■■■ ■ *•> ^ ■zr^- as s -7 Encyclopaedia britannica,- D I C T I 6 NARY O F ARTS, SCIENCES, AND MISCELLANEOUS LITERATURE; Conftrufted on a Plan, BY WHICH THE DIFFERENT SCIENCES AND ARTS Are digefted into the Form of Dillinft TREATISES or SYSTEMS, COMPREHENUUtO The History, Theory, and P r a c t i c e, of each, according to the Lateft Difcoveries and Improvements; jfND full EXPLANATIONS given of the VARIOUS DETACHED PARTS OF KNOWLEDGE, WHETHER RELATING TO Natural and Artificial Objeds, or to Matters Ecclesiastical, Civil, Military, Commercial, &c. Including Elucidations of the mod important Topics relative to Religion, Morals Manners, and the Oeconomy of Life : A Description of all the Countries, Cities, principal Mountains, Seas, Rivers, 6c. throughout the W o r L d j A General Histort, Ancient and Modern, of the different Empires, Kingdoms, and States; An Account of the Lives of the moll Eminent Perfons in every Nation, from the earlieft ages down to the prefent times. Compiled fr^m the 'writings of the heft Authors, i* fevural language ; the mofl approv'd Tnaiouarh,, as ■well of general feiom* a, ofinp^i- cuiar branches ; the Tranfaflions, Journals, and Memoirs, of Learned Societies, both at home and abroad-, the MS. Leitures of , Emlnent Pro/eI MDv'CXCVn, entered in ^tationer.^ ^all in Cerm# of ttc aa of Parliament Encyclopaedia Britannica. l e s Leftnff, ■»* ESTOFF, or Leostoff, a tov^n of Suffolk in ,’Eftrange. England, feated on the fea-lhore, 117 miles north- 'r~~~ weft of London. It is concerned in the fifheries of the North-fea, cod, herrings, mackerels, and fprats; has a church, and a diflenting meeting-houfe; and for its fecuritv, fix eighteen-pounders, which they can move as occafion requires; but it has no battery. The town confifts of 500 houfes; but the ftreets, though toler¬ ably paved, are narrow. It has a market on Wednef- days, and two fairs in the year for petty chapmen. The coaft is there very dangerous for ftrangers. L’ESTRANGE (Sir Roger), a noted writer in the 17th century, was defcended from an ancient fa¬ mily, feated at Hunftanton-hall in the county of Nor¬ folk, where he was born in 1616, being the youngeft fon of Sir Hammond L’Eftrange baronet, a zealous royalift. Having in 1644 obtained a commiflion from King Charles I. for reducing Lynn in Norfolk, then in pofTefiion of the parliament, his defign was difcovered, and his perfon feized. He was tried by a court mar¬ tial at Guildhall in London, and condemned to die as a fpy ; but was reprieved, and continued in Newgate for feme time. He afterward went beyond fea; and in Auguft 1653 returned to England, where he ap¬ plied himfelf to the prote&or Oliver Cromwell, and having once played before him on the bafs-viol, he was by fome nicknamed Oliver'sJiddler. Being a man of parts, matter of an eafy humorous ftyle, but withal in narrow circumftances, he fet up a newfpaper, under the title of The Public Intelligencer, in 1663 ; but which he laid down, upon the publication of the firft London gazette in 1665, having been allowed, how¬ ever, a confideration by governmeut. Some time af¬ ter the Popilh plot, when the Tories began to gain the afeendant over the Whigs, he, in a paper called the Obfervator, became a zealous champion for the former. He was afterwards knighted, and ferved in the parlia¬ ment called by King James II. in 1685. But things taking a different turn in that prince’s reign, in point of liberty of confcience, from what molt people expect¬ ed, our author’s Obfervators were difufed as not at all Anting the times. However, he continued licenfer of the prefs till King William’s acceffion, in whofe reign he met with fome troubl* as a dififfefted perfon. However, he went to his grave in peace, after he had in a manner furvived his intellectuals. He publilhed a grtat many political traCts, and tranllated feveral works from the Greek, Latin, and Spanilh; viz. Jo- fephus’s works, Cicero’s Offices, Seneca’s Morals, E- rafmus’s Colloquies, jEfop’s Fables, and Bonas’s Guide to Eternity, The character of his ftyle has been va- rioiifly reprefented; his language being obferved by Vol. X. Part I. LET fome to be eafy and humorous, while Mr Gordon fays, “ that his productions are not fit to be read by any who have tafte or good-breeding. They are full of phrafes picked up in the ftreets, and nothing can be more low or naufeous.” LESTWEITHEL, a town of Cornwal in Eng¬ land, about 229 miles diftant from London. It is a well-built town, where are kept the common gaol, the weights and meafures for the whole ftannary, and the county courts. It Hands on the river Foy, which brought up veffels from Fowey, before it was choaked up with fand coming from the tin-mines, and therefore its once flourifhing trade is decayed ; but it holds the bufhelage of coals, fait, malt, and corn, in the town of Fowey, as it does the anchorage in its harbour. It wras made a corporation by Richard earl of Cornwai when he was king of the Romans, and has had other charters fince. It confifts of feven capital burgeffes (whereof one is a mayor), and 17 affiftants or common council. It is part of the duchy of Cornwal, to which it pays L. 11 : 19: 10a year for its liberties. Its chief trade is the woollen manufactory. Its church has a fpire, the only one except that of Helfton in the coun¬ ty. Its market is Friday, and its fairs are three. It firft returned members to parliament in the 33d of Ed¬ ward I. They are chofen by their burgeffes and af¬ fiftants. It was anciently the (hire-town, and the knights of the (hire arC ftill chofen here. LETCHLADE, a town of(Gloucefter(hire,9omilc* from London, on the borders of Oxfordftiire and Berks, and the great road to Gloucefter; had anciently a nun¬ nery, and a priory of black canons. In this parifh is Clay-hill. The market is on Tuefday; and it has two fairs. It is fuppofed to have been a Roman town: for a plain Roman road runs from hence to Cirencefter; and by digging in a meadow near it fome years ago, an old building was difcovered, fuppofed to be a Roman bath, which was 50 feet long, 40 broad, and 4 high, fupported with 100 brick pillars, curioufly inlaid with {tones of divers,colours of tefferaic work. The Leech, the Coin, the Churn, and Ifis, which all rife in the Cotfwould-hill, join here in* one full ftream, and be¬ come one river, called the Thames, which begins here to be navigable, and barges take in butter, cheefe, and other goods, at its quay for London. LETHARGY, in medicine (from oblivion, and ttphx numbnefs, lazimfs), a difeafe confifting of a pro¬ found drowfinefs or fleepinefs, from which the patient can fcarce be awaked ; or, if awaked, he remains ftu- pid, without fenfe or memory, and prefently finks again into his former fleep. See MEDiciNE-/«//«r. Lethargy, in farriery. See there, § 9. A LETHE, Leftweithel II Lethargy. LET [2 Letie LETHE, in the ancient mythology, pne of the li rivers of hell, fignifying oblivion or forgetfulnefs ; its Letct~' , waters having, according to poetic fiftion, the peculiar "t" , quality of making thofe who drank them forget every thing that was paft. LET! (Gregorio), ?.n eminent Italian writer, was defcended of a family which once made a confiderable ■figure at Bologna : Jerom, his father, was page to prince Charles de Medicis; ferved feme time in the troops of the grand duke as captain of foot; and fettling at Milan, married there in 1628. He was af¬ terward governor of Almantea in Calabria, and died at Salerno in 1639. Our author was born at Milan in 1630, ftudied under the Jefuits at Cofenza, and was afterward fent by an uncle to Rome, who would have him enter into the church; but he being averfe to it, went into Geneva, where he ftudied the govern¬ ment and the religion there. Thence he went to Lau- fanne; and contracting an acquaintance with John Anthony Guerin, an eminent phyiician, lodged at his houfe, made profeffion of the Calvinift religion, and married his daughter. He fettled at Geneva; where he fpent almoft twenty years, carry!rig on a correfpon- dence with learned men, efpecially thofe of Italy. Some contefts obliged him to leave that city in 1679; upon which he went to France, and then into England, where he was received with great civility by Charles II. who, after his firft audience, made him a prefent of a thou- i’and crowns, with a promife of the place of hiftorio- grapher. He wrote there the Hiftory of England; but that work not pleafing the court on account of his too great liberty in writing, he was ordered to leave the kingdom. He went to Amfterdam in 1682, and was honoured with the place of hiftoriographer to that city. He died fuddenly in 1701. He was a man of indefatigable application, as the multiplicity of his works fliow. The principal of thefe are, 1. The uni- verfal monarchy of Louis XIV. 2. The life of Pope Sixtus V. 3. The life of Philip II. king of Spain, yf. The life of the emperor Charles V. 5. The life 'of Elizabeth; queen of England. 6. The hiftory of Oliver Cromwell. 7. The hiftory of Great Britain, 5 vols 12mo. 8. The hiftory of Geneva, &c.. LET RIM, a county of Ireland, in the province of Connaught, 44 miles in length and 17 in breadth; bounded on the eaft and north-eaft by Cavan and Fer¬ managh, by Sligo and Rofcommon on the weft and fouth-weft, and by Longford on the eaft and fouth-eaft. It is a hilly country, with rank grafs, which feeds a great number of cattle. The chief town if, Letrim, ieated not far from the river Shannon. It contains 4000 houfes, 21 parities, 5 baronies, 2 boroughs, and fends 6 members to parliament. LETTER, a charadler ufed to exprefs one of the fun pie founds of the voice ; and as the different fimple founds are expreffed by different letters, thefe, by be¬ ing differently compounded, become the vifible figns •r characters of all the modulations and mixtures of founds ufed to exprefs our ideas in a regular language ; (See Lanquage). Thus, as by the help of fpeech we render our ideas audible ; by the affiftance of letters we render them vifible, and by their help we can wrap up our thoughts, and fend them to the moft diftant parts of the earth, and read the tranfaClions of different ages. As tq the firft letters, what they were, who firft in- 1 LET vented them, and among what people they were firft Le in ufe, there is ftill room to doubt: Philo attributes this great and noble invention to Abraham ; Jofephus, St Irenseus, and others, to Enoch ; Bibliander, to A- dam ; Eufebius, Clemens Alexandrinus, Cornelius Agrippa, and others, to Mofes; Pomponius Mela, Herodian, Rufus Feftus, Pliny, Lucan, See. to the Phoenicians ; St Cyprian, to Saturn ; Tacitus, to the Egyptians ; fome, to the Ehtiopians ; and others, to the Chinefe : but, with refpecl to thefe laft, they can never be intitled to th^s honour, fince all their charac¬ ters are the figns of words, formed without the ufe of letters ; which renders it impoflible to read and write their language without a vaft expence of time and trouble ; and abfolutely impoffible to print it by the help of types, or any other manner but by engraving, or cutting in wood. See Printing. ‘ There have been alfo various conjeClures about the different kinds of letters ufed in different languages : thus, according to Crinitus, Mofes invented the He¬ brew letters ; Abraham, the Syriac and Chaldee ; the Phoenicians, thofe of Attica, brought into Greece by Cadmus, /and from thence into Italy by the Pelaf- gians ; Nicoftrata, .the Roman ; Ifis, the Egyptian ; and Vulfilas, thofe of the Goths. ^ It is probable, that the Egyptian hieroglyphics, were the firft’manner of writing : but whether Cadmus and the Phoenicians learned the ufe of letters from the Egyptians, or from their neighbours of Judea or Sa¬ maria, is a queftion ; for fince fome of the books of the Old Teftament were then written, they are more likely to have given them the hint, than the hierogly¬ phics of Egypt. But wherefoever the Phosqicians learned this art, it is generally agreed, that Cadmus the fqn of Agenor firft brought letters into Greece ; whence, in following ages, they fpread over the reft of Europe. See Alphabet and Writing, Letters make the firft part or elements of grammar ; an affemblage of thefe compofe fyllables and words, and thefe compofe fentences. The alphabet of every language confifts of a number of letters, which ought each to have a different found, figure, and ufe. As the difference of articulate founds was intended to ex¬ prefs the different ideas of the mind, fo one letter was originally intended to fignify only one found, and not,, as at prefent, to exprefs fometimes one found and fometimes another ; which practice has brought a great deal of confufion into the languages, and rendered the learning of the modern tongues much more difticult, than it would otherwife have been. This confidera, tion, together with the deficiency of all the known al¬ phabets, from their wanting fome letters to exprefs- certain founds, has occafioned feveral attempts towards an univerfal alphabet, to contain an enumeration of all fuefi fingle founds or letters as are ufed in any lan¬ guage. See Alphabet. Grammarians diftinguiih letters into vowels, confo- nants, mutes, liquids, diphthongs, and charafteri- ftics. They are likewife divided into capital and fmall letters. They are alfo denominated from the fhape. and turn of the letters ; and in writing are diftinguifh- ed into different hands, as round-text, Germanrtext, round-hand, Italian, &c. and in printing, into Roman, Italic, and black letter., The termLETTER, or Typex among printers, noton- ' H LET [ 3 1 LET letter. 1y includes the CAPITALS, small CAftrALs, and fmall letters, but all the points, figures, and other marks call and ufed in printing; and alfo the large ornamental letters, cut in wood or metal, which take place of the illumined letters ufed in manufcripts. The letters ufed in printing are caft at the ends of fmall pieces of metal, about three quarters of an inch in length ; and the letter being not indented, but raifed, eafily gives the imprefiion, when, after being blacked with a glutinous ink, paper is clofely prefFed upon it. See the articles Printing and TirpE. A fount of letters includes fmall letters, capitals, fmall capitals, points, figures, fpaces, &c.; but befides, they have dif¬ ferent kinds of two-line letters, only ufed for titles, and the beginning of books, chapters, &c. See Fount. Letter is alfo a writing addreffed and fent to a perfon. See Epistle. The art of epiftolary writing, as the late tranflator of Pliny’s Letters has obferved, was efteemed by the Romans in the number of liberal and polite accom- plifhments; and we find Cicero mentioning with great pleafure, in feme of his letters to Atticus, the elegant fpecimen he had received from his fon of his genius in this way. It feems indeed to have formed part of their education; and, in the opinion of Mr Locke, it well deferves to have a (hare in ours. “ The wri- ting of letters (as that judicious author obferves) enters fo much into all the occafions of life, that no “ gentleman can avoid (hewing himfelf in compofi- “ tions of this kind. Occurrences will daily force him to make this ufe of his pen, which lays open his “ breeding, his fenfe, and his abilities, to a feverer “ examination than any oral difeourfe.” It is to be wondered we have fo few writers in our own language who deferve to be pointed out as models upon fuch an occafion. After having named Sir William Temple, it would perhaps be difficult to add a fecond. The elegant writer of Cowley’s life mentions him as excelling in this uncommon talent; but as that author declares himfelf of opinion, “ That letters which pafs between familiar friends, if they are written as they (hould be, can fcarce ever be fit to fee the light,” the world is deprived of what no doubt would have been well worth its infpeftion. A late diftinguiffied genius treats the very attempt as ridiculous, and profeffes himfelf “ a mortal enemy to what they call a jine letter.” His averfion however was not fo ftrong, but he knew to conquer it when he thought proper; and the letter which clofes his correfpondence with biffiop Atterbury is, perhaps, the mod genteel and manly addrefs that ever was penned to a friend in difgrace. The truth is, a fine letter does not confifl. in faying fine things, but in expreffing ordinary ones in an uncommon man¬ ner. It is thepnprle communia dicere, the art of giving grace and elegance to familiar occurrences, that con- ilitutes the merit of this kind of writing. Mr Gay’s letter, concerning the two lovers who were (truck dead with the fame flafh of lightning, is a mailer-piece of the fort; and the fpecimen he has there given of his talents for this fpecies of compofition makes it much to be regretted we have not more from the fame hand. Ward's Of l^e Style of Epi/lolary Compofition. Purity in the Oratory. choice of words, and juftnefs of conftruftion, joined with perfpicuity, are the chief properties of this (lyle. Accordingly Cicero fays : In writhg letters, we LetNr . make ufe of common words j(nd exprefiions.” And —w— Seneca more fully, “ I would have my letrers to be _ like my difeourfes, when we either fit or walk to¬ gether, unftudied and eafy.” And what prudent man, in his common difeourfe, aims at bright and ftrong figures, beautiful turns of language, or la¬ boured periods ? Nor is it always requiiite to attend to exadt order and method. He that is mafter of what he writes, will naturally enough exprefs his thought without perplexity and confulion; and more than this is feldom neceffary, efpecially in familiar letters. Indeed, as the fubjefts of epiftles are exceedingly various, they will neceflarily require fome variety in the manner of expreffion. If the fubjeft be fometh>-g ..eighty and momentous, the language (hould be ftrong and folemn ; in things of a lower nature, more free and eafy; and upon lighter matters, jocofe and pleafant. In exhortations, it ought to be lively and vigorous; in confolations, kind and compaffionate; and in advifing, grave and ferious. In narratives, it (hould be clear and diftindl; in requefts, modeft; in commen¬ dations, friendly; in profperity cheerful, and mournful in adverfity. In a word, the ftyle ought to be ac¬ commodated to the particular nature of the thing about which it is converfant. Befides, the different chara&er of the perfon, t® whom the letter is written, requires a like difference in the modes of expreffion. We do not ufe the fame language to private perfons, and thofe in a public fta- tion; to fuperiors, inferiors, and equals. Nor do we exprefs ourfelves alike to old men and young, to the grave and facetious, to courtiers and philofophers, to our friends and ftrangers. Superiors are to be ad¬ dreffed to with refpeft, inferiors with courtefy, and equals with civility; and every one’s charadler, fta- tion, and circumftances in life, with the relation we (land in to him, occafions fome variety in this refpeft. But when friends and acquaintances correfpond by letters, it carries them into all the freedom and good- humour of converfation ; and the nearer it refembles that, the better, fince it is defigned to fupply the room of it. For when friends cannot enjoy each others company, the next fatisfadtion is to converfe with each other by letters. Indeed, fometimes greater freedom is ufed in epiftles, than the fame perfons would have taken in difeourfing together; becaufe, as Cicero fays, “ A letter does not blulh.” But dill nothing ought to be faidin a letter, which, confidered in itfelf, would not have been fit to fay in difeourfe ; though modefty perhaps, or fome other particular reafon, might have prevented it. And thus it fre¬ quently happens in requefts, reproofs, and other cir¬ cumftances of life. A man can a(k that by writing, which he could not do by words, if prefent; or blame what he thinks amifs in his friend with greater liberty when abfent, than if they were together. From hence it is eafy to judge' of the fitnefs of any expreffion to (land in an epiftle, only by confidering, whether the fame way of fpeaking would be proper in talking with the fame perfon. Indeed, this difference may be al¬ lowed, that as perfons have more time to think, when they write, than when they fpeak ; a greater accu¬ racy of language may fometimes be expefted in one,, A 3 tbcifi LET l , Letter, than the ether. However, this makes no odds as to Letpiff. t|le kmd of ftyle; 'for every one would choofe to fpeak' ~ ' as correftly as he writes, if he could. And there¬ fore all fuch words and expreflions, as are unbecom¬ ing in eonverfation, fhould be avoided in letters ; and a manly fimplicity free of all affedfation, plain, but decent and agreeable, fhould run through the whole. This is the ufual llyle of Cicero’s epiftles, in which the plainnefs and fimplicity of his diction is accom¬ panied with fomething fo pleafant and engaging, that he keeps up the attention of his reader, without fuf- fering him to tire. On the other hand, Pliny’s ftyle is fuccindl and witty ; but generally fo full of turns and quibbles upon the found of words, as apparently render it more ftiff and affected than agrees with converfation, or than a man of fenfe would choofe in difeourfe,’ were it in his power. You may in fome meafure judge of Pliny’s manner, by one ftiort letter to his friend, which runs thus : “ How fare you ? As I do in the country? pleafantly ? that is, at leifure? For which reafon I do not care to write long letters, but to read them ; the one as the effedt of nicenefs, and the other of idlenefs. For nothing is more idle than your nice folks, or curious than- your idle ones. Farewell.” Every fentence here confifts of an anti- theiis, and a jingle of words, very different from the __ ftyle of converfation, and plainly the. effedt of ftudy. But this was owing to the age in which he lived, at which time the Roman eloquence was funk into puns, and an affectation of wit; for he was otherwife a man of fine fenfe and great learning. Letter of Attorney^ in law, is a writing by which one perfon authorifes another to do fome lawful adk in his ftead; as to give feiiin of lands, to receive debts, fue a third perfon, &c. The nature of this inftrument is to transfer to the perfon to whom it is' given, the whole power of the maker, to enable him to accomplilh the act intended to be performed. It is either general or fpecial: and fometimes it is made revocable, which is when a bare authority is only given ; and fometimes it is irrevo¬ cable, as where debts, &c. are affigned from one per¬ fon to another. It is generally held, that the power granted to the attorney muft be ftridtly purfued ; and that where it is made to three perfons, two cannot execute it. In molt cafes, the power given by a let¬ ter of attorney determines upon the death of the per¬ fon who gave it. • No letter of attorney made by any teamen, &c. in #ny Ihip of war, or having letters of -marque, or by their executors, &c. in order to em¬ power any perfon to receive any (hare of prizes or bounty-money, lhall be valid, unlefs the fame be made revocable, and for the ufe of fuch feamen, and be figned and executed before, and attefted by, the cap¬ tain and one other of the figning officers of the Ihip, oi the mayor or chief magiftrate of fome corporation. Letter of Mart or Marque. See Marque. Letters Patent or Overt, are writings fealed with the great feal of England, whereby a man is autho- rifed to do, or enjoy any thing, which, of himfelf, he could not do. See Patent.-*-They are fo called, by reafon of their form ; as being open, with the feal affixed, ready to be Ihown for the confirmation of the authority given by them. LETTUCE, in botany. Sec Lactuca. M LEU LEVANT, in geography, fignifies any country Levant fituated to the eaft of us, or in the eaftern fide of any H" continent or country, or that on which the fun rifes. ^eucata. Levant, is alfo a name given to the eaftern part of the Mediterranean fea, bounded by Natolia or the Leffer Afia on the north, by Syria and Paleftine on the eaft, by Egypt and Barca on the fouth, and by the illand of Candia and the other part of the Medi¬ terranean on the weft. LEVATOR, in anatomy, a name given to feveral mufcles. See Anatomy, ‘Talk of the Mufcles. LEUCA, in antiquity, a geographical meafure of length in ufe among the later Gauls; which, accord¬ ing to Jornandes, who calls it leuga,. contained fif¬ teen hundred paces, or one mile and a half. Hence the name of league, now reckoned at three miles ; in the lower age, called leuva. LEUCADENDRON, in botany: A genus of the monogynia order, belonging to the tetrandria clafs of plants; and in the natural method ranking under the 48th order, Aggregate. The florets are tripetalous,. with one petal of each trifid; the receptacle is a little villous; there is no proper calyx; the anthene are al- moft coalited. LEUCADIA, formerly called Neritis, a penin- fula of Acarnania, (Homer) ; but afterwards, by cutting through the peninfula, made an ifland, as it is at this day, called St Maura. LEUCAS, (anc. geog.), formerly called Neritos and Neritum, a town of Leucadia or Leucas ; fituated near a narrow neck of land, or ifthmus, on a hill fa¬ cing the eaft and Acarnania: the foot or lower part of the town was a plain lying orv the fea by whick Leucadia was divided from Acarnania, (Livy); though,- Thucydides places Leucas more inward in the ifland, which was joined to the continent by a bridge. It was an illuftrious city, the capital of Acarnania, and the place of general affembly. LEUCATA, or Leucate, (anc. geog.); a pro¬ montory of Leucadia according to Strabo, a white rock projedting into the fea towards Cephalenia, on which flood a temple of Apollo furnamed Leucadius. At his feftival, which was annually celebrated here, the people were accuftomed to offer an expiatory facrifice to the god, and to avert on the head of the victim all the calamities with which they might be threatened, For this purpofe, they made choice of a criminal con- demned to die ; and leading him to the brink of the promontory, precipitated him into the fea amidft the loud fhouts of the fpedlators. The criminal, how¬ ever, feldom perilhed in the water: for it was the cuftom to cover him with feathers, and to fatten birds to his body, which by fpreading their wings might ferve to break his fall. No fooner did he touch the fea, than a number of boats ftationed for the purpofe flew to his affiftance, and drew him out; and after be¬ ing thus faved, he was banifhed for ever from the territory of Leucadia. {Strabo, lib. 10. p.452.) According to ancient authors, a ftrange opinion, concerning this promontory prevailed for fome time among the Greeks. They imagined that the leap of Leucata was a potent remedy againft the violence ot love. Hence difappointed or defpairing lovers, it is faid, were often known to have come to Leucadia; and, having afeended the promontory, offered faerr- fiees LEU [ Leuc^pu? fices in the temple, and engaged by a formal vow to 1 Lci coma Pjer^orm t^ie defperate aft, to have voluntarily preci- ■ pitated themfelves into fea. Some are reported to have recovered from the effects of the fall ^ and among o- § Ptolem. thers mention is made $ of a citizen of Buthroton, in Hephajl. Epirus, whofe paffions always taking fire at new ob- ap. Phot. je<3.Sj jje four times had recourfe to the fame remedy, and always with the fame fuccefs. As thofe who made the trial, however, feldom took any precaution to render their falHefe .rapid, they were generally deflxoy- ed; and women often fell viftims to this aft of defpe- ration.—At Leucata was fhown the tomb of Artemi- fia, that celebrated queen of Caria who gave fo many t Herodot. proofs of courage at the battle of Salamis f. Inflamed Kh. 8. with a violent paflion for a young man who inflexibly ^ '' refufed her love, fhe furprifed him in his fleep and put out his eyes. Regret and defpair foon brought her to Leucata, where fhe perifhed in the waves notwithlland* I VtoUm. ing every effort to fave her j. Such likewife was the Hephaji. end of the unhappy Sappho. Forfaken by her lover 1 '• Phaon, fhe came hither to feek relief from her fuf- ferings, and found her death. [Menand. ap. Strab. lib. io. p. 452.) LEUCIPPUS, a celebrated Greek philofopher and mathematician ; firft author of the famous fyftem «f atoms and vacuums, and of the hypothefis of itorms; fince attributed to the moderns. He flourifhed about 428 B. C. LEUCOGiEUS, (anc. geog.), a hill fituated be¬ tween Puteoli and Neapolis in Campania, abounding in fulphur ; now I'Aiumra. Whence there were alfo fprings called Leucog/tl fantes; the waters of which, ac¬ cording to Pliny, gave a firmnefs to the teeth, clear- nefs to the eyes, and proved a cure in wounds. LEUCOJUM, Great Snow-drop : a genus of the monogynia order, belonging to the hexandria clafs of plants; and in the natural method ranking under the ninth order, Spathacea. The corolla is campanu- lated, fexpartite, the fegments increafed at the ppints, the ftigma Ample. Species. 1. The vernum, or fpring leucojum, has an oblong bulbous root, fending up feveral flat leaves fix or eight inches long; and amidfl: them an upright, channelled, hollow, naked flalk, about a foot high, terminated by a fpatha, protruding one or two white flowers on flender footftalks drooping down¬ wards, and appearing in March. 2. The reftivum, or fummer leucojum, has a large, oblong, bulbous root, crowmed with feveral long, fiat, broad leaves; and a- midft them an upright, thick, hollow ftalk, 15 or i8: inches high ; terminated by a fpatha, protruding many white flowers, on flender footftalks, drooping down¬ wards ; flowering in May. 3. The autumnale, or au¬ tumnal leucojum, hath a large oblong bulbous root, crowned with many narrow leaves, an upright, naked,, hollow ftalk, terminated by a fpatha protruding many white flowers on long weak footftalks, hanging down¬ wards, and flowering in autumn. Culture. All the three fpecies are very hardy, du¬ rable in root, and nlcreafe exceedingly by offsets, which may be feparated eveiy two or three years. LEUCOMA, in antiquity, was a public regifter amongft the Athenians, in which were inferted the names of all the citizens, as foon as they were of age to enter upon their paternal inheritance. 5 1 LEU Leucoma, in furgery, a diftemper of the eye, heueopetra otherVvife called See Albugo, and Surgery. ^ LEUCOPETRA, (anc. geog.) fo called from its . white colour (Strabo) ; a promovrtory of the Bruttii, in the territory of Rhegium : the termination of the Apennine. The outmoft extremity of the Bruttii, or the modern Calabria Ultra ; as the Japygium is of the ancient Calabria, or the modern Calabria Citra. LEUCOPETRIANS, in ecclefiaftical hiftory, the name of a fanatical feft which fgrang up in the Greek and Eaftern churches towards the clofe of the 12th century : the fanatics of this denomination profeffed to believe in a double Trinity, rejefted wedlock, abflain- ed from flefh, treated with the utmoft contempt the facraments of Baptifm and the Lord’s Supper, and all the various branches of external worfhip; placed the eflefu^ of religion in internal prayer alone, and main¬ tained, as it is faid, that an evil being, or genius, dwelt in the breaft of every mortal, and could be ex¬ pelled from thence by no other method than by per¬ petual fupplication to the Supreme Being. The founder of this enthufiaftical feft is faid to have been a perfon called Leucopetrus, and his. chief difciple Ty- chicus, who corrupted, by fanatical interpretations, feveral books of feripture, and particularly St Mat¬ thew’s gofpel. LEUCOPHLEGMATIA, in medicine, a kind of dropfy, otherwife called anafarca. See {Index fub- joined to) Medicine. LEUCOTHOE, or LeucotheA (fab. hift.), the wife of Athamus, changed into a fea deity; fee L-jo. She was called Matuta by the Romans. She had a temple at Rome, where all the people, particularly women, offered vows for their brother’s children. They did not intreat the deity to proteft their own- children, becaufe Ino had been unfortunate in hers. No female flaves wpre permitted to enter the temple ; or if their curiofity tempted them to tranfgrefs this rule, they were beaten with the greateft feverity. To this fupplicating for other people’s children, Ovid al¬ ludes in thefe lines; Non tamen hanc proJlitpt fua pia mater adarat, Ipfa parum felix vifa fuijfe parens. Faft. 6. LEUCTRA, (anc. geog-), a town of Bceotia, to» the weft of Thebes, or lying between Plate as and Thef- piae, where the Lacedemonians had a great defeat gi- . ven them by Epaminondas and" Pelopidas the Thebam generals. The Theban army confifted at moft but of 6000 men, whereas that of the enemy was at leaft thrice that number : but Epaminondas trufted moft in his horje, wherein he had much the advantage, both in their quality and good management; the reft he en¬ deavoured to fupply by the difpofition of his men, and the vigour of the attack. He even refufed to fuffer any to ferve under him in the engagement, but fuch as he knew to be fully refolved to conquer or die. He put himfelf at the head of the left wing, oppofite to Cleombrotus king of Sparta, and placed the main ftrefs of the battle there ; rightly concluding, that if he could break the body of. the Spartans, which was but 12 men deep, whereas his own was 50, the reft would be foon put to flight. He clofed his own with- the facred band, which was commanded by Pelopidas j- and placed hi$ horfe in the front. His right, from which he had drawn fo many men,, he ordered to fall. LEV [ 6 uflra, back, in a flanting line, as if they declined to fight, cve*‘ that they might not be too much expofed to the e- ^ nemy, and might ferve him for a corps of referve in cafe of need. This was the wife difpofition which the two Theban generals made of their few but refolute forces; and which fucceeded in every part, according to their wifh. Epaminondas advanced with his left wing, extending it obliquely, in order to draw the ene¬ my’s right from the main body} and Pelopidas char¬ ged them with fuch defperate fpeed and fury, at the head of his battalion, before they could reunite, that their horfe, not being able to lland the (hock, were forced back upon their infantry, which threw the whole into the greateft confufion : fo that though the Spartans were of all the Greeks the moft expert in re¬ covering from any furprife, yet their ikill on this oc- cafion either failed them or proved of no effe6t ;*for the Thebans, obferving the dreadful impreffion they had made on them with their horfe, puihed furioufly upon the Spartan king, and opened their way to him with a great flaughter. Upon the death of Cleombrotus, and feveral officers of note, the Spartans, according to cuftom, renewed the fight with double vigour and fury, not fo much to revenge his death as to recover his body, which was fucli an eftabliflied point of honour as they could not give up without the greateft difgrace. But here the Theban general wifely chofe rather to gratify them in that point, than to hazard the fuccefs of a fecond onfet; and left them in poffeffion of their king, whilft he marched ftraight againft their other wing, commanded by Archidamus, and confifted chiefly _ of fuch auxiliaries and allies as had *rot heartily enga-1 ged in the Spartan intereft: thefe were fo difcou- raged by the death of the king and the defeat of that wing, that they betook themfelves to flight, and were prefently after followed by the reft of the army. The Thebans, however, piirfued them fo clofely, that they made a fecond dreadful flaUghter among them; which completed Epaminondas’s viftory, who remain¬ ed mafter of the field, and erefted a trophy in memory of it. This was the conelufion of the famed battle of Leuftra, in which the Lacedemonians loft 4000 men, and the Thebans but 300. LEVEL, an inftrument wherewith to draw a line pa¬ rallel to the horizon, by means of which the true level, or the difference of afeent or defeent between feveral places, may be found, for conveying water, draining fens, &c. There are feveral iuftruments of different contrivance and matter, invented for the perfeftion of levelling ; all of which, for the practice, may be reduced to the following. Air-LavKi, that which dhows the line of level by means of a bubble of air inclofed with fome liquor in a glafs-tube of an indeterminate length and thicknefs, whofe two ends are hermetically fealed. When the bubble fixes itfelf at a certain mark, made exadily in the middle of the tube, the plane or ruler wherein it is fixed is level. When it is not level, the bubble wiU rife Ao one end. This glafs-tube may be fet in another of brafs, having an aperture in the middle, whence the bubble of air may be obferved. The liquor wherewith ahe tube is filled is oil of tartar, or aqua fecunda ; tkefe not beifig liable to freeze as common water, nor io rarefaction and condenfation, as fpirit of wine is. ] LEV This application of a bubble of air was the invention Level* of Dr Hooke. y—J There is one of thefe inftruments made with fights, being an improvement upon that laft deferibed, which, by the addition of more apparatus, becomes more commodious and exaft. It confifts of an air-level, fig. 1. about eight q^xX inches long, and feven or eight lines in diameter, fet in a brafs tube, 2, with an aperture in the middle, C. The tubes are carried in a ftrong ftraight ruler, a foot long; at whofe ends are fixed two fights, 3,3, exadtly perpendicular to the tubes, and of an equal height, having a fquare hole, formed by two fillets of brafs croffing each other at right angles, in the middle whereof is drilled a very little hole, through which a point on a level with the inftrument is deferied. The brafs tube is faftened on the ruler by means of two ferews ; one whereof, marked 4, ferves to raife or de- prefs the tube at pleafure, for bringing it towards a level. The top of the ball and focket is rivetted to a little ruler that fprings, one end whereof is faftened with ferews to the great ruler, ajid at the other end has a_ ferew, 5, ferving to raife and deprefs the inftrument when nearly level. The inftrument juft deferibed, however, is yet lefs commodious than the following oile; becaufe though the holes be ever fo fmall, yet they Tvill ftill take in too great a fpace to determlhe the point of level precifely. The inftrument alluded to confifts of an air-level, with telefcope fights. This level (fig. 2.) is like the laft; with this difference, that, inftead of plain fights, it carries a telefcope to determine exaftly a point of level at a good diftance. The telefcope is a little brafs-tube, about 15 inches long, faftened on the fame ruler as the level. At the end of the tube of the telefcope, mark¬ ed 1, enters the little tube 1, carrying the eye-glafs and an hair horizontally placed in the focus of the ob* jeft-glafs, 2 ; which little tube may be drawn out, or puftied into the great one, for adjufting the telefcope to different fights: at the other end of the telefcope is placed the objeA-glafs. The ferew 3, is for railing or lowering the little fork, for carrying the hair, and making it agree with the bubble of air when the in¬ ftrument is level; and the ferew 4, is for making the bubble of air, D or E, agree with the telefcope : the whole is fitted to a ball and focket. M. Huygens is faid to be the firft inventor of this level; which has this advantage, that it may be inverted by turning the ru¬ ler and telefcope half round; and if then the hair cut the fame point that it did before, the operation is juft. It may be obferved, that one may add a telefcope to any kind of level, by applying it upon, or parallel to, the bafe or ruler, when there is occafion to take the le- . vel of remote qbjetfts. Dr Defaguliers contrived an inftrument, by which the difference of level of two places, which could not be taken in lefs than four or five days with the ‘beft telefcope-levels, may be taken in as few hours. The inftrument is as follows. To the ball C (fig. 3.) is joined a recurve tube B A, with a very fine bore, and a fmall bubble at top A, whofe upper part is open. It is evident from the make of this inftrument, that if it be inclined in carrying, no prejudice will be done to the liquor, which will always be right both in the ball and tube when the inftrument is fet upright. If the air at C be fo expanded with heat, as to drive the 6 liquor L E V [ Level, liquor to the top of the tube, the cavity A will receive ■—Y—' the liquor, which will come down again and fettle at D, or near it, according to the level of the place where the inllrument is, as foon as the air at C returns to the feme temperament as to heat and cold. To preferve the feme degree of heat, when the different obfervations are made, the machine is fixed in a tin vef- fel E F, filled with water up to g h, above the ball, and a very fenfible thermometer has alfo its ball under water, that one may obferve the liquor at D, in each experiment, when the thermometer Hands at the fame height as before. The water is poured out when the inftrument is carried; which one may do conve¬ niently by means of the wooden frame, which is fet upright by the three fcrews, S, S, S, fig. 4. and a line and plummet P P, fig. y. At the back part of the wooden frame, from the piece at top K, hangs the plummet P, over a brafs point at N; M m are brackets to make the upright board K N continue at right angles with the horizontal one at N. Fig. 6. reprefents a front view of the machine, fuppofing the fore part of the tin-veffel tranfparent; and here the brafs-focket of the recurve-tube, into which the ball is fcrewed, has two wings at 11, fixed to the bottom, that the ball may not break the tube by its endeavour to emerge when the water is poured in as high as^ h. After the Dodlor had contrived this machine, he confidered, that as the tube is of a very fmall bore, if the liquor fhould rife into the ball at A (fig. 3.) in car¬ rying the inftrument from one place to another, fome of it would adhere to the fides or the ball A, and up¬ on its defcent in making the experiment, fo much might be left behind, that the liquor would not be high enough at D to fhow the difference of the level: therefore, to prevent that inconveniency, he contrived a blank fcrew, to Ihut up the hole at A, as foon as one experiment is made, that, in carrying the machine, the air in A may balance that in C, fo that the liquor fhall not run up and down the tube, whatever degree of heat and cold may aft upon the inftrument, in go¬ ing from one place to another. Now, becaufe one ex¬ periment may be made in the morning, the water may be fo cold, that when a fecond experiment is made at noon the water cannot be brought to the feme degree of cpld it had in the morning ; therefore, in making the firft experiment, warm water muft be mixed with the cold, and when the water has ftood fome time, be¬ fore it comes to be as cold as it is likely to be at the warmeft part of that day, obferve and fet down the de¬ gree of the thermometer at which the fpirit Hands, and likewife the degree of the water in the barometer at D ; then fcrew on the cape at A, pour out the wa¬ ter, and carry the inftrument to the place whofe level you would know ; then pour in your water, and when the thermometer fs come to the fame degree as before, open the fcrew at top, and obferve the liquor in the barometer. The Do&or’s fcale for the barometer is ten inches long, and divided into tenths; fo that fuch an ihftru- ment will ferve for any heights not exceeding ten feet, each tenth of an inch anfwering to a foot in height. The Doftor made no allowance for the decreafe of denfity in the air, becaufe he did not propofe this ma¬ chine for meafuring mountains (though, with a proper allowance for the decreafing denfity of the air, it will do very well); but for heights that want to be known 7 ] LEV in gardens, plantations, and the conveyance of water, where an experiment that anfwers two or three feet in a diftance of 20 miles, will render this a very ufeful inftrument. Artillery Foot-Lev el is in form of a fquare, having its two legs or branches of an equal length ; at a junc¬ ture whereof is a little hole, whence hangs a thread and plummet playing on a perpendicular line in the middle of a quadrant. It is divided into twice 45 degrees from the middle. Fig. 7. This inftrument may be ufed on other occafions, by placing the ends of its two branches on a plane ; for when the thread plays .perpendicularly over th ] LEV againft it precifely while the telefcope is turned round Levelling;, on its Ys, it proves, as before mentioned, that the axis —v——^ of the telefcope coincides with the interfeCtion of the wires, and that the inftrument will give the true level direftion. The operation of levelling being of a very accurate and important nature, and the beft inftrument when out of its adjuftment being of little ufe, it is quite ne¬ ceffary that every perfon ufing fuch an inftrument Ihould have it readily in his power to correCt it; and the one above defcribed appears to be the beft adapted for that purpofe of any hitherto contrived. LEVELLING may be defined, the art whicb in- ftruCls us in finding how much higher or lower any given point on the furface of the earth is than another; or, in other words, the difference in their diftance from the centre of the earth. The praClice of levelling therefore confifts, 1. In finding and marking two or more points that fhall be in the circumference of a circle whole centre is that of the earth. 2. In comparing the points thus found with other points, to afeertain the difference in their diftances from the earth’s centre. With regard to the theory of levelling, we muft ob- ferve, that a plumb-line, hanging freely in the air, points direCliy towards the centre of the earth; and a line drawn at right angles, crofting the direClion of the plumb-line, and touching the earth’s furface, is a true level only in that particular fpot; but if this line which croffes the plumb be continued for any confi- derable length, it will rife above the earth’s furface, and the apparent level will be above the true one, be- caufe the earth is globular; and this rifing will be as the fquare of the diftance to which the faid right line is produced; that is to fay, however much it is railed above the earth’s furface at one mile’s diftance, it will rife four times as much at the diftance of two miles, nine times at the diftance of three, &c. This is owing to the globular figure of the earth ; and this rifing it the difference betwixt the true and apparent levels; the real curve of the earth being the true level, and the tangent to it the apparent level. Hence it ap¬ pears, that the lefs diftance we take betwixt any two ftations, the truer will be our operations in levelling; and fo foon does the difference betwixt the true and apparent levels become perceptible, that it is neceffary to make an allowance for it if the diftance betwixt the two ftations exceeds two chains in length. The following is an infallible rule for determining the al¬ lowance to be made: “ Multiply the number of Gunter’s decimal ftatute Leach's Tts chains that are contained in length between any twoland navi‘ ftations where the levels are to be taken by itfelf, and^*®"* the produft arifing therefrom again by 124; which is a common multiplier for all manner of diftances for this purpofe on account of the earth’s curvature: then divide the fecond product arifing therefrom by 100,000; or, which is alfo the fame, with the dalh of the pe» cut off five figures on the right hand fide of the pro- duft, and what remains on the left fide is inches, and the five figures cut off decimal parts of an inch.” B The LEV L 10 ! LEV n*,i The following is A Talk of Curvature of the Enrth and ihows the quantity below the apparent level at the end of every number of chains to 100. 32 o-36 0-4° 270.91: 28 0.98 291.05: 30 I.I 2' 3 1 i1 • 1 9; 32,I,27j 33 i-35 3 4; 1-44 35 Il53 36 1.62 T 240,72,;37 i'. 25 0.78 38 1.80 :26to.84''!39'i.9: 40 2.00 45! 2.28 5°i 3* 55 3-78 6o( 4.50 65; 5-3i 70! 6. 75; 7-03 8©: 8.00 85; 9.03 90 i< 95 11.28 100 12.50 Levelling is either fimple or compound. The for¬ mer is when the level points are determined from one ftation, whether the level be fixed at one of the points or between them. Compound levelling is nothing more than a repetition of many fimple operations. An example of fimple levelling is given Plate CCLXXI. fig. 1. where A B are the ftation points of the level; C D the two points afcertained. Let the height Feet. Inches. From A to C be - 600 From B to D be - 900 The difference - 300 {hows that B is three fe t lower than A. If the ftation-points of the level are above the line ef fight, as in fig. 2. and the diftance from A to C be fix feet, and from B to D nine feet, the difference will Hill be three feet which B is higher than A. As an example of compound levelling, ftippofe it were required to know the difference of height be¬ tween the point A on the river Zome, and N on the river Belann, fig. 3. (As our author could find no fatif- faftory examples in any Englifh author, he copied this and the following ones from M. le Febure). In this operation ftakes ftiould be driven down at A and ,N, exactly level with the furface of the water'; and thefe ftakes ftiould be fo fixed, that they may not be changed until the whole operation be finifhed: a plan of the ground between the two rivers fhould then be made, by which it will be difcovered, that the fliort- eft way between the rivers is by the dotted line AC, CH, HN ; from whence alfo the number of ftations jneceffary to be taken will be . determined. The ope¬ rator will alfo be enabled to diftribute them properly according to the nature and fituation of the ground. In the figure . 12. ftations are marked. Stakes ought then to be driven in at the limits of1 each ftation, as A, B,C,D, &c. They ought to be about two or three inches above the ground, and driven 18 inches into it. Stakes (hould alfo be driven in at each ftation of the inftrument, as I, 2, 3, 4, &c. The operation may be begun in the following man- I.eveHm*-, ner. Let the firft ftation be at I, equally diftant from —"Y— the two points A and B, which themfelves are diftant 16(1 yards. Write down then in one column the firft limit A ; in another, the number of feet, inches, and tenths ; with the points of fight indicated on the ftation- ftaff at A, viz. 7. 6. o. In the third column, the fe- cond limit B ; in the fourth, the height indicated at the ftation-ftaff B, viz. 6. O. o. Laftly, in the fifth co lumn, the diftance from one ftation-ftaff to the other ; which in this cafe is 166 yards. Remove now the le¬ vel to the point marked 2, which is in the middle be¬ tween B and C, the two places where the ftation- ftaves are to be held ; obferving that B, which was the fecond limit in the former operation, is tire ftrft in this. Then write down the obferved heights as before; its the firft column B ; in the fecond 4. 6. o; in the third C; in the fourth 5. 6. 2 ; in the fifth 560, the di¬ ftance between B and C. It being impofiible, on account of the inequality of the ground at .the third ftation, to place the inftrument in the middle between the two ftation-ftaves, find the moft convenient point as at 3 ; then meafure exaftly how far this is from each ftation-ftaff, and you will find that from 3 to C is 160 yards; from 3 to D, 8a yards; and the remainder of the operation will be as in the preceding ftation. In the fourth operation, wemuft endeavour to com- penfate for any error which might have happened ia the laft. Mark out, therefore, 80 yards from the fta¬ tion-ftaff D to the point 4; and 160 yards from 4 to E ; and this muft be carefully attended to, as by fuck compenfatlons the work may be much facilitated. Pro¬ ceed in the fame manner with the eight remaining fta* tions, obferving to enter every thing in its proper co¬ lumn ; and when the whole is finifhed, add the fums of each column together, and then fubtraft the leffer from the greater ; the difference, which in the prefent cafe is 5. 4. 8. ftiows the ground at N to be thus much low¬ er than the ground at A. To obtain a feftion of this level, draw the dotted line 0 0, fig. 4. either above or below the plan ; which may be taken for the level or horizontal line. Let fall then perpendiculars upon this line from all the ftation- points and places where the ftation-ftaves were fixed. Beginning now at A, fet off 7 feet 6 inches upon the line fjom A to a : for the height of the level-point de¬ termined on the ftaff at this place, draw a line through a parallel to the dotted line 0 0, which will cut the third perpendicular at l, the fecond ftation-ftaff. Setoff from this point downwards fix feet to B, which fhows tire fe¬ cond limit of the firft operation ; and that the ground at B is one foot fix inches higher than at A : place your inftrument between thefe two lines at the height of the level line, and trace the ground according to its different heights. Now fet off, on the fecond ftation- ftaff B, four feet fix inches to C, the height deter¬ mined by the level at the fecond ftation ; and from C draw a line parallel to 0 o, which will cut the fifth per¬ pendicular at ef, the third ftation-ftaff. From this point fet off 5 feet 6 inches T~- downwards to C, which will be our feeond limit with refpeft to the preceding one and the third with refpeft to the firft. Then draw your inftrument in the middle between B and C, and delineate the ground with its inequalities. Pro¬ ceed LEV t i Levelling:, cecd in the lame manner from fiction to ftation, till t*—you arrive at the laft N, and you will have the profile of the ground over which the level was taken. This method anfwers very well where only a gene¬ ral profile of the different ftations is required ; but where it is neceffary to have an exaft detail of the ground between the limits, we mull then go to work more particularly. Suppofe,' therefore, the level to have been taken from A to N by another route, but on more uniform ground, in order to form a canal marked O, P, Q. R, S, T, U, X, Y. Draw at plea- fure a line Z, Y, fig. 5. to reprefent the level, and re- f gulate the reft; then let fall on this line perpendicu- ^ lars to reprefent the ftaves at the limits of each ftation, taking care that they be fixed ^accurately at their re- fpective diftances from each other. The difference be¬ tween the extreme limits, in this cafe, ought to be the fame as in the former, viz. 5 feet 4 inches Set off this meafure upon the perpendicular 0 the firft limit; and from 0, prolonging the perpendicular, mark off at a the height determined at the firft ftation-ftaff; then do the fame with the fecond and third, and fo on with the following, till this part of the work is finifhed ; there remains then only to delineate in detail the ground between the ftation-ftaves, the diftances in this example being affumed larger on account of the detail. To obtain the fe&ion of the ground between O and P, place your inftrument at one of the limits, as P, fixing it fo that the crofs hairs may anfwer to the point C ; then look towards the firft limit o, raifing or de¬ prefling the vane till it coincides with the interfe&ion of the crofs hairs ; and the line of fight from one point to the other will mark the level or horizontal line. To fet off the height of the brink of the river above the firft limit, drive a flake down clofe to the ground at a; and place your ftation-flaff upon it, obfervingwhere the hairs interfedl the vxfie, which will be at 4 feet 1 o inches; then, laying off upon the line oz the diftance from the firft to the laft flake, let fall from thence a perpendicular, and fet off thereon 4. 10. o to u, which gives the height at the firft flake ; or, which is the fame, the height from the edge of the river above the furface of the water, as is evident from the feftion. Dr*-c a fecond flake at 6, m a line between the limits; place the flation-ftaff upon this flake, and obferve the height 4. 6. interfered by the crofs hairs, the inftru¬ ment flill remaining in the fame fituation. Set off on the level-line the diftance from the firft flake a to the fecond b ; and then let fall a perpendicular, and mark upon it q.'fi to b, which gives the height of the ground at this place. The fmall hollow c is marked out by driving down a third flake even with the ground, in the middle of it at c; but the exaft diftance of the -fecond flake b from the third r, muft be marked upon the level line : then let fall a perpendicular from c, and fet off upon it 6. 8. o, pointed out by the crofs hairs on the ftaff, which determines the depth of the hollow, as appears from the figure. As the d if lances between the flakes are now very fhort, they can eafily be marked by the operator, who can fettle any little inequalities by a comparifon with thofe already afeertained. Proceed thus with the other ftations till you arrive at the laft, and you will always obtain an accurate feftion of yoar 1 ] LEV work ; by which it is eafy to form a juft eftimation of Levell the land to be dug away, in order to form the canal, ^ by adding the depth to be given to it. Fig. 6. gives an example of compound levelling, where the fituation is fo fteep and mountainous, that the Haves cannot be placed at equal diflances from the in¬ ftrument, or where it is even impoflible to make a re¬ ciprocal levelling from one ftation to the other. Thus fuppofe the point K to be the bottom of a bafon where it is required to make a fountain, the refervoir being at A ; fo that, in order to know the height to which the jet d’eau will rife, it is neceffary to know how high the point A is above K. In great heights fuch as this, it will be neceffary ta proceed by fmall defeents, as from A to D. The inftru¬ ment muft be adjufted, with all poffible care; and it will even be proper, in fome part of the work, to ufe a fmaller inftrument. The following is a table of the different operations ufed in making this level, it having been taken from M. le Febure’s practice. A 21 C 4 in.iyarcl! 9| 90 3 4° 3; 350 9 25° ° 375 o 300 K 47 3! 1000 06 9.2405 In this cafe only two levellings are made between A and D, though more would have been necefiary; but they are omitted to avoid confufion. In the fourth ftation the height found was 16 feet 8 inches; but on account of the great length, it was requifite to reduce the apparent level to the true one, which is al¬ ways neceffary where the length isconfiderable. At the laft. limit we get the height from N to 0 y then from 0 ta I; from I to K, fig. 7. &c.; all which added together, and then corrected for the curvature, gives 47 feet 3 inches. Now, by adding each column together, and fubtracling one from the other, we have 51 feet 9 inches for the height which the point A is above th® bottom of the bafon, and which will caufe the jet d’eau to rife about 45 feet. The general faction of this operation is fhown at fig. 7, 8. but an exa f°r the more por- CCLXX. table carriage. They are divided into x 000 equal parts, %• and numbered at every tenth divifion by 10, 20, 30, &c. to 1000; and on one fide the feet and inches are alfo fometimes marked. A vane A Aides np and down upon each fet of thefe ftaves, which by brafs fprings will Hand at any part. Thefe vanes are about 10 inches long and 4 inches broad ; the breadth is firft divided into three equal parts, the two extremes painted white, the middle fpace divided again into three equal parts, which are lefs; the middle one of them is alfo painted white, and the two other parts black ; and thus they are fuited to all the common diftances. Thefe vanes have each a brafs wire acrofs a fmall fquare hole in the centre, which ferve to point out the height correctly, by co¬ inciding with the horizontal wire of the telefcope of the level. LEVEN, a river of Lenox or Dunbartonfhire in Scotland. See Lenox. LEVER, in mechanics, is a bar of iron or wood, one part of which being fupported by a prop, all other parts turn upon that prop as their centre of motion. This inftrument is of two kinds. Firft, the common fort, where the weight we defire to raife, refts at one ond of it, our ftrength is applied at the other end, and the prop is between both. When we ftir up the fire with a poker, we make ufe of this lever; the pocker is the lever, it refts upon one of the bars of the grate as a prop, the incumbent fire is the weight to be over¬ come, and the other end held in the hand is the ftrength or power. In this as in all the reft, we have only to Leveret, increafe the diftance between the ftrength and prop Levigation. to give the man that works the inftrument greater v ' " power. Tfie lever of the fecond kind, has the prop at one end, the ftrength is applied to the other, and the weight to be railed refts between them. Thus in raifing the water-plug in the ftreets, the workman puts his iron lever through the hole of the plug till he reaches the ground on the other fide, and, making that his prop, lifts the plug with his ftrength at the other end of the lever. In this lever alfo, the greater the diftance of the prop from the ftrength, the greater is the work¬ man’s power. Thefe inftruments, as we fee, affift the ftrength; but fometimes a workman is obliged to act at a difadvan tage, in raifing , either a piece of timber or a ladder upon one end. We cannot, with grammatical proprie¬ ty, call this a /ever, fince fuch a piece of timber in fait in no way contributes to raife the weight. In this cafe, the man, who is the ftrength or power, is in the middle, the part of the beam already raifed is the weight, the part yet at the ground is the prop on which the beam turns or refts. Here the man’s ftrength will be dimi- nilhed, in proportion to the weight, it fuftains. The weight will be greater the farther it is from the prop, therefore the man will bear the greater weight the nearer he is to the prop. See Mechanics. LEVERET, among fportfmen, denotes a hare in the firft year of her age. LEVIGATION, in pharmacy and chemiftry, the reducing hard and ponderous bodies to an impalpable powder, by grinding them on a porphyry, or in a mill. See Chemistry, n° 599. A new method of reducing powders to a great de¬ gree of finenefs has lately been invented by means of a fanner. This has the advantage over the other me¬ thods, in being much more expeditious, and attended with lefs trouble and expence; the degree of finenefs to which they are reducible being thus alfo in a man¬ ner unlimited. The conftruftion of the fanner em¬ ployed for this purpofe is different from that employ¬ ed for winnowing corn ; the blaft not being collected into a final! compafs as in the latter, but diffufed over a confiderable fpace, left a violent blaft ftiould hurry off both coarfe and fine together. For this purpofe, the leaves of the fanner are made as long in the direc¬ tion parallel to the axis as can be done conveniently. In the other direction projedting from it, they differ not from the ordinary length, nor do they in the ge¬ neral fituation with refpeft to each other. Before the leaves is a wooden partition reaching half way up, to prevent the grofs powder from falling in among the leaves, which reaches about half way from bottom to top ; and about two feet or lefs from this, according to the fize of the fanner, is anothe- partition in a Ho¬ ping diredlion, reaching from the bottom of the box to near the top. The whole is inclofed in a large box fix or feven feet long, having in the end fartheft off fi-om the leaves a flit equal to the fpace left betwixt the top of the box and the floping partition already mentioned. On the top of this is another box, ex¬ tending from the farthermoft end of the former to the hopper which holds the coarfe powder, with a hole in- the end neareft to the fanner; and upon this another 1 box,. LEVELLING. I’laic (' C'LXXI. Lilli1 '6fiwu//a/yfca^p£FryWv/- ■ ;/■ L £ v [ Levlgatior.boX) &c. as long as it is found that the air carries off W-~V"'-W with it any quantity of powder. This will be beft under- ftood from the following defcription of the figure. ’’ Plate A reprefents the fanner itfelf, having a hole in the CCLXXI. cafe for the admiffion of the air, as ufual. B, The firft wooden divifion, to prevent the return of the powder upon the leaves of the fanner. C, The fecond divifion, reaching not quite to the top of the box. Its ufe is to diredt the current of air produced by the fanner obliquely upwards: thus it ftrikes the powder, falling down from the hopper, in the fame oblique direction, and carries off the fine parts, firft through the aperture a; after which fome of them are lodged in the box D ; the fall finer particles are carried through* the aperture b into the fecond box E, where part of them are lodged: they next pafs through the aperture c into the box F, and through d into the box G; the powder becoming' ftill finer and in fmaller quantity as it afeends into the higher boxes, until at lalt the wafte becomes fo trifling, that the air may be allowed to pafs off entirely through the aper¬ ture b in the fourth or fome other box, as is found moil convenient. Thus it is evident we may obtain powders of every degree of finenefs, and fuch as neither fieve nor levi¬ gating mill could equal. Walhing over with water may indeed produce powders equally fine; but the length of time requifite for fettling, and the trouble of drying them again, muft decidedly give the preference to the fanner; efpecially when we confider, that there is not any occafion for taking out the powder in fmall quantities, as is the cafe in lifting, walhing, or leviga¬ ting ; but it may be allowed to remain till as much is collefted in the boxes as we defire. The principal difficulty in the conftru&ion of this fanner is the letting down the powder in a proper man¬ ner, fo that the llream of air, which ought not to be very ftrong, may freely pafs through it. For this purpofe, the’hopper muft not let it fall in a large body,' as in winnowing of com, but in a long and thin Iheet, which can eafily be pervaded. The beft method feems to be to make the hopper extend the whole breadth of the box, having a narrow flit at bottom. Clofe on the under part of this flit, a fluted roller ought to turn, which Ihutting up the aperture exaftly, cannot allow any powder to pafs but what does fo in confequence of the hollow flutes of the roller ; for a fmooth round one would allow nothing to pafs. It would be pro¬ per alfo that the flutes be but fmall, that a thin and nearly continued ftream of powder be always defeend- ing; for this will contribute greatly to the finenefs of the produce: and on _ this account the powder ought, before it is put into the hopper, to be pafled through a lawn fieve. In the figure, e reprefents the hopper, and f the fluted roller. Motion is eafily communica¬ ted to the latter by means of a wheel faftened on the axis of the fanner. The coarfe powder is kept back by the partition C, and defeends through a flit i in the bottom of the low- ermoft box, into a receptacle Z’, which may be removed occafionally. All the joints and feams of the machine muft be very clofe, for the fine powder is very pene¬ trating ; for this reafon alfo the hopper ought to have ft lid*, 13 1 LEU LEWDNESS. See Fornication.—Lewdnefsis Levite punilhable by our law by fine, imprifonment, &c. And IJ. Mich. 15 Car. II. a perfon was indicted for open lewd- e'‘ en‘, nefs, in fliowing his naked body in a balcony, and other mifdemeanors; and was fined 2000 marks, im- prifoned for a week, and bound to his good behaviour for three years. 1 Sid. 168'. In times paft, when any man granted a leafe of his houfe, it was ufual to infert an exprefs covenant, that the tenant fhould not en¬ tertain any lewd women, &c. LEVlTE, in a general fenfe, means all the defeen- dants of Levi, among whom were the Jewifli priefts themfelves, who, being defeended from Aaron, were likewife of the race of Levi. In a more particular fenfe, Levite is ufed for an order of officers in that church, who were employed in performing the manual fervice of the temple. They were obedient to the prieits in their miniilration, and brought them woodr water, and other neceflaries for the facrifice.—They fung and played upon inftruments in the temple and in other places. They applied themfelves to the ftudy of the law, and were the ordinary judges of the coun¬ try, but always fubordinate to the priefts. Their fub- fiftence was the tythes of corn, fruit, and cattle, throughout Ifrael: but the priefts were intitled to a tenth of their tythes, by way of firft-fruits to the Lord. Eight and forty cities were affigned for the rcfidence ofithe Levites, of which the priefts claimed thirteen, fix whereof were chofen for cities of refuge. They were confecrated, before they entered upon their mi- niftry, by fhaving their fldh, waftiing their cloaths, and fprinkling with the water of expiation. Impolition of hands was ufed in confecration, and two bullocks were offered at the door of the tabernacle. They waited weekly, and by turns, in the temple, beginning their attendance on one fabbath and ending the next: Du¬ ring this time they were maintained out of the offer¬ ings, &c. In the time ©f Solomon, the number of Levites, from the age of 20 and capable of ferving, was 38,000. LEVITICUS, a canonical book of the Old Tefta- ment, fo called from its containing the laws and regu¬ lations relating to the priefts, Levites, and facrifices. LEVITY, in phyfioJogy, the privation or want of weight in any body when compared with another that is heavier than it; in which fenfe it Hands oppofed to gravity. LEUK, a town of Switzerland, almoft in the middle' of the Valais; remarkable for its natural ftrength, for the affembly of the ftates that often meet there, and for its baths, whofe water is fo hot that they will boit eggs. LEUNCLAVIUS (Joannes), a learned German, was defeended from a noble family, and born at Amel- brun in Weftphalia, 1533. He travelled through al¬ moft all the countries in Europe. While he was in Turkey, he collected very good materials for an “ Hi- ftory of the Ottoman Empire;” which he publiflied, and alfo feveral other pieces concerning it, in La¬ tin. He gave Latin tranflations-'alfo of Xenophon, Zofimus, &c. To a knowledge of the learned lan¬ guages he added that of the civil law. He died at: Vienna in 1593, aged 60. LEUSDEN (John), a celebrated philologer, born is LEW [ 14 1 L E W Letnkirk in 1,624* tic ftudied the learned languages and ma¬ il thematics at Utrecht; and then went to Amiterdam, r Lcwes' , to converfe with the rabbis, and perfect himfelf in the Hebrew tongue. After which he was profefibr of Hebrew at Utrecht, where he acquired a great repu¬ tation, and died in 1699. He wrote many valuable works ; the principal of which are, 1 .■ Onamaflicum Sa- . crum, 8vo. 2. Clavis Hebfaica £3° Philologica Veter is ‘Tejlamenti, 410. 3. Novi Tejlamenti Clavh Graca, cum Annotationibus Phiiologicis, 8vo, 4. Compendium Bibli- eum Veteris ‘Tcjlamcnii, 8vo. 5. Compendium Gr/ecum Novi 'Tejlamenti; the beft: edition of which is that of London, in 1668, xzmo. 6. Philo logos Hcbrteus^ qto. . 7. Philologus Hebrao mixtus, 410. 8. Philologus Helrm- Gracus, qto. 9. Notes on Jonas, Joel, Hofea, See. He alio gave correft editions of feveral learned works. LEUTKIRK,_ a free and imperial town of Ger¬ many, in Suabia, and in Algow, feated on a rivulet that falls into the Illar, in E. Long 10, 10. N. Lat. 47- 53- LEUTMERITZ, a town of Bohemia, capital of a circle of the fame name, with a bifhop’s fee, feated on the river Elbe, in E. Long. 14. 25. N. Lat. 50. 34. LEWARDEN, a handfome, rich, and ftrong town of the United Provinces, capital of Oftergow, Wefter- gow, Sevenwolden, and Weil Frieiland. It was the ufual place of refidence of the Stadtholder; and in buildings, as well public as private, is veiy magnifi¬ cent. It has feveral canals running through the ftreets, which are of great fervice to their trade, efpecially as they are continued to the fea and to the moil confider- able towns of the, province. E. Long. 5. 42. N. Lat. 53- I2* LEEUWENHOEK (Anthony de), a celebrated Dutch phylician and naturalift, was born at Delft in 1632, of an ancient family of that city ; and acquired a very great reputation throughout all Europe, by his experiments and difeoveries. He particularly excel¬ led in making glaifes for microfcopes and fpedlacles, and died in 1723. His letters to, the royal fociety of London, of which he was a member, were printed at Leyden, in 1722, in qto. LEVY, in law, fignifies to gather or colleft; as to levy money, and to levy a fine of lands in the palling a fine. LEWENTZ, a town of Upper Hungary, in the county of Gran, and on the river of the fame name, where the Turks were defeated in 1644. E. Long. 18. 19. N. Lat. 48. 15. LEWES, a large well-built town of Sulfex in Eng¬ land, feated on an eminence on the banks of the river Oufe, 50 miles from London. It is famous for a bloody battle near it, wherein King Hemy III. was defeated and taken prilbner by the barons ; and is fo ancient, that we read the Saxon king Athelftan ap- qpointed two mint-houfes here, and that in the reign of Edward the Gonfeffcr it had 127 burgeffes. It is a borough by prefeription, by the flyle of conftables and inhabitants. The conllables are chqfen yearly. It has handfome ftreets and two fuburbs, with fix pa- rilh churches. It carries on a good trade ; and the river Oufe runs through it, which brings goods in boats and barges from a port 8 Hfiles off. On this ri¬ ver are feveral iron-works, where cannon are call for Incrchant-lhips, befides other ufeful works. A charity- fchool was opened here in 1711, where 20 boys are taught, clothed, and maintained, at the expence of a private gentleman, by whom they were alfo furniibed with books; and 8 boys more are taught here at the expence of other gentlemen. Here are horfe-races almoft every fummer for the king’s plate of L. too. The roads here are deep and dirty; but then it is the richeft foil in this part of England. The market here is on Saturday; and the fairs May 6. Whitfun-Tuef- day, and Odtober 2. The timber of this part of the county is prodigioufiy large. The trees are fome- times drawn to Maidftone and other places on the Medway, on a fort of carriage called a wg, drawn by 22 oxen a little way, and then left there for other tugs to carry it on ; fo that a tree is fometimes two or three years drawing to Chatham; becaufe, after the rain is once fet in, it ftirs no more that year, and fometimes a whole iuinmer is not dry enough to make the roads palfable. It is cheap living here ; and the town not being under the direction of a corporation, but governed by gentlemen, it is reckoned an excellent retreat for half-pay officers, who cannot fo well confine themfelves to the rules of a corporation. It fends two members to parliament. LEWIS, one of the largeft of the Hebrides or we- ftern iflands of Scotland, extending about 60 miles in length from north to fouth, and from 13 to 14 in breadth, confifting of a great number of ifles and rocks* and parted by the fea into two divifions, called Lewis and Harries* tire former lying to the weftward of the other. Lewis belongs to the (hire of Rofs; is divided by feveral channels, diftinguiftied by feveral names, and portioned out among different proprietors ; Rut the Lewis, ftriftly fo called, ftretches about 36 miles in length, from the north point of Bowling-head to the fouthern extremity of Huffmefs in Harries. The air is temperately cold, moift, and healthy ; great part of the lew ground is flooded with lakes; the reft is a- rable in many places, and has been counted fruitful in oats, barley, rye, flax, and hemp. The foil in thefe parts is a light fand, which the inhabitants manure with foot and fca-ware; but great part of the ifiand is covered with heath. The labouring people dig tire land with fpades, and break the clods with fmall har¬ rows, the foremoft teeth of which are made of wood, and the remainder of rough heath, w hich fmooths w-hat the others have broken ; and this harrow is drawn by one man, having a ftrong trace of horfe-hair acrofs his breaft. Of their corn they not only make malt for ale, but likewife a ftrong fpirit called tnjlareg, which is the whilky, or ufquebaugh, three times diftilled. Lewis abounds with convenient bays and harbours, in which are caught, in great plenty, cod, ling, and herring: here are likewife whales of different fizes, which the natives drive into the bays, and kill with harpoons. Thefe bays afford great plenty of fheU-fifh, fuch as clams, pyfters, cockles, mufcles, lympits, welks, and fuch a prodigious quantity of fpout-fifh is fome¬ times caft Up from the fand off Loch-tua, that they in- fe£l the air, and render it unhealthy to the neighbour¬ ing inhabitants, who are not able to confume them, either by eating, or ufing them as manure for the ground. Some of thefe lochs and bays likewife pro¬ duce fmall coral and coralline. The frefh-water lakes are well ftored with trout and eels, and the rivers LEW [ 15 } LEW Lewis, yield plenty of falmon. Along the eoaft are found a ""“"v— great number of caves, which ferve as flicker for the feals and otters, which are alfo eaten as dainties by the inhabitants ; and vaft numbers of fea-fowl build upon the rocks and promontories. The land-animals reared in this ifland, are cows, horfes, flieep, goats, hogs, and deer; all thefe are of a diminutive fize. The beef, mutton, and pork, are Juicy and delicious; the horfes are adtive and hardy : the deer, which are of the red kind, confine themfelves to the chace of Ofervaul, about 15 miles in compafs, which affords tolerable pallurage; but in the winter, when the ground is covered with froft and fnow, thefe animals are forced to feed on fea-ware, and endure all the rigour of the feafon, without any (belter from wood or copfe, • for there is not a tree to be feen ; ne- verthelefs, the roots of very large trees, which have been cut by the ax, are found in different places. There is like wife a fmall grove of birch and hazle on the fouth-weft fide of Loch-Stornaway. The inhabitants of Lewis are well-proportioned, tall, fair, fanguine, ftrong, and healthy. They are in gene¬ ral fober, eircumfpeft, and hofpitable ; dexterous in fnooting, fwimming, and leaping ; bold and fkilful mari¬ ners ; and fo temperate, that they will tug at the oar all day, without any other provifion than bread and water, with a fnufh of tobacco. Along this coafl we fee feveral natural mounts or forts, called Dun ; fuch as Dun-rowly, Dun-coradel, and Dun-eiften. There are alfo the remain^ of feme old caftles, and other monuments of antiquity. At Stornaway village we fee the ruins of a fortrefs deflroy- ed by the Englifh garrifon fent thither by Oliver Crom¬ well. To the northward of Brago there is a round tower built of large flones, three ftories high, taper¬ ing towards the top, with a double wall, and a circu¬ lar ftaircafe between, by which one may go -quite found the building., On the heaths and fummits of hills there are feveral cairns or heaps of ftones, which ferved either for graves or beacons. In the parifh of Barvas we fee a fingle ftone called the thrujhcl. Hand¬ ing upright, above 20 feet high, and almoft as much in breadth. Three ftones, about 12 feet high each, are feen Handing on the north fide of Loch-carlvay; and many others Handing fingle at great diftances, and in remote parts of the ifland. But the moft re¬ markable monument of this kind appears by the village -©f Claffernifs. Here we find 39 pyramidal ftones Hand¬ ing upright, about fix or feven feet high from the fur- face, each about two feet in breadth. They are pla¬ ced in form of an avenue, eight feet wide; the di- ftance between every ftone amounting to fix feet, and a fingle piece ftands at the entrance. This avenue leads to a circle of 12 ftones of the fame dimenfions, with one in the centre 13 feet in length, and fhaped like a rudder: on the eaft, fouth, and weft fides of ■this circle, are four ftones, fuch as thofe that compofe this round and avenue, forming three lines, or as it were rays from the body of the circle. This is fup- pofed to have been a Druid temple; and tradition re¬ ports, that the ehief Druid flood by the large ftone in the centre, and harangued the audience. At the di- ftance of a quarter of a mile there is another circle of the fame nature; but without the range and avenue In all probability, thefe, as well as the monHitients we Lewi*, have deferibed in our account of the Orkneys, and Stone-henge on Salifbury-plain, were places of wor- fhip erefted by the Druids in time of Pagan fuperfti- tion. The chief town in Lewis is called Stor¬ naway. There is a confiderable number of inferior adjacent ifles and rocks, fome of which hardly deferve to be * mentioned; fuch as the fmall ifland Garve at the' mouth of Loch Carlvay, Berinfay, Fladda, Bemera Minor, and Bernera Major, Kialify, Cavay, Carvay, Grenim, Pabay, Shirem, Vexay, Wuya the Larger and Leffer, and the Flannan iflands, which the feamen denominate the northern hunters. Thefe are vifited every fummer by the inhabitants of the Lewis, who go thither in queft of fowls, eggs, down, quills, and feathers, as well as to (hear or kill the flieep that are kept here for pafture. As thefe iflands are very deep and rocky, the vifitors, after having landed and climbed up the rock by a ladder, uncover their heads, * and, making a turn fun-ways, thank God for having efcaped the danger they have undergone. In the lar- geft ifland are the ruins of a chapel dedicated to St Flannan, from whom the ifles derive their name. Thi¬ ther the fowlers repairing, ftrip themfelves of their up¬ per garments, which being laid upon a ftone, they ad¬ vance towards the altar, and repeat three prayers 3 aft exercife which is performed every morning and even¬ ing. They obferve many other fuperftitious cuftoms during their refidence on thefe rocks; and when they have landed their boat with their purchafe, return to the larger iflands. Among the iflands belonging to the Lewis, we may likewife take notice of the fmall ifle of Pigmies, fo called, becaufe bones refembling thofe of human creatures, but of very fmall dimenfions, have been dug out of the ground. The ifland of Lewis is divided into the twopariflies of Barvas and Eye,/ and in each of thefe one minifter is fettled; but there is a great number of churches and chapels dedicated to different faints, in the diffe¬ rent ifles which compofe this clufter. All thefe were fan&uaries before the reformation, but now they are divefted of that privilege. The people of thefe iflands are Prefbyterians, with a few Proteftants of the Englifh communion, and a Hill fmaller number of Ro¬ man Catholics. The Proteftants obferve the feftivals of Chriftmas, Good Friday, Eafter, and Michaelmas ; on the laft of which the individuals of both fexes per¬ form an anniverfary cavalcade. LEWIS, or Loins, the name of feveral kings of France. See France. Lewis VII. anno 1137, was the firft who had the courage to oppofe the encroachments of the popes on the regal authority : Pope Innocent II. excommuni¬ cated him for appointing an archbiftiop of Bourges ; but Lewis defended his prerogatives, and put the pricks to death who had been the authors of the quar¬ rel. In x 147, he put himfelf at the head of an army of 80,000 men, and marched againft the Saracens, in the fecond crufade, but was defeated ; and returning into France by fea, was taken by the Greeks, but refeued by Roger king of Sicily. His queen Eleo¬ nora accompanied him in this' expedition; and being fufpedted of infidelity with Saladin, a young Turk, Lswigv 5 Lewis. LEW r 16 ] LEW Lewis divorced her, and (he was married fix weeks after to Henry duke of Normandy, (Henry II. king of England). Lewis died in 1180, aged 60. Lewis IX. anno 1226 (canonized), was one of the greateft monarchs of France; equally memorable for his valour and his virtues, but unfortunately mifled by the fuperftitioh of the times :' he facrificed his own repofe, and the welfare of his kingdom, to the folly of •crufading. In 1248, leaving France to the care of his mother, he embarked for Egypt, attended by his queen, his three brothers, and the flower of the French -nobility. At firft his vidteries were rapid: he took Damietta in 1249 ; but the following year he was defeated and taken prifoner by the Turks, with all the nobility in his train, and the greateft part of his army. The fultan fent to him in prifon, to de¬ mand an exorbitant fum for his ranfom; and his anfwer being truly noble, deferves to be fecord¬ ed : “ Tell the fultan, that a king of France is not to be ranfomed with money; I will give the fum re¬ quired for my people, and Damietta for myfelf.” Thefe terms were accepted, and a peace of ten years enfued. Upon his return to France, he diminifhed the taxes, revoked thofe which the cupidity of the financiers had introduced ; iffued feveral falutary edicts ; founded fe- veral churches and hofpitals ; and. effectually overturn¬ ed the ecclefiaftical jurifdiCtion of the court of Rome, by his pragmatic fanCtion in 1269, which eftablfthed the independency of the Galilean church. Thirteen years refidence in his capital indemnified his fubjects for his abfence ; but his pious zeal prevented the enjoy¬ ment of this happinefs : he embarked for the fixth cru- fade in 1270 ; and died the fame year, at the fiege of Tunis, aged 55. Lewis XI. anno 1461. His oppreffions obliged his fubjects to enter into a league againft him, ftyled “ I Ague de bltn publiq,” in which his brother the duke of Ben i and fome of the principal nobility were con- , cerned : they folicited fuccours from John duke of Cala¬ bria, who joined them with 500 Swifs (the firft intro¬ duction of Swifs foldiers into the French armies.) His reign was almoft one continued feene of civil war; and it is computed that 4000 of his fubjeCts were executed in public and privately, either for being in arms againft him, or fufpeCted by him. In his laft illnefs, .he drank the 'warm blood of children, in the vain hope of reftoring his decayed ftrength. He died in 1483, aged 60. The polls for letters were eftablilhed in his reign, owing to his eagernefs for news; the firft in- ftitution of this nature in Europe. Lewis XII. anno 1492, ftyled the Juft, and the Fa¬ ther of his people; memorable for his valour in the field, and his wifdom in the cabinet. A great general; but unfortunate towards the end of his reign, when he did not command his troops in perfon: his orders tranf- mitted from home were mifunderftood, or wilfully dif¬ obeyed ; and he had the mortification, before he died, to fee the total expulfion of the French from the pof- feffions he had acquired for them by his perfonal bra¬ very. At 53 years of age, he married the princefs Mary of England, filler of Henry VIII. and being of a delicate conftitution, fell a victim (according to the French hiftorians) to amorous dalliance; for he died in about two months after his nuptials, in 1515. Lewis XIII. anno 1610, increafed the military re- N° 181. putation of his country, and made confiderable addi- Lewis, tions to its domains. The beginning of his reign was —v—— occupied in civil wars with his mother and his Pro- teftant fubjeCts; in which he was excited to continue by his famous minifter cardinal Richelieu, who attend¬ ed him to the fiege of Rochelle, the bulwark of the Huguenot party. This place was reduced by famine to furrender, in 1628, after a fiege of more than a year. Upon this and other occafions, the king gave proofs of great perfonal bravery. His attachment to his ally the, duke de Nevers, who fucceeded to the duchy of Mantua, but was refufed the inveftiture by Charles VI. emperor of Germany, involved him in a war with that prince, the Spaniards, and the duke of Savoy ; in which Lewis was victorious; and obtained a treaty of peace, by which the duke of Mantua was guarantied in the poffeffion of his dominions. In 1635, a new war broke out between France and Spain, and the emperor took part with the latter: it lafted 13 years againft the emperor, and 25 againft Spain, with various fuccefs; and the different armies kept on foot, in the Low Countries, on the frontiers of France, and in Italy, in the firft years of this war, paved the way for the fignal fucceffes of Lewis XIV. the campaigns of thefe armies being a military fchool of difeipline and experience for the French officers, befides giving them a knowledge of the countries which became the feat of war in the next reign. Lewis XIII. died 1643, aged 41. Lewis XIV. le Grand (king at five years of .age), anno 1643. He was at .firft ftyled Dieu-donne, be- caufe the French coniidered him as the gift of heaven, granted to their prayers after the queen had been barren 22 years. This princefs (Anne of Auftria) was declared regent by Lewis XIII. and faw herfelf under a neceffity to continue the war againft Philip IV. king of Spain, her brother. The duke d’Enguin was made general of the French armies ; and fo fignal was the fuccefs of this renowned warrior (afterwards prince of Conde, and known by the ffyle of the Great Conde), that his victories brought on the advantageous treaties of Munfter in 1648, between France, the emperor Ferdinand III. and Chriftina queen of Sweden : the balls of the aggrandifement of France in this reign ; the principal events of which, and of the next,, are re¬ lated under the articles Britain, United PnorwcEs, &c. Lewis XFV. died in 1715, aged 77. Lewis XV. (hisgreat-grandfon) fucceeded in 1715. He was ftyled, in the courfe of his reign, l/ie ’well be¬ loved, which he loft fome years before he died; and was detefted and defpifed by his fubjedts for his ffiameful attachment to, a young girl, under the title of his miftreji, who, by the miniftry of her patron the duke d’Aiguillon, governed the kingdom, and invaded the ancient rights and privileges of the people. He died in 1774, in the 64th year of his age and 59th of his reign. LEXINGTON, a town of North America, and capital of Kentucky. It (lands on the head waters of Elkhotn river, is reckoned the capital of Kentucky. Here the courts are held, and bufinefs regularly conr dudted. In 1786, it contained about 109 houfes and feveral (lores, with a good affortment of dry goods. It muft have greatly increafed fince. LEX, Law. See Law.—-The Roman laws were of LEX t i, 'T.eit, of tKrce kinds: ift, Such as were"made by their kings. “-Y——" zd, The laws of the twelve tables brought by the De¬ cemviri from Athens, &c. And, 3d, Such as were propofed by the fuperior magiftrates in the times of the republic. The laws of this laft clafs were enafted in the following manner. No law could be propofed but by fome of the fol¬ lowing magiftrates, viz. the Prator, the Ccnfuls, the DiSaior, the Interrex> the Decemviri, the Military Tri¬ bunes, Triumviri, and Tribunes of" the people. If any of thefe propofed a law, it was firft committed to wri¬ ting, and privately examined as to its utility and pro¬ bable cfonfequences, by fome perfons well qualified for the talk ; fbmetimes it was referred to the whole fe- nate for their fentiments^ It was then hung up pub¬ licly for three market-days, that all the people might have time to examine it, and confider its tendency: This was called legis promulgatio, quq/i provulgatio. If the perfon who framed the bill did not fee caufe in the mean time to drop it, the people were convened in cowitia, and he addreffed them in an oration, being alfo feconded by his friends, fetting forth the expediency and probable utility of fuch a law: This was called rogatio legis, becaufe the addrefs was always prefaced with tliis petitionary form of words, Vclitis jubeatifne, £)uiritcs? “Will you, O Romans, confent and order this lav/ to pafs ?” This being done, thofe that difliked the motion delivered their fentiments in oppofition to it. An urn was then brought to certain priefts who attended i/pon the occafion, into which were call the names of the tribes, centuries, or curia, as the comitia happened to be tributa, centuriata, or curiata. The names were ftiaken together; and the firft drawn tribe or century was called prarogativa, becaufe their fuffra- ges were firft taken. The curia that was firft drawn was called principium for the fame reafon. The other 'tribes, centuries, &c. were called tribus jure vocata, cen- turia jure vocata. See. Matters being in this fituation, the veto or negative 'voice of the tribunes of the people might put an entire end to the proceedings, and difiblve the affembly. The tribune’s interference was called intercejfio. The conful alfo had it in his power to ftop further proceedings, by commanding any of the holidays called feria impe- rativa to be obferved. The comitia would of courfe be diflblved alfo by any of the perfons prefent being feized with the falling-ficknefs, or upon the appear¬ ance of any unlucky omen. But fuppofing the bufi- nefs to meet with no interruption of this fort, the people were each of them prefented with two tablets, on one of which was written in large chara&ers A. on the other U. R. Their difapprobation of the bill was •exprefled by throwing into an urn the tablet inferibed A. fignifying “ I forbid itantiquo, “ I prefer the old.” Their afient was fignified by throwing in the tablet marked U. R. i. e. uti rogas, “ be it as you de¬ fire.” According to the majority of thefe tablets the law pafied or not. If it pafied, it was written up¬ on record, and carried into the treafury; this was called legem ferre. Afterwards it was engraved upon plates of brafs, and hung up in the moft public and confpicuous places : this was termed legem Jigere, and a future repeal of this law was legem refigere. If a law palled in the comitia curiata, it was called Vol. X. Parti. ? ] LEY lex curiata; if in the comitia centuriata, it had the name LemrcM of lex centuriata ; but if it palled in the comitia tributa, ^ it was termed plebifcitum. The laws, too, generally bore ■ J th^ names of the propofers, as lex JElia, lex Fvfta, See. Romulus ufed to make laws by his own fingle au¬ thority, but fucceeding kings fought the approbation of the people. LEX-IARCHI, at Athens, fix officers affifted by 30 inferior’ones, whofe bufinefs it was to lay fines up¬ on fuch as came not to the public affemblies, and alfo to make ferutiny among fuch as were prefent. The lexiarchi kept a regifter of the age, manners, and abilities of all the citizens, who were always in- rolled at the age of 20. LEXICON, the fame with di&ionary. The word is chiefly ufed in fpeaking of Greek dictionaries : it is derived from the Greek 'word', diction ; of uih / Speak. LEYDEN, in Latin Lugdunum Balavorum, one of the largeft and fineft cities in Holland, abounds with canals, along which are rows of lofty trees that afford very pleafant walks. An arm or fmall branch of the Rhine runs through it. Over the canals are 145 bridges, moft of them of Hone or brick. The univer- fity here is the oldeft in the United Provinces : it has large privileges ; a library well furnifhed, and particu¬ larly rich in manuferipts ; a phyfic-garden well ftocked with all forts of plants, many of which have been brought from the Cape of Good Hope and the Eaft Indies ; an anatomy-hall, well provided with ikeletons ; and an obfervatory. The profeffors, who are generally 1 very eminent, read public le&ures four times a week, for which they take no money, but about three gui¬ neas are paid for a courfe of private lectures, which lafts a whole year. The ftudents have no diftindt ha- bit, but all wear fwords, though they generally go to the public and private ledtures in their night-gowns and flippers. The falaries of the profeffors are from xool. to 200I. a-year: they wear gowns only when they prefide at public difputations, read public lec¬ tures, or meet in the fenate ; and their ledtures are al¬ ways in Latin- The ftudents do not lodge in the univerfity, but where they pleafe in the town. The cloth manufadture here is much decayed, which for¬ merly flouriftied to fuch a degree, that 100,000 pieces, it is faid, have fometimes been made in a year. The city is famous for the long and fevere fiege it main¬ tained in 1573 again ft the Spaniards. We cannot help mentioning the reply of that illuftrious magi- ftrate, Adrian de Verf, when the citizens reprefented to him the havoc made by the famine during the fiege, and infifted upon his furrehdering: “ Friends (faid he), here is my body, divide it among you to fatisfy your hunger, but banifh all thoughts of furrendering to the cruel and perfidious Spaniard,” They took his advice, in regard to their not furrendering, and nevei would liften to any overtures ; but told the Spaniards, they would hold out as long as they had one arm to eat and another to fight. There are fome fine churches here, and many long, broad, handfome, ftreets ; but the Pa- pifts, as at Haerlem, are more numerous than the Proteftants. Leyden Phial, a phial coated on the infide and eut- fide with tinfoil, or other proper conducing fubftance, C and L H U [ 18 ] LIB I^yfera and furnifhed with a brafs wire and knob, for giving . J* , the ekftrical fhock. See Electricity-//^^. ■ Lucas'van Let urn. See Lucas. LEYSERA, in botany: A genus of the polyga- mia fuperflua order, belonging to the fyngenelia clafs of plants ; and in the natural method ranking under the 49th order, Compqfita. The receptacle is naked ; the pappus paleaceous; that of the difc plumy ; the calyx fcarious. LEYTE, one of the Philippine iflands in the Eaft Indies, fituated in E. Long. 118. o. N. Lat. 11. o. Its greateit length is about 40 leagues, and its circumfe¬ rence about 90 or 100. Its foil on the eaft fide is very fruitful; but there are very high mountains which cut it almoft through the middle, and occafion fo great an alteration in the air, that when it is winter on the north fide, it is fummer on the fouthern part of the ifland. Thus when the inhabitants of one half of the ifland reap, the others fo.v; and they have two plen¬ tiful harvefts in a year, to which the rivers running down from the abovementioned mountains contribute not a little. The ifland contains about 9000 inhabi¬ tants, who pay tribute to the Spaniards in rice, wax, and quilts. LHUYD,or Lhoyd (Humphrey), a learned anti¬ quarian of the 16th century, born at Denbigh, who ap¬ plied himfelf to the ftudy of phyfic; and living moftly within the walls of Denbigh caftle, pra&ifed there as a phyfician; and died in 1570, with the character of a well- bred gentleman. He wrote and tranflated feveral pieces relative to hiftory and antiquities; in particular, The hiftory of Cambria, now called Wales, from Caradoc of Langcarvan, &c. but died before it was finiflied: however. Sir Henry Sidney, lord prefident of Wales, employed Dr David Powel to finiih it, who publiflied it in 1584. Anew and improved edition of this work was publiflied in 1774*. Lhuyd (Edward), keeper of the Mufeum at Ox¬ ford, was a native of South Wales, the fon of Charles Lhuyd, Efq; of Lhanvorde. He was educated at Je- fus College, Oxford, where he was created M. A. July 21. 1701. He was bred under Dr Plot, whom he fucceeded as keeper of the A.flimolean mufe- um, and had the ufe of all Vaughan’s colleftions. With inceflant labour and great exaftnefs he employed a confi- derable part of his life in fearching into the Welfh an¬ tiquities ; had perufed or collected a great deal of anci¬ ent and valuable matter from their MSS.; tranfcribed all the old'charters of their monafteries that he could meet with; travelled feveral times over Wales, Cornwall, Scotland, Ireland, Armoric Bretagne, countries inha¬ bited by the fame people, compared their antiquities, and made obfervations on the whole ; but died in July 1709, before hehad digefted them into the form of a difcourfe, as he intended, on the ancient inhabitants of this ifland. The untimely death of this excellent antiquary prevented the completing of many admirable defigns. For want of proper encouragement, he did very little towards un- derftanding the Britiih bards, having feen but one of thofe of the fixth century, and not being able to pro¬ cure accefs to two of the principal libraries in the coun¬ try. He communicated many obfervations to Bifhop Gibfon, whofe edition of the Britannia he revifed ; and publiflied “ Archtologia Brit arnica, giving fijme ac¬ count additional to what has been hitherto publiflied Lhuyd of the languages, hiftories, and cuftoms of the original . 11 inhabitants of Great Britain, from colleilions and ob- Litunusd fervations in travels through Wales, Cornwall, Bas Bretagne, Ireland, and Scotland, Vol. I. Gloffogra- phy, Oxford 1707,” fol. He left in MS. a Scottiflf or Irifli-Englifh Ditiionary, propofed to be publiflied in 1732 by fubfcription,by Mr David Malcohne,a miniiler of the church >of Scotland, with additions ; as alfo the Elements of the faid language ; with neceflary and ure¬ fill informations for propagating more effeftuallyrthe Englifli language, and for promoting the knovvlege of the ancient Scottifli or Irifh, and very many branches of ufeful and curious learning. Lhuyd, at the end of his preface to the Archaeologia, promifes an hiftorical- dictionary of Britifli perfons and places mentioned in ancient records. It feems to have been ready for prefs;. though he could not fet the time of publication. His collections for a fecond volume, which was to give an account of the antiquities, monuments, &c. in the principality of Wales, were numerous and well chofen ;, but, on account of a quarrel between him and Dr Wynne, then fellow, afterwards principal of the college^, and bifliop of St Afaph, he refufed to buy them, and they were purchafed by Sir Thomas Seabright, of Beachwood in Hertfordftiire, in whofe library the greateft part ftill remain, but fo indigefted, and writ¬ ten with fo many abbreviations, that nobody can un¬ dertake to publifh them. They confift of about 4® volumes in folio, 10 in quarto, and above xoo fmaller, and all relate to Irifli or Wellh antiquities, and chief-* ly in thofe languages. Carte made ext rafts from them, about or before 1736 ; but thefe were chiefly hiftoricaL Sir John Seabright has given Mr Pennant 23 of Lhuyd s MSS. Latin and Englifh. Many of his letters to Li¬ fter, and other learned contemporaries, were given by Dr Fothergill to the univerfity of Oxford, and are now in the Aflimolean mufeum. Lhuyd undertook more for illuftratiag this part of the kingdom than any one man befides ever did, or than any one man can be equal to. L1BANIUS, a famous Greek rhetorician and fo- phift in the 4th century, was born at Antioch, and. had a great ftiare in the friendfliip of Julian the A- poftate. Tliat prince offered him. the dignity of Pr,t~ feBus Pretoria ; but Libanius refufed it, thinking the name of fapbift, or profejfor of eloquence, much more, honourable. There are ftill extant feveral of his let¬ ters and Greek orations, by which he acquired great reputation ; but his ftyle is fbmewhat affefted and ob- feure. He was a pagan. Bal’d and’ Chryfoftom were his difciples. about the year 360. His letters were publilbed at Amfterdam in 1738 ; his orations at Ve¬ nice, 1755. LIBANOMANTIA, in antiquity, a fpec'es of divination performed with frankincenfe ; which, if it. prefently caught fire, and fent forth a grateful odour, was efteemed a happy omen,, and vice verfa. LIBAN-US, the name of a chain of mountains of Turkey in Alia, which lie between Proper Syria and Paleftine, extending, from weft to eaft, from the Me¬ diterranean fea as far as Arabia. The fummits of thefe mountains are fo high, that they are always co¬ vered with fnow : but below are very pleafant, and fruitful LIB [ 19 I LIB ^Liltatlon fruitful valleys. They were formerly famous for the 11 great number of cedar-trees growing thereon; but l4bel. now are very few remaining. Geographers di- ftinguifh this chain into Libanus and Antilibanus; the latter of which lies on the fouth fide of the valley> riling netlr the ruins of Sidon, and terminates at o- thers in Arabia, in N. Lat. 34. They are feparated from each other at an equal diftance throughout; •and form a bafon, or country, called by the ancients Calo Syria. LIBATION, amongft the Greeks and Romans, was ’nn effential part of folemn facrifices. It was alfo per¬ formed alone, as a drink offering, by way of procuring the protection and favour of the gods, in the ordinary affairs of life. Libations, according to the different natures of the gods in honour of whom they were made, confifled of different liquids, but wine was the moft ufual. The wine offered to the gods was al¬ ways unmixed with water. We meet with libations of water, libations of honey, libations of milk, 6nd libations of oil; thefe are called IiPi*. The li¬ bation was made with a ferious deportment and folemn prayer. At facrifices, the libation, after it had been tailed by the prieft, and handed to the byllanders, was poured upon the vidlim. At entertainments, a little wine was generally poured out of the cup, be¬ fore the liquor began to circulate, to fhow their gra¬ titude to the gods for the bleffings they enjoyed. Libations were alfo in ufe among the Hebrews, who poured an hin of wine on the vidtim after it was drilled, and the feveral pieces of the facrifice were laid on the altar, ready to be confumed in the flames. LIBAW, afea-port town of Courland,Jying on the Baltic fea, confifling entirely of wooden houfes. It belongs to the duke of Courland, and is fituated in E. -Long. 21. 27. N. Lat. 56. 27. LIBEL, (libAlus famojus), taken in its largeft and moll extenfive fenfe, fignifies any writing, picture, or the like, of an immoral or illegal tendency ; but, in n peculiar fenfe, Is ufed to denote a malicious defama¬ tion of any perfbn, and efpecially a magiftrate, made public by either printing, writing, figns or pictures, in order to provoke him to wrath, or expofe him to public hatred, contempt, and ridicule. The direCt tendency of thefe libels is the breach of the public peace, by llirring up the objeCts of them to revenge, and perhaps to bloodfhed. The communication of a libel to any one perfon is a publication in the eye of the law : and therefore the fending an abufive private letter to a man is as much a libel as if it were openly printed, for it equally tends to a breach of the peace. With regard to libels in general, there are, as in many other cafes, two remedies ; one by indiftment, and another by aCiion. Tl)e former for the public of¬ fence ; for every libel has a tendency to break the peace, or provoke others to break it: which offence is the fame whether the matter contained be true or falfe; and therefore the defendant, on an indiClment for publishing a libel, is not allowed to allege the truth of it by way of jollification. But in the remedy by action on the cafe, which Is to repair the party in da¬ mages for the injury done him, the defendant may, as for words fpoken, juilify the truth of the fads, and ihow that the p'aintiff has received no injury at all. What was faid with'regard to words fpoken, will alfo hold in every particular with regard to libels by wri- Libella. ting or printing, and the civil adions confequentw--v~~ thereupon : but as to figns or. pidures, it feems necef- fary always to (how, by proper innuendos and aver¬ ments of the defendant’s meaning, the import and ap¬ plication of the fcandal, and that fome fpecial damage has followed ; otherwife it cannot appear, that fiich li¬ bel by pidure was underftood to be levelled at the plaintiff, or that it was attended with any adionablc confequences. In a civil adion, then, a libel mull appear to be falfe, as well as fcandalous ; for, if the charge be true, thfe plaintiff has received no private injury, and has no ground to demand a compenfation for him- felf, whatever offence it may be againll the public peace: and therefore, upon a civil adion, the truth of the accufation may be pleaded in bar of the fuit. But, in a criminal profecution, the tendency which all libels have to create anjgiofities, and to dilturb the public peace, is the foie confideration of the law. And therefore, in fuch profeeutions, the only points to be confidered are, firlt, the making or publifhing of the book or writing; and, fecondly, whether the matter be criminal: and, if both thefe points are a- gainfl the defendant, the offence againll the public is complete. The punilhment of fuch libellers, for either making, repeating, printing, or publilhing the libel, is a fine, and fuch corporal punilhment as the court in -its diferetiqn lhall inflid ; regarding the quantity of the offence, and the quality of the offender. By the law of the twelve tables at Rome, libels, which affec¬ ted the reputation of another, were made a capital of¬ fence : but, before the reign of Auguftus, the punifli- ment became corporal only. Under the emperor Va- lentinian it was again made capital, not only to write, but to publilh, or even to omit dellroying them. Our law, in this and many other refpeds, correfponds rather with the middle age of Roman jurifprudence, when liberty, learning, and humanity, were in their full vigour, than with the cruel edids that were elta- blifhed in the dark and tyrannical ages of the ancient decemviri, or the latter emperors. In this, and other inllances, where blafphemous, immoral, treafonahle, fchifmatical, feditious, or fcan¬ dalous libels are punifhed by the Englifli law, fome with a greater, others with a lefs degree of feverity ; the liberty of the prefs, properly underftood, is by no means infringed or violated. See Liberty of the Prefs. LIBELLA, a piece of money amongft the Ro¬ mans, being the tenth part of tho denarius, and equal in value to the as. It was called HMIa, as.being a little pound, becaufe equal to a pound of brafs. ■ - Its value in our money is I ob. 1 qu. or a half-penny far¬ thing. See Money. Li bella, or Libel!ula, in zoology, a genus of four-winged flies, called in Englifh dragonflies^ or adder flies ; the charaders of which are thefe.: The mouth is furniflied with jaws: the feelers are (hort- er than the breaft ; and the tail of the male ter- p. minates in a kind of hooked forceps. There are 21 cctxxiyv fpecies, chiefly dillinguiflied by their colour. They have all two very large and reticulated eyes, covering the whole furface of the head. They fly very fwiftly; and pyey upon the wing, clearing the air of inmimer- C 2 able LIB [ Ivbel!-', able little flies. They are found in Augufl and Sep- « {"lber- i tember in our fields and' gardens, efpecially near places v where there are waters, as they have their origin from worms living in that element. The great ones ufually live all their time about waters; but the' fmaller are common among hedges, and the fmalleft of all fre¬ quent gardens. The fmaller kind often fettle upon bufhes, or upon the ground; but the large ones are almoft always upon the wing, fo that it is very diffi¬ cult to take them. Their eyes are beautiful objects for the microfcope. The largeft fpecies is produced from a water-worm that has fix feet, which, yet young and very fmall, is transformed into a chryfalis, Sari t' t^at 138 'ts dweMing water. People have thought In/i&i they difcovered them to have gills like fiffies. It wears a mafic as perfectly formed as thofe that are worn at a mafquerade; and this mafic, faftened to the infect’s neck, and which it moves at will, ferves it to hold its prey while it devours it. The period of trans- iormation being come, the chryfalis makes to the water-fide, undertakes a voyage in fearch of a conve- nient place; fixes on a plant, or (ticks fad to a bit of dry wood. Its flcin, grown parched, fplits at the up¬ per part of the thorax. The winged infedt iffues forth gradually, throws off its (lough, expands its wings, flutters, and then flies off with gracefulnefs and eafe. The elegance of its flender (hape, the richnefs of its colours, the delicacy and refplendent texture, of its wings, afford infinite delight to the beholder. The fexual parts of the libellulse are differently fituated in the male and female. It is under the body at the joining of the thorax, that thofe parts are difcovered in the males: thofe of the "females are known by a (lit placed at the extremity of the body. Their-amours conclude in a rape.' The male, while hovering about, watches, and then feizes the female by the head with the pincers with which the extremity of his tail is arm¬ ed. The raviftier travels thus through the air, till the female yielding to fuperior ftrength, or rather to incli¬ nation, forms her body into a circle that terminates at the genitals of the male, in order to accomplifli the purpofe of nature. Thefe kind of rapes are common. Libellulae are feen thus coupled in the air, exhibiting the form of a ring. The female depofits her eggs in the water, from whence fpring water-worms, which after¬ wards undergo the fame transformations. LIBELLI, was the name given to the bills which were put up amongft the Romans, giving notice of the time when a (how of gladiators would be exhibited, with the number of combatants, and other circum- ftances. This was called munus pronunciare orproponcre. —Thefe bills were fometimes termed edifia. Thefe pu¬ blic notices were given by the perfon who deligned to oblige the people with the (how, and were frequently attended with pictures reprefenting the engagement of. fome celebrated gladiators. This cuftom is alluded to by Horace, lib. ii. fat. vii. v. 96, &c. There was alfo the famofus libellus, a defamatory li¬ bel. Seneca calls them contumeliofi libelli, infamous rhymes, which by a Roman ordinance were pun!(liable with death. Libellus alfo in the civil law fignifies the declaration, or (late of the profecutor’ charge againil _jhe defendant; and it has the like fignification in our fpiritual courts; LIBER, in vegetables, the bark or rind, princi- 20 ] LIB pally of trees. This is to be conceived asconfifting of a Libera number of cylindric and concentrip furfaces whofe tex- il ture is reticular, and in fome trees plainly extrulxble Libertines, every way, by reafon that the fibres are foft and flex- ible. While in this condition, they are either hollow regular canals, or, if not fo, they have interftitial fpa- - ces which ferve the office of canals. The nutritious" juice which they are continually receiving, remains in part in them; makes them grow in length and thick- nefs, and (Lengthens and brings them clofer together;: and by this means the texture which was before reticu¬ lar becomes an affemblage of ftraight fibres ranged ver¬ tically and parallel to each other; that is, as they are thus altered behind one another, they by degrees be¬ come a new fubftance, more woody, called blea. LIBERA, in mythology, the name of a goddefs, which Cicero, in his book Of the Gods, reprefents as the daughter of Jupiter and Ceres. Ovid in his Fafti fays that -the name was given by Bacchus to Ariadne. Libera is exhibited on medals as a kind of female Bacchus, crowned with vine leaves. LIBERAL arts, are fuch as depend more on the labour of the mind than on that of the hands; or, that confift more in fpeculation than Operation ; and have a greater regard to amufement and curiofity than to ne- ceffity. The word comes from the Latin liberalis, which a- mong the Romans/ fignified a perfon who was not a Have ; and whofe will, of confequence, was not check¬ ed by the command of any mailer. Such are grammar, rhetoric, painting, fculpture, architecture, mufic, &c. The liberal arts ufed for¬ merly to be fummed up in the following Latin verfe : Lingua, Tropu's, Ratiot Numerus, Tonus, Angulus, AJlra. And the mechanical arts, which, however, are innu¬ merable, under this : Rus, Nemus, Arma, Faber, Vulnera, Lana, Rates.. See Arts. LIBERALIA, feafts celebrated by the ancient Romans, in honour of Liber or Bacchus, the fame with thofe which the Greeks called Dion y si a, and Dionyjiaca They took their name from liber, i. e. free, a title conferred on Bacchus in memory of the liberty or freedom which he granted to the people of Bceotia; or, perhaps, becaufe wine, whereof he was the repu¬ ted diety, delivers men from care, and fets their mind at eafe and freedom. Varro derives the name of this feaft irovn. liber, confidered as a noun adjective, and fig- nifying free; becaufe the prieffs were free from their, function, and eafed of all care, during the time of the liberalia : as the old women officiated in the ceremonies and facrifices of thefe feafts. LIBERIA, in Roman antiquity, a feftival obferved, on the 16th of the kalends of April, at which time the youth laid afide their juvenile habit for the toga virilis,. or habit peculiar to grown men. See the article Tocji. LIBERTINES, Libertini, in ecclefiaftical hifto- ry, a religious left, which arofe in the year 1525, whofe principal tenets were, that the Deity was the foie operating caufe in the mind of man, and the immedi¬ ate author of all human aftions; that, confequently, the diftinftions of good and evil, which had been eftabliftied. with regard to thofe actions, were.falfe and groundlefs. L I 23 c I.ibertincs, and that men could not, properly fpeaking, commit ^ Liberals. fin . that religion confifted in the union of the fpirit or j'"'1 * _ 1 * rational foul with the 'Supreme Being; - that all thofe who had attained this happy union, by fublime con¬ templation and elevation of mind, were then allowed to indulge, without exception or reftraint, their appe¬ tites or paffions; that all their actions and purfuits were then perfectly innocent; and that, after the death of the body, they were to be united to the Deity. They likewife faid that JefusChrift was nothing but a mere je ne fcai quoi, compofed of the fpirit of God, arid of the opinion of men. Thefe maxims occafioned their being called Liber¬ tines ; and the word has been ufedin an ill fenfe ever frnce. The Libertini fpread principally in Holland and Bra¬ bant. Their leaders were one Quintin, a Picard, Poc- kefius, Ruffus, and another called Chopin, who jdined with Quintin, and became his difciple. This fe£t obtained a certain footing in FraricCthro’ the favour and protection of Margaret, queen of Na¬ varre, and lifter to Francis I. and found patrons in fe- veral of the reformed churches. This fe& was pro¬ bably a remnant of the more ancient Beguards or Brethren of the Free Spirit. Libertines of Geneva, were a cabal of rakes rather than of fanatics; for they made no pretences to any religious fyftem, but pleaded only for the liberty of leading voluptuous and immoral lives. This cabal was compofed of a certain number of licentious citizens, who could not bear the fevere difeipline of Calvin, who punilhed with rigour not only dilfolute manners, but alfo whatever bore the afperit of irreligion and impiety. In this turbulent cabal there were feveral perfons who were not only notorious for their diffolute and fcanda- lous manner of living, but alfo for their atheiftical im¬ piety, and contempt of all religion. To this odious ,clafs belonged one Gruet, who denied the divinity of the Chriftian religion, the immortality of the1 foul, the difference between moral good and evil, and rejected with' difdain the doctrines that arc held moft facred among Chriftians; for which impieties he was at laft brought before the civil tribunal, in the year 1550, and condemned to death. The Genevan fpirit of reforma¬ tion, improperly directed by the violence and zeal of Calvin, did at this time operate to a degree which has marked the chara&er of this great reformer with re¬ proach. For in 1544, Sebaftian Caftalio, mafter of the public fchool at Geneva, who was a man of probity, and diftinguiftied by his learning and tafte, was, never- thelefs, depofed from his office and baniftied the city, becaufe he diiapproved fome of the menfures that were purfued and fome of the opinions entertained by Calvin and his colleagues,, and particularly that of abfolute and unconditional predeftination. Jerome Bolfec alfo, a man of genius and learning, who became a convert to the Proteftant religion and fled to Geneva for pro- teftion, was caft into prifon, and foon after fent into banifhment, becaufe, in 1551, he imprudently and in¬ decently declaimed, in full congregation and at the clofe of public worfhip, againft the doritrine of abfolute de¬ crees. LIBERTUS, or Libertinus, among the Romans, a freedman, or a gerfon fet free from a legal fervi- iude. i ] LIB Thefe ftill retained fortte mark of their ancient ilate : LiBterlyi he who made a flave free having a right of patronage ——v~“ bver the lHer tvs; fo that if the latter failed of fhow- ing due refpeft to bis patron, he was reftored to his fervitude ; and if the libertus died without children,, his patron was his heir. See Slave, In tile beginning of the republic, libertinus denoted the fon of a libertus or freedm^n ; but afterwards, be¬ fore the time of Cicero, and under the emperors, the terms libertus and libertir.us, as Suetonius has remarked, were ufed as fynonymous. LIBERTY, denotes a ftate of freedom, in contra- diftinCtion to Jlavery or rejlraint; and may be con- fidered as either natural or civil. The abfolute rights of man, confidered as a free agent, endowed with difeernment to know good from evil, and with power of choofing tl\ofe meafures which appear to him to be moft defirable, are ufually fum- - med up in one general appellation, and denominated’ the natural liberty of mankind'. This natural liberty conlifts properly in a power of afting as one thinks, fit, without any reftraint or controul, unlefs by the law of nature ; being a right inherent in us by birth, and one of the gifts of God to man at his creation y when he endued him with the faculty of free-will. But every man, when he enters into fociety, gives up, a part of his natural liberty, as the price of fo va¬ luable a purchafe ; and, in confideration of receiving the advantages of mutual commerce, oblige's himfelf to conform to thofe laws which the community has thought proper to eftablilh. And this fpecies of le¬ gal obedience and conformity is infinitely more defire- able than that wild and favage liberty which is facri- ficed to obtain it. For no man, that confiders a mo¬ ment, would wifh to retain the abfolute and uncon- trouled power of doing whatever he pleafes : the con- fequence of which is, that every other man would alfo- have the fame power; and then there would be no fecurity to individuals in any of the enjoyments of- life. Political, therefore, or civil, liberty, which is that of a member of fociety, is no other than natural li¬ berty, fo far reftrained by human laws (and .no farther) as is neceffary and expedient for the general advantage of the public. Hence we may colled:, that the law, which reftrains a man from doing mifehief to his fel¬ low citizens, though it diminilhes the natural, in- creafes the civil liberty of mankind: but every wan¬ ton and caufelefs reftraint of the will of the fubjed,. whether pradifed by a monarch, a nobility, or a po¬ pular affembly, is a degree of tyranny. Nay, that even laws themfelves,. whether made with or without our confent, if they regulate and conftrain our condud in matters of mere indifference, without any good end. in view, are laws deftrudivc of liberty: whereas, if any public advantage can arife from obferving fuch. precepts, the controul of our private inclinations, in , one or two particular points, will conduce to preferve our general freedom in others of more importance, by fupporting that ftate of fociety which alone can fecure our independence. Thus the ftatute of king Edward IV. which forbad the fine gentlemen of thofe times (under the degree of a lord) to wear pikes upon their Ihoes or boots of more than two inches in length, was a law that favoured of oppreffion; becaufe, how- j&laclft. yCsmment* t I B l 12 ! LIB • ever ridiculous the fafhion then In ufe might appear, be as conllantly denounced againft all thofe t’uat by loflierty. ~ the reftralning it by pecuniary penalties could ferve word, deed, or counfel, aft contrary thereto, or in any ' v—^ no purpofe of common utility. But the ftatute of degree infringe it. Next by a multitude of fublequent King Charles II. which preferibes a thing feemingly corroborating ftatutes (Sir Edward Coke reckons 32), as indifferent, viz. a drefs for the dead, who were all from the firft Edward to Henry IV. Then, after a -ordered to be buried in woollen, is a law confiftent long intervalj'by the petition of right; which was a par- with public liberty; for it encourages the flaple trade, liamentary declaration of the liberties of the people, on which in great meafure depends the univtrfal good affented to by King Charles I. in the beginning of his of the nation. So that laws, when prudently framed, reign. Which was olofely followed by the ftill more are by no means fubverfive, but rather introduftive, of ample -Conceflions made by that unhappy prince to his liberty; for (as Mr Locke has well obferved) where parliament, before the fatal rupture between them ; there is no law there is no freedom. But then, on and by the many falutary laws, particulary the habeas the other hand, that conflitution or frame of govern- corpus aft, puffed under Charles II. To thefe fucceed- ment, that fyftem of laws, is alone calculated to main- ed tlye bill of rights, or declaration delivered by the lords tain civil liberty, which leaves the fubjeft entire ma- and commons to the prince and princefs of Orange, Iter of his own conduft, except in thofe points where- 13 th February 1688 ; and afterwards enafted in par- in the public good requires feme direction or reftraipt. diament, when they became king and queen: which de- The idea and praftice of this political or civil li- claration concludes in thefe remarkable words ; “ and berty flourifh in their highefl vigour in thefe king- they do claim, demand, and infift upon, all and fingu- xloms, where it falls little fhort of perfection, and can far the premifes, as their undoubted rights and liber- -only be loft or deftroyed by the folly or demerits of ties.’* And the aft of parliament itfelf recognifes “all its owner; the legiflature, and of courfe the laws of and lingular the rights and liberties afferted andclaim- Britain, being peculiarly adapted to the prefervation ed in the faid declaration to be the true, ancient, and of this ineftimable bleffmg even in the meaneft fubjeft. indubitable rights of the people of this kingdom.” Very different from the modern conftitutions of other Laftly, thefe liberties were again afferted at the com- hates on the continent of Europe, and from the genius mencement of the prefent century, in the a£t of fettle* of the imperial law; which in general are calculated merit, whereby the crown was limited to his prefent to veft an arbitrary and defpolic power, of controul- majefty’s ilhittrious houfe: and fome new proviiions ing the aftions of the fubjeft, in the prince, or in a were added, at the fame fortunate era, for better fecu- few grandees. And this ipirit of liberty is fo deeply ring our religion, laws, and liberties ; which the fla- implanted in our conflitution, and rooted even in our tute declares to be “ the birthright of the people of very foil, that a Have or a negro, the moment be lands England,” according to the ancient doctrine of the in Britain, falls under the proteftion of the laws, and common law. fo far becomes a freeman; though the mailer’s right Thus much for the declaration of our rights and li- to his fervice may pofhbly Hill continue. berties. The rights themfelves, thus defined by thefe The abfolute rights of every Briton (which, taken feveral flatutes, confifl in a number of private immu- in a political and extenfive fenfe, are ufually called nities; which will appear, from what has been pre- their liberties), as they are founded on nature and rea- mifed, to be indeed no other, than either that reft* fon, fo they are coeval with our form of government; duum of natural liberty, which is not required by the though fubjeft at times to fluftuate and change, their laws of fociety to be facrificed to public convenience ; -cflablifhment (excellent as it is) being flill human, or elfe thofe civil privileges, which fociety hath enga- At fome times we have feen them deprefled by over- ged to provide, in lieu of the natural liberties fo given bearing and tyrannical princes; at others, fo luxuriant up by individuals. Thefe therefore were formerly, ei- as even to tend to anarchy, a worfe Hate than tyranny ther by inheritance or purchafe, the rights of all man- itfelf, as any government is better than none at all. kind; but, in moll other countries of the world, being But the vigour of our free conflitution has always de- now more or lefs debafed and deflroyed, they at pre- livered the nation from thefe embarraffments: and, as fent may be faid to remain, in a peculiar and empha- foon as the convulfions confequeni on the llruggle have tical manner, the rights of the people of Britain. And been over, the balance of our rights and liberties has thefe may be reduced to three principal or primary ar- ie' tied to its proper level; and their fundamental ar- tides ; the right of perfonal fecurity, the right of per- tides have been from time to time afferted in parlia- fonal liberty, and the right of private property : be- ment, as often as they were thought to be in danger: caufe, as there is no other known method of compul- Firil, by the great charter of liberties, which was iion, or of abridging man’s natural free-will, but by obtained, fword in hand, from King John, and after- an infringement or diminution of one or other of thefe wards, with fome alterations, -confirmed in parliament important rights, the prefervation of thefe inviolate by King Henry HI. his fon. Which charter contain- may juflly be faid to include the prefervation of our ed very few new grants; but, as Sir Edward Coke ob- civil immunities in their largetl and moll extenfive fenfe. ferves, was for the moll part declaratory of the prin- See the article Rights. cipal grounds of the fundamental laws of England. In vain, however, would thefe rights be declared. Afterwards, by the llatute called confrmatio cartamm, afeertained, and protefted by the dead letter of the whereby the great charter is direfted to be allowed as laws, if the conflitution had provided no other me- the common law; all judgments contrary to it are de- thod to fecure their aftual enjoyment. It has there- dared void ; copies of it are ordered to be fent to all fore eflablifhed certain Other auxiliary fubordinate rights .cathedral churches, and read twice a-year to the pco- of the fubjeft, which ferve principally as barriers to pie ; and fentence of excommunication is d!refted to proteft and maintain inviolate the three great and- pri¬ mary L I B [ 23 ] LIB l^ibcty. marjr rights, of perfanal iecurity, perfonal liberty, and private property. Thefe are, 1. The conflitution, powers, and privileges of par¬ liament ; for which fee Parliament. 2. The limitation of the king's prerogative, by bounds fo certain and notorious, that it is impoffible he fhould exceed them without the confent of the peo¬ ple ; as to which, fee Prerogative. The former of thefe keeps the legiflative power in due health and vi¬ gour, fo as to make it improbable that laws fhould be ena&ed deftructive of general liberty : the latter is a guard upon the executive power, by reliraining it from acfting either beyond or in contradiction to the laws that are framed and eltabliflied by the other. 3. A third fubordinate right of every Briton is that of applying to the courts of jultice for redrefs of in¬ juries. Since the law is, in this realm, the fupreme arbiter of every man’s life, liberty, and property, courts of juftice mult at all times be open to the fub- ject, and the law be duly adminiftered therein. Th« emphatical words of rrwgna carta, fpoken in the perfon of the king, who in judgment of law (fays Sir Edward Goke) is ever prefent and repeating them in all his courts, are thefe : Nulli vendemus, nulli negabimus, aut differ emus redum vel juffitiam ; “ and therefore every fubjecft (continues the fame learned author), for injury done to him in bonis, in terris, velperfona, by any other fubjeft, be he ecclefiaflical or temporal, without any exception, may take his remedy by the courfe of the law, and have juitice and right for the injury done to him, freely without fale, fully without any denial, and Jpeedily without delay.” It were endlefsto enumerate all the affu native abts of parliament, wherein jullice is dire tied to be done according to the law of the land s and what that law is, every fubjeft knows ; or may know' if he pleafes : for it depends not upon the arbi¬ trary wdll of any judge ; but is permanent, fixed, and unchangeable, unlefs by authority of parliament. We {hall however juft mention a few negative ftatutes, whereby abides, perverfions, or delays of juftice, efpe- eially by the prerogative, are. reftrained. It is ordain¬ ed by magna carta, that no freeman ihall be outlawed, that is, put out of the protection and benefit of the laws, but according to the law of the land. By 2 Edw\ III. c. 8. and 11 Ric. II. c. 10. it is enacted, that no commands or letters fhall be fent under the great feal, or the little feal, the fignet or privy feal, in difturbance of the law ^ or to difturb or delay common right : and, though fuch commandments fhould come, the judges Ihall not ceafe to do right: which is alfo made a part of their oath by ftatute- j8 Edw'. III. ft. 4. And by 1 W. & M. ft. 2. c. 2. it. is declared, that the pretended power of fufpending or difpenfing with laws, or the'execution of laws, by regal authority without confent of parliament, is il¬ legal. Not only the fubftantial part, or judicial decifions, of the law, but alfo the formal part, or method of proceeding, cannot be altered but by parliament: for, if once thofe outworks wrere demolifhed, there w'ould be an inlet to all manner of innovation in the body of the law itfelf. The king, it is true, may eredt new courts of juftice; but then they muft proceed accord¬ ing to the old eftabliftied forms of the common law-. For which-reafon it is declared, in the llatute 16 Car. I, c. I o. upon the diflblution of the court of ftar-cliamber. Liberty, that neither his majefty, nor his privy-council, have any jurifdi&ion, pow'er, or authority, by Englifh bill, petition, articles, libel fryhich were the courfe of pro- ceeding in the ftar-chember, borrowed from the civil law), or by any other arbitrary way whatfoever, to ex¬ amine, or draw into queftion, determine, or difpofe of the lands or goods of any fubjefts of this king¬ dom ; but that the fame ought to be tried and deter¬ mined in the ordinary courts of juftice, and by courfe of law. 4. If there fiiould happen any uncommon injury, or infringement of the rights before mentioned, which the ordinary courfe of law is too defeftive to reach, there ftill remains a fourth fubordinate right, apper¬ taining to every individual, namely, the right of peti¬ tioning the king, or either houfe of parliament, for the redrefs of grievances. In •Ruflia we are told, that the Czar Peter eftablifhed a law, that no fubjedl might petition the throne till he had firft petitioned two different minifters of ftate. In cafe he obtained juftice from neither, he might then prefent a third petition to the prince ; but upon pain of death, if found to be- in the wrong. The confequence of which was, that- no one dared to offer fuch third petition ; and grie¬ vances feldom falling under the notice of the fovereigiv he had little opportunity to redrefs them. The re- ftrittions, for fome there are, which are laid upon pe¬ titioning in Britain, are of a nature extremely different $ and while they promote the fpirit of peace, they are. no check upon that of liberty. Care only muft be taken, left, under the pretence of petitioning, the fub- ject be guilty of any riot or tumult; as happened in the opening of the memorable parliament in 1640: and, to prevent this, it is provided by the ftatute 13 - Car. II. ft. 1. c. 5. that no petition to the king, or either houfe of parliament, for any alteration in church or ftate, Ihall be figned by above 20 perfons, unlefs the matter thereof be approved by three juftices of the peace, or the major part of the grand jury, in the country; and in London, by the lord mayor, aider- men, and common-council: nor Ihall any petition be prefented by more than 10 perfons at a time. But, under thefe regulations, it is declared by the ftatute 1 W. & M. ft. 2. c. 2. that the fubjeft hath a right to petition; and that all commitments and profecutions for fuch petitioning are illegal. 5. The fifth and laft auxiliary right of the fubjeft, . that we (hall at prefent mention, is that of having arms for their defence, fuitable to their condition and^de¬ gree, and fuch as are allowed by. law. Which is alfo declared by the fame ftatute 1 W. & M. ft. 2. c. 2. and is indeed a public allowance, under due reftric- • lions, of the natural right of refiftance- and felf-pre- fervation, when the. funftioqs of fociety and laws are found infufficient to reftrain the violence of op— preffion. In thefe feveral articles- confift. the rights, or, as they are frequently termed, the liberties of Britons : li¬ berties more generally talked of, than thoroughly un- derftood ; and yet highly neceffary to be perfectly known and confidered by every man of rank or pro-- perty, left his ignorance of the points whereon they are founded ftiould hurry him into faction and been- tioufaefs on the one hand, or a pufiliammous indiffe- LIB T 24 ] LIB Libert;-, rente and criminal fubmifiion on the other. And \ve ment to revive It, in the fubfequent part of that reigfi hiberty, —' have feen that thefe rights confift, primarily, iin tire (Com. Journ. 11 Feb. 1694. 2(5 Nov. 1695. 22 Ott. , 1 free enjoyment of perfonal'fecarity, of perfonal liber- 1696. 9 Feb. 1697. 31 Jan. 1698.) yet the parliament * * IJf ty, and of private property. So long as thefe remain refilled it fo ftrongly, that it finally expired, and the inviolate, the fubjett is perfe&ly free ; for yvery fpe- prefs became properly free in 1694, and has continued -ties of compulfive tyranny and oppreffion mull aft in ioeverfince. oppofition to one or other of thefe rights, having no The liberty of the prefs, however, fo elfential to other objeft upon which it can poffibly be-employed, the nature of a free Hate, confifts not in freedom from To preferve thefe from violation, it is necelfary that. cenfure for any criminal matter that may be publilhed, •the conftitution of parliaments be fupported in its full but in laying no previous rellraints upon publications, vigour; and limits, certainly known, be fet to the royal Every freeman has undoubtedly a right to lay what 'prerogative. And, laftly, to vindicate thefe rights, fentiments he pleafes before the public; to forbid this, 'when actually violated or attacked, the fubjefts of Eri- is to deftroy the freedom of the prefs: but' if he pub- , tain are intitled, in the fir’ll place, to the regular ad- lilhes what is improper, mifchievous, or illegal, he mull miniftration and free courfe of juftice in the courts of take the confequence of his own temerity f. To fub- f See L/ir/. ? law ; next, to, the right of petitioning the king and jedt the prefs to -the rellriClive power of a licenfer in parliament for redrefs of grievances ; and, laltly, to the the manner above mentioned, is to fubjedl all freedom right of having and uiing arms for felf preiervation of fentiment to the prejudices of one man, and make and defence. And all thefe rights and liberties it is him the arbitrary and infallible judge of all controverted ■our birthright to enjoy entire ; unlefs where the laws points in learning, religion, and government. But to of our country have laid them under neceffary rellraints. punifh (as the law does at prefent) any dangerous or Rellraints in themfelves fo gentle and moderate, as offenfive writings which, when publilhed, lhall, on a will appear upon farther inquiry, that no mart of fenfe fair and impartial trial, be adjudged of a pernicious •or probity would wilh to fee them llackened. For all tendency, is necelfary for the prefervation of peace and of us have it in our choice to do every thing that a good order, of government and religion, the only folid -good man would defire to do ; and are rdlrained from foundations of civil liberty. Thus the will of indivi- nothing, but what would be pernicious either to our- duals is Hill left free ; the abufe only of'that free-will felves or our fellow-citizens. So that this review of is the objeft of legal punilhment. Neither is any re¬ cur fituation may fully juilify the obfervation of a ftraint hereby laid upon freedom of thought or inquiry; learned French author, who indeed generally both liberty of private fentiment is ftill left; the diifemina- thought and wrote in the fpirit of genuine freedom; ting or making public of bad fentiments, deftrudlive and who hath - not fcrupled to profefs, even in the of the ends of fociety, is the crime which fociety cor- very bofom of his native country, that the Britifh is redls. A man (fays a fine writer on this fubjedl) may the only nation in the world, where political or civil be allowed to keep poifons in his clofet, but not pub- liberty is the diredl end of its conftitution. Recom- licly to vend them as cordials. And to this we may mending therefore to the Undent in our laws a far- add, that the only plaufible argument heretofore ufed ther and more accurate fearch into this extenfive and for reftraining the juft freedom of the prefs, “ that it important title, we lhall clofe our rerparks upon it with was neceffary to prevent the daily abufe of it,” will the expiring wilh of the famous Father Paul to his entirely lofe its force, when it is Ihown (by a feafonable country, “ Esto perpetua !” exertion of the laws) that the prefs cannot be abufed to IjMertt and Necejfily. See Metaphysics. any bad purpofe without incurring a fuitable punifh- Libfrtt of the Prefs. The art of printing, foon ment: whereas, it can never be ufed to any good one after its introduction, was looked upon in England, when under the controul of an infpedtor. So true as well as in other countries, as merely a matter of will it be found, that to cenfure the licentioufnefs, is t® Hate, and fubjedt to the coercion of the crown. It was maintain the liberty of the prefs. therefore regulated with us by the king’s proclamations, Liberty, in mythology, was a goddefs both among prohibitions, charters of privilege and licence, and fi- the Greeks and Romans. Among the former Ihe nally by the decrees of the court of liar-chamber, which was invoked under the title Eleutheria ; and by the limited the number of printers, and of preffes which each latter Ihe was called Lilertas, and held in lingular ve- Ihould employ, and prohibited new'publications unlefs neration; temples, altars, and ftatues, were eredled previoully approved by proper licenfers. On the de- in honour of this deity. A very magnificent temple molition of this odious jurifdidtion in 1641, the long was confecrated to her on mount Aventin, by Tibe- parliament of Charles I. after their rupture with that • rius Gracchus, before which was a fpacious court, prince, affumed the fame powers as the ftar-chamber called atrium libertatis. The Romans alfo ere died a had exercifed with refpedl to the licenfing of books: new temple in honour of Liberty, when Julius Crefar and in 1643, I(H7> 1b49, and 1652 (Scobell. i. 44, eftablilhed his empire over them, as if their liberty 134. ii. 88, 230.) iffued their ordinances for that pur- had been fecured by an event which proved fatal to pofe, founded principally on the ftar-chamber decree it. In a medal of Brutus, Liberty is exhibited under of 1637. In 1662, was paffed the ftatute 13 & 14, the figure of a woman, holding in one hand a cap, the Car. II. c. 33. which, with fome few alterations, was fymbol of Liberty, and two poinards in the other, with copied from the parliamentary ordinances. This adl the infcription idibvs martiis. expired in 1679 » but was revived by ftatute 1 Jac. II. LIBETHRA (anc.geog.), the fountain of fong, c. 17. and continued till 1692. It was then continued was fituated in Magnefia, a diftridt of Macedonia ar- for two years longer by ftatute 4 W. & M. c. 24. but nexed to Theffaly; diftindl from the town of Li- though frequent attempts were made by the govern- bethra, which flood on the mount Olympus, where it N?i8i. 3 verges 1 I B r 25 ] LIB s verges towards Macedonia1: lienee the Mufes are called XMethrides, (Virgil,) Strabo places on Helicon, not 6nly Hippocrene, and the temple of the Mufes, but alfo the cave of the nymphs Libethrides. LIBETHRIUS mons (anc. geog.), a mountain of Bceotia, diftant from Coronea 40 ftadia; where ilood the ftatues of the Mufes, and of the nymphs, furnamed Libethride. A mountain probably conjoined with, or at leaft very near to, Helicon. LIBITINA, in the Roman mythology, a goddefs which pfefided over funerals. This goddefs was the fame with the Venus inf era or Epithymbia of the Greeks. She had a temple at Rome, where was lodged a cer¬ tain piece of money for every perfon who died, whofe name was' recorded in a regifter called Libitina ratio. This practice was eftablilhed by Servius Tullius, in order to obtain an account of the number of annual deaths in the city of Rome, and -confequently the rate of ir.creafe or decreafe of its inhabitants. LIBITINARII, were undertakers whofe office it Was to take care of funerals, prepare all things necef- fary upon the folemn .occafion, and furniffi every ar¬ ticle required.—They got their livelihood by this gloomy bufinefs, and kept a number of fervants to perform the working part of the profeffion, ftich as the pnll'mclores, vefpiltones. See. The name Libitinarii is derived from Libifina, the goddefs of funerals, in whofe temple were fold all things relating to funerals. See Funeral. LIBNA (anc. geog.), a facerdotal city in the tribe of Judah, a place of ftrength, as appears from Senna¬ cherib’s laying liege to it, 2 Kings xix. Ifafah xxxvii. In Jerome’s time, a village, called Lobna, in the ter¬ ritory of Eleutheropolis. LIBOURNE, a town of France, in Guienne, and in Bourdelois. It is a populous trading town, and is feated on the river Dordogne. W. Long. o. 1 o. N. Lat. 44. 55. LIBRA, or balance, ohe of the mechanical powers. See Balance, Libra, in aftronomy, one of the 12 figns of the zodiac, and exaftly oppofite to Aries; fo called be- •ca'ufe when the fun is in this fign at the autumnal equinox, the days and nights are equal as if weighed in a balance.—The liars in this conllellation according to Ptolemy are 17, Tycho 10, Hevelius 20, and Flamftead 51. Libra alfo denotes the ancient Roman pound, bor¬ rowed from the Sicilians, who called ,it /itra. The libra was divided into 12 uncia or ounces, and the mince into 24 fcruples. The divifions of the libra were, the uncia, one tw elfth ; the fextans, one fixth; the quadrans, one fourth 5 the triens, one third; the quincunx, five ounces; the femis, fix ; the feptunx, feven : the bes, eight; the dodrans, nine : the dexlrans, ten ; the deunx, eleven ; laflly, the as weighed twelve ounces or one libra. The Roman libra was ufed in France for the pro¬ portions of their coin till the time of Clfarlemagne, or perhaps' till that of Philip I. in 1093, their fols being fo proportioned, as that 20 of them were equal to the libra. By degrees it became a term of account; and eveiy thing of the value of twenty fols was called a Imre. Vol. X. Part I. Libra penfa, ill rmr law books, denotes a pound of money in weight. It was ufual in former days not only to tell the money but to weigh it: becaufe many cities, lords, and bilhops, having their mints, coined money, and often very bad too; for which reafon, though the pound confifted of 20 (hillings, they al¬ ways weighed it. LIBRARII, among the ancients, were -a fort of copyills who tranferibed in beautiful or at leaft legible charadlers, what had been wri..ten by the notarii in notes and abbreviatures. LIBRARY, an edifice or apartment deftined for holding a confiderable number of books placed regu¬ larly on fhelves ; or the books themfelves lodged in it. Some authors refer the origin of libraries to the Hebrews ; and obferve, that the care thefe took for the prefervation of their facted books, and the me¬ mory of what concerned the adliqns of their anteftors, became an example to other nations, particularly to the Egyptians. Ofmanduas, king of Egypt, is laid to have taken the hint firft ; who, according to Dio¬ dorus, had a library built in his palace, with this in- feription over the door,'E-txhx iatpeion. Nor were the Ptolemies, who reigned in the fame country, lefs curious and magnificent in books. The feripture alfo fpeaks of a library of the kings of Perfia, Ezra v. 17. vi. 1. which feme imagine to have confifted of the hiftorians of that nation, and of memoirs of the affairs of ftate; but, in effedt, it ap¬ pears rather to have been a depofitory of laws, dhar- ters, and ordinances of the kings. The Hebrew text calls it the houfe of treafures, and aftenvards the houfe of the rolls, where the treafures were laid up. We may, with more juftice, call that a, library, mentioned in the fecond of Efdras to have been built by Nehe- miah, and in which were preferved the books of the prophets, and of David, and the letters of their kings. The firft who eredled a library at Athens, was tire tyrant Pififtratus; and yet Strabo refers the honour of it to Ariftotle. That of Pififtratus was tranfport- ed by Xerxes into Perfia, and w’as afterwards brought back by Seleucus Nicanor to Athens. Long after, it was plundered by Irylla, and re-eftabliflied by Ha¬ drian. Plutarch fays, that under Eumenes there was a library at Pergamus, containing 200,000 books. Tyrannian, a celebrated grammarian, contemporary with Pompey, had a library of 30,000 volumes. That of Ptolemy Philadelphus, according to A. Gellius, con¬ tained 700,000, all in rolls, burnt by Caffar’s foldiers. Conilantine, and his fuceeffors, eredled a magni¬ ficent one at Conftantinople ; which in the eighth cen¬ tury contained 300,000 volumes, all burnt by order of Leo Ifaurus; and, among the reft, one wherein the Iliad and Gdyffey were written in letters of gold, on the guts of a ferpent. The moft celebrated iibrai-ies of ancient Rome, were the Ulpian, and the Palatine. They alfo boaft much of the libraries of Paulus iEmilius, who conquered Perfeus; of Lucilius Lucullus, of Afinius Pollio, At- ticus, Julius Severus, Domitius, Serenus, Pamphilius Martyr, and the emperors Gordian and Trajan. Anciently, every large church had its library; as appears by the writings of St Jerome, Anaftafius, and others. Pope Nicholas laid the firft foundation of D that LIB I 26 1 LIB Library, that of the Vatican, in 1450. It was dcftroyed by — 1 the conftable Bourbon, in the lacking of Rome, and reftored by Pope Sixtus V, and has been confiderably enriched with the ruins of that of Heidelberg, plun¬ dered by Count Tilly in 1622. One of the moft com¬ plete libraries in Europe, was faid to be that ere&ed at Florence by Cbfmo de -Medicis, over the gate whereof is written, labor absque labore ; though it is now exceeded by that of the French king, be¬ gun by Francis I. • jmented by Cardinal Richelieu, and completed by M. Colbert. The emperor’s library at Vienna, according to Lam- becius, confifts of 80,000 volumes, and 15,940 curious medals. The Bodleian library at Oxford, built on the foun¬ dation of that of Duke Humphry, exceeds that of any univerfity. in Europe, and even thofe of all the fovercigns of Europe, except the emperor’s and French king’s, which are each of them older by 100 years. It was firft opened in 1602, and has lince found a great number of benefaftors ; particularly Sir Robert Cotton, Sir FI. Savil, Archbifhop Laud, Sir Kenelm Digby, Mr Allen, Dr Fococke, Mr Selden, and others. The Vatican, the Medicean, that of Beifa- rion at Venice, and thofe juft mentioned, exceed the Bodleian in Greek manufcripts: which yet outdoes them all in Oriental manufcripts. As to printed books, the Ambrofian at Milan, and that of Wolfenbuttle, are two of the moft famous, and yet both inferior to the Bodleian. King's Library, at St James’s, was founded by Henry, eldeft fon of James I. and made up partly of books, and partly of manufcripts, with many other curiofities, for the advancement of learning. It has received many additions from the libraries of Ifaac Cafaubon and others.- Cottonian Library, originally confifted of 958 vo lumes of original charters, grants, inftruments, letters of fovereign princes, tranfaftions between this and other kingdoms and ftates, genealogies, hiftories, re- gifters of monafteries, remains of Saxon laws, the book of Genefis, thought to be the moft ancient Greek copy extant, and faid to have been written by Origen in the fecond century, and the curious Alexandrian copy or manufcript in Greek capitals. • This library is kept in the Jlritifh Mufeum, with the large and va¬ luable library of Sir Hans Sloane, amounting to up¬ wards of 42,000 volumes, &c. There are many pu¬ blic libraries belonging to the feveral colleges at Ox¬ ford and Cambridge, and the univerfities in North Britain. The principal public libraries in London, Jbefide that of the Mufeum, are thofe of the college of heralds, of the college of phyficians, of Doftors Com¬ mons, to which every bifhop, at the time of his con- fecration, gives at leaft 20I. fometimes 50I. for the purchafe of books; thofe of the Gray’s Inn, Lincoln's Inn, Inner Temple, and Middle Temple ; that of Lambeth, founded by Archbifhop Bancroft in 1610, for the ufe of fucceeding archbifhops of Canterbury, and increafed by the benefactions of Archbifhops Ab¬ bot, Sheldon, and Tennifon, and faid to confift of at leaft 15,000 printed books, and 617 volumes in manufcript; that of Red-Crofs ftreet, founded by Dr Daniel Williams, a Prefbyterian divine, and fmce en¬ riched by many private benefactions; that of the Royal Society, called the Arundelian or Norfolk library, be- caufe the principal part of the colledtion formerly be¬ longed to the family of Arundel, and was given to the fociety by Henry Howard, afterwards duke of Norfolk, in 1666, which library has been increafed by the valuable colledtion of Francis Afton, Efq; in 1715, and is continually increafmg by the numerous benefadtions of the works of its learned members, and others : that of St Paul’s, of Sion college; the queen’s library, eredted by Queen Caroline in 1737 ; and the furgeon’s library, kept in their hall in the Old Bailey, &c. In Edinburgh there is a good library belonging to the univerfity, well furnilhed with books ; which arc kept in good order. There is alfo a noble library of books and manufcripts belonging to the faculty of advocates. See Advocate. LIBRATION, in aftronomy, an apparent irregu¬ larity of the moons’s motion, whereby fhe feems to li- brate about her axis, fometimes from the eaft to the weft, and now and then from the weft to the eaft. See Astronomy, n°420. LIBURNIA (anc. geog.), a diftridl of Tllyricum, extending towards the Adriatic between Iftria on the weft, Dalmatia on the eaft, and mount Albius on the north. Liburni, the people. The apparitors, who at the command of the magiftrate fummoned the people from the country, were called Liburn i, becaufe generally men. of Liburnia.—Liburna, or Liburnica, (Horace), denoted a kind of light and fwift fluff, ufed by the Liburnians in their fea-rovings or piracies, for which they were noted. Lilurnum (Juvenal) was a fpecias of litter made in form of Liburnian flciffs, wherein the noblemen of Rome were carried, and where they fat at their eafe, either reading or writing. LIBURNUS (anC.geog.), a mountain of Campania. Alfo a port of Tufcany, Now Livorno, or Leghorn. E. Long. 11. N. Lat. 43. 30. LIBYA, in general, according to the Greeks, de» noted Africa. An appellation derived from lub, “ thirft,” being a dry and thirfty country. See A.FRICA. Libya, in a more reftrained fenfe, was the middle part of Africa, extending north and weft, (Pliny).; between the Mediterranean to the north, and Ethiopia to the eaft; and was two-fold, the Hither or Exterior Libya; and the Farther or Interior. The former lay between the Mediterranean on the north, and the Farther Libya and Ethiopia beyond. Egypt on the fouth, (Ptolemy). The Farther or Interior Libya, was a vaft country, lying between the Hither Libya on the north, the Atlantic ocean on the weft, the Ethiopic on the fouth, and Ethiopia beyond Egypt on.the eaft, ^Ptolemy). Libya, in a ftill more reftrained fenfe, called, for diftinftion’s fake, Libya Propria, was a northern di- ftrict of Africa, and a part of the Hither Libya ; fitu- ated between Egypt to the eaft, the Mediterranean to the north, the Syrtis Major and the Regio Tripoli- tana to the weft, the Garamantes and Ethiopia be¬ yond Egypt to the fouth. Npw the kingdom and defart of Barca. This Libya was again fubdivided into Libya taken in the ftricteft fenfe of all, and into Marmarica and Cyrenaica.. Libya in the ftrifteft fenfe, otherwife the Exterior, was the moft eaftern part of Libya Pro¬ pria, next to Egypt, with Marmarica on the weft, the Libratkin LI1 L I C Licence Mediterranean on the north, arid the Nubi, now called i! Nubia, to the fouth, (Ptolemy). ^lc*ien' , LICENCE, in law, an authority given to a perfon ' v to do fome lawful aft. Licenser of'tie Prefs. See Liberty of the Prefs, LICENTIATE, one who has obtained the degree of a licence.—The greateft number of the officers of juftice in Spain are diftinguiihed by no other title than that cf licentiate. In order to pafs licentiate in common law, civil law, and phyfic, they mull have ftudied feven years, and in divinity ten. Among us a licentiate ufually means a phyfician who has a licence to praftife, granted by the college of phyficians. LICETUS, a celebrated phyfician of Italy, was born at Rappollo, in the ftate of Genoa, 1577. He came, it feems, into the world, before his mother had complet¬ ed the feventh month of her pregnancy ; but his father, being an ingenious phyfician, wrapped him up in cotton, and nurtured him fo, that he lived to be 77 years of age. He was trained with great care, and became a very diftinguiihed man in his profeffion ; and was the author of a great number of works: his book De Monjlris every body mull have heard of. He was profeflbr of philofophy and phyfic at Padua, where he died in 1655. LICHEN, liver wort, in botany; a genus of the natural order of algae, belonging to the ciyptoga- mia clafs of plants. The male receptacle is roundilh, fomewhat plain and fhining. In the female the leaves have a farina or mealy fubftance fcattered over them. There are about 130 fpecies, all found in Britain. Among the moll remarkable are the following : 1. The geographicus; it is frequent in rocks, and may be readily diftinguiihed at a diftance. The cruft or ground is of a bright greenilh-yellow colour, fprinkled over with numerous plain black tubercles; which frequently run into one another, and form lines refembling the rivers in a map, from which laft cir- cumftance it takes its name. 2. The calcarious, or black-nobbed dyer’s lichen, is frequent on calcarious rocks; and hath a hard, fmooth, white, Honey, or tartareous cruft, cracked or tefielated on the furface, with black tubercles. Dille- nius relates, that this fpecies is ufed in dyeing, in the fame manner as the tartareus after mentioned. 3. The ventofus, or red fpangled tartareous lichen, hath a hard tartareous cruft, cracked and tefielated on the furface, of a pale yellow colour when frelh, and a light olive when dry. The tubercles are of a blood- red colour at top, their margin and bafe of the fame colour as the cruft. The texture and appearance of this (according to Mr Lightfoot), indicate that it would anfwer the purpofes of dyeing as well as fome others of this tribe, if proper experiments were made. 4. The candelarius, or yellow farinaceous lichen, is common upon walls, rocks, boards, and old pales. There are two varieties. The firft has a farinaceous cruft of no regular figure, covered with numerous, fmall, greenifh-yellow, or olive fhields, and grows commonly upon old boards. The other has a fmooth, hard, circular cruft, wrinkled and lobed at the circum¬ ference, which adheres clofely to rocks and ftones. In the centre are numerous (hields of a deeper'yellow or orange colour, which, as they grow old, fwell in the middle, and affume the figure of tubercles. The in- kabitants of Smaland in Sweden fcrape this lichen from L I G the rocks, and mix it with their tallow, to make golden ’Lichen, candles to burn on feftival days. 1 7 * 5. The tartarius, or large yellow-faucer’d dyer’s lichen, is frequent on rocks, both in the Highlands and Lowlands of Scotland. The cruft is thick and tough, either white, or greenifh-white, and has a rough warted furface. The ihields are yellow or buff-co¬ loured, of various fizes, from that of a pin’s head to the diameter of a filver penny. Their margins are of the fame colour^as the cruft. This lichen is much ufed by the Highlanders for dyeing a fine claret or' pom¬ padour colour. For this purpofe, after fcraping it from the rocks, and cleaning it, they fteep it in urine for a quarter of a year. Then taking it out, they make it into cakes, and hang them up in bags to dry. Thefe cakes are afterwards pulverifed, and the powder is ufed to impart the colour with an addition of alum. 6. The parellus, or crawfiih-eye lichen, grows upon walls and rocks, but is not very common. The crufts fpread clofely upon the place where they grow, and cover them to a confiderable extent. They are rough, tartareous, and aih-coloured, of a tough coriaceous fub¬ ftance. The ffiields are numerous and crowded, having white or afh-coloured, (hallow, plain difcs, with obtufe margins. This is ufed by the French for dyeing a red colour. 7. The faxatilis, or grey-blue pitted lichen, is very common upon trunks of trees, rocks, tiles, and old wood. It forms a circle two or three inches diameter. The upper furface is of a blue-grey and fometimes of a whitifh afti-colour, uneven, and full of numerous finall pits or cavities ; the under fide is black, and covered all over, even to the edges, with (hort fimple hairs or radicles. A variety fometimes occurs with leaves tinged of a red or purple colour. This is ufed by finches and other fmall birds in conftrufting the outfide of their curioully formed nefts. 8. The omphalodes, or dark-coloured dyers lichen, is frequent upon rockg. It forms a thick widely .ex¬ panded cruft of no regular figure, compofed of nume¬ rous imbricated leaves of a brown or dark-purple colour, divided info fmall fegments. The margins of the (hields are a little crifped and turned inwards, and their outfide afti-coloured. The lichen is much ufed by the High¬ landers in dyeirig a reddifh brown colour. They fteep it in urine for a confiderable time, till it becomes foft and like a pafte ; then, forming the pafte into cakes, they dry them in the fun, and preferve them for ufe in the manner already related of the tartarius. 9. The parietinus, or common yellow wall-lichen, is very common upon walls, rocks, tiles of houfes, and trunks of trees. It generally fpreads itfelf in circles of two or three inches diameter, and is faid to dye a good yellow or orange colour with alum. 10. The iflandicus, or eatable Iceland lichen, grows on many mountains both of the Highlands and Lowlands of Scotland. It confifts of nearly eredl leaves about two inches high, of a ftiff fubftance when dry, but foft and pliant wdien moift, varioufly divided without order into broad diftant fegments, bifid or trifid at the ex¬ tremities. The upper or interior furface of the leaves is ’ concave, chefnut colour, fmooth, and (hining, but red at the bafe ; the under or exterior furface is fmoofh and whitilh, a little pitted, and fprinkled with very minute black warts. The margins of the leaves and all the fegments from bottom to top are ciliated with fmall, D 2 ftiort, [ 27 1 LIC [ 28 T LI C fhort, ftiff, hair-like fpinules, of a dark chefnut colour, turning towards the upper fide. The fhields are very rarely produced. For the ufes of this as an efculent herb,fee Iceland, n° 10. Made into broth or gruel, it is faid to be very ferviceable in coughs and confumptions; and, according to Haller and Scopoli, is much ufed in thefe complaints in Vienna. ■ 11. The pulmonarius, or lung-wort lichen, grows in ihady woods upon the trunks of old trees. The leaves are as broad as a man’s hand, of a kind,of leather-like fubftanee, hanging loofe from the trunk on which it grows, and laciniated into wide angular fegments. Their natural colour, when freflr, is green; but in drying, they turn firil to a glaucous and afterwards to a fufeous colour. It has an aftringent, bitter tafte; and, ac¬ cording to Gmelin, is boiled in ale in Siberia, inftead of hops. The ancients ufed it in coughs and afthmas, &c. but it is not ufed in modern pra&ice. 12. The calicaris, or beaked lichen, grows fonletimes upon trees, but more frequently upon rocks, efpecially ©n the fea-coads, but is not very common. It is fmooth, gloffy, and whitilh, producing flat or convex fliields, of the fame colour as the leaves,-very near the fummits of the fegments, which are acute and rigid, and, being often reflected from the perpendicular by the growth of the fliields, appear from under their limbs like a hooked beak. This will dye a red colour ; and promifes, in that intention, to rival the famous Lichen Rocolla or Argot, which is brought from the Canary Iflands, and fome- times fold aj; the price of 801. per ton. It was formerly ufed inftead of ftarch to make hair-powder, 13. The pninaftri, or common ragged hoary lichen, grows upon all forts of trees ; but it is generally moft white and hoary on the floe and old palm trees, or lip on old pales. This is the moft variable of the whole tribe of lichens, appearing different in figure, magni¬ tude, and colour, according to its age, place of growth, and fex. The young plants are of a glaucous colour, {lightly divided into fmall acute .crefted fegments. As they grow older, they are divided like a flag’s horn, into more and deeper fegments, fomewhat broad, flat, foft, and pitted on both fides, the upper furface of a glaucous colour, the under one white and hoary.—The male plants, as Linnaeus terms them, are fhort, feldom more than an inch high, not hoary on the under fide ; and have pale glaucous ftiields fituated at the extremi¬ ties of the fegmenta, Handing on fhort peduncles, which are only fmall ftiff portions of the leaf produced.—The female fpecimens have numerous farinaceous tubercles both on the edges of their leaves, and the wrinkles of their furface.—The pulverifed leaves have been ufed as a powder for the hair, and alfo in dyeing yarn of a red colour. 14. The jupiperinus, or common yellow tree-lichen, is common upon the trunks and branches of elms and many other trees. Linnoeus fays it is very common up- qn the juniper. The Gothland Swedes dye their yarn of a yellow colour with it, and give it as a fpecific in the jaundice. 15. The caninus, or afh-coloured ground-liverwort, grows upon the ground among mofs, at the roots of trees in fhady woods, and is frequent alfo in heaths and Atony places. The leaves are large, gradually dilated to¬ wards the extremities, and divided into roundifh eleva- Hdlobss. Their upper fide, in dry weather, is afh-co¬ loured ; in rainy weathdr, of a dull fufeous green co¬ lour ; their under-fide white and hoary, having many thick downy nerves, from which defeend numerous, long, white, pencil-like radicles. The peltae, or fliields, grow at the extremities of the elevated lobes, fhaped like the human nail; of a roundifh oval form, convex above, and concave beneath ; of a chocolate colour oil the upper fide, and the fame colour with the leaves on the under. There are two varieties, the one called rcdd'ijh, and the other many-fingered, ground-liverwort. The former is more common than the other. This fpecies has been rendered famous by the celebrated Dr Mead, who afferted that it was an infallible preventative of the dreadful confequences attending the bite of a mad dog. He directed half an ounce of the leaves dried and pulverifed to be mixed with two drachms of pow¬ dered black pepper. This was to be divided into four dofes, one of which was to be taken by the patient every morning falling, for four mornings fucceifively, in half a pint of warm cow’s milk ; after which he was¬ te ufe the cold bath every morning for a month. It is much to he lamented, however, that the fuccefs of this, medicine, or. indeed any other recommended for the fame purpofe, hath not always anfwered the expec¬ tation. There are inftances where the application has- not prevented the hydrophobia, and it is even uncer¬ tain whether it has ever been inftrumental in keeping off that diforder. 16. The aphthofus,.or green ground-liverwort with black warts, grows upon, the ground at the roots of trees in woods, and other ftoney and moffy places. It differs very little from the foregoing, and according to- fame is only a variety of it. Linnaeus informs us, that the country-people of Upland in Sweden give an infu- flon of this lichen in milk to children that are troubled, with the diforder called the ihrujh or aphtha, which in¬ duced that ingenious naturalift to bellow upon it the trivial name of apthofus. The fame writer alfo tells us, that a decoflion of it in water purges upwards and downwards, and will deftroy worms. 17. The cocciferus, or icarlet-tipped cup-lichen, is. frequent in moors and heaths. It has inthe firft Hate a granulated cruft for its ground, which is afterwards turned into fmall laciniated leaves, green above, and hoary underneath. The plant affumes a very different afpedl, according to the age, fituation, and other ac¬ cidents of its growth; but may be in general readily dillinguilhed by its fructifications, which are fungous tubercles of a fine fcarlet colour, placed on the rim of' the cup, or on the top of the ftalk. Thefe tubercles, fteeped in an alcaline lixivium, are faid to dye a fine du¬ rable red colour. 18. The rangiferinus, or rein-deer lichen, is frequent in woods, heaths, and mountainous places. Its gene¬ ral height, when full grown, is about two. inches. The ftalk is hollow, and very much branched from bottom to tdp : the branches are divided and fubdivided, and at laft terminated by two, three, four, or five very fine, ftiort, nodding horns. The axillae of the branch¬ es are often perforated. The whole plant is of a hoary white or grey colour, covered with white farinaceous particles, light and brittle when dry, foft and elaftic when moift. The fructifications'are very minute, round, fufeous, or reddifli-brown tubercles, which grow on the very extremities of the fineft branches ; but thefe 6 tu* LIC l 29 1 LID likhen tcbercles are very feldom found. The plant feerns H to have no foliaceous ground for the bafe, nor fcarcely lachten- any vifible roots.—Linnxus tells us, that in Lapland k es' this mofs grows fo luxuriant that it is fometimes found a foot high. There are many varieties of this fpecies, of which the principal is the fylvaticus, or brown-tipt rein-deer lichen. The moft remarkable difference be¬ tween them is, that the fylvaticus turns fufeous by age, while the other always continues white. For the ufes of thefe fpecies, fee Lapland. 19. The plicatus, or officinal ftringy lichen, grows on the branches of old trees, but is not very common. The ftalks are a Loot or more in length, cylindrical, rigid, and, ftring-ffiaped, very irregularly branched, the branches entangled together, of a cinereous or afh- colour, brittle and ftringy if doubled fhort, otherwife tough and pliant, and hang pendent from the trees on which they grow. The fhields grow generally at the extremities of the branches, are nearly flat, or flightly concave, thin, afh-coloured above, pale-brown under¬ neath, and radiated with fine rigid fibres. As the plant grows old, the branches become covered with a white, rough, warty cruft; but the young ones are deftitute of it. It was formerly ufed in the fhops as an aftringent to flop hsemorrhagies, and to cure ruptures ; but is out of the modern praftice. Linnxus informs us, that the Laplanders apply it to their feet to relieve the excoriations occafioned by much walking. 20. The barbatus, or bearded lichen, grows upon the branches of old trees in thick woods and pine-forefts. The ftalks or firings are flightly branched and pendu¬ lous, from half a foot to two feet in- length, little big¬ ger than a taylor’s common fewing thread; cylindrically jointed towards the bafe ; but furrounded every where elfe with numerous, horizontal, capillary fibres, either fimple or flightly branched. Their colour is a whitifh green. This has an aftringent quality like the preceding. When fleeped in water, it acquires an orange colour ; and, according to Dillenius, is ufed in Penfylvania for dyeing that colour. 21. The vulpinus, or gold-wiry lichen, grows upon the trunks of old trees, but is not very common. It is produced in ere£l tufts, from half an inch to two inches in height, of a fine yellow or lemon-colour, which readi¬ ly difeovers it. The filaments which compofe it are not cylindrical, but a little comprefled and uneven in the furface, varioufly branched, the gngles obtufe, and the branches ftraggling and entangled one with another. Linnxus informs us, that the inhabitants of Smaland in Sweden dye their yarn of a yellow colour with this lichen ; and that the Norwegians deftroy wolves by fluffing dead carcafes with this mofs reduced to pow¬ der, and mixed with pounded glafs, and fo ekpofing them in the winter-feafon to be devoured by thofe ani¬ mals. LICHFIELD. See Litchfield. LICHTENBERG, a caftle of France, in Lower Alface, and the chief place of a county of the fame name; feated on a rock, near the mountains Vofges, and is looked upon as impregnable. E. Long. 7. 35. N. Lat. 48. 55. LICHTENBURG, a town of Germany, in the eircle of Franconia, and margravate of Cullembach. E. Long. 12. o. N. Lat. 50. 26. LICHTENFELS, a town of Germany, in the circle of Franconia, and bifhopric of Bamberg, featedT Liclittn- on the river Mayne, in E. Long. 11. 10. N. Lat. ftein 50.20. LICHTENSTEIN,a town of Swifferland, in Tock- ,_Ll^el; , erberg, feated on the river Thour. E. Long. 2. 15. N. Lat. 47. 25. LICHTSTALL, an handfome town of Swiflerland, in the county of Bade ; feated on the river Ergetz. In E. Long. 7. 57. N. Lat. 47. 40. LICINIUS Stolo, a famous Roman tribune, ftyled Slo/o on account of a law he made, while tribune, that no Roman citizen ftiould poffefs more than 500 acres of land ; alleging, that when they occupied more, they could not cultivate it with care, nor pull up the ufe- lefs fhoots (Jio/ones) that grow from the roots of trees. He is memorable alfo for enabling, that one of the confuls. Ihould always be of a Plebeian family. He lived about 362 B. C. LICNON,. in the Dionyfian folemnities, the my- ftical van of Bacchus ; a thing fo effential to all the folemnities of this god, that they could not be duly cele*- brated without it. SccDionysia. LICNOPHORI, in the Dionyfian folemnity,, thofe who carried the licnon. LICOLA, or Lago-bi-Licola, a lake in the king¬ dom of Naples, formerly famous for plenty of excellent fiffi; but in the year 1538 an explofion of a volcano changed one part of it into a mountain of affies, and the other into a morafs. It was anciently known by the name of the Lucrine-lake. LICONIA, in botany : A genus of the digynia or¬ der, belonging to the pentandria clafs of plants. There are five petals inlaid in the pit of the ne&arium at its bafe ; the capfule is bilocular and feed-bearing. LICTORS, among the Romans, were ofiicers efta- blifhed by Romulus, who always attended the chief ma- giftrates when they appeared in public. The duty of their office confifted in the three follow- ing particulars : 1. Submotio, or clearing the way for the magiftrate they attended : this they did by word of mouth ; or, if there was occafion, by ufing the rods they always carried along with them. 2. Ammadverfw, or caufing the people to pay the ufual refpedl to tlie magi¬ ftrate, as to alight, if on horfeback or in a chariot ; to, rife up, uncover, make way, and the like. 3. Praitio, or walking before the magiftrates : this they did not con- fufedly, or altogether, nor by two or three abreaft, . but fingly following one another in a ftraight liner They alfo preceded the triumphal car in public triumphs; and it was alfo part of their office to arreft criminals, and to be public executioners in beheading, &c» Their enfigni were the fasces and securis. As to the number of lidlors allowed each magiftrate, a dictator had twenty-four, a mafter of the horfe fix, a conful twelve, a prxto.r fix ; and each veftal virgin, when ftie appeared abroad, had one. LIDD. See Lydd. LIDDEL (Dr Duncan), profeflbr of mathematics, and of medicine in the univerfity of Helmftadt, was born in the year 1561 at Aberdeen, where he received the firft part of his education in languages-andphilofophy. About the age of eighteen he repaired to the univerfity of Franc- fort, where he fpent three years in a diligent application to mathematics and phildfophy. From Francforf he proceeded to Wratiflaw, or Bre-flaw, in Silefia, where Lidfbrd I-iddeJ. LID L 30 ] LID he is faid to have made uncommon progrefs in his fa¬ vourite ftudy of mathematics, under the direction of a very eminent profefibr, Paulus Wittichius. Having ftu- died at Breflaw for the fpace of one year, he returned to Francfort, and remained there three years, paying the moft intenfe application to the ftudy of pbyfic. A con¬ tagious diftemper having broke out at that place, the Undents were difperfed,and Liddel retired to the univer- fity of Roftock. Here he renewed his ftudies, rather as a companion than as a pupil of the celebrated Brucaeus, who, though an excellent mathematician, did not fcruple to confefs that he was inftrudted by Liddel in the more perfect knowledge of the Copernican fyftem, and other aftronomical queftions. In 1590 he returned once more to Francfort. But having there heard of the increafing reputation of the Academia Julia, efcablifiled at Helm- ftadt by Henry duke of Brunfwick, Mr Liddel removed thither ; and foon after his arrival was appointed to the firft or lower profefibrftiip of mathematics. From thence he was promoted to the fecond and more digni¬ fied mathematical chair, which he occupied for nine years, with much credit to himfelf and to the Julian Academy. In 1596 he obtained the degree ofM. D. was admitted a member of that faculty, and began pu¬ blicly to teach phyfic. By his teaching and his writings he was the chief fupport of the medical fchool at Helm- ftadt ; was employed as firft phyfician at the court of Brunfwick, and had much practice among the princi¬ pal inhabitants of that country. Havingbeenfeveral times elected dean of the faculties both of philofophyand phyfic, he had in the year 1604 the honour of being chofen pro- reftor of the univerfity. But neither academical honours, nor the profits of an extenfive praftice abroad, could make Dr Liddel forget his native country. In the year 1600 he took a final leave of the Academia Julia ; and after travelling for fome time through Germany and Italy, he at length fettled in Scotland. He died in the year 1613, in the fifty-fecond year of his age. By his laft will he beftowed certain lands purchafed by him near Aberdeen upon the univerfity there, in all time co¬ ming, for the education and fupport of fix poor fcho- lars. Among a variety of regulations and injun&ions . for the management of this charity, he appoints the magiftrates of Aberdeen his truftees, and folemnly de¬ nounces the eurfe of God on any perfon who (hall abufe or mifapply it. His works are, 1. Difputationes M#di- einales, Helmjladt, 1603, 410. 2. sirs Medico, fuccincte et perfpicue explicata, Hamlurgbi, 1607, 8«o. This per¬ formance is dedicated to king James VI. and is divid¬ ed into five books, viz. Introduilio in totam Medicinam; De Phyjiologia ; De Pathologia ; De Signonem doclrina ; De Therapcutica. 3. De Febribus Lilri tres, Hamburghi, 1610, l2mo. A...Tra8atns de dente aureo,Hamburghi, 1628, 12mo. This laft performance Dr Liddel publiftied in order to refute a ridiculous ftoiy then current of a poor boy in Silefia, who, at feven years of age, having loft fome of his teeth, brought forth, to the aftonifti- ment of his parents, a new tooth of pure gold. Ja¬ cobus Horftius, doctor and profeflbr of medicine in the Academia Julia, at the fame time with our author, had publiftied a book, which he dedicated to the Em¬ peror Rudolphus II. to prove that this wonderful tooth was a prodigy fent from heaven to encourage the Ger¬ mans then at war with the Turks, and foretelling, from this golden tooth, the future vidtories of the Chrif- tians, with the final deftrudtion of the Turkifti empire and Mahometan faith, and a return of the golden age in 1700, preparatory to the end of the world. Theimpof- ture was foon after difcovered to be a thin plate of gold, fkilfully drawn over the natural tooth by an artift of that country, with a view to excite the public admiration and charity. 5. Artis confervandiSanitatem,lihri duo,Aberdonite, 1651, 12mo.; a pofthumous work. The merit of thefc works of Dr Liddel, it is not now neceffary to efti- mate with>precilion. They appear, however, to con-' tain the moft fafhionable opinions and practice, in the medical art, of the age in which he lived ; nor is there almoft any difeafe or medical fubject then known of which he has not treated in one or other of his writings. Of his language it may be fufficient to obferve, that the Latin is at leaft as pure as is generally found among medical writers, and that his ftyle is plain and perfpi- cuous, and fometimes even elegant. LIDFORD, a village of Devonihire in England, fituated on the river Lid, two or three miles eaft of Brent Tor, was formerly a famous town, with a caltle, which was always committed to men of quality, and twice fent burgefles to parliament. It was fadly {bat¬ tered by the Danes in 997: and though now a con¬ temptible village, the parifh may for lands and liberties compare with any in the kingdom, the whole foreft of Dartmore being in the' verge of it. The river here being pent up at the bridge with rocks, has made itfelf fo deep a fall, by its continual working, that paflengers only hear the noife of the water without feeing it. LIDKOPING, a town of Weft Gothland in Swe¬ den, feated on the lake Wenar, in E. Long. 13. 40. N. Lat. 58. zy. LIDNEY, a town of Gloucefterfhire in England, 71 miles from London, is feated on the weft bank of the river Severn, and has a market onWednefdays, with two fairs in the year. In the neighbourhood are the remains of a large Roman encampment, with founda¬ tions of many ancient buildings, among which are the ruins of a Roman hypocauft of an oval form, and Ro- ■ man antiquities and coins are often found here in great number. Mr Bathurft has a fine feat here called Syd¬ ney-Park, with very extenfive woods adjoining. LIE, in morals, denotes a criminal breach of ve¬ racity. —Archdeacon Paley, in treating of this fubieft, obferves, that there are falfehoods which are not lies; that is, which are not criminal: and there are lies which are not literally and dire&ly falfe. I. Cafes of the firft clafs are thofe, 1. Where no one is deceived: as for inftance in parables, fables, novels, jefts, tales to create mirth, or ludicrous embellifhments of a ftory, in which the declared defign of the fpeaker is not to inform, but to divert; compliments in the fubfcription of a letter ; aprifoner’s pleading not guil¬ ty ; an advocate aflerting the juftice, or his belief of the juftice, of his client’s caufe. In fuch inftances no confidence is deftroyed, becaufe none was repofed ; no promife to fpeak the truth is violated, becaufe none was given or underftood to be given. 2. Where the perfon you fpeak to has no right to know the truth, or more properly where little or no inconveniency re- fults from the want of confidence in fuch cafes; as where you tell a falfehood to a madman for his own advantage ; to a robber to conceal your property ; to an affaflin to defeat or to divert him from his purpofe. It is upon this principle, that, by the laws of war, it is allowed to deceive an enemy by feints, falfe colours, 4 fpies. L 1 E [ ; Lie fpies, falfe intelligence, and the like: but, by no means, l. !I ^ in treaties, truces, Cgnals of capitulation, or furrender: ' and the difference is, that the former fuppofe hoftili- ties to continue,. the latter are calculated to terminate or fufpend them. Many people indulge in ferious difcourfe a habit of fiction and exaggeration, in the accounts they give of themfelves, of their acquaintance, or of the extraordi¬ nary things which they have feen or heard ; and fo long as the fails they relate are indifferent, and their narratives though falfe are iuoffenfive, it may feem a fuperititious regard to truth to cenfure them merely for truth’s fake. Yet the practice ought to be check¬ ed : for, in the firft place, it is almoft impoffible to • pronounce beforehand, with certainty, concerning any lie, that it is inoffenfive ; or to fay what ill confe- quences may refult from a lie apparently inoffenfive : And, in the next place, tire habit, when once formed, is eafily extended to ferve the deligns of malice or in- tereft ; like all habits, it fpreads indeed of itfelf. Pious frauds, as they are improperly enough called, pretend¬ ed infpirations, forged books, counterfeit miracles, are impoutions of a more ferious nature. It is poffible that they may fometimes, though feldom, have been fet up and encouraged with a defign to do good: but . the good they aim at requires, that the belief of them fhould be perpetual, which, is hardly poffible ; and the . detection of the fraud is fure to difparage the credit of all pretenfions of the fame nature. Chriftianity has fuffered more injury from this caufe than from all other eaufes put together. II. As there may be falfehoods which are not lies, Jo there may be lies without literal or diredt falfehood. An opening is always left for this fpecies of prevarica¬ tion, when the literal and grammatical fignification of a fentence is different from the popular and cuftomary meaning. It is the wilful deceit that makes the lie ; and we wilfully deceive, when our expreffions are not true, in the fenfe in which we believe tlfe hearer ap¬ prehends them. Befides, it is abfurd to contend for any fenfe of words, in oppofition to ufage ; for all fenfes of all words are founded upon ufage, and upon nothing elfe.. Or a man may acl a lie ; as by pointing his finger in a wrong direction, when a traveller in¬ quires of him his road ; or when a tradefman ffiuts up his windows, to induce his creditors to believe that he is abroad : for to all moral purpofes, and therefore as to veracity, fpeech and action are the fame ; fpeech being only a mode of adtion. LIECHTENAU,,a town of Germany, in the cir¬ cle of Franconia and margrayate of Anfpach, fubjedt to Nurenburg. E. Long. 9. 5. N. Lat. 48. 43. LIEGE {Ligius,) in law, properly fignifies a vaf- fal, who holds a kind of fee, that binds him in a clo- fer obligation to his lord than other people. The term feems to be’ derived from the French Her “tobind on-account of a ceremony ufed in render¬ ing faith or homage : which was by locking the vaffal’s thumb or his hand in that of the lord, to Ihow that he was faff bound by his oath of fidelity. Cujas, Vigenere, and Bignon, choofe rather to derive the word from the fame fource with leudis or leodi, “ loy¬ al, faithful.” But Du Cange falls in with the opi¬ nion of thofe who derive it from //Vi, a kind of vaffals, * fo firmly attached to their lord, on account of lands or i ] LIE fees held of him, that they were obliged to do him all manner of fervice, as if they were his domeltics. He " adds, this was formerly called Utgium fervitiurr,. and the perfon litge. In this fenfe, the word is ufed, Leg. Edw. cap. 29. Judai fab tutela regis Ugea debent ejfe; that is, wholly under his prote&ion. By liege homage, the vaffal was obliged to ferve his lord towards all, and againft all, excepting his father. In which fenfe, the word was ufed in oppofition to fimple homage ; which laft only obliged the vaffal to pay the rights and accuftomed dues to his lord ; and not to bear arms againft the emperor, prince, or other fupe- rior lord : fo that a liege man was a perfon wholly de¬ voted to his lord, and entirely under his command. Omnibus, &c. Regimldus, rex Infularum, falutetn. Sciatis quoddeveni homo ligeus domini regis Anglia Johannis, contra omnes mart ales, quamdiu vixero ; iff inde ei Jidelitatem iff fa- cramentum prajliti, &c. MS. penes W. Dugdale. But it muff be obferved, there were formerly two kinds of liege homage : the one, by which the vaffal was obliged to ferve his lord, againft all, without ex¬ ception even of his fovereign ; the other, by which he was to ferve him againft all, except fuch other lords as he had formerly owed liege homage to. In our old ftatutes lieges, and liege people, are terms peculiarly appropriated to the king’s fubjebls ; as being'liges, ligi, or ligati, obliged to pay allegiance to him; 8 Henry VI. 14 Hen. VIII. &c. though pri¬ vate perfons had their lieges too. Reinaldus, Dei gra¬ tia, abbas Ramefue, prapofito iy hominibus de BranceJIre, iff omnibus vicinis Francis iff Anglis, falutem. Sciatis me dedijfe terr am Ulfe, in depedene (hodie depedale) huic Bofelino, iff uxori ejus Alfuia—-ea conditione quod eJfeSi Jint homines leges. Lib. Ramef. LiEGF.-PouJlie, in Scots law, is oppofed to death¬ bed ; and fignifies a perfon’s enjoying that ftate of health in which only he can difpofe of his property at pleafure'. LIEGE, a biffiopric of Germany, in the circle of Weftphalia; bounded to the north by Brabant, to the fouth by Champagne and Luxemberg, to the eaft by Limburg and Juliers, and to the weft by Brabant, Namur, and Hainault. It is very unequal both in length and breadth; the former being in fome places above 90 miles, in others not half fo much ; and the latter in forpe places 45, in others hardly 25. The air here is very temperate; and the foil fruitful in corn, wine, wood, and pafture. Here alfo are mines of lead and iron, pits of coal, quarries of marble and ftone, and fome celebrated mineral waters, as fhofe of Spa and Chau-fontaine. The principal rivers are, the Maes and Sambre. The manufaftures and com¬ modities of the country are chiefly beer, arms, nails, ferge, leather, with the produbts we have juft men¬ tioned. The ftates of the biftiopric are compofed of. three bodies: the firft is the chapter of Liege; the fecond, the nobility of the country ; and the third, the deputies of the capital and the other towns. The three eftates are feldom called together, except to raife taxes for the fervice of the province, or upon fome particular emergency ; but there is a committee of the ftates, who meet thrice a-week, and in time of war daily. They are always about the prince-bifhop, to make retnonftrances, and demand the redrefs of grievances. The bilhop is fpiritual and temporal lord of LIE t 3- of the vv4iole country; but, as bifhop, is fuffragan to the archbifliop of Cologne. He ftyles himfelf, by the grace of God, bi/hop and prince of Liege, duke of Bou¬ illon, marquis of Franchimont, count of Looz, Hoorn, 8cc. •His arms for Liege are, a pillar argent, on a pede- ftal of the fame, with a crown or, in a field ruby. In the matricula he was formerly rated at 50 horfe and 170 foot; or 1280 florins monthly, in lieu of them, but now only at 826. An abatement of one third has alfo been granted of the ancient affefiment to the chamber-court, which was 360 rix-dollars 621 kruitzers for each term. Here are feveral col¬ leges which fit at Liege, for the government of the country, and the decrfion of caufes, civil, criminal, fpiritual, and feudal, and of fuch alfo* as, relate to the finances. The chapter confifts of 60 perfons, who •muft either prove their nobility for four generations, both by father and mother, before they can be ad¬ mitted : or if they cannot do that, muft at leaft have "been doctors or, licentiates of divinity for feven years, or, of law, for five years, in feme famous univerfity. The bilhopric is very populous and extenfive, contain¬ ing 1500 parilhes, in which are .24 walled towns, be- fides others, 52 baronies, befides counties and feignio- ries, 17 abbeys for men, who muft be all gentlemen, and 11 for ladies, exclufive of others. Liege, the capital of the biflioprre of the fame —name, ftands upon the Maes, in a fine valley, fur- rounded with woods and hills, being a free imperial city, and one of the largeft and moft eminent in Europe. Though it is too miles from the fea by water, the Maes is navigable up to it. The city has 16 gates; 17 bridges, fome of them very handfome ; 154 ftreets, many of them ftraight and broad; a fine epifcopal palace; a very large ftately cathedral, in which, be¬ fides five great filver coffers full of reliques, are feveral lilvcr ftatues of faints, and a St George on horfeback of maffy gold, prefented to the cathedral by Charles the Bold, by way of atonement for ufing the inhabi¬ tants cruelly in the year 1468. Of the other churches, •that of St Paul is the moft remarkable, both for its ftrudlure and fine ornaments in painting and marble. The city is well fortified, and there are alfo two caftles on the mountain of the Holy Walburg for its defence. • Befides a great number of other convents of both fexes, here is a college of Englifh Jefuits, found¬ ed in the year 1616, and a fine nunnery of Engliftr Jadies. Indeed, churches, convents, (and other reli¬ gious foundations, take up the greater part of it. The reader, therefore, no doubt, will take it for granted, that it is a moft bleffed, holy, and happy city. But however it may fare with the profane, un¬ hallowed laity, it is certainly the paradife of priefts, as it is exprefsly called, by way of eminence. It is divided into the old and new, or the upper and lower; and the latter again into the ifland, and the quarter beyond the Maes. The houfes are high, and built of bluilh marble. In the town and fuburbs are 12 public places or fquares, 10 hofpitals, a beguin-houfe, -and two fine keys, planted with feveral rows of trees, for the burghers to take the air ; but a great part of that within the walls is taken up with orchards and vineyards. The manufactures of this city are arms, nails, leather, ferge, and beer. In St William’s convent, without the city, is the tomb of the fara@u» N° 181, T LIE Englifh traveller Sir John Mandeville, with an in* feription in barbarous French, recuefting thofe who read it to pray for his foul. Near it are kept the faddle, fpurs, and knife, that he made ufe of in his travels. After having feen moft of the cities of any note in the world, he made choice of this to fpend the eve of his life in. A little way from the city, on the other fide the Maes, ftands the epifcopal palace of Seraing, in which the bifhops generally refide during the fummer. The latitude of this city is 50. 36. N. and the longitbde 5. 40. E. Some difturbances took place here in the year 1789, in confequence of certain difputes that had arifen be¬ tween the prince-bifhop and the inhabitants. The latter having demanded certain privileges, which he did not think proper to grant, they took up arms, and compelled • him and his chapter to comply with their requeft. The prince, together with many of the clergy, nobility, and citizens, alarmed by this commotion, and dreading the confequences of popular fury, which when once roufed, feldom knows any bounds, fought fafety by a voluntary exile. They then appealed to the imperial -chamber 1 and this tribunal, inftead of acting the part of arbiter, decided as afovereign, and ordered the circles of the Lower Rhine and Weftphalia to execute the fentence. The king of Pruffia, at whofe court one of the chiefs of the infurrefHon had refided, and who wifhed to gain a party at Liege, became mediator •; and feemed to fa¬ vour the Liegoife, many of whofe claims were juft, though they attempted to enforce them by violence and the moft illegal fteps. Intoxicated with this pro- teftion, the people of Liege treated the remonftrances of their bifliop, the decrees of the imperial chamber, and the refolutions of the directory of the two circles, with the utmoft contempt; and proceeded fo far as even to dethrone their prince, by appointing a regent in the perfon of a French prelate. The electoral col¬ lege having deliberated on the beft means of putting an end to thefe difturbances, its propofitions, though mo¬ dified by M. Dohm the Pruflian plenipotentiary, made the infurgents break out into open fedition. Deluded by their leaders, they gave themfelves up every day to new exceffes; the effefts of the citizens were expofed t« pillage, and their perfons to infult. The king of Pruffia, who was defirous to bring matters to an ac¬ commodation, and not, to inftigate the Liegoife to become independent, finding that the efforts of his minifter were not attended with the defired fuccefs, feemeed unwilling to interfere any farther in an affair which might have led him into a quarrel with the em¬ pire. The executive troops, at the fame time, re¬ mained almoft in a ftate of fnaftivity; and feemed ra¬ ther to guard the frontiers of this petty ftate, than to make any attempt to reduce it to obedience. Neither this conduct, however,' nor the exhortations of Pruflia, added to the moral certainty of their being foon com¬ pelled to lay down their arms, made any change in tlic conduct of the malecontents. They declared openly, in the face of all Europe, that they would either con¬ quer or die ; and they perfifted in this refolution, while commerce, manufactures, and the public revenues, were going daily to decay. Having at length openly attacked the executive forces without the territories of their city, the empe¬ ror could no longer remaitf an indifferent fpe&ator. It was LIE T 33 1 LIE Liege, was now full time to put a period to that madnefs to Lie vers t^ie Pe0P^e abandoned themfelves ; and to ’, accomplilh this in an effectual manner, the imperial chamber at Wetzlar requefted the emperor, as a mem¬ ber of the ancient circle of Burgundy, to execute its orders refpefting this objeft. In confequence of this meafure, Baron Alvinzi, who commanded a body of Auftrians cantoned in Limburgh and the confines of Brabant, notified, by order of Marlhal Bender, to the ftates and municipality of Liege, that the em¬ peror intended to fend troops into their city and terri¬ tories, for the purpofe of reftoring tranquillity and good order. The ftates had already been informed of this refolution by their agent at Wetzlar. They there¬ fore wrote to Marlhal Bender, to affure him of the refpeftful confidence which they placed in the jullice and magnanimity of the emperor, and to requeft that the Auftrian troops might enter alone, without thofe ef the electors ; and that they might be confined to occu¬ py the gates and the fuburbs only. To this letter, which was carried to Bruflels by a deputation of the ftates, Marihal Bender returned a very fatisfaftory anfwer, re¬ lating to the difpofition of the eleftoral troops: but Baron Alvinzi, in a note which he wrote to the ftates, infifted among other articles, that all the citizens fliould throw down their arms; that proper accommodations fhould be prepared for the officers and men ; that the warlike ftores, collected for making refiftance, fliould . be removed ; and that cockades, and every other di- ftin&ive mark of the like kind, ftiould be laid afide be¬ fore the arrival of the Imperial troops. However hu¬ miliating thefe preliminaries might be, efpecially that of a general difarming, the ftates and municipalities ac- quielced without the leaft referve ; and their fubmiffion, as fudden as complete, was communicated to the people, with an exhortation to follow their example. Notwithftanding this pacific appearance, two days before the entrance of the Imperial troops, the muni¬ cipal council of Liege, flattering themfelves, perhaps,. with the hopes of affiftance from Pruffia, affured the inhabitants that they would remain unftiaken in their poft, and that they had fworn never to defert the caufe in which they were engaged. This, however, did not prevent the Auftrian troops, to the number of 6000, from penetrating, without oppofition, into the heart of the city ; where they occupied every poft; made the citizens lay afide their arms, uniforms, and cock¬ ades ; and, in a Angle hour, dethroned fo many fove- reigns of a year. The greater part of the municipal officers, who, two days before, had folemnly promifed fuch great things, betook themfelves to flight, and re¬ tired either to France or Wefel; while the ancient magiftracy, which had been expelled in the month of Auguft 1789, was provifionally re-inftated by the di- reftorial commiffioners.—The decrees of the imperial chamber at Wetzlar have fince been executed in their -utmoft extent. The ancient magiftracy and the privy- council of the prince bifliop have been reftored; and the prince himfelf having returned, peace and good order have been re-eftablilhed. L1ENTERY, a flux of the belly, in which the aliments are difcharged as they are fwallowed, or very little altered either in colour or fubftance. See (Index fubjoinedto) Medicine. LIEVENS (John or Jan), a celebrated painter, was Vou X. Part L born at Leyden in 1607. He dilcovered an early in- Lieou- clination for the arts, and was the difciple firft of Joris K>C811' van Schooten, and afterwards of Peter Laftman. He v excelled principally in painting portraits; but he alfoexe- cuted feveral hiftorical fubjefts with great fuccefs. He came over into England, where he refided three years, and painted the portraits of Charles I. the queen, the prince of Wales, and feveral of the nobility; after which he returned to Antwerp, where he met with full employment for his pencil. We have feveral etch¬ ings by this mafter, which are performed in a flight, but mafterly manner. The chiaro fcuro is very flril- fully managed in them, fo as to produce a mpft power¬ ful effeft. His ftyle of etching bears fome refemblance to that of Rembrandt; but it is coarfer in general, and lefs finiftied. LIEOU-KIEOU, the name of certain iflands of Afia, fubjeft to China; but hitherto little known to geographers, who have been fatisfied with marking their exiftence and latitude' in their charts. They, however, form a powerful and extenfive empire, the inhabitants of which are civilized, and ought not to be confounded with other favage nations difperfed throughout the iflands of Afia. Father Gabil, a Je- fuit, has furnilhed us with fome interefting details rc- fpe£ting thefe iflanders, which he extraded from a Chinefe relation, publiftied in 1721, at the end of a voyage that was undertaken on the following account. The emperor Kang-hi having refolved, in 1719, to fend an ambaflador to the king of Lieou-kieou, chofe for this purpofe one of the great doctors of the em¬ pire, named Supao-Koang. This learned man depart¬ ed from China in 1719, and returned to Peking in 1720, where, in the year following, he caufed a rela¬ tion of his voyage to be publiftied in two volumes. It is in the firft of thefe that he gives an accurate and particular defcription of the ifles of Lieou-kieou; and what he relates appears to be worthy of the greater credit, becaufe, being on the fpot, he examined, as he him¬ felf fays, according to the orders of the emperor, what- everjie found curious or interefting, refpe&ing the num¬ ber, fituation, and productions of thefe ifles; as all* the hiftory, religion, manners, and cuftoms of the people who inhabit them. Thefe ifles, fituated between Corea, Formofa, and Japan, are in number 36. The principal and largeft is called Lieou-kieou ; the reft have each a particular de* nomination. The largeft ifland extends from north to fouth almoft 440 lys, and 120 or 130 from eaft to weft ; but on the fouth fide, the extent from eaft to weft is not 100 lys. The fouth-eaft part of the ifland, where the court refides, is called Cheouli; and it is there that Kint-ching, the capital city, is fituated. The king’s palace, which is reckoned to be four leagues in /cum- ference, is built on a neighbouring mountain, it has four gates, which correfpoud to the four cardinal points; and that which fronts the weft forms the grand entry. The view which this palace commands is moft extenfiv# and delightful; it reaches as far as the port of Napa- kiang, at the diftance of ten lys, to the city of Kint- ching, and to a great number of other cities, towns, villages, palaces, temples, monafteries, gardens, and pleamre-houfes. It ftands in longitude 146° 26' eaft, and in latitude 26° 2' north. If we believe thefe iflanders, the origin of their em- E . pure L I E pire is lo-ft in the remoteft antiquity. 25 fuceeffive dynafties, the duration of which forms period of more than 18,000 years. It would be ufe- lefs to employ a fmgle moment in pointing out the ab- furdity of thefe pretenfions. It is however certain, that the exiftence of the country called Lieou-kieou was not known in China before the year 605 of the Chri- ftian sera. It was in the courfe of that year, that one of the emperors of the dynally of Soui, having heard of thefe ifles, was defirous of knowing their fituation. This prince at fir It fent fome Chinefe thither ; but their expedition proved fruitlefs, as the want of inter¬ preters prevented them from acquiring that knoTedge which was the objeft of their voyage. They only brought fome of the iflanders with them to -Sigan-fou, the capital of the province of Chen-fi, which was the ufual refidence of the emperors of the dynafty of Soui. It fortunately happened, that an embafiador of the king of Japan was then at court. This ambaflador and his attendants immediately knew the ftrangers to be na¬ tives of Lieou-kieou ; but they fpoke of thefe ifles as of a miferable and wretched country, the inhabitants of which had never been civilized. The emperor of'China afterwards learned, that the principal ifland lay to the call of a city called at prefent Fou-tcheou-fou, which is the capital of the province of Fo-kien ; and that, in a paffage of five days, one might reach the large ifland where the king kept his court. On this information, the emperor Yang-ti fent flcil- ful men, accompanied by interpreters, tp fummon the prince to do homage to the emperor of China, and to pay him tribute. This propofal was very ill received. The king of Lieou-kieou fent back the Chinefe, telling them, fternly, that he acknowledged no prince to be his fuperior. This anfwer irritated the emperor, who, to obtain revenge, caufed a fleet to be immediately equipped in Fo-kien, in which he embarked ia,ooo men. This fleet fet fail, and arrived in fafety at the port of Napa-kiang. The army, in fpite of every effort made by the natives, landed on the ifland; and the king, who had put himfelf at the head of his troops to oppofe the enemy, having fallen in battle, the Chinefe pillaged, facked, and burnt the royal city, made more than 5000 flaves, and returned to China. The emperors of the dynafty of Tang, thofe of tire fl.ort dynafties that followed, and thofe of the dynafty «f Song, although they were fully informed of every [ 34 1 LIE They reckon up commiffion, and he acquitted himfelf of it with all the 1 prudence and addrefs of an able minifter. In a private * audience which he had with Tfay-tou, he exhorted this prince to declare himfelf a tributary of the empire, and laid before him the advantages he would derive from this ftep. His reafonihg, fupported by the pow¬ er of his natural eloquence, made fo much impreflioa on the mind of Tfay-tou, that he embraced the propo¬ fal made him, and fent immediately to the emperor to demand the inveftiture of his ftates. Hong-vou received his envoys in a magnificent man¬ ner, and loaded them with prefents. He folemnly de¬ clared Tfay-tou a vafial of the empire; and, after ha¬ ving received his firft tribute (which confifted in valu¬ able hones, aromatic wood, fulphur, copper, tin, &c.) he fent to this prince a golden feal, and confirmed the choice he had made of one of his fons for fucceflbr. The emperor afterwards fent 36 families, almoft all from the province of Fo-kien to Lieou-kieou. Tfay- tou received them, affigned them lands near the port of Napa-kiang, and appointed certain revenues for their ufe, at the fame time that Hong-vou made them con- fiderable remittances. Thefe families firft introduced into Lieou-kieou the learned language of the Chinefe, the ufe of their chara&ers, and the ceremonies practi- fed in China in honour of Confucius. On the other hand, the fons of feveral of the grandees of the court of Tfay-tou were fent to Nan-king, to ftudy Chinefe in the imperial college, where they were treated with diftinftion, and maintained at the emperor’s expences. The ifles of Lieou-kieou had neither iron nor por¬ celain. Hong-vou fupplied this want; he caufed a great number of utenfils of iron and inftruments to be made, which he fent thither, together with a quantity of porcelain veflels. Commerce, navigation, and the arts foon began to flourifli. Thefe iflanders learned to caft bells for their temples, to manufacture paper and the fineft ftuffs, and to make porcelain, with which they had been fupplied before from Japan. The celebrated revolution which placed the Tartars on the imperial throne of China, produced no change in the conduct of the kings of Lieou-kieou. Chang- tche, who was then reigning, fent embafladors to ac¬ knowledge Chun-tchi, and received a feal from him, on which were engraven fome Tartar characters. It was then fettled, that the king of Lieou-kieou fliould pay _ , j hi»-tribute only every two years, and that the number thingrefpeCting the Lieou-kieou ifles, made no attempts of perfons in the train of his envoys fliould not exceed to render them tributary. In 1291, Chi-tfou, empe- 150. ros of the dynafty of Yven, was defirous of reviving the pretenfions of his predeceffors. He fitted out a fleet to fubdue thefe iflands ; but fchemes of conqueft had become difagreeable to the Chinefe, fince the difafter that befel their army in an expedition againft Japan. The fleet of Chi-tfou went no farther than the ifles of Pbng-hou, and the weftern coaft of Formofa, from whence, under divers pretences, they returned to the ports of Fo-kien. The emperor Kang-hi feemed to pay more atten¬ tion to thefe ifles than any of his predecefibrs. He caufed a fuperb palace to be ereCted in honour of Con¬ fucius, and a college where he maintained matters to teach the feiences and the Chinefe characters. He al- fo inftituted examinations for the different degrees of the literati. He ordained, that the king of Lieou- kieou fhould never fend in tribute rofe-wood, clovesT or any other production which was not really of the It was only in 1372, under the reign of Hong-vou, growth of the country; but that he fliould fend a founder of the dynafty of Ming, that thefe iflands fub- fixed quantity of fulphur, copper, tin, {hells, and mo- mitted voluntarily to the Chinde government. Hong- ther of pearl, which is remarkably pretty in thefe vou had fent one of the grandees of his court to Tfay- iflands. He permitted, that, befides the ufual tribute, tou, who. was then reigning at Lieou-kieou, to inform he might prefent him horfe-furniture, piftol-cafes, and him of his acceflion to the throne. The Chinefe noble- other things of the fame kind, which thefe iflanders man had received particular inftruCtions refpeCting this are faid to manufacture with great tafte and neatnefs. It LIE [ 35 ] LIE 1>gu* it Is more than 900 years fmce the bonzes of Chi- Kieou, na Introduced at Lieou-kieou the worfhip of Fo, and the principal books belonging to their fe£t. This worlhip is at prefent the eftablilhed religion both of the grandees and of the people. There is ftill to be feen in the royal city a magnificent temple, erected in honour of another idol borrowed from the Chinefe, named Tfin-fey, which fignifies cehjlial queen or lady. Thefe iflanders do not make promifes or fwear be¬ fore their idols. When they have occafion to do this, they burn perfumes, prefent fruits, and Hand refpeft- fuliy before fome ftone, which they call to witnefs the folemnity of their engagements. Numbers of ftones are to be feen in the courts of their temples, in moll public places, and upon their mountains, which are en¬ tirely appropriated to this purpofe. They have alfo among them women confecrated for the worlhip of fpirits, who are fuppofed to have great influence over thefe beings. They vifit the lick, diftribute medi¬ cines, and recite prayers for their recovery. They refpeft the dead as much as the Chinefe, and they are no lefs ceremonious in wearing mourning; but their funerals are neither fo pompous, nor attended with fo much expence. Their coffins, which are of an hexagonal or ^diagonal figure, are three or four feet high. They burn the flelh of the bodies of their dead, and preferve only the bones. They never offer pro- vifions to them ; they are contented with placing lamps round them, and burning perfumes. Different families are diltinguilhed in Lieou-kieou by furnames, as in China; but a man and a woman of the fame furname cannot be united in marriage. The king is not permitted to marry but in the three grand fa¬ milies, which always enjoy the higheft offices. There is a fourth, of equal diftinction to the three former ; but neither the king nor the princes contract any alliances with this family ; for it is doubtful, whether it be not fprung from the fame Item as the royal line. A plurality of wives is allowed in thefe illes. Young men and young women enjoy the liberty of feeing one another, and ofconverfing together ; and their union is always in confluence of their own choice. < The wo¬ men are very referved ; they never ufe paint, and wear no pendants in their ears ; they colledt their hair on the top of their heads in the form of a curl, and fix it in that manner by means of long pins made of gold or filver. Befides the vaftdomains which the king poffeffes, he receives the produce of all the fulphur, copper, and tin- mines, and of the falt-pits, together with what arifes from taxes. From thefe revenues he pays the falaries of the mandarins and officers of his court. Thefe fala¬ ries are eftimated at a certain number of facks of rice ; but under this name is comprehended whatever the king gives in grain, rice, filk, cloth, &c. The whole is va¬ lued according to the price of the facks of rice. There are here, as In China, nine orders of manda¬ rins, who are diftinguilhed by the colour of their caps, or by their girdles and cuftiions. The greater part of the titles of thefe mandarins are hereditary in their families ; but there are fome which are only bellowed upon merit. In the royal city there are tribunals efta- blilhed for managing the revenue and affairs of the prin¬ cipal illand, and of all the others which are dependent on it. The latter have agents, who refide at court. Lleutaui, There are alfo particular tribunals for civil and criminal Lieutenant.- matters ; for whatever concerns the families of the gran- '-"""V—"”' dees and princes ; for the affairs of religion ; for in- fpedting the public granaries, king’s revenues, duties ; for commerce, manufadtures, civil ceremonies, and for navigation, public edifices, literature, and war. The veffels that are built in this country are greatly valued by the people of China and Japan. In thefe the natives go not only from one ifland to another, but alfo to China, Tong-king, Cochinchina, Corea, Nanga- za-ki, Satfuma, the neighbouring ifles, and to Formofa, where they difpofe of their different commodities. Be¬ fides thofe articles of commerce which their manufac- turies of filk, cotton, paper, arms, copper utenfils, &c. furniih them, they alfo export mother of pearl, tortoife and other fhells, coral and whet-ftones, which are in great requeft both in China and Japan. LIEUTAUD (Dr Jofeph), counfellorof ftate and firft phyfician at the court of France, was born at Aix in Provence, and refided principally there till he took the degree of dodtor of medicine. After this he profe- cuted his ftudies for fome years at Montpelier. He returned to Aix, where he foon acquired extenfive pradtice, and became eminent for literary abilities. He refided there till the year 1750, when he was invited to adt as phyfician to the royal infirmary at Ver- failles. There he pradtifed with fuch reputation and fuccefs, that he foon arrived at the head of his pro- feffion ; and in the year 17 74, upon the death of M. Senac, he was appointed archiater. His extenfive en-* gagements in pradtice did not prevent him from culti¬ vating the fcience of medicine in all its branches, and from freely communicating to others the refult of his own ftudies. He publhhed many valuable works; a- mongft which the following may be accounted the molt remarkable. 1. Elementa Pbilologia. 2. Precis de la Medecine. 3. Pratique Precis de la Maticre Medicale. 4. EJfais Atiatomique. 5. Synopjis Univerfa Praxeos Medicines. 6. Hijloria Anatomico-Medica. He died at Verfaillesin 1780, aged 78 years. LIEUTENANT, an officer who fupplies the place and difcharges the office of a fuperior in his abfence. Of thefe, fome are civil, as the lords lieu¬ tenants of kingdoms, and the lords-lieutenants of counties ; and others are military, as the lieutenant- general, lieutenant-colonel, &c. Lord Lieutenant of Ireland, is properly a viceroy ; and has all the ftate and grandeur of a king of Eng¬ land, except being ferved upon the knee. He has the power of making war and peace, of bellowing all the offices under the government, of dubbing knights, and of pardoning all crimes except high treafon ; he alfo calls and prorogues the parliament, but no bill can pafs without the royal affent. He is affifted in his government by a privy-council; and, on his lea¬ ving the kingdom, he appoints the lords of the re¬ gency, who govern in his abfence. Lord Lieutenants of Counties, are officers, who* upon any fnvafion or rebellion, have power to raife the militia, and to give commiffions to colonels and other officers, to arm and form them into regiments* troops, and companies. Under the lord-lieutenants, are deputy-lieutenants, who have the fame power-; E 2 thefe LIE [ 36 ] L I F iiieuteijaat. thefe are chofen by the lords-lieutenants, out of the l"" principal gentlemen of each county, and prefented to the king for his approbation. LiEUTENANT-Colonel. See Colonel. LiEvrENAXr-General. See General. Lieutenant, in the land-fervice, is the fecond eommiffioned officer in every company of both foot and horfe, and next to the captain, and who takes the command upon the death or abfence of the captain. Lieutenant of Artillery. Each company of ar¬ tillery hath four; 1 firil and 3 fecond lieutenants. The hril lieutenant hath the fame detail of duty with the captain ; becaufe in his abfence he commands the company : he is to fee that the foldiers are clean and neat; that their clothes, arms, and accoutrements, are in good and ferviceable order ; and to watch over every thing elfe which may contribute to their health. He muft give attention to their being taught the exercife, fte them punftually paid, their meffes regularly kept, and to vifit them in the hofpitals when fick. He muft affift at all parades, &c. He ought to underftand the doctrine of projectiles and the fcience of artillery, with the various eftedts of gun-powder, however managed ' or directed; to enable him to conftruCt and difpofe his batteries to the bell advantage ; to plant his can¬ non, mortars, and howitzers, fo as to produce the greateft annoyance to an enemy. He is to be well ikilled in the attack and defence of fortified places ; and to be converfant in arithmetic, mathematics, mecha¬ nics, &c. Second Lieutenant in the Artillery, is the fame as an enfign in an infantry regiment, being the youngeft commiffioned officer in the company, and muft affift the firft lieutenant in the detail of the company’s duty. His other qualifications ffiould be equal with thofe of the firft lieutenant. Lieutenant of a jhip of IVar, the officer next in rank and power to the captain, in whofe abfence he is accordingly charged with the command of the Ihip, as alfo the execution of whatever orders he may have re¬ ceived from the commander relating to the king’s fer- tice. The lieutenant who commands the watch at fea, keeps a lift of all the officers and men thereto belong¬ ing, in order to mufter them when he judges it expe¬ dient, and report to the captain the names of thofe who are abfent from their duty. During the night-watch, he occafionally vifits the lower decks, or fends thither a careful officer, to fee that the proper centinels are at their dtity, and that there is no diforder amongft the saen ; no tobacco fmoked between decks, nor any fire or candles burning there, except the lights which are in lanthorns, under the care of a proper watch, on par¬ ticular occafions. He is expected to be always upon deck in his watch, as well to give the neceffary orders with regard to trimming the fails and fuperintending the navigation, as to prevent any noife or confufion ; but he is never to change the flap’s courfe without the cap¬ tain’s direftions, unlefs to avoid an immediate dan- The lieutenant, in time of battle, is particularly to fee that all the men are prefent at their quarters, where they have been previoufiy ftationed according to the regulations made by the captain. He orders and. exhorts them every where to perform their duty ; and acquaints the captain at all other times of the mif- Lieufena«I; behaviour of any perfon in the Ihip, and of whatever -1' fe~ elfe concerns the fervice or difcipline. * The youngeft lieutenant in the ffiip, who is ffifo ftyled lieutenant at arms, befides his common duty, is. particularly ordered, by his inftruAions, to train the feamen to the ufe of fmall arms, and frequently to ex¬ ercife and difcipline them therein. Accordingly his office, in time of battle, is chiefly to direct and attend them ; and at all other times to have a due regard to the prefervation of the fmall arms, that they be not loft or embezzled, and that they are kept clean and in good condition for fervice. LiEUTENANT-Reformed, he whofe company or troop is broke or dilbanded, but continued in whole or half¬ pay, and ftill preferves his right of feniority and rank in the army. LIFE, is peculiarly ufed to denote the animated ftate of living creatures, or the time that the union of their foul and body lafts. The Prolongation of Life is made by Lord Bacon one of the three branches of medicine ; the other two re¬ lating to the prefervation of health, and the cure of difeafes. See Medicine. The theory of prolonging life he numbers among the defiderata. Some means or indications that feem to lead to it, he lays down as follow. Things are preferred in two manners; either in their | identity, or by reparation. In their identity ; as a fly or ant in amber ; a flower, or fruit, or wood", in a con- fervatory of fnow; a dead carcafe in balfams. By reparation ; as a flame, or a mechanical engine, See. To attain to the prolongation of life, both thefe methods muft be ufed. And hence, according to him, arife three intentions for the prolongation, of life : Retarda¬ tion of confumption, proper reparation, and renovation of what begins to grow old. Cbnfumption is occafioned by two kinds of depreda¬ tion ; a depredation of the innate fpirit, and a depre¬ dation of the ambient air. Thefe may be each pre¬ vented two ways; either by rendering thofe agents lefs predatory, or by rendering the paffive parts [viz. the juices of the body) lefs liable to be preyed on. The' fpirit will be rendered lefs predatory, if either it's'fub- ftance be condenfed, as by the ufe of opiates, grief, See.; or its quantity diminifhed, as in fpare and mo- naftic diets; or its motion calmed, as in idlenefs and tranquillity. The ambient air becomes lefs predatory, if it be either lefs heated by the rays of the fun, as in cold climates, in caves, mountains, and anchorets cells ; or be kept off from the body, as by a denfe Ikin, the feathers of birds, and the ufe of oils and unguents with¬ out aromatics. The juices of the body are rendered lefs liable to be preyed on, either by making them harder or more moift and oily ; harder, as by a coarfe fharp diet, living in the cold, robuft exercifes, and fome mineral baths : moifter, as by the ufe of fweet foods, &c. abftaining from falts and acids ; and efpecially by fuch a mixture of drink as confifts wholly of fine fub- tile particles, without any acrimony or acidity. Reparation is performed by means of aliment; and. alimentation is promoted four ways: By the conco&ion of the vifcerft, fo as to extrude the aliment: By exciting the exterior parts to the attraftion of the aliment; as in proper exercifes and frications, and fome undtions and L I G [ 37 ] L I G Life, I-igature. and baths :. By the preparation of the food itfelf, fo as it may more eafily infmuate itfelf, and in fome meafure anticipate the digeftion ; as in various ways of dreffing meats, mixing drinks, fermenting breads, and reducing the virtues of thefe three into one : By promoting the a6t of affimilation itfelf, as in feafonable fleep, fome ex¬ ternal application, &c. The renovation of what begins to grow old, is per- formcd two ways : By the inteneration of the habit of the body ; as in the ufe of emollients, emplafters, unc¬ tions, &c. of fuch a nature, as do not extract but im- prefs : Or'by purging off the old juices, and fubllitu- ting frefh ones ; as in feafonable evacuations, attenua¬ ting diets, &c. The fame author adds thefe three axioms: That the prolongation of life is to be expected, rather from fome ftated diets, than either from any ordinary regimen or any extraordinary medicines ; more from operating on the fpirits, and mollifying the parts, than from the manner of feeding ; and this mollifying of the parts without is to be performed by fubftantials, impriments, and occludents. See Longevity. Vegetable Life. See Plants. Life-Rent, in Scots law. When the ufe and enjoy¬ ment of a fubject is given to a perfon during his life, it is faid to belong to him in life-rent. LIGAMENT, in its general fenfe, denotes.any thing that ties or binds one part to another. Ligament, in anatomy, a ftrong compaft fubftance, ferving to join two bones together. See Anatomy, n° 7- LIGARIUS (Quintus), a Roman proconful in Africa, 49 B. C. Taking part with Pompey, he was forbid by Julius Csefar to return to Rome: to obtain his pardon, Cicero made that admired oration in his defence which has immortalized the memory of the client with that of his celebrated advocate. LIGATURE, in furgeiy, is a cord, band, or firing; or the binding any part of the body with a cord, band, fillet, &c. whether of leather, linen, or any other matter. Ligatures are ufed to extend or replace bones that are broken or dillocated ; to tie the patients down in lithotomy and amputations ; to tie upon the veins in phlebotomy, on the arteries in amputations, or in large wounds ; to fecure the fplints that are applied to frac¬ tures ; to tie up the precedes of the peritoneum with the fpermatic veffeis in caftration; and, laflly, in taking off warts or other excrefcences by ligature, Ligature, is alfo ufed to fignify a kind of bandage or fillet, tied round the neck, arm, leg, or other part of the bodies of men or beads, to divert or drive off fome difeafe, accident, &e. Ligature is alfo ufed for a ftate of impotency, in refpecl to venery, pretended to be caufed by fome charm or witchcraft. Kaempfer tells of an uncommon kind of ligature or knotting, in ufe among the people of Maffacar, Java, Malaja, Siam, &c. By this charm or fpell, a man hinds up a woman, and a woman a man, fo as to put it out of their power to have to do with any other perfon ; the man being thereby rendered impotent to any other woman, and all other men impotent with refpedl to the woman. Some of their philofophers pretend, that this liga- Idcature, ture may be effedted by the fhutting of a lock, the drawing of a knot, or the flicking of a knife in the wall, v ^ at the point of time wherein the prieil is joining a couple together; and that a ligature, thus effedted, may be dilfolved, by the fpoufe s urining through a ring. This piece of fuperftition is faid to obtain alfo among the Chriftians of the Eaft. The fame author tells us, that during the ceremony of marriage in Raffia, he obferved an old fellow lurking behind the church-door, and mumbling over a ftring. of words; and, at the fame time, cutting a long rod, which he held under his arm, into pieces; which, it feems, is a common pradlice at the marriages of great . perfons, and done with defign to elude and counterr work any other perfon that might poffibly be inducing' the ligature. The feeret of inducing a ligature is delivered by the fame author, as he was taught it on the fpot by one of their adepts: but it is too abfurd and obfeene to deferve being tranferibed here. M. Marfhal mentions a" ridiculous, form of ligature,, which he received,from a bramin at Indoftan : “ If (fays he) the little worm in the wood lukerara kara be cut into two, and the one part ftirs and the other not, if the ftirring part be bruifed, and given with half a beetle to a man, and the other half to a woman, the charm will keep each from ever having to do with any other perfon.” Phil. Tranf. N3 268. Ligature, in. the Italian mufic, fignifies a tying or binding together of notes. Hence fyncopes are often called ligatures, becaufe they are made by the ligature of many notes. There is another fort of ligatures for breves, when there are many of thefe -on different lines, dr on different fpaces, to be fung to one fyllable. Ligatures, among printers, are types confifting of two letters or characters joined together; as 9, Jl, Ji. The old editions of Greek authors are extreme¬ ly full of ligatures; the ligatures of Stephens are by much the moil beautiful. — Some editions have been lately printed without any ligatures at all; and there was a defign to explode them quite out of printing. Had this fucceeded, the fineft ancient editions would1 in time have grown ufelefs; and the reading of old- manuferipts would have been rendered almoft impradli- cable to the learned themfeives. LIGHT, in the moil common acceptation of the word, fignifies that invifible etherial matter which makes- objects perceptible to our fenfe of feeing. Figurative¬ ly, it is alfo ufed for whatever conveys inftrudlion to- our minds, and likewife for that inllruction itfelf. The nature of light hath been .a fubjedl of fpecula- opinions- tlon from the earlieil ages of philofophy. Some of of the fir fir. thofe firft diftinguiihed by the appellation of philofo-'- phers even doubted whether objedls became vifible by, V*ler.s COB*' means of any thing proceeding from them,, or from*^™® the eye of the fpe&ator. The fallacy of this notion mutt very foon have been apparent, becaufe, in that cafe, we ought to have feen as well in the night as in the day. The opinion was therefore qualified by Em¬ pedocles and Plato; who maintained, that vifion was- occafiofied by particles continually flying off from the; furfaces of bodies, which met with others proceeding; from. L I G [ 38 ] L I G Light, from the eye; but Pythagoras afcribed it folely to the particles proceeding from the external objefts and entering the pupil of the eye. Among the modern philofophers there have been two celebrated opinions, viz. the Cartefian and New¬ tonian. According to the former, light is an invifible fluid prefent at all times and in all places, but which requires to be fet in motion by an ignited or otherwife properly qualified body in order to make objefts vi- Of Sir Ifaac ^je to us.—The Newtonians maintain, that light is ewton. not ^ conp,^8 Qf a vafl. nuTnber 0f ex_ ceedingly fmafl particles fhakcn off in all directions from the luminous body with inconceivable velocity by a repulfive power ; and which moil probably never return again to the body from which they were emit¬ ted. Thefe particles are alfo faid to be emitted in right lines by the body from whence they proceed: and this reCtilinear direction they preferve until they are turned out of their original path by the attraction of fome other body near which they pafs, and which is called infledlon; by palling through a medium of different denfity, which is called refraBion, or by be¬ ing thrown obliquely ordireCtly forward by fome body which oppofes their palfage, and which is called re- AeSion; or, laflly, till they are totally flopped by the fubftance of any body into which they penetrate, and which is called their extinBion. A fucceflion of thefe particles following one another in an exaCtly ftraight line is called a ray of light; and this ray, in whatever manner it hath its direction changed, whether by re- fraCtion, reflection, or inflection, always preferves its reCtilinear courfe; neither is it poffible by any art what¬ ever to make it pafs on in the fegment of a circle, el- lipis, or other curve. —From fome obfervations on the eclipfes of Jupiter’s fatellites, and alfo on the aberration of the fixed liars, it appears that the particles of light move at the rate of little lefs than 200,000 miles in a 4 fecond of time. See AsTRQNOMY-/n That in this cafe, as rays of light are con¬ tinually palling in different directions from every vi- fible point, they mufl necefiarily interfere with and de- flroy each other in fuch a manner as entirely to con¬ found all dillinCt perception of objeCts, if not to de- flroy the fenfe of feeing altogether; not to mention the continual wafle of fubftance which a conftant emif- fion of particles muft occafion in the luminous body, and which fince the creation ought to have greatly di- minilhed the fun and ftars, as well as increafed the bulk of the earth and planets by the vaft quantity of par¬ ticles of light abforbed by them in Inch a long period 5 of time. Anfwer by In anfwer to this objection, Mr Melville gives fome vhle^*" ingenious illuftrations concerning the extreme fubtilty 1 e' of light, or the fmallnefs of the particles of which it confifts, and of which few perfons, even of thofe who admit the hypothefis, have any idea. He obferves, that there is probably no phyfical point in the vifible horizon that does not fend rays to every other point, unlefs where opaque bodies interpofe. Light, in its palfage from one fyftem to another, often palfes thro’ torrents of light iffuing from other funs and fyftems, without ever interfering or being diverted in its courfe, either by it, or by the particles of that elaftic medium 4 Of Des Cartes. 3 which fome phenomena give us reafon to fuppofe are diffufed through all the mundane fpace. To ac- w—< count for this faCt and others fimilar to it, he con¬ cludes, that the particles of which light confifts muft be incomparably rare, even when they are the moft denfe; that is, that the femidiameters of the two neareil par¬ ticles, in the fame or in different beams, foon after their emiffion, are incomparably lefs than their diftance from one another. This difficulty concerning the non¬ interference of the particles of light is not folved, as he obferves, by fuppofing with Mr Bofcovich and others, that each particle is endued with an infuper- able impulfive force; becaufe, in that cafe, their fphere* of impulfion would even be more liable to interfere, and they would on that account be more likely to dilturb one another. g The difficulty, according to Mr Canton, will nearly ByMrSai*. vanifh, if a very fmall portion of time be allowed be- ton. tween the emiffion of every particle and the next that follows in the fame direction. Suppofe, for inftance, that one lucid point of the fun’s furface emits 150 par¬ ticles in a fecond, which are more than fufficient to give continual light to the eye without the leaft ap¬ pearance of intermiffion; yet ftill the particles of which it confifts, will on account of their great velo¬ city be more than 1000 miles behind each other, and thereby leave room enough for others to pafs in all di¬ rections. y In order to determine whether light really confifts Expeii- of particles emitted from the luminous body, or only in ments to the vibrations of a fubtile fluid, it has been attempted ‘^e™'ne to find out its momentum, or the force with which it nientuin of moves. The firft who fet about this matter with any light, tolerable pretenfions to accuracy was M. Mairan. O- 8 thers indeed, particularly Hartfocker and Homberg, had pretended, that in certain cafes this momentum was very perceptible ; but M, Mairan proved, that the effeCts mentioned by them were owing to currents of beated air produced by the burning-glaffes ufed in their experiments, or to fome other, caufes overlooked by thefe philofophers. To decide the matter therefore, if poffible, he began with trying the effeCls of rays col¬ lected by lenfes of four and fix inches diameter, and thrown upon the needle of a compafs; but the refult was nothing more than fome tremulous motion from whence he could draw no conclufion. After .this, he and Mr du Fay" conftruCted a kind of mill of copper, which moved with an exceeding flight impulfe ; but though they threw upon it the focus of a lens of feven * or eight inches diameter, they were ftill unable to draw any conclufions from the refult. M. Mairan afterwards procured a horizontal wheel of iron three inches in diameter, having fix radii, at the extremity of each of which was a fmall wing fixed obliquely. The axis of the wheel, which was alfo of iron, was fufpended by a magnet. The wheel and the axis together did not weigh more than 30 grains; but though a motion was given to this wheel when the fo¬ cus of the burning glafs was thrown upon the extre¬ mities of the radii, yet it was fo irregular, that he could not but conclude that it was occafioned by the motion of the heated air. He then intended to have made his experiment in vacuo, but he concluded that it was un- neceffary. For, befides the difficulty of making a va¬ cuum, he was perfuaded that there was in our atmo- 5 fpherc L I G [ 39 ] L I G Light, fphere a thinner medium which freely penetrates even ‘““"’V”—' glafs itfelf, the exiftence of which he imagined that he had fufficiently proved in his treatife on the aurora bo- 9 realis. See Aurora Borealis, n j 5. By Mr Mr Michell fome years ago endeavoured to afcer- .Miche . ta;n momentum of light in a manner ftill more ac¬ curate. The inftrument he made ufe of for this pur- pofe confifted of a very thin plate of copper, a little more than an inch fquare, which was fattened to one end of a flender harpfichord-wire about ten inches long. To the middle of this was fixed an agate cap, fuch as is commonly ufed for fmall mariner’s-compaffes, after the manner of which it was intended to turn ; and at the other end of the wire was a middling fixed ihot- corn, as a counterpoife to the copperplate. The inftru¬ ment had alfo fixed to it in the middle, at right angles to the length of the wire, and in an horizontal direc¬ tion, a fmall bit of a very fiender fewing-needle, about one-third or perhaps half an inch long, which was. made magnetical. In this ftate the whole inftrument might weigh about 10 grains. It was placed on a very (harp-pointed needle, or which the agate cap turned extremely freely ; and to prevent its being difturbed by any motion of the air, it was included in a box, the lid and front of which were of glafs. This box was about 12 inches long, fix or feven inches deep, and about as much in width; the needle Handing upright in the middle. At the time of making the experiment, the box was placed in fuch a manner that a line drawn from the fun patted at right angles to the length of it; and the inftrument was brought to range in the fame dire&ion with the box, by means of the magnetical bit of needle above mentioned, and a magnet properly pla¬ ced on the outfide, which would retain it, though with extremely little force, in any fituation. The rays of the fun were now thrown upon the copperplate above mentioned from a concave mirror of about two feet diameter, which, palling through the front-glafs of the box, were collefted into the focus of the mirror upon the copperplate. In confequence of this the plate be¬ gan to move, with a flow motion of about an inch in a fecond of time, till it had moved through a fpace of about two inches and a half, when it ftruck againft the back of the box. The mirror being removed, the in¬ ftrument returned to its former fituation by means of the little needle and magnet; and the rays of the fun being then again thrown upon it, it again be¬ gan to move, and ftruck againft the back of the box as before; and this was repeated three or four times with the fame fuccefs.—The inftrumentwas then placed the contrary way in the box to that in which it had been placed before, fo that the end to which the cop¬ perplate was affixed, and which had lain, in the former experiment, towards the right hand, now lay towards the left; and the rays of the fun being again thrown upon it, it began to move with a flow motion, and ftruck againft the back of the box as before ; and'this was repeated once or twice with the fame fuccefs. But by this time the copperplate began to be fo much al¬ tered in its form, by the extreme heat which it under¬ went in each experiment, and which brought it nearly into a ftate of fufion, that it became very much bent, and the more fo as it had been unwarily fupported by the middle, half of it lying above and half below the wire to which it was faftened. By this means it now varied fo much from the vertical pofition, that it began to- Light. aft; in the fame manner as the fail of a windmill, being impelled by the ftream of heated air which moved up¬ wards, with- a force fufficient to drive it in oppofition to the impulfe of the rays of light. “ If we impute (fays Dr Prieftley) the motion-pro- j)r p^ft, duced in the above experiment to the impulfe of the ley’s con- rays of light, and fuppofe that the inftrument weighed dufions* ten grains, and acquired a velocity of one inch in a feeond, we (hall find that the quantity of matter con¬ tained in'the rays falling upon the inftrument in that time amounted to no more than one twelve-hundredth- millionth part of a grain, the velocity of light exceed¬ ing the velocity of one inch in a fecond in the pro¬ portion of about 12,000,000,000 to 1. Now the light in the above experiment was collefted from a furface of about three fquare feet, which reflefting only about half what falls upon it, the quantity of matter con¬ tained in the rays of the fun incident upon a fquare foot and an half of furface in one fecond of time, ought to be no more than the twelve-hundred-millionth part of a grain, or, upon one fquare foot only, the eighteen- hundred-millionth part of a grain. But the denfity of the rays of light at the furface of the fun is greater than at the earth in the propoHon of 45,000 to 1 : there ought, therefore, to iffue from one fquare foot of the fun’s furface in one fecond of time, in order to fupply the wafte by light, one forty-thoufandth part of a grain of matter ; that is, a lit^fe more than two grains in a day, or about 4,752,000 grains, or 670 pounds avoirdupoife nearly, in 6000 years ; a quantity which would have (hortened the fun’s femidiameter no more than about ten feet, if it was formed of the den¬ fity of water only.” • rI The Newtonians, befides the anfwer juft now given ObjetfUonr to the moft formidable objeftions of their opponents, agaii]ft the have endeavoured to prove the impoffibility of light be- ^3”?^” ing a vibration in any fluid. Sir Ifaac, in his Princi-s;r |fa4C * pia, demonftrates, that no reftilinear motion can be Newton,, propagated among the particles of any fluid unlefs thefe particles lie in right lines; and he hath alfo (hown, that all motion propagated through a fluid diverges from a reftilinear progrefs into the unmoved fpaces. Hence he concludes, “ a preffure on a fluid medium (i. e. a motion propagated by fuch a medium beyond any obftacle, which impedes any part of its motion), cannot be propagated in right lines, but will be al¬ ways inflefting and diffufing itfelf every way, to the quiefcent medium beyond that obftacle. The power of gravity tends downwards; but the preffure of water riling from it tends every way with an equable force, and is propagated with equal eafe, and equal ftrength, in curves, as in ftraight lines. Waves, on the furface of the water, gliding by the extremes of any very large obftacle, infleft and dilate themfelves, ftill diffufyig gradually, into the quiefcent water beyond that ob¬ ftacle. The waves, pulfes, or vibrations of the air, wherein found confifts, are manifeftly inflefted, though not fo confiderably as the waves of water ; and founds are propagated with equal eafe, through crooked tubes and through ftraight lines; but light was never known to move in any curve, nor to infleft itfelf ad umbrarn.'” ^ To this Mr Rowning adds another proof. “ The By Mr Cartefian notion of light (fays he), was not that itRowning, is propagated frt>m luminous bodies by the emiffion of ftnall L I G [ 40 ] L I G fmall particles, but that it was communicated to the tm-y—». organ 0f flgjjj. j^y their preffure upon the materia fub- tilis, with which they fuppofed the univerfe to be full. But, according to this hypothefis, it could never be dark ; becaufe, when a fluid fuftains any preffure, if that fluid Alls all the fpace it takes up, abfolutely, without leaving any pores, which is the cafe of the fuppofed materia fubtilis, then that preffure muff ne- cefl’arily be communicated equally and injlantaneoujly to every part. And therefore, whether the fun were above or below the horizon, the preffure communica¬ ted, and confequently the light, would be the fame. And farther, as the preffure would be inftantaneous, fo would the light, whicli is contrary to what is collefted from the eclipfes of Jupiter’s fatellites.” It is obvious, however, that whatever fide we take concerning the nature of light, many, indeed aim oft all the circumftances concerning it, are incomprehen- 13 fible, and beyond the reach of human underftanding. TTnaccount- Moft of the difcous flowers, by fome power unknown pertieTof t0 US’ ^°^ow t^ie ^un *n courfe- They attend him light. to his evening retreat, and meet his rifing luftre in the morning with the fame unerring law. If a plant alfo is (hut up in a dark room, and a fmall hole is afterwards opened by which the light of the fun may enter, the plant will turn towards that hole, and even alter its own ihape in order to get near it; fo that though it was ftraight before, it will in time become crooked, that it may get near the Ijght. It is not the heat, but the light of the fun, which it thus covets ; for, though a fire be kept in the room, capable of giving a much ftronger heat than the fun, the plant will turn away from the fire in order to enjoy the fun’s light.—The green colour of plants alfo depends on the fun’s light being allowed to Ihine upon them; for without this' they are always white.— From this laft circumftance, and likewife the property which the folar light has of * See Che- blackening precipitates of filver from the nitrous acid*, withy, it has been thought that light either contains the n® 756. phlogijlon in very confiderable quantity, or is itfelf a modification of ..that unknown fubftance. But that anodifica- t^1‘s cannot be the cafe, we have now a proof little tion of the Ihort of demonftration, from the laft experiments of phiogifton. Dr Prieftley concerning the production of pure de- j phlogifticated air from pump-water, by means of the 4 See Aero Adar light f. If light either were the phlogifton it- l0gy\n° 36j feT, or contained it in very confiderable quantity, it is et feq. impoffible the air produced by its means could be pure and dephlogifticated.—For the properties of light a Cl¬ ing as the medium of our perceptions by the fenfe of fight, fee the article Optics. Dr For In the Philofophical TranfaCtions for 1776, Dr dyce’s ex- Fordyce gives an account of fome experiments upon periments the light produced by Inflammation. They were made on the light to determine, whether there was any light.produced by by°inflam- t^ie inflammation itfelf, independent of ignition. Sub- mation. ftances, he obferves, begin to be luminous in the dark when heated to between 6 and 700 degrees of Fahren¬ heit’s thermometer. If the fubftances be colourlefs, they firft emit a red light; then a red mixed with yellow ; and laftly, with a great degree of heat, a pure white. This whitenefs, however, feems to depend greatly upon the denfity of the body; for the vapour at the end of the flame urged by a blow-pipe is not vifibly luminous, though its. heat be fufficieutly great to give a white heat to glafs. The colour of the ignited Light, matter, according to our author, has an effect upon v-*—* the colour of the light emitted. Thus, during the *6 calcination of zinc, the calx of which is white, a light.^° is produced farce inferior in beauty to that of the fun matter fup- himfelf. A beautiful green is communicated by the pofed to green calx of copper to the flame of a fire into which an in- it is thrown; and the yellow empyreumatic oil into which tallow or any common oil is converted in burning, 0f ^ communicates a part of its own colour to the flame, flame, which very much alters the appearance of bodies feen by candle-light from what it is by day-light. It does not, however, appear that this always holds good; for the fletme of burning iron is intenfely white; and yet neither the metal itfelf nor any of its calces are of that colour. Light produced by the decompofition of bodies by pro¬ inflammation without ignition is always blue, and pro-ducedin duces very little heat. Thus phofphorus of urine is de-cafe8 compofed by mere expofure to the air; and gives but jY^g teat, very little heat, though a confiderable light is emitted. The following proof is adduced by our author that this emiflion of light is a true inflammation. “ Take a re¬ ceiver of white glafs, capable of holding fix or eight gallons; put into it a drachm of phofphorus finely powdered, and half an ounce of water; cork the mouth of the receiver, and tie it over with a bladder, fo as to exclude the external air: incline the receiver to all fides gently, and afterwards fet it to reft; the powder will adhere to the fides, and the water will drain from it. As foon as the water is fufficiently drained off, the particles of the phofphorus will become luminous, and emit a thick fmoke; this will continue for fome days; but at laft no more light or vapour will appear. Open the receiver, and you will find that the air will have contracted, as it does from the inflammation of a candle in Van Helmont’s experiment; that is, about a twentieth part. It is become unfit for inflammation ; for if a lighted candle be immerfed in it, it will be ex- tinguilhed as well as the phofphorus, and an animal will be fuffpeated by it. The air then has fuffered the fame change as that which has ferved for the inflammation of other bodies-; and the phofphorus is partly decompofed, the water in the receiver being impregnated with its acid, and the air faturated with its phlogifton. Blow frelh air into the receiver, and the light and fmoke will immediately re-appear. In like manner it is known that fulphur will burn and give light without heat fufficient for ignition. Take a piece of iron heated nearly red hot, and throw a little gun-powder upon it. If the heat be of a proper degree, the fulphur will burn off with a blue flame, without heat fufficient for ignition ; for if fuch heat had been produced, the gun-powder would certainly have taken fire. It is the inflammation and decompofition of the fulphur, and not its evapora¬ tion, which produces the light; for'if we fublime fulphur in veffels of the moft tranfparent glafs, no light will be vifible except at the very beginning, when a fmall portion of it burns till the air in the veffel be faturatid, and rendered unfit for inflammation.” ,g Our author is of opinion, that the light produced by Lipht from inflammation is of a blue colour, from whatever body it is derived. This he endeavours to prove from an oh- feTm be° fervation on the flame of a candle, the lower part of always which, where the inflammation is, always appears ofhlue. r a L I G [ 41 3 L I G Light, a blue colour. “Or (fays he) take a candle which has V v— burned for fome time; extinguifh it by applying tallow to the wick, and let it Hand to cool; afterwards fet it on fire by the flame of another candle; at firfl no more vapour will arife than can be a£ted upon by the air at once ; inflammation, therefore, will go on in the whole fmall flame, and it will be blue. When a candle Obferva- burns, the following procefs takes place. The tallow tions on boils in the wick; and is converted into empyreumatic in the form of vapour. As it rifes from every part of the wick, the volume is increafed till it comes to the top, and gives to the lower part of the flame the form of the fruftum of an inverted cone. The air is applied to the outer furface of the column of vapour; and there decompofingthe empyreumatic oil, produces heat and blue light: the ftratum of vapour, within the outer burning furface, is heated white-hot; the heat diminiihes towards the centre, which, if the flame be large, is fcarcely red hot; as the column rifes, decompofition taking place conftantly on its furface, it neceflarily diminilhes, and the upper part of the flame is conical. That the tallow boils in the wick, can be feen: that it is converted into empyreumatic oil, is proved by drawing the vapour, rifingin the middle of the flame, where it does not burn, into a glafs- tube : the empyreumatic oil condenfes; this alfo fhows that the flame does not burn in the middle. That the heat is produced on the outer furface, appears, if we take a fmall rod of glafs, and put the end of it in the blue flame on the furface ; it will be heated white hot, and melt. Immerfe the rod into'the flame, fo that the point fliall be in the centre: it will melt and bend where it is in the blue flame on the furface; whereas, if the flame be large, the point which is in the centre will hardly he heated red-hot. That the empyreumatic oil is depompofed, is proved by burning a candle with a very fmall wick in diftilling veffels; no condenfation of ao empyreumatic oil takes place.” Mr Mor- In the 75th volume of the Tranfa&ions, Mr Morgan gan’s ob- treats the fubject of light at fome length. As a founda- fervatjons tion for his reafoning he aflumes the following data, upon light, j _ That light is a body, and, like all others, fubjeft to the laws of attraftion. 2. That light is an heterogeneous body; and that the fame attractive power operates with different degrees of force on its different parts. 3. That the light which efcapes from combuftibles when decompofed by heat, or by any other means, was, pre¬ vious to its efcape, a component part of thefe fubllances. Hence he concludes, that when the attractive force by which the feveral rays of light are attached to a body is weakened, fome of thofe rays will efcape fooner than others ; it being evident that thofe which are de¬ tained by the' fmallefl: power will fooneft go off when the general attractive force is weakened. This he illuftrates by the example of a mixture of fpirit of wine, water, and other more fixed fubftances. The application of a .gentle heat will carry off the fpirit of wine only ; a heat not much greater will evaporate the fpirits and water mixed together; and a ftill greater degree will carry off a mixture of all the particles together. “ In like manner (fays he), when the furface of a com- - buftible is in a ftate of decompofition, thofe parts of it which are the leaft fixed,1 or which are united with the leaft force, will be feparated firfl:. Amongft thefe the indigo rays of light will make the earlieft appearance. Vol.X. Part I. By increafing the heat, we fliall mix the violet with Light, the indigo: by iricreafing it ftill more, we fliall add the blue and the green to the mixture, till at length we reach that intenfity of heat yhich will caufe all the rays to efcape at the fame inftaflt, and make the flame of a combuftible perfectly white. By examining the flame Rcmarks of a common candle, we may obferve, that its loweft ex- on thefiame tremities, or the part in which the black colour of the a candle, wick terminates, difeharges the leaft heat; and that, as. the vertex of the flame is approached, a fucceffive order of parts is paffed through, in which the loweft is conti¬ nually adding to the heat of that which is juft above it, till we come to the top of the flame, near which all the heat is collected into a focus. At the loweft: ex¬ tremity, however, where the heat is inconfiderable, a blue colour may always be obferved ; and from this ap¬ pearance, amongft others, I think it may be concluded, that the blue rays are. fome of thofe which efcape from combuftibles in an early period of their decompofition; and that if the decompofition could be examined in a peiiod ftill more early, the colour of the flame would be violet. By an a priori dedudtion of this kind, I was led to obferve, that to the external boundary of the flame of a common candle is annexed a filament of light; which if proper care be taken to prevent the efcape of too much fmoke, wall appear moft beautifully coloured with the violet and indigo rays. If fulphur or ether be burned, or any other cdmhuftible whofe vapour is kindled in a fmall degree of heat, a blue flame will ap¬ pear ; which, if examined by the prifm, will be found to confift of the violet, the indigo, the blue, and fome- times a fmall quantity of the green rays. The beft mode, however, of Ihovving the efcape of fome rays by that degree of heat which will not feparate others till increafed, is the following. Give a piece of brown Curious ex* paper a fpherical form, by preffing it upon any hard periment globular fubftance. Gradually bring the paper thus “ fomed to that diftance from the candle at which it will brown pa- begin to take fire. -In this cafe a beautiful blue flame per. may be feen hanging, as it were, by the paper till a hole is made in it; when the flame, owing to the increafed aftion of the air upon all parts of it, becomes white, though the edges ftill continue of a blue or violet colour. As a confirmation of this, it may be obferved, that the very flame, which when expofed toa certain degree of heat emits only the moft refrangible rays, will,, if expofed to one confiderably greater, emit alfo thofe which are lefs fo. The flames of fulphur and fpirit of wine, if fuddenly expofed to the heat of a reverberatory, will change their blue colour for One that is perfectly white.” . 33 To obtain a more perfect knowledge of this matter, Experl- our author examined the light proceeding from com- ments on buftible bodies by Mr Melville’s method. Having darkened the room, he interpofed betwixt the eye method! * and combuftible a fheet of pafteboard, in which- was a very fmall hole for tranfmkting the light. Viewing the light which paffed through this hole with a prifm, he obferved, that the blue and violet rays were in greater abundance than any of the reft, though all the different kinds paffed through it when fpirit of wine only was made ufe of. When the combuftion of the fpirit of wine was checked by throwing, in fal ammoniac, the red rays difappeared, but made their appearance again as foon as the fait became heated tp fuch a degree as to F increafe L I G Light. increafe father than diminifh the combuftion of the ^ fpirits. On examining the different parts of the flame feparately, it was always found that the colours varied according to the degree of heat. At the bafe of the flame, or where the heat was leaft, the indigo, violet, and blue always appeared in gfeateft quantity ; but as the vertex was approached, the other rays appeared, and at the very top they were all vifible through a 24 Prifm- Condufions From thefe fafts Mr Morgan concludes, 1. That light, from thefe as an heterogeneous bo^y, is gradually decompofed mems* during combultion ; that the indigo rays efcape with the leall heat, and the red with the greateft ; and from this again he explains the reafon why flames affume different colours. “ If a piece of paper (fays he), im¬ pregnated with a folution of copper in nitrous acid, be fet on fire, the bottom and fides of the flame are always tinged green. Now this flame is evidently in that weak ftate of decpmpofition in which the moil refrangible rays efcape in the greatefl abundance; but of thefe the green rays efcape moft plentifully through the unignited vapour and that portion of the atmofphere which is interpofed betwixt the eye and the flame. This pe¬ culiarity may be obferved in greatefl; perfection in brafs founderies. Here the heat, though veiy ftrong, is fcarcely fufficient to decompofe the metallic vapour which efcapes from the melted brafs; whence the flame has a very Angular appearance, the edges being green, and the body of fuch an appearance, as to give fubfiances viewed by it a pallid and ghaftly appearance, owing to the want of a fufficient quantity of red rays to make 1$ a perfect white.” Redap- 2. Mr Morgan explains the red appearance of bodies bodies in ^ t^e*r ^ ^ate ignition, from the previous efcape their laft of the more refrangible rays, fo that only the red ones re- ftate of ig- main. “ Again, (fays he), we may confider the external nition cx- furface of the combuftible body as annexed to an inner * aiBe ' furface, which may be partly, but not fo perfectly de¬ compofed as itfelf: for the violence of the heat will be found to leflen in its effeCts the nearer it approaches to the centre of the fubftance which is expofed to it. Hence we are to confider the parts which are juft covered by the external furface as having loft lefs of their component light than the external fnrface itfelf; or the former may retain the green rays when the latter has loft both indigo, violet, blue, and green. 3. “ Thofe parts which are nearer the centre of the body than any of the preceding, mull, as they are far¬ ther from the greateft violence of the heat, have loft proportionably fewer of their rays ; or while the ex¬ ternal parts may have loft all but the red, thefe may have loft only the indigo and violet. ( 42 ) L I G pearances fimilar to the preceding may be obferved in Light. a comtpon kitchen fire. When it is fainteft,>its colour is molt red, the other rays having been emitted, and the combWtion at a Hand ; but by blowing upon it in ' this ftate, itshfightnefs will be encreafed, and more and more of the rays which are yielded by the internal parts of the body will come to the eye, till at length, by con¬ tinuing to blow, the combuftion will be made fo com¬ plete as to yield all the rays, or to make it appear perfectly white.” 2(S Our author concludes the fubjeCt with a criticifir^ir Ifaac upon Sir Ifaac Newton’s definition of flame, Viz..Newl0.11’* that it is a vapour heated red hot. In his opinion, flame is an inftance of combuftion whofe colour will be crjtid"fed by; determined by the degree of decompofition which takes.Mt Mor- place. When very imperfed, only the moft refrangible £an* rays will appear. If it be very perfeCt, all the rays will appear, and its flame will be brilliant in* proportion. But there are flames which confiit of burning particles, the rays of which havepartlyefcaped before they afcend- ed inform ofvapour. “ Such (fayshe) would be the flame of a red hot coal, if expofed to fuch a heat as would gradually convert it into vapour. When the fire is veiy. low under the furnace of an iron foundery, at the. upper orifice of the chimney a red flame of this kind may be feen, which is different from the flame that appears immediately after frefh coals have been thrown upon the fire | for in confequence of adding , fuch a fupply to- the burning fuel, a vafl column of fmoke afcends, and forms a medium fo thick as to abforb molt of the rays excepting the red.” Thus we have a moft elaborate theory for the. Wr folving of phenomena which feem not eafily to admit jran’s thee- of any folution. It is obvious, however, that thedatan' not upon which he builds his fyitem are altogether -un-wfAhamd* founded and hypothetical. That light is fubjeCt toe<*' the laws of attraction, cannot be proved unleis we could examine it independent of any other fubftance whatever; that is to fay, in a perfeCt vacuum ; and even in the moft perfeCt vacuum that can be formed, we are far from being certain that no other matter is pre- fent. Light is infleCted and turned out of its courfe in many different ways when aCting in the common at¬ mofphere, but we have no reafon to fuppofe that it would be the fame in a perfeCt vacuum; at leaft ws have not a right to lay it down as a principle to argue from, unlefs it were verified by experience. Even the heterogeneous nature of light feems far from being ab- folutely eftablifhed. The refraCtion into different cot lours by the prifm feems infufficient to do fo ; for though, by a quick revolution of thefe colours when painted upon any fubftance, we may produce a kind 4.“ The moft central parts may be unaffeCted by the of white colour, it is by no means perfeCt, but looks heat; and whenever the fire does reach thefe parts, they if fome black had got amongft it. The opinion of thofe •wall immediately difcharge their indigo rays, and be who maintain that the prifmatic colours.are no other decompofed in the gradual manner already mentioned, than different mixtures of light and fhade, feems there- A piece of rotten wood, while burning, will exemplify fore equally probable with the other. His third pofi- and confirm the preceding illufiration. When in- tion, that the light emitted by combuftible bodies form- fluenced by the external air only, if examined through ed part of their fubftance before combuftion, feems flill a prifm, no rays will be found to efcape but the orange worfe founded ; for inftead of being ■ fixed in folid and the red. By blowing upon the burning wood fubftances, all the light and heat proceeding from com- with a pair of bellows, the combuftion being increafed, bullion feem entirely to come from the air. By means of will affeCt thofe internal parts of the body which were heat originally applied, the fubftance, or part of it, is ra- not aCted upon before. Thefe parts therefore will refied into vapour ; and this vapour, we have every rea- begin to lofe their light, and a prifm will Ihow the green, fon to fuppofe, confifts of elementary fire united with blue, violet, and indigo, all appearing in fucceffion. Ap- the folid fubltance. It is this fire, heat, or light, which L I G I 43 ] L I G tJght, is afterwards thrown out from the vapour in combuf- tron ; and new fupplies of it perpetually come from the atmofphere, as is abundantly rtiown under the ar¬ ticles Combustion, Fire, Flame, and many others throughout this work. We cahnot therefore think it either inconfiftent, or very improbable, that in the beginning of combuftion, when the white light is clouded with a great quantity of vapour, it Ihould ap¬ pear of a blue or violet colour; and that in propor¬ tion as this vapour is diflipated, it fhbuld appear green, yellow, red, or perfectly white : for it is obfervable, that in dephlogiftieated air, even thofe flames which in the common atmofphere always appear blue, fuch as fulphur and fpirit of wine, are then changed to a dazzling white. The pure light of the fun alfo feeti through fmoke, or even through a great quantity of aqueous vapour, appears red ; and there is not the leaft doubt, that if we were to view the fun while he thus appears red through any blue medium, he would . -appear purple; and in like manner, were we to view n blue flame through a yellow medium, it would ap¬ pear of a green colour. ^ie fame paper Mr Morgan has fome curious ob- vadons on fc'rvatl'ons upon the eleftric light. There is neither «le vl'z’ 1 • If into a Torricellian vacuum oi diftances.; any length a few drops of ether are conveyed, and both ends of the vacuum flopped up with metallic conduc¬ tors, fo that a fpark may pafs through it, the fpark in its paflage will make the following appearances. When the eye is placed clofe to the tube, the fpark will ap¬ pear perfe&ly white ; if the eye is removed to the di- ftance of two yards, it will appear green ; but at the „ diftance of fix or feven yards, it will appear reddilh. “ Thefe changes evidently depend (fays our author) on the quantity of medium through which the light pahes ; ahd the red light more particularly, which we fee at the greateft diftance from the tube, is accounted for on the fame principle as the red light of the be¬ clouded fun, or a lighted candle.” 2. Dr Prieftley long ago obferved the red appear¬ ance of the ele&ric fpark, when palling through in¬ flammable air. But this appearance is very much di- ■verfified according to the quantity of medium through ■which the fpark is beheld. At a very confiderable di¬ ftance the red comes unmixed to the eye; but if the eye be placed clofe to the tube, the fpark appears white and brilliant. By increafing, however, the quantity wf fluid conveyed through any portion of inflam¬ mable air, or by condenfing that air, the fpark may be made perfectly white. It may further be obfefved, that all weak explofions and fparks, when viewed at a di¬ L 44 1 h 1 G Lighti On phofphoric light Mr Morgan makes fomc curious obfervations; but ftill argues on the fame principles * we have already mentioned. “ Some Ihells (fays he), prepared according to Mr Wilfon’s dire&ions*, after t;ons on' being expofed to the fun, or to the flalh of a battery, phofphoric emit a purple, others a green, and others a reddilh light, hght- If, with Mr Wilfon, we fuppofe that thefe Ihells are * See . „ . . fborus. in a ftate of flow combuftion, may we not conclude' that fome are juft beginning to burn, and therefore e* mitting thd moll refrangible rays ; while others are in a more advanced ftate of combuftion, and therefore e* mittingthe leaft refrangible ? If this conclufion be right, the Ihells which are emitting the purple or the green, muft ftill retain the yellow, the orange, and the red, which will alfo make their appearance as foon as the combuftion is fufficiently increafed.” In confirmation of this, Mr Morgan adduces the following experiment, viz. that if a (hell, while emitting its green rays, be placed upon a warm Ihovel, the colour will foon be changed into a yellow mixed with red. —To the theory of flow combuftion Mr Morgan makes the following objedtions. 1. If phofphoric (hells owe their light to this caufe, we muft confxder the word combuftipn, when applied to them, as implying all thofe circumftances which ufually attend a body when on fire. On this fuppolition there ought to be an increafe of the heat as well as of the de- compofition of the combuftible. But neither of thefe are found to take place in faci; for a phofphoric body never fails to lofe its light entirely in a Certain degree . If into a Torricellian vacuum of of heat, without lofing the power of becoming phof- J“~ — J --J phoric again when it has been fufficiently cooled,. While very hot, the charge of the ftrongeft battery conveyed over it has no effeft. 2. When bodies are wafted by combuftion, they can never be made to reaflume the appearances which they previoufly difplayed. “ No power (fays our author) can give to allies the phenomena of a burning coal. But pholph^ric bodies are very different in this refpedt; for a phofphoric fliell may be made to lofe all its light by expofnre to heat, and again may be made as luminous as ever by expofure to the fun,” 3. It is remarkable that fome bodies which are moft beautifully phofphoric, are at the fame time the moft obftinate in refilling fire. “ Let us now fee (fays Mr Morgan) the confequence of admitting the com¬ mon hypothefis, that the detention of thofe .rays which, fall upon phofphori is owing to fome force which pre¬ vents their immediate -refle&ion, but is not adequate to their entire abforption. This force, whatever it be,, cannot well be fuppofed to operate with equal power on all thefe rays. If this be not the cafe, we cannot well avoid concluding, that phofphoric (hells will affume different colours, owing to the earlier and later efcape of the different rays of light. This conclufton is jutti- fied by an experiment already mentioned; viz. that ■when the force is fuch as to admit the efCape of the- •fiance, make a reddifli appearance. The reafon of thefe purple, blue, and green, we have only to leffen that appearances feems to be, that the weaker the fpark or explofion is, the more it is difpofed to affume a r^d co¬ lour -when viewed at a diftance. This feems to con- force, by warming the body, and the yellow, the orahge, and red efcape. Beccaria has proved, that there is fcarce- ly any body which is not phofphoric, or may not be- what has already been mentioned as a probable hy-, come fo by heat. But as the phofphoric force is moft ■pothefis, that the different colours of light are en¬ tirely owing to the medium through which they are ’dewed. powerful when the purple rays only efcape, fo we a to conclude, that it is weakeft when it is able to retain the red rays only. This is agreeable to feveral fadts. 3 Chalkj L I G l 45 ] L I G Light. Chalk, oyfter-lhells, together with thole pliQfphoric v*— bodies whofe goodnefs has been very much impaired by- long keeping, when finely powdered, and placed with¬ in the circuit of an eleftrical battery, will exhibit, by their fcattered particles, a fhower of lip#ht; but thefe particles will appear reddifli, or their phofphoric pow¬ er will be fufficient only to detain the yellow, orange, and red rays. When fpirit of wine is in a fimilar man¬ ner brought within the circuit of a battery, a fimilar effedl may be difcovered: its particles diverge in feve- ral directions, difplaying a moll beautiful golden ap¬ pearance. The metallic calces are rendered phofpho¬ ric with the greateft difficulty ; but even thefe may be fcattered into a ffiower of red luminous particles by the eleCtric ftroke.” In a pollfcript to this paper, by Dr Price, it is ob- ferved, that by phofphoric force, Mr Morgan feems to mean, not the force with which a phofphoric body emits, but that with which it ahforbs and retains, the light. This laft force is proportioned to the degree of attrac¬ tion between the phofphoric body and light; and there¬ fore mult, according to Mr Morgan’s theory, be weak- eft when it fo freely emits the light it has imbibed as mot to retain thofe rays which adhere to it molt ftrong- iy. According to Mr Morgan’s theory, thefe are the rays which are the leall refrangible. “ It is, how¬ ever (fays Dr Price), an objection to it, that the lefs •refrangibility of rays feems to imply a lefs force of at¬ traction between them and the fubltances which refraCt them ; but it ffiould be confidered, that, poffibly, the force of cohefion, which unites the rays of light to bodies, may be a different power from that which re- fraCts them.” Light independent of Heat. In general, a very con- fiderable degree of heat is requifite to the emiffion of light from any body; but there are feveral excep- , tions to this, efpCcially in light proceeding from pu- trefeent fubftances and phofphorus, together with that of luminous animals, am! other fimilar appearances. Light proceeding from putrefeent animal and-vege¬ table fubftances, as well as from glow-worms, is men- 2 j ce ani tioned by Ariftotle. Thomas Bartholin-mentions four W,p! 183. kinds of luminous infeCts, two with wings, and two aoff. 0 without; but in hot climates travellers fay they are found in much greater numbers, and of different fpe- cies. Columna, an induftrious naturalift, obferves, that their light is not extinguifired immediately upon the death of the animal. I! htfrom Tim firlt diftinCt account that we meet with of light putrid flefh. proceeding from putrefeent animal-flefh is Prat which De Vifionc i* given ky Fabricius ab Aquapendente ; who fays, p. ’ that when three Roman youths, refiding at Padua, had bought a lamb, and had eaten part of it on Ea- fter day 1592, feveral pieces of the remainder, which they kept till the day following, fhone like fo many candles when they were cafually viewed in the dark. Part of this luminous flefh was immediately lent to A- quapendente, who was profeffor of anatomy in that city. He obferved, that both the lean and the fat of this meat fhone with a whitilh kind of light;. and alfo took noticC, that fome pieces of kid’s fiefh, which had happened to have lain in contaCt with it, was luminous, as well as the fingers and other parts of the bodies of thofe perfons who touched it. Thofe parts, he obferved, fhone the moft which were foft to the touch, and. feemed to be tranfparent in candk light j but where the flefh was-thick and folid, or where a bone Liglit. was near the outfide, it did not fhine. 'v '' -v After this appearance, we find no account of any other fimilar to it, before that which was obferved by Bartholin, and of which he gives a veiy pompous de- feription in his ingenious treatife already quoted. This happened at Montpelier in 1641, when a poor old woman had bought a piece of flefh in the market, intending to make ufe of it the day following. But happening not to be able to deep well that night, and her bed and pantry being in the fame room, fiie obfer¬ ved fo much light come from the flefii, as to illuminate all the place where it hung. A part of this luminous flefh was carried as a curiofity to Henry Bourbon, duke of Conde, the governor of the place, who viewed it forifeveral hours with the greatefl afloiiifhment. This light was obferved to be whitifh ; and not to* cover the whole furface of the flefh, but certain parts Only, as if gems of unequal fplendor had been fcattered over it. This flefh was kept till it began to putrify, when the light vanifhed ; which, as fome religious people fancied, it did in the form of a crofs. It is natural to expedt, that the almoft uuiverfal ex- ^rorf. perimenal philofopher Mr Boyle fliould try the effedt voUiiT' of his air-pump upon thefe luminous fubftances. Ac-p. ij&. cordingly we find that he did not fail to do it; when he prefently found that the light of rotten wood was extinguifhed in vacuo, and revived again on the ad- miffion of the air, even after a long continuance in vacuo; but the extinguifhing of this light was not fo complete immediately upon exhaufting the receiver, as fome little time afterwards. He could not perceive, however, that the light of rotten wood was increafed in condenfed air; but this, he imagined, might arife. from his not being able to judge very well of the de¬ gree of light* through fo thick and cloudy a glafs- veffel as he then made ufe of p but we find that the Birch's biff light of a fhining fifh, which was put into a conden-11,3^* fing engine before the Royal Society, in 1668, was rendered more vivid by that means.. The principal of Mr Boyle’s experiments were made in October 1667. This philofopher attended to a great variety of cir- cumftances relating to this curious phenomenon-. A- mong other things he obferved, that change. of air was not neceffary to the maintenance, of this light ; for it continued a long time when a piece of the wood was put into a very fmall glafs hermetically fealed, and it made no difference when this tube which con¬ tained the wood was put into an exhaufted receiver. This he alfo obferved with refpedt to a luminous fifh, which he put into water, and placed in the fame cir- cumftances. He alfo found, that the light of Ali¬ ning fiflies had other properties in common with that of finning wood; but the latter, he fays, was prefent¬ ly quenched with water, fpirit of wine., a great va¬ riety of faline mixtures, and other fluids. Water, however, did not quench all the light of fome fhining veal on which he tried it, though fpirit of wine de- ftroyed its virtue prefently. Mr Boyle’s obfervation of light proceeding from flefh-meat was quite cafual. On the 15th of* Feb¬ ruary 1662, one of his fervants was greatly alarmed with the Ihining of fome veal, which had been kept a few days, but had no bad fmell, and was in a ftate very proper for ufe. The fervant immediately made Jus naffer acquainted with this estraordinary appear- 'ancej,- Birch, l L I G ance ; and though he was then in bed,' lie ordered it to be immediately brought to him, and he examined it with the greateft attention. Sufpefting that the date of the atmofphere had fome (hare in the produc¬ tion of this phenomenon, he takes notice, after de¬ fending the appearance, that the wind was fouth-weft and bluftering, the air hot for the feafon, the moon was paft its laft quarter, and the mercury in the baro¬ meter was at 29^3- inches. 46 1 L I G it was immerfed luminous, when they Were agitated. Light: Galeatiusand Montius found, that wine or vinegar ex- —-v™” tinguifhed this light: that in common oil it continu¬ ed fome days; but in rectified fpirit of wine or urine, hardly a minute. In order to obferve in what manner this light was affefted by different degrees of heat, they made ufe of a Reaumur’s thermometer, and found that water rendered luminous by thefe fifties increafed in light from Mr Boyle was often difappointed in his experiments till the heat arrived to 45' degrees; but that it then on fliining fifties;, finding that they did not always fliine in the very fame circumftances, as far as he could judge, with others which had ftiined before. At one time that they failed to fhine, according to his expec- .tations, he obferved that the weather was variable, and not without fome days of froft and fnow. In ►general he made ufe of whitings, finding them the fitteft for his purpofe. In a difeourfe, however, up- became fuddenly extinft, and could not be revived. In the experiments of Beccarius, a folution of fea- falt increafed the light of the luminous water, a folu¬ tion of nitre did not increafe it quite fo much. Sal ammoniac diminiftied it a little, oil of tartar per deli- quium nearly extinguiftied it, and the acids entirely. This water poured upon frefti calcined gypfum, rock cryftal, cerufs, or fugar, became more luminous. He pon this fubject at the Royal Society in 1681, it was alfo tried the effedts of it when poured upon various aflerted, that, of all fiftiy iubftances, the eggs of lob- ■fters, after they had been boiled, ftione the brighteft. Olig. Jacoboeus obferves^ that, upon opening a fea- other fubftances, but there was nothing very remark¬ able in them. Afterwards, ufing luminous milk, he found that oil of vitriol extinguiftied the light, but AS1. Hafn. polypus, it was fo luminous, as to ftartle feveral per- that oil of tartar increafed it. p. aSz. fons who faw it; and he fays, that the more putrid the fifh was, the more luminous it grew. The nails alfo, This gentleman had the curipfity to try how dif¬ ferently coloured fubltanceg were affedted by this kind and the fingers of the perfons who touched it, became of light; and having, for this purpofe, dipped feveral ribbons in it, the white came out the brighteft, next to this was the yellow, and then the green ; the other colours could hardly be perceived. It was not, how- luminous ; and the black liquor which iffued from the animal, and which is its bile, ftione alfo, but with a ry faint light. Mr Boyle draws a minute comparifon between the ever, any particular colour, but only light that was light of burning coals and that of fhining wood or fifh, perceived in this cafe. He then dipped boards painted ftiowing in what particulars they agree, and in what with the different colours, and alfo glafs tubes, filled they differ. Among other things he obferves, that ex- with fubftances of different colours, in water rendered ••treme cold extinguifhes the light of fhining wood, as luminous by the fifties. In both thefe cafes the red -appeared when a piece of it was put into a glafs tube, was hardly vifible, the yellow was the brighteft, and and held in a frigorific mixture. He alfo found that the violet the dulleftt But on the boards the blue was •" rotten Wood did not wafte itfelf by fhining, and that nearly equal to the yellow, and the green more lan- the application of a thermometer to it did not difeo- guid; whereas in the glaffes, the blue was inferior to ver the leaft degree of heat. the green. ©fthepho. There is a remarkable ftiell-fifh called pholas, which Of all the liquors into which he put the-pholades, las, a re- forms for kfelf holes in various kinds of ftone, &c. milk was rendered the moft luminous. A Angle pho- luminous That ^is fifh is luminous, was noticed by Pliny ; who las made feven ounces of milk fo luminous, that the AH, -obferves, that it fhines in the mouth of the perfon who faces of perfons might be diftinguiftied by it, and it eats it, and, if it touch his hands or cloaths, makes looked as if it was tranfparent. .them luminous. He alfo fays that the light depends upon its moifture. The light of this fifh has furnifhed matter for various obfervations and experiments to M. Reaumur, and the Bolognian academicians, efpeci- ally Beccarius, who took fo nftich pains with the fub- je£t of phofphoreal light. Air appeared to be neceflary to this light ; for when Beccarius put the luminous milk into glafs tubes, no agitation would make it fhine, unlefs bubbles of air were mixed with it. Alfo Montius and Galeatius found, that, in an exhaufted receiver, the pholas loft its light, but the water was fometimes made more lu- M. Reaumur obferves, that, whereas other fifties minous; which they aferibed to the rifing of bubbles -give light when they tend to putrefcence, this is more of air through it. luminous in proportion to - its being frefti; that when •they are dried, their light will revive if they be moiften- Beccarius, as well as Reaumur, had many fchemes to render the light of thefe pholades permanent. For •ed either with frefti or fait water, but that brandy im- this purpofe he kneaded the juice into a kind of pafte, mediately extinguifties it. He endeavoured to make with flour, and found that it would give light when this light permanent, but none of his fchemes fucceeded. it was immerfed in warm water ; but it anfwered beft The attention of the Bolognian academicians was to preferve the fifti in honey. In any other method of engaged to this fubjedt by M. F. Marfilius, in 1724, prefervation, the property of becoming luminous would who brought a number of thefe fifties, and the ftones not continue longer than fix months, but in honey it -in which they were inclofed, to Bologna, on purpofe had lafted above a year; and then it would, when for their examination. plunged in warm water, give as much light as ever it Com. Benon. Beccarius obferved, that though this fifti ceafed to had done. c^/ar vol. ii.i32. fhine when it became putrid ; yet that in its moft pu- Similar, in fome refpe&s, to thofe obfervations on rmjia, the light of the" pholas, was that which was obferved vo‘,„v- to Pu¬ trid ftate, it would fhine, and make the water in which L I G [ 47 1 L I G l Light, to proceed from wood which was nroiil, but not in a —v ' putrid ftate, which was very confpicuous in the dark. That the fea is fometimes luminous, efpecially when it is put in motion by the dalhing of oars or the I beating of it againft a fhip, lias been obferved with . 3? admiration by a great number of perfons. Mr Boyle, Kater^1 rccit‘ng tlie circumftances of this appearance, as far as he could colledt them from the accounts of na¬ vigators ; as its being extended as far as the eye could reach, and at other times being viiible only when the water was da/hed againft fome other body ; that, in feme feas, this phenomenon is accompanied by fome particular winds, but not in others ; and that fome¬ times one part of the fea will be luminous, when an¬ other part, not far from it, will not be fo; concludes with faying, that he could not help fufpe&ing that tlitfe odd phenomena, belonging to great maffes of wa¬ ter, were in fome meafure owing to fome cofmical law or cuftom of the terreftrial globe, or at leaft of the 1 . planetary vortex. Dr Beal’s Some curious obfervations on the ftiining of fome \ experi- fifties, and the pickle in which they were immerfed, t menu on were made by Dr Beal, in May 1665 ; and had they njfilhcs. been properly attended to and purfued, might have led to the difcovery .of the caufe of this appearance. Phil ’TranC. ^av'ng Put fome boiled mackerel into water, together toLlix. with fait and fweet herbs; when the cook was, fome p. 450. time after, ftirring it, in order to take out fome of the fifties, ftie obferved, that, at the firft motion, the water was very luminous ; and that the fifli ftiining through the water added much to the light which the water yielded. The water was of itfelf thick and blackifli, rather than of any other colour ; and yet' it ftiined on being ftinyd, and at the fame time the fifties appeared more luminous than the water. Wherever the drops of this water, after it had been ftirred, fell to the ground, they ftiined ; and the children in the family diverted themfelves with taking the drops, which were as broad as a penny, and running with them about the houfe. The cook obferved, that, when ftie turned up that fide I of the fifti that was loweft, no light came from it; and that, when the water had fettled for fome time, it did not ftiine at all. The day following, the water gave but little light, and only after a brilk agitation, though the fifties continued to ftiine as well from the infide as the outfide, and efpejcially about the throats 0 and fuch places as feemed to nave been a little broken in the boiling. When, in the light of the fun,, he examined, with a microfcope, a fmall piece of a fifti which had ftiined very much the night before, he found nothing remarkable on its furface, except that he thought he perceived what he calls aJleam, rather dark than luminous, arifing like a very fmall dull from the fifti, and here and there a very fmall and almoft imperceptible fparkle. Of the fparkles he had no doubt; but he thought it poffible that the fteam might be a. deception of the fight, or fome dull in the air. Finding the fifti to be quite dry, he moiftened it with his fpittle ; and then obferved that it gave a little light, though but for a ftiort time. The fifti at that time was not fetid, nor yet infipid to the bell difcern- ing palate. Two of the fifties he kept two or three days longer for farther trial: but, the weather being very hot, they became fetid j and, contrary to his ex- pe£lations, there was no more light produced either by Light, the agitation of the water or in the fifti. ^v-—» Father Bourzes, in his voyage to the Indies in Fal^j? 1704, took particular notice of the luminous appear- BourzesV ance of the fea. The light was fometimes fo great, account of that he could eafily read the title of a book by it, 1.um‘nou* though be was nine or ten feet from the furface of the fea'watei’ water* - Sometimes he could eafily diftinguilh, in the wake of the ftiip, the particles that were luminous from thofe that were not; and they appeared not to be all of the fame figure. Some of them were like points of light, and others fuch as liars appear to the naked eye. Some of them were like globes, of a line or two in diameter; and others as big as one’s head. Somefimes. they formed themfelves into fquares of three or four inches long, and one or two broad. Sometimes all thefe different figures were vifible at the fame time; and fometimes there were what he calls vortices of light, which a-, one particular time appeared and difappeared immediately like flaihes of lightning. Nor did only the wake of the ftiip produce this light, but fifties alfo, in fwimming, left fo luminous a track behind them, that both their fize and fpecies might be diilinguiftied by it. When he took fome of the water out of the fea, and llirred it ever fo little with his hand, in the dark, he always faw in it an in¬ finite number of bright particles; and he had the fame appearance whenever he dipped a piece of linen in the. fea, and wrung iirrn a dark place, even though it was. half dry; and he obferved, that when the fparkles fell upon any thing that was Colid, it would continue ftiining for fome hours together. After mentioning feveral circumllances which did His conjee, not contribute to this appearance, this Father obftrves,,tares con- that it depends very much upon the quality of the wn/ery cerning tha and he was pretty fure that this light is the greateft'03^- when the water is fatteft, and fullell of foam. For in’ the main fea, he fays, the water is not everywhere equally pure ; and that fometimes, if linen be dipped in the fea, it is clammy when it is drawn up again : and he often obferved, that when the wake of the ftiip was the brighteft, the water. was the moll fat and glutinous, and that linen moiftened with it produced a great deal of light, if it was ftirred or moved briikly. Befides, in fome parts of the fea, he faw a fubftance like faw-duft, fometimes red and fometimes yellow; and when he drew up the water in thofe places, it was always vifeous and glutinous. The failors told him, that it was the fpawn of whales ; that there are great quantities of it in the north ; and that form - times, in the night, they appeared all over of a bright light, without being put in motion by any veffel or fifti palling by them. As a confirmation of this conjefture, that the more glutinous the fea-watsr is, the more it is difpofed to become luminous, he obferves, that one day they took. a fifti which was called a bonite, the infide of the mouth of which was fo luminous, that, without any other light, he could read the fame characters which he had before- read by the light in the wake of the ftiip ; and the- mouth of this lifli was full of a vifeous matter, which, when it was rubbed upon a piece of wood, made it im¬ mediately all over luminous ; though, when the moif- tiire was dried up, the light was extinguiftied. The abbe Nollet was much {truck with the lumi- ncufnefe 41 Ob refla¬ tions of M< i|e Roi. 'Tr^nnl, fol. iii. 144. Experi¬ ments by M. Ant, Martin. L i G t 48 3 L X G noufnefs of the fea when he was at Venice in 1749; fea-fiihes have this property; but that it is not to be Light, and, after taking a great deal of pains to’afcertain the found in any that are produced in frefli water. No- *~~x" l*° circumftances of it, concluded that it was occafioned thing depended upon the colour of the fiihes, except5^* .. by a fhining infeft; and having examined the water that he thought that the white ones, and efpecially very often, he at length did find a fmall infect, which thofe that had white fcales, were a little more lumi-p^jj”1''" he particularly defcribes, and to which he attributes the nous than others. This light, he found, was increafed light. The fame hypothefis had alfo occurred to by a fmall quantity of fait; and alfo by a fmall degree M. Vianelli, profefibr of medicine in Chioggia near Ve- of warmth, though a greater degree extinguiihed it. nice ; and both he and M. Grizellini, a phyfician in This agrees with another obfervation of his, that it de- Venice, have given drawings of the infe&s from which pends entirely upon a kind of moifture which they they imagined this light to proceed. had about them, and which a fmall degree of heat The abbe was the more confirmed in his hypothefis, would expel, when an oilinefs remained which did not by obferving, fome tirw after, the motion of fome lumi- give this light, but would burn in the fire. Light from nous'particles in the fea. For, going into the water, the flefh of birds or beafts is not fo bright, he fays, as and keeping his head juft above the furface, he faw that which proceeds from fifli. Human bodies, he fays, them dart from the bottom, which was covered with have fometimes emitted light about the time that they weeds, to the top, in a manner which he thought began to putrefy, and the walls and roof of a place very much refembled die motions of infefts; though, in which dead bodies had often been expofed, had a When he endeavoured to catch them, he only found kind of dew or clamminefs upon it, which was fome- fome luminous fpots upon his hankerchief, which were times luminous; and he imagined that the lights which enlarged when he prefled them with his finger. are faid to be feen in burying-grounfls may be owing M. le Roi, making a voyage on the Mediterranean, to this caufe. 'prefently after the abbe Nofiet made his obfervations From fome experiments made by Mr Canton, he By Mr at Venice, took notice, that in the day-time, the prow concludes, that the lumiijoufnefs of fea-water is owing Ganton. of the ftiip in motion threw up many fmall particles, to the flimy'and other putrefcent fubftances it con- which, falling upon the water, rolled upon the furface tains. On the evening of the 14th of June 1768, he of the fea for a few feconds before they mixed with put a fmall frefh whiting into a gallon of fea-water, in it; apd iff the night the fame particles, as he con- a pan which was about 14 inches in diameter, and eluded, had the appearance of fire. Taking a quan- took notice that neither the whiting nor the water, tity of the water, the fame fmall fparks appeared when agitated, gave any light. 4. Fahrenheit’s ther- whenever it was agitated; but, as was obferved with mometCr, in the cellar where the pan was placed, flood refpeft to Dr Beal’s experiments, every fucceffive agi- at 540. The 15th, at night, that part of the fifli tation produced a lefs effedt than the preceding, except; which was even with the furface of the water was lu- after being fuffered to reft a while; for then a frefli minous, but the water itfelf was dark. He drew the agitation would make it almoft as luminous as the firft. end of a flick through it, from one fide of the pan to This water, he obferved, would retain its property of the other; and the water appeared luminous behind fhining by agitation a day or two; but it difappeared the flick all the Way, but gave light only where it immediately on being fet on the fire, though it was was difturbed. When all the water was ftirred, the not made to boil. whole became luminous, and appeared like milk, gi- This gentleman, after giving much attention to this ving a confiderable degree of light to the fides of the phenomenon, concludes, that it is not occafioned by pan; and it continued to do fo for fome time after it any fhining infefts, as the abbe Nollet imagined; efpe- was at reft. The water was moft luminous when the cially as, after carefully examining fome of the lumi-. fifh had been in it about 28 hours; but would not give nous points, which he caught upon an handkerchief, any light by being ftirred, after it had been in it thred he found them to be round like large pins heads, but days. with nothing of the appearance of any animal, though He then put a gallon of frefli water into one. pan, he viewed them with a microfcope. He alfo found, and an equal quantity of fea-water into another, and that the mixture of a little fpirit of wine with water into each pan he put a frefli herring of about three Juft drawn from the fea, would give the appearance of ounces. The next night the whole fiirface of the fea- a great number of little fparks, which would continue water was luminous, without being ftirred ; but it was vifible longer than thofe in the ocean. All the acids, much more fo when it was put in motion ; and the and various other liquors, produced the fame effeft, upper part of the herring, which was confiderably be¬ thought not quite fo confpicuoufly ; but no frefli agi- low the furface of the water, was alfo very bright; tation would make them luminous again. M. le Roi while at the fame time, the frefli water, and the fifli is far from aflerting that there are no luminous infefts that was in it, were quite dark. There were feveral in the fea. He even fuppofes that the abbe Nollet very bright luminous fpots on different parts of the and M. Vianelli had found them. But he was fatif- furface of the fea-water; and the whole, when viewed fied that the fea is luminous chiefly on fome other ac- by the light of a candle, feemed covered with a greafy count, though he does not fo much as advance a con- feum. The third night, the light of the fea-water, jefture about what it is. while at reft, was very little, if at all, lefs than before; M. Ant. 'Martin made many experiments on the but when ftirred, its light was fo great as.to difeover light of fifties, with a view to difeover the caufe of the the time by a watch, and the fifli in it appeared as a light of the fea. He thought that he had reafon to dark fubftance. After this, its light was evidently conclude, from a great variety of experiments, that all decreafing, but was not quite gone before the 7th night. . N°i82. The L I G [ 49 ] L I G t^ght. The frefli water and the fifh in it were perfectly dark during the whole time. The thermometer was generally above 6o°. The preceding experiments were made with fea- water: but he now made ufe of other water, into which he put common or fea-falt, till he found, by an hydro¬ meter, that it was of the fame fpeclfic gravity with the fea-water; and, at the fame time, in another gallon of Water, he diffolved two pounds of fait; and into each of thefe waters he put a fmall frefh herring. The next evening the whole furface of the artificial fea-water was luminous without being ftirred; but gave much more light when it was difturbed. It appeared exactly like the real fea-Water in the preceding experiment; its light lafted about the fame time, and went off- in the fame manner: while the other water, which was aim oil as fait as it could be made, never gave any light. The herring which was taken out of it the feventh night, and wafhed from its fait, was found firm &nd fweet; but the other hening was very foft and putrid, much more fo than that which had been kept 'as long in frefh water. If a herring, in warm weather, be put into 10 gallons of artificial fea-water, inftead of one, the water, he fays, will Hill become luminous, but its light will not be fo ftrong. It appeared by fome of the fir ft obfervatiorts on this fubjeft, that heat extinguifhes the light of putref- cent fubftances. Mr Canton alfo attended to this cir- cumftance; and obferves, that though the greateft fummet heat is well known to promote putrefaction, yet 20 degrees more than that of the human blood feems to hinder it. For putting a fmall piece of a luminous fifli into a thin glafs ball, he found, that water of the heat of 118 degrees would extinguiih its light in lefs than half a minute; but that, on taking it out of the water, it would begin to recover its ligljt in about io feconds; but it was never afterwards fo bright as before., Mr Canton made the fame obfervation that Mr Ant. Martin had done, vi%. that feveral kinds of river fiih could not be made to give light, in the fame cir- cumftances in which any fea-fifh became luminous. He fays, however, that a piece of carp made the water very luminous, though the outfide, or fcaly part of it, did not fiiine at all. For the fake of thofe perfons who may choofe to repeat his experiments, he obferves, that artificial fea- water may be made without the ufe of an hydrometer, by the proportion fof four ounces avoirdupois of fait, to feven pints of water, wine-meafure. From undoubted obfervations, however, it appears, a ric ocean .i.* i • • i • i * • luminous ttlat m many places or the ocean it is covered with lumi- frnm in- nous infedts to a very confiderable extent. Mr Dagelet, fcdts. a French aftronomer who returned from the Terra Au- ftralis in the year 1774, brought with him feveral kinds of worms which fhine in water when it is fet in motion; and M. Rigaud, in a paper inferted (if we are not mif- taken' in the Journal des S^avans for the month of March 17 70, affirms, that the luminous furface of the fea, from the port of Breft to the Antilles, contains an immenfe quantity of little, round, fhining poly- Vol. X. Part I. pufes of about a quarter of a line in diameter. Other Light, learned men, who acknowledge the exiftence of thefe —Y"”"* luminous animals, cannot, however, be ptrfuaded to confider them as the caufe of all that light and fcintil- lation that appear on the furface of the ocean: they think that fome fubftance of the phofphorus kind, ari- fing from putrefaftion, muft be admitted as one of the caufes of this phenomenon. M. Godehoue has pub- lifhed curious obfervations on a kind of fifh called in French honife, already mentioned; and though he has obferved, and accurately deferibed, feveral of the lumi¬ nous infefts that are found in fea-water, he is, never- thelefs, of opinion, that the fcintillation and flaming light of the fea proceed from the oily and greafy fub¬ ftances with which it is impregnated. The abb£ Nollet was long of opinion, that the light of the fea proceeded from ele&ricity (a); though he afterwards feemed inclined to think, that this pheno¬ menon was caufed by fmall animals, either by their lu¬ minous afpeft, or at leaft by fome liquor or effluvia which they emitted. He did not, however, exclude other caul’es ; among thefe, the fpawn or fry of fifh de- ferves to be noticed. M. Dagelet, failing into the bay of Antongil, in the ifland of Madagafcar, obferved a prodigious quantity of fry, which covered the furface of the fea above a mile in length, and which he at firft took for banks of fand on account of their colour; they exhaled a difagreeable odour, and the fea had appear¬ ed with uncommon fplendor fome days before. The fame Accurate obferver, perceiving the fea remarkably luminous in the road of the Cape of Good Hope du- * ring a perfeft calm, remarked, that the oars of the ca- * noes produced a whitifh and pearly kind of luftre ; when he took in his hand the water which contained this phofphorus, he difeerned in it, for fome minutes, glo¬ bules of light as large as the heads of pins. When he prefled thefe globules, they appeared to his touch like a foft and thin pulp ; and fome days after the fea was covered near the coafts with whole banks of thefe little fifh in innumerable multitudes. To putrefaction, alfo, fome are willing to attribute T^nis/atuuj. that luminous appearance which goes by the name of ignis faluus, to which the credulous vulgar aferibe very extraordinary and efpecially mifehievous powers. It is mdft frequently obferved in boggy places and near rivers, though fometimes alfo in dry places. By its appearance benighted travellers are faid to have been fometimes mifled into marfhy places, taking the light which they faw before them for a candle at a diftance; from which feemingly mifehievous' property it has been thought by the vulgar to be a fpirit of a malignant nature, and been named, accordingly Will with a wifpy or Jack with a lanthorn; for the fame reafon alfo it probably had its Latin name ignis fatuus. This kind of light is faid to be frequent about bury¬ ing places and dung-hills. Some countries are alfo remarkable for it, as about Bologna in Italy, and fome parts of Spain and Ethiopia. Its forms are fo un¬ certain and variable that they can fcarce be deferibed, efpecially as few philofophical obfervers ever had the good fortune to meet with it. Dr Derham, however, G happened (a). This hypothefis was alfo maintained in a treatife publiflied at Venice in 1746, by an officer in the Auftrian fervice, under the title, Ddl’ EUtreafmt. L I G r 50 ] L I G Light- happened one night to perceive ene of them, and got fo near that he could have a very advantageous view of it. This is by no means eafy to be obtained ; for, among other Singularities of the ignis faluus, it is obferved to avoid the approach of any perfon, and fly from place to place as if it was animated. That which Dr Derham obferved was in fome boggy ground betwixt two rocky hills; and the night was dark and calm ; by which means, probably, he was enabled to advance within two or three yards of it. It appeared like a complete body of light without any divifion, fo that he was fure it could not be occafioned by infefts as fome have fuppofed ; the feparate lights of which he cOuld not have failed to diltinguifh, had it been occafioned by them. The light kept dancing about a dead thiftle, till a very flight motion of the air, oc¬ cafioned, as he fuppofed, by his near approach to it, made' it jump to another place; after which it kept flying before him as he advanced. M. Beccari en¬ deavoured to procure all the intelligence he could concerning this phenomenon, by inquiring of all his acquaintance who might have had an opportunity of observing it. Thus he obtained information that two of thefe lights appeared in the plains about Bologna, the one to the north, and the other to the fouth, of that city, and were to be feen almoft every dark night, efpecially that to the eaftward, giving a light equal to an ordinary faggot. The latter ap¬ peared to a gentleman of his acquaintance as he was travelling; moved conftantly before him for about a mile; and gave a better light than a torch which was carried before him. Both thefe appearances gave a very llrong light, and were conftantly in motion, though this was various and uncertain. Sometimes they would rife, fometimes fink; but commonly they would hover about fix feet from the ground; they would alfo frequently difappear on a fudden, and appear again in fome other place. They differed alfo in fize and figure, fometimes fpreading pretty wide, and then con- tratding themfelves; fometimes breaking into two, and then joining again. Sometimes they would appear like waves, at others they would feem to drop fparks of fire : they were but little affetted by the wind; and in wet and rainy weather were frequently obferved to caft a ftronger light than in dry weather : they were alfo obferved more frequently when fnow lay upon the ground, than in the hotteft fummer; but he was affured that there was not a dark night throughout the whole year in which they were not to be feen. The ground to the eaftward of Bologna, where the largeft of thefe appearances was obferved, is a hard chalky foil mixed with clay, which will re¬ tain the moifture for a long time, but breaks and cracks in hot weather. On the mountains, where the foil is of a loofer texture, and lefs capable of retaining moifture, the ignes fafui were lefs. From the beft information which M. Beccari was able to procure, he found that thefe lights were very frequent about rivers and brooks. He concludes his narrative with the following lingular account. “An intelligent gentleman travelling in the evening, between eight and nine, in a mountainous road about ten miles fouth of Bologna, perceived a light which Ihone very ftrangely upon fome ftones which lay on the banks 4 of the river Rioverde. It feemed to be about two Mght. feet above the ftones, and not far from the water. In ——v~" fize and figure it had the appearance of a parallelepiped, fomewhat more than- a foot-- in length, and half a foot high, the longeit fide being parallel to the horizon. Its light was fo-ftrong, that he could plainly difeera by it part of a neighbouring hedge and the water of the river ; only in the eaft corner of it the light-was rather faint, and the fquare figure lefs perfect, as if it was cut off or darkened by the fegment of a circle. On examining it a little nearer, he was furprifed to find that it changed gradually from a bright red, firft to a yellowifti, and then to a pale colour, in proportion as he drew nearer ; and when he came to the place itfelf, it quite vaniihed. Upon this he ftepped back, and not only faw it again, but found that the farther he went from it, the ftronger and brighter it grew. When he examined the place of this luminous, appearance, he could perceive no fmell nor any other mark of fire.” This account was confirmed by another gentleman, who informed M. Beccari, that he had feen the fame light five or fix different times in fpring and in autumn ; and that it always appeared*of the fame fliape, " and in the very fame place. One night in particular,, he obferved it come out of a. neighbouring field to fettle in the ufual place.. A very remarkable account of an ignis fatuus is given by Dr Shaw in his Travels td the Holy Land. It appeared in the valleys of mount Ephraim, and at¬ tended him. and his company for more than an hour,. Sometimes it would appear, globular, or in the ft ape of the flame of a candle ; at others it would fpread to fuch a degree as to involve the whole company in a pale inof- fenfive light, then contract itfelf, and fuddenly difap¬ pear ; but in lefs than a minute would appear again ; fometimes running fwiftly along, it \vou*l expand itfelf at certain intervals over more than two or three acres of the adjacent mountains. The atmofphere from the beginning of the evening had been remarkably thick and hazy ; and the dew, as they felt it on the bridles of their horfes, was very clammy and unttuous. Lights refembling the ignis fatuus are fometimes obferved at fea, ikipping about the mafts and rigging of ftips; and Dr Shaw informs us, that he has feen thefe in fuch weather as that juft mentioned when he faw the ignis fatuus in Paleftine. Similar appearances have been obferved in various other fitnations ; and we are told of one which appeared about the bed of a woman in Milan, furrounding it as well as her body entirely. This light fled from the hand which ap¬ proached it; but was at length entirely difperfed by the motion of the air. Of the fame kind alfo, moft pro¬ bably, are thofe fmall luminous appearances which fome¬ times appear in houfes or near them, called in Scot¬ land Elf-candles, and which are fuppofed to portend the death of fome perfon about the houfe. In general thefe lights are harmlefs, though not always; for we have accounts of fome luminous vapours which v^ould encompafs ftacks of hay and corn, and fet them on fire; fo that they became objefts of great terror and concern to the country people. Of thefe it was obferved, that they would avoid a drawn fword, or ftarp-pointed iron inftrument, and that they would be driven away by a great noife ; both which methods were L 1 G [5 light were made ufe o? to diflxpate them ; and it was iike- wife obferved, that they came from fome diitance, as it were on purpofe to do mifchief. Several philofophers have endeavoured to account for thefe appearances, but hitherto with no great fuccefs ; nor indeed does there feem to be fufficient data for folving ail their phenomena. Willoughby, Ray, and others, have imagined that the light was occafioned by a number of fhining infefts; but this opinion was never fupported in fuch a manner as to gain much ground. The ignis fatuus feen by Dr Derham above mentioned, as well as all the other inftances we have related, feem to demonftrate the contrary. Sir Ifaac Newton calls it a vapour fhin- ing without heat} and fuppofes that there is the fame difference between the vapour of ignis fatuus and flame, that there is between the fhining of rotten wood and burning coals. But though this feems gene¬ rally to be the cafe, there are ftill fome exceptions, as has been inftanced in the vapours which fet fire to the flacks of corn. Dr Prieflley fuppofes that the light is of the fame nature with that produced by putref-. cent fubflances ; and others are of opinion, that the ele&rical fluid is principally concerned; but none have attempted to give any particular folution of the phenomena. From the frequent appearance of the ignis fatuus in marfhes, moifl ground, burying places, and dung¬ hills, we are naturally led to conclude, that putrefaction is concerned in the production of it. This procefs, we know, is attended with the emiffion of an aqueous fleam, together with a quantity of fixed, inflam¬ mable, phlogifticated, and alkaline airs, all blended to- ■ gether in one common vapour. It is likewife attend¬ ed with fome degree of heat; and we know that there are fome vapours, that of fulphur particularly, which become luminous, with a degree of heat much lefs than that fufficient to fet fire to combuftible bodies. There is no inconfiftency, therefore, in fuppofing that the putrid vapour may be capable of fhining with a ftill fmaller degree of heat than that of fulphur, and confe- quently become luminous by that which putrefaction alone affords. This would account for the ignis fatuus, were it only a fleady luminous vapour arifing from places where putrid matters are contained; but its extreme mobility, and flying from one place to an¬ other on the approach of any perfon, cannot be account¬ ed for on tl Iri principle. If one quantity of the putrid vapour become i luminous by means of heat, all the reft ought to do fo likewife : fo that though we may allow heat and putrefaction to be concerned, yet of neceflity we mult have recourfe to fome other agent, which cannot be any other than eleCtricity. Without this it is impoffible to conceive how any body of move- able vapour fhould not be carried away by the wind; but, fo far is this from being the cafe, that the igms futui defcribed by M. Beccari were but little affected by the wind. It is befides proved by undoubted experi¬ ment, that electricity always is attended with fome degree of heat; and this, however fmail, may be luffieient to give a luminous property to any vapour on which it aits ftrongly ; not to mention, that the eleCtric fluid itfelf is no other than that of light, and may therefore by its aCtion eafily produce a luminous appearance independent of any vapour. i 1 L I G We have a ftrong proof that electricity is con* Light, cerned, or indeed the principal agent, in producing " » "r the ignis fatuus from an experiment related by Dr Priellley of a flame of this kind being artificially pro¬ duced. A gentleman, who had been making many eleCtrical experiments for a whole afternoon in a fmall room, on going out of it, obferved a flame following him at fome little diftance. This, we have no reafoa to doubt, was a true ignis fatuus, and the circumftances neceflary to produce it were then prefent, viz. an atmofpKere impregnated with animal vapour, 5nd likewife ftrongly eleCtrified. Both thefe circumftances undoubtedly muft have taken place in the prefent cafe ; for the quantity of perfpiration emitted by a human body is by no means inconfiderable ; and it as well as the eleCtricity would be collected by reafon of the fmallnefs of the room. In this cafe, however, there feems to have been a confiderable difference between the artificial ignis fatuus and thofe commonly met with; for this flame followed the gentleman as he went out of the room ; but the natural ones commonly fly from thofe who approach them. This may be ac¬ counted for, from a difference between the eleCtricity of the atmofphere in the one room and the other; in which cafethe flame would naturally be attracted towards that place where the eleCtricity was either different in quality or in quantity ; but in the natural way, where all bodies may be fuppofed equally eleCtrified for a great way round, a repulfion will as naturally take place. Still, however, this does not feem to be always the cafe. In thofe inftances where travellers have been attended by an ignis fatuus, we cannot fuppofe it to have been influenced by any other power than what we call attraBion, and which eleCtricity is very ca¬ pable of producing. Its keeping at fome diftance is likewife eafily accounted for; as we know that bodies poffeffed of different quantities of eleCtricity may be made to attraCl one another for a certain fpace, and then repel without having ever come into contaft. On this principle we may account for the light which furrounded the woman at Milan, but fled from the hand of any other perfon. On the fame principle may we account for thefe mifehievous vapours which fet fire to the hay and corn ftacks, but were driven away by prefenting to them a pointed iro'n inftrument, or by making a noife. Both thefe are known to have a great effeCt upon the eleCtric matter; and by means of. either, even lightning may. occafionally be made to fall upon or to avoid particular places, according to the circumftances by which the general mafs happens to be affeCted at that time. On the whole, therefore, it feems molt probable, that the ignis fatuus is a collection of vapour of the pu- trefeent kind, very much affeCted by eleCtricity; ac¬ cording to the degree of which, it will either give a weak or ftrong light, or even let fire to. certain fub- ftances difpofed to receive its operation. This opinion feems greatly to be confirmed from fome luminous appearances obferved in privies, where the putrid vapours have even colleCted tbemfelves into balls, and exploded violently on the approach of a candle. This lalt effeCt, however, we cannot fo well aferibe to the eleCtricity, as to the accenfion of the inflammable air which frequently abounds in fuch glaces. In the appendix to Dr Prieftley’s third volume of G 2 experiments L I G [ 52 ] L I G JLight. experiments and obfervations on air, Mr Warltire gives an account of feme very remarkable ignes fatal, which he obferved on the road to Bromfgrove, about five miles from Birmingham. The time of obfervat/on was the 12th of December 1776, before day-light. A great many of thefe lights were playing in an Adjacent field, in different direftions ; from fome of which there fuddenly fprung up bright branches of light, fome- thing refembling the explofion of a rocket that con¬ tained many brilliant ftars, if the difeharge was up¬ wards, inftead of the ufual direction, and the hedge and trees on each fide of the hedge were illuminated. This appearance continued but a few feconds, and then the jack-a-lanterns played as before. Mr Warl¬ tire was not near enough to obferve if the apparent explofions were attended with any report. Cronftedt gives it as his opinion, that tgnh fatuus, as well as the meteors called falling furs, are owing to collections of inflammable air raifed to a great height in the atmofphere. But, with regard to the latter, the vaft height at which they move evidently (hows that they cannot be the effeft of any gravitating vapour ^ whatever; for the lightell inflammable air is one-twelfth ef that of the common atmofphere : and we have no reafon to believe, that at the diftance of 40 or 50 miles from the earth, the latter has near t't of its weight at the furface. From the account given by Mr Warltire, we fltould be apt to conclude, that there is a ftrong affinity betwixt the ignes fatui and fire-balls, infomuch that the one might be very eafily converted into the other. From this then we muft aferibe an eleftrical origin to the one as well as the other. EleCtricity, we know, can aflume both thefe appearances, as is evident in the cafe of points ; or even when the atmofphere is vio¬ lently eleftrified, as around the firing of an eleClrical kite, which always will appear to be furrounded with a blue flame in the night, if the eleCtricity be very ftrong. On the whole, it appears, that eleCtricity aCting up¬ on a fmall quantity of atmofpherical air, with a certain degree of vigour, will produce an appearance refem¬ bling an ignis fatuus ; with a fuperior force it will pro¬ duce a fire-ball; and a fudden increafe of ekCtrical power might produce thofe fparks and apparent ex¬ plofions obferved by Mr Warltire. The only diffi¬ culty therefore is, Why does eleCtricity exert its power upon one portion of the atmofphere rather than another, feeing it has an opportunity of diffufing it- felf equally through the whole ? To this it feems im- poffible to give any other reafon than that we fee the faCt is fo 5 and that in all cafes where there is a quan¬ tity of eleClrified air or vapour, there will be an accu¬ mulation in one part rather than another. Thus, in the experiment already related, where the gentle¬ man perceived a blue flame following him, the whole air of the room was eleClrified, but the greateft power of the fluid was exerted on that which gave the lumi¬ nous appearance. With regard to the ufes of the ignes fatui in the fyftem of nature, we can only fay, that they feem to be accidental appearances refulting from the motion of the eleClrig fluid, and are, no doubt, like other meteors, fubfervient to the prefervation of its equilibrium, and thus are ufeful in preventing thofe dreadful commo¬ tions which enfue when a proper n^edium for fo doing t ttefickqt. A light in fome refpeCls fimilar to thofe above men- Idgirt. tioned has been found to proceed from that celebrated ~v - chemical production called phofphorus, which always tends to decompofe itfelf, fo as to take fire by the aecefs phofphoriftj of air only. Phofphorus, therefore, when it emits light, light, is properly a body ignited; though when, a very fmall quantity of it is ufed, as what is left after, draw¬ ing it over paper, or what may be diflblved in eflfential oil, the heat is not fenfible. But perhaps the matter which emits the light in what we call putrefeent fib- fiances may be fimilar to it, though it be generated by a different procefs, and burn with a lefs degree of heat. Putrefcence does not feem to be neceffary to the light of glow-worms, or of the pholades; and yet their light is fufficiently fimilar to that of (hining wood or flefh. EleCtric light is unqueftionably fimilar to that of phof¬ phorus, though the fource of it is apparently very dif¬ ferent. Kunckel formed his phofphorus into a kind of pills about the fize of peas, which being moiftened a little, and feraped in the dark, yielded a very confiderable light, but not without fmoke. The light was much more pleafing when eight or ten of thefe pills were put into a glafs of water; for being ftiaken in the dark, the whole glafs feemed to be filled with light. Kunc¬ kel alfo reduced his phofphorus into the form of lar¬ ger ftones ; which being wanned by a perfon’s hand, and rubbed upon paper, would deferibe letters that were very legible in the dark. The greateft variety of experiments with the light of phofphorus was made by Dr Slare ; who lays, that the liquid phofphorus (which is nothing more than the folid phofphorus diffolyed in any of the effential oils) would not hurt even a lady’s hand ; or that, when the hands or face were walhed with it, it would not only make them vifible to other perfona in the dark, but that the light was fo confiderahle as to make other neighbouring objefts vifible. When the folid phofphorus is quite immerfed in wa¬ ter, he obferves that it ceafes to fhine ; but that if any part of it chance to emerge, or get into the air, it will ftiine though the glafs be hermetically fealed. In a large glafs he kept it without water for feveral days } and yet it continued fliining, with very little diminu¬ tion of its light or weight. If the letters that were written with this phofphorua were warmed by the fire, they prefently became dark lines, which continued up¬ on the paper, like ink. To try how nveh light was given by a fmall quantity of this phofphorus, he obfer¬ ved that it continued to flame in the open air for feven or eight days; the light being vifible whenever he ftmt his window. As air was generally thought to contain the pabu¬ lum of flame, Dr Slare was determined to try this with refpeCt to phofphorus; and for this purpofe he placed a large piece of it in a receiver ; hut upon exhaufting it, he perceived that it became more luminous, and that, upon admitting the air, it returned to its former ftate. This property of the light of phofphorus, which is the very reverfe of that of Ihiriing wood and fifties, was alfo afeertained by feveral very accurate experiments of Mr Haukfbee’s. Endeavouring to blow the phofphorus. into a flame with a pair of bellows, Dr Slare found that it was pre¬ fently blown out, and that it was a confiderable tiiuc before Lie F 53 1 . L I G before the light revived again. All liquors would ex- brought into the dark room, it mujl be expofed to the tinguiih this light when the phofphorus was put into fun-fhine, or at leaft to the open day-light, to imbibe ^ them ; nor would it fliine or burn, though it was even a fufficient quantity of rays ; and this is done in one boiled in the moll inflammable liquors, as oil of olives, minute, or even lefs ; eight or ten feconds having fpirit of turpentine, or even fpirit of wine. been found to furnilh as much light as a ftone is ca- In order to keep his phofphorus from confuming, pable of receiving; and when brought into the dark, he ufed to put it in a glafs of water 5 and fometimes he has feen it, when thus immerfed in water, make fuch bright and vigorous corufcations in the air, as, he fays, its light continues about twelve or thirteen minutes, weakening all the while by infenfible degrees. It is ^ ^ . very remarkable, that in bodies fo extremely flmilarto would furprife and frighten thofe who are not ufed to each other as diamonds are, fome fliould have this pro. the phenomenon. This fiery meteor, he fays, is con- perty of imbibing the fun’s rays, and Ihining in the dark, and that others Ihould not ; yet fo it is found to be by experiment, and the moll nearly refembling Hones fhall be found one to have this property, and trafted in its pafiage through the water, but expands as foon as it gets above it. If any perfon would make this experiment to advantage, he informs them that the glafs mull be deep and cylindrical, and not above three another to be dellitute of it; while many of the moil quarters filled with water. This effect he perceived in warm weather only, and never in cold. The phofphorus of which we .have been treating is prepared from urine 1 but in fome cafes the fweat, which is fimilar to'urine, has -been obferved to be phofphora- Afla Cefa- ceous, without any preparation. This once happened rienfa, to a perfon who ufed to eat great quantities of fait, and voi. v. who was a little fubjeft to the gout, after fweating P- 334* violent exercife. Stripping himfelf in the dark, his Ihirt feemed to be all on fire, which furprifed him very much. Upon examination, red fpots were found upon his Ihirt; and the phyfician who was prefent per- dilfimilar have the property in common. There feems to be no rule, nor even the leall traces of any imper- fe£t rule of judging, which diamonds have, and which have not this property ; their natural brightnefs, their purity, their fize, or their fhape, contribute nothing to it; and all that has been yet difeovered of the leall re¬ gularity among them, is, that all the yellow diamonds have this property. This may probably arife from their having more fulphur in their compofition, and therefore illuminating more readily,, or emitting a more vifible flame. The burning of diamonds is a term ufed among the ceivedan urinous fmell, though it had nothing in it of jewellers, for putting them into a fierce fire, as they volatile alkali, but of the muriatic acid; the fame, he frequently do, when they are fouled with brown, cr fays, that ilfues from cabbage much falted, and llrong- yellow, or the like ; this always divells them of their 4*. All thefe lights ly fermented. The eafiell method of accounting for all thefe kinds of lights, perhaps, is from ele&ricity. If light confifts counted for in a certain vibration of the eledlric fluid f, then it fol- from elec- lows, that in whatever fubftances fuch a vibration takes tr'city- place, there light mull appear, whether in putrefeent tU-Zj-y. fC* an'mal fubftances, fea-water, phofphorus, or any thing elfe. We know that the eledtric matter pervades all terreftrial fubftances, and is very liable to be fet in mo¬ tion from caufes of which we are ignorant. The ac¬ tion of the air by which putrefaction is produced may be one of thefe caufes ; and it can by no means appear colour, without doing them the leaft fenfible injury. M. du Fay, having been informed of this common prac¬ tice, formed a conjedture, that the difference of dia¬ monds in their Ihining, or not fhining in the dark, was owing to it; and that either all thofe which had been burnt, or all thofe which had not, were thofe which alone (hone in the dark. But this was found an erro¬ neous conjedlure ; for two diamonds, one lucid in the dark, the other not, were both burnt, and afterwards both were found to retain the fame properties they had before. It is not only the open funflune, or open day-light, which gives to thefe diamonds the power of furprifing that the eledlric matter fhould adt in the bo- ftiining in the dark ; they receive it in the fame manner. dies-of living animals in fuch a manner as to produce permanent- light, when we certainly know it adls in fome of them fo powerfully as to produce a ftiock fimi¬ lar to that of a charged vial. On this fubjedl we ftiall only obferve farther, that when this vibration be- even jf laid under a glafs, or plunged in water or in milk. M. du Fay tried whether it was pofiible to make the diamond retain, for any longer time, the light it natu¬ rally parts with fo foon ; and found, that if the dia- comes fo powerful as to penetrate the folid fubftance of mond, after being expofed to the light, be covered the body itfelf, the luminous body then becomes tranf- with black wax, it will fliine in the dark, as well fix parent, as in the milk mentioned in the former part of hours afterwards as at the time it was firft impreg- this article ; but, when it is only fuperficial, the body, nated with the light. though it emits light, is itfelf opaque. Light from Diamonds. Among luminous bodies the diamond is to be reckoned; as fome diamonds are known to fliine in the dark. But on account of the feeblenefs The imbibing light, in this manner, being fo nice a property as not to be found in feyeral diamonds, it was not to be fuppofed that it would be found in any other ftones: accordingly, on trial, the ruby, the fap- of their fplendor, it is neceffary for the perfon who is phire, and the topaz, were found wholly deftitute of to obferve them, previoufly to ftay in the dark at leaft a quarter of an hour; that the pupil of the eye may be dilated and enlarged, and fo rendered capable of certainty of thefe accidents. and among a large number of rough emeralds, one only was found to poffeft it. Such is the ftrange un¬ receiving a larger quantity of the rays of light. M. du Fay has alfo obferved, that the eyes ought to be ftiut for this time, or at leaft one of them ; and that, in that cafe, the light of the diamond is afterwards only feen by All the other lefs precious Hones were tried, and found not to pofiefs this property of imbibing light from the day-light or fun-fliine, but they all became luminous by the different means of heating or fridtion 5 that eye which has been ftiut. Before the diamond is with this difference, that fome quired it by one of thefe L I G [ 54 1 ^ I G tli'efe methods, and others by the other; each being unaffected by that which gave the property to the other. The diamond becomes luminous by all thefe ways. Beccarius alfo difeovered, that diamonds bavO the property of the Bolognian phofphorus, about the fame time that it occurred to M. du Fay. Com. Bomn. vol. ii. p. 276. M. du Fay likewife obferved, that the common topaz, when calcined, had all the properties of this phofphorus ; and purfuing the difeovery, he found the fame property, in a great degree, in the belemni- tes, gypfum, lime-ftone, and marble : though he was obliged to diffolve fome very hard fubftances of this kind in acids, before calcination could produce this change in them; and with fome fubftances he could not fucceed even thus; efpecially with flint-ftones, ri* ver-fand, jafpecs, agates, and rock-cryital. Light from Plants. In Sweden a very curious phe¬ nomenon has been obferved on certain flowers by M. Haggern, lecturer in natural hiftory. One evening he perceived a faint flafh of light repeatedly dart from a marigold. , Surprifed at fuch an uncommon appear¬ ance, he refolved to examine it with attention ; and, to be affured it was no deception of the eye, he placed a man near him, with orders to make a fignal at the moment when he obferved the light. They both faw it conftantly at the fame moment. The light was moft brilliant on marigolds of an orange or flame colour; but fcarcely vifible on pale ones. The flafh was frequently feen on the fame flower two or three times in quick fuccefiion ; but more common¬ ly at intervals of feveral minutes : and when feveral flowers in the fame place emitted their light together, it could be obferved at a confiderable diftance. This phenomenon-was remarked in the months of July and Auguft at fun-fet, and for half an hour, when the atmofphere was clear; but after ayainy day, or when the air was loaded with vapours, nothing of it was feen. The following flowers emitted flafhes, more or lefs vivid, in this order: 1. The marigold, galendula officinalis. 2. Monk’s-hood, tropalum majus. 3. The orange-lily, lilium bulbiferum. 4. The Indian pink, tagetes potula & ereBa. To difeover whether fome little infedls or phofpho- ric worms might not be the caufe of it, the flowers were carefully examined, even with a microfcope, with¬ out any fuch being found. From the rapidity of the flafh, and other circumftan- ces, it may be conjeftured that there is fomething of ele&ricity in this phenomenon. It is well known, that when the piftil of a flower is impregnated, the pollen burfts away by its elafticity, with which electricity may be combined. But M. Haggern, after having obferved the flafh from the orange lily, the anthers; of which are a confiderable fpace diftant from the petals, found that the light proceeded from the petals only ; whence he concludes, that this electric light is caufed by the pol¬ len, which, in flying off, is fcattered on the petals. Whatever be the caufe, the effedt is Angular and highly curious. Lights, in painting, are thofe parts of a piece which are illuminated, or that lie open to the luminary, by which the piece is fuppofed to be enlightened ; and Light which, for this reafon, are painted in bright vivid co* .. JL lours. *■ In this fenfe, light is oppofed to fhadow. Different lights have very different effects on a pic¬ ture, and occaiion a difference in the management of every part. A great deal therefore depends on the painter’s choofing a proper light for his piece to be illuminated by; and a great deal more, in the condudt of the lights and fhadows, when the luminary is pitched upon. The ftrength and relievo of a figure, as well as its gracefulnefs, depend entirely on the management -of the lights, and the joining of thofe to the fhadows. The light a figure.receives is either direct or reflec¬ ted ; to each of which fpecial regard muft be had. The ‘ dodtrine of lights and fhadows makes that part of painting called chair vbfeure. LiGtif-Horfc) an ancient term in our Englifh cuf- toms, fignifying an ordinary cavalier or horfeman lightly armed, and fo as to enter a corps or regiment; in oppofition to the men at arms, who were heavily ac¬ coutred, and armed at all points. See Light-HoRSE. LtGHT-Houfe, a building erected upon a cape, or pro¬ montory on the fea-coaft, or upon fome rock in the fea, and having on its top in the night-time a great fire, or light Formed by candles, which is conftantly attended by fome careful perfon, fo as to be feen at a great diftance from the land. It is ufed to direct the ihipping on the coaft, that might otherwife run afhore, or fleer an improper courfe when the darknefs of the flight and the uncertainty of currents, &c. might ren¬ der their fituation with regard to the fhore extremely doubtful. Lamp-lights are, on many accounts, pre¬ ferable to coal-fires or candles ; and the effedt of thefe may be increafed by placing them either behind glafs- hemifpheres, or before properly dffpofed glafs or me¬ tal reflectors, which lafl method is now very generally adopted. See Beacons. LiGHT-Room, a fmall apartment, inclofed with glafs- windows, near the magazine of a fliip of war. It is ufed to contain the lights by which the gunner and his afliftants are enabled to fill cartridges with powder to be ready for adtipn. LIGHTER, a large, open, flat-bottomed veflel, generally managed with oars, and employed to carry goods to or from a fhip when fhe is to be laden or de¬ livered.— There are alfo fome lighters fuxnifhed with a deck throughout their whole length, in order to con¬ tain thofe merchandifes which would be damaged by rainy weather : thefe are ufually called clofe lighters. LIGHTFOOT (John), a moft learned Englifh divine, was the fon of a divine, and born in March 1602, at Stoke upon Trent in Staffordfhire. After having finifhed his ftudies at a fchool on Morton-green near Congleton in Chefhire, he was removed in 1617 to Cambridge, where he applied himfelf to eloquence, and fucceeded fo well in it as to be thought the belt orator of the under-graduates in the univerfity.- He alfo made an extraordinary proficiency in the Latin and Greek ; but neglected the Hebrew, and even loft that knowledge he brought of it from fchool. His ' tafte for the oriental languages was not yet excited; and as for logic, the ftudy of it, as managed at that time among the academics, was too quarrelfome and fierce L l G l 55 3 L I G Lightfoof. fieyCe for his quiet and meek dlfpofition. As foon as he had taken the degree of B. A. he left the univer- fity, and became affiftant to a fchool at Repton in Derbyihire. After he had fupplied this place a year ■ 7 or two, he entered into orders, and became curate of Norton under Hales in Shropfhire. This curacy gave an OCcaiion of awakening his genius for the Hebrew tongue. Norton lies near Bellaport, then the feat of Sir Rowland Cotton.; who was his coaftant hearer, made him his chaplain, and took him into his houfe. This gentleman being a perfedl mailer of the Hebrew language, engaged Lightfoot in that lludy; who, by converting with his patron, foon became fenfible that without that knowledge it was impoflible to attain an accurate underilanding of the fcriptures. He there¬ fore applied himfelf to it with extraordinary vigour, and in a little time made a great progrefs in it: and his patron removing with his family to reiide in Lon¬ don, at the requeil of Sir Alland Cotton his uncle, who was lord-mayor of that city, he followed his pre¬ ceptor thither. But he did not ftay long there : for, having a mind to improve himfelf by tiavelling abroad, he went down into Staffordihire to take leave of his father and mother. Faffing through Stone in that county, he found the place dellitute of a miniiter: and the preffing inftances of thd pariffiioners prevailed up¬ on him to undertake that cure. Hereupon, laying afide his defign of travelling abroad, he began to turn his thoughts upon fettling at home. During his refi- dence at Bellaport, he hadfallen into the acquaintance of a gentlewoman who was daughter of William Cromp¬ ton of Stonepark, Efq; and now, being in polfeffion of that living, he married her in 1628. But not- withftanding this fettlement, his unquenchable third after rabbinical learning would not fuffer him to con¬ tinue there. Sion-college library at London, he knew, was well docked with books of that kind. He there¬ fore quitted his charge at Stone, and removed with his family to Hornfey, near the city ; where he gave the public a notable fpecimen of his advancement in thofe ftudies, by his “ Erubhim, or Mifcellanies Chriilian and Judaical,” in 1629. He- was at this time only 27 years of age ; and appears to have been well ac¬ quainted with the Latin and the Geeek fathers^ as well as the ancient heathen writers. Thefe firft fruits of his iludies were dedicated to Sir Rowland Cotton ; who, in 1631, prefented him to the redlory of Affiley in Staffordffiire. He feemed now to be fixed for life : Accordingly, be built a ftudy in the garden, to be out of the noife of the houfe ; and applied himfelf with indefatigable diligence in fearching the fcriptures. Thus employ¬ ed, the days palled very agreeably; and he continued quiet and unmolefted,. till the great change which happened in the public affairs brought him into a lhare of the adminiftratipn relating to the church; for he was nominated a member of the memorable affembly of divines for fettling a new form of ecclefiaftical po- ?ity. This appointment was purely, the effect of his dillinguilhed merit;. and he accepted it purely with a view to ferve his country, as far as lay in his power. The non-refidence, which this would neceffarily occa- fion, apparently induced him to refign his rectory: and having obtained the prefentation for a younger brother, he fet out for London in 1642.. He had now fatisfied himfelf in clearing up many of the abllruleft Lightfuot. paffages in the Bible, and therein had provided the chief —— materials, as well as formed the plan, of his “ Harmo* nyand an opportunity of infpedting it at the prel's was, no doubt, an additional motive for his going to the capital: where he had not been long before he was chofen miniiter of St Bartholomew’s, behind the Royal Exchange. The affembly of divines meeting in 1643, our author gave his attendance diligently there, and made a diftinguilhed figure in their debates ; where he ufed great freedom, and gave fignal proofs of his courage as well as learning, in oppofing many of thofe tenets which the divines were endeavouring to eftablilh. His learning recommended him to the parliament, whofe vifitors, having ejedted Dr William Spurltow from the mafterlhip of Catharine-hall in Cambridge, put Lightfoot in his room, this year 1653 ; and he was alfo prefented to the diving of Much-Munden in Hertfordlhire, void by the death of Dr Samuel Ward, Margaret-profeffor of divinity in that univerlity, before the expiration of this year. Meanwhile he had his turn with other favountes in preaching before the houfe of commons, molf of which fermons were printed ; and in them we fee him warmly preffing the fpeedy fettlement of the church in the Prefbyterian form, which he cor¬ dially believed to be according to the pattern in the Mount. He was all the while employed in preparing and publilhing the feveral branches of his-Harmony ; all which were fo many excellent fpecimens of the ufeful- nefs of human learning to true religion : and he met with great difficulties and difcouragements in that work, chiefly from that antieruditional fpirit which prevailed^, and even threatened the deftrudtion of the univerfities. In 1655 he entered upon the office of vice-chancellor of Cambridge, to which he was chofen that year, ha¬ ving taken the degree of dodtor of divinity in 1652. He performed all the regular exercifes for. his degree with great applaufe, and executed the vice-chancellor’s office with exemplary diligence and fidelity ; and, par¬ ticularly at the commencement, fupplied the place of profeffor of divinity, then undifpofed of, as an a£l which was kept for a doctor’s degree in that profeffion. At the fame time he was engaged with others in perfedling the Polyglott Bible, then in the prefs. At the Relto- ration he offered to refign-the mafterthip of Catharine- hall: But, as what he had done had been rather in compliance with the neceffity of the times, than from any zeal, or fpirit of oppoiltion to the king and govern¬ ment, a confirmation was granted him from the crown^ both of the place and of his living. Soon after this he was appointed one of the affiftants at the conference upon the .liturgy, which was held in the beginning of 1:661, but attended only once or twice ; probably-dif- gufted at the heat with which that conference was ma¬ naged. However, he ttuck clofe to his defign of per- fedling his Harmony : and being of a ftrong and heal¬ thy conftitutioa, which was aflSted by an exa6l tem¬ perance, he profecuted his ftudies with unabated vi¬ gour to the laft, and continued to publifli, , notwith- ftanding the many difficulties he met with from the ex¬ pence of it. However, not, long before he died, fome hookfellers got a promife from him to colie61 and me¬ thodize his works, in order to print them ; but the ex¬ ecution was prevented by his death, which happened Dec. 6. 1675. The do6lor was twice married : his full, L I G l c6 ] L I G firfl \dfe, already mentioned, brought him four fons and two daughters. His fecond wife was likewife a widow, and relift of Mr Auftin Brograve, uncle of Sir Thomas Brograve, Bart, of Hertfordlhire, a gentle¬ man well verfed in rabbinical learning, and a parti¬ cular acquaintance of our author. He had no iffue by her. She alfo died before him. and was buried in Munden church; where tire doftor was himfelflike¬ wife interred near both his wives. Dr Lightfoot’s \yorks were collefted and publifhed firft in 1684, in two volumes folio. The fecond edition was printed at Amfterdam, 1686, in two volumes folio, containing all his Latin writings, with a Latin tranflation of thofe which he wrote in Englilh. At the end of both thefe editions there is a lift of fuch pieces as he left unfinifh- ed. It is the chief of thefe, in Latin, which make ■ up the third volume, added to the former two, in a third'edition of his works, by John Leufden, at Utrecht, in 1699, fob They were communicated by Mr Jptrype, who, in 1700, published another colleftion of thefe papers, under the title of “ Some genuine re¬ mains of the date pious and learned Dr John Light- foot. LIGHTNING, a bright and vivid flafh of fire, fuddenly appearing in the atmofphere, and commonly difappearing in an inftant, fometimes attended with clouds and thunder, and fometimes not. x The phenomena of lightning are always furprifing, different and fometimes very terrible ; neither is there any kind *PP~0f natural appearance in which there is more diverfity, ' not two dallies being ever obferved exaftly fimilar to one another. In a ferene Iky, the lightning, in this country at leaft, almoft always hath a kind of indi- ftinft appearance without any determinate form, like the fudden illumination of the atmofphere occafioned by firing a quantity of loofe gunpowder; but when accompanied with thunder, it is well defined, and hath very often a zig-zag form. Sometimes it makes only- one angle, like the letter V, fometimes it hath fe- veral branches, and fometimes it appears like the arch of a circle. But the moft formidable and deftruftive form which lightning is ever known to affume is that of balls of fire. The motion of thefe is very often eafily perceptible to the eye ; but wherever they fell, much mifehief is occafiosed by their burfting, which they always do with a ludden explofion like that of fire-arms. Sometimes they will quietly run along, or reft for a little upon any tiling, and then break into feveral pieces, each of which will explode; or the whole ball will burft at once, and produce its mifehievous effefts only in one place. The next to this in its deftruftive effefts is the zig-zag kind ; for that which appears like indiftinft flames, whofe form cannot be readily obferved, is feldom or never known to do hurt.—The colour of the lightning -alfo indi¬ cates in fome meafure its power to do mifehief; the paleftand brighteft flafties being moft deftruftive; fuch as are red, or of a darker colour, commonly doing lefs damage. 2 . A very' furprifing property of lightning, the zig- oninipre-11^ zaS kind efpecially when near, is its feeming omni- fence. prefence. If two perfons are ftanding in a room look¬ ing different ways, and a loud clap of thunder accom¬ panied with zig-zag lightning happens, they will both diftinftly fee the flafh, not onlv by that indi- N° 182. ftinft illumination of the atmofphere which is occa-lngfeLsg. fioned by fire of any kind; but the very form of the lightning itfelf, and every angle it makes in its courfe, will be as diftinftly perceptible, as though they had looked direftly at the cloud from whence it proceeded,. If a perfon happened at that time to be looking on a book, or other objeft which he held in his hand, he would diftinftly fee the form of the lightning between him and the objeft at which he looked. This pro¬ perty feems peculiar to lightning, and to belong to no other kind of fire whatever. The effefts of lightning" are generally confined with- in a fmall fpace; and are feldom fimilar to thofe which abie efFe>$k afecompany explofions of gun-powder, or of inflam-of ILht- mable air in mines. Irtftances of this kind, however, n*no> have occurred; the following is one of the moft re¬ markable of which we have any diftinft account. “ Auguft 2. 1763, about fix in the evening, there arofe at Anderlight, about a league from Bruffels, a conflift »f feveral winds borne upon a thick fog. This conflift lafted four or five minutes, and was attended with a frightful hilling noife, which could be compared to nothing but the yellings of an infinite number of wild beafts. The cloud then opening, difeovered a kind of very bright lightning, and in an inflant the roofs of one fide of the houfes were carried off and difperfed at a diftance-; -above 1000 large trees were broke off, fome near the ground, others near the top, fome torn up by the roots; and many both of the branches and tops carried to the diftance of 60, 100, or 120 paces } Whole coppices were laid on one fide, as corn is by ordinary winds. The glafs of the win¬ dows which were moft expofed was Ihivered to pieces. A tent in a gentleman’s garden Was carried to the diftance'of 4000 paces; and a branch torn from a large tree, ftruek a girl in the forehead as Ihe was coming into town, at the diftance of 4© paces from the trunk of the tree, and killed her on the fpot.” Thefe terrible effefts feem to have been owing to the prodigious agitation in the air, occafioned by the emiffiori of fuch a vaft quantity of lightning at once; or perhaps to the agitation of the eleftric fluid itfelf, which is ftill more dangerous than any concufiion of the atm&fphere; for thunder-ftorms will fometimes produce moft violent whirlwinds, fuch as are by the heft philofophers attributed to eleftricity, nay, even occafion an agitation of the waters of the ocean itfelf; and all this too after the thunder and lightning had ceafed.—Of this we have the following inftances. “ Great Malvern, Oftober 16. 1761. On Wed- nefday laft," we had the moft violent thunder ever known in the memory of man. At a quarter paft four in the afternoon I was furprifed with a moft fliocking and difmal noife; 100 forges (the neareft refemblance I can think of), were they all at work at once, could fcarce equal it. I ran to the fore-door, and cafting my eye upon the fide of the hill about 400 yards to the fouth-weft of my Loufe, there ap¬ peared a prodigious fmoke, attended with the fame violent noife. I ran back into the houfe, ahd cried out, a volcano (for fo I thought) had burft out of the hill; but I had no fooUer got back again, than I found it had defeended, and-was palling on within about 100 yards of the Couth end of my houfe. It feemed to rife again in the meadow juft below it; and 6 con- LIC [ 57 3 LIG lightning, continued Its progrefs to the eaft, riling In the fame —v manner for four different times, attended with the fame difmal noife as at firft; the air being filled with a naufeous and fulphureous fmell. I faw it gradually decreafe till quite extinguxlhed in a turnip-field about a quarter of a mile below my houfe. The turnip leaves, with leaves of trees, dirt, fticks, &c. filled the air, and flew higher than any of thefe hills. The thunder ceafed before this happened, and the air foon afterwards became calm and ferene.”—The vaft co¬ lumn of fmoke mentioned in the above letter was fo large, that a phyfician of eminence at Worcefterfawit in its progrefs down the hill, about a mile from Fec- kenham, which is above 20 miles from Malvern.—In Auguft 1763, a moft violent .ftorm of thunder, rain, and hail, happened at London, which did damage in the adjacent country, to the amount of 50,000!. Hailftones fell of an immenfe fize, from two to ten inches circumference ; but the moft furprifing circum- ftance was the fudden flux and reflux of the tide in Plymouth pool, exaft’ly correfponding with the like agitation in the fame place, at the time of the great earthquake at Lifbon. Inftances are alfo to be found, where lightning, by its own proper force, without any affiftance from thofe lefs common agitations of the atmofphere or eledlric fluid, hath thrown ftones of immenfe weight to con- fiderable dift.ances ; torn up trees by the root, and broke them in pieces; (battered rocks; beat down houfes, and fet them on fire, &c. Extraordi- A very Angular effeft of lightning is mentioned in nary effects the 66th volume of the Philofophical Tranfa&ions, ofhghtnii.g Up0n a pyed bullock. It happened in the county of bullock.6 Suffex about the end bf Auguft 1774. The bullock was white and red ; and the lightning ftripped off the white hair leaving the red untouched. The following is a particular account of the matter. “ In the evening of Sunday, the 28th of Auguft, there w*as an ap¬ pearance of a thunder-ftorm, but we heard no report. A gentleman who was riding near the marfhes not far diftant from this town (Lewes) faw two ftrong flafbes of lightning, feemingly running along the ground of the marfh, at about nine o'clock in the evening. On Monday morning, when the fervants of Mr Roger, a farmer at Swanborough, in the parifh of Iford, went into the marfh to fetch the oxen to their work, they found one of them, a four-year-old fleer, Handing up to appearance much burnt, and fo rveak as to be fcarce able to walk. The animal feemed to have been ftruck by lightning in a very -extraordinary manner, fie is of a white and red colour; the white in large marks, beginning at the rump bone, and running in various directions along both the fides; the belly is all white, and the whole head and horns white likewife. The lightning, wuth which he muft have been undoubtedly ftruck, fell upon the rump bone, which is white, and -diftributed itfelf along the fides in fuch a manner as to take off all the hair from the white marks as low as the bottom of the ribs, but fo as to leave a lift of white hair, about half an inch broad, all round where it joined to the red, and not a Angle hair of the red appears to be touched. The whole belly is unhurt, but the end of the (heath of the penis has the hair taken off; it is alfo taken off from the dewlap: the horns and the curled hair on the forehead are uninjured; but Vol. X. Part I. the hair is taken off from the fides of the face, from Lightning. the flat part of the jaw-bones, and from the front of the face in ftripes. There are a few white marks on the fide and neck, which are furrounded with red; and the hair is taken off from them, leaving half an inch of white adjoining to the red. The farmer anointed the ox wiih oil for a fortnight; the animal purged very much at firft, and was greatly reduced in flefli, but is now recovering.” In another account of this accident, the author fup- pofes that the bullock had been lying down at the time he was ftruck ; which (hows the reafon that the under parts were not touched. “ The lightning, conducted by the white hair, from the top of the back down the fides, came to the ground at the place where the white hair was left entire.” The author of this account lays, that he inquired of a Mr Tooth a farrier, whether he ever knew of a fimi- lar accident; and that he told him “ the circumftance was not new to him ; that he had feen a great many pyed bullocks ftruck by lightning in the fame manner as this ; that the texture of the (kin under the white hair was always deftroyed, though looking fair at firft; but after a while it became fore, throwing out a pu- tiid matter in puftules, like the fmall-pox with us, which in time falls off, when the hair grows again, and the bullocks receive no farther injury which was the cafe with the bullock in queftion. In a fubfequent letter, however, the very fame author informs us, that he had inquired of Mr Tooth “ whether he ever faw a ftroke of lightning aftually fall upon a pyed bullock, fo as to deitroy the white hair, and (how evident marks of burning, leaving the red hair uninjured? He faid he never did; nor did he recollecl any one that had. He gave an account, however, of a pyed horfc, be-C)n ^ fi(j longing to himfelf, which had been ftruck dead by hotfe. lightning in the night-time.” The explofion was fo violent, that Mr Tooth imagined his houfe had been ftruck, and therefore immediately got up. On going into the ftable he found the horfe almoft dead to ap¬ pearance, though it kept on its legs near half an hour before it expired. The horfe was pyed white on the (boulder and greateft part of the head; viz. the fore¬ head and nofe, where the greateft force of the ftroke came. “ The hair was not burnt nor difcoloured, only fo loofened at the root, that it came off with the lead touch. And this is the cafe, according to Mr Tooth’s obfervation, with all that he has feen or heard of; viz. the hair is never burnt, but the ikin always aftedled as above mentioned. In the horfe, all the blood in the veins under the white parts of the head was quite ftagnated, though he could perceive it to flow in other parts as ufual; and the (kin, together with one fide of the tongue, was parched and dried up to a greater degree than he had ever feen before.” Another inftance is mentioned of this extraordinary effedl of lightning upon a bullock, in which even the fmall red fpots on the fides were unaffecled ; and in this, as well as the former, the white hair on the un¬ der part of tlie belly, and on die legs, was left un¬ touched. All thefe, however, are to be confidered as the more unufual phenomena of lightning ; its common mode of a&ion being entirely fimilar to that of a char¬ ged Leyden vial, where the eledric matter difeharges H itfelf L I G [ 58 1 L I G Ughtning. ftfelf from a fubftance pofitively eleftrified to one that t-~—v is negatively fo. The indentity of electric matter and lightning feems now, indeed, fo well eftabliihed, that there is not the leaft foundation for feeking any other folution of the phenomena of lightning, than what may be obtained by comparing them with thofe of . 6 . our eleftrical experiments. The different forms of the between ^ Aa:^es are ah exemplified in thofe of electrical fparks. «le the refiftance of the atmofphere is no longer able to confine it. In general, the lightning breaks out from the eleCtrified cloud by means of the approach of fome conducting fubftanee; either a cloud, or fome terre- ftrial fubftance: but the fire-balls feem to be formed, not becaufe there is any fubftance at hand to attraCt the eleCtric matter from the cloud, but becaufe the eleCtricity is accumulated in fuch quantity that the cloud itfelf can no longer contain it. Hence fuch balls fly off flowly, and have no particular deftination. Their appearance indicates a prodigious commotion and ac¬ cumulation of eleCtricity in the atmofphere, without a proportionable difpofition in the earth to receive it. This difpofition, however, we know, is perpetually al¬ tered by a thoufand circumftances, and the place which firft becomes moft capable of admitting eleCtricity will certainly receive a fire-ball. Hence this kind of light¬ ning has been known to move flowly backwards and forwards in'the air for a confiderable fpace of time, and then fuddenly to fall on one or more houfes, accord¬ ing to their being more or lefs affeCted with an eleCtri¬ city oppofite to that of the ball at the time. It will alfo run along the ground, break into feveral parts, and produce feveral explofions at the fame time. It is very difficult to imitate lightning of this kind in our eleCtrical experiments. The only cafes in which it hath been done in any degree are thofe in which Dr Prieftley made the explofion of a battery pafs for a con¬ fiderable way over the furface of raw flefh, water. See. and in Mr Arden’s experiment, when a fire-ball afeended to the top of an eleCtrified jar, and burft it- with a violent explofion. See Electricity n° 89, &c. In thefe cafes, if, while the eleCtric flafti paffed over the furface of the flefti, it had been poffible to inter¬ rupt the metallic circuit by taking away the chain, the eleCtric matter difcharged from the battery would have, been precifely in the fituation of one of- the ftre~ balk L I G t 59 ] L I G I lightning, balls above-mentioned ; i. e. it would have been at a , v lofs for a conductor. The negative fide of the battery - was the place of its deftination ; but to that it would not have eaiily got, becaufe of the great quantity of atmofphere which lay in its way, and the incapacity of the neighbouring bodies to receive it. But, while the ele&ric matter was thus ftationary for want of a conductor, if any perfon ftanding near, or touching the negative fide of. the battery, prefented a finger to that feemingly inoffenfive luminous body, he would in- ftantly be ftruck very violently; becaufe a free com¬ munication being now made by means of his body, the powers by which the eleftric fluid is impelled from one place to another would inftantly urge it upon him. But if we fuppofe a perfon, who hath no com¬ munication with the battery, to prefent his finger to the fame body, he may perhaps receive a flight fpark from it; but not a (hock of any confequence, becaufe there is not a perfedt communication by means of- his body with the place to which the electric fire is deftined. 10 Hence we may account for the feemingly capricious lightning nature of lightning of all kinds, but efpecially of that in general kind which appears in the form of balls. Sometimes accounted ft will Itrike trees, high houfes, fteeples, and towers, kr< without touching cottages, men, or other animals, who are in the neighbourhood. In fuch cafes, people would be apt to fay that the neighbourhood of thefe higher objedts preferved the others from the "ftroke ; but with little reafon, fince low houfes, men walking in the fields, cattle, nay the furface of the earth itfelf, have all been ftruck, while high trees and fteeples in the neighbourhood have not been touched. In like manner, fire-balls have palled very near certain per- fons without hurting them, while they have, as it were, gone confiderably out of their way to kill others. The reafon of all this is, that in thunder-ftorms there is fionftantly a certain zone of earth confiderably under the furface, which the lightning defires (if we may ufethe expreffibn) to ftrike, becaufe it hath an eledtricity oppo- fite to that of the lightning itfelf, Thofe objedts, there¬ fore, which form the moft perfedt condudtors between the eledtrified clouds and that zone of earth, will be ftruck by the lightning, whether they are high or low; and becaufe we know not the condudting quality of the diflerent terreftrial fubftances, the fuperftitious are apt to afcribe ftrokes of lightning to the divine ven¬ geance againft particular perfons, whereas it is cer¬ tain that this fluid, as well as others, adts according to invariable rules from which it is never known to de- i ■ part. Lightning, in the time of fevere thunder-ftorms, is fuppofed to proceed from the earth, as well as from the clouds: but this fadt hath never been well afcer- tained, and indeed from the nature of the thing it feems very difficult to be afcerfained; for the motion of the eledtric fluid is fo very quick, that it is altoge¬ ther impoflible to determine, by means of our fenfes, ■whether it goes from the earth or comes to it. In fadt, there are in this country many thunder ftorma in which it doth not appear that the lightning touches any part of the earth, and confequently can neither go to it nor come out from it. In thefe cafes, it flafhes cither from an eledtrified cloud ,to one endowed with an oppofite eledtricity, or merely into thofe parts of Lightning, the atmofphere which are ready to receive it. But if 'r~J not only the clouds, but the atmofphere all the way be¬ twixt them and the earth, and likewife for a coniider- able fpace above the clouds, are eledtrified one way, the earth muft then be ftruck. The reafon of this will appear from a confideration of the principles laid down under the article Electricity, fedt. vi. It there ap¬ pears, that the eledtric fluid is altogether incapable" ei¬ ther of accumulation or diminution in quantity in any particular part of fpace. What we call eledricity is only the motion of this fluid made perceptible to our fenfes. Pofitive eledtricity is when the current of eledtric mat¬ ter is diredted from the eledtrified body. Negative eledtricity is when the current is diredted towards it. Let us now fuppofe, that a pofitively eledtrified cloud is formed over a certain part of the earth’s furface. The eledtric matter flows out from it firft into the at*- mofphere a(l round ; and while it is doing fo, the at¬ mofphere is negatively eledtrified. In proportion, however, as the eledtric current pervades greater and greater portions of the atmofpherical fpace, the great¬ er is' the refiftance to its motion, till at laft the air be¬ comes pofitively eledtrified as well as the cloud, and then both adt together as one body. The furface -of the earth then begins to be affected, and it filently receives the eledtric matter by means of the trees, grafs. See. till at laft it becomes pofitively eledtrified alfo, and begins to fend off a current of eledtricity from the furface downwards. The caufes which at firft produced the eledtricity of the clouds (and which are treated of under the article Thunder), ftill continu¬ ing to adt, the power of the eledtric current becomes inconceivably great. The danger of the thunder-ftornt now begins; for as the force of the lightning is di¬ redted to fome place below the furface of the earth, it will certainly dart towards that place, and fliatter every thing to pieces which refills its paffage. The i r benefit of condudting-rods will now alfo be evident: Ufe of con¬ fer we are fure that the eledtric matter will in all 'cafes take the way where it meets with the leaft refiftance; r° and this is through the fubftance, or rather over the furface, of metals. In fuch a cafe, therefore, if there happen to be a houfe furnilhed with a condudtor di- redtly below the cloud, and at the fame time a zone of negatively eledtrified earth not very far below the foundation of the houfe, the condudtor will almoft certainly be ftruck, but the building will be unhurt. If the houfe wants a condudtor, the lightning will neverthelefs ftrike in the fame place, in order to get at the negatively eledtrified zone above mentioned ; but the building will now be damaged, becaufe the materialt of it cannot readily condudt the eledtric fluid. j t We will now be able to enter into the difpute, Whe-Whedur tlier the preference is due to knobbed or pointed con- knobbed or dubtors for preferving buildings from ftrokes of light- ^ndudors ning? Ever fince the difeovery of the identity of are'pi efa_ eledtricity and lightning, it hath been allowed by all cable, parties, that .condudtors of fome kind are in a manner effentially neceffary for the fafety of buildings in thofe countries where tliunder-ftorms are very frequent. The principle on which they adt hath been already ex¬ plained ; namely, that the eledtric fluid, when im¬ pelled by any power, always goes to that place where Hz it L I G [ 60 ] L I G lightning, {t meets with the leaft refiftance, as all other fluids • • - alfo do. As metals, therefore, are found to give the leaft refiftance to its paflage, it will always choofe to run along a metalline rod, in preference to a paf- fage of any other kind. We muft, however, care¬ fully confider a circumftance which feems to have been too much overlooked by ekftrieians in their reafon- ings concerning the efk&s of thunder-rods; namely. That lightning, or eleftricity, never ftrikes a body, merely for the fake of the body itfelf, but only be- cftufe by means of that body it can readily arrive at the place of its deftination. When a quantity of elec¬ tricity is colledted from the earth, -by means of an electric machine, a body communicating with the earth will receive a ftrong fpark from the prime con- duftor. The body receives this fpark, not becaufe it is itfelf capable of containing all the eledlricity of the conductor and cylinder, but becaufe the natural fituation of the fluid being difturbed by the motion of the machine, a ftream of it is fent off from the earth. The natural powers, therefore, make an effort to fup- ply what is thus drained off from the earth; and as the individual quantity which comes out is mdft pro¬ per for fupplying the deficiency, as not being employed in any natural purpofe, there is always an effort made for returning it to the earth. No fooner, then, is a conduCling body, communicating with the earth, prefented to the eleftrical machine, than the whole effort of the eledlricity is diredled againft that body, not merely beeaufe it is a condudlor, but becaufe it leads to the place where the fluid is diredled by the natural powers by which it is governed, and at which it would find other means to arrive, though that body were not to be prefented. That this is the cafe, we may very eafily fatisfy ourfelves, by prefenting the very fame conducing fubftance in an infulated ftate to the prime condu&or of the machine; for then we fhall find, that only a very fmall fpark will be produced. In like manner, when lightning ftrikes a tree, a houfe, or a thunder-rod, it is not becaufe thefe objects are high, or in the neighbourhood of the cloud ; but be¬ caufe they communicate with fome place' below the furface of the ground, againft which the impetus of the lightning is directed ; and at that place the light¬ ning would certainly arrive, though none of the above- mentioned objefts had been interpofed. The fallacy of that kind of reafoning generally em¬ ployed concerning the ufe of thunder-rods, will now be fufnciently apparent. Becaufe a point prefented to an electrified body in our experiments, always draws off the de&ricity in a filent manner; therefore Dr Franklin and his followers have concluded, that a pointed conductor will do the fame thing to a thunder¬ cloud, and thus •effectually prevent any kind of danger from a ftroke of lightning. Their reafoning on this fub- jeCt, they think, is confirmed by the following faCt among many others. “ Dr Franklin’s houfe at Phila¬ delphia was furniflied with a rod extending nine feet above the top of the chimney. To this rod was con¬ nected a wire of the thicknt-fs of a goofe-quill, which defcended through the wall of the ftair-cafe ; where an interruption was made, fo that the ends of the wire, to each of which a little bell was fixed, were diilant from each other about fix inches j an infulated brafs ball hanging between the two bells. The author was Lightning. : one night waked by loud cracks, proceeding from hi$ ——y—^ apparatus in the ftair-cafe. He ^perceived, that the brafs ball, inilead of vibrating as ufual between the bells, was repelled and kept at a diftance from both ; while the fire fometimes paffed in very large quick cracks di- reftly from bell to bell; and fometimes in a continued denfe white ftream, feemingly as large as his finger ; by means of which the whole ftair-cafe was enlightened, as with fun-fhine, fo that he could fee to pick up a pin. - From the apparent quantity of eleftric matter of which the cloud was thus evidently robbed, by means of the pointed rod (and of which a blunt con¬ ductor would not have deprived it), the author con¬ ceives, that a number of luch conductors muft confi- derably leffen the quantity of eleCtric fluid contained in any approaching cloud, before it comes fo near as to deliver its contents in a general ftroke.” For this very reafon, Mr Benjamin Wilfon and his followers, who conftitute the oppofite party, have de¬ termined that the ufe of pointed conductors is utterly unfafe. They fay, that in violent thunder ftorms the whole atmofphere is full of eleCtricity; and that at¬ tempts to exhauft the vaft quantity there collected, are like attempting to clear away an inundation with a fhovel, or to exhauft the atmofphere with a pair of bellows. They maintain, that though pointed bodies will effectually prevent the accumulation of eleCtricity in any fubftance; yet if a non-eleCtrified body is in¬ terpofed between a point and the conductor of an eleCtrical machine, the point will be ftruck at the fame moment with the non-eleCtrified body, and at a much • greater diftance than that at which a knob would be ftruck. They affirm alfo, that, by means of this filent folicitation of the lightning, inflammable bodies, fuch as gun-powder, tinder, and Kunckel’s phofphorus, may be fet on fire ; and for thefe laft faCts they bring decifive experiments. From all this, fay they, it is evident that the ufe of pointed conductors is unfafe. They folicit a difcharge to the place where they are ; and as they are unable to conduCt the whole eleCtricity in the atmofphere, it is impoffible for us to know whether the difcharge they folicit may not be too great for our conductor to bear ; and confequently all the mifchiefs arifing from thunder-ftorms may be expeCted, with this additional and mortifying cir¬ cumftance, that this very conductor hath probably folicited the fatal ftroke, when without it the cloud might have paffed harmlefs over our heads without Itriking at all. Here the reafoning of both parties feems equally wrong. They both proceed on this erroneous principle. That in thunder-ftorms the conductor will always folicit a difcharge, or that at fuch times all the elevated objeCts on the furface of the earth are drawing off the electri¬ city of the atmofphere. But this cannot be the cafe, unlefs the eleCtricity of the earth and of the atmo¬ fphere is of a different kind. Now, it is demonftrable, that until this difference between the eleCtricity of the atmofphere and of the furface of the earth ceafes, there cannot be a thunder-ftorm. When the atmofphere begins to be eleCtrified either pofitively or negatively, the earth, by means of the inequalities and moifture of its furface, but efpecially by the vegetables which grow L I G [ t U^htninp. grow upon it, abforbs that eleftricity, and quickly be- ^ » comes eleftrified in the fame manner with the atmo- fphere. This abforption, however, ceafes in a very fliort time, becaufe it cannot be continued without fetting in motion the whole of the ele&ric matter contained in the earth itfelf. Alternate zones of politive and negative electricity will then begin to take place belowthe furface of the earth, for the reafons mentioned under the article Electricity, fe£t. vi.-j 9. Between the atmofphere and one of thefe zones, the ftroke of the lightning always will be. Thus fuppofing the atmofphere is pofitively eleftrified, the furface of the earth will, by means of trees, &c. quickly become pofitively eleftrificd alfo; we fliall fuppofe to the depth of 10 feet. The eleftri- city cannot penetrate farther on account of the refi¬ nance of the eleftric matter in the bowels of the earth. At the depth of ro feet from the furface, therefore, a zone of negatively ele&rified earth begins, and to this zone the electricity of the atmofphere is attracted ; but to this it cannot get, without breaking through the pofitively electrified zone which lies uppermoft, and lhattering to pieces every bad conductor which comes in its way. We are very fare, therefore, that in whatever places the outer-zone of pofitively electri¬ fied earth is thinneft, there the lightning will flrike, whether a condu&or happens to be prefent or not. If there is a conductor, either knobbed or fharp-pointed, the lightning wall indeed infallibly flrike it ; but it would alfo have flruck a houfe fituated on that fpot, • ithout any conductor ; and though the houfe had not been there, it would have flruck the furface of the ground itfelf.— Again, if we fuppofe the houfe with its conduClor to hand on a part of the ground where the pofitively. electrified zone is very thick, the con¬ ductor will neither filently draw off the eleCtricity, nor will the lightning flrike it, though perhaps it may ftrike a much lower objeCt, or even the furface of the .ground itfelf, at no great diftance; the reafon of . which undoubtedly is, that there the zone of pofi¬ tively eleCtrified earth is thinner than where the con¬ ductor was. We mult alfo obfewe, that the Franklinians make their pointed conductors to he of too great confe- quence. To the houfes on which they are fixed, no doubt, their importance is very great: but in exhauft- ing a thunder-cloud of its eleCtricity, their ufe muff appear trifling ; and to infift on it, ridiculous. Innu¬ merable objeCts, as trees, grafs, &c. are all confpiring to draw off the.eleCtricity, as well as the conductor, if it could be drawn off; but of effeCting this there is an Mnpoffibiiity, becaufe they have the fame kind of eleCtri¬ city with the clouds themfelves. The conductor hath not even the power of attraS'ivg the lightning a few feet out of the direction which it would choofe of itfelf. Of this we have a moll remarkable and decifive inftance in what happened to the magazine at Purfleet in Effex, on May 15. 1777. That houfe was furnifhed with a pointed conductor, raifed above the highell part of the building ; neverthelefs, about fix in the evening of the abovementioned day, a flafh of lightning ftruck an iron cramp in the corner of the wall confiderably lower than the top of the conductor, and only 46 feet in a Hoping line diffant from the point.—This pro¬ duced a long difpute with Mr Wilfon concerning the propriety of ufing pointed conductors; and, by the 5 ] l r g favour of his majefty, he was enabled to conftruCt aLiphurng. more magnificent eleCtrical apparatus than apy private ——v— perfon could be fuppofed to ereCt at his own expence, and of which fome account is given under the article Electricity, n° 83. The only new experiments, however, which this apparatus produced, were the firing of gunpowder by the eleCtric aura, as it is called ; and a particularly violent fhock which a perfon re¬ ceived when he held a fmall pointed wire in his hand, upon which the conductor was difcliarged. We muff obferve, that the eleCtrified furface of the conductor was 620 feet; and we can have but little idea of the llrength of fparks from a conductor of this magnitude, fuppofing it properly eleCtrified. Six turns of the wheel made the difeharge felt through the whole body like the ftrong Ihock of a Leyden vial; and nobody chofe to make the experiment when the conductor had received a higher charge. A very ftrong fliock was felt, as already obferved, when this conductor, was dif- charged upon a pointed wire held in a perfon’s hand, even though the wire communicated with the earth ; which was not felt, or but very little, when a knobbed wire was made ufe of. To account for this difference may, perhaps, puzzle eleCtricians ; but with regard to the ufe of blunt or pointed thunder-rods, both experi¬ ments feem quite inconclufive. Though a very great quantity of eleCtric matter filently drawn, off will fire gunpowder, this only proves that a pointed conductor ought not to pafs through a barrel of gunpowder; and if a perfon holding a pointed wire in his hand re¬ ceived aitrong {hock from Mr Wilfon’s great conduc¬ tor, it can thence only be inferred, that in the time of thunder nobody ought to hold the conductor in their hands; both which precautions common fenfe would dic¬ tate without any experiment. From the accident at Purfleet, however, the difputants on both fides ought to have feen, that, with regard to lightning, neither points nor knobs can attratt. Mr Wilfon furely had no reafon to condemn the pointed conductor for foli- citlng the flafli of lightning, feeing it did not ftrike the point of the conductor, but a blunt cramp of iron ; neither have the Franklinians any reafon to boait of its effeCt in Jilevtly drawing off the eleCtric matter, fince all its powers were neither able to prevent the flafli, nor to turn it 46 feet out of its way. The matter of faCt is, the lightning was determined to enter the earth at the place where the board-houfe ftands, or near it. The conductor fixed on the houfe offered the eafieft communication : but 46 feet of air intervening be¬ tween the point of the conductor and the place of explolion, the refiftance was lefs through the blunt cramp of iron, and a few bricks moiftened with rain¬ water, to the fide of the metalline conductor, than through the 46 feet of air to its point; fdr the former was the way in which the lightning aCtually paffed. Mr Wilfon and his followers feem alfo miltaken in fuppofing that a pointed conductor can folicit a greater difeharge than what would otherwife happen. Allow¬ ing the quantity of eleCtricity in the atmofphere du¬ ring the tiipe of a thunder-ftorm to be as great as they pleafe to fuppofe; neverthelefs, it is impoflible that the aif can part with all its eleCtricity at once, on ac¬ count of the difficulty with which the fluid moves in it. A pointed conductor, therefore, if it does any thing at all, Can only folicit the partial difchdrge which '■Lightning. T.nrd Ma¬ hon’s theo¬ ry of light- LIC [ 62 1 L I G •which is to be made at any rate : and if none were to is evidently occafioned by the fudden re entrance of the Lightning, be made though the conductor was abfent, its prefence elefitrre fire naturally belonging to his body and to the -—"v will not be able to effeft any. fecond conduftor, which had before been expelled from An objection to the ufe of condu&ors, whether them by the a&ion of the charged prime condu&or blunt or pointed, may be drawn from the accident upon them; and which returns to its former place which happened to the poor-houfe at Heckingham, the inftant that adlion or elaftic preflure ceafes. The which was ftruck by lightning though furnilhed with author {hows, that there can be no reafon to fuppofe eight pointed condudlors; but from an accurate con- that the ele&rical difeharge. from the prime condu&or fideration of the manner in which the conductors were fiiould in this experiment divide itfelf at the inftant of fituated, it appears, that there was not a poffibility of the explofion, and go different ways, fo as to ftrike the their preventing any ftroke. See Philofophical Tran- . fecond conductor and infulated perfon in this manner, .factions, Vol. LXXII. p. 361. and at fuch a-diftance from it. In a late publication on the fubjedt of electricity by When the fecond conductor and the infulated per- Lord Mahon, we find a new kind of lightning made fon are placed in the denftjl part of the eledtrical atmo- mention of, which he is of opinion may give a fatal fphere of the prime condudtor, or jujl beyond the ftri- ftroke, even though the main explofion be at a con- kii)g diftance, the effedts are ftill more confiderable; fiderable diftance; a mile, for inftance, or more. This the returning Jlroke being extremely fevere and pungent, he calls the eleHrical reluming Jlroke ; and exemplifies it and appearing confiderably (harper than even the main in the following manner, from fome experiments made Jlroke itfelf, received diredtly from the prirfie condudtor. with a very powerful eledtrical machine, the prime This circumftance the author alleges as an unanfwer- -coududtor of which (fix feet long, by one foot diame- able proof that the effedt which he calls the returning ter) would generally, when the weather was favourable, Jlroke, was. not produced by the main Jlroke being any llrike into a brafs ball connedted with the earth, to the wife divided at the time of the explofion, fince no ejfect diftahee of 18. inches or more. In the following ac- can ever be greater than the caufe by which it is mme- count, this brafs ball, which we (hall call /], is fuppofed diately produced.— Having taken the returning Jlroke to be conftantly placed at the Jlriking dijlance ; fo that eight or ten times one morning, he felt a confiderable the prime condudtor, the inftant that it becomes fully degree of pain acrofs his cheft during the whole even- charged, explodes into it. ing, and a difagreeable fenfation in his arms and wrifts Another large condudtor, whieh we (hall call the all the next day. fecond condudor, is fufpended, in a perfedtly infulated We come now to the application of this experiment^ ftate, farther from the prime condudtor than the Jlri- and of the dodtrine deduced from it, to what paffe* king dijlance, but within its elearical aimofphcre; at the in natural electricity, or during a tlulnder-ftorm ; in diftance of fix feet, for inftance. A perfon Handing which there is reafon to expedt fimilar effedts, but on on an infulating ftool touches this fecond condudor very a larger fcale i — a fcale fo large indeed, according to lightly with a finger of his right hand ; while, with a the author’s reprefentation, that perfons and animals finger of his left hand, he communicates with the may be deftroyed, and particular parts qf buildings earth, by touching very lightly a fecond brafs ball fixed may be confiderably damaged, by an eledtrical return- at the top of a metallic Hand, on the floor, and which ing froke, dccafioned even by fome very d'Jlant explo- we (hall call B. Jion from a thunder-cloud poffibly at the diftance of While the prime condudtor is receiving its eledtricity, a mile or more, fparks pafs (at leaft if the diftance between the two It is certainly eafy to conceive, that a charged ex- ■condudtors is not too great) from the fecond condudtor tenfive thunder-cloud muft be productive of effects fi- to the infulated perfon’s right hand; while fimilar and milar to thofe produced by the author's prime conduc- fimultaneous fparks pafs out from the finger of his left tor. Like it, while it continues charged, it will, by •hand into the fecond metallic ball B, communicating the fuperinduced elaflic eleflricalpreffure of its atmofphere-, with the earth. Thefe fparks are part of the natural to ufe the author’s own expreffion, drive into the quantity of eledlric matter belonging to the feeond earth a part of the eledlric fluid naturally belonging to condudlor, and to the infulated perfon; driven from the bodies which are within the reach of its widely them into the earth, through the ball B, and its Hand, extended atmofphere ; and which will therefore become by the elaftic preffure or action of the eledtrical atmo- negatively electrical. This portion too of their eledlric fphere of the prime condudlor. The fecond condudtor fire, as in the artificial experiments, will, on the ex- and the infulated perfon are hereby reduced to a ne- plofion of the cloud, at a dijlance, and the ceffation of gative ftate. its adtion upon them, fuddenly return to them ; fo as At length, however, the prime condudtor, having to produce an equilibrium, and reftore them to their acquired its full charge, fuddenly ftrikes into the ball natural ftate. I4 A, of the firft metallic ftand, placed for that purpofe To this theory, the authors of the Monthly Review Anfwered at the Jinking dijlance of 17 or 18 inches. The ex- have given the following anfwer: “We cannot, how- by the R«- plofion being made, and the prime condudtor fuddenly ever, agree with the ingenious author, with refpedt toviewers* robbed of its eledtric atmofphere, its preffure or adtion the greatnefs of the effedts, or of the danger to be ap- on the fecond condudtor, and on the infulated perfon, prehended from, the returning Jlroke in this cafe; as we as fuddenly ceafes; and the latter iiiftantly feels a fmart think his eftimate is grounded on an erroneous founda- returningJlroke, though he has no diredt or viftble com- tion.—‘ Since (fays he) the denfity of the eledtrical at- munication (except by the floor) either with the Jlri- mofphere of a thunder-cloud is fo immenfe, when compa- king orfruck body, and is placed at the diftance of five red to the eledtrical denfity of the eledtrical atmofphere arfiK feet from both of them. This returning ftroke of any prime conductor, charged by means of any eledtri¬ cal L I G [ 63 ] L I G Lighti;!' g. cal apparatus whatfoever ; and fince a returning Jlroh, when produced by the fudden removal of even the nveak elaftic electrical preffure of the eleCtrical atmofphere of a charged prime conductor, may be extremely jlrong, as we have feen above ; it is mathematically ei'ident, that, when a returning Jlrake comes to be produced by the Judden removal of the very ftrong elaftic eleCtrical pref¬ fure of the eletlrical atmofphere of a thunder-cloud I powerfully charged ; the ftrength of fuch a returning Jlrohe muft be enormous.’ “ If indeed the quantity of eledtric fluid naturally contained in the body of a man, for inftance, were im- menfe, or indefinite, the author’s eftimate between the effefts producible by a cloud, and thofe caufed by a prime conductor, might be admitted. But furely an ekCtrified cloud,—how great foever may be its ex¬ tent, and the height of its charge when compared with the extent and charge of a prime conductor— cannot expel from a man’s body (or any other body) more than the na/ard/ quantity of eleCtricity which it contains. On the fudden removal, therefore, of the preffure by which this natural quantity had been ex¬ pelled, in confequence of the explofion of the cloud into the earth; no more (at the utmoft) than his whole naturalJlocl of eleCtricity can re-enter his body (c). But we have no reafon to fuppofe that this quantity is fo-great, as that its fudden re-entrance into his body fiiould deftroy or even injure him. “ In the experiment above defcribed, the infulated perfon receives into his body, at the inftant of the re¬ turning Jlrole, not only all that portion of his own natural eleftric fire which had been expelled from it; but likewife tranfmits through it, at the fame inftant, in confequence of his peculiar fituation, all the electric fire of which the large fecond conduftor had been robbed; and which muft neceffarily re-pafs through his body, to arrive at that conduClor. To render the cafe fomewhat parallel, in natural eleHricity, the man’s body muft be fo peculiarly circumftanced, fuppofing him to be in a houfe, that the eleCfric matter which has been expelled from the houfe into the earth, by the preffure of an extenfive thunder-cloud, could not return back into the building, on the explofion of the cloud at a di- ftance, without paffing through his body: a cafe not likely to happen, unlefs the houfe were infulated {like the feeoiid conductor in the preceding experiment), and his body became the channel through which alone the houfe could have its eleClric matter reftored to it; it appears much more probable that the eleClric mat¬ ter returns to the houfe through the fame channels by which it before infenfibly paffed out, and with equal filence, though more fuddenly. “ In the eafe of a man who is abroad, and in aeUglttning. open field, during the time of an explofion :—as he is “—“v ' unconnected with other maffes of matter above him, no more than the precife quantity of eleClric fire, which had been before expelled from his body, will fuddenly return into it at the inftant of a diftant explofion : and that this quantity is not ufually very large, may be in¬ ferred from many confiderations. “ When a perfon ftanding on the ground holds a pair of Mr Canton’s balls in his hand, while a highly charged thunder-cloud is fufpended over his head; the angle made by the balls indicates the eleBrlcalfate of that perfon, or the quantity of natural eleClricity of which his body is at that time deprived, by the aClion ' of the {poflively) charged cloud hanging over him. But we have never feen the repulfion of the balls fo confiderable, as to furnifh any juft apprehenfions that the return of his natural eleftric matter, however fud¬ den, could be attended with injury to him: nor would' he be fenfible of any commotion on the balls fuddenly coming together; though a fpark might undoubtedly be perceived, at that inftant, were he infulated, and placed in the fame manner with the author when he tried the above-related experiment. “ The author neverthelefs obferves, that ‘ there have been inftances of perfons who have been killed by na¬ tural eleftricity, having been found with XheXr Jhoes torn, and with their feet damaged by the cleftrical fire ; but who have not had, over their w'hole body, any other apparent marks of having been ftruck with lightning.’ He adds, ‘ if a man walking out of doors were to be killed by a returning Jlrokc, the eleftrical fire would ruftx into that man’s body through his fet, and his feet only ; which would not be the cafe, were he to be' killed by any main Jlrole of explofion, either poiitive or negative.’ “ It would be no difficult tafk, we think, to account for thefe appearances in a different manner; were all the circumftances attending the cafe minutely afeer- tained: but without interrogating the dead on this fubjeft, we may more fatisfaftorily appeal to the ex¬ perience of the living (b), to fhow, that though the ret urning frole muft take place, in all thunder-ftorms, in fame degree or other i yet it is not of that alarming magnitude \vhich the author aferibes to it. If, in any particular thunder-ftorm,, a man in the open fields could- be killed, at the inftant of a diftant explofion, merely by the .return of his own eleftric. lire, which had before been driven out of his body; furely numerous obfer- vations of perfons who had experienced the returning frole, infighter degrees, would be familiar ; and fcarce a great thunder-ftorm muft have occurred, in which (c) “ We fuppofe the perfon not to be fo fituated, that the returning fre of other bodies muft neceffarily pafs through his body.” (d) “ The author does indeed produce a living evidence, in the cafe of a perfon at Vienna, who, he has been credibly informed, received an eleftrical fhock, by having held one hand accidentally in contaft with an interrupted metallic condufting rod, at the inftant that a thunder-cloud exploded at the diftance, as was con- jeftured, of above half an Englilh mile. Helikew'ife obferves, that a ‘ very ftrong, bright, and fudden frolef' (or fpark) of elefttical fire has been feen, by feveral eleftricians, to pafs in the interval, or interruption, pur- pofely left in the condufting rod of a houfe at the inftant of a diftant explofion; and ‘ when it was fully- proved, by the fharp point of the conduftor not being melted, or even tinged,’ that the conduftor itfelf had not been ftruck.—Thefe obfervations, however, do not by any means prove the magnitude ox. danger of the. re*- turning ftroke, but merely its exfence ; which we do not eonteft.” L I G [ 64 ] L I G lightning', one perfon or another muft not, at the inftant of an v*—'v-~~ expl0f10I1} have felt the effe&s of the returningJlroha, in fom? degree or other— from that of a violent concujjion, to that of a flight and almoft imperceptible pulfation. But no obfervations of this kind are known to us; nor have we ever heard of any perfon's experiencing any kind of ele&rical commotion in a thunder-ftorm, except fuch as have either been directly ftruck, or have hap¬ pened to be in the wry rear neighbourhood of tire fpot where the explofion took place. “ The author has been aware of this objection, which he propofes, and endeavours to remove: but his anfwerto it amounts to little more than what has been already quoted from him; that is, to a Ample efli- mate of the enormous difference between the elfc&rical denfity, or the elajlic electricalprejfure, of the atmofphere of an extenflve thunder cloud, and ’ that of a charged prime conductor. We have already obferved, that this is not the proper method of eflimating their different effects, when thefe two caufes, how unequal foever in power, are conlidered as exerting that power on bodies containing a limited and comparatively /mall, quantity of eledlric matter. “ We have been induced to difeufs this fubjeft thus particularly, with a view to quiet the minds of the ti¬ morous; as the author’s extenflon of his principles, re- fpefting the returning flroke in artificial electricity, to what paffes in natural eleftricity, holds out a new, and, in our opinion, groundlefs fubjeft of terror to thofe who, in the midft of their apprehenAons, have hitherto only dreaded the effefts of a thunder-ftorm when it made near approaches to them ; but who, if this doftrine were believed, would, never think them- felves in fecurity while a thunder-cloud appeared in Aght, unlefs fheltered in a houfe furnifhed with pro¬ per condu&ors: —for we fhould not omit to remark, that a fubfequent obfervation tends to diminifh their fears, by fhowing that high and pointed conductors tend to fecure both perfons. and buildings againft the va¬ rious effects of any returningJlroke whatever, as well as of the main/roke.” A late melancholy accident which happened in Scot¬ land has afforded 'Lord Mahon an opportunity of bringing additional arguments in favour of his fyftem. An account of this accident is given by Patrick Bry- aWeaeci* done, Efq; F. R. S. in the 77th volume of the Philo- dent by an fophical Tranfactions. It happened on the 19th of electrical July 1785, near Coldftftream on the Tweed.- The from ti°n *norn’rl£> was ^ne» with the thermometer at 68 '; but earth." 6 aiJ<,ut eleven o’clock the fky became obfeured with clouds in the fouth-eaft : and betwixt twelve and one a ftorm of thunder and lightning came on. This ftorm was at a conftderable diftance from Mr Brydone's houfe, the intervals between the flalli and crack being from 25 to 30 feconds, fo that the place of exploAon muft have been betwixt flve and Ax miles off: but while our author was obferving the progrefs of the ftorm, he was fuddenly furprifed with a loud report, neither preceded nor accompanied by any flafh of light¬ ning, which refembled the exploAon of a great num¬ ber of mufkets, in fuch quick fucceffion, that the ear could fcarcely diferiminate the founds. On this the thunder and lightning inftantly ceafed, the clouds be¬ gan to feparate, and the fky foon recovered its fereni- ty. In a little time Mr Brydone was informed, that No 182. a man with two horfes had been killed by the thun. Ivvhminp, der; and, on running out to the place, our author v—■*, found the two horfes lying on the fpot where they had been ftrft ftnjck, and ftill yoked to the cart. As the body of the man who was killed had been carried off, Mr Brydone himfelf had not an opportunity of exa¬ mining it, but was informed by Mr Bell, miniiter of Coldftream, who faw it, that the fkin of the right thigh was much burnt and fhrivelled ; that there were many marks of the fame kind all over the body, but none on the legs : his clothes, particularly Ins fhirt, had a ftrong fmell of burning; and there was a zig¬ zag line of about an inch and a quarter broad, extend¬ ing from the chin to the right thigh, and which feem- ed to have followed the direfition of the buttons of his waiufroat. The body was buried in two days without any appearance of putrefaction. Mr Brydone was informed by another perfon who accompanied him that was killed, of the particular cir- cumftances. They were both' driving carts loaded with coals; and James Lauder, the perfon who was kdled, .had the charge of the forfcmoft cart, and was fir¬ ing on the fore part of it. They had crofted the Tweed a few minutes before at a deep ford, and had almoft gained the higheft part of an afeent of about 65 or 70 feet above the bed of the river, when he was ftunned with the report above mentioned, and ftuv his companion with the horfes and cart fall down. On running up to him, he found him quite dead, with his face livid, his clothes torn in pieces, and a great fmell of burning about him. At the time of the exploAon he was but about 24 yards diftant from Lauder’s cart, * and had him full in view when he fell, but felt no fliock, neither did he perceive any flafh or appearance of Are. At the time of the explofion his horfes turned round, and broke their harnefs. The horfes had fallen on their left Ade, and their legs had made a deep im- preflion on the duff; which, on lifting them up, fhowed the exa£t form of each leg, fo that every principle of life feemed to have been extinguifhed at once, without the leaf! ftrnggie or convulAve motion. The hair was Anged over the greateft part of their bodies," but was moft perceptible on their belly and legs. Their eyes were dull and opaque, as if they had been long dead, though Mr Brydone faw them in half an hour after the accident happened. The joints were all fupple, and he could not obferve that any of the bones were broken or diffolved, as is And. to be fometimes the cafe with thofe who are killed by lightning. The left fhaft of the cart was broken, and fplinters had been thrown off in many places ; particularly where the timber of the cart was connedted by nails or cramps of iron. Many pieces of the coal were thrown to a conAderable di¬ ftance ; and fome of them had the appearance of being fome time on a Are. Lauder’s hat was torn into in¬ numerable.fmall pieces ; and fome part of his hair was ftrongly united to thofe which had compofed the crown of it. About four feet and a half behind each wheel of the cart he obferved a circular hole of about 20 inches diameter, the centre of which was exadtly in the track of each wheel. The earth was torn up as if by violent blows of' a pick-ax; and the fmall ftoncs and dull were fcattered on each fide of the road. The tracks of the wheels were ftrongly marked in the duft, both before and behind thefe holes, but did not in the fmalfeft L I G [ 65 ] L I G lightning, fmallefl; degree appear on the fpots themfelves for up- ‘ wards of a foot and a half. There were evident marks of fufion on the iron rings of the wheels; the fur- face of the iron, the whole breadth of the wheel, and for the length of about three inches, was become blu- iih, had loft its polifh and fmoothnefs, and was formed into drops which projected fenlibly, and had a roundifli form ; but the wood did not appear any way injured by the heat which the iron muft have conceived. To deter¬ mine whether thefe were made by the explofion which had torn up the ground, the cart was pufhed back on the fame trails which it had defcribed on the road,; and the marks of fufion were found exactly to correfpond with the centres of the holes. They had made almoll half a revolution after the explofion; which our author afcribes to the cart being pulled a little forward by the fall of the horfes. Nothing remarkable was obferved on the oppo- fite part of the wheel. The broken ground had a fmell fomething like that of ether; the foil itfelf was very dry and gravelly. The cataftfophe was likewife obferved by a fliepherd, at the diftance of about 200 or 300 yards from the fpot. He faid, that he was looking at the two carts going up the bank when he heard the report, and faw the fore- fnoft man and horfes fall down ; but obferved no light¬ ning, nor the leaft appearance of fire, only he faw the dull rife about the place. There had been feveral flaflies of lightning before that from the fouth-eaft ; whereas the accident happened to the north-weft of the place where he ftood. He was not fenfible of any (hock. Our author next gives an account of feveral pheno- menetta which happened the fame day, and which were evidently conceited with the explofion. A (hepherd tending his flock in the neighbourhood, obferved a lamb drop down ; and faid, that he felt at the fame time as if fire had palled over his face, though the lightning and claps of thunder were at a confiderable diftance. He ran up to the creature immediately, but found it quite dead ; on which he bled it with his knife, and the blood flowed freely. The earth was not torn up ; nor did he obferve any dull rife, though he was only a few yards diftant. This happened about a quarter of an hour before Lauder was killed, and the place was only about 300 yards diftant. About an hour before the explofion, two men Hand¬ ing in the middle of the Tweed, filhing for falmon, were caught in a violent whirlwind, which felt fultry and hot, and almoft prevented them from breathing. They could not reach the bank without much difficul¬ ty and fatigue ; but the whirlwind lafted only a very ftiort time, and was fucceeded by a perfe£t calm. A woman making hay, near the banks of the river, fell fuddenly to the ground, and called out that Ihe had received a violent blow on the foot, and could not imagine from whence it came ; and Mr Bell, the mi- nifter above mentioned, when walking in his garden, a little before the accident happened to Lauder, felt 16 feveral times a tremor in the ground. UrBry- The conclufion drawn from thefe facts by Brydone clufiori/0" that at t^le time tlie exph)fion the equilibrium from the between the earth and the atmofphere feems to have fads. been completely reftored, as no more thunder was heard nor lightning obferved ; the clouds were dif- pelled, and the atmofphere refumed the moft perfedl tranquillity : “ But how this vaft quantity of eledtric matter (lays he.) could be difcharged fiom the one ele- Vol.X. Part I. ment to the other, without any appearance of fire, I Lightning* ffiall not pretend to examine. From the whole it —~v would appear, that the earth had acquired a great fu- perabundance of electrical matter, which was every where endeavouring to fly off into the atmofphere. Perhaps it might be accounted for from the exceffive drynefs of the ground, and for many months the al¬ moft total want of rain, which is probably the agent that nature employs in preferving the equilibrium be¬ tween the two elements.” Lord Mahon, now Earl Stanhope, whofe obfervations Arguments on this accident are publifhed in the fame volume, en- drawn by deavours to eftablilh the following pofitions as fails. Earl Stan- 1. That the man and horfes were not killed by any jV dtrccl main Jlroke of explojion from a thunder-cloud ei- fyftem. ther pofitively or negatively eleitrified. 2. They were not killed by any tranfmitud main Jlroke either pofitive or negative. 3. The mifehief was not done by any lateralexphfwn. All thefe are evidently true, at leaft with refpeil to lightning at that time falling from the clouds ; for all the lightning which had taken place before was at a great diftance. 4. They were not fuffocated by a fulphureous va¬ pour or fmell which frequently accompanies electricity'. This could not account for the pieces of coal being thrown to a confiderable diftance all round the cart, and for the fplinters of the wood which were thrown off from many parts of the cart. 5. It might be imagined by fome that they were killed by the violent commotion of the atmofphere, occafioned by the vicinity of the eledlrical explofion, in a manner fimilar to the fatal wounds that fometimes have been known to have been given by the air having been fuddenly difplaced by a cannon-ball in its paffage through the atmofpherical fluid, though the cannon¬ ball itfelf had evidently neither ftruck the perfon wounded nor grazed his clothes. The dull that rofe at the time of the explofion might be brought as an ar¬ gument in favour of the opinion, that a hidden and vio¬ lent commotion of the air did occafion the effects pro¬ duced. But fuch an explanation would not account for the marks of fufion on the iron of the wheels, nor for the hair of the horfes being finged, nor for the Ikin of Lauder’s body having been burnt in feveral places. 6. From thefe different circumftances hisLordfhip is of opinion, that the effedls proceeded from electricity; and that no eledrical fre did pafs immediately, either from the clouds into the cart, or from the cart into the clouds. From the circular holes in the ground, of about 20 inches diameter, the refpective centres of which were exactly in the track of each wheel, and the correfponding marks of fufion in the iron of the wheels, it is evident that the eletfrical fire did pafs from the earth to the cart, or from the cart to the euVth, through that part of the iron of the wheels which was in con¬ tact with the ground. From the fplinters which had been thrown off in many places, particularly where the timber was connefted by nails or cramps of iron, and from various other effedls mentioned in Mr Bry- done’s account, it is evident, that there muft have been a great commotion in the eleftrical fluid in all, or at leaft in different parts of the cart, and in the bodies of the man and horfes, although there were no lightning. 7. All thefe phenomena, his lordfhip argues, may be explained in a fatisfadlory manner from the doftrine I already l i o r 1 tightning. already laid down concerning the returning ftroke. Be- T'"“J fore entering upon the fubjedl of the main cxploiion, however, he takes notice of the other phenomena al¬ ready mentioned in Mr Brydone’s account. With regard to the cafe of the lamb, his lordfhip is of opinion, that it belongs to the moft fimple clafs of returning ftrokea, viz. that which happens at a place where there is neither thunder nor lightning near ; and that it may be produced by the fudden removal of the elaltic eleftrical preffure of the eleftrical atmofphere of a Jingle main cloud, as well as of an afiemblage of clouds. It appears (fays he) by Mr Brydone’s account, that the Ihepherd who faw the lamb fall, was near enough to it to feel, in a fmall degree, the eleftrical returning Jlroke at the fame time .that the lamb dropped down. —The blow which the woman received on the foot was unqueftionably the returning ftroke. AVhen a perfon. walking, or Handing, out of doors, is knock¬ ed down or killed by the returning ftroke, the elec¬ trical fire muft rufh in, or rulh out, as the cafe may be, through that perfon’s feet, and through them only ; which would not be the cafe were the perfon to be killed by any main ftroke of explofion either pofitive tnan and horfes were killed, his lordfliip premifes, that, according to Mr Brydone’s account, the cloud muft have been many miles in length; inafmuch as juft be¬ fore the report, the lightning was at a confiderable di- ftance, viz. between five and fix miles. The loud re¬ port refembled the firing of feveral mufketsfo clofe to¬ gether, that the ear could fcarcely feparate the founds, and was followed by no rumbling noife like the other claps. This indicates, that the explofion was not far diftant, and likewife that it was not extremely near: for, if the explofion had been very near, the ear could aot at all have feparated the founds. Hypothecs 9- us now fuppofe a cloud, eight, ten, or by which twelve miles in length to be expended over the earth, he accounts and let another cloud be fituated betwixt that and the for the phe* earth ; let them alfo be fuppofed charged with the fame Bomena. 0f eIe- L I Q [ 67 ] L I G Itgh^ninp. jy. The various effe^s produced on the cart may "* he explained alfo from the returning ftroke with equal facility., The fplinters were thrown off by reafori of |f the interruption of good conductors ; the wood being a much lefs perfeft conduftor than the iron. It is al¬ fo evident, that it was the electrical returning fire that produced the marks of fufion OR that part of the iron of the wheels which was in contaft with the ground ; inafmuch as the whole eleftricity, at the inftant of the explc-fion, did enter at thefe places. 18. No perfon in the leall verfed in the principles of eleftricity can hefitate to affent to the propofit’ion, that the eleCtrical returning ftroke muft exill under • circumftances fimilar to thofe explained above ; but it may be objected, as the reviewers formerly did, that the quantity of eleftricity naturally contained in the body of a man, &c. is by for too fmall to produce fuch violent effects. For an anfwer to this objection, his lordfhip refers to his book : By way of corroboration, I ao however, he makes the following remarks. I Great I9- No perfon can reafonably conclude, that the ftreneth of force of a returning ftroke muft always be weak when 'ile ftrok " Pro^llce<^ b7 the difturbed eleCtrical fluid of a man’s LiScert4in body, by reafon that a man’s body contains but a fmall cafe;. quantity of eleCtricity: for it has never been proved ■ that a man’s body contains only a fmall quantity of eleCtrical fluid ; neither is there the fmalleft reafon to believe fuch an hypothefis, which appears, on many ■accounts, to be completely erroneous ; and if that hy¬ pothefis be erroneous, the objection to the ftrength of an eleCtrical returning ftroke remains altogether tin- fupported by argument. “ When a body is faid to be plus or pofitive (fays his lordftiip), it Amply means, that the body contains more than its natural fhare of eleCtricity, but does not fay that it is completely fatu- rated with it. In like manner, when a body is faid to be minus or negative, it only fignifios, that the body Contains lefs than its natural ftiare of eleCtricity; but does not imply that fuch body is completely exhaujled of the eleCtricity which it contains in its natural ftate. “ Now (fays he), the ftrength of natural eleCtricity is’fo immenfe, when compared with the very weak effeCts of our largeft and belt contrived eleCtrieal machines, that I conceive we cannot, by means of artificial eleClricity, expel, from a man’s body, thoufandth, or perhaps the ten-thoufandth part of the eleCtrical fluid which it ' contains when in its natural ftate.” 20. An hypothefis which eafily accounts for aRy na¬ tural phenomenon has a much better claim to our atten¬ tion than an oppofite one, which prevents it from being intelligibly explained. There is no reafoU to conclude that any eleCtrical machine, of any given fize, is ca¬ pable of rendering a qonduCting body either completely plus or completely minus ; but far otherwife. And it would have been as logical for any perfon fome years ago (w'hen eleCtrical machines were not brought to their prefent ftate) to have maintained, that thofe ve¬ ry imperfeCt machines w'ere capable of rendering a body completely pofitive or completely negative,' as for us to pre¬ tend to do it at this day. We evidently have not, with our machines, even approached the limit of elec¬ trical ftrength, particularly in refpeCt to the returning ftroke : for it is remarkable, that, by the laws of elec¬ tricity, the ftrength of the eleCtrical returning Jlroke, near the limit of the ftriking diftance, does increafc in a greater ratio than the ftrengthof the main ftroke from the Lightning, charged body producing the elaftic eleCtrical atmofphere ’ ^ fuperinduced. Thus, let us attempt to produce the re- gtrenj,th of turning ftroke by means of a metallic conductor of about the retum- 20 or 21 inches in length and of about two inches in jug )]\roke diameter j and by means of another metallic body of equal dimenfions placed parallel to the prime conduc- ces> tor, juft out of the limit of'the ftriking diftance ; and let the prime conductor be charged by one of the com¬ mon glafs globes of lefs than nine inches in diameter; the returning ftroke in this cafe will be fo weak, that it can hardly be faid to exift : but if the experiment be made by means of a large cylinder, and by means of a metallic prime conductor of about three feet four inches long, by nearly four inches and an half diame¬ ter, and alfo by means of another metallic body of equal dimenfions with this prime 'conductor, then there will be no kind of comparifon betwixt the ftrength of the returning ftroke obtained out of the ftriking di¬ ftance, and the ftrength of the main ftroke received immediately from the prime conductor ; the ftiarpnefs and pungency of the returning ftroke befog fo much fuperior. The returning ftroke in this cafe, is like the fudden difeharge of a weakly eleCtrified Leyden jar, provided due attention be paid to the rules for ob¬ taining a ftrong returning ftroke. 21, In the cafe of a returning ftroke, the ftrength depends, according to his lordfhip’s hypothefis, not fo much on the quantity of the eleCtric fluid, as on its ve¬ locity ; whence alfo it depends lefs on the quantity of furfaCe ufed than on the ftrength of the eleCh ical pref- flire of the elaftic eleCfrical atmofphere fuperinduced. upon the body ftruck previous to the explofion. But the eleCirical preffure of the elaftic eleClrical atmo¬ fphere of the great thunder-cloud which produced the mifehief on the prefent occafion, muft have been im- menfely greater than that of a metallic prime conduc¬ tor 5 and it is not furprifing that the -tfte&fi flioiild be proportioned to the caufes. 22. His lordfhip next accounts for the returning Why th; ftroke not being felt by the man who followed Lau- returning’ der’s cart. This, he thinks, may in fome degree be hr*e was accounted for by the latter having been higher up tbe"he man^ bank ; though it may better be done by fuppofing^the wh0 drove Cloud to have beep pending nearer the earth over the the feccnd fpot where Lauder was killed, than over the place£art- where his companion was ; 'for, in order to receive a dangerous returning ftroke, it is neceffary that he fliould be immerged, not merely in the cloud’s atmo¬ fphere, but in the denfe part of the cloud’s eledlrical atmofphere. It may alfo be accounted for by fuppo- fing that the fecond cart were either better connedled with the common flock, os better infulated ; for either of thefe circumftances will weaken a returning ftroke prodigioufly. NowMrBrydonementions, thatthere had been an almoft total want of rain for many months. He alfo fays, that the ground, at the place where Lau¬ der was killed, was remarkably dry, and of a gravelly foil. This ftate of th^ ground was particularly adapted to the production of the ele&rical returning ftroke, when produced upon the large fcale of nature, where the elaftic electrical preffure is fo powerful. To thefe arguments adduced by his lofdfhip for the exiftence arid ftrength of the eledtrical returning ftroke, we lhall add an account of fome experiments publiftied I 2 ia L I G C 68 ] L I G Lightning, in the Gentleman’s Magazine for 1785. They were made with an infulated rod of iron of confiderable _ 23 length, rifing fome feet higher than a common con- ment^with duftor placed at the other end of the houfe. A fet an infula- of bells were affixed to the former, which in a thunder ted conduc-ftorm/even when the thunder was four or five miles tor* diftant, were rung by the eleftricity of the atmofphere; but whenever a flaffi of lightning hurft from the cloud, even though at the diftance juft mentioned, the fame f ajhy according to our author, paffed through the conductor alfo, and the bells ceafed to ring fometimes for feveral feconds; then they began again, and continued to ring till they were ftopped by another flafh. This flaffi which paffed thro’ the condu&or was undoubtedly what earl Stanhope calls the returning jlrohe ; of which we muft now give fome explanation : And in confidering the whole dodlrine of that ftroke, together with the particular explanation laid down by his lordfnip, the following obfervations naturally oc¬ cur. 1. In the experiments made by his lordfliip to de- monftrate tlx; exiftence of the returning ftroke, there Deceptions is a deception, of which the reviewers take notice, viz. in Earl ^ that the man touches a large prime conduftor, which, «t>er?PC * ^7 t*le operation of the machine, becomes negatively mtnts. eledlrified as well as himfelf. Hence when the dif- charge is made, all the fire returning to that conduc¬ tor muft pafs through his body as well as that of which his body itfelf is fuppofed to be deprived ; and this, though no other caufe intervened, muft nearly double the ftrength of the ffiock. To make the experiment more fairly, it would be neceffary to take away this fe- cond conductor, and let the man only touch the brafs ball communicating with the earth. 2. In this experiment there is another deception, not taken notice of by the reviewers, viz. that any body immerfed in a pofitive electrical atmofphere be¬ comes negative. Hence the fecond conductor, by be¬ ing applied to the air pofitively electrified by the ma¬ chine, becomes almoft as ftrongly negative as if another machine had been applied to it on purpofe ; and this negative eleCtricity will be the ftronger in proportion to the ftrength of eleCtricity in the air furrounding it. Again, it is well known that a plate of air may be charged by means of two fmooth pieces of metal held at afmall diftance from each other, one of them con¬ nected with an eleCtrical machine, and the other with the earth. Now fuppofing, inftead of the ufual com¬ munication, that a man handing upon an infulating ftool, held the lower metallic plate in one hand, and with the other hand touched the earth, or a conduc¬ tor communicating with it, it is plain, that by touch¬ ing the upper plate, the eleilricity acquired by the air between them would be difcharged, and that the man Returning would feel what earl Stanhope calls the returning ftroke not froke; but which in truth is the ffipck of a charged iromthat e^e^r‘c fubftance, and would therefore be proportion- ©f a char- ably pungent. Now, in his lordffiip’s experiments, the phial, two condudors anfwer exadly to the two metallic plates above mentioned ; the air between them, receives a charge, and is difcharged by the explofion from the prime condudor, becaufe this conductor forms one of the charging plates. It is true, that the round ffiape of the conductors renders them unfavourable for try¬ ing the experiment j and this is one reafon why it re* quires a great power of eledrieity to make the return-Lightning, ing ftroke fenfible. The thicknefs of the plate of air ——g— interpofed betwixt the two condudors is another rea¬ fon : but this makes no difference as to the principles; for his lordffiip’s experiment is undoubtedly no other than that of the Leyden phial Were his lordffiip to ufe two flat plates inftead of round condudors, the de¬ ception would then be removed ; and we may venture to determine a priori^ that the returning ftroke would then be not only very fevere, but even dangerous, with a very powerful machine and large plates. 3. Though the fecond condudor were entirely re¬ moved, yet there would ftill be a deception in this experiment, for then the furface of the man’s body would ad in fome meafure as one of the metallic plates; fo that ftill the experiment would be on the principles of the Leyden phial, though much weaker than before. ^ 4. In order to make this experiment abfolutely with- How the out deception, the man ffiould Hand upon the ground experiment without touching any thing; and in that cafe we may ffiould be venture to affirm, that he would feel no returning ffiock. His being infulated varies the nature of the ‘ experiment entirely, as will eafily be underftood from the following confiderations. Under the article Electricity, we have fliown, Another that poftive eledricity does not confift in an accu nula- explanation tion, nor negative eledricity in a defciency, of the fluid;.011 tfle phe- but that all eledric phenomena are to be accounted.nuniena' for from the mere motion of the fluid, and that this mo¬ tion is always a circulation. We have ffiown, that in. the working of a common machine, the eledric fluid comes from the earth; that it is accumulated around, the prime condudor; evaporates in the air; and is- then filently abforbed by the earth, and reconduded to the machine. Hence, in the charging of a machine which works pofitively, the earth, and all bodies on its furface, for fome way round, are in a negative ftate ; becaufe they are then abforbing the eledrical fluid from the atmofphere. That part of the earth indeed di- redly under the feet of the machine, and perhaps fome little way farther, is pofitive; becaufe it is giving out eledricity: but the negative portion will be much more extenfive. When the condudor is. difcharged by a fpark, then the circulation ceafes in a great meafure by the coliifion of the two oppolite ftreams of eledric matter. All bodies on the furface of the earthy then, as far as it was negatively eledrified, muft receiv e what his lordffiip calls the returningJlroke: but the elec¬ tricity being diffufed among fueh a number, and over fuch a wide extent, it is no wonder that it ffiould be infenfible. If, however, we infulate a large condud- ing body, and then make another part of it communi¬ cate with the earth by means of a good condudor, we inftantly put it in a fituation fit for tranfmitting more than its ffiare of the eledricity of the atmofphere, and reducing it to the ftate of the infulated rubber of an eledrical machine, through which the whole quantity of eledrieity muft pafs to the phial held towards it, in order to be charged negatively. In proportion to this, quantity tranfmitted the ffiock muft be, not becaufe the condudor has loft a large ffiare of its natural eledricity, but becaufe a large quantity is artificially made to pafs. through it. We may therefore fafely venture to affert, that, in thunder ftorms, unlefs a body tranfmits more L I G [ Lightning, than its natural proportion of ele&ric matter, no fiiock ^ will be felt, much lefs can the perfon be killed. *8 in his explanation of the accident which hap- which'oc'63 Pene^ t0 Lauder, his lordfhip is reduced to the great- cur in his difficulty, and makes one of the moft unphilofophi- Lordfhip’s cal (hifts in the world; no lefs than that of arranging bypothtfis. the c/out/s of heaven, not according to faft, but accord¬ ing to his own imagination. He fuppofes the exift- ance of two clouds, one below the other; and afcribes to them various motions and fituations, which we have already taken notice of: but who knows whether fuch clouds ever exifted ? His Lordfisip does not pretend that any body ever faw them ; and thus he runs into what is termed by logicians a vicious circle; he firll affumes data, purpofely made to accord with his hy- pothdis, and then proves the hypothefis from the data. » 6. Granting the arrangement of the clouds, and tvery thing that his lordlhip defires, the main requifite is 1H11 wanting, viz. a flafh of lightning at a diftance to produce the returning llroke. According to him, the diftant flafh and returning llroke mull be fimul- taneous; but Mr Brydone mentions no fuch thing: Cn the contrary, there had been no flalh for fome little time before ; and the immenfe velocity of the electric fluid will not allow us to fuppofe that it would take up the ufual time betwixt thunder-claps in travel¬ ling live or fix miles. 7. His lordlhip accounts for no lightning being feeir at the time of the explolion in a very arbitrary and unnatural manner, by fuppoling it to have proceeded from a difcharge of the one imaginary cloud into the other; and that it was not feen on account of the thicknefs of the lower cloud. A much more natural fuppofltion mull be, that it happened below the cart¬ wheels, but was not feen- on account of its being day¬ light, and the cloud of duft which it raifed. The fucceffion of noifes, too, indicated a fucceffion of explo- fions, the flalhes of which would be lefs eafily obferved than a Angle large one. 8. It feems altogether impoffible, that the return of any quantity of natural electricity into a body Ihould lhatter that body to pieces. In the prefent cafe, the fire entered by a fmall part of the iron of the wheels, and this part was melted. His lordlhip does not he- fitate to own, that the fufion was a proof that the whole fire belonging to the cart, man, and horfes, or at lealt to the cart and man, had entered by this part of the wheels, and confequently more than naturaiiy belonged to that fmall part of iron. The fame evidence, how¬ ever, will hold good with regard to every other part. We grant that the. fire entered the man’s body by his right thigh : this might have therefore been, burnt by receiving the lire belonging to the whole body; but it Ought then to have quietly diffufed kfelf through the other parts of his body, or at leall if any damage had been done, it ought to have been done only to the in¬ ternal parts. Inllead of- this, a broad zig-zag line , upon his body indicated a vail quantity of eleCtric matter running along the furface without entering the body at all. In like manner, his hat being torn in pieces, indicated a violent explolion of eledlriamatter at his head, where there ought to have been little or no explofion, as none could be. wanted there except what the hat had parted with 3 and it is ridiculous to fup- 69 ] L I G pofe that hats part with fuch quantities of electricity Lijihtning; as would tear them in pieces by Its return. The w-v***^ Ihivering of the cart, the burning and throwing about of the coals, and all the other circumllances of ' the cafe, alfo point out in the clearell manner, not a quantity .of eledlric matter returning to fupply any natural deficiency, but an enormous explofidn of that' matter from the earth overwhelming and dellroying whatever Hood in its way. That two explofions were made from the earth is very evident, becaufe there were two holes in it; and the very fize pf thefe holes indicates a much greater difcharge of electricity than we- can reafonably fuppofe to have been loll by the man, horfes, and cart. We lhall now confider the experiment quoted from phenomena- the coirefpondent in the Gentleman’s Magazine. Thefe, of theinfu- as well as the accident under confideration, undoubt-lated thun- edly Ihow, that, during the time of a thunder-ftorm, j*** both atmofphere and earth are affefted for a very con- fori fiderable way. With regard to the quantity of this electrical affection, however, though it mull undoubt¬ edly be exceffive when taken all together, we can by no means agree that it is fo taken partially. From an experiment related in the Magazine above quoted, it appears, that the electricity of a violent thunder- llorm extends fometimes over a circle of 100 miles diameter “ EleCtricity (fays the author) feldom ap¬ peared without a fhower ; but I was furprifed, on the 5th of June 1784, that the bells rang with thin and very high clouds, and without the leail appearance of rain, till the next poll brought me an account of a violent thunder-llorm, and very dellru&ive hail, at a village 50 miles dillant.” We cannot by any means fuppofe, that all this fpace was eleClrified like a charged phial.; otherwife, great as the explofions of lightning are, they would Hill be much greater. This is evi¬ dent even in our eleftrical machines. A fingle phial may be charged much higher than a battery, as ap¬ pears by the electrometer; but the batteiy, though lefs charged, will have incomparably more power than a Angle phial. His lordlhip appears to have deceived* himfelf in this matter, by miltaking the extent of the eleClrified furface for the quantity of charge in every part of it. The furface of the earth in a thunder-0f .j^ Itorm is exaClly fimilar to that of a charged conductor. t,u ,!f elecT According to the extent of eleClrified furface, the Acity in fpark will be great or fmall ; and juft fo -it is with '1' any gi- lightning, for fome kinds of it are much more dellruc-tiufl tive than others. In all cafes, however; the quantity fnc.- of eledricity* in a particular fpot is very inconfiderable. free. Lightning ftrikes bodies, not becaufe they are highly eleClrified, but fltaijufe they afford a communication betwixt the atmolphere and fome place below the furface of the earth. This, itroke. is the aggregate of the whole electricity qontained in a circle of probably many miles in diameter; but the returning itroke, if bodies are in their natural ilate, can only be in pro¬ proportion to the quantity of electricity in each fub- ftance contained within that fpace. It is in fad the lightning itfelf dlflufed through the earth which makes the returning ilroke ; and it is impoffible that every fubilance within two or three miles of the explofiom can receive the whole flafh, or another equal to it. It is only in cafes where the quantity of electricity^ diffufed through a great fpace, happens to difcharge L I G t 70 ] I I G r/jgVnmg. it Self tlirougli a human body or other concluding fub- ilance of no great bulk, that the effeds upon the latter can be any,way conflderable. This was undoubtedly the cafe with the thunder-rod mentioned by the corre- fpondent in the Magazine ; for it received either from the atmofphere or from the earth, at the time of every flafh, the whole quantity of ele&ricity which had been diffufed for a conflderable way round. Pointed bodies, we know, draw off ele&ricity very powerfully j info- much that an highly charged jar may be deprived of almoft all its power by merely prefenting a needle to it. We can be. at no lofs therefore to underftand why a pointed condu&or fhould draw off the eledrici¬ ty from a large portion of the furface of the earth, or from a conflderable portion of atmofphere. We mu it now, however, inquire into the reafon of thefe appearances of fparks in places at fuch diflance from the explofionlif the lightning. To underftand this, we mull always keep in our eye that principle fo fully explained under the article Electricity, viz. that t here never is, nor can be, a real clejickncy of the eledric fluid in any fubftance or in any place. It is to be coniidered as art abfolute plenum^ and of confequertce it can have no other motion than a circulatory one. At every difeharge of lightning therefore from the clouds into the earth, or from one cloud into another, there muft be a return of the fame quantity to thofe clouds which have made the difeharge. In the vaft extent of eledrified furface, fome part of thefe re¬ turns muft undoubtedly be made at great diftances from the place where the exploiion of lightning hap¬ pens. As long as matters remain in their natural ftate, the eledric matter will return by innumerable paf- fages in fuch fmall ftreams, that no perceptible effed upon any Angle fubftance can take place. But if a body be fo iituated, that a large portion of the eledric ' matter muft return through it from the earth, then fuch body will undoubtedly be more affeded by every flaih than the reft of the fubftances around it; and if the communication with the earth be interrupted, a flafh of fire will be perceived betwixt the concluding fubftance and the earth at the time that a flafh burfts out from the cloud. The ftrength of fuch a flafh, however, muft by no means be fuppofed equivalent to that of the main ftroke of lightning, unlefs we could fuppofe the whole eledrical power of the vaft circle already mentioned to be difeharged through the cort- jj. dudor. Particular But though this may explain the reafon of the explanation {parks or flalhes obferved in the cafe of the thunder- dent6 aCC1 r0(* Ju^ mentioned, we cannot from this principle ac¬ count for the accident which befel the man and horfes. There was indeed at that time a very violent emiflion of eledricity from the earth, but nO diftant flafh of lightning happened at the fame moment with it, to expel the electricity from the earth. It appears there¬ fore, that, the eledricity had in this cafe been accu¬ mulating in the earth itfelf, in a manner fimilar to that which produces earthquakes ; and which is fully explained under that article. The thunder-ftorm was the natural means employed to fupply that part of the . earth with eledricity, which was in the ftate of charging; and the moment that the quantity thus fup- Tp)ied was thrown back, all figna of eledricity muft 3 ceafe, as much as when that thrown in upon one fide I.ightmn£. of a Leyden phial is again thrown off. Hence, when the flafh burft out of the earth, and killed the man and horfes, that portion of earth which abforbed the eledricity till then, required it no longer; and of confequertce the thunder-ftorm occafioned by this ab- foi'ption naturally ceafed. That this difpofition to an earthquake did really prevail in the earth at that time, is evident from the- tremor which Mr Bell felt on the ground when walk¬ ing 11 his garden. The ftroke which the vvoman re¬ ceived on the foot, the death of the lamb, and no doubt many fimilar circumftances, concurred to fhow that there was an attempt to re ft ore the equilibrium from the earth, as has been already related. The fame difpofition to an earthquake, however, was af¬ terwards renewed; and on the 1 ith of Auguft that fame year, a fmart fhock of an earthquake did aduallytake place, as Mr Brydone informs us in the fame paper. Befides the dift’erent kinds of lightning already treated of, it is by no means qncommon to fee flafhes unattended by any report. Thefe are always of the fheet kind; they happen very frequently in windy weather when the fky is clear; and likewife when the fky is cloudy, immediately before a fall of rain of fnow. The general reafon of thefe appears to be, that the eledtric fluid is the medium by which the vapours are fufpended in the atmofphere ; and of con- fequence, every feparation of vapour, whether as rain, fnow, or hail, muft be attended with what is called a difeharge of eledlrical matter. The reafon why this kind of lightning is never attended with any repoit is, that there is no particular objeft againft which the force of the flafti is diredted; but it diftipates it¬ felf among the innumerable conducing bodies with which the atmofphere always abounds. It is, how¬ ever, in a manner impofiible to explain the various ways iA which this fubtile fluid adls. We know not, for inftance, in what ftate it is when adding as a me¬ dium of connedlion betwixt the air and vapour, nor in what its difehe/rge into other parts of the atmofphere properly confifts-. At any rate, we fee that a flafh of lightning, however limited its extent may appear to _ us, diftuies its effedts over a great fpace of atmo¬ fphere ; for after one of thefe iilent flafhes, it is no uncommon thing to obferve the fky to become ob- feure though it had been quite fe.rene before; or, if it bad been cloudy, to fee rain or fnow begin to fall in a very few minutes. It is probable indeed, that there is no change whatever that can take place in the atmofphere but by means of eledlricity ; and there is great reafon to believe, that the filent difeharges of this fluid from one part of the atmofphere to another, many of which are totally invifible, ultimately occa- fion the whole of the phenomena of Meteorology. See that article. Various parts of his Lordfhip’s Treatife on Elec- Dirertionj tricity, befides thofe already quoted, tend to prove for con- the utility of high and pointed conductors, in pre-^“^™8 ference to thofe which terminate in a hall, or round- eel end. Towards the end of the performance, the author difeuffes this matter very particularly; and enu¬ merates the ‘ necejfary requfiles’ in eredling- them, in number 11 ; to every one of which we readily fub- L I G [71 Lightfiing. fubfcnbe. As this matter is of a-popular nature, and on a fubjeft generally interefting, we rtiall tranfcribe this lift; adding a ihort explanation to particular articles.— Thcfe requifites (fays the author) are 11 in number. ‘ 1 ft, That the rod be made of fuch fubftances as are, in their nature, the left conduBors of eleBricUy. ‘ 2dly, That the rod be uninterrupted, and perfcBly continuous.’ — This is a very material circumftance. One entire piece of metal cannot perhaps be had : but it is not fuffieient that the rods, of* which the con- du&or conftfts, be fenfibly in contaft; they ftiould be prefled into aBual contaft by means of nuts and fcrews, with a thin piece of ftieet-lead between the (boulders of the joints. ‘ 3dly, That it be of a fujftcient thichnefsd — A copper rod half an inch fquare, or an iron rod one inch fquare, or one of lead two inches fquare, are thought fully fufficient by the author. ‘ 4thly, That it be perfeftly connected with the "common flock.’—That is, it (hould be carried deep into the earth, which is frequently dry near the fur- face ; and then continued in a horizontal direction, fo &s to have the fai ther extremity dipped, fhould this be practicable, into water, at the diftance of 10 yards or more from the foundation. ‘ ythly, That the upper extremity of the rod be as acutely pointed as poflible.’—This termination {hould be of copper; or rather a very fine and exceedingly acute needle of gold (hould be employed, which will not materially add to the expence. ‘ 6thly, That it be very finely tapered —fo that the upper extremity may be a cone, the diameter of the bale of which may bear an extremely fmall pro¬ portion to its height; for inftance, that of one to forty. ‘ ythly, That it be extremely prominent—that is, 8, 10, or 15 feet at lead above the higheft parts of the building. The author lays great ftrefs on this circumftance; in confequence of the law above-men¬ tioned, deduced by him from his experiments, relating to eleftric atmofpheres. According to this law, the denfity of an eledtric atmofphere (the negative atmo- fphere, for inftance, of the roof of a h6ufe, &c. while poftively charged cloud hangs orer it) diminilhes in the inverfe ratio of the fquare of the dill a nee from the furface of the body to which that atmofphere belongs. Accordingly* if the rod project 12 feet into this atmo¬ fphere, it will reach to a part of it four times lefs den ft than if the rod projected only to half that di¬ ftance, or fix feet; — and to a part one hundred and forty ■ four times rarer, than if it projected only one foot. ‘ 8thly, That each rod be carried, in the (horteft convenient direction, from the point at its upper end, to the common .flock. ‘ qthly, That there he neither large nor prominent bodies of metal upon the top of the building propofed to be fecured, but fuch as are connected with the conductor, by fome proper metallic communication. ‘ ipthly, That there be 3 fujftcicnt number of high and pointed rods.’—On edifices of great importance, efpecially magazines of gun-powder, the author thinks thefe ought never to be above 40 or 50 feet afunder. ‘ 1 ithly, That every part of the rods be very lub- Ibntially eredted.* 1 L I G The author declares that he has 1 never been able lightning, to hear of a fingle inftance, rior does he believe that ^ 1 J any one can be produced, of an high, tapering, and a- ctt/f/y/wnta/metallic condufilor, having ever, in any country, been (truck by lightning 5 if it had a//the neceffary requifites abovementioued, efpecially the fe- cor.d and fourth.* 33 On the whole, it feems to be pretty certain, that ot COi‘’ both pointed and knobbed metalline conductors '’11' °r** have the power of preferving any body placed at a fmall diftance from them from being (truck by light¬ ning. This they do, not becaufe they can attract the lightning far out of its way, but becaufe the refiftance to its paffage is always lead on that fide where they are ; and as pointed conductors diminifti the refiftance more confiderably than blunt ones, they feem in all cafes to be preferable.—It appears, however, that a fingle conductor, whether blunt or pointed, is not ca¬ pable of fecuring all the parts of a large building from ftrokes of lightning; and therefore leveral of them will be required for this purpofe: but to what diftance their influence extends, hath not been determined, nor does it feem eafily capable of being afeertained. It now remains only to explain fome of the more Why light- uncommon appearances and effeCts of lightning. One ning of thefe is, that it is frequently obferved to kill al-tir!ies k‘113 ternately: that is, fuppofing a number of people a*ternaa'Ii\ (landing in a line; if the firft perfon was killed, the fecond perhaps would be fafe ; the third would be killed, and the fourth fafe; the fifth killed, £:c.— EffeCts of this kind are generally produced by the moft. violently kind of lightning ; namely, that which ap¬ pears in the form of balls, and which are frequently feen to divide thenrfelves into feveral parts before they (trike. If one of thefe parts of a fire-ball (trike a man, another will not llrike the perfon who (lands immediately clofe to him ; becaufe there is always a repulfion between bodies electrified the fame wav. Now, as thefe parts into which the ball breaks have all the fame kind of eleCtricity, ij is evident that they mnft for that reafon repel one another; and this re¬ pulfion is fo ftrong, that a man may be interpofed within the flroke of two of them, without being hurt by either. The other effeCt. of lightning is mentioned under Wlij-it the article Jerusalem, where thofe who attempted•fonietiire*' to rebuild the temple had the marks of erodes 1'm_ dies^wtth* prefled upon their garments and bodies. This mayyhefOT-rn reafonably be thought to arife from the fame caufe to of a croft* which the angular appearance of lightning in the air is owing, namely, its violent impetus and velocity, together'with the oppofition of the atmofphere. A fmall ftroke of lightning, fometimes indeed a very con- fiderable one, cannot always enter the fubftance of ter- rcftrial bodies, even when it touches them, for reafons- already given. In this cafe it runs along their furface, and, as in its motion it is perpetually refifted by the atmofphere, it undoubtedly has the fame angular mo¬ tion which we often perceive in the atmofphere. If. in this fituation it happens to touch the human (kin,, or a garment, efpecially of linen, as being a conductor, it will undoubtedly leave a mark upon it; and this mark being of a zig-zag form, might, in the above in- ftance, have been, either taken for the cxaCt form of a< -crofe L I G [ ; J»ightnlng crofs by the beholders, or have fuggeded that Idea _ . II in relating -the ftory to make it appear more won- derful. Thefe obfervations may ferve to give fome idea of the nature of lightning, and its operations after it ap¬ pears in its proper form and burfts out from the cloud ; but for an account of its original formation, and of the powers by which the clouds are at firft eleftrified, and their electricity kept up notwith- ftanding many fuccefiive difcharges of lightning, and the quantity of elettric matter continually carried off by the rain, See. fee the article Thunder. Artificial Lightning. Before the difeoveries of Dr Franklin concerning the identity of electricity and lightning, many contrivances were invented in order to reprefent this terrifying phenomenon in mi¬ niature : the corufcatious of phofphorus in warm wea¬ ther, the accenfion of the vapour of fpirit of wine evaporated in a clofe place, -&c. were ufed in order to fupport the hypothefis which at that time prevailed; namely, that lightning was formed of fome fulphu- reous, nitrous, or other combuftible vapours, floating in long trains in the atmofphere, which by fome un¬ accountable means took lire, and produced all the deftruftive effects of that phenomenon. Thefe repre- fentations, however, are now no more exhibited; and the only true artificial lightning is univerfally ac¬ knowledged to be the difeharge of eleftric matter from bodies in which it is artificially fet in motion by our machines. Lightning was looked uponasfacred both by the Greeks and Romans, and was fuppofed to be fent to 'execute vengeance on the earth : Hence perfons kill¬ ed with lightning, being thought hateful to the gods, were buried apart by themfelves, left the allies of other men fliould receive pollution from them. Some fay they were interred upon the very fpot where they died; others will have it that they had no interment, but were fuffered. to rot where they fell, becaufe it was unlawful for any man to approach the place. For this reafon the ground was hedged in, left any perfon unawares Ihould contract pollution from it. All _places ftruck with lightning were carefully avoided and fenced round, out of an opinion that Jupiter had ei¬ ther taken offence at them, and fixed upon them the marks of his difpleafure, or that he had, by this means, pitched upon them as facred to himfelf. The ground thus fenced about was called by the Romans bidentul. Lightning was much obferved in augury, and was a .good 01 bad omen, according to the circumftances at¬ tending it. LIGNICENCIS terra, in the materia medica, "the name of a fine yellow bole dug in many parts of Germany, particularly about Emeric in the circle of Weftphalia, and ufed in cordial and aftringent com¬ plaints. LIGNUM vitje. See Guaiacum. Lignum Aloes. See Excoecaria. Lignum Nephnticum. See Guilandina. Lignum Rhodium, or Rofe. The corolla is quudrifid; the berry tetrafpermous. There is but one fpecies; of which there are two varieties, the deciduous and the evergreen. They are hardy plants, rifing from 10 to 15 feet high, adorned with oblong entire leaves, and fpikes of infundibuliform oblong white flowers, fuc- ceeded by black-berries. They are eafily propagated by feed, layers, fuckers, or cuttings. They are ufed for making hedges. Tke purple colour upon cards is pre¬ pared irom the bemes. With the addition of alum, thefe berries are faid to dye wool and filk of a good and durable green; for which p’^rpofe they mult be Vol.X. Parti. gathered as foon as they are ripe. The leaves are IdWne, bitter and (lightly aftringent. Oxen, goats, and (heep, , LlKurr* eat the plant; horfes refufe it. * LILBURNE (John), an enthufiaftic demagogue, who was tyrannically punilhed by the ftar-chamber court, being put in the pillory, whipped, fined, and imprifoned, for importing and publiftiing feditioun pamphlets, which he had got printed in Holland; they chiefly reflected on the church of England and its bifhops: he fuffered in 1637, and in prifon was doubly loaded with irons.' In 1641, he was re¬ leafed by the long parliament: and from this time, he had the addrefs to make himfelf formidable to all parties, by his bold, afpiring genius. He fignalized himfelf in the parliament army ; and was at one time the fecret friend and confident of Cromwell, and at another his avowed enemy and accufer; fo that, in 1650, Cromwell found it to be his intereft to filenee him, by a grant of fome forfeited eftates. But after this, he grew outrageous againft the protestor s go¬ vernment ; became chief of the levellers; and was twice tried for high treafon, but acquitted by the juries. The lad was for returning from exile (having been baniflied by the parliament) without a pafs. He died in 1657, aged 88. LILIACEOUS, in botany, an appellation given to fuch flowers as refembk thofe of the lily. LILIUM, the lily, in botany: A genus of the monogynia order, belonging to the hexandria clafs of plants; and in the natural method ranking under the 10th order, Coronaria. The corolla is hexapetalous, and campanulated, with a longitudinal nectariferous line or furrow ; the capfules connected by fmall can¬ cellated hairs. There are many fpecies; all of them bulbous-rooted, herbaceous, flowery perennials, rifing with ereCt annual (talks three or four feet high, gar- niflied with long narrow leaves, and terminated by fine clufters of large, bell-ftiaped, hexapetalous flowers of exceeding great beauty, of white, red, fcarlet, orange, purple, and yellow colours. Culture. All the fpecies are propagated by fowing the feeds; and if care is taken to preferve thefe feeds from good flowers, very beautiful varieties are often produced. The manner of fowing them is as follows: Some fquare boxes (hould be procured, about fix inches deep, with holes bored in the bottoms to let out the wet: thefe muft be filled with frefti, light, fandy earth; and the feeds fown upon them pretty thick in "the bCr ginning of Auguft, and covered over about half an inch deep with light fifted earth of the fame kind. They (hould then be placed where they may have the morning fun; and if the weather proves dry, they muft be watered at times, and the weeds carefully picked out. In the month of October the boxes are to be removed to a place where they may have as much fun as pofiible, and be fecured from the north and north- eaft winds. In fpring the young plants will appear, and the boxes are then to be removed into.their for¬ mer fituation. In Auguft the fmalleft roots are to be emptied out of thefe boxes, and ftrewed over a bed of light earth, and covered with about half an inch depth of earth of the fame kind fifted over them. Here they muft be watered, and (haded at times, and de¬ fended from the feverity of winter by a (light covering of draw.or peafe-haulm in the hardeft weather.; in K Fe- L I L L 74 ] L 1 L February, the furface of the bed fhould be cleared, and a little light earth lifted over it. When the leaves ' are decayed, the earth Ihould be a little ftirred over the roots; and in the month of September following fome more earth fifted on. In the September of the following year, the roots mull be tranfplanted to the places where they are to remain, and fet at the diftance of eight inches; the roots being placed four inches below the furface : this fhould be done in moift wea¬ ther. They will now require the fame care as in the preceding winters; and, the fecond year after they are tranfplanted, the ftrongeft roots will begin to flower. The fine ones ftiould then be removed at the proper feafon into flower beds, and planted at great diftances from one another that they may flower ftrong. Medical ufes. The roots of the white lily are e- mollient, maturating, and greatly fuppurative. They are ufed externally in cataplafms for thefe purpofes with fuccefs. The common form «f applying them is boiled and bruifed; but fome prefer the roafting them till tender, and then beating them to a pafte with oil, in which form they are faid to be excellent againft burns. Gerard recommends them internally againil. dropfies. The Kamtfchatence, or Kamtfchatka lily, called there faranne, makes a principal part of the food of the Kamt- fchatkans. Its roots are gathered by the women in Auguft, dried in the fun, and laid up for ufe : they are the befl. bread of the country; and after being baked are reduced to powder, and ferve inftead of flour in foups and feveral diihes. They are fometimes wafh- td, and eaten as potatoes; are extremely nourifliing, and have a pleafant bitter tafte. Our navigators boil¬ ed and eat them with their meat. The natives often parboil, and beat it up with feveral forts of berries, fo as to form of it a very agreeable confection. Provi¬ dentially it is an univerfal plant there, and all the grounds bloom with its flower during the feafon. An¬ other happinefs remarked there is, that while fifh are fcarce the faranne is plentiful; and when there is a dearth of this, the rivers pour in their proviiions in redoubled profufion. It is not to the labours of the females alone that the Kamtfchatkans are indebted for thefe roots-i A fpecies of moufe faves them a great deal of trouble. The faranne forms part of the win¬ ter provifions of that little animal: they not only ga¬ ther them in the proper feafon, and lay them up in their magazines, but at times have the inltinCt of bring¬ ing them out in funny weather to dry them, left they ihould decay. The natives fearch for their hoards ; but .with prudent tendernefs leave part for the owners, being unwilling to fuffer fuch ufeful caterers to perifh. LILLO (George), an excellent dramatic writer, born at London in 1693. He was a jeweller by pro- fefiion, and followed his bufinefs for many years in that neighbourhood with the faireft reputation. He was at the fame time ftrongly attached to the raufes, yet feemed to have laid it down as a maxim, that the devotion paid to them ought always to tend to the promotion of virtue, morality, and religion. In pur- fuance of this aim, Lillo was happy in the choice of his fubje&s, and ihowed great power of affe&ing the teart, by working up the paflions to fuch a height, as to render the diftrefles of common and domeftic life *t'etended art. Getting a MS. of the Ars notitia the year 1466 at Oldham in Hampfhire ; and in i486, of Corn. Agrippa, with alterations, he drank in the was admitted a ferhi-commoner of Magdalen college, doftrine of the magic circle, and the invocation of fpi- in Oxford* Having taken the degree of bachelor of fits, with great eagernefs. He was the author of the arts* he left the univerflty, and travelled to Jerufalem; MerTtnus Anglicus junior ; The Supernatural Sight ; Returning from thence, he continued five years in the and The White King’s Prophecy. In him we have an ifland of Rhodes, where he ftudied the Greek language, inftance of the general fuperllition and ignorante that fevefal learned men having retired thither after the ta- prevailed in the time of the civil war between Char. I. king of Conflantinople. From Rhodes he travelled to and his parliament: for the king conlulted this aftro- Rome ; where he improved himfelf in the Greek and loger, to know in what quarter he fliould conceal him- Latin languages, under Sulpitius and P. Sabinus. He felf, if he could efcape from Hampton court; and then returned to London, where for fome time he* general Fairfax, on the other fide, fent for him to his taught a private grammar-fehool, being the firfl. per- army, to afk him if he could tell by his art,- whe- fon who taught Greek in the metropolis. In 1510, ther God was with them and their caufe ? Lilly, who when Dr Colet foir*icd St Paul’s fchool, Lilye was ap- made his fortune by favourable predictions to both pointed the firft malter ; at which time, it feems, he was parties, affured the general that God would be with married and had many children. In this employment him and his army. In 1648, he publiflied his Treatifi he had laboured 12 years, when, being feized by the of the three Sms feen the preceding winter; and alfo plague, which then raged in London, he died in Fe¬ an aftroldgical judgment upon a conjunction of Saturn bruary 1523, and was buried in the north yard of St ahd Mars. This year the council of ftate gave him in Paul’s-. He had the character of an excellent gram- money 501. and a penfion of 1001. per annum, which marian, and a fuecefsful teacher of the learned lan- ke received for two years, and then refigned on fome guages. His principal work is Brevifrm^a inJhtutiot difguft. In June 1660, he was taken into Guftody by feu ratio grammatices cognofcendct ; Lond. 1513. Re¬ order of the parliament, by whom he was examined printed times without number, and commonly called concerning the perfon who cut off the head of king Lilye’s grammar. The Englilh rudiments were writ- Charko I. The fame year he fued out his pardon un- ten by Dr Colet, dean of St Paul’s; and the preface der the great feal ofi England. The plague raging in to the firll edition, by cardinal Wolfey. The Englifh London, he removed with his family to his ertate at fyntax was written by Lilye ; alfo the rules for the Herfham ; and in OCtober 1666 was examined be- genders of nouns, beginning with Propria quiz mari- fore a committee of the houfe of commons concerning bus : and thofe for the preterperfeft tenfes and fupines, the fire of London, which happened in September beginning with As in prefenti. The Latin fy ntax was that year. After his' retirement to Herfliam, he ap- chiefly t^e work of Erafmus. See Ward’s preface to plied himfelf to the ftudy of phyfic, and, by means of his edition, of Lilye’s Grammar, 1732. his friend Mr A/hmole, obtained from archbifhop Shef- ' LIMA, a city of South America, in Peru, of which elon a licence for the practice of it. A little before his it is capital, with an archbi(hop’s fee, and an univer- d'eath he adopted for his fon, by the name of Merlin fity. It gives its name to the principal audience of juniori one Henry Coley, a taylor by trade ; and at Peril; and is furrounded with brick-walls, fortified with the fame time gave him the impreffion of his almanac, feveral ramparts and ballions, eight yards high. The after it had been printed for 36 years. He died in ftreets are handfome, and as ftraight as a line ; but the '1681 of a dead palfy. Mr Afhntole fet a monument houfes are generally only one ftory high, on account over his grave in the church of Walton upon Thames-, of the earthquakes. However, they are pretty enough. His “ Obfervations on the Life and Death of Charles and well adorned, having long galleries on the front, late King of England,” if we overlook the aftrological One part of the roofs are covered with coarfe linen nonfenfe, may be read with as much fatisfa&ion as cloth, and the others only with reeds, which is not in- more celebrated hiftories; Lilly being not only very convenient, becaufc it never rains here; however, the well informed, but ftrittly impartial. This work, with richelt inhabitants cover theirs with fine mats or beau- the Lives of. Lilly and Alhmole, written by them- tiful cotton-cloths. There are trees planted all round felves, were publilhed in one vol. 8vo, in 1.774, by Mr their houfes, to keep off the heat of the fun. What Burman. the houfes want in height they have in length and LILY, in botany. See Lilium. depth ; for fome of them are 200 feet long, and pro- L1 ir of the Valley. See Convallaria. portionably broad,fo that they have IO or 12 large LILYBvEUM (anc. geog.), a city of Sicily, fi- apartments on the ground-floor. The royal fquare is tiiated on the moft welterly promontory of the iflairt^ very handfome, and in the middle there is a fountain of of Sicily, and faid to have been founded by the Car- bronze, adorned with the image of Fame which fpouts thaginians on their expulfion from Motya by Diony- uppvater. On the call and weft fides are the public Itruc- fius tyrant of Syracufe. It is remarkable for three tures, which are well built. The river which croffes fieges it fuftained ; one againft Dionyfius the tyrarit, Lima forms canals orftreams which run to moft of the another againft Pyrrhus king of Epirus, and the third houfes, and ferve to water their gardens, as well as for againft the Romans. The two firft failed in their at- other ufes. All the churches and convents are ex- tempts, but the Romans with great difficulty made tremely rich ; and many images of the faints are of themfelves mafter of it. No remains of this once ftate- maffy gold, adorned with jewels. This city is four K 2 mika L I M f 76 ] L I ivr -Lima, miles in length, and two in breadth, and is divided into ^ jUmaffci gjght pari flies; and yet it contains but 28,000 inha- * bitants, whereof 9000 are Spaniards. They make ufe of mules to draw their coaches with, and of thefe there are about 5000. It is the feat of the viceroy, and contains feveral courts ; as that of the viceroy, of the archbifhop, of the inquilition, of the crufado, and of the wills. Earthquakes are here very frequent •, fome of which have done this city a great deal of damage, particularly that in 1746, whereby it was almoft de- ftroyed: were it not for this, it would be a perfect p&radife ; there being plenty of corn, wine, oil, fugar, fruits, and flax. The inhabitants are fo rich, that when the viceroy, who was duke of Palata, and fent from. Spain to Peru in 1672, made his public entrance in-, to this city, the inhabitants paved the ftreets he was to pafs through with ingots of filar. The inhabitants of Lima are very debauched, but at the fame time ex¬ tremely fuperftitious, and they have a ftrong belief in the power of charms. About a fourth part of the city are monks and nuns, who are not a jot more chafte than the reft ; and if any one happens to rival a monk, lie is in danger of his life, for they always carry a dag¬ ger under their frocks. The nuns are fuch libertines, that it is ha^d to find any free.from the French dif- . cafe, of which they fome.times die for want of good phyficians. The greateft finners think they aton£ for all their faults by hearing a mafs, and kjfiing the robe of St Francis or St Dominic, and then they return tof their former praftices. It is feated on a large, plea- fant, fertile plain, on a fmall river near the fea. W. Long. 68. 45. S. Lat. 12. 15. Maritt t LIMASSOL, or Limisso, a town of Cyprus, in ‘Travels the fouth of the ifland. Of the ancient city nothing through but ruins now remain ; though it was a celebrated place, Cyprus. ev^n under the government of the dukes. King Ri¬ chard, the conqueror of the laft of thefe vaffals of the empire, razed it in 1191, and it was never afterwards rebuilt. This city originally was the fame as Ama- thus, or Amathonte ; fa famous, asPaufanias tells us, for its temple erefted in honour of Venus and Adonis. Amathus was the refidence of the nine firft kings of the ifland ; and amongft others of Oneliftus, who was fubjefted afterwards, by .the arms of Artabanes, the Perfian general. This city, ere&ed into an archbifliop- ric in the time of the Chriftians, has produced a nunv bcr of perfonages celebrated for their knowledge and the fanttity of their lives. In the neighbourhood there are feveral copper mines, which the Turks have been forced to abandon. The following lines, in the tenth book of Ovid's Metamorphofes, prove that they ■were known in the time of that poet: Capta viri forma, non jam Cytherea curat Littora, non alto repetit Paphon tequore cin&am, Pifcofamque Guidon, gravidamque Amathunta metatlis. The place where the new Limaflbl now hands, for* merly had the name of Nemofia, from the multitude of woods by which it was furrounded. Richard king of England having deftroyed Amathonte, Guy de Lu- fignan in the 12th century laid the foundations of that new city which the Greeks called Neopoleos. The fa¬ mily of Lufignan, who continued to embeUHh and for¬ tify it, built there palaces, and Greek and Latin churches; and made it the feat of a biihop. When the ifland was taken by the Turks in 1.570, the Ot¬ toman army entered this city on the 2d of July, and Limar^ ravaged it without mercy. It was then deftroyed by Limbi the flames; and at prefent it is only a wretched place, v in which one can fcarcely diftinguifh any remains of its ancient edifices. . It is governed by a commiflary and a cadi: the latter judges cafes only provilionally, before' they are carried to the. fuperior tribunal of Nicofia.. The harbour is very commodious-; and being fheltered from impetuous winds, it affords a fafe and calm afy- lum. to veffeis when overtaken by a ftorm. The carob tree is. here more abundant than any where elfe ; and it is from the port of Limaffol that the greateft quan¬ tity of its fruit is exported. The inhabitants export alfo fait, procured from a lake near Salines. Cotton,, wheat, barley, and mulberry-trees, are both plentifuL and well cultivated in this par t of the ifland: the ground alfo produces all kinds of garden ftuff. The beft Cyprus wine is made from the vines that grow on the hills of Limaffol, All the wines of the country are collected in this city to be tranfported to Larnic, where there are the largeft cellars, and which, on that account becomes the natural centre of commerce. LIMAX, the Slug, or Naked Snail; a genus of infedfts belonging to the order of vermes mollufca. The body is oblong, fitted for crawling, with a kind of*' mufcular coat on the upper part; and the belly is plain. They have four tentacula, or horns, fituated above the mouth, which they extend or retract at plea- fure.—This reptile is always deftitute of fhell; butbe- fides that its ikin is more clammy a id of a greater con- fiftency than that of the fnail, tlie black naked Hug has- a furrowed cloak, almoft as thick and as hard as lea¬ ther, under which ‘it withdraws its head as within a fliell. The head is diftinguiflred from the breaft by a black line. It is in its head and back thatrthe fnail, ftone is found ; which is a fraall pearled and fandy ftone, of the nature of lime ftones : according to a popular opinion, it cures the tertian ague, if faftened to the patient.’s arm. Thefe flugs move on ftowly, leaving every where clammy and (hining- marks of their paffage. Their coming together is towards the end of fpring. The organs of generation are placed, as in the fnaii, on the light fide of the neck. The male implement unfolds with the fame mechanifm as the finger of a glove when turned infide out. They are foinetimes met with hanging in the air with their heads down¬ wards ; and their tails, united by a kind of vifcous and. thick tie, grappled to the branch of a tree. In this ft- tuatioq they remain for three hours, and that is the time of impregnation. They depofit their eggs in the earth. There are eight fpecies, diftinguiflied entirely by their colouras the black flug, the white flug, the reddifli flug, the alh-coloured flug, &c. The black flug is hermaphrodite, both fexes being in each indi¬ vidual, and in the coitus both impregnate and are im¬ pregnated at the fame time.—A black flug powdered overwith fnuff, fait, or fugar, falls into convulfions, calls forth all its foam, and dies; See Reproduction. LIMB, in general, denotes the border or edge of a thing ; thus we fay, the limb of a quadrant, of the fun, of a leaf, &c. Limb, in anatomy, an appellation given to the ex¬ tremities of the body, as to the arms and legs. Limb, Limbus, in the church of Rome, is ufed in two different fenfes. 1. The Iknb of the patriarchs is 4 Lid L I M t Limbat, faid to be the place where the patriarchs waited the re- I.imborch ^emption of mankind : in this place they fuppofe our v “" Saviour’s foul continued from the time of his death to his refurredtion. 2. The limb of infants dyin^ with¬ out baptifm, is a place fuppofed to be diitindf both from heaven and hell; fince, fay they, children dying inno¬ cent of any adfual fin, do not deferve hell; and, by reafon of their original fin, cannot be admitted into heaven. L.IMBAT, the name of a periodical \Vind common in the ifland of Cyprus, and of great fervice in mode¬ rating the heats of the climate, which would other- wife be intolerable. According to the Abbe Mnriti, it begins to blow at eight in the morning the firil day; increafes as the fun advances till noon ; then gradually weakens, and at three falls entirely. On the fecond day it arifes at the fame hour; but it does not attain its greateft ftrength till about one in the afternoon, and ceafes at four precifely. On the third day it begins as before ; but it falls an hour later. On the five fucceeding days, it follows the fame progreffion as on the third ; but it is remarked, that a little before it ceafes, it be¬ comes extremely violent. At the expiration of five days it commences a new period like the former. By narrowly obferving the fea on that fide from which it is about to blow a little before it arifes, one may determine what degree of ftrength it wall have during the day. If the horizon is clear, and entirely free from clouds, the wind will be weak, and even almoft infenlible ; but if it is dark and cloudy, the wind willTbe ftrong and violent. This limbat wind, notwithftanding its utility in moderating the exceffive heat, often becomes the caufe of fevers, efpecially to the Europeans, from their being lefs habituated to the climate, more apt than the natives to fuffer themfelves to be furprifed by the cool air when in a ftate of perfpiration. This w ind, the falling of which happens an hour fooner or later, is fucceeded by a calm, accompanied by a cer¬ tain moifture that renders the air fomewhat heavy. This moifture difappears in the evening, being diffipa- fed by a wind which arifes every day at that period. This wind is confidered as a land breeze by the inha¬ bitants of the fouthern and'eaftern parts of the ifland; but it is called a fea breeze by thofe in the northern and weftern, who indeed receive it immediately from the fea. In fummer it blows till foiu-o’clock in the morn¬ ing ; and when it ceafes, it leaves a profound calm, which continues till the hour when the limbat com¬ mences. In autumn and winter it never falls till day¬ break, when it is fucceeded by other winds, which pro¬ ceed from the irregularity of the feafon. In fpring it does not continue longer than midnight; and is then fucceeded by that happy calm, during which thofe.re- frelhing dews are formed that moiften the earth at fun- riling. The limbat winds, which arife in the beginning of fummer, ceafe about the middle of September ; and this is the period when the moft infupportable heats commence, becaufe their violence is not moderated by the fmalleft breeze. They are, however, luckily not of long duration ; and about the latter end of Ocr tober they decreafe fenftbly, as the atmofphere begins to be loaded with watery clouds.. LIMBORCH (Philip), a learned writer among the femonftrants, born at Amfterdam in 1633. After ha^ 77 ) L I M ving made great proficiency in his ftudies, Ke was, in Limburgh 1655, admitted to preach in public, which he did iirll R at Haerlem. His fermons had in them no affeffedelo- ™enc . quence; but were folid, methodical, and edifying. He was chofen minifter of Goudja ; from whence he was called to Amfterdam, where he had the profefibrfhip of divinity, in which he acquitted himfelf with great reputation till his death, which happened in 17x2. Pie had an admirable genius, and a tenacious memory. He had many friends of diftinilion in foreign parts as well as in his own country. Some of his letters to Mr Locke are printed with thofe of that celebrated author. Pie had all the qualifications fuitable to the charafler of a fincere divine, lived an example of every virtue,, and preferved the vigour of his body and mind to a confiderable age. He wrote many works, which arc efteemed ; the principal of which are, 1. Arnica col- latio de veritate religionis Cbrijiianx cum eruddrj jfudao, in izmo. 2. A complete body of Divinity, ac¬ cording to the opinions and doctrines of the remon- ftrants. 3. A hiftory of the Inquifition ; which has been tranflated into Englifh by Dr Samuel Chandler. Limborch alfo publiflied the works of the famous Epifcopius, who was his great-uncle by the mother's fide. LIMBURGH-duchy, a province of the Auftrian Netherlands, bounded by the duchy of Juliers on ther north and call, by Luxemburgh on the fouth, and by the bifliopric of Liege on the weft. It is about 30 miles in length, and 25 in breadth; and confifts of good arable and paftureland, with plenty of wood, andfome. iron mines, Eimburgh, the capital city of the duchy of Lim- burgh, in the Auttrian NetherlaiMs, is feated on a fteep- rock near the river Velfe. This town isfmall, but plea- fa ntly feated on a hill, with fliady woods ; and confift* chiefly of one broad ftreet, not very well built. It is ftrong by lltuation, and almoft inaccefiible; however, it was taken by the French in 1675, and. by the confe¬ derates under the duke of Marlborough in 1603, for the houfe of Auftria, to whom it remains by the treaties of Raftadt and Baden, after having been dif- mantled. It is famous for its-cheefe, which is exceed— ing good. E. Long. 6. 8. N. Lat. 50. 40.. LIMPh See Quicklims. LiME-Tree. Sec Citrus. Lime or LiNDUN-Tree. See TiLi,t. LiME-lVater. See Pharmacy*Indei&* Lime, or Lyme. See Lyme. LIMERICK, a county of Ireland, in the province of Munfter, is bounded on the eaft by Tipperary, on the weft by Kerry, on the north by the river Shan¬ non, and ou the fouth by Cork. It is a fruitful and populous tract, the foil requiring little or no manure in moft places: beftdes rich pafture for ftieep and cows, it produces rich crops of all kinds of com and rape, with fome hemp. It gave title of earl to the family of Dongan. It contains 375,320 Irifli. plantation acres, about fifty-fix church livings, though a much greater number of parifiies, ten baronies,, three boroughs, and fends eight members to parlia¬ ment. It has fome clays, furze, fern, and mountain lands, and is famous for good, cyder ; it has been much- benefitedby the palatines, whofettled there and increafed’ tillage .; they are a. laborious indep endent-people, moft- L*mer!clc. L I M [78 ly employed in their own farms. This country is well watered by large and fmall rivers ; the Shannon runs at the north fide of the county, and fertilizes its banks. The firing of the inhabitants is chiefly turf, and the bogs are conveniently, fituated. At Loghill in the weft of the county, there is a mine of coal or cillm, but it is moreufed in kilns than in houfes. There are few lakes except Lough Gur 5 and the principal hills are Knockgreny, Knockany, Knocknring, and Tory, hill. The mountains lie weftward, the higheft being Knockpatrick or St Patrick’s hill. This county is about 45 miles long, and 42 broad. Limerick, or Lough-I/Ieath, a market-toWn, a bo¬ rough, and a bifliop’s fee, now the metropolis of the province of Munfter. It is fituated on the river Shan¬ non, 94 miles from Dublin ; and was the ftrongeft fortrefs in the kingdom. Its aficient name Was Lun- ^neach ; and dm ing the firft ages it was much frequent¬ ed by foreign merchants, and after the arrival of the Danes was a place of confiderable commerce until the f 2th century. It was plundered by Mahofi, brother of Brien Borcfmh, after the'battle of Sulchoid, in 9704 and Brien, in a future period, exacted from the Danes t f this city 365 tons of wine ad a'tribute, which fhows the extenfive traffic carried on by thofe people in that article. About the middle of the 6th century, St Munchin eredted a church and founded a bifhopric here; which, however, wasdeftroyed by the Danes on their taking pbfieffion of this port in 853, and remain¬ ed in ruins until their converfion to the Ghriftian faith in the 10th century; at which period the chitrchof StMun- chin was rebuilt, and the biffiopric eftablifhed> Donald 0‘Brien, dboiit the time of the arrival of the Engliffi, founded and endowed the cathedral; and Donat 0‘Bri¬ en, bifiiopof Limerick, in the 13Eh century, contributed much to the opulence of the fee. About the clofe of the 12th century, 'the biflioprick of Innis-Cathay was united to that of Limerick. It was befieged by king William III. in the year r6go ; and though there was no army to affift it, the king was obliged to ntife the fiege. In the year 1691, it was again befieged by the Englifh and Dutch on the 21ft of September; and it was obliged to furrender on the 13th of Oftober fol- 1 owing, not without the lofs of abundance of men ; •however, the garrifon had very honourable and advan¬ tageous conditions, being permitted to retire where they thought fit, and the Roman-catholics by thefe ar¬ ticles were to be tolerated in the Free exercife of their religion. Within a century this place was reckoned the fecond city in Ireland ; at prefent it has loft its rank ; not becaufe it thrives iefs* but beeaufe Cork thrives -more. It is compefed of the Irifh and Engliflt town ; the latter Hands on the King’s ifland, formed by the river Shannon. The town is three miles in circumference, having weekly markets on Wednefday and Saturday, and fairs on Eafter Tuefday, ift July, 4th Auguft, and x 2th December. There is a privi¬ lege annexed to the fair held on 4th Auguft, that, du¬ ring 15 days, no perfon can be arrefted in the city or liberties, on any procefs iffuing out of the ,Tholfd court of Limerick. Ardfert and Achadoe, in the county of Kerry, are united, to the biftioprick of Li¬ merick. This city returns two members to parlia¬ ment ; and gives title of vifeount to the family of Ha¬ milton. It is governed by a mayor, iheritfs, recordey ] LIN aldermen, arid burgefies ; .there is alfo a barrack arid biiiiingtofi a military governor and town-major ; it had fome time t. A. the privilege of coinage; and different parliaments have been held there. The town was formerly entire¬ ly walled in ; and in 1760, there were 17 of the city- gates Handing 5 but to the great improvement of the place they are now all demoliflied, except the water- gate" of king John’s eaftle. The linen, woollen, and paper manufadtures, are carried on here to g^at extent, and the export of provifions is Very confiderable. Here are many charitable hofpitals and handfome public buildings, befides the cathedral and other churches. A charter was granted to this city by king John, and confirmed in fuceeeding reigns. Dr Campbell ob- ferves, that as you approach Limerick, the grounds grow rich and exquifitely beautiful; the only difa- greeable matter is, that the fixation renders the air moift, and corifequently rather unwholefome to ftran- gers. About fix miles from this is the famous Caftle- eonnd-fpa. Limerick is 50 miles from Cork, 50 from Galway, and 73 from Waterford. It appears that Limerick obtained the privilege of having mayors K> ysars before that right was allowed to , the citizens’ of London. It Was before governed by provofts, of Which the firft Was John Spafford, in 1195 and 1197} during the provoftfhip of Henry Troy a charter was granted, 9 Richard I. whereby the citizens were al¬ lowed to choofe mayors and bailiffs, Adam Servant, in 1198* being the firft mayor. It continued to be go¬ verned by mayors and bailiffs, until the office of bailiff was changed ihto that of fheriff, in 1609. Limerick is alfo the ririthe of a fair-town in the county of Wexford and province of Leinfter; the fairs are four in the year. LIMINGTON, a town of Hampfliirfe in England. See Lymington. LIMIT, in a reftrained fenfe, is ufed by mathema¬ ticians for a determined quantity to which a variable one Continually approaches; in which fenfe, the circle may be faid to be the limit of its circumferibed and inferibed polygons. In algebra, the term Until is ap¬ plied to two quantities, one of which is greater and the other lefs than another quantity ; and in this fenfe it; is ufed in fpeaking of the limits of equations, whereby their folution is much facilitated. LIMME, a town of Kent, in England, near Hithe, and four miles from Romney, was formerly a port, till choaked up by the fands; and though it is thereby become a poor town, yet it has the horn and mace and other tokens left of its ancient grandeur, and ufed to be the place where the lord warden of the cinque- ports was fworn at his entrance upon his office. The" Roman road from Canterbury, called &tane-Jheet, end¬ ed here ; and from the brow of its hill may be feen the ruinous Roman walls abnoft at the bottom of the marfhes. Here formerly was a cattle, now converted into a farm-houfe. When or by whom this edifice was ere died is not known-, It has, however, great marks of antiquity ; as has alfo the adjoining church, in which are ffveral eld tomhftones with erodes ©n them. LIMNING, the art of painting in water-colours, in contradiftindion to painting which is done in oil- colours. Limning is much the more ancient kind of paint¬ ing. L I M C 79 J LIN Ximning ing. Till a Flemifh painter, one John van Eyck, bet- Unacre ter ^nown ^7 name J0^71 °f Bruges, found out . in^cre- the art of paintipg in oil, the painters all painted in ^ water and in frefco, both on their walls, on wooden boards, and elfewhere. When they made ufe of boards, they ufually glued a fine linen cloth over them, to prevent their opening; then laid on a ground of white; laftly, they mixed up their colours with wa¬ ter and fize, or with water and yolks of eggs, well beaten with the branches of a fig-tree, the juice where¬ of thus mixed with the eggs; and with this mixture they painted their pieces. In limning, all colours are proper enough, except the white made of lime, which is only ufed in frefco. The azure and ultramarine muft always be mixed with fize or gum ; but there are always applied two layers of hot fize before the fize-colours are laid on : the co¬ lours-are all ground in water each by itfelf; and, as they are required in working, are diluted with fize-wa- te'r. When the piece is finiihed, they go over it with the white of an egg well beaten j and then with var- nilh, if required. To limn, or draw a face in colours: Having all the -materials in readinefs, lay the prepared colour on the card even and thin, free from hairs and fpots over the place where the picture is to be. The ground being laid, and the party placed in a due pofition, begin the work, which is to be done at three fittings. At the firft you are only to dead-colour the face, which will require about two hours. At the fecond fitting, go «ver the work more curioufly, adding its particular graces or deformities. At the third fitting, finifli the whole; carefully remarking whatever may conduce to render the piece perfed, as thecalt of the eyes, moles, fears, geftures, and the like. LIMOGES, an ancient and confiderable town of France, in the province of Guienne, and capital of Limofin, with a bifhojp’s fee. It is a trading place, and its horfes are in great efteem. It is feated on the river Vienne, in E. Long. I. 22. N. Lat. 42. 48. LIMOSIN, a province of France, bounded on the north by La Marche, on the eaft by Auvergne, on the fouth by Quercy, and on the wefl. by Perigord and Angoumois. It is divided into the Upper and Lower; the former of which is very cold, but the latter more temperate. It is covered with forefts of chefnut-trees; and contains mines of lead, copper, tin, and iron; but the principal trade confifts in cattle and hoxfes. LIMPET. See Patella. LIMPURG, a barony of Germany, in the circle of Franconia, included almoft entirely within Suabia, and feated to the fbuth of Hall in SuaBia. It is a- bout 15 miles long, and eight broad. Gaildbrf and Shonburg, near which is- the caltle of Limpurg, are the principal places. Limpurg, a town of Germany, in the electorate of Triers or Treves, and in Wetteravia, formerly free and imperial, but now fubject to the electorate of Treves. It is feated on the river Lhon. E. Long. 8. 13. N. Lat. 50. 18. LINARIA, in ornithology. See Fringilla. LINACRE (Thomas), phyficiaq, was born at Canterbury about the year 1460, and there educated under the learned William Selling: thence he removed So Oxford, and in 1484 was chofen fellow of All- Souls college. Tilly, alias Selling, his former inllruc- tor, being at this time appointed ambaffador from King Henry VII. to the court of Rome, Mr Linacre accompanied him to Italy, where he attained the higheft degree of perfection in the Greek and Latin languages. At Rome, he applied himfelf particularly to the lludy of Ariftotle and Galen, in the original. On his return to Oxford, he was incorporated doctor of phyfic, and chofen public profeflbr in that faculty. But he had not been long in England, before he was commanded to court by King H&nry VII. to attend the young Prince Arthur as his tutor and phyfician. He was afterwards appointed phyfician to the king,, and, after his death, to his fucceffor Henry VIII. Dr Linacre founded two medical lectures at Oxford, and one at Cambridge ; but that which molt effectually immortalized his name among the faculty, is his being the firft founder of the college of phylicians in Lon¬ don. He beheld with vexation the wretched Hate of phyfic in thofe times; And, by an application to Car¬ dinal Wolfey, obtained a patent in 1518, by which the phyficians of London were incorporated. The in¬ tention of this corporation was to prevent illiterate and ignorant medicafters from praclifing the art of healing*.. Dr Linacre was the firft prefident, and held the office as long as he lived. Their meetings were in his own houfe in Knight-rider ftreet, whidh houfe he bequeath¬ ed to the college. But our doftor, when he was about the age of 50, took it into his head to ftudy divinity ; entered into orders; and was collated, in 1509, to the rectory of Merffiam. In the fame year he was inftalled prebendary of Wells, in 1518 prebendary of York, and in the following year was admitted precentor of that cathedral. This, we are told, he refigned for other preferments. He died of the ftone in the bladder in Oftober 1524, aged 64; and was buried in St Paul’s. , Thirty-three years after his death, Doftor John Caius caufed a monument to be ereefted to his memory, with a Latin infeription, which contains the outlines of his life and charafter. He was a man of great natural fagacity, a Ikilful phy¬ fician, a profound grammarian, and one of the belt Greek and Latin fchqlars of his time. Erafmus in his epiftles fpeaks highly of the doftor’s tranllations from Galen,, preferring them even to the original. Greek. His works are,. 1. De emendata JlruSura La- tini fermonis, lilr'i fex ; London, printed by Pynfon, 1524, 8vo, and by Stephens, 1527, 1532. 2. The rudiments, of grammar, for the ufe of the princefs Mary, printed by Pynfon. Buchanan tranfiated.it into Latin ; Paris, 1536. He likewife tranfiated in¬ to very elegant Latin, feveral of. Galen’s works, which- were printed chiefly abroad at different times,. Alfo Procll Diadochi fphara, tranflated from, the Greek; Venet; 1499, 1500. LINCOLN, a city of England, and capital of a county of the fame name, is diftant 132 miles from. London. It Hands on the fide of a hill; at the bot¬ tom of which runs the river Withum in three final! channels, over which are feveral bridges. The old Lindum of the Britons, which flood on the top of the hill, as appears from the veftiges of a rampart, and deep ditches ftill remaining, was taken and demolilhed by the Saxons; who built a town upon the fouth fide of the hill down to the river fide, , which was feveral times-.. LIN f 80 1 LI Xinco’n. tiinea taken by the Danes, and as often retaken by the » ■ Saxons. In Edward the Confeflbr’s time, it appears, from Doomfday-book, to have been a very confider- able place; and in the time of the Normans, Malmfbury fays, it was one of the molt populous cities in Eng¬ land. William I. built a caftle upon the fummit of the hill above the town. The diocefe, though the bi- Ihopric of Ely was taken out of it by Henry II. and thofe of Peterborough and Oxford by Henry VIII. is ftill vaftly large, containing the counties of Leicefter, Huntingdon, Bedford, and part of Bucks, making 1255 parilhes. Though the other churches are mean, the cathedral or minfter is a moll magnificent piece of Go¬ thic architecture. Here is a prodigious large bell, called Tom of Lincoln, which is near five ton in weight, and 23 feet in compafs. The hill on which the church Hands is fo high, and the church itfelf fo lofty, that it may be feen 50 miles to the north, and 30 to the fouth. Befides other tombs, it contains one of brafs, in which are the entrails of Queen Eleanor, wife to Edward I. It is faid there were anciently 52 churches, wlrich are now reduced to 14. Such is the magnifi¬ cence and elevation of the cathedral, that the monks thought the fight of it muft be very mortifying to the devil; whence it came to be faid of one who was difi pleafed, that he looked like the devil over Lincoln. The declivity on which the city is built being ileep, the communication betwixt the upper and lower town is very troublefome, and coaches andjiorfes are obli¬ ged to make a-compafs. King Edward III. made this city a ftaple for wool, leather, lead, &c. It was once burnt; once befieged by King Stephen, who was. here defeated and taken prifoner ; and once taken by Henry III. from his re¬ bellious barons. It abounded heretofore with mona- fteries and other religious houfes. There is a great pool here, formed by the river on the weft fide of it, called Swan-Pool, becaufe of the multitude of fwans on it. The Romans north gate ftill remains entire, by •the name of Newport-Gate. It is one of the noblell of this fort in Britain. It is a vaft femieircle of ftones of very large dimenfions laid without mortar, connedl- cd only by' their uniform lhape. This magnificent arch is 16 feet in diameter, the ftones are four feet thick at ■the bottom. It feems to have a joint in the middle, not a'key-ftone ; and on both fides, towards the upper part, are laid horizontal ftones of great dimenfions, fome IO or 12 feet long. This arch rifes from an im¬ port: of large mouldings, which are not perceivable now ; there are alfp divers fragments of the old Roman wall. Over againft the caftle is an entrenchment cart mp by king Stephen ; and here are carved the arms of John of Gaunt, duke of Lane-after, who lived here like a king, and liad a mint. The city has a communica¬ tion with the Trent, by a canal called the Fofs-dyke. In the centre of the ruined old caftle there is a hand- fome modern ftru&ure for holding the affizes. Its walls are almoft entire, and very fubftantial: the Keep or principal tower is fituated on a high and very fteep •mount, which yet continues in its original Hate, but the ■remains of the tower on it are only five or fix yards high. The outer walls of the caftle are of very con- fiderable height, which appear ftill higher than they ' really are from their lofty fituation and the moat below them. The great gateway is ftill entire. This city 182. is a county of itfelf, and has a vifeountial jurifdiction for 20 miles round, which is a privilege that no other city in England can equal. It now confitts principal¬ ly of one ftreet above two miles long, well paved, be¬ fides feveral crofs and parallel ftreets well peopled. Here are fome very handiome modern buildings, but more antique ones; upon the whole, it has an air of ancient greatnefs, arifing in a great meafure from the number of monaftic remains, moft of which are now converted into ftables, out-houfes, &c. Upon the hill, in the caftle are the ruins of the biftiop’s palace, and other ruins of ancient grandeur and magnificence. The city is fupplied with water by feveral conduits, among which is a modern one, fomewhat in the pyra- midical ftyle, enriched with fculpture. It is governed by a mayor, twelve aldermen, two fheriffs, a recorder, four chamberlains, a fword-bearer, four coroners, and above forty common-council men. Here are four cha¬ rity fchools, where 120 poor children are taught by the widows of clergymen. The neighbouring courfe is noted for its frequent horfe-races. On the down of Lincoln, towards Bofton, that rare fowl the buftard is feen fometimes, as well as on Salifhury-Plain. Lincoln- Heath extends above 50 miles, viz. from Sleaford and Ancafter fouth to the Humber north, though it is but three or four miles over where broadeft. Five miles from Bofton on this extenfive heath, the late Lord Le Defpenfer built a few years ago a tower for the direfh’on of ftrangers. It is a lofty fquare building with a ftair- ■cafe, which terminates in a flat roof, and round the bafe is a fquare court-yard. Great part of this exten¬ five heath is lately inclofed. The markets here are Tuefdays and Fridays ; and there are four fairs in the year. We read that David king of Scots met king John here, on the 22d of November, in the third year of his reign, and performed homage to him on a hill without the city, for his Englilh territories, in prefence of the archbifhops of Canterbury, York, and Ragufa, 13 bilhop3,and avail: number of temporal lords and knights. King Henry VII. kept his court here at Eafter in i486. The Jews were once its chief inhabitants, till they were forced to remove, after having impioufly cru¬ cified the child of one Grantham, and thrown it into a well, to this day called Grantham’s Well. Lincoln has given the title, of earl to the family of Clinton ever fince the reign of Queen Elizabeth. W. Long. 27. I. N.Lat. 53. 16. LiNCOLN-Shire, a maritime county of England, 77 miles in length and 48 in breadth, is bounded on the eaft by the German ocean, on the weft by Notting- hamlhire, on the north by Yorklhire, on the fouth by Rutlandftiire, Northamptonfture, and Cambridgelhire. It contains 4590 houfes, 24,340 inhabitants, 631 pa- riihes, and 31 market towns, whereof five fend mem¬ bers to parliament, which, with two for the county, make twelve in all. The principal rivers are the Hum¬ ber, the Trent, the Witham, the Nenn, the Welland, the Ankham, and the Dun. It is divided into three parts, Lindfay, Keftoven, and Holland ; the air of which laft is unwholefome and foggy, on account qf the fens and large marfhes. The foil of the north and weft parts is very fertile, and abounds in corn and pa- ftures. The call and fouth parts are not fo proper for corn ; but then they fupply them with fiftx and fowl in great plenty, particularly ducks and geefe. Lincoln Linrolr?, LIN [8 Uyndesfarn is the principal town. By the late inland navigation, . ]L this county has communication with the rivers Mer- m, ey‘ -^eej Ribble, Oufe, Darwent, Severn, Thames, ™ * Avon, &c. which navigation, including its windings, extends above 500 miles through diverfe counties. LINDESFARN, or Landisfarn. See Hoir- IJland. LINDSAY (Sir David), a celebrated Scots poet, was defeended of an ancient family, and born in the reign of king James IV. at his father’s feat called the Mount, near Cupar in Fifdhire. He was educated at the univerfity of St Andrew’s ; and, after making the tour of Europe, returned to Scotland in the year 1514. Soon after his arrival, he was appointed gen¬ tleman of the bed-chamber to the king, and tutor to the young prince, afterwards James V. From the verfes prefixed to his dream, we learn that he enjoyed feveral other honourable employments at court: but, in 1533, he was deprived of all his places, except that of Lion king at arms, which he held to the time of his death. His difgrace was moft probably owing to his invedtivCs againft the clergy, which are frequent in all his writings. After the deceafe of king James V. Sir David became a favourite of the earl of Arran, re¬ gent of Scotland; but the abbot of Paifley did not fuffer him to continue long in favour with the earl. He then retired to his paternal eftate, and fpent the re¬ mainder of his days in rural tranquillity- He died in the year 1553. His poetical talents, confidering the age in which he wrote, were not contemptible ; but he treats the Romifh clergy with great feverity, and writes with fome humour: but, whatever merit might be formerly attributed to him, he takes fuch licentious liberties with words, ftretching, or carving them for meafure or rhime, that the Scots have a proverb, when they hear an unufual expreflion, that. There is nae Jic a word in a' Davie Lindfay. Mackenzie tells us, that his comedies were fo facetious, that they afford¬ ed abundance of mirth. Some fragments of thefe co¬ medies are ftill preferved in manuicript. He is faid to have alfo written feveral tragedies, and to have firfl introduced dramatic poetry into Scotland. One of his comedies was played in 1515. Mackenzie fays, he underftood nothing of the rules of the theatre. He was cotemporary with John Heywood, the firft Eng- lifh dramatic poet. His poems are printed in one fmall volume ; and fragments of his plays, in manu- feript, are in Mr William Carmichael’s collection. LINDSEY, the third and largeft divifion of the county of Lincolnfhire in England. On the eaff and north i±-is wafhed by the fea, into which it runs out with a large front; on the weft it has Yorkfhire and ISTottinghamfhire, from which it is parted by the ri¬ vers Trent and Dun; on the fouth it has Keftevan, from which it is feparated by the river Witham and the Fofs-dyke, which is feven miles long, and'was cut by Henry I. between the Witham and the Trent, for the convenience of carriage in thofe parts. It had its name from Lincoln, the capital of the county, which ftands in it, and by the Romans called Lindum, by the Britons Lindcoit, by the Saxons Lindo-collyne, pro¬ bably from its fituation on a hill, and the lakes or woods that were anciently thereabouts; but the Nor¬ mans called it Nichol. It gives title of earl and mar¬ quis to the duke of Ancaftcr, Vol. X. Part L ] LIN LINDUS, (anc. geog.), a town of Rhodes, fitua- Lindas, ted on a hill on the weft fide of the ifland. It was Line* f built by TIepolemus the fon of Hercules, according ". to Diodorus Siculus; by one of the Heliades, grand- fons of the Sun, named Lindus, according to Strabo. It was the native place of Cleobulus, one of the wife men. Here we fee the famous temple of Lindian Mi¬ nerva, which was built be the daughters of Danaus. Cadmus enriched this temple with many fplendid of¬ ferings. The citizens dedicated and hung up here the feventh of Pindar’s Olympic odes, written in let¬ ters of gold. The ruins of that fuperb edifice are ftill to be feen on the top of an high hill which overlooks the fea. Some remains of the walls, confifting of ftones of an enormous fize, ftill fhow it to have, been built in the Egyptian ftyle. The pillars and other ornaments have been carried off. On the moft ele¬ vated peak of the rock are the ruins of a caftle, which may have ferved as a fortrefs to the city. Its circum¬ ference is very extenfive, and is filled with rubbifh. Lindo, the modern city, Hands at the foot of the hill. A bay, of confiderable widenefs and depth, ferves as a harbour to the city. Ships find good an¬ chorage there in twenty fathoms water. They are fafely flickered from the fouth-weft winds, which con- ftantly prevail through the fevereft feafon of the year. In the beginning of winter, they caft anchor off a fmall village named Maffary. Before the building of Rhodes, Lindus was the harbour which received the fleets of Egypt and Tyre. It was enriched by com¬ merce. Mr Savary obferves, that a judicious govern¬ ment, by taking advantage of its harbour and happy fituation, might yet reftore it to a flourifhing ftate. LINE, in geometry, a quantity extended in length only, without any breadth or thicknefs. It is formed by the flux, or motion of a point. See Fluxions, and Geometry. Line, in the art of war, is underftood of the dif- pofition of an army ranged in order of battle, with the front extended as far as may be, that it may not be flanked. Line of Battle, is alfo underfiood of a difpofition of the fleet in the day of engagement; on which occa- fion the veffels are ufually drawn up as much as poflible in a ftraight line, as well to gain and keep the advan¬ tage of the wind as to run the fame board. See Na~ val Tactics. Horizontal Line, in geography and aftronomy, a line drawn parallel to the horizon of any part of the earth. EquinoQial Line, in geography, is a great circle on the earth’s furface, exactly at the diftance of 90° from each of the poles, and of confequence bife&ing the earth in that part. From this imaginary line, the degrees of longitude and latitude are counted.—In a- ftronomy, the equinoctial line is that circle which the fun feems to deferibe round the earth on the days of the equinox'in March and September. See Astrono¬ my and Geography- Meridian Line, is an imaginary circle drawn thro’ the two poles of the earth and any part of its furface. See Geography, nJ 29. Ship of the Line, a veffel large enough to be drawn up in the line, and to have a place in a fed- fight. L Livtti L LIN f 82 ] LIN Line l-L L.inf, in genealogy* a feries or fuccefiion of rela¬ tions in various degrees, all defcending from the fame common father. See Descent. Line, alfo denotes a French rtfeafure containing the 12th part of an inch, or the {44th part of a foot. Geometricians conceive the line Xubdivided into fix points. The French line anfvvers to the Engliih barley-corn. Fjjhing Link. See Fishing Line. Lines, in heraldry, the figures ufed in armories to divide the fhield into different parts, and to compofe different figures. / Thefe lines, according to their dif¬ ferent forms and names, give denomination to the pie¬ ces or figures which they fdrm, except the ftraight or plain lines. See Heraldry. LINEA alba, in anatomy, the concourfe of the tendons of the oblique and tranfverfe mufcles of the abdomen ; dividing the abdomen in two, in the middle. It is called line a, line, as being ftraight; and alba, from its colour, which is white. — The linea alba receives a twig of a nerve from the' intercoftals in each of its di- gitatioris or indentings, which are vifible to the eye, in lean perfons efpecially. LINEAMENT, among painters, is ufed for the outlines of a face. LINEAR numbers, in mathematics, fuch as have relation to length only ; fuch is a number which repre- fents one fide of a plain figure. If the plain figure be a fquare, the linear figure is called a root. Linear Problem; that which may be folved geo¬ metrically by the interfeclion of two right lines. This is called dl Jimple problem, and is capable but of one folution. LINEN,,in commerce, a Well-known kind of cloth chiefly made of flax.—Linen was not worn by the Jews, Greeks, or Romans, as any part of their or¬ dinary drefs. Under tunicks of a finer texture fup- plied the place of fhirts : Hence the occafion for fre, quent bathing. Alexander Severus was the firft em¬ peror who wore a ftiirt: but the ufe of fo necef- iary a garment did not become common till long after him. The linen manufacture was probably introduced into Britain with the firft fettlements of the Romans. The flax was certainly firft planted by that nation in .the Britifti foil. The plant itfelf indeed appears to have been originally a native of thC eaft. The woollen dra¬ pery would naturally be prior in its origin to the linen; and the fibrous plants from which the threads of the latter are produced, feems to have been firft noticed and worked by the inhabitants of Egypt. In Egypt, indeed, the linen manufacture appears to have been very early : for even in Jofeph’s time it had rifen to a confiderable height. From the Egyptians the know¬ ledge ^of it proceeded probably to the Greeks, and from them to the Romans. Even at this day the flax is imported among us from the eaftern nations ; the weftern kind being merely a degenerate fpecies of it. In tirder to fucceed in the linen manufacture, one fet of people fliould be confined to the ploughing and preparing the foil, fowing and covering the feed, to the weeding, pulling, rippling, and taking care of the new feed, and watering and dreffing the flax till it is lodged at home : others Ihould be concerned in the drying, breaking, fcutching, and heckling the Liner, ■ j flax, to fit it for the fpinncrs ; and others in fpinning and reeling it, to fit it for the weaver: others fliould be concerned in taking due care of the weaving, bleaching, beetling, and finiftiing the cloth for the market. It is reafonable to believe, that if thefe fe- veral branches of the manufacture were carried on by diftinCt dealers in Scotland and Ireland, where our home-made linens are manufactured, the feveral parts Would be better executed, and the whole would be afforded cheaper, and with greater profit. Staining of Linen. Linen receives a black colour with much more difficulty than woollen or cotton. The black ftruck on linen with common vitriol and galls, or logwood, is very perifhable, and foon waflies out. — In- ftead of the vitriol, a folution of iron in four ftrong beer is to be made ufe of. This is well known to all the calico- printers ; and by the ufe of this, which they call their iron liquor, and madder-root, are the blacks and pur¬ ples made which we fee oh the common printed linens. The method of making this iron-liquor is as follow? : A quantity of iron is putr into the four ftrong beer ; and, to promote the difiblution of the metal, the whole is occaiionally well ftirred, the liquor occafionally drawn off, and the ruftbeat from the iron, after which - | the liquor is poured on again. A length of time is required to make the impregnation perfeCt ; the folu¬ tion being reckoned unfit for ufe till it has flood at lealt a twelvemonth. This folution itains the linen of a yellow, and different ffiades of buff-coloUr; and is the only known fubftanee by which thefe colours can be fixed on linen. The cloth ftained deep with the iron liquor, and afterwards boiled with madder, without any other addition, becomes of the dark co¬ lour which we fee on printed linens and cottons ; which, if not a perfect black, has a very near refemblance to it. Others are ftained paler with the fame liquor di¬ luted with water, and come out purple. Linen may alfo be ftained of a durable purple by means of folution of gold in aqua regia. The folution for this purpofe ftiould be as fully faturated as poffible; it ffiould be diluted with three times its quantity of water; and if the colour is required deep, the piece, when dry, muft be repeatedly moiftened with it. The colour does not take place till a confiderable time, fometimes feveral days, after the liquor has been ap¬ plied : to batten its appearance, the fubject fliould be expofed to the fun and free air, and oceafionally re¬ moved to a moift place, or moiftened with water.— When folution of gold in aqua regia is foaked up in linen cloths, the metal may be recovered by drying and burning them. The anacardium nut, which comes from the Eaft- Indies, is remarkable for its property of ftaining linen of a deep black colour, which cannot be wafhed out either with foap or alkaline ley. The ftain is at firft; of a reddifli-brown, but afterwards turns to a deep black on expofure to the air. The cafhew-nut, called the anacardium of the Wejl-Indies, differs from the oriental anacardium in its colouring quality. The juice of this nut is much paler than the other, and {tains linen or cotton only of a brownifh colour ; which indeed is very durable,but does not at all change towards blacknefs.—There are, however, trees, natives of our own colonies, which appear to contain juices of the x. fame LIN [ 83 ] LIN ii,l Linen, fame nature with thofc of India. Of this kind are feveral, ~ .u—V-—^ and perhaps the greater number, of the fpecies of the ijij- See Rhus, toxicodendron or poifon-tree f. Mr Catefby, in his hi- ftory of Carolina, deferibes one called there the poifon- ajh, from whofe trunk flowed a liquid as black as ink, and fuppofed to be poifonous; which reputed poifonous quality has hitherto prevented the inhabitants from collecting or attempting to make any ufe of it. In the Philofophical Tranfactions for the year 1755, the abbe Mazeas gives an account of three forts of the toxicodendron raifed in a botanic garden in France, containing in their leaves a milky juice, which in dry¬ ing became quite black, and communicated the fame colour to the linen on which it was dropped. The linen thus ftained was boiled with foap, and came out without the leaft diminution of colour ; nor did a ftrong ley of wood-aflies make any change in it. Se¬ veral of thefe trees have beeti planted in the open I ground in England, and fome ftill remain in the bilhop of London’s garden at Fulham. That fpecies called by Mr Miller the true lac tree, was found by Dr Lewis to have properties of a fimilar kind. It contains in its bark, and- the pedicles and ribs of the leaves, a juice fomewhat milky, which foon changed in the air to a reddifli-brown, and in two or three hours to a deep blackilh or brownilh-black co¬ lour-: wherever the bark was cut or wounded, the in- cifion became blackifti; and on feveral parts of the leaves the juice had fpontaneoufly exfuded, and ftained them of the fame colour. This juice dropped on linen gave at firft little or no colour, looking only like a fpot of oil; but, by degrees, the part moiftened with it darkened in the fame manner as the juice itfelf. On walking and boiling the linen with foap, the ftain not only was not difeharged, but feemed to have its blacknefs rather improved ; as if a brown matter, with which the black was manifeftly debafed, had been in part walhed out, and left the black more pure. As the milky juice of fome of our common plants turn dark-coloured or blackilh in drying, the Doctor was induced to try the effects of feveral of them on linen. The milks of Wild-poppies, garden-poppies, dandelion, hawk-weed, and fow-thiftle, gave brown or brownilh-red ftains, which were difeharged by walhing with foap ; the milks of the fig-tree, of lettuces, and of different kinds of fpurges, gave no colour at all. The colourlefs juice which iffues from hop-ftalks when cut, ftains linen of a pale-reddilh, or brownilh-red, ex¬ tremely durable ; the colour was deepened by repeated applications of the juice, but it never made any ap¬ proach to blacknefs. The juice of floes gave likewife a pale-brownilh ftain, which by repeated walkings with foap, and being wetted with ftrong folution of alkaline fait, was darkened to a deeper brown :« on baking the floes, their juice turns red; and the red ftain which it then imparts to linen is, on walking with foap, changed to a pale-bluilh, which alfo proves du¬ rable. Thefe colours could not be deepened by re¬ peated applications of the juice. The floes were tried in different ftates of maturity, from the beginning of September to the middle of December, and the event was always nearly the fame. In the fifth volume of Linnaeus’s Amanitates Acade¬ mic#, mention is made of a black colour obtained from two plants which grow fpontaneoufly in Britain ; the Li g one is the atltea fpicata, herb-chriftopher, or bane- _ li berries; the other the erica baccifera nigra, black- L'in*'t berried heath, crow-berries, or crake-berries. The 0‘’L_ juice of the bane-berries, boiled with alum, is faid to yield a black ink ; and the heath-berries, boiled alfo with alum, to dye linen of a purplilh black. Linen flowered with Gold-leaf. Dr Lewis informs' us of a late manufa&ure eftablilhed in London for em- bellilhing linen with flowers and ornaments of gold-leaf. The linen, he fays, looks whiter than moft of the printed linens; the gold is extremely beautiful, a.'.d bears wafh- ing well. The Doftor informs us, that he had feen a piece which he was credibly informed had been waftied three or four times, with only the fame precautions which are ufed for the finer printed linens; and on which the gold continued entire, and of great beauty. — Con¬ cerning the procefs ufed in this manufafture, he gives us no particulars. Foflile Linen, is a kind of amianthus, which con- fifts of flexible, parallel, foft fibres, and which has been celebrated for the ufes to which it has been ap¬ plied, of being woven, and forming an incombujlible cloth. Paper alfo, and wicks for lamps, have been made of it. See Amianthus and Asbestos. LING, in zoology. See Gadus, LINGEN, a ftrong town of Germany, in the circle of Weftphalia, and capital of a county ef the fame name. It belongs to the king of Pruflia ; and is fituated on the river Embs, in E. Long. 7. a o'. N. Lat. 52. 32. LINGELBACH (John), an excellent painter, born at Franckfort on the Maine in 1625. He firft learned the art in Holland, but perfected himfelf at Rome ; where he ftudied till he was 25 years of age, when he fettled at Amfterdam. His ufual fubje&s are fairs, mountebanks, fea-pieces, and landfcapes, which he compofed and executed exceeding well: his landfcapes are enriched with antiquities, animals, and elegant figures; his fea-fights are full of exprelfion, exciting pity and terror, and all his objefts are well defigned. He had an uncommon readinefs in paint- ing, figures and animals, on which account he was employed by feveral eminent artifts to adorn their landfcapes with fuch objects ; and whatever he inferted in the works of other matters, were always well adap¬ ted, and produced an agreeable effedi. He died in 1687. LINIMENT, in pharmacy, a compofition of a confiftence fomewhat thinner than an unguent, and thicker than an oil ufed for anointing different parts of the body in various intentions. The materials proper for compofing liniments are, fats, oil, balfams, and whatever enters the compofition of unguents and platters. LINLITHGOW, the chief town of Weft Lothi¬ an in Scotland. It is fuppofed to be the Lindum of Ptolemy ; and to take its name from its fituation on a lake, which the word Lin or Llyn fignifies.—It is diftant 16 miles from Edinburgh, and is a royal borough and feat of a preibytery. It contains between three and four thoufand fouls ; and carries on a confiderable trade in dreffmg of white leather, which is fent abroad to be manufactured. It alfo employs many hands in dreffing of flax; alfo in wool-combing, the wool for which is L 2 brought LIN [ 84 ] LIN Xinlith- brought from the borders. Its port was formerly Black- Lmnaeu ^ut ^ince decline of that place, Burrcw/lcunncfs, l in sus‘ about two miles diftant from Linlithgow The town confiits of one open ftreet, from whence lanes are de¬ tached on both Tides; the houfes are built of ftone, tolerably neat and commodious ; and the place is adorned with feme llately public edifices. The palace, built, as Sibbald fuppofed,on the fite of a Roman ftation, forms a fquare with towers at the corners, and ftands on a-gentle eminence, with the beautiful loch behind it to the well. It was one of the nobleft of the royal refidences ; and was greatly ornamented by James V. and VI. Within- the palace is a handfome fquare ; one fide of which is more modern than the others, having been built by James VI. and kept in good repair till 1746, when it was accidentally damaged by the king’s forces making fires on the hearths, by which means the joifts were burnt. A ftone ornamented fountain in the middle of the court was deftroyed at the fame time. The other, lides of the fquare are more ancient. In one is a room ninety-five feet long, thirty feet fix inches wide, and thirty-three high. At one end is a gallery with three arches, perhaps for mufic. Narrow galleries run quite round the old part, to preferve com¬ munications with the rooms; in one of which the mw fortunate Maiy Stuart firft faw light. On the north fide of the high ftreet, on an eminence eaft of the pa¬ lace, ftands St Michael’s church; a handfome ttrufture, where James V. intended to have eredted a throne and twelve ftalls for the fovereign and knights of the order of St Andrew. In the market-place is another foun¬ tain of two ftories with eight fpouts, and furmounted like the former with an imperial crown. In one of the ftreets is Ihown the gallery whence the regent Murray was Ihot. Here was a houfe of Carmelites, founded by the townfpeople in 1290, deftroyed by the reformers - 1559. The family of Livingfton, who take the title of earl from this place, are hereditary keepers of this palace, as alfo bailiffs of the king’s bailifry, and con- ttables of Blacknefs caftle; but by their concern in the rebellion of 1.715 all thefe honours with their eftate were forfeited to the crown. Sir James Livingfton, fon of the firft earl by marriage with a daughter of Callendar, was created earl of Callendar by Charles I. 1641, which title funk into the other. LINNiEUS (Sir Charles), a celebrated botanrft and natural hiftorian, was born on May 24. 1707, in a village called Roejhuh in Smaland, where his father, Nicolas Linnaeus, was then vicar, but afterwards pre¬ ferred to the curacy of Stenbrohult. We are told, that on the farm where Linnaeus was born, there yet ftands a large lime-tree, from which his anceftors took the furnames of THiander, JJndelius', and Linnaus; and that this-origin of furnames, taken from natural ob- jedts, is not uncommon in Sweden. This eminent man, whofe talents enabled him to re¬ form the whole fcience of natural hiftory, accumulated, very early in life, fome of the higheft honours that await the moll fuccefsful proficients in medical fcience ; fince we find that he was made profeffor of phyfic and botany, in the univerfity of Upfal, at the age of 34 ; and fix years afterwards, phyfieian to his fovereign the late king Adolphus ; who in the year 1753 honour¬ ed him ftiH farther, by creating him knight of the or¬ der of the Polar Star. His honours did not terminate here : for in 1757 he was ennebled ; and in 1776 the prefentking of Sweden accepted the refignation of his Llnnxts. p office, and rewarded his declining years by doubling 1 » ’ his penfion, and by a liberal donation of landed pro- Ftom jyr ,, perty fettled on him and his family. Pultney’s ft It feems probable, that Linnaeus’s tafte for the ftu- General dy of nature was caught from the example of his father; firft amufement, a garden plentifully ftored with plants. Li mucus. Young Linnaeus foon became acquainted with thefe, as well as with the indigenous ones of his neighbourhood. Yet, from the ftraitnefs of his father’s income, our young naturalift was on the point of being deftined to a mechanical employment: fortunately, however, this defign was over-ruled. In 1717 he was fent to fchool at Wexfio ; where, as his opportunities were en¬ larged, his progrefs in all his favourite purfuits was proportionably extended. At this early period he paid attention to other branches of natural hiftory, parti¬ cularly to the knowledge of infefts. The firft part of his academical education Linnaeus received under profeffor Stobaeus, at Lund, in Scania, who favoured his inclinations to the ftudy of natural hiftory. After a refidence of about a year, he remo¬ ved in 1728 to Upfal. Here he foon contracted a clofe friendfhip with Artedi, a native of the province of Angermania, who had already been four yearsa ftu- dent in that univerfity, and, like himfelf, had a ftrong bent to the ftudy of natural hiftory in general, but par¬ ticularly to ichthyology. Soon after his refidence at Upfal, our author was alfo happy enough to obtain the favour of feveral gentlemen of eftablifhed character in literature. He was in a particular manner encou¬ raged in the purfuit of his ftudies by the patronage of Dr Olaus Celfius, at that time profeffor of divinity, and the reftorer of natural hiftory in Sweden j who, being ftruck with the diligence of Linnaeus in deferibing the plants of the Upfal garden, and his extenfive knowledge of their names, not only patronized him in a general way, but admitted him to his houfe, his table,, and his li¬ brary. Under fuch encouragement it is not ftrange that our author made a rapid progrefs, both in his ftudies and the efteem of the profeffors : in faeft, we have a very ftriking proof of his merit and attain¬ ments, inafmuch as we find, that, after only two years refidence, he was thought fufficiently qualified to give lectures occafionally from the botanic chair, in the room of profeffor Rudbeck. In the year 1731, the royal academy of fciences at Upfal having for fome time meditated the defign of improving the natural hiftory of Sweden, at the in- ftance particularly of profeffors Celfius and Rudbeck, deputed Linnaeus to make the tour of Lapland, with the foie view of exploring the natural hiftory of that arftic region ; to which undertaking. Iris reputation, already hign as a naturalift, and the {Length of his conftitution, equally recommended him. He left Upfal the 13 th of May, and took his route to Gevalia or Gevels, the principal town of Geftricia, 45 miles diftant from Upfal. Hence he travelled through Helfingland into Medalpadia, where he made an excurfion, and afeended a remarkable mountain, before he reached Hudwickfwald, the chief town of Helfingland. From hence he went through Anger- manland to Hernofand, a fea-port on the Bothnic gulf, 70 miles diftant from Hudwickfwald. When he had proceeded thus far, he found it proper to re- 5 tard ngse/\ LIN [ 85 1 LIN Linnaeus, tard his journey, as the fpring was not fufficiently ad- ^" » vanced ; and took this opportunity of vifiting thofe remarkable caverns on the fummit of mount Skula, though at the hazard of his life. When Linnaeus arrived at Uma, in Weft Both¬ nia, about 96 miles from Hernofand, he quitted the public road, and took his courfe through the woods weftward, in order firft to traverfe the moft fouthem parts of Lapland. Being now come to the country that was more particularly the object of his inquiries, equally a ftranger to the language and to the manners of the people, and without any affociate, he committed himfelf to the hofpitality of the inhabitants, and ne¬ ver failed to experience it fully. He fpeaks in feveral places, with peculiar fatisfaftion, of the innocence and limplicity of their lives and their freedom from difeafes. In this excurlion he reached the mountains towards Norway; and, after encountering great hardlhips, returned into Weft Bothnia, quite exhaufted with fatigue. Our traveller next vifited Pitha and Lula, upon the gulf of Bothnia; from which latter place he took again a weftern route, by proceeding up the ri¬ ver of that name, and vifited the ruins of the temple of Jockmock in Lula Lapland or Lap Mark : thence he traverfed what is called the Lapland Defert, deftitute of all villages, cultivation, roads, or any conveniences; inhabited only by a few ftraggling people, originally defeended from the Finlanders, and who fettled in-this country in remote ages, being entirely a diftinft people from the Laplanders. In this diftrift he afeended a noted mountain called Wallevari; in fpeaking of which he has given us a pleafant relation of his finding a fingular and beautiful new plant (Andromeda tetrago¬ nal) when travelling within the arftic circle, with the fun in his view at midnight, in fearch of a Lalpland hut. From hence he crofted the Lapland Alps into Finmark, and traverfed the fhores of the north fea as far as Sallero. Thefe journeys from Lula arid Pitha on the Both- nian gulf, to the north ftiore, were made on foot; and our traveller was attended by two Laplanders, one his interpreter, and the other his guide. He tells us, that the vigour and ftrength of thofe two men, both old, and fufficiently loaded with his baggage, excited his admiration ; fince they appeared quite unhurt by their labour, while he himfelf, although young and robuft, was frequently quite exhaufted. In this joiYrney he was wont to fleep under the boat with which they ford¬ ed the rivers, as a defence againft rain, and the gnats, which in the Lapland fummer are not lefs teazing than in the torrid zones. In defeending one of thefe ri¬ vers, he narrowly efcaped periffiing by the overfetting of the boat, and loft many of the natural produ&ions which he had collected. Linnaeus thus fpent the greater part of the fummer in examining this ar6tic region, and thofe mountains on which, four years afterwards, the French philofo- phers fecured immortal fame to Sir Ifaac Newton. At length, after having fuffered incredible fatigues and hardfhips in climbing precipices, paffing rivers in mi- ferable boats, fuffering repeated viciffitudes of extreme heat and cold, and not unfrequently hunger and thirft, he returned to Tornoa in September. He did not take the fame route from Tornoa as when he came into Lapland, having determined to vifit and examine the country on the eaftern fide of the Bothnian gulf: Limrau*. his firft ftage, therefore, was to Ula in Eaft Bothnia ; '■““'v ,J from thence to Old and New Carleby, 84 miles fouth from Ula. He continued his route through Wafa, Chriftianftadt, and Biorneburgh, to Abo, a fmall uni- verfity in Finland. Winter was now fetting in apace; he therefore crofted the gulf by the ifland of Aland, and arrived at Upfal in November, after having per¬ formed, and that moftly on foot, a journey of ten de¬ grees of latitude in extent, exclufively of thofe devi¬ ations which fueh a defign rendered neceffary. In 1733 he vifited and examined the feveral mines in Sweden ; and made himfelf fo well acquainted with mi¬ neralogy and the docimaftic art, that we find he was fufficiently qualified to give leftures on thofe fubjefts upon his return to the univerfity. The outlines of his fyftem on mineralogy appeared in the early editions of the Syjlema Nature ; but he did not exemplify the whole until the year 1768. In the year 1734 Linnaeus was fentby baron Reu- terholm governor of Dalekarlia, with feveral other na- turalifts in that province, to inveftigate the natural pro¬ ductions of that part of the Swediffi dominions; and it was in this journey that our author firft laid the plan of an excellent inftitution, which was afterwards exe¬ cuted, in a certain degree at leaft, by himfelf, with the affiftance of many of his pupils, and the refult publijh- ed under the title of Pan Suecus, in the fecond volume of the Amcenitates Academics. After the completion of this expedition, it appears that Linnseus refided for a time at Fahlun, the princi¬ pal town in Dalekarlia; where he tells us, that he taught mineralogy and the docimaftic art, and praCti- fed phyfic ; and where he was very hofpitably treated by Dr More, the phyfician of the place. It alfo ap¬ pears, that he contracted at this time an intimacy with one of that gentleman’s daughters, whom he married about five years afterwards upon his fettling as a phyfi¬ cian at Stockholm.—In this journey he extended his travels quite acrofs the Dalekarlian Alps into Norway; but we have no particular account of his difeoveries in that kingdom. In 1735 Linnseus travelled over many other parts of Sweden, fome parts of Denmark and Germany, and fixed in Holland, where he chiefly re¬ fided until his return to Stockholm, about the year 1739. In 1735, the year in which he took the degree of M‘. D. he publifhed the firft Ik etch of his Syjlema Natura, in a very compendious way, and in the form of tables only, in 12 pages in folio. By this it appears, that he had at a very early period of his life (certainly before he was 24 years old) laid the bafis of that great ftru&ure which he afterwards raifed, not only to the in- creafe of his own fame, but to that of natural fcience. In 1736, Linnaeus came into England, and vi¬ fited Dr Dillenius, the late learned profeffor at Ox¬ ford, whom he juftly confidered as one of the firft bo- tanifts in Europe. He mentions with particular re- fpeft the civilities he received from him, and the pri¬ vileges he gave him of infpefiting his own and the Sherardian colle&ions of plants. It is needlefs to- fay, that he vifited Dr Martyn, Mr Rand, and Mr Miller, and that he was in a more Angular manner indebted to the friendfhip of Dr Ifaac Lawfon. He alfo contra died an intimate friendfhip with Mr Peter Collinfon, which was reciprocally increafed by a mul¬ titude LIN [ 86 ] LIN lannasii*. titade of good offices, and continued to the laft with- l| ' out any diminution. Dr Boerhaave had furniffied him with letters to our great naturalift Sir Hans Sloane ; but, it is with regret that we mull obferve, they did not procure him the reception which the warmth of his recommendation feemed to claim. One of the molt agreeable circumftances that hap¬ pened to Linnaeus during his refidence in Holland, arofe from the patronage of Mr Clifford, in whofe houfe he lived a conliderable part of his time, being now as it were the child of fortune :—Exivi putrid iriginta fex nummis aureis dives — are his own words. With Mr Clifford, however, he enjoyed pleafures and privileges fcarcely at that time to be met with elfe- where in the world; that of a gardeii,excellently Itored with the lineft exotics, and a library furnilhed with almoft every botanic author of note. How happy he found himfelf in this fituation, thofe only who have felt the fame kind of ardour can conceive. Whilft in Holland, our author was recommended by *Boerhaave to fill the place, then vacant, of phyfician to the Dutch fettlementat Surinam; but he declined it on ac¬ count of his having been educated in fo oppofite a climate. Befides being favoured with the particular patro¬ nage and friendlhip of Boerhaave and Mr Clifford, as is above mentioned, our author had alfo the plea- fure of being contemporary with, and of reckoning among the number of his friends, many other learned perfons who have fince proved ornaments to their pro- feffion, and whofe merit has moft defervedly raifed * them to fame and honour. Among thefe we may pro¬ perly mention Dr John Burman, profeffor of botany at Amlterdam, whofe name and family are well known in the republic of letters, and to whom our author dedi¬ cated his Bibliotheca Botanica, having been greatly af- fifted in compiling that work by the free accefs he had to that gentleman’s excellent library; John Fre¬ derick Gronovius of Leyden, editor of Clayton’s Flo¬ ra Virginica, and who very early adopted Linnseus’s fyftem; Baron Van Swieten, late phyfician to the Emprefs Queen ; Ifaac Lawfon, before mentioned, afterwards one of the phyficians to the Britiffi army, who died much regretted at Oofterhout in the year 1747, and from whom Linnaeus received Angular and very important civilities; Kramer, fince well known for an excellent treatife on the docimallic art; Van Royen, botanic profeffor at Leyden ; Lieberkun of Berlin, famous for his /kill in microfcopical inftruments and experiments. To thefe may be added alfo the names of Albinus and Gaubius, and of others, were it requifite to ffiow that our author’s talents had very early rendered him confpicuous, and gained him the regard of all thofe who cultivated and patronifed any branch of medical fcience, and to which, doubtlefs, the Angular notice with wffiich ,Boerhaave honoured him do not a little contribute. Early in the year 1738, after Linnaeus had left Mr Clifford, and, as it ffiould feem, when he refided with Van Royen, he had a long and dangerous fit of ficknefs; and upon his recovery went to Paris, where he was properly entertained by the Juffieus, at that time the firft botanifts in France. The opportunity this gave him of infpedting the Herbaria of Surian and Tournefort, and thofe of the above-named gentle¬ men, afforded him great fatisfaftion. He had in- Linineui. tended to have gone from thence into Germany, to vifit Ludwig and the celebrated Haller, with whom, he was in clofe correfpondence ; but he was not able to complete this part of his intended route, and wras obliged to return without this gratification. Our author did not fail to avail himfelf of every advantage that accefs to the feveral mufeums of this country afforded him, in every branch of natural hi- ftory; and the number and importance of his publi¬ cations, during his abfence from his native counr try, fufficiently demonftrate that fund of knowledge w'hich he muff have imbibed before, and no lefs tetti- fy his extraordinary application. Thefe were, Ste¬ rna Natura, Fundamenta Botanica, Bibliotheca Botanica, and Genera Plantarum ; the laft of which is juftly con- fidered as the moft valuable of all the works of this celebrated author. What immenfe application had been beftowed upon it, the reader may eafily conceive, on being informed, that before the publication of the firft edition the author had examined the charafters of 8000 flowers. The laft book of Linnaeus’s com- pofition, publifhed during his ftay in Holland, was the Clajfes Plantarum, wffiich is a copious illuftration of the fecond part of the Fundamenta. About the latter end of the year 1738, or the be¬ ginning of the next, our author fettled as a phyfician at Stockholm ; wffiere he feems to have met with con- fiderable oppofition, and was oppreffed with many difficulties ; but all of thefe at length he overcame, and got into extenfive practice ; and foon after his fettle- ment, married the lady before fpoken of. By the in- tereft of Count Teffin, who was afterwards his great patron, and even procured medals to be ftruck in ho¬ nour of him, he obtained the rank of phyfician to the fleet, and a ftipend from the citizens^for giving lec¬ tures in botany. And what at this time efpecially was highly favourable to the advancement of his cha¬ racter and fame, by giving him an opportunity of dif playing his abilities, was the eftabliffiment of the Royal Academy of Sciences at Stockholm ; of which Linnxus w’as conftituted the firft prefident, and to which eftablifliment the king granted feveral privi¬ leges, particularly that of free poftage to all papers diredted to the fecretary. By the rules of the academy, the prefident held his place but three months. At the expiration of that term, Linnasus made hhOratiode memo- rabilibus in Infect is, OCt.3. 1739; in wffiich he endeavours to excite an attention and inquiry into the knowledge of infeCts, by difplaying the many Angular phenomena that occur in contemplating the nature of thofe ani¬ mals, and by pointing out, in a variety of inftances, their ufefulnefs to mankind in particular, and to the economy of nature in general. During all this time, however; Linnosus appears to have had his eye upon the botanic and medical chair at Upfal, at this time occupied by Rudbeck, who was far advanced in life. We learn indeed that he was fo intent on purfuing and perfecting his great de- figns in the advancement of his favourite ftudy of na¬ ture, that he had determined, if he failed in procuring the profefforffiip at Upfal, to accept the ofter that had been made to him by Haller of filling the botanic chair at Gottingen. However, in courfe of time, he obtained his wdlh. In the year 1741, upon the re- fignatiqn LIN [ 87 ] LIN Agnation of Roberg, he was conftituted joint profef- From the time that Linnaeus and Rofen were ap- Linnaen*. for of phyfic and phyiician to the king with Rofen, pointed pfofeffors at Upfal, it fhould feem that the * who had been appointed in the preceding year on the credit of that univerfrty, as a fchool of phyfic, had death of Rudbeck. Thefe two colleagues agreed to been increafing : numbers of Undents reforted thither divide the medical departments between them ; and from Germany, attracted by the character of thefe two their choice was confirmed by the univerfity. Rofen able men ; and in Sweden itfelf many young inen were took anatomy, phyfiology, pathology, and the the- invited to the ftudy of phyfic by the excellent manner rapeutic part; Linnaeus, natural hiitory, botany, ma- in which it was taught, who other wife would have en- teria medica, the dietetic part, and the diagnofis mor- gaged in different purfuits. borum. Whilft Linnaeus was meditating one of his capital During the interval of his removal from Stock- performances, which had long been expected and great- holm to Upfal in confequence of this appointment, ly wifhed for, he was interrupted by a tedious and our profeffor was deputed by the Hates of the king- painful fit of the gout, which left him in a very weak dom to make a tour to the iflands of Oeland and Goth- and difpirited ftate; and, according to the intelligence land in the Baltic, attended by fix of the pupils, com- that his friends gave of him, nothing was thought to miffioned to make fuch inquiries as might tend to have contributed more to the reiteration of his fpirits improve agriculture and arts in the kingdom, to than the feafonable acquifition, at this juncture, of a which the Swedifh nation had for fome time paid a collection of rare and undeferibed plants, particular attention. The refult of this journey was The fame which onr author had now acquired by very fuccefsful, and proved fully fatisfaCtory to the his Sy/Iema Natura, of which a fixth edition, much en- ftates, and was afterwards communicated to the pu- larged, had been publilhed at Stockholm in 1748 in blic. On his return he entered upon the profeflbr- 8vo, pp. 232. with eight tables explanatory of the fhip, and pronounced before the univerfity his oration dalles and orders (and which was alfo republilhed de Peregrinationum intra Patriam necejjitate, Odtober 17. by Gronovius at Leyden , had brought, as it were, a 1741 ; in which he forcibly difplays the ufefulnefs of conflux of every thing rare and valuable in every branch, fuch excurfions, by pointing out to the ftudents that of nature, from all parts of the globe, into Sweden, vaft field of objects which their countiy held out to The king and queen of Sweden had their ft*parate col- their cultivation, whether in geography, phyfics, mi- leCtions of rarities; the former at Ulrickfdahl; the neralogy, botany, zoology, or economics, and by Ihow- latter, very rich in exotic infeCts and fhells, procured at ing the benefit that mult accrue.to themfelves and their a great expence, at the palace of Drbttningholm ; both country as rewards to their diligence. That animated of which our author was employed in arranging and de- fpirit which runs through thewhole of this compoiition, feribing. Betides thefe, the mufeum of the royal acade- renders it one of the molt plealing and inltruCtive of all my of Upfal "had been augmented by a confiderable do- our author’s productions. nation from the king, whilit hereditary prince, in Linnasus was now fixed in the fituation that was i 746 ; by another from Count Gyllenborg the year be--, the belt adapted to his character, his tafte, and abili- fore ; by a third from M. Grill, an«opulent-citizen of ties; and which feems to have been the objeCt of his am- Stockholm. bition and centre of his hopes. Soon after his ellablilh- From this time we fee -the profefibr in a more ment, he laboured to get the academical garden, which elevated rank and fituation in life. His reputation had been founded in 1657, put on a better footing, had already procured him honours from almolt all the and very foon effeCted it ; procuring alfo a houfe to be royal focieties in Europe ; and his own fbvereign,, built for the refidence of the profelfor. The whole had truly fenfible of his merit, and greatly elteeming been in ruin ever fince the fire in 1702 ; and at the his character and abilities, favoured him with a mark time Linmeus was appointed profeflbr of botany, the of his diltinCtion and regard, by creating him a garden did not contain above fifty plants that were ex- knight of the polar liar. It was co longer laudntur et otic. His correfpondence with the firft botanilts in alget. His emoluments "kept pace with his fame and Europe foon fupplied him with great variety. He honours : his p raft ice in ,his profeiiion became lucra- yeceived Indian plants from Juflieu of Paris, and from tive ; and we find him foon after poflelTed of his coun- Van Royen of Leyden ; European plants from Haller try-houfe and gardens at Hammarby, about five miles: and Ludwig ; American plants from the late Mr Col- from Upfal. He had moreover received one of the- linfon, Mr Catetby, and others ; and variety of annuals moft flattering teftimonies of the extent and magnitude from Dillenius: in Ihort, how much the garden owed of his fame that perhaps was ever Ihown to any litc- to his diligence and care in a few years, may be leen by rary charaCIer, the llate of the nation which conferred the cataloguepublifhed underthetitle oi Hurt us Upfaiienjis, it, with all its circumftanees, duly confidered. This exhibens Plantas exoticas borto Upfalienfts Academia a fefe was an im itation to Madrid from the king of Spain, (Linnao)illatas ah anno 1742, in annum 1748, additis, dif~ there to prefide as a naturalift, with the offer of an an- ferentiis fytwnymis, habitationibus, hofpitlis, rariorumque de- nual peniion for life of 2000 pilloles, letters of nobi- feriptionibus, ingratiam Jiudiofa jwventutis ; Holm. 1748, lity, and the perfect free exercife of his own religion r 8vo, pp. 306. tab. 3. By this catalogue it appears, that But, after the molt perfeCt acknowledgments of the profefibr had introduced 1100 fpeiies, exclufively the lingular honour done him, he returned for anfwer, of al the Swedilh plants and of varieties; which latter, ‘ that if he had any merits, they were due to his own in ordinary gardens, amount not unfrequently to one- country.’ third of the whole number.' The preface contains a In the year 1755, t^le Royal Academy of Sciences curious hiitory of the climate at Upfal, and the pro- at Stockholm honoured our profefibr with one of the grefs of the feafons throughout the whole year, firft premiums, agreeably to the will of Count Sparree;; - j when L I N l Litmius. who had decreed two gold medals, of ten ducats value ! » each, to be annually given by the academy to the au¬ thors of fuch papers, in the preceding year’s Stock¬ holm A61s, as fliould be adjudged moft ufeful in pro¬ moting agriculture particularly, and all branches of ru¬ ral economy. This medal bore on one fide the arms of the count, with this motto, Superfles in fcientiis amor Frederici Sparre. Linnaeus obtained it in confequence of a paper De Plantis qwz Alpium Suecicarnm indigene, magno ret acononiita et medic* emolumcnto "fieri pojjint ; and the ultimate intention was to recommend thefe plants, as adapted to culture in Lapland. This paper was inferted in the Stockholm A&s for 1754, Vol. XV. Linnaeus alfo obtained the premium centum aureorum, propofed by the Imperial academy of fciences at Pe- terfburg, for the belt paper written to eftablilh or dif- prove, by new arguments, the doftrine of the fexes of plants. It was, if polfible, an additional glory to Lin¬ naeus to have merited this premium from the Peterf- 88 ] LIN commemoration was held at Stockholm, but, as a {till Linnasut. higher tribute, in his fpeech from the throne to the af- "v 1 fembly of the ftates, he lamented Sweden’s lofs by his death. Nor was Linnaeus honoured only in his own country. The late worthy profefibr of botany at Edinburgh, Dr Hope, not only pronounced an eulo- gium in honour of him before his fiudents at the open¬ ing of his ledtures in the fpring 1778, but.alfo laid the foundation-llone of a monument (which he after¬ wards eredted) to his memory, in the botanic garden there j which, while it perpetuates the name and me¬ rits of Linnaeus, will do honour to the founder, and, it may be hoped, prove the means of raifing an emula¬ tion favourable to that fcience which this illuftrious Swede fo highly dignified and improved. As to the private and perfonal charadter of this il¬ luftrious philofopher : His ftature was diminutive and puny; his head large, and its hinder part very high ; his look was ardent, piercing, and apt to daunt the burgh academy; inafmuch as a prpfeflbr of that fo- beholder; his ear not fenfible to mufic ; his temper ciety, a few years before, had with more than common quick, but eafily appeafed. zeal, although with a futility like that of the other antagonifts of our author, endeavoured to overturn the whole Linnasan fyftem of botany, by attempting to /how that the dodtrine of the fexes of plants had no foundation in nature, and was unfupported by fadts and experiments. It appears that Linnaeus, upon the whole, enjoyed a good conftitution ; but that he was fometimes fe- ■verely afflidted with a hemicrania, and was not exempt¬ ed from the gout. About the clofe of 1776, he was feized with an apoplexy, which left him paralytic; and Nature had, in an eminent'manner, been liberal in the endowments of his mind. He feems to have been poffefled of a lively imagination, corredfed however by a ftrong judgment, and guided by the laws of fyftem. Add to thefe, the moft retentive memory, an unremit¬ ting induftry, and the greateft perfeverance in all his purfuits; as is evident from that continued vigour with which he profecuted the defign, that he appears to have formed fo early in life, of totally reforming and fa¬ bricating anew the whole feienee of natural hiftd'ry ; and this fabric he raifed, and gave to it a degree of at the beginning of the year 1777, he fuffered another perfection unknown before -, and had moreover the un- ftroke, which vety much impaired his mental powers. But the difeafe fuppofed to have been the more im¬ mediate caufe of his death, was an ulceration of the urinary bladder; of which, after a tedious indifpofition, he died, January 11. 1778, in the 71ft year of his age. —His principal other works, befide thofe already men¬ tioned, are, The Iter Oelandicum et Gotlandicum, Iter Scanicum, Flora Suecica, Fauna Suecica, Materia Me¬ dico, Philofophia Botanic a. Genera Morborum, different papers in the Acta Upfalienfia, and the Amcenitates Aca¬ demic* The laft of this great man’s treatifes was the Mantijfa Altera, publifhed in 1771 ; but before his death he had finifhed the greateft part of the Mantijfa ‘Tertia, afterwards completed and publifhed by his fon. common felicity of living to fee his own ftrudlure rife above all others, notwithftanding every difencourage- ment its author at firft laboured under, and the oppo- fition it afterwards met with. Neither has any writer more cautioufly avoided that common error of building his own fame on the ruin of another man’s. He every where acknowledged the feveral merits of each author’s fyftem; and no man appears to have been more fenfible of the partial defedts of his own. Thofe anomalies which had principally been the objedts of criticifm, he well knew every artificial arrangement muft abound with ; an.d having laid it down as a firm maxim, that every fyttem muft finally reft on its intrinfic merit, he willingly commits his own to the judgment of pofte- rity. Perhaps there is no circumftance of Linnseus’s To the lovers of fcience it will not appear ftrange, life which fhows him in a more dignified light than his nor will it be unpleafant to hear, that uncommon re- condudt towards his opponents. Difavowing contro- fpedt was fhown to the memory of this great man. We verfy, and juftly confidering it as an unimportant and are told, that “ on his death a general mourning took fruitlefs facrifice of time, he never replied to any, nu- place at Upfal, and that his funeral proceffion was at- merous as they were at one ft: a fon.. tended by the whole univerfity, as well profeffors as To all who fee the aid this extraordinary man has ftudents, and the pall fupported by fixteeu dodtors of brought to natural fcience, his talents muft appear in a phyfic, all of whom had been his pupils.” The kijig very illuftrious point of view ; but more efpecially to of Sweden, after the death of Linnaeus, ordered a me¬ dal to be ftruck, of which one fide exhibits'Linnaeus’s thofe who, from fimilarity of tafte, are qualified to fee more diftindlly the vaft extent of his original defign. bull and name, and the other Cybele, in a dejedted at- the greatnefs of his labour, and the elaborate execution titude, holding in her left hand a key, and furrounded with animals and growing plants; with this legend, he has given to the whole. He had a happy < mand of the Latin tongue, which is alone the language Deam luBus angit amijji; and beneath, Pojl olitum Up- of fctence ; and no man ever applied it more fuccefs- Jalia, die x. Jan. m.dcc.lxxviii. Rege jubente.—The fully to his purpofes, or gave to defeription fuch co¬ fame generous monarch not only honoured the Royal pioufnefs, united with that precifion and concifenefs Academy of Sciences with his prefence when Linnasus’s which fo eminently charadterife his writings. LIN f 80 1 LIN Ltensus, The ardour of Linnasus’s inclinations to the ftudy of H L|nnet- natnre> from his earlieft years, and that uncommon ap- plication which he bellowed upon it, gave him a moll comprehenfive view both of its pleafures and ufefulnefs, at the fame time that it opened to him a wide field hitherto but little cultivated, efpecially in his own country. Hence he was early led to regret, that the ftudy of natural hiftory, as a public inllitution, had not made its way into the univerfities ; in many of which, logical difputations and metaphyfical theories had too long prevailed, to the exclufion of more ufeful fcience. Availing himfelf therefore of the advantages which he derived from a large (hare of eloquence, and an animated ftyle, he never failed to difplay, in a lively and convincing manner, tire relation this lludy hath to the public good} to incite the great to countenance and protect it; to encourage and allure youth into ks purfuits, by opening its manifold fources of pleafure to their view, and Ihowing them how greatly this agree¬ able employment would add, in a variety of inftances, both to their comfort and emolument. His extenfive view of natural hiftory, as connedled with almeft all the arts of life, did not allow him to confine thefe mo¬ tives and incitements to thofe only who were defigned for the praftice of phyfic. He alfo laboured to infpire the great and opulent with a tafte for this ftudy ; and wilhed particularly that fuch as were devoted to an ec- clefiaftic life fhould Ihare a portion of natural fcience } not only as a means of fweetening their rural fituation, confined, as many are, perpetually to a country refi- dence, but as what would almoft inevitably lead, in a variety of inftances, to difcoveries which only fuch fi- tuations could give rife to, and which the learned in great cities could have no opportunities to make. Not to add, that the mutual communication and enlarge¬ ment of this kind of knowledge among people of equal rank in a country fituation, muft prove one of the ftrongeft bonds of union and friendfliip, and contri¬ bute, in a much higher degree than the ufual perilh- ing amufements of the age, to the pleafures and advan¬ tage of fociety. Linnams lived to enjoy the fruit of his own labour in an uncommon degree. Natural hiftory railed it- felf in Sweden, under his culture, to a ftate of per- feftion unknown elfewhere; and was .from thence dif- feminated through all Europe. . His pupils difperfed themfelves all over the globe; and, with their mailer’s fame, extended both fcience and their own. More than this, he lived to. fee the fovereigns of Europe eftablilh feveral public inftitutions in favour of this ftudy; and even profelforlhips eftablilhed in divers univerfities for the lame purpofe, which do honour to their founders and patrons, and which have excited a curiofity for the fcience, and a fenfe of its-worth, that cannot fail to further its progrefs, and in time raife it to that rank which it is intitled to hold among the .pufuits of mankind. LINNET, in ornithology. See Feungilla. —It is remarkable of this bird, that when it builds in hedges, and when in furze-bulhes on heaths, in both which places the nefts are very common, they are made of very different materials. When they build in hedges, they ufe the flender filaments of the roots of trees, and the down of feathers and thiftles; but when they build on heaths, they ufe mofs, principally for the outer part, finifhing it within with fuchthings as the place Vol. X. Part I. will afford. ‘‘Thefe birds will have young ones three or Linfeei four times a-year, efpecially if they are taken away be- 'i fore they are able to leave the nefts. Linternunu, When linnets are to be taught to whiffle tunes, or v to imitate the notes of any other bird, they mull be taken from the old one when they are not above four day’s old; for at. this time they have no idea of the note of the old ones, and will be readily taught to modulate their voice like any thing that is moft fami¬ liar to their ears, and within the compafs of their throats. More care is required in feeding them when taken thus young, than when they are left in the neft till nearly fledged; but they will be reared very well upon a food half bread and half rapefeed boiled and bruifed : this muft be given them feveral times a-day. It muft be made frefti every day, and given them fuf- ficiently moift, but not in the extreme. If it be in the leaft four, it gripes and kills them; and if too ftiff, it is as mifehievous by binding them up. They muft be hung up as foon as taken from the neft, under the bird whofe note they are intended to learn ; or, if they are to be taught to whiffle tunes, it muft be done by giving them leffons at the time of feeding; for they will profit more, while young, in a few days, than in a long time afterwards, and will take in the whole me¬ thod of their notes before they are able to crack hard feeds. Some have attempted to learn them to fpeak in the manner of the parrot or other birds ; and they will arrive at fome fort of perfe&ion in it, with great pains. LINSEED, the feed of the plant linum.——Lin- feed fteeped and bruifed in water gives it very foon a thick mucilaginous nature, and communicates much of its emollient virtue to it. See Linum. LINT. See Flax, Linen, and Linum. Lint, in forgery, is the ferapings of fine linen, ufed by forgeons in drefling wounds. It is made in¬ to various forms, which acquire different names accor¬ ding to the difference of their figures. Lint made up in an oval or orbicular form is called a pledgit; if in a cylindrical form, or in fliape of a date, or olive-ftone, it is called a dojfil. Thefe different forms of lint are required for many purpofes ; as, I. To ftop.blood in frefli wounds, by fill¬ ing them up with dry lint before the application of a bandage : though, if feraped lint be not at hand, a piece of fine linen may be torn into fmall rags, and ap¬ plied in the fame manner. In very large haemorrhages the lint or rags fliould be firft dipped in fome ftyptic liquor, as alcohol, or oil of turpentine; or fprinkled with fome ftyptic powder. 2. To agglutinate or heal wounds; to which end lint is very ferviceable, if fpread with fome digeftive ointment, balfam, or vulnerary liquor. 3. In drying up wounds and ulcers, and for¬ warding the formation of a cicatrix. 4. In keeping the lips of wounds at a proper diftance, that they may not haftily unite before the bottom is well di- gefted and healed. 5. They are highly neceffary to preferve wounds from the injuries of the air. Sur¬ geons of former ages formed compreffes of fponge, wool, feathers, or cotton; linen being fcarce : but lint is far preferable to all thefe, and is at prefent uni- verfally ufed. LINTERNUM, orLiTERUM, (anc. geog.), a ci¬ ty of Campania, fituated at the mouth of the Clanius, which is alfo called Liturnus, between Cumae and M Vul- LIN [ 90 ] L I O Lmtftock Vulturnura. It received a Roman colony at the fame Linuir t)nie w‘t^ Puteoli and Vulturnum ; was improved and ■ ' ' 1 enlarged by Auguftus; afterwards forfeited its right of colonyjhip, and became a prefecture. Hither Sci- pio Africanus the Elder retired from the mean envy of his ungrateful countrymen ; and here he died, and was buried : though this laft is uncertain, he having a monument both here and at Rome. No veftige of the place now remains. . LINTSTOCK, in military affairs, a wooden ftaff about three feet long, having a fharp point in one end and a fort of fork or crotch on the other; the latter of which ferves to contain a lighted match, and by the former the lintftock is occafionaliy ftuck in the ground, or in the deck of a fhip during an engage¬ ment. It is very frequently ufed in fmall veffels, where there is commonly one fixed between every two guns, by which the match is always kept dry, and ready for firing. LINTZ, a very handfome town of Germany, and capital of Upper Auflria, with two fortified caftles; the one upon a hill, the other below it. Here is a hall in which the ftates affemble, a bridge over the Danube, a manufacture of gunpowder, and feveral other articles. It was taken by the French in 1741, but the Auftrians retook it in the-folio wing year. E.» Long. 14. 33. N. Lat. 48. 16. Lintz, a town of Germany, in the circle of the Lower Rhine, and electorate of Cologne, fubjeCt to that eleCtor. It i? feated on the river Rhine, in E. Long. 7. 1. N. Lkt. 50. 31. L1NUM, flax ; a genus of the pentagynia order, belonging to the pentandria clafs of plants; and in the natural method ranking under the 14th order, Gruinales. The calyx is pentaphyllous ; the petals are five, the capfule is quin^uevalved and decemlocular; and the feeds are folitary. Species. 1. The ufitatiffimum, or common annual flax, hath a taper fibrous root; upright, (lender, un¬ branched (talks, two feet and a half high ; garnilhed with narrow, fpear-lhaped, alternate grey-coloured leaves; and the (talks divided into footflalks at top, terminated by fmall blue crenated flowers in June and July; fucceeded by large round capfules of ten cells, containing each one feed. 2. The perenne, or peren¬ nial Siberian flax, hath a fibrous perennial root, fend¬ ing up feveral upright, (trong, annual (talks, branch¬ ing four or five feet high ; garnifhed with fmall nar¬ row, fpear-lhaped, alternate leaves of a dark green co¬ lour ; and terminated by umbellate clufters of large blue flowers in June, fucceeded by feeds in autumn. 3. The catharticum, or purging flax, with leaves oppofite and lanceolate ; the (tern bifurcated, and the corollae acute. This is a very fmall plant, not above four or five inches high; found wild upon chalky hills and in dry plea- fere-grounds. There are 18 other fpecies. Culture. The firft fpecies is cultivated in the fields according to the directions given under the article1 Flax. The fecond fort is raifed from feed in. a bed or border of common • garden-earth, in (hallow drills fix inches- afunder; and when the plants are two or three inches high, thin them to the fame diftance ;■ and in autumn plant them out where they are wanted. Ufes. The firft fpecies may juftly be looked upon as one of the moft valuable of the whole vegetable jkingdci» jl as from the bark; of its (talks ig manufac¬ tured the lint or flax for making all forts of linen- Linus cloth ; from the rags of the linen is-made paper; and II from the feeds is expreffed the lintfeed oil fo ufeful in Liotard. painting and other trades. The feeds themfelves are efteemed an excellent emollient and anodyne : they are ufed externally in cataplafms, to afluage the pain of in¬ flamed tumors: internally, a flight infufion of lin- feed, by wmy of tea, is recommended in coughs as an excellent peCtoral, and of great fervice in pleurifies, nephritic complaints, and fuppreffions of urine. The virtue of the third fpecies is exprefled in its title : an infufion in water or whey of a handful of the. freflv leaves, or a dram of them in fubftance when dried, are faid to purge without inconvenience* LINUS, in claffical hiftory, a native of Colchis, cotemporary writh Orpheus, and one of the moft an¬ cient pacts and muficians of Greece. It is impoffible, at this diftance of time, to difcover whether Linus ■was the difeiple of Orpheus, or Orpheus of Linus. The majority, however, feem to decide this queftion in favour of Linus. According to arbhbilhop Uftier, he flouriflied about 1280 B. C. and he is mentioned by . Eufebius among the poets who wrote before the time of Mofes. Diodorus Siculus tells us, from Dionyfius of Mitylene the hiftorian, who was cotemporary with Ci¬ cero, that Linus was the firft among the Greeks who in¬ vented verfes and mufic, as Cadmus firft taught them the ufe of letters. The fame waiter likewife attributes to him an account of the exploits of the firft Bac¬ chus, and a treatife upon Greek mythology, written in Pelafgian characters, which were alfo thofe ufed by Orpheus, and by Pronapides the preceptor of Homer. Diodorus fays that he added the Hiring lichanos to the Mercurian lyre ; and afcribes to him the invention of rhime and melody; which Suidas, who regards him as the moft ancient of lyric poets, confirms. Mr Marpurg tell us, that Linus invented cat-gut firings for the ufe of the lyre, which, before his time, was only ftrung with thongs of leather, or with different threads of flax ftrung together. He is faid by many writers to have had feveral difciples of great renown ; among whom were Hercules, Thamyris, and, accord¬ ing to feme, Orpheus—Hercules, fays Diodorus, in learning from Linus to play upon the lyre, being ex¬ tremely dull and obftinate, provoked his mailer to ftrike him ; which fo enraged the young hero, that, inftantly feizing the lyre of the mufician, he beat out his brains with his own inftrument. LION, in zoology. See Felis. LIONCELLES, in heraldry, a term ufed for fe¬ veral lions borne in the fame coat of arms. LIOTARD, called the Turlc, an eminent painter, was born at Geneva in 1702, and by his father was defigned for a merchant; but, by the perfuafion of his friends, who obferved the genius of the young man, he was permitted to give himfelf up to the art of painting. He went to Paris in 1725, and in 1738 accompanied the marquis de Puifieux to Rome, who was going am- baffador to Naples. At Rome he was taken notice of by the earls of Sandwich and Befborough, then lord Duncannon, who engaged Liotard to go with them on a voyage to Conftantinople. There he became ac¬ quainted with the late Lord Edgecumbe, and Sir Eve- rard Fawkener, our ambaffador, who perfuaded him to come to England, where he (laid two years. In his journey to the Levant he had adopted the eaftern LIP r 91 ] LIP I-Sp habit, and wore it here with a very long heard. It f II . contributed much to the portraits of himfclf, and fome l^ari‘ . thought to draw cuftomers ; but he was really a paint- v er of uncommon merit. After his return to the con¬ tinent, he married a young wife, and facrificed his beard to Hymen. He came again to England in 1772, and brought a collection of pictures of different mailers, which he fold by auCtion, and fome pieces of glafs painted by himfelf, with furprifing effeCt of light and fliade, but a mere curiofity, as it was fieceffary to darken the room before they could be feen to advan¬ tage ; he affixed, too, as ufual, extravagant prices to them. He ftaid here about two years, as in his former journey. He has engraved fome Turkiffi portraits, one of the emprefs queen and the eldeft arch-duchefs in Turkiffi habits, and the heads of the emperor and emprefs. He painted admirably well in miniature; and finely in enamel, though he feldom praCtifed it. But he is heft known by his works in crayons. His likeneffes were as exaCt as poffible, and too like to pleafe thofe who fat to him ; thus he had great bufi- nefs the firft year, and very little the fecond. Devoid of imagination, and one would think of memory, he could render nothing but what he faw before his eyes. Freckles, marks of the fmall-pox, every thing found its place ; not fo much from fidelity, as becaufe he could not conceive the abfence of any thing that appeared to him. Truth prevailed in all his works, grace in very few or none. Nor was there any eafe in his out-line ; but the ftiffnefs of a bull in all his por¬ traits. Walpole. LIP, in anatomy. See there, n° 102. Hare-Lip, a diforder in which the upper lip is in a manner flit or divided, fo as to refemble the upper lip of a hare, whence the name. See Surgery. LIPARA (anc. geog.), the principal of the ' xflands called JEolia, fituated between Sicily and Italy, with a cognominal town, fb powerful as to have a fleet, and the other iflands in fubje&ion to it. Ac¬ cording to Diodorus Siculus, it was famous for excel¬ lent harbours and medicinal waters. He informs us alfo, that it fuddenly emerged from the fea about the time of Hannibal’s death. The name is Punic, ac¬ cording to Bochart: and given it, becaufe, being a volcano, it ffione in the night. It is now called Li- pari, and gives name to nine others in its neighbour¬ hood ; viz. Stromboli, Pare, Rotto, Panaria, Saline, Volcano, Fenicufa, Alicor, And Uftica. Thefe are called, in general, the Lipari IJlandt. Some of thefe are aftive volcanoes at prefent, though Lipari is not. It is about 15 miles in circumference ; and abounds in corn, figs, and grapes; bitumen, fulphur, alum, and mineral waters. LIPARI, an ancient and very ftrong town, and capital of an ifland of the fame name in the Medi¬ terranean, with a biihop’s fee. It was ruined by Barbaroffa in 1544, who carried away all the in¬ habitants into flavery, and demoliffied the place ; but it was rabuilt by Charles V. E. Long. 15. 30. N. Lat. 38- 35-. Lipari, properly, is the general name of a clufter of iflands. Thefe, according to Mr Houel, are principally ten in number, the reft being only uninhabitable rocks of narrow extent. The largeft and the moft populous of them, that above-mentioned, communicates its name to the reft. Va'cano is a defert but habitable ifland, ly- hipari. ing fouth from the large ifland of Lipari. Salines, v—■ which lies weft-north-weft from the fame ifland ; Fe- licudi, nearly in the fame direftion, but twenty miles farther diftant; and Alicudi, ten miles fouth-weft of Felicudi; are inhabited. Pannari is eaft of Lipari, the famous Stromboli north-eaft, and both of them are inha¬ bited. The reft are in a defart ftate ; fuch as Baziliizzo, which was formerly inhabited; Attalo, which might be inhabited; and L'Examlianca, on' which fome re¬ mains of ancient dwellings are ftill to be found. L'Efcanera is nothing but a bare rock. The Fermicoli, a word fignifying ants, are a chain of fmall black cliffs which run to the north-eaft of Lipa¬ ri, till within a little way of Exambianca and Efcanera, rifing more or lefs above the water, according as the fea is more or lefs agitated. Ancient authors are not agreed with refpeft to the number of the Lipari iflands. Few of thofe by whom they are mentioned appear to have feen them : and in places fuch as thefe, where fubterraneous fires burft open the earth and raife the ocean from its bed, ter¬ rible changes muft fometimes take place. Vohanella and Volcano were once feparated by a ftraight f® as to form two iflands. The lava and affies have filled up the intervening ftrait'; and they are now united into one ifland, and have by this change become much more habitable. The caftle of Lipari Hands on a rock on the eaft quarter of the ifland. The way to it from the city leads up a gentle declivity. There are feveral roads to it. This caftle makes a part of the city ; and on the fummit of the rock is the citadel, in which the governor and the garrifon refides. The cathedral Hands in the fame fituation. Here the ancients, in conformity to their ufual pradftice, had built the tem¬ ple of a tutelary god. This citadel commands the whole city ; and it is acceffible only at one place. Were an hoftile force to make a defeent on the ifland, the inhabitants might retreat hither, and be fecure a- rpr ^ all but the attacks of famine. ‘J. ne ancient inhabitants had alfo fortified this place. Confiderable portions of the ancient walls are ftill Handing .in different places, particularly towards the fouth : their ftrudlure 'is Grecian.; and the ftones are exceedingly large, and very well cut. The layers a:e three feet high, which ffiows them to have been raifed in fome very remote period. Thefe remains are fur- rounded with modern buildings. The remains of walls, which are ftill to be feen here, have belonged not only to temples, but to all the different forts of buildings which the ancients ufed to ereft. The vaults, which are in a better ftate of prefervation than any of the other parts of thefc monuments, are now converted to the purpofes of a prifon. In the city of Lipari there are convents of monks of two different orders; but there are no convents for women, that is to fay, no cloifters in which women arc confined ; thofe, however, whofe heads and hearts move them to embrace a ftate of pious celibacy, are at liberty to engage in a monaftic life, with the concur¬ rence of their confeffors. They put on the faced ha. bit, and vow perpetual virginity, but continue to l:vt with their father and mother, and mix in fociety like other women. The vow and the habit even enlarge M 2 their LIP Igi] LIP their liberty. This cuftora will, ilo doubt, M. Houel obferves, appear very ftrange to a Frenchwoman ; but this was the way in which the virgins of the primitive church lived* The idea of ihutting them up together did not occur till the fifth century. The life of thefe religious ladies is lefs gloomy than that which thofe un¬ der the fame vows lead in other countries. They wear cloaths of particular colours, according as they belong to this or that order. Their drefs gives them a right to frequent the churches at any hours ; and the voice of cenfure, which takes particular pleafure in directing her attacks againft pious ladies, goes fo far as to afiert, that fome young women affume the. habit with no other views but that they may enjoy greater free¬ dom. In this jfiand oxen of a remarkably beautiful fpecies are employed in ploughing the ground. The ancient plough is ftill in ufe here. The mode of agriculture praftifed here is very expeditious. One man traces , a, furrow, and another follows to fow in it grain and pulfe. The ploughman, in cutting ,the next furrow, covers up that, in which the feed has been fown : and thus the field is both ploughed and fown at once. Na¬ ture feems to be here uncommonly vigorous and fer¬ tile. Vegetation is here more luxuriant, and animals gayer and more healthful, than almoft any where elfe. Near the city of Lipari, the traveller enters deep narrow roads, of a very lingular appearance. The whole illand is nothing but an aflemblage of moun¬ tains, all of them confifting of alhes or lava difcharged from the depths of the volcano by which it was at firft produced. The particles of this puzzolana, or afhes, are not very hard-; the aftion of the rain-water has accordingly cut out trenches among the moun¬ tains; and thefe trenches being perhaps lefs uneven than the reft of the furface, have of confequence been ufed as roads, by the inhabitants, and have been ren- dere4 much deeper by being worn for fo many ages by the feet of men and other animals. Thefe roads are more than five or fix fathoms deep, and not more than feven or eight feet wide. They are very crooked, and have echoes in feveral places. You would think that you were walking through: narrow ftreets with¬ out doors or windows. Their depth and windings fhelter the traveller from the fun while he is pafiing hrough them ; and he finds them, delicioufly cool. The firft volcanic eruption in the Lipari illands, mentioned in hiftory, is that of which Callias takes no¬ tice of in his hiftory of the wars in Sicily. Callias was contemporary with Agathocles. - That eruption con¬ tinued without interval for feveral days and nights; and threw out great ftones, which fell at more than a mile’s diftance. The fea boiled all around the ifiand. The works of Callias are loft, and we know not whe¬ ther he defcended to a detail of particulars concerning the ravages produced by this eruption. Under the confullhip of JEmilius Lepidus and L. Aurelius O- reftes, 126 years before the Chriftian era, thefe iflands were affefted with a dreadful earthquake. The burn¬ ing of iEtna was the firft caufe of that. Around Lipari and the adjacent iflands, the air was all on fire. Ve¬ getation was withered ; animals died; and fufible bo¬ dies, fuch as wax and refin, became liquid. If the inhabi tants of Lipari, from whom our author received thefe fads, and the writers who have handed down an ac- 2 count of them, have not exaggerated the truth, we Idparf. muft believe that the fea then boiled around the ifland; the earth became fo hot as to bum the cables by which veffels were fixed to the fliore, and confumed the- planks, the oars, and even the fmall boats. Pliny, the naturalift *, fpeaks of another fimilar * Ltb.n*. event which happened 30 or 40 years afterwards, ia^‘ 10 * the time of the war of the allied ftates of Italy againft Rome. One of the Eolian iflands, fays he, was all on fire as well as the fea ; and that prodigy continued to appear, till the fenate appeafed, by a deputation, the wrath of the gods. From the time of that war, which happened 86 years before the birth of our Saviour; till the year 144 of our era, we have no account of any eruption of thefe volcanoes; and from that period again, till the year 1444, we hear of no explofion from them, that is, for the fpace of 1300 years. But; at that time, both Sicily and the Eolian ifles were agita¬ ted by dreadful fhocks of earthquake : the volcano of thefe hies poured forth ftreams of lava with an awful violence, and emitted a volume of flame and fmoke which rofe to an amazing height. After that it dif¬ charged enormous ftones which fell at the diftance of more than fix miles. A century later, in the year 1550,, the fury of- this volcano was again renewed. The allies and ftones difcharged from the crater filled up the ftrait between Volcano and Volcanello. About two centuries after that, in the year 1739; there was a fixth eruption. The burftings of the vol¬ canic fire were attended with a noife fo dreadful, that it was heard as far as Melazzo in Sicily. Father Leandro Alberti fays, that on one of thofe dreadful occafions; the women of Lipari, after cm* ploying in vain all the faints, vowed to drink no more wine if the volcano fliould fpare them. Their giving up this fmall gratification was doubtlefs of great fervice; yet the eruptions ftill continue, and have even become more frequent fince that time; Only 36 years intervened between this eruption and that which happened in the year 1775. The whole ifland was then fliaken ; fubterraneous thunder was heard ; and confiderable ftreams of flame, with fmoke; ftones, and vitreous lava, iffued from the crater. Li¬ pari was covered over with allies.; and part of theft was conveyed by the winds all the way into Sicily. Five years after, however, in the month of April 1780; there iffued a new explofion from Volcano ; the fmoke was thick, the Ihocks conftant, and the fubtertaneous noife very frequent. So great was the confternation among the inhabitants of Lipari on thisoccafion, that the commander Deodati Dolomieu, who vifited thefe illands not long after that event, informs us, that the inhabitants in general, but efpecially the women, de¬ voted t-hemfelves as flaves to the fervice of the bleffed virgin ; and wore on their arms, as tokens of their fer- vitude, fmall iron, chains, which they ftill continue to wear; This aft of piety, however; was not fo efficacious as the deputation of the fenate had been. For after that deputation, more than 200 years paffed before the Eolian ifles were afflifted by any other eruption, at leaft by any confiderable one : Whereas, in three years after the ladies devoted themfelves in fo fubmilfive a maufter to the fervice of the virgin, the ifles of Li¬ pari LIP l 93 ] LIP pari were agitated anew by that fatal earthquake which ravaged Calabria, and part of Sicily, on the 5th of February 1783. The dry baths of St Calogero, in the ifland of Li- pari, are doves* where fulphureous exhalations, known to be of a falutary nature, afcend out of the earth by holes or fpiracles. A- range of* apartments are built around the place where the exhalations arife. The heat is communicated through thofe apartments in fuch a way, that when entering at one end, you ad¬ vance towards the other, the heat ftill increafes upon you till you gain the middle apartment, and again di- minilhes in the fame manner a-s* you proceed from the middle to the other end of the range of chambers. In eonfequence of- this difpofition of thefe apartments, the Tick perforr can make choice of that temperature which-beit fuits the nature of his difeafe. There are a few miferafele huts and a fmall chapel for the acom- modation of the people who repair to thefe baths. The people of the place are ready to attend them. Phyiicians likewife follow their patients thither, when the difeafe is of fuch a nature as to render, their at¬ tendance requilite, and the patient rich enough to af¬ ford them handfome fees: but there is no phyfician fettled in the place. Befides thefe dry baths, there are baths of hot water diitinguilhed by the name of St Ca- iogero’s baths. There are around them buildings-fuf- hcient to lodge a confiderable number of fick people with their neceflary attendants. At prefent, however, thofe buildings are but in a bad'condition. The baths confill of two halls; one fquare, the other round. The former is antique ; it has been built by the Romans; it is arched with a cupola, and 12 feet in diameter ; it has been repaired : The other is like¬ wife arched with a cupola both-within and without; The water comes very hot into the firft,. it gullies up from among pieces of lava, which eompofe apart ©f the mountain at the foot of which thefe baths are built. ThofeHones remain, in their natural*date. All that has been-done is the raifing. of a fquare building inclofing them- Within that-building the Tick per- fons either lit down on the ftones, or immeife them* felves in the intervening cavities which are filled with water. They continue there for. a certain time, and approach nearer to, or remain at a farther diftanee from, the fpring, aecordtng as their phyfician dire ft s. The place ferves alfo as a Rove. The hot vapours a- rifing from* the water communicate to the furround¬ ing atmofphere a confiderable degree of heat. It is indeed not inferior to that of the hot baths of Ter¬ mini, which* owe their heat to a fimilar caufe. In thefe baths,* therefore, a perfon can have the benefit either of bathing in the hot water, or of expofing him* felf to the vapour, the heat of of which is'more mode¬ rate. The bath before mentioned, under the appella¬ tion of dry bath, is alto a ftove; but the hot vapour with which it is filled iffues direflly from the vol¬ cano. The place of the bath is, however, at fuck a diitance from the volcanic focus, that the heat is not at all intolerable. The mountain at the foot of which thefe baths are fituated. is round, and terminates at the fummit in a rock of pstrified allies, which a--e very hard and of a very fine grain. This pe^Rcation confifts of pretty regular ftrata, and appears to have been greatly prior in its origin to the adjacent rocks ; which confift like¬ wife of alhes, but allies that have been depofited at a much later period. From this rock there proceeds likewife a ftream of hot water, by which fome mills in the neighbourhood are moved. It cannot but appear furprifing, that nature has placed nearly on the fummit of a volcanic mountain fprings which fupply fo confiderable a quantity of wa¬ ter. To account for fuch a phenomenon would be well worthy of fome ingenious naturalift. Nor are thefe hot fprings all; proceeding around the fame hill, at about a mile’s diftance, we find a fpring of cold water, which originates from the fummit of the fame rock; that on the north-weft produces three hot fprings. The cold water is very pleafant to drink, and much ufed both by men and cattle. Among thefe mountains there are many enormous loofe mafles of lava, the appearance of which, M. Houel informs us, naturally leads the obferver to take notice, that the lava of the volcano of Lipari is of a much greater diverfity of colours, and thofe richer and more lively, than the lava of Vefuvius and Etna; The lava of Lipari is in fome places, for feveral miles, of a beautiful red colour. It contains likewife in great abundance fmall black cryftallifed fcorite, as well as the fmall white grains which are commonly found in lava. Liparr, Among the eminenees which overlook • tlie city of Lipari, there are fome rocks ofa fpecies which is very rare in Europe. Thofe are large maffes of vitrified matter, which rife fix or eight feet above the furface of the ground, and appear to extend -to a great depth under it. They exift, through that range of moun¬ tains, in enormous -maffes, mixed with lavas of every different colour, and always Handing detached and in* fulated. Were they cut and followed under ground, they would probably be found to exift in immenfe quarries in the bowels of the earth. The glafs of which they confift might be employed with great ad* vantage in manufa&ures. It is ready made, and might be eafily purified. It is green, compadl, and tranf- parent. The cultivation of the ground is the chief employ* me-nt of the inhabitants of Lipari. The pofleffion of a few acres of land here gives a man great importance. Parents, when they fettle their children, rather give them money than any part of their lands.* _ More than two-thirds of the ifland is planted v ith vines : three-fourths of the grapes which thefe produce are dried, and fent moftly to London under the name of Pajfola. There are different forts of paffola : one off thefe, called the black pajj'olina, is prepared from a par¬ ticular kind of grape, of which the berries are uncom¬ monly fmall; and fold to Marfeilles, Holland, and Triefte. The vines are in fmaH arbours, which rife only to the height, of two feet and an half above the ground. U»Jer thole arbours there grow beans, gourds, and other leguminous vegetables. In lb hot a climate, the fliade of the vines does not injure but proteft the vegetables growing under it: they would other-wife be withered by the heat of the fun. The method of- preparing paffola and paflblina is curious enoughi They firft make a lixivium of common afhes; after boiling this, they pafs it through a cloth or a lieve; they then put it again on the fire; and wheu-i L I P when It Is obferved to boll bard, fuddenly Iramcrfe the grapes, but inftantly bring them out again, and ex- pofe them to the fun to dry on broad frames of cane. When fufficiently dry, the raifins are put into cades and barrels to be fold and exported. The number of cades of different forts of raifins annually exported from L.ipari are eflimated at x 0,000. This idand lilcewlfe produces figs. There is fome white malmfey and a little red wine exported from it. About 60 or 80 years fince, fulphur was one of the articles with which the inhabitants of this ifland fup- plied foreign merchants. But that trade has been gi¬ ven up ; from an idea which the Liparefe entertain, that fulphur infedts the air fo as to injure the ferti¬ lity of the vines. The fame prejudice prevails in Si¬ cily ; but it feems to be ill-founded. There are courts of juftice in Lipari, of the fame powers and chara&er with thofe in the cities of Sicily. Caufes of more than ordinary importance are carried to Palermo. The ifland is entirely free from every kind of im- pofition. The king receives nothing from it; becaufe Count Roger anciently beftowed on its bifhop all his rights of royalty over Lipari. The bifhop there re¬ ceived annually from the inhabitants a tenth part of the products of their lands. They afterwards, to pre¬ vent fraud, eftimated the value of that tithe for one year; and on the condition of their paying in future a fum of money equal to what that year’s tithe was va¬ lued at, he not only gave up his right to the tithe, but alfo ceded to them a confiderable extent of land which belonged to him. In the archiepifcopal palace, and in the palace of the Baron de Monizzio, there are fome noble pieces of painting by Sicilian painters:—A St Peter, a St Rofalia, Jefus difputing with the Jewifh debtors, the adulterous woman, the incredulity of St Thomas. LIPOTHYMIA, fainting, may arife from feve- ral caufes ; as too violent exercife, fupprefiion of the menfes or other accuftomed evacuations, &c. See (the Index fubjoined to) Medicine. LIPPA, a town of Hungary, with a cattle. It was taken by the Turks in 1552 ; by the Imperialifts in 1688 ; and by the Turks again in ; who aban¬ doned it in 1695, after having demolifhed the fortifi¬ cations. It is feated on a mountain, in E. Long. 21. 55. N. Lat. 36. 5. LIPPE, the capital of a country of the fame name in Germany, and the circle of Weftphalia. It is feat¬ ed on a river of the fame name, and was formerly the refidence of the principal branch of the houfe of Lippe. It is now in the pofieffion of the king of Pruffia, and carries on a good trade in preparing timber for build¬ ing vettels on. the Rhine, with which it has a commu¬ nication by the river Lippe. The country round it is un- wholefome and marfliy. E. Long. 8.. x i. N. Lat. 51.43. LIPPI (Lorenzo),a painter of hiftory and portraits, was born in 1606, and learned the principles of paint¬ ing from Matteo Rofelli. He had an exquifite geniua for mufic and poetry, as well as for painting ; and in the latter, his proficiency was fo great, that fome of his compofitions in the hiftorical ftyle were taken for thofe of Rofelli. However, growing at laft diffatisfied with the manner of that matter, he chofe the manner #f Santi di Titi, who was excellent both in'defign and L I 0. invention, and appeared to have more of fimple nature Lijfej and truth in his compofitions than any other artift of || r that time. At Florence Lippi painted many grand Liquidara- defigns for the chapels and convents, by which he en- bar' . larged his reputation; and at the court of Infpruck, " v he painted a great number of portraits of the firft no¬ bility, which were defervedly admired. Yet, altho* he was fond of imitating fimple nature without any embellifhments from invention, his works are held in the higheft efteem for the graceful airs of the heads, for the corre&nefs of his outline, and for the elegant difpofition of the figures. He died in 1664. LIPSIUS (Juftus), a learned critic, was born at Ifch, a fmall village near Brufiels, in 1547. After having diftinguiflied himfelf in polite literature, he became fecretary to cardinal de Granvellan at Rome, where the beft libraries were open to him ; and he fpent much labour in collating the MSS. of ancient authors. He lived 13 years at Leyden ; during which he compofed and publifhed what he efteems his beft works ; but fettled at Louvain, where he taught po¬ lite literature with great reputation. He was re¬ markable for unfteadinefs in religion, fluctuating often between the Proteftants and Papifts ; but he became finally a bigotted catholic. He died at Louvain in 1606 ; and his works are collected in fix volumes folio. LIQUEFACTION, an operation by which a fo- lid body is reduced into a liquid ; or the action of fire or heat on fat and other fufible bodies, which puts their parts into a mutual inteftine motion.—The lique¬ faction of wax, &c. is performed by a moderate heat; that of fal tartari, by the mere moifture of the air. All falts liquefy ;. fand, mixed with alkalies, becomes liquefied by a reverberatory fire, in the making of glafs. In fpeaking of metals, inftead of liquefaction, we ordinarily ufe the word fjion. LIQUID, a body which has the property of fluidi¬ ty ; and, befides that, a peculiar quality of wetting other bodies immerged in it, arifing from fome con¬ figuration of its particles, which difpofes them to ad¬ here to the furfaces of bodies contiguous to them. See Fluid. Liquid, among grammarians, is a name applied td certain confonants oppbfed to mutes. Thus 1, m, n, and r, are liquids. LIQUIDAMBAR,sweet-gum-tree, inbotany: A genus of the polyandria order, belonging io the moncecia clafs of plants; and in the natural method ranking with thofe of which the order is doubtful. The male calyx is common, and triphyllous; there is no corolla, but numerous filaments ; the female calyces are collected into a fpherical form, and tetraphyllous; there is no corolla, but feven ftyles; and many bi- valved 'and monofpermous capfules collected into a fphere. There are only two fpecies, both decidu¬ ous, viz. 1. The ftyraciflua, or the Virginia or maple-leaved liquidambar; a native of the rich moift parts of Virginia and Mexico. It will flioot in a regu¬ lar manner to thirty or forty feet high, having its young twigs covered with a fmooth, light-brown bark, while thofe of the older are of a darker colour. The leaves are of a lucid green, and grow irregularly on the young branches, on king footftalks : They refemble thofe of the common maple in figure ; the lobes are all ferrated ; and from the bafe of the leaf a ftrong mid- 3 rib [ 94 3 L I CL -f 95 1 L I O Liquidam- rib runs to the extremity of each lobe that belongs to tar. jt> The flowers are of a kind of faffron colour : They “ are produced at the ends of the branches the beginning of April, and fometimes fooner ; and are fucceeded by large round brown fruit, which looks Angular, but is thought by many to be no ornament to the tree. 2.Theperegrinum, Canada liquidambar, or fpleenwort- leaved gale-, is a native of Canada and Penfylvania. The young branches of this fpecies are flender, tough, and hardy. The leaves are oblotg, of a deep green colour, hairy underneath, and have indentures on their edges al¬ ternately very deep. The flowers come out from the fides of the branches, like the former; and they are fucceeded by fmall roundifli fruit, which feldom ripens -- in England. Propagation. This may be performed either by feeds or layers ; but the firft method is thebeft. I. We re¬ ceive the feeds from America in the fpring. Againil their arrival, a fine bed, in a warm well flickered place, ftiould be prepared. If the foil is not naturally good, and inclined to be fandy, it fliould be wholly taken out near a foot deep, and the vacancy filled up with earth taken up a year before from a frefli pafture with the fward, and all well rotted and mixed by being often turned, and afterwards mixed with a fixth part of drift or fea-fand. A dry day being made choice of, early in March, let the feeds be fown, and the find! of this compoft riddled over them a quarter of an inch deep. When the hot weather in the fpring comes on, the beds (hould be (haded, and waterings given often, but in very fmall quantities, only affording themagentk, nay, a very fmall fprinkling, at a time. Millar fays, the feeds of thefe plants never come up under two years. But, continues Hanbury, with this eafy management, 1 hardly ever knew it longer than the end of May be¬ fore the young plants made their appearance. The plants being come up, (hading (hould kill be afforded them m the parching fuinmer, and a watering every other night; and this will promote their growth, and caufe them to become ftronger plants by the autumn. In the autumn, the beds (hould, be hooped to be co¬ vered with mats in the fevere frofts. Thefe mats, how¬ ever, (hould always be taken off in open weather ; and this is all the management they will require during the firft winter. The fucceeding fummer they will re¬ quire no other trouble than weeding; though, if it {hould prove a dry one, they will find benefit from a little water nowr-and then. By the autumn they will be grown ftrong enough to refill; the cold of the fol¬ lowing winter, without demanding the trouble of mat¬ ting, if the fituation is well flickered ; if not, it will be proper to have the hoops prepared, and the mats ready, againft the'black northern frofts, which would endanger at lead their lofing their tops. After this, nothing except weeding will be wanted; and in the fpring following, that is, three years from their firft appearance, they fnould be taken up (for they (hould not be removed before, unlefs fome of the ftrongeft plants be drawn out of the bed), and planted in the nurfery a foot afunder, and two feet diftant in the rows. Hoeing the weeds in the rows in the fummer, and digging them in the winter, is all the trouble they will afterwards occafion until they are finally planted out. 2. Thefe plants are eafily increafed by layers. The operation muft be performed in the autumn, on the young fummer’s (hoots; and the bed way is by flit¬ ting them at a joint, as is praftifed for carnations. In Liquor a ftrong dry foil, they will be often two years or more .. .11 before they ftrike root; though, in it fine light foil, lvl([’°nCn* they will be found to take freely enough. By this me- , -1 thod good plants may be obtained ; though it is not fo eligible as the other, if we have the conveniency of procuring the feeds. Properties. The leaves emit their odoriferous par¬ ticles in fuch plenty as to perfume the circumabient air; nay, the whole tree exfudes fuch a fragrant tranf- parent refin, as to have given occafion to its being taken for the fweet ftorax f. Thefe trees, therefore, ^ See are very proper to be planted fingly in large opens, that they may amply difplay their fine pyramidal growth, or to be fet in places near feats, pavilions, &c. . The rofin was formerly of great ufe as a perfume, but is at prefent a ftranger in tire (hops. LIQUOR, a name for any fluid fubfiance of the aqueous or fpirituous kind. The principal beverage amongft the Jews, as well as the Greeks and Romans, in their early ftate, was wa¬ ter, milk, and the juices of various plants infufed therein. For a long time, under the commonwealth of Rome, wine was fo fcarce, that in their facrifices to the gods the libations were made with milk only. Wine did not become common there till A.U.C. 6oo,. when vines began to be planted. Liquor of Flints. See Chemistry, n” 1069. SmokingLiQyoRof Libavius. See Chemistry, h"8iq. Mineral Anodyne Liquor of Hoffman. This is a compofition of highly rettified fpirit of wine, vitriolic ether, and a little of the dulcified oil of vitriol. It is made by mixing an ounce of the fpirit of wine, which rifes firft in the diftillation of ether, with as much of the liquor which is to be diftilled, and afterwards by diflblving in the mixture which rifes next, and which contains the ether, 12 drops of the oil which rifes after the ether is paffed. This has the fame virtues with the ether, and is now generally difufed, the pure ether- being fubftituted in its place. LIQUORICE. See Glycyrrhiza. LIRIODENDRON, the tulip-tree, in bo-- tany : A genus of the polyginia order, belonging to the polyandria clafs of plants; and in the natu¬ ral method ranking under the yad order, CoadunaU. The calyx is triphyllous ; there are nine petals; and the feeds imbricated in fuch a manner as to form a cone. There is but one fpecies, viz. the tulipi- fera, a deciduous tree, native of moft part of America. It rifes with a large upright trunk, branching 40 01 50 feet high. The trunk, which often attains to a cir¬ cumference of 30 feet, is covered with a grey bark. The branches, which are not very numerous, of the two-years-cld wood, are fmooth and brown ; while the bark of the fummer’s (hoots is fmoother and (hining, and of a bluifti colour. They are very pithy. Their young wood is green, and when broken emits a ftrong feent. The leaves grow irregularly on the branches, on long footftalks. They are of a particular ftructure, being compofed of three lobes, the middlemoft of whiclu is (hortened in fuch a manner that it appears as if it had been cut off and hollowed at the middle : The two others are rounded off. They are about four or five inches long, and as many broad. They are of two co¬ lours ; their upper furface is fmooth, and of a ftronger green than the lower. They fall off pretty early in au- uwaa-i LIS [96] LIS Luiioden-tumn; and the buds for the next year’s dhoots foon after begin to fwell and become dilated, infomuch that, ' by the end of December, thofe at-the ends of the branches will become near an inch long and half an inch broad. The outward laminas^of thefe leaf-buds are of an oval . figure, hav.e fev;eral longitudinal veins, and are of a bluifh colour. The flowers are produced with jus in July, at the ends of the branches: They fome- what referable the tulip, which occafions its being cal¬ led the Tulip-tree. The number of petals of which each-iscompofed, like thofe of the tulip, is fix,; and t thefe are fpotted with green, red, white, and yellow, thereby making a beautiful mixture. The flowers are fucceeded by large cones, which never ripen in Eng¬ land. Propagation. This is very eafy, if the feeds are good; for by thefe, which we receive from abroad, they are to be propagated. No particular compoft need be fought for; neither is the trouble of pots, boxes, hot¬ beds, &c. required,: They will grow exceedingly well in beds of common gardenmiould, and the plants will be hardier and better than thofe raifed with more tender- nefs and care. Therefore, as foon as you receive the feeds, which is generally in February, and a few dry days have happened, fo that the.mould will work freely, flow the feeds, covering them three quarters of an ingh deep ; and in doing of this, obferve to lay them length- wife, otherwife, by being very long, one part, perhaps that of the -embryo plant, may be out of the ground fbon, and the .feed be loft. This being-done, let-the beds be hooped; and as foon as the hot weather and drying winds come on in the fpring, let them be co¬ vered from ten o’clock in the morning till fun-fet. If little rain happens, they muft be duly watered every ether day; and by the end of May the plants will come up. Shade and watering in the hotteft fummer muft be afforded them, and they will afterwards give -very little trouble. The next winter they will want no other care than, at the approach of it, flicking dome furze-bufhes round the bed, to break the keen edge of the black frofts ; for it is found that the feed- lings of this fort are very hardy, and feldom fuffer by ' any weather. After they have been two years in the feed-bed, they fhould be taken up and planted in the nurfery, a foot afunder, and two feet diftant in the rows. After this, the ufual nurfery care of hoeing the weeds, and digging between the rows in the winter, will fuffice till they are taken up for planting out. UJes. The tulip-tree, in thofe parts of America where it grows common, affords excellent timber for many ufes : particularly, the trunk is frequently hol¬ lowed, and made into a canoe fufficient to carry many people; and for this purpofe no tree is thought more proper by the inhabitants of thofe parts. With us, it may be ftationed among trees of forty-feet growth. LIS or Lys (John Vander), painter of hiftory, landfcapes, and converfations, was born at Oldenburgh in 1570, but went to Haerlem to place himfelf as a difciple under Henry Goltzius; and as he was endowed with great natural talents, he foon diftinguiihed him¬ felf in that fchool, and imitated the manner of his ma¬ iler with great fuccefs. He adhered to the fame ftyle till he went to Italy ; where, having vifited Venice and Rome, he ftudied the works of Titian, Tintoretto, Paolo Veronefe, and Domenico petti, fo effectually, that he improved his tafte and judgment, and altered K0 IBs- his manner entirely. He foon received marks of public Lfs. approbation ; and his compofitions became univerfally Litbrm, admired for their good expreffion, for their lively and 'r~~“ natural colouring, and the fweetnefs and delicacy of his pencil: although it muft be acknowledged,- that he could never totally diveft himfelf of the ideas and tafte peculiar to the Flemings. His fubjedls ufually were hiftories taken from the facred writings, or the repre- ftntation of rural fports, matriages, balls, and villagers dancing, dreffed in Venetian habits; all which fubje&s he painted in a fmall as well as a large fize, with a number of figures, well defigned, and touched with a great deal of delicacy. He was likewife accounted to paint naked figures admirably, with natural and elegant attitudes, and a very agreeable turn of the limbs. A capital pifture of this mafter is, Adam and Eve lamenting the death of Abel; which is extremely ad¬ mired, not only for the expreffion, but alfo for the beauty of the landfcape: and in the church of St Ni¬ cholas at Venice is another of his paintings, reprefent- ing St Jerom in the defart, with a pen in his hand, and his head turned to look at an angel, who is fuppofed to be founding the laft trumpet. The colouring jot this picture is rather too red; but it is defigned in a fine ftyle, and charmingly penciled. The paintings of this mailer are very rarely to be purchafed. He died in -1629. Lis (John Vander) of Breda, hiftorical painter, was born at Breda about the year 16© 1, and became a dif-. - ciple of Cornelius Polemburg, whofemanner heimitated with extraordinary exaftnefs, in the tints of hiscolouring, his neatnefs of pencilling, and the choice of his fubjefts. There are fome paintings of this mailer's hand, which, tho’ they appear to have fomewhat lefs freedom and lightnefs of touch, are nearly equal to thofe of Polem¬ burg, and are frequently taken to be his. At Rotterdam, in the poffelfion of Mr Biffchop, there is a delicate painting reprefenting Diana in the Bath, attended by her nymphs ; and his moft capital performance, in England, is faid to be in the poffeffion of the Vifcount Middleton. The portrait of Vander Lis, painted by himfelf, is in the poffeffion of Horace Walpole, Efq; which is deferibed by that ingenious gentleman, as being worked up equal to the fmoothnefs of enamel. LISBON, the capital of the kingdom of Portugal, fituated in the province of Eftremadura, on the banks of the river Tagus, in W. Long. 9. zy. N.Lat. 38. 25. It was anciently called O/t/ipo, Ohjippo, and Ulyfipo, which are fuppofed to be derived from the Phenician Ulifubbo or Oliftppo fignifying in that tongue a pleafant bay, fuch as that on which this city Hands. It firft be¬ came confiderable in the reign of king Emmanuel; from that king it hath been the capital of the kingdom, the refidence of its monarchs, the feat of the chief tribu¬ nals, and offices of the metropolitan, .a noble univerfity, and the receptacle of the richeft merchandize of the Eaft and Weft Indies. Its air is excellent; being re- frefted by the delightful fea-breezes, and thofe of the Tagus. The city extends for about two miles along the Tagus; but its breadth is inconfiderable. Like old Rome, it ftands on feven hills: but the ftreets in gene¬ ral are narrow and dirty, and fome of them are very fleep ; neither are they lighted at night. The churches, in general, are very fine ; but the magnificence of the chapel-royal is amazing. Here is one of the fineft harbours in the world ; and there were a great number hot LIS L 97 1 LIS not only of fine chufchcs and convents here, but alfo of other public buildings, and particularly of royal pa¬ laces, and others belonging to the grandees ; but the greateft part of them, and of the city, were deftroyed by a moft dreadful earthquake, on Novvi. 1755, from which it will require a long time to recover. The inhabitants, before the earthquake, did not at moft exceed 150,000. The government of it is lodged in a council, confiftingof a prefident, fix counfellors, and other inferior officers. The harbour has water enough for the largeft fhips, and room enough for 10,000 fail without being crowded. For its fecurity, there is a fort at the mouth of the river, on each fide, and a bar that runs acrofs it, and is very dangerous to pafs with¬ out pilots. Higher up, at a place where the river is confiderably contradted, there is a fort called Torre de Belem, or the Tower of Belem, under whofe guns all fhips muft pafs in their way to the city ; and on the other fide are feveral more forts. Before the earth¬ quake, moft of the private houfes were old and un- fightly, with lattice-windows ; and the number of con¬ vents and colleges amounted to 50, namely, 32 for monks and 18 for nuns. The king’s principal palace ftands on the river, and is large and commodious. Of the hofpitals, that called the Great is obliged to re¬ ceive all perfons, of what degree, nation, or religion foever, without exception. At the village of Belem, near Lifbon, is a noble hofpital for decayed gentlemen who have ferved the king, and have not wherewithal to maintain themfelves. That called the houfe of mercy is alfo a noble charity. In the centre of the city, upon one of the higheft hills, is the caftle, which com¬ mands the whole, being large and ancient, and having always a garrifon of four regiments of foot. The cathedral is a vaft edifice of the Gothic kind, but heavy and clumfy : it contains, however, great riches, and is finely adorned within. The fquare called Roffio is large, and furraunded with magnificent buildings. The whole city is Under the ecclefiaftical jurifdi&ion of the patriarch, who was appointed in the year 1717. Here is alfo an archbifhop, who has, or at leaft had before the ercftion of the patriarchate, a revenue of 40,000 crufadoes, or 60001. The univerfity, which was removed for fome time to Coimbra, but afterwards reftored to its ancient feat, makes a confiderable figure, though much inferior to that of Coimbra. LISBURN, a town of Ireland, in the county of Antrim and province of Ulfter, 73 miles from Dublin. It was burnt down about 50 years ago ; but is now rebuilt in a neat and handfome manner, and has a large linen manufa&ory. It is feated on the river Laggan, in W. Long. 6. 20. N. Lat. 54. 31. It gives title of earl to the family of Vaughan ; and it returns two members to parliament, one half of the patronage of this borough being in the earl of Hertford. Fairs held 2ift of July and 5th Odfober. LISIEUX, a confiderable town of France, in Up¬ per Normandy, with a biffiop’s fee. The churches and religious houfes, and the biftiop’s palace, are all very handfome ftru&ures. It is a trading place; and is feat¬ ed at the confluence of the rivers Arheck and Gaffi, in E. Long. o. 20. N. Lat. 49. 11. LISLE; a large, rich, handfome, and ftrong town of French Flanders, of which it is the capital, with a ftrong caftle, and a citadel built by Vauban, and faid Vot.X. Parti. to be the fineft in Europe, as well as the beft fortified. The large fquare, and the public buildings, are very handfome ; and they have manufaftures of filks, cam¬ brics, and camblets, as well as other ftuffs, which have been brought to great perfection. It was ta¬ ken by the duke of Marlborough, after three months fiege and the lofs of many thoufands of men, in 1708; but reftored to the French by the treaty of Utrecht, in confideratiOn of their demolifhing the fortifications of Dunkirk. It is feated on the river Duele, 14 miles weft of Tournay, 32 fouth-weft of Ghent, 37 north* weft of Mons, and 130 north of Paris, E. Long. 3. 9* N. Lat. 50. 38. LISLE (Claudius de), a learned hiftoriographer, born at Vancouleurs, in 1644. He ftudied among the Jefuits at Pontamouflbn ; took his degrees in law, and afterwards applied himfelf intirely to the ftudy of hi- ftory and geography; and to perfeft himfelf in thofo feiences went to Paris, where the principal lords of the court became his fcholars, and among the reft the duke of Orleans, afterwards regent of the kingdom. He wrote, 1. An hiftorical account of the kingdom of Siam, 2. A genealogical and hiftorical Atlas. 3. An abridgement of univerfal hiftory. He died at Paris in 1720. Lisle (William de), fon of the former, and the moft learned geographer France has produced, was born at Paris in 1675. He became firft geographer to the king, royal cenfor, and member of the academy of feiences. He died in 1726. He publifhed a great number of excellent maps, and wrote many pieces in the memoirs of the academy of feiences. Lisle (Sir John), a brave loyalift in the time of the civil wars, was the fon of a bookfeller in London, and received his education in the Netherlands. Hd fignalized himfelf upon many occafions in the civil war, particularly in the laft battle of Newbury ; where, in the dufk of the evening, he led his men to the charge in his fliirt, that his perfon might be more confpicuous* The king, who was an eye-witnefs of his bravery, knighted him in the field of battle. In 1648, he rofe for his majefty in Eflcx ; and was one of the royalifts who fo obftinately defended Colchefter, and who died for the defence of it. This brave man having ten¬ derly embraced the corps of Sir Charles Lucas, his departed friend, immediately prefented himfelf to the foldiers who flood ready for his execution. Thinking that they flood at too great a diftance, he defired them to come nearer : one of them faid, “ I warrant you. Sir, We fhall hit you.” He replied with a fmile, “ Friends, Ihave been nearer you when you have miffed me.” He was executed Auguft 28th 1648. LISMORE, one of the Weftern iflands of Scot¬ land, feated at the mouth of Loch Linnhe, a capaci¬ ous lake in Argylefhire, navigable for the largeft fhips to Fort William, which ftands in the country called Lochaber. This ifland is above feven miles in length by one in breadth ; and contains 1500 inhabitants. It abounds in limeftone; from which, however, it has hi¬ therto derived little advantage, owing to the want of good peat, the negledt of timber, and Hill more thd duty upon coals. Thus, with the advantages of navi¬ gation in every direftion, ahd of a foil lying upon the richeft manure, the people are indigent, and frequently obliged to import meal for their fubfiftertce. Many of N them LIS [ 98 1 LIS Lifmore' them live a part of the year upon milk only. This ““V—ifland was formerly the refidence of the biihops of Argyle. Lismore, a borough, market, fair, and poft town of Ireland, in the county of Waterford, and province of Munfter, 100 miles from Dublin ; N. Lat. 52. 5. W. Long. 7. 50. It was anciently called Ltjfmore or Lias-more, i. e. the great inclofure, or habitation ; it is now a biihopric, and formerly had an univerfity. St Carthagh or Mochuda, in the beginning of the feventh century founded an abbey and fchool in this place, which in a fhoft time was much reforted to, not only by the natives, but alfo by the Britons and Saxons, during the middle ages. According to an ancient writer of the life of St Carthagh, Lifmore was in ge¬ neral inhabited by monks, half of it being an afylum into which no woman dared enter confiding intirely of cells and monaderies, the ruins of which, with feven churches, are yet vifible. A cadle was built here by king John. The fite of Lifmore was in early ages denominated magh Jkia, or the “ chofen Afield,” being the fituation of a dim or f6rt, of the ancient chieftains of the Decies, one of whom granted it to St Carthagh on his expulfion from the abbey of Ratheny in Wed- meath. On becoming an univerfity, Math Sgiath ob¬ tained the name of Dunfginne, or the “ fort of the Saxons,” from the number of Saxons which reforted thereto : but ibon after, it was called Lios-mor or Lefs- more, and now Lifmore; the bifiiopric of which was united to that of Waterford in 1363, being 730 years . after its foundation. The public road to Cork was formerly through this place, and at that time it had a better face of bufinefs. St Carthagh, who retired to this plate with fome of his religious in 636, to avoid the fury of the then IriAi monarch, tied his difciples to a mod drift rule of life ; they never were allowed the ufe of fiefii, fifii, or fowl; only the vegetables that the ground produced mained in ruins fince the era of the rebellion ; but the 'r" feveral offises that make up two fides of the fquare are kept in repair. At. each angle is a tower, the chief re¬ mains of its former magnificence. In Oftober 1785,. the late duke of Rutland, then lord-lieutenant of Ire¬ land, whild on a tour in Munder, held a council in, and iffued proclamations from this cadle. The cathe¬ dral is dill pretty well kept in repair. Here is a fine bridge over the river Blackwater, erefted at a very great expence by the duke of Devonfifire : this bridge is* re¬ markable for the extent of the principal arch, the fpan of it being 102 feet. Below the town is a rich fifiiery for falmon, which is the greated branch of trade here. Though this place is at prefent much reduced, yet Cambrenfis informs us, that, not many years after the conqued, this was a very rich city, and held out fome time againd the Englifh, who took it at lad by dorm, and gained rich plunder here, enough to load 16 fail of (hips. It returns two members to parliament; pa¬ tron, the duke of Devonfhire, but the eleftors are call- potwollopers. Fairs held on 25th May and Sep¬ tember, and 12th November. LISSA, an ifland in, the Gulph of Venice, on the coad of Dalmatia, belonging to the Venetians, where they have a fifliery of fardines and anchovies. It pro¬ duces excellent wine, and is 70 miles wed of Ragufa. E. Long. 17. o. N. Lat. 43. 22. Lissa, a town of Poland, in the palatinate of Pof- na, of which it is the capital. E. Long. 16. o. N. Lat. 32. 15. Lissa, a village of Silefia, 16 miles from Breflau, remarkable for a battle fought between the Pruffians and the Audrians on the 15th of December 1757, when the latter were entirely defeated. LISSUS, (anc. geog.), the lad town of Illyricum, towards Macedonia, -fituated on the Drilo. It had a capacious port, the work of Dionyfius the Tyrant, who led the colony thither, enlarged and walled it round, (Diodorus Siculus.) Now called Alejfto, in Al¬ bania, on the Drino, near the Gulph of Venice. E. Long. 20. N. Lat. 42. LIST, in commerce, the border of cloth or duff; ferving not only to Ihow their quality, but to preferve them from being torn in the operations of fulling, dye¬ ing, &c.—Lid is ufed on various occafions; but chiefly by gardeners for fecuring their wall-trees. List, in architefture, a little fquare moulding, otherwife called afillet, lifiel, &c. See Plate XXXVIII. fig. 1. List, is alfo ufed, to fignify the inclofed field or ground wherein the ancient knights held their juds and combats. It was fo called, as being hemmed round with pales, barriers, or dakes, as with a lid. Some of thefe were double, one for each cavalier; which kept them apart, fo that they could not come nearer each other than a fpear’s length. See Just, Tour¬ nament, Duel, &c. Civil List, in the Britifh polity. The expences defrayed by the civil lid are thofe that in any fliape re¬ late to civil government; as, the expences of the houfe- hold; all falaries to officers of date, to the judges, and every one of the king’s fervants} the appointments^ to foreign I LIS [99 'Lift. foreign ambaffadors; the maintenance of the queen and royal family i the king’s private expences, or privy- purfe ; and other very numerous outgoings, as fecret- fervice money, penlions, and other bounties : which fometimes have fo far exceeded the revenues appointed for that purpofe, that application has been made to parliament to difcharge the debts contracted on the ci¬ vil lift ; as particularly in 1724, when one million was granted for that purpofe by the ftatute x 1 Geo. I. c. 17. and in 1769, when half a million was appropriated to the like ufes by the ftatute 9 Geo. III. c. 34. The civil lift is indeed properly the whole of the Blacljl. king’s revenue in his own diftindt capacity ; the reft iimment. being rather the revenue of the public, or its creditors, though collected and diftributed again in the name and by the officers of the crown : it now Handing- in the fame place, as the hereditary income did formerly; and as that has gradually diminiffied, the parliamen¬ tary appointments have increafed. The whole revenue of queen Elizabeth did not amount to more than 6oo,ocJol. a-year : that of king Char. I. was 800,0001. and the revenue voted for king Charles II. was i,20o,oool. though complaints were made (in the firft years at leaft) that it did not amount to fo much. But it muft be obferved, that under tbefe fums were inclu¬ ded all manner of public expences; among which Lord \ Clarendon, in his fpeech to the parliament, computed, that the charge of the navy and land-forces amounted annually to 8oo,ocol. which was ten times more than before the former troubles. The fame revenue, fubjeit to the fame charges, was fettled on king James II.: but by the increafe of trade, and more frugal manage¬ ment, it amounted on an average to 1,500,000!./er annum, ibefides other additional cuftoms granted by parliament, which produced an annual revenue of 400,000!. out of which his fleet and army were main¬ tained at the yearly expence of 1,100,cool. After the revolution, when the parliament took into its own hands the annual fupport of the forces both maritime and military, a civil-lift revenue was fettled on the new king and queen, amounting, with the hereditary du¬ ties, to 700,000 1. per annum ; and the fame was con¬ tinued to queen Anne and king George I. That of king Geo. II. was nominally augmented to 800,000 *1. and in fa ft was confiderably more : but that of his See J?1'- prefent majefty is exprefsly limited to that fum ; tho’ 100,0001. hath been fince added. And upon the whole, it is doubtlefs much better for the crown, and alfo for the people, to have the revenue fettled upon the mo- • dern footing rather than the ancient. For the crown, becaufe it is more certain., and collefted with greater cafe : for the people ; becaufe they are now delivered from the feodal hardfhips, and other odious branches of the prerogative. And though complaints have fome¬ times been made of the increafe of the civil lift, yet if we confider the fums that have been formerly granted, the limited extent under which it is now eftablifhed, the revenues and prerogatives given up in lieu of it by the crown, the numerous branches of the prefent royal family, and (above all) the diminution of the value of money compared with what it was worth in the laft century, we muft acknowledge thefe complaints to be void-of any rational foundation ; and that it is impof- fible to fupport that dignity, which a king of Great Britain Ihould maintain, with an income in any degree ] LIT lefs than what is now eftabliffied by parliament. See Lift Revenue. . .11 To List, or enli/l, Soldiers, to retain and enroll men Liur'y as foldiers, either as volunteers, or by a kind of compul- fion. Perfons lifted muft be carried within four days, but not fooner than 24hours after, before the next juftice of peace of any county, riding, city, or place, or chief magiftrate of any city or town corporate (not being an officer in the army); and if before fuch juftice or magiftrate they diffent from fuch enlifting, and return the enlifting-money, and alfo 20 fhillings in lieu of all charges expended on them, they are to be difchar- ged. But perfons refufing or neglefting to return and pay fuch money within 24 hours, ffiall be deemed as duly lifted as if they had affented thereto before the proper magiftrate ; and they (hall, in that cafe, be obliged to take the cath, or, upon refufal, they (hall be confined by the officer who lifted them till they do take it. LISTER (Dr Martin), an eminent Engliih phy- fician and naturalift, was born in 1638, and educated at Cambridge. He afterwards travelled into France j and at his return praftifed phyfic at York, and after¬ wards at London. In 1683, he was created doftor of phyfic, and became fellow of the college of phyficians in London. In 1698, he attended the earl of Port¬ land in his embaffy from king William III. to the court of France; of which journey he publiffied an ac¬ count at his return, and was afterwards phyfician to queen Anne. He alfo publifhed, 1. Hijloria. anima- Uum Anglia, quarto. 2. Conchyliorum fynopjis, folio. 3. Cochlearum & Umachum exercitatio anatomica, 4 vols 8vo. 4. Many pieces in the Philofophical Tranfac- tions ; and other works. LISTOWEL, a pariffi, alfo a poft and fair town, of Ireland, in the county of Kerry and province of Munfter, 131. miles from Dublin, anciently Lis Tua- that, i. e. “ the fort of Tuathal,” who w as exiled in the 1 ft century, but returned; and his life forms a brilliant era in Irifli hiftory. Near this are the ruins of a caftle, pleafantly lituated on the river Feale: it was taken in November 1600, by Sir Charles Wilmot, being then held out for the Lord Kerry againft Queen Elizabeth. Five miles beyond Liftowel are the ruins of a church. The fairs are three in the year. LITANA Silva (anc. geog.); a wood of the Boii, in the Gallia Togata, or Cifpadana, where tha» Romans, under L. Pofthumius Albinus (whofe head the Boii cut off, and carried in triumph into their mod; facred temple), had a great defeat, of twenty-five thoufand fcarce ten efcaping (Livy). Holftenius cop- jeftures, that this happened above the fprings of the Scultenna, in a part of the Apennine, between Cer- finianum and Mutina. Now Selva di Lugo. ' LITANY, a folemn form of fupplication to God, in which the prieft utters feme things fit to be prayed for, and the people join in their interceffion, faying, •we befeech thee to bear us, good Lord, &c. The word comes from the Greek x<7«»£ia, “ fupplication;” of \i1avwo, “ I befeech.” At firft the ufe of litanies was not fixed to any da¬ ted time, but were only employed as exigencies re¬ quired. They were obferved, in imitation of the Ni- nevites, with ardent fupplications and fadings, to avert the threatening judgments of fire, earthquakes, inun- N 2 dations, . •' I LIT [ ioo ] LIT J.itchfield. dations, or hoftile invafions. About the year 400, li- tanies began to be ufed in proceffions, the people walk¬ ing barefoot, and repeating them with great devotion; and it is pretended, that by this means feveral coun¬ tries were delivered from great calamities. The days on which thefe were ufed were called rogation days: thefe were appointed by the canons of different coun¬ cils, till it was decreed by the council of Toledo, that they ffiould be ufed every month throughout the year; and thus by degrees they came to be ufed weekly on Wednefdays and Fridays, the ancient ftationary days for faffing. To thefe days the rubric of our church has added Sundays, as being the greateft days for af- fembling at divine fervice. Before the laft review of the common prayer, the litany was a diftinft fervice by itfelf, and ufed fame time after the morning prayer was over ; at prefent it is made one office with the morning-fervice, being ordered to be read after the third collett for grace, inftead of the interceffional prayers in the daily fervice. LITCHFIELD, a city of Staffordflure, in Eng- • land, 117 miles from London. It ftands low, about three miles from the Trent; and its ancient name is faid to have been Licidjield, fignifying, “ a field of carcaffes,” from a great number of Chriftians having, as it is pretended, fuffered martyrdom here in the per- fecution under Dioclefian. In the Saxons time, it was a bifhoprick for a ffiort fpace ; and is now, toge¬ ther with Coventry, a biffioprick. It is divided into two parts by a rivulet and a kind of (hallow lake, over which are two caufeways with fluices. It is a long ftraggling place ; but has fome very handfome houfes, and well-paved clean ftreets. That part on the fouth fide of the rivulet is called the city, and the other the clofe. The city is much the largeft, and contains feve¬ ral public ftru&ures. It was incorporated by Edw. VI. with the name of bailiffs and burgeffes ; and is both a town and county, governed by 2 bailiffs chofen yearly out of 24 burgeffes, a recorder, a (heriff, a ffeward, and ether officers. The city has power of life and death within their jurifduffion, a court of record, and a pie¬ powder-court. Here is a gaol both for debtors and felons, a free fchool, and a pretty large well endowed hofpital for a mafter and 12 brethren. The county of the city is 10 ot 12 miles in compafs, which the Iheriff rides yearly on the 8th of September, and then ffiafts the corporation and neighbouring gentry. The clofe is fo called from its being inclofed with a wall and a deep dry ditch on all fides except towards the city, where it is defended by a great lake or marffi formed by its brook. The cathedral, which Hands in the clofe, was originally built by Ofwius king of Nor¬ thumberland about 300. It was rebuilt and enlarged by Offa king of Mercia in 766. In 1148 was rebuilt, and greatly enlarged in 1296. At the reformation, Coventry was divided from it. In the civil wars its fpire was deftroyed, and it converted to a ftable. In 1776 a beautiful painted window, by the benefa&ion. of Dr Adenbrook, has been fet up at the weftern end of the cathedral. In the civil wars it was feveral times taken and retaken, and thereby fuffered much ; but was fo repaired after the. reftoration, at the expence of 20,000 1. that it was one of the faireft. and nobleft ftructures of the kind in England. It is walled in like a caftle, and Hands fo high as to be feen 10 miles round. It is 450 feet long, of which the choir is no, and the Litchfield t breadth in the broadeft place 80. Its portico is hard- . II . ■ ly to be paralleled in England. There were till lately ^'terati*.' 26 ftatues of the prophets, apoftles, kings of Judah, 1 and fome kings of this land, in a row above it, as big as the life ; and on the top, at each corner of the por¬ tico, is a (lately fpire, befides a fine high fteeple on the middle of the church. The choir' is paved in great part with alabafter and channel-coal, in imitation of black and white marble. In 1789 it went under a general repair, when the maffive groined arch betwixt the weft end of the church and the tranfcript, which had forced the fide wall out of its perpendicular, was removed. The prebendaries ftalls, which are thought to be the bed in England, were mod of them rc-erecl- ed at the charge of the country gentlemen, whofe names and arms are painted at the top of the ftalls. The north door is extremely rich in fculpture, but much injured by time. The body, which is fupported by pillars formed of numbers of flender columns, has lately had its decayed leaden roof replaced by a neat dated covering. The choir merits attention on ac¬ count of the elegant fculpture about the windows, and the embattled gallery that runs beneath them ; to which the altar-piece of Grecian architecture but ill correfponds ; behind which is Mary’s chapel, divided • | from it by a moft elegant (lone fkreen of beautiful work- manfhip. Here flood St Chad’s (hrine, which coft 2000 1. The charter-houfe is an o£lagon-room. In the fame clofe are the palaces of the bilhop and dean,, and the prebendaries houfes in a court on the hill. Here are three other churches; one of which, St Mi¬ chael's, has a church-yard of 6 or 7 acres. There was a caftle here, long fince deftroyed: and ancient camps have been difcovered in its environs. In the neigh--. bourhood are frequent horfe-races. The markets there are on Tuefday and Friday, and fix fairs in the year.. By the late inland navigation, this place has commu¬ nication with the fivers Merfey, Dee, Ribble, Oufe, Trent, Darwent, Severn, Humber, Thames, Avon,. &c. which navigation, including its windings, extends above 500 miles in the counties of Lincoln, Notting-- ham, York, Lancafter, Weftmoreland, Chefter, War¬ wick, Leicefter, Oxford, Worcefter, &c. Litchfield, fends two members to parliament. LITERARY, any thing belonging to Litera¬ ture. Literary Property, or Copy-Right. See Corr-Right.. LITERATI {letrados, “ lettered”), an epithet gi¬ ven to fuch perfons among the Chinefe as are able to read and write their language^ The literati alone are capable of being made mandarins. Literati is alfo the name of a particular fe6l,. either in religion, philofophy, or politics, confiding principally of the learned men of that country; among whom it is called Jznh’ao, i. e. “ learned^’ It had its rife in the year of Chrill 14QO, when the emperor, to awaken the native affe6lion of the people for knowledge, which had been quite banifhed by the preceding civil wars among them, and to ftir up emu¬ lation among the mandarins, chofe out 42 of the ablell among their doctors, to whom he gave a commiffion to. compofe a body of doftrine agreeable to that of the ancients, which was then become the rule or ilandard of the learned. The delegates applied themfelves to LIT [ ioi ] LIT the bufmefs with very great attention ; but fome fan¬ cied them rather to have wrefted the do&rine of the ancients, to make it confift with theirs, than to have built up theirs on the model of the ancients. They fpeak of the Deity, as if it were no more than mere nature or the natural power or virtue that pro¬ duces, difpofes, and preferves, the feveral parts of the univerfe. It is, fay they, a pure, perfect principle, without beginning or end; it is the fource of all things, the effence of every being, and that which determines it to be what it is. They make God the foul of the world : they fay, he is diffufed through all matter, and produces all the changes that happen there. In fhort, it is not eafy to determine, whether they refolve God into nature, or lift up nature into God; for they afcribe to it many of thofe things wliich we at¬ tribute to God. This doftrine, in lieu of the idolatry that prevailed before, introduced a refined kind of atheifm. The work, being compofed by fo many perfons of learning and parts, and approved by the emperor himfelf, was received with infinite applaufe by all the people. Many were pleafed with it, becaufe it feemed to fubvert all religion ; others approved it, becaufe the little religion that it left them could not give them much trouble. And thus was formed the feft of the Literati; which confifts of the maintainers and adherents to this doc¬ trine. The Court, the mandarins^ and the perfons of, for¬ tune and quality, &c. are generally retainers- to it; but a great part of the common people ftill hold to their worlhip of idols. Ths literati freely tolerate the Mahometans, becaufe they adore, with them, the king of heaven, and author of nature ; but they bear a perfect averfion to all forts of idolaters among them : and it was once refolved to extirpate them. But the diforder this would have oc- cafioned in the empire prevented it: they now content themfelves with condemning them, in general, as he- refies ; which they do folemnly every year at Pekin. LITERATURE denotes learning or Ikill in let¬ ters. LITERNUM. See Linternum. LITHANTHRAX, or Pir-Coal, is a black or brown, laminated, bituminous fubftance ; not very ea- fily inflammable, but, when once inflamed, burns long¬ er and more intenfely than any other fubftance. Of this fubftance three kinds are diftinguilhed by authors. The refiduum of the firft after combuftion is black.; the refiduum of the fecond is fpongy, and like pumice- ftone ; and the refiduum of the third is whitilh alhes. Some foffil coal, by long expofure to air, falls into a greyifti powder, from which alum may be extracted- Foffil coal by diftillation yields, i. a phlegm or water ; 2. a very acid liquor; 3. a thin oil like naphtha; 4. a thicker oil, refembling petroleum, which falls to the bottom of the former, and which rifes with a violent fire; 5. an acid concrete fait; 6. an uninflammable earth remains in the retort. Thefe conftituent parts of foffil-coal are very fimilar to thofe of amber and other bitumens. For the exciting of intenfe heats, as of furnaces for fmelting iromore, and for operations where the acid and oily vapours would be detrimental, as the drying of malt, foffil-coals are previoufly char¬ red* or reduced to. coair; that is, they are made to undergo an operation fimilar to that by which char¬ coal is made. By this operation coals are deprived of their phlegm, their acid liquor, and the greateft part of their fluid oil. Coaks therefore confift of the two moft fixed conftituent parts, the heavy oil and the earth, together with the acid concrete fait, which tho* volatile is detained by the oil and earth. LITHARGE, a preparation of lead, ufually in form of foft flakes, of a yellowifh reddilh colour. If calcined lead be urged with a hafty fire, it melts into the appearance of oil, and on cooling concretes into litharge. Greateft part of the litharge met with in the fhops is produced in the purification of filver from lead, and the refining of gold and filver by means of this metal: according to the degree of fire and other cir- cumftances, it proves of a pale or deep colour; the firft has been commonly called litharge of Jilver, the other litharge of gold. See Chemisty-A^x. LITHGOW (William), a Scotfman, whofe fuffe- rings by imprifonment and torture at Malaga, and whofe travels, on foot, over Europe, Alia, and Afri¬ ca, feem to raife him almoft to the rank of a martyr and a hero, publiflied an account of his peregrinations and adventures. Though the author deals much in the marvellous, the horrid account of the ftrange cruel¬ ties of which, he tells us, he was the- fubjeft, have, however, an air of truth. Soon after his arrival in England from Malaga, he was carried to Theobald’s on a feather-bed, that King James might be an eye- witnefs of his martyred anatomy, by which he means his wretched body, mangled and reduced to a Ikeleton. The whole court crowded to fee him ; and his majefty ordered him to be taken care of, and he was twice fent to Bath at his expence. By the king’s command, he applied to Gondamor, the Spanilh ambaffador, for the recovery of the, money and other things of value which the governor of Malaga had taken, from him, and for L. 1000 for his fupport. He was promi- fed a full reparation for the damage he had fuftained; but the perfidious minifter never performed his promife.. When he was upon the point of leaving England,. Lithgow upbraided him with the breach of his word' in the prefence-chamber, before feveral gentlemen of the court. This occafioned their fighting upon the fpot; and the ambafiador, as the traveller oddly ex- prefies it, had his fiftula- (with which diforder he was afflicted) contrabanded with his fill. The unfortunate Lithgow, who was generally condemned for his fpi- rited behaviour, was fent to the Marihalfea, where he continued a prifoner nine months. At the conclufion of the octavo edition of his Travels he informs us,, that, in his three voyages, “ his painful feet have tra¬ ced over (befides paffages of feas and rivers) 36,000 and odd miles,; which draweth near to twice the cir¬ cumference of the whole earth.” Here the marvellous feems to rife to the incredible; and to fet him, in point of veracity, below Coryat, whom.it is neverthe- lefs certain that he far outwalked. His defcription of Ireland is whimfical and curious. This, together with the narrative of his fufferings, is reprinted in Mor¬ gan’s Phoenix Britannicus. LITHIASIS, or Stone. See Medicine-/«<2!?x.. LITHOMANTIA, in antiquity, a fpecies of di¬ vination performed with ftones. Sometimes the ftone called fderitss.wzs ufed ; this they waffled in fpring- Litharge. n i Litho- mantia. LIT [ 102 ] LIT ..JJth'w water in the night by candle-light; the perfon that tripticus confulted it was to be purified from all manner of pol- Lhhoflr ^ut^on, an(^ to ^ave ^ace covere(i : this done, he ton. r0" rePeated divine prayers, and placed certain, characters in an appointed order ; and then the ftone moved of itfelf, and in a foft gentle murmur, or (as fome fay) in a voice like that of a child, returned an anfwer. By a Hone of this nature, Helena is reported to have fore- tola the deftruftion ofTroy. LITHONTRIPTICUS (from « a ftone,” and “ to break”); an epithet for medicines that are fuppofed to break the 'ftone in the bladder. Though the different ftones that are generated in the human bladder require different fblvents when out of the bo¬ dy ; and though art hath not yet afforded a medicine which, when injected into the bladder, will, without injury thereto, diffolve the 'ftone therein lodged ; it cannot thence be concluded, that there are no lithon- triptic medicines. It may be here obferved, that one folvent aftefts one fubjeft, but hath no effeCt on ano¬ ther ; fo a folvent may yet be met with that will de- ftroy the ftone, and not hurt the human body. The water into which the boiled white of egg diffolves will liquefy myrrh, but may be put into the human eye without caufmg any uneafinefs. Soap ley taken at firft in fmall dofes in broth that is freed from all its fat, fucceeds in moil cafes which require an alkaline folvent. The patient may begin with 20 drops, and gradually increafe the dofe as he is able ; and by repeating it three times a-day for fix, eight, or twelve months, the wifhed for effects often follow. LITHOPHYTA, the name of Linnseus’s third erder of vermes. See iZooLoev. LITHOSPERMUM, gromwell : A genus of the monogynia order, belongingto the pentandria clafs of plants; and in the natural method ranking under the 41ft order, Afperifol'ia. The corolla is funnel- fiiaped, with the throat perforated and naked; the ca* lyx quinquepartite. There are feveral fpecles ; but the only remarkable ones are the officinale or common gromwell, and the arvenfe or baftard alkanet. Both thefe are natives of Britain ; the former growing in dry gravelly foil, the latter in corn-fields. The feeds of the firft are reputed to be of fervice in calculous cafes. Dr Grew fays, that they have fo much earth in their compofition, that they effervefce with acids; but if this is the cafe, it muftbe attributed rather to an alkaline than an earthy quality. LITHOSTROTION, in natural hiftory, the name of a fpecies of foffil coral, - compofed of a great num¬ ber of long and flender columns, fometimes round, fometimes angular, jointed nicely to one another, and of a Harry or radiated furface at their tops. Thefe are found in confiderable quantities in the northern and vveftern parts of this kingdom, fometimes In fingle, fometimes in complex fpecimens. See Plate CC. LITHOSTROTON, among the Romans, was a pavement of Mofaic wmrk, confifting of fmall pieces of cut marble of different kinds and colours. The li- tbojlrota began to be ufed in the time of Sylla, who made one at Praenefte in the temple of Fortune. At laft they were ufed in private houfes; and w’ere brought to fuch perfection, that they exhibited moft lively re- prefentations of nature, with all the exa&nefs of the fineft painting. LITHOTOMY, in forgery, the operation of cut¬ ting for the ftone. See Surgery. LITHUANIA, an extenfive province of Poland. By the natives it is called Letwa, and has Great Po¬ land and Ruflia on the weft ; part of Mufcovy on the call; Livonia, the Baltic Sea, and part of Mufcovy# «n the north ; Red Ruflia, Volhfnia, and Padolia, on the fouth; and the Ukraine on the fouth-eaft. Its length is faid to be about 360, and its breadth 340 miles; but it is much indented both ways. Lithuania was anciently over-run with wood ; and there are Hill many forefts in it, which yield a great deal of honey, wax, pitch, tar, and timber ; and abound with wild boars, buffaloes, elks, wild horfes, wild afl’es, uri, and woodcocks. The lakes are alfo numerous, and well- ftpred wuth fifh : but the air-, by reafon of thefe forefte and lakes, is faid to be thick and foggy. The country produces a great deal of buck-wheat and other corn, the paftures are luxuriant, find'the flocks and herds nu¬ merous : fo that, notwithftanding agriculture is much negleCled, provifions are exceeding cheap, but money fo fcarce, that 10per cent, rsthe common intereft. The principal nobility have large eftates, and live in great pomp and fplendor, generally retaining fome hundreds of thofe that are poor, in quality of domeftics. The ellablilhed religion is Popery; but Lutherans, Calvi- nifts, Jews, Turks, Greeks, and Socinians, are very numerous. Lithuania was governed by its own dukes till it was united to Poland, towards the end of the 14th century, when the great Duke Jagello married Hedwig, die dowager of Louis king of Poland and Hungary. It had even dukes after that, but they were fubordinate to the king; and at this day, tho’ one diet ferves for both countries, yet each has its peculiar laws, cuftoms, dialeft, and privileges. In a diet held at Lublin in 1569, it was more clofely uni¬ ted to Poland than it had been before; and it was en¬ abled, that both countries', for the future, Ihould form but one ftate under the fame prince. As to their courts of jufticC, the tenth part of what is adjudged in all real actions goes always to the judge’s box, and is immediately paid in court; and in perfonal aftions. he claims half the damages given. A nobleman is only fined for murder, as in Poland. The common peo¬ ple here, excepting the burghers in the royal towns, and the Germans, are flaves; and, in many places, the ignorant vulgar ftill retain fome remains of idola¬ try. The poor people have only Mondays to them- felves-; and if their lords have occafion for them even on that day, the peafant muff: work for himfelf on Sunday. If any of them is condemned to death by his lord, he mull execute himfelf, or fuffer greater cruelty. The dialedl is a language of the Sclavonic ; and they fpeak here, as in Poland, a barbarous kind of Latin. Lithuania is divided into nine palatinates. Another divifion is into Lithuania properly fo call¬ ed, and Lithuanian Ruffia. Some alfo comprehend under it Samogitia and Courland', which is a fief ot Poland. LITMUS, or Lacmus, in the arts, is a blue pig¬ ment, formed from archil. It is brought from Hol¬ land at a cheap rate ; but may be prepared by adding lath's tomy LIT L 103 1 LIT Litter quick lime and putrified urine, or fpirit of urine diftil- II led from lime, to. the archil previoully bruifed by grind- Littlcton. -n^ rfhe mixture having cooled, and the fluid fuffer- y ’ ed to evaporate, becomes a mafs of the confiilence of a pafte, which is laid on boards to dry in fquare lumps. It is only ufed in miniature paintings, and cannot be well depended on, becaufe the leaft approach of acid changes it inftantly from blue to red. The beft litmus,is very apt' to change and fly. LITTER (leaica), a kind of vehicle borne upon fhafts ; anciently efteem'ed the moft eafy and genteel way of carriage. Du-Cange derives the word from the ■= barbarous Latin htteria “ ftraw or bedding for beafts.” Other will rather have it come from letlus “ bed;” there being ordinarily a quilt and a pillow to a litter in the fame manner as to a bed. ' Pliny calls the litter the traveller's chamber : it was much in ufe among the Romans,, among whom it was borne by flaves kept for that purpofe ; as it ftill conti¬ nues to be in theeaft, where it is calleda palanquin.—The Roman leftica, made to be borne by four men, was called tetraphorum; that borne by fixand that borne by eight oftapborum. The invention of litters, according to Cicero, was owing to the kings of Bithynia : in the time of Tiberius they were become very frequent at Rome, as appears from Seneca ; and even flaves themfelves Were borne in them, though never by more than two perfons, where¬ as men of quality had fix or eight. Litter alfo denotes a parcel of dry old ftraw put on the floor of a horfe’s ftall for him to lie down and reft upon. When a horfe comes tired into a liable, frefh litter has the virtue of making him ftale immediately. This is known to be a very great advantage to a horfe in a tired ftate ; and when the litter is old and dirty, it never has any fuch effeft upon him. If the owners knew how refrefhing it is for a horfe to difeharge his urine on his return from labour, they would be more care¬ ful of giving them all means and occafions of it than they are. This ftaling after fatigue prevents thofe ob- ftruftions in the neck of the bladder or urinary paf- fages which horfes are too fubjefl to. The bladder be¬ ing often inflamed by the long retention of the heated urine in it, the creature is thus in danger of perilhing. LITTLE (William), an ancient Englifti hiftoriah, known alfo by the name of Gvllelmus Neubrigenfts, was born at Bridlington in the county of York, in the year 1136; and educated in the abbey of Newborough in the fame county, where he became a monk. In his advanced years, he compofed a hiftory of England, in five books, from the Norman conqueft to A. D. 1197; which, for veracity, regularity of difpofition, and purity of language, is one of the moft valuable productions of this period. LITTLETON (Sir Thomas), judge of the com¬ mon-pleas, was the eldeft fon of Thomas Weftcote, efq; of the county of Devon, by Elizabeth, foie heirefs of Thomas Littleton of Frankley in Wor- cefterfnire, at whofe requeft he took the name and arms of that family. He was educated at one of our univerfities, probably at Cambridge. Thence he re¬ moved to the Inner Temple, where he became one of the readers ; and was afterwards, by Henry VI. made fteward or judge of the court of the palace, or mar* (halfea of the king’s houfehold. In 1455, t^e thirty. 6 third of that reign, he was appointed king’s ferjeant, Linleton, and rode the northern circuit as judge of affize. In liturgy, ^ 1462, the fecond of Edward IV. he obtained a par- ^ don from the crown; and, in 1466, was appointed, one of the judges of the common-pleas, and rode the Northamptonftare circuit. In the year 1474 he was, with many of the firft nobility, created knight of the Bath. He died in 1481 ; and was buried in the ca¬ thedral church of Worcefter, where a marble tomb, -y. . with his ftatue upon it, was ere died to his memo¬ ry. As to his character as a lawyer, it is fuflicient to inform the reader, that he was the author of the Treatife up On Tenures, on which Sir Edward Coke wrote a comment, well known by the title of Coke upon Littleton. Littleton (Adam), defeended from an ancient family in Shroplhire, was born in 1627, educated at Weftminfter-fchool, and went to Oxford a ftudent of Chrift-church, whence he was ejedted by the parlia¬ ment vifitors in 1648. Soon after, he became ulhcr of Weftminfter-fchool, and in 1658 was made fecond mafter of Weftminfter-fchool. After the reiteration he taught a fchool at Chelfea in Middlefex, of which church he was admitted redtor in the year 1664. In 1670 he accumulated the degrees in divinity, being then chaplain in ordinary to his majefty. In 1674, he became prebendary of Weftminfter, of which church he was afterwards fub-dean. Befide the well-known Latin and Englifh Didtionary, he publilhed feveral other works. He died in 1694, and was interred at Chelfea. He was an univerfal fcholar; and ex¬ tremely charitable, humane, and eafy of accefs. LITURGY, denotes all the ceremonies in general belonging to divine fervice. The word comes from the Greek Krtup-yi* “ fervice, public miniftry;” formed of « public,” and “ work.” In a more reftrained fignification, liturgy is ufed a- mong the Romanifts to fignify the mafs; and among us the comtQon-prayer. All who have written on liturgies agree, that in the primitive days divine fervice was exceedingly Ample, only clogged with a very few ceremonies, and confift- ing of but a fmall number of prayers ;. but, by degrees, they increafed the number of external ceremonies, and added new prayers, to make the oflice look more awful and venerable to the people. At length things were carried to fuch a pitch, that a regulation became ne- ceflary; and it was found proper to put the fervice, and the manner of performing it, into writing; and this was what they called a liturgy. Liturgies have been different at different times, and in different countries. We have the liturgy of St Chry- foftom, that of St Peter, of St James, the liturgy of St Bafil, the Armenian liturgy, the liturgy of the Maronites, of the Copntse, the Roman liturgy, the Gallican liturgy, the Englifti liturgy, the Ambrofian liturgy, the Spanifti and African liturgies, &c. In the more early ages of the church, every biftiop had a power to form a liturgy for his own diocefe ; and if he kept to the analogy of faith and dodtrine, all circumftances were left to his own diferetion. After¬ wards the practice was for the whole province to fol¬ low the metropolitan church, which-alfo became the ge-, neral rule of the church ; and this Lindwood acknow¬ ledges L 1 V [ 104 ] L I V Liturgy ledges to be the common law of the church ; intima- 11 ting, that the ufe of feveral fervices in the fame pro- Livadia. vince> Vvhich was the cafe in England, was not to be warranted but by long cuftom. The liturgy of the church of England was compofed in the year 1547, and ehablifhed in the fecond year of King Edward VI. flat. 2. and 3 Ed. VI. cap. x. In the fifth year of this king it was reviewed ; be- ’Caufe fome things were contained in that liturgy which ftiowed a compliance with the fuperftition of thofe times, and fome exceptions were taken againft it by fome learned men at home, and by Calvin abroad. Some alterations were made in it, which confifted in adding the general confdfion and abfolution, and the communion to begin with the ten commandments. The ufe of oil in confirmatiori and extreme undtion were left out, and alfo prayers for fouls departed, and what tended to a belief of Chrift’s real prefence in the eucha- rift. This liturgy, fo reformed, was eftabliihed by the aft of 5 and 6 Ed. VI. cap. 1. However, it was abo- lilhed by Queen Mary, who enafted, that the fervice fliould ftand as it was moll commonly ufed in the laft year of the reign of King Henry VIII. The liturgy of 5 and 6 Ed. VI. was re-eftablifhed with fome few alterations and additions, by 1 Eliz. cap. 2. Some farther alterations were introduced, in confequence of the review of the common prayer-book, by order of King James, in the firft year of his reign ; particular¬ ly in the office of private baptifm, in feveral rubricks ■and other pafiages, with the addition of five or fix new prayers and thankfgivings, and all that part of the ca- techifm which contains the doftrine of the facraments. The book of common-prayer, fo altered, remained in force from the firft year of King James to the four¬ teenth of Charles II. But the laft review of the li¬ turgy was in the year 1661, and the laft aft of unifor¬ mity enjoining the obfervance of it is 13 and 14 Car. II. cap. 4. See CoMMON-Prayer. Many applications have been fince made for a review, but hitherto with¬ out fuccefs. LITUUS, among the Romans, was the ftaff made ufe of by the augurs in quartering the heavens. It bote a great refemblance to the crofier of a bifttop, but was ffiorter. It was crooked at one end, and thickeft in the curved part, according to A. Gellius. We fre¬ quently meet with a reprefentation of it upon medals, amongft other pontifical inftruments. It was called Lituus Shiirinalis, from Quirinus, a name of Romulus, who was flailed in all the myfteries of augury. Lituus, was alfo an Inftrument of mufic in ufe in the Roman army. It was ftraight, excepting that it had a little bending at the upper end like a lituus or faced ftaff of the augurs ; and from the fimilitude it derived its name. The lituus, as an inftrument of mar¬ tial mufic, was of a middle kind, betwixt the cornu and the tuba. LIVADIA, anciently Acha'ia and Hellas, or Greece properly fo called; a province of Turky in Europe, bounded on the north by Epirus and Theffaly, from which is is feparated by mount Oeta, now Banina, and by the Euripus, now the ftrait of Negropont; on the eaft, by the Archipelago ; on the fouth, by the gulf of Engia or Egina, the ifthmus of Corinth, and the N0 183. gulf of Lepanto ; and on the weft, by the Ionian fea Livadia and part of Epirus. Its extent is about 130 miles fl - from north-weft to fouth-eaft ; but its greateft breadth Liver, is not above 36 miles. I-t is in general 3 mountainous v-"* country ; but neither unpleafant nor unfruitful. The principal mountains are, mount Oeta in Bceotia, where is the famous pafs of Thermopylae, not above 25 feet broad; and Parnaflus, Helicon,andCythasron in Phocis, which were facred to Apollo and the mufes, and con- fequently much celebrated by the poets. The rivers of moft note are, the Sionapro, anciently the Achelous, the Cephiffus, the Ifmenus, and the Afopus. The province is at prefent divided into Livadia proper, Stramulippa, and the duchy of Athens. The prin¬ cipal places are, Lepanto, anciently Naupaftus ; Liva¬ dia, anciently Libadia or Lebadia ; the celebrated city of Athens, now Setines ; Thebes, now Stibes ; Lep- fina, anciently Eleufis ; Caftri, formerly Delphi; and Megara. Livadia, an ancient town of Turky in Europe, and capital of a province of the fame name in Greece. It is a large and populous place, feated on the gulf of Lepanto, about 25 miles from the city of that name. It has now a confiderable trade in woollen fluffs and rice. Anciently it was celebrated for the oracle of Trophonius, which was in a cavern in a hill above the town. E. Long. 23. 29. N. Lat. 38.40. LIVER, in anatomy. See there, nQ 96.—Plato, and other of the ancients, fix the principle of love in the liver; whence the Latin proverb, Coglt amarc jecur: and in this fenfe Horace frequently ufes the word, as when he fays, Si torrere jecur queens Idoneum.. —The Greeks, from its concave figure, called'it “ vaulted, fufpended;” the Latins call it jecur, q. d- juxia cor, as being “ near the heart.” The French call it foye, from foyer, fecus, “ or fire-place agreeable to the doftrine of the ancients, who believed the blood to be boiled and prepared in it.—Erafiftratus, at firft, called it parenchyma, i. e. effujion, or rruifs of blood ; and Hippocrates, by way of eminence, frequently calls it the hypochondrium. Liver of Antimony. See Chemist ry-Ao^x. Liver'of Arfenic, is a combination of white arfenic with liquid fixed vegetable alkali, or by the humid way. Arfenic has in general a ftrong difpofition to unite with alkalis. Mr Macquer, in his Memoirs upon Arfenic, mentions a Angular kind of neutral fait, which refults from the union of arfenic with the alkaline balls of nitre, when nitre is decompofed, and its acid is dif- engaged in clofe veffels, by means of arfenic. To this fait he has given the name of neutral arfenical fdlt f. f See Chef The liver of arfenic, mentioned alfo by that chemift, mi.Pry* although compofed, like the neutral arfenical fait, of***' arfenic and fixed alkali, is neverthelefs very different from that fait. The operation for making liver of arfenic is eafy and fimple. To ftrong and concentrated liquid fixed alkali, previoufly heated, fine powder of white arfenic muft be added. This arfenic eafily difappears and diffolves, and as much of it is to be added till the alkali is fatu- rated, or has loft its alkaline properties, although it is Hill capable of diffolving more arfenic fuperabundantly* While the alkali diffolves the arfenic in this operation. L I V r 105 ] I. I V It acquires a brmvnifh colour, and a fiugular and dif- agrseable fmell; which, however, is not the fmell of pure arfenic heated and volatilized. Laftly, this mix¬ ture becomes more and more thick, and at length of a gluey confidence. This matter is not cryftallizable as the neutral arfenical fait is. It is eafily decompofed by the aftion of fire, which feparates the arfenic. This does not happen to the arfenical fait. Any pure acid is capable of feparating arfenic from the li¬ ver of arfenic, in the fame manner as they feparate fulphur from liver of fulphur : whereas the neutral arfenical fait cannot be decompofed but by means of the united affinities of acids and metallic fubftances. Thus we fee that arfenic may be combined with fixed alkali in two very different manners. The author has given to this combination the name ef liver of arfenic, to diftinguifh. it from the neutral arfenical fait, and in imitation of the name of the li¬ ver of fulphur, given to the combination of the fixed alkali with fulphur. IjIver of Sulphur. See Chemistry, Index. LivER-Wort, in botany. See Mavichantia and Lichen. LivtR-Stone, (lapis hepaticus) ; a genus of inflam¬ mable fubilances, containing, befides its phlogifton, ar¬ gillaceous, ponderous, and filiceous earth, united with vitriolic acid. See Earths, §. i. n 4. Mr Bergman, in his Sciagraphia, informs us, that 100 parts of this ftone contain 33 of filiceous earth, 29 of cauftic ponderous earth, almoft 5 of argillaceous earth, and 3.7 of lime, befides the vitriolic acid and water of cryllallifation : but Mr Kirwan quotes ano¬ ther analyfis of the fame author, where it is faid that 100 parts of it contain 33 of baro-felenite, 38 of fili¬ ceous earth, 22 of alum, 7 of gypfum, and 5 of mine¬ ral oil. LIVERPOOL, a large, flouriffiing, and populous toivn of England, in the county of Lancafter, fituated at the influx of the river Merfey into the fea. This town has fo much increafed in trade fince the com¬ mencement of the prefent century, that it is now the greateft fea-port in England except London, having exce. led Briftol confiderably of late years ; which will appear by the following account of the cuftom-duties, received in the feveral ports of London, Liverpool, and Brifiol, in the year 1784, taken from the report of the commiffioners for infpeCting the ftate of public ac- London, - - L. 5,187,052 9 5 I. Liverpool, - - 640,684 2 24- Briitol, - - - 334,909 19 34. Liverpol exceeded Briftol, L. 305,774 2 11 The following fhows how much the trade has increafed fince the above period : Duties received in the port of Liverpool from July 5th 1787, to October 1 c th 1787. L. 298,361 9 io|- The merchants here trade to all parts of the world ex¬ cept Turky and the Eaff Indies; but the moft benefi¬ cial trade is to Guinea and the Weft Indies, by which many of them have acquired very large fortunes. Liverpool, during the laft war, carried on more fo- Vol. X. Part L reign trade than any town in England; and fuch is Liverpr. the ftate of it at this time, that there a^e near three '’■""v* thoufand veffels cleared from that port in one year to different parts of the world. Here are feveral manu- faftories for China-ware, and pot-houfes which make very fine ware, fotpe falt-works, glafs-houfes, and up ¬ wards of 50 breweries, from fome of which large quanti¬ ties of malt-liquor are fent abroad. Many of the build¬ ings are formed in the moft elegant manner ; but the' old ftreets are narrow ; which defect w ill foon be re¬ moved, as the corporation have lately obtained an aft of parliament for the improvement of the town, which they have already begun to put in force with great-fpi- rit, having taken down the principal ftfeets in the centre of the town, and rebuilt them in a fpacious and moft magnificent manner; fo that in a few years it will be one of the handfomeft towns in England. This town contains ten churches, namely, St Peter’s, St Nicholas’s, St George’s, St Thomas’s, St Paul’s, St Ann’s, St John’s, St James’s, St Catharine’s, and St Mary’s. There are alfo meetings for independents, anabaptifts, quakers, methodifts, and preibyterians. The exchange is a noble ftrufture, built of white ftone in the form of a fquare, and round it are piazzas where the merchants affemble to tranfaft bufinefs. Above it are the mayor’s offices, the feffions-hall, the council- chamber, and two elegant ball-rooms. The expence of erefting this building amounted to L. 30,000. The cuftom-houfe is fituated at the head of the old dock, and is a handfome and convenient ftrufture. Here are many charitable foundations, among which is an excellent grammar-fchool well endowed, and many of the youth taught in it have exhibitions in the univer- fities. The infirmary is a large edifice of brick and ftone, fituated on a hill in a very pleafant airy fituation, at one end of the town. In the town is a charity-fchool fupported by volun¬ tary fubfcriptions and contributions for 50 boys and 12 girls, who are not only clothed and educated, but alfo provided with food and lodging : like wife feveral alms houfes for the widows of feamen ; and an excel¬ lent poor-houfe, fuperior to any in the kingdom, where upwards of 800 men, women, and children, are fupported, many of whom are employed in fpinning cotton and wool. There are. five large wet docks, three dry docks, and feveral graving docks for the re¬ pairing of fliipping ; which renders it the moft com¬ modious fea-port in the world. The quays which bound thefe docks are covered with warehoufes ; which is a convenience that enables the merchant to difcharge his ffiip at a very fmall expence. The new prifon lately finifhed is a noble edifice, being built entirely on the plan of the great and benevolent Mr Howard, for folitary confinement ; and is perhaps the moft con¬ venient, airy, magnificent building of the kind in Eu¬ rope ; being upon a very extenfive fcale. Liverpool received its charter from king John : k is under the government of a recorder, mayor, and an unlimited number of aldermen, two bailiffs, and a com¬ mon-council of forty of the principal inhabitants, with a totvn-clerk and other proper officers. The town has a weekly market on Saturday, and is diftant from London 204 miles. The progreffive rife of popula- G tion L I V [ 106 ] L I V I.iverpool, t!on in Liverpool, may be conceived by perilling the poffeffion of lands, &c. to him who has a right toLiverymer| I.ivery. f0U0Wing t^ le: them. ^ t , L'v_iu,■ f LIVERYMEN of London, are a number of men v chofen from among the freemen of each company. Out of this body the common-council, IherifF, and other fuperior officers for the government of the city, are elected; and they alone have the privilege of giving their votes for members of parliament, from which the reft of the citizens are excluded. LIVIUS (Titus), the belt of the Roman hiftori- ans, as he is called by Mr Bayle, was born at Patavi- um, or Padua. Few particulars of his life have been handed down to us. Coming to Rome, he acquired • the notice and favour of Auguftus, and there he long redded. Some have fuppofed, (for there is not any proof of it), that he was known to Auguftus before. By the late inland navigation, Liverpool has com- by certain Philofophical Dialogues which he had de- munication with the rivers Dee, Ribble, Ouie, Trent, dicated to him. Seneca fays nothing of the dedication : Darwent, Severn, Humber, Thames, Avon, &c. which but mentions the dialogues, which he calls hiftorical navigation, including its windings, extends above 500 and philofophical; and alfo fame books, written pur- miles, in the counties of Lincoln, Nottingham, York, pofely on the fubjeft of philofophy. Be this as it will, Weftmoreland, Chefter, Stafford, Warwick, Leicefter, it is probable that he began his hiftory as foon as he Oxford, Worcefter, &c. The Merfey,' upon which was fettled at Rome ; and he feems to have devoted the town is fituated, abounds with falmon, cod, floun- himfelf fo entirely to the great work he had under- ders, turbot, plaife, and fmelts; and at full fea it is taken, as to be perfectly regardlefs of his own advance- above twro miles over. In the neighbourhood are fre- ment. The tumults and diffractions of Rome frequently quent horfe-races, on a five-mile courfe, the find! for obliged him to retire to Naples ; not only that he might the length in England. The foil in and near the be lefs interrupted in the purfuit of his ddlined talk, town is dry and fandy, and particularly favourable to but alfo enjoy that retirement and tranquillity which the growth of potatoes, on which the farmers often he could not have at Rome, and which yet he feems depend more than.on wheat or any other grain. Frdh to have much fought after : for he was greatly dil- water is brought into the town by pipes, from fome fatisfied with the tnanners of his age, and tells us, that fprings four miles off, purfuant to an aft of parliament “ he ffiould reap this reward of his labour, in compo- in the reign of Queen Anne. Liverpool fends two fing the Roman hiftory, that it would take his atten- members to parliament. tion from the prefent numerous evils, at leaft while he LIVERY, in matters of drefs and equipage, a was employed upon the firft and earlieft ages. ” He ufed certain colour and form of drefs, by which noblemen to read parts of this hillory, while he was compofing it, and gentlemen choofe to diftinguifh their fervants. to Mecaenas and Auguftus; and the latter conceived fo Liveries are ufually taken from fancy, or continued high an opinion of him, that he pitched upon him to fa¬ in families by fucceffion. The ancient cavaliers, at perintend the education of his grandfon Claudius, who their tournaments, diftinguifhed themfelves by wearing was afterwards emperor. After the death of Auguftus, the liveries of their miftreffes : thus people of quality Livy returned to the place of his birth, where he was make their domeftics wear their livery. received with all imaginable honour and rel'pecf t and Father Meneftrier, in his Treatife of Caroufals, has there he died, in the fourth year of the reign of Tir given a very ample account of the mixtures of colours berius, aged above feventy. Some fay, he died on in liveries. Dion tells us, that Oenomaus was^the firft the fame day with Ovid : it is certain that he died who invented green and blue colours, for the troops the fame year. which, in the circus, were to reprefent land and fea- Scarce any man was ever more honoured, alive as fights. well as dead, than this hiftorian. Pliny the younger The Romiffi church has alfo her feveral colours and relates, that a native gentleman travelled from Gades, liveries ; white, for confeffors and virgins, and in times in the extremeft parts of Spain, to fee Livy : and, of rejoicing; black, for the dead ; red, for the apoftles though Rome abounded with more ftupendous and cu- and martyrs; blue or violet, for penitents; and green, rious fpeftacles than any city in the world, yet he.im- in times of hope. mediately returned ; as if, after having feen Livy, no- Formerly, great men gave liveries to feveral, who thing farther could be worthy of his notice. A'mo- were not of their family or fervants, to engage them nument was erefted to this hiftorian in the temple of in their quarrels for that year; but this was prohibited Juno, where was afterwards founded the monaftery of by the ftatutes 1 Rich. II. 1 Hen. IV. cap. 27. 2 and St Juftina. There, in 1413, was difcovered the fol- 7 Hen. IV. 8 Hen. VI. cap. 4. 8 Ed-. IV. cap. 2 ; lowing epitaph upon Livy r OJ/a Till Liv'ti Patavini, and no man, of whatever condition, was allowed to omnium mortaliumjudicio digni, cujusprope inviElo calamo in- give any livery, but to his domeftic officers, and Court- victipopuli Romani res gejla confcriberentur; that is, “ The lei learned in the law. However, moll of the above bones of Titus Livius of Patavium, a man worthy to ftatutes are repealed by 3 Car. I. cap. 4. be approved by all mankind, by whole almoft invin- LiFi.nr of Sef 11, in-law, fignifies delivering the cible pen the a6ls and exploits of the invincible Ro- 1660 1680 1700 1720 1740 i 760 I780 ■3 ic6 132 410 485 986 1709 2267 Buried. ! Married. 51 124 293 608 599 i544 1773 5 35 58 137 408 606 804 ILivkis. r-' L I V [ >07 ] I. I V mans were written.” Thefe bones are fa id to be pre¬ ferred with high reverence to this day, and are Ihown by the Paduans as the moft precious remains. In 1451, Alphonfus, king of Arragon, fent his ambaffa- dor, Anthony Panormita, to defire of the citizens of Padua the bone of that arm with which this their fa¬ mous countryman had written his hiftory : and, ob¬ taining it, caufed it to be conveyed to Naples with the greateft ceremony as a moft invaluable relic. He is faid to have recovered from an ill ftate of health by the pleafure he found in reading this hiftory : and there¬ fore, out of gratitude, put upon doing extraordinary honours to the memory of the writer. Panormita alfo, who was a native of Palermo in Sicily, and one of the ableft men of the 15th century, fold an eftate to pur- chafe this hiftorian. The hiftory of Livy, like other great works of an¬ tiquity, is tranfmitted down to us exceedingly mutilated and imperfett. Its books were originally an hundred and forty-two, of which are extant only thirty-five. The epitomes of it, from which we learn their number, all remain, except thofe of the 136th and 137th books. Livy’s books have been divided into decades, whichfome will have to have been done by Livy himfelf, becaufe there is a preface to every decade ; while others fuppofe it to be a modern contrivance, fince nothing about it can be gathered from the ancients. The fir ft decade, begin¬ ning with the foundation of Rome, is extant, and treats of the affairs of 460 years. The fecond decade is loft; the years of which are feventy-five. The third decade is extant, and contains the fecond Punic war, inclu¬ ding eighteen years. It is reckoned the moft excellent part of the hiftory, as giving an account of a very long and (harp war, in which the Romans gained fo many advantages, that no arms could afterwards withftand them. The fourth decade contains the Macedonian war againft Philip, and the Afiatic war againft Antio- chus, which takes up the fpace of about 23 years. The five firft books of the fifth decade were found at Worms, by Simon Grynasus, in 1431, but are very defective ; and the remaindec. of Livy’s hiftory, which reaches to the death of Drufus in Germany in 746, together with the fecond decade, are fupplied by Freinlhemius. Never man perhaps was furnilhed with greater ad¬ vantages for writing a hiftory than Livy. Befides his own great genius, which was in every refpeft admi¬ rably formed for the purpofe, he was trained as it were in a city, at that time the emprefs of the world, and in the politeft reign that ever was; having fcarcely had any other fchool than the court of Auguftus. He had accefs to the very beft materials, fuch as the Memoirs of Syfta, Caefar, Labienus, Pollio, Auguftus, and o- thers, written by themfelves. “ What writers of me¬ morials (fays Lord Bolinbroke), what compilers of the Materia Hiftorica, were thefe ! What genius was ne- ceffary to finilh up the pictures that fuch mafters had Iketched ! Rome afforded men that were equal to the talk. Let the remains, the precious remains, of Sal- luft, of Livy, and of Tacitus, witnefs this truth. What a fchool of public and private virtue had been opened to us at the refurreftion of learning, if the lat¬ ter hiftorians of the Roman commonwealth, and the firft of the fucceeding monarchy, had come down to us entire ! The few that are come down, though broken and imperfeft, compofe the beft body of hiftory that we have ; nay, the only body of ancient hiftory that deferves to be an objedt of ftudy. It fails us indeed moft at that remarkable and fatal period, where our reafonable curiofity is railed the higheft. Livy em¬ ployed forty-five books to bring his hiftory down to the end of the fixth century, and the breaking out of the third Punic war : but he employed ninety-five to bring it down from thence to the death of Drufus; that is, through the courfe of 120 or 130 years. Appian, Dion Caffius, and others, nay, even Plutarch included, make us but poor amends for what is loft of Livy.” Speaking then of Tully’s orations and letters, as the beft adventitious helps to fupply this lofs, he fays, that “ the age in which Livy flouriflied, abounded with fuch materials as thefe : they were frefh, they were au¬ thentic : it was eafy to procure them; it was fafe to employ them. How he did employ them in executing the fecond part of his defign, we may judge from his execution of the firft ; and, I own, I ftiould be glad to exchange, if it were poffible, what we have of this hiftory for what we have not. Would you not be glad, my lord, to fee, in one ftupendous draught, the whole progrefs of that government from liberty to fervitude ; the whole feries of caufes and effects, apparent and real, public and private ?” &c. The encomiums bellowed upon Livy, by both an¬ cients and moderns, are great and numerous. He not only entertains like Herodotus ; he alfo inftrufts and interefts in the deepeft manner. But the great probity, candour, and impartiality, are what have diftinguilh- ed Livy above all hiftorians; for neither complaifance to the times, nor his particular connexions with the emperor, could reftrain him from fpeaking well of Pom- pey; fo well, as to make Auguftus call him a Pom¬ peian. This we learn from Cremutius Cordus, in Ta¬ citus ; who relates alio, much to the emperor’s ho¬ nour, that this gave • no interruption to their friend- Ihip. But whatever elogies Livy may have received as an hiftorian, he has not efcaped cenfure as a writer. In the age wherein he lived, Afinius Pollio charged him with Patavinity ; which Patavinity has been va- rioufly explained by various writers, but is generally fuppofed to relate to his ftyle. The moft common is, that this noble Roman, accuftomed to the delicacy of the language fpoken in the court of Auguftus, could not bear with certain provincial idioms, which Livy, as a Paduan, ufed in divers places of his hiftory. Pignorius is of another mind, and believes that this Patavinity regarded the orthography of certain words, wherein Livy ufed one letter for another, according to the cuftom of his country, writing Jibe and quafe forfibi and quaji; which he attempts to prove by fe- veral ancient infcriptions. The expreffions, however, or the orthography of words, are not loaded with ob- fcurity, and the perfed claffic is as familiarly acquaint¬ ed with thofe fuppofed provincialifms as with the pureft Latinity.—Livy has been cenfured too, and perhaps with juftice, for being too credulous, and burdening his hiftory with vulgar notions and fuperftitious tales. He may difguft when he mentions that milk and blood were rained from heaven, or that an ox fpoke or a wo¬ man changed her fex ; yet he candidly confeffes that he recorded only what made an indelible impreffion upon the minds of a credulous age. Is it worth while to mention here the capricious O 2 and 1 L I V r 108 1 L I X and tyrannic humour of the emperor Caligula, who accufed Livy of being a negligent and wordy writer, and refolved therefore to remove his works and ilallies out of all libraries, where he knew they were curioully preferred ? Or the fame humour in Domitian, another prodigy of nature, who put to death Metius Pompo- lianirs, becaufe he made a colleftion of fome orations of kings and generals out of Livy’s hiftory ? Pope Gregory the Great, alfo, would not fuffer Livy in any Chrillian library, becaufe of the Pagan fuperftition wherewith he abounded: but the fame reafon held good againft all ancient authors ; and indeed Gregory’s zeal was far from being levelled at Livy in particular, the pontiff having declared war againlt all human learn- iag- Though we know nothing of Livy’s family, yet we learn from Quintilian, that he had a fon, to whom he addreffed fome excellent precepts in rhetoric. An an¬ cient infcription fpeaks alfo of one of his daughters, named Livia Shjarla : the fame, perhaps, that efpoufed the orator Lucius Magius, whom Seneca mentions ; and obferves, that the applaufes he ufually received from the public in his harangues, were not fo much on his own account, as for the fake of his father in law. Our author’s hiftory has been often publifhed with and without the fupplement of Freinfhemius. The heft editions are, that of Gronovins, cum noth ’vario¬ rum. iif fu':s, Lugd. Bat. 1679, 3 vol. 8vo; that of Le Clerc, at Amfterdam, 1709, 10 vol. 12mo ; and that of Crevier, at Paris, 1735, 6 vol. 410. Thefe have the fupplements.—Learning perhaps never fu- itained a greater lofs, in any ftngle author, than by the deftrudfion of the latter and more interefting part of Livy. Seiteral eminent moderns have indulged the pleafing expectation that the entire work of this noble hiftorian might yet be recovered. It has been faid to ex ill in an Arabic verfion : and even a complete copy of the original is fuppofed to have been extant as late as the year 1631, and to have perifhed at that time in the plunder of Magdeburgh. The munificent pa¬ tron of learning, Leo X. exerted the moft generous zeal to relicue from oblivion the valuable treafure, which one of his moft bigotted predeceffors, above mentioned, had expelled from every Chriftian library. Bayle has preferved, under the article Leo, two curious original letters of that pontiff, concerning his hopes of recovering Livy; which afford moll honourable proofs of his liberality in the caufe of letters.—A lately difeovered fragment of Livy’s hiftory was publifhed in 1773 by Dr Bruns. Livius (Andronicus), a comic poet who flourifhed at Rome about 240 years before the Chriftian era. He was the firit who turned the perfonal fatyrs and fefeen- nine verfes, fo long the admiration of the Romans, in¬ to the form of a proper dialogue and regular play. Though the character of a player, fo valued and ap¬ plauded in Greece, was reckoned vile and defpicable among the Romans, Andronicus a£ted a part in his dramatical compofitions, and engaged the attention of his audience, by repeating what he had laboured after the manner of the Greeks. Andronicus was the freedman of M. Livius Salinator, whofe children he educated. His poetry was grown obfolete in the age of Cicero, whofe nicety and judgment would not even recommend the reading of it. LIVONIA, a large province of the Ruffian em¬ pire, with the title of a duchy. It is bounded on the north by the gulph of Finland, on the weft by that of Riga, on the fouth by Courland, and on the eaft, partly by Plefcow, and partly by Novogorod. It is about 250 miles from north to fouth, and 150 from eaft to weft. The land is fo fertile in corn, that it is called the granary of the north; and would pro¬ duce a great deal more, if it was not fo full of lakes. The fifh that abound here are i’almons, carps, pikes, flat fifh, and many others. In the forefts there are wolves, bears, elks, rein-deer, flags, and hares. The domeflic animals are very numerous ; but the fheep bear very bad wool. Here' are a great number of fo¬ refts, which confift of birch-trees, pines, and oaks ; and all the houfes of the inhabitants are built with wood. The merchandizes which they fend abroad are flax, hemp, honey, wax, leather fkins, and potafhes. The Swedes were formerly poffeffed of this province, but were obliged to abandon it to the Ruffians after the battle of Pultowa ; and it was ceded to them by the peace of the North, concluded in 1722, which was confirmed by another treaty in 1742. It is divided in¬ to two provinces, viz. Letonia and Eftonia ; and tw<5 iflands called Oefel and Dagho, which are again fubdi- vided into feveral diftrifts. LIVONICA-terra, a kind of fine bole ufed in the fhops of Germany and Italy. It is found in Livo¬ nia, from whence it takes its name, and alfo in fome other parts of the world. It is generally brought to us in little cakes, fealed with the impreffion of a church and an efcutcheon, with two crofs keys. LIVRE, a French money of account, containing 20 fols. See Mon ex-Table. LIXA, or Lixus (anc. geog.) a town on the At¬ lantic near the river Lixus ; made a Roman colony by Claudius C as far; famous in mythology for the palace of Anteus and his encounter with Hercules, (Pliny). Now Larache, fixty-fi^e leagues to the fouth of the flraits of Gibraltar. LIXIVIOUS, an appellation given to falls ob¬ tained from burnt vegetables by pouring water on their allies. ■ LIXIVIUM, in pharmacy, &c. a ley obtained by pouring fome liquor upon the allies of plants v which is more or lefs powerful, as it has imbibed the fixed falls contained in the allies. LIXNAW, a barony in the county of Kerry and province of Munfter in Ireland, which gives title of Baron to the earls of Kerry -r the village here of this name being their ancient feat, where the caftle was ereffed. This feat ftands agreeably on the river Brick, which is here cut into feveral pleafant canals, that a- dorn its plantations and gardens; the improvements are extenlive, moft of the viftoea and avenues termi¬ nating by different buildings, feats, and farm-houfes. The tide flows up to the gardens, whereby boats of a confiderable burden may bring up goods to the bridge near the houfe : here are two ftone-bridges over the Brick, the oldeft of which was built by Nicholas the third baron Lixnaw, who was the firft perfon that made caufeways to this place, the land being naturally wet Livonia in II I Lixnaw. .pi L O A [ log ] L O A wet and marfliy. W. Long. 9. 15. N. Lat. 52. a vein of earth or ftone, or fome other metalline fub- 15. fiance ; in which cafe it generally happens, that one il LIZARD, in zoology. See Lacerta. part of the load is moved to a confiderable diftance on Loango, ^ Lizard, in geography, a cape or promontory of one fide. This tranfient load is, by the miners, termed * Cornwall, fituated, according to the moft common a jlooiintr ■ and th« part of the load which is moved, is by them faid to be heaved. This fracture or heave of a load, according to Mr Price, is produced by a fubfidence of the flrata from their primary pofitions, which he fuppofes to have been horizontal or parallel ' to the furface of the earth, and therefore fhould more properly be called a depreffion than a heave. This computation, in W. Long. 5. 47. N. Lat. 49. 50. . LLANDAFF. See Landaff. LLOYD (Nicholas), a learned Englifh writer in the 17th century, was born in Flintfhire in England, and educated at Wadham college, Oxford. He was rector oTp Newington St Mary near Lambeth in Surry, till his death, which happened in 1680. His Diciio- heaving of the load would be an inexpreffible lofs to the narium Hijloruum. is a valuable work, to which Hoff¬ man and Moreri are greatly indebted. Lloyd (William),' a moft learned Englifh writer and bifhop, was born in Berkfhire in England in 1627. He was educated under his father, reftor- of Sonning, and vicar-of Tyle-hurft in Berkfhire; then went to Oxford, and-took orders. In 1660 he was made pre¬ miner, did not experience teach him, that as the loads always run on the fides of the hills, fo the part heaved is always moved toward the defeent of the hill; fo that the miner, working toward the afeent of the hill, and meeting a flooking, confiders himfelf as working in the heaved part ; wherefore, cutting through the flooking, he works upon its back up the afeent of the bendary eft Rippon; and in 1666 chaplain to the-king, hill, till he recovers the load, and s Jin 1667 he took the degree of dodlor of divinity; in 1672 he was inftalled dean of Bangor; and in 1680 was confecrated bifhop of St Afaph. He was one of the fix bifhops who, with archbiihop Sancroft, were committed prifoners to the Tower of London, for fub- feribing a petition to the king againft diftributing and publifhing his declaration for liberty of confcicnce. Soon after the revolution he was made almoner to king William and queen Mary: in 1692 he was tranflatedto the bifhopric of Litchfield and Coventry; and in 1699, to the fee of Worcefter, where he fat till his death, which happened in 1717, the 91ft ytar of his age. Dr Burnet gives him an exalted character, and his works are highly efteemed. LOACH, in ichthyology. See Cobitis. LOAD, or Lode, in mining, a word ufed efpe- cially in the tin-mines, for any regular vein or courfe, whether metallic or not; but moft commonly load means a metallic vein. verja. Load is alfo ufed for nine difhes of ore, each difh being about half a hundred weight. LOADSTONE. See Magnet. LOAMS, in natural hiftory, are defined to be earths compofed of diflimilar particles, fluff, denfe, hard, and rough to the touch ; not eafily broke while moift, rea¬ dily diffufible in (water, and compofed of fand and a tough vifeid clay. Of thefe loams fome are whitifh and others brown and yellow. LOAN, any thing given to another, on condition of return or payment. Public Loans. See Funds, and National Debt. LOANDA, a province of the kingdom of Angola in Africa. It is an ifland about 15 miles in length, and three in breadth; remarkable chiefly for the capi¬ tal of Angola fituated upon it, in E. Long. 12. 25. S. Lat. 8. 45. This town was built by the Portuguefe in 1578, under the direftion of the firft Portuguefe governor in thefe parts. It is large, populous, and It is to be obferved, that mines in general are veins pleafantly feated on the declivity of a hill near the or cavities within the earth, whofe fides receding from fea-coaft, and facing the fouth-weft. The ifland is or approaching to each other, make them of unequal fupplied with frefh water from wells dug in it; and breadths in different places, fometimes forming large fpaces, which are called holes; thefe holes are filled like the reft with fubftances, which, whether metallic, or of any other nature, are called loads. When the fubftances forming thefe loads are reducible to metal, the loads are by the Englilh miners faid to be alive, otherwife they are termed dead loads. In CornwalFand Devonshire the loads all hold their which are not funk below the depth of three feet when they are filled with excellent water. It is remarkable, however, that the water of thefe wells continues good only during the time of high-tide ; for, as that finks, the water becomes more and more brackilh, till at laft it is quite fait, almoft as much as the fea itfelf. On the coaft of this ifland are fiftied the zimbis, or ihells ufed in feve-ral parts of Africa inftead of money ; and courfe from eaftward to weftward, tho’ in other parts of with thefe ihells, inftead of coin, is carried on a great England they frequently run,from north to fouth. The miners report, that the fides of the load never bear in a perpendicular, but always overhang either to the north or fouth above. The mines feem to have been fo many channels through which the waters pafs with¬ in the earth ; and like rivers they have their fmHl branches opening into them in all diredtions : thefe are by the miners termed the feeders of the load. Moft mines have ftreams of water running through them; and when they are found dry, it feems owing to the water having changed its courfe, which it feems fome¬ times to have been compelled to by the load’s having filled up the couife, and fometimes to have fallen into ether more eafy channels. The load is frequently intercepted by the crofting of 5 part’of the traffic of this country. LOANGO, a kingdom of Africa, extending itfelf about 180 geographical miles in length from fouth to north ; that is, from cape St Catharine under the fe- cond degree of fouth latitude, to a final! river called Lovanda Louifia, on the 5th degree of the fame. From weft to eaft it extends from Cape Negro on the coaft of Ethiopia towards the Buchumalean mountains, fo called on account of their vaft quantity of ivory and great droves of elephants, about 300 miles. It is di¬ vided into four principal provinces, viz. thofe of Lo- vangiri, Loango-mongo, Chilongo, and Piri. The inhabitants are very black, well-fhaped, and of a mild-temper. The men wear long petticoats, from the waift downwards, and have round their waift a piece LOB [ i I^oango piece of cloth half an ell or a quarter broad, over !1 which they wear the Ikin of a leopard, or fome other Label a. bead, hanging before them like an apron. On their head they wear a cap made of grafs, and quilt¬ ed, with a feather a-top of it; and on their Ihoulder, or in their hand, they carry a buffalo’s tail, to drive away the mulkettos. The womens petticoats are made only of ftraw, about an ell fquare, with which they cover their privities, but leave the greateft part of their thighs and buttocks bare : the reft of their body is quite bare, except that on their legs they wear little firings of beads made of fhells, and fmall brace¬ lets of ivory on their arms. They anoint themfelves with palm-oil, mixed with a kind of red wood redu¬ ced to powder. This country abounds with poultry, oxen, cows, fheep, goats, elephants, tigers, leopards, civet-cats, and other animals; fo that here are great quantities of elephants teeth, and fine furs, to be traded for. The capital city, where the king refides, is called J^oango, or Ban%a-Loangeri, and, in the language of the negroes, Boaric. This city is fituated in South Lat. 4L degrees, a league and a half from the fea- coaft. It is a pretty large city, fhaded and adorned with bananas, palm, and other trees. The king, who refides in a large-palace in the middle of it, has about 1500 concubines. If any of them is furprifed in adul¬ tery, fhe and her paramour are inftantly conveyed to the top of a very high hill, whence they are hurled down headlong from the fteepeft place. Every man marries as many wives here as he pleafes, who are obliged to get their hufbands a livelihood, as is the practice all along the African coaft inhabited , by blacks. The women, therefore, cultivate the land, fow and reap, while the lazy hufbands loiter away their time in idlenefs. The king’s revenue confifts in elephants teeth, cop¬ per, and a kind of petticoats made of palm-tree leaves, and called lavogus; he has whole ftore-houfes full of thefe lavpgus; but his greateft riches confift in Haves of both fexes. LOBBY, in archite&ure, is a fmall hall or waiting- room : it is alfo an entrance into a principal apartment, where there is a cpnfiderable fpace between that and a portico or veftibule, and the length or dimenfions will not allow it to be confidered as a veftibule or an anti¬ room. See Aktichamber. LOBE, in anatomy, any flefhy protuberant part, as the lobes of the lungs, the lobes of the ears, &c. LOBELIA, cardinal-flower : A genus of the monogamia order, belonging to the fyngenefia clafs of plants ; and in the natural method ranking under the 29th order, Campanacea:. The calyx is quinquefid ; the corolla monopetalous, and irregular ; the capfule infe¬ rior, bilocular, or trilocular. There is a great number of fpecies, but only four of them are cultivated in our gardens 5 two of which are hardy herbaceous plants for the open ground, and two fhrubby plants for the Hove. They are all fibrous rooted perennials, rifing with eredt ftalks from two to five or fix feet high, or¬ namented with oblong, oval, fpear-fhaped, fimple leaves; and fpikes of beautiful monopetalous, fomewhat rin- gent, five-parted flowers, of fcarlet, blue, and violet co¬ lours. They are eafily propagated by feeds, offsets, *nd cuttings of their ilalks. The tender kinds require 10 ] LOG the common treatment of other exotics. They are na- Lobetwm tives of America; from which their feeds muff be pro- II cured. Locarno. The root of a fpecies called the fipb'ditica is an article ' v " """ of the materia medica. This fpecies grows in moift places in Virginia, and bears our winters. It is perennial, has- an eredt ftalk three or four feet high, blue flowers, a milky juice, and a rank fmell. The root confifts of white fibres about two inches long, refembles tobacco in tafte, which remains on the tongue, and is apt to ex¬ cite vomiting. It is ufed by the North Amencan In¬ dians as a fpecific in the venereal difeafe. The form is that of decodtion ; the dofe of which is ordered to be gradually increafed till it bring on very confiderable purging, then to be intermitted for a little, and again ufed in a more moderate degree till the cure be com¬ pleted. The ulcers are alfo waftied with the decoc¬ tion, and the Indians are faid to fprinkle them with the powder of the inner bark of the fpruce tree. The fame ftridtnefs of regimen is ordered as during a faliva- tion or mercurial courfe. The benefit to be derived- from this article has not, as far as we know, been con¬ firmed either in Britain or by the practitioners in Vir¬ ginia: for there, as well as in this countiy, recotfrfe is almoft univerfally had to the ufe of mercury ; and it is probably from this reafon that the London college have not received itinto their lift. It, however, feems to be an article which, in fome cafes at leaft, dfcferves a trial. LOBETUM, anciently a town of the Hither Spain : faid to have been built by the Libyan Hercu¬ les, (Pliny.) Now Albaraxm, a town of Arragon on the confines of New Caftile, on the river Guadalavir. E. Long. 2. N. Lat. 40. 40. LOBINEAU (Guy Alexis), a Benedidtlne monk, born at Rennes in 1666, fpent his whole life in the ftudy of hiftory, and the writing of feveral works ; the. principal of which are, The hiftory of Brittany, 2 vols folio; and A continuation of Felibien’s hiftory of Paris, 9 vols folio. He died in 1727. LOBO (Rodriguez Francis), a celebrated Portu- guefe poet, was born at Leiria, a fmall town of Eftra- madura. He wrote an heroic poem, fome eclogues, and a piece intitled Euphrofyne, which is the favourite comedy of the Portuguefe. His works were collected and printed together in Portuguefe in 1721, in folio. He flourifhed about 1610. Lobo (Jerome), a famous Portuguefe Jefuit, born at Lilbon, went into Ethiopia, and dwelt there for a long time. At his return he was made reCtor of the college of Coimbra, where he died in 1678. He wrote An hiftorical account of Abyffinia, which is by fome efteemed a very accurate performance. ■ LOBSTER, in zoology, a fpecies of cancer. See Cancer. LOCAL, in law, fomething fixed to the freehold, or tied to a certain place : thus, real aCtions are local, fince they muft be brought in the country where they lie ; and local cuftoms are thofe peculiar to certain countries and places. Local Medicines, thofe deftined to aft upon par¬ ticular parts ; as fomentations, epithems, veficatories, &c. LOCARNO, a town of Swifferland, capital of a bailiwick of the fame name, feated at the north end i . of LOG [u Locatellus 0f the lake Maggiore, near the river Magie. It car- ll_ ries on a great trade ; and the country abounds in , Lnchia- pallures, wine, and fruits. £. Long. 8. 41. N. Lat. v 46. 6. LOCATELLUS’s BalsAm. See Pharmacy- LOCHABER, a diftridl of the (hire of Invernefs in Scotland. It is bounded by Moydart on the weft, Glengary on the north, Badenoch -on the call, and Lorn on the fouth. It derives its name from the lake orloch Aber; and extends about 20 miles from eaft to weft, and 36 from north to fouth. The- country is barren, bleak, mountainous, and rugged. In one of the moft barren parts t)f this country, near the mouth of the river Aber, in the centre between the Weft and North Highlands, {lands Fort-William, with the town of Maryburgh, built upon a navigable arm of the fea, not far from the foot of a very high mountain, called Benevh. The town, defigned as a futlery for the gar- rifon, was erefted into a borough ; and the fort itfelf w.as deligned as a check upon the clan Cameron, who had been guilty of depredations and other irregulari¬ ties. It is inhabited moftly by the Macdonalds, Ca¬ merons, and Mackintolhes ; who are not the moft ci¬ vilized people in Scotland, though their chiefs are ge¬ nerally perfons of education, honour, and hofpitality. Macdonald of Glengary, defcended in a ftraight line from Donald of the Hies, pofttfled a feat or caftle in this diftridl, which was burnt to the ground,' and de- ftroyed in the year 1715, in confequence of his decla¬ ring for the Pretender. The. elegant houfe and gar¬ dens belonging to Cameron of Lochiel underwent the fame fate, For the fame reafon, after the extinction of the rebellion in the year 1746. The cadets of thefe families, which have formed a kind of inferior gentry, are lazy, indigent, and uncleanly ; proud, ferocious, and vindictive. The common people, though cele¬ brated for their braveiy, fidelity, and attachment to their chiefs, are counted very favage, and-much ad¬ dicted to rapine; They fpeak the Erfe language, and conform to- the cuftoms we have defcribed as peculiar to the Highlanders. They pay very little, attention to any fort of commerce but that which confills in the fale of their black cattle, and lead a fort of vagrant life among the hills; hunting, fowling, and fifiring, as the fealons permit, and as their occafions require. They delight inarms, which they learn to handle from their infancy; fubmit patiently to difcipline in the character of foldiers ; and never fail to fignalize them- felves in the field by their fobriety, as well as their va¬ lour. While they remain in their own country, no¬ thing can be more penurious, mean, fordid, and un¬ comfortable, than the way of life to which thefe poor people are inured, whether we confider their drefs, diet, dr lodging. In point of provifion, they are fo impro¬ vident or ill fupplied, that, before the winter is. over, whole families are in danger of ftarving. In this emergency, they bleed their miferable cattle, already reduced to flrin and bone, and eat the blood boiled with oatmeal. This evacuation, added to their for¬ mer weaknefs, enfeebles the cows to fuch a. degree, that when they lie down they cannot rife again with¬ out afliftance. LOCHIA, in midwifery, a flux from the uterus confcquent- to delivery. See Midwifery, 1 ] LOG LOCK, a well-known inftrumery. ufed for fattening I-ocR. doors, chefts, &c. generally opened by a key. y—. The lock is reckoned the mafter-ptece in fmithery ; a great deal of art and delicacy being required in con¬ triving and varying the wards, fprings, bolts, &c. and adj lifting them to the places where they are to be uied, and to the various occafions of ufing thefn. From the various-ftruriture of locks, accommodated to their different intentions, they acquire various names. Thofc placed on outer-dqGrs are called Jlock-locks; thofe on chamber-doors, fprlng-!ocls ; thofe on trunks, trunk- locks, pad-locks. See. Of thefe the fpring-lock is the moft confiderable, both for its frequency and the curiofity of its ftrutture. Its principal parts are, the main-plate, the cover-plate, and the pin-hole: to the main-plate belong the key¬ hole, top-hook, crofs-wards, bolt-toe or bolt-knab; drawback-fpring tumbler, pin of the tumbler, and the ftaples; to the cover-plate belong the pin, main-ward, crofs-ward, ftep-ward or dap-ward ; to the pin-hole belong the hook-ward, main crofs-ward, (hank, the pot or bread, bow-ward, and bit. As on the proper confixLUtion of locks the fecurity of the moft valuable kinds of property, almoft entirely depends, and as numberleis devices are continually fallen upon to elude the utmoft efforts of mechanical invention in this refpedt, it thence becomes an objedl of no fraall importance to invent a lock' which it fhould be impofibk to open except by its proper key. A trea- tife upon this fubjeft has been publifhed by Mr Jo- feph Brama; who is confident that he has brought the matter td the requifite perfection, and that every one may reft aiTiired of the fecurity of his property when under the protection of a lock of his invention; Fie begins with obferving, that the principle on which 'all locks depend, is the application of a lever to an in¬ terior bolt, by means of a cpmmunication from with¬ out ; 10 that, by means of the latter, the lever arils upon the bolt, and moves it in fuch a manner as to fecure the lid or door from being opened by any pull or pu/h from without. The fecurity of locks in ge¬ neral therefore depends on the number of impediments we can interpofe betwixt the lever the key) and the bait which fecures the door; and thefe impediments1 are well known by the name of wards, the number and intricacy of which alone are fuppofed to diitinguifii a good lock from a bad one. If thefe wards, however, do not in an efferitual manner preclude the accefs of all other inilruments befides the propef key, it is ftill poffible for a mechanic of equal Ikill with the lock- maker to open it without the key,, and thus to eludd the labour of'the other. “ Locks (fays our author) have been conftruriled; and are at prefent much ufed and held in great efteemj from which the picklock is excluded: but the admif- fion of falfe keys is an imperfection for which no lock- frmtii has ever found acorreritive; nor can this imper- ferition be remedied whilft the protection of the bolt is wholly confided'to-yrm/ 'ivardj.” This pofition is proved by a remark, that the wards, let them be as intricate as we pleafe, muft all be expreffed on what is called the bit or web of the key: and therefore, when all the varieties that can be expreffed on this bit or web have been run through, every fucceeding lock muft ber the counterpart of feme other; and confequently the fame- LOG [ it ■L'ick- fame key which opens one will open the other alfo. This is evident from the locks ufually put upon drawers; and which, though they fhould be made to rdift the picklock, are ftill liable to be opened by ten thoufand other keys befides that appropriated to each of them. But though the variety of wards could be augmented even to infinity, ftill there could be no feeurity againit falfe keys ; for as every one of the wards mull be ex- preffed on the web of the key, if another key with a web quite plain be made to fit the key-hole exactly, we have only to.cover it over with fome colouring fub- ftance upon which the wards may make an impreffion; after which, it is eafy to cut out tire web in a proper manner for admitting them, when the lock will be as eafily opened by the falfe as by the true key. The firft perfon, according to our author, who had any claim to merit in the branch of lock-making, is Mr Baron ; whofe lock he acknowledges to be by far more perfect and fecure than any that ever appeared before ; though he ftill confiders it as unfit for giving that abfolute fecurity which is to be wiflred for. His improvement confifted in the proper application of what are called tumblers. “ Thefe (fays Mr Bramah) are a kind of grapple ; by which the bolt is confined, as well in its adtive as in its paffive ftation, and render¬ ed immoveable till fet at liberty by the key. One of thefe inftruments is commonly introduced into all locks that are of any ufe or value ; it is lodged behind the bolt, and is governed by a fpring which adls upon the tumbler as the tumbler a&s upon the bolt: The ap¬ plication therefore of any force to the tumbler, which is fuperiof to the force of the fpring, will caufe it to quit its hold, and fet the bolt at liberty.” In the common method of applying thefe machines, however, it matters nothing how far the tumbler is lifted above the point at which it ceafes to control the bolt; but it is otherwife in thofe of Mr Baron’s conftruftion. The adtion of his tumblers is circumfcribed by a cer¬ tain fpace cut in the centre of the bolt, of dimenfions fufficient only to anfwer the purpofe intended. The fpace in which the tumbler moves is an oblong fquare ; and is not only furnifhed with niches on the underfide into which the hooks of the tumblers are forced by the fpring as in other locks, but is provided with cor- refpondent niches on the other fide, into which the hooks are driven, if any greater force be applied to the tumblers than what is juft fufficient to difengage them from the bolt. Hence it becomes abfolutely neceffary, in the making of a falfe key, to conftrudl it in fuch a manner, that it may with the greateft exaflnefs give the requifite degree of preffure, and no more. Mr Bramah allows that this is a very great improve¬ ment, but obje&s that it is ftill poflible to frame a key which will open it as well as its own ; nor will the ad¬ dition of any number of tumblers preclude the poffibi- lity of opening it. “ By giving (fays he) an uniform motion to the tumblers, and prefenting them with a face which exactly tallies wfith the key, they ftill par¬ take, in a very great degree, of the nature of fixed wards; and the fecurity of his lock is thereby render¬ ed in a proportionable degree defective. Thus, fup- pofe the falfe key to have pafled the wards, and to be in contaft with the moft prominent of the tumblers, the imprefilon, which the llighteft touch will leave on the key, will direft the application of the file till 183. 2 ] L 0 . C fufficient fpace is prepared to give it a free paffage. Bod?, The key will then bear upon a more remote tumbler 5 which difficulty being in like manner got over, the lock will be as cafily opened by the falfe as by the true key.’* This feemingly infuperable objeftion to the perfec¬ tion of lock-making, however, our author removes with the greateft eafe imaginable, by caufing the tumblers which projeft unequally to prefent a plane furface : whence they would require a feparate and unequal mo¬ tion to difengage them; of coufequence no diftinAim¬ preffion coffid be made by them upon the plane furface of the web that would give any idea of their pofitions with regard, to one another, and the conftrudtion of a falfe key would be altogether impoffible. But though the principal difficulty with regard to Mr Baron’s lock be now overcome, others ftill occur, the difficulty of making locks which are conftruCt- ed with tumblers fufficiently durable. The tumblers themfelves, he obferves, muft be but flightly made ; and being expofed to perpetual fririion ty the key and their own proper motion, they muft foon decay ; and the keys of Mr Baron’s locks, he alfo obferves, are much lefs durable than thofe of any other locks he ever favv. With regard to the lock which Mr Bramah pre- fents to the public as abfolutely perfe&, he informs us, that the idea of conftructing it was firft fuggefted by the alarming increafe of houfe-robberies, which may reafonably be fuppofed to be perpetrated in a great meafure by perfidious fervants, or accompliffied by their connivance. Thus it is evident, that the locks which might exclude ordinary houfe-breakevs could be no fe- curity_ againft faithlefs fervants, who having conftant accefs to the locks, might eafily get falfe keys fabri¬ cated at their ieifuve. In confidering the fubjedt, our author was convinced, that his- hope of fuccefs de¬ pended entirely upon his ufing means as diffimilar as poffible to thofe by which the old locks were con- ftrudted ; as thefe, however varied, had been found infufficient for the purpofe. “ As nothing (fays he) can be more oppofite in principle to fixed wards than a lock which derives its properties from the motion of all its parts, I determined that the conftrudtion of fuch a lock ffiould be the fubjedt of my experiment.” In the profecution of this experiment he had the fatisfac- tion to find, that the leaft perfedl of all his models fully afeertained the truth and certainty of his prin- . ciple. The exclufion of wards made itmeceffary to cut off all communication between the key and the bolt; as the fame paffage, which (in a lock /imply conftrudt- ed) would admit the key, might give admiffion like- wife to other inftruments. The office, therefore, which in other locks is performed by the extreme point of the key, is here affigned to a lever, which cannot ap¬ proach the holt till every part of the lock has under¬ gone a change of polition. The neceffity of this change to the purpofes of the lock, and the abfolute impoffi- bility of effefting it otherwife than with the proper key, are the points to be afeertained; and this our author does in the following manner. Fig. 1. Shows Mr Bramah’s lirft attempt to con- ftnnft a lock upon this principle : which, to his fur- CCLXXII. prife, turned out complete and perfedl. si reprefents a common axis on which the fix levers, croffing the face . L O C r 113 3 LOG I^ock. face of the lock, are unit ed as on a joint. Each of -^V—- tliefe reils upon a feparate fpring fufficiently ftrong to bear its weight; or, if depreffed by a fuperior force, to reftore it to its proper poiition when that force is removed. B reprefents a frame through which the levers pafs by feparate grooves, exaftly fitted to their width, but of fufficient depth to allow them a free motion in a perpendicular dire&ion. The ♦art which projefts from the oppofite fide of the joint A, and is inferted in the bolt C, is a lever to which tivo offices are affigned ; one to keep the bolt in a fixed pofition, in the abfence of the key; the other, to give it its proper motion upOn the application of the key. D is a circular platform turning upon a centre. On this the joint or carriage of the levers, and the fprings on which they red, are fixed; and the motion of this plat¬ form impels the bolt, in either dire&ipn, by means of the lever which is proje&ed from the joint A. The inviolable reftraint upon this lock, by which means it ' is fubje&ed only to the action of the key, is lodged in the part E, which is a thin plate, bearing at each ex¬ tremity on a block, and having of courfe a vacant fpace beneath, equal in height to the thicknefs of the blocks @n which it refts. By this plate the motion of the machine is checked or guided in the following manner: On the edge of the plate which faces the movement there are fix notches, which receive the ends of the levers projecting beyond the frame B; and while they are confined in this manner, the motion of the machine . is fo totally fufpended as to defy every power of art to overcome. To underftand in what manner the proper key of this lock overcomes thefe obftacles, it mull be obfer- ved, that each lever has a notch on its extremity, and that thofe notches are difpofed as irregularly as pof- fible. To give the machine a capacity of motion, thefe notches mult be brought parallel to each other, and by a diftindl but unequal preflure upon the levers, be formed into a groove in a direct line with the edge of the plate E, which the notches are exaftly fitted to receive. The leaft motion of the machine, while the levers are in this pofition, will introduce the edge of the plate into the groove ; which, controuling tlie power of the fprings, will give liberty to the levers to move in an horizontal direction as far as the fpace between the blocks which fupport the plate E will admit, and which is fufficient to give the machine a power of act¬ ing on the bolt. The impoffibility of thus bringing the notches on the points of the levers into a direCt line, fo as to tally with the edge of the plate E by any other means than the motion and impulfe of the key, is that which conftitutes the principal excellency of this lock. .The key (fig. 2.) exhibits fix different furfaces, again ft which the levers are progreffively admitted in the operation of opening the lock : the irregularity of thefe furfaces fliows the unequal and diftinct degree of preffure which each lever requires to bring them to their proper bearings, in order to put the machine in motion. Hence it appears, that unlefs the various heights of the furfaces expreffed on the bit of the key dre exaClly proportioned to the feveral diftances necef- fary to bring the notches into a ftraight line with each / other, they muff remain immoveable; “ and (fays our author) as one ftroke of a file is fufficient to caufe Vol.X. Part I. fuch a difproportiem as will prove an unfurmoimtable Lock, impediment to their motion, I may fafely affert, that it is not in art to produce a key or other inftrument, by which a lock, conftruCted upon this principle, can be opened.” On this principle it would even be a matter of great difficulty for any workman, however fkilful, to conftruCt a key for the lock when open to his infpe&ion : “ for the levers being raifed, by the fubjacent fprings, to an equal height in the frame B, prefent a .plane furfaCe ; and confequently convey no d reCtion that can be of any ufe in forming a tally to the irregular furface which v they prefent when a&ing in fubjedion to the key. Unlefs therefore we can contrive a method to bring the notches on the points of the levers in a direft line with each other, and to retain them in that pofition till an exaCt impreffion of the irregular furface, which the levers will then exhibit, can be taken; the workman will be unable to fit a key to the lock, or to move the bolt. This procefs muff be rendered extremely troit- blefome by means of the fprings; and if fuch diffi¬ culties occur, even when the lock is open to the in¬ fpe&ion of a Ikilful workman, much more muff we fuppofe it out of the power of one who has not accefs to the internal parts to make a falfe key to a lock of this kind. Thefe difficulties render it neceffary in making locks of this kind not to fit the key to the lock, as is ufual in other locks, but to fit the lock to the key. In this kind of lock, therefore, the key muff be made firft; and the inequalities upon the furface of the bit work¬ ed as chance or fancy may direft, without any refe¬ rence to the lock. The key being thus completed, and applied to the furface of the levers, will, by a gen¬ tle preffure, force them to unequal diltances from their common ftation in the frame B, and fink their points to unequal depths into the fpace beneath the plate E. While the levers are in this pofition, the edge of the plate E will mark the precife point at which the notch on each lever muff be expreffed. The notches being cut by this dire&ion, the irregularity which appears when the levers refume their ilation in the frame B, and the inequality of-the receffes on the bit of the key, will appear as a feal and its correfponding im¬ preffion. The following is a lock* contrived upon the fame principle, but more curious ; and, in our author’s opi¬ nion, more extenfively ufeful. Fig. 3. reprefents a circular block of metal divided from the centre int» eight compartments, each containing a cell which forms a paffage through the block, as is reprefented by the fmall circles deferibed on the flat furface A. In each of thefe cells two grooves are cut at oppdfite points, which open a communication with the centre at one point, and with the fpherical furface of the block or barrel at the other. The fmall circle, which marks the centre of the flat furface A, is the key-hole, which likewife forms a paffage through the. barrel in a parallel line with the cells which furround it- This figure re¬ prefents the frame in which the a&ive parts of the lock are depofited. Fig. 4. fhows a fpiral fpring lodged in the bottom of each cell, and occupying one half of the fpace, the other being filled with a Aider refting upon the fpring, and repreiented by fig. 5. the office of thefe Aiders ex- P a&ly L O C [ i I.ook. a^lly correfponding with that of the levers in the lock already defcribed. Thus, when lodged in their refpec- tive cells, they are fuftained* like the level", by the e* lafticity of the fprings upon which they reft, till a fu- perior power be applied ; and they are again reftored to their ftations by the readlion of the fprings when the weight is removed. The fide B of each Aider is projected beyond the circular furface, as reprefented fig. 6. in a manner fimilar to the proje&ion of the le¬ vers in the former lock beyond the curved frame in which they move. The point C is projected through the interior groove into the fpace which forms the centre or key-hole, expreffed on the flat furface A. Fig. 7. reprefents the key. When this is appli¬ ed, it muft of courfe encounter thefe interior pro- jedtions; and when prefled forward, the indented fpaces on its point being unequal, will force the Aiders to un¬ equal diftances from their bearers; bringingthe notches exprefled on their exterior projections in a direct line with each other, in a manner fimilar to that by which the effedt is produced upon the Levers in the former Jock. When the key is withdrawn, and the Aiders re¬ fume their ftations by the preffure of the fprings, the difpofition of the notches muft be irregular in the fame proportion that the indentations on the point of the key are unequal; and they muft neceflarily fall again into a ftraight line when adled upon by the key. Fig. 6. ftiows the barrel completely fitted for adfion. Its interior end is caped with a plate, which unites its compartments, and confines the fprings and Aiders within the cells to which they belong. From that plate proceeds the point A, which reprefents the lever by which the bolt is projedted or withdrawn, according to the diredtion in which the machine performs its re¬ volution. Fig. 8. ftiows the flat furface of a thin plate, corre¬ fponding in its office with the part C of the former lock. The fpace cut in its centre is exadlly fitted to the fpherical furface of the barrel; the circle defcribing its circumference, and the notches cut on its edge, coinciding with the projedtions of the Aiders. The Bar¬ rel, when encircled with this plate at the middle of its fpherical furface, has its motion totally fufpended till the notches on the projedtions of the Aiders are forced, by the preffure of the key, into a line with each other: a groove being thus formed on the fpherical furface of the barrel parallel to, and coinciding with, the edge of the plate, the machine is at liberty to perform a revolution in any diredtion, but returns to its con¬ fined ftate when the key is withdrawn. • The parts of the movement being thus united, the interior end of the barrel is depofited in a bed repre¬ fented fig. 9. To this it is faftened at the angles of the plate reprefented fig. 8. by which the barrel is en¬ circled. The ftation of the bolt is at A; the lever which adts upon it being projedled on the other fide. Fig. 10. is a cap or malk which covers the face of the movement, and completes the lock. On this lock our author obferves, that it is excellent for ftreet-doors: “ for no method of robbery (lays he) is more pradtifed, than gaining admittance into houfes by thofe keys, wdiich, as is well known, may be pro¬ cured at the old iron Ihops to fit almoft any lock in ufe. Such robberies are generally committed where the fervants are allowed to take the key with them 2 14 ] LOG when fent on errands, it being impradtieablc while the key is fixed in the lock. The variations, by Lockcir wdiich the produdlion of correfpondent keys is avoid- y ed, have two fources: the one arifmgfrom the changes that may be made in the difpofition of the levers; the other, from the number of points contained on the projedled furface of each lever; by which the pofition of its notch may, in the fmalleft degree, be varied. “ The variations, produceable in the difpofitions of fix figures only, are 720: thefe, being progreffively multiplied by additional figures, will increafe by aft O'- nilhing degrees; and eventually (how, that a lock con¬ taining twelvejeverswill admit of 479,001,500changes; which, writh the addition of another lever, wall increafe to 6,229,019,500. Thefe being again multiplied by the number of changes which the projedled furface of the levers will admit in the difpolition of the notches, their amount will exceed numeration, and may there¬ fore be properly faid to be infinite. The flighted in- fpedlion will at once (how, that their conftrudlion pre¬ cludes all poflibility of obtaining an impreflion of their internal parts, which is neceflary for the fabrication of a falfe key; fork will be eafily feen, that the pofitions into which the levers are forced by the preflure of the key in opening the lock, can no more be afcertained when the key is withdrawn, than the feal can be co¬ pied from its impreflion on a fluid, or the courfe of a Ihip be difcovered by tracing it on the furface of the waves. But inviolable fecurity is not the only excel¬ lence they poffefs: the funpKcity of their principle gives them likewife a great advantage over locks that are more complicated, in point of duration; for their eflential parts being fubjedt to no fridtion, nor expofed to any poffible accident from without, they will be lefs affedted by ufe, and lefs liable to Hand in need of repair.” Lock, or weir, in inland navigations, the general name for all thofe works of wood or Hone made to confine and raife the water of a river: the banks alfo which are made to divert the courfe of a river, are called by thefe names in fome places. But the term lock is more particularly appropriated to exprefs a kind of canal inclofed between two gates ; the upper called, by workmen the fluice-gate, and the lower called the flood-gate. Thefe ferve in artificial navigations to confine the water, and render the paffage of boats eafy in palling up and down the ftream. See Canal. LOCKE (John), a moll eminent Englifti philofo- pher and writer in the latter end of the 17th century, was fon of Mr John Locke of Pensford in Somerfet- (hire, and born at Wrington near Briftolin 1632. Fie was fent to Chrift-church in Oxford ; but was highly dilfatisfied with the common courfe of ftudies then pur- fued in the univerfity, where nothing was taught but the Ariftotelian philofophy ; and had a great averfion to the difputes of the fchools then in life. The firft books which gave him a relilh feu* philofophy, were the wri¬ tings of Des Cartes : for though he did not always approve of his notions, yet he thought he wrote with great perfpicuity. He applied himfelf with vigour to his ftudies, particularly to phyfic, in which he gained a confiderable knowledge, though he never praftifed it. In 1694,. he went to Germany as fe- cretary to Sir William Swan, envoy from the Eng- lilh court to the de&or of Brandenburg and fome other L O C [ n [ J.ncke. other German princes. In lefs than a year, he re- turned to England; where, among other {Indies, he applied himfelf to that of natural philofophy, as ap¬ pears from a regifter of the changes of the air, which lie kept at Oxford from June 24. 1666, to March 28. 1667. There he became acquainted with the lord A filly, afterwards earl of Shaftelbury, who in¬ troduced him into the converfation of fome of the moft eminent perfons of that time. In 1670, he be¬ gan to form the plan of his £Jfay on Human Under- Jianding ; but his employments and avocations pre¬ vented him from finifliing it then. About this time he became a member of the Royal Society. In 1672, his patron, now earl of Shaftelbury, and lord chan¬ cellor of England, appointed him fecretary of the prefentations, which place he held till the earl refigned the great feal. In 1673, was made fecretary to a commiflion of trade, worth 5001. a-year; but that commiffion was diffolved in 1674. The earl of Shaftef- bury being reitored to favour, and made prelident of the council in 1679, fent for Mr Locke to London : but that nobleman did not continue long in his poft, being, fent prifoner to the tower; and after his dif- charge retired to Holland in 1682. Mr Locke followed his patron thither. He had not . been abfent from England a year, when he was ac- cufed at court of having written certain trafts againft the government, which were afterward difeovered to be written by another perfon ; and in November 1684, he was deprived of his place of ftudent in Chrilt- church. In 1685, the Englilh envoy at the Hague demanded him and 83 other perfons to be delivered up by the States General: upon which he lay concealed till the year following ; and during this time formed a weekly affembly with Mr Limborch, Mr Le Clerc, and other learned men at Amfterdam. In 1689 he returned to England in the fleet which conveyed the princefs of Orange ; and endeavoured to procure his relloration to his place of ftudent of Chrift-church, that it might appear from thence that he had been un- jultly deprived of it: but when he found the college would admit him only as a fupernumerary lludent, he defilled from his claim. Being efteemed a fufferer for revolution-principles, he might eafily have obtained a more profitable poft ; but he contented himfelf with that of commiffioner of appeals, worth 2001. a year, which was procured for him by the Lord Mordaunt, afterwards earl of Mon¬ mouth, and next of Peterborough. About the fame time he was offered to go abroad in a public charac¬ ter 4 and it was left to his choice, whether he would be envoy at the court of the emperor, that of the elec¬ tor of Brandenburg, or any other where he thought the air moft fuitable to him: but he waved all thefe, on account of the infirm ftate of his health ; which dif- pofed him gladly to accept another offer that was made by Sir Francis Maftiam and his lady, of an apartment in their country-feat at Oates in Effex, about 25 miles from London. This place proved fo agreeable to him in every re- fpeft, that it is no wonder he fpent the greateft part ot the remainder of his life at it. The air reftored him almoft to a miracle, in a few hours after his return .at any time from the town, quite fpent and unable to fupport himfelf. Befides this happinefs here, he j I 1. ° cr found in lady Mafham a friend and companion exaftly Locke to his heart’s wifh ; a lady of a contemplative and ftu- ^ ^ dious complexion, and particularly inured, from her ' infancy, to deep and refined fpeculations in theology, metaphyfics, and morality. In this family Mr Locke lived with as much eafe as if the whole houfe had been his own : and he had the additional fatisfaflion of feeing this lady breed up her only fon exadfly upon the plan which he had laid down for the bell method of educa¬ tion ; the fuccefs of which was fuch as feemed to give a fandlion to his judgment in the choice of that method. In effedl, it is to the advantage of this fituation that he derived fo much ftrength as to continue exerting thofe talents which the earl of Shafteftniry had obfer- ved to be In him for political fubjedls. Hence we find him writing in defence of the revolution in one piece *; and confidering the great national concern at that time, the ill ftate of the filver coin, and propofing re¬ medies for it, in others. Hence he was made a com¬ miffioner of trade and plantations in 1695, which en¬ gaged him in the immediate bufinefs of the ftate ; and with regard to the church, he publifhed a treatife the fame year, to promote the fcheme which king William had much at heart, of a comprehenfion with the dif- fenters. This, however, drew him into one contro- verfy ; which was fcarcely ended, when he entered into another in defence of his effay, which held till 1698 : foon after which the afthma, his conftitutional dif- order, increafing with his years, began to fubdue him ; and he became fo infirm, that in 1700 he refigned his feat at the board of trade, becaufe he could no longer bear the air of London fufficient for a regular attend¬ ance upon it- After this refignation he continued al¬ together at Oates ; in which retirement he employed the remaining laft years of his life entirely in the itu- dy of the holy Scriptures. He died in 1704, aged 73. His writings will im¬ mortalize his name. The earl of Shaftefbury, author of the Charafteriftics, though in one place he fpeaks of Mr Locke’s philofophy with feverity ; yet obferves, concerning his Effay on the Human Underftanding, in general, “ that it may qualify men as well for bufi¬ nefs and the world, as for the fciences and the uni- . verfity.” Whoever is acquainted with the barbarous ftate of the philofophy of the human mind, when Mr Locke undertook to pave the way to a clear notion of knowledge, and the proper methods of purfuing and advancing it, will be furprifed at this great man’s abi¬ lities ; and plainly difeover how much we are beholden to him for any confiderable improvements that have been made fince. His Difcourfes on Government, Letters on Toleration, and his Commentaries on fome of St Paul’s Epiftles, are juftly held in the higheft efteem. LOCKED Jaw. See (the Index fubjoined to) Medicine. LOCKMAN, an officer in the Ifle of Man, who executes the orders of government, much like our un- der-ftieriff. Lot km an, an eaftern philofopher. See Lokman. LOCLE, a fmall town in a diftri£l of the fame name in Switzerland, adjacent to Neufchatel and Val- lengin, and united with another named La Ghaux de Fond. Both thefe diftrifts occupy fome valleys formed by the mountains of Jura ; the greateft part of P 2 which LOG [ ii Lode, which not many years ago was one continued foreft, Locr1' though now converted into fine pafture-ground fitted ^ with flourifhing villages. The increafe of population in thefe diftrifts is particularly evident from the fol¬ lowing circumftance, viz. that formerly the produce of the country was more than fufficient to ferve the inhabitants; but now, though confiderably better cul¬ tivated, it fcarce furniflies an eighth part of the ne- ceflary confumption. This great increafe of numbers is owing to the early marriages of the inhabitants ; to the liberty allowed to every ftranger, who brings a certificate of his good behaviour, to fettle in the diftridt •, to follow any trade without reftriftion, and without an apprenticeihip ; and to the want of taxes, and an unbounded freedom of commerce. The induftry and genius of the people in thefe diftridts is very fur- prifmg. They carry on an extenfive commerce in lace, ftockihgs, cutlery, and other merchandife of their own manufadture; and particularly excel in every branch of watch and clock making. They make all the utenfils ne- ceflary intbefearts, and have invented feveral new ones. There are alfo in thefe diitridts painters, gilders, enamel- lers, engravers, and other artifts neceffary for completing the bufinefs of watch making ; by which means thatbu- finefs is carried on to fo great an extent, that 40,000 watches are computed to be annually made. Befides thefe arts already mentioned, the people are extremely ingenious in other branches of mechanics, and have in¬ vented fcveral altronomical and mathematical inftru- ments. One of the moll eminent in this way is Ja- quet Droz, now at Paris ; and whofe fon exhibited feveral furprifing automatical figures in England. One of thefe played upon a harpnehord; another drew landfcapes; and a third copied any word prefented to it, or wrote down whatever was di(dated by any'of the company. The inhabitants of thefe diftri&s are very courteous to ftrangers who vifit them : they are in general well informed in feveral branches of knowledge; and as they commonly employ their leifure hours in reading, they have circulating libraries in many of their villages. Their houfes are plaftered, white waflied, well built, and commodious, though fmall; being befides fur- nilhed with a degree of neatnefs and even elegance peculiarly ftriking in thefe fequeftered mountains. Such perfeft eafe and plenty (fays Mr Coxe) reigns throughout thefe mountains, that I fearedy faw one objectof poverty: the natural effects of induftry under a mild and equitable government.” LOCRI, or Locm Epizephyrii, (?_nc. geog.), a town of the Bruttii, on the Ionian fea : a colony of the Lo- cri Ozolse (Strabo); rather of the Epicnemidii (Virgil), who calls it Narycii Locriy from Naryx a town of the Eocri Epicnemedii. The epithet Epizephyru is from ksfituation near the promontory Zdphyrium (Strabo); Eocri and Locrenfcs, the people. They are faid to be the firft who ufed a code or body of written laws, compiled by Zaleucus from the laws of the Cretans, Lacedemonians, and the Areopagitas, adding amex- prefs penalty to each law, which was before difere- lionary, at the option of the judge (Strabo).. Adultery was puniflied with the lofs of both eyes. His own fon being convifted of this crime ; to maintain at the fame %me the authority of the law, and to pay feme regard the interceffion cf the people in favour of his fon, 6 ] LOG Zaleucus fuffered the lofs of an eye, his fon lofing Loco's, another (iElian, Val. Maximus.) II LOCRIS, the diftridt or territory of Locri in the . L°g‘ Bruttii in Italy. ’ Locris, a country of Achaia in Greece ; twofold, and divided by mount Parnaffus. The Hither was oc¬ cupied by the Locri Ozolae, called alfo Zephyrii., or Weftern, contained between iEtolia and Phocis, be¬ ginning at Naupa&um, and running in a narrow flip of land, fcarce 200 ftadia, along the fea to the bor¬ ders of the Phocenfes. The Farther Locris lay beyond Parnaflus, running out towards Thermopylse, and reach¬ ing to the Euripus of Euboea ; occupied by the Locri Opuntii, who dwelt on the Euboean fea ; and the Epic¬ nemidii, who occupied mount Cnemis (Strabo) ; and thefe two were the Eaftern Locri. LOCUS geometricus, denotes a line by which a local or indeterminate problem is folved. A locus is a line, any point 6f which may equally folve an indeterminate problem. Thus if a right line fuffice for the conilrudlion of the equation, it is called locus ad re Bum; if a circle* locus ad circulum; if a parabola, locus ad paraholam; if an ellipfis, locus ad ellipfin : and fo of the reft of the conic fedlions. LOCULAMENTA, and Loculi, in botany; cells or pockets : The internal divifions of a capfule, or other dry feed-veffel, fo termed.'—Thefe cells con¬ tain or inclofe the feeds ; and are different in number in different plants. The term Loculus is alfo fometimes ufed to ex- prefs the minute divifions in fome-fpecies of anther a ^ea term> fignifying a fmall piece of timber g 11 of a triangular, fedtoral, or quadrantal figure, on board a fhip, generally about a quarter of an inch thick, and five or fix inches from the angular point to the circum¬ ference. It is balanced by a thin plate of lead, nailed upon the arch, or circular fide, fo as to fwim perpen¬ dicularly in the water, with about two thirds immer- fed under the furface. Log-Line, a little cord, or line, about a hundred and fifty fathoms long, fattened to the log by means of two legs ab (fig.4.), one of which pafies through a hole at the corner, and is knotted on the oppofite fide, while the other leg is attached to the ?«ch by a pin fixed into another hole, fo as to draw out occaiionally. By thefe legs the log is hung in equilibrio ; and the line thus annexed to it is wound round a reel fixed for that pur- pofc in the gallery of the fhip. This line, from the diftartce of about ten, twelve, or fifteen fathoms off the log, has certain knots or divi- fions, which ought to be at leaft fifty feet from each other ; though it was the common pradice at fea not to have them above forty-two feet afunder. The length of each knot ought to be the fame part of a fea-mile as half a minute is of an hour; and ad¬ mitting the meafurement of Mr Norwood, who makes a degree on a great circle of the earth to contain 367,200 Englifh feet, or about 69k Englifh ftatute miles, and, therefore, ^gth part of it, or a nautical mile, will be 6120 feet; T^th of 6120, or 51 feet, should be the length of each knot. But becaufe it is fafer to have the reckoning rather ^before the fhip than after it, therefore fifty feet may be taken as the pro¬ per lengtbr of each knot. The knots are fometimes made to confift only of forty-two feet each, even in the prefent pra&ice ; and this method of dividing the log¬ line was founded on the fuppofition that fixty miles, each of 5000 Engliflrfeet, made a degree ; for -r' 0 of 5000 is 4i j-, or, in round nnmbers, 42 feet. Mari¬ ners, rather than quit the old way, though known to 1 be erroneous, ufe glaffes for half minute ones, that run but 24 or 25 feconds. They have alfo ufed a line of 45 feet to 30 feconds, or a glafs of 28 feconds to 42 feet. When this is the cafe, the diftance between the knots fhould be coife&ed by the following pro¬ portion : as 36 is to 50; fo is the number of feconds of the glafs to the diftance between the knots upon the line. The heat or moifture of the weather has of¬ ten a confiderable effect upon the glafs, fo as to make it run flower or fatter ; it fliould, therefore, be fre¬ quently tried by the pendulum in the following man¬ ner. On a round nail hang a firing that has a muff ket-ball fixed to one end, carefully meafuring between the centre of the ball and the firing's loop over the peg 39 I- inches, being the length of a fecond pendu¬ lum; then fwing it, and count one for every time it paffes under the peg,beginning at the fecond time it paf- fcs; and the number of fwings made during the time the glafs is running out fhows the feconds it (tonfains. Log. The line alfo is liable to relax and fhrink, and fhould therefore be occafionally meafured. The ufe of the log and line is to keep/ account and make an eftimate of the {hip’s way or diftance run ; which is done by obferving the length of line unwound in half a minute’s time, told by a half-minute glafs; fqr fo many knots as run out in that time, fo many miles the fhip fails in an hour. Thus, if there be four knots veered out in half a minute, the fhip is compu¬ ted to run four miles an hour. The author of this device for meafuring the fhip’s way is not known; and no mention of it occurs till the year 1607, in an Eaft-India voyage publifhed by Purchas ; but from,that time its name occurs in other voyages among his collections; and henceforward it became famous, being taken notice of both by our own authors and by foreigners ; as by Gunter in 1623; Snellius in 1624; Metius in 1631; Oughtred in j 633; Herigone in 1634; Salto nil all in 1636; Norwood in 1637 ; Pournier in 1643 ; and almoft by all the fuc- ceeding writers on navigation of every country. ’To Heave the Log, as they call it, they throw it into the water on the lee-fide, letting it run till it comes without the eddy of the fhip’s wake ; then one, hold¬ ing a half-minute glafs, turns it up juft as the firfl knot, or the mark from which the knots begin to be reckoned, turns off the reel (fig. 2.) or pafies over the Hern. As foon as the glafs is out, the reel is flopped, and the knots run off are told, and their parts eftima- ted. It is ufual to heave the log on.ce every hour in flops of war and Eaft-India men, and in all other veffels once in two hours; and if at any time of the watch the wind has increafed or abated in the intervals, fo as to affeCt the fhip’s velocity, the officer generally makes a fuitable allowance for it at the ck>fe of the watch. The log is a, very precarious way of computing, and muft always be corrected by experience and good fenfe; there being a great deal of uncertainty in the- yawing of the fhip going with the wind aft, or upon the quarter in the heaving of it, by its coming home,. • or being drawn after the fhip, on account of the frier tion of the reel and lightnefs of the log in the courfe of the current, and in the ft.rength of the wind, which feldom keeps the fame tenor for two hours together; which is the interval between the times of ufmg the log in fhort voyages, though in longer ones they heave it every hour. Yet this is a much more exaCt way of computing than any other in ufe ; much prefe¬ rable certainly to that of the Spaniards and Portuguefe, who gueffed at the fhip’s way by the running of the froth or water by the fhip’s fide ; or to that of the Dutch, who ufed to heave a chip over-board, and to number the paces they walk on the deck while the chip fwims between any two marks, or bulk-heads on the fide. Compound Log.. The above mentioned errors, and par¬ ticularly the log’s beingfubjeCt to drive with the motion which the water may have at its furface, whereas the ex¬ periment requires it to be fixed in the place where it is when the mark commencing the knots goes off the reel; have been confidered by writers, and many methods have been propofed to remove, or at leaft to leffen them.. 3 The L .0 G [ n8 ] L O G The !ate M. Bouguer propofed a method, which has been thought deferving of particular attention, in the Mem. Acad. Sc. 1747 ; afterwards in his Treatife on Navigation, publiihed at Pans in 1753, and fince re¬ printed in 1760, by the abbe de la Caille. For this purpofe, take for the log a conical piece of wood, which iix to the log-line palled through or along its axis, at about 40, 50, or 60, or more feet, from one end; and to this end fix the direr, which is a body formed of two equal fquare pieces of tin, or of thin iron plate, fixed at right angles to one another along their diagonals; and its lize fo fitted to that of the cone, that the whole may float. A cone of three inches diameter in the bafe, and of fix inches in the flant height, is propofed by M. Bougner to fuit a diver made of plates about 9]-inches fquare ; the interfeftion of the diagonals is joined to the log-line, and the loop and peg fixed as in the common log. However, it has been found, that no kind of w'ood ufed in Britiih dock-yards, when formed into a cone of the above dimenfions, wall float a diver made-of flout tin plates, one fide of the fquare being 9} inches. Such a diver weighing i^lb avoir- dupoife, required to float it a cone of five inches dia¬ meter and twelve inches on the flant fide, fo as the point of the cone, which was made of light fir, Ihould juft appear above the water. Now fuppofing one fide of fuch a fquare tin-diver to be about ten inches, and made of plates only two-thirds of the thicknefs of the former, fuch a diver would weigh, with its folder, about 20 ounces, and can be floated by a light fir cone of four inches diameter in the bafe, and ten inches in the flant height or length ; and fuch a compound log plight perhaps be found on trial to be affected by a- bout as much again as that propofed by M. Bouguer; and confequendy the difference between the numbers given by the common log and compound log, muft be augmented by twro-thirds of itfelf for the neceffary cor- reftion, as below. When the compound log of Bou¬ guer, above deferibed, is hove overboard, the diver will fink too deep to be much affected by the current or motion of water at the furface, and the log wall thereby keep more fteadily in the place where it firil fell; and confequently the knots run off the reel will fhow more accurately the Ihip’g rate of failing. As the common log is affefted by the whole motion of the current, fo this compound log wall feel only a part thereof, viz. fuch a part nearly as the refiftance of the cone is to the refiftance of the diver; then the refiftances of the above cone and diver are about as 1 to 5 ; and confequently this log will .drive but one- fifth part of what the common log would do ; and fo the (hip’s true run wall be affedted by one-fifth only of the motion of the waiters. To obtain the true rate of failing, it will be proper to heave alternately, hour and hour, the common log and this compound log; then the difference of their knots run off, augmented by its one-fourth part, is the correction ; which applied to the knots of the common log, will give the (hip’s true rate of failing at the middle time between the hours when thefe logs were hove. The eorredtion is additive when the Compound log’s run is the -greateft, otherwife it is fubtraftive. To find the courfe made good : increafe the obferved angle between the log-lines by one fourth- part ; and this gives the corredtion to be applied to the apparent courfe, or the oppufite of that (hown by the common log-; the corredtion is to be applied to the ^ ^ °f the apparent courfe, when the bearing of the common log is to the 1 right }°f ,he compound log. Or thus : the lengths run off both logs, toge¬ ther with their bearings, being known ; in a card or compafs apply the knots run off, taken from a fcalc of-equal parts along their refpedlive bearings, from the •centre ;. join the ends ; and in this line produced, on the fide next the compound log’s length, take one fourth of the interval; then a line drawn from the end, thus produced, to the centre of the card, will (how the true courfe and diftance made good. When a current, fuch as a tide, runs to any depth, the velo¬ city of that current may be much better afeertained by the compound log than by the common one, provi¬ ded the diver does not defeend lower than the run of the current; for as thofe (hips wliich are deepeft im- merged, drive fafteft with the tide ; fo the. diver, by being adled on below, as w ell as the log on the fur- face, their joint motion will give the total effeft of the current’s motion better than what could be deri¬ ved from the motion at the furface only. Alfo, by fuch a compound'log, the depth to which any current runs may be eafily tried. Other Logs. We have an account in the voyage to the North Pole,p. 97. of two other logs, which were tried by captain Phipps: one invented by Mr Ruffel, the other by Foxon ; both conftrufted upon this principle, that a fpiral, in proceeding its own length in the direction of its axis through a refilling medium, makes one re¬ volution round the axis ; if, therefore, the revolutions of the fpiral are regiftered, the number of times it has gone its own length through the water will be known. In both thefe the motion of the fpiral in the water is communicated to the clock-work within-board, by means of a fmall line fattened at one end to the fpiral, which tows it after the (hip, and at the other to a fpindle, which fets the clock-work in motion. That invented by Mr Ruflel has a half-fpiral of two threads, made of copper, and a fmall dial with c!ock-wrork, to regifter the number of turns of the fpiral. The other log has a whole fpiral of wood with one thread, and a larger piece of clock-work with three dials, two of them to mark the diftance, and the other divided into knots and fathoms, to (how the rate by the half-mi¬ nute glafs, for the convenience of comparing it with the log. This kind of log will have the advantage of every other in fmooth water and moderate weather; and it will be ufeful in finding the trim of a (hip when alone, in_furveying a coaft in a fingle (hip, or in meafuring diftances in a boat between head-lands and (hoals ; but it is fubjeft to other inconveniences, which will not render it a proper fubftitute for the common log. Perpetual Log. a machine fo called by its inventor, Mr Gottlieb of Houndfditch, London. It is intended by it to keep a conftant and regular account of the rate of the (hip’s velocity through the water ; whereas the common log hitherto ufed does not indicate the variation in her velocity in the interval of heaving the log, and confequently does not afeertain the true di- llance that the (hip has run in any given length of time. Fig. LOG [ i! Log. Fig. X. is a reprefentation of the whole machine ; the lower part of which, EFG, is fixed to the fide of Plate ^ reprefenting only the boundary line of the •CLXX1I1 ft1*?’8 figure. EF are the feftion of a wooden external cafe, left open at the ends KL, to admit the paffage of the water during the motion of the fhip. At M is a copper grating, placed to obftruft the entrance of any dirt, &c. into the machine. I, is a feftion of a water-wheel, made from 6 to 12 inches in diameter, as may be neceflary, with float-boards upon its circumfe¬ rence, like a common water-wheel, that turn by the refiltance of the water palling through the channel EK. It turns upon a Ihouldered axis, reprefented by the vertical fedtion at K. When the fhip is in motion, the refiftance of the water through the channel LK turns round the wheel f. This wheel, by means of a pinion, is connected with and turns the rod contained in the long copper tube N. This rod, by a pinion fixed at its upper extremity, is connefted with and turns upon the whole fyfiem of wheels contained in the dial of the cafe ABCD. This dial, by means of the copper tube N, may be fixed to any convenient place aboard the Ihip. In the front of the dial are feveral ufeful circular graduations, as follow : The re¬ ference by the dotted line A has an hand which is moved by the wheels with'n, which points out the mo¬ tion of the Ihip in fathoms of 6 feet each. The circle at B has an hand ihowing the knots, at the rate of 48 feet for each knot; and is to be obfen ed with the half¬ minute glafs at any time. The circle at C has a Ihort and a long hand ; the former of which points out the miles in land meafure, and the latter or longer the number of knots contained in. each mile, viz. 128, which is in the fame proportion to a mile as 60 minutes to the hour in the reckoning. At e, a fmall portion of a circle is feen through the frpnt-plate called the rtgtjier; which {hows, in the eourfe of 24 hours (if the ftiip is upon one tack), the diftance in miles thatThe has run; and in the 24 hours the mariner need take but. one ob- fervation, as this regifter ferves as an ufeful check upon the fathoms, knots, and miles, fhown upon the two other circles. fy Is a plate fliowing 100 degrees or 6000 miles, and alfo acts as another regilter or check ; and is ufe- 9 ] LOG ful in cafe of any miftake being made in obi’erving the diftance run by the other circles. The reckon¬ ing by thefe circles, without fear of miftake, may therefore be continued to nearly 12,000 miles. A communication from this machine may eafily be made to the captain’s bed-fide, where by touching a fpring only, a bell in the head ABCD will found as many times im an half minute as the fhip fails miles in an hour. , Mr Gottlieb has applied this machine to the Car¬ teret and Weftmoreland packets. He is very fanguine in the hopes of its fuccefs and utility; and conceives that the mariner will, by this contrivance, be better enabled than heretofore to keep the veflel and his reckoning together ; it being well known that the moft experienced navigator is too frequently erro¬ neous in this refpeft, the fnip being fometimes a- head, or fometimes afterti, off the reckoning. He alfo obferves, that the conftruftion of the log is fuch, that if the veffel was to be aground, ftrike a rock, or ftrip off her falfe keel, the parts would not be de¬ ranged : and further, fhould fhe be laid up for repairs, &c.. fix months, in half an hour after coming again into the water, the lower immergcd part of the log would clear itfelf, and be in proper action. Loa-Board, a fort of table, divided into feveral columns, containing the hours of the day and night, the dire&ion of the winds, the courfe of the fhip, and all the material occurrences that happen during the 24 hours, or from noon to noon; together with the latitude by obfervation. From this table the different officers of the ffiip are furnifhed with materials to com¬ pile their journals, wherein they likewife infert what-, ever may have been omitted, or reject what may ap¬ pear fuperfluous in the log-board. Loa-Booi, a book into which the contents of the log-board is daily copied at noon, together with every circumftance deferving notice that may happen to the fhip, or within her cognizance, either at fea or in a harbour, &c. The intermediate divifions or watches of the log-book, containing four hours each, are ufually figned by the commanding officer in fnips of war or Eaft-Indiamen. See Navigation. LOGARITH M S. T OGARITHMS, (from ratio, and ■^number), the indices of the ratios of numbers to one another; being aferiesof numbers.in arithmetical progreffion, correfponding to others, in geometrical progreffion ; by means of which, arithmetical calcula¬ tions can be made with much more eafe and expedi¬ tion than otherwife. Sect. I. Hi/lory of Logarithms. The invention of logarithms firft occurred to tliofe verfant in the conftruftion of trigonometrical tables, in which immenfe labour was required by large multi¬ plications, divifions, and extraction, of roots. The aim propofed was, to reduce as much as pofiible the mul¬ tiplications and divifions to additions and fubtraftions: and for thispurpofe, a method was invented by Nicho¬ las Raymer Urfus Dithmarfus, which ferves for one cafe of the fines, viz. when the radius is the firft ternt in proportion, and the fines of two arcs the fecond and third terms. In this cafe the fourth term is found by only taking half the fum or difference of the fines of the other two arcs, and the complement of the greater. This method was firft publifhed in 1588, and a few years afterward was greatly improved by Clavius, who ufed it in all proportions in the folu- tion of fpherical triangles ; adapting it to fines, tan¬ gents, verfed fines, and fecants; and this, whether the radius was the firft term in the proportion or not. This method, however, though now become much more S20 L O G A R I more genevally 'ufeful than before,'was ftill found at¬ tended with trouble in fome cafes; and as it depended upon certain properties of lines belonging to the circle, was rather of a geometrical than arithmetical nature ; on which account the calculators about the end of the 16th and beginning of the 17th century, finding the folution of aftronomical problems extremely trouble- fome, by reafon of the tedious multiplications and di- vifions they required, continued their endeavours to leffen that labour, by fearching for a method of redu¬ cing their operations to addition and fubtra&ion. The firft ftep towards this was, the confideration, that as in multiplication the ratio of the multiplier to unity is the fame as that of the produft to the multiplicand, it will follow, that the ratio of the produft to unity mult be equal to the fum of the two ratios of the multiplier to unity, and of the multiplicand to unity. Could a fet of numbers therefore be found, which would repre- fent the ratios of all other numbers to unity, the ad¬ dition of two of the former fet of numbers would be equivalent to the multiplication of the two numbers together, the ratios of which they denoted ; and the fum arifing from this-addition would denote the ratio of their produft to unity ; whence the produdl itfelf might be found by looking for the correfponding na¬ tural number in the table. The next thing was to fall upon a method of calcu¬ lating fuch a table as was wanted, which indeed ap¬ peared an Herculean labour. The firff obfervation was, that whatever numbers might be made ufe of to reprefent the ratios of others, the ratio of equality, or that of unity ^to unity muft be o ; for that ratio'has properly no magnitude, neither increafing nor dimi- nilhing any other ratio to which it is adapted, or from which it is fubtrafted. 2. The fecond obfervatiq>n was, that though any number might be chdfen at pleafure to reprefent the ratio of any other number to unity, yet wdien once this choice .was made, all the other numbers reprcfenting the different ratios muft be determined by it. Thus, if the ratio of 10 to I be reprefented by 1, then the ratio of 100 to 1 muft be 2, and that of 1000 to 1 muft be 3, &c.'; or if 2 was chofen to reprefent the ratio of 10 to I, then that of 100 to 1 muft be 4, that of 1000 to 1 muft be 6, &c.; and no other num¬ bers cohld poffibly be ufed. 3. As thofe artificial numbers reprefented, or were proportional to, the ratios of the natural numbers to unity, they muft be expreffions of the numbers of fome fmaller equal ratios contained in the former and larger ones. Thus, if we make 1 the reprefentative of the ratio .of 10 to x ; then 3, which reprefents the ratio of 1000 to 1, will likewife exprefs the number of ratios of 10 to 1, which are contained in that of 1000 to 1. If inftead of 1, we make icop to be the ratio of 10 to 1 ; then 3000 will exprefs the ratio of 1000 to 1, and this number 3000 will exprefs the number of fmall ratios of the 1 oooth root of 10 to x contained in the ratio of 1000 to x ; and fo on for any larger number, as xo,ooo, 100,000, or 10,000,000, &c. Thus, if inftead of xcoo we make 10,000,006 the reprefen¬ tative of the ratio of 10 to 1, then the unit will re¬ prefent a veryfmall ratio,of which there are 1®,000,000 contained betwixt 1 and 10, and which ratio could not really be had without extracting a root which involved N° 183. T H M S. Hiftory: in itfelf, 10,000,000 of times would only make up 10; which root may perhaps be moft intelligibly expreffed thus, 10>000>000v/^^ If the ratio of 10 to 1 con¬ tained 10,000,000 of thefe roots, it is evident that the ratio of 100 to x muft contain 20,000,000, that of 1 coo would have 30,000,000, &c.; of confequence, the ratio of 100 to 1 will be expreffed by 20,000,000, of 1000 to 1 by 30,000,000, &c.~Hence, as thefe artificial numbers reprefent the ratios of natural num¬ bers to unity, or are proportional to them, they are very properly .called the logarithms of thefe numbers, or the numbers of their ratios ; becaufe they really do exprefs this number of ratios. The relation of logarithms to natural numbers may perhaps more intelligibly be explained by two fenes of numbers, one in an arithmetical, and the other in geo¬ metrical, progreffion. Thus, Logarithms, o 1 2_345’6 7 8 Nat. numb. 1 2 4 8 16 32 64 128 256 Or, Logarithms, 0123 4 3 6 Nat. numb. 1 10 loo 1000 10,000 100,000. 1,000,000 In either of thefe feries it is evident, that by adding any two terms of the upper line together, a number will be had which indicates that produced by multiply¬ ing the correfponding terms of the lower line. Thus, in the firft two feries, fuppofe we wifli to know the produtt of 4X32. In the upper line we find 2 Hand¬ ing over the number 4, and 5 oyer 32 ; adding there- . fore 5 to 2 we find 7, the fum of this addition, Handing over 128, the produdl of the two numbers. In like manner, if we vvifli to divide 256 by 8, from the num¬ ber which Hands over 256, viz. 8, fubtraCl that which Hands over 8, viz 3 ; the remainder 5, which Hands over 32, fliows that the latter is the quotient of 256 divided by 8. Let it be required to involve 4 as high as the biquadrate or 4th power: Multiply 2, the num¬ ber which Hands over 4, by the index of the power to which the number is to be involved ; which index is 4: the produdl 8, Handing over 256, fliows that this laft number is the biquadrate of 4 required. Laftly, let it be required to extradl the cube root of 64 ; divide the number 6, which ftands over 64, by 3, the index of the root you wifh to extradl; the quotient 2, Handing over 4, fliows that 4 is the root fought. Thefe examples are fufficient to fliow the great uti¬ lity of logarithms in the moft tedious and difficult parts of arithmetic. But though it is thus eafy to frame a table of logarithms for any ferks of numbers going on in geometrical, progreffion, yet it muft be fax more difficult to frame a general table in which the logarithms of every poffible feries of geometricals ffiall correfpond with each other. Thus, though in the above feries we can eafily find the logarithm of 4, 8, &c. we cannot find that of 3, 6, 9, &c. ; and if we af- fume any random numbers for them, they will not cor¬ refpond with thofe which have already been affumed for 4, 8, 16, &c. In the conftrudlion of every table, however, it was evident, that the arithmetical or lo¬ garithmic feries ought to begin with o ; for if it began with unity, then the fum of the logarithms of any two numbers muft be diminiflied by unity before we could find the logarithm of the produdl. Thus, Logar. 1234567 8 9 Nat. N. 1 248 16 32 64 128 256 Here 121 Hiftory. L O G A R I Here let it be required to multiply 4 by 16 ; the num¬ ber 3 Handing over 4, added to 5 which Hands over 16, gives 8 which Hands over 128 : but this is not juH ; fo that we muH diminifli the logarithm by 1, and then the number 7 Handing over 64 fhows the title produtt. In like manner it appeals, that as we defcend below unity in a logarithmic table, the loga¬ rithms themfelves muH begin in a negative feries with refpe& to the former; and thus the logarithm of O will always be infinite ; negative, if the logarithms in- creafe with the natural numbers; but pofitive, if they decreafe. For as the geometrical feries muH diminifh by infinite divifions by the common ratio, the arith¬ metical one mufi decreafe by infinite fubtraftions, or increafe by infinite additions of the common dif¬ ference. This property of numbers was not unknown to the ancient mathematicians. It is mentioned in the works of Euclid; and Archimedes, made great ufe of it in his Arenar'ms, or treatife on the number of the fands: and it is probable that logarithms would have been, much fooner invented, had the real neceffity for them been fooner felt; but this did not take place till the end of the 16th century, when the conflru&ion of trigono¬ metrical tables, and folution of perplexed afironomical problems, rendered them abfolutely indifpenfable. About this time Tt is probable that many people wifiied to fee fuch tables of numbers, and were making attempts to conflrud! them; hut the in¬ vention is certainly due to Lord Napier, baron of MerchiHon in Scotland. The invention is by fome indeed afcribed to Longomontanus; but with very little probability, as he never publifhed any thing of the kind, nor laid claim to the invention, though he lived to fee the publication of Baron Napier’s ta¬ bles. Concerning this invention we are told, that “ one Dr Craig a Scotchman, coming out of Den¬ mark into his own country, called upon Baron Napier, and told him of an invention of Longomontanus in Denmark, to fave the trouble of the tedious multipli¬ cation and divifion in aflronomical calculations; but could give no farther account of it than that it was by proportionable numbers. From this flight hint the baron immediately fet about the work; arid by the time that Dr Craig returned to call upon him, he had prepared a rude draught of it, which he called Canon miraltln Logartlhmorum ; and this draught, with fome alterations, was printed in 1614. According to Kepler; one Jufle Byrge, aflSflant aHronomer to the landgrave of Hefle, either invented or projedted logarithms long before Baron Napier, and compofed a table of fines for every two feconds of the quadrant ; though, by reafon of his na¬ tural reftrvednefs, he never publiflied any thing to the world. But whatever might have been in this, it is certain that the world is indebted for logarithms to Baron Napier, who died in the year 1618. This no¬ bleman likewife made confiderable improvements in trigonometry ; and the frequent numerical computa¬ tions he had occafion for in this branch, undoubtedly contributed to his invention of the logarithms, that he might fave part of the trouble in thefe calculations. Kis book publiflied in 1614 was intitled Mc/ifici Loga- rithmorum Canonis defcriptio. At this time he did not publifli his method of couHrudlintf the numbers until Vol.X. Parti. T H M S. the fenfe of the learned fhould be known. In other refpedts the work is complete, containing all the lo¬ garithms of the natural numbers to the ufual extent of logarithmic tables; with the logarithmic lines, tan¬ gents, and fecants, for every minute of the quadrant, direftions for ufmg the tables, See. This work was publilhed in Latin; but was afterwards tranflated into Englifli by Mr Edward Wright, in¬ ventor of the principles of what has been falfely called Mercator’s Sailing. The tranflation was fent to his lordfhip at Edinburgh, and returned with his appro-- bation and fome few additions. It was publiflied in 1616, after Mr Wright’s death, with a dedication to- the EaH India Company, by his fon Samuel Wright, and a preface by Mr Briggs, who afterwards diltin- guilhed himfelf fo much in bringing logarithms to perfection. In this tranflation Mr Briggs alfo gave the defeription and draught of a feale invented by Mr Wright, as well as other methods invented by himfelf,' for finding the intermediate proportional numbers; the logarithms already found having been only printed for fuch numbers as were the natural fines of each minute. Mr Wright’s tranflation was reprinted in 1618, with a new title-page, and the addition of 16 pages of new matter, “ fliowing the method of calculating triangles, as well as a method of finding out fuch lines and loga¬ rithms as are not to be found in the canons.” Next year John Speidell publiflied his New Loga¬ rithms, in which were fome remedies for the inconveni¬ ences attending Lord Napier’s method. The fame year alfo Robert Napier, the Baron’s fon, publiflied a new edition of his father’s book, entitled Canonis Logarith- morum Dejcriptio; with another concerning the method of conftrufting them, which the Baron had promjfed ; together with fome other mifcellaneous pieces, which his father had likewife compofed along with Mr Briggs. In 1620 alfo, a copy of thefe works was printed at Lyons in one volume, by Bartholomew Vincent a bookfeller there; but this publication feems to have- been but little known, as Wingate, who carried loga¬ rithms to France four years after, is faid to have been the firfl who introduced them into that country. The Curfus Mathmaticus publiflied at Cologn in 1618 or 1619 by Benjamin Urfinus, mathematician to the eledlor of Brandenburg, contains a copy of Na¬ pier’s logarithms, together with fome tables of propor¬ tional parts. In 1624 he publiflied his Trigonometries, with a table of natural fines and their logarithms, ac¬ cording to Lord Napier’s method, to every ten feconds in the quadrant. The fame year a book on logarithms was publiflied at Marpurg by the celebrated Kepler, of the fame kind with thofe of Napier. Both of thefe begin at 90° or the end of the quadrant; and, while the fines decreafe, the logarithms gradually increafe; till at the beginning of the quadrant, or o, the logarithm is infinite. The only difference betwixt the logarithms of Napier and Kepler is, that in the former the arc is divided into equal parts, differing by one minute each ; and confequently their fines to which the loga¬ rithms are adapted are interminate numbers reprefent- ed only by approximating decimals: but in Kep¬ ler’s table, the radius is divided into equal parts; which are confidered as perfedl and terminate fines, having equal differences, and to which the logarithms are here adapted, 122 L O G A R adapted. A treatifc of feme extent was prefixed to the work ; in which the conftrudtion and ufe of loga¬ rithms is pretty largely treated of. In the year 1627 the fame author introduced logarithms into his Ru- dolphine Tables, together with feveral others, viz. 1. A table fimilar to that already mentioned; only that the column of lines or abfolute numbers is omit¬ ted, and another added in its ftead, fhowing what part of the quadrant each arc is equal to ; viz. the quotient arifing from the divifion of the whole quadrant by each given arc, and exprefled in inte¬ gers and fexagefimal, parts. 2. Napier’s table of lo¬ garithmic fines to every minute of the quadrant; as alfo two other fmaller tables adapted for the calcula¬ tion of eclipfes and the latitude of planets. In this work Julius Byrgius is mentioned as having invented logarithms before Napier. The kind of logarithms now in ufe were invented by Mr Henry Briggs profeifor of geometry in Grefham college, London, at the time they were firft difcover- ed by Napier. As foon as- the logarithms of Napier were publifhed, Mr Briggs directed his attention to the ftudy and improvement of them ; and his employment in this way was announced in a letter to Mr Ulher,.af¬ terwards the celebrated archbilhop, in the year 1615. By him the fcale was changed, and o was made the logarithm of 1; but lord Napier informed Mr Briggs that he had already thought of fuch a fcheme, but chofe rather tp publifh the logarithmic tables he had completed, and to let thofe alone until he fhould have more leifure as well as better health. At an inter¬ view betwixt Lord Napier and- Mr Briggs, the prefent plan feems to have been fettled; and in confequence of his lordfhip’s advice, Mr Briggs made fome altera¬ tion in the method of conftru&ing his tables from that which he had begun. A correfpondenee alfp took place betwixt his lordfhip and Mr Briggs, which con¬ tinued during the lifetime of the former. It appears, however, that, whether Mr Briggs thought of this al¬ teration before lord Napier or not, he certainly wasthe perfon who firft publifhed it to the world ; and fome reflections have been thrown upon his lordihip for not making any mention of the ftiare which Mr Briggs had in it. In 1617 Mr Briggs publifned his firft thoufand lo-- garithms under the title of Logarithmorum Chilias Pri- rta ; and in 1620 Mr Edward Gunter publhhed his Canon of Triangles, containing the artificial or loga¬ rithmic fines and tangents for every minute, to feven places of figures befides the index ; the logarithm of the radius being ro.QOO, &c. Thefe were the firft tables of logarithmic fines, tangents, &c. which made their ap¬ pearance upon the prefent plan ; and in 1623 they were reprinted in his book de SeSore et Radio, along with the Chilias Prima of Mr Briggs. The fame year Mr Gunter applied thefe logarithms of numbers, fines, and tangents, to ftraight lines drawn on a ruler; and with thefe the proportions in common numbers, as well as in trigonometryj were folved by the mere application of a pair of ccmpaftes; a method founded upon this property, that the logarithms of the terms of equal ra¬ tios are equally different. The inftrument is now well known by the name of the two-feet Gunter’s Scale. By the fame methods he alfo greatly improved the fee- tor, He was alfo the firft who ufed the word cojne I T H M S. HiAoryt for the fine of the complement of an arc ; and he in¬ troduced the ufe of arithmetical complements into the logarithmical arithmetic. He is faid alfo to have firft fuggefted the idea .of the logarithmic curve, fo called becaufe the fegments of its axis are the logarithms of the correfponding ordinates. The logarithmic lines were afterwards drawn in many other ways. Wingate, in 1627, drew them up¬ on two feparate rulers Hiding by each other, in order to fave the ufe of compaffes in refolving proportions. In 1627 alfoj they were applied by Mr Oughtred to. concentric circles ; about 1650, in a fpiral form, by one Mr Milburne of Yorkfhire ; and in 1657, they were applied on the prefent Hiding-rule by Mr Seth Partridge. The knowledge of logarithms was*diffufed in France by Mr Edmund Wingate, as already related, though not carried originally thither by him. Two fmall tracts were publiftied by him in French, and afterwards, an edition in Englifti, all printed in London. In the firft of thefe he mentions the ufe of Gunter’s Ruler; and in the other that of Briggs’s Logarithms, with the canon of artificial fines and tangents. There are like- wife tables of thefe fines, tangents, and logarithms, co¬ pied from Gunter. From the time that Mr Briggs firft began to ftudy the nature of logarithms, he applied to the conftruc- tion of tables with fuch afliduity, that by the year 1624 he publiflied his Arithmetica Logarithmica, con¬ taining the logarithms of 30,000 natural numbers to 14 places of figures befides the index viz. from 1 to 20,000, and from 90,000 to 100,000, together with the differences of the logarithms. According to fome, there was another Chiliad, viz. from 100,000 to 101,000;. but this does not feem to be well authenti-. cated. In the preface to this work, he gives an account of the alteration made in the fcale by Lord Napier and: himfelf; and earneftly folicits other perfons to under¬ take the talk of filling up the intermediate numbers;, offering to give inftractions, and to afford paper ready ruled for the purpofe. He gives alfo inftnuftions at large in the preface for the conftruction of logarithmic tables. Thus he hoped to get the logarithms of the other 70,000 natural numbers completed; while be himfelf, being now pretty far advanced in years, might be at liberty to apply to the canon of logarithmic fines, &c. which was as much wanted by mathe¬ maticians as the others. His wilhes were accomplilhed: by Adrian Vlacq or Flack of Gouda in Holland, who completed the numbers-from 20 to 90,000; and thus the world was furnilhed with the logarithms of all na¬ tural numbers from 1 to 100,000; but thofe of Vlacq were only done to iq places of figures. To thefe was added a table of artificial fines, tangents, and fecants, to every minute of . the quadrant. Befides the great work, already mentioned, Mr Briggs completed a table of logarithmic fines and tangents for the 100th part of every degree, to 14 places, of figures befides the index; and a table of natural fines for the fame parts to 15 places, with the tangents and fecants to 10 places, and the methods of conftrufting them. He defigned alfo to have publiflied a treatife concernihg. the ufes and application of them, but died before this could be accompliflted. On his death-bed he recom¬ mended this work to Henry Gellibrand profeffor of* aftumom.|\ HiAory. L 0 G A II ailronomy in GrefTiam college, in which office he had fucceeded Mr Gunter. Mr Briggs’s tables above mfen- !. tioned were printed at Gouda, and publifhed in 1633 » and the fame year Mr Gellibrand added a preface with the application of logarithms to plane and fpherical trigonometry, the whole being denominated Trigono- metria Britannica : and befides the arcs in degrees and hundredth parts, has another table containing the mi¬ nutes and feconds anfwering to the feveral hundredth parts in the firft column. The Trigonometria Artificialis of Vlacq contains the logarithmic lines and tangents to 10 places of figures, to which is added Briggs’s firft table of logarithms from 1 to 20,000, befides the index : The whole pre¬ ceded by a defcription of the - tables, and the applica¬ tion of them to plane and fpheri'cal trigonometry, chief¬ ly extradited from Briggs’s Trigonometria Britannica al¬ ready mentioned. In 1635, Mr Gellibrand alfo pub- fifhed a work, intitled. An Injlitution Trigonometrical, containing the logarithms of the firft 10,000 numbers, with the natural fines, tangents, and fecants; and the logarithmic fines and tangents for degrees and minutes, all to feven places of figures befides the index; like- wife other tables proper for navigation, with the ufes of the whole. Mr Gellibrand died in 1636, in the 40th year of his age. A number of other people have publifhed books on logarithms, which we cannot now particularly enume¬ rate. Some of the principal are : 1. A treatife concerning Briggs’s logarithms of Common numbers from X to 20,000, to 11 places of fi¬ gures, with the logarithmic fines and tangents but only to eight places. By D. Henrion at Paris, 1626; 2. Briggs’s logarithms, with their differences to io places of figures, befides the index for all numbers to 100,000; as alfo the logarithmic fines, tangents, and fecants, for every minute of the quadrant, with the explanation and ufes in Englifh. By George Miller, Lond. 1631. 3. Trigonometria, hy Richard Norwood, 1631; con¬ taining Briggs’s logarithms from 1 to 10,000, as well as for the fines, tangents, and fecants to every minute, both to feveral places of figures befides the index. The author complains very much of the unfair pra&ices of both the former authors. 4. DireBorium Generqle Uranometricum; by Francis Bonaventure Cavalerius. Bologna, 1632. In this are Mr Briggs’s tables of logarithmic fines, tangents, fe¬ cants, and verfed fines each to eight placesof figures for every fecond of the firft 5 minutes, for every 5 fe¬ conds from 5 to xo minutes, for every 20 feconds from 20 to 30 minutes, for every 30 feconds from 30 minutes to 11- degree, and for every minute in the reft of the quadrant. It contains alfo" the logarithms of natural numbers from 1 to 10,000; with the firft table of Verfed fines that ever was publiihed. The author likewife gives the firft intimation of the method of finding the arcs or fpherical furface contained by various arcs de- feribed on the furface of a fphere. 5. In 1643 appeared the Trigonometria of the fame author, containing the logarithms of the natural num¬ bers from 1 to 1000, with their differences to eight places of figures; likewife a table of natural and loga¬ rithmic fines, tangents, and fecants; the former to feven, the latter to eight, places of figures; viz. to 1 T H M s. every 10" of the firft 30', to every 30" from 30' to 1 and the fame for their complements, or backwards thro’ the laft degree of the quadrant; the intermediate 88° being only to every minute. 6. TaluU Logarithmic#; by Mr Nathaniel Rowe, pa ftor of Benaire in Suffolk : Lond. 1633. In this work are Contained Briggs’s logarithms of natural numbers from 1 to 100,000, to eight places of figures; likewife the logarithmic fines and tangents to every Iooth part of degrees to ten places*, 7. Clavis Univerfa Trigonometric; Hamburg, 1634.' containing tables of Briggs’s logarithms from x to 2000; and of fines, tangents, and fecants, for every minute, both for feven places. 8-. Trigonometria Britannica, by John Newton, London, 1658. In this*the logarithmic tables of natural num¬ bers were reduced to their moft convenient form ; the author having availed himfelf of the labours of Win- gate and Roe, uniting their feveral methods, and difpo- fing of the whole as in the beft logarithmic tables ufed at ptefent. It contains likewife the logarithmic fines and tangents to eight figures befides the index ; for Cvery hundredth part of a degree, with the differences, and for thoufandth parts in the firft three degrees. He cenfures the unfair pradices of fome former pub- lifters of logarithms; particularly of Vlacq already mentioned. 9. Mathefis Nova,by JohnCaramual, 1670. This con¬ tained 1000 logarithms, both of the forms of Napier and Briggs, as well as 1000 of what he calls perfect loga¬ rithms, viz. thofe of Briggs’s firft method of conftruc- tion ; which differs from the laft only in this, that the laft increafes, whilft the firft deereafes; the radix or logarithm of the ratio of 10 to I being the very fame in both. 10. Sherwin’s Mathematical Tables, publifted in8vo, form the moft complete collection of any ; containing; befides the logarithms of all numbers to in,000, the fines, tangents-, fecants, verfed fines both natural and logarithmic, to every minute of the quadrant. The firft edition was printed in i 706 ; but the third, pub- lifted in 1742 and revifed by Gardiner, is looked upqp to be fuperior to any other. The fifth and laft edi¬ tion, publifted in 1771; is fo incorrect, that no depen¬ dence can be placed upon it; 10. Tables of logarithms from X to 102,100, and for the fines and tangents to every 10 feconds of each degree in the quadrant; as alfo for the fines of the firft 72 minutes to every fingle feCond, with other ufe- ful and neceffary tables. By Gardiner, London, 1742. This work contains a table of logiftical logarithms, and three fmaller tables to be ufed for finding the logarithms of numbers to 20 places of figures. Only a fmall num¬ ber of thefe tables was printed; and that by fubferip- tion; and they are now in the higheft efteem for ac¬ curacy and ufefulnefs. An edition of thefe tables wa: printed at Avignon in France in 1770, with the ad¬ dition of fines and tangents for every fingle fecond in the firft four degree , and a fmall table of hyperbolic logarithms, taken from a treatife Upon fluxions by the late Mr Thomas Simfon. The tables are to feven places of figures, but fomewhat lefs correct than thofe publifted by Gardiner himfelf. 11. An Antilogarithmic Canon for readily finding the number correfponding to any logarithm, was begun by the 1 “3 124 L O G A R Conftruc- the aTgebraifl Mr Harriot, who died in 162-1 ; and non of compitte, and let us fuppofe the point P to fet f out from a, deferibing the diftances ac. cd, dc, &c. in equal fpaces of time,, then will the line ao decreafe proportion¬ ably- In like manner,, the line oa, (fig. 12.) increafes proportionally, if the pointp, in equal times, defcribes the fpaces ac, cd, de,fg. See. fo that ac is to ao, cd, to co, dc Xocdo, See. in a conftant ratio. If we now fuppofe a point P deferibing the line AG (fig. 4.) with an uniform motion, while the point />. defcribes a line increafing or decreafing proportionally, the line I T H M S. Sea. II, AP, deferibed by P, with this uniform motion. In the Conftruo fame time that oa, by increafing or decreafing pro- t,on. portionally, becomes equal to op, is the logarithm of Lo°ar‘t in? op. Thus AC,. AD, A.E, &c. are the logarithms of or, od, oc. See. refpeclively: and 0a is the quanti¬ ty whofe logaritlun is fuppofed equal to nothing. We have “here abftra&ed from numbers, that the do&rine may he the more general 4 but it is plain, that if AC, AD, AE, &c. be fuppofed 1, 2, 3, Sec. in arithmetic progrefiion.; oc, od, oe. Sec. will be in geometric progreffion; and that the logarithm of oa, which may he taken for unity, is nothing. Lord Napier, in his fidl fcherae of logarithms, fup- pofes, that while op increafes or decreafes proportion¬ ally, the uniform motion, of the point P, by which the logarithm of op is generated, is equal to the velocity of p at a; drat is, at the term of time when the loga¬ rithms begin to be generated- Hence logarithms, formed after this model,, are called Napier's Logarithms, and fometimes. Natural Logarithms. When a ratio is given, the point p defcribes the dif¬ ference of the terms of the ratio at the fame time. When a ratio is duplicate of another ratio, the pointp defcribes the difference of the terms in a double time. When a ratio is triplicate of another, it defcribes the difference of the terms in a triple time; and fo on. Al- fo, when a ratio is compounded of two of more ratios, the point p defcribes the difference of the terms of that ratio in a time equal to the fum of the times in which it defcribes the differences of the tenns of the fimple ratios of which it is compounded.. And what is here faid of the times of the motion of p when op increafes proportionally, is to be applied to the fpaces deferibed by P, in thole times, with its uniform motion. Hence the chief properties of logarithms are dedu¬ ced. They are the meafures of ratios. Tire excefs of the logarithm of the antecedent above, the logarithm of the confequent, meafures the ratio of thofe terms. The meafure of the ratio of a greater quantity to a Idler is pofitive ; as; this ratio, compounded with any other ratio, increafes it. The ratio of equality, com¬ pounded with any other ratio, neither increafes nor di- minilhes it; and its meafure is nothing. The meafure of the ratio of a Idler quantity to a greater is nega¬ tive ; as this ratio, compounded with any other ratio, diminilhes it. The ratio of any quantity A to unity, compounded with the ratio of unity to A, produces the ratio of A to A, or the ratio of equality; and the meafures of thofe two ratios deftroy each other when added, together; fo that when the one is confidered as pofitive, the other is to be confidered as negative. By fuppofing the logarithms of quantities greater than oa (which is fuppofed to reprefent unity) to be pofitive, and the logarithms of quantities lefs than it to be ne¬ gative, the fame rules ferve for the operations by lo¬ garithms, whether the quantities be greater ox lefs than ao. When op increafes proportionally, the motion of p is perpetually accelerated; for the fpaces ac, cd, de. Sec. that are deferibed by it in any equal times that conti¬ nually fuccced after each other, perpetually increafe in the fame proportion as the lines oa, oc, od. Sec. When the point p moves from a towards 0, and op decreafes proportionally, the motion of p is perpetually retarded 4 for the fpaces deferibed by it in any equal times that 4 con- II. L O G A R nftruc- continually fucceed after each other, decreafe in this Tthn'sCa‘e *n t^ie ^ame proportion as op decreafes. ‘ If the velocity of the point p be always as the di* ftance op, then will this line iucreafe or decreafe in the manner fuppofed by Lord Napier; and the velocity of the point p being the fluxion of the line op, will al¬ ways vary in the fame ratio as this quantity itfelf. This, we prefume, will give a clear idea of the genefis or nature of logarithms; but for more of this dodtrine, fee Maclaurin’s Fluxions. The conftruCtion of his tables of logarithms was firft publifhed hi his pofthumous work of I (519. The conftru&ion of his canon was chiefly effected by gene¬ rating, in an eafy manner, a feries of proportional numbers, and their arithmeticals or logarithms; and then finding by proportion the logarithms of the na¬ tural lines from thofe of the neareft numbers among the original proportionals. Beginning then at the ra¬ dius 10,000,000, he firft conftructs feveral defcending geometrical feries, of fuch a nature that they are quick¬ ly formed by an eafy addition or fubtraction, or divi- fion by 2, to, 100, &c. His firft table confifts of proportionals in the ratio of 10,000,000 to 9,999,999; the method of doing which may be eafily underftood from the following example : Suppofe it were requi¬ red to find a feries of defcending proportionals in the ratio of too to 99 ; it may be done by adding two cyphers to each of the two firft terms, and continual¬ ly adding 1 to the decimal place fartheft to the right hand. Thus the firft term will be 100.00, the fecond 99.00, the third 98.01, the fourth 98.03, &c. Na¬ pier’s firft table contained 100 terms of a feries, as we already mentioned, in the proportion of 10,000,000 to 9,999,999. The firft term of which feries was 10,000,000.0000000 j the fecond 9,999^999.0000000; the third was 9,999,998.0000001, and fo on till the tooth term, which.was 9,999,900.0004950. The fecond table confiftedof 50 numbers nearly in the pro¬ portion of 100,0001099,999 ;. and this was formed by fubftituting the units 1, 3, &c. in thy third decimal place inftead of the laft place towards the right hand. The reafon of conllrufting this table was, that he might have a feries in the proportion of his firft term of the for¬ mer to the laft term of it,.wz. of 100,0001099,999; and the laft of the fecond feries was 9995001.222927. In all thefe feries the method of finding the terms is exaflly the fame. Thus in. the firft example, where we begin with too, each term decreafes by the 100th part of the former ; and this loothpart is found by removing the number two places of figures lower, and fubftrafting them from the former terms.. Thus 99 is lefs than too by unity, which is the tooth part of the latter; the next term is lefs than 99 by the tooth part of 99, and is therefore 98.01. But the divifion by 100 can be performed, without any trouble, only fetting the decimal point two places farther forward, as that by 10 is performed by fetting it one place far¬ ther forward ; thus p-Morr.9,; 99 —100^2.99, Now by fubtra&ing 99 from too, we have 98.Ox for the third termoftheferies. Tofindthefourthtermthen,removethe decimal point two figures farther to the right hand, and fubtradl it from the former; and we have then 97.0299 for the fourth term of the feries. Thus we fee, that the number of decimal places muft continually increafe; but as in this feries we want no more than two decimal I T H M S. 125 places -inftead of 97,0299, the term is nvule 97.03, Conflrnc- as the neareft number which has only two decimal places, t‘on.,lf and differs from the truth only by one thoufandth part j0Sa^‘' In like manner, in the long firing of ciphers, the fourth term of the feries diff ers fomewhat, but very little, from the truth : and this muft: always be the cafe while the radius is fuppofed to confiit of any finite number o£ parts; though, by going on for a very long time in this way, the error, by being continually repeated and augmented at every term, would at laft become percep¬ tible; and therefore none of thefe ferie.s are carried on t,o.a very great length. Hb next ftep was to conftruft a third table confift- ing of 69 columns, and each column of 21 numbers or terms in the continual proportion of 10000 to 9995 p that is, nearly as the firft term of the fecond table is to its laft term. As this proportion is the 2000th of thtt whole, the method of finding the terms will be by di¬ viding each upper number by 2, and removing the figures of the quotient three places lower, and then fubtracting them. In this way, however, it is proper to colledt only the firft column of 21 numbers, the laft of which-, will be 9900473.5780: but the firft, fecond, and third,. &c. numbers in all the other columns are in thecontinuaT proportion of 100 to 99, ot nearly of the firft to the laft in the firft column.; whence thefe are to be found by removing the figures two places lower, and then fubtrading them, as has already been explained. By thefe three tables, his lordlhip was furniihed with about 1600 proportionals, nearly coinciding with all the natural feries from 90 to 30 degrees. To obtain the logarithms of thofe proportionals* he demonftrated' and applied fome of the properties and relations of the numbers and logarithms; the principal of which are, 1. That the logarithm of any fine is greater than the difference between that fine and the radius, but lefs than that difference when increafed in the proportion of the fine to the radius. 2. That the difference be¬ tween the logarithms of two fines is lefs than the dif¬ ference of the fines increafed in the proportion of the leffer fine to the radius, but greater than the difference of the fines xncreafed in the proportion of the greater fine to the radius.. Thefe properties now ferved him as theorems for. finding the logarithms themfelves in an eafy manner. From the firft of them it appeared, that the radius being io,co: ,ooo, the firft term of the table, the logarithm of 9,999,999, the fecond term, muft be greater than the difference betwixt that term and the radius, which is 1, but lefs than the dif¬ ference when increafed in the proportion of the fine to the radius;, but this proportion is only one ten mil¬ lionth part, for 9,999,999X1.0000001= 10,000,00c ; whence the logarithm of the radius or 10,000,000 being o, the logarithm of 9,999,999 the fecond term will be between 1 and l.coooooi, or very nearly 1.00000005, this being the arithmetical mean betwixt 1 and i.oooocoi. This will alfo be the common dif¬ ference betwixt every two fucceeding terms in the firft table ; becaufe all the terms there are in the fame pro¬ portion, of 10,000,000. 409,999,999. Hence by the continual addition of this logarithm we have the loga¬ rithms of the whole feries, and therefore that of the laft term of the feries viz.. 9999900.0004950 will be i„o.ocoo5. The fecoud tabic, as we have already faid, confifts 0« lag L O G A R Conftruc- of a ferics of numbers in the continual proportion of Z o^011' ioooooto9999gwhencethefirfl.term being 10,000,000 ^ogam fecon^ vvill be 9,999,900; the difference betwixt this and the laft term of the former feries is .0004950. But by the fecond theorem, the difference between the logarithms of 9,999,900.0004950 and 9,999,900, the fecond term of the fecond table, vvill be lefs than .0004950, increafed in the proportion of 99999 to 1 oocoo, but greater than .0004950, increafed in the proportion of 9,999,900.0004950 ; that is to fay, if vve augment .0004950 by one hundred thoufandth part, it will be greater than the difference betwixt the loga¬ rithms of the two terms. The limits, therefore, are ■here fo extremely fmall, that we tnay account the dif¬ ference betwixt the two terms and that of the loga¬ rithms themfelves the fame : adding therefore this dif¬ ference.0004950 to 100.000005, wehave 100-0005000 for the logarithm of the fecond term, and likewife for the common difference of all the logarithms of the terms of the fecond table. - Again, by the fame theorem, the difference between the logarithms of this laft propor¬ tional of the fecond table and the fecond terrfl in the fir ft column of the third table, will be found to be 1.2235287; which added to the laft logarithm, gives 5001.2485387 for the logarithm of 9,995,000, the fecond term of the third table : and in a fimilar manner, by the fame theorem, he finds the logarithms of all the other terms of the reft of the columns. Thus our author completed what he calls his radi¬ cal table, from which he found his logarithmic fines by taking, according to the fecond theorem, the fum and difference of each tabular fine, and the neareft num¬ ber in the radical table. Annex then feven ciphers to the difference; divide the number by the fum, and half the quotient will be the difference between the lo¬ garithms of the tabular fine and radical number ; and confequently, by adding or fubtracting this difference to or from the logarithm of the natural number, we have the logarithmic fine required. In this manner were completed the logarithmic fines from radius or fine of 90° to the half of it, or fine of _30J. To complete the other 30°, he obferves, that the logarithm of the ratio of 2 to 1, or of one half the radius, is 6931469.22 ; that of the ratio of 4 to I is double of it; that of 8 to 1, triple of it, &c. ; ■ arid thus going on to compute the logarithms of the ratio between 1 and 40, 80, ioo> &c. to 10,000,000: then multiplying any given fine for an arc lefs than 30° by fpme of thefe numbers, he finds the produdl nearly equal to fome number In the table ; and then finds the logarithm by the fecond theorem as already direfted. Another, and much eafier method, however, of per¬ forming the fame thing is founded upon the following proportion, which he demonftrates, viz. that as half the radius is to the fine of half an arc, fo is the co* fine of the half arc to the fine of the whole arc ; or as one half the radius is to the fine of any arc, fo is the cofine of that arc to the fine of double the arc. Hence the logarithmic fine of an arc is found by add¬ ing the logarithms of half the radius and the fine of double the arc, and then fubtrafting the logarithmic cofine from the fum. In this way, he obferves that the fines for full one half of the quadrant may be found, and the remainder by one cafy divilion, or 1 T H M S. Sea.lt.il addition and fubtra&ion for each, as already direft- Conftroc. | . don of | ea' Logarithms | §. 2. Kepler's met had of conftrvBion. u—y—w This was founded upon principles nearly fimilar to that of Napier. He firft of all eredls a fyftem of pro¬ portions, and the meafures of proportion, founded up¬ on principles purely mathematical; after which he ap¬ plies thefe principles to the conftruflion of his table, containing only the logarithms of 1000 numbers. The propofitions on which his method is founded are in fub- ftance the following. x. All equal proportions equal among themfelves are expreffed by the fame quantity, be the terms many or few ; as the proportion of 2, 4, 8, &c. in geome¬ trical progrefilon is expreffed by 2 ; and of 2, 6, 18, 54, &c. by 3. 2. Hence the proportion of the extremes is com- pofed of all the proportions of the intermediate terms ( thus the proportion of 2 to 8 its compounded of that 2 to 4, and of 4 to 8. 3. The mean proportional betwixt two terms di¬ vides that proportion into two equal ones. Thus the proportion between 2 and 32 is divided by the mean proportional 8 into two equal proportions of 4; for 2 is to 8, as 8 is to 32. 4. In any number of proportionals regularly in- crCafing, the means divide the proportion of the ex¬ tremes into one more than their own number. Thus, in the feries 2, 4, 8, 16, the proportion of the extremes 2 and 16 is by the two means 4 and 8, divided into three proportions, viz. that betwixt 2 and 4, 4 and 8* 8 and 16. In like manner, in the feries 3, 6, 18, 54, 162, 486, the proportion betwixt 3 and 486 is divided by the four means into the five proportions of 3 to 6; 6 to 18 ; 18 to 54 ; 54 to 162 ; and 162 to 486. 5. The proportion betwixt any two terms is divi- fible into any number of parts, until thefe become lefs than any afiignable quantity. Thus the proportion of 2 to 8 is divifible, by multiplying the two together and extra&ing the fquare root, into two parts by thef number 4: by multiplying 2 and 4 together, and ex- tradling the fquare root, and doing the fame with 4 and 8, the proportion would be divided into four parts, viz. 2.y'S. 4.v/'32.8 ; or in numbers, 2 : 2.813, &c. ! 4 : 5.655, &c.: 8, _ # 6. By dividing the ratios in this manner, the ele¬ mentary part will become at laft fo fmall, that it may be denominated by the mere difference of terms of that element. This is evident from the diminution of the ratios or proportions already inffanced: for the pro¬ portion between 2 and 2.813 is only 1.406, &c. and if we were to find a mean proportional betwixt 2 and 2.813, the ratio betwixt that proportional and 2 would be much lefs. But it muff always he remembered, that fuch evanefeent quantities, as they are called, cannot give us any conclufion with abfohxte exaftnefs, how¬ ever they may anfwer every ufeful purpofe to us : for it is evident that neither mean proportional nor ratio can ever be found exaftly ; and therefore the error ac¬ cumulated in all the operations muff become very con- fiderable, if any circumftance lliall happen to make it appear. 7. In three continued proportionals, the difference 6 lea. II. L O G A R rConftruc- of the two firft has to the difference between the .a tl0n- 0u two t^ie ^ame proportion that the firft term has •jogant t^e jfecontj) or ^he fecond to the third. Thus, in the three terms, 4, 8, 16, the difference between the two firft terms 4 and 8, viz. 4, is in proportion to 8 j and the difference between the two laft, as 4 is to 8, or 8 to 16. 8. In continued proportionals, the greateft terms have the greateft differences, and vice verfa. Thus the difference between 8 and 16 is evidently greater than between 2 and 4 or 4 and 8. 9. If the difference betwixt the two greateft terms be made the meafure of the proportion between them, the difference between any two others will be lefs than the true meafure of their proportion. Thus in the feries 4, 2, 1, &c. where the difference 2 betwixt the two greateft terms expreffes their true proportion, it is plain, that the difference 1 betwixt 2 and 1 is lefs than their ratio, as well as between i and &c. 10. In any feries of proportionals, if the difference betwixt the greateft term and one not immediately next to it, be taken as the meafure of the proportion, then the proportion betwixt the greateft term and any other greater than the term before taken, will be lefs than the difference of thofe terms; but the proportion which is between the greateft term and any one lefs than that firft taken, will be greater than their difference. As proportionals of this kind do not readily occur, we (hall, in order to avoid ©bfcurity, ftiow once for all, that there is a poflibility of finding geometrical proportionals of fuch a nature, that the ratio may be equal to the difference betwixt the greateft and third, or any other term diftant from it. Thus let us be¬ gin with any two numbers we pleafe, fuppofe 9 and 1 o: though thefe are in tlve natural arithmetical pro¬ portion, yet if we make the ratio i-in, they willalfo be geometrically proportional, and the feries will run thus: 1 ft 2d 3d 4th 5th 6th term term term- term term term 10 : 9 : 8.099 t 7.289 : 6.560 : 5.904, &c. Here the difference betwixt the firft and third terms is 1.901, which is greater than the ratio; that be¬ twixt the fecond and fourth, viz. 1.711, is ftill greater, but nearer to it than the former; the difference be¬ tween the third and fifth terms, viz. 1.539, ftill ap¬ proximates, as does that between the fourth and.fixth, viz. 1.385: and indeed by continuing this feries tmly for two terms longer, the difference will become Imaller than the ratio. It is not worth while, howr ever, to feek for feriefes of this kind, as the prefent propofition will now befufficiently intelligible, without any farther illuftration. 11. If. quantities be arranged according to the or¬ der of their magnitudes, and if any two fucceffive pro¬ portions of thefe be equal, the three fucceffive terms which conftitute them will alfo be equal. Thus, if the two quantities 12 and 8 conftitute the proportion V, and each of them be leffened by 6, the half of *2, we have the proportion 4? which is more than ’double the original proportion ; , for t = 3j and ^ X T > ~ I = • 12. When quantities are placed in the order of their magnitudes, if the intermediate magnitudes lying be¬ tween any two terms be not among the mean proportio- I T H M S. *27 nals which can be interpofed betwixt thefe two terms, Conftruc- then thefe intermediates will not divide the proportion of thofetwotermsintocommenfurableproportions. Thus °ga 1 in the magnitudes 343 : 216 : 125 : 64 : 27 : 8, neither of the two intermediate terms 125 and 64 are mean pro¬ portionals betwixt 27 and 216, nor do they divide the proportion betwixt thefe into commenfurable parts. 13. All the proportions taken in order, which are between expreffible terms that are in arithmetical pro¬ portion, are incommenfurable to one another ; as be¬ tween 8, 13, and 18. 14. When quantities are placed in the order of their magnitude, if the difference between the two greateft be made the'meafure of their proportion, the difference between any two others will be lefs than the meafure of their proportion ; .and if the difference between the two leaft terms be made the meafure of their proportion, the differences of the reft will be" greater than the meafure of the proportion between their terms. 15. If the meafure of proportion between the great¬ eft exceed their difference, then the proportion of this - meafure to the difference will be lefs than that of a following meafure to the difference of its terms ; be- caufe proportionals have the faipe ratio. 16. If three equidifferent quantities are taken in order, the proportion between the extremes is more than double that betwixt the two greater terms. Hence it follows, that half the proportion of the extremes is greater than the proportion between the greateft terms, but lefs than the proportion of the two leaft. 17. If two quantities conftitute a proportion, and each be leffened by half the greater, tire remainder will conftitute a proportion more than double the former. 18. If 1000 numbers follow one another in the na¬ tural order, 1000, 999, 998, &c. and by continual multiplication and extraction of the fquare root we find mean proportionals, and thus iifefi, ■ as it is called, the ratio between the two greateft, fo that the parts into which the ratio is divided become ultimately fmaller than the excefs of proportion betwixt the next two over the former (for 998 bears a greater propor¬ tion to 999 than 999 bears to 1000); the meafure of this very fmall part or element of the proportion may be fuppofed to be the difference between 1000 and that mean proportional which is the other term of the element. Thus, for the fake of an eafy explanation, let us fuppofe the numbers to be 10, 9, 8, &c. the ratio of 9 to 10 is l.il, that of 9 to 8 is 1.125, the difference between which is .014, which we may call the elementary part of the ratios. By fix extractions of the fquare root we have the mean proportional 9,985, &c. differing from 10 by no more than .015, which is very near the element juft mentioned. The number of parts into which the ratio is thus divided is expreffed by the 6th. power of 2 or 64. Dividing- therefore the ratio between 9 and 10 or 1.11 by 64, we have .017 for the elementary part thus obtained; which near coincidence with the real element, and the difference between 10 and the mean proportional itfelf, fliows that in large numbers we may take the difference between the mean proportional and" greateft term for the elementary part without any fen- fible error. Suppofe now, that the proportion between 1000 and. 'nS LOG Confti-uc- an(l be divided into twice the number of parts Lwaikhni*^at t^e ^orrner waR> it w‘h be equally plain that the \ difference betwixt 1000 and the next mean propor¬ tional will be the meafure of that element. Proceed¬ ing in like manner with the other numbers 1000 and 997, 1000 and 996, &c. it is evident, that by divi¬ ding into a proper number of parts, all the elements will be reduced; to an equal degree of jinenefs, if we may fo call it, and in calculations may be made ufe of without any fear of error. 19. The number of elementary parts being thus known which are contained in any proportion, it will be eafy to find the ratios between thofe numbers which are in continued proportion to the firft term of the feries. Thus, having found the proportion between 1000 and 90O, we know alfo that of 1000 to 810, and 729 ; And from 1000 to 800, alfo 1000 to 640, and to 512 ; And from 1000 to 700, alfo 1000 to 490, and to 343 ; And from rooo to 600, alfo 1000 to 360, and to 216 $ And from 1000 to 500, alfo 1000 to 250, and to 125. Carol. Hence arifes the precept for fquaring, cubing, &c.; as alfo for extracting the fquare root, cube root, &c. out of the firfi: figures of numbers. For it will be, As the greateft number of the chiliad as a denominator, is to the number propofed as a numera¬ tor, fo is this to the fquare of the fra&ion, and fo is this to the cube. 20. Prop. The proportion of a number to the firft, or 1000, being known; if there be two other numbers in the fame proportion to each other, then the proportion of one of thefe to 1000 being known, there will alfo be known the proportion of the other to the fame 1000. Carol. 1. Hence from the 15 proportions mention¬ ed in prop. 18. will be known 120 others below 1000, to the fame 1000. For fo many are the proportions, equal to fome one or other of the faid 15, that are among the other in¬ teger numbers which are -lefs than 1000. Coro!. 2. Henoe arhfes the method of treating the Rule-of-Three, when 1000 is one of the given terms. For this is effefted by adding to, or fubtra&ing from, each other, the meafures of the two proportions •of 1000 to each of the other two given numbers, ac¬ cording as 1000 is, or is not, the firft term in the Rule-of-three. 21. Prop. When four numbers are proportional, the Sea. II. firft to the fecond as the third to the fourth, and the Conftruo- proportions of 1000 to each of the three former are t!°n J known, there will alfo be known the proportion 0f ^garahmi. 1000 to the fourth number. Coral, x. By this means other chiliads are added to' the former. Corol. 2. Hence arifes the method of performing the Rule-of-three, when 1000 is not one of the terms. Namely, from the fum of the meafures of the propor¬ tions of 1000 to the fecond and third, take that of 1000 to the firft, and the remainder is the meafure of. the proportion of 1000 to the fourth term. Dejinition. The meafure of the proportion between IOOO and any lefs number* as before deferibed, and exprefled by a number, is fet oppofite to that lefs number in the chiliad, and is called its logarithm, that is, the number indicating the proportion (wyov) which 1000 bears to that number, to which the logarithm is annexed. 22. Prop. If the firft or greateft number be made the radius of a circle, or Jinus totus; every lefs number confidered as the cofine of fome arc, has a logarithm greater than the verfed fine of that arc, but lefs than the difference between the radius and fecant of the arc ; except only in the term next after the radius, or greateft term, the logarithm of which by the hypo- thefis is made equal to the verfed fine. That is, if CD be made the loga¬ rithm of AC, or the meafure of the proportion of AC to AD; then the meafure of the proportion of AB to AD, that is, the logarithm of AB, will be greater than BD, but lefs than EF. And this is the fame A BCD as Napier’s firft rule in page 44. 23. Prop. The fame things being fuppofed ; the fum of the verfed fine and excefs of the fecant over the ra¬ dius, is greater than double the logarithm of the co¬ fine of an arc. Corol. The logarithm cofine is kfs than the arith¬ metic mean between the verfed fine and the excefs of the fecant. Precept 1. Any fine being found in the canon of fines, and its deleft below radius to the excefs of the fecant above radius ; then (hall the logarithm of the fine be lefs than half that fum, but greater than the faid defeft or coverfed fine. Let there be the fine 99970.1490 of an arc ; Its defeft below radius is 29.8510 the covers, and lefs than logarithm fine; Add the excefs of the fecant 29.8599 A R I T H M S, Therefore the logarithm is between Precept 2. The logarithm of the fine being found, you will alfo find nearly the logarithm of the round or integer number which is next lefs than your fine with a fraftion, by adding that (raft ional excefs to the lo¬ garithm of the faid fine. Thus the logarithm of the fine 99970.149 is found to be about 29.854 ; if now the logarithm ef the round N0 184. 29.8510 and 29.8555. number 99970*000 be required, add 149 the fractional part of the fine to its logarithm, obferving the point, thus, 29*854 )' 149 / is the logarithm of the round num- C ber 999700.000 nearly. the fum 30.003 J 24. Prop. Of three equidifferent quantities, the mea¬ fure Sum 59.7109 Its half or .29.8555 greater than the logarithm, i Jea.II. cConftruc- fUre of the proportion between the two greater terms, i tion of w;th the meafure of the proportion between the two jiogant ms |eps terms, will conftitute a proportion which will be greater than the proportion of the two greater terms, but lefs than the proportion of the two leaft. Thus if AB, AC, AD, be three quantities having the equal differences BC, CD ; and if the meafure of the * ' —' -* proportion of AD, AC be cd, and that of AC, AB, be be ; then the —i proportion of cd to cb will be great¬ er than the proportion of AC to AD, but lefs than the proportion of AB to AC. 25. Prop. The faid proportion between the two meafures is lefs than half the proportion betwaen the extreme terms: that is, the proportion between be, cd, is lefs than half the proportion between AB, AD. Carol. Since therefore the arithmetical mean divides the proportion into unequal parts, of which the one is greater and the other lefs than half the whole ; if it be enquired what proportion is between thefe propor¬ tions, the anfwer is, that it is a little lefs than the faid half. An example of finding nearly the limits, greater and lefs, to the meafure of any propofed proportion.—It be¬ ing known that the meafure of the proportion be¬ tween 1000 and 900 is 10536.05, required the mea¬ fure of the proportion 900 to 800, where the terms 1000, 900, 800, have equal differences. Therefore as 9 to 10, fo 10536.05 to 11706.72, which is lefs than 11778.30, the meafure of the proportion 9 to 8. Again, as the mean proportional between 8 and 10 (which is 8.9442719) is to 10, fo 10536.05 to 11779.66, which is greater than the meafure of the proportion between 9 and 8. Axiom. Every number denotes an expreflible quan¬ tity. 26. Prop. If the 1000 numbers, differing by 1, fol¬ low one another in the natural order, and there be taken any two adjacent numbers, as the terms of fome proportion ; the meafure of this proportion will be to the meafure of the proportion between the two greateft terms of the chiliad, in a proportion greater than that which the greatell term 1000 bears to the greater of the two terms firll taken, but lefs than the propor¬ tion of 1000 to the lefs of the faid two felefted terms. So of the 1000 numbers taking any two fucceffive terms, as 501 and 500, the logarithm of the former be¬ ing 69114.92, and of the latter 69314.72, the diffe¬ rence of which is 199.80. Wherefore by the defini¬ tion, the meafure of the proportion between 501 and 500 is 199.80. In like manner, becaufe the logarithm of the greateft term .1000 is o, and of the next 999 is 100.05, t^e difference of thefe logarithms, and the meafure of the proportion between 1000 and 999, is ID0.05. Couple now the greateft term 1000 with each of the felefted terms 501 and 500; couple alfo the meafure 199.80 with the meafure 100.05 ; fo lhall , Vol.X. Parti. !29 the proportion between 199.80 and 100.05 be greater Conftnic- than the proportion between 1000 and 501, but lefs 1 "ithmt than the proportion between 1000 and 500. g ^ Carol. 1. Any number below the firft 1000 being , propofed, as alfo its logarithm; the differences of any logarithms antecedent to that propofed, towards the beginning of the chiliad, are to the firft logarithm (viz. that which is affigned to 999) in a greater pro¬ portion than 1000 to the number propofed ; but of thofe which follow towards the laft logarithm, they arc to the fame in a lefs proportion. Corol. 2. By this means the places of the chiliad may eafily be filled up, which have not yet had loga¬ rithms adapted to them by the former propofitions. 27. Prop. The difference of two logarithms, adapt¬ ed to two adjacent numbers, is to the difference of thefe numbers in a proportion greater than lopo bears to the greater of thofe numbers, but lefs than that of 1000 to the lefs of the two numbers. This 27th propofition is the fame as Napier’s fecond rule. 28. Prop. Having given two adjacent numbers of the 1000 natural numbers, with their logarithmic in¬ dices, or the meafures of the proportions which thofe abfolute or round numbers conftitute with 1000 the greateft ; the increments or differences of thefe loga¬ rithms will be to the logarithm of the fmall element of the proportions, as the fecants of the arcs whofe co¬ fines are the two abfolute numbers is to the greateft number, or the radius of the circle : fo that, however, of the faid two fecants, the lefs will have to the radius a lefs proportion than the propofed difference has to the firft of all, but the greater will have a greater pro¬ portion, and fo alfo will the mean proportional between the faid fecants have a greater proportion. Thus if BC, CD be equal, alfo bd the logarithm of AB, and cd the lo¬ garithm of AC ; then the proportion of be to cd will be greater than the proportion of AG to AD, but lefs than that of AF to AD, and alfo lefs than that of the mean proper-A j? tional between AF and AG to AD. i J~!/ Corol. I. The fame obtains alfo when the two terms differ, not only by the unit of the fmall element, but by another unit which may be ten fold, a hundred fold, or a thoufand fold of that. Corol. 2. Hence the differences will be obtained fuf- ficiently exaft, efpecially when the abfolute numbers are pretty large, by taking the arithmetical mean be¬ tween two fmall fecants, or (if you will be at the la¬ bour) by taking the geometrical mean between two larger fecants, and then by continually adding the dif¬ ferences, the logarithms will be produced. Corol. 3. Precept. Divide the radius by each term of the affigned proportion, and the arithmetical mean (or ftill nearer the geometrical mean) between the quo¬ tients will be the required increment, which being add¬ ed to the logarithm of the greater term, will give the logarithm of the lefs term. LOGARITHMS. R Example* *3© Conftruc- tion of Logarithm* LOGARITHMS. Example. Let there be given the logarithm of 700, viz. 35667.4948, to find the logarithm to 699. Here radium divided by 700 gives 1428571, &c. and divided by 699 gives 1430672, &c. the arithmetic mean is 142.962 which added to 35667.4948 Sea. ir. gives the logarithm to Carol. 4. Precept for the logarithms of fine;. The increment between the logarithms of two fin es is thus found : find the geometrical mean between the cofecants, and divide it by the difference of the fines, the quotient will be the difference of the logarithms. Example. o° 1' fine 2909 cofec. 343774682 o 2 fine 5818 cofec. 171887319 dif. 2909 geom. mean 2428 nearly. The quotient 80000 exceeds the required incre¬ ment of the logarithms, becaufe the fecants are here fo large. Appendix. Nearly in the fame manner it may be fhown, that the fecond differences are in the duplicate proportion of the firft, and the third in the duplicate of the fecond. Thus, for inftance, in the beginning of the logarithms, the firft difference is 100.00000, viz. equal to the difference of the numbers 100000.00000 and 99900.00000 ; the fecond, or difference of the dif¬ ferences, xoooo; the third 20. Again, after arriving at the number 50000.00000, the logarithms have for a difference 20c.00000, which is to the firft difference as the number 100000.00000 to 50000.00000 ; but the fecond difference is 40000, in which 10000 is con¬ tained four times; and the third 328, in which 20 is contained fixteen times. But fince, in treating of new matters, we labour under the want of proper words, wherefore, left we fhould become too obfcure, the de- monftration is omitted untried. 29. Prop. No number expreffes exaftly the meafure of the proportion between two of the rooo numbers conftituted by the foregoing method. 30. Prop. If the meafures of all proportions be ex- preffed by numbers or logarithms ; all proportions will not have affigned to them their due portion of meafure, to the utmoft accuracy. 31. Prop. If to the number 1000, the greateft of the chiliad, be referred others that are greater than it, and the logarithm of 1000 be made o, the logarithms belonging to thofe greater numbers will be negative. This concludes the firft or fcientific part of the work; the principles of which Kepler applies, in the fe¬ cond part, to the a&ual conftru&ion of the firft 1000 logarithms, which is pretty minutely defcribed. This part is intitled A very compendious method of conjlruEting the Chiliad of Logarithms ; and it is not improperly fo called, the method being very concife and eafy. The fundamental principles are briefly thefe : That at the beginning of the logarithms, their increments or diffe¬ rences are equal to thofe of the natural numbers : that the natural numbers may be confidered as the decreafing cofines of increafing arcs: and that the fecants of thofe arcs at the beginning have the fame differences as the cofihes, and therefore the fame differences as the loga¬ rithms. Then, fince the fecants are the reciprocals of the cofines, by thefe principles and the third corol. to the twenty-eighth propofition, he eftablifhes the fol- 5 699 35810.4568 lowing method of conftituting the 100 firft or fmalleft logarithms to the 100 largeft numbers, 1000, 999, 998, 997, &c. to 900, viz. Divide the radius 1000, in- creafed with feven ciphers, by each of thefe numbers feparately, difpofing the quotients in a table, and they will be the fecants of thofe arcs which have the divifors for their cofines ; continuing the divifion to the 8th figure, as it is in that place only that the arithmetical and geometrical means differ. Then, by adding fuc- ceffively the arithmetical means between every two fuc- ceffive fecants, the fums will be the feries of logarithms. Or, by adding continually every two fecants, the fuc- ceffive fums will be the feries of the double loga¬ rithms. Befides thefe 100 logarithms thus conftru&ed, he conftitutes two others by continual bife&ion or extrac¬ tions of the fquare root, after the manner defcribed in the fecond poftulate. And firft he finds the logarithm which meafures the proportion between 100000.00 and 97656.2;, which latter term is the third proportional to 1024 and 1000, each with two cyphers ; and this is effected by means of twenty-four continual extractions of the fquare root, determining the greateft term of each of twenty-four claffes of mean proportioqals ; then the difference between the greateft of thefe means and the firft or whole number 1000, with ciphers, being as often doubled, there arifes 2371.6526 for the loga¬ rithm fought, which made negative is the logarithm of 1024. Secondly, the like procefs is repeated for the proportion between the numbers 1000 and 500, from which arifes 69314.7193 for the logarithm of 500 ^ which he alfo calls the logarithm of duplication, be¬ ing the meafure of the proportion of 2 to 1. Then from the foregoing he derives all the other logarithms in the chiliad, beginning with thofe of the prime numbers 1, 2, 3, 5, 7, See. in the firft too- And firft, fince 1024, 512, 256, 128,64, 32, 16, 8, 4, 2, 1, are all in the continued proportion of 1000 to 500, therefore the proportion of 1024 to 1 is decuple of the proportion of 1000 to 500, and confequently the logarithm of 1 would be decuple of the logarithm of 500, if o were taken as the logarithm of 1024 ; but fince the logarithm of 1024 is applied negatively, the logarithm of I mull be diminiflied by as much : dimi- niThing therefore ic times the logarithm of 500, which is 693147.1928, by 2371.6526, the remainder 69077 5.5422 is the logarithm of 1, or of 100,00 what is fet down in the table. And becaufe 1, 10, 100, I Nos. Logarithms, j I coo, are continued proportion-I too 230258.5141 als, therefore the proportion of} 10 46051 7.0282J 1000 to I is triple of the pro- 1 690775.5422! portion of 1000 to 100, and .1 921034.0563^ confequently-j-of the logarithm ' .01 1151292.5703I of 1 is to be put for the loga- .001 1381551.0844I rithmof 100,viz. 230258.5141, |.oooi 161x809.5985} and this is alfo the logarithm of decuplication, or of the proportion of 1 o to 1. And hence Sea. II. LOGARITHMS. *3* C«nftruc- hence multiplying this logarithm of 100 fuccdfively by bers in all not compofed of the produ&s of any before Confirm;. Logarithms2’ 3’ 4> 5» 6* »nd 7> there arife the logarithms to the them, and the logarithms of which he dire&s to be de- tion.of . ° nimiVif>rK in thp Hprnnle nrnnnrtion. ns nnHpiv in rl.io m-!tl.w,~ . 1 ,-r Logarithm* numbers in the decuple proportion, as under. Alfo if the logarithm of 69°775-5422 69314-7'93 621460.8229 460517.028 rived in this manner ; namely, by confidering the dif-1. ferences of the logarithms of the numbers interfperfed among them ; then by that method by which were conftituted the differences of the logarithms of the fmalleft 100 numbers in a continued feries, we are to proceed here in the difeontinued feries, that is, by prop. 28th, corol. 3d, and efpecially by the appendix to it, if it be rightly ufed, from whence thofe diffe¬ rences will be very eafily fupplied. $ 3. Mr Briggs's Method. The methods principally made ufe of by this gentle¬ man were publifhed in Napier’s pofthumous work. Ha¬ ving fuppofed o to be the logarithm of 1, and i with duplication, or of the propor-J^og. of tion of 2 to r, be taken from of 2 to 1 the logarithm of x, there wilf log. of 2 remain the logarithm of 2 ;jlog. of ic and from the logarithm of 2j of 5 to 1/160943.7948 taking the logarithm of xo,| j of there remains the logarithm ef the proportion of 5 to 1 ; which taken from the lo¬ garithm of 1, there remains the logarithm of 5. See the margin. For the logarithms of other prime numbers, he has recourfe to thofe of fome of the firft or greateft cen- _ o tury of numbers, before found, viz. of 999, 998, 997, any number of ciphers annexed, fuppofe 10 to be the &c. And firft, taking 960, whofe logarithm is logarithm of 10, this number is to be divided ten 4082.2001 ; then by adding to this logarithm the lo- times by 5, which in a logarithmic number is equiva- garithm of duplication, there will arife the feveral lo- lent to the extraction of the root of the fifth power; garithms of all thefe numbers, which are in duplicate by which means he obtains the following numbers, proportion continued from 960, namely 480, 240, 120, viz. 2 with nine ciphers to it; 4 with eight ciphers ; 60, 30, 15. Hence the logarithm of 30 taken from 8 with feven ciphers; 16 with fix ciphers; 32 with the logarithm of 10, leaves the logarithm of the pro- five ciphers; 64 with four; 128000, 25600, 5120, portion of 3 to 1 ; which taken from the logarithm of and 1024. Dividing this laft logarithm ten times by 1, leaves the logarithm of 3, viz. 580914.3106. And 2, we have a geometrical feries of ten numbers; the the double of this diminifhed by the logarithm of I, c“il - L 1 - ’ ’ gives 47 10, 53.0790 for the logarithm of 9. Next, from the logarithm of 990, or 9 X 10 X 11, which is X005.0331, he finds the logarithm of 11 ; namely, fubtraft the fum of the logarithms of 9 and 1 o from the fum of the logarithm of 990, and double the logarithm of 1, there remains 450986.0106 the logarithm of Ii. Again, from the logarithm of 980, or 2 X 10 X 7 X 7, which is 2020.27x1, he finds 496184.5228 for the logarithm of 7. And from 5129.3303 the logarithm of 950 or 5 X 10 X 19, he finds 396331.6392 for the logarithm of 19. In like manner the logarithm to 998 or 4 X 13 X 19, gives the logarithm of 13 ; to 969 or 3 X 17 X 19, gives the logarithm of 17 ; to 986 or 2 X 17 X 29, gives the logarithm of 29 ; to 966 or 6 X 7 X 23, gives the logarithm of 23 ; to 930 or 3 X 10 X 31, gives the logarithm 0131. And fo on for all the primes below 100, and for many of the primes in the other centuries up to 900. After which he direfts to find the logarithms of all numbers compofed of thefe, by the proper addition and fubt radii on of their logarithms, namely, in finding the logarithm of the product of two numbers, from the fum of the logarithms of the two factors take the lo¬ garithm of 1, the remainder is the logarithm of the produdt. In this way he (hows, that the logarithms of all numbers under 500 may be derived, except thofe of the following 3 6 numbers, namely 127,149,167,173, 179, 211, 223, 251, 257, 263', 269, 271, 277, 281, 283, 293, 337, 347, 349, 353, 359, 367, 373, 379, 383» 389» 397* 4OI» 4°9> 4I9> 42I> 431* 433* 439* 443, 449. Alfo, befides the compofite numbers be¬ tween 500 and 90c, made up of the produdts of fome numbers whofe logarithms have been before determin¬ ed, there will be 59 primes not compofed of them; which with the 36 above mentioned make 95 num- firft of which is 512, and the laft 1. Thus 20 loga¬ rithms are obtained : but the labour of finding the numbers belonging to them is fo exceffive, that it is fur- pnfing how it could be undergone by any body. To obtain thofe correfponding to the firft ten logarithms, the fifth root mull be ex traded ten times, and the fquare root as often, to obtain the numbers correfpond¬ ing to the others. The power from which thefe ex- tra&ionsis made, mull originally be 1, with a number of ciphers annexed. Other logarithms might be form¬ ed from thefe by adding them, and multiplying their correfponding numbers ; but as this method, befides its excelfive labour, would produce only an antilogaritb- tnic canon like that of Mr Dodfon already mentioned, other more eafy and proper methods were thought of. The next was by finding continually geometrical means, firft between 10 and 1, and then between 10 and that mean, and fo on, taking the arithmetical means between their correfponding logarithms. The operation is alfo facilitated by various properties of numbers and their logarithms, as that the produdls and quotients of numbers correfpond to the fums and dif¬ ferences of their logarithms; that the powers and roots of numbers anfwer to the p<-odu6ts and quotients of the logarithms by the index of the power or root. Thus having the logarithm of 2, we can have thofe of 4, 16, 256, &c. by multiplying the logarithms by 2, and fquaring the numbers to as great an extent in that feries as we pleafe. If we have alfo that of 3, we can not only have thofe of 9, 81, 8561, &c. but of 6, 18. 2 7, and all poflible produ&s of the powers of 2 and 3 into one another, or into the numbers themfelves. The following property may alfo be of ufe, viz. that if the logarithms of any two numbers are given, and each number be raifed to the power denoted by the index of the other, the produdts will be equal. Thus, Log. 01 2 3 4 5 6 Nat. numb. 1 2 4 8 16 32 64 Let the two numbers be 4 and 16 j it is plain, that if R 2 we 132 L O G A R Conftrucf- we raife 4 to tlie fourth power and j 6 to the fquare, tion ^ products will be the fame ; for 16X16 =256, and Logarithms A>,A=ri(.; , 6X4:= 64 . and 64><4= 256< Another method mentioned by Mr Briggs depends upon this property, that the logarithm of any number in this fcale is 1 lefs than the number of places or fi¬ gures contained in that power of that number whofe exponent's the logarithm of 10, at lead as to integral numbers 5 for Mr Briggs has (hown that they really differ by a fraction. To this Mr Hutton adds the fol¬ lowing ; viz. that of any two numbers, as the greater is to the lefs, fo is the velocity of the increment or decre¬ ment of the logarithms at the greater ; “ that is (fays he), in our modern notation, asX. Y : y : x ; where x and y are the fluxions of X and Y. In the treatife written upon the conftriuftion of loga¬ rithms by Mr Briggs Iiimfelf, he obferves, that they may be conftrudted chiefly by the two methods already mentioned, concerning which he premifes feveral lem¬ mata concerning the powers of numbers and their in¬ dices, and how many places of figures are in the pro- dufts of numbers. He obferves, that thefe products will confift of as many figures as there are in both fac¬ tors, unlefs the firft figures in each faftor be exprefled in one figure only, which fometimes happens, and then there will commonly be one figure lefs in the produfl than in the two factors. He obferves alfo, that if in any feries of geometricals, we take two terms, and raife one to the power denoted by the index of the other, or any number raifed to the power denoted by the loga¬ rithm of the other, the product will be equal to this latter number raifed to the power denominated by the loga¬ rithm of the former. Hence, if one of the numbers be 10, whofe logarithm is 1 with any number of cyphers, then any number raifed to the power whofe index is the lo¬ garithm of that number, that is, the logarithm of any number in this Ccale where 1 is the logarithm of 10, is the index of tha^ power of 10, which is equal to the given number. But the index of any integral power of ! o is one lefs than the number of places of figures it contains. Thus the fquare of 1 c, or 100, contains three places of figures, which is more by one, than 2 the index of the power; 1000, the cube of 10 con¬ tains four places, which is one more' than the index, 3, of the power. Hence as the number of places of the powers of * o are always exactly one more than the in¬ dices of thofe powers, it follows that the places of fi¬ gures in the powers of any other number which is no integral power of le, will not always be exactly one kfs in number than the indices of the powers. From thefe two properties is deduced the following rule for finding the logarithms of many prime numbers. Find the 10th, 100th, 1 oooth, or any other power of a number, fuppofe 2, with the number of places of figures in it, then that number of figures ihall always exceed the logarithm of 2, although the excefs will be conftantly lefs than 1 ; whence by proceeding to very high powers we will at laft be able to obtain the loga¬ rithm of the number to great exaftnefs. Thus, the logarithm of 2, found by other methods, >3 known to be 30102999.566389, &c. The tenth power of 2 is 1024 ; which containing four places of figures, gives 4 for the logarithm of 2, which exceeds it, though not quite by 1. The 20th power of 2, eonfifting of the icth power multiplied into itfelf, by I T H M S. Sea. II its number of places ought to give the logarithm of 4; Conftruc and according to the rule already laid down, fliould «on of contain eight places of figures : but by reafon of theL°8arilhB cipher which Hands in the fecond place, it is eafy to vl" fee that it muft contain only feven; which therefore gives feven for the logarithm of four. The logarithm of 16 is then expreffed by the number of places of fi¬ gures in the product of the 20th power of 2 into it¬ felf; and is therefore denominated by 13. That of 256 is denoted by the 80th power of 2, containing 25 places of figures. The logarithm of 2, therefore, having been already exprelfed by the 10th power of 2, will be again exprefled by the 100th power. Adding, there¬ fore, the number of places contained in the 80th power, viz. 25 to 7, the number of places containedin the 20th, we have 32 for the next expreffion of that logarithm. On account of the cipher which Hands in the feconi place of one of the faftors, however, we mull deduct one from the number; and thus we have 3 1 for the logarithm of 2, which is a confiderable approximation. Proceeding in this manner, at the 1 oooth power of 2, we have 302 for the logarithm of 2 ; at the 10,000th power we have 3011; at the 100,000th power, 30103; at the x,ooo,oooth, we have 301030 ; and at the 10,000,000th power, we obtain 3010300; which is as exaft as is commonly exprefled in the tables of. lo¬ garithms ; but by proceeding in the fame manner we may have it to any degree of exadinefs we pleafe. Thus, at the r 00,000,000th power, we have 30103000 5 and at the 1,000,000,oooth, the logarithm is 301029996, true to eight places of figures. The only difficulty in this method is to find the number of places of figures in the different powers without multiplying them ; but this may be determi¬ ned by only multiplying the firfi five ; or even the firfl three of the products will be fufficient to determine this ; and the logarithms may thus be found with very great facility. When the logarithms, however, are required to a very great degree of exattnefs, our author thinks that the method of mean proportionals is molt eligible. This cohfifls in finding a great number of mean pro¬ portionals betwixt 1 and the number propofed; that is, firfl extracting the fquare root of the number it¬ felf, then extracting the root of that root, &c. until the laft root fliall exceed 1 only by a very fmall de¬ cimal. Finding then the logarithm of this number by methods hereafter to be deferibed, he multiplies it by the index of the power of 2, denoted by the number of extractions of the fquare root; and the re- fult is the required logarithm of the given number. In this method, the number of decimal places contain¬ ed in the laft p-oot ought to be double the number of true places required in the logarithm itfelf, and the firft half of them ought to be cyphers; the integer be¬ ing 1. To find out the firft fmall number and its lo¬ garithm, our author begins with 1 o and its logarithm 1 ; continually extracting the root of the former, and bifeCting the latter, till he comes to the 54th root, and then finds, that at the 53d and 54th roots both natural numbers and logarithms bear the fame pro¬ portion to each other, viz. that of 2 to 1. Thus, Numbers. 5311.00000,00000,00000,25565,82986,40064,70 5411.00000,00000,00000,ia;81,91493,20031,35 t LG- Sea. II. LOG A II Conftruc- Logarithms, tion of •5310.00000,00000,00000,11102,25034,61515,65404 Logarithms 5410.00009,00000,00000,05551,11512,31157,^1702 v If now by continual extradlion and bifeftioa we find any other fmall number, it will then be, as 12781, See. is to 5551, &c. fo is that other fmall decimal to the correfpondent fignificant figures of its logarithm. To avoid, however, the exceffive labour of fuch long multiplications and divifions, he reduces this ratio to another, the antecedent of which is 1. Thus, as 12781, &c. is to 5551, &c* fo is 1 with as many ci¬ phers annexed as precede the logarithms above men¬ tioned, viz. 15, with another unit annexed to a 4th number, which will be the fignificant figures of the loga¬ rithm of the third term. The proportions then will be 12781 A-c. : 5551 &c. :: i .ot*x>o,oocOo,ooooo, i : 434294481903251804; this laft number, with 17 ciphers prefixed, being the lo¬ garithm of the one immediately preceding it. Having therefore found by continual extraction any fuch fmall decimal as the above, multiply it by 4342, &c. and the product will be the correfponding logarithm of the laft root. Still, as the labour of fo many extractions mull be intolerably tedious, it became neceflary to fall upon fome contrivances to Ihorten fuch operations ; and of thefe the following is an example. Let the number of which we feefe the logarithm be involved to fuch an • height that the index of the power may be one, with either one or more ciphers next to it. Divide this power then by 1 with as many ciphers annexed as the power has fignificant figures after the firft; or, fuppofing all the figures after the firft to be decimals, the roots are extracted continually from this power, till the decimal becomes fufficiently fmall, as when the firft 15 places are ciphers; then, multiplying the decimal by 43429, &c. we have the logarithm of this laft root; which logarithm, multiplied by the like power of the number 2, gives the loga¬ rithm of the firft number of which the extraction was begun. To this logarithm if we prefix 1, 2, 3, &c. according as this number was found by dividing the power by 10, 100, 1000, &c. and laftly, dividing the refult by the index of that power, the quotient will be the required logarithm of the given prime num¬ ber. Thus to find by this method the logarithm of 2. Raife it firft to the 10th power, which is 1024; then cutting off for decimals the laft three figures, we con¬ tinually extraCt the fquare root from 1,024 forty-feven times, which gives 1.00000,00000,00000,16851,60570,53949,77 ; the decimal part of which multiplied by 43429, &c. gives 0.00000,00000,00000,07318,55936,90623,9368 for its logarithm, which being continually doubled 47 times, or multiplied at once by the 47th power of 2, viz. 140737488355328, gives for the logarithm of the number 10240.01029,99566,39811,95265,27744,^6 to 17 or 18 places of decimals: then prefixing to this . I T H M S. number 3, becaufe the divifion was made by 1000 (for .Conftnic- cutting off the three places of decimals is the fame as L tl0"itc|inw dividing by 1000), we have for the logarithm of 1024, oga^‘ 3.010299566, &c. as above. Laftly,. dividing by 10, becaufe 1024 is the icth power of 2, wc have the lo* garithm of 2 itfelf; viz. 0.30102, &c. The involving of any number to a very high power is by no means a matter of fuch difficulty as might at firft fight be imagined. A number multiplied by itfelf produces the /guare ; the fquare multiplied by it¬ felf produces the biquadrate ; the biquadrate multiplied by itfelf gives the eighth power, and the eighth power multiplied by the fquare produces the tenth. The tenth power multiplied by itfelf gives the 20th, and the 20th. multiplied by itfelf the 40th. The eighth power divided by the original number gives the feventh ; and the 40th power multiplied by the feventh gives the 47th power required. The differential method of conftruCting logarithms was likewife invented by our author, and greatly fhortens the labour of finding the mean proportionals. Mr Briggs, in the courfe of his calculations, had ob- ferved, that thefe proportionals, found by continual extraction of roots, gradually approach nearer and nearer to the halves of the preceding root; and that as many fignificant figures as there are cyphers before them, agree exaClly in this proportion. Subtracting therefore each of thefe decimal parts, which he called A, or the fiift differences, from half the next preced¬ ing one, and by comparing together the remainders or fecond differences, called B, he found that the fuc- ceeding were always nearly equal to £ of the next pre¬ ceding ones ; then taking the difference between each fecond difference and ^ of the preceding one, he found that thefe third differences, called C, were nearly in the continual ratio'of 8 to 1 ; again taking the difference between each C and ^ of the next preceding, he found that thefe fourth differences, called D, were nearly in. the continual ratio of 16 to 1 ; and fo on, the 5th (E), 6th (F), &c. differences, being nearly in the conti¬ nual ratio of 32 to I, of 64 to 1, &c. : thefe plain obfervations being made, they ‘ very naturally and clearly fuggefted to him the notion and method of con- ftruCting all the remaining numbers from the diffe¬ rences of a few of the firft, found by extracting the roots in the ufual way. This will evidently appear from the annexed fpecimen of a few of the firft num¬ bers in the laft example for finding the logarithm of 6 ; where after the 9th number the reft are fuppofed to be conftrufted. from the preceding differences of each, as here Ihown in the 10th and nth. And it is evi¬ dent that, in proceeding, the trouble will become al¬ ways, lefs and lefs ; the differences gradually vaniftiing, till at laft only the firft differences remain. And that generally each lefs difference is ftiorter than the next greater, by as many places as there are cyphers at Lhc beginning of the decimal in the number to be genera¬ ted from the differences. LOGARITHMS. 1,00776,96 1,00387,72833,36962,45663,84655,1 1,00193,67661,36946,61675,87022,9 1,00096,79146,39099,917 28,89072,0 1,00048,38402,68846,62985,49253,5 1,00024,18908,78824,68563,80872,7 24,19201,34423,31492,74626,7 292,55598,62928,93754,0 I 1,00012,09381,26397,13459,43919,4 12,09454,39412,34281,90436,3 73>I3OI5»2o822,465i6,9 | 73*i3899»6573^23438,5 884,44909,76921,5 7 I 1,00006,04672,35055,30968,01600,5 6,04690,63198,56729,71959,7 18.28143.25761.70359.2 18.28253.80205.61629.2 110,54443,9! 270,o IIO>556I3>72II5,2 1169,80845,2 1,00003,02331,60505,65775,96479,4 3*02336,17527,65484,00800,2 4,57021,99708,04320,8 4»57035>8i44°»42589»8 13,81732,38269,0 13,81805,48908,5 73.10639.7 73.11302.8 663,1 A iA B A tA B A iA B iB C iC D A tA B iB C iC D tVD E 1,00001,51164765999,0 5^7 ' 1,51165,802 52,82887,98239,7 I>I4253»772I5»03I9°»9 Hitherto the 1,14255,49927,01080,2 fmaller differences 1,72711,97889,3 are foundry fab- 1,72716,54783,6 trailing the larger from 4,56894,3 the parts of the like pre- 4,56915,0 ceding ones. 20,7 20,7 Here the greater differences 65 remain after fubtrailing 28555,89 the fmaller from the parts 28555,24 of the difference of 21588,99736,16 the next preceding 21588,71180,92 number. 28563,44303,75797,72 28563,22715,04616,80 75582»32999»52836»47524»4° 1,00000,75582,04436,30121,42907,60 1784,70 1784,68 2698,58897,62 2698,57112,94 7140,80678,76154,20 7140,77980,19041,26 37791,02218,15060,71453,80 1,00000,37790,95077,37080,52412,54 Sea. Ill Conftruc- :Si I of ifl- - ja I non 01 Logarithm# B iB C iC D E ttE He then concludes this chapter with an ingeni¬ ous, but not obvious, method of finding the diffe- rences B, C, D, E, &e. belonging to any number, as fuppofe the 9th, from that numbef itfelf, independent of any of the preceding 8th, 7th, 6th, 5th, &c.; and it is this: Raife the decimal A to the 2d, 3d, 4th, 5th, &c. powers ; then will the 2d (B), 3d (C), 4th (D), &c. differences be as here below. C = D = E = F = G = H = 1 = K = rA3 -j--J-A4, ffA4-J-^Ar-fV^A^-f- -s-A1 -f- tVA*, 2*as+ J^66+ 12^aI+ • I3Ts-As-j- 814A7-}- 296|4A8-{- • 122^’ +1510AVA3 + *937 ~ li^aA5-!- yrT^A’0, 834t4iVA9-j- I953fT4:A, °, &c, -r * i475rV-8-A9-l- 68372-v^^A1 °, &c. rA8 +47151 ttVa9 + 7o68454t44A10, &c. 549°2A^-A9 4- °,8cc. . 28o5527A,°, &c. Thus in the 9th number of the foregoing example, omitting the ciphers at the beginning of the decimals, we have A = 1,51164,65999,05672,95048,8 A1 = - 2,28507,54430,06381,6726 A3 = - - - 3,45422,65239,48546,2 A4 = - - - - 5,22156,97802,288 A3 — - • - - - 7,89316,8205 A6 11,93168,1 &c. Confequently A4-* = i>i4253»772I5>03i90>83^3 = B 4A3 - 1,72711,32619,74273 4A4 - 65269,62225 4A3-HA4 1,72711,97889,36498 = C tA4 4.56S87,35577 4AS - - 6,90652 tVA5 - " - ' - 5 iA4+4As+T«A5 4^^894,26234 = D 24A! -. 20,71957 7A* - - - 83 2{As+7As - - - 20,72040 = E which agree with the like differences in the foregoing fpecimen. • § 4. Of Curves related to Logarithms. Several other ingenious methods and improve¬ ments are laid down by our author in his treatife upon this fubjcft; but as all thefe were attended with great labour, mathematicians ftill continued their efforts to facilitate the work ; and it was foon perceived that fome curves had properties analogous to logarithms. Edmund Gunter, it has been faid, firft gave the idea of a curve, whofe abfciffes are in arithmetical progref- fion, while the correfponding ordinates are in geo¬ metrical progreffion, or whofe abfciffes are the loga¬ rithms of their ordinates ; but it is not noticed in any part of his writings. The fame curve was afterwards confidered Sea. II. LOGARITHMS. *3$ - Conftmc- confidered by others, and named the logarithmic or /o- ti°n of gijlic curve by Huygens in his DiJJertatio de Caufa Gra- • ■ °garit“ms vitality where he enumerates all the principal properties of this curve, fhowing its analogy to logarithms. Many other learned men have alfo treated of its properties ; particularly Le Seur and Jacquier in their comment on Newton’s Principia ; Dr John Kiell in the elegant little traft on logarithms fubjoined to his edition of Euclid’s Elements; and Francis Maferes, Efq; curfi- tor baron of the exchequer, in his ingenious treatife on Trigonometry; in which books the doftrine of lo¬ garithms is copioufly and learnedly treated, and their analogy to the logarithmic curve, &c. fully difplayed. It is indeed rather extraordinary that this curve was not fooner announced to the public; fince it refults immediately from Baron Napier’s manner of concei¬ ving the generation of logarithms, by only fuppoiing the lines which reprefent the natural numbers to be placed at right angles to that upon which the loga¬ rithms are taken. This curve greatly facilitates the conception of logarithms to the imagination, and af¬ fords an almoft intuitive proof of the very important property of their fluxions, or very fmall increments, uiz. that the fluxion of the number is to the fluxion of the logarithm, as the number is to the fubtangent; as alfo of this property, that, if three numbers be taken very nearly equal, fo that their ratios to each other may differ but a little from a ratio of equality; as for example, the 3 numbers 10,000,000, 10,000,001, 10,000,002, their differences will be very nearly proportional to the logarithms of the ratios of thofe numbers to each other: all which follows from the logarithmic arcs being very little different from their chords, when they are taken very fmall. And the conftant fubtangent of this curve is what was afterwards by Cotes called the modulus of the fyftem of logarithms : and fince, by the former of the two properties above mentioned, this fubtangent is a fourth proportional to the fluxion of the number, the fluxion of the logarithm, and the number, this pro¬ perty afforded occafion to Mr Baron Maferes to give the following definition of the modulus, which is the fame in effedf as Cotes’s, but more clearly expreffed ; * namely, that it is the limit of the magnitude of a fourth proportional to thefe three quantities, i-iz. the diffe¬ rence of any two natural numbers that are very nearly equal to each other, either of the faid numbers and the logarithm or meafure of the ratio they have to each other. Or we may define the modulus to be the natural number at that part of the fyftem of logarithms, where the fluxion of the number is equal to the fluxion of the logarithm, or where the numbers and logarithms have equal differences. And hence it follows, that the logarithms of equal numbers or of equal ratios, in different fyftems, are to one another as the moduli of thofe fyftems. Moreover, the ratio wbofe meafure or logarithm is equal to the modulus, and thence by Cotes called the ratio modularis, is by calculation found to be the ratio of 2*718281828459, &c. to 1, or of 1 to *367879441171, &c.*. the calculation of which num¬ ber may be feen at full length in Mr Baron Maferes’s treatife cm the Principles of Life-annuities, p. 274 and 275. The hyperbolic curve alfo afforded another fource for developing and illuftrating the properties and con- .ftruction of logarithms. For the hyperbolic areas ly¬ ing between the curve and one afymptote, when they Conftmc- are bounded by ordinates parallel to the other afymp- t101? tote, are analogous to the logarithms of their abfciffes ‘ or parts of the afymptote. And fo alfo are the hy¬ perbolic feftors; any feftor bounded by an arc of the hyperbola and two radii being equal to the quadrilate¬ ral fpace bounded by the fame arc, the two ordinates to either afymptote from the extremities of the arc and the part of the afymptote intercepted between them- And although Napier’s logarithms are commonly faid to be the fame as hyperbolic logarithms, it is not to be underftood that hyperbolas exhibit Napier’s loga¬ rithms only, but indeed all other poffible fyftems of lo¬ garithms whatever. For, like as the right-angled hy¬ perbola, the fide of whofe fquare infcribed at .the ver¬ tex is 1, gives us Napier’s logarithms;- fo any other fyftem of logarithms is expreffed by the hyperbola whofe afymptotes form a certain oblique angle, the- fide of the rhombus infcribed at the vertex of the hy¬ perbola in this cafe alfo being ftill 1, the fame as the- fide of the fquare in thfe right-angled hyperbola. But the areas of the fquare and rhombus, and confequent- ly the logarithms of any one and the fame number or ratio, will differ according to the fine of the angle of the afymptotes. And the area of the fquare or rhom¬ bus, or any infcribed parallelogram, is alfo the fame thing as what was by Cotes called the modulus of the fxftem of logarithms; which modulus will therefore be expreffed by the numerical meafure of the fine of the angle formed by the afymptotes, to the radius 1 ; as that is the fame with the number expreffmg the area of the faid fquare or rhombus, the fide being 1: which, is another definition of the modulus to be added to thofe we before remarked above in treating of the lo¬ garithmic curve. And the evident reafon of this is,, that in the beginning of the generation of thefe areas, from the vertex of the hyperbola, the nafcent incre¬ ment of the abfciffe drawn, into the altitude 1, is to the increment of the area, as radius is to the fine of the angle of the ordinate and abfciffe,. or of the afymp¬ totes ; and at the beginnyag of the logarithms, the nafcent increment of the natural numbers is to the in¬ crement of the logarithms as 1 is to the modulus of the fyftem. Hence we eafily dffcover, that the angle formed by the afymptotes of the hyperbola, exhibiting^ Briggs’s Syftem of Logarithms, will be 25 44' 25 f ;. this being the angle whofe fine is 0*4342944819, &c., the modulus of this fyftem. Or indeed any one hyperbola, as has been remarked’ by Mr Baron Maferes, will exprefs all polfible fyfttms of logarithms whatever; namely, if the fquare or rhombus infcribed at tire vertex,, or, which, is the fame thing, any parallelogram infcribed between the afymp¬ totes and the curve at any other point, be expounded by the modulus of the fyftera ; or, which is the fame,, by expounding the area, intercepted between two or¬ dinates which are to each other in the ratio of ro tor 1, by the logarithm of that ratio in the propofed fy¬ ftem. As. to the firft remarks on the analogy between lo¬ garithms and the hyperbolic fpaces ; it having been, ftiown by Gregory St Vincent, in his Ifuadratura Cir~ cuR et SeSionum Coni, publilhed at Antwerp in 1647,. that if one afymptote be divided into parts in geome¬ trical progreffion, and from the points of divifion or*- dinates- *36 L O G A R ■Gonftruc- ditiates be drawn parallel to the other afymptote, they tion of w|j] divide the fpace between the afymptote and curve . og‘^' ms into equal portions; from hence it was fliown by Mer- fennus, that, by taking the continual fums of thofe parts, there would be obtained areas in arithmetical progrefiion, adapted to abfciffes in geometrical pro- greffion, and which therefore were analogous to a fy- item of logarithms. And the fame -analogy was re¬ marked and illuftrated foon after by Huygens and many others, who fhow how to fquare the hyperbolic fpaces by means of the logarithms. There are like- wife many other geometrical figures which have pro¬ perties analogous to logarithms ; fuch as the equi¬ angular fpiral, the figures of the tangents and fecants, &c. $ 5. Mercator's Method. This is purely arithmetical, and is founded upon the idea of logarithms already mentioned; w*. that they are the meafures of ratios, and exprefs the num¬ ber of ratiuncula contained in any ratio into which it may be divided. Having ihown then that thefe lo- * garithms, or numbers of fraall ratios, or meafures of ratios, may be all properly reprefented "by numbers; and that of 1, or the ratio of equality, the logarithm or meafure being always o, the logarithm of 10, or themeafure of the ratio of 10 to 1, is molt conveni¬ ently reprefented by 1 with any number of ciphers; he then proceeds to fliow how the meafures of all other ratios may be found from this laft fuppofition. And he explains the principles by the two following ex¬ amples. Firft, to find the logarithm of 100*5, or t0 how many rattuncuJa are contained in the ratio of 1005 to 1, the number of ratiuncuhe in the decuple ratio, or ratio of to to 1, being 10,000,000. The given ratio 100*5 to 1 he hrft divides into its parts; namely, 100*5 to IOO> 100 to IO> an{^ Io to li the lafl: two of which being decuples, it follows that the charafteriftic will be.2, and it only remains to find how many parts of the next decuple belong to the firft ratio of 100*5 to 100. Now if each term of this ratio be multiplied by itfelf, the produ&s will be in the duplicate ratio of the firft terms, or this laft ratio will contain a double number of parts ; and if thefe be multi¬ plied by the firft terms again, the ratio of the laft produ&s will contain three times the number of parts, and fo on ; the number of times of the firft parts con¬ tained in the ratio of any like powers of the firft terms, being always denoted by the exponent of the power. If therefore the firft terms 100*5 anc^ 100 conti¬ nually multiplied till the fame powers of tliem have to each other a ratio whofe meafure is known; as fuppofe the decuple ratio 10 to 1, whofe meafure is 10,000,000: then the exponent of that power (hows what multiple this meafure 10,000,000 of the decuple ratio is of the required meafure of the firft ratio 100*5 to 100 ; and confequently dividing 10,000,000 by that exponent, the quotient is the meafure of the ratio 100*5 to 100 fought. The operation for finding this he fets down as here follows ; where the feveral multiplications are all performed in the contra&ed way by inverting the figures of the multiplier, and retaining only the firft number of decimals in each produft. N° 184. I T H M S. 100*5000 5001 x005000 5025 1010025 5200101 1010025" IOIOO Sea. II x 1020150 0510201 1020150 20403 102 _.XL 1040706 6070401 1083068 8603801 ”73037 53°37” 1376011 1106731 18934^6“ 6043981 3584985 5894853 12852116 8 16 16 3 2 3 2 64 64 128 128 256 256 512 This power being greater than the decuple of the like power of 100, which mult always be 1 with ci¬ phers, refume therefore the 256th power, and multiply it not by itfelf but by the next before it, viz. by the 128th, thus. Power* 3584985 604398* 6787831 1106731 256 128 384 64 448 32 480 * 934OI3° 53037” 10956299 This power again exceeding the fame power of ioo more than 10 times,he therefore draws the fame 448th not into the 32ft but the next preceding, thus, Power. 934OI3O - - - 448 8603801 - 16 10X15994 - - - 464 This being again too much, inftead of the 16th draw it into the 8th or next preceding, thus, Power. 9340130 - - - 448 6070401 9720329 05102OX 9916193 5206101 XOOI5603 456 4 460 2 462 Which Power. 460 - Sea. II. L O G A R Cenftruc- Which power again exceeds the limit: therefore i Ojarithms ^raw t^e 460th into the I ft, thus, '* 9916x93 5001 - - - 1 9965774' - - - 46.1 Since therefore the 462ft power of ioc^ is greater, ’Sud the 461ft power is lefs, than the decuple of the Tame power of 100; he finds that the^ratio of ioo-5 to 'too is contained in the decuple more than 461 times, Imt lefs than 462 times. Again, r,- C4.60.) C 0016102 ■) and the differences Ih“ 546.PT' ) 9965774? 4958. ( nerfy C ( 462 v ( 10015603 > 49829 ^ equal; therefore the proportional part which the exadi power, or 10000000, exceeds the next lefs 9965774, will be eafily and accurately found by the Golden Rule, thus: The juft power - - iooooooc^ and the next lefs - - 9965774 the difference - - 34226; then, As 49829 the dift between the next lefs and greater. To 34226 the dif. between the next lefs and juft, :: So is 10000:'to 6868, the decimal parts; and there¬ fore the ratio of 100*5 to 100, is 461*6868 times con¬ tained in the decuple or ratio of 10 to 1. Dividing how 1,0000000, the meafure of the decuple ratio, by 461.6868, the quotient 00216597 is the meafure of the ratio of 100*5 t0 IOO> which being added to 2, the mcafure of 100 to 1, the fum 2,00216597 is the j * iheafure of the ratio of 100*5 to I, that is, the log. of 100*5 Is 2,00216597. In the fame manner he next inveftigates the log. of. 99*5, and finds It to be 1,99782307. A few obfervations are then added, calculated to ■generalize the confidei-ation of ratios, their magnitude and affeftions. It is here remarked, that he confiders the magnitude of the ratio between two quantities as the fame, whether the antecedent be the greater or the lefs of the two terms ; fo the. magnitude of the ra¬ tio of 8 to 5 is the fame as of 5 to 8 ; that is, by the magnitude of the ratio of either to the other is meant the number of ratiuncuLt between them, which will evi¬ dently be the fame whether the greater or lefs term be the antecedent. And he farther remarks, that of dif¬ ferent ratios, when we divide the greater term of each ratio by the left, that ratio is of the greater maft or “magnitude which produces the greater quotient, et vice verfa; although thofe quotients are not proportional fo the maffes or magnitudes of the ratios. But when he confiders the ratio of a greater term to a lefs, or of a lefs to a greater, that is to fay, the ratio of greater or lefs inequality, as abftra&ed from the magnitude of the ratio, he diftinguilhes it by the word ciffeBion, as much as to fay greater or lefs affedlion, fomething in the manner of pofitive and negative quantities, or fuch ' as are affe&ed with the figns + and — The remainder of this work he delivers in feveral propoil- tions, as follows: Prop. 1. In fubtraction from each other two quan¬ tities of the fame affeclion, to wit, both pofitive, or -both negative; if the remainder.be of the fame affec¬ tion with the two given, then is the quantity Subtrac¬ ted the lefs of the two, or expreffed by the left num¬ ber ; but if the contrary, it is the greater. Prop. 2. In afty continued ratios, as —^ a-\-b «4-2i5 Vol. X. Part I. I T H M S. 137 a+ib . Conftruc- ^ w> &c. (by which is meant the ratios of a to a-\-l to a-’t-zb, a^rzl to a-^-^b. See.) of equidif- ferent terms, the antecedent of each ratio being equal to the confequent of the next preceding one, and pro¬ ceeding from lefs terms to greater; the meafure of each ratio will be expreffed by a greater quantity than that of the next following; and the fame through all their orders of differences, namely, the ift, 2d, 3d, &c. differences ; but the contrary, when the terms of the ratios decreafe from greater to lefs. Prop. 3. In any continued ratios of equidifferent terms, if the ift or leaft be a, the difference between the ift and 2d b, and c, dt e. Sec. the refpeftive firft term of their 2d, 3d, 4th, Sec. differences ; thert ftiall the feveral quantities themfelves be as in the an¬ nexed fcheme ; where each term is compofed of the firft term together with as many of the differences as it is diftant from the firft term, and to thofe differences joining, for coefficients, the numbers in the floping or oblique lines contained in the annexed table of figu- rate numbers ; in the fame manner, he obferves, as the fame figurate numbers complete the powers railed from a binomial root, as had long before been taught by others. He alfo remarks, that this rule not only gives any one term, but alfo the fum of any number of fuc- ceffive terms from the beginning, making the 2d coef¬ ficient the ift, the 3d the 2d; and fo on ; thus, the fum of the firft 5 terms is 52 + I OiJ + I or + yi + f. ift term - a 2d - - a+ b 3d - - a zb c 4th - - a + $b + v d 5th - - a + 4b + 6c + <^d -{• e Sec. &c. Logari- hmi In the 4th prop, it is fhown, that if the terms de¬ creafe, proceeding from the greater to the lefs, the fame theorems hold good, by only changing the figa o'f every other term, as below, ift term - - a 2d - - - a — b .ftd - - - a — zb c 4th - a — 3^+3^ — d 5th - - - a — 43 •-{- 6r —- 46/ 4* &c. &e. Prop. 6th and 7th, treat of the approximate multi¬ plication and divifion of ratios, or, which is the fame thing, the finding nearly any powers or any roots of a given fradtion, in an eafy manner. The theorem for S railing 138 L O G A R Confixuc- raifiag any power, when reduced to a Ampler form, is jtiQganihnris this, the m power of -j-’ or —J is = Isi~rn ^ near- ly, where j iscra and d — a,co b, the fum and difference of the two numbers, and the upper or under figns take place according as-^- is a proper or an im¬ proper fraction, that is, according as a is lefs or great¬ er than L And the theorem for extracting the mth .a . m a "a" |"^7 _ ms r+z d , . , root ofj- ™ vT °rT| - nearly; which latter rule is alfo the fame as the former, as will be evident by fubftituting — inllead of m in the firft theo- So that univerfally -fJ is = 7 b'" nsz+zmd arly. I T H M S. Sea. If. to the xft quotient, to the fum add the 2d quotient, Conftruo and fo on, adding always the next quotient to the lait don of fum, the feveral fums will be the refpe&ive logarithms Logarithm* of the numbers in this feries, 101, 102, 103, 104, &c. v The next, or prop. 1 oth, (hows that, of two pair of continued ratios, whofe terms iHive equal differences, the difference of the meafures of the firft two ratios is to the difference of the meafures of the other two, as the fquare of the common term in the two latter is to that in the former, nearly. Thus, in the four ratios «, a-\-b a+qb a+4^, . aa+zab a+b a+2b fl+yi a + b? (the difference of the firft two, or the quotient of the two fraftiohs) : the meafure of —— : ; a-\~$D2 : n+^2> nearly. prop. 11. the author Ihows that fimilar proper¬ ties take place among two fets of ratios, confifting each of 3 or 4, &c. continued numbers. Prop. 12. fhows, that of the powers of numbers in arithmetical progreflion, the orders of differences which Thefe theorems, however, are nearly true only in fome certain cafes, namely, when -y and do not differ greatly from unity. And in the yth prop, the author become equal, are the fecond differences in the fquares, Ihows how to find nearly the error o ' the theorems. the 3d differences in the cubes, the 4th differences in In the 8th prop, it is fhown, that the meafures of the 4th powers, &c. And from hence it is fliown, how to conftru& all thofe powers by the continual ad¬ dition of their differences : As had been long before more fully explained by Briggs. In the next, or 13th prop, our author explains his compendious method of raifing the tables of loga¬ rithms, fhowing how to conftruA the logarithms by addition only, from the properties contained in the. to find the meafure of any ratio lefs than V^o-V, which 8th, 9th, and 12th propofitions. For this purpofe he has an equal difference (1) of terms. In the two ex - . a , amples mentioned near the beginning, our author found makes ufe of the quantity ^^ which by divinon he the logarithm or meafure of the ratio, of , to be 21769^, and that of to be 21659^ ; there¬ fore the fum 43429 is the logarithm of t^Vt* or Toe X , Iri-rr 5 or tke logarithm of T95%-J5 is nearer 43430, as found by other more accurate computations. —Now, to find the logarithm of having the fame difference of terms (1) with the former; it wiU be, by 9999rj, &c. the cormfponding means between the prop 8. as 100.5 mean between ioi and 100) : ^ the rat;os MM*. UMl. See. it ratios of equidifferent terms, are nearly recipro¬ cally as the arithmetical means between the terms ©f each ratio. So of the ratios {-£, 4|, -f?» the mean between the terms of the firft ratio is 17, of the 2d 34, of the 3d 51, and the meafures of the ratios are nearly as yt* tt- From this property he proceeds, in the 9th prop. ico (the mean between gg’j and loo’y) : : 43430 3,43213 the logarithm of or the difference be¬ tween the logarithms of 100 and 101. But the loga¬ rithm of 100 is 2 ; therefore the logarithm of 101 is 2,0043213. Again, to find the logarithm of 102, we muft firft find the logarithm of » the mean be¬ tween its terms being 101*5, therefore as 101*5 : 100 i : 43430 : 42788 the logarithm of t§t> or the dif¬ ference of the logarithms of ioi and 102. But the logarithm of 101 was found above to be 2,0043213 ; therefore the logarithm of 102 is 2,0086001.—So that dividing continually 868596 (the double of refolverinto this infinite feries ‘5' + ^ + yi + fA* &c. (in infin.) Putting then d— 100 the arithmetical mean between the terms of the ratio 100000, c fucceflively equal to 0*5, 1*5, 2*5, &c. that fo b—c may be refpectively equal to 99999'5> 99998*5, :fponding means between the rfvvh fw$T> &c* it divided by the ift in the proportions mentioned in the 8th and 9th propofitions; and when each of thefc quotients are found, it remains then only to multiply them by the conftant 3d term 43429, or rather 43429*8, of the proportion, to produce the logarithms of the ratios £§g $•*> T'f'f ^-c* till then adding thefe continually to 4 the logarithm of 10000 the leaft number, or fubtra£ting them from 5 the logarithm of the higheft term 100000, there will uiviuiiig v_uiiixiiuany OUOyiJU t LUC UOUU1C OX - , t . , rit i » r l . L r 434298 the logarithm of or iW by each num- refult the logarithms of all the abfolute numbers from fees of the feries 201. 202. snr. ,0^ .V,, then , IOOOO to IOOOOO. Now when c is = 0.5, then. feer of the feries 201, 203, 205, 207, &c. then add 2 a ac acx ac 1 zz .ooi, =*000000005,-p =*000000000000025, —pi =*000000000000000000125, &c. ; therefore -a — a + fi + —, &c. is =*001000005000025000125, b—c b bb b1 In like manner, if c = 1.5, then will be =*001000015000225003375 ; «md if c =2*5, then —— wilLbe =*001000025000625015625 j b—£ MSect. II. Conftruc- lion of 1 i!j Logarithm* _ L O G A R of &C. But inftead of conflrufting all the values of in the ufual way of raifing the powers, he direfts them to be found by addition only, as in the laft propofitioii. Having thus found all the values of - the author then (how?, that they may be drawn into the conftant logarithm 43429 by addition only, by the help of the annexed table of the firlt 9 products of it. The author then diftinguifties which of the logarithms it may be proper to find in this way, and which from their component parts. Gf thefe the logarithms of all even numbers-need not be thus computed, being compofed from the number 2 ; which cuts off one half of the numbers: neither pre thofe numbers to be computed which end in 5, becaufe 5 is on-4 of their faftors ; thefe laft are ^ of the numbers; and the two together t+tV make j- of the whole : and of the other f, the I T H M S. 139 4 of them, or of the whole, are compofed of 3 ; Conftruc- and hence f -f-Tt> or.Tr °f the numbers, are made upT of fuch as are compofed of 2, 3, and if. As to the og*’ m. other numbers which uaay be compofed of 7, of 11* &c.; he recommends to find their logarithms in the general way, the fame as if they were incompofites, as it is not worth while to feparate them in fo eafy a mode of calculation. So that of the 90 chiliads of numbers from 10000 to 100000, only 24 chiliads are to be computed. Neither indeed are all of thefe to i—c be calculated from the foregoing feries for only a few of them in that way, and the reft by the proportion in the 8th propofition. Thus, having com¬ puted the logarithms of 10003 and 10013, omitting 10023 as being divifible by 3, eftimate the logarithm* of 10033 and 10043, which are the 30th numbers from 10003 an(l Iooi3 ; and again, omitting-10053, a multiple of 3, find the logarithms of 10063 and 10073. Then by prop. 8. As 10048, the arithmetical mean between 10033 and 10063, to 10018, the arithmetical mean between 10003 an<* IO°33> fo 13006, the difference between the logarithms of 10003 and 10033, to 12967, the difference between the logarithms of 10033 an• t 10038 : &c. J And with this our author concludes his compendium for conftrufting the tables of logarithms. 13006 : )12967 ) See. 10028 : : 12992 ),2953 ) &c. . Si:1940 • 9 See. $ 6. Gregory's Method. 12979 might have been found by computing, by meads of the feries, only a few logarithms of fmall ratios, in which the terms of the feries would have decreafed by the powers of 10 or feme greater number, the mj* This is founded upon an analogy between a fcale of merators of all the terms being unity, and their deno- logarithmic tangents and Wright’s protra&ion of the nautical meridian line confifting of the fums of the fe- cants. It is not known by whom this difeovery was made ; but, about 1645, it was publifhed by Mr Henry Bond, who mentions this property in Norwood’s Epi¬ tome of Navigation. The mathematical demonftration of it was firft inveftigated by Mercator ; who, with a view to make fome advantage of his difeovery, offered, in the Philofophical Tranfa&ions for June 4th 1666, to lay a wager with any one concerning it; but this propofal not being accepted, the demonftration was not publifhed. Other mathematicians, however, foon found out the. myflery; and in two years after, Eh- Gre¬ gory publifhed a demonftration, and from this and ether fimilar properties he fhowed a method of com- minators the powers of 10 or fome greater number, and" then employing thefe few logarithms, fo computed, to the finding of the logarithms of other and greater ratios by the eafy operations of mere addition and fub- traCtion. This might have been done for the logs, of the ratios of the firft ten numbers, 2, 3, 4,5, 6, 7, 8, 9,- 10, and 11, to 1, in the following manner, commu¬ nicated by Mr Baron Maferes.—In the firft place the logarithm of the ratio of 10 to 9, orof 1 to l%, or of X to 1—v0-, is equal to the feries-j^+; 2XI00 ~3Xicoo + ' In like manner areeafily 4X10000 5X100000 7 found the logarithms of the ratios of 1 x to 10; and . _ then by the fame feries th'ofe of 121 to 120, and of 81 puting the logarithmic fines and tangents by means to 80, and of 2401 to 2400 ; in all which cafes the of an infinite feries. Several of thefe were invented feries would converge ftill falter than in the two firft by him, and the method of applying them laid down cafes. We may then proceed by mere addition and by himfelf and others ; but Mr Hutton tliinks that a fubtraftion of logarithms, as follows. Ihorter and better method than any they propofed L. Vo°==L. 4, L. £ =2L.|, L. V° — L. ’-j? -f-L. l. ;4-=2L. £, Log- V=L. 44 +L.-Ljf, L. V41 =2L. JpS L- VV — L. V-f L. | L. 3-i L.9. Thus we have got the logarithms of 2, 3, 4, 5, 6, 7, 8, 9, 10, and xi. And this is upon the whole, per¬ haps, the beft method of computing logarithms that can be taken. —This method of computing logarithms is very nearly the fame with that of Sir Ifaac Newton in his fecond letter to Mr Oldenburg, dated October 1676. § 7. ConJiruBlon of Logarithms hy Fluxions. From the definition and defcription of logarithms given by Napier, and of which we have already taken notice, it appears that the fluxion of his, or the hy¬ perbolic logarithm of any number, is a fourth propor¬ tional to that number, its logarithm and unity ; or, which is the fame, that it is equal to the fluxion of the number divided by the number: For the defcription fhows that zi : za or 1 ; : zi the fluxion of zi : zkz, L. 24oir=L. 2400, L. 7=iL. 240;, L. ii = L.^fL. 9. L. 6=1.. 24-L. 3. authors fince Napier's time. And the fame or a inni- lar property is evidently true in all the fyitems of loga¬ rithms whatever, namely, that the modulus of the iy- ftem is to any number as the fluxion of its logarithm is to the fluxion of the number. Now from this property, by means of the do&rine of fluxions, are derived other ways for making loga¬ rithms, which have been illuftraced by many writers on this branch; as Craig, Jo. Bernoulli, and almoll all the writers on fluxions. And this method chiefly confitts in expanding the reciprocal of the given quan¬ tity in an infinite feries, then multiplying each term by the fluxion of the faid quantity, and laftly taking the fluents of the terms; by which there arii'es an in¬ finite feries of terms for the logarithm fought. So, to find the logarithm of any number N, put any com¬ pound quantity for N, as fuppofe - l then the flux. which therefore is : ; but za is alfo equal to the fluxion of the logarithm A, &c. by the defcription ; therefore the fluxion of the logarithm is equal to of the log. or being JL. ~~— —, the fluxion of the quantity divided by the quan¬ tity itfelf. The fame thing appears again at art. 2. of of that little piece in the appendix to his ConJlruRio Logarithmorum, intitled Habitudines Logarithmorum fuorum naturalium numerorum invicem'; where he obferves, that as any greater quantity is to a lefs, fo is the ve- locity of the increment or decrement of the logarithms at the place of the lefs quantity to that at the greater. Now this velocity of the increment or decrement of the logarithms being the fame thing as their fluxions, that proportion is this x : a : : flux. log. a ; flux. log. x : hence if a be=i, as at the beginning of the table of numbers, where the fluxion of the logs, is the index or charafteriftic c, which is alfo one in Napier’s or the hyperbolic logarithms, and 43429, &c. in Briggs’s, the fame proportion becomes x : 1 : : c: flux. log. .v ; but the conftant fluxion of the numbers is alfo I, and there- the fluents give log. of N or log. of^rt —=—— — -j- *3 n n in1 —7——,» dec. And writing —x for x gives log, - = o- log. nr±zx n ’ 0 nztzx have log. —-+-^r ——, &e. and log, n+x n 2n 3«3 4/i4 fore that proportion is alfo this*: — the fluxion of the logarithm of x : and in the hyperbolic lo¬ garithms, where r is = r, it becomes — =the fluxion of Napier’s or the hyperbolic logarithm of x. +-^-4- ~ &c. n—x n 3«» 4B4 And by adding and fubtradling any of thefe feries to or from one another, and multiplying or dividing their correfponding numbers, various other feries for logarithms may be found, converging much quicker than thefe do. In like manner, by afluming quantities otherwife compounded for the value ofN, various other forms of logarithmic feries may be found by the fame means. $ 8. Mr Long’s Method. This method was publilhed in the 339th number This fame property has alfo been noticed by many other garithms, as follows. of the Philofophical TranfaAions; and is performed by means of a fmall table, containing eight clafles of lo- ILcsL Sea. it. ■ I logarithms- | Lo. | Nat. Numb. || Log. 7,94328-2347 6,3°II573445 5,011872336 3,981071706 3,162277660 2,511886432 1,995262315 1,584893193 1,25892^412 1,23026877: 1,202264435 1,174897555 1,148153621 ,122018454 ,096478196 1,071519305 ,047128548 1,023292992 ,0009 8 7 6 O G A R Nat. Numb. I Log. 1,020939484 1,018591388 1,016248694 1,013911386 1,011579454 1,009252886 1,006931669 1,004615794 1,002305238 1,002074475 1,001843766 1,001613109 ,001382506 ,001151956 1,000921459 1,000691015 1,000460623 1,000230285 ,00009 8 7 6 S' 4 3 I T H j Nat. Numb. 1,000207254 1,000184224 1,000161194 1,000138165 1,000115136 1,000092106 1,000069080 1,000046053 1,000023026 ,000009 1,000020724 8 11,000018421 711,000016118 6 1,000013816 5! 1,000011513 4 1,000009210 3 11,000006908 2! 1,000004605 1, 1,000002302 M S. Log. Here, becaufe the logarithms in each clafs are the continual multiples 1, 2, 3, &c. of the loweft, it is evident that the natural numbers are fo many feales of geometrical proportionals, the loweft being the com¬ mon ratio, or the afeending numbers are the 1, 2, 3, &c. powers of the loweft, as expreffed by the figures 1, 2, 3, &c. of their correfponding logarithms. Alfo the lait number in the firft, fecond, third, &c. clafs, is the loth, 1 ooth, 1 oooth, &c. root of 10; and any, number in any clafs is the 10th power of the corre¬ fponding number in the next following clafs. To find the logarithm of any number, asfuppofe of 2.000, by this table : Look- in the firil clafs for the number next lefs than the firft figure 2^ and it is 1,995262315, againft which is 3 for the firft figure of the logarithm fought. Again, dividing 2, the number propofed, by 1,995262315, the number found in the table, the quotient is 1,002374467; which being look¬ ed for in the fecond clafs of the table, and. finding nei¬ ther its equal nor a lefs, o is therefore to be taken for the fecond figure of the logarithm; and the fame quo¬ tient 1,002374467 being looked for in the third clafs, the next lefs is there found to be 1,002305238,.againft which is 1 for the third figure of the logarithm; and dividing the quotient 1,002374467 by the faid next lefs number 1,002305238,^6 newquotient is 1,000069070; which being fought in the fourth clafs gives o, but fought in the fifth clafs gives 3, which are the fourth and fifth figures of the logarithm fought; again, di¬ viding the laft quotient by 1,000046053, the next lefs number in the table, the quotient is 1,000023015, which gives g in the 6th clafs for the 6th figure of the logarithm fought: and again dividing the laft quotient by 1,000020724,, the next lefs number, the quotient is 1^300002291, the next lefs than which in the 7th clafs gives 9. for the 7th figure of the logarithm: and. dividing the laft, quotient by 1,000002072,. the quo¬ tient is 1,000000219, which gives 9-, in the 8th clafs for the 8th figure of the Idgarithm: and again the laft quotient 1,000000219 being divided by , 1,000000207 the next lefs, the quotient 1,000000012 gives 5 in the fame 8th clafs, when one figure is cut off* for the 9th figure of the logarithm fought. All Nat. Numb. 1,000002072 1,00000x842 2,00000x611 1,000001381 1,006001151 1,000000921 1,000000690 1,000000460 1,000000230 66000009 1,000000207 8 j 1,000000184 711,000000161 6 j 1,000000138 5 1,0000001151 4:1,000000092- 3 1,000000069 2J 1,000000046 ,000000023 which figures collefted together give 3,301029995 for Briggs’s logarithm of 2000, the index 3 being fun- plied ; which logarithm is true in the laft figure. To find the number anfwering to j ~ any given logarithm, as fuppofe to I 3 I»9952^2315 3,3010300: omitting the charaifter-{ °|0 1,002305238 ,000069080 iftic, againft the other figures 3, o, 1, 6, 3, o, 0, as in the firft column in the margin, are the federal num¬ bers as in the fecond column, found from-their refpeftive ill, 2d, 3d, &c. clafles ; the effective numbers of which multiplied co,,- tinually together, the laft prodmft is 2,000000019966, which, becaufe the charafteriftic is three, "gives 2000,000019966 or 2000 only for the required num¬ ber anfw.ering to the given logarithm. $ 9. Mr Hutton'i Practical Rule for the ConjlruFtion of Logarithms, The methods laid down in the above fe&ions are abundantly fufficient to Ihow the various principles upon which logarithms may be conftru&ed; though there are ft ill a variety of others which our limits, will not admit of our inferting: The following rule is added from Mr Hutton’s Treatife on the fubjeft, for the fake of thofe who do not choofe to enter deeply into thele inveftigations. Call 2; the fum of any number whofe logarithm is fought, and the number next lefs by unity; divide •8685889638, &c. (or 2~ 2.3025, &c.) by k, and referve the quotient; divide.the referved quotient by the fquare of z, and referve this quotient; divide this laft quotient alfo by the fquare of z, and again re- ferve this q«otient; and' thus proceed continually, dividing the laft quotient by the fquare of z as lono- as divifion can be made. Then write thefe quotients orderly under one another, the firft uppermoft, and di¬ vide them refpeftively by the uneven numbers 1, 3, 5, 7> 9> ll> &c. as long as divifion can be made; that is, divide the xft referved quotient by 1, the 2d by 3, the. 3d by 5, the 4th by 7, &c. Add all thefe laft quo¬ tients together, and the fum will be the logarithm of b-i-a; and therefore to this logarithm add alfo the lo- garithstt.: I4'2 L O G A R Con ft me- garxthm of a the next lefs number, and the fum will be tion of t|ie reqU;red logarithm of b the number probofed. y.o^aathms ^ ^^ ^ ^ ^ of 2<_Here the next Ief3 number is i, and 2-j-i=5::::2'» whofe fquare is 9. Then, 3)-868588964 i)-289^29654(-28952963‘4 3) 32i69962( 10723321 9) I T H M S. Ex. 7. Becaufe -\a=5, therefore from L. 10 - 1‘ooooooooo take L. 2 * ‘3010299954 Sea. II. Conftruc* leaves L. 5 •6989700044 9).289529654 9) 32l699^2 9) 3574+40 397160 44129 9! 9) 9) 9) 9) 49°3, 545 61 714888 56737 4903 446 42 4 •301029995 OOOOQOOOO 27.V. 8 Becaufe 12=3X4, therefore toL.3 * - ‘477121255 add L. 4 - ‘602059991 gives L. 12 - 1.079181246 Log. of 2 - ‘301029995 Ex- 2. To jivd the hg. of 3.—Here the next lefs Slumber is 2, and 2-}-3 = 5 = z, whofe fquare is 25, to divide by which always multiply by ‘04. Then 5 )‘868588964 25)‘I737I7793 25) 6948712 25) 277948 25) mi" 25) 445 I)‘I737I7793(*I737I7793 3) 69487x2( 2316237 5) ,277948( L. 4 - - L. 2 add 55590 1588 50 •176091260 .301029995 L. 3 * - ‘477121255 Then becaufe the fum of the logarithms of numbers gives the logarithm of their produft, and the difference of the logarithms gives the logarithm of the quo ient of the numbers, from the above two logarithms, and the logarithm of 10, which is 1, we may raife a great many logarithms, thus: Ex. 3. Becaufe 2X2=4, therefore to L. 2 - - ‘3pl:iva- 2. This 2 muft be carried as 20 to the decimals, and cimals with 7 for a divlfor, as is ufually done in other Explana- tlTab ethC one mu^ ^rom that carry on the divifion of the de- cafes. tiou ofthe Another Example. Suppofe —T.4771212545 given, to extraft the root of its 5th power. —1.8954252109 the logarithm of the root. Table. Tor 5, the exponent of the root Xt is greater than the index of the given logarithm, and 4 is the remain¬ der. Then —1 becomes the index of the logarithm of the root; and 4= the overplus, is to be carried as 40to the decimals;.and from that, divifionisto be made with 5 as a divifor for the reft of the work. Stcr. III. Explanation andUfe of the Table, •with a general Account of the various Sciences to ruhich Logarithms may be applied. / § l. To fnd by the table the Logarithm of any number. If the number be under too, it is eafily found In the firft divifion at the head of the firft page ; if it be betwixt 100 and 1000, over againft the number in the firft column of the following pages, in the next column under o will be found the logarithm required. .If the number be betwixt 1000 and 10000, the firft three figures of the number are to be found in the co¬ lumn marked N° and the fourth figure at the top, and in the column under it, lineally againft the firft three figures, will be found the logarithm required, changing the index 2 into 3. The column marked Diff. and Showing the common difference by which each of thefe columns increafes, Terves to find the logarithms of numbers beyond 10000. Thus, To fnd the logarithm for a number greater than any in the common canon, but lefs than lOOOOOOO.—Cut off four figures on the left of the given ilumber, and feek the logarithm in the table 5 add as many unites to the in¬ dex as there are figures remaining on the right; fub- traft the logarithm found from the next following it in the table ; then, as the difference of numbers in the canon is to the tabular diftance of the logarithms ahfwering to them, fo are the remaining figures of the given number to the logarithmic difference; which, if it be added to the logarithm before found, the fum will be the logarithm required. Suppofe v. gr. the logarithm of the number 92375 required. Cut off nhe four figures 9237, and to the chara fieri flic of the logarithm correfponding to them, add an unit; then, From the logarith. of the numb. 9238 = 3.965578 Subtract logarith. numb. 9237 = 3*96553i Remains tabular difference 47 Then 10 : 47 : : 5 : 23 Nov? to the logarithm ———4.965531 Add the difference found 23 The fum is the logarithm required.—4*965554 Or more briefly ; find the logarithm of the firft four •figures as before; then multiply the common diffe¬ rence which ftands againft it hy the remaining figures of the given number; from the produft, cut off as many figures at the right hand as you multiplied-by, and add the remainder to the logarithm before found, fitting it with a proper index. 'Thus 47X5 = 235 ; cut off 5 and add 23. To fnd the logarithm of a fradior.— Subtraft the lo¬ garithm of the numerator from that of the denomi- jsator, and to the remainder prefix the fign of fub- traction. Thus fuppofe it required to find the loga¬ rithm of the fraftion Logarithm of 7 = 0.845098 Logarithm of 3 = 0.47 7121 Logarithm of \ =—^•367977 The reafon of the rule is, that a fradtion being the quotient of the numerator divided by the denominator, its logarithm muft be the difference of the logarithms of thofe two ; fo that the numerator being fubtracted from the denominator, the difference becomes ne¬ gative. Stifelius obferved, that the logarithms of a proper fra'ftion muft always be negative, if that of unity be o ; which is evident, a fra&ion being left than one. Or, the logarithm of the denominator, though greater than that of the numerator, as in the cafe of a proper fraflion, may be fubtrafled from it, regard being had to the fign of the index, which alone iii that cafe is negative. Thus, Log. of 3 = 0.477121 Log. of 7 = 0.845098 Log. of 4 = 1.632023 which produces the fame effeft in any operation as that before found, viz. —0.367977, this being to be fubtrafted, and the. other to be added. Or again, the fraftion may be redneed to a ded- tnal, and its logarithm found ; which differs from that of a whole number only in the index,, which is to be negative. For an improper fraction v. gr. f, its numerator be- ing greater than its denominator, its logarithm is had by fubtra&ing the logarithm of the latter from that of the former. The logarithm of 9 = 0.9542425 Logarithm of5 = 6.0989700 Logarithm f= 0.2552725 In the fame manner may a logarithm of a mixt number, as 3 4) be found, it being firft reduced into an improper fraftion f. Or, this improper fraftion may be reduced to a mixed number, whofe logarithm muft be found as if it were wholly integral, and its index taken according to the integral part. We {hall here obferve, that the loga¬ rithms of whole numbers are added, fubtra&ed, &c. according to the rules of thefe operations in decimal arithmetic 5 but with regard to the martagement of logarithms with negative indices, the fame rules are to be obferved as thofe given in algebra for like and unlike -figns. In addition, all the figures except the index, are reckoned pofitive, and therefore the figure to be car¬ ried to the index from the other part of the logarithm takes away fo much from the negative index. Thus 1.86833264-3.698972= 1.562298. In fubtraftion, if either one or both of the logarithms have negative indices, you muft change the fign of the index of the La. III. L O G A R ixExplana- fubtfaliend, after you have carried to it what may arife iFaWe^&c6 fr°m ^ec*ma^ Part> and then add the indices: thus I,- ’ 1.562298—1.863326=3.698972. In multiplication, what is carried from the product of the other parts of the logarithms mull be fubtra&ed. from the product of the indices: thus 2.477121X5 = 8.385605. In di- viiion, if the divifor will exa To the given negative logarithm add the laft logarithm " of the table, or that of the number icooo ; i. e. fub¬ traCt the firft from the ffccond, and find the number correfponding to the remainder ; this will b,e the nume¬ rator of the fraction, whofe denominator will be 10000 ; v. gr. fuppofe it to be required to find the fraction correfponding to the negative logarithm °.3679767, fubtraCl this from 4.0000000 The remainder is 3.6320233,, the number corre¬ fponding .to which is 4285^0, the fraCtion fought therefore is r^ssr^sn- The reafon of the rule is, that as a fraCtion is the quotient, arifing on the divifion- of the numerator by the denominator, unity will be to- the fraCtion as the denominator to the numerator; but as unity is to the fraCtion correfponding to the given negative logarithm, fo is 10000 to the number corre- • fponding to the remainder: therefore, if 10090 be ta¬ ken for the denominator,, the number will be the nu¬ merator of the fraCtion required. The negative logarithm —0.367977 is equal to the logarithm 1.632023, and the number anfwering to- it, found in the manner already directed,, will be •4285Tinr. The fines, tangents, &c. of any arch areeafily founds by feeking the degree at the top, if the arch be lefs than 450,. and the minutes at the fide, beginning from the top, and by feeking the degree, See. at the bottom,, if the arch is greater than 450. If a given logarith¬ mic fine or tangent falls between thofe in the tables,, then the correfponding degrees and minutes may be reckoned j, or f, See. minutesmorethanthofebelong- ing to the neareft lefs logarithm in the. tables, accord¬ ing as its difference from the given one is or f, or f, &c, of the difference between the logarithm next greater and next lefs than the given log. § 2. Of the various Sciences to which Logarithms may be applied. As thefe artificial numbers conftitute a new fpecie-s of arithmetic capable of performing every thing which can be done in the old way, it is plain that its ufe muft be equally extenfive, and that in everyfcience in which common arithmetic can be ufeful, the logarithmic^! arithmetic muft be much more fo, byv reafon of its be¬ ing more eafily performed. Though the general prin¬ ciples of logarithmical arithmetic have been already laid down, we fhallhere, in order to render the fubjeCt (till more plain, fubjoin the following practical rules. I. Multiplication by Logarithms. Add together the logarithms of all the faCtors, and the fum is a logarithm, the natural number correfpond-* ing to which will be the produCl required. Obferving to add, to the fum of the affirmative indi¬ ces, what is carried from the fum of the decimal parts of the logarithms. * And that the difference betwixt the affirmative and negative indices is to bo taken for the index to the lo? garithm of the produCt. T Kt. 146 L O G A Divifi in which the divifor is contained juft 2 times ; and the 2 borrowed being carried to the other figures 6, &c. makes 2*6812412, which divided by 3 gives *8937471. In trigonometry, the ufe of logarithmical fines, tan-- gents, &c. are ufed as well as the common arithmetical logarithms ; and by ufing fliem according to the rules above laid down, the operations are ftiortened to a de¬ gree altogether incredible to perfons unacquainted with this invention. With equal facility are the problems in aftronomy and navigation folved by their means, as well as thofe of the higher geometry, fluxions, and in ffiort every thing which requires deep and laborious calculation. For the particular application of them to the different fciences, fee the articles Navigation^ . TrigonometrVj, &c. T 3 248 L O G A II I T H M S. Table. A Table of Logarithms from 1 to 10,000. Logat. Logar. N° Lcgar. 'N°'| Log; 0.000000 0.301030 0.477121 0.602060 0.698970 0.778151 0.845098 0.903090 0.954242 1.000000 1-041393 1.079181 I-113943 1.146128 1.176091 1.204120 1.230449 1.255272 1.278754 1.3 01030 1.322219 ^342423 23^.361728 2411.380211 I*39794° 1.414973 ^A31364 1.447158 1.462398 1.477121 1.491362 t-S0SlS° I-33I479 1.544068 1.556302 r.56820: 1.57978, 1.591065 1.602060 1.612784 1.622240 1.633468 1 *^43 453 Logar. 1.653212! 1.662758 1.672098 ’1.681241 1.690196 1.698970 1.707570 1.716003 1.724276 I-732394 7403^3 Logar. 1.748188 1*755875 1.763428 1.770852 1.778151 *•785330 1.792392 I*79934° 1.806180 1.812913 1-819544 Logar. 1.826075 1.832508! i.838849! 1.845098 1.851258 I-857332 1.863323 1.869232 1.875061 1.880814 1.88649 Logar. 1.892095 1.897627 .903090 .908485 1.913814 1.919078 1.924279 I,9294i9 1.934498 •9395*9 Logar. 1.949390 1.954242 I-959°4I 1.963788 1.968483 .973128 .977724 1.982271 1.986772 1.991226 •995635 N" 2.000000 2.004321 2.008600 2.012837 2.017033 2.021189 2.025306 2.029384 2.033424 2,037426 2.041393 2*045323 2.049218 2.053O78 2.056905 2.060698 2.0644 58 2.068x86 2.071882 2-075547 2.07918 2.082785 2.086360 2.089905 2.093422 2.096910 2.100371 2.103804 2.107210 2.110590 2.113943 2.11727 2.120574 2.123852 2.127105 2-I3°334 2-133539 2.136721 2.139879 2-143015 2.000434 2.004751 2.009026 2.013259 2-017451 2.000868 2.005180 2.009451 2.ofi368o 2.017868 : 2.001301 2.005609 2.009876 2.0141'QO 2.018284 2.021603 2.025715 2.029789 2.033826 2.037825 2.022016 2.026124 2.030195 2.034227 2.038223 2.022438 2.026533 2.030600 2.034628 2.038620 2.041787 2.045714 2.049606 2-053463 2.057286 2.042182 2.046105 2.049993 2.053846 2.057666 2.042575 2.046495 2.05038< 2-054*3° 2.058046 2.061075 2.064832 2.068557 2.072250 2.07591? 2.061452 2.065206 2.068928 2.072617 2.076276 2-079543 2.083144 2.086716 2.090258 2.093772 2.079904 2-083503 2.087071 2.090611 2.094122 2.097257 2.100715 2.104145 2.107549 2.110926 2.097604 2.101059 2.104487 07888 2.111262 2.114277 2.117603 2.120003 2.124178 2.127429 146: 2.117934 2.12123 2.124504 7752 2-i3o65.. 2-!33858 2.*37°37 2.140194 2-1433 27 2.130977 2.134177 2-137354 2.140508 2-i43639 2.042969 2.046885 2.050766 2.054613 2.058426 2.061829 2.065580 2.069298 2.072985 2.076640 2.080266 2.083S6: 2.087426 2.090963 2.094471 2.09795: 2.1.0140: 2.104828 2.108227 2.111598 ,944 2.118265 2.121560 2.124830 2.128076 2.131298 2.134496 2.137670 2.140822 2-143951 2.O01734 2.006038 2.010300 2.014520 2.018700 2.022841 2.026942 2.031004 2.035029 2.039017 2.062206 2-o65953 2.069668 2-°73352 2.077004 2.080626 2.084219 2.087781 2.°9i3i5 2.094820 2,098297 2.101747 2.105169 2.108565 2-HI934 2.115278 2.118595 2.121888 2.125156 2.128399 2.131619: 2.124814 2.137987 2.141136 2.144263 2.602166 2.OO6466 2,010724 2.014940 2.O19116 2.023242 2.027350 2.031408 2-03543° 2.039414 2.043362 2.047275 2.051152 2.054996 2.058805 2.062582 2.066326 ,2.070038 2.073718 1.077368 2.080987' 2.084576 2.088136 2-091667 .095169 2.098644 02090 2. 2-105510 2.108903 2.112270 1561 2.118926 2.122216 25481 2.128722 31939 2-135133 2.138303 2.141450 2-144574 2.002598 2.006894 2.611147 2.015360 2.019532 2.003029 2.007321 2.011570 2.015779 2.019947 2.023664 2.027757 2.031812 2.035830 2.039811 2.024075 2.028164 2.032216 2.036229 2.040207 2‘°43755 2.047664 2*°5i538 2-°55378 2.059185 2.044148 2.048053 2.051924 2.055760 2-0595^3 2.062958 2.066698 2.070407 2.074085 2.07773' .081347 2.084934 2.08849, 2.092018 2.095518 2.09899c 102434 2.ioc8c: 0924: 2.112605 5943 9256 2.122543 2.125806 2.129045 2.132260; 2*i3545 2.138618 2.141763 44885 2.044540 2.048442 2.052309 2.056142 2.059942 2*063333 2.067071 2.070766 2.074451 2.078094 2.081707 2.085291 2.088845 2.09237c 2.095866 2*°99335 2.102777 ,106191 2.109578 12940 2.116276 2.119586 2.1228711 2.126131 29368 2.003460 2.003891 2.007748 2.011993 2.016197 2.020361 2.024486 2.028571 2.032619 2.036629 2.040602 2.04493 2.048830 2,052694 2.056524 2,06332c 2.063 709 2.067443 2-071145 2.074816 2-°78457 2.082067 2.085647 2.089198 2.092721 2.096215 2.099681 2.103119 0653 2.109916 2-113275 2.116608 19915 2.123198 2.126456 2,12969c 2,008174 2.012415 2,016615 2.020775 2.024896 2.028978 2.033021 2.037028 2.040998 2.064083 2.067814 2.071514 2.075182 2.078819 2.082426 2.08600: 2.089552 2.09307 2.096562 2.100026 2.10546: 2.106870 2.110253 2.113609 2.11694c 2,12024c 2.123525; 2.126781 2.130012 2.132580 2.132900 2.13 5768 2.136086 2.13893412.139249 2.142076(2.142389 2.133219 2.136403 2.139564 2.142702 2,145196;2.i45507 2.145818 393 389 386 382 379 36c 357 3i> 35i. 349 Table. logarithms; 149 l5o LOGARITHMS 2.290035 2.292256 2.294466 2.296665 2.298853 2.290257 2.292478 2.29468.7 2.296884 2.299071 2.301030 2.303196 2-3°i?3-5I 2.307496 2.309630 2.290480 2.292699 2.294907 2.297104 2.299289 12.301247 2.303412 2.305566 2.307710 2.309843 2.301464 2.303628 2-3°578 2.3°7924 2.310056 .290702 .292920 •295I27 •297323 .299507 .301681 •303844 •305996 .308137 .310268 I ,291369 •293583 •295787 •297979 2.29972512.299943! 2.300160 2.290925 2.291147 2.2 2.293I4l|2.293362[2.2 2-295347i?-295567 2.2 2-297542]2.29776o 2.2 2.301898,2.302114 2.304059 2.306210 2.308351 2.310481 ‘ 2.304275 2.306425 2.308564 2.310693 -30233 '•304490 ,.306639 ,308778 ,310906 2.291.591 2.293804 2.296007 2.298198 2.300378 2-302547 2.304706 2.306854 2.308991 2.311118 2.291813 2.29402 5 2.296226 2.298416 2-300595 1.302764 2.304921 2.307068 2.309204 2-3II33° 2.292034 2.294246 2.296446 2.29863 c 2-30o8i3 2.30298c 2-3°5i36 2.307282 2.3 09417 2.3H542 2-3”754 2.3i3867 2-315970 2.318063 2.320146 2.311966 2-3i4°78 2.316180 2.318272 2-320354 2.312177 2.314289 2.316390 2.318481 2.320562 :.3X 2389 2.314499 ■3^599 2.318689 2.320769 2.312600 2"3147I 2.316809 2"3I " 2.320977 2.312812 2.31492,0 2.317018 2.319106 2.321184 2.343P23 2*315I30 2.317227 2‘319314 2.32139! 2.313324 2-315340 2.317436 2.3I9523 2.321,598 2"313 445 2-315550 2.317645 2-31973° 2.321805 2.3i3656 2-3i576o ;:2-327854 2.319938 2.322012 2.^22219 2.324282 2.326336 2.328380 2.330414 2.322426 2.324488 2.326541 2.328583 2.330617 2.322633 2.324694 2.326745 2.328787 2.330819 .322839 2.324899 2.326950 .328991 2.331022 2.323946 2.325105 2-327I54 2"329I94 2-331225 •323252 2.325310 2.327359 2.329398 2-33i427 2-323458 2'3255i6 2-327563 2.329601 2.331629 '2.323664 2.325721 2.327767 2.329804 2.33183 2 2.323871 .325926 2"327972 2.330008 ■33 2°34 2.324077 2.326131 2.328176 2.33021! 2.332236 2.332438 2-334454 2.336460 2-338456 2.340444 2.332640 2-334655 2.336660 2,338656 2.340642 2.332842 2-334856 2.336860 2-338855 2.340840 2.333044 2-335056 2.337060 2.339054 2.341039 2.333264 2.335257 2.337260 2-339^53 2-341235 2.333447 2.335458 2.337459 2.33945 2.34143 4 2.333649 2.335658 2-3376S9 2-339650 2-34i632 2-333850 2-335859 2-337858 2-339849 2.341830 •334051 ■336059 .338058 2.340047 2.342028 ■334253 ■336259 2.338257 2.340246 2.342225 2.342423 2.344392 2-346353 2.348305 2.350248 2.342620 2-344589 2.34654c 2.348500 2,350442 2.3428172.343014 2-344785 2.346744 2.348694 ■350636 2.344981 2.346939 2.348889 2.350829 2.352182 2.354108 2.356026 2-357935 2-359835 2.352375 2.354301 2.356217 2.358125 2.360025 2.352568 2-354493 2.356408 2-358316 2.360215 ,361728 2.363612 2.365488 .367356 2.369216 2.36i9i7 2.363800 2-365675 2.367542 •36940 2.362105 2.363988 2.365862 2.367728 2.*3695§7 2. 2.343212 2-345178 2-347135 2.349083 2.351023 2.343409 2-345374 2-347330 2.349277 2.351216 2-343605 2.345570 2.347525 2.349472 2’3515°o 2.343802 2.345766 2.347720 2.349660 2.351603 ■343999 .34596 2-3479I5 2.349860 2-352796 .344196 2-346157 2.348110 •2.350054 •35r989 2.352761 2.354684 2-356599 2.358506 2.360404 2-352954 2.354876 2.356790 2.358696 2-360593 2-353 M6 2.355068 2.356981 2.358886 2.360783 2-353339 2.355260 2.357172 2.359076 2.360972 2.353532 2-355451 2-357363 2.359266 2.361161 2.353724 2.355643 2.357554 2.359456 ••361350 2-353926 2.355834 3)357744 2.359646 2.361539 .362294 .364176 .366049 •3679I5 .369772 2.362482 2-364363 2.366236 2.368101 .369958 2.36267: 2.364551 2.366423 2.368287 2-370I43 ,362859 •364739 ,366700 .368473 ,370328 2.363048 2.364926 2.366796 2.2686 CQ 2-3705I3 2.363236 2-365ii3 2.366083 2.368844 2.370698 2.363424 2-3653°i 2.367169 2.369030 70883 2.371068 2.372912 2.374748 2.376577 -378398 2-371253 2.373096 2-374931 2-376759 2.37858c 2.37I4372. 2.3732802. 2.375II5|2' 2.3769422, 2.378761 2, 2.380211 2.382017 2.383815 2.38 5606 2.387390 2.380392 2.382197 2.383995 2-385785 2.387568 2-380573 2.382377 2^384175 2.385964 2.387746 2.389166 2.390935 2.392697 2.394452 2-396199 2-389343 2.391112 2.392873 2.394627 •396374 2.389520 2.391288 2.393048 2.394802 2.396548 .3716^2 '373464 •375298 ,377124 •378943 2.371806 2-373647 2.37548i 2.377306 2.379124 2.37199 2-373831 2-375664 2.377488 2.379305 -372175 -374015 -375846 -377670 -379487 2.372360 2.374198 2.376029 2-377852 2.379668 2-372544 2.374382 2.376212 .378034 •379849 ■37272% 2-374565 2-376394 2.378216 2.380030 -380754 -382557 -384353 :.386i42 -387923 1.380934 1-382737 1.384533 1.386321 1.388: 1.381115 1.382917 1.384712 1.386499 1.388279 .381296 -383097 .384891 .386677 .388456 2.381476 2.382277 2.385070 2.386855 2.388634 2.381656 2.383456 2.385249 •387034 1.38183' ,383636 •385427 •387212 .388989 181] I8°! I79f. 178 178! -389697 -391464 ,393224 .394977 •3967 .389874 •39i64i .393400 •395 252 .396869 .390051 .391817 •393575 •395326 •^7,07; .390228 •39 2 993 •393752 •395501 •397245 2.3904052.390582 2.392x69,2,392345 2.3939262.394201 2.395676j2.395850 2.3974282.397592 .390758 •3925 21 .394276 .396025 •397766 277 „ 276} ,2 76[ 2 75?' Table* Table. LOGARITHMS. 2-39794°'2-398ii4 2-3996742-399847 2.401400 2.401573 2.40-312oj 2.403 292 254 2.40483412.405005 2.406540 2.400710 2.408240 2.408409 2-4°9933 2.411620 2-4I330° !<4I4973 2i4I5I4° 2.416640 2.416807 2.418301 2-4I995^ 2.421604 2.423246 2.424882 2.426511 2-428i35 2-429752 2.431364 2.432965 2-434569 2.436163 2.437751 2.3982872. 2.400020 .401745 2.40346. 2-4°5I75 2.410102 2.4x1788 2.413467 2.40688 2-4o8579 2.410271 2.41x956 2-4i3635 2.4x8467 2.420121 2.421768 2.423410 2.425045 2.426674 2.428297 2.4299x4 2-4315 25 2.433129 2.434728 2.436322 2.437909 2-439333 2.440909 2.442480 2.444045 2.445604 2.447158 2.448706 2.450259 2.451786 2-4533l8 2-454845 2.456366 2.45788: 2-459392 2.460898 2.462398 2.463893 2.46 5383 2.466868 2.468347 2.439491 2.441066 2.442636 2.444201 2.445760 I 24153°7 2.416973 2.418633 2.420286 2.421933 2.415474 2.417139 2.418798 2.420451 2.422097 2-423573 2.425208 .426836 2.428459 2.430075 2.423737 2.425371 2.426999 2.428621 2.430236 2.431685 2.433290 2.434888 243648 2.438067 2.431846 243345° 2.435048 2.436640 2.438226 2.439648 2.441224 2.442793 2-444357 24459I5 24473 J3 2.448861 2450403 2.451940 2453471 2.447468 2449015 2450557 2.452093 2.453624 2-454997 2.4565x8 2458033 2459643 2.461048 2.462548 2.464042 2465532 2.467010 2468495 2.469822 2. 471292!: 2.47275^2. 24742162. _ _ 247567*1247581612475962 2.469969 247x438 2.472903 2.474362 2455149 2.456670 2.458184 2459694 2.461198 2.462697 2464191 2.465680 2.467164 2.468643 24701 2471585 2.473049 2.474508 300 2.47712112.477266^.477411 2.477555 301 2.4785662.4787112.4788552.478999 302 2.480007 2.480151 2.480294 2.480438 303 2.48x443 2.481586 24817292.481872 30412482874.2.4830x6 2483i59l2.4833Q2 .398461 406192 401917 403635 405346 40705 .408749 .410440 .412124 .41380: 2.415641 2.417306 2418964 2.420616 2.422261 2.423001 2425534 2427161 2.428782 2.430398 2.439806 2441381 2442950 244451. 2.446071 2447623 2.449170 2.450711 2452247 2453777 2455302 2.456821 2458336 2.459845 2.461348 I 5 i ■3986342.; 400365.2. .402089 2. 403807 2. 4055172. 407221 .408918 .410608 4x2292 .4x3970 2.415808 2417472 2.419129 2.420781 2.4I2426 2.424064 2424697 2.427324 2.428844 2430559 2.432007 2.433610 2.435207 2.436798 2.438384 2439964 2441538 2.443106 2.444669 2.446226 2447778 2.449324 2.450865 2452400 245393° 2455454 2456973 2458487 2-459995 2.461498 2.462847 2.462997 2.464340 2.465829 2467312 2.468790 2.464489 2.465977 2.467460 2.467608 2.468938 2.469085 2.470263 2.471732 2.473195 2474653 2.47610; .398808 2.; 400538 2.. 402261 2. 4°3978|2. 405688:2. 40071 402433 404149 405858 2.399154 2.400883 2.402605 2.404320 2.406029 407391 .409087 .410777 .412460 4i4i37 2415974 . 2.417638 2.417804 2419295 2.420945 2421x10 2.422590 2.422750 2.424228 2.425860 2.427486 2.429106 2.430720 2432167 2433770 2435366 2436957 2.438542 2.440122 2441695 2443263 2.444825 2446382 2-447933 2.449478 2451018 245?553 2.454082 2.455606 2457125 2.458638 2.460146 2.461649 40756 409257 410946 4x2628 ■414305 I 9 biTj •399327 401056 •402777 .404492 406199 2.40773 2.409426 2.4x1114 2.412796 2.414472 2.416141 2.424391 2.426023 2.427648 2.429268 2.430881 2.432328 2.433930 2-435526 2.437116 2.438705 2.432488 2.434090 2-435685 2.437275 2.438859 2.440279 2.441852 2.443419 2.444891 2.446537 .440439 2.442009 2-443576 2-445137 2.446692 2.448088 2.449633 2.451172 2.452706 2-454235 2-455758 2.457276 2.458789 2.460296 2.461799 2.463146 2.463295 2.464638 2.464787 2.466125 .47041 .471878 .473341 •474799 .476252 .477700 .479143 .480582 .482016 •483445 2.466274 2.467756 2-469233 2-470557 2.472024 2.473487 2.474944 2.476396 2.477844 2.479287 2.480725 2.48215^ 2.483587 >42. 2.47070^ 2.472171 2.473633 2.47 co8o: 2.476542 2.416308 2.417970 2.419625 2.421275 2.422918 2.424555 2.426186 2.42781 2.429429 2.43x042 2.432649 2.434249 2.435844 2.437433 2.4390x0 2.448242 2.449787 2.4 ex 326 2.452859 2.454387 2.455910 2.457428 2.458940 2.460447 2.461948 2-463445 2.464936 2.466423 2.467904 2.469380 .47085: 2-47 231' 473779 2.475235 2.476687 .407900 •409595 ■411283 .412964 •414639 .408070 170 2.409764 169 ,41145 2.413132 2.414806 2.416474 2.418135 2.419791 2.421439 2.423082 2.424718 2.426349 ■427973 2.429591 2.431203 2.432809 2.434409 2.436003 .2.437592 2.439175 2.440594 2.442166 2.443732 2.445293 2.446848 2,448397 2.449941 2.451479 2.453012 2.454540 2.456062 2.457579 2.459091 2.460597 2.462098 2.463594 2.465085 2.466571 2.468052 2.469527 2.470998 2.472464 2.473925 |2*47538 2.47683: 2.477989 2.478133 2.478278 2.479431 _ 2.480869 ;9 2.482302 2.483720 2.479575 2.479719 2.481012 2.481156 2.482445 2.482588 2.483872l2.484Gi5!2.484i5' 3995o: .401228 402949 :.43466^ 406370 2.440752 2.442323 2.443888 2.445448 2.447003 2.448552 •450095 2.451633 2.453165 2.454692 2,456214 2.457730 2.459242 2.460747 2.462248 2.463744 2.465234 2.466719 2.468199 2.469675 2.471145 2.472610 2.474070 2.475526 2.476976 2.47842: 2.479863 2.481299 2.48273 ,5I *52 W LOGARITHMS. Table. 3°5 2484300 306^.485721 307,2.487138 30812.488551 309 2.489958 2.484442 2.485863 2.487280 2.488692 2.490099 3IO|2-49I3^2 31112.492760 3122.494155 '3I3i2-595544 3142.496930 2.484584'2.484727 2.484869 2.486oo5'2.486i47 2.486289 2.48742i;2.487563!2.487704 2.488833I2.488973 2.489! 14 2.490239;2.49028o'2.49Q52o 2.491502 2.492900 2.494294 2.495683 2.497068 1.491642 2. :.49304o'2. :-494433 1.495822 1.497206 .491782,2.4 ■493I79 2-4 ■4945722.4 .491922 •493319 . 494711 .495960 2.496099 ■497344 2.497432 I 2.485011 2.485153I2.485295 2.485437 2.485579 2.486430 2.486572 2.486714 2.486855 2.486997 2.487845l2.487986.2,488i27l2.488269 2.488409 2.489255I2.489396 2.439537I2.489677 2.489818 2.490661 2.490801 2.490941 2.491081 2.491222 .492062! 2. •493458j2. .494850 .496237 .497621 .492201 •493597 .494989 .496376 ■497759 2.492341 2-493737 2.495128 2.496514 2.497897 2.492481 2.493876 2.495267 2.496653 2.498035 2.492621 2.494015 2.495406 139 2.496791 2.498173 '511: 2.49831 2.499687 2.501059 2.502427 2.503791 2.498448:2. 2.499824 2. 2.50119612. 2.502564 2. 2.503927 2. .498586 .499962 •501333 .502700 ,504063 ,.498724 .500099 .501470 .502837 .504199 1.498862 1.500236 ,.5.01607 1.502973 -504335 .498999 •500374 .501744 .503109 .504471 •499I37 ,.500511 ,.501880 .563246 .504607 2.499275 2.500684 2.502017 2-503382 2-504743 2.499412 2.50078 c 2.502154 2.503518 2.504878 499549 2.500922 2.502290 2-503654 2.505014 ^38 l37 137 136 2.COCI to 2.506505 2.507856 2.509202 2-510545 2.505286 2.506640 2.50799! 2-509337 2.510679 2.505421 2.506775 2.508125 2.509471 2.51081 2.505557 2.506911 2.508260 2.509606 2.510947 2.505692 2.507046 2.508395 2.509740 2.511081 2.505828 2.507x81 2.508510 2.509874 2.51x215 2-505963 2.507316 2.508664 : 2.510008 2.5x1348 2.506099 2-50745I 2.508799 2.510143 2.511482 2.506234 2.507586 ;-5o8933 2.51M77 2.511616 2.506369 2.507721 2.509068 2.510411 2.5x1749 136 I35 135 !34 *34 2.511883 2.513218 2.514548 2.5i5874 2.517196 2.512017 2.5133# 2.514680 2.516006 2.5x7328 2.512150 2-513484 2.5x4813 2.5x6139 2.517460 2.512284 2.513617 2.5x4946 2.5x627 2.517592 2.512417 2.513750 2-515079 2.516403 2.517724 2-512551 2-513883 2.5152x1 2.5i6535 2.517855 2.512684 2.514016 2-5I5344 2.516668 2.517987 2.512818: 2.514149 2.515476 2.516799 2.518119 2.51295 2.514282 2.5x5609 2.516932 2.5x8251 2.513084 2-5I44I5 •5i574i 2.517064 2.5x8382 2.518514 2.5x9828 2.521138 2.522444 2.523746 2.51864c 2.519959 2.52x269 2.522575 2.523876 2.518777 2.520090 2.521400 2,522705 2.524006 2.518909 2.520221 2.521530 2.522835 2.524136 2.519040 2.520352 2.521661 2.522966 2.524266 2.519171 2.520483 2.521792 2.523096 2.524396 2.519303 2.520614 2.521922 2.523226 2.524526 2-5i9434 2.520745 2.52*053 2.523356 2.524656 2.519565 2.520876 2.522183 2.523486 •524785 2.519697 2.521007 2.522314 2.523616 2.5249x5 2.525045 2.526339 2.527630 2.528917 ,539200 2.525m' 2.526468 2.527759 2.529045 2.530328 2.525304 2.526598 2.527888 2.529x74 2.530416 2.525433 2.526727 2.528016 2.529302 2.530584 2-525563 2.526856 2.528145 2.529430 2-5307 2.525692 2.526985 2.528274 2.529559 2.530839 2.525822 2.527x14 2.528402 2.529687 2.530968 2-52595* 2-527243 2.528531 2.529815 2.53I095 2.526081 2.527372 1.528660 2-5 29943 2.53x223 2.526210 2.527501 2.528788 2.530072 2-53X35i 2.53I479 2.532754 2.534026 2-535294 2-536558 2.531607 2.532882 2.534153 2.535421 2.536685 2.531734 2.533009 2.534280 2-535547 .536811 2.531862 2-533136 2.534407 2.535674 2-536937 2.53x989 2.533263 2-534534 2.535800 2.537063 2.532117 2-53339 2.534661 2.535927 2.537x89 2-532245 2.5335x8 2.534787 2-536053 2-5373X5 2.532372 2-533645 2.5349X4 2.536179 2.532499 2-533772 2.535041 2.536306 2.537441 2.537567 2.532627 2.533899 2.535167 2.536432 2.537693 2.5378192.537945 2-539076 2.539202 2.540329 2.540455 2.541579,2.541704 2.542825-2.542950 2.53807: 2.539327 2.540580 2.541829 2.543074 2.538197 2-539452 2.540705 2-54X953 2.543199 2.538322 2.539578 2.540830 2.542078 2.543323 2.538448 2.539704 2.540955 2.C42203 2.543447 2.53857* 2.539828 2.541080 2.542327 2-543571 2.538699 2.538825 2.538951 2-539954 2-540079 2.5412052.541330 2.542452 2.542576 2.543696 2.543820 2.540204 2.541454 2.542701 2-543044 2.544068 2.544192 2.545307 2.54543I 2-5465432.546666 2-547775|2.547898 2.549003 2.549x26 2.5443x6 2.545554 2.546789 2.548021 2.549249 2.544440 2.545678 2.546913 2.548144 2-54937 2.544564 2.545802 2.547036 2.548266 2-549494 2.544688 2.545925 2.547159 2.548389 2.549616 2.544812 2.546049 2.547282 2.548512 2-549739 2.544936 2.546172 2.547405 2.548635 2.549861 2.545060 2.546296 2.547529 2.548758 2.549984 2.545183 2.546419 2.547652 2.548881 2.550106 355 2.550228 2.550351 3562.5514502.551572 2.55266812.552790 2-553883!2.554oo4 2-555°94 2.55521 ^ 2.550473 2.55I694 2.552911 2.554x26 ■555336 2.550595 2.551816 2.553033 2.554247 •555457 2.550717 2.55I938 2.553X54 2.554368 2.55084O 2.552059 2.553276 2.554489 555699 2.550962 2.552181 2-553397 2.554610 2.555820 2.551084 2.5523°3 2-5535X9 2-55473X 2.551206 2.552425 2.553640 2.554852 2.555940 2-55606: 2.551328 2.552546 2.553762 2-554973 2.556182 **>184, Table. LOGARITHMS. 3 8 2.556302 2-S57S°7 2.558709 2.559907 2.56x101 2.556423 2.557627 2.558828 2.560026 2.561221 2.556544: 2.557748 2.558948 2.560146 2.56x340 ::2.556664 2.557868 2.559068 2.560265 2.561450 2.556785 2.557988 2.559188 2.560385 2.561578 2.556905 2.558108 2.559308 2.560504 2.561697 2.557026 2.558228 2.559428 2.560624 2.561847 2-557146 2.558348 2.559548 2.560743 2.561936 2.557266 2.558469 2.559667 2.560863 2.562055 2-557387 2-558589 2-559787 2.560982 .562174 2.562293 2.563481 2.564666 2.5/55848 2.567026 2.562412 2.563600 2.564784 2.c6cq66 2.567144 2.562531 2.563718 2.564903 2.566084 2.567262 2.562650 2-563837 2.565021 2.566202 2.567379 2.562768 2-563955 2-565139 2.566320 2.567497 2.562887 2.564074 2-565257 2.566437 2.567614 2.563006 2.563125 2.564192 2.565375 2-566555 2.567732 2.56431 2.565494 2.566673 2.567849 2.563237 2.564429 2.56561: 2.56679 2.567967 2-563363 2.564548 2-565730 2.566909 :.568o84 2.568202 2.569374 2.570543 2.571709 2.572872 2.568319 2.569491 2.570660 2.571825 2.572988 2.568436 2.569608 2.570776 2.571942 2.573I04 2.568554 2.569725 2.570893 2.572058 2.573220 2.56867 569842 2.571010 2.572174 2.573336 2.568788 2-569959 2.571126 2.572291 2.573452 2.568905 2.570076 2.571243 2.572407 2.573568 2.569023 2.570193 2.57I359 2.572523 2.573684 2.569140 2.570309 2.571476 2.572639 2.573800 2.569257 .570426 2.57x592 2"572755 2-5739I5 2-574031 2*575i: 2-576341 2.577492 2.578639 2.574147 2.575303 2.576456 2.577607 2-578754 2.574263 ■575419 2-576572 2.577721 2.578868 2-574379 2-575534 2.576687 2.577836 2-578983 2-574494 2.575650 2.576802 2-57795I 2.579097 2.57461c 2.575765 2.57691^ 2.578066 2.579212 2.574726 2.575880 2.577032 : 2.57818 2.579326 2.57484 2.575996 2.577I47 2.578295 2-579441 2.574957 2.576111 2.577262 .5784x0 2-579555 .575072 .576226 •577377 - •578525 115 .579669 114 2.579784 2.580925 2.582063 2.583199 2.58433I 2.579898 2.581039 2.582177 2.58331 2 2.584444 2.580012 2.58II53 2.582291 2.583425 2.584557 2.580126 2.581267 2.582404 2.583539 2.58467 2.580240 2.581381 2.582518 2.583652 2.584785 2-580355 2.581495; 2.582631 2.583765 2.584896 2.580469 2.581608 2.582745 2.583879 2.585009 2.580583 2.581722 2.582858 2.583992 2.585122 2.580697 2.581836 2.582972 2.584105 ■585235 .580811 .581950 .583085 .584218 ■585348 2.585461 2.586587 2.58771X 2.588832 ,58995, 2.585573 2.5867QO 2.587823 2.588944 2.59006 2.585686 2.586812 2.587935 2.589055 2.59OI73 2.585799 2.586925 2.588047 2.589x67 2.590284 2.585912 2-587037 2.588160 2.589279 2.590396 2.586024 2.587149 2.58827" !-58939: ■•590507 2.586137 2.587262 2.588384 2.589503 2.5906x9 2.58625c 2.5873/'4 2.588496 2.589614 2.59073P .586362 2.587486 2.588608 2.589726 2.590842 2.58647; 2-58759S 2.58872-: 2.58983S 2-S9°9S3 2-S9°9S3 2.592177 2.593286 2.594392 2.595496 2.591176 2.592288 2.593397 2-594503 2.595606 2.591827 2.592399 2.593508 2.594613 2"5957I7 2.59x398 2.5925i° 2.592618 2.594724 2-595827 2.591510 2.592621 2-593729 -594834 2-595937 2.59162 2.592932 2.593840 2-594945 2.596047 2.591732 ,592843 2-593950 2-595055 -596157 2.591843 2.592954 2.594061 2.595165 2.596267 2,59r955 2.593064 2.594171 •595276 •596377 .592066 z-593175 2.594282 ■595386 .596487 2-596597 2-597695 2.598790 2.599883 2.600973 2.602060 2.663144 2.604226 2.605305 2.606381 2.596707 2.597805 2.598900 2.599992 2.601082 2.596817 2.597914 2.599009 2.60010: 2.601190 2.596927 2.598024 2.599119 2.600210 2.601299 2.597037 2.598134 2.599228 2.600319 2.601408 2.597x46 2-598243 2-599337 2.600428 2.60x517 .597256 .598353 .599446 .600537 .601625 2.597366 2.598462 2.599556 .606646 •601734 2.597476 2-598572 ■599665 .600755 2.601843 2-597585 2.59868 2-599774 2.600864 .60105 2.602168 2.603253 2-604334 2.605413 2.606489 2.602277 2.603361 2.604442 2.605520 .6o'6596 2.602386 2.603469 2.604 5 5° 2.605628 2.606704 2.602494 2.603577 2.604658 2.605736 2.6068 xx 2.602602 .603685 2.604766 2.605843 2.606918 .6027: .603794 .604874 •605951 .607026 2.602819 2.603902 2.604982 2.606059 2.607133 ..SozyzS 2.604010 2.605089 2.606166 2.607240 2.603036 2.604118 2.605197 2.606274 .607348 2.607455 2.608526 2.609594 2.610660 2.611723 2.607562 2.608633 2.609701 2.610767 2.611829 2.607669 2.608740 2.609808 2.610873 2.611936 2.607777 2.608847 2.6099x4 2.610979 2.6x2042 2.607884 2.608954 2.6X0021 2.611086 2.612148 2,60799: 2.609060 2.610128 2.611192 2.612254 2.608098 2.609167 2.610234 2.6x1298 2.612360 2.^08205 2.609274 2.61034 2.6x1405 2.612466 .6083 2.609381 2.610447 2.611511 2.612572 2.608419 2.609488 2.610554 2.611617 .612678 2.612784 2.613842 2.614897 2.615950 2.612890 2.613947 2.615003 2.616055 2.6x7000 2.617105 Vol. X. Part I. 2.612996 2*6i4°53 2.615108 2.616160 161J210 2.6x3102 2.614159 2.615213 2.616265 2-617315 2.613207 2.614264 2.615319 2.616370 2.617420 2.613313 2.614370 2.615424 2.616475 2.617524 .613419 2.614475 2.615529 2,616580 2.617629 2.613525 2.614581 2.615634 2.616685 2-6I7734 2.613630 2.614686 2.615740 2.616790 2.6.17839 .613736 .614792 -615845 2.616895 2.617943 u 153 *54 LOGARITHMS. Tabic. 3 TSIE 2.6x8048 2.619093 2.620136 2.621176 2.622214 2.618x53 2.619198 2.620240 2.621280 2.622318 2.618257 2.619302 2.620244 2.621384 2.62242: 2.618362 2.619406 2.620448 2.621488 2.622525 2.618466 2.619511 2.620552 2.621592 2.622628 2.61857 2.619615 2.620656 2.621695 2.622732 .618675 .619719 .620760 .621799 1.622835 2.618780 2.6x9823 2.620864 2.621903 2.622939 2.618884 2.619928 2.620968 2.622007 2.623042 2,6x8989 2.620032 2.621072 4.622110 2.623146 2.623249 2.624282 2.625312 2.626340 2.627366 2-623353 2.624385 2.625415 2.626443 2.627468 2.623456 2.624488 2.625518 2.626546 2.62757 2-623559 2.624591 2.625621 2.626648 2.627673 2.623663 2.624694 2.625724 2.626751 2.627775 2.623766 2.624798 2.625827 2.626853 2.627878 .623869 :.62490i .625929 1.626956 1.627980 2.623972 2.625004 2.626032 2.627058 2.628082 2.624076 2.625107 z.626135 2.627161 2.628184 2.624179 2.625209 2.626238 2.627263 2.628287 2.628389 2.629410 2.630428 2.631444 -2.632457 2.62849: 2.629511 2.630529 2-631545 2.632558 2.628593 2.629613 2.630631 '2.631647 2.632660 2.628695 2.629715 2.630733 2.631748 2.632761 2.628797 2.629817 2.620834 2.631849 2.632862 .2.628901 2.629919 2.630936 2.631951 .632963 2.629002 2.630021 2.631038 2.632052 2.633064 2.629104 2.630123 2.631139 2.632153 2.633x65 2.629206 2.630224 .631241 •632255 2.633266 2.629308 2.630326 2.631342 2-632356 2-633367 ,633468 2.634477 2.635484 2.636488 2.637490 2.633569 2.634578 2-635584 2.636588 2.637590 2.633670 2.634679 2-635685 2.636688 2.637690 2.63377I 2.634779 2-635785 2.636789 2.637790 2.633872 2.635886 2.636889 2.637890 2.633973 2.634981 2.635986 2.636989 2.637990 2.634074 2.635081 2.636086 2.637089 2.638090 2-634175 2.635182 2.636187 2.637189 2.638190 2.634276 2.625282 2.636287 2.637289 2.638289 2-634376 2-635383 2.636388 2.63739° .638389 100 roo : 2.638489 2.639486 2.640481 2.641474 2.642464 2.638589 2.639586 2.640581 2.641573 2.642563 2.638689 2.639686 2.640680 2.641672 2.642662 2.638789 2.639785 2.640779 2.641771 2.642761 2.639885 2.640879 2.641870 2.642860 2.639984 2.640978 2.641970 2.642959 2.639088 2.640084 .641077 2.642069 2.643058 2.639188 2.640183 2.641176 2.642168 2.643156 2.639287 2.640283 2.641276 2.642267 2-643255 •639387 .640382 •64x375 .642366 •643354 2-643453 2.644439 2.645422 2.646404 2-647383 2.64355X 2-644537 2.645520 2.646502 2.64748: 2.643650 2.644635 2.645619 2.646600 2.647578 2.643749 2.644734 2.6457x7 2.646698 2.647676 2.643847 2.644832 2.645815 2.646796 2.647774 2.643946 2-644931 2-6459x3 2.646894 2.647872 2.644044 2.645029 2.646011 2.646991 2.647969 2.644143 2.645127 2.646109 2.647089 2.648067 2.644242 2.645226 2.646208 2.647187 2.648165 •64434' •645324 .646206 .647285 .648262 2.648360 2.649335 2.650307 2.651278 2.652246 2.648458 2.649432 2.650405 2-651375 2-652343 2.648555 2.649530 2.650502 2.651472 2.652440 2.648653 2.649627 2.650599 2.651569 2.652536 2.648750 2. 2.649724 2.650696 2.651666 2.652633 1.648848 2.649821 2.650793 2.651762 2.652730 2.648945 2.649919 2.650890 2.651859 2.652826 2.649043 2.650016 2.650987 2.651956 .652923 2.649140 2.650113 2.651084 2.652053 2.653019 2.649237 2.650210 2.651181 2.652150 2.653116 2.653212 2.6 C4176 2.655138 2.656098 2.657056 2-653309 2.654273 2-655234 2.656194 2.657151 2.653405 2.654369 2.655331 2.656290 2.657247 2.653502 2.654465 2.655427 2,656386 2-657343 2-653,598 2.654562 2-655523 2.65648 2.657438 2-653695 2.654658 2.6cc6io 2-656577 2.657534 2.653791 2.654574 2-655714 2.656673 2.657629 2.653888, 2.654850 2.655810 2.656769 2-657725 2.653984 2.654946 2.655906 2.656864 2.657820 2.654080 2.655042 2.656002 2.656960 2.657916 2.658011 2.658965 2.659916 2.660865 2.661813 2.658107 2.659060 2.660011 .660960 2.661907 2.658202 2-659x55 2.660106 2.661055 2.662002 2.658298 2.659250 2.660201 2.661150 2.662096 2.658393 2.659346 2.660296 2.661245 2.662191 2.658488 2.659441 2.660391 2.661229 2.662285 2.658584 2.659536 2.660486 2.661434 2.662380 2.658679 2.659621 2.660581 2.661529 2.662474 2.658774 2.659726 2.660676 2.661623 2.662569 2.658870 2.659821 2.660771 2.661718 2.662663 2.6627 58 2.663701 2.664642 2.66558 2.666518 2.662852 2.663795 2.664736 2.665675 2.666612 2.662947 2.663889 2.664830 2.665768 2.666705 2.663041 2.663983 2.664924 2.665862 2.66215 c 2.664078 2.665018 2.665956 2.666799 2.666892 2.663230 2.664172 2.66 5112 2.666050 2.666986 2.^63324 2.664266 2.665206 2.666143 2.667079 2.663418 2.664360 2.665299 2.666237 2.667173 2.663512 2.664454 2-665393 2.666331 2.667266 .663607 .664548 •665487 .666424 •667359 94 2.667453 2.668386 2.669317 2.670246 2.67 x 173 2,667546 2.668479 2.669410 2.667640 2.668572 2.669503 2.6703392.670431 2.671265 2.671358 2.667733 2.667826 2.668665 2.668758 2.669596,2.669689 '2.67o524]2.67o6i7 2.67i45i!2.67i543 2.667920 2.668852 2.669782 2.670710 2.671636 2.668013 2.668945 2.669874 2.670802 2.671728 2.668106 2.668199 2.669038 2.669131 2.669967I2.670060 2.670895-2.670988 2.671821^.671913 .668293 .669224 .670153 .671080 .672005 1 Table. LOGARITHMS. 8 T5nr 2.672098 2.673021 2.673942 2.674861 2.675778 2.672190 2.6731x3 2.674034 *-674953 2.675S70 2.672283 2.673205 2.674126 2. 2.675045 2.675961 2.672375 2.673297 2.674218 2.675x36 2.676053 2.672467 2.673390 2-6743i5 2.675228 2.676145 2.672560 2.673482 2.674402 2.675320 2.676236 2.672652 2-673574 2.674494 2.6754x2 2.6763 28 2.672744 2.673666 2.674586 2.675503 2.676419 2.672836 2-673738 2.674677 2.675595 2.67651 2.672929 2.673850 2.674769 2.675687 2.676602 2.676694 2.677607 2.678518 2.679428 2.680335 2.676785 2.677698 2.678609 2-679519 2.680426 2.676876 2.677789 2.678700 2.679610 2.680517 2.676968 2.677881 2.678791 2.679700 2.680607 2.677059 2.677972 2.678882 2.679791 2.680698 2.677150 2.678063 2-678973 2.679882 2.680789 2.677242 2.678154 2.679064 2.679973 2.680879 2-677333 2.678245 2.679155 2.680063 2.680970 2.677424 : 2.678336 2.679246 2.680154 2.68x060 2.677516 2.678427 2-679337 2.680245 2.681x51 2.681241 2.682145 2.683047 2.683947 2.684845 2.681332 2.682235 2.683137 2.684037 2.684935 2.681422 2.682326 2.683227 2.684127 2.685025 2.681513 2.682416 2.6833x7 2.684217 2.685114 2.681603 2.682506 2.683407 2.684307 2.685204 2.681693 2.682596 2.683497 2.684396 2.685294 2.681784 2.682686 2.683587 2.684486 2.685383 2.68x874 2.682777 2.683677 2.684576 2.68547 2.681964 2.682867 2.683767 2.684666 2. 2-685563 2.682055 2.682957 2.683857 2.684756 2.685652 2.68 5742 2.686636 2.687529 2.688420 2.689309 2.685831 2.686726 2.687618 2.688509 2.689398 2.685921 2.686815 2.687707 2.688598 2.689486 2.686010 2.686904 2.687796 2.688687 2.689575 2.686100 2.686994 2.687885 2.688776 2.689664 2.686189 2.687083 2.687975 .688865 •689753 2.686279 2.687172 2.688064 2.688953 2.689841 2.686368 2.687261 2.688153 2.689042 2.689930 2.686457 2.687351 2.688242 2.689131 2.690019 2.686547 2.687440 2.688331 2.689220 2.690107 2.690196 2.691081 2.691965 2.692847 2.693727 2.690285 2.691170 2.692053 2.692935 2-6938x5 2-69°373 2.691258 2.692142 2.693023 2.693903 2.690462 2.69x34' 2.692230 2.693111 2.693991 .690550 2.691435 2.692318 2.693199 2.694078 2.690639 2.691523 2.692406 2.693287 2.694166 2.690727 2.691612 2.692494 2-693375 2.694254 2.690816 2.691700 2.692583 ■693463 2.694342 2.690905 2.691788 2.692671 2-69355i 2.694430 2.690993 2.691877 2.692759 2.693639 2.694517 2.694605 2.695482 2.696356 2.697229 2.698100 2.694693 2-695569 2.696444 2.697316 2.698188 2.694781 2-695657 2.696531 2.697404 2.698275 .694868 2.695744 2.696618 2.697491 2.698362 .694956 2.695832 2.696706 2.697578 2.698448 2.695044 2.695919 2.606702 2.697665 •698535 2.69513 2.696007 2.696880 2.697752 2.698622 2.695219 2.696094 2.696968 2.697839 2.698709 2.695306 2.696182 2.697055 2.697926 2-698736 2-695394 2.696269 2.697142 2.698013 2.698883 2.698970 2.699838 2.700704 2.701568 2.702430 2.699057 2.699924 2.700790 2.701654 2.702517 .699144 .700011 .700877 -7OI74I .702603 .699230 .700098 .700963 .701827 .702689 2-69931. 2.7001842, 2.701050 2.701913 2.702775 .699404 .700271 .701136 .701999 .702861 .699491 •700357 .701222 .702086 .702947 2699578 2.700444 ?.7oi3°9 2.702172 2.703033 2.699664 2.70053 2-7oi395 2.702258 2.703119 2.699751 2.700617 2.701482 2.702344 2.703205 2.703291 2.703377 2.70415012.704236 2.705008 2.705094 2.705864:2.705949 2.706718:2.706803 -703463 .704322 .705179 .706035 .706888 •703549 .70440S .705265 .706120 .706974 2.703635 2.704494 2-705350 2.706205 2.707059 .703721 •704579 .705436 .706291 .707144 -703807 .704665 .705522 .706376 .707^29 2-703893 2.704751 2.705607 2.706462 2.707315 2.703979 2.704837 2.705693 2.706547 2.707400 2.704065 2.704922 2.705778 2.706632 2.707485 2.707570 2708421 2.709270 2.710117 2.710963 2707655 2.708506 2-709355 2.710202 2.711048 707740 708591 .709440 710287 7II132 2.707826 2708676 2.709524 2.710371 2.711216 2.707911 2.708761 2.709609 2-710455 2.711301 2707996 2.708846 2.709694 2.710540 •7“385 2.708081 2.708931 2709779: 2710625 2.711470 2.708166 2709015 70986? 2710710 2-7II554 2.708251 2.709100 2.709948 2710794 2.711638 ,708336 2709185 2.7x0033 2.710879 2711723 2.711807 2712650 2.713490 2714330 2.715167 2.711891 2712734 2-713574 2.714414 2.715251 520 52: -522 323 -i-2,4 2.7 716003 2716838 2.7x7670 2718502 933 .711976 712818 .713658 •7X4497 ;-7I5335 2.712060 2712902 2.713742 2.714581 2715418 2.712144 2.712986 2713836 2.714665 2715502 2712229 7i3°7< 27i39X° 2714749 2715586 2.712313 2-713i54 2.713994 2.714832 2.715669 2.712397 2713238 2714078 2714916 2-715753 2712481 2713322 2.714162 2.715000 2715836 2.71256 c 2.713406 2.714246 2.715084 2.715920 2.716087 2.716921 2-7I7754 2.718585 2.7194142. .716170 717004 ,717837 718668 •7I9497 2716254 2.717088 2.717920 2718571 2719580 2.716337 2.717171 2.718003 2.718834 .716421 2.717254 2718086 2.718917 2.719663271974; 2.716504 2.717338 .2.718169 2719000 2719828 2.716588 2717421 2718253 2.719083 27; 99 2.716671 2.7x6754 2717504 2.717587 27i8336 2.718419 27i9i65,27i9248 2.719994 2720077 U a *55 i56 LOGARITHMS. m-. 2.720159 2.720986 2.721811 2.722634 2.723456 2.720242 2.721068 2.721893 2,722716 2-723538 ,2.720325 2.721151 2-1*1975 2.722798 2.723620 2.720407 2.720490 2.721233 2.72131' 2.722058 2.722140 2.722881 2.722963 2.7237022.723784 2.720573 2.721398 2.722222 2.723045 2.723866 2.7206 cc 2.721481 2.722305 2.723127 2.723948 2.720738 2.72!563 2.722387 2.723209 2.724030 2.72082,1 2.721646 2.722469 2.722291 2.724112 2.720903 2.72x728 2.722552 2-7 23374 2.724x94 2.724276 •2.725094 2.725912 2.726727 2.727541 ••724358 2.725176 2-7*5993 2.726809 2.727623 2.724440 2.725258 2.726075 2.726890 2.727704 .724522 2.72534° 2.726156 2.726972 2.727785 2.724603 2.72542: 1.726238 2.727053 2.727866 2.724685 2-7255°3 2.726320 2.727134 2.727948 2.724767 2-7255%5 2.726401 2.727216 2.728029 2.724849 2.725667 2.726483 2.727297 2.728110 2.724931 2.725748 2.726564 2.727379 2.728191 2.725013 2-7 2583° 2.726646 2.727420 2.728273 2.728354 2.729165 2.729974 2.730782 2-73158’9 2.728435 2,729246 2-730055 2.730863 2.731669 2.728516 2.729327 2.730136, 2.730944 2-731750 2.728597 2.729408 2.730217 2-73I024 2.731830 2.728678 2.729489 2.730298 2.731105 2<73I911 ,728759 2.729570 2'*73°378 2.731186 2.731991 2.72884: 2.729651 2-73°459 2.731266 2.732072 2.728922 2.729732 2.730540 2-73I347 2.732152 2,729003 2.729813 2.730621 2.731428 2-73 2233 2.729084 2.729893 2.730702 2.73x508 2-732313 2-732394 2-733797 2-733999 2.734800 2-735599 2.732474 2-733277 2.734079 2.734880 •2-735979 2-732555 2-73335* 2-734I59 2.734960 2-73575* 2-732635 2-733438 2.734240 2-73504°: 2-735838 2-73271 2-73351 2.734320 2.735120 2-73591* 2.732796 2-73359* 2.73440° 2.735200 73599* .732876 2-733679 2.73448° 2-735279 2.736078 2.732956 2-733759 2.734560 2-735359 2.736157 2-733037 2-733839 2.734640 2-735439 2.736237 2-733177 2-733919 2.734720 2-735519 2-736317 2.736396 2-737193 2-7379*1 2.73878 2-739572 2.736476 2.737272 2.738067 2.738860 2.739651 2-736556 737352 2.738x46 2-73*339 2-73973° 2-73663, 2-737431 2.738225 2.739018 2.739810 2-736715 2-73 7511 2-73*305 2.739097 2.739889 •736795 •73759° •738384 •739177 .739968 736874 2.737670 2.738463 2.739256 2.740047 2.736954 2-737749 2-738543 2-739335 2.740126 2.737034 2.737829 2.738622 2.739414 2.740205 2-737113 2.737908 2.738701 2-739493 2.740284 2.740363 2.74x152 2-74I939 2.742725 2-743540 ,740442 2.741230 2.742018 2.742804 2.743588 2.740521 2.741309 2.742096 2.742882 2.743666 2-740599 2.741388 2.742175 2.742961 2-743745 2.740678 2.741467 2.742254 2-743039 2.743823 •740757 .741546 •742332 .743x18 .743902 2.740836 2.74x624 2.742411 2.743x96 2.743980 2.740915 2.741703 2.742489 2-743275 2.744058 2-740994 2.741782 2.742568 2-743353 2.744136 2.741073 2.741860 2.742647 2-743431 2.744215 2.744293 2-745075 2-745855 2.746634 2.747412 2-744372 2-74-5 2 53 2-745933 2.7467x2 2.744449 2-745232 ;.746oii 2.746790 2.747489 2.747567 2.744528 2-745309 2.746089 2.746868 2.747645 2.744606 2-745387 2.746167 2.746945 2.747722 2.744684 2.745465 2.746245 2.747023 2.747800 2.744762 2-745543 746323 2.747101 2.747878 2.744840 2.745621 2.74640: 2.747179 2-747955 2.744919 2.745699 2-747479 2.747256 2-748033 2.744997 2.745777 2.746556 2-747334 2.748110 2.748188 2.748963 2.7497362. 2.750508 2.751279 2.748266 2.749040 ;-7498i4 2.750586 •751356 2-748343 2.749118 2.749891 2-.7C0663 2-7S1433 2.748421 2.748498 2.749195 2.749272 ,749968 2.750740 2-7515I° 2.750045 2.750817 2.751587 2.748576 2-749350 2.750123 2.750894 2.751664 2-748653 2.749427 2.750200 2.750971 2.751741 2.748731 2-749504 2.750277 2.75x048 2.751818 2.748808 2,749582 2-750354 2.75x125 2.751895 2.748885 2.749659 2-750431 2.751202 2.751972 2.752048 2.752816 2.753583 2.754348 2.755112 2.752125 2.752202 2.752893 2.752970 2.7536602.753736 2-7544252-754501 2.7551892.755265 2.752279 2-753047 2-753813 2-754578 2.755341 •752356 2-753123 2-753**9 2-754654 2-7554I7 2.752433 2.753200 2.753966 2.754730 2-755494 2.752509 2-753277 2.754042 754807 2.755570 2.752586 2.752663 2-753354 2.75343° 2.754ii9 2.754195 2.754883 2.754960 2-755646 2.755722 2.752740 2.753506 2.754272 2-755035 2.755799 2-755875 ••756636 2-757396 2'758i55 2.7589 f2 2.7559512.756027 2.756712 2.756788 2.7574722.757548 2.758230 2.75-8306 •758988 2.759063 2.756103 2.756878 •-757624 -758382 -759139 2.756180 2.756940 2.7577oo 2-758458 2.759214 .756256 .757016 ■757773 •758539 .759290 2-756332 2.757092 2-757851 2.758609 2.759366 2.756408 2.757168 2.757927 2.758685 2.759441 2.756484 2.757244 2.758003 2.75876: 2.759517 2.756560 2.757320 2.758079 2.758836 2.75959: 575 2.759668 576 2.760422 577;2.76ii76 578 2.761928 5792-762679 •759743 2.7598 r9 ,760498 2.760573 2.761251 2.761326 2.762003 2.762078 2.762754 2.762829 2.759894 2.760649 2.761402 2.762153 2-75997o 2.760724 2.761477 2.762228 2.762904 2.762978 .760045 ,760799 .761552 ,762303 •763053 2.760121 2.760875 2.761627 2.762378 •763128 2.760196 2.760950 2.761702 2.762453 .763203 2.760272 2.76x025 2.761778 2.762529 760347 2.761101 2.76x853 2.762604 2.7632782.763353 Tabic. Table. LOGARITHMS. 2.^67156 2.767878 2.768638 2.769377 2.770115 2.770852 2.771587 2.772322 2-773°55 2.773786 2-7745I7 .77524c 2-775974 2.776701 2.777427 2-778i5: 2.778874 2.779596 2-78o3: 620 621 622 623 624^2. 2.763428 2.764176 2.764923 2.765669 2.766413 2.763503 2.764251 2.764998 2-765743 2.766487 2.767230 2.767972 2.7687 IX 2.76945 2.770189 2.767304 2.768046 2.768786 2.769525 2.770263 2.770926 2.771661 2-772395 2.773128 2.773860 2.770999 '771734 2.772468 2.773201 ?-773933 2.774590 2-7753I9 2.776047 2.776774 2.777499 -774663 2-775392 2.776120 2.776846 2-777572 2.778224 2.778947 2.779669 .780389 2.781O37 2.78UO9 2.J8I1H 2.782473 2.783189 2.783964 2.784617 2.781827 2.782544 2.783260 2-783975 2.784689 2--78533< 2.786041 ,78675 2.787460 2.788168 2.785401 2.786112 2.786822 2.787531 2.788239 2.788875 2.789581 2.790285 2.790988 2.79169: 2.792392 2.793092 2.793790 2.794488 4.795185 2.795880 2.796574 2.797268 2.797960 ,2.79865 63°t2-79934I 631 2.800029 632 2.800717 633:2.801404 634' -'2.80208c 2.778296 9019 2.779741 2.780461 2.781181 2.788946 2.78965 2.790356 2.791059 2.791,761 2.792462 2.793162 2.793860 2-794558 2-795254 2.795949 2.796644 2-79733' 2.798029 ,798720 2.799409 ,.800098 .800789 2.801472 2.802158 2.763578 2.764326 2.765072 2.765818 2.766562 2.767379 2.768120 2.768860 •769599 2.770336 2.771073 2.771808 2.772542 2-773274 2.774006 .774736 •775465 2.776193 2.776919 2.777644 2.778368 2.779091 2.779813 2-780533 2.781253 2.781899 2.782616 2-783332 2.784046 2.784760 •785472 .786183 .786893 .787602 .788310 .789016 .789722 .790426 .791129 •79i83 2.792532 2.793231 •79393° 2.794627 2-795324 796019 2.796713 2.797406 2.798098 2.790789 2.799478 2.80016' 2.800854 2.801541 2.802226 •763653 2.764400 2.765147 2.765892 2.766636 2.767453 2.768194 2.768934 2.76967, 2.77041c 2.771146 .771881 2.772615 2.773348 ,774079 2.774809 2-775538 2.776265 2.776992 2.77771 2.778441 2-779163 2.779885 2.780605 2.781324 2.781971 2.782688 2.783403 2.7~84ii8 2.78483 •785543 .786254 .786964 •787673 .78838 .78908^/: .789792 .790496 .79 ! 199 .791901 2.792602 2-7933°i .794000 2.794697 2-795393 2.796088 2.796782 2.797475 2.798167 2.798858 2-799547 2.800336 2.800923 2.801609 2.802295 2.763727 2.764475 2.765221 2.765966 2.76671 2.771220 2-77I955 2.772688 2.773421 2.774152 2.774882 2.775610 2.776338 2.777064 2.777789 2.778513 2.779236 2-779957 2. 2.780677 2.781396 2.782042 2.782759 2-783475 2.784189 2.784902 2.78561 c 2.786325 2.787°35 2.787744 2.788451 2.789152 2.789863 2.790567 2.791269 2-79I971 2.792672 2-79337 2.794070 2.794767 2.795463 2.796158 2,796852 2-797545 2.798236 2.798927 2.799616 2.800305 2.800992 2.801678 ,802363 2.763802 2.763877 2.764550 2.765296 2.766041 2.766785 2.767525 2.768268 2.769008 2.769746 2.770484 2.767601 2.768343 2.769082 2,769820 2-77°557 2.771293 2.772028 2.772762 2-773494 2.774225 2-774955 2-775683 2.776411 2.777237 2.777862 2-778585, 2.779308 1.780029 2.780749 2.781468 2.782114 2.78283: 2.783546 2.784261 1.784974 2.785686 2.786396 2.787106 2.787815 2.788522 2.789228 2-789933 2.790637 2-79I34° 2.792041 2.792742 2-793441 2-794139 2-794836 2.795532 2.796227 .2.796921 2-797614 2-7983°5 2.798996 2.799685 2.8003732. 2.801060 2.801747 2.802432 2.764624 2.7*537° 2.7661 2.766859 2.771367 2.772102 2.772835 2-773567 2.774298 2.7750128 ,2-775756 2.776483 2.777269 2-7.77934 2.778658 2.779380 2.780101 2.780821 2.78154b 2.782186 2.782902 2.783618 2.784332 2-785045 2.785757 2.786467 2.787177 2.787885 2.788593 2.789299 2.790003 2.790707 2.791410 2.792111 2.7928x2 2-7935 2,794209 2.794906 2.795602 2.796297 2.796990 2.797683' 2.798374 2.799065 2-799754 -2.800442 2.801129 2.801815 ,802500 2.763952 2.764699 2-765445 2,766190 25766933 2.767675 2.768416 2.769156 2.769894 2.77063 2.771440 2.772175 2.772908 2.773640 2-774371 2.775100 2.775829 2-776556 2.777282 2.778006 2.778730 2.779452 2.780173 2.780893 2.781612 2.782258 2.782974 2.783689 2.784403 2.785116 2.785828 2.786538 2.787248 2.787956 2.788663 2.789369 2,790074 2.790778 2.791480 2.79218 2.792882 2-79358- 2-794279 2.794970 2.795671 2.796366 2.797060 2.797752 2.798443 ,2.7991 342. ,2.799823 2.800511 2.801 r ~ 2.801884 2.802568 98 2. 2.764027 2.764774 2.765520 2.766264 2.767007 2.767749 : 2.768490 2.769230 2.769968 2.770705 2.771514 2.772248 2.772; 2-7737I3 2-774444 2-7 75173 2.775902 2.776629 2-777354 2.778079 2.778802 2.779524 2.780245 2.780965 2.781684 2.782329 2.783046 2.783761 2.784475 2.785187 785899 2.786609 2-7873i9 2.788027 2.788734 2.789440 2-79OI44 2.790848 2-79155° 2.792252 ,79295: 2.79365: 2-794349 2-795045 2-79574: 2.796436 2.797129 2.797821 2.798512 ,799203 2.799802! 2.800580 2.801267 2.801952 2.802637 2.764101 2.764848 2.76 s-594 2.766338 2.767082 2.767823 2.768564 2.769303 2.770042 2.770778 2.782401 2.783117 2.783832 2.784546 2.7.85259 2.785970 2.786680 2.787390 2.788098 2.788804 2.789510 2.79021 c 2.790918 2.7 91620 2.792322 2.793022 2.793721 2.794418 2-795II5 2-7958i' 2.796505 2.797198 2-797890 .2.798582 2.799272 2.79996c 2.800648 2.801335 2 802021 2.802705I 68 157 Table. *58 LOGARITHMS. Table. lS9 L O G A R I T H M S. Yxir w 3 8 2.838849 2.839478 2.840106 2-840733 2.841359 .838912 2-83954I 2.840169 2.840796 2.841422 2-838975 2.839604 2.840232 2.840859 2.841485 2.839038 2.839667 2.840294 2.840921 2.841547 21839101 2.839729 2.840357 2.840984 2.841610 2.839164 2.839792 2.840420 2.841046 2.841672 2.839227 2-839855 2.840482 2.841109 2.841735 2.839289 2.839918 2.840545 2.841172 2.841797 2-839352 2.839981 2.840608 2.841234 2.84186c 2.839415 2.840043 2.840671 2.841297 2.841922 2.841985 2.842609 2-843233 2-843855 2.844477 2.842047 2.84267 2.843295 2.843918 2.844539 .842110 2.842734 2-843357 2.843980 2.84460: 2.842172 2.842796 2.843420 2.84404-2 2.844663 2.84223« 2.842859 2.843482 2.844104 2.844726 2.842297 2.842921 2*843544 2.844166 2.844788 2.842360 2.842983 2.843606 2.844229 2.84485 2.842422 2.843046 2.843669 2.844291 2.844912 2.842484 2.843108 2-843731 2-844353 2.844974 2-842543 2.843170 2-843793 2.844415 2.845036 2.845098 2.845718 2-846337 2.846955 2-847573 2.845160 2.845780 2.846399 2.847017 2.847634 1.845222 2.845842 2.846461 2.847079 2.847696 2.845284 2.845902 2.846523 2.847x41 2.847758 2.845346 2.845966 2.846584 2.847202 2.847819 2.845408 2.846028 2.846646 2.847264 2.847881 :2.84547c 2.846090 2.846708 2.847326 2.847943 2.845532 2.846151 2.846770 2.847388 2.848004 2-845594 2-846213 2.846832 2.847449 2.848066 .845656 2.846275 2.846893 2.847511 2.848127 2.848189 2.848805 2.849419 2.850033 2.850646 2.848251 2.848866 2.849481 2.850095 2.850707 2.848312 2.848928 2.849542 2.850156 2.850769 2.848374 2.848989 2.849604 2.850217 2.850830 2.848435 2.849051 2.849665 2.850279 ,.850891 .848497 2.849112 2.849726 2.850340 2.850952 2.848559 2.849174 2.849788 2.850401 2.851014 2.848620 2.849235 2.849849 2.850462 2.851075 1.849296 2.849911 1.850524 !.S5ii36 2.848743 2.849358 2.849972 2.850585 2.851197 2.851258 2.85i87< 2.852480 2.853089 2.853698 2.85x319 2.85193: 2.85254: 2-85315° 2.853759 2.85138 2.851992 2.852602 2.8532x1 2.853820 2.851442 2.852053 2.852663 2.853272 2.853881 2.851503 2.852114 2.852724 2-853333 2.853941 2.851564 2.852175 2.852785 2-853394 2.854002 2.851625 2.852236 2.852846 : 2-853455 2.854063 2.851686 .852297 2.852907 2-853516 2.854124 2.851747 2.852358 2.852968 2.853576 .854184 2.851808 2.852419 2.853029 2-853637 2.854245 2.854306 2.854913 2.855519 2.856124 2.856729 -854367 1.854974 2-855580 2.856185 2.856789 2.854427 ; 2-855°34 2.855640 2.856245 2.856850 2.854488 6.85509 2.85570: 2.856306 2.85691c 2-854549 2.855156 2.855761 2.856466 2.856970 2.85461c 2.855216 2.855822 2.85642' -85763 2.854670 2.855277 2.855882 2.856487 2.857091 2.854731 2-855337 2-855943 2.856548 2.857x5 2.854792 2-85539^ 2.856003 2.856608 2.857212 2.854852 2-855459 2.856064 2.856668 2.857272 2-857332 2-857935 2-858537 2.859138 2-859'739 2-857393 2-857995 2-858597 2.859198 2.859798 2-857453 2.858056 2.858657 2.859258 2.859858 2-8575 „ 2.8 58116 2.858718 2.859318 2.859918 2-857574 2.858176 2.858778 2-859378 2.859978 2.860338 2.860937 2.861534 2.862131 2.862727 2.860398 2.860996 2.861594 2.86219 2.86278' 2.860458 2.861056 2.861654 2.86225: 2.862847 2.857634 2.858236 2.858838 2.859438 2.860038 2.857694 2.858296 2.858898 2.859499 2.860098 2-857754 2-858357 2.858958 2-85955! 2.860158 2.857815 2.85841 2.859018 2.859619 2.860218 2-857875 .2.858477 2.859078 2.859679 2.860278 2.860518 2.861116 2.861714 2.86231c 2.862906 2.860578 2.861176 2.861773 2.862370 2.862966 2.860637 2.861236 2.861833 2.86243c 2.863025 2.860697 2.861295 2.861893 2.862489 2.863085 2.860757 2-861355 2.861952 2.862549 2.863144 2.860817 2.861415 1.86201 2.862608 2.863204 2.860877 2.861475 2.862072 2.862668 2.863263 2.863323 2-863917 2.864511 2.865104 2.865696 2.863382 2.863977 2.864570 2.865163 2.865755 2.863442 2.864036 2.864630 2.865222 2.863501 2.864096 2.864689 2.865282 2.865814 2.865873 2.863561 2.864155 2.864748 2.865341 2-865933 '2.86362c 2.864214 2.864808 2.865406 2.865992 2.863681 1.864274 2.864867 2.865459 2.86605 2.863739 2-864333 2.864926 2.865518 .866: 2.863798 2.863858 2.864392 2.864452 2.864985 2.865045 2.865578 2.865637 2.866x69 2.866228 2.866287 2.866878 2.867467 2.868056 7392.868644 2.866346 2.866937 2.867526 2.868115 2.868703 .866405 2.866996 2.867585 2.868174 2.868762 2.866465 2.867055 2.867644 2.868233 2.868821 2.866524 2.866583 2.867114 2.867173 2.867703 2.868292 2.868879 .86776: 2.868350 2.8689' ' 7402.869232 741 2.869818 742 2.870404 743 2.870989 744 2.87157, 2.869290 2.869877 2.870462 2.871047 2.86934-9 2.869935 2.870521 2.871106 2.871690 2.869408 2.869994 2.870579 2.871164 2.871748 2.869466 ,2.870053 1.870638 2.871223 2.871806 1.866642 2.867232 2.867821 2.868409 2.868997 2.86670 ■2.867291 2.86788 2.868468 2.869056 2.866760 2^8673.50 2.867030 2.868527 2.869114 2.866819 2.867409 2.867997 2,868586 -869173 2.869525 2.869584 2.870m 2.870170 2.870696 2.870755 2.871281 2.871339 869642 2.870228 2.87081.3 2.871398 86976 ,870287 2.870872 2.871456 2.8 71865 2.871903!871981.2.-87 ?Q4'? 2.869760 2.870345 2.870930 2.871515 2,872098 i6o LOGARITHMS. 8 "DuT.', 745 2.872x56,2.872215 746 2.8727392.872797 747 2.87332: 748 2.873902 74912.874482 7'5°|2' 75112- 752;2. 753|2- 7542. .875061 .875640 .876218 .876795 ■877374 2.873379 2.873960 2.874540 2.872273 2.872855 2.873437 2.874018 2.874598 2-87233 2.872913 2.873495 2.874076 2.874656 2.872389 2.872448 2.872972 2.873030 2.8735532.873611 2.8741342.874192 2.874714:2.874772 2.872506:2.872564 2.873088 2.873146 2.87366912.873727 2.874250 2.874308 2.874830 2.874887 2.875119 2.875698 2.876276 2.876853 2.877429 2.875177 2-875756 2-876333 2.876910 2.877486 2.875235 2.875813 2.876391 2.876968 2.877544 2-875293 2.875871 2.876449 2.877026 2.877603 2.875351 2.875929 2.876506 2.877083 2.877659 2.875409 2.874987 2.876564 2.87714 2.877717 2.872622! 2.873204 2.873785 2.874366 2.874945 2.875466 2.876044 2.876622 2.877198 2.877774 2.875524 2.876102 2.876680 2.877256 2.877832 2.87268 .873262 2*873843' 2.874424 2.875003 .875582 .876160 .876737 .877314 .877889 755!2- 75^ : 757|2- 758 2' 759 2' ■877943 .878522 .879096 .879669 ,880242 2.878004 2.878579 2.8 79153 2.879726 2.880299 2.878062 2.878637 2.879211 2.879784 2.880356 2.878119 2.878694 2.879268 2.879841 2.880413 2.878177 2.878751 2.879325 2.079898 2.880471 2.878234 2.S78809 2.879383 2.879956 2.880528 2.878292 2.878866 2.879440 2.880010 2.880585 .878349 2.878922 2.879497 2.880070 2.880642 2.87840* 2.87898: 2>879555 2.880127 2.880699 .878464 .879038 .879612 .880185 .880756 760:2. 76 762 763 764 .880814 .881385 .881955 ,882524 ,883093 2.880871 2.881442 2.882012 2.88258: 2.&83150 2.880928 2.881499 2.882069 2.882638 2.883207 .880985 .881556 2.882126 2.882695 2.883264 2.881042 " 613 2.882183 2.882752 2.883321 2.881099 2.881670 2.682240 2.882809 2.883377 2.881156 2.881727 2.882297 2.882866 2.883434 2.88121^ 2.881784 .882354 .882923 2.883491 !.881270 :.881841 :.88241 2.882980 .883548 .881328 .881898 .882408 .883036 .883605 2.883661 2.884229 2.884795 2.885361 2.885926 2.883718 2.884285 2.884852 2.88541 ^ 2.885983 2.883775 2.884342 2.884909 2.885474 2.886039 2.883832 2.884399 2.884965 2-885531 2.886096 .883889 2.884455 2.885022 2.885587 2.886152 2.883945 2.884514 2.885078 2.885644 2.886209 2.884002 .884569 2,885155 : 2.885700 2.886265 2.884059 2.884625 2.885191 2-885757 .884115 2.884682 :.88 5248 2.885813 2.886321 2.886378 2.884172 .884739 2-885305 2.885C70 2.886434 .886490 2.887054 2.887617 2.888179 2.888741 2.886547 2.887111 2.887675 2.888236 2.888797 2.886603 2.887167 2.887730 2.888292 2.888853 2.886660 2.887223 2.887786 2.888909 2.886716 2.887280 2.887842 2.888404 2.88,8965 '•886773 2.887336 2.887898 2.888460 2.88902 2.886829 2.887392 2.887955 2.888516 2.889077 2.886885 2.887448 2.88801 .888573 2.889133 .88694: 2.887505 .888067 .888629 .889x90 ;.886998 2.887561 :.888123 2.888685 889246 2.889302 2.889862 2.890421 2.890980 2.891537 2.889358 2.889918 2.890477 2.89105 5 •89i593 2.889414 2.889974 2-890533 2.891091 2.891649 2.889470 2.890030 2.890589 2.891147 2.891705 2.889526 2.890086 2.890644 11203 2.891760 2.89014: 2.890700 2.891259 .891816 2.889638 2.890197 2-890755 2.891314 2.891872 ,889694 2.890253 .890812 2-89i37° 2.891927 889750 2.890309 2.890868 2.891426 891983 889806 890365 2.890924 .89148 .892039 2.892095 2.892651 2.893207 2.893762 2.894316 2.892150 2.892707 2.893262 2.893717 2.894371 2.892206 2.892762 2.893318 2893873 2.894427 VS92262 2.892818 2-893373 2.893928 2.894482 2.892317 2.892873 2.893429 2.893984 2.894538 •892373 2.892929 2.893484 2.894039 2.894593 2.892428 .892985 ■89354o 2.894094 :.894648 .892484 .895040 2-893595 2.894150 2.894704 2.89254.0 2.893096 2.89365 2.894205 2.894759 2.892595 2.893i5i 2.893706 2.894261 2.894814 2.894870 2.895422 2.895975 2.896526 2.897077 2.894925 2.895478 2.896030 2.896581 2.897132 2.894980 2-895533 2.896085 2.896636 2.897187 2.895036 2.895588 2.896140 2.896691 2.897242 2.895091 2.895643 2.896195 2.896747 2.897297 2.895146 2.895699 .896251 2.896802 2-897352 2.895201 2-895754 2.896306 2,896857 2.897407 2.895257 2.893809 2.896361 2.896912 2.897462 2-895312 2.895864 2.896416 2.896967 2.897517 2.895367 2.895919 2.896471 2.897022 2.897572 2.897627 2.898176 2.898725 2.899273 2.899820 2.897682 2.898231 2.898780 2.899328 2.899875 2.897737 2.S97792 2.898286 2.898341 2.89883512.898890 2-899383 2-899437 2.899930 2.899985 2.897847 2.898396 .898944 2.899492 .900039 2.897902 2.898451 2.898999 2.899547 2.900094 2.897957 2.898012 2.898506^.898561 2.899054*2.899109 2.8996o2i2.899656 2.900149 2.900203 2.898067 .898615 2.899164 2.899711 2.900258 .*98 .898670 .899218 .899766 .900312 795 2.900367 2.900422 796 2.900913 2.900968 797 2.901458:2.901513 798.2.902003 2.902057 799t2.9J2547 2.902601; 2.900476|2.900531 2.900586 2.901022 2.901077 2.90x131 2.90156712.901622 2.96x676 2. 2.902112 2.902166 2.902220 2.902655 2.90271012.902764 2.900640 :.9oii86 .901731 .902275 2.902818 2.900695 2.901240 2.901785 2.902329 x.900749 ,.901295 3.901840 2.902384 .902873 2.902927 2.900804 .2901349 2.901894 ,902438 ,90298: .900858 .901404 .901948 .902492 ■903036 N° 184. Table Table. LOGARITHMS, I 2.903090 2.903632 2.904174 2.904715 2.905256 2.903144 2.903687 2.904228 2.904770 2.90531 o 2.903x08 2.9032 n 2.90374! 2.903795 2.904283 2.904337 2.9048242.904878 2.905364J2.905418 2.9o33°7 2.903849 2.904391 2.904932 2.905472 2.903361 2.9o39°3 2.904445 2.904986 2.905526 2.9034x6 2-9°3958 2.904499 2.905040 2.905580 .903470 2.904012 2.904553 ,905094 2.905634 2.903524 2.904066 2.904607 2,9°3578 2.904120 2.904661 t.905148 2.905202 1.905688^.905742 2.905796 2-9o6335 2.006873 2.907411 2.907948 2.905850 2.906389 2.906927 2.907465 2.908002 2.9059042.905958 2.906443 .90698 2.907519 2.908056 2.906497 2.907035 2-9°7573 2.908109 2.906012 2-9°6550 2.907089 2.907626 2.908163 2.906065 2.906604 2.907142 2.907680 2.908217 1.906119 2.906658 .907196 2.907734 1.908271 2.906173 2.9067x2 2.907250 2.907787 2.908324 2.906227 2.906766 2.9°7304 2.907841 2.908378 2.906281 2.906820 2>9°7358 2.907895 2.90843 2.908485 2.909021 2.909556 2.910090 2.910624 2.908539 2.909074 .909609 2.910144 2.910678 2.908592 2.909128 2.909663 2.910197 2.9 x 0731 2.908646 2.90918 2.909716 2.91025 2.910784 2.908699 2.909235 2.909770 2.910304 2.910838 2.908753 2.909288 2.900823 2.910358 2.91089X .908807 2.909342 2.909877 2.9xo4ir 2.910944 2.908860 2*9°9395 2-90993° 2.910464 2.910998 2.908914 2-9°9449 2.909984 2.910518 2.911051 2.908967 2.909502 2.910037 2-9io57i 2.911104 2.911158 2.911690 .912222 2-9I2753 2.913284 2.911211 2.9XX743 2.912275 2.912806 2-9I3337 2.911264 2.9 xx 797 2.912328 .912859 ■9I3390 2-9II3I7 2.911850 2.91238 2.9x2912 2,9I3443 2-9II37I 2.911903 2.912435 2.912966 2.9x3496 2.911424 2.911956 2.912488 2.913019 2-9I3549 .911477 2.912009 2-9i254i 2.913072 2.913602 2.91153c 2.912063 2.912594 2.9x3x25 2.9X3655 2-911584 2.9x2 2.912647 2.913178 .913708 2.911637 .9x2169 2.912700 2.913 231 2.9x3761 .913814 •914343 2.914872 2.915400 2.915927 2.9x3867 2.9x4396 2.914925 2-9I5453 ,915980 2.91392a: 2.914449 2.9x4977 2.915505 2.9x6033 2.9I3973 2.914502 2.9i5o3° 2-915558 1^916085 2.914026 2"9I4555 2.915083 2.915611 2.916138 2.914079 2.914608 2.915x36 2.915664 2.91619: 2.914x31 2.914660 2.9x51:- 2.915716 2.9x6243 2.914184 2"9I47I3 2.915241 2.9x5769 2.916296 2.914237 2.914766 2.915294 2.915822 2.916349 2.914290 2.914819 2.9i5347 2.915874 2.916401 2.916454; 2.916980 2.917505 2.918030 2.9x8554 .916507 2.9x7033 2-917558 2.918083 2.918607 2.916559 2.917085 2.9176 id 2.9x8135 2.918659 2.9166 2.917138 2.917663 2.918188 2.918712 2.916664 2.917190 2.917715 2.918240 .918764 2.916717 2.917243 2.917768 2.918292 2.918816 2.916770 2.9x7295 2.917820 •9i8345 2.918869 1.9168 2.917348 2.9x7873 2.918397 2.918921 2.916875 2.917400 .917925 2.918450 2.9x8973 2.916927 2.9I745. 2.9x797] 2.918502 2.919026 2.919078 2.919601 2.920123 2.920645 2.921166 2.919130 2.9x9653 2.920175 2.920697 2.921218 2.919183 2.919705 2.920228 2.920749 2.921270: .919235 .919758 .920280 .920801 .921322 .919287 .919810 .920332 .920853 .92x374 .919340 .919862 .920384 .920906 .921426 .919392 .919914 .920436 .920958 .921478 2.9x9444 2.919967 2.920489 2.921010 2.921530 2.919496 2.920019 2.920545 2.921062 .921582 2.9x9549 2.920071 2.920593 2.921114 2.921634 .921686 2.922206 2.922725 2.923244 2.923762 2.921738 2.922258 2.922777 2.923296 2.923814 2.921790 2.922310 .922829 2.923348 2.923865 .921842 .922362 .922881 .923399 .923917 .921894 .922414 2. .922933 •92345I .923969 .921946 .922466 .922985 •923503 .924021 .921998 .922518 •923037 .923555 .924072 2.9220502.922102 2.9225702.922622 2.923088 2.923607 2.924124 2.923x40 2.923658 2.924176 2.922154 2.922674 2.923192 2.9237x0 2.924228 2.924279 ,924796 2.925312 2.925828 .926342 2.92433 2.924848 2.925364 2.925879 2.926394 2.924383 2.924899 2.925415 2.9259302. 2.926445 2.924434 2.924951 2.925467 •925982 2.926497 2.924486 2.925002 2.925518 2.926034 2.926548 2.924538 2.925054 2.925570 2.926085 2.926600 2.924589 .925106 2.925621 2.926x37 2.926951 2.924641 2.925x57 2.925673 2.926188 2.926702 2.924693 2.925209 2.925724 2.926230 2.926754 2.924744 2.925260 2.925776 2.926291 2.926805 2.926857 2.927370 2.927883 2.928396 2.928908 2.926908 2.927422 2.927935 2.928447 2.928959 2.926959 2-927473 2.927986 2.928498 2.929010 .92701 .927524 .928037 .928549 .92906: 2.927062 2.927576 2.928088 2.928601 2.929112 2.927114 2.927627 2.928140 2.92865: 2.929163 .927165 2.927678 2.928191 •928703 2.929214 2.927216 2.92773° 2.928242 2.928754 2.929266 2.927268 2.927781 2.928293 2.928805 2.929317 2.927319 2.927832 2.928345 2.9288 56 2.929368 2.929419 2.929930 3.930440 2.930949 2.929470 2.929981 2.930491 2.931000 2-93 t458'2-93I5oq Vox,. X. Part L 2.929521 2.930032 2.930540 2.9310C1 •932560 .929572 .930083 •93°592 .931102 2.929623 2.930134 2.930643 2-93II53 2.931661 2.929674 2.930x85 2.930694 2.931205 2-93x7:12 2.929725 2.930236 2.930745 ■931254 ■93 2763 2.929776 2.930287 2.930796 2-9313°5 2.93x814 2.929827 2.930338 1.930847 2.931356 2.931864 2.929878 2.930389 2.930898 2.931407 2.93 x915 i6E X 162 LOGARITHMS. Table. 2.931966 2.932474 2.932981 2-933487 2-93399. 2.934498 2.935003 2-93SS°7 2.936011 2-936514 2.937016 2-9375i8 2.938019 2.938520 2.939020 2-9395I9 2.940018 2.940516 2.941014 2-94I5 2.932017 2.932524 2-933033 2-933538 2.934044 2-934549 2-935054 2.935558 2.936061 2.936564 2.937066 2.937568 2.938069 2-93857o 2.939070 2-939569 2.940068 2.940566 2.94x064 2-94I56 2.942008 2.942504 2.943000 2.943494 2.943989 2.942058 2-942554 2.943049 2-943544 2.944038 2.944483 2.944976 2.945469 2.945961 2.946452 2.946943 2-947434 2.947924 2.948413 2.948902 2.949390 2.949078 2-950365 2.950859 2-95I337 2.95x823 2.952328 2.952792 „ 2.953276 899 2-95376o 2.954242 2.954725 2.955206 2.955688 2.956168 2.956649 2.957128 2.957607 2.958086 2-958564 2.932068 2-932575 2.933082 2.933588 2.934094 2-934599 2.935104 2.935608 2.936111 2.936614 2.937x16 2.937618 2.938119 2.938620 .939x20 2.939619 2.940118 2.940616 2.941114 2.941611 2-944532 2.945025 2.9455x8 2.946010 2.94650: 2.946992 2.947483 2-947973 2.948462 2.948951 2.949439 2.949926 2.950413 2.950900 2.951386 2.951872 2-952356 2.952841 2-953325 2-953808, 2.932118 2.932626 2-933x33 2-933639 2.934x45 2.934650 2-935x54 2-935658 2.936162 2.936664 2.937167 2.937668 2-938169 2.938670 2.939x70 .939669 2.940168 2.940666 2.941163 2.941660 2.942107 2.942603 2.943099 2-943593 2.944088 2.942157 2.942653 2.943148 2-943643 2.944137 2.944581 2.945074 2-945567 2.946059 .946550 2.947041 2-947532 2.94802: 2.948 511 2.948999 2.949488 2-949975 2.950462 2.950946 2.95x435 2.951920 2.952405 2.952889 2-953373 2-953856 2.954291 2.954339 2-954773,2-954811 2-9552552-955303 2-9557362.955784 2.956216 2.956264 2.9566972.956744 2.957x762.957224 2-957655,2-957707 2.958134 2.958181 2.958612 2.958659 3 2.932x69 2.932677 2-933183 2.933690 2-93 4195 2.934700 2-935205 2-935709 2.936212 2,936715 2.937217 2.937718 2.938219 2.938720 2.939220 2.939719 2.940218 2.940716 2.941213 2.941710 2.942206 2.942702 2.943198 2.943692 2.944186 2.944631 2.945124 2.945616 2.946108 2.946600 2.947090 2.947581 2.948070 2.94856c 2.949048 2-949539 2.950023 2.95051 2.950997 2-95x483 2.951969 2-952453 2.952938 2.95342: 2-953905 2-954387 2.954869 2-955351 2-955832 2.956312 2.956792 2.957272 2-95775x 2.958229 2-958?1 2.932220 2.932727 2-933234 2-933740 2.934246 2-934751 2-935255 2-935759 2.936262 2.936765 2.937267 2.937769 2.93,8269 2.938770 2.939270 2.939769 2.940267 2.940765 2.941263 2.941760 2.942256 2.942752 2.943247 2-943742 2.944236 2.944690 2.945x73 2.945665 2.946157 2.946649 2.947139 2.947630 2.948119 2.948608 2.949097 2.949585 2-95O073 2.950560 2.951047 2-95x532 2.952017 2.952502 2.952986: 2-95347-0 2-953953 2-954435 2.954918 2-955399 2.955880 2.956360 2.956840 2.957320 2-957799 2.958277 958755 12.93227: 2.932778 2-933285 2-933791 2.934296 2.934801 2-935306 2.935809 2.936313 2.936815 2-93 73x 7 2.937819 2.938319 2.938820 2-9393 x9 2.939819 2.9403x7 2.940815 2-94I3I3 2.941809 2.942300 2.942801 2.942397 2-943791 2.944285 2.944729 2.945222 2-945715 12.946207 2.946698 2-947 _ 2.947679 2.948168 2.948657 2.949146 2-949633 2.950121 2.950608 2.951095 2.95x580 2.952066 2-952550 2-953034 2-9535i8 2.954001 2.954484 2.954966 2-95544' 2.955928 2.956409 2.957368 2.957847 2.958325 2.958803 2.932321 2.932829 2-933335 2-933841 2-934347 2.934852 2-935356 2.935860 2.936363 2.936865 2-937367 2.937869 2.938370 2.938870 2.939369 2.939868 2.940366 2.940865 2.941362 2.941859 2-942355 2.942851 2.943346 2.94384: 2-944335 2.944779 2.945272 2.945764 2.946256 2.946747 2.947238 2.947728 2.948217 2.948700 2.949195 2.949683 2.950170 2.950657 2-95x *43 2.951629 2.952114 2.952699 2.953083 2.953566 2.954049 2-954532 2.955014 2-955495 2-955976 2-956457 2.956936 2.957416 2.957894 2-9J8373 2.958850 2.932372 2.932879 2.933386 2.933892 2-934397 2.934902 2.935406 2.935910 2.936413 2.936916 2.937418 2-937919 2.938420 2.938920 2.939419 2.939918 2.940417 2.940915 2.941412 2.941909 2.942405 2.942900 2-943397 2.943890 2.944384 2.944828 2.945321 2-945813 2.946305 2.946796 2.947287 2.947777 2.948266 2-948755 2.949244 2.949731 2.950219 2.950705 2.951192 2.951677 2.952163 2.952647 2-953 *3 2.953615 2.954098 2.954580 2.955062 2-955543 2.9 56024 2.956505 2.956984 2.957462 2.957942 2.958420 2.958898I 8 2.932423 2.932930 2-933437 2-933943 2.934448 2-934953 2-935457 2.935960 2-936463 2.936969 2.937468 2.937969 2.938470 ■938970 -939469 2.939968 2.940467 2.940964 2.941462 2.941958 2.944877 2-94537° 2.945863 2.946354 2.946845 2-947336 2.947826 2-9483i5 2.948804 2.949292 2.949780 2.950267 2-950754 2.951240 2.951726 2.952211 2.952696 2.953180 2-953663 2.954246 2.954628 2.Q C C I 10 2-955591 2.956072 2-9S6S53 2-957032 2-9575x 2.957990 2.958468 2-958946 Diff. •942454 .942950 •944445 •943939 •944433 2.944927 t.945419 t.945911 >.946403 >.946894 2-947385 2.647875 2.948364 2.948853 2.949341 2.949829 2.950316 2.650803 2.951289 2.95x774 2.952259 2.952744 2.953228 2.953.711 2.954194 2.954677 2-955i85 2.955640 2.956120 2.95660 2.957080 2-957559 2.01:8038 2.958516 2-958994 Table. LOGA RITHMS. 2.968483 2.968950 2.969416 2.969882 2.970347 2.959041 2.959518 2-959995 2.9604,7 2.960946 2.959089 2.959566 2.960042 2.960518 2.960994 2.961421 2.961895 2.962369 2.962843 2-963315 2.963788 2.964260 2.96473 2.965202 2.965672 2.966142 2.966611 2.967080 2.967548 2.968016 2.966189 2.966658 2.967127 2.967595 2.968062 2.970812 2.971276 2.971740 2.972203 2.972666 2.973128 2-973590 2-975°51 2-9745 2.974972 2-975432 2,97589c 2.97635c 2.976808 2.977266 2.977724 2.978180 2.978637 2.979093 2.979548 2.980003 2.980458 2.980912 2.981365 2.981819 2-961468 2.961943 2.962417 2.962890 2.963363 2.961516 2.961990 2.962464 2.962927 2.963410 2-963835 2.964307 2.964778 2.965249 2.965719 2.963882 2-964354 2.964825 2.965296 2.965766 2.966236 2.966705 2.967173 2.967642 2.968107 2.968530 2.968996 .969462 .969928 2-97°393 2.968576 2.969042 2.969509 2.969975 2-970440 2.970858 2.971322 2.971786 2.972249 ■9727 2.973174 2.973636 2.974097 2-974558 2-975018 1*975478 -975937 1.976396 '•976854 -977312 .977769 .978226 .978683 •979I38 •979594 .980049 .980503 .980957 .981411 ,981864 2.982271 : 2.982723 2. 2-983I75 2., 2.983626 2,1 2.984077 2. .982316 .982769 .983220 .983671 •984122 2.959237 2.959614 2.960090 2.960566 2.96104 2.966283 2.966752 2.967220 2.967688 2.968156 2.968623 2.969090 2.969556 2.970031 2.970486 ,970904 2.97i369 2.971832 2.972295 2.972758 2-973220 2.973682 2-974343 2.974604 2-975064 2-975524 2-975983 2.976442 2.976900 2-977358 2.977815 2.978272 2.978728 2.979184 2-979639 2.980094 2.980549 2.981003 2.981456 2.981909 2.982362 2.982814 2.983265 2.983716 2.984167 2.959184 2.959661 2.960138 2.960613 2.961089 2.96156; 2.96203! 2.96251: 2.962985 2-963457 2.963929 2.964401 2.964872 2-965343 2.965813 2.97095 2.971415 2.971879 2.972342 2.972804 2.973260 2.973728 2.974189 2.97465c 2.975110 2-97557° 2.976029 2,976487 2.976940 2.977403 2.977861 2.978317 2.978774 2.979230 2.97968 2^80140 2.980594 2.981048 2.981501 .981954 .982407 2.982859 2.983310 2.983762 2.95923 2.959709 2.960185 2.960661 2.961136 2.96161 2.962085 2.962559 2.963032 2.963504 2.963977 2.964448 2.964919 2.965390 2.965860 2.966329 2.966798 2.967267 2-967735 2.968203 2.96867; 2.969136 2.969602 2.970068 2-970533 2.970997 2.971461 2.971925 2.972388 2.97285 2-9733I3 2-973774 2-974235 2.974696 2-975I56 2.975616 2.976075 2-97653^ 2.97699 2.977449 2.976906 2.978363 2.978819 2.979275 2-97973° 2.980185 2.98023 2.980640 2.981003 2.981547 2.982000 2.982452 2.982904 2-983356 2.983807 2.984212 2.984257 I 2.959280 2.959757 2.960233 2.960708 2.961184 2.961658 2.962132 2.962606 2.963079 2.96S552 2.964024 2.964495 2.964966 2.965437 2.965907 2.966376 2.966845 2.967314 2.967782 2.968249 2.968716 2.969183 2.969649 2.970114 2.970579 2.968763 2.969229 2.969695 2.970161 2.970626 2.971044 2.971508 2.971971 •972434 2.972897 2-973359 2.97382c 2.97428 2.974742 2.975202 2-975661 976121 2.976579 2-97 7°3 7 ■977495 2.977952 2.978409 2.978865 2.979321 2.979776 2.980685 2.981139 2.98x592 2.982045 2.982497 2.982949 2.983401 2.983852 98431 2.959328 2.959804 2.960280 2.960756 2.961231 2.961706 2.962180 2.962653 2.963126 2.963599 2.964071 2.964542 2.965013 2.965484 2.965954 2.966423 2.966892 2-967361 2.967829 2.968 296 .971090 2.971554 2.972018 2.972480 2-972945 2-9734°5 .973866 ■974327 2.974788 2.975248 ■975707 2.976166 2.976625 2.977083 2-977541 2.977998 2.978454 2.97891 2.979366 2.979821 2.980276 2.980730 2.981184 2.981637 2.982090 2.982543 2.982994 2.983446 .983897 2-9593 75 2.959852 2.960328 2.960804 2.961279 2.961753 2.962227 2.962701 2-959423 2.959900 2.960376 2.960851 2.961326 2.961801 2.962275 2.962748 2.963174 2.963221 2.963646 2.963693 2.964118 2.964590 2.965060 2-965532 2.966001 2.966470 2.966930 2.967408 2.967875 2.968343 2.969276 .969742 2.970207 2.970672 2.971137 2.971600 2.972064 2.972527 2.972989 2-97345 2-9739I3 2-974373 -974834 2.975294 2-975753 2.976212 2.97667 2.977129 2.977586 2.978043 2.97850c 2.978956: 2-979412 2.979867 2.980372 2.980776 .981229 .981683 2.982135 2.982588 2.983040 2.98349! .983942 2.964165 2.964637 2.965108 2-965578 2.966048 2.96651 2.966986 2.967454 2.967922 2.968389 2.968856 2.969323 2.969788 2.970254 2.970719 2.971183 2-971647 2.9721 ic 2-972573 2-973°35 2-973497 2-973959 2.974420 2.974880 2-97534° 2-975799 2.976258 976717 2-977I75 2.977632 2.^78089 2.978546 2.979002 2-979457 2.979912 2.980367 2.980821 2.981275 2.981728 2.98218 2-95947 2-959947 2.960423 2,960899 2.961374 2.961848 2.962322 2.962795 2.963268 2.96374 2.9642*12 2.964684 2-965255 2.965625 2.966095 2.966564 2.967033 2.967501 2.967969 2.968436 2.968903 2.969369 2-969835 2.970300 2.970765 2.971224 2.971693 2.972156 2.972619 2.973082 ■973543 2.974005 2.974466 2.974926 2-975386 2.975845; 2-976304 2.976762 2.977220 2.977678 2^978135 2.978591 2-979°47 2-9795P3 2.979958 2.982633 2.983085 2.983536 2.983987 2-984347 2-9843922-984437 2.980412 2.980867 2.981320 2.981773 2.982226 2.982678 2.983130 2.983581 2.984032 2.984482 X 2 16.3 364 LOGARITHMS. 3 _L 2.984527 2.984977 2.985426 2.985875 2.986324 2.984572 2.985022 2.9% S411 2.985920 2.986369 2.984617 2.985067 2.985516 2.985965 2.986413 2.984662 2.985x12 2.985561 2.986010 2.986458 2.984707 2-985I57 2.985606 2.986055 2.986503 2.984752 2.985202 2.985651 2.986x00 2.986548 2.984797 2.985247 2.985696 2.986144 2.986593 2.986772 2.987219 2.987666 2.988113 2.988559 2.986816 2.987264 2.987711 2.988157 2.988603 2.986861 2.987309 2.987756 2.988202 2.988648 2.986906 2-987353 2.987800 2.988247 2.988693 2.986951 2.987398 2.987845 2.988291 2.988737 2.986995 2.987443 2.987890 2.988336 2.988782 2.987040 2.987487 2.987934 2.988381 2.988826 2.987085 2.987532 2.987979 2.988425 2.988871 2.989005 2.989450 2.989895 2.990339 2.990783 2.989049 2.989494 2.989939 2.990383 2.990827 2.989094 2-989539 2-989983 2.990428 2.99087 2.989138 2.989583 2.990028 2.990472 2.990916 2.989183 2.989628 2.990072 2.990516 2.990960 2.989227 2.989672 2.990117 2.990561 2.991004 2.989272 2-9897i7 2.990x61 2.990605 2.991049 2.989316 2.989761 2.990206 2.990650 2.991093 2.991226 2.991669 2.992111 2-992553 2-992995 2.99^270 2.99X7I3 2.992156 2-992598 2-993°39 2-99I757 2.992200 2.992642 2-993o83 2-99I359 2.991802 2.992244 2.992686 2.993127 2.991403 2.991846 2.992288 2-99.273° 2-9931?2 2.991448 2.991890 2-992333 2.992774 2:993216 2.991492 2.991934 2-992377 2.992818 2.993260 2.9848422.984887 2.9852922.985337 2.985741 2.986189 2.986637 2-987i3° 2-987577 2.988024 2.988470 2.988915 2.98936 2.989806 2.990250 2.990694 2.99x137 2.991536 2.991979 2.992421 2.992863 2-9933°4 2.985786 2.986234 2.986682 2.984932 2.985382 2.98583c 2.986279 2.986727 2.987174 2.987622 2.988068 2.988514 2.988961 2.989405 2.98985c 2.990294 2.990738 2.991182 2.991580 2.992023 2.992465 2.992907 2.993348 2.991625 2.992067 2.992509 2.992951 2.993392 2.993436 2.993877 2.994317 2-994757 2.995196 2.993480 2.993921 2.994361 2.994801 2.995240 2-993524 2-993965 2.994405 2.994845 2.995284 2.993568 2.994009 2.994449 2.994889 2.995328 2.993613 2-994°53 2.994493 2-994933 2-995372 2.993657 2.994097 2-994537 2.994977 2.995416 2-993 7°1 2.994141 2.994581 2.995021 2.995460 2-993745 2.994185 2.994625 2.995064 2-9955°4 2.993789 2.994229 2.994669 2.995108 2-995547 2-993835 2-994273 2.994713 2-995I52 2-995591 2.995635 2.996074 2.996512 2.996949 2.997386 2.995679 2.996117 2-996555 2.996993 2.997430 2-995723 2.996161 2.996599 2. 2.997037 2.997474 2.995767 2.996205 1.996643 2.997080 2-9975I7 2.995811 2.996249 2.996687 2.997124 2.997561 2-995854 2.996293 2.006720 2.997168 2.997605 2.995898 2.996336 2.996774: 2.997212: 2.997648 2.995942 2.996380: 2.996818 2.997255 2.997692 2.995986 2.996424 2.996862 2.997299 2-997736 2.996030 2.996468 2.996905 2-997343 2.997779 995 2.997823 996 2.998259 997 2-998695 998.2.999130 999 2-999565 2.997867 2.998303 2.998736 2.999174 ■999609 2.997910 2.998346 2.998782 2.999218 999652 2-997954 2.998390 2.998826 2.999261 2.999696 2.997998 2.998434 2.998869 2.999305 2.998041 2.998477 2.998913 2.999348 .99973912.999783 2.99808 5 2.998521 2.998956 2.999392 2.999826 2.998x28 2.998564 2.999000 2-999435 2.999870 2.998172 2.998608 2.999043 2.999478 2-999913 2.998216 2.998652 2.999087 2.999522 2-999957_ A Table, A Logarithmic Canon, or Table of Artificial Sines and Tangents ; the Radius 10,000,000. 29 ?• 6.4637261 6.7647561 6.9408473 7.0657860 7.1626960 7.667S445 7-694I733 7.7189966 7-7424775 7-7647537 7.7859427 7.8061458 7.8254507 7-8439338 7.8616623 Sine | Sine Comp. o Degree 0.0000000110.0000000 7.2418771 7.3088239 7.3668157 7.4179681 7-4637255 7.5051181 7.5429065 7.5776684 7.6098530 7.6398160 7.8786953 7.8960854 7.9108793 .9261190 7.9408419 7.9550819 7.9688698 7.9822334 7.9951980 8.0077867 8.0200207 8.0319195 8.0435009 8.0547814 8.0657763 8.0764997 8.0869646 8.0971832 8.1071669 8.1169262 8.1264710 8.1358104 8-I449532 8-i539°75 8.1626808 8.1712804 8.1797129 8.1879848 8.1961020 8.2040703 8.2118949 8.2195811 8-2271335 8.2345568 8-2418553 9-9999999 9.9999999 9.9999998 9.9999997 9-9999995 9.9999993 9.999999 9.9999988 9.9999985 9.9999982 9.9999978 9.9999974 9.9999969 9.9999964 9-9999959 9-9999953 9.9999947 9-999994° 9-9999934 9.9999927 9.9999919 9-999991 9.9999903 9.9999894 9.9999885 9.9999876 9.9999866 9.9999856 9.9999845 9-9999835 9.9999823 9-9999812 9.9999800 9.9999788 9-9999775 9.9999762 9.9999748 9-9999735 9.9999721 9.9999706 9.9999691 9.9999676 9.9999660 9.9999644 9.9999628 9.9999611 9.9999594 9-9999577 9-9999559 9.9999541 9.9999522 9-99995°3 9.9999484 9.9999464 9.9999444 9.9999424 9.9999403 9.9999382 9.9999360 9-9999338 Sine Comp. I Sine 1 Tang. Cor 6.4637261 6.7647562 6.9408475 7.0657863 7.1626964 7.2418778 7.3088248 7.3668169 7.4179696 7-4637173 7-505I2°3 7.5429091 7-57767I5 7.6098566 7.6398201 7.6678492 7.6941786 7.7190026 7.7424841 7-76476i' 7.7859508 7.8061547 7.8254604 7.8439444 7.8616738 .00000001 Infinite i3-5362739 3-2352438 12.9342137 12-8373~°36 12.7581222 12.6911752 12.6331831 12.5820304 1^5362727 2.4948797 2-45709°9 12.4223284 I2-39OI434 12.3601799 I2-332I5°8 12.3058214 2.2709974 2-2575I59 I2-235239° 12.2140492 I2-r93^453 I2-I745396 12.1560556 12.1383262 7.8787077 7.8950988 7.9108938 7.9261344 .9408584 12.1212923 12.1049012 12.0891062 3 2.0738656 12.0591416 7.9550996 7.9688886 7-9822534 7.9952192 8.0078092 8.0200445 8.0319446 8-°435274 8.0548094 8.0658057 8.0765306 8.0869970 8.0972172 8.1072025 8.1169634 8.1265099 8.1358510 8.1449956 8-15395I6 8.1627267 8.1713282 8.1797626 8.1880364 8.1961556 8.2041259 8.2119526 8.2196408 8.2271953 8.2346208 8.2419215 12.0449004 12.0311114 12.0177466 12.0047808 .9911908 “•9799555 1.9680554 11.9564726 .9451906 II-934I943 1.9234694 1.9130630 1.9027828 1.8927975 1.8830366 i-87349°i 11.8641490 11.8550044 11.8460484 ii-8372733 11.8286718 11.8202374 11.8119636 1.8038444 i-795874: 1.7880474 11.7803592 11.7728047 “•7653792 “.7580785 89 Decree I Sine Comp i Degree^ ^|8.2418553 9.9999338 8-2490332 8.2560943 8.2630424 48.2698810 8.2766136 8.2832434 8-2897734 8.2962067 8.3025460 8-3°8794 8-3i49536 8.3210269 8.3270163 8-3329243 8-3387529 9-99993i6 9.9999294 9.9999271 9.9999247 9.99992 54 9.9999200 9-9999I75 9.999915° 9.9999125 9.9999100 8.3445043 8-35oi8o5 8-3557835 8.3613150 8.3667769 9.9999074 9.9999047 9.999902 9.9998994 9.9998966 8.3721710 8-3774988 8.3827620 8.3879622 8.3931008 ^3981793 8-403199° 8.4081614 8.4130676 8.4179190 9.9998939 9.9998911 9.9998882 9-9998853 9.9998824 9.9998794 9.9998764 9-9998734 9-99987°3 9.9998672 8.4227168 8.4274621 8.4321561 8-43 67999 84413944 8-44594°9 8.4504402 8-4548934 8-4593013 8.4636649 8.4679850 8.4722626 43 8-47 64984 9. 8.4806932 9. 8.48484799. 8.4889632 8-493°398 48 8.4970784 8.5010798 8.5050447 8.5089736 8-5128673 8.5167264 8-52°55I4 8-5243430 8.5281017 8.5318281 58i8-5355228 598-539i863 60 8.5428192 Sine Comp\ 9.999864 9.9998609 9-9998577 9.9998544 9.9998512 9-9998478 9.9998445 9.9998411 9.9998376 9.9998342 9.9998306 9-9998271 9.9998235 9,9998199 9.9998162 9.9998125 9.9998088 .9998050 9.9998012 9997974 9-9997935 9.9997896 9.9997856 9.9997817 9-9997776 9-9997736 9-9997695 9.9997653 9.9997612 9-999757° 9-9997527 9.9997484 9.9997441 9-9997398 9-9997354 8.2419215 3150462 321122 327“43 333°249 3388563 37229I5 3776223 3828886 3880918 3932336 2491015 2561649 2631153 2699563 2766912 2833234 2898559 2962917 3°26335 3088842 3446105 3502895 3-558953 3614297 3668945 3383152 4°3338* 4083037 4I32I32 4180679 4228690 4276176 4323*5° 4369622 4415603 4461103 4506131 4550699 4594814 4638486 468172 5 4724538 4766933 4808920 4850505 4891696 4932502 4972928 5012982 505267 5092001 5I3°978 5169610 5207902 524586o 5283490 5320797 5357787 5394466 5430838 Tang. Com j Degrees. Tan. Compi I I.75807S t II.750898C “•7438351 11.7368847 “.7300437 •7233088 11.7166766 II.7101441 II.7037083 “•6973665 11.6911158 ,6849538 II.6788779 11.6728857 11.6669751 “•6611437 “•6553895 II.6497105 “•6441047 II.6385703 “•633*055 ,6277085 II.6223777 11.6171114 I I.6l19082 1.606766435 x 1.6016848 1.5966619 *•59*6963 1.5867868 1.5819321 “.5771310 1.5723824 1.5676850 *■5630378 **•5584397 **•5538897 1.5493869 *•544930* 1.5405x86 “•536*5*4 *-53i8275 “•5275462 1.5233067 1.5191080 ■5*49495 .5108304 11.5067498 1.5027072 1.4987018 *•4947329 l65 i65 LOGARITHMIC Table of 018.5423192 118.5464218 2 8-5499948 3 8-5535386 48.5570536 5 8.^605404 8-5639994 8.5674310 8-5708357 98.5742139 8.5775660 8-5971517 8.6903317 8.6034886 19 8.6066226 8.6097341 8.5808923 8.5841933 8.5874694 8.5907209 8.5939483 8.6i 28235 8.6158910 8.6189369 8.6219616 8.62496i?3 8.6279484 8.630911 8-6338537 8.6367764 8-6396796 8.6425634 8.6454282 8.6482742 8.6511016 8.6539107 8.6567017 8.6594748 8.6622303 8.6649684 8.6676893 8.6703932 8.6730804 3.6757510 8.6784052 8.6810433 .6 8.6836654 3.6862718 8.6888625 8.6914379 8.6939985 8.6965431 , 8.6990734 9. 8.7015889 9. 8.7040899 8.7065766 8.7163829 9-99973 ^ 9.9997309 9.9997265 9-999722! 9.9997174 9-9997128 9.9997082 9.9997036 9.9996989 9.9996942 9.9996894 9.9996846 9.9996798 9.9996749 9.9996700 9.9996650 9.9996601 9-999655° 9.9996500 9.9996449 9.9996398 9.9996346 9.9996294 9.9996242 9.9996189 9.9996136 9.9996082 9.9996028 9-9995974 9-99959I9 9.9995865 9.9995809 9-9995753 9-9995697 9.9995641 9-9995584 9-9995527 9.9995469 9.9995411 9-9995353 9-9995297 9-9995236 9.9995176 9.9995116 9-9995°56 9-9994996 9-9994935 9.9994874 9.99948 9-999475° 9.9994688 9.9994625 1.9994562 .9994498 9-9994435 9-999437° 8.7090490 9.9994306 8-7115°75 9-9994241 8-7I3952o9-9994i76 9.9994110 60 8.7188002 9.9994044 I T.in" 8-5430838 [ 1'ane. Comp .4369162 60 5466909 5502683 5538166 5573362 5608276 5642912 5677275 5711368 5745197 5778766 5812077 5845136 5877945 5910509 5942832 .4187923 .4154864 I.4122055 II.4089491 11.4057168 5974917 6006767 6038386 6069777 6100943 31889 6162616 6193127 6223427 6233518 6283402 6313083 6342563 6371845 6400931 6429825 6458528 6487044 6515375 6543522 6.571490 6599279 662689 665433 6681598 6708697 6735628 6762393 6788996 A8LL437 8.68417 '".6867844 6893813 6919629 6945292 6970806 699617 7021390 7046465 7071395 7096185 7120384 7145345 169719 193958 Tang. Comp. I1-4533091 1I-4497317 H4461834 II.4426638 4391724 1435708854 I.4322725 I.4288632 II.4254803 14221234 H.4025083 I-3993233 1.3961614 1.3930223 .3899057 [.3868 [-3837384 [.3806873 '•3776573 11.3746482 •3716598 n.3686917 114657437 11.3628155 3599059 1 i-357oi75 11.3541472 1.3512946 1.3484625 •3456478 1.342851 1.3400721 1-3373109 1-3345669 11.3318402 11.3291303 1*3264372 1.3237607 [1.3211004 11.3184563 11.315828 11-313215- [.310618 [.308037 11.3054708 11.3029194 11.3003828 11.2978610 11-2953535 1.2928605 11.2903815 11.2879166 11.2854655 11.2830281 1.2806042 87 Degrees Tang. 8.7188002 9.9994044 8.7212040 9.9993978 8-7235946 9-9993911 8.7259721 8.7283366 8.7306882 Sine ISineC'i. 3~Degrees. 8.7330272 8-7353535 8.7376675 8.7399698 8.7422586 9.9993844 9-9993776 9.9993708 8.744536o 8.7468015 8-7490553 8-7512973 8-7535278 8-7557469 8-7579546 8.7601512 8.7623366 8.764511 9.9993640 9-9993572 9-9993503 9-9993433 9-9993364 9-9993293 9.9993223 9-9993I52 9.999308 9.9993009 8.7666747 8.7688275 8.7709697 8.7731014 8.7752226 8-7773334 8-779434° 8.7815244 8.7836048 8-7856753 9.9992572 9.9992498 9.9992424 9-9992349 9.9992274 8-7877359 S.7897867 8.7918278 8-7938594 8.7958814 8.7978941 8.7998974 8.8018915 8.8038764 408.8058523 8.8078192 8.8097.772 8.8i 17264 8.8136668 8-815598, 8.8175217 8.8194363 8.8213425 8.8232404 8.8251299 9. 8.8270112 8.82888449. 8.8307495 8.8326066 8-8344557 8.8362969 8.8381304 8.8399561 8.8417741 8-8435845 VLi 1 9.9992938 9.9992865 9-9992793 9.9992720 9.9992646 9.9992198 9.9992122 9.9992046 9.9991969 9.9991892 9.9991815 9.9991737 9.9991659 9.9991580 9-999150* 9.9991422 9.999134: 9.9991262 9.9991182 9.9991101 9.999102; 9.9990938 9.9990856 9.9990774 9.999069: .9990608 .9990525 •9990441 •9990357 •999°273 .9990188 .9990103 .9990017 •998993 •9989845 .9989758 .9989671 .9989584 .9989496 .9989408 8-7193958 7218063 7242035 7265877 7289589 73.11.174 733663 7359964 7383i72 7406258 7429222 11.2806042! 10 11.278193759 11.2757965 11.2734123 11.2710411 11.2686826 7452067 7474792 7497400 7519892 7542269 7564531 758668 7608719 7630647 7652465 7674175 7695777 7717274 7738665 7759952 7781136 7802218 7823199 7844079 7864861 7885544 7906130 7926620 7947014 796731, 79875 800763 8027653 8047583 8067422 8087172 8106834 8126407 8145894 5165294 518460b 5203838 8222984 8242046 8261026 11.2663369 11.2640036 11.2616828 n.2593742 11.2570778 11*2547933 11.2525208 11.2502600 11.2480108 n-245773 11.2435469 11-2413319 ii.239128 11*2369353 n-2347533. 11.232582. 21.2304223 11.2282726 262335 11.2240048 11.2218864 .2197782 .2176801 11.215592 1*2135139 1.21x4456 1.2093870 1.207338; 11.2052986 11.203 2687, 1.201248 1.1992368 1.1972347 11.195241 i*i9325755 11.1912^8 1.1893166 i*i873593 1.1854106 11.1834706 815392 11.1796162 11.1777016 11.1757954 738974 1.1720076 1.1701259 1.1682522 1.1663866 1.1645288 11.1626789 .1608367 .1590023 •I57I755 ii*i553563 86 Degrees SINES AND TANGENTS. Sine |Sj 4 Degrees. 08.8435845 9.9989408 1 8.84538749.9989319 2 8.8471827 9.9989230 3 8.8489707 48.8507512 58.8525245 6 8.8542905 7 8.8560493 8 8.8578010 9 8.8595457 0 8.8612833 11 8.86301399.9988414 8.8647376 8.86641:45 8.8681646 £5 8.8698680 13 188.8749381 19 8.8766150 208.8782854 „ 8.8832581, 4 8.8849031 9 58.88654189 ■6 8.8881743 ■7 8.8898007 '8 8.8914209 '98-8930351 08,8946433 11 8.8962455 12 8.8978418 13 8.8994322 14 8.9010168 15 8.902595 16 3.5704168 5 !7 8.9057358 i° 8.9072975 ;9 8.9088535 •Q 8,9104039 1 8.9119487 •28.9134881 3 8.9150219 48.9165504 j 8.9180734 8.919591 _ 8.9211034 8.9226-105 [ 8.9241123 8.9256089 8.9271003 8.9285866 8.9300678 548.9315439 >5 8.9330140 ;6 8.934481 _ ' 8.9359422 . ; 8.9373983. 598.93884969. 18.9402960 53 57 Sine Comp. Sine. ~ | I'ang. Couij . 9.9989141 9.9989052 9.9988962 9.9988871 9.998878c 9.9988689 9.9988598 9.9988506 8.8446437 11.155356360 _o 8.9402960 " ^153544659 18.94173^6 I'I5I74°3 58 28.943x743 I-I499435 57 :3 8-9446o63 i.!48i539 56 48.9460335 55 J 8.9474561 9.9988321 9.9988228 9.9988135 9.9988041 16I8.8715646 9.9987947 I7j8.8732546 9.9987853 9.9987758 9.9987663 9.9987567 21 8.87994939.9987471 516069 9*998737 5 "19.9987278 1 9.9987181 8 9.9987084 1.1445966 11.1428287 11.1410679 II,I393I4I ri-I375^73 II*I35«275 11.1340945 11.13-23683 11.1306489 11.1289362 11.1272301 ci.1255306 11.1238377 11.1221513 [1.1204714 9.9986986 9.9986888 9.9986790 9.9986691 9.9986591 9.9986492 89.9986392 9.9986292 9.9986191 9.9986090 9.9985988 9.9985886 9.9985784 9.9985682 9.9985579 9-9985473 9-9985372 9.9985268. 9.9985163 9.9985058 9.9984955 9.9984848 9-9984742 9-9984636 9-9984520 9.99844^2 9.998.4315 9.9984207: 9.9984099 9.9983990 >9983881 9-9983772 9.9983663 >9983553 9-9983442 8894757 .8911119 3.8927420 S.8943660 3.8959842 8975963 .8992026 .9008030 9023977 9039866 -,1187978 1.117x30638 1,1154697 1.1x38150^- 1.1121666 35 ,1105243 ,1088881 _ 11.107258032 11.1656340 31 11.1040158 11.1024037 ex.1007974 [1.0991970 c 1.0976023 11.0960134 n.0944303 I ^0928-5 28 1.09128.10 1.0897147 11.0881540 85 Degrees. 8.9055697 8.9071472 8,9087x90 8.9102853 8.9118460 8.91340^ 8.9i495°9 8.9164952 8.9180340 8-9195675 8.9210957 8.9226186 '8.9241363 8.9256487 8.9271560 8.9286581 ^•93 0155 2 8-931647 "‘933134° 1.9346160 8.936o9'2^ 8-937565.0 8.9390321 8.9404944 8.9419518 Tang Comp Tang. II.C865988 II.0850491 II.0835048 H. 0819660 II.0805325 789043 H.0773814 !.O758637 IJ’°743Sil3 .072.8440 11.0713419 .0698448 0683529 ^0668660 .0653840 .0639071 .0624350 11^609679 I. 0595056 1.0580482 5 Degrees 9^98344: 148.9600517 5 8.961428 "' 9.998x859 19-9981743 6 8.96280149.9981629 7 8.9641697 9.9981510 8 8-9655337 9:998i393 9 8.9668934 9.9981275 08.9682487 9.9981158 1 8.9828829 9-9979838 2 8.98418899-9979716 38.98549109-9979593 4 8.9867891 9-997947° 5 8.9880834 9-9979347 368.98937379.9979223 7 8.9906602 9-9979°99 8 8.99194299-9978975 9 8.9932217 9-9978850 0 8.9944968 9-997872,5 >9983332 9.9983220 9.9983109 9.9982997 9.998288 9.99827^ 6 8.94887391 .. 7 3.9502871 9.99H2660 8 8.9516957 9.9982546 9 8-953°996 9-9982433 ?8-954499i 9-99823i3 1 8.95589409.9982204 2 8.9572843 9.9982089 38.9586703 9.9981974 1 8.96959999.9981040 2 8.9709468 9.9980921 3 8.9722895 9.9980802 4 8.9736280 9.9980683 5 8.9749624 9.9980563 6 8.9762926 9-9980443 7 8.9776188 9-9980323 8 8.9789408 9.9980202 9 8.9802589 9.9980081 0 8.9815729 9.9979960 1 8.9957681 9-9978599 2. >997Q356 >9978473 3 8.9982994 9-9978347 4 8-9995595 9-997822o 5 9.0008160 9.9978093 6 9.0020687 9-99779t)6 79.0,0331799.9977838 8 9-0045634 9-9977712 99^0580539.9977582 _o 9.0070436 9-9977453 5119.0082784(9.9977323 5219.009509619.9977194 53 !>°1 o73 7419-997 7 064 54[9.oi 19616!9.9976933 55l9-OI31823 9.9976803 56:9.0143996 9.9676672 57:>OI56i35>997654D 58!9.oi68239’9.99764o8 59:9-01803099.9976276 60; 9.01923 46 9.997614 3 ( Sine Con.p. | Tang. ['ar g. Comp. 9419518 II.0580482 411.0565956 3 11.0551477 4 11.0537046 5 11.0522662 : 1.0508324 7 11-0494033 1 11.0479789 0 11.046559: 4ii.°45i436 2 11.0437328 1.0423265 11.0409246 ij 11.0396272 9 n*038134 5 11.0367455 3 II-°3536i4 8 11.0339812 411.0326056 8 11.0312342.. 3 11.029867040 9782483 9795865 9809206 9822507 9835769 848991 862173 875317 888421 901487 9I45I4 927503 940454 >53367 966245 9.79081 .9991883 9.0004647 j.0017375 £0030060 ).004272 i-OQ5534!- ),oo679;24 >,0080471 >.0092984 >.0105461 1,0117903 (.0130310 (.014268.2 1.0155021 (.0167325., •0179594 (.0191.831 1.0204033 (.0216202 11.028504: xi.0271453 - 257908 1.0230940 11.024440336 35 34 33 32 I‘0ZI7S17 1.0204135 1.0190794 1.0177493 11^016423 11.0151009 1.0137827 11.0124685 ;ni579 11.0098513 .0085486 11.0072497 .1.0059546 1.0046633 1-°°.33757 .0020919 .0008117 IO-9>95353 10.9982625 10.9969934 °-9937279 0.9944660 0.9932076 Q-99I9529 10.9907016 84 Degrees. ;0-9894539 10.9882097 10.9869690 10-9857318 >•9844979 7 6 _5 10.9832.6751 4 10.9820406 3 10.9808169 2 10.97959671 1 1^9783798! Q Tang. 167 s68 LOGARITHMIC Table OF 11 9.O322567 12 9.0334212 13 9-°345825 i*49<03574°7 15 9.03689^8 76 9.0380477 17 9.0391966 189.0403424 99.0414852 20,9.0426249 2i;9.°4376i7 22;9.0448954 23'9.046o26i 249.0471538 25,9.0482786 26^9.0494005 27!9'05°5i94 2819.0516354 299.052748; 30,9.0538588 P I S:ne ISine Comp. 019.0192346 9.9976143 6 Degrees TanT- I 9.0204348 9.9976011 29.02163x8 39.0228254 49.0240157 5 9.0252027 6 9.0263865 79.0275669 89.0287442 99.0299182 10 9.03108901 9-9973971 9-9973833 9-9973693 9-9973554 9-9973414 3119.054966 3219.0560706 33 9*°57I723 349.0582711 3519-059367T 36 9.0604604 9.0615509 9.0626386 9.0637235 9.0648057 9.0658852 9.0669619 9.0680360 44 9.0691074 45 9.070? 76: 4619.07x2421 47,9.07230 ;5 48 9-°733663 49 9-°744244 509.0754799 519.0765329 52|9-o775832 53|9-o7863io , . 5419.07967629.9968431 9.0807189 9.9973273 9.9973132 9-997299I 9-9972850 9.9972708 9.9972566 9.9972423 9.9972280 9.9972137 9.9971992 0.9968278 9.9968125 0.9967971 9-9967817 9.0848643 9.9967662 9.9967507 ,9.0216202 9.0228338 9.0240441 9.0252510 9.0264548 9.0276552 9.0406506 9.0418134 9.0429731 9.0441290 9.0452836 9-0464343 9.647582: 9.0487270 9.0498689 9.05x0078 Tane Com. 1^X9783798 IO.9771662 0-9759559 IO-974749° 0-9735452 0.9723448 9.0742779 9-0753563 9.0764321 9-0775053 9.0785760 9.0796441 9.0807096 9.0817726 9.0828331 9.08389: 9.0849466 9.0859996 9.0870501 9.0880981 9.0891438 Tang. Com.- O.9711476 IO.9699536 IO.9687627 IO.9675751 IO.9663907 IO.9652094 IO.9640312 IO.9628561 IO.9616841 10.9605152 1 o-9593 494 T0.9581866 10.9570269 10.9558701 10.9547x64 IO-9535657 10 9524179 10.9^12730 10.9501311 ro.9489922 83 Degrees 9.0858945 9.0869221 9.0879473 9.0889700 9.0899903 9.0910082 9.0920237 9.0930367 9.0940474 9-0950556 9,0960615 9.097065 9.0980662 9.0990651 9.1000616 9.10x0558 9.1020477 9-1030373 6.1040246 9.1050096 9.9964493 9-I°59924 9.99643 3 o 9.1069729 9.1079512 9.108927 9.109901 9.110872 Sine j Sine Cor 7 Degrees 9.9967507 9-9967352 9.9967196 9.9967040 9.9966884 9.9966727 9.9966570 9.9966412 9.9966254 9.9966096 9-9965937 9.9965778 9.9965619 9-9965459 9.9965299 9.9965138 9.9964977 9.9964816 9.9964655 9.1118420 9.1128092 9.XI37742 9-1I4737° 9.1156977 9.9964167 9.9964004 9.996384: 9.9963677 9-99635 9.1166562 9.1176125 9.1185667 9 1195188 9.x 204688 9.1214167 9.17223624 9.1233061 9.1242477 9-1251872 41 9.1261246 9.1270000 9.1279934 9.1289247 9.1298539 9.1307812 9-I3I7°64 9.1326297 9-I3355c9 9.1344702 9-i353875 9.1363028 9.1372161 9.x38x275 9-1390370 9-1399445 9.1408501 9-I4l7537 9-1426555 9-1435553 | S;ne Com( 9-9963348 9.9963183 9-9963QI8 9.9962852 9.9962686 9.99591 11 9-9958936 9 995876 9.9958586 9.9958411 9-9958235 9.9958059 9.9957882 9-9957705 9.9957528; 9.1004872 9.X015044 9.1025192 9-10353i7 9.1045410 9.1055500 9-1065557 9-I°7559I 9.1085604 9-io95594 9.1105562 9.1115508 9-1 i2543i 9-1 i35333 9-^45213 Tang. | Tang. Com. | 9.0953667 9-0963955 9.0974219 9.0984460 9.0994678 9.1155072 9.1164909 9.1174724 9.1x84518 9 i194291 9.1204043 9-1213773 9.1223482 9-I233i7 9.1242839 9.1252486 9.1262112 9.1271718 9.X28I303 9.1290868 9-x 3004x3 9-1309937 9.13x9442 9.1328926 9^33§39I 9-1347835 9-i35726o 9.1366665 9.1376051 9-I3854- 9.1394764 9.1404092 9.14x340c 9.1422689 9-I431959 9.1441210 9.1450442 9.1459655 9.1468850 9.1478025 Tang. Com. 10.910856260 IO.9O9813 IO.9087723 IO.9077340 IO.9066980 IO.9056645 IO.9046333 IO.9036045 x 0.90257 81 10.9015540 0.9005322 10.899512849 10.898495648 10.8974808 10.8964683 10.8954580 10.8944500 10.8934443 xo;8924409 10.891436641 10.890440640 10.889443839 10.888449238 19.8874569137 10.886466736 [IO.8854787I35 io.8844928!34 10.883509133 10.882527633 io.88x 548231 10.880570930 10.8795957 xo.8786227 10.8776518 10.876682926 :o-875746i 25 10.874751424 10.8737888 10.8728282 10.8718697 10.8709132 8699587 10.8690063 ,10.8680558 10.8671074 16 10.8661609 0.8652x65 10.8642740 ‘0-8633335 10.8623949 10.8614583 10.8605236 0.8595908 10.8586600 10.857731 10.856804 0.8558790 10.8549588 0.8540345 ‘0-853II50 10.8521975 Tang. 85 Degrees SINES AND TANGENTS. 8 Degre Sine Comp. j Tang. | Tang. Comp, j ° 9-1435553 9-9957528 9.1478025 10.8521975,6c 19.14445329.9957350 9.148718210.851281859 2 9-1453493 9-9957r72 9.1496321 10.8503679 58 9.1565441 10.849455957 9-I5I4543 10.848545756 9.1523627 10.8476373 55 9.1462435 9.1471358 9.1480262 9.1489148 9.1498015 9.1506864 9-i 515694 9-r5245°7 9-i5333oi 9.1542076 9-1550834 9-I559574 15 9.1568296 9.1577000 9.1585686 9-I594354 9.1603005 9.1611639 9.9953902 9-9957350 9-9957 r7 2 9-9956993 9.9956815 9.9956635 9.9956456 9.9956276 9.9956095 9*99559*5 9-9955 73 4 9-9955552 9-9955370 9-9955i8" 9-9955005 9.9954822 9-9954639 9-9954455 9.9954271 9.9954087 1 9.1620254 2 9.1628853 3 9-i637434 9- 4 9.1645998 5 9-i654544 6 9.1663074 27 9.1671586 2819.168008 2919.168855^9. 309.1697021 9 1 9.1705465 9 29.17138939 39.17223059, 49.1730699 9.9 59-17390779 6 9-I747439 9 7 9-I755784 9 8 9.1764112 9 99.17224259 09.1780721 1 9.1789001 9 2,9.17972659 9-i532692 9-I54I739 9.1550769 9-i55978o 9-^568773 ic.8467308 54 10.8458261 10.8449231 10.8440220 10.843122752 10.8422252 49 io.84i3294 10.8404354 IO-839543I 10.8386527 10.8377659 10.83687,69 10.83599! 7 10.8351081 10.8342263 9.1753622 10. 9.1762239 .1770840 779425 T787993 |1796546 9.1805082 .1813602 9.1822106 9 1830595 839068 1 . 8475251 9.1855966 1 864392 1 872802 1 9.1881 889575 1 9-i297939 1 906287 i 914621 9.1922939 1 931241 . 939529 1 9.1947802 956059 1 9.1964302 1 919725301 9.1980743 i 9.1988941 9.19971251 .8246378 2 .8237761 ' .8229260 2 .8220575 2 .82x2007 ^ •82034542 >.8194918 2 >.8186398 2 >.8177894 2 >.8169405 2 >.8160932 1 >.8152475 1 >.8144034 >.8135608 1 >.812719'' >.8118804 1 >.0110425 1 >.8102061 >.8093713 i -80853791 >.8077061 >.8068759 >.8060471 >.8052198 >.8043941 >•8035698 >.8027470 >.8019257 >.8011059 >.8002875 1 Degrees 9.2107597 9.2115263 9.2122914 9.2130552 9*2138176 9.2145787 9-2i533849' 9.2160967 9.2168536 9.2176092 9-2183635 9.2191164 9.2198680 9.2206182 9-2213671 9.2221147 9.2228609 9.22360 CO 9.2243495 9.2250918 9.2258328 9.2265725 9.2273110 9.2280481 9.2287839 9.2295185 ,, 9.2302518 489.2309838 9-2317145 9.232444: 9.2331722 9.2338992 9.2346249 9. 9-2353494 9.2360721 9-2367946 9*2375153 9.2382349 9-2389532 9-2396702 Degrees 9.9941914 9.9941706 9.9941498 9.9941289 9.9941079 9.9940870 ,9940659 9.9940449 9.9940238 9.9940027 9-99398I5 9.9939603 9-9939391 9.9939178 9*9938965 9-9938752 9-9938^38 9-9938324 9.9938109 9-9937894 9-9937679 9-9937463 9-9937247 9.9937030 9*99368 9*9936596 9*9936378 9.9936160 9-9935942 9-9935723 9-9935504 9-9935285 9-9935o65 9.9934844 9.9934624 9-9934403 9-993418i 9*9933959 9*9933737 9-99335T5 I'ang. C r 9-I997125 9.2OO5294 9.2OI3449 9.202] 9.2029714 9.2037825 IO*78343I7 39 10.782644438 10.781858337 10.781073636 0.7802903 9*2204917 9.2212724 9.2220518 9.2228298 9.2236065 9.2243819 9.2251561 9.2259289 9.2267004 9.2274706 9.2282395 9.2290071 9*2297735 9.2305386 9-23I3oz4 9.2320650 9.2328262 9*2335863 9-2343451 9.2351026 9.2358589 9.2366139 9.2373678 9.2381203 9-2388717 8g> Degrees 10.8002875 60 59 58 57 ;6 55 10.7994706 10.7986551 10.7978412 10.7970286 ■7962175 IO-7954°78 IO-7945996 10.7937928 io-7929874 10.7921835 10.7913809 IO-79°5797 10.7897800 10.7889816 10.7881847' IO-7795°83 _ . 10.778727633 IO-7779482 10.7771702 IO-7763935 io*775oi8i 10.7748439 iQ.7740711 10.7732996 10.7725294 0.7717605 10.7709919 10.7702265 10.7694614 0.7686976 10.76793 50 10.7671738 10.7664137 10.7656549 10.7648974 10.76414: 10.763386: 10.7626322 10.7618797 10.761*1283 0.7603782 10.7596292 10.7588815 10.758135° 0-7573897 0.7566457 10.7559028 10.755161 0.7544206 j. 7 536812 T'allg. io.787389 io*7865949 43 10.785802042 10.785010641 10.7842205 Vol. X. Tart I. .2 7° LOGARITHMIC Table of io Degrees ° 9-23967°2 9-9933515 9-2i63l 88 .io-75368: 119.2403861.9.9933292 29.2411007 9.9933068 39.24181419.9932845 49>24252<549-993262i _ii 9-24323H 9-993 23 9^ '6:9.2439472 9.993 217. 7|9'244^558 9.9931946 8i9.2453632i9-993I720 99.2460695:9.993x494 10I9.2467746 9.993x268 1119.2.4747849.9931041 129.2481811:9.9930814 13 9.2488827 9.9930587 9 14 9.2495830 9.9930559 9 14 9.25028229.9930131 ;x 9.2613141 9 |2 9.261994I 9 13 9.2626729 9 !4 9-26335°7 5 15 9.2640.274 S 9.2713997 9.2720635 : 9.2727263 9.2733880 9.2740487 9.2747083 9.2753669 9-2760245 j4 9.27668 9.2773366 69.27799 7 9.2786445 89.2792970 599.2799484 60 9.2805988 5° 53 9.9922866 9.9922626 9.9922385 9.9922144 9^921902 9.9921660 9.0921418 9.9921175 9.9920932 9.9920689 9^992045^ 9.9920201 9.9919956 9.99197 9.9919466 'I'ang. i’ang. Com 2470569IO.753943I 2477939 IO.7522061 2485297! xo-7514703 2492643 10.7507357 2499978; 10.7500022 257990 2587099 : 2594285 2601461: 2608625 : 0.7420099 0.7412901 0-74°57I5 2-7398539 °-739I375 2615779 2622921 2630053 2637173 2644283 : 2651382 1 2658470x 2665547 t 2672613 i 2679669 1 2686714 2693749 1 2700772 2707786 2714788 2721780 1 2728762 2735733 r 2742695 t '4964: 2756583 1 276351. 2770434 1 2777343 1 2784242 0.7384221 0.7377079 0.7369947 0.7362827 3-73557I7 .7348618 •734I530 •7334453 •7.327387 ■732033X )-73i325o 5.7306251 5.7299228 .7292214 >■7285212 >.7278220 >.7271238 >.7264267 >.7257306 >■7250356 ’•7243416 >.7236486 >.7229566 >.722625 ’•72x5758 2791131 2798009 2804878 2811736 281858c 282542. 283225 2839070 284587810. 2852677 10. 9.2859466 >9.2866245 !9-2§73oi4 19.2879773 9.2886523 Tang. Com. 0.7208869 O.72OI99 O.7X95I22 o.7i882>' °-7i8i4 7174577 .7167749 .7x60930 .7154122 7x47323 3-7i4°534 3-7I33755 0.7126986 0.712022; 0.7113477 79 Degrees 9.280598819.9919466 9.28x2483 9.9919220 9.2818967 9.9918974 9.2825441 9.2831905 9-2838359 Jj 11 Degrees -I | 9.9918727 9.9918480 9.9618233 9.2908704 9.29X 5040 9.2921367 9.2927685 9-2933993 9.9917980 9-99I7737 9.9917489 9.9917240 9.991699 9.9916741 9.9916492 9.9916241 9.99x5990 9-9915739 9.294029: 9.2946580 9.2952859 9.2959129 9.296539° 9.2971641 9.2977883 9.2984116 9.2990339 9-299(0553 9-3°°2758 9.3008953 9.30x514c 9.3021317 9-3°2748 9.991295: 9.99x2696 9.9912440 9.99x2184 9.9911927 46 47 48 49 5^ .. 9-3124951 52 9.3130968 9.3136976 9-314 297 5 9.3148965 9-3°94737 9.3100798 9.3106849 9-3112892 9.3118926 9-3154947 9.3160921 9.3166885 599.3172842 609.3178789 I Sine Comp. 9.9915488 9.9915236 9.9914984 9-991473 9-99 H47« 9.991422; 9.991391 9.99137*. 9-9913462 9.9913^207 9.991167c 9.9911412 9-99Ilr54 9.9910896 9.9910637 9.9910378 9.9910119 9.9909859 9-9909598 9-99093 3 § 9.9909077 9.9968815 9.9908553 9.9908291 9.9908029 9.9907766 9.9907502 9.9907239 9.9906974 9.9906710 9-9906445 9.9906180 9.9905914 9.9905648 9.9905382 9-99°5I *5 9.9904848 9.990458° 9.9904312 9.9904044 9.2886523 9.2893263 9.2899993 9.2906713 9.2913424 9.2920126 9.29268x7 9.2933500 9.2940172 9.2946836 9-29534^9 07113477 60 59 58 57 5(> i?| 10.707318354 10.706650053 10.7059828 52 10 7053164151 10.70465: 10.7106737 10.7100007 10.7093287 10.7086576 10.7079874 9.2960134 9.2966769 9-2973395 9.2980011 9.2986618 9.2993216 9.2999804 9-3°°6383 9.3012954 9.3019514 9.3026066 10.697393439 9.3032609 9-3Q39143 9-3045667 9-3°52i83 9.2058689 9.3065187 9-3°7lt7S 9-3°78l55 9.3084626 9.309108& 9-3°9754I 9.3x03983 9.3110421 9.3116848 9.3123266 9.3x29675 9.3136076 9.3x42468 (>314885 9.3155226 9-3161592 9-3i6795c 9.3174290 9.318064: 9.3 x 8697: 9-3193 295 9-3 1996 H 9-32°59l8 32x2: 9.3218506 9.3224788 9.3231061 9-3237327 9.3243584 9.3249832 9.3256073 9.3262305 9-3268529 9-3274745 Tang. Com. xo.7039866j49 ,10.703323148 10.702660547 io.7oi9989'46 7°13382!45 xo.7oo6784i44 10.7000196I43 10.6993617142 10.698704641 0.6980486I40 10.696739 10.6960857 IO-6954333 xo.69478 10.6941311 0.6934813 10.6928325 10.6921845 10.6915374 0.690891 0.6902459 0.6896015 0.6889579 0.68831f2 10.6876734 10.6870325 10.6^63924 10-685753 1 10.685114 0.684477. 0.6838408 0.6832050 10.682570 10.681936. 0.6813028 0.6806705 10.6800389 r 0.679408 2 0.678778. 10.6781494 10.6775212 0.6768939 10.6762673 10,6759416 10.6750x68 10.6734927 0.6737695 10.6731471 10.6725255 78 Degre Tang. SINES AND TANGENTS. 12 Degrees 9-9904°44 9.3184728 9.9903775 29.31906599.9903506 39.3196581 9.9903237 4|9.3202495'9.9902967 9.3208400 9.9902697 9.3214297 9.3220186 9.3226066 9-323I938 9:323 7802 9-3 243657 9.3249505 9-3255344 9.3261174 9.3266997 9.327.2811 9.3278617 9.3284416 9.3290206 9-3 295988 9.3301761 9-33°7527 9-33I3285 9-33I9335 9-3324777 9.9902426 9.9902155 9.9901883 9.990161 9^901330 9.9901067 9.9900794 9.990052 9.9900247 9.989997 9.989969! 9.9899423 9.9899148 9.9898873 9.9898597 9.989832c 9.9898043 9.9897766 9.9897489 9.98972 9-33305 o 9-3336237 28 9-334I955 9-3347665 9-3353368 9-3 3 59°62 9-3364749 9.3370428 9-338i762 9-3387418 9-3393065 9.3398706 9-3404338 9.3409963 9-34I558 9.3421190 9.3426792 9-3432386 9-3437973 46 9-3443552 9.3449124 9.3454688 '9.3460245 39I9-3465794 9.9890137 3119-3471336 52I9.3476870 9.988956c 339-3482397 349-34879I7 33|9-349342Q 9.9896932 9.9896654 9.9896374 9.9896095 9.9895811 9-9895535 9-9895254 . 9-9894973 9.3376099 9.9894692 9.9894410 9.9894128 9.9893845 9-9893562 9.9893279 9.9892995 9.98927 9.9892427 9.9892142 9.9891856 9-989157 9.9891285 9.9890998 9.9890711 9.9890424 9.98S9849 9.988927 9.9888982 9.988869 9-3498934'9-9888403 9-35°443 219.9888113 9.35099229.9887822 9-35i5405!9-988753i 9-3 52o8 80; 9.9887 239 9-33731I3 9*3379i94 9-3385267 9-339I333 9-3397391 9-340344I 9.3409484 9*34i55i9 9.3421546 9.3427566 9-3433578 9-3439583 9-344558< 9-345i57o 9-3457552 •3 10.6719047 ■340.6712847 .5! 10.6706655 :8/10.670047 2 >4! 10.6694996 0.6688128 5 10.6626887 4 10.6620806 4 10.6614733 4 10.6608667 4 0.6602609 4 10.659655939 10.6590516 3° 10.6584481 3 1.6578454 3 10.65724343 0.65664223 10.6560417 3 10.65544203 0.654843c 3 0.6542448 3 9-3463527 9.3469494 9-3475454 9.3481407 9-3487352 9-3493290 9.3499220 9-35°5i43 9-35I1059 9.3516968 9.3522869 9-3528763 9-3534650 9-3540530 9.3546402 9-3552267 9-3558i26 9-3563977 9.3569821 9-3575658 9.3581487 9-35873io 9.3593-126 9.-3598935 9-3604736 10.6657409 4 10.6651189 4 10.6645177 4 10.6639073 4 10.6632976 4 10.6536473 2 10.6530506 2 10.6524546 2 10.6518593 2 10.6512648 2 10.6506710 2 10.6500780 2 10.6494857 2 10.6488941 2 10.6483032 2 10.6477131 10.6471237 10.6465350 1 10.645947c 1 10-6453 ^98 £ 0-6447733 1 10.6441874 1 0.6436023 1 9-6430179 1 10.6424342 1 9.3610531 9-3616319' 9.3622100! 9.3627874' 9-3633641 10.6418513 10.6412690 0.6406874 0.6401065 10.6395264 _ 10.6389469 10.6383681 10.6377900 10.6372126 10.6366359 _ 77 Degrees 13 Degrees | Tang. Cotnt'. ;l 10.672525560 I o 9.352o88o'9.9887239' 9.3633641 10.63663 59 169-3607515 179-3612870 189.3618217 19 9-3623558 9.3628892 9-35263499.8886947, 29-35318109.9886655! 39-353726419.9886363 49.354271019.9886070I i 9-3548i 1:019.9885776! 69-3553582 7 9-3559007 8.9.3564426 99-3569836 io|9-357524Q 11 9.3586637 29.3586027 ^9-359I409 9-98834x5 ;9 49-3596785 15i9.3602i 54 9*3634219 9*3639539 9.3644852 9.3650158 9v3655458 9.3660750 9.3666036 9*3671315 9.3676587 9.3681853 9.3687m 9.369236^ 9.3697608 9.3702847 9^37080799. 9-3713304 9-3718523 9-3723735, 9.3728940 9. 9-3734139 9-3739331 9-37445I7 9.3749696 9.3754868 9.3760034 9.3765194 9-3770347 9-3775493 9.3780633 9-3785767 9.3796894 9-3796oi5 6.3801129 9.3806237 9-38ii339 9.3816434 9-3821523 9.3826605 9.3831682 9-38367 ^ Sine Com|i 1.9881029 1.9880729 1.9880429 1.9880128 1.9874827 •987952„ .9879223 .9878921 .9878618 ■9878315 .9878012 .9877708 .9877404 .9877099 9876794 .9876488 .9876183 .9875876 ■9875570 •9875263 •9874955 .9874648 •9874339 .9874631 •9873722 •9873413 .9873103 .9872793 .9872482 •987217 .9871860 .9871549 .9871236 •9870924 .98706: .9870298 .9869984 .9869670 .9869356 ■9869041 t 10.6360599! 5 10.6354845 1 10.6349099 1 IC-6343359 4.10.6337626 0 10.6331900 p 10.6326181 2 10.6320468 3 10.6314762 7 10.6309063 9-3 p 10.630337 5 10.6297685 4 10.6292006 0.6286333 10.6280667 9.3864376 9.3869869 9-387535^ 9.3880837 923886312 9-3891781 9.3897244! 9.3902700 9.3908151 J-391359 9-39i9°34 9-392446< P.392'9893 9-3935313 0.3940727 p.3946136 9-395I538 9-5956935! 6275008 ^ 10.6269355 ^ 10.6263709 ^ 0.6258070 ^ 0.6252437 i. 9 55 :0.6218775 54 7 53 10.6213187 0.6207606 S2 10.6202031 10.6196463 .6190900 * °-6i853452 I0.6I7Q7QC 2 .10.6174252 2 .6168715 2 IO.61631842 IO.6157660 2 10.6152142 2 O.614663O 2 10.614112^ " >.6135624 I IO.613OI31 1 O.6124664 I IO.6H9163 I >■6115688 £ IO.6108219 I IO.6102756 I IO.609730O I IO.6091849 I 0.6086405 I 0.6080966 i°-6375534 10.6070107 10.6064687 10.6059273 76 Degrees >0.6053864 >0.6048462 10.6045065 3962326,,io.6o37674 396771110.603 2289 'ang. Com. 1 , Y 2 *7* LOGARITHMIC Table of i4Degre 9-3836752 9.3867040 9.3872067 9.3877087 9.3882101 9.3887109 9.38921 x 9.3897106 9.3902096 9,9864913 9.9864593 9.9864273 9.3907079 9-39I2°57 9.3917028 9-392I993 9-986363° 9.3926952 9-39319°5 9.3936852 9-394^794 9.3946729 9-3951%89-986l693l 9-395^581 9.3961499 9.3966410 9-397I3l5 9.39762 9.39811099.9859742 9^9859969^9859416 i9-384i8i5 9-384'6873 9-385i924 9.38569699.9867778 9.3862008 9.9867144 9.9866827 9.9866509 9.9866191 9.9865872 9-6865553 19.9365233 9.9863308 9.98629861 9.9862663! 9.9862340! 9.9862017! 9.9861369 9.9861045I 9.9860720 9.9860394 9.9860069 9.3990878 9-3995754 9.4000625 9.4010348 9.4015201 9.4020048 9.4024889 9.4029734 9-4034554 9-4Q39378 9.4044196 9.4049009 9.4058617 9.4003413 9.406820; 9.4082539 ,4987306 9.4101575 9.41063 2( 9.4X20522 94I2524. 9.412996: 9.9869041 9.9868726: 9.9868410! 9.9868094 9.986746: 9.9863952 9.9859089 9.9858762 9.9858434 9.4005489 9.9 858106 9-9857777 9,9857449 9-9857II9 9.9856790 9.9856460 9.9856129 9-9855798 9.9855467 9-9855i'35 9.40538x69.9854803 9.9854471 9.9854138 9-98538o5 9.407.2987 9.985347 9.40777669.9853138 94)852803 9.9852468 9,40920689.9852133 9.4096824 9.9851798 9.985x462 9.985 n 25 9.41x1059 9.9850789 9-4II5793 9-985°452 9.9850114 9.9849776 >-9849438 39677J 4026558 4031873 4037x82 4042486 4047785 4053076 4058363 4063644 4068919 4074189 4079453 4084712 4089965 40952: 41004^4 4I57752 .4162928 9,4168099 .4x73265 4i78425 4x83580 4188729 4x93874 4199013 4204146 4209275 4214398 4219515 4224628 4229735 Tang. Comp. IO.6032289 60 IO.60269II 59 IQ.6021537 58 IO.6016170 57 IO.6010809 56 10.60054 93 55 IO.600OIO454 1 o-599476015^ 10.5989422I52 10.598409051 io.5978763!50 49 48 47 IO-5973442 10.5968127 10.5962818 IO-59575I4 46 IO-59522i6 45 10.5946924 10.5941637 IO-5936356 10.5931081 10,5925811 10.5920547 10.59x5288 *0,5910035 10.5904788 10.5899546 10.589431034 10.588907933 10.5883854 10.5878634 IO-58734I9 10.586821 10.5863007 10.585780927 10.5852617 io-584743< 10.5842248 IO-5837072 10.5831901 10.5826735 10.5821575 6.5816420 10.5811271, 10.5806126 10.5800987 IO-5795854 10.5790725 10.5785602 10.5780485 I0.5775372 0.5770265 10.57651.62 10.5760065 0-5754974 xo.5749887 10.5744806 °-5739729 10.5734658 Io*5729592 x o.572453 IO-57I9475 75 Degrees Tang- 9.4134674 9-4I39381 9.4144082 9.4148778 94^5346 8 9*4i58i52 9.4162832 9.4165506 9.4x72x74 9.4176837 15 Degrees 9.4129962 9.4181495 9.4186148 9-4I90795 9-4I95436 9.4200073 9.4204704 9.4209330 9-42I395° 9.4218566 9-4223176 9-98474c 9.9847059 9.98467x7 9-984^375 9.9846033 9.9845690 9-9845347 9.9845004 9.9844660 9.9844316 9-427354x 9.4278089 9.428263 9.4287169 9,-429I7°I 9.4296228 9.4300750 9.4305267 9-43Q9779 9.43x4286 9-43i8788 9-43 23 285 9-43 27777 9.4332264 9.4336746 9.9849438 9.9849099 9.9848760 9.9848420 9.984808 9-9847740 9-9838755 9.9838404 9-9838°52 9-9837701 9-9837348 9.9836996 9.9836643 9.9836290 9-9835936 9-9835582 9-434I223 9-4345694 9.4350161 9-4354623 9-43 59o8° 9-983 2019 9.4363532 9-436798' 9.4372422 9.4376859^1 9.438129219.983022, 9-4385719|9-9829862 9.439Q142 9.9829501 9-439456o 9.9829140 9-4398973 9-9828778 9.4403381 9.9828416 ic Com)-, 9-43358o5 9.4340800 9-434579I 9.4350776 9-4355757 9-4360733 9-4365704 9.4370670 9-437563 9.-438Q587 9-4385538 9-439°485 9-4395426 9,4400363 9.440529; I'ang. Tang Comp. 9.4280525I10.5719475I60 9-4285575 9.4290621 9.4295661 9.4300697 9-4305727 9-43io753 9-43I5773 9.4320789 9-432579j 9-43 3081 '99 10.5674201 51 : 10.5669196 9.44102:22 9.44x5145 9.4420062 9-4424975 9.4429883 9-4434786 9.443968, 9-4444579 9.4449468 9,-4454352 9-4459232 9.4464107 9.4468978 9-4473843 94478704 9-448356x 9.4488413 94493,26o 9.4498102 94502940 94507774 9.4512602 94517427 9.4522246 9-4527o6i 10.571442559 IO-57c9379 58 I0-570433957 10.5699303 10-5694273 10.5689247 10.5684127 10.56792: 10.5664195149 itO.5659200 48 IO.56542O947 rO.564922445 IO.56 44243I45 IO-5639 267)44 10.563429643 10.562933042 10.562436941 10.56194: 10.55'1446 2 10.5609515 10.5604574 io-559963 10-5594705 IO-5589778 io-5584855 1 °-55 7993 8 10.5575025 10-557° 10.55652x4 10.5560315 IO-555542x IO-555°532 xo.5545648 10.5540768 °-5535893 10.5531022 o-5526i57 10.5 5 21,296 9-453 i87 2 9.4536678 9-454r479 9.4546276 9.455x069 9-4555857 9.456064 9.4565420 9.4570x94 94574964 o-5516439 10.551x587 10.5506740 10.5501898 10.5497060 10.5492220 10-5487398 io;5482573 IO-5477754 10-5472939 10 10.5468128! 9 10.54635 22j 8 10.5458521! 7 IO-5453724j 6 IO-j448931 \-A I°-5444I44| 4- IO-5439359 • 8 1 °-5 4345 80 10.5429806 10.5425036 ~74 rang. gj *73 SINES AND TANGENTS. 16 Degrees j 'g| "7~~De^a 0j9-44°338i 9 19.44077849 2 9.441,2182 9 9.4537.68: 9-454I939 9.4546192 9.455044: 9.4554686 9.4558926 9.4563 9-4567392 9.4571618 ;9 9.9822569 16 9.9822201 >9 9.9821831 .79.9821462 o 9.982109: 99.9820721 39.9820351 29.9819979 7 9.9819608 7 9-98i9236 29.9818863 3 9.981849c 99.9818117 1 9-98i7744 8 9-981737° 9.9816995 9.9816620 9.9816245 9.9815870 9,9815494 9-S 9-S iJ12? . 14740 9.9814363 . ... 9-9813986 9.45758409.9813608 9.9813229 9.4580058 9-4584271 9-4'58848o 9.9812850 9,9812471 44 9.4592684 9.9812091 9.4596884 4619.4601079 9-9811721 ..9-98ii33 9.46052709.9810950 9.4609456 9.9810569 9.4613638 9.9810187 9.4617816 9.9809805 9.462198919.9809423 9.4626158 9.9809040 9.4630323I9.9808657 9.4634483!9-98o8273 946386399.9807889 9.46427909.9807505 9.4676938 9.9807120 9.4651081I9.9806735 9-46552i9l9-98o6349 9-4659353i9-98o5963 g Comp | Tang. Comp. | 9.4574964 10.5425036 60I 9.4603492 1 9.4608232 i 9.4612967 1 9.4617697 I 9.4622423 1 9-4674127 1 9.4678802 1 9-4683473 ! 9.4688139 I 9.4692801 94697459 I 9.4702112 X 9.4706762 I 947114O7 I 9.4716048 l 94743808 9.4748421 9-4753o29 9-4757633 94762233 9.4766829 9.4771421 94776209 94780592 9-47$ 517 2 10.5256192 10.525x579 10.5246971 10.5242367 10.5237767 94789748 9-4794319 94798887 9-480345: 9.48080: 10.5 233171 10.5228579 10.5223991 10.5219408 0.5214828 9.4812566 9.4817118 9.4821666 9.4826210 9.4830750 9.4835286 9.4839818 94844346 0.4848870 0.48^3390 10.5210252 0.5205681 0.5201113 io-5196549 >.5191989 10.5187434 10.5182882 °-5i78334 P-5173 79° ■0.5169250 10.5164714 0.5160182 IO-5I55654 '5I5I I3° 10.51466 IQ | Sine Comp. 094659353,9-9805963 9.4663483 9.4667609 9.4671730 9.4675848 94679960 9.4684069 9.4688173 94692273 9.4696369 9.470046: 94745192 94749234 9 9797369 9475327 94757304 9476*334 9.4704548 9470863 9.47x2710 94716785 9.47208 0 9.4724922 94728985 94733Q43 9-9737097 9476535: 94769380 9-47.73396 9.4777409 9.478.1418 9.9801690 9.9801299 9.9800908 9.9800516 9.9800124 9.9799732 9-9799339 9.9798946 9-9798552 9.4741146 9.9798158 9-9797764 9-9796793 9.9796578 9-9796182 94785423 94789423 94793420 34 94797412 359480140 9-979578. 9-9795.388 9-979499 9-9799593 9-9794*95 9-9793796 9-9793398 9.9792998 99792599 9.9792198 9-9.791798 9.4805385 .... .. 948093669-979*397 .. 94813342 39948173*5 9.4821283 94825248 9.4829208 9.4833165 948371*7 9.4841066 69.4845010 7 94848951 8 9.4852888 9 9.4856820 0 9.4863749 i 9.4864674 29.4868595 3 94872512 9-9784927 9.9790996 9-9790594 9-9790191 9-9789789 9.9789386 9-9788983 9978857,9 99788175 99787770 99787365 99786960 99786554 9.9786148 9978574: 99785334 4 9.4876426 59.4880335 69.4884240 7 9488.8142 8 9:4892040 994895934 o 9.4899824 e Ci mp. 997845*9 9-6784* 9.9783702 99783293 99782883 99782474 9.9782063 | Tang. Comp. | 9.4853390 10.5146610160 4857907 4862419 4866928 487*433 9875933 4880430 4884924 4889413 4893898 4898380 4902858 4907332 4911802 4916269 4920731 4925190 4929646 >4934097 ^•4938545 0.4942988 4947429 4251865 4956298 4960727 4965152 969574 497399* 4978406) 982816 987223 991626 996026 j.5000422 9,5004814 5009203 10.5 x 43093 10.5137581 *0-5*33072 10.5128567 10. 5124067 55 10.5119570 54 10.511507653 10.5110587 10.5106102 10.5101-620 10.5097142 10.5092668 10.5088198 *0-5083731 10.5079269 10.5074810 *0.5070354 10.5065903 10.5061455 ^0570 10.5052571 39 10.504813538 IO-5°437o2 10.5039273 5034848 35 10.5030426(34 10.5026009 10.5021594 10.5017184 10.5012777 0-5008374 *0.5003974 *0.4999578 10.4995136 10.4990797 25 , 013588 0*7969 022347 02672: 03*°94 °35459 039822 044182 048538 052891 10.4986412 10.498203 10.4977653 10.4973279 0.4968908 *0.4964541 .4960178 10.495 5818 17 10.4951462] 10.4947 * °9 557240 061586 065928 070267 074602 o78933|I! 083261 1 087586 x 091907 1 096224 £ IO.4942760 IO.4938414 *0.4934072 *0.4929733 :°-4925398 18 ’ 16 -A? *00539 104849 *09156 13460 **776o 4 0 IO.4899461 *0.4895*51 IO.4890844 IO.4886540 IO.4882240 u!Kl 74 LOGARITHMIC Table of .1£ 18 Degrees o j.48998249.9782062 1:9.4903710:9.9781653 2!9-4907J93'9-978x24i 3 9.4911471 9.9780830 4 9-49i534.?!9-978o4i8 5^9.49192169.9780006 619.492508319.9779593 719.4926946:9.9779180 8:9.4930806.9.9778766 99.49346619.9778353 109.4938513I9.9777938 tip. | J Tang. [ Tanpr. O 9.5ii776ojio.488224c 60 29 9.5010987 9.5014764 I|9.494336i|9.9777523 29.4946205:9.9777108 ~ 9.49500469.9776693 9.4953883j9.9776277 9-4957 71(Xj9-97 75860 9.496i5459.9775444 9.4965370 9.9775026 9.49691929-9774609 9.4973OXO Q.Q7'74IQI 9-5: 9.9774191 9 949768249.9773772 9.49806359.9773354 9.49844429.9772934 9-97725x5 9.9772095 9.9771674 9.4988245 9.4992045 9.4995840 94999633 9.500342: 22837^ 10.4771621 . „ ... _ . . 32589104767411 9.50072069.9770410 9.5236795 10.4763205 .524099910.4759001 245x99 10475480 018538 9.5022308 9.5026075 9.5029838 9.5033597 9.5037353 9.5041105 9.5044853 399-5048598 164838 169097 173353 177606 181855 186101 190344 i94583 198819 2030^2 10.4877943 1048 73649 10.4869359 10.4865073 10.4860790 10.4856510 10.4852234 10.4847961 10.4843691 10.483Q425 10.483516: 10.4820903 10.4826647 10.4822394 10.4818141; 9-5 207282 211508 215730 219950 224166 0.4813899 :o.48o9556 :o.48o54i7 10.4801181 10.4796948 :°.47927x8 ;o.4788492 10.4784270 10.4780050 104775834 9.977I253 9.9770832 9.9769988 9.9769566 9.9769x43 9.9768720 9.9768296 9.9767872 9.9767447 249395 253589 5257779 5261966 $266150 9.5036077 9.5059811 9-5063542 9.5067268 9.5070992 9.9767022 9.9766597 9.9766171 9.9765745 9.50523399.97653x8 469.50747x2 47 9.5078428 48 9.5082141- 9.5085850 9-5089556 9.5093258 9.5096956 9.5100651 9.5I04343 5^9-5x0803 9.976489 9.9764464 9.9764036 9.9763608 9-9763x79 569.5111716 57 9-5X15397 9.5119074 9.5122749 9.5126419 .9762750 .9762321 .9761891 .9761461 .9761030 1.9760599 1.9760167 '•9759736' >•9759303 >.9758870 -9758437 >.9758004 >•9757570 >•9757X35 >•975670: Sine 5270331 5274508 5278682 5282853 52S70£_ 5291186 5295347 529950.5 530366: 53078: 53x196 5316x07 $ 2 202 CO 5324389 5328$26 5332659 5336789 53409X6 534504' 534916 5353278 5357393 5361505 5365613 53697X 10.4750605 10.4746411 10.4742221 10.4738034 10.4733850 25 10.4729669 24 10.4725492 23 10.4721318 22 10.4717x47 21 0.4712979 2 : 0.4708814 10.4704653 10.4700495 10.4696339 0.4692187 15 10.4688039 1 10.4683893 1 10.46797 50 i 10.4673611 i 10.4671474^ 10.4667341 10.4663211 10.4659084 10.4654960 10.4650839 10.4646722 10.4642607 10.4638495 10.4634387 0.4630281 71 Degrees Tar.g-.Comp-l Tang. 19 Degrees. o 9.5126419:9.9756710 19.51300869.9756265 _J | Tang. | Tang. Com ;9-53^97x8 10.4630282 [60 59 89.51556609-9753208 o 9-9752769 6 9-97 5 23 3° 9 9'5X5930o9 09.5162936 9 i 9.5166569 29.5170198 89-5x73824 9.975189: 9-975I45 9.9751011 4 9-5T774479-9759570 5 9.5181066 9.9750129 69.51846829 7 9-5188295 9 89.5x919049 9 9-5X95510 9 09.51991129 0 9-5291614 7 9-5295128 6 9-529863: 99-5302146 29-5305650 1 9-5509x51 29.53x2649 3 9.53x6143 4 9-53X9635 5 9^323123 6 9.5326608 7 9-5330090 S9-5333569 |9 9.5337044 )229-53405X7 89.97430x8 i 9-9742570 09.9742122 69-974x673 9 9-974I224 9-97385I9 9.9738067 9-97376ij 9.9737162 9.9736709 9-9736255 9-97358oi 9-9735346 99734891 9973443 9-973398o 9-973352.3 9-9733o67 9.9732610 9-9732 ip3 9.973169, 9-9731236 9-9730777 9.9730318 9-9739858 9-5373821 9-53 7 7*9 20 9.5382017 9.5386110 9.5390200 394287 39837 402453 406531 410606 10.4626129: 10.4621080 10.461798.3 10.4613890 10.4609800 414678 418747 422813 5426877 430937 10.4605713 10.4601629 xo.4597547 xo.4593469 10.4589394 10.4585322 10.4581253 i°-4577i87 10.4573x23 0.456906: 5434S94 5439048 5443100 5447148 545XX93 5455236 459276 5463312 5467346 W1377 10.4565006 10.4560952 10.4556900 10.4552852 1045488: 10.4544764 10.4540724 10.4536688 10.4532654 10.4528623 5475405 547943° 5483452 548747 549X487 5495500 54995II 55035X9 5507523 55x1525 55X5524 55I952I 55235X4 5527504 S531492 553547' 5539459 5543438 5547415 *55X388 5555359 5559327 5563292 5567255 557X2X4 5575X7X 5579X25 5583077 5587025 559097 55949X4 5598854 5602792 5606727 5610659 70 Degre ang Comp. IO.4524595 XO.452057C 10.4516548 IO.4512529 0-45085X3 0.4504500 10.4500489 IO.449648: IO.4492477 O.4488475 I0.448447> 0.4480479 IO.447648:' IC.4472496 IO.4468508 IO.4464523 IO.4460541 IO.4456562 IO.4452585 .4448612 10.4444641 IO.4440673 IO.4436708 10.4432 745 IO.4428786 IO.4424829 10.4420875 10.4416923 IO.4412975 O.4409029 0.4405086 IO.44OH46 104397208 X 0.4393 273 0438934 SINES AND TANG E N T S. 9-5446630 9.5450005 9-5453-376 9-5456745 9.54601 6.5463472 p.5466832 9-547°i89 9-5473542 9.5476893 9.5480240 9-5483585 9.548692' 9.5490266 9.5493602 9-5496935 9.5500265 9-55°3592 9.5506916 9 55-io237 9-55I3556 9.55168 ; 9.5520184' 9-5523494 9.5526801 9-553OI°5 9-5533406^ 9-55367049- .. 9-5539999 6° 9-5543292 Sine Comp. 20 Degrees. eConi|> | Tang. j- fang. Comp, j 9.5610659 xo.438934i'6o 9.5614588 : 9.5618515 9.5622439 9.5626360 9-5630278 9-5634I94 9.5638107 9.5642018 9-5 645925 9-564983 9.9727092 9.9726629 9.9726166 9-97257°3 9-9725239 9.9724775 9.97243x0 9.9723845 9.9723380 9.9722914 9-9722448 9.972197 9.9721514 9.9721047 9.9720579 9.9717762 9.9717291 9.9716820 9.9716348 9-97I5876 9.9715404 9-97I4931 9-971445 7 9.9713984 9-97^3509 9-9703454 9.9702970 .9702486 9-9702002 9.970x517 Sine. 5653733 1 5657633 1 566153c I 5665424 I 5669316 1 ?-5673205 1 9.5677091 i 9.5680975 i 9.5684856 1 9.5688735 i 9-9713035 9.9712560 9.9712084 9.9711608 9;97XII32 9.9710655 9.9710178 9.9709701 9.9709223 9.9708744 9.9708265 9.9707786 9.9707305 9.9706826 9.9706346 9.9705865 9-97 05383 9.9704902 9.9704419 9-9703937 9.569261 9.5696484 1 9-5700355 1 9-5 704223 1 9.5708088 1 9.57x1951 9.57-15811 i 9.5719669 1 9-5723524 1 >-5727377 9.5731227 9-5735074 1 9.57389x9 x 9.5742761 9.5-746601 x K5750438 1 9.57542721 9.57581041 9-57619341 9-5765761 9-5769595 9-5773407 9.5777226 9.5781043 >5784858 0.42304x5 0-4226593 10.422277417 10.4218957 10.4215142 5788669 792479 5796286 5800090 5803892 5807691 5811488 5815282 5819074 5822864 [9.5826651 ’9-5830435 i'9-5834217 l9-5837997 9-584I774 io.42Ti33i 10.4207521 Io-42037I4 10.4199910 ^04196108 £0 10.4192309 10.4188512 10.4184718 10.4180926 54177x36. IO-4I73349 10.4x69565 10.4165783 10.4162003 - 10.4158226 o 69 Degre Tang Comp. Tang. 9-5543292 9-97Q15I7 9-5582579 „ 9-5585835 49.5589088 9-5592338 21 Degrees 9.5566259 9.9698 9.55695299.9697624 9-5572796|9-9697i36 9.5576060; 9.9696047 9-55793^9^9696158 9-5595585 9.5598829 9.560207 9.5605310 9.5638546 9.56x1779 9.5615010 9.561823. 9.5621462 9.5624685 9.9691241 9.9690746 9.9690252 9-9689757 9.9689262 9.9688766 9.9688270 9.9687773 9.9687276 9.5627904 9.5631121 9-5634335 9-5637546 _ . . 9.56407549.9686779 9.5643960 9.5647163 9-5650363 9-5653561 9.5656756 9.5659948 9-5663137 9.5666324 9.5669508 9.5672689 9.567.5868 9.5679044 9.56822x7 9-5685387 9.5691721 47 9-56^883 4819-5698043 49I9-57°i2oo 50 9-5704355 9.9695668 9.9695177 9.9694687 9.9694x96 9.9693704 9.9693212 9.9692720 9.9692227 9.9691734 9.9685281 9.9685783 9.9685284 9.9684785 9.9684286 51 9-5707j'o6 5 065 6 9 9675728 53‘9-57I38o2;9.967522i 549.57169469.9674713 720087 9.9674205 56 9-5723226 9-9673697 579-5726362:9.9673i88 58 9-5729495 9-967 2679 59 9-5732626 9.9672169 60 9-5735754 9-967X6591 Sine Camp. | Sine Tang. 9-5841774 9.5883163 9.5886912 9.5890657 9.5894401 9.5898142 9.5901881 9.5905617 9-5909351 9.5913082 9.59x6812 9-5845549 9.5849321 9.5853091 9.5856859 9.5860624 9.5864386 9.5868147 9.587x904 9.5875660 9.5879413 IO.4154451 IO.4150679 : 0.4146909 IO-4I43I4I °-4I39376 10.411683749 10,411308848’ 10.41093 43 !47' io.4ioi599;46 io.4iox858i45 9.5920539 9.5924263 9.5927985 9-593I705 9-5935423 9-5939i38 9-5942851 9.5946501 9.5950269 9-5953975 9-5957679 9.5961380 9-5965079 9-5968776 9.5972473 9.5976162 9-5979852 9.5983540 9-5987225 2^5 990908 9-5994588 9.599*267 9,6001943 9.6005617 9.6009289 9.00129^58 9.6016625 9.6020290 9-6323953 9.6027613 9.6031271 9.6034927 9.6038581 9.6042233 9.6045882 9.6049529 9.6053174 9.6056817 9.6060457 9,6064096 Tang.Co mp- I'ang. Comp. IO.4158226 59 58 57 56 55 :c.4i356i454 ;o-4I3I853j53 [0.4128096 52 [o.4i2434o,5i' [0.4120587150 ).4098xi9'44 [0.409438343 io.409o649,42 io.4o869i8'4i 10.408318840 10.407 9461'39 IO-4°75737j38 io.4072oi5j37' 10.4068295136 10.40645 7 7I3 5 10.466086234 IO-4°57I49 33 !0-4°53439 3 2 to.4049731 31 10.404602; 10.404232I 10.4038620 10.4034921 .4031224 : 0.-4027 530 10.4023838 10.4020148 10.4016460 10.4012775 10.400909: 10.400541: [0.4001733 10.3998057 10-3994383 [0.39907 ;0-39'*7°42 IO-3983375 I0-3979710 10.3976047 IO-3972387 16.3968729 9 IO-39^5°73 co.396.1419 , [o-395776/ 6 IO-3954118 0-395°471 .0.3946826 x 0.3943183 io-3939543 10-3935904 176 LOGARITHMIC Table of xi 9.5769991 i2 9-5773°88 139.5776183 M 9*5779275 15 9-5782.^4 16 9-578545° 7 9-5788535 :8 9.5791616 9-5735754 9.573888° 9.5742003 9-5745i23 9.5748240 9-575*356 9.9671659 9-5754468 9-5757578 9.5760685 9-5763790 9.5766892 9.9671148 9.9670637 9.9670125 9.9669614 9.9669101 a o.c7946qc 9.9661884 ^4^77^.966.361 51 9.5891897 529.5894893 53 9-5897888 549.5900880 55l9-5903869 22 Degrt Sine Comp. I 9.9668588 9.9668075 9.9667562 9.9667048 9.9666533 0.9666018 9.9665503 9.9664986 9.9664471 9-9663954 9-9663437 9.9662929 9.9662402 9.5800845 9,9660846 9.5803917 9.9660326 23 9.5806986 9.9659806 24 9.5810052 9.9659285 25 9.5813116 9.9658764 ^69.58161779.9658243 27 9.5819236 28 9.5822292 29 9-5825345 30 9.5828397 31 9-583I445 32 9-583449 33 9-5837535 349.5840576 35 9-58436*5 36 9.5846651 37 9-5849685 38 9-585271^ 39 9-5855745 40 9.585877 41 9.5861795 42 9.5864816 43 9-5867835 449.5870851 45 9i5873865 46 9.5876876 47 9-5879885 48 9.5882892 ■ 49 9.5885896 ~ ^09.5888897 56 9.59068 56; 57 9-59°984i 589.5912823 59 9-59i58°3 6019.5918780 otpp 9-965037 9.9649843 9.9649314 9.9648785 9.9648256 9.9647726 9.9647195 9.9646665 9.9646133 ).96456o 7 9.9645069 9-9644537 9.9644004 9-9643470 9.9642937 9.6074997 9.6078627 9.6082254 9.608588 9.6089503 9.6093124 9.6096742 9.6100359 9.6103973 9.6107586 9.6111196 9.6114804 9.6118409 9.6122013 9.6125615 9.6129214 9.6132812 9.6136407 9.6140000 9-6i4359 9.6147180 9.6150766 9-6i5435i Tanp. I Tang-. Comp. 9.6064096 1.6067732 IO.3932268 59 .6071366 IO.3928634 58 [0-3925003 57 IO-392I373 56 io-39i7746 10.3914120 10.3910497 10.3906876 i°-3903258 10.3899641 10.3896027 i°-38924i4 48 10.3888804 10.3885196 °-388i59i .0.3877987 io-3874385 10.3870786 10.3867188 )-3863593 9-61.5.793 4 9.6161514 9.6165093 9.6168669 9.6172243 10.3860000 10.3856409 10.3852820 10.3849234 10.3845649 9.6175815 9^i79385 9.6182953 9.6186519 9.6190085 9-619364. 9.6197205 9.620076 9.6204318 9.6207872 9IS211423 9.6214974: 9.62i852< 9.6222066 9^225609 9.622915 9.623269c 9.6236227 9.6239763 9.6243296 9.624682' 9.625035: 9.6253884 9.625740. 9.626093: 9.6264454 9.6267973 9.627149 9.6275006, •n.Coi 67 Degrees °-393 5904 6c 0.3842066 10.3838486 IO-38349°7 10.3831331 10.3827757 10.3824185 10.3820615 10.3817047: 10.3813481 10.3809917 10.3806355 10.3802795 i°-3799238 10.3795682 10.3792128 ■°-3788577 io-3785°26 10.3781480 17 io-3777934 1 io.377439i i 10.3770830 1 '0.3767310 1 [o.3763773 10.3760237 10-3756704 *o.3753i73 , 10.3749644 8 :0,3746m 0.374259 10.3739068 ' o-3 735546 10.3732027 10.3728509 I i°-3724994 9.6278519 10.372148 Tang. 23 Degrees 0(9.5918780:9.9640261 9^639724 9.9639187 9.9638650 9.9638112 9-9637574 | Sine Comp. | j Tang. [ Tang. Comp. 9-59365949-9637036 9-9636496 „ 9-9635957 9.59454699.9635417 9-9634877 9-9634336 9-9633795 9-9633253 9.9632711 9.9632168 9.9631625 9.9631082 9.9630538 9.9629994 9.9629449 9.5980754 9.5983679 9.5986602 9-598952; 9.599244 9.9628904 9.9628358 9.9627812 9.9627266 9.9626719 9-5995357 9.599827 9.6001181 9.600409c 9.6006997 9.6009901 9.6012803 _ 9-6015703 349.601860c 9.6021495 9.6024388 9.6027278 9.6030166 399-6033052 40 9.6035936 41 42 43 44 45 46 47 48 49 9.6038817 9.6041696 '9.6044573 9.6047448 9-60503 9-605319' 9.605605 9.6058923 9.6061786 9.6064647 9.6067506 9.6070362 9.6073216 9.6076068 5 -3517569 io.35i4I69 Tang >77 SINES and TANGENTS. 24 Degrees 9.609313 ^ 9-9607302 9.6485831 10.3514169 60 t 9.6095969 l 9.6098803 39.6101635 49.6104465 59.6107293 5 9.6110118 7 9.6112941 i 9.6115762 j 9.6118580 39.6121397 [ 9.61242: 2 9.6127023 39.6129833 49.6132641 59.6135446 9.96o39i9 9.9603354 9.9602788 9.9602222 9.960165 9.9601088 9.9600520 9-9S999S2 9-9599384 9-95988i5 16 9.6138250 9.9598246 79.614105 ^ 9.6143850 79.6146647 39.614944: 9.9597676 9.9597106 9-9596535 9.959^964 1 9.618004s 2 9.6182809 39.6185576 4 9.6188341 59.6191103 [ 9.6235016 19.6237743 3 9.6240467 49.6243190 ; 9-62459 609.6 9.9606739 9.9606176 9.9605612 9.9605048 9.9604484 1938649.9586767 196622 9.9586188 I99378 9,9585609 *202132 9-9585030 204884 9.9584450 9.9583869 9.9583288 9.9582707 9.9582125 9-958i54 9.958096 9.9580378 9-9579794 9.9579210 9.9578626 9^57804: 9-9577456 9.9576870 9.9576284 9-9575697 Tang. 9.6489230 9.6492628 9.6496023 9.6499417 9.6502809 9.6506199 9.6509587 9.6512974 9-6516359 9.6519742 9.6523123 9.6526503 9.6529881 9-6j33257 9-653663 9.6540004 9-6543375 9.6546744 9.6550112 9-65S3477 9.655684: 9.6560204 9.6563564 9.6566923 9.6570280 10.34768774 IO-3473497 4 10.34701194 10.3466743 4 10.3463369 4 IO-3459996 44 10.3456625 I,2-3453256 10.3449888 10.3446523 9-6573636 9.6576989 9.6580341 9.6483692 9.6587041 IO-3443I59 3 IO-34397963 io-3436436 3 IG-3433°77 3 10.3429720 3 9-659G387 9-6593733 9.6597076 9.6600418 9.6603758 9.6607097 9.6610434 9.6613769 9.6617103 9.6620434 9.6623765 9.6627093 9.6630420 9-6633745 9.6637069 9.6640391 9.6643711 9.6647030 9.6650346 9.6653662 9.6656975 9.6660288 9.6663598 9.6666907 9.6^70214 9.6673519 9.6676823 9.6680126 9.6683426 9.6686725 r io.35io77° j IO-35°7372 i io-3503977 i 10.3500583 1 10.3497191 j 1o-34938oi J io.349o4i3 < 10.3487026 i 10-3483641 j .3480258 j 10.3426364 10.342301 j 0.341965932 10.3416308 10.3412960 10.3409613 2 10.3406267 2 0.34029242 0-3399582 2 10.3396242 2 Io-33929°3 2 IO-3389566 2 10.3386231 2 10.3382897 2 o-3379566 2 io-3376235 10.3372907 s °-336958o ’ 10.3366255 ] 10.3362931 10.5359609 1 10.33562891 I0-3352970 1 10.3349654 ] 10^346338 : 10.3343025 o-33397i2 10.3336402 10.3333093 o-3329786 10.3326481 IO-3323I77 10.3319874 io-33i6574 103313275 65 Degrees 9.6302568 . 9-6305243 189.6307917 99.63x05899. 09.6313258 Vat. X. Part I. >•62594831; ^ o -a t n t < e Comp. I 25 Degrees ~i 9.6262191 219.6264897 39.6267601 4:9.6270303 5:9^6273003 9-9572757 9.9572168 9-957I578 9.9570988 9-9570397 9.9569806 69.6275701 9.6278397 9.6281090 99.6283782 9.6286472 9.6289160 9. 9.6291845 9.6294529 9. 9.6297211 9.6299890 9-63I5926 9.63x8591 9-632i255 9.6425016 9.6326576 69.63292,33 179.633x889 9-6334542 9-6337I94 29. , . 30 9-6339844 9-95692i5 9.9568623 9.9568030 9-9567437 9.9566844 .9566250 9-9565656 9.956506 9.9564466 9.9563870 9.9563274 9.9562678 9.956208 9.9561483 9.9560886 9.9560287 9-9559689 9.9559089 9.9558490 9-9557890 9.634249: 9-6345i37 9.6347780 9.6350422 9-6353°62 9.9557289 9.9556688 9.9556087 9-9555485 9.9554882 9-6355699 9-6358335 9.6360969 9.6363601 9.6366231 9.6368859 9.6371484 9.6374108 9.6376731 9-637935 9.6381969 9.6384585 9.6387199 9.6389812 9.6392422 9.63950309. 9.6397637 9.6400241 9.6402844 9.6405445 9.9554280 9-9553676 9-9553°73 9.9552469 9-955i864 9-9551259 9-955o653 9.9550047 9-954944 9-9548834 9.9548227 9.9547619 9.9547011 9.9546402 9-9545793 9-9545 ^4 9-9544574 9-9543963 9-9543352 9.9542741 >•9542129 9-954I5I7 9.9540904 9-954029X 9-9539677 9.6706486 9.6709774 9.6713060 9.6716345 9.67x9628 9.6722910 9.6726190 9.6729468 9-6732745 9.6736020 Tang | Tang. Com) 9.6686725 9.6690023 9.6693319 9.66966x3 9.6699906 9.6703197 xo.3293514 10.3290226 10.3286940 10.3283655 [^3280372 IO-3277G90 49 i°-32738io48 X0-3270532 47 10.3267255 46 1.326398045 10.3260706 44 IO-3257434 43 0.325416442 :o-325o895 41 10.3247628 4° 9.6771944 9.6775201 9.6778456 9.678x709 9.6784961 9.6788211 9.6791460 9.6794708 9-6797953 9.6801188 10.324436239 10.324109738 IO-3237835 37 IO-3234574 36 10.323131435 9.6804440 9.6807682 9.681092: 9.6814160 9.6817396 9.6820632 9.6823865 9.6827098 9.6830328 9-6833557 9.6836785 9.6840011 9.6843236 9.6846459 9.684968 9.685290 9.6856120 9-6859338 9.6862553 9.6865768 9.686898 9.6872192 9.6875402 9.6878611 9.6881818 Tang. Com. IO-33I3275 IO-33°9977 10.3306681 IO-33°3387 10.3300094 10.3296803 55 54 53 52 5i 50 10.322805634 10.322479933 10.322154432 10.3218291 31 10.321503930 10.321178929 10.3208540 10.3205292 27 10.3202047 26 ,3198802 25 IO-3I9556o24 10.3192318 23 10.3189079 10.3185840 [ 0.318 2604 1°-3179368 *9 IG-3x76i35l8 10.3172902 10.3169672 103166443 15 10-3163215 x4 1°-31599^9 *3 10.3156764 12 IO-3I5354I 1 ^31503191 10.3147099 10.3143880 10.3140662 IO-3I37447 10.3134232 I0.2I3I0IQ IO.3127808 10.2124598 IO.312I389 IO.3I18182 64 Degree* Tang. *78 LOGARITHMIC Table OF 26 Degrees |Sine Comp. ^ ran^. | Pang. Comp. o 9.6418420 9.9536602 9.688x818 10-3118x8260 1:9.6421009 2^9-6423596 3 9.6426182 49.6428765 5 9^4313 47 6,9.6433926, 7 9-6436504 9. 89.6439080 99.6441654 109.6444226 9-9535985 9-9535369 9-9534751 9-9534I34 9-9533515 9.9532897 '.9532278 9-953i658 9-953io38 9-953°4i8 1 9-6472395 2 9-6474945 3 9-6477492 49.6480038 5 9.6482582 69.6485124 7 9.6487665 8 9.6490203 99.6492740 09.6495274 9.9523562 9.9522936 9.9522310 9.9521683 9.9521055 9.9520428 9.9519799 9-95I9I7 9-95i854i 9-95i7912 9.9517282 9.9516651 9.9516020 9-9515389 9-95147 57 1 9.9507775 ,, 4 9-9507I38 8 9.6540586 9.9506500 " "6 9.9505861 49.9505223 I 9.9504583 5 9-9503944 89.9503303 54 9-6555559 9-9502663 9.6558048 9.9502022 69.6560536.9 7 9-6563021 9 8 9-6565505 9 9 9-6567987 9 09.65704689 9.6885023 9.6888227 9.6891430 9.6894631 9.6897831 9.6901030 9.6904226 9.6907422 9.6910616 9.6913809 9.6917000 9.6920189 9.6923378 9.6926565 9.6929750 9.6932934 9.6936117 9.6939298 9.6942478 9.6945656 9.6948833 9.6952099 ,9.6955183 9-6958355 9.6961527 10.3114977 10.3111773 10.3108570 10.3105369 10.3102169 1^309897054 IO-3095774 53 10.3092578 10.3089384 10.3086101 9.6964697 9.6967865 9.6971032 9.6974198 9-6977363 10.3083000 10.3079811 10.3076622 IO-3o73435 4-6 10.307025045 '.3067066^ 10.3063883^ 10.3060702 4 10-3057522^ 10.30 54344 4 10.3051167 : IO.3047991 10.3044817 3 10.30416453 103038473c 10-3035303 10.3032135 10.3028968 10.302580231 10.3022637 9.70x2080 9.7015227 9.70x8374 9.7021 519 9.7024663 9.7027805 9.7030946 9.7034086 9.7037225 9.7040362 9-7043497 9.7046632: 9.7049765 9.7052897 610.3019474: 7 IO.3O16313 2 7 10.3013153 2 5 10.3009994 2 4 10.3006836 2 2 10.3003680 2 4 10.3000526 2 8 10.2997372 2 0 10.2994220 2 010.2991070 2 .2987920 x 10.2984773 1 10.2981636 x 0.2978481 x £02975337 x 0.2972195 x 0.2969054 X 10.2965914 1 10.2962775 ] 10.29 49638 X 10.2956503 10.2953368 10.2950235 10.2947103 63 Degrees 9.705602710.2943973 5 9.7059156,10.2940844 9.7062284] 10.2937716 9.706541010.2934590 9-7°68535,io.293i465 9.7071659 10.2928341 Tang.Comj. Tang. 9.6570468 9.9498809 9.65739469. 9-6575423 9.6577898 9.6580371, 9.65828429. 49. 9.6585312, 9.65877809. 89.6590246 9. 9.65927101 9-6595473 9-65976349. 9.6600093 9.6602550 9.6605005 9.6607459 9.660991 9.6612361 9.66148x0 9.66x7257 9.6619702 9.6622145 9.6624586 9. 9.6627026 9.6629464 9.6631900 569. 609. | Si ,e C imp. 27 Degrees .9498165 9-9497521 9.9496876 9.9496230 9495585 9.9494938 .9494292 '•9493645 9.9492997 9.9492349 .9491700 9.949105 9.9490402 9.9489752 9.9489x01 9.9488450 9.9487799 9.9487147 9.9486495 9.9485842 9-6634335 9.6636768 9.6639199 9.6641628 9.6644056 9.9485189 9-9484535 9.9483881 9.9483227 9.9482572 9.664648 9.6648906 9.6651329 9.6653749 9.6656168 9.6658586 9.6661001 9.6663415 9.6665828 9.6668238 9.6670647 9.6673054 9.6675459 9.6677863 9.668026 5 9.6682665 9.6685064 9.6687461 9.6689856 9.6692250 9.6694642 9.6697032 9.6699420 9. 9.6701807 9.6704x92 ,1.67065769. 9.67089 58 9.67x1338 9.6713716 ■67x6093 Sine Comp. 9.9481916 9.9481260 9.9480604 9.9479947 9.9479289 9.9478631 9-9477973 9-9477314 9.9476655 9-9475995 9-9475335 9.9474674 9.9474013 9-9473352 9.9472689 9.9472027 9.9471364 9.9470700 9.9470036 9.946937 9.9468707 9.9468042 9.9467376 9.9466710 9.9466043 9.9465376 9.9464708 9.9464040 9.9463371 9.9462702 ,1.9462032 9.9461362 9.9460692' 69.9460021 9.9469349 9.7071659 9.7074781 9.707790a 9.7081022 9.7084141 9.7087258 9.7090374 9.7093488 9.7096601 9.7099713 9.7102824 9-7105933 9.7109041 9.7112148 9.7115254 9.712146 9.7124562 9.7x27662 9.7x30761 9-7*33859 9.7136956 9.714005 9-7 *73 *45 9.7146237 9-7 *49339 Tang. IO.2928341 60 IO.2925219 59 io.2922098'58 10.29x8978157 10.291585956 xo.29i2752|55 10.2909626154 10.2906512I53 *0.2903399152 10.2900287151 >.2897176150 10.2894067149 10.2890959I48 10.2887852147 10.2884746I46 10.2881642I45 9.71524*9 9-7*55508 9-7I58595 9.7161682 9.7164767 9.716785 9.7170933 9.7174014 9.7177094 9.7180173 9.7x83 251 9.7x86327 9.7189402 9.7x92476 9-7*95549 9.7198620 9.7201690 9.7204759 9.7207827 9.7210893 9.7213958 9.7217022 9.7220085 9.7223147 9.7226207 9.7229266 9.72323241' 9-723538 9.7238436 9.724x490 9.7244543 9-7247595 9.7250646 9-7 253695 9.7256744 62 Degre Tang. Comp. 10.2878539:44 IO.287543843 xo.2872338l42 10.2869239I41 10.2866141I40 10.2863044 39 0.2859949 38 10.285685537 •2853763 36 10.2850671 35 34 10.2847581 10.2844492 10.2841405 10.2838318 31 10.283523330 10.2832149 10.2829067, 10.2825986 10.2822906 10.2819827 0.2816749 10.2813673 10.2810598 10.2807524 10.2804451 0.2801380 10.2798310 10.279524 10.2792173 10.2789107 10.2786042 0.2782978 *0-27799*5 10.2776853 10.2773793 10.2770734 10.2767676 10.2754619 10.276x564 10.2758510 10.275545' 10.2752405 0.2749354 10.2746305 10.2743256 Tang. SINES AND TANGENTS. 28 Degrees e Comp. Tan ^9^7i6o93'5M3459349 9^725674410.2743256 60 1 9.67x84689. 29.6720841 39.6723213 49.6725583 59.6727952 13 69.67303x9 9.6732684 9.6735047 9.6737409 9.6739769 9.674212! 9.6744485 _ 9.67468409. 1.9458677 9.9458005 9-9457S32 9.9456659 9-9455985 9-9455310 9.9454636 9-945396° 9.9453285 9.9452609 89.9 ,9451932 9.9451255 . . . 9450577 149.67491949.9449899 9.6751546 9.944922° r7 16 9-6753896 9-944854i 1.9447862 9.9447182 9.9446501 9.9445821 9.6756245 9.9 9.67585929 199.67609379 9-6763281 3 9-9445139 3 9-9444457 2 9-9443775 09.9443092 5 9-9442409 26 9.67773099.9441725 79.67796429.9441041 8 9.67819729.9440356 29 9.678430: 30 9.6786629 9.9439671 9.9438985 9.682365 9.6825952 9.6828250 499.68305489. 9.6832843 9-6835137 9.6837430 9.6839720 54I9.6842010 5519.6844297 5619.6846583 579.6848868 9. 589.685115 599.685443: 6ol9-68557 48 53 19. n Sine Con p. Sine 9.7275008 9.7278048 9.7281087 9.7284124 9^28716_ 9.7290196 9.7293230 9.7296263 9.7299295 9-7302325 9-7305354 9-7308383 9.7311410 9.7314436 9.7317460 19.67889559.9438299 w2 9.67912799.9437612 33 9-6793602 9.9436925 34 9-6795923 9-9436238 35 9-6798243 9-9435549 6 9.68005609.9434801 79.68028779.9434172 8 9.6805191 9.9433482 „9 9-6807504 9.9432792 40 9.68098x619.94321 1 9.68121269.9431411 29.68144349.9430720 43 9.6816741 9.9430028 44 9.68190469.9429335 45 9.6821349 9.9428643 9.9427949 9-9427255 >!9.942656i 1.9425866 ,9.9425171 9.9424476 9.9423779 9.9423083 9.9422386 9.9421688 9.9420990 .9420291 .9419592 29.9418893 10.274020959 o-2737 ^3 58 10.273411957 10.2731075:56 0.27 2803 3'55 10.272499254 101272195253 10.2718913I52 10.2715876151 10.2712839150 747 10.2700705 46 10.2697675 45 10.269464644 10.269161743 10.268859042 10.268556441 10.268254040 10.267951639 10.267649438 10.2673473 10.2670453 10.266743435 9.7365699 9.7368705 9.7371709 9-7374712 9-73777*4 9-73^07 *5 9-73837*4 9.7386713 9.7389710 9.7392707 9.7395702 9.7398696 9.7401689 9.7404681 9-740767 9.7410662 9.7413650 9-7416638 9.7419624 9.7422609 2 9.94x8193 9.7425594 9-7428577 9-743*559 9*743454° 9-7437520 10.2634301 2 10.2631295 2 10.2628291 2 10:2625288 2 10.2622286 2 10.2619285 11 0.2616286 xi '10.2613287 1 10.261029011 0.2607293 1 0.2604298 1. 0.26013041 10.25983111 0.25953191 0.2592328 10 10.2589338 10.2586350 ro.2 C83362 10.2580376 *0-257739* Tang.Comp J 0.2574406 O.2571423 0.2568441 IO.2565460 IO.2562480 *3 *4 *5 169.6891978 9.6894232 9.6896484 9.6898734 9.6900983 6x Degrees 9.6855712 9.9418193 9.6857991 9.6860267 y.6862542 4 9.6864816 9.6867088 9.686935^ 9.6871628 9.6873895 9.6876161 9.6878425 9.6880688 9.6882949 9. 9.6885209 9.6887467 9.6889723 9.690323 9.6905476 9.6907721 9.6909964 9. 9.6912205 Sine Sine Comp. 29 Degrees 9.9417492 9.9416791, 9.9416090 9.9415388 9-94*4685 9.9413982 9.9413279 9-94*2575 9.9411871 9.9411166 9.9410461 _ -9409755 9.9409048 9.9408342 9.9407634 9.9406927 9.9406219 9.9405510 9.9404801 9.9404091 269.6914445 9.6916683 9.6918919 9.69 2 ii 5 5 9-6923388 9.6925620 9.6927851 9.6930080 9.6032308 9-6934534 9.6936758 9.6938981 9.6941203 9.6943423 9.6945642 9.6947859 9.6950074 9.6952288 9-69545o: 9.6956712 9.6958922 9.6961130 9.6963336 9.6965541 9.6967745 9.9403381 9.9402670 9.9401959 1.9401248 9-9400535 9-9399823 9-9399* 9-9398396 9.939768 9.9396968 9.9396253 9-9395537 9.9394821 9-9394*05 9-9393388 9.9392671 9-939*953 9-939*234 9-93905*5 9.9389796 9.6969947 9.9381851 9.6972148 9.9381x26 9-6974347 9-6976545 9.6978741 9.9380400 9-9379674 9-9378947 9.6980936 9.9378220 9.69831299.9377492 9.6985321 9.9376764 9.69875119.9376035 9.6989700^.9375306 Tang. Tang Comp. 7437520 7440499 7443476 7446453 7449428 7452403 7455376 7458349 7461320 7464290 7467259 10.2562480 60I 10.2559501^ 10.255652458 *0-2553547 57 10.2550572 10.2547597 10.2544624 10.254x651 10.253868052 10.2535710 10.253274* 5* £2 10.252977349 io.252680648 10.252384047 10.252087546 10.251791X 10.2514948 10.2511987 10.2509026 42 10.250606641 10.2503108 40 10.250015039 10.2497194 10.2494238 10.249128436 10.248833135 34 7558783 7561718 7564653 7567587 7570520 7573452 7576383 75793*3 7582242 7385*70 7 588096 759x022 7593947 7596871 7599794 7602716 7605637 7608557 7611476 7614394I 10.2485378 10.2482427 10.2479477 10.2476526 10.2473580 3< 10.2441217 10.2438282 *0.2435347 24324*3 10.2429480 10.2426548 10.2423617 10.2420687 10.2417758 10.24x4830 10.2411904 10.2408978 10.2406053 10.2403x29 10.2400206 10.2397284 10.2364363 0.2391443 10.2388524 10.2385606 60 Tang. Comp 1 Tang. Degrees *79 I So LOGARITHMIC Table oe 5’ Sine j Sine Convp. Tanjr. | t ang. Comp. ~o 9.6989700 9.9375306 9.761439410.2385606 60 9.69918879.9374577 9.6994073 9.937384: 9.6996258,9.93761k 9.6998441 G.937 2385 9.70oo622!9.937i6 53 69.7002802 9.7004981 9.7007158 9-7009334 9.7011508 9.7013681 9-7OI58$2 9.7018022 9.7020190 9-70223^7 69. 7024523 9.7026687 9.70288499. 19.703101 9-7Q33I7o 9-7035329 9.7037486 9.7039641 9.7041795 9-7043947 56 9' 30 Degrees. 9-9363574 9.9362836 9.9362298 9.9361360 9.9360621 9.7046099 9.7048248 9-7050397 9-7052543 9.7054689 9-935988 9-9359I4I 9.9358401 9.9357660 9.9356918 9-7056833 9-7058975 9.7061116 9.7063256 9-7065394 9-9356i77 9-9355434 9.9354691 9-9353948 9-9353204 9-706753 9.7069667 9.7071801 9-7673933. 9.7076064; 9.7078194 9.7080323 9.7082450 9.7084575 9.7086699 9.7088822 9.7090943 9.7093063 9.70951&2 9.7097299 9.7099415 9.7101529 9.7103642 9-7105753 9.710' ^ ^ ^7^09972 9.7 n 9.71141869. 9-711 . 9-7118393 Sme Comp. 9-9352459 9-935I715 69.9350969 9.9350223 9-9349477 9*934873' 9-9347983 9-9347235 3 ^9346486 9-9345738 9.9344988 9.9344238 9-9343488 9-9342737 9-9341986 9-9341234 9.9340482 9-9339729 9-9338976 9.9338222 9-9337467 >9-93367i3 9-9335957 9.9335201 -933444, 9-9333688 •933293 >•9332173 ,■9331415 9.9330656 Sine. 9.7761947 I 9.7764816 I 9.7767685 I 9.7770552 I 9’77734i8 i 9.7776284 1 9.7779149 1 9.7782012 1 9.7784875 1 9 7787737 0-2324552 i 0.2321656 j 0.23187605 0.23158653 0.2312971; 0.2310078 34 0.2307186 0.2304295 0.2301404 0.2298515 D.2281199: 5.22783162 3-2275434- 5.2272553 : 5.2269673: 5.2266794 J 5.22639] 6 1 5.2261039 1 5.2258162 1 5.2255287 1 5.225241 5.2249538 1 5.2246666 1 5.22437941 5.22409231 .2238053 .2235184 .2232315 .2229448 !. 2226582 _ .2223716 .2220851 .2217988 .2215125 .22122631^0 59 Degre Tang Comp. Tang. 9-711839^ 9.7120495 9.71225969.9329137 9.7124695 9.7126792 9.71288899.9326854 3 4 5 69.7130983 9.7133077 9.7135169 9.7137260 9-7139349 9-7141437 9.7143524 9.7145609 9.7147693 9-7179776 9.715185 9-7153937 9.7156015 9.7158092 9.-165168 9.7162243 9.71643169.9313835 31 Degrees 9.93306561 9.9329897 9.9328376 9.9327616 9.9318447 9.9317679 9.9316911 9-93i6i43 9-9315374 9.9314605 9.7166387 9.7168458 9.71705261 9.9313065 9.9312294 9-93H522 9.7172594 9.7174660 9.7176725 9.7178789 9.7180851 9.7182912 9.7184971 9.7187030 9.7189086 9.7191142 9.7193196 9.7195249 9.7197300 9-7I99350 9.7201399 9.7203447 9-7205493 3 32 33 34 33 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 52 9.7225881 53j9-72279'i3 549-7229943 559.7231972 9.72075389.929755: 9.7209581 9.7211623 9.7215704 9.7217742 9-7 2.197 79 9.72218 9.9310750 9.9309978 9.9309205 9.9308432 9.9307658 9.9306883 9.9306109 9-9305333 9-9304557 9-93°378 9.9303004 19.9302226 9.9301448 9.9300670 9-929989 9.9299112 9.9298332 9.9296770 9.9295989 9.7 213664 9.9295207 9.9294424 9.9293641 9.9292857 9-9292073 9.72238489.9291289 9.9290504 9.9289718, 9.9288932 9.9288145 56i9-7234°oo 579.7236026 589.723805 599.7240075 609.7242097 jSine Corn 9-9287358 9.9286571 9.9285783 9.9284994 9.9284205 9-7787737 9.7790599 9-7793459 9.7796318 9.7799177 9.7802034 9.7804891 9.7807747 9.7810602 9.7813456 9.7816309 9.7847638 9.7850481 9-7853323 9.7856164 9.7859004 Tang. 10.2212263 IO.22094OI IO.220654I 10.2203682 10.2200823 IO.2197966 9.7819162 9.7822013 9.7824864 9.7827713 9-783056: 9-7833410 9.7836258 9.8839104 9.7841949 9.7844794 .2195109 IO.2192253 IO.2189398 O.2186544 51 9.2183691 50 9.7861844 9.7864682 9.7867520 9-7870357 9-7873193 Tang. Comp. 2152362:39 IO.214951938 IO.2146677137 IO.2143836 10.2140996 9.7876028 9.7878863 9.7881696 9.7884529 9.7887361 9.7890192 9.7893023 9.7895852 9.7898681 9.7901508 IO.2138156 IO.2135318 IO.2132480 IO.2129643 10.2126807 IO.2123972 IO. 2121137 IO.2H8304 10.21I5471 IO.2112639 0.2109808 O.2106977 O.2IO4I48 IO.2IOI319 IO.2098492 O.2095665 IO.2092839 O.209OOI3 IO.2087189 10.208436^ IO.208.l542 IO..2078720 10.2075899 IO.2073079 IO.2070259 IO.2067440 IO.2064622 IO.2061805 IO.2058989 IO.2056173 IO.2053I59 IO.2050545 10.2047732 IO.2044919 10.2042108 1'ang. 58 Degrees. SINES AND TANGENTS. 32 Degrees 9.7244118 9.7246138 3 9.7248156 9.7250174 9-7252I,r 9.7254204 9.7256217 _ . 9.72582299.9277873 9.7260240 9.7262249 9.7264257 9.7266264 9.7268269 9.7270273 9.7272276 9.7274278 9.7276278 9.7278277 9.7280275 9.7282271 9.7284267 9.7286260 9.7288253 9,7290244 9.7292234 9.7294223 9.7296211 9.7298x97 9.7300182 9.7302165 9.7242097 9.927549° 9.9274695 9.9273899 9.9273103 9.9272306 9.7304x48 9.7306129 9.7308109 9-73ioo87 9-73i2o64 3 6 9*7314040 9.7316015 9.73x7989 9.73x996 9-73 219.3 9'73239° 9-732587c 43 9-7327837 9.7329803 9. 9-733!76fe 9-7333731 9- 9-733569. , 9-7337654 9- 49 9-73396i4 9- 50 9-734I572 51 9-7343529 9- 9-7345485 53 9-7347440 9-7349393 9-735I345 569.73532969. 9-7355246 9-7357I95 59 9-7359142 9.7361088 ^ C.-n.p, Co'nip' 9.9284205 9.9283415 9.9282625 9.9281834 9.9281043 9.928025I 9^9279459 9.9278666 9.9277079 O.9276285 9.9263507 9.9262704 9.92619OI 9.9261096 9.9260292 9.9259487 9.925868 9-9257875 9.9257069 9.9246261 9-9255454 9.9254646 9-9253837 9.9253028 9.9252218 9.9251408 9-9250597 9.9249786 4.9248974 9.9248161 . '9247349 9.9246535 •924572 .9244907 9.9244092 .9243277 9.9242461 9.9241644 9.9240827 9.9240010 ,9239x9 9-9238373 9-9237554 9-9236734 9-92359M 8002769 8065567 $008365 801ii6j 8013957 $016752 $019546 $022340 8025133 8027925 7957892 I Tang. Comp 7960703 79635*3 7966322 796913° 7971938 7974745 7977551 7980356 7983162 7985964 7988767 7991569 799437° 7997170 7999970 »0307i6 8033506 $036296 8039085 804*873 $04466: 8047447 80C023Q 8053019 $055803 $058587 1061370 1064152 8066933 8069714 8072494 8075273 8078052 080829 083606 086383 089158 09*933 094707 097480 100253 103025 *05796 108566 336 1*4*05 116873 119641 122408 *25*74 57 Degrees 'Tang.Comp. 10.2042108 60! IO.2039297 10.2036487 IO.2033678 10.2030870 xo. 2028062 10.2025255 10.2022449 10.2019644 10.2016840 10.2014036 10.2011233 IO.2O0843 IO.2OO563O IO.2OO283O IO.2OOOO3O 0.199723 IO.I994433 99*635 IO.I988839 IO.I986043 IO.I983248 O.I980454 IO.I977660 IO.I974867 I0.I972075 O.I969284 IO.I96649433 IO.1963704 IO.I96O915 IO.I958127 *°-*955339 *o-*952553 10.1949767 0.1946981 10.1944197 0.19414x3 10.1938630 10.1935848 10.1933067 10.1930286 ;o.i927 506 19 xo.1924727 18 10.192x948 17 xo.i9i9i7i|i6 10.1916394*5 0.19136x7114 10.1910842 13 10.1908667 10.1905293 £902520 o.*899747 0.1896975 0.1894204 0.1.891434 10.1888664 10.1885895 10^1883127 10.1880359 10.1877592 10.1874826 Tang. 269. 33 -Defa M S.ne. | S.ne Comp. O 9.736x0889.9235914 9.73824x2 9-7384343 9-7386273 9.7388201 9.7390129 9-7392055 9-7393980 9-7395904 9.7397827 9.7399748 9.7401668 9-7403587 9-7405505 9.7407, 9-7409337 9.73630329.9235093 9.73649769.9234272 9.7366918 9.7368859 9.7370799 9-7372737 9-7374675 9.737661 9-7378546 9.7380479 9-9233450 9.9232628 9.9231805 9.9230982 9.9230158 9.9229334 9.9228509 9.9227684 9.9226858 9.9226032 9.9225205 9.92243 9.9223549 9.922272 9.922189 9.9221062 9.9220232 9.921940 741*251 9.7413164 . 7415075 9.7416986 9.7418895 9.7420803 9.7422710 9.7424616 9.7426520 9.7428423 9.7434126 9.7436024 9-743792* 9.74398x7 9.744x712 9.7443606 9-7445498 9.9218570 9.9217738 9.9216906 9.9216073 9.9215240 .9214406 •9213572 .9212737 .9211902 .9211066 .9210229 •9209393 •9208555 .9207717 .9206878 9.7430325 9.9206039 9.74322269.9205200 9.9204360 9.9203519 9.9202678 9.9201836 9.9200994 9.9200151 9.9199308 9.7447390 9.9198464 9.7449280 9-91976*9 9,745 *16919.9.* 96775 9-7453°56 9-9*95929 9-7454943 9-9*95°83 9.74568289.919423 9.7458712 9.7460595 9.7462477 9.7464358 9.7466237 1.7468115 9.7469992 9.7471868 _ 9-7473743 609.7475617 e Comp. 9.8X25I74 I0.1874826|6C 8X83O98 8X85849 $188599 8I9I348 8X94096 8l 27939 *0.l87206l 8l30704JI0.l869296 8133468 10.1866532 8l3623ljlO.X863769 8138993! 10.1861007 8i4*755|*o-*858245. . 8144516110.185548453 8147277110.1852723 8150036 10.1849964 8i52795ixo.i847205 8*55554 81583*1 8161068 8163824 8166580 8*69335 $172089 8174842 8*77595 8*80347 $196844 8199592 $202338 $205084 8207829 8210574 8213317 8216060 8218803 8221545 8224286 8227026 8229766 8232505 1135.244 8237981 8240719 824345. 8246191 8248926 1.1844446 10.1841689 10.1838932 10.1836176 833420 10.1830665 10.1827911 10.1825158 0.1822405 0.18x9653 10.1816902 10.1814x51 10.1811401 10.1808652 10.1805904 io.1803156 10.1800408 10.-797662 10.1794916 io.x792X7i '.1789426 10.1786683 *o.i 783940 10.1781197 >•*778455 10.1775714 *0.1772974 10.1770234 *0-1767495 0.1764756 10.1762019 10.1759281 10.1756545 10.1753809 o-*75*°74 10.1748340 10.1745606 *0.1742873 xo.1740140 x 0.1737408 0.1734677 10.173*947 0.1729217 0.1726487 10.1723759 10.1721031 ’.0.17.1-8304 10-17*5577 10.1712851 10.1710126 Tang. 182 LOGARITHMIC Table op 34 Degrees 019-7470[7 9-9i85742 i|9-7477489 . 2 9-747936o 9- 39.7481230 49.7483099 59.7484967 169.7505434 9.7507287 18 9.7509x40 9-75I°99I 9.7512842 9.7496148 9.91763 36 1.7498007 9.9175478 ,7499866 ,7501723 9-7523579 9.751469 9.75x6538 9.75x8385 9.752023 9.7522075 9.75239x9 9-752576 9.7527602 9.7529442 9-7431 ' 9.9184890 1,9184037 9.9x83183 9.9182329 9.9181475 9.9180620 9.9x79764 9.9178908 9.9178051 9-9I77I94 9.9x74619 9.9x73760 9.9172900 9.9172040 9-9I7II79 9.9x703x7 9.9169455 9.9168593 9.9167730 9.9166866 9.9x66002 9-9165i37 q.qi 64272 2809. 9-75331^ 9-7534954 ... 9-7536790 349.7538624 9-7540457 9.7542288 9-7544ii9 9-7545949 9-754777 9.7549604 9.9x547x5 9.9153846 9-9I52974 9.9152101 9^151228 9-7551431 9-7553256 9.7555080 9.7556902 9-7558724 9.7560544 9.7562364 9.7564182 •99-7565999 9-75678x5 9-9I3°354 9.9149749 9.9148604 9.9147729 9.9146852 9.7569630 9-757r444 9-7573256 549.7575068 9.7576878 9.7578687 9.7580495 9.7582302 9.7584108 9-75859I3 Sine Comp, j ranij. C .inp 9.8 289874IX 0.1710126 6 9.8292599 x< 9.82953231 9.8298047 X 9.83007691 9.8303492 10.16965:08 5 3 iQ.1693787 5 410.1691066 5 410.16883465 4 xo.x685626 5 310.1682907 5 i 10.1680189 49 9 10.1677471 48 610.167475447 310.16720374' 9 10.166932 9.9163406 9.9162539 9.9161673 9.9160805 •9159937 9.834696 9.8349673 10.: 9.8352384 9-8355094 9.8357804 0.16666064 □ 10.1662801 4 10.1661177 4 10.1658464 4 9 10-1655751 4 9.9159069 9.9158200 9-9I5733° 9.9156460 9-9T5 '1589 9-8360513 1 9.8363221 1 9.8365929 i 9.8368636 x 9-837I343 1 9.8374049 1 9-8376755 9.8379460 i' 9.8382164 i 9.8384867 X_ 653°39 3 16503273 16476163 1644906 3 6421963 ).x6394B7 3 >.16367793 >.1634071 3 5-16313643 >.1628657 q 9.838757 9.8390273 9.8392975 9.8395676 9-8398377 012429 2 609727 2 10.1607025 2 1604324 2 10.1601623 2 9.9x45976 9-9145099 9.914422] 9-9I43342 9.9142464 9,9141584 9.9140704 9.9x39824 9-9I38943 9.9138061 9.840x077 9.8403776 9.8406475 9.8409174 9.841x871 9.8414569 9.8417265 9.8419961 9.8422657 9-842535 9.8428046 9-843°739 9-8433432 9.8436125 9.8438817 10.1598923 1 0.1596224 1 °-i593525 1 10.1590826 1 xo.x588x29 I 757^874377 10.15827351 10.1580039 I 10-1577343 1 10.15746491 9-9I37I79 9.9136296 9-913541, 9-9134530 9-9133645 Sine 1 9.8441508 9.8444199 9.8446889 9.8449579 9.8452268 °-l57I954 0.1569261 10.1 $66568 IO.I563875 0-156ll83 O.I558492 IO.I55580I XO.I553III 10.1550421 IQ-1547732 55 Degre Tang. I 111 35 Degrees Sine | Slue Comp. | I Tang. j Tang. Comp 9-7585913 9-9133645 1 9-758771? 9-9^2760 2 9-75895199-9131875 3 9-759i32i 9-9i30989 4 9-7593i2i 9.9I30J02 5 91594920 9^129215 9.75967189.9128328 9-7598515 9-9i2744o 9.7600311 9.9126551 9.7602x06 9.9125662 9.76038999.9124772 9.7605692 9.9123882 9.76074839.912299 9.76092749.9122099 9.761x063 9.9121207 9.7612851 9.9120315 9.7614638 9.9119422 9.7616424 9.9118528 9.76x8208 9.9117634 9.76199929.9116739 9.7621775 9.9115844 9-7623556 9.9114948 9-76253379-911405 9.76271169.9113155 9.7628894 9.9112257 9.7630671 9-9111359 9.7632447 9.7634222 9.7635996 9.7637769 9.9110460 9.910956 9.910866 9.910776. 9.7639540 9.910686: 9.7641311 9.76430809.9105057 9.7644849 9.76466x6 9.7648382 9-9io5959 9.7650147 9.76519x1 9.7653674 9-7655436 9.7657197 9-9A04i55 9-9io325 9.9102348 9-7658957 9.7660715 9.7662473 9.7664229 9.7665985 9.7667739 9.7669492 , 9-7671244 49 9-7672996 9.7674746 9.7676494 9.7678242 9.7679989 9.7681735 9.7683480 9.7685223 9.7686966 9.7688707 9.7690448 9-7692187 Sine Comp. 9-9IOI444 9.9100539 9.9099634 9.9098728 9-909782 9.9096915 9.909600' 9.9095090 9-909419° 9-9°9328 9.9092371 9.909146: 9.9090550 9.9089639 9.9088727 9.9087814 9.908690. 9.908 5988 9.9085073 9.9084159 9.845 2268[ IQ. X 5477 j2|6ol 0.153x61054 10.153892553 I0.152624052 IO-I523556 51 jo. 152087350 10.1518190 49 10.1515508 48 10.151282647 10.1510x45 46 10.150746445 □.150478444 10.1502x0443 xo.1499425 42 0.149674741 0.149406940 8535352 1 8538023 1 8540694 1 8543365 1 85460341 8548704 1 8551372 1 8554041 1 8556708 8559376 io-1437958i T4352921 10.1432626 17 0.1429961 16 J427296 15 0.1424632 1 10.1421969 I 10.14x9306 1 0.1416643 1 xo.i4i398i 10.1411320 10.1408659 10.1405998 10.1403339 10.1400679 10.1398020 '0.1395362 10.1392704 10.1390046 10.1387390 54 Degrees Tang. Comp Tang. SINES AND TANGENTS. 9.769218*’ 9.9079576 36 Degrees 9-7693925 9.7695662 9.7697398 9.7699134 9.7700868 9.7702601 9-77°4332 9.7706063 9.7707793 9.7709522 9.7711249 9.7712976 9-77I4702 , 9.77164269. 9.7718150 9.( 9.7719872 9-772I593 9-77233I4 9-7725°33 9.7726751 21 9.7728468 |9-773o: " 9.7731900 9-77336i4 9-77353n9- 9-7737039 9-7738749 9-7740459 , 9-7742i68 3£ 9-7743876 31 . 9-7745583 329.7747288 33 34 35 9-7748993 9.7750697 9-7752399 5292 9.7754101 9-77558oi 9-77575o: 9-7759I99 9.7760897 9-7762593. 9.77642899. 9.7765983 9.7767676 9.7769369 9.7771060 9.7772750 9-7774439 19.7776128 '•7777815 9-7779501 9.7781186 82870 f9-7784553 9.7786235 .9078658 .9077740 .9076820 .9075901 -9074980 •9074059 .9072216 .9071293 -9070370 .9069446 .9068522 .9067597 .9066671 ■9065745 .9064819 .9063892 .9062964 .9062036 .9061107 .9060177 .9059247 •9058317 .9057386 ■9056454 .9055522 .9054589 •9053656 .9052722 -9051787 .9050852 .9049916 .9048980 .9048043 .9047106 .9046168 ■904523° .9044291 ■9°4335 .904241 9041470 .9040529 •9039587 .9038644 ■903770: 9-903675? 9-90358 J.. 9.9034868 9.9033923 9-9°32977 9.9032031 9.9031084 9.9030136 9.9029188 9.9028239 9.7787916 9.7789596 9.7791275 9-7792953,, ... 9.7794630 9.9023486 9.9027289 9.9026339 9.9025389 9.9024438 9.8612610 $615267 8617923 $620578 8623233 8625887 $62854: 8631195 8633848 $636500 8639152 $641803 8644454 8647105 8649755 8652404 8655053 865770^ $660350 8662997 $665644 $668291 8670937 8673583 8676228 $678873 8681517 868416c Tang. T,ng. Cnmrv 1 O-1387390 60I 0.1384733,59 0.138207758 0.137942257 0.137676756 °-I37411 $j <; °-I37I459 54 0.1368805 53 0.1366152 5 2 0.1363500 51 0.1360848 50 0.1358197 O.I355546 °-i352895 0.1350245 _ °-i347596 4^ $689446 8692089 869473 869737 8700013 8702653 8705293 8707933 8710572 8713210 8715848 8718486 8721123 8723760 8726396 8729032 8731668 873430: 8736937 8739571 8742204 8744838 8747470 8750102 8752734 8755365 8757996 8760627 8763257 8765886 8768515 877*i44 0.1344947 0.1342298 0.1339650 °-* 33 7003 o-*334356 0.1331709 0.1329063 0.1326417 0.1323772 0.1321137 Taag-Comp . 53 Degrees 0.1318483 0.131584033 0.1313196 0.13*0554 *3079* 0.1305269 0.1302628 0.1299987 o-* 297347 0-1294707 0.1292067 0.1289428 0.1286790 0.1284152 0.1281514 0.1278877 0.1276240 0.1273604 0.1270968 0.1268332 0.1265698 0.1263063 0.1260429 0.1257796 0.1255162 0.1252530 0.1249898 0.1247266 0.1244635 0.1242004 °-*239373 0.1236743 0.1234114 o.* 23 * 485 10.1228856 Jang. 9.7813OIO 9.7814675 *3 9-7816339 1419.7818002 59.7819664 9. 9.7821324 9.7822984 9.7824643 19 9.7826301 9.7827958 9.7829614 9.7831268 9.7832922 24 9-7834575 9.7836227 iin'eC mip. [~ 9-7794630 9-9Q23 486 9.7796306 9-779798 9-7799655 9.7801328 9.7003000 9. 9.780467 9.780634: 9.7808010 9.7809677 9.7811344 9.9022534 9.902158: 9.9020628 9.9019674 >.9018719 9.9017764 9.9016808 9.9015852 9-9014895 9-90*3938 9.7837878 , 9-7839528 28 9.7841177 9.7842824 9-784447 , .846117 9.7847762 9.7849406 9.7851049 9.785269 9.9012980 9.9012021 9.9011062 9.9010102 ■9009142 9.9008x81 9.9007219 9.9006257 9.9005294 9.9004331 9.9003367 9.9002403 9.9001438 9.9000472 9.8999506 9-7854332 9-7855972 9.7857611 9-7859249 40 9.7860886 9.7862522 9.7864157 9.7865791 9.7867424 9.7869056 9.7870687 9.7872317 9.7873946 9-7875574 9.7877202 9.787882:8 9.7880453 9.7882077 549.7883701 9-78853 56 5'. 58 9.7886944 9.7888565 9.7890184 9.7891" 9.7893420 Sine Comp. 37 Degrees 9-8998539 9.8997572 9.8996604 9.8995636 9.8994667 9.8993697 9.8992727 9.8991756 9.8990784 9.8989812 9.8988840 9.8987867 9.8986893 9.8985919 9.8984944 9.8969265 9.8968280 9.8967294 <2.8966308 9.8965321 9-877* *44 9.8800031 9.8802654 9.8805277 9.8807900 9.8810522 9.8813144 9.8815765: 9.8818386 9.8821007 9.8823627 9.8826246 9.8828866 9.8831484 9.8834103 9^836721 I f ang. C imp, | 0.1,19996949 IO.II97346 IO.II94723 0.II92100 0.118685644 10.1184235 , 10.1181614. 10.1178993 10.* 176373 9.8839338 9.8841956 9.8844572 9.8847189 9.884980 0-1*7375439 10.117113438 10.116851637 16589736 10.116327935 9.885242c 9*8855°35 9.8857650 9.8860264 9.8862878 9.8865492 9.8868105 9.8870718 9-887333° 9.8875942 9.8878554 9.8881165 98883773 9.8886386 9.8888997$ 9.889160; 9.8894214 9.8896823 9-8899432 9.8902040 9.8904647 9.8907254 9.8909861 9.8912468: 9.8915074 9.8917679 9.8920285 9.8922890 9-8925494 9.8928098 0.122885660 4^ 0.118947845 10.116066234 10.115804433 10.115542832 10.1152811 10.1150195 147580 10.1144965 10.1142350 IO-**39736 10.1137122 134508 10.1131895 10.1129282 10.1126670 124058 0.1121446: 0.1118835 0.1116225 10.111361416 10.111100415 0.1108395 0.1105786 •10.1103177 10.1x00568 0.1097960 *0-*°95353 10.1092746 IQ. IO9OI39 IO.I087532 IO.I084926 Tang.Comp. IO.I08232X IO.IQ79715 10.1077110 O.IO74506 IO.IO71902 52 Degrees .81 LOGARITHMI 38 Degrees. 9-7935135.9-^93943^ 9-79367 27i9-^93°45o 9-79383i7'9-8937452 9-79399°7|9-8936448 9.79414969-8935444 9-7943o83j9- 9-794467°i9- 9.7946256;9- 9-794784i'9- 9-7949425|9: 8934439 '•8933433 1.8932426 1.8931419 1.89304 9.8982700 9.8985296 9.8987892 9.8990487 9.8993082 [ I'aii-v. :• Com 9.892809810.1071902 6: 9.8930702 9-89333°6 9-8935909 9.8938511 9.8941114 9-89437I5 9.8946317 9.8948918 9-89515^ 9.8954119 9.8956719 9-8959319 9.8961918 9.8964517 9-8967 9.8969714 9.8972312 9.8974910 9.8977507 9.8980104 9.8995677 9.8998271 9.9000865 9.9003459 9.9006052 7 3 00 10.1014704 10.1012108 10.1009513 006918 9-9°34555 9.9037144 9-9039733 9.9042321 9.9044910 9.9047497 9.9050085 9.9052672 9-9055259 9.9057845 9.906042 9.9063017 9.9065603 9.9068188] 9 9070773' 10.1069298 10.1066694 10.1064091 10.1061489 10.1058886 0.105628 5 0.1053683 2.1051082 0.104848 0.104588 0.1043281 0.1040681 0.1038082 3-io35483|46 ■ 103288445 10.1030286 44 10.1027688 10.1025090 10.1022493 10.1019896 40 10.1004323 10.1001729 10.0999135 10.0996541 10.0993948 10.0991355 10.0988763 10.0986170 10.0983578 10.0980987 10.0978396 24 10.0975805C3 10.0973214 10.0970624 10.0968034 10.0965445 1.0962856 10.0960267 >.0957679 10.0955090115 10.09C2C02 14 IO.O9499I5 O.O947328 IO.O94474I •0942X55 I0-0939569 0.0936983 10-0934397 10.0931812 10.0929227 9-9073357, 9.9075941 9.9078525! 9.9081109; 9.90836921 51 Degre Tang.Comp- ..0926643 IO.0924C59 IO.O921475 10.0918891 IO.0916308 — 09.7988718^.8905026 9.9083692 io.09t63o8i6o) 9.7990278 9.7991836 9-7993394 9-799495 9-7996507 9.799806 9.7999616 9.80011699. 9.8002721 9.8054272 Table of 39 Degrees.' Comp. •' I ,T«mg- J 1' 9.8904003 9.8902979 9.8901954 9.8900929 9.8899903 9.8005823 9.8007372 9.8008921 9.8010468 9.8012015 9.8013561 9.80151069. 9.8016649 9.8018192 9.801973; 9.80212769.8 9.80228169.8 9-8024355 9.8 9.80258949.8 9.8027431 9.8028968 9-8 9.8030504 9.8 9.8032038 9.8 9.80335729.8 9-8o35io5 9 " 41 9.8051908 429.8053430 43 9-8054951 44 9-8056472 45 9-8o5799r 9.8873019 9.8871977 9.8870934 9.8869890 9.8868846 9X867801 9.8866756 9.8865710 9.8864663 9.8863616 69.80595-- r7 9.8061027 ^8 9.8062544 .9 9.8064060 o 9.8065575 1 9.8067089 2 9.8068602 9.8070114 9.8071626 9.8073136 9.8074646 9.8862568 9.8861519 9.8860470 9.8859420 9.8858370 9.8076*54 9.8077662 9.8079169 9.8080675 Sine Comp. 9-88573I9 9.8856267 9.8855215 9.8854162 9.8853109 9.8852055 9.885IOOO 9.8849945 9.8848889 9.8847832 9.8846775 9.8845717 9.8844659 9.8843599 9.8842540 9.8898877 9.8897850 9.8896822 9.8895794 9.8894765 9.8893736 9.8892706 9.8891675 9.8890644 9.8889612 9X888^80 9.8887547 9.8886513 6.8885479 9.8884444 9.912498 9-9I27559 9-9I3OI37 99132714 99x3529* 9.9137868 9.9x40444 9.9143020 9.9145596 9.9148171 9.9086275 9.9088858 9.9091440 9.9094022 9.9096603 10.0913725 10.0911142 10.0908560 10.0905978 10.0903397 10.0900815 10.0898234 10.0895653 10.0893073 10.0890493 10.0887913 10.0885334 10.0882755 10.0880176 10.0877597 9.9150747 9-9I53322 9.9155896 9.915847 9.9161045 9.9163618 9.9166192 9.9168765 9-9I7I338 9-9X739 9.9176483 9-9X79055 9.9181627 9.9184198 9.9186769 9-9189340 9.9191911 9.9194481 9-9I97°5I 9.9199621 9.92o'2i9i 9.9204760 9.9207329 9.9309898 9.9212466 9.9215034 9.9217602 9.9220170 9.9222737 9.9225304 9.9227871 9-9230437 9.9233004 9-923557° 9-9238x35 Tang Comp. .087 5019 10.0872441 IO.0869863 IO.0867286 IO.0864709 IO.086213239 10.0859556 IO.0856980 IO.0854404 10.0851829 IO.0849253 IO.0846678 IO.0844104 0.0841529 10.0838955 0.0836382 IO.0833808 0.0831235 0.0828662 0.0826089 0.0823517 IO.0820945 IO.0818373 >.0815802 10.08)3231 10.0810660 IO.0808089 10.0805519 0.0802949 10.0800379 IO.0797809 IO.0795240 IO.0792671 .0790102 10.0787534 >.0784966 10.0782398 IO.0779830 10.0777263 ,.0774696 O.0772129 O.0769563 IO.0766996 O.0764430 0.0761865 50 Degrees Tang. table, LOGARITHMIC SINES and TANGE NTS. 40 Degrees 11- jSme Comp. | [ Tang. 9.8o8o675 9.8842540 9.80821809.8841479 9.8083684 9.8085188 9.8086690 9.8088192 9.8089692 9.8091192 9.8092691 9.8094189 9.8832974 9.8095686 9.8831908 9.883084: 9.8829774 9.8828706 9.8827638 9.8103159 9.8826568 169.81046509.8825499 9.810614] 9.810763 j 9.8109121 9.9110609 9.8821213 9.8112096 9.8113583 9.8115069 9.811655I 9.8118038 9.8824428 9-8823357 9.8822285 9.8820140 9.8819067 9.8817992 9.8816918 9.8815842 9-8i34303 9-8i35777 9.8137250 9.8138721 9.8140192 9.814166; 9-%I43I3 9.8144600 9:8146067 9-8i47534 .6r9.8i48999 9.8150464 9.8151928 9-8J53391 9.8154854 9.81563159. 9.8157776 9-8i59235. 9.8160694 9. 9.8162152 9.8165066 9.8166521 9.8167975 ~3 9-8809376 9.8808296 9.8807215 1.8806134 >■8805052 9.8803970 9.8802887 9.8801803 9.8800719 9.8799634 9.8798548 9.8797462 9-8796375 9.8795287 9.8794199 9-8793110 9.8792021 89.8790930 9.8789840 9.8788748 j. 8 7876.56 9.8786563 9.878547° 9.8784376 9.8783281 9.8163609 9.8782186 9.8781090 9.8779994 9.8778896 9.816942919.8777799 9.9238135 10.0761805 9.9240701 9.9243266 9,9245831 9.9248396 9-6250960 9-9253524 9.9256088 9.9258652 9.9261215 9.9263778 9.926634: 9.9268904 9.9271466 9.9274028 9.9276590 10.0759299 10.0756734 IO.0754169 10.0751604 10.0749040 9-9317547 9.9320105 9.9322662 9.9325220 9-9327777 9-9330334 9-933389o 9-9335446 9.9338003 9-9340559 9-9343 “4 9.9345670 9.9348225 9.9350780 9-9353335 9-9355889 9-9358444 9.9360998 9-9363552 9.9366105 9^368659 9.9371212 9-9373765 9-9376318 9.937887 rang. Comp. | .0746476 .°7439i2 ,0741348 -0738785 .0736222 5-0733659 4' 5.0731096 4! 5.0728534 4: 5.0725972 5.0723410 5.0720848 5.0718287 5.0715720 5.0713165 5.0710604 5.0708044 5.0705484 5.0702924 5.0700364 5.0697805 5.0695245 5.0692686 3.0690128 3.0687569 3.06850: 9-9381423, $•9383975 IO- 9.9386527110. 9.938 9079I10. 9.9391631; 10. .0618577 .0616025 .0613473 .0610921 ■0608369 Degrees o 9.8169429 9. 119.8170882 2j9-8172334 39.8173785 4i9-8i7.5235 5:9.8176685 69-8178133 79.8179581 8 9.8181028 99.8182474 to 9.8183919 9.8185364 9.8186807 9.8188250 9.8189692 9.8191133 9-8i92573 9.8194012 9.8195450 9.8196888 9.8198325 9.8199761 9.8<20ii96 9- 9.8202630 9,8204063 9.8205496 9.8206927 9.8208358 9.8209788 9.8211217 9.8212646 9.8760145 9.8759036 9.8757927 9.8756816 9.8755706 9.8754594 .8753482 9.8752369 9.8751256 9.875014 9.8214073 9.8215500 9.8216926 9.8218351 9-8219775 9.82211^ 9.8222621 9.8224042 9.8225463 9.8226883 9.8228302 9.8229721 9.8231138 9-8232555 9-8233971 9.8235386 9.8236800 9.8238213 9.8239626 9.8241037 9.8242448 9.8243858 9.8245267 9.8246676 9.8248083 9.8249490 9.8250896 9.8252301 9-8253705 9.8255109 41 Degrees 9.8749027 9.8747912 9.8746795 9.8745679 9-874456 9-8743443 9.8742325 9-874I205 9.8740085 9-8738965 9.8737844 9.8736722 9-8735599 9.8734476 9-8733352 9.8732227 9.8731102 9.8729976 9.8728849 9.8727722 9.8726594 9.8725466 9-8724337 9.8723207 9.8722076 9.8720945 9.8719813 9.8718681 9.8717548 9.8716414 9.8715279 9.8714144 9.8713000 9.8711872 9-87I0735 | Tang. | Tan^. Comp. | 9.939163] 9.9394182 9-9396733 9.9399284 9.9401835 9 940438 9.9406936 9.9409486 9.9412036 9.9414585 9-94I7I35 .941968: •9422233 9,942478 9-9427331 9.9429879 9.9432428 9-9434976 9.9437524 9.9440072 9-9442619 9.9445166 9.94477T4 9.945026: 9.945280; 9-945535; 9.9521503 9x9524045 9-9526587 9.9529128 9-953i67o 9.9534211 9-9536752 9-9539293 9-954I834 9-9544374 Tang Comp. 48 Degree 10.0608369 60 59 58 10.0605818 10.0603267 10.0600716 1 a.0598165 10.0,-956 10.0593064 10.0590514 10.0587964 10.0585415 10.05828^ 10.0580316 10.0577767 10.0575218 10.0572669 10.0570121 10.0567572 10.0565024 10.0562476 10.0559928 io-°55738i 10.0554834 10.0552286 10.0549739 10.0547193 10.054464635 34 10,0542 Io-°539553 10.0537007 10.053 44 6 10.0531916 10.052937c 10.0526825 10.052428c 10.0521735 100519190 10.0516645 10.0514x01 10.0511557 10.0509013 10.0506469 10.0503925 10.0501381 10.0498838 10.0496295 10.0493752 10.0491209 14 10.0488666 I3 10,04861241 i 0.04835 81 10.0478497 9 : 0*04759 55 8 10.047.3413 10.0470872 10.0468330 5 .0465789 xp.0463248 10.0460707 10.0458166 10.0455626 Ji S85 VouX. Parti. 286 LOGARITHMIC SI 2 89 9-8309209 Sine (.Sine Comp 42 Degrees 9.8255109 9.82565 9.825791^ 9.82593149. 9.82607x5 9.8262114 9.826351: 9.82649K 9.8 26630^ 9.8267703 9.6269098 9.8270493 9.8271887 9.82732799. 149.827467: 9.8276063 169.8277453 -9.8278843 9.8280231 199.8281619 9.8283006 9.8284393 22 9.8285778 23 9.8287163 24 9.8288547 25 9.8289930 9.8686700 9.8685548 9.8684396 9.8683242 9.8682088 9.8291312 9.8292694 9.8294075 299.8295454 9.8296833 9.8310580 9.8298212 9.8299589 9.8300966 9.8302342 9-83°5°9 9.8306464 9.8307837 . 9-83I195° 42 9.8314688 9.8316056 9.8317423 9.8318789 9.8320155 . 9-8321519 49 9-8322883 9.8324246 519.8325609 „ : 9-8326970 53 9-8328331 54 9-8329691 55 9-8331050 9-87I0735 9.8698182 9.8697037 9.8695^91 9.8694744 9.8693597 9.8692449 9.8691301 9.8690152 9.8689002 9.868785 9.868093. 9.8679779 9.8678623 9.8677466 9.8676309 9.8675151 9.8673992 9.8672833 9.8671673 .8670512 866935: 8668189 >8667026 9.8665863 .8664699 '•8663534 .8662369 .866x203 .8660036 .8658868 9.8657700 1.8656531 '•8655362 .8654192 .865302 9.8651849 9.8650677 9.8649504 9.8648331 9.8647146 56 9.8332408 579-8333766 58 9-8335i22 599-8336478 60(9-8337833 9.8645981 9.8644806 9.8643629 9.8642452 9.8641275 Tiing- | T,)ng: Cornp.j 9-9544374 10.0455626 60 9.9546915 9-9549455 9-955I995 9-9554535 9-9557075 9.9559615 9.9562154 9.9564964 9-9567233 9.9569772 9-9S723ii 9.9574850 9-9577389 9-9579927 9.9582465 10.0453085 10.0450545 10.0448005 10.0445465 10.0442925 9.9585004 9-95 8754’ 9.9590080 9.95926x8 9-9595I55 9.962306 9.9625597 9.9628133 9.9630669 9.9633204 9-9597693 9.9600230 9.9602767 9.9665305 9.9607842 9.9610378 9.9612915 9,9615452 9.9617988 9.9620525 9-9635740 9.9638275 9.9640811 9-9643346 9.964588: 9.9653486 9.9656020 9-9658555 10.0440385 10.0437846 I0-04353°6 52 10.0432767 100430228 10.042768949 10.0425150 10.0422611 10.0420073 x0.04x7535 10.0414996 44 10.041245843 10.0409920 10.0407382 10.0404845 0.0402307 10.0399770 10.0397233 10.0394695 36 10.039215835 10.0389622 10.0387085 10.0384548 10.0382012 IO-°379475 x°-0376939 10.0374403 10.0371867 x 0.03 693 31 10.0366796 10.0364260 10.0361725 10.0359189 10.0356654 10.0354119 9.9648416 xo.o35I584 19 9-965095* 10.0349049 *8 40 9.9661089 9.9663623 9.9666157 9.9668692 9.9671225 9-9673759 9.9676293 9.9678827 9.9681360 9.9683893 9.9686427 9.9688960 9.9691493 10.0346514 ,0-o34398° 10.0341445 10.033891 x 10.0336377 xo.0333843 10.0331308 10.0328775 10.0326241 10.0323707 10.0321173 x 0.0318640 10.0316107 IO*°3I3573 10.03 j 1040 10.0308507 9.9694026 10.0305974 9.9696559(10.0303441 'l'a»g.Cump:l Tang. 47 Degrees N E S TANGENTS. Table, sr:— 9-8337833 9.8339188 9.8340541 9.8341894 9.8343246 9-834459? 9.8345948 9.8347297 9.8348646 9.8349994 9.835x341 9.8640096 9.8638917 9-8637737 9.8636557 9.8635376 9.8352688 9-8354033 .9-8355378 49-8356722 5 9.8358066 43 Degrees' Sine Comp, J ~ 9.8641275 9.8634194 9.86330x1 9.8631828 9.8630644 9.862946c 9-8359408 9.8360750 9.8362091 *9 9-836343* 9.836477: 269.8372791 9.8374125 28 9-8375458 299.8376790 3£ 9.8378122 319.8379453 329.8380783 339.8382112 349.8383441 9.8600821 35 9-8384769 9-8599619 9.8366109 9.8367447 23 9.8368784 24 9.8370121 25 9-837*456 9.8622338 9.8621148 9.8619958 9.86x8767 9.86x7576 9.8628274 9.8627088 9.8625902 9.8624714 9.8623526 9.8616383 9.8615190 9-8613997 9.8612803 9.8611608 9.8610412 9.8609215 9.8608018 9.8606821 9.8605622 369.83860969-8598416 37 9-8387422 9-85972*3 38 9.8388747 9.8596009 39 9-8390072 9.8594804 4£ 9-839*396 9-8593599 4* 9.8392719 9-8592393 42 9.8394041 9.8591186 43 9-8395363 9-8589978 44 9.83966849-8588770 45,9-8398004 9-858756 46 9.8399323 9.8586351 47 9.84006429-858514* 48 9.8401959 9.8583929 49 9.8403276 9.85827x8 50 9.8404593 9.8581505 5* 9.8405908 9.8580292 52 9.8407223 9.8579078 53 9-8408537 9-8577863 54 9.8409850 9.8576648 55 9.8411162 9-857543 569.84124749.8574215 57 9-84*3785 9-8572998 9.8604423 9.8603223 9.8602022 9.8415095 9.8571779 9.84164049.8570561 9-84*77*3 9-857934: tang.' 9-9696559 9.9699091 9.9701624 9.9704157 9.9706689 9.9709221 9-97**754 9.97x4286 9.97168x8 9-97*9350 9.9721882 9.9724413 9.9726945 9.9729477 9.9732008 9-9734539 9-973707* 9.9739602 9-9742I33 9.9744664 9-9747*95 9.9749726 9-9752257 9-9754787 9-97573*8 9-9759849 9.9762379 9.9764909 9.9767440 9-9769970 9.9772500 9-9775030 9.977756o 9.9780090 9.9782620 9.9785149 9.9787679 9.9790209 .9792738 .9795268 ■9797797 Tang. Comp. 1 10.03 03 441 |6o x 0.0300909 59 10.029837658 10.029584357 10.0293311 56 10.02907 79(55 0.028824654 10.028571453 10.0283182 5 ji 10.028065051 xo.0278118 50 o-°275587 49 10.027305548 10.027052347 10.026799246 10.0265461 45 10.026292944 10.0260398 43 10.0257867 42 10.02553364: 10.0252805 .10.0250274:3; .0247743 10.0245213 31 10.024268236 10.024015x 35 40 0.0237621 10.0235091 10.0232560 3: 10.0230030 10.0227500 10.0224970 10.0222440 10.0219910 10.0217380 26 10.021485 9.9S12972 9.9815501 9.9818030 9.9820559 9.9823087 9.9800326 9.9802856 9.9805385 9.9807914 9.9810443 10.0187028 10.0184499 10.0181970 10.0179441 10.0176913 9.9825616 9.9828145 9.9830673 9.9833202 9-983573° 9.9838259 9.9840787 9-98433*5 9-9845844 9.9848372 46 Degrees Tang.Comp. IO.0212321 io.o20979x ,10.0207262 10.0204732 10.0202203 10.0199674 10.0197144 10.0194615 10.0192086 *0.0189557 27 10.0174384] 9 10.01718551 10.0169327 10.0x66798 10.0164270 10.0161741I 10.0159213 3 10.0156685 10.0154156 10.01.51628I o Jang- 'able, LOGARITHMIC SINES and TANGENTS, *B7 9.8417713 9.8419021 9.8420328 9.8421634 9.8422939 3 4, . . 3 9.84242449.8563232 9.8425548 9.8426851 9.8428154 9.8429456 9.8430797 9.8432057 9-8433856 9-8434655! 9-8435953 44 Degrees 9.8569349 Sine Comp. 9.856812X 9.85669OO 9.8565678 9.8564455 9.8562008 9.8560784 9-8559558 9-8558332 9.8557106 9.8555878 9.8554650 9-855342I 9.8552192 9.84372509.8550961 9.845x470 9.8452758 9.8454045 9-8455332 9-8438547 9.8439842 9.844x137 9.8442423 9-84437 251 ; 9.8445018: 9.8446310 9.844760 9.844889: 9.8450181 9-8537381 9.8536142 9.8534902 9.8533662 9.845661819.8532421 Tang. 9.9848372 9.98 509OO 9.9853428 9-9855956 9.9858484 9.9861012 9-9863540 9.9866068 9.9868596 9.9871123 9-987365I 9.9876179 9.9878706 9.9881234 9.9883761 9.9886289 IO.OI3646054 IO.O13393253 IO.OI3140452 IO.O128877I51 IO.O126349I50 9.9888816 9.9891344 9.9893871 9.9896399 9,9898926 9.9901453 9.9903981 9.9906508 9.9909035 9.9911562 9.9914089 9.9916616 9.9919143 9.9921670 9.9924197 IO.OI49IOO59 io.oi46752!58 xo.oi44044l57 10.0x4151656 io.oi38g88l55 10.012382X IO.0I2I294 10.0118766 0.01x6239 0.0113711 0.0111184 0.0108656 0.0106129 10.010360 10.0101074 0.0098547 10.0096019 10.0093492 10.0090965 10.0088438 10.00815911 10.0083384 10.00808 57 10.0078320 10.0075803 45 Degrees 3 32 33 34 35 36 9- 9.8457903 9.8459188 9.8460471 9.8461754 9.8463036 ,.8464318 9-8465599 9.8466879 9.8468158 9.8469436 469. 49 9- I Sine Comp 9.8456618 9-853242I 9.8470714 9.8471991 9.8473267 . '-8474543 9-84758I7 1.847709: ,1.8478365 9.8479637 9.8480909 9.8482180 9.8483450 9.8484720 9.8485989 9.8487257 9.8488524 9.8518721 9.85x7471 9.8516220 9.8514969 9.8513717 9.8512465 9.85H211 9-85°9957 9.8508702 9.8507446 9.8506190 9-8504933 9-8503675 9.8502417 9.8501157 9.848979: 9.8491057 9.8492322 9.8493586 1.8494850 9.8499897 9.8498637 9-8497375 9.8496113 9.8494850 Sine Comp. Degrees an%- 9.9924197 9.9926724 9.9929251 9.9931778 9-9934305 9.9936832 9-9939359 9.9941886 9-99444I3 9.9946940 9-9949466 9-9951993 9.9954520 9-9957047 9-9959573 9.9962100 9.9964627 9.9967154 9.9969681 9.9972207 9-9974734 9.9977260 9.9979787 99982314 9.9984840 9-998736- 9.9989893 9.9992420 9.9994947 9-9997473 10.0000000 Tang. Comp, j io.oo758o3|3« 10.0073276 1O.0070749 10.0068222 10.0065695 10.0063168 10.0060641 10.0058114 10.0055587 10.0053060 2 10.0050534 10.0048007 10.0045480 10.0042953 10.0040427 10.0037900 10.0035373 10.0032846 : 0.0030320 :o.oo25793 0.0022266 r'0.0022740 9 10.0020213 ^ 10.0017686 7 10.0015160 6 10.0012633 10.0010107 .0007580 10.0005053 10.0002527 0.0000000 45 Degrees * allK- I c 1 LOG LOG cjtcLXxin, M,ogarith> LOGARITHMIC CURVE. If on the line AN o|ic curve wayS Jnd'finitely extended, be taken A C, C E, E G, G I, I L, on the right hand ; and aifo Ag,g P, &c, on the left, all equal to one another : and if at the points P^, A, C, E, G, I, L, be erected to the right line A N, the perpendiculars PS, ^<7, A B, C D, E F, G H, 1 K, L M, which let be continually propor¬ tional, and reprefent numbers, viz. AB, 1 ; CD, 10; EF, 100, &c. then (hall we have two progreffions of lines, arithmetical * and geometrical: for the lines AC, AE, AG, £cc. are in arithmetical progreffion, or as 1, 2, 3, 4, 5, &c. and fo reprefent the logarithms to which the geometrical lines A B, CD, E F, &c. do correfpond. For fince AG is triple of thefirftline AC, the number GH {hall be in the third place from unity, if C D be in the firit: fo likewife {hall L M be in the fifth place, fince ALcry AC. If the extremi¬ ties of the proportionals S, d, B, D, F, &c. be joined by right lines, the figures S B M L will become a po- lygon, confifting of more or lefs fides, according as there are more or lefs terms in the progreffion. If the parts A C, C E, EG, &c. be bifedted in the points c, e, g, i, /, and there be again raifed the per¬ pendiculars, cd, ef,gh, ik, Im, which are mean pro¬ portionals between A B, CD, CD, E F, &c. then there will arife a new feries of proportionals, whofe terms, beginning from that which immediately follows unity, are double of thofe in the firfl feries, and the I^gaoth- difference of the terms is become lefs, and approach mic Clirve; nearer to a ratio of equality than before. Likewife, “ ^ in this new feries, the right lines AL, Ac, exprefs the diftances of the terms LM cd, from unity, viz. fince AL is ten times greater than Ac, LM {hall be the tenth term of the feries from unity : and becaufe A e is three times greater than Ac, ef will be the third term of the feries if c c? be the firft, and there fhall be two mean proportionals between AB and e j\ and between AB and LM there will be nine mean proportionals. And if the extremities of the lines B d, D/, F h, &c. be joined by right lines, there will be a new polygon made, confifting of more but ihorter fides than the laft. If, in this manner, mean proportionals be continual¬ ly * placed between every two terms, the number of terms at lalt will be made fo great, as alfo the number of the fides of the polygon, as to be greater than any given number, or to be infinite ; and every fide of the polygon fo leffened, as to become lefs than any given right line ; and confequently the polygon will be chan¬ ged into a curve-lined figure; for any curve-lined fi¬ gure may be conceived as a polygon, whofe fides are infinitely fmall and infinite in number. A curve defcri- bed after this manner is called logarithmicaL It is manifeft from this defcription of the logarith¬ mic curve, that all numbers at equal diftances are con- A a 2 tinually LOG [ 188 1 LOG tinually proportional. It is alfo pirn, that if there be cated by thefe right lines will have the fame common Logarithm four numbers, AB, CD, IK, L.M, fuch that the di- ratio ; and, jdly, That the feries thus indicated by two m‘cLinej» ftance between the fir ft and fecond be equal to the di- parallel right lines, fuppofed to move laterally, without ftance between the third and the fourth, let the di- changing either their mutual diftance or parallelifm ftance from the fecond to the third be what it will, to themfelves, will have each the fame ratio, and in all thefe numbers will be proportional. For becaufe the feries indicated by fuch two lines, the ratio between an diftances AC, IL, are equal, AB /hall be to the incre- antecedent and confequent; the former taken upon one ment D r, as IK is to the increment.MT. Wherefore, line, and the latter upon another, will be alfo the fame, by compofition, AB . DC :: IK: ML. And, contra- The ijl of thefe propofitions is proved in the fol- riwife, if four numbers be proportional, the diftance lowing manner. Let the lines AB, CD, EF, repre-Pfate- between the firft and fecond fhall be equal to the di- fent parts of the logarithmic .line arranged according ^ ftance between ^the third and fourth. to the proportion already mentioned ; and let GH be The diftance between any two numbers is call- a right line pafting through the points e, c, a, denoting ed the logarithm of the ratio of thofe numbers ; and, in- numbers in geometrical progreffion ; then will any deed, doth not meafure the ratio itfelf, but the num- other line IK, drawn acrofs the arrangement, likewife her of terms in a given feries of geometrical propor- pafs through three pointsf,d, b, in geometrical pcogref- tionals, proceeding from one number to another, and lion. From one of the points of interfe&ion f in the defines the number of equal ratios by the compofition lait mentioned line IK, draw the line fg parallel to whereof the ratios of number is known. GH, and interfering the arrangement in,the points Logarithmic Lines. For many mechanical purpofes h; and the ratios of the numbers e,f cyi, will be it is convenient to have the logarithms of numbers laid equal, as well as of a, h; becaufe the intervals on the’ down on feales, as- well as the logarithmic fines and logarithmic line, or differences of tire logarithms of tangents ; by, which means, computations may be car- thofe numbers, are equal. Again, the point f the line ried on by mere menfuration with cotnpaffes. Lines if and the line hb, are in arithmetical progreffion de- of this kind are always put on the common Gunter’s noting the differences between the logarithms of the fcale ; but as thefe inftruments muft be extended to a numbers themfelves ; whence the quotients of the num- very great length, in order to contain any confiderable bers are in geometrical progreffion. quantity of numbers, it becomes an object of impor- The xd propofition is proved in a fimilar manner, tance to ffiorten them. Such an improvement has been For as it was ffiown that the line fg, parallel to GH, made by Mr William Nicholfon, and publiftied in the paffes through points of divifion denoting numbers in 77 th volume of the Philofophical Tranfaetions. The the fame continued "ratio as thofie indicated by the line principles on which the conftruftion of his inftruments GH ; it may alfo be ffiown, that the line LM paral- depends are as follow : lei to any other line IK, will pafs through a feries of. 1. If two geometrical feries of numbers, having the points denoting numbers which have the fame cdhti- fame common ratio, be placed m order with the terms nued ratio with thofe indicated by the line IK, to oppofite to each other, the ratio between any term in which it is parallel. one feries and its oppofite in the other will be con- ftantThus, . 2 6 18- 54 162, &c. 3 9 27 81 243, &c. Then, 3 6 918 27 54 81 162 243, &c. The yl propofition arifes from the parallelifm of the lines to their former fituation ; by which means they indicate numbers* in a geometrical feries, having the fame common ratio as before : their diftance on the logarithmic line alfo remains unchanged ; whence the where it is evident, that each of. the terms in the up- differences between the logarithms of the oppofite per feries is exa&ly two-thirds of the correfponding numbers, and of confequence their ratios, will always one in the lower. be conftant. 2. The ratio of any two terms in one feries will be 5. Suppofing now an antecedent and confequent to. the fame with that between thofe which have unequal be given in any geometrical feries, it will always be diftance in the other. poffible to find them, provided the line be of unlimited: 3. In all fuch geometrical feries as have the fame length. Drawing two parallel lines, then, through each, ratio, the property above-mentioned takes place, tho’ of the numbers, and fuppofing the lines to move with- we compare the terms of any feries with thofe of ther; Thus, {2 4 8 16 32 64, &c. "£3 6 12 24 48 96, &c. 16 32 64 128, &c. out changing their direction or parallel fituation, they will continually deferibe new antecedents and confe-. quents in the fame geometrical feries as before- 6. Though the logarithmic line contain no greater range of numbers than from 1 to 1 o,. it will not be. ^5 10 20 40 80 160, &c. ; where it is found neceffary for the purpofes of computation to re¬ plain that 2, 4, 3, 6; alfo 2,4, 4, 8, and 2, 4,5, xg, &e. peat it. The only thing requifite is.to have a Aider have the fame ratio with that of each feries. or beam with two fixed points' at the diftance of the 4. If the differences of the logarithms of the num- interval betwixt 1 and 1 o, and a moveable point be bers be laid in order upon equidiftant parallel right made to range betwixt them always to indicate the an- lines, in fuch a manner that a right line drawn acrofs tecedent; then, if the confequent fixed point fall with- the whole ffiall interfedl it at divifiohs denoting num- out the rule, the other fixed point will always denote bers in geometrical progreffion 4then, from the condi- the divifion on which, it would have fallen had the tion of the arrangement, and the property of this lo- rule been prolonged ; and this contrivaace may eafily be garithmic line, it follows, ift. That every right line fo adapted to any arrangement.of parallel lines whatever, drawn will, by its interfedbions, indicate a geometrical The arrangement of right lines, however, ought al- feries of numbers j 2dly, That fuch feries as are indi- ways to be difpofed in fuch a manner as to.occupy a » right LOG r 189 ] LOG I',fiprarit>i- 'right angled parallelogram, or the crofs line already ^anc l.'.ney. ^n^joned ought always to be at right angles to the v length of-the ruler. Fig. 7. is a ruler ccnfifting of ten parallel lines. Fig. 8. ,a beam-compafs for meafuring the intervals. B, A, C, are the parts which apply to the furface of the ruler ; the middle one, A, being moveable fidewife in a groove in the piece DE, fo as always to preferve its parallelifm to the external pieces DC, which are fixed at a diflance equal to the length of the ruler, and have their edges placed in fuch a manner as to form . with the parallel lines which they interfett a ratio,' which by compofition is ; which in the prefent cafe requires them to be at right'angles to the length. The piece DE is applied to the edge FG of the ruler.- The edges or borders H, I, K, L, are more conveniently made of tranfparent horn, or tortoife-fhell, than of any opaque matter. In ufing this ruler, apply the edge of either B or C to the confequent, and Aide the piece A to the an¬ tecedent obferving the differente between the num¬ bers on the pieces denoting the lines they are found on : then, applying the fame edge of A to any other . antecedent, the other piece B or C will interfeft a con¬ fequent in the fame ratio upon that line, having the fame fituation with regard to the antecedent that the line of the former confequent had to its antecedent. But if B be the cpnfequent piece, and fall without the ruler, the piece C will fhow the confequent one line lower ; or if C, in like manner, fall without the ru¬ ler, then B will fhow the-confequent one line higher. “ It might be convenient (fays Mr-Nicholfon) for the purpofe of computation, to make inftruments of this kind with one hundred or more lines : but in the pre¬ fent inftrument, the numbers on the pieces will anfwer the fame purpofe; for if a confequent fall upon a line at any given number of intervals without the ruler, it will be found on that line of the arrangement which oc¬ cupies the fame number of intervals reckoned in¬ wards from the oppofite edge of the ruler.” Fig. 9. is an inftrument on the plan of a Gunter’s fcale of 28t inches long, invented by the late Mr Ro- bertfon. There is a moveable piece AB in the Aider GH, aorofs which is drawn a fine line-: the Aider ha¬ ving alfo lines CD, EF, drawn/acrofs it at diftances from each other equal to the length of the ruler AB. In ufing the inftrument, the line CD or EF is to be placed at the confequent, and the line in AB at the antecedent : then, if the. piece AB be placed at any other antecedent, the fame line CD or EF will indicate its confequent in the fame ratio taken the fame way : that is, if the antecedent and confequent lie on the fame fide of the Aider, all other antecedents and confe- Logarithm quents in that rhtio will be in the fame manner; and the mic ^ine9,l contrary if they do not. But if the’confequent line fall ' w ithout the rule, the other fixed line on the Aider will Atow the confequent, but on the contrary fide of the Aider to that w-here it would elfe have been feen by means of the firft confequent line. Fig. 10. is a circular inftrument equivalent to the former ; confiftiag of three concentric circles engraved and graduated upon a plate of an inch and an half dia¬ meter. Two legs A and B proceed from the centre, having right-lined edges in the dire&iori of radii ; and are moveable either fingly or together. In ufing the inftrument, place one of the edges at the antecedent and the other at the confequent, and fix them at the angle. Move the two legs then together; and having placed the antecedent leg at any other number, the other will give the confequent one in the like po- fition on the lines. If the line CD happen to lie between the legs, and B be the Oonfequent leg, the number fought will be found one line farther from the centre than it would otherwife have been ; and on the contrary, it will be found one line nearer in the like cafe, if A be the confequent leg. “ This inftrument (fays Mr Nicholfon) differing from that reprefented fig. 7. only in its circular form, and tHe advantages refulting from that form, the lines muft be taken to fiicceed each other in the fame manner laterally ; fo that numbers wdiich fall either within or without the ar¬ rangement of circles, will be found on fuch lines of the arrangement as would have occupied the vacant places if the fucceflion of lines had been indefinitely repeated fidewife. “ I approve of this conftruftion as fuperior to every other which has yet occurred to me, not only in point of convenience, but like wife in the probability of be¬ ing better executed; becaufe fmall arcs may be gradu¬ ated with very great accuracy, by divifions transferred from a larger original. The inftrument, fig. 7. may be contained conveniently in a circle of about four inches and an half diameter. “ The circular inftrument is a combination of the Gunter’s line and the fe&or, with the improvements here pointed out. The property of the feftor may be ufefid in magnifying the differences of the loga¬ rithms in the upper parts of the line of fines, the middle of the tangents, and the beginning of the Ver- fed fines. It is even poflible, as mathematicians will eafily conceive, to draw fpirals, on which graduations of parts, every where equal to each other, will fttow the ratios of thofe lines by moveable radii, • fimilar ta. thofe in this inftrument.” LOGIC- T OGIC is the art of thinking and reafoning juftly ; -*-J or, it may be defined the fcienee or hiftory of the human mind, inafmuch as it traces the progrefs of our knowledge from our firft and moft fimple conceptions through all their different combinations, and all thofe numerous dedudftions that refult from varioufiy com¬ paring them one with another. The precife bufinefs of logic therefore is, To explain the nature of the human mind, and the proper manner of conducing its feveral powers,, in order to the attain¬ ment of truth and knowledge. It lays open thbfe errors and miftakes we are apt, through inattention, to run. into ; and teaches us how to diftinguifti between truth, and what only carries the appearance of it. By thefe’ means we grow acquainted with the nature and force of the underftanding; fee what things lie within its reach: i()Q LOGIC. Parc L Teach ; where we may attain certainty and demonftra- viz. Perception, Jndgement, Reafoning, and Method. tion; and when we mult be contented with probabi- This divifion comprehends the whole hiftory of the lity. fenfations and operations of the human mind. This feience is generally divided into four parts, PartI. Of PERCEPTION. '’IT7E find ourfelves furrounded with a variety of ob- ^ ^ jefts, which adting differently upon our fenfes, convey diflindl impreffions into the mind, and thereby roufe the attention and notice of the underflanding. By refledting too on what pafies within us, we become fenfible of the operations of our own minds, and at¬ tend to them as a new fet of impreffions. But in all this there is only bare confcioufnefs. The mind, with¬ out proceeding any farther, takes notice of the im- prefiions that are made upon it, and views things in order, as they prefent themfelves one after another. This attention of the underftanding to the objedl adt- ing upon it, whereby it becomes fenfible of the im- prefiions they make, is called by logicians perception; and the notices themfelves, as they exift in the mind, and are there treafured up to be the materials of think¬ ing £nd knowledge, are diftinguifhed by the name of ideas. In the article Metaphysics it fhall be fhown at large, how the mind, being furnifhed with ideas, contrives to diverfify and enlarge its Hock : we have here chiefly to confider the means of making known our thoughts to others ; that we may not only underhand how knowledge is acquired, but alfo in what manner it may be communicated with the greateft certainty and advantage. Chap. I. Of Words, confidered as the Signs of our Ideas. * I. Our ideas, though manifold and various, arene- nTlh th/Ur" verthehris all within our own breafts, invifible to o- reears of thers, nor can of themfelves be made appear. But recording God, defigning us for fociety, and to have fellowfhip our own with thofe of our kind, has provided us with organs thoughts; fittcd to frame articulate founds, and given us alfo a capacity of ufing thofe founds as figns of internal con¬ ceptions. Hence fpring words and language : for, having once pitched upon any found to Hand as the mark of an idea in the mind, cuilom by degrees efla- blifhes fuch a conneftion between them, that the ap¬ pearance of the idea in the underflanding always brings to our remembrance the found or name by which it is expreffed ; as in like manner the hearing of the found never fails to excite the idea for which it is made to Hand. And thus it is eafy to conceive how a man may record his own thoughts, and bring them again - into view in any fucceeding period of life. For this conneftion being once fettled, as the fame founds will always ferve , to excite the fam£ ideas ; if he can but contrive to regifler his words in the order and difpo- fition in which the prefent train of his thoughts pre¬ fent themfelves to his imagination, it is evident he will be able to recal tliefe thoughts at pleafure, and that too in the very manner of their firfi appearance. Ac¬ cordingly we find, that the inventions of writing and printing, by” enabling us to fix and perpetuate fuch perifhable things as founds, have alfo furnifhed us with the means of giving a kind of permanency to the tranfaftions of the mind, infomuch that they may be in the fame manner fubjefted to our review as any other objefts of nature, II. But, befides the ability of recording our own * thoughts, there is this farther advantage in the ufe of1 * external figns, that they enable us to communicate communi- our thoughts to others, and alfo to receive information cation of of what paffes in their breaks. For any number of men, jfnowlcdSe having agreed to eftablifh the fame founds as figns °f nian'to'ano- the fame ideas, it is apparent that the repetition of ther. thefe founds muH excite the like perceptions in each, and create a perfeft correfpondence of thoughts. .When, for inflance, any train of ideas fucceed one another in my mind, if the names by which I am wont to exprefs them have been annexed by thofe with whom I converfe to the very fame fet of ideas, nothing is tnore evident, than that, by repeating thofe names according to the tenor of my prefent concep¬ tions, 1 fiiall raife in their minds the fame courfe of thought as has taken poffeffion of my own. For by barely attending to what paffes within themfelves upon hearing the founds which 1 repeat, they will alfo become acquainted with the ideas in my under- Handing, and have them in a manner Iqid before their view. So that we here clearly perceive how a man may communicate his fentimeiits, knowledge, and dif- coveries to others, if the language in which he con- verfes be extenlive enough to mark all the ideas and tranfaftions of his mind. But as this is not always the cafe, and men are often obliged to invent terms of their own to exprefs new views and concep¬ tions of things ; it may be- allied, how in thefe cir- tircumffances we can become acquainted with the thoughts of another, when he makes ufe of words, to which we have never annexed any ideas, and that of courfe can raife no perceptions in our minds ? In or¬ der to unveil this myffery, and give fome little inlight into the foundation, growth, and improvement of lan¬ guage, the following obfervations will be found of con- iiderable moment. III. Firll, that no word can be to any man the 3 fign of an idea, till that idea comes to have a real ex- iffence in his mind. For names, being only fo far in- telligible as they denote known internal conceptions; ed into the where they have none fuch to anfwer them, there mind by they are plainly founds without fignification, and 0fw"rdf>.or courfe convey no inffruftion or knowledge. But notjon> **' fooner are the ideas to which they belong raifed in the underffanding, than, finding it eafy to conneft them with the effablilhed names, we can join in any agree¬ ment of this kind made by others, and thereby enjoy the benefit of their difeoveries. The firff thing therefore to be conndered is, how thefe ideas may be conveyed in¬ to the mind ; that being there, we may learn to con¬ neft Parti- LOGIC, 391 ne& them with their appropriated founds, and fo be¬ come capable of underftanding others when they make ufe of thefe founds in laying open and communicating their thoughts. Now, to comprehend this difUn&ly, it will be neceffary to attend to the divifion of our ideas into fimple and complex, (fee Metaphysics.) And firft, as for our fimple ideas; they can find no admiffion into the mind, but by the two original fountains of knowledge, fenfation and reflection. If therefore any of thefe have as yet no being in the un¬ derftanding, it is impofiible by words or a defcription to excite them there. A man who had never felt the fonfation of heat, could hot be brought to comprehend that fenfation by any thing we might fay to explain it. If we would really produce the idea in him, it muft be by applying the proper objeft to his fenfes, and bringing him within the influence of a hot body. When this is done, and experience has taught him the perception to which men have annexed the name beat) it then becomes to him the fign of that idea, and he thenceforth underftands the meaning of the term, which, before, all the words in this world would not have been fufficient to convey into his mind. The cafe is the fame in refpeft of light and colours. A man born blind, and thereby deprived of the only con¬ veyance for the ideas of this clafs, can never be brought to underftand the names by which they are exprefled. The reafon is plain : they ftand for ideas that have no exiftence in his mind; and as the organ appropriated to their reception is wanting, all other contrivances are vain, nor can they by any force or defcription be raifed in his imagination. But it is quite otherwife in our complex notions. For thefe being no more than certain combinations of fimple ideas, put toge¬ ther in various forms ; if the original ideas out of which the collections are made have already got ad¬ miffion into the underftanding, and the names ferving to exprefs them are known ; it will be eafy, by enu¬ merating the feveral ideas concerned in the compofi- tion, and marking the order and manner in which they are united, to raife any complex conception in the mind. Thus the idea anfwering to the word rain¬ bow may be readily excited in the imagination of ano¬ ther who has never feen the appearance itfelf, by bare¬ ly defcribing the figure, largenefs, pofition, and or¬ der of colours ; if we fuppofe thefe feveral fimple ideas, with their names, fufficiently known to him. 4 IV. And this leads to a fecond obfervation upon this The nawes fubjeft, namely, That words Handing for complex of complex ideas are all definable, but thofe by which we denote nab^e th("fe dmple ideas are not; for fimple ideas being fecondary of fimple i- perceptions, which have no other entrance into the isas not. mind than by fenfation or reflection, can only be got by experience, from the feveral objects of nature, pro¬ per to produce thofe perceptions in us. Words indeed may very well ferve to remind us of them, if they have already found admiffion into the underftanding, and their connection with tke eftablifhed names is known ; but they can never give them their original being and exiftence there. And hence it is, that when any one afks the meaning of a word denoting a fimple idea, we pretend not to explain it to him by a definition, well knowing that to be impoffible; but, fuppofing him already acquainted with the idea, and only igno- jaut of the name by which it is called, we either men¬ tion it to him by fome other name with which we prefume he knows its connection, or appeal to the objeCt where the idea itfelf is found. Thus,'were any one to aflc the meaning of the word white, we fhould tell him it flood for the fame idea as alius in Latin, or blanc in French ; or, if we thought him a ftranger to thefe languages, we might appeal to an objeCt pro¬ ducing the idea, by faying it denoted the colour we ob- ferve in /now or milk. But this is by no means a de¬ finition of the word, exciting a new idea in his un¬ derftanding ; but merely a contrivance to remind him of a known idea, and teach him its connection with the eftablifhed name. For if the ideas after which he inquires have never yet been raifed in his mind; as fuppofe one who had feen no other colours than black and white, fhould afk the meaning of the word fcarlet; it is eafy to perceive, that it would be no more pof- fible to make him comprehend it by words, or a defi¬ nition, than to introduce the fame perception into the imagination of a man born blind. The only method in this cafe is, to prefent fome objeCt, by looking at which the perception itfelf may be excited ; and thus he will learn both the name and the idea together. V. But how comes it to pafs that men agree in the p 5 names of their fimple ideas, feeing they cannot view an(f obler- the perceptions in one another’s minds, nor make wation known thefe perceptions by words to others ? The bring men effeCt is produced by experience and obfervation. Thus finding, for inftance, that the name of beat is names cf annexed to that fenfation which men feel when they fimple i- approach the fire, I make it alfo the fign of the fenfa- deas. tion excited in me by fuch an approach, nor have any doubt but it denotes the fame perception in my mind as in theirs. For we are naturally led to imagine, that the fame objects operate alike upon the organs of the human body, and produce an uniformity of fenfations. No man fancies, that the idea raifed in him by the tafte of fugar, and which he calls fwecinefs, differs ' from that excited in another by the like means; or that wormwood, to whofe relifh he has given the epi¬ thet bitter, produces in another the fenfation which he denotes by the word fweet. Prefuming therefore upon this conformity of perceptions, when they arife from the fame objects, we eafily agree as to the names of our fimple ideas : and if at any time, by a more narrow fcrutiny into things, new ideas of this clafs come in our way, which we choofe to exprefs by terms of our own invention ; thefe names are ex¬ plained, not by a definition, but by referring to the objects whence the ideas themfelves may be obtained. VI. Being in this manner furnilhed with fimple i- 6 deas, and the names by which they are expreffed ; the ^e3^* g meaning of terms that ftand for complex ideas is sa- c,;mplcx i- fily got, becaufe the ideas themfelves anfwering ta iea fry de» thefe terms maybe conveyed into the mind by dcfi- fi'Uions, a nitions. For our complex notions are only certain^*^ combinations of fimple ideas. When therefore thefe are enumerated, and the manner in which they are united into one conception explained, nothing more is wanting to raife that conception in the underftand¬ ing ; and thus the term denoting it .comes of courfe to be underftood. And here it is worth while to refle& a little upon the wife contrivance of nature, in thus furnilhing us wich the very apteft means of commu¬ nicating our thoughts. For were it not fo ordered* that 192 that we cotild thus convey one to another by definitions, it would in many cafes be impofiible to make them known at all. This is LOGIC. Part I. complex ideas from thelefs it is univerfally allowed that the fignificatioh of words is perfeftly voluntary, and not the effect of any natural and necdfary connection between them and apparent in thofe ideas which are the proper work of the ideas for which they Hand; fome may perhapi the mind. For as they exift only in the underftand- ing, and have no real objects in nature in conformity to which they are framed ; if we could not make them •known by defcription, they mult lie for ever hid with¬ in our own breafts, and be confined to the narrow acquaintance of a fingle mind. All the fine fcenes that arife from time to time in the poet’s fancy, and by his lively painting give., fuch entertainment to his readers; were he ddlitute of this faculty of laying them open to the view of others by words and de¬ wonder why definitions are not fo too. In order therefore to unravel this difficulty, and ffiow diltinctly what is and what is not arbitrary in fpeech, we muft carefully diftinguifh between the connection of our words and ideas, and the unfolding of the ideas them- felves. II. Firft, as to the conneftion of our words and ideas; 9 this, it is plain, is a purely arbitrary inftitution. When, for inftance, we have in our minds the idea of any tween particular fpecies of metals, the calling it by the name words and fcription, could not extend their influence beyond his gold is an effect of the voluntary choice of men fpeak- own imagination, or give joy to any but the original ing the fame language, and not of any peculiar aptnefs [untary e- inventor. in that found to exprefs that idea. Other nations we ftablilh- 1 VII. There is this farther advantage m the ability find make ufe of different founds, and with the fame meut. a "avail we enj°y °f communicating our complex notions by effedt. Thus aurum denotes that idea in Latin, and fowards the definitions; that as thefe make by far the largeft clafs or in French ; and even the word gold itfelf would improve- of our ideas, and molt frequently occur in the progrefs have, as well fei-ved to exprefs the idea of that metal mentof and improvement of knowledge, fo they are by thefe knowledge. means imparted with the greateft readinefs, than which nothing would tend more to the increafe and fpreading of fcience : for a definition is foon perufed ; and if the terms of it are well underftood, the idea itfelf finds an eafy admiffion into the mind. Whereas in Ample perceptions, where we are referred to the objedls producing them, if thefe cannot be come at, as is fometimes the cafe, the names by which they are expreffed muff remain empty founds. But new ideas of this clafs occurring vefy rarely in the fciences, they feldom create any great obftrudtion. It is otherwife with our complex notions; for every ftep we take leading us into new combinations and views of things, it becomes neceffary to explain thefe to others, before they can be made acquainted with our difcoveries: and as the manner of definitions is eafy, requiring no apparatus but that of words, which are always ready, and at hand ; hence we can with the lefs difficulty re¬ move fuch obftacles as might arife from terms of' our which we call fiber, had cuftom in the beginning efta- bliftied it. III. But although we are thus entirely at liberty in • 10 conne&ing any idea with any found, yet it is quite ^.e 4e" otherwife in unfolding'the ideas themfelves. For e- pfrimwt (fr very idea having a precife appearance of its own* by bat bound- which.it is diffinguifhed from every other idea; it is cd to the manifcfl, that in'laying it open to others, we tnuft P^en**- ihidy fuch a defcription as (hall exhibit that peculiar appearance. When we have formed to ourfelves the pearance by idea of a figure bounded by four equal fides, joined which they together at right angles, we are at liberty to exprefs3" : diftin- that idea by any found, and call it either a. fquaie or a mong triangle. But whichever of thefe names we ufe, fo themfelves.’ long as the idea is the fame, the defcription by which we would fignify it to another mufl: be fo too. Let it be called fquare or triangle, it is Hill a figure having • four equal fides, and all its angles right ones. Hence we clearly fee what is and what is not arbitrary in the ufe of words. The eftablifliing any found as the mark own invention, when they are made to ftand for new of fome determinate idea in the mind, is the effedt of complex ideas fuggefted to the mind by fome prefent free choice, and a voluntary combination among men: train of thinking. And thus at laft we are let into and as different nations make ufe of different founds the myftery hinted at in the beginning of this chapter, to denote the fame ideas, hence proceeds all that va- to's. how we may become acquainted with the thoughts* riety of languages which we meet with in the world, of another, when he makes ufe of words to which we But when a connexion between our ideas and words have as yet joined no ideas. The anfwer is obvious is once fettled, the unfolding, of the idea anfwering to from what has been already faid. If the terms denote any word, which properly conftitutes a definition, is Ample perceptions, he muff refer us to thefe obje&s of by, no means an arbitrary thing : for here we are nature whence the perceptions themfelves are to be bound to exhibit that precife conception which either obtained; but, if they ftand for complex ideas, their the ufe of language, or our own particular choice, meaning may be explained by a definition. hath annexed to tbe term we ufe. tt t. r IV. And thus it appears, that definitions, confidered „ }x „ HAp. . f efim ions. as defcriptions of ideas in the mind, are fteady and in- th^oblciiri- 8 LA Definition is the unfolding offome conception of the variable, being bounded to the reprefentation of thefe ty that has ®e®n‘^on mind, anfwering to the word or term made ufe of as the precife ideas. But then, in the application of defini- hitherto 6 6 " JlSn °f lt' Now as, in exhibiting any idea to another, tions to particular names, we are altogether left to 0UI* it is neceffary that the defcription be fuch as may ex- own free choice. Becaufe as the conne&ing of any of cite that precife idea in bis mind ; hence it is plain that idea with any found is a perfectly arbitrary inftitu-tions. definitions, properly fpeaking, are not arbitrary, but tion, the applying the defcription of that idea to that confined to the reprefenting of certain determinate found muft be fo too. When therefore logicians tell fettled notions, fuch namely as are annexed by the us that the definition of the name is arbitrary, they fpeaker or writer to the words he ufes. As never- mean no more than this; that as different ideas may N° 185. 4 be Part Ii LOG be conhefted with any term, according to the good pleafure of him that ufes it; in like manner may dif¬ ferent defcriptions be applied to the term fuitable, to the ideas fo connedted. But this connexion being fettled, and the term confidered as the fign of fome fixed idea in the underftattding, we are no longer left to arbitrary explications, but muft ftudy fuch a de- fcription as correfponds with that precife idea* Now this alone, according to what has been before laid down, ought to be accounted a definition. What feems to have occafioned no fmall confufion in this matter, is, that many explanations of words, where no idea is unfolded, but merely the connexion between fome word and idea aflerted, have yet been dignified with the name of definitions. Thus, when we fay that a clock is an injlrument by which either annexed to it by cuftom, or defc b'tion our Pvvn ^ree choice; and then the bufinefs of the de- which gpcb finition is to unfold and explicate that idea. As there¬ by the name fore the whole art lies in giving juft and true copies lion de^ni* our hleas ; a definition is then faid to be made per¬ fect, when it ferves diftindtly to excite the idea de- feribed in the mind of another, even fuppofing him before wholly unacquainted with it. This point fet¬ tled, let us next inquire what thofe ideas are wrhich are capable of being thus unfolded ? And in the firft place it is evident, that all our fimple ideas are necef- farily excluded. We have feen already that expe- ’ rience alone is to be confulted here, infomuch that if either the objects whence they are derived come not In our way, or the avenues appointed by nature for their reception, are wanting, no defcription is fufficient to convey them into the mind. But where the un¬ derftanding is already fupplied with thefe original and primitive conceptions, as they may be united together / in an infinity of different forms ; fo may all their fe- veral combinations be diftiaftly laid open, by enume¬ rating the fimple ideas concerned in the various col- lettions, and tracing the order and manner in which they are linked one to another. Now thefe combi¬ nations of fimple notices conftitute what we call our complex notions ; whence it is evident, that complex ideas, and thofe alone, admit of that kind of defcrip¬ tion which goes by the name of a definition. VI. Definitions, then, are pictures or reprefenta- tions of our ideas ; and as thefe reprefentations are then only poffible when the ideas themfelves are complex, it is obvious to remark, that definitions cannot have place but where we make ufe of terms Vou.X. Parti, r c. *93 Handing for fuch complex ideas. But oiir complex ideas, being, as we have frid, nothing more than dif¬ ferent combinations of fimple ideas; we then know and comprehend them perfectly, when we know the feveral fimple ideas of which they confift, and can fo put them together in our minds as may be neceffary to¬ wards the framing of that peculiar connexion which gives every idea its diftinft and proper appearance. 13 VII. Two things are therefore required in every ^'wo. definition : firft, That all the original ideas, out °f ^defiUtion which the complex one is formed, be diftin&Iy enu-to enume-* merated; and, fecondly, That the order and manner ef face the combining them into one conception be clearly ex- plained. Where a definition has thefe requifites, nc-*^tl^‘"r thing is wanting to its perfection ; becaufe every one their com* who reads it and underftartds the terms, feeing at once lunations, what ideas he is to join together, and alfo in what manner, can at pleafure form in his own mind the complex conception, anfwering to the term defined. Let us, for iriftanee, fuppofe the word fquare to ftand for that idea by which we reprefent to oUrfelves a figure whofe fides fubtend quadrants of a circumfcribed circle. The parts of this idea are the fides bounding the figure. Thefe muft be four in number, and all equal among themfelves, becaufe they are each to fub¬ tend a fourth part of the fame circle. But, befides thefe component parts, we muft alfo take notice of the manner of putting them together, if we would ex¬ hibit the precife idea for which the word fquare here Hands. For four equal right lines, any-how joined, will not fubtend quadrants of a circumfcribed circle. A figure with this property muft have its fides Hand¬ ing alfo at right angles. Taking in therefore this laft confideration refpedfing the manner of combining the parts, the idea is fully deferibed, and the definition thereby rendered complete. For a figure bounded by four equal fides, joined together at right angles, has the property required; and'is moreover the only right- lined figure to which that property belongs. 14 VIII. It will now be obvious to every one, in what^°w manner we ought to proceed, in order to arrive at e'ed to^ar" juft and adequate definitions. Firft, we are to take rive at juft an exadf view of the idea to be deferibed, trace it to ““d “de its original principles, and mark the fevcral fimple lluate c‘e®* perceptions that enter into the compofition of it. Se- IUtlon,• condfy, we are to Confider the- particular manner in which thefe elementary ideas are combined, in order to the forming of that precife conception for which the term we make ufe of ftands. When this is done, and the idea wholly unravelled, vst have nothing more to do than fairly tranferibe the appearance it make's to our own minds. Such a defcription, by diftin&ly ex¬ hibiting the order and number of our primitive con¬ ceptions, cannot fail to excite at the fame time in the mind of every one that reads it, the complex idea re- fulting from them ; and therefore attains the true and proper end of a definition. Chap. III. Of the Compofition and Refolutions of our Ideas, and the Rules of Definition thence arifing. I. The rule laid down in the foregoing chapter is general, extending to all pofiible cafes ; and is indeed that to which alone we can have recourfe, where any B b doubt 194 LOGIC. Parti, >5 doubt or difficulty arifes. It is not, however, neceflary then in the fecond, or any other fucceeding order, as ^ imTii that we ffiould pra&ife it in every particular inllance. they are formed out of thofe gradual combinations, our'ideas, Many °f our ideas are extremely complicated, info- and conftitute the inferior clafles, it is not neceflary, we proceed much that to enumerate all the Ample perceptions out in deferibing them, to mention .one by one all the fim- by a fuccel- 0f which they are formed, would be a very trouble- pie ideas of which they confifl. They may be more iion8fa^1 feme and tedious work. For this reafon logicians, diftinttly and briefly unfolded, by enumerating the have eftablilhed certain compendious rules of defining,, compound ideas of a lower order, from whofe union of which it may not be amifs here to give fome ac- they refult, and which are all fuppofed to be already count. But in order to the better underftanding of known in confequence of, previous definitions. Here what follows, it will be neceffary to obferve, that then it is that the logical method of defining takes there is a certain gradation in the compofition of our place ; which, that it may be the better underftood. ideas. The mind of man is very limited in its views, and cannot take in a great number of objects at once. We are therefore fain to proceed by flops, and make our firft advances fubfervient to thofe which follow. Thus, in forming our complex notions, we begin at firft with but a few Ample ideas, fuch as we can ma- we fhall explain fomewhat more particularly the fe- veral flops and gradations of the mind in compound¬ ing its ideas, and thence deduce that peculiar form of a definition which logicians have thought fit to efta- blilh. jg IV. All the ideas we receive from, the feveral ob-The fteps nage with eafe, and unite them together into one con- jects of nature that furround us, reprefent diflinft in- vv*1.‘c^ ception. When we are provided with a fufficient flock of thefe, and have by habit and.ufe rendered them familiar to our minds, they become the compo¬ nent parts of other ideas ftill more complicated, and. form what we may call a fecond order of compound notions. This procefs, as is evident, may be conti¬ nued to any degree of compofition we pleafe, mount¬ ing from one flage to another, and enlarging the num- ^ ber of combinations. Hence ideas II. But now in a ferfes of this kind, whoever would of this elafs acquaint himfelf perfectly with the laft and higheft . belt com- order of ideas, finds it much the moft expedient me- wherTwe ’ to proceed gradually through all the interme- advance diate fteps. For, were he to take any very compound gradually idea to pieces, and, without regard to the feveral pared, and retain only the particulars wherein they thefevcral c^a^es fimple perceptions that have already been for- agree. It is eafy to conceive the mind proceeding orders/ mc(l into diftinft combinations, break it at once into its thus from one ftep to another, and advancing through. original principles, the number would be fo great as per- its feveral daffies of general notions, until at laft it feftly to confound the imagination, and overcome the comes to the higheft genus of all, denoted by the word nfmrtfl- rprirK nml tlip rmnrl. AA/ViPn fpi* hpincr. where the hare irlea n-f f'vi^Ve»nr»e ic r»n1ir erm- dividuals. Thefe individuals, when compared toge- ther, are found in certain particulars to referable each fr0m parti- other. Hence, oy colle&ing the refembling particulars-cular ro gc- into one conception, we form the notion of a fpecies. aera^ ideas. And here let it be obferved, that this laft idea is lefs complicated than that by which we reprefent any of the particular objects contained under it. For the idea of the fpecies excludes the peculiarities of the feveral individuals, and retains only fuch properties as are common to them all. Again, by comparing feveral' . fpecies together, and obferving their refemblance, we form the idea of a genus ; where, in the fame manner- as before, the compofition is leffened, becaufe we leave out what is peculiar to the feveral fpecies com- utmoft reach and capacity of the mind. When we fee a prodigious multitude of men jumbled together in crowds, without order or any regular pofition, we find it impoffible to arrive at an exa are all of a nature liable to change, into effen- TTT, , J. , r , . o eblandac- what may be amrmed 01 them at one time, cannot cfdental. often at another ; and it makes no fmall part of our knowledge to difiinguifli rightly thefe variations, and trace the reafons Upon which thfy depend. For it is obfervable, that amidfi all the viciffitude of nature, fome things remain conHant and invariable j nor even are the changes, to which we fee others liable, eHeft¬ ed but in confequence of uniform and Heady laws, which', when known, ,are fiifficient to direft us in our judgments about them. Hence philofophers, in dh flinguifliing the objefts of our perception into various claffes, have been very careful to note, that fome properties belong efientially to the general idea, fo as not to be feparable from it but by deflroying its very nature ; while-others are only accidental, and may be affirmed or denied of it in different circumffances. N° 185. Thus folidity, a yellow colour, and great weight, are confidered as effential qualities of gold; but whether it fliall exiff as an uniform conjoined mafs, is not alike neceffary. We fee that by a proper menflruum it may be reduced to a fine powder, and that an intenfe heat will bring it into a Hate of fufion. 4T II. From this diverfity in the feveral qualities offence a things arifes a confiderable difference as to the man- "nfid?r' ner of our judging about them. For all fuch proper-*,16^'^* ties as are infeparable from objefts when confidered manner of as belonging to any genus or fpecies, are affirmed ab-judging, folutely and without referve of that general idea. Thus we fay, Gold is very weighty; AJlone is hard; Animals have a power of felf-motion. But in, the cafe of mutual or accidental qualities, as they depend up¬ on fome other confideration diffinft from the general idea; that alfo muff be taken into the account, in or¬ der to form an aexurate judgment. Should we affirm, for inffance, of fome Hones, that they are very fuf- ceptible of a rolling motion ; the propofition, while it remains ill this general form, cannot with any advan¬ tage be introduced into 'our reafonings. An aptnefs to receive that mode of motion flows from the figure of the Hone; which, as it may vary infinitely, our judgment then only becomes applicable and determi¬ nate, when the particular figure, of which volubility is a confequence, is alfo taken into the account. Let us then bring in this other confideration, and the propo¬ fition will run as follows : Stones of a fpherical form are eafily put into a rolling motion. Here we fee the condition upon which the predicate is affirmed, and therefore know in what particular cafes the propofition may be apphed. _ 4J III. This confideration of propofitions refpefting the Which manner in which the predicate is affirmed of the fub-lrive' r‘f® ^ jeft gives rife to the divifion of them into abfolute f1(,)nh'fdlJ<£ and conditional. Abfolute propofitions are thofe where- in we affirm fome property infeparable from the ideam abfo'ute of the fubjeft, and which therefore belongs to it inan<1 condi- all poffible cafes : 2.%,.Godis infinitely wife ; Virtue tends1'0™' to the ultimate happinefs of man. But where the predicate is not neceffarily connefted with the idea of the fub¬ jeft, unlefs upon fome confideration diffinft from that idea, there the propofition is called conditional. The reafon of the name is taken from the fuppofition annexed, which is of the nature of a condition, and may be expreffed as-fuch, thus: If a fione is expofed to the rays of the fun, it will contrast- fome degree of heat ; If a river runs in a very declining channel, its rapidity will con- ftantly increafe. IV. There is not any thing of greater* importance in philofophy than a due attention to this divifion of Lmportanctf propofitions. If we are careful never to affirm things 'his divi- abfolutely but where the ideas are infeparably con-^j^** joined'; and if in otir other judgments we diffinftly pr0p0fj_ mark the conditions which determine the predicate to dons deter- belong to the fubjeft; we fhall be the lefs liable tominate. miffake in applying general truths to the particular con¬ cerns of human life. It is owing to the exaft obfer- vance of this rule that mathematicians have been fo hap¬ py in their difeoveries, and that what they demonffrate of magnitude in general may be applied with eafe in all obvious occurrences. V. The truth of it is, particular propofitions are then known to be true, when we can trace their con- neftiof 20T Part If. L O G I C. 44 ncftionwith univerfals; and it is accordingly the great fume degree of heat. Here we have but one fubject tes them*1 kufinefs of fcience to find out general truths that may and one predicate ; for the complex exprefiion, A from par- he applied with fafety in all obvious inftances. Now , Jlone expofed to the rays of the fun, conftitutes the pro- ticulars to the great advantage arifing from determining with n generals, care the conditions upon which one idea may be af¬ firmed or denied of another is. this: that thereby par¬ ticular propofitions really become univerfal, may be introduced with certainty into our reafonings, and ferve as fiandards to conduft and regulate our judge¬ ments. To illuftrate this by a familiar inftance: if we fay, Some water ads very forcibly ; the propofi- tion is particular: and as the conditions on which this forcible aftion depends are not mentioned, it is as yet uncertain in what cafes it may be applied. Let us then fupply thefe conditions, and the propofition will run thus: Water conveyed in fufficient quantity along a feep defeent aBs very forcibly. Here we have an univerfal judgment, inafmuch as the predicate for¬ cible aBion may be aferibed to all water under the circumftances mentioned. Nor is it lefs evident that the propofition in this new form is of eafy applica¬ tion ; and in fa6l we find that men do apply it in in- ftances where the forcible action of water is required; as in corn-mills and many other works of art. Chap. V. Of Simple and Compound Propofitions. 45 Divifion of I. Hitherto we have treated of propofitions, propofi- where only two ideas are compared together. Thefe per fubjedt of this propofition, and is no more than one determined idea. The fame thing happens in , caufals. Rehoboam was unhappy becaufe he followed evil counfel. There is here an appearance of • two propo¬ fitions arfing from the complexity of the exprefiion ; but when we come to confider the matter more near¬ ly, it is evident that we have but a fingle fubjeft and predicate.. The purfuit of evil counfel brought mifery upon Rehoboam. It is not enough, therefore, to render a pro¬ pofition compound, that the fubjedf and predicate are complex notions, requiring fometimes a whole fentence to exprefs them : for in this cafe the comparifon is ftill confined to two ideas, and conftitutes what we call a fimple judgment. But where there are feveral fubjefts or predicates, or'both, as the affirmation or negation may be alike extended to them all, the propofition ex¬ prefling fuch a judgment is truly a qolledtion of as ma¬ ny fimple ones as there are different ideas compared. Confining ourfelves therefore to this more ftridt and juft notion of compound propofitions, they are all re¬ ducible to two kinds, viz. copulatives and disjunc- tk’eS' ... 47 III. A copulative propofition is, where the fubjeCls Compound •and predicates are fo linked together, that; they may propofiti- be all feverally affirmed or denied one of another. Of'ms> either fimple and al c 111 t^ie Senera^ called fimple ; becaufe, having but this nature are the examples of compound propofitions c,>Pu^ativc: compound. one fubjeft and one predicate, they are the effedl of given above. Riches and honours are apt to elate the a fimple judgment that admits of no fubdivifion. But if it fo happens that feveral ideas offer themfelves to our thoughts at once, whereby we ,are led to affirm the fame thing of different objects, or different things of the fame objedh; the propofitions expreffing thefe judgments are called compound ; becaufe they may be re- folved into as many others as there are fubjedts or pre- dieptes in the whole complex.determination on the mind. Thus, God is infinitely wife and infinitely powerful. Here there are two predicates, infinite wtfdom and infinite power, both affirmed of the fame fubjedl; and accordingly tire propofition may be refolved into two others, affirming thefe predicates feverally. In like maimer in the propofition, Neither kings nor people are exempt from death ; the predicate is denied of both fub- jefts, and may therefore be feparated from them in di- ftindf propofitions. Nor is it lefs evident, that if a com¬ plex judgment confifts of feveral fubje&s and predicates, it may be refolved into as many fimple propofitions as are the number of different ideas compared together. Riches and honours are apt to elate the mind, and in- creafe the number of our defires. In this judgment there mind, and increafe the number of our defires. Neither kings nor people are exempt from death. In the firft of thefe the two predicates may be affirmed feverally of each fubjedt, whence we have four diftindt propofitions. The other furnifhes an example of the negative kind, where the fame predicate, being disjoined from both fubjedts, may be alfo denied of them in feparate pro¬ pofitions. IV. The other fpecies of compound propofitions are Q thofe called disjunctives; in which, comparing feveral t;VCiISJunC* predicates with the fame fubjedt; we affirm that one of them neceffarily belongs to it, but leave the parti¬ cular predicate undetermined. If any one, for ex¬ ample, fays, This world either exifis of itfelf, of is the work of fame all-wife and powerful caiife, it is evident that one of the two predicates muft belong to the world ; but . as the propofition determines not which, it is therefore of the kind we call disjunBive. Such too are the fol¬ lowing : The fun either moves round the earth, or is the centre about which the earth revolves. Friendfhipfinds mm equal, or makes them fo. It is the nature of all pro¬ pofitions of this clafs, fuppofing them to be exadt in two fubjedts and two predicates, and it is at the ..point of form, that upon determining the particular “ *"* ‘ ’ - r predicate, the reft are of courfe to be removed; or if aH the predicates but one are remoyed, that one necef¬ farily takes place. Thus, iu . the example given a- bove ; if we allow the world to be the work of fome wife and powerful caufe, we of courfe deny it to be felf-exiftent; or if we deny it to be felf-exiftent, we mull neceflarily admit tlmt it was produced by fome wife and powerful caufe. Now this particular man¬ ner of linking the predicates togethei, fo that the eftablifhing one difplaces all the reft; or the ex¬ cluding all but one neceffarily eftabliihes that one ; cannot otherwife be effedted than by means of dif- C c junflive fame time apparent that it may.be refolved into four diftindt propofitions. Riches are apt to elate the mind. Riches are apt to increafe the number of our defires. And fo of’honours. The proper H. Logicians have divided thefe compound piopo- notion of a fitions into a great many different claffes ; but, in our compound opinion, not with a due regard ,to their proper defi- propofitii.n nition. Thus - conditionals, caufals, relatives, &c. are a certamed. nijentjone^ as many diftmdl fpecies of this kind, though in fadt they are no more than fimple propo¬ fitions. To give an inftance of a conditional; If a Jlqne is expofed to the rays of the fun, it will contraB Vol. X. Part L 202 LOGIC. Part II. jmBlve particles. And hence it is that proportions of this clafs take their names from thefe particles which make fo neceflary a part of them, and indeed eonftitute their very nature confidered as a diftinft fpecies. Chap VI. Of the Divifton of Propoftions into Self- evident and Demonftrable- Propofiti- WH£N any propofition is offered to the view of cns divided the mind, if the terms in which it is expreffed be into felf- underftood ; upon comparing the ideas together, the ®v^en^arK* agreement or difagreement afferted is either immedi- 1 ately perceived, or found to lie beyond the prefent J reach of the underftanding. In the firft: cafe the pro¬ pofition is faid to be ftf-evident, and admits not of any proof, becaufe a bare attention to the ideas them- felves produces full conviction and certainty; nor is it pofiible to call in any thing more evident by way of confirmation. But where the connexion or repug¬ nance comes not fo readily under the infpeftion of the mind, there we muff have recourfe to reafoning; and if by a clear feries of proofs we can make out the truth propofed, infomuch that felf-evidence ffiall ac¬ company every ftep of the procedure, we are then able to demonftrate what we affert, and the propofi¬ tion itfelf is faid to be demonfrable. When we affirm, for inflance, that it is impoffible for the fame thing to be and not to be; whoever underftands the terms made ufe of perceives at firft glance the truth of what is af¬ ferted, nor can he by any efforts bring himfelf to be¬ lieve the contrary. The propofition therefore is felf- evident, and fuch that it is impoffioble by reafoning to make it plainer; becaufe there is no truth more ob¬ vious or better known, from which as a confequence it may be deduced. But if we fay, This world had a beginning; the affertion is indeed equally true, but fhines not forth with the fame degree of evidence. We find great difficulty in conceiving how the world could be made out of nothing: and are not brought to a free and full confent, until by reafoning we ar¬ rive at a clear view of the abfurdity involved in the contrary fuppofition. Hence this propofition is of the kind we call demonjlrable, inafmuch as its truth is not immediately perceived by the mind, but yet may be made appear by means of others more known and obvious, whence it follows as an unavoidable confe¬ quence. II. From what has been faid, it appears, that reafon¬ ing is employed only about demonftrable propofitions, and that our intuitive and felf-evident perceptions are the ultimate foundation on which it refts. Self evi HI. Self-evident propofitions furnifh the firft prin- cent truths ciples of feafoning; and it is certain, that if in our the firft refearches we employ only fuch principles as have ptincii les this chara&er of felf-evidence, and apply them accord- <>f rtafon- jng to the rules to be afterwards explained, we ffiall be in no danger of error in advancing from one dif- covery to another. For this we may appeal to the writings of the mathematicians, which being conduct¬ ed by the exprefs model here mentioned, are an incon- teftable proof of the firmnefs and liability of human knowledge, when built upon fo fure a foundation. For not only have the propofitions of this fcience ftood the left of ages ; but are found attended with that invinci¬ ble evidence, as forces the affent of all who duly con- fider the proofs upon which they are eftabbflied. Since the mathematicians are univerfally allowed to have hit upon the right method of arriving at unknown truths, fince they have been the happieft in the choice as well as the application of their principles, it may not be amifs to explain here their-method of ftating felf-evident pro¬ pofitions, and applying them to the purpofes of demon- ftration. IV. Firft then it is to be obferved, that they have Definitions been very careful in afcertaining their ideas, and fix-1 ing the fignfication of their terms. For this purpofc they begin with definitions, in which the meaning of a-d ev;_ their words is fo diftinctly explained, that they can- dence in not fail to excite in the mind of an attentive reader knowledge, the very fame ideas as are annexed to them by the writer. And indeed the clearnefs and irrefiftible evi¬ dence of mathematical knowledge is owing to nothing fo much as this care in laying the foundation. Where the relation between any two ideas is accurately and juftly traced, it will not be difficult for another to com¬ prehend that relation, if in fetting himfelf to difcover' it he brings the very fame ideas into comparifon. But if, on the contrary, he affixes to his words ideas dif¬ ferent from thofe that were in the mind of him who firft advanced the demonftration ; it is evident, that as the fame ideas are not compared, the fame relation can¬ not fubfift, infomuch that a propofition will be rejected as fal e, which, had the terms been rightly underftood, muft have appeared inconteftably true. A fquare, for inftance, is a figure bounded by four equal right lines, joined together at right angles. Here the nature of the angles makes no lefs a part of the idea than the equa¬ lity of the fides ; and many properties demonftrated of the fquare flow entirely from its being a reftangular figure. If therefore we fuppofe a man, who has form¬ ed a partial notion of a fquare, comprehending only the equality of its fides, without regard to the angles, reading fome demonftration that implies alfo this latter confideration ; it is plain he would reject it as not uni¬ verfally true, inafmuch as it could not be applied where the fides were joined together at equal angles. For this laft figure, anfwering ftill to his idea of a fquare, would be yet found without the property affigned to it in the propofition. But if he comes af¬ terwards to corrredt his notion, and render his idea complete, he will then readily own the truth and juft- nefs of the demonftration. V. We fee, therefore, that nothing contributes fo Mathtma- much to the improvement and certainty of human t,aa:'s>. by knowledge, as the having determinate ideas, and keeping them fteady and invariable in all our dif- procure a courfes and reafonings about them. And on this ac-ready re¬ count it is, that mathematicians, as was before obferved, c®P^on always begin by defining their terms, and diftin&ly un-Jj^^ folding the notions they are intended to exprefs. vance. Hence fuch as apply themfelves to thefe ftudies have exactly the fame views of things; and, bringing al¬ ways the very fame ideas into comparifon, readily dif- cern the relations between them. It is likewife of importance, in every demonftration, to exprefs the fame idea invariably by the fame word. From this practice mathematicians never deviate ; and if it be neceffary in their demonftrations, where the reader’s comprehenfion is aided by a diogram, it is much more fo in all reafon- ings about moral or intellectual truths where the ideas cannot 203 Part II. 53 The efla- blifhinj; of principles, the fecond flcp in ma¬ thematical knowledge. 54 Propofiti- ons divided into fpecu- lative and practical. cannot be reprefented by a diagram, of this rule may fometimes be productive of ill-found¬ ing periods; but when truth is the objeft, found ought to be defpifed. VI. When the mathematicians have taken this firft ftep, and made known the ideas whofe relations they intend to inveftigate ; their next care is, to lay down fome felf-evident truths, which may ferve as a founda¬ tion for their future reafonings. And here indeed they proceed with remarkable circumfpe&ion, admit¬ ting no principles but what flow immediately from their definitions, and neceflarily force themfelves upon a mind in any degree attentive to its ideas. Thus a circle is a figure formed by a right line moving round fome fixed point in the fame plane. The fixed point round which the line is fuppofed to move, and where one of its extremities terminates, is called the centre of the circle. The other extremity, which is conceived to be carried round until it returns to the point whence it firft fet out, defcribes a curve running into itfelf, and termed the circumference. AH right lines drawn from the centre to the circumference are called radii. From thefe definitions compared, geometricians derive this felf-evident truth; that the radii of the fame circle are all equal to one another. VII. We now obferve, that in all propofitions we either affirm or deny fome property of the idea that conftitutes the fubjeCt of our judgment, or we maintain that fomething may be done or effected. The firft/ort are called fpeculalive propofitions, as in the example mentioned above, the radii of the fame circle are all equal one to another. The others are called pradical, for a reafon too obvious to be mentioned ; thus, float a right LOGIC. The obfervation kind, and is treated as fueh by geometrical writer#. Thus, to draw a right line from one point to another, is aflumed by Euclid as a poftulate, becaufe the manner of doing it is fo obvious, as to require no previous teaching. But then it is not equally evident, how we are to conftruft an equilateral triangle. For this rea¬ fon he advances it as a demonftrable propofition, lays down rules for the exa& performance, and at the fame time proves, that if thefe rules are followed, the figure will be juftly defcribed. ^ IX. This leads us to take notice, that as felf-evident And Je- truths are diftinguiffied into different kinds, according tnonftrable as they are fpeculative or pradical; fo is it alfo witk ProPoCtl' demonftrable propofitions. A demonftrable fpecula- the0rems tive propofition is by mathematicians called a theorem, and pro^ Such is the famous 47th propofition of the firft book bkms. of the elements, known by the name of the Pythago- ric theorem, from its fuppofed inventor Pythagoras, viz. “ that in every right-angled triangle, the fquare defcribed upon the fide fubtending the right-angle is equal to both the fquares defcribed upon the fides containing the right-angle.” On the other hand, a demonftrable pradical propafition is called a problem ; as where Euclid teaches us to defcribe a fquare upon a given right-line. ^ X. It may not be amifs to add, that, befides the Cc rclUries four kinds of propofitions already mentioned, mathe- rc obvious maticians have alfo a fifth, known by the name of^^^®"* corollaries. Thefe are ufually fubjoined to theorems or reiris or problems, and differ from them only in this ; that they problems, flow from what is there demonftrated in fo obvious a manner as to difeover their dependence upon the pro¬ pofition whence they are deduced, almoft as foon as line may be drawn from one ^oint to another is a pradical propofed. Thus Euclid having demonftrated, “that 55 Hence ma¬ thematical principle* diftinguilh- ed imoaxi- propofition; inafmuch as it expreffes that fomething may be done. VIII. From this twofold confiderationof propofitions arifes the twofold divifion of mathematical principles into axioms and poftulates. By an axiom they un- derftand any felf-evident fpeculative truth ; as, That the whole is greater than its parts : That things equal to one and the fame thing are equal to one another. But a felf- evident pradical propofition is what they call a pqftu~ late. Such are thofe of Euclid ; that a fnite right line may by continued direSly forwards ; that a circle may be defcribed about any centre with any di/lance. And here we are to obferve, that as in an axiom the agreement or difagreemeent between the fubjed and predicate muft come under the immediate infpedion of the in every right-lined triangle all the three angles taken together are equal to two right-angles;” adds by way of corollary, “ that all the three angles of any one triangle taken together are equal to all the three angles of any other triangle taken togetherwhich is evident at firft fight; becaufe in all cafes they are equal to two right ones, and things equal to one and the fame thing are equal to one another. .g XL The fcholia of mathematicians are indifferently Scholia annexed to definitions, propofitions, or corollaries ; krve the and anfwer the fame purpoCes as annotations upon a j^Dtation* claffic author. For in them occafion is taken to explain “rTcom- whatever may appear intricate and obfeure in a train of ment. reafoning; to anfwer objedions; to teach the applica¬ tion and ufes of propofitions; to lay open the original mind; fo in a poftulate, not only the poffibility of and hiftory of the feveral difeoveries made in the fei- the thing afferted muft be evident at firft view, but alfo the manner in which it may be effeded. For where this manner is not of itfelf apparent, the pro¬ pofition comes under the notion of the demonftrable ence ; and, in a word, to acquaint us with all fuch par¬ ticulars as deferve to be known, whether confidered as points of curiofity or profit. Part III. OfREASONIN G. £hap . I. Of Reafoning in general, and the Parts of fo/ Jr!ftanc;’ 7 fontpare two figures of a d J J l-l ■ ra ferent make, in order to judge of their equality or 1 whic it conjij s. equality, it is plain, that by barely confidering the "When, for inftance, we compare two figures of a dif- „ 59 . , • 0 v. . Remotere» f ?r ‘^lationsdif- w me fi- covered by IT often happens in comparing ideas together, that gures themfelves, we cannot arrive at an exad deter- means of their agreement or difagreement cannot be difeern- mination ; becaufe, by feafon of their difagreeing forms, » cd at firft view, efpecially if they are of fuch a nature as it is impoffible fo to put them together, as that their fe- ate 1 not to admit of an exad application one to another, veral parts fliall mutually coincide. Here then it be- C c a comes 2®4 LOGIC. ParcIIL comes neceflary to look out for fome third idea that wherever there is this ability of diftinguifhing good will admit of fuch an application as the prefent cafe re- from bad adtions, and of purfuing the one and avoid- quires ; wherein if we fucceed, all difficulties vaniffi, ing the other, there alfo a creature is accountable. We and the relation we are in quell of may be traced with have then got a third idea, with which accountable- eafe. Thus right-lined figures are all reduced to nefs is infeparably connedled, viz. reafon and liberty ; truth ter¬ med rea- foiiing. ing and a lyllogifir. fquares, by means of which we can meafure their areas, which are here to be conlidered as making up one and determine exadlly their agreement or difagreement complex conception. Let us now take this middle in point of magnitude. idea, and compare it with the other term in the que¬ ll. But how can any third idea ferve to difeover a ftion, viz. man, and we all know by experience that it ■ relation between two others ? The anfwer is, By be- may be affirmed of him. s Having thus by means of ing compared feverally with thefe others; for fuch a the intermediate idea formed two feveral judgments, comparifon enables us to fee how far the ideas with viz. that man is ptjfejfed of reafon and liberty; and that which this third is compared are connedled or disjoin- reafon and liberty imply accountablenefs ; a third obvi- ed between themfelves. In the example mentioned oully and necefiarily follows, viz. that man is accountable above of two right-lined figures, if we compare each of for his aSions. Here then we have a complete act them with fome fquare whofe area is known, and find of reafoning, in which, according to what has been the one exactly equal to it, and the other lefs by. a already obferved, there are three diftindl judgments; iquare inch, we immediately conclude that the area of two that may be ftyled previous', inafmuch as they lead the firft figure is a fquare inch greater than that of the to the other, and arife from comparing . the middle fecond. This manner of determining the relation be- idea with the two ideas in the queftion : the third is a tween any two ideas, by the intervention of fome confequence of thefe previous acts, and flows from third with which they may be compared, is that which combining the extreme ideas between themfelves. If we call reafoning; and is indeed the chief inllrument now we put this reafoning into words, it exhibits what by which we pufh on our difeoveries, and enlarge our logicians term a fyllogifm ; and, when propofed in due knowledge. The great art lies in finding out fuch in- form, runs thus : termediate ideas, as, when compared with the others in “ Every creature poflefled of reafon and liberty is ac- the queftion, will furnifh evident and known truths ; countable for his actions. becaufe, as will afterwards appear, it is only by means of “ Man is a creature poflefled of reafon and liberty: them that we arrive at the knowledge of what is hid- Therefore man is accountable for his actions.” , den and remote. V. In this fyllogifm we may obferve, that there are prermies, III. Hence it appears, that every aft of reafoning three feveral propofitions exprefiing the three judge- conclufion, neceflarily includes three diftinft judgments; two ments implied in the aft of reafoning ; and fo difpofed, ^.^emes, t wherein the ideas whofe relation we want to difeover as to reprefent diftinftly what pafles within the mind inte*m are feverally compared with the middle idea, and a tracing the more diftant relations of its ideas. The two third wherein they are themfelves connefted or disjoin- firft propofitions anfwer the two previous judgments ed, according to the refult of that comparifon. Now, in reafoning, and are called the premifes, becaufe they as in the fecond part of logic our judgments, when put are placed before the other. The third is termed the , into words, were called propofitions, fo here in the conclufion, as being gained in confequence of what was third part the expreffions of our reafonings are termed aflerted in the premifes. We are alfo to remember, fyllogifms. And hence it follows, that as every aft of that the terms expreffing the two ideas whofe rela- reafoning implies three feveral judgments, fo every fyl- tions we enquire after, as here man and accountable- logifm muft include three diftinft propofitions. When nefs, are in general called the extremes ; and that the a reafoning is thus put into words, and appears in form intermediate idea, by means of which the relation is of a fyllogifin, the intermediate idea made ufe of, to traced, viz. a creature poffeffed of reafon and liberty, difeover the agreement or difagreement we fearch for, takes the name of the middle term. Hence it follow s, is called the middle term ; and the two ideas themfelves, that by the premifes of a fyllogifm we are always to w ith which this third is compared, go by the name of underftand the two propofitions where the middle term the extremes. is feverally compared w'ith the extremes ; for thefe con- IV. But as thefe things are bell illuftrated by ex- ftitute the previous judgments, whence the truth we ic"amples; let us, for inftance, fet ourfelves to inquire are in quell of is by reafoning deduced. The conclu- whether men are accountable for their actions. As the fion is that other proposition, in which the extremes relation between the ideas of man and accoi^ntablenefs ■ themfelves are joined or feparated agreeably to what comes not within the immediate view of the mind, appears upon the above comparifon. ^ our firft care muft be ta find out fome third idea that VI. The conclufion is made up of the extreme terms Major and will enable us the more eafily to difeover and trace it. of the fyllogifm : and the extreme, w hich ferves as the minor A very fmall meafure of refteftion is fufficient to in- predicate of the conclufion, goes by the name of the form us, that no creature can be accountable for his major term : the other extreme, which makes the fub-rop’‘ aftions, unlefs we fuppofe him capable of diftinguilh- jeft in the fame propofition, is called the minor term, ; IU ing the good from the bad ; that is, unlefs we fuppofe From this diftinftion of the extremes ariles alfo a di- him poflefied of reafon. Nor is this alone fufficient. ftinftion between the premifes, where thefe extremes For what would it avail him to know good from bad are feverally compared with the middle term. That aftions, if he had no freedom of choice, nor could a- propofition which compares the greater extreme, or void the one and purfue the other ? hence it becomes the predicate of the conclufion, with the middle term, neceflary to take in both confiderations in the prefent is called the major propoftion: the other, wherein the cafe. It is at the fame time equally apparent, that fame middle term is compared with the fubjeft of the 5 conclufioa 205 Part III. LOGIC. conclufion or lefTer extreme, is called the minor propo- Jition. All this is obvious from the fyllogifm already- given, where the conclufion is, Man is accountable for his afiions. For here the predicate accountable for his aSions, being connefted with the middle term in the firft of the two premifes, every creature pojfejjed of rca- fon and liberty is accountable for his actions, gives what we call the major propcfition. In the fecond of the premifes, man is a creature poffeffed of reafon and liberty, we find the lefier extreme, or fubjeft of the conclu¬ fion, viz. man, connefted with the fame middle term, whence it is known to be the minor propoUticn. When a fyllogifm is propofed in due form, the major propo- fition is always placed firft, the minor next, and the , conclufion laft. Irafmg!e VII. Thefe things premifed, we may in the gene- adt of rea- ral define reafoning to be an aft or operation of the foning the mind, deducing feme unknown propofition from other niuftbe*in- Prcv’ous ones are evident and known. Thefe tuime previous propofitions, in a fimple aft of reafoning, are truths. only two in number ; and it is always required that they be of themfelves apparent to the underftanding, infomuch that we aflent to and perceive the truth of them as foon as propofed. In the fyllogifm given above, the premifes are fuppofed to be felf-evident truths ; otherwife the conclufion could not be inferred by a tingle aft of reafoning. If, for inftance, in the major, every creature pojfejfed of reafon and liberty is ac¬ countable for his aBions, the conneftion between the fubjeft and predicate could not be perceived by a bare attention to the- ideas themfelves; it is evident that this propofition would no lefs require a proof than the conclufion deduced from it. In this cafe a new middle term mull be fought for, to trace the conneftion here fuppofed; and this of courfe furnifhes another fyllo- gifm, by which having etlablithed the propofition in queltion, we are then* and, not before, at liberty to ufe it in any fucceeding train of 'reafoning. And thould it fo happen, that in this fecond etfay there was ttill fome previous propoiition whofe truth did not ap¬ pear at firll fight, we mull then have recourfe to a third fyllogifm, in order to lay open that truth to the mind : becaufe fo long as the premifes remain uncer¬ tain, the conclufion built upon them mull be fb too. When, by condufting our thoughts in this manner, we at laft arrive at fome fyllogifm where the previ¬ ous propofitions are intuitive truths ; the mind then retls in full fecurity, as perceiving that the feveral con- clufions it has palled through Hand upon the immove¬ able foundation of felf-evidence, and when traced to their fource terminate in it. (d\ VIII. We fee, therefore, that in order to infer a kiethe^'i1^i-corlc^u^lon k}' a fingk aft of reafoning, the premifes eft extm'e mull be intuitive propofitions. Where they are not, ofit,on!ya previous fyllogifms are required ; in which cafe rea- coflcatena- foning becomes a complicated aft, taking in a variety logifms ^ fuccelhve Heps. This frequently happens in tra¬ cing the more remote relation of our ideas; where, many middle terms being called in, the conclufion can¬ not be made out but in confequence of a feries of fyl¬ logifms following one another in train. But although in this concatenation of propofitions, thofe that form the premifes of the laft fyllogifm are often confide- rably removed from felf-evidence ; yet if we trace the reafoning backwards, we ftiall find them the cbnclufions of previous fyllogifms, whofe premifes approach nearer and nearer to intuition in proportion as we advance, and are found at laft to terminate in it. And if, af¬ ter having thus unravelled a demonftration, we take it the contrary way ; and obferve how the mind,- fetting out with intuitive perceptions, couples them together to form a conclufion; how, by introducing this con¬ clufion into another fyllogifm, it ilill advances one ftep farther ; and fo proceeds, making every new dif- covery fubfervient to its future progrefs ; we (hall then perceive clearly, that reafoning, in the hjgheft fenfe of that faculty, is no more than an orderly com¬ bination of thofe fimple afts which we have already fo fully explained. 6-j IX. Thus we fee, that reafoning, beginning with Squires firft principles, rifes gradually from one judgement to ^ another, and connefts them in fuch manner, that every every ftep ftage of the progreffion.brings intuitive certainty along of the pro- with it. And now at length we may clearly under- grelfion. Hand the definition given above of this diftinguilhing faculty of the human mind. Reafon, we have faid, is the ability of deducing unknown truths from principles or propofitions that are already known. This evi¬ dently appears by the foregoing account, where we fee that no propofition is admitted into a fyllogifm, to ferve as one of the previous judgments on which the conclufion refts, unlefs it is itfelf a known and efta- blifhed truth, whofe conneftion with felf-evident prin¬ ciples has been already traced. Chap. II. Of the feveral hinds of Reafoning ; and firfl, of that by -which we determine the Genera and Species of Things. I. All the aims of human reafon may in the general Reafoning be reduced to thefe two: I. To rank things under twofold, thofe univerfal ideas to which they truly belong ; and, Z. To aferibe to them their feveral attributes and pro¬ perties in confequence of that diftribution. ^ II. One great aim of human reafon is to determine The firft the genera and fpecies of things. We have feen in re- the Firft Part of this treatife, how tlie mind proceeds in framing general ideas f. We have alfo feen in the f^ecieil 0f Second Part, how by means of thefe general ideas we thin^. come by univerfal propofitions. Now as in thefe uni- 1 See Faot- verfal propofitions we affirm fome property of a ge- "9te’ P- nus or fpecies, it is plain that we cannot apply this property to particular objefts till we have firft deter¬ mined whether they are comprehended under that ge¬ neral idea of which the property is affirmed. Thus there are certain properties belonging to all even num¬ bers, which neverthelefs cannot be applied to any par¬ ticular number, until rte have firft difeoyered it to be of the fpecies exprefted by that natural name. Hence reafoning begins with referring things to their feve¬ ral divilions and daffes in the fcale of our ideas ; and as thefe divifions are all diftinguilhed by particular names, we hereby learn to apply the terms expreffing general conceptions to fuch particular objefts as come under our immediate obfervation. III. Now, in order to arrive at thefe conclufions, by The ftepa which the feveral objefts.of perception are brought un- by which der general names, two things are manifeftly necef-we arnve fary. Firft, that we take a view of the idea itfelf^ denoted by that general name, and carefully attend to porU the ‘ L O -the diilingutflung marks which ferve to charafterize it. Secondly, that we compare this idea with the -objeft under confideration, obferving diligently where¬ in they agree or differ. If the idea is found to corre- fpond with the particular objeft, we then without he- fitation apply the general name ; but if no fuch corre- fpondence intervenes, the conclufion muft. neceflarily take a contrary turn. Let us, for inftance, take the number eight, and confider by what Heps we are led to pronounce it an even number. Firft then, we call to mind the idea fignified by the expreflion an even number, viz. that it is a number divifible into two equal parts. We then compare this idea with the number eight, and, finding them manifeftly to agree, fee at once the neceflity of admitting the conclufion. Thefe feveral judgments therefore transferred into language, and reduced to the form of a fyllogifm, appear thus: “ Every number that may be divided into two “ equal parts is an even number : “ The number eight may be divided into two equal “ parts; “ Therefore the number eight is an even number.’' Thole fteps IV. Here it may be obferved, that where the ge- slways fol- neral idea, to which particular obje&s are referred, is lowed, tho’ very familiar to the mind, and frequently in view ; cafeTwe do reference, and the application of the general not always name> feem to be made without any apparatus of rea- attend to foning. When we fee a horfe in the fields, or a dog them. in the llreet, we readily apply the name of the fpe- cies ; habit, and a familiar acquaintance with the ge¬ neral idea, fuggefting it inftantaneoully to the mind. We are not however to imagine on this account that the underftanding departs from the ufual rules of jult thinking. A frequent repetition of ails begets a ha¬ bit ; and habits are attended with a certain prompt- nefs of execution, that prevents our obferving the fe¬ veral fteps and gradations by which any courfe of ac¬ tion is accomplilhed. But in other inftances, where we judge not by precontracted habits, as when the general idea is very complex, or lefs familiar to the mind, we always proceed according to the form of reafoning eftablilhed above. A goldfmith, for in¬ ftance, who is in doubt as to any piece of metal, whe¬ ther it be of the fpecies called gold, firft examines its properties, and then comparing them with the gene¬ ral idea fignified by that name, if he finds a perfeft correfpondence, no longer hefitates under what clafs of metals to rank it. V. Nor let it be imagined that our refearches here, The great becaufe in appearance bounded to the impofing of ge- importance neral names upon particular objetts, are therefore tri- brarch of v'a^ annmg of ral idea or clafs of things. We then recolledl the fe. |'“umon veral attributes of that general idea. And, laftly, a- feribe all thefe attributes to the prefent objedl. Thus, in confidering the charadler of Sempronius, if we find it to be of the kind called virtuous, when we at the fame time refleft that a virtuous charadler is defer- ving of efteem, it naturally and obvioufly follows that Sempronius is fo too. Thefe thoughts put into a fyl- logifm, in order to exhibit the form of reafoning here required, run thus: “ Every virtuous man is worthy of efteem. “ Sempronius is a virtuous man : “ Therefore Sempronius is worthy of efteem.” III. By this fyllogifm it appears, that before we af-y},e ^n, firm any thing of a particular objedl, that object muftneition and be referred to fome general idea. Sempronius is- pro- dependence nounced worthy of efteem only in confequence of his tflj 5W0 being a virtuous man, or coming under that general,hes of rea- notion. Hence we fee the neceflary connection of timing one the various parts of reafoning, and the dependence ui’)n ano' they have one upon another. The determining thet ler‘ genera and fpecies of tilings is, as we have faid, one exercife of human reafon ; and here we find that this exercife is the firft in order, and previous to the o- ther, which confifts in afcribing to them their powers, properties, and relations. But when we have taken this previous ftep, and brought particular objects un¬ der general names ; as the properties we aferibe to them are no other than thefe of the general idea, it is plain that, in order to a fuccefsful progrefs in this part of knowledge, we muft thoroughly acquaint ourfelves with the feveral relations and attributes of thefe our general ideas. When this is done, the other part will be eafy, and requires fcarce any labour or thought,, as being no more than an application of the general form of reafoning reprefented in the foregoing fyllo¬ gifm. Now, as we have already fufficiently fhowii' how we are to proceed in determining the genera and fpecies of things, which, as we have faid, is the previous fttp to this fecond branch of human know¬ ledge ; all that is farther wanting towards a due ex¬ planation of it is, to offer fome confiderations as to- the manner of inveftigating the general relations of our ideas. This is the higheft exercife of the powers- of the underftanding, and that by means whereof we arrive at the difeovery of univerfal truths; infomuch that our deductions in this way conftitute that particu¬ lar fpecies of reafoning which we have Before faid re¬ gards principally the fciences. yg IV. But that we may cond 11 fl our thoughts with Two things, fome order and method, we fhall begin with obfer-r- antecedent muft always contain fome cer¬ tain and genuine condition, which neceflarily implies the confequent ; for otherwife the propofition itfelf will be falfe, and therefore ought not to be admitted Part HI. Bnt if now we on the contrary fuppofe that the mi-. nor rejects the confequent, then it is apparent that the conclufion muft alfo rejeft the antecedent. In this cafe w.e are faid to argue from the removal of the con¬ fequent to the removal of the antecedent, and the par¬ ticular mood or fpecies of fyllogifms thence arifing is called by logicians the modus tollens; becaufe in it both antecedent and confequent are rejefted or taken away, as appears'by the following example. “ If God were not a Being of infinite goodnefs, “ neither would he confult the happinefs of his “ creatures: “ But God does confult the happinefs of his crea- “ tures: “ Therefore he is a being of infinite goodnefs. VII. Thefe two fpecies take in the whole clafs of They in¬ conditional fyllogifms, and include all the poffible ways ciude at! of arguing that lead to a legitimate conclufion ; be-t!le leijiti- caufe we cannot here proceed by a contrary procefs of reafoning, that is, from the removal of the ante¬ cedent to the removal of the confequent, or from the eftablifhing of the confequent to the eftablifhing of the antecedent. For although the antecedent always ex- prefles fome real condition, which, once admitted, neceffarily implies the confequent, yet it does not fol¬ low that there is therefore no other condition ; and if fo, then, after removing the antecedent, the confe¬ quent may ftill hold, becaufe of fome other determi¬ nation that infers it. When we fay, /faJlon into our reafonings. Hence it follows, that when any pofed fome time to the rays of the fun, it will contraB a conditional propofition is aflumed, if we admit the antecedent of that propofition, we muft at the fame time neceffarily admit the confequent; but if we re¬ ject the confequent, we are in like manner bound to rejett the antecedent. For as the antecedent always txpreffes fome condition which neceffarily implies the truth of the confequent; by admitting the antecedent, we allow of that condition, and therefore ought alfo to admit the confequent. In like manner, if it appears certain degree of heat; the propofition is certainly true; and, admitting the antecedent, we muft alfo admit the confequent. But as there are other ways by which a ftone may gather heat, it will not follow, from the ceafing of the before-mentioned condition, that therefore the confequent cannot take place. In other wofds, we cannot argue : But the Jlone has not been expofed to the rays of the fun ; therefore neither has it any degree of heat: Inafmuch as there are a great that the consequent ought to be rejected, the antece- many other ways by which heat might have Been *9 The tv mood- of dent evidently muft be fo too ; becaufe, as was juft now demonftrated, the admitting of the antecedent would neceffarily imply the admiffion alfo of the confequent. VI. There are two ways of arguing in hypothetical fyllogifms, which lead to a certain and unavoidable con- eonditional cluflon. For as the major is always a conditional pro- y ogifms. p0fition> confifting of an antecedent and a confequent; if the minor admits the antecedent, it is plain that the conclufion muft admit the confequent. This is called arguing from the admiffi n of the antecedent to the admiffion. of the confequent, and conftitutes that mood or fpecies of hypothetical fyllogifms which is diftin- guiftied in the fchools by the name of the modus ponens, inafmuch as by it the whole conditional propofition, both antecedent and ccmfequent, is eftablilhed. Thus: “ If God is infinitely wife, and a&s with perfect “ freedom, he does nothing but what is heft: “But God is infinitely wife, and a Sis with per- “ feSt freedom “ Therefore he does nothing but what is beft.,, Here we fee the antecedent or firft part of the con¬ ditional propofition is eftabliftied in the minor, and the confequent or fecond part in the conclufion; whence the fyllogifm itfelf is an example of the modus ponens* communicated to it. And if we cannot argue from the removal of the antecedent to the removal of the confequent, no more can we from the admiffion of the confequent to the admiffion of the antecedent: becaufe, as the confequent may flow from a great va¬ riety of different fuppofitions, the allowing of it does not determine the precife fuppofition, but only that fome one of them muft take place. Thus in the forego^ ing propofition, If aJlone is expofedfome time to the rays of the fun, it will contraB a certain degree of heat; admitting the confequent, viz. that it has contraBed a certain de¬ gree of heat, we are not therefore bound to admit the antecedent, that it has been fome time expofed to the rays of the fun; becaufe there are many other caufes whence that heat may have proceeded. Thefe two ways of arguing, therefore, hold not in conditional fyllogifms. VIII. As-from the major’s being a conditional pro- ph/man- pofition, we obtain the fpecies of conditional fyllo-ner 0far. gifms; fo, where it is a.disjunctive propofition, thegaingin fyllogifm to which it belongs is alfo called disjunBive, diqau&ive as in the following Example : iyUogilms. “ The world is either felf-exiftent, or the work “ of fome finite, or of fome infinite Being : “ But Part HI. L O “ But it is not felf-exiftent, n«r the work of a fi- “ nite being : “ Therefore it is the work of an infinite Being.” Now, a disjun&ive propofition is that, where of fe- veral predicates, we affirm one necefTarily to belong to the fubjeft, to the exclufion of all the reft, but leave that particular one undetermined. Hence it follows, that as foon as we determine the particular predicate, all the reft are of courfe to be rejefted ; or if we rejeft all the predicates but one, that one necef- farily takes place. When, therefore, in a disjunftive fyllogifm, the feveral predicates are enumerated in the major ; if the minor eftablifhes any one of thefe pre¬ dicates, the conclufion ought to remove all the reft ; or if, in the minor, all the predicates but one are re¬ moved, the conclufion muft neceflarily eftablifh that one. Thus, in the disjundtive fyllogifm given above, the major affirms one of the three predicates to be¬ long to the earth, viz. fe/f-exi/lence, or that it is the •work of a finite, or that it is the work of an infinite Be¬ ing. Two of thefe predicates are removed in the minor, viz. fef-exiftence, and the work of a finite be¬ ing. Hence the conclufion neeefTarily afcribes to it the third predicate, and affirms that it is the work of an infinite Being. If now we give the fyllogifm another turn, infomuch that the minor may eftablifh one of the predicates, by affirming the earth to be the produeiion of an infinite Being: then the conclufion muft remove the other two, afierting it to be neither felfexifient, nor the work of a finite being. Thefe are the forms of reafoning in thefe fpecies of fyllogifms, the juftnefs of which appears at firft fight: and that there can be no other, is evident from the very nature of a disjunctive propofition. Imperfeft IX. In the feveral kinds of fyllogifms hitherto men- or mutila- tioned, we may obferve, that the parts are complete ; tedfylfo- that is, the three propofitions of which they confift are * 8‘ reprefented in form. But it often happens, that feme one of the premifes is not only an evident truth, but alfo familiar and in the minds of all men ; in which cafe it is ufually omitted, whereby we have an imperfeCt fyllogifm, that feems to be made up of only two pro¬ pofitions. Should we, for inftance, argue in this manner: “ Every man is mortal: “ Therefore every king is mortal the fyllogifm appears to be imperfeCt, as confifting but of two proportions. Yet it is really complete ; only the minor [every king is a man'] is omitted : and left to the reader to fupply, as being a propofition fo familiar and evident that it cannot efcape him. Enthyme- Thefe feemingly imperfeCt fyllogifms are called ®e». enthymemes; and occur very frequently in reafoning, efpecially where it makes a part of common conver- fation. Nay, there is a particular elegance in them, hecaufe, not difplaying the argument in all its parts, they leave fomewhat to the exercife and invention of the mind. By this means we are put upon exerting •urfelves, and feem to (hare in the difcovery of what is propofed to us. Now this is the great fecret of line writing, fo to frame and put together our thoughts, as to give full play to the reader’s imagination, and draw him infenfibly into our very views and courfe of reafoning. This gives a pleafure not unlike to that which the. author himfelf feels in compofing. It befidee G I C. 211 (hortens difcourfe, and adds a certain force and liveli- nefs to our arguments, when the words in which they are conveyed favour the natural quicknefs of the mind in its operations, and a Angle exprdfion is left to ex¬ hibit a whole train of thoughts. 9^ XI. But there is another fpecies of reafoning with Ground ot two propofitions, which feems to be complete in itfelf, rca/oninK and where we admit the conclufion without fuppofing n'fe- any tacit or fupprefled judgment in the mind, from quenccs. which it follows fyllogiftically. This happens between propofitions, where the connection is fuch, that the ad- miffion of the one neceffarilyand at the firft fight implies the admiffion alfo of the other. For if it fo falls out, that the prdpofition on which the other depends is felf-evident, we content ourfelves with barely affirm¬ ing it, and infer that other by a direCt conclufion. Thus, by admitting an univerfal propofition, we are forced alfo to admit of all the particular propofitions comprehended under it, this being the very condition that conftitutes a propofition univerfal. If then that univerfal propofition chances to be felf-evident, the particular ones follow of courfe, without any farther train of reafoning. Whoever allows, for inftance, that things equal to one and the fame thing are equal to one another, muft at the fame time allow, that two triangles, each equal to a fquare whofe fide is three inches, are alfo equal between themfielves. This argument therefore, “ Things equal to one and the fame thing, are equal “ to one another: “ Therefore thefe two triangles, each equal to the “ fquare of a line of three inches, are equal be- “ tween themfelves is complete in its kind, and contains all that is necef- fary towards a juft and legitimate conclufion. For the firft or univerfal propofition is felf-evident, and there¬ fore requires no farther proof. And as the truth of the particular is infeparably connected with that of the univerfal, it follows from it by an obvious and un¬ avoidable confequence. qj XII. Now, in all cafes of this kind, where propofi- All reduci- tions are deduced one from another, on account of a 11 le.to fy1- known and evident connection, we are faid to reafon ° by immediate confequence. Such a coherence of pro- form or Q„ pofitions manifeft at firft fight, and forcing itfelf upon cher. the mind, frequently occurs in reafoning. Logicians have explained at feme length the feveral fuppoiitions upon which it takes place, and allow of all immediate csnfequences that follow in conformity to them. It is however obfervable, that thefe arguments, though feemingly complete, becaufe the conclufion follows ne- ceffarily from the fingle propolition that goes before, may yet be confidered as- real enthymemes, whofe ma¬ jor, which is a conditional propofition, is wanting. The fyllogifm but juft mentioned, when reprefented accord¬ ing to this view, will run as follows : “ If things equal to one and the fame thing, are e- “ qual to one another ; thefe two triangles, each “ equal to a fquare whofe fide is three inches, “ are alfo equal between themfelves. “ But things equal to one and the fame thing, are “ equal to one another: “ Therefore alfo thefe triangles, &c. are equal be- “ tween themfelves.” This obfervation will be found to hold in all imme- D d a diate 212 L O G I C. Part 111* diale confequence* whatfoever, infomuch that they are of which is the afTcrtion to be difproved, and the con- in fail no more than enthymemes of hypothetical fyl- fequcnt a disjunclive propofition, enumerating all the logifms. But then it is particular to them, that the poffible fuppofitions upon which that afl'ertion can take ground on which the conclufion refts, namely its co- place. If then it appears, that all thefe feveral fup- herence with the minor, i$ of itfelf apparent, and pofitions ought to be reje&ed, it is plain, that the an- feen immediately to flow from the rules and reafons of tecedent or affertion itfelf mull be fo too. When 9& logic. therefore fiich a propofition as that before mentioned A forites of XIII. The next fpecies of reafoning we fhall take is made the major of any fyllogifm ; if the minor re- pliin fimple notice of here is what is commonly known by the name je&s all the fuppofitions contained in the confequent, j -Cgifms. a jiffos' This is a way of arguing, in which a it follows neceffarily, that the conclufion ought to re- great number of propofitions are fo linked together, jeft the antecedent, which, as we have fajd, is the. »hat the predicate of one becomes continually the fub- very affertion to be difproved. This particular wav jeft of the next following, until at laft a conclufion is of arguing is that which logicians call a dilemma ; and formed, by bringing together the fubjeft of the firft from the account here given of it, it appears that we propofition, and the predicate of the lalt. Of this kind is the following argument. “ God is omnipotent : *‘An omnipotent being can do every thing pollible: “ He that- can do every thing poffible, can do what- “ ever involves not. a contradi&ion: “ Therefore God can do whatever involves not a “ contradiction.” This particular combination of propofitions may be continued to any length we pleafe, without in the leaffi weakening the ground upon which the conclufion refts. The reafon, is, becaiife the forites- itfelf may be refol- ved into as many fimple fyllogifms as there are middle terms in it; where this is found univerfally to hold,, that when, fuch a refolu.lior\is made, and the fyllogifms are placed in train, the conclufion of the laft in the feries is alfo the conclufion of the forites. This kind of argument, therefore, as it ferves to unite feveraj fyllogifms into one, muft ftand upon the- fame founda¬ tion with the fyllogifms of which it confifts, and is in¬ deed, properly fpeak.ing, no other than a compendious way of reafoning fyllogiftically. may in the general define it to be a hypothetical fyl¬ logifm, where the confequent of the major is a dif~ junCtive propofition, which is wholly taken away or removed in the minor,. Of this kind is the follow- ing : “ If God did not create, the world perfect in its. “ kind, it muft either proceed from want of in-. “ clination, or from want of power: w But it could not proceed either from want of in-- “ clination, or from want of power: ,i Therefore, he created the. world perfeCl in its " kind.” Or, which is the fame thing: “ It is “ abfurd to fay that he did not create the world “ perfect in its kind.” XVI. The nature then of a dilemma is univerfally An ifniverv this. The major is a conditional propofition, whofe fal dcfcrip. Confequent contains all the feveral fuppofitions. upontion ll‘ which the antecedent can take place. As therefore thefe fuppofitions are wholly removed in the minor, it is evident that the antecedent muft be fo too ; info- much that we here always' argue from the removal of the confequent to the removal of the antecedent. That is, a dilemma is an argument in the modus tollens of A forites of XIV. What is here faid of plain fimple propofitions ^ hypotheti- may be as well applied, to thofe that are conditional; hypothetical fyllogifms, as, logicians love to fpeak, cal fyilo- that is, any number of them may be fo joined to- Hence it is plain, that if the antecedent of the major gums. gether in a feries, that the confequent of one fhall be- is an affirmative propofition, the conclufion of the di- come continually the antecedent of the next follow- lemma will be negative ; but if it is a negative pro,, ing ; in which cafe, by eftabliffiing the antecedent, of pofition, the conclufion will be affirmative, the firft propofition, we eftahliffi the confequent of the laft, or by removing the laft canfequent remove alfo the firft antecedent. This way of reafoning is ex¬ emplified in the following argument, “ If we love any perfon, all emotions of hatred to- “ wards hjm.ceafe :. “ It all emotions of hatred towards a perfon ceafe, “ w,e cannot rejoice in his misfortunes: u If we rejoice not. in his misfortunes, we certainly “ wiffi him no injury: _ ^ ^ “ Therefore,, if we love a perfon, w.e wifti him no The mathematician indeed may be confidered as taking “injury.” his ideas from thebeginning in their genet al form. Every It is evident that tins, forites/ as well as the laft, propofition compofed of fuch, ideas is therefore general j may be refolved into a feries of diftimft fyllogifms, ami thofe which are theoretic are reducible to two parts with this only difference, that here the fyllogifms are or terms, a predicate and a fubjed, with a copula gene- all conditional. rally affirmative, if the agreement or the relation be- 'i3 , XV. The laft fpecies of fyllogifm we fhall take tween the two terms be not immediate and felf-evident, argu°-Un not'ce in. this chapter is that commonly diftinguifh- he has.recourfe to an axiom, which is a propofition ftilf mentation ed by the name of a dilemma* A dilemma is an ar- more general, and which fupplies him with a third or in a dilem- gument by which, we endeavour to prove the abfur- middle term* This he compares firft with the predicate,. ms. ciity or falfehood of fome affertion, In order to this, and then with the fubjed, or vice vetfa. Thefe two • we affume a conditional propofition, the antecedent comparifons, when drawn out in form, make two pro- 6, pofitiensa Ch .4 p. V. Of InduElion. I'. All reafoning proceeds ultimately from firft Reafo°a» truths, either felf-evident or taken.foxgranted; and the firft em- firft truths of fyllogiftic reafonings are general propofi- ployed a- tions. But except in the mathematics, and fuch other t,.ouj Par'’ fciences as, being converfant'about mere ideas, havetlcUar5* no immediate relation to things without the mind, we cannot affume as truths propofitions which; are general. fart HI. L O pofitions, which are called the prcmifes ; and if they happen to be immediate and felf-evident, the conclujion, an(i rejecting all instances which, however fimilar in appearance, are not in effeft the fame, reason, with much labour and attention, extraCs fome general laws refpe&ing the powers, properties, qualities, aftions, paffions, virtues, and relations of real things. This is no hafty, premature, notional abftraction of the mind, by which images and ideas are formed that have no archetypes in nature : it is a rational, operative, expe¬ rimental procefs, inftituted and executed upon the con- ftitution of beings, which in part compofe the univerfe. By this procefs reason advances from particulars to generals, from lefs general to more general, till by a feries of flow progreffion, and by regular degrees-, it arrive at the moji general notions, called forms or formal Causes(c). And by affirming or denying a genus of -a fpecies, or an accident of a fubrftance or clafs of fub* fiances, through all the ftages of the gradation, we form G I C. 213 conchifions, which, if logically drawn, are axiom's fu) or general propofitions ranged one above another, till they terminate in thofe that are universal. I0l IV. “ Thus, for inftance, the evidence of the external The pro- fenfes is obvioufly the primary principle from which ,n' all phyfical knowledge is derived. But, whereas nature amplified** begins with caufes, which, after a variety of changes, ;n phjfic*. produce effeBs, the fenfes open upon the effeBs, and from them, through the flow and painful road of ex¬ periment and obfervation, afeend to caafcs. By expe¬ riments and olfervations fkilfully chofen, artfully con¬ duced, and judicioufly applied, the philofopher ad¬ vances from one ftage of inquiry to another in the ra¬ tional inveftigation of tk.e general caufes of phyfical truth. From different experiments and obfervations made on the fame individual fubjeft, and from the fame experi¬ ments and obfervations made on different fubjefts of the fame kind, by comparing and judging, he difeo- vers fome qualities, caufes, or phenomena, which, after carefully diilinguiftiingand rejecting all contradictory in- ftances that occur, he finds common to many. Thus, from many collateral comparifons and judgments formed upon particulars, he afeends to generals; and by a repe¬ tition of the fame induftrious procefs and laborious in¬ veftigation, he advances from general to more general,. till at laft he is enabled to form a few of the mojl gene¬ ral, with their attributes and operations, into axioms or fecondary principles, which are the well-founded laws enacted and enforced by the God of nature.—This is that juft and philofophic method of reafoning which found logic preferibes in this as well as in other parts of learning ; by which, through the flow but certain road of experiment and obfervation, live mind afeends from appearances to qualities, from effects to caufes, and from experiments upon many particular fubjeCts iorms general proportions concerning the powers and pro¬ perties of phyfical body. 103 V. “ Axioms fo inveftigated and eftabliflred are ap- Axioms, fo - plicable to all parts of learning, and are the indifpen-efta|?llI]1fc) (d)’ fable, and indeed the wonderful expedients, by which, in. every branch of knowledge, reafon puftres on its m-» of learning, quiries in the particular purfuit of truth : and tire me¬ thod: of reafoning by which they are formed, is that of true and legitimate induction ; which is therefore by Lord (c) Qui formas novit, is, qua; adhuc non fa£ta funt, qualia nec naturie viciffitudines, nec experimentales ihduftrise unquam in a£tum produxiffent, nec cogitationem humanam fuBitura: fuiffent,. detegit et educit. Ba- coni Nov. Org. (d) The word axiom- literally fignifies dignity : Hence it is ured metaphorically to denote a general truth or maxim, and fometimes any truth that is felf-eviden.t, which is called a dignity on account of its import ance in a procefs of reafoning. The axioms of Euclid are propofltions extremely general; and fo are the axioms of the Newtonian philofophy. But thefe two kinds of axioms have very different origins. The former appear true upon a bare contemplation of our ideas; whereas the latter are the refult of the moft laborious in-- auftion. Lord Bacon therefore ftrenuoufly contends that they ftiould never be taken upon conje&ure, or even upon the authority of the learned ; but that, as they are the general principles-and grounds of all learning, they fhould be canvaffed arid examined with the moft fcrupuloua attention, “ utaxioraatum corrigatur iniquitns, qua; plerumque in exemplis vulgaris fundamentum habentDe Augm. Sc. lib. ii. cap. 2. “ Atque ilia ipfa putativa principia ad rationes reddendas compellare decrevimus, quoufque plane conftantDifirib. 0peris. I)r Tatham makes a diftinftion between axioms intuitive and axioms fIf-evident. Intuitive -axioms, according to - him, pafs through the firft inlets of knowledge, and flafh direft conviction on the minds, as external objeds do cn the fenfes, of all men. Other axioms^though not intuitive, may be properly faid to be felf-evident; becaufe, in tlieir formation, reafon judges by fingle comparifons without the help of a third idea or middle term ; fo that' they have their evidence in themfelves, and though inductively framed they cannot be fyllogiftically grovri. if this diftinction he juft, and we think it is, only particular -truths can be intuitive axioms. 214 LOGIC. Part III. Lord Bacon, the bell and foundeft of logicians, called the key of interpretation. , VI. “ Inftead of taking his axioms arbitrarily out of the great families of the categories (fee Category), and creeling them by his own fophiftical invention in¬ to the principles upon which his difputation was to be employed, had the analytical genius of Ariftotle pre* fented us with the laws of the true inductive logic, by which axioms are philofophjcally formed, and had he with his ufual fagacity given us an example of it in a fingle branch of fcience ; he would have brought to the temple of truth an offering more valuable than he has done by the aggregate of all his logical and phi- j©4 lofophical productions. Fndmftion VII. “ In all fciences.,-except the mathematics, it is prior to only after the inductive procefs has been induftriouf- e m ion, jy purfue(j an(jfuccefsfully performed, that definition may be logically and ufefully introduced, by beginning with the genus, pafling through all the graduate and fub- ordinate ftages, and marking the fpecific difference as it de- feends, till it arrive at the individual, which is the fubjeCt of the queftion. And by adding an affirmation or ne¬ gation of the attribute of the genus on the /peeks or in- dividua', or of a general accident on the particular/i/^- Jlance fo defined, making the definition a propofition, the truth of the queftion will be logically folved with¬ out any farther procefs. So that inftead of being the JirJl, as employed by the logic in common ufe,, dffini- tion may be the lajl aft of reafon in the fearch of truth nos *n genera^ And to fyl- VIII. “ Thefe axioms or general propofitions, thus logifm. inductively eftablifhed, become another fpecies of prin¬ ciples, which may be properly called secondary, and which lay the foundation of the fyllogiftic method of reafoning. When thefe are formed, but not .before, we may fafely admit the maxim with which logicians fet out in the exercife of their art, as the great hinge on which their reafoning and difputation turn : From truths that are already known, to derive others which are not known- Or, to ftate it more comprehenfively, fo as to apply to probable as well as to fcientific reafon¬ ing—From truths which are better known, to derive others which are lefs known. Philofophically fpeaking, fyllo¬ giftic reafoning is, under general propofitions to reduce ethers which are lefs general or which are particular ; for the inferior ones are known t© be true, only as we trace their conneftisn with the fuperior. Logically (peaking, it is, To predicate a genus of a fpecies or in¬ dividual comprehended under it, or an accident of the Jubfance in which if is inherent. I®^ IX. “ Thus induction and syllogism are the and^yHo" two niethods of direEl reafoning correfponding to the gifm total- two kinds of principles, primary and fecondary, on which iy different, they are founded, and by which they are refpeclively condufted. In both methods, indeed, reafon proceeds hy judging and comparing, but the procefs is different throughout; and though it may have the fanftion of Ariftotle, an induttive fytlogifm is a folecilm. InduSIon “ Till general truths are afeertained by induc- the founds- tion, the third or middle terms by which fyllogifms are tion of fyl- logiini. made are no where fafely to be found. So that ano¬ ther pofition of the Stagyrite, that fyllogifm is naturally prior in order t» induction, is equally unfounded ; for indwdion does not only naturally but neceffarily precede fyllogifm ; and, except in mathematics, is in every re- fpeft indifpcnfable to its exiftence ; fince, till generals are ellabliftied, there can be neither defnitim, propofition, nor axiom, and of courfe no fyllogifm. And as induftion is the firft, fo is it the more effential and fundamental inftrument of reafoning: for as fyllogifm cannot pro¬ duce its own principles, it muft have them from induc¬ tion ; and if the general propofitions or fecondary principles be imperfeftly or infirmly eftablifhed, and much more if they be taken at hazard, upon authority, or by arbitrary affumption like thofe of Ariftotle, all the fyllogifing in the world is a vain and ufelefs logo¬ machy, only inftrumental to the multiplication of falfc learning, and to the invention and confirmation of error. The truth of fyllogifms depends ultimately on the truth of axioms, and the truth of axioms on the foundnefs of Iag induftions (e).”—But though induftion is prior in'why we order, as well as fuperior in utility, to fyllogifm, we have have treat-1 thought it expedient to treat of it laft ; both becaufe cc3 fy1- fyllogifm is an eafier exercife of the reafoning faculty loglfm than induftion, and becaufe it is the method of mathe¬ matics, the firft fcience of reafon in which the ftudent is .commonly initiated. Chap. VI. Of Demsnf ration. I. Having difpatched what feemed neceffary to be laid with regard to the two methods of direft reafon- ing, induction and fyllogifm ; we now proceed to confi- der the laws of demonftration. And here it muft be acknowledged, that in ftrift demonftration, which re¬ moves from the mind all pofiibility of doubt or error, the induftive method of reafoning can have no place. When the experiments and obfervations from which the general conclufion is drawn are numerous and ex- tenfive, the refult of this mode of reafoning is moral certainty ; and could the induftion be made complete, it would be abfolute certainty, equally convincing with mathematical demonftration. But however numerous and extenfive the obfervations and experiments may be upon which an induftive conclufion is eftablifhed, they muft of necelfity come fhort of the number and extent of nature ; which, in fome cafes, by its im- menfity, will defeat all poflibility of their co-exten- fion ; and in others, by its diftance, lies out of the reach of their immediate application. Though truth does not appear in all other departments of learning with that bold and refiftlefs conviftion with which it prefides in the mathematical fcience, it fhines through them all, if not interrupted by prejudice or perverted by error, with a clear and ufeful, though inferior ftrength. And as it is not neceffary for the general fafety or convenience of a traveller, that he (hould al- ways enjoy the heat and fplendor of a mid-day fun, whilft he can with more eafe purfue his journey under the weaker influence of a morning or an evening rayj fo it is not requiftte, for the various concerns and pur- pofes (e) This chapter is almoft wholly taken from Tat ham's Chart and Scale of Truth ; a work which, notwith- ftanding the ruggednefs of its ftyle, has fo much real merit as a fyltem of logic, that it cannot be too diligently ftudied by the young inquirer who wifhes to travel by the llraight road to the temple of Science. PartlH. t O poCes of life, that men' fhould be led by truth of the moft redundant brightnefs. Such truth is to be had only in thofe fciences which are converfant about ideas and their various relations ; where every thing being certainly what it appears to be, definitions arid axioms arife from mere intuition. Here/yllogifm takes up the procefs from the beginning ; and by a fublime intellec¬ tual motion advances from the fimpleft axioms to the moft complicated fpeculations, and exhibits truth fpringing out of its firft and pureft elements, and fpread- ing on all fides into a fyftem of fcience. As each ftep in the progrefs is fyllogiftic, we fliall endeavour to ex¬ plain the ufe and application of fyllogifms in this fpe- lo cies of reafoning. Ofreafon- We have feen, that in all the different appearances ing by a they put on, ftill arrive at a juft and legitimate con- tionofM* c^ill0n ’ now ^ °ften happens, that the conclufion of los'ifms ^" one fyUogifm becomes a previous propofi'tion in ano¬ ther ; by which means great numbers of them are fometimes linked together in a feries, and truths are made to follow one another in train. And as in fuch a concatenation of fyllogifms all the various ways of reafoning that are truly conclufive may be with fafety introduced ; hence it is plain, that in deducing any truth from its firft principles, efpecially where it lies at a confiderable diftance from them, we are at liberty to combine all the ieveral kinds of fyllogifms above ex¬ plained, according as they are found beft to fuit the end and purpofe of our inquiries. When a propofi- tion is thus, by means of fyllogifms, collected from others more evident and known, it is faid to be proved; fo that we may in the general define the proof of a propofition to be afyllogifm, or feries of fyllogifms, col- lefting that propofition from known and evident truths. But more particularly, if the fyllogifms of which the proofs confift admit of no premifes but definitions, felf- _ evident truths, and propofitions already eftabliftied, then is the argument fo conftituted called a (Lmon/lratlon ; whereby it appears that demonftrations are ultimately ljo founded on definitions and felf-evident propofitions. AH fyllo- II* All fyllogifms whatfoever, whether compound, gifmswhat- multiform, or defedfive, are reducible to plain Ample foeyer re- fyllogifms in feme one of the four figures. But this is the filVfi- n0t aI1* Syllogifms of the firft fig*ure, in particular, gure. admit of all poflible conclufions c that ia, any propofi¬ tions whatfoever, whether an univerfal affirmative or univerfal negative, a particular affirmative or parti¬ cular negative, which fourfold divifion, embraces all their varieties; any one of thefe may be inferred by virtue of fome fyllogifm in the firft figure. By this means it happens that the fyllogifms of all the other figures are reducible alfo to fyllogifms of the firft- fi¬ gure, and. may be confidered as ftanding on the fame foundation with them.. We cannot here demonftrate and explain the manner of this redudlion, becaufe it would too much fwell the bulk of this treatife.. It is enough to take notice that the thing is univerfally , known and allowed among logicians, to.whofe wri¬ tings-we refer fuch as defire farther fatisfaftion in this matter. This then being laid down, it is plain that any demonllration whatfoever may be canfidered as compofed of a feries of fyllogifms, all in the firft fi¬ gure. For, fince all the fyllogifms that enter the de- monftration are reducible to fyliogifms of fome one of the four figures; and fince the fyllogifms of all the 4. c. 2*5 other figures are farther reducible to fyllogifms of the firft figure, it is evident, that the whole demonftra- tion may be refolved into a feries of thefe laft fyllo¬ gifms. Let us now, if poflible, difeover the ground upon which the conclufion refts in fyllogifms of the firft figure ; becaufe, by fo doing, we ihall come at an univerfal principle of certainty, whence the evidence of all demonftrations in all their parts may be ulti- matelyr derived. jjj III. The rules then of the firft figure are briefly Thepround .thefe. The middle term is the fubjedt of the major ‘.,f reafor-~ propofition, and the predicate of the minor. The^^^ major is always an univerfal propofition^ and the mi- ‘ ° nor always affirmative. Let us now fee what effedf thefe rules will have in reafoning. The major is an univerfal propofition, of which the middle term is the fubjed, and the predicate of the conclufion the predi¬ cate. Hence it appears, that in the major the pre¬ dicate of the conclufion is always affirmed or denied univerfally of the middle term. Again the minor is an affirmative propofition, whereof the fubjed of, the conclufion is the fubjed, and the middle term the pre¬ dicate. Here then the middle term is affirmed of the fubjed of the conclufion; that is, the fubjed of the conclufion is affirmed to be comprehended under, or to make a part of, the middle term. Thus then we fee what is done in the premifes of a fyllogifm of the firft figure. The predicate of the conclufion is uni¬ verfally affirmed or denied of fome idea. The fub¬ jed ot the conclufion is affirmed to be or to make a part of that idea- Hence it naturally and unavoidably follows, that the predicate of the conclufion ought to be affirmed or denied of the fubjed. To illuftrate this by an example, we fhall refume one of the fyllogifms of the firft chapter. “ Every creature poffeffed of reafon and liberty is “ accountable for his adions: “ Man is a creature poffeffed of reafon and liberty: “ Therefore man is accountable for his adions.” Here, in the firft propofition, the predicate of the, conclufion, accountab'lenefs^ is affirmed of all creatures that have reafon and liberty. Again, in the fecond propofition, man, the fubjed of the conclufion, is af¬ firmed to be or to make a part of this clafs of crea¬ tures.- Hence .the conclufion neceffarily and unavoid¬ ably follows, viz. that man is accountable for his ac¬ tions becaufe, if reafon and liberty be that which conftitutes. a creature accountable, and man has reafon and liberty, it is plain he has that which conftitutes him accountable. In like manner, where the major is a negative propofition, or denies the predicate of the conclufion univerfally of. the middle term, as the minor always afferts the fubjed of the conclufion to be or make a part of that middle term, it is no lefs evident that the predicate of the conclufion ought in this cafe to be denied of the fubjed. So that the ground of reafoning, in all fyllogifms of the firft figure, is manifeftly this “ Whatever may be affirmed uni- verfally of any idea, may be affirmed of every or any number of particulars comprehended under that idea.” And. again : “ Whatever may be denied univerfally of any idea, may be in like manner denied of every or any number of its individuals.” Thefe. two propofitions are called by logicians file dictum de omni, and' diflum de nulla; and are indeed the great principles.- 2i1S LOG principles of lyllogiftlc reafoning, inafmuch as all con- clulions whatfoever either reft immediately upon them, or upon propofttions deduced from them. But what adds greatly to their value is, that they are really felf-evident truths, and fuch as we cannot gainfay without running into an exprefs contradi&ion. To affirm, for inftance, that no man is perfett, and yet ar¬ gue that fame men are perfed ; or to fay that all men are mortal, and yet that fome men are not mortal, is to affert Tii a thing to be and not to be at the fame time. tienionHra- IV. And now we may affirm, that, in all fyllogifrtis of the firft figure, if the premifes are true, the conclu- guide^o f,on mu ft needs be true. If it be true that the pre¬ truth and dicate of the conclufion, whether affirmative or nega- v.er-tainry. tive, agrees univerfally to feme idea; and if it be alfo true that the fubjeft of the conclufion is a part of or comprehended under that idea; then it necefiarily follows, that the predicate of the conclufion agrees alfo to the fubjeift. For to affert the contrary, would be to run counter to feme one of the two principles be¬ fore eftabliffied; that is, it would be to maintain an evident contradiction. And thus we Are come at laft to the point we have been all along endeavouring to eftabliih ; namely, that every propofition which can be demonftrated is neceflarily true. For as every demonftration may be refolved into a feries of fyllo- gifms all in the firft figure; and as in any one of thefe fyllogifrns, if the premifes are true, the conclufion muft needs be fo too ,; It evidently follows, that if all the feveral premifes are true, all the feveral conclu¬ sions are fo, and confequently the conclufion alfo of the laft fyllogifm, which is always the propofition to be demonftrated. Now that all the premifes of a de¬ monftration are true, will eafily appear from the very nature and definition of that form of reafoning. A demonftration, as we have faid, is a feries of fyllo- gifms, all whofe premifes are either definitions,' felf- evident truths, or propofitions already eftabliffied. Definitions are identical propofitions, wherein we connebb the defeription of an idea with the name by which we choofe to have that idea called, and there¬ fore as to their truth there can be no difpute. Self- evident propofitions appear true of themfelves, and leave no doubt or uncertainty in the mind, Propofi¬ tions, before eftabliffied, are fro other than conclutions gained by one or more fteps from definitions and felf- evident principles, that is, from true premifes, and therefore muft needs be true. Whence all the pre¬ vious propofitions of a detnonftration being, we fee, mamfeftly true ; the laft conclufion, or propofition to be demonftrated, muft be fo too. So that demonftra¬ tion not only leads to certain truth, but we have here alfo a clear view of the ground and foundation of that certainty. For as, in derttonftrating, we may be faid to do nothing more than combine a feries of fyllogifms together, aft refting on the fame bottom ; it is plain that one uniform ground of certainty runs through the whole, and that the conclufions are every where built upon fome one of the two principles before eftabliffied, as the ioundaticn of all our reafoning. Thefc two principles are eafily reduced into one, and may be ex- preffed thus : “ Whatever predicate, whether affir¬ mative or negative, agrees univerfally to any idea ; the fame muft needs agree to every or any number of individuals comprehended under that ideJ.” And N3 186. I C. Part HI. thus at length we have, according to our firft defign, reduced the certainty of demonftration to one Ample and univerfal principle ; which carries its own evidence along with it, and which is indeed the ultimate foun¬ dation of all fyllogiftic reafoning. Ir^ V. Demouftration therefore lerving as an infallible The rules guide to truth, and (landing on fo lure and unalter-fur- able a bafis, we may now venture to affert, that the n’fll a rules of logic furnilh a fufficient criterion for the di- rion^o^the ftinguiffiing between truth and falfehood. For fince diftinguiftii every propofition that can be demonftrated is necef->ng between farily true, he is able to diftinguiffi truth from falfe- aI'ci hood who can with certainty judge when a propofi- e 00 ! tion is truly demonftrated. Now, a demonftration is, as we have faid, nothing more than a concatenation of fyllogifms, all whofe premifes are definitions, felf- evident truths, or propofitions previoufty eftabliffied. To judge therefore of the validity of a demonftration, we rauft be able to diftinguiffi whether the definitions that enter it are genuine, and truly deferiptive of the ideas they are meant to exhibit: whether the pro¬ pofitions affumed without proofs as intuitive truths have really that felf-evidence to which they lay claim: whether the fyllogifms ai-e drawn up in due form, and agreeable to the laws of argumentation : in fine, whether they are combined together in a juft and or¬ derly manner, fo that no demonftrable piopofitions ferve any where as premifes unlefs they are conclu¬ fions of previous fyllogifms> Now, it is the bufinefs of logic, in explaining the feveral operations of the mind, fully to inftruA us in all thefe points. It teaches the nature and end of definitions, and lays down the rules by which they ought to be framed. It unfolds the feveral fpecies of propofitions, and diftinguiffies the felf-evident from the demonftrable. It delineates alfo the different forms of fyllogifms, and explains the laws of argumentation proper to each. In fine, it de^ feribes the manner of combining fyllogifms, fo as that they may form a train of reafoning, and lead to the fucceffive difeovery of truth. The precepts of logic, therefore, as they enable us to judge With certainty when a propofition is duly demonftrated, furniffi a fure criterion for the diftinguiffiing between truth and falfehood. lr^ VL Perhaps it may be obje&ed, that demonftra-And ex- tion is a thing very rare and uncommon, as beirig the^d'ng fo prerogative of but a few fciences, and therefore the^Jj^6* criterion here given can be no great ufe. But certain wherever, by the bare contemplation of our ideas, knowledge truth is difcoverable, there alfo demonftration may be ' f truth >3 attained. Now that is an abundantly fufficient crite-attaina e* rion which eirables us to judge with certainty in all cafes where the knowledge of truth comes within our reach ; for with difeoveries, that lie beyond the li¬ mits of the human mind, we have, properly, no bufi¬ nefs or concernment. When a propofition is demon¬ ftrated, we afe certain of its truth. When, on the contrary, our ideas are fuch as have no vifible connec¬ tion or reptignance, and therefore fufmffi not the pro¬ per means of tracing their agreement , or difagreement, there we are fure that fcientifical knowledge is not attainable. But where there is fome foundation of reafoning, which yet amounts not to the full evidence of demonftration, there the precepts of logic, by teaching us to determine aright of the degree of procf> it? PartlH. LOGIC. proof, and of what is flill wanting to render it full true. F®r as the one is neeeflarily true, and the other and complete, enable us to make a due eftimate of neceffarily falfe ; when we come to difcover which is the meafures of probability, and to proportion our the falfe propofition, we thereby alfo know the other alfent to the grounds on which tfte propofition ftands. to be true. And this is all we can poffibly arrive at, or even fo IX. Now this is precifely the manner of an indirect 117 much as hope for, in the exercife of faculties fo im- demonftration, as is evident from the account given of it tie* perfeCf and limited as ours. above. For there we afl'umea propofition which dire&ly tj°n3 ^furc 115 VII. Before we conclude this chapter, it may not be contradifts that we mean to demonftrate ; and, having guide to Thediftmc- improper to take notice of the diftindtion of demonftra- by a continued feries of proofs Ihown it tobe falfe, thence certainty. nionftra-6" t^on *nto dire3 and indirect. A direct demonjiration is, infer that its contradictory, or the propofition to be tion into when, beginning with definitions, felf-evident propofi- demonftrated is true. As, therefore, this laft conclu- diredt and tions, or known and allowed truths, we form a train of fyl- fion is certain and unavoidable; let us next inquire indirect, logifms, and combine them in an orderly manner, con- after what manner we come to be fatisfied of the falfe- tinuing the feries through a variety of fuccellive Heps, hood of the aflumed propofition, that fo no ppffible until at lafl: we arrive at a fyllogifm whofe conclufion doulff may remain as to the force and validity of de¬ ls the propofition to be demonftrated. Proofs of this monftrations of this kind. The manner then is plains kind leave no doubt or uncertainty behind them ; be- ly this: Beginning with the aifumed propofition, we, caufe, all the feveral premifes being true, the conclu- by the help of definitions, felf-evident truths, or pro- fions muft be fo too, and of courfe the very laft con- pofitions already eftabliflied, continue a feries of rea- clufion or propofition to be proved. The other fpe- foning, in the way of a diredt demonftration, until at cies of demonftration is the indiretl, or, as it is fome- length we arrive at fome abfurdity or known falfehood. times called, the apogogical. The manner of proceed- Thus Euclid, in the example before-mentioned, from ing here is, by affuming a propofition which diredtly the fuppofttion that circles touching one another in- contradidts that we mean to demonftrate; and thence, wardly have the fame centre, deduces, that a part is by a continued train of reafoning, in the way of a di- equal to the ‘whole. Since, therefore, by a due and or- redf demonftration, deducing fome abfurdity or ma- derly procefs of reafoning, we come at laft to a falfe nifeft untruth. For hereupon we conclude, that the conclufion ; it is manifeft, that all the premifes can- propofition affumed was falfe ; and thence again, by not be true : for, were all the premifes true, the an immediate confequence, that the propofition to be laft conclufion muft be fo too, by what has been demonftrated is true. Thus Euclid, in his third book, • before demonftrated. Now, as to all the other pre¬ being f' uemonftrate that circles which touch one another mifes made ufe of in the courfe of reafoning, they Inwardly have not the fame centre, affumes the diredt are manifeft and known truths by fuppofition, as contrary to this, viz. that they have the fame centre; and being either definitions, felf-evident propofitions, or thence, by an evident train of reafoning, proves that a truths previoully eftabliflied. The affumed propofi- part is equal to the whole. The fuppofition therefore tion is that only as to which any doubt or uncertainty leading to this abfurdity he concludes to be falfe, viz. remains. That alone, therefore, can be falfe ; and in- that circles touching one another inwardly have the fame deed, from what has been already ftiown, muft una- centre ; and thence again immediately infers^ that they voidably be fo. And thus we fee, that in indiredf de- have not the fame centre. monftrations, two contradidtory propofitions being laid *16 VIII. Now, becaufe this manner of demonftration is down, one of which is demonftrated to be falfe, the Ground of acc0unted by fome not altogether fo clear and fatisfac- other, which is always the propofition to be proved, inlndlreft tot7 > we ^iah therefore endeavour to fliow, that it muft- neceffarily be true ; fo that here, as well as in demonftra- equally with the other leads to truth and certainty, the diredt way of proof, we arrive at a clear and fatif- tions. Two propofitions are faid to be contradidory one of fadtory knowledge of truth. another, when that which is afferted to be in the one X. This is univerfally the method of reafoning in all is afferted not to be in the other. Thus the propo- apogogical or indiredt demonftrations. But if any pro- i^caf^of fitions, Circles that touch one another inwardly have the pofition is affumed, from which, in a diredt train of indiredt dt - ' fame centre, and Circles that touch one another inwardly reafoning, we can deduce its contradidtory ; the pro- 'lionftra have not the fame centre, are contradictories, becaufe the - pofition fo affumed is falfe, and the contradidtory one aon8' fecond afferts the diredt contrary of what is afferted true. For if we fuppofe the affumed propofition to in the firft. Now, in all contradidtory propofitions, be true, then, fince all the other premifes that enter this holds univerfally, That one of them is neceffarily the demonftration are alfo true, we ftiall have a feries true, and the other neceffarily falfe. For if it be of reafoning confifting wholly of true premifes; true, that circles which touch one another inwardly whence the laft conclulion or contradidtory of the af- have not the fame centre ; it is unavoidably falfe, that fumed propofition muft be true likewife : fo that by they have the fame centre. On the other hand, if it this means we fhould have two contradidtory propoii- be falfe that they have the fame centre, it is neceffarily tions both true at the fame time, which is manifeftly true that they have not the fame centre. Since therefore impofiible. The affumed propofition, therefore, whence it is impoffible for them to be both true or both falfe this abfurdity flows, muft neceffarily be falfe ; and at the fame time ; it unavoidably follows, that one confequently its contradidtory, which is here the pro- is neceffarily true, and the other neceffarily falfe. This pofition deduced from it, jnuil be true. If then any then being allowed, which is indeed felf-evident; if any propofition is propofed to be demonftrated, and we two contradidtory propofitions are affumed, and one of ajfume the cnntradidory of that propofition, and thence them can by a clear train of reafoning be demonftra- diredtly infer the propofition to be demonftrated ; by ted to be falfe, it neceffarily follows that the other is this very means we know that the propofitiou fo in- Vol.X, Parti. Ee ferred, 2l8 LOGIC Part III. ferred is true. For, fmce from an affumed propofition we have deduced its contradictory, we are thereby certain that the affumed propofition is falfe ; and if fo, then its contradictory, or that deduced from it, which in this cafe is the fame with the propofition to be de- monftrated, muff be true. 119 XI. We have a curious inftance of this in the twelfth A due propofition of the ninth book of the Elements. Eu- ofthe pnn* there propofes to demonftrate, that in any feries ciples of lo- °f numbers, rifing from unity in geometrical progref- gic indif- ft on, all the prime numbers that meafure the loft term neceff ^ ^ ferm aV° meafure ^ next after lintty- In make uJt0 orc^er to t^*s, affumes the contradiftory of the pro- proper pofition to be demonrtrated ; namely, that fame prime judges of number meafuring the lajl term in the feries does not demonftra- meaJure the next after unity; and thence, by a eonti- i- nued train of reafoning, proves that it actually does meafure it. Hereupon he concludes the affumed pro¬ pofition to be falfe ; and that which is deduced from it, or its contradictory, which is the'-tery propofition he propofed to demonftrate, to be true. Now that this is a juft and conclufive way of reafoning, is a- bundancly manifeft from what we have fo clearly efta- blifhed above. Whence it appears, how neceffary fome knowledge of the rules of logic is, to enable us to judge of the force, juftnefs, and validity, of demonftrations. For, though it is readily allowed, that by the mere ftrength of our natural faculties we can at once difcern, that of two contradictory propofitions, the one is ne- ceffarily true, and the other neceffarily falfe; yet Part IV. Of 111 WE have now’ done with the three firft operations The under- Gf the mind, whofe office it is to fearch after handing truth, and enlarge the bounds of human knowledge, employed* There is yet a fourth, which regards the difpofal and in putting arrangement of our thoughts, when we endeavour fo together to put them together as that their mutual connexion truths'1 am* dependence may be clearly feen. This is what lo¬ gicians call Method, and place always the laft in order in explaining the powers of the underftanding; be- caufe it neceffarily fuppofes a previous exercife of pur other faculties, and fome progrefs made in knowledge before wre can exert it in any extenfive degree. II. In this view, it is plain that we muft be before- Sometimes hand well acquainted with the truths we are to combine in the together; otherwife, how could we difcern their feveral ^ifcover"^ connections and relations, or fo difpofe of them as of fuclTas their mutual dependence may require ? But it often are un- happens, that the underftanding is employed, not in known. the arrangement and compofition of known truths, but in the fearch and difcovery of fuch as are un¬ known. And here the manner of proceeding is very different. We affemble at once our whole ftock of knowledge relating to any fubjeCt, and, after a gene¬ ral furvey of things, begin with examining them fe- parately and by parts. Hence it comes to pafs, that whereas, at our firft fetting out, we were acquainted only with fome of the grand ftrokes and outlines of truth ; by thus purfuing her through her feveral windings and receffes, we gradually difeover thofe more inward and finer touches whence fhe derives all her ftrength, fymmetty, and beauty. And here it 5 w’hcn they are fo linked together in a demonftration, as that the one ferves as a previous propofition whence the other is deduced, it does not fo immediately ap¬ pear, without fome knowledge of the principles of lo¬ gic, why that alone, which is eollefted by reafoning, ought to be embraced as true, and the other, whence it is colledted, to be rejeifted as falfe. XII. Having thus fufficiently evinced the certainty of no demonftration in all its branches, and ffiown the rulesby which we ought to proceed, in order to arrive at a juft clentm conclufion, according to the various ways of arguing guard us a- made ufe of; it is needlefs to enter upon a particular gainft error coniideration of thofe feveral fpecies of falfe reafoning and fa!fe which logicians diftingui'fii by the name of fophifms.rea 0Iliri“* He that thoroughly underftands the form and ftruc- ture of a good argument, will of himfelf readily dif¬ cern every deviation from it. And although fophifms have been divided into many elaffes, which are all called by founding names, that therefore carry in them much appearance of learning; yet are the errors themfelves fo very palpable and obvious, that it would be loft labour to write for a man capable of being milled by them. Here, therefore, we choofe fo conclude this part of logic ; and {hall in the next give fome account of Method: which, though infeparable from reafoning, is neverthelefs always confidered by logi¬ cians as a diftimSt operation of the mind ; becaufe its influence is not confined to the mere exercife of the reafoning faculty, but extends in fome degree ta all the tranfatfions of the underftanding. METHOD. is, that when, by a narrow ferutiny into things, we have unravelled any part of knowledge, and traced it to its firft and original principles, infomuch that the whole frame and contexture of it lies open to the vjew of the mind; here it is, that, taking it the contrary way, and beginning with thefe principles, we can fo adjuft and put together the parts as the order and me¬ thod of fcience requires. III. But as thefe things are heft underftood when il- 113 luftrated by examples ; let us fuppofe any machine, for^u^rat.e^. inftance a watch, prefented to us, whofe ftru&ure and ^[udee0f^ compofition we are as yet unacquainted with, but watch, want, if poffible, to difeover. The manner of pro¬ ceeding, in this cafe, is, by taking the whole to pieces, and examining the parts ftparately, one after another. When, by fuch a ferutiny, we have thoroughly in¬ formed ourfelves of the frame and contexture of each, we then compare them together, in order to judge of their mutual a (ft ion and influence. By this means we gradually trace out the inward make and compofition. of the whole, and come at length to difcern how parts of fuch a form, and fo put together as we found in unravelling and taking them afunder, conftitute that particular machine called a watch, and contribute ta all the feveral motions and phenomena obfervable is it. This difcovery being made, we can take things the contrary way, and, beginning with the parts, fa difpofe and conne 'n a great meafure, in unfolding any part tic and fyn-°I human knowledge: for the relations and mutual tbetic me-- habitudes of things do not always immediately appear thods. upon comparing them one with another. Hence we have recourfe to intermediate ideas; and, by means of them, are furnifhed with thofeprevious propofitions that lead to the conclulion we are in quell of. And if it fo happen that the previous propofitions themfelves are not fufficiently evident, we endeavour, by new middle terms, to afeertain their truth ; ftill tracing things backward, in a continual feries, until at length we arrive at fome fyllogifm where the premifes are firft and felf-evident principles. This done, we become perfectly fatisfied as to the truth of all the conclulions we have puffed through, inafmuch as they are now feen to Hand upon the firm and immoveable founda¬ tion of our intuitive perceptions. And as we arrived at this certainty by tracing things backward to the original principles whence they flow ; fo may we at any time renew it by a diredt contrary procefs, if, be¬ ginning with thefe principles, we carry the train of our thoughts forward until they lead us, by a con- nected chain of proofs, to the very lall conclufion of the feries. }}S V. Hence it appears, that, in difpofing and putting method hf together our thoughts, either for our own ufe, that the to analytic difeoveries we have made may at all times lie open to and (ynthe-the review of the mind, or where we mean to commu- tic' nicate and unfold the difeoveries'to others, there are two ways of proceeding equally within our choice: for we may fo propofe the truths relating to any part of knowledge, as they prefented themfelves to the mind' in the manner of invelligation; carrying on the-feries of proofs, in a reverfe order, until they at laft termi¬ nate in firft principles : or, beginning with thefe prin¬ ciples, we may take the contrary way, and from them deduce, by a diredt train of reafoning, all the feveral propofitions we want to eftablifh. This diverfity in the manner of arranging our thoughts gives rife to the twofold divifioh of method eftablifhed among logi¬ cians: for method, according to their ufe of the word, is nothing elfe but the order and difpofition of our thoughts relating to any fubjedl. When truths are fo propofed and put together as they were or might have ' been difeovered, this is called the analytic method, or the method of rrfolution ; inafmuch as it traces things back¬ ward to their fource, and refolves knowledge into its firft and original principles. When, on the other hand, they are deduced from thefe principles, and connected according to their mutual dependence, infomuch that the truths firft in order tend always to the demonftra- tion of thofe that follow; this conftitutes what we call the fynthetic method, or method of competition. For here W’e proceed by gathering together the feveral fcatter- ed parts of knowledge, and combining them into one whole or fyftem, in fuch manner that the underftand- ing is enabled diftinflly to follow truth through all her different ftages and gradations. Called o- VI, There is this farther to be taken notice of, in therwife relation to thefe two fpecies of method; that the firft of6 ' has alfo obtained the name of the method oj invention, tion and becaufe it obferves the order in which our thoughts the method fucceed one another in the invention or difeovery of ot fciencc. truth. The other, again, is often denominated the G I G method of doElrine or infruBion ; inafmuch as, in laying our thoughts before others, we generally choofe to proceed in the fynthetic manner, deducing them from their firft principles. For we are to obferve, that al¬ though there i» great pleafure in purfuing truth in the method of inveftigation, becaufe it places us in the condition of the inventor, and fhows the particular train and procefs of thinking by w’hich he arrived at his difeoveries; yet it is not fo well-accommodated to the purpofes of evidence and conviftion. For, at our firft fetting out, we are commonly unable to divine where the analyfis will lead us; infomuch that our re- fearches are for fome time little better than a mere groping in the dark. And even after light begins to break in upon us, we are ftill obliged to many reviews, and a frequent comparifon of the feveral fteps of the inveftigation among themfelves. Nay, wheivwe have unravelled the whole, and reached the very foundation on w hich our difeoveries ftand, all our certainty, in re¬ gard to their truth, will be found in a great meafiire to arife from that connexion we are now able to difeera between them and firft principles, taken in the order of compoiition. But in the fynthetic manner of difpo- fing our thoughts, the cafe is quite different: for as we here begin with the intuitive truths, and advance by regular dedudtions from them, every ftep of the procedure brings evidence and conviction along with it; fo that, in our progrefs from one part of knowr- ledge to another, we have always a clear perception of the ground on which our affent refts. In communi¬ cating therefore our difeoveries to others, this method is apparently to be chofen, as it wonderfully improves and enlightens the underftanding, and leads to an im¬ mediate perception of truth. VII. The logic which for fo many ages kept p.of- feffion of the fchools, and was deemed the moll im¬ portant of the fciences, has long been condemned as a mere art' of wrangling, of very little ufe in the purfuit of truth. Attempts have been made to reftore it to credit, but without fuccefs ; and of late years little or no attention whatever has been paid to the art of reafon¬ ing in the courfe of what is called a liberal education. As both extremes may be faulty, it ihould feem that we cannot conclude this ftiort treatife more properly than with the following Reflections on the Utilitt of Logic. If Ariftotle was not the inventor of logic, he was certainly the prince of logicians. The whole theory of fyllogifms he claims as his own, and as the fruit of much time and labour; and it is univerfally known, that the later writers on the art have borrowed their materials almoft entirely from his Organon and Por¬ phyry’s Introduftion. But after men had laboured near 2000 years in fearch of truth by the help of fyl¬ logifms, Ford Bacon propofed the method of induc¬ tion, as a more effectual engine for that purpofe ; and fince his days the art of logic has gradually fallen into difrepute. To this confequence many caufes contributed. The art of fyllogifm is admirably calculated for wrangling; and by the fchoolmen it was employed with too much fuccefs, to keep in countenance the abfurdities of the Romifti church. Under their management it pro¬ duced numberlefs difputes, and numberlefs feds, who E e 2 fought 219 220 LOG fought againft each other with much animofity with¬ out gaining or lofing ground; but it did nothing con- fiderable For the benefit of human life, whilft the me¬ thod of induction has improved arts and increafed knowledge. It is no wonder, therefore, that the ex- ceffive admiration of Ariftotle, which continued for fo many ages, fhould end in an undue contempt; and that the high efteem of logic, as the grand engine of fcience, fhould at lail make way for too unfavourable an opinion, which fcems now prevalent, of its being unworthy of a place in a liberal education. Men rare¬ ly leave one extreme without running into the contrary: Thofe who think according to the fafhion, -will be as prone to go into the prefent extreme as their grand¬ fathers were to go into the former; and even they who in gavral think for themfelves, when they are offend¬ ed at the abufe of any thing, are too apt to entertain prejudices againft the thing itfelf. “ In practice (fays t Tntroluc- t}le learned Warburton f), logic is more a trick than a/T &c l~*-fcunce> formed rather to amufe than to inftruCt. And in fome fort we may apply to the art of fyllogifm what a man of wit fays of rhetoric, that it only tells us how to name thofe tools which nature had before put into our hands. In the fervice of chicane, indeed, it is a meer juggler’s knot, now faft, now loofe; and the fchools where this legerdemain was exercifed in great perfection are full of the ftories of its wonders.” The authority o£ Warburton is great; but it may be coun¬ terbalanced by another which, on fubjeCts of this na¬ ture, is confeffedly greater. “ Laying afide prejudice, whether fafhionable or t Appendix unfafhionable,let usconfider (fays Dr Reid J) whether to Lord' logic is or may be made fubfervient to anygood purpofe. Sketch on ^ts profcfled end is, to teach men to think, to judge, thePrinciple and to reafon, with precifion and accuracy. No man and Pregrtfe will fay that this is a matter of little importance : the oflien/cn. on]y thing therefore that can admit of doubt is, whe¬ ther it can 'be taught ? “To refolve this doubt, it may be obferved, that our rational faculty is the gift of God, given to men in very different meafures: Some have a large portion, fome a lefts; and where there is a remarkable defeft of the natural power, it cannot be fupplied by any culture. But this natural power, even where it I Part IV* s the ftrongeft, may lie dead for want of the means of ed with rules may carry dicious and feafonable; to wit, That the improvement of our reafoning power is to be expected much more, from an intimate acquaintance with the authors who reafon beft, than frpm ftudying voluminous fyftems of fchool logic. But if he had meant, that the ftudy of logic was of no ufe, nor deferved any attention, he furely would not have taken the pains to make fo con- fiderable an addition to it, by his Etfay on the Rumin Underflanding, and by his Thoughts on the Condud of the Underjlanding; nor would he have remitted his pupil to Chilling'worth, the acuteft logician as well as the beft reafoner of his age.” There is no ftudy better fitted to exercife and ftrengthen the reafoningjrowers than that of the ma¬ thematical fciences; becaufe there is no other branch of fcience which gives fuch fcope to long and accu¬ rate trains of reafoning, or in which there is fo little room for authority or prejudice of any kind to give a falfe bias to the judgment. When a youth of mode¬ rate parts begins to ftudy Euclid, every thing is new to him : His apprehenfion is unfteady ; his judgment is feeble; and refts partly upon the evidence of the thing, and partly upon the authority of his teacher. But eveiy time he goes over the definitions, the axioms, the elementary propofitions, more light breaks in upon him; and as he advances, the road of demonftration becomes fmooth and eafy: he can walk in it firmly, and take wider fteps, till at la ft he acquires the habit not only of underftanding a demonflration, but of dif- covering and demonftrating m; thematical truths. It muft indeed be confeffed, that a man without the . rules of logic may acquire a habit of reafoning juftly in mathematics, and perhaps in any other fci^nce. Good fenfe, good examples, and affiduous exercife, may bring a man to reafon juftly and acutely in his own profeffion without rules. But whoever thinks, that from this conceffion he may infer the inutility of logic, betrays by this inference a great want of that art; for he might as well infer, becaufe a man may go from Edin¬ burgh to London by the way of Paris^ that therefore any other road is ufelefs. There is perhaps no art which may not be acquired, in a very confiderable degree, by example and prac¬ tice, withoftt reducing it to rules. But praftice join- i forward in his art far- improvement. Many a favage may have been born with as good faculties as a Newton, a Bacon, or an Rrijlotle; but their talents were buried by having never been put to ufe, whilft thofe of the philofophers were cultivated to the beft advantage. It may likewife be ther and more quickly than praftice without rules.— Eveiy ingenious artift knows the utility of having his art reduced to rules, and thereby made a fcience. By rules he is enlightened in his praiftice, and works with more affurance. They enable him fometimes to correct. obferved, that the chief mean of improving our ration- his own errors, and oiten to deleft the errors of others; al power, is the vigorous exercife of it in various ways and on different fubjefts, by which the habit is ac¬ quired of exercifing it properly. Without fuch ex- eicife, and good fenfe over and above, a man who has ftudied logic all his life may be only a petulant wrang¬ ler, without true judgment or (kill of reafoning in any fcience.” Tlfts muff have been Locke’s meaning, when in his Thoughts oaEducation he fays, “ If you would have your fon to reafon well, let him read Chillingworth.” The ftate of things is much altered fince Locke wrote:. Logic has been much improved chiefly by his writings; and yet much lefs ftrefs is laid upon it, and lefs time eonfumedin its ftudy. His counl'el, therefore, was ju¬ and he finds them of great ufe to confirm his judgment, to juftify what is right, and to condemn what is wrong. Now mathematics are the nobleft praxis of logic. Through them we may perceive how the ftated forms of fyllogifm are exemplified in one fubjeft, namely the predicament of quantity ; and by marking the force of thefe forms, as they are there applied, we may be en¬ abled to apply them of ourfelves elfewhere. Whoever, therefore, will ftudy mathematics with this view, will become not only by mathematics a more expert logici¬ an, and by logic a more rational mathematician, but a wifer philofopher, and an acuter reafoner, in all the pof- fible fubjedfs either of fcience or deliberation. But. when mathematics, inftead of being applied to this ex- i cellent. 221 Part IV. L O cellent purpofe, are ufed not to exemplify logic, but to fupply its place ; no wonder if logic fall into con¬ tempt, and if mathematics, inftead of furthering fei- ence, become in fait an obftacle. For when men, knowing nothing of that reafoning which is univerfal, come to attach themfelves for years to z. ftngle Jpedes, a fpecies wholly involved in lines and numbers, the mind becomes incapacitated for reafoning at large, and efpe- cially in the fearch of moral truth. The objeft of ma¬ thematics is demonftration ; and whatever in that fcience is not demonftrEftion, is nothing, or at leaftbelow the fublime inquirer’s regard. Probability, through its al- moft infinite degrees, from fimple ignorance up to abfo- lute certainty,is the terra incognita of the mathematician. And yet here it is that the great bufinefs of the human mind is carried on in the fearch and difeovery of all the important truths which concern us as reafonable be¬ ings. And here too it is that all its vigour is exerted : for to proportion the afient to the probability accom¬ panying every varying degree of moral evidence, re¬ quires the molt enlarged and fovereign exercife of rea- fon. In'reafonings of this kind, will any man pretend that it is of no ufe to be well acquainted with the va- '• rious powers of the mind by which we reafon ? Is it of no ufe to refolve the various kinds of reafoning in¬ to their fimple elements; and to difeover, as far as we are able, the rules by which thefe elements are com¬ bined in judging and in reafoning ? Is it of no ufe to mark the various fallacies in reafoning, by which even the molt ingenious men have been led into error ? It mult furely betray great want of underllanding, to think fhefe things ufelqfs or unimportant. Now thefe are the things which logicians have attempted; and which they have executed—not indeed fo completely as to leave no room for improvement, but in fuch a manner as to give very confiderable aid to our reafon¬ ing powers. That the principles they have laid down with regard to definition and divifion, with regard to the converfion and oppofition of propofitions, and the general rules of reafoning, are not without ufe, is fuf- ficiently apparent from the blunders committed daily by thofe who difdain any acquaintance with them. Although the art of categorical fyllogifm is confef- fedly little fitted for the difeovery of unknown truth, G I C. it may yet be employed to excellent purpofes, as it is perhaps the moll compendious method of detedling a fallacy. A man in quell of unknown truths mull.ge¬ nerally proceed by the way of induftion, from effefts to caufes; but he, who as a teacher is to inculcate any fyllem upon others, begins with one or more felf-evi- dent truths, and proceeds in the way of demonllration, to the conclufion which he wilhes to eltablifh. Now every demonllration, as has been already obferved, may be refolved into a feries of fyllogifms, of which the con¬ clufion of the preceding always enters into the premi- fes of that which follows: and if the firll principles be clear and evident, and every fyllogifm in fome legiti¬ mate mode and figure, the conclufion of the whole mult infallibly be admitted. But when the demon¬ llration is thus broken into parts j if we find that the conchifion of one fyllogifm will not, without altering the meaning of the terms, enter legitimately into the premifes of that which Ihould immediately follow ; or,, fuppofing it to make one of the premifes of a new fyl¬ logifm, if we find that the conclufion, refulting from the whole feries thus obtained, is different from that of the demonftration ; we may, in either of thefe cafes, reft allured that the author’s reafoning is fallacious, and leads to error; and that if it earned an appear¬ ance of conviction before it was thus refolved into its elementary parts, it mull have been owing to the ina¬ bility of the mind to comprehend at once a long train of arguments. Whoever willies to fee the fyllogiftic art employed for this purpofe, and to be convinced of the truth of what we have faid refpe&ing its utility, may confult the excellent writer recommended by Locke, who, in places innumerable of his incomparable book, has, without pedantry, even in that pedantic age, made the happieft application of the lules of logic for unravelling the fophiitry of his Jefuitical antago- nift. Upon the whole, then, though we readily acknow¬ ledge that much time was wafted by our forefathers in fyllogiftic wrangling, and what might with little: impropriety be termed the mechanical part of logic yet the art of forming and examining arguments is cer¬ tainly an attainment not unworthy the ambition of that being whole higheft honour is to be endued with rea¬ fon. LOG LOG Logifte, LOGISTiE, certain officers at Athens, in num- Logogra- ker ten> whofe bufinefs confifted in receiving and paf- , l1^’ fing the accounts of magiftrates when they went out ^’~v of office. The logijla were eleaed by lot, and had * ten euthyni or auditors of accounts under them. LOGOGRAPHY, a new method of printing, in which the types, inftead of anfwering only to fingle let-^ ters, are made to correfpond to whole words. This method, though feemingly a retrograde pro- ceffion in the printing art, has lately obtained the fanc- tion of his Majefty’s patent, and has for fome time been aaually put in execution in the way of trade, apparently with advantage to the proprietors. In the year 1783, a treatife upon this fubjefl appeared, by Henry Johnfon, in which the origin as well as the utility of the art are fully laid down, and the Logogra- matter fet forth in fuch a light as can fcarce allow p T j us to doubt that it is an improvement in the art. Mr johnfon informs us, that about five years before,, viz. in the year 1778, intending to publifh a daily lift of'blanks and prizes in the lottery numerically ar¬ ranged, he found it could not be accotnpliftied in time by the ordinary way of printing. On this account he procured types of two, three,, or more figures as was neceflary for his purpofe ; and thus any entire num¬ ber might as readily be taken up as if it had been a* fingle type. His next attempt was in forming fome large mercantile tables of pounds, {hillings, pence, and farthings. For thefe he procured types expreffive of - any fum of money ready compofed and united, “ bv whic*; LOG [2: Logogra- which (fays he) every fpecies of figure-printing could , be performed for the tenth part of the coft, printers v always charging it double the price of letter print- ing.” Having thus fucceeded to his wiih in his two firft attempts, he next began to confider if the me¬ thod could not be applied to words; and in this alfo the fuccefs was equal. The properties of the logographic art, according to our author, are, 1. That' the compofitor fhall have lefs charged upon his memory than in the common way. 2. It is much lefs liable to error. 3. The type of each word is as eaiily laid hold of as that of a Angle letter. 4. The decompofition is much more readily performed, even by the mereft novices, than they now decompofe letters. 5. No extraordinary expence nor greater number of types is required in the logographic than in the common method of printing.. The firft. of thefe politicos is proved by our author in the following manner. In the common method, the compofitor has 150 divifions to which there is no reference, and the printing offices are not agreed with refpedl to the mode of placing their boxes 5 “ but under this improvement, he has only to know the letters of the alphabet, and is affifted with an index of them, infomuch that the fimplicity of the latter apparatus enables him, by a little praftice, to lay his finger alnjoft blindfold on the word required ; and the meaneft capacity is equal to this mental exercife, having little more to do than knowing by infpedtion the difference between words under three and thofe above three fyllables; and all the apparatus being within a compafs not a great deal more extended than common printing, for thefe reafons he is as foon pof- feffed of his type of a word as they are of a fingle letter.” Thus the firft and third pofitions may be faid to be proved ; but in his proof of the fecond, our author himfelf Ihows that his art is not infallible, by fubfti- tuting the word third inftead of fecond. Subftitutions of this kind, he owns, may readily take place; but fuch errors are much more confpicuous than literal ones, though they may be cprrefted with equal eafe ; « for the erroneous fubftitution cannot fail of being nearly equal in length to the word required; although, even otherwife, it would not be attended with greater^ difadvantage than in the common way, and it would be rectified with greater facility.” The eafe with which the compofition is performed, fhows that there muft be an equal eafe in performing the decompofition; “ from whence (fays Mr John- fon)” it is further demonftrable, that any work can be compofed by this method nearly as foon as it can be deliberately read; and as te the fifth pofition, that it (hall not require a greater expence of types, it is anfwered, that it is impoffible for more types of let¬ ters to be wanted for this method than by any other printer according to the equal quantity of bufinefs to be performed, every office having certain known quan¬ tities of each letter called a fount. A printer’s fount contains about 92,503 letters, and our want is not ‘ more; nay, nearer the truth, the prefent quantity for a fount containing much more of fome letters than neceffary, and fewer of others; which arifes from the calculation of the quantity of each letter wanted be¬ ing adhered to fince the old fpelling. 2 ] LOG Our author now proceeds to demonftratc that the Ln?cgra- number of types muft neceffarily decreafe as they are , combined into fyllables, and much more when formed ’ into words. The whole art of arranging the words confifts in placing them under as few divifions as pof- fible, and ftill fewer fubdivilions; which is attained by the following procefs, 1. A collection of words, with the addition of tenfes, plurals, and degrees of comparifon, amount¬ ing to more than 100,000, was made from the belt Englilh dictionaries. 2. Collections were made from the mifcellaneous part of 20 newfpapers, the Spectator, and Common Prayer- book. The method was, by procuring duplicates of every Iheet, fo that each alternate fide might be palled over with white paper, in order to leave the whole of the words on both fides perfeCt; and thus the whole might be touched with lefs danger of injury than other- wife could have been done. The confufion arifing from the parts of other words being feen from the oppofite fide was likewife prevented. 3. The words, being feparately cut out, were then put into a cafe marked with the divifions from one to 16, according to the number of letters contained in each word. Thus feveral letters w'ere diftinCtly col¬ lected; and then each feparate parcel forted in a cafe containing 26 divifions, marked with the letters of the alphabet, according to the commencing letter of the wrord; and thus all the words were ranged alpha¬ betically, confifting of two, three, four, or five let¬ ters, in feparate parcels. 4. The fame words were then placed together, and polled into an alphabet, with the number of times marked to each that had occurred on the whole; that in this manner a proportion might be determined how many times particular words ought to be repeated for the printing of one Iheet, and alfo to know wffiat words are in general ufe : There are likewife a num¬ ber of technical terms, and favourite phrafes a greaf number of times repeated almoft by every author, but though thefe occur throughout the whole book in great proportion to the reft, no more of them wall be neceftary than what fuffice for a fingle Iheet. 5. The whole of the above might be done without the trouble juft mentioned, by polling every wrord at once into a triformed alphabet ; becaufe the fubdivi- fious of the fecond and third commencing letter of each word for references are now obtained, and thus can eaiily be placed in its proper divilion, and may be marked as often as it occurs, without repeating the fame word; whence we plainly fee the eafe and expe¬ dition of it, from the facility and expedition of pelt¬ ing every word from a leaf in any book. Before fuch fubdivifions were known, they could only have been placed under the firft commencing letter of the word ; which would caufe fuch a multiplicity of repetitions, that it would take up more time, be far more liable to error, and require more fubordinate pollings to bring them into arrangement; fo that they may be found more eafily than by the above proceedings. Thus alfo a collection will be obtained of fingle and double words, which are conftantly required from 20 to 400 or 500 times in the printing one Iheet of any work whatever; and which alone would abridge the com- politor’s work near one-third. This fecond procefs likewife LOG [ 223 ] LOG lfosrnp:ra- likewlfe enabled the author to rejeft, out of the firft colleftion, obfolete words, technical terms, &c. which reduces the original colledtion to one fifth part. 6. By proceeding in this manner, feveral fpecies of words are omitted in the founts, x. Obfolete words; becaufe they occur fo feldom, that the difference of time loft in compofing them in the ordinary method would be imperceptible. 2. Technical terms, names of places, animals, &c.; though, for any particular work, the terms peculiar to it may be added to the fount in a biformed alphabet apart. 3. Real com¬ pounds, or words that may be compounded of others, are alfo rejected ; becaufe we aftually have the words already, and they may be joined with fufficient ex¬ pedition, though the fpaces are annexed to each, by being conftrudfed accordingly. 4. Thofe of the fame fpelling are likewife omitted, though they bear diffe¬ rent fignifications, for obvious reafons. ' 7. The variation of tenfes, degrees of comparifon, and numerous words in the Englifh language, having in general the fame terminations, fuch as ed, ing, ly, ment, ness, &c. an alphabet may be formed of fuch a kind as is capable of being annexed to the abfo- lute words or radices, as cxpeditioufly as the whole W'ord could be found in the fount, from its being thereby fo much lefs extended. Thus, by dividing fev eral words into their radices and terminations, many ether words may be formed from the radix by the ad¬ dition of various terminations, and each termination may be added to other radices to which they are ap¬ plicable. 8. Some radices are imperfeft, viz. fuch as end with the vowel e, which muft therefore be added in the ufual way of compofition. Thus, in the word adore, the radix is ador, to which the terminations es, ed, ejl, eth, er, ing, may be added occafionally. 9. By rejecting alfo the words which come under this laft denomination, the number neceffary for a fount is reduced to one-tenth of what it would other- wife be, as will”appear evident from the following con- iiderations : 1. There are at leaft 42 verbs, the infi¬ nitive of which ends in ify; as qualify, ftgnify; the radices of which are qual,Jign; the terminations are, ijitv, ified, ifying, &c. And Mr Johnfon informs us, that by applying thefe radices to other terminations, he was enabled to difpenfe with more than 500 W'ords which would otherwife have been neceffary. 2. For all regular verbs, no more than fix terminations are neceffary, viz. j, ejl, eth, ed, es, ing. There are but few irregular ones in the Englifh language ; whence it happens that 12 or 14w'ords maybe formed from one fingle perfedt verb as a radix, and many imperfeft ones fave double that number. 10. By ufing only the fet of terminations which may be contained in a box of two feet fquare, the common operation of printing would be fhortened near¬ ly one half; and in order to find out thofe which are moft in ufe, and fitteft to retain, our author digefted them alphabetically, with the radices, words, or fyl- lables, which make complete words annexed to them. Thus, tain,. 1 abs—apper—afeer * de—dis-—con ing I “r-cap—cur ——meat J tntcr—niain—re—^us> ^ 1 x. Thus it will be found, that out of more than Logogra- 100,000 words of which the Englifh language confifts, PhY‘ , there will not be wanted much above 3500 for a com- " , plete fount. This will be very evident to any perfon who confults a dictionary. He will there find, that a vail number of words require an explanation ; whereas in any mifcellaneous work, there are none but wdiat can be underftood moft readily either together or a- part. Newfpapers retain more of the uncommon kind of words than any others. “ The vocabulary (fays our author) or alphabet as it is called, of the Chi- nefe, confifts of above 80,000 letters or charadlers; yet he is admitted a mafter of the language w'ho knows about 4000 of them, no more being in general ufe.” The expedition with which the logographic method of printing can be accompliihed, depends effentially on their arrangement; which, from great numbers of ex¬ periments, our author found to be belt accomplilhed in the following manner: 1. Words of one, two, or three fyllables, are alphabetically placed by themfelves, including all poffible commencing fyllables, by which the compofitor cannot fail of finding the word either in whole or in part let it be what it will; and when the whole cannot be found at once, the remainder may ealily be found in fingle or double fyllables among the terminations. 2. All words above three fyllables have the fame alphabetical arrangement; the termina¬ tions being the lame at the bottom of each. Experi¬ ence Ihows, that by a very few leffons, the meaneit ca¬ pacity may determine the number of fyllables, and re¬ fer to the particular cafe containing words of that number, there being confpicuous references to each ; and by thus equalizing them, any perfon may poffefs himfeif very expeditioully of what he wants. Even boys who fcarce knew more than the letters of the al¬ phabet, were hardly a fortnight employed in this me¬ thod, when they could at the firft glance tell the num¬ ber of letters contained in any word. By this limplicity of arrangement, any intelligent perion, who never compofed in his life, by being pla¬ ced in a room with the apparatus, could compofe and print, without other previous initrudtion than defiring him to remember that the words under three fyllables, and thofe above three, are placed in feparate alphabets; and that whenever he wants a word, the firft letter is feen in capitals of two inches on the walls, the fecond in letters of one inch in right lines ; and where it is necefl’ary to have more columns than one for fuch fe¬ cond letter, the third is given in red down the co¬ lumn, comprehending about 12 divilions, to contain the types of the word coming under fuch reference. To exemplify this method as far as it can be done without actually feeing the apparatus, our author in- ftances the two words' Above and Unfortunately. In looking for the former, the firft letter, A, is feen upon the wall as already mentioned ; the fecond, B, is on the cafe under it, and down that column is OVE, oppofite to the cell containing the types of the whole w'ord ; which would be only three references inftead of five with fpaces, as in the common method. The other word, viz. Unfortunately, may be found by the fame references, though it contains 13 letters ; but “ admitting that practice will give the word as foon as a fingle letter, the average will be found eight for one.”—Our author’s explanation of the method in which this word might be compofed, however, feema by LOG [ 224 ] LOG vLogogra- "by no means intelligible.—“ For this diftinftion in Phy- the cafes (fays he), the alphabet, or rather marks of v firft reference in large charafters on the wall, is di¬ vided into two claffes, not as vowels and confonants, but as follows, viz. A, Con, Dif, E, In, O, P, S, Un, commencing references, the fecond or fubfequent letters of the words being in a right line from left to right, and down each column is found the remainder of the reference to the words, dillinguifhing always the third letter in red. The fecond diilinction is, that for all other commencing letters, the fecond letter of reference is in a column down, and the third letter in lines from left to right in red. Thefe are the directions given by our author for forming a fount of words ; the next requifite is a fount gf fyllables, formed in the following method : 1. A •complete fet of two letters was obtained in all their poffible combinations, amounting to 676. 2. Having next obtained the poffible combination of thefe letters, t/k. 17576, by retaining only all poffible fyllables, and words ofthreeletters, itis reduced to the jothpart,which anfwer all the purpofes of compofing with fyllables of two and three letters, for Latin, French, Engliffi, and all names, of perfons, places, and things, every pof- iible fy liable being comprehended among them. Hence it forms an univerfal triformed alphabet, where En¬ gliffi characters are ufed ; from whence all partial bi- formed and triformed alphabets in the arrangement of Engliffi, French, Latin, and all technical matters, are drawn. Though combinations of four letters are again 26 times the number of thofe of three letters, and five letters increafe in the fame ratio ; yet as much as all poffible combinations increafe in quantity pro¬ portionate to the number of letters combined, fo they decreafe in the aftual number of fyllables included among them, infomuch, that all the fyllables of four, five, fix, and feven letters together, are confiderably fewer than the fyllables of three letters only.—Be- fides the two founts already mentioned, a third was found neceffary for fuch terminations as are moft com¬ monly followed by particular punctuations; but, after fome confideration, this was judged unneceffary. Our author now proceeds to obviate fome objec¬ tions which mull naturally occur to one who firft hears of his invention. Thefe are, 1. A fingle letter damaged in a word renders the whole ufelefs. This is not denied by Mr Johnfon; but he contends, that the quantity of metal loft in this manner is quite trifling. 2. How are the blanks or fpaces in a line to be ma¬ naged, as thefe are by no means equal ? To this our author replies, that, at the time of wri¬ ting the pamphlet, he was undetermined whether it be moft eligible to have fpaces call along with the be¬ ginnings of words, or to fpace them in the common manner. The former would be more expeditious; and where a greater diftance is required, other fpaces may be introduced in the ordinary method. 3. How is a long word at the end of a line to be divided ? This may be eafily accompliffied by means of the fyl- labic fount already mentioned. 4. How is the error of fubftituting one word for another to be reftified ? N° 186. The anfwer to this is, that an error of the kind fpe- Lo^ogr> cified may be corrected in the very fame manner as is done in common printing. Long words may be di- Jl vided by means of the fyllabic fount already mention- , 'urni . ed, and the intervals between the words may be filled up with fpaces as ufual. LOGWOOD. See Hjematoxylon. LOHOCH, or Loch, in pharmacy, a compofition of a middle confiftence between a foft eleCtuary and a fyrup, principally ufed in diforders of the lungs. LOINS, in anatomy, the two lateral parts of the umbilical region of the abdomen. LOIRE, the largeft river in France, rifes in the mountains of the Cevennes, and, after running a courfe of about 50O miles, falls into the bay of Bifcay. LOKE, in mythology, the name of one of the deities of the northern nations, anfwering to the Ari- manes among the Perfians, whom they reprefent as at enmity both with gods and men, and the author of all the evils which defolate the univerfe. Loke is de- fcribed in the Edda as producing the great ferpent which incircles the' world ; which feems to have been intended as an emblem of corruption or fin : he alfo gives birth to Hela or death, the queen' of the infernal regions; and alfo to the wolf Fenris, that monfter who is to encounter the gods and deftroy the world. LOKMAN the Wise, an eminent philofopher a- mong the Eafterns. The Arabians fay he was the fon of Baura, the fon or grandfon of a fitter or aunt of Job. He was an Ethiopian, and a flave for fome time. It is related that he was born in the time of David, and lived till the age of the prophet Jonas. Some fup- pofe him to have been the fame with -difop the my- thologift : and indeed we find in the parables or apo¬ logues of Lokman in Arabic, many particulars that are feen in iEfop’s fables ; fo that it is not eafy to de¬ termine whether the Greek or the Arabian are the ori¬ ginals. He is faid to have been deformed in his per- fon ; but that this defeCt was fufficiently made up by the perfections of his mind. Some pieces of his are extant; and he was looked upon as fo excellent a per- fon, that Mahomet has inferted a chapter of the Ko¬ ran, called after his name, in which he introduces God as faying, “ We heretofore beftowed wifdom on Lok¬ man.”—It is related that he got his liberty on the fol¬ lowing occafion. His mailer having given him a bitter melon to eat, he eat it all. His mailer, furprifed at his exaCt obedience, alked, How it was poffible fpr him to eat fuch a naufeous fruit ? He anfwered, “ I have received fo many favours from you, that it is no wonder I ffiould once in my life eat a bitter melon from your hand.” This generous anfwer of the Have ftruck the mafter to fuch a degree, that he immediately gave him his liberty. M. Galland tranllated all the fables of Lokman, and Bidpai or Pilpay a bramin philofo¬ pher, which were publiffied at Paris in 1724. LOLIUM, darneLtL-grass, in botany : A genus of the digynia order, belonging to the triandria clafs of plants ; and in the natural method ranking under the 4th order. Gramma. The calyx is monophyllous, fixed, and uniflorous. The moft remarkable fpecies are, 1. The perenne, red darnel, or rye-grafs. This is very common in roads and dry paftures. It makes excellent hay upon dry, chalky, or fandy foils. It i* advantageoufly cultivated along with clover, and Iprmgs L O L [ 225 1 L O M Lollards, fprings earlier than other gralles; thereby fupplying food for cattle at a time when it is moil difficult to be obtained. Cows, horfes, and fheep eat it $ goats are not fond of it. 2. The temulentum, or white darnel, grows fpontaneoufly in ploughed fields. If the feeds of this fpecies are malted with barley, the ale foon occafions drunkennefs ; mixed with bread- corn, they produce but little effect unlefs the bread is eaten hot. LOLLARDS, in ecclefiaftical hiilory, a religious feft, differing in many religious points from the church of Rome, which arofe in Germany about the begin¬ ning of the 14th century; fo called, as many writers have imagined, from Walter Lollard, who began to dogmatife in 1315, and was burnt at Cologn : though others think that Lollard was no furname, but mere¬ ly a term of reproach applied to all heretics who con¬ cealed the poifon of error under the appearance of piety. The monk of Canterbury derives the origin of the : word Lollard among us, from lolium, “ a tare as if the Lollards were the tares fown in Chrift’s vineyard. Abeily fays, that the word Lollard fignifies “ praifing God,” from the German Men, “ to praife,” and ierr, “ Lordbecaufe the Lollards employed themfelves in travelling about frotn place to place, finging pfalms and hymns. Others, much to the fame purpofe, derive lollhard, lullhard, or lollert, lullert, as it was written by the an¬ cient Germans, from the old German word lullen. Id¬ ler), or lallen, and the termination hard, with which many of the High Dutch wor ds end. Lollen fignifies 64 to fing with a low voice,” and therefore Lollard is a finger, or one who frequently fings; and in the vulgar, tongue of the Germans it denotes a perfon who is continually praifing God with a fong, or fing¬ ing hymns to his honour. The Alexians or Cellites were called Lollards, becaufe they were public fingers who made it their bufinefs to inter the bodies of thofe who died of the plague, and fang a dirge over them in a mournful and indiftin& tone as they carried them > to the grave. The name was afterwards aflumed by perfons that difhonoured it; for we find, among thofe Lollards who made extraordinary pretences to piety and religion, and fpent the greateft part of their time in meditation, prayer, and fuch afts of piety, there were many abominable hypocrites, who entertained the moil ridiculous opinions and concealed the moll enormous vices under the fpecieus mark of this ex¬ traordinary profeffion. And many injurious afperfions were propagated againft thofe who affumed this name by the priefts and monks ; fo that, by degrees, any perfon who covered herefies or crimes under the ap¬ pearance of piety, was called a Lollard. Thus the name was not ufed to denote any one particular fe£l, but was formerly common to all perfons and all fefts who were fuppofed to be guilty of impiety towards God or the church, under an external profeffion of extraordinary piety. However, many focieties, confiil- ing both of men and women under the name of Lol¬ lards, were formed in moil parts of Germany and Flan- vlers, and were fupported partly by their manual la¬ bours, and partly by the charitable donations of pious perfons. The magiftrates and inhabitants of the towns where thefe brethren and filters refided, gave them Vol. X. Parti. particular marks of favour and prote&ion, on account Lollard* of their great ufefulnefs to the fick and needy. They U were thus fupported againft their malignant rivals, and tjom^ar **. obtained many papal conftitutions by which their in- ilitute was confirmed, their perfons exempted from the cognifance of the inquifitors, and fubjeiled en¬ tirely to the jurifdidlion of the biihops ; but as thefe meafures were infufficient to fecure them from mo- leftation, Charles duke of Burgundy, in the year 1472, obtained a folemn bull from Pope Sixtus IV. ordering that the Cellites or Lollards fhould be rank¬ ed among the religious orders, and delivered from thd jurifdi&ion of the biihops ; and Pope Julius II. grant¬ ed them yet greater privileges in the year 1506. Mo- Pneim informs us that many focieties of this kind are ftill fubfifting at Cologn, and in the cities of Flanders, though they have evidently departed from their an¬ cient rules. Lollard and his followers rejected the facrifice of the mafs, extreme unclion, and penances for fin ; ar¬ guing, that Chrift’s fufferings were fuffieient. He is likewife faid to have fet aiide baptifm, as a thing of no effedl; and repentance, as not abfolutely necefl’ary, &c.—In England, the followers of Wickliffe were called, by way of reproach, Lollards, from fome affinity there was between fome of their tenets ; though o- thers are of opinion, that the Engliih Lollards came from Germany. They were folemnly condemned by the archbiihop of Canterbury and the council of Oxford. LOMBARD (Lambert), an eminent painter, born at Liege in 1500 ; who, after a diligent ftudy of the ■ antique at Rome, introduced that ftyle of painting among his countrymen inftead of the Gothic. He painted hiftory, architedlure, and perfpe&ive ; and though he could never altogether free himfelf from his national gout, he is ranked among the bell painters of his time. Fie died in 1560. Lombard (Peter), well known by the title of Majler of the Sentences, was born at Novara in Lom¬ bardy ; but being bred at Paris, he diftinguiftied him¬ felf fo much at that univerftty, that he firft had the canomy of Chartres conferred on him, was fome time tutor to Philip fon of Louis le Gros, and laftly ob¬ tained the fee of Paris. He died in 1064. His work of the Sentences is looked on as the fource of the fcholaftic theology of the Latin church. . He wrote alfo Commentaries on the Pfahns, and on St Paul’s Epiftles. LOMBARDS, a Scandinavian nation, who for¬ merly fettled in Italy, and for fome time made a con* fiderable figure. e Their name of Lombards, or Longobards, is by fome Etymology derived from the word lack, or lache, fignifying in the the German tongue 'winter; becaufe the Lombards, while in Scandinavia, lived in marlhes, or near the fea. Others think that it comes from the two German words langen harden, or hellelorden, that is, from the long halbert* they were fuppofed to ufe in war. But Paulus Dia- conus their hiftorian, and who was himfelf a Lombardi, tells us, that they were called Longobards from the length of their beards. A nation called the Lombards is mentioned by Tacitus, Strabo, and Ptolemy; but thefe are different from the Lombards who afterwards fettled in Italy, and are reckoned to be the fame with F f the L O M [2 Lflmtocis the Gcpkire, whom the Italian Lombards almoil ex- terminated. The Lombards who fettled in Italy are a firft mentioned by Profper Aquitanus, biihop of Rhe- Vandals' ful army, in defence of th^ Romans and the church, .—y-—* if they Ihould be attacked either by the emperor or the Lombards. .On the other hand, the Romans were to acknowledge him for their protestor, and confer oa him the honour of the confullhip, as it had been for¬ merly conferred on Clovis by the emperor Anaftafius, after that prince had defeated the Viligoths. The am- balladors returned from France loaded with rich pre- fents. But Gregory did not long enjoy the fruit of their negociations ; for he died the fame year 731, and was fucceeded by Gregory III. in whofe time fome place the above-mentioned embafiy. The French nation was at this time juft recovered End of ths from its diftreffed fituation under the defcendants of Lomnard Clovis; and by the bravery and condmft of Charles m°narC Martel, had become the moll powerful kingdom in the weft. His fuccefibr Pepin was no lefs wife and powerful than his father had been ; and as the ambi¬ tion of the Lombard princes would be fatisfied with nothing lefs than, the entire conqueft of Italy, the French monarch, Charlemagne, under colour of affift- ing the pope, at laft put an end to the empire of Lombardy, as related under the 'article France, n-zi, 22. 43 The Lombards were at firft a cruel and barbarous Charadkr, nation ; but divefting themfelves by degrees of their &c< < f ‘h® native fiercenefs and barbarity, efpecially after they Loml)ar°3’ had embraced the Chriftian religion, they governed with fuch equity and moderation, that molt other na¬ tions envied the happinefs of thofe who lived under them. Under the government of the Lombards (fays Paulus Diaconus) no violence was committed, no one unjuftly difpolfeffed of his property, none oppreffed with taxes ; theft, robberies, murder, and adultery, were feldom heard of: every one went, without the leaft apprehenfion, wherever he pleafed. Their laws were fo juft and equitable, that they were retained in Italy, and obferved there fome ages after their king¬ dom was at an end.—-According to Paulus Diaconus, alfo, their drefs was loofe, and for the moll part of linen, fuch a* the Anglo-Saxons wore, being inter¬ woven with various colours; that their Ihoes were open to the end of their foot, and that they ufed to button or lace them. From fome ancient paintings, it appears, that they lhaved the back part of their heads, but that their hair was long before; their locks being parted, and laid on each fide their fore* heads. LOMBARD, or Lombart (Peter), an engraver of confiderable eminence, who flourilhed about the /ear 1660. He was a native of Paris, where he learn¬ ed the art of engraving. It appears that he came into England before the revolution, becaufe fome of his plates for Englith publications are dated prior to that event. He executed a vaft variety of plates, as well hillorical as emblematical; which, however, were chiefly for books. But his bell works are portraits ; and of thefe he pro¬ duced a confiderable number, which are efteemed. They are moftly after Vandyck.—He alfo engraved hiftori- cal fubjedls, from Poulfin, Raphael, Annibal Caracci, Guido, and other mailers. LOMFNTACF.L, in botany (from lomentum, a colon? I, O M [2 colour ufed by painters), the name of the 33d order in Linnaeus's Fragments- of a Natural Method, con- fitting of the following genera, many of which furnifh beautiful tinfhires that are ufed in dyeing, viz. ade- nanthera, banhinia, ccefalpina, caflia, ceratonia, cercis, gledittia,. guilandina, iia-matoxylon, liymensa, mimofa, parkinfonia, poinciana, polygama- See Botany, p. 464. Locu-LOMOND, a large lake of Dunbarton or Lennox.-ttiire in Scotland, of which Mr Pennant gives live following defcription. “ Loch-lomond, the latt, the moft beautiful of the Caledonian lakes. The ttrtt view of it from Tarbat prefents an exteniive ferpentine winding amidft lofty hills; on the north, barren, black, and rocky, which darken with their fliade that contra fled part of the water. On the weft fide, the mountains are cloathed near the bottoms with woods of oak quite to the water-edge y their fummits lofty, naked, and craggy. On the. eaft fide, the mountains are-equally high; but the. tops forma more even ridge parallel to the.lake,, except, where Ben-lomond, like Saul ajnidtt his companions,, overtops the reft. The ripper, parts were black and. barren ; the. lower had great marks of fertility, or at leaft of induftryy for the yellow corn was finely contrafted with the. verdure of the proves intermixed with,, it. “ This eaftern boundary is part of the Grampian hills, which extend from hence through the counties of Perth, Angus, Mearns,. and Aberdeen. , The road runs fometimes through, woods, at others is expofed and naked ; in fome, fo' fteep as .to require the fupport of a wall; the whole, the work of the foldiery: ble'ied exchange of infiruments of deftru&ion for tliofe that give fafety to the traveller, and a polilh to the once inacceffible native! T wo. great head-lands covered with trees feparate the firft fcene from one totally different; the laft is called the Point of Firkin. On palling this cape an expanfe of water, burfts at once on your eye, varied with all the fofter beauties of nature. Imme¬ diately beneath is a flat covered with wood arid corne beyond, the headlands ftretch far into the water, and confift of gentle rifings; many have their furfaces co¬ vered with wood,, others adorned with trees loofely flattered either over a fine verdure, or the purple bloom of the heath. Numbers of illands are difperfed over the lake, of. the fame elevated form as the little capes, and wooded in the fame manner ; .others juft peep a- bove the furface, and are tufted, with trees; and numr hers are fo djfpofed as to form magnificent vi.ftos be¬ tween. “ Oppofite Lufs, at .a fmali diftance from lhore, is a mountainous ille alnaoft covered, with wood ; is near luilf a mile, long, and has a moft fine effeif. I could not count the number of iflands, but was told there are 28; the largeft two miles long, ..and. flocked with deer. “ The length, of this charming lake is 24 Scotch miles; its greateft breadth 8 ; its greateft depth, which is between, the point of'Firkin and Ben-lbmond, is 120 fathoms. Befides the filh. common to the lochs are guiniads, called here poans. . “ The furface of .Loch-lomond has for feveral years faff been obferved gradually to increafe, and invade the adjacent Ihore: and there is reafon to fuppofe that churches, Jioufes, and other buildings, have, been loll 31 ] 1. o M in the water.' Near Lufs is a large heap of Hones at I-omond± a dillance from the Ihore,\ known by the nan>: of the zof- , old church ; and about a mile to the fouth of that, in the middle of. a large bay, between Camftraddan and the ille Inch-lavanack, is another heap, faid to have been the ruins of a houfe. To confirm this, it is evident by a pallage in Cambden's Atlas Britannica, that an illand, exilling in his, time, is now loft; for he fpeaks of the ifie of Camftraddan, placed between the lands of the fame name and Inch-lavanack, in which, adds he, was an houfe and orchard. Befides , this proof, large trees with their branches Hill adi hering are frequently found in the mud near the Ihore,. overwhelmed in former times by the increafe of water. This is fuppofed to be occafieaed by the vail quanti¬ ties of ttone and gravel that are continually brought down by the mountain rivers, and by the falls of the banks of the Leven ; the firft filling the bed of the lake, the laft impeding its difcharge through the bed of the river.” LOMONOZOF, vt celebrated Ruffian poet, the great, refiner of his native tongue,, was the fon of a perfon who trafficked in filh at Kolmogori: he was— born in 1711, and was fortunately taught to read ; a *, rare iuftance for a perfon of fo low a llation in Ruffia. His natural genius for poetry was firll kindled by the perufal of the Song of Solomon, done into verfe by Folotiki, whofe rude compofitions,. perhaps fcarcely fu- perior to our vtfifion of the pfalms by Sternhold and Hopkins, infpired him with fuch an irrefiftible paffion for the mufes, that he fled from his father, who was defirous of compelling him to marry, and took refuge in the Kaikonofpalki monailery at Mofcow ; there he had an opportunity of indulging his tatte. for letters, and of Undying' the Greek and Latin languages. In tliis feminary lie made fo confiderable a progrefs in po¬ lite literature, as to. be noticed .and employed by the Imperial academy of fciences. In. 1736 ,he. was fent at the expence of that fociety, ta the univerfity of Marpurgh in Heffe Caffel, where he became a fcholar of the celebrated Chriftian Wolf, under whom he Hu- died univerfal grammar, rhetoric, and philofophy. He continued at Marpurgh four years, during, which time r he applied himfelf. with indefatigable.-diligence to che- miftry, which lie. afterwards purfued with Hill greater fuccefs under the famous. Henekel at. Freyberg in Saxony.. In 1741 .he returned into. Ruffia ; was cho- fen in 1742 adjunct to the imperial academy; and in the enfuing year member, of that fociety and'profeffor of chemillry. In 1760 fie was appointed infpector of the feminary, then annexedthe academy ; in 1764 . he was gratified by the prefent emprefs with the title of counfeUqr of Hate ; and died April 4th that year, in >• the 54th year ofhis age. Lomonoaof excelled in va¬ rious kinds of compolition; but his chief merit, by which he bears the firft rank among the Ruffian wri¬ ters, is derived from his poetical compofttions, the fineli of which are his odes. The firft ,was written In 1739, while he iludied in Germany^ upon the taking of Kotfchin, a fortrefs.of Crini..Tartary, by Marlhai v Munich. The odes of Lomonozof are greatly ad¬ mired for originality of invention, fublimity of fentU ■ ment, and energy of language; and compeni’ate for the turgid llyle which, in fome inllances, have been im- - puled to. than,, .by that-fpirit and .-fire which are the pan*. LON [23: liomnno ■principal cliarafteriftics In this fp:c:es of cpmpcfitlon. J ondon rindar was his great model; and if we ma^- give cre- ^ ' dit to a perfon well verfed in the Ruffian tongue, he has fucceeded in this daring attempt to imitate the Theban bard, without incurring the cenfure of Ho¬ race. In this, as well as feveral other fpecies of com- poiition, he enriched his native language with various kinds of metre, and feems to have merited the appella¬ tion bellowed upon him of the Father of Ruffian Poe¬ try. A brief recapitulation of the principal works of Tomonozof, which were printed in three volumes oc¬ tavo, will ferve to (how the verfatility of his genius, and his extenfive knowledge in various branches of literature. The fir 11 volume, befide a Preface on the advantages derived to the Ruffian tongue from the ec- clefiaflical writings, contains ten facred and nineteen panegyric odes, and feveral occafional pieces of poetry. The fecond comprifes An Effay in Profe on the Rules for Ruffian Poetry ; Tranllation of a German Ode; Idylls; Tamira and Selim, a tragedy ; Demophoon,a tragedy ; Poetical Epiftle on the Utility of Glafs; two cantos of an epic poem, intitled, Peter the Great j A Congratulatoiy Copy of Verfes; An Ode; Tranflation of Bap till Rouffeau’s Ode Sur le Bonhmr; Heads of a Courfe of Leftures on Natural Philofophy ; certain pafiages tranflated in verfe and profe, according to the original, from Cicero, Erafmus, Lucian, iEIian, Am- mianus Marcellinus, Quintus Curtins, Homer, Virgil, Martial, Ovid, Horace, and Seneca, which Ruffian tranflations were brought as examples in his Lectures upon Rhetoric; laftly, Defeription of the Comet which appeared in 1744. The third volume conlifts chiefly of Speeches and Treatiies read before the Academy ; Panegyric on the Emprefs Elizabeth; on. Peter the Great; Treatife on the Advantages of Chemiftry; on the Phenomena of the Airoccafioned by the Ele&rical Fire, with a Latin tranflation of the fame ; on the Origin of Light as a new Theory'of Colours; Me¬ thods to determine with preciiion theCourfeofa Veffel; on the Origin ofMetaLby the means of Earthquakes; Latin Diflertation on Solidity and Fluidity; on the Tranfit of Venus in 1761, with a German tranflation. Befide thefe various fubjefts, Lomonozof made no in- confiderable figure in hiftory, having publiflied two fmall works relative to that of his own country. The firft, ftyled Annals of the Ruffian Sovereigns, is a fliort chronology of the Ruffian monarchs.; and the fecorid is, the Ancient Hiftory of Ruffia, from the Origin of that Nation to the Death of the Great Duke Yaro- flaf I. in 1054; a performance of great merit, as it il- luftrates the moft difficult and obfeure period in the annals of this country. LONDON, a large city of Middlefex in England, the metropolis of Great Britain, and one of the moft wealthy and populous places in the world, is lituated on the river Thames, in 5i°3i' north latitude, 400 miles fouth of Edinburgh, and 270 fouth-eaft of Dub¬ lin ; x8o miles weft of Amfterdam, 210 north-weft’of Paris, 500 fouth-weft of Copenhagen, 600 north-weft of Vienna, 790 fouth-weft of Stockholm, 800 north-eaft of Madrid, 820 north-weft of Rome, 85. • north-eaft of Lifloon, 1360 north-weft of Conftantinople, and 1414 1 fouth-weft of Mofcow. Its different This city was by the Romans firft called Londinium names. or Lundinum, as we find it in Tacitus, Ptolemy, An- N° 186. ! ] LON toninus, and Ammianus. That name was afterwards London, changed into si gujla ; in honour, as fome fay, of He- -r—' le,na Augufta, the mother of Conftantine the Great; while others think it more probable that it had this name from the fecond legion, whofe.peculiar title was ugufa; and fome imagine that the honourable ap¬ pellation of Augufta was conferred upon this city by the Romans, as upon other principal cities of their em¬ pire, on account of its being grown up to be the ca¬ pital of their Britifii province. How long the name of Augujla prevailed, is not now certainly known ; but after the eftablifliment of the Saxons we find no more mention of Augufta. It was then called Caer Lun- dain, Lundoun Byrig, Lunden Ceajler, Lunden-wye, Lundenne, Lundsn-herb, or Lur.denlurg ; fince the con- queft the records call it Londinia, Lundonia, Londine, Lt,mires; and, for feveral ages paft, it has been call¬ ed London, a manifeft corruption from Tacitus’s Lon¬ dinium. The moft probable derivation of thefe names appears to be, either from the Britifh words Ihong “ a (hip,” and din “ a town,” i. e. a town or harbour for (hips ; or from lAin “ a lake,” i. e. Llin din, “ the town upon the lake,” the Surry fide being fuppofed, upon very probable grounds, to have been anciently a great expanfe of water. % Londiuium, however, was not the primitive name When of this famous place, which exifted before the invafion founded, of the Romans ; being, at the time of Caefar’s arrival in the ifland, the capital of the Trimbantes or Trinou- a .tes. The name of this nation, as appears from Bax¬ ter’s Britiih Gloffaryf, v^as derived fvom the three. following Britifti w-ords, tri, nou, hunt, which fignify ' J the “ inhabitants of the new city.’b This name, it is fuppofed, might have been given them by their neigh¬ bours, on account of their having newly come from the continent into Britain, and having there founded acity called tri-now, or the “new city:” the moftancient name of the renowned metropolis of Britain. The Tri- Henry's nobantes had^come fo lately from Belgium, that they H'f - vol v feem fcarcely to have been firmly eftabliftied in Britain I7°* at the time of the firft Roman invafion : For their new city, which foon after became fo famous, w'as then fo inconhderable, that it is not mentioned by Csefar, tho’ he mull have been within, fight of the place where it was fituated. His filence about this place, indeed, is brought as a proof that he did not crofs the Thames; while Norden by the firmijfma civilas of the Triuoban- tes underftands the city in queftion the Trinobantes themfelves having been among the firll of the Britiih Hates who fubmitted to that conqueror. By Ptolemy, a«d fome other ancient writers of good authority, indeed, Londinium is placed in Cantium, or Cent, on the fouth ftde of the Thames; and it is the opinion of fome moderns, that the Romans pro¬ bably had a ftation there,, to (ecure their, conquefts on that fide of the river, before they reduced the Trino¬ bantes. The place fixed upon for this ftation is St George’s fields, a large plat of ground fituated between Lambeth and Southwark, where many Ro¬ man coins, bricks, and checquered pavements, have been found. Three Roman ways from Kent, Surry, and Middlefex, interfected each other in this place : this therefore is fuppofed to be the original Londinum, which it is thought became negle&ed after the Ro¬ mans reduced the Trinobantes, and fettled on the other 3 fide LON fide of tnc Thames ,* and the name was transferred to the new city. The fituation of this city, as Mr Pennant obferves, t *33 1 LON which might be adduced, that this city was *.he capi- t>"»ndonc tal of Britain in the Roman times. At firft London had no walls or other fortifications when firft was juft fuch as the people would feleft according to to defend it, and was therefore expofed to the attacks tufrounded When ta¬ ken poflef- fion of by the Ro- tmns. the rule cftablifhed among the Britons. An immenfe foreft originally extended to the river-fide, and even as late as the reign of Henry II. covered the northern neighbourhood of the city, and was filled with various fpecies of beafts of chace. It was defended naturally by fofles ; one formed by the creek which run along Fleet-ditch, the other afterwards known by that of Walbrook ; the fouth fide was guarded by theThames ; the north they might think lufficiently protected by the adjacent foreft. The Romans poffefled themfelves of London, on their fecond invafion in the reign of Claudius, about 105 years after their firft under Csefar. They had be¬ gun with Camalodunum, the prefent Maldon in Effex ; and having taken it, planted there a colony confifting of veterans of the 14th legion. London and Verulam of every enemy* and thus it fuffered feverely aboutw*hs» the year 64, being burnt by the Britons under Boa- dicea, and all the inhabitants maflacred. But it was foon reftored by the Romans } and increafed fo much, that in the reign of the emperor Severus it is called by Herodian a great and wealthy city. It continued, however, in a defencelefs ftate for more than a centu¬ ry after'this laft period 5 when at laft a wall of hewn ftone and Britifii bricks was erefted round it. London at this time extended in length from Lud- gate-hill to a fpot a little beyond the Tower. The breadth was not half equal to the length, and at each end grew confiderably narrower. Maitland aferibes the building of the walls to Theodofms governor of Britain in 3694 Dr Woodward, with more probabi¬ lity, fuppofes them to have been founded under the were next taken pofleflion of about one and the fame aufpices of Conftantine the Great; and this feems to time. Camalodunum was made a colonia, or place go- be confirmed by the numbers of coins of that empe- verned entirely by Roman laws and cuftoms; Verulam ror’s mother Helena, which have been difeovered un* (on the file of which St Alban’s now ftands), a muni- cij>ium, in which the natives were honoured with the privileges of Roman citizens, and enjoyed their own laws and conftitutions ; and Londinium only a preefec- tiira, the inhabitants, a mixture of Romans and Britons, being fuffered to enjoy no more than the name of citi- der them, placed there by him in compliment to her. The fame emperor made it a bilhop’s fee; for it ap¬ pears that the biftiopsof London and York, and ano¬ ther Englifii bifliop, were at the council of Ailes in the year 314; he alfo fettled a mint in it, as is plain from lortie of his coins. The ancient courfe of the wall Their aft. zens of Rome, being governed by Praefe&s fent annu- was as follows : It began with a fort near the prefent ci< ally from thence, without Imving either their own laws or magiftrates. “ It was even then of fuch concourfe fite of the Tower, was continued along the Minories, courfe, && and the back of Houndfditch, acrofs Bifliopfgate- (fays Mr Pennant), and fuch vaft trade, that the wife ftreet, in a ftraight line by London-wall to Cripple- conquerors did not think fit to truft the inhabitants with the fame privileges as other places of which they had lefs reafon to be jealous.” But others obferve, that this is a miftake; and that the Romans, in order to fecure their conqueft, and to gain the affedlions ofthofe Britons who had already fubmitted to their authority, made London equally a municipium or free city with gate ; then returned fouth ward by Crowder’s Well Alley, (where feveral remnants of lofty towers were lately to be feen) to Alderfgate; thence along the back of Bull and Mouth-ftreet to Newgate, and again along the back of the houfes in the Old Bailey to Ludgafe ; foon after which it probably finilhed with another fort, where the houfe, late the king’s print* Verulamium, as may be feen by referring to Aulus ting honfe, in Black Friars, now ftands: from, hence 'Ancient commerce pi London. Gellius, 1. 16. c. 13. and to Spanhem. orbis Roman, p. 37, 38. tom. ii. It is difficult to fay What were the particular articles another wall ran near the river fide, along Thames^ ftreet, quite to the fort on the eaftern extremity. The walls were three miles a hundred and fixty-five feet in of commerce exported from and imported into the circumference, guarded at proper diftances on the land f* T v- „ 1- T r. T M.. A FI 1. .G fY., I ~ -CY _ - a- ^^^ L ^u „ .... port of London at this period. The imports and ex¬ ports of the iftand in general we know: Strabo fays, “ Britain produceth corn, cattle, gold, filver, iron ; befides which, (kins, Haves, and dogs naturally excel- fide with fifteen lofty towers ; fome of them were re¬ maining within thefe few years, and poffibly may ftilh Maitland mentions one twenty-fix feet high, near Gra¬ vel-lane, on the weft fide of Houndfditch ; another, lent hunters, are exported from that ifland.” It is about eighty paces fouth-eaft towards Aldgate ; and probable that the two firft and three laft articles were the bafes of another, fupportihg a modern houfe, at exported from London ; and perhaps, too, the gagates the lower end of the ftreet called the VinCgaryard, or jet-ftone mentioned by Solinus as one of the pro- duftions of Britain, together with horfes, wete export¬ ed from thence. The imports were at firft fait, earth¬ en ware, and works in brafs, polifhed bits of bones fouth of Aldgate. The walls, when perfect, are fup- pofed to have been twenty-two feet high, the towers forty. Thefe, with the remnants of the Wall, proved the Roman ftru&ure, by the tiles and difpofition of emulating ivory, horfe-collars, toys of amber, glaffes, the mafonry. London-wall, near Moorfields, is now and other articles of the fame material. In the reign of Nero, as Tacitus informs us, Lon¬ don was become a city highly famous for the great conflux of merchants, her extenfive commerce, and plenty of all things. No fewer than feven of the four¬ teen itinera of Antoninus begin or end at Lon- . ...t.' L . , . 1 . .1 . r the moft entire part left of that ancient precinft. The gates, which received the great military roads, were four. The Praetorian way, the Saxon Watling ftreet, paffed under one, on the fite of the late Newgate ; veftiges having been difeovered of the road in digging above Holburn-bridge : it turned down to Dowgate, don ; which tends to corroborate the many proofs or more properly Dwr-gate or Water-gate, where Vpt. X. Parti. Gg there .London. London fubmits to the Saxons. Plundered by the Danes. R ecoTers under Al¬ fred the Creat. 10 Reduced to afhca. it Its govern¬ ment fet¬ tled. LON f 234 ] LON there was a trajeftus or ferry, to join it to the Wat- ling-ftjreet, which was continued to Dover. The Her- mih ftreet paffed under Cripplegate ; and a vicinal way went under Aldgate by Bethnal-green, towards Old- ford, a pafs over the river Lee to Duroleiton, the modern Leiton in Effex. After the Romans deferted Britain, a new and fierce race fucceeded. The Saxons, under their leaders Hengift and Horfa, landed in 448, having been invi¬ ted ever by the provincials as auxiliaries againft the Scots and Pi£ts; but quarrelling with their friends, they found means to eftablilh themfelves in the ifland, and in procefs of time entirely fubdued them, as re' lated under the article England, n° 31—44. Lon¬ don fell into the hands of thofe invaders about the year 457 ; and became the chief city of the Saxon kingdom in Effex. It fuffered much in the wars car¬ ried on between the Britons and Saxons : but it foon recovered; fo that Bede calls it a princely mart-town, under the government of a chief magiftrate, whofe title of port grave, or portrcve (for we find him cal¬ led by both names), conveys a grand idea of the mer¬ cantile ftate of London in thofe early ages, that re¬ quired a governor or guardian of the port. During the civil wars of the Saxons with each other, the Londoners had always the addrefs to keep themfelves neuter; and about the year 819, when all the feven Saxon kingdoms fell under the power of Egbert, Lon¬ don became the metropolis of England, which it has ever fince continued. During the invafions of the Danes, London fuffered greatly. In 849, thefe invaders entered the Thames .with 250 fhips, plundered and burnt the city, and maf- facred the inhabitants ; and two years after they re¬ turned with a fleet of 350 fail, fully determined to de- ftroy every thing that had efcaped their barbarity in the former expedition. At this time, however, they were difappointed ; moft of their troops being cut in pieces by king Ethelwolf and his Ion Athelbald ; yet fuch was the deftruftion made by thofe barbarians at London, that it fuffered more from thefe two incur- fions than ever it had done before. In the reign of king Alfred the Great, London be¬ gan. to recover from its former ruinous Hate. He re¬ built its walls, drove out the Danifh inhabitants who had fettled there, reftored the city to its former liberties and beauty, and committed the care of it t@ his fon- ii)-law, Elthelred duke of Mercia, in hopes that this might always be a place of fecure retreat within its Jfrong walls, whatever might happen from a foreign or domeftic enemy. In 893, however, he had the mor¬ tification to fee his capital totally reduced to afhes by an accidental fire, which could not be extinguifhed, as the houfes at that time were all built of wood. The walls, however, being conflrufted of incombuftible ma¬ terials, continued to afford the fame protection as be¬ fore ; the hoafes were quickly rebuilt, and the city di¬ vided into wards and precincts for its better order and government. This king alfo inftituted the office of ffieriff, tide nature of which, office made it neceffary to have it alfo in London fo that here we have the glim¬ merings of the order of magiftrates afterwards fettled in the city of London ; in the perfon of the portreve, or portgrave, or governor of the city, as fupreme ma¬ giftrate ; in the Iheriff, and in the officer or fubordi- nate magiftrate by what name foever then diftingurffi- Loaders, ed, which, being placed at the head of each ward or '1 ' v precinft, were anabgpus to the more modern title of aldermen and common-council men. Alfred having fettled the affairs of England in the Brick and moil prudent manner, direded his attention to the or- done namenting, as much as poffible, the city of London;houfcs fir& For this purpofe, he fpirited up the Engliih to an emu-ere O 200,000 O O 150,000 o o 233 ] LON - 1,500,00© o o 105689,000 O O It was never certainly known whether; this fire was accidental or defigned. A fufpicion fell upon the Pa1- pifts; and this gained fuch general credit, that it is af- ferted for a truth on the monument which is erefted in memory of the conflagration. Of the truth of this af- fertion, however, though there wras notfufficient proof, it had the effeft of making the Papifts moft violent¬ ly fufpe&ed and abhorred by the Proteftants, which fome time after proved very prejudicial to the city itfelf. Adefign From this calamity, ’ great as it was, London foon to Jet it recovered itfelf, and became much more magnificent on fire than before; the ftreets, which were formerly crooked again. and narrow, being now built wide and fpacious; and the induftry of its inhabitants repaired ‘the Ioffes they had fuftained. In '1679, the -city was again alarmed by the difcovery of a defign to deftroy it by fire a fe- cond time. Elizabeth Gxly, fervant to one Rind in Fetter-lane, having fet her matter’s houfe on fire, was apprehended on fufpicion, and confeffed, that fhe had been hired to do it by one Stubbs a Papift, for a re¬ ward of 5 1. Stubbs being taken into cuftody, ac- inowledged that he had perfuaded her to it; and that he himfelf had been prevailed upon by one father Gj^Ford his confeffor, who had affured him, that by burning the houfes of heretics he would do a great fer- vice to the church. He alfo owned that he had feve- ral conferences with Gifford and two Iriflimen on the affair. The maid and Stubbs alfo agreed in declaring, that the Papifts intended to rife in London, expefting to be powerfully fupported by a French army. In confequence of this difcovery, the Papifts were banifti- *d from the city and ten miles round, and five jefuits were hanged for the abovementioned plot. The Papifts thought to revenge themfelves, by for¬ ging what was called the meal-tub plot> in which the Prefhyterians were fuppofed to hatch treacherous de- Faruia*, figns againft the life of the king. Sir Edmondbury —-v—--* Godfrey alfo, who had been very adtive in his pro- ceedings againft the Papifts, was murdered by fomegivesocca- unknown perfons ; and this murder, together with iiaa to a their difcovering the falfehood of the meal-tub plot, quarrel fo exafperated the Londoners, that they refolved toWIth thc fhow their deteftation of Popery, by an extraordinary cour * exhibition on the 17th of November, Queen Eliza¬ beth’s acceffion to the throne, on wdiich day they had ufually burnt the pope in effigy. The proceffion began with a perfon on horfeback perfonating Sir Ed¬ mondbury Godfrey, attended by a bell-man proclaim¬ ing his execrable murder. He was followed by a per* fon carrying a large filver crofs, with priefts in copes, • Carmelites, and Gray-friars, followed by fix Jefuits : >, then proceeded divers waiters, and after them fome bifliops with lawn-fleeves, and others with copes and mitres. Six cardinals preceded the pope, enthroned in a ftately pageant, attended by divers boys with pots of incenfe, and the devil whifpering in his ear. In this order they marched from Bilhopfgate to Fleet-ftreet; and there, amidft a great multitude of fpetlators, committed his holinefs to the flames. This proceffion gave great offence to the court, at which the duke of York, afterwards James 11. had a great influence. The breach was farther widened by the choice of ftieriffs for that year. The candidates fet up by the court were rejefted by a majority of al- moft two to one; but this did not deter their par¬ ty from demanding a poll in their behalf, upon which a tumult enfuedr' This was reprefented by the Popifli party in fueh colours to the king, that he iffued out a commilfion that fame evening for trying the rioters*; which, however, was fo far from intimidating the reft, that they grew more and more determined, not only to oppofe the Popiffi party, but to exclude the duke of York from his fucceffion to the crown. In the mean time, the king prorogued the parlia¬ ment, to prevent them from proceeding in their in¬ quiry concerning the Popifli plot, and the exclufion- bill. Upon this the lord-mayor, aldermen, and com¬ mon-council, prefented a petition to his -majefty, in which they requefted, that he would permit the parliament to fit in order to complete their falutary meafures and councils. This petition was highly re¬ lented by the king; who, inftead of granting it, dif- •folved the parliament, and could never afterwards be reconciled to the city. From this time it was deter¬ mined to feize their charter; and frefh provocations having been given about the eleftion of flieriffs, a ilands on the -north oAhe city,, or either of them, his majefty may appoint Iheriffs Ihore of the river, from the Tower to the Temple, for the year enfuing. 4. That the lord mayor and? Occupying only that fpace formerly encompaffed by, the court of aldermen may, with the leave of his majefty, wall, which in circumference meafures but three miles difplaee any alderman, recorder, &c. 5.. Upon the and 165 feet. In this wall there were feven gates by cleftion of an alderman, if the court of aldermen (hall land, viz. Ludgate, Aldgate, Cripplegate, Alderfgate, judge and declare the perfon prefented to be unfit, the Moorgate, Bilhopfgate, which were all taken down ward lhall choofe again ; and upon a difapproval of in September 1760; and Newgate, the county gaol, a fecond choice,, the court, may appoint another in which was alio taken down in 1776, and a maflive. building ( LON [ 240 ] LON London, 'building erected a little fouth of it, which by the yrioters in 1780 received damage to the amount of Ja. 80,000. On the fide of the water there were Dow- gate and Billingfgate, long fince demolifhed, as well as the poftern-gate near the Tower. In the year 1670 there was a gate ere&ed called Temple-Bar, which terminates the bounds of the city weftward. The fiterties, or thofe parts of this great city which are fub- jedl to^its jurifdi&ion and lie without the walls of Tondon, are bounded on the eaft, in White-chapel, the Minories, and Bifliopfgate, by bars, which were formerly ports and chains, that were frequently taken away by arbitrary power, when it was thought pro¬ per to feize the franchifes of the city of London ; on the north, they are bounded in the fame manner in Pick-ax ftreet, at the end of Fan-alley, and in St John’s ftreet: on the weft, by bars in Holborn : at the eaft end of Middle Row, and at the weft end of Fleet-ftreet, by the gate called Temple-Bar, already mentioned : on the fouth, we may include the jurif- diftion which the city holds on the river Thames, and over the borotigh of Southwark. Tiie city, including the borough, is at prefent divid- ed into 26 wards. Divifion in- 1 • Alderfgate ward lakes its name from a city-gate £0 wards, which lately flood in the neighbourhood. It is bound¬ ed on the eaft by Cripplegate ward; oil the weft, by Farringdon ward within and without; and on the fouth, by Farringdon ward within. It is very large, and is divided into Alderfgate-within and Alderfgate- without. Each of thefe divifions confifts of four pre- cindts, under one alderman, eight common-council men, of whom two are the alderman’s deputies, eight cohftables, fourteen inqueft-men, eight fcavengers, and a beadle; exclufive of the officers belonging to theliberty of St Martin’s le Grand, which contains 168 houfes. 2. Aldgate takes its name alfo from a gate, which was of great antiquity, being mentioned in king Ed¬ gar’s charter to the knights of the Knighton Guild about the year 967 ; and was probably of a much more ancient foundation, for it was the gate through which the Roman Vicinal way lay to the ferry at Old- ford. In the time of the wars betwixt king John and his barons, the latter entered the city through this gate, and committed great devaftations among the houfes of the religious. Aldgate was rebuilt by the leaders of the party after the Roman manner. They made ufe of ftone which they brought from Caen, and a fmall brick called the Flanders tile, which Mr Pen¬ nant thinks has been often miftaken for Roman. The new gate was very ftrong, and had a deep well within it. In 1471 this gate was aflaulted by the Ballard of Falconbridge, who got pofleffion of it for a few hours ; but the portcullis being drawn up, the troops which had entered were all cut off, and the citizens, headed by the alderman of the ward and recorder, having made a fally, defeated the remainder with great flaugh- ter. In 1606 Aldgate was taken down and rebuilt; and many Roman coins were found in digging the foundations.—The ward of Aldgate is bounded on the eaft by the city-wall, which divides it from Port- foken-ward ; on the north, ‘ by Bilhopfgate ward; on the weft, by Lime-ftreet and Langboum wards ; and ' on the fouth, by Tower-ftreet ward. It is governed by an alderman, fix common-council men, fix conltables, N° J 86. twenty inqueft-men, feven fcavengers, and a beadle} London, befides the officers belonging to St James’s, Duke’s Place.—It is divided into feven precindts. 3. Baffl/haw or Bajtnghall ward, is bounded on the eaft and fouth by Coleman-ftreet ward, on the north by part of Cripplegate, and oh the weft by part of the wards of Cheap and Cripplegate. On the fouth, it begins at Blackwell-hall; and runs northward to London-wall, pulled down fome time ago to make way for new buildings in Fore-Jlreet, and fpreads 88 feet eaft, and 54 feet weft againft the place where that wall Hood. This is a very fmall ward, and confifts only of two precindts : the upper precindt contains no more than 66, and the lower only 76 houfes. It is governed by an alderman, four common-council men, of whom one is the alderman’s deputy, three con- ftables, feventeen inqueft-men, three fcavengers, and a beadle. It has its name from Bafinghall, the man- fion-houfe of the family of Bafins, which was the principal houfe in it, and flood in the place of Black¬ well-hall. 4. Billingfgate ward is bounded on the eaft by Tower-ftreet ward; on the north, by Langbourn ward; on the weft, by the ward of Bridge-within } and on the fouth, by the river Thames. There have been many conjedtures concerning the origin of the name of Billingfgate, none of which feems to be very well authenticated. It is, for inftance, fuppofed td have derived its name from a Britifh king named Belinus, faid to have been an affiftant of Brennus king of the Gauls at the taking of Rome, and is the fame with the Beli-Maur mentioned in the Welfh genea¬ logies. The name of Ludgate is faid to be derived from his fon Lud.—It is divided into 12 precindls J and is governed by an alderman, to common-council men,* one of whom is the alderman’s deputy, 11 con- ftables, 14 inqueft-men, fix -fcavengers, and a beadle. The fituation of Billingfgate, on the river, gives it great advantages with refpedl to trade and merchan¬ dize ; fo that it is well inhabited, and is in a conti* nual hurry of bufinefs at the feveral wharfs or quays. 5. Bijhopfgate ward i* bounded'on the eaft by Aid- gate ward, Poftfoken ward, arid part of the Tower- liberty, or Norton-falgate; on the weft, by Broad-ftreet ward and Moorfields ; and on the fouth, by Langbourn ward. It is very large, and divided into Bifhopfgate- within and Bifhopfgate-without. The firft contains all that part of the ward within the; city-wall and gate, and is divided into five precindls; tire fecond lies without the wall, and is divided into four precindts. Bifhopfgate-withOut extends to Shoreditch, taking its name from one Sir John de Sordich, an eminent law¬ yer much in favour with king Edward III. both on account of his knowledge in the law, and of his perfonal valour. In the time of Henry VIII. one Barlo, a citizen and inhabitant of this place, was named duhe of Shoreditch, on account of his fkill in archery ; and, for a number of years after, the title belonged to the captain of the London archers. This ward is governed by an alderman, two deputies, one within and the other without, 12 common-council men, feven conftables, 13 inqueft-men, nine fcavengers, and two beadles. It took its name from the gate, which has been pulled down to make that part of the city more airy and commodious. This gate was built by Erkenwald LON [ 241 ] LON London- Erkenwald bifhop of London in 675: ; and it is faid *1 v1 ■ to have been repaired by William the Conqueror foon after the Norman conqueft. In the time of Henry III. the Hanfe merchants had certain privileges confirmed to them, in return for which they were to fupport this gate ; and in confequence of this they rebuilt it elegantly in|i479. There were two ftatues of bilhops, in memory of the founder and firft repairer; other two were alfo put up, which are fuppofed to have been defigned for Alfred and iEldred earl of Mercia, to whofe care the gate had been committed. 6. Bread-Jlreet ward is encompafled, on the north and north-weft, by the ward of Fardingdon-within ; on the eaftj'byCordwainer’s ward; on the fouthby Queen- hithe-ward ; and on the weft, by Caftle-Baynard ward. It is divided into 13 precin&s ; and is governed by an alderme.i, 12 common council-men, of whom one is the alderman’s deputy, 13 conftables, 13 inqueft-men, 13 fcavengers, and a beadle ; and yet contains no more than 331 houfes. It takes its name from the ancient bread-market, which was kept in the place now called Bread-Jlreet; the bakers being obliged to fell their bread only in the open market and not in (hops. 7. Bridge-ward within is bounded on the fouth by the river Thames and Southwark; on the north, by Langbourn and Biftiopfgate ward ; on the eaft, by Billingfgate j and on the weft, by Candlewick and Dowgate wards. It is divided into 14 precinfts, three of which were on London-bridge ; and is go¬ verned by an alderman, 15 common-council men, one of whom is the alderman’s deputy, 14 conftables, 15 inqueft-men, 14 fcavengers, and a beadle. It takes its name from its connexion with London-bridge. 8. Broad-Jlreet ward is bounded, on the north and eaft, by Biftiopfgate ward ; on the fouth, by Cornhill and Wallbrook ward ; and on the weft by Coleman- ftreet ward. It is divided into 1 o precin&s ; and go¬ verned by an alderman, 10 common-council men, one of whom is the alderman’s deputy, 10 conftables, 13 inqueft-men, eight fcavengers, and a beadle. It has its name from that part of it now diftinguiftied by the name of Old BroadJlreet; and which, before the fire of 1666, was accounted one of the broadeft ftreets in London. 9. Candlewick ward. Candle wick Jlreet, or Candle- wright Jlreet ward as it is called in fome ancient re¬ cords, is bounded on the eaft by Bridge ward ; on the fouth, by Dowgate and part of Bridge ward ; on the weft, by Dowgate and Wallbrook ; and on the north, by Langbourn ward. It is but a fmall ward, confift- ing of about 286 houfes; yet is divided into feven precinfts. It is governed by an alderman, eight common-council men, of whom one is the alderman’s deputy, feven conftables, 13 inqueft-men, feven fca¬ vengers, and a beadle. It has its name from a ftreet, formerly inhabited chiefly by candle wrights or candle- makers, both in tallow and wax : a very profitable bu- ftnefs in £he times of Popery, when incredible quanti¬ ties of wax-candles were confumed in the churches. That ftreet, however, or at leaft its name, Candlewick, re loft fince the great conflagration, for which the name Canon-Jlreet is fubftituted, the candle wrights being at that time burnt out and difperfed through the city. 10. Cajlle-Baynard ward is bounded by Queen- Vol. X. Part I. ^ hithe and Bread-ftreet wards on the eaft ; on the fouth, London, by the Thames ; and on the weft and north, by the ward of Farringdon-within. It is divided into 10 pre¬ cincts, under the govermnent of an alderman, 10 com¬ mon council-men, one of whom is the alderman’s de¬ puty, nine conftables, 14 inqueft-men, feven fcaven¬ gers, and a beadle. It takes its name from a caftle * built on the bank of a river by one Baynard, a fol- dier of fortune, who came in with William the Con¬ queror, and was by that monarch raifed to great ho¬ nours and authority. 11. Cheap ward is bounded on the eaft by Broad- ftreet and Wallbrook wards ; on the north, by Cole- man-ftreet, Baffifhaw, and Cripplegate ; and on the fouth, by Cordwainer’s ward. It is divided into nine precinfts ; and is governed by an alderman, 12 common- council men, of whom one is the alderman’s deputy, ix conftables, 13 inqueft-men, nine fcavengers, and a beadle. It has its name from the Saxon word chepe, which' fignifies a market, kept in this divifion of the city, now called Cheapfide; but then known by the name of WeJlcheap, to diftinguilh it from the market then alfo kept in Eaftcheap, between Canon or Candle- wick ftreet and Tower-ftreet. 12. Colemanjlreet ward is bounded on the eaft by Bifhopfgate, Broadftreet, and Cheap wards; on the north, by Cripple-gate ward, Middle Moorfields, and Biftiopfgate ; on the fouth, by Cheap ward ; and on the weft, by Bafliftiaw ward. It is divided into fix pre- cincfts ; and is governed by an alderman, fix common- council men, one of whom is the alderman’s deputy, fix conftables, 13 inqueft-men, fix fcavangers, and a beadle. The origin of the name is not certainly known. 13. Cordwainers ward is bounded on the eaft by Wall-brook, on the fouth by Vintry ward, on the weft by Bread-ftreet, and on the north by Cheap-ward. It is divided into eight precinfts; and is governed'by an alderman, eight common-council men, one of whom is the alderman’s deputy, eight conftables, 14 inqueft men, eight fcavangers, and a beadle. Its proper name is Cordwainers-Jlreet ward; which it has from Cordwainers ftreet, now Bow-lane, formerly occu¬ pied chiefly by ftioemakers and others that dealt or worked in leather. 14. Cornhill ward is but of fmall extent. It is bounded on the eaft by Bifhopfgate, on the north by Broad ftreet, on the weft by Cheap ward, and on the fouth by Langbourn ward. It is divided into four precintts, which are governed by one alderman, fix common-council men, of whom one is the alderman’s ’ deputy, four conftables, 16 inqueft.men, four fcaven¬ gers, and a beadle. It takes its name from the prin¬ cipal ftreet in it, known from the earlift ages by the name of Cornhill, becaufe the corn-market was kept there. 15. Cripplegate ward is bounded on the eaft by Moorfields, Coleman-ftreet ward, Baflifhaw ward, and Cheap ward ; on the north by the parifh of St Luke’s, Old-ftreet; on the weft, by Alderfgate ward; and on the fouth, by Cheap-ward. It is divided into 13 pre- cinfts, nine within and four without the wall; and is governed by an alderman, 12 common council men, of whom two are the alderman’s deputies, 13 conftables, 34 inqueft-men, 16 fcavengers, and three beadles. It H h takes LON [ 242 ] LON London, takes its name from Cripplegatc, which flood on the * y north-weft part of the city-wall. It was an old plain ftru&ure, void of all ornament, with one poftem ; but from fome lime-kilns that were formerly built in or London, near Lime-ftreet. y——* 21. Portfoken ward is bounded on the eaft by the had more the appearance of a fortification than any of parifhes of Spitalfields, Stepney, and St George’s in the other gates. It was removed in order to widen the eaft ; on the fouth, by Tower-hill; on the north, the entrance into Wood-ftreet, which, by the nar- by Bifhopfgate ward, and on the weft by Aldgate *rownefs of the gateway, was too much contracted and rendered dangerous for paffengers and great wag¬ gons. 16. Dow^ate ward is bounded on the eaft by Candle- wick and Bridge wards, on the north by Wallbrook ward, on the weft by Vintry ward, and on the’fonth by the Thames. It is divided into eight precin&s, under the government of an alderman, eight common- council men, of whom one is the alderman^ deputy, eight conftables, 15 inqueft-men, five fcavenge'rs, and a beadle. It has its name from the ancient water-gate. ward. It is divided int© five precincts; and is go¬ verned by an alderman, five commofi-council men, one of whom is the alderman's deputy, five conftables, inqueft-men, five fcavengers, and a beadle. Its name fignifies the franchife of the liberty gate. This Portfoken was for fome time a guild ; and had its beginning in king Edgar, when 13 knights, “ well-beloved of the king and realm, for fervices by them dene,” requefted to have a certain portion of land on the eaft part of the city left defolate and forfaken of the inhabitants by reafon of too much fervitude. They befought *he king called Dour gate, which was made in the original wall to have this land, with the liberty of a guild for ever. that ran along the north fide of the Thames, for the fecurity of the city againft all attempts to invade it by water. 17. Farringdon ward within is bounded on the eaft by Cheap ward and Baynard-caftleward ; on the nortlt, by Alderfgate and Cripplegate wards, and the liberty of St Martin’s le Grand ; on the weft, by Farringdon- withoiit; and on the fouth, by Baynard-caftle ward, and the river Thames. It is divided into iB precincts; and governed by one alderman, 17 common-council men, of whom one is the alderman’s deputy, 19 con¬ ftables, 17 ' inqueft-men, 19 fcavengers, and two beadles. It takes its name from William Farringdon . citizen and goldfmifh of London, who, in 1279, Pur“ chafed all the aldermanry with the appurtenances, within the city of London and fuburbs of the fame, between Ludgate and Newgate, and alfo without thefe gates. IB. Farringdon-ward without is bounded on-the eaft by Farringdon within, the precindt of the late priory of St Bartholomew near Smithfield, and the ward of Alderfgate ; on the north, by the charter-houfe, the parifli of St John’s Clerkenwell, and part of St An¬ drew’s pariih without the freedom ; on the weft, by High Holborn and St Clement’s parifh in the Strand ; and on the South by the river Thames. It is governed by one alderman, 16 common-council men, of whom two are the alderman’s deputies, 23 conftables, 48 in¬ queft-men ; 24 fcavengers; and four beadles. It takes: Its name from the fame goldfmitli who gave name to Farringdon-within. 19. LanghorM ward is bounded on the eaft by Aid- gate ward; on the north, by part of the fame, and Limeftreet ward ; on the fouth, by Tower-ftreet, Bil- lingfgate, Bridge, and Candlewick wards; and on the weft by Wallbrook. It is divided into 12 precinits. It had its name from a rivulet or long bourn of frelh- Water, which anciently flowed from a fpring near The king granted their requeft on the following condi¬ tions, m%. that each of them fhould vi&orionfly accom- plifti three combats, one above the ground, one under ground, and the third in the water: and after this, at a certain day, in Eaft Smithfield, they fliould run with fpears againft all comers. All this was glorioufly per¬ formed ; upon which the king named it Knighten Guild, and extended it from Aldgate to the places where the bars now are on the eaft, and to the Thames on the fouth, and as far into the water as an horfeman could ride at low water and throw his fpear. 22. §>ueen-hithe w&rd is bounded on the eaft by Dowgate, on the north by Bread-ftreet and Cord- wainers wards, on-the fouth by the Thames, and on the weft by Caftle-Baynard ward. It is divided into nine precindls; and is governed by one alderman, fix com¬ mon-council men, one of whom is the alderman’s depu¬ ty, and nine conftables. It has its name from the hithe% or harbour for large boats, barges, and lighters; for which, and even for (hips, it was the anchoring place, and the key for lading and unloading vefiels almoft of any burden ufed in ancient times. It has the name of queen, becaufe the queens of England ufually pofleffed the tolls and cuftoms of veffels that unloaded goods at this hithe, which were very confiderabk. 23. Tower ward, or Tower-flreet ward, is bounded on the fouth by the river Thames, o-n the eaft by1 Tower-hill and Aldgate ward, on the north by Lang- bourn ward, and on the weft by Billingfgate ward. It is governed by one alderman, 12 common-council men, of whom one is the alderman’s deputy, 12 conftables, 13 inqueft men, 12 fcavengers, and one beadle. It takes its name from Tower-Jlreet, fo called becaufe it leads out of the city in a direft line to the principal entrance of the Tower of London. 24. Vintry ward is bounded on the eaft by Dow¬ gate, on the fouth by the Thames, on the weft by Queen-hi tlie ward, and on the north by Cordwainers Magpye alley adjoining to St Catherine Coleman’s ward. It is a finall ward, containing only 418 houfes ; 1 1 but is divided into nine precinfts, and governed by an- alderman, nine common-council men, one of whom ia the alderman’s deputy, nine conftables, 13. inqueft- men, three fcavengers, and a beadle. It takes its name from the vintners or wine-merchants of Boilr- deaux, who formerly dwelt in this part of the city, were obliged to land their wines on this fpot, and to fell them in 40 days, till the 28th of Edward I. 5 church. 20. Limejlreet ward is bounded on the eaft and north by Aldgate wa rd, on the weft by Bifhopfgate; and on the fouth by Langbourn ward. It is divided into four precincts ; and governed by an alderman, four common-council men, one of whom is the alderman’s deputy, four conftables, 13 inqueft-men, four fcaven¬ gers, and a beadle. It is very finall; and has its name LON 2y, Wa!l-lrook ward is bounded i [ 243 1 LON Langbourn, on the fouth by Dowgate ward, on the weft by Cordwainers ward, and on the north by Cheap ward. It is {mail, containing only 306 hpufes; but is divided into feven precinfts, and governed by an alderman, eight common-council men, of whom one the eaft by termine any difference that may happen among the London. citizens, and to do other bufmefs incident to the office - of a chief magiftrate. Once in fix weeks, or eight times in the year, he fits as chief judge of Oyer and Terminer, or gaol-delivery of Newgate for London and the county of Middlefex. His jurifdiiftion ex- the alderman’s deputy, feven conftables, 13 inqueft- tends all over the city and fuburbs, except fome places men, fix fcavengers, and a beadle. It has its name from the rivulet Wall-brook., that ran down the ftreet of this name into the river Thames near Dowgate; but in procefs of tiipe it was fo loft by covering it with bridges and buildings upon thofe bridges, that its channel became a common fewer. 26. The ward of Bridge-without includes the borough of Southwark, and the parifties of Rotherhithe, Newing¬ ton, and Lambeth. It has its name from London- bridge, with the addition of the vtovA without, becaufe the bridge muft be pafled in order to come at it. Wejl- mwjler is generally reckoned a part of London, tfto’ that are exempt. It extends alfo from Colneyditch, above Staines-bridge in the weft, to Yeudale, or Yenflete, and the mouth of the river Medway, and up that river to Upnor-caftle, in the eaft: by which he exercifes the power of punifhing or corredting all perfons that fhall annoy the ftreams, banks, or fifii. For which purpofe his lordfhip holds feveral courts of confervancy in the counties adjacent to the faid river, for its confervation, and for the punifiiment of offen¬ ders. See the article MayorV-Ccw/. 35 The title of dignity, alderman, is of Saxon original, Aldermen, and of the greateft honour, anfwering to that of earl; under a diflindt government; and has long been famous though now it is nowhere to be found but in charter- Govern- ment of London. for the palaces of our kings, the feat of our law tri¬ bunals, and of the high court of parliament 5 all which {hall be deferibed in their order. The city and liberties of London are under an eccle- fiaftical, a civil, and a military government. As to its eccleftajlical government, London is a bi- fhop’s fee, the diocefe of which comprehends not only Middkfex, EfTex, and part of Hertfordlhire, but the Rritilh plantations in America. The biftiop of Lon¬ don takes precedency next to the archbifhops of Can¬ ed focieties. And from hence we may account for the reafon why the aldermen and commonalty of London were called barons after the conqueft. Thefe magi- ftrates are properly the fubordinate governors of their refpedlive wards under the lord-mayor’s jurifdi&iou : and they originally held their aldermanries either by inheritance or purchafe ; at which time the alderman¬ ries or wards changed their names as often as their governors or aldermen. The oppreffions, to which the citizens were fubjeft from fuch a government, put them terbury and York ; but the following parilhes of this upon means to abolilh the perpetuity of that office ; and city are exempt from his jurifdi&ion, being peculiars they brought it to an annual ele&ion. But that man- under the immediate government of the archbHhop of ner of ele&ion being attended with many inconvenien- Canterbury; wz. All-hallows in Bread-ftreet, All¬ hallows Lombard-ftreet; St Dionys Back-church, St Dunftan in the Eaft, St John Baptift, St Leonard Eaftcheap, St Mary Aldermary, St Mary Bothaw, and becoming a continual bone of contention amongft the citizens, the parliament, 17 Richard II, A. 1). ‘1394, enadted, That the aldermen of London iliould continue in their feveral offices during life or Lord- mayor. returned by the lord-mayor (or other returning officer in his ftead, duly qualified to hold a court of wardmote) to the court of lord-mayor and aldermen, by whom the perfon fo returned muft be admitted and fworn into the St Mary le Bow, St Michael Crooked-lane, St Michael good behaviour. And fo it ftill continues: though Royal, St Pancras Soper-lane, and StVedaft Fofter-lane. the manner of electing has'feveral tiroes varied. At The c'.v l government of London divides it into wards prefent it is regulated by an aft of parliament, pafled andprecinfts, under a lord-mayor, aldermen, and com- in the year 1724-5 : and the perfon fo elefted is to be mon-council. The mayor, or lord-mayor, is the fupreme magi¬ ftrate, chofen annually by the citizens, purfuant to a charter of King John. The prefent manner of eleft- ing a lord-mayor is by the liverymen of the feveral office of alderman before he can aft. If the perfon companies, affembled in Guildhall annually on Michael- chofen refufeth to ferve the office of alderman, he is mas-day, according to an aft of common council in finable 5001. A, D. 1476, where, and when, the liverymen choofe,. Thefe high officers conftitute a fecond part of the or rather nominate, two aldermen below the chair, city legiflature when affembled in a corporate capacity, who have ferved the office of fheriff, to be returned to andexercife an executive power in their refpeftive wards, the court of aldermen, who may choofe either of the The aldermen who have paffed the chair, or ferved the two ; but generally declare the fenior of the two, fo high office of lord-mayor, are juftices of the quorum ; returned, to be lord-mayor eleft. The eleftion be- and all the other aldermen are not only juftices of the ing over, the lord-mayor eleft, accompanied by the peace, but by the ftatute of 43 Eliz. intitled, An acl recorder and divers aldermen, isfoon after prefented to for the relief of the poor, “ every alderman of the city the lord-chancellor (as his majefty’s reprefeiitative in of London, within his ward, Hi all and may do and the city of London) for his approbation; and on the execute, in every refpeft, fo much as is appointed and 9th of November following is {worn into the office of allowed by the faid aft to be done or executed by one mayor at Guildhall; arid on the day after, before the or two juftices of peace of any county within this barons of the exchequer at Weftminfter; the pro- realm.” They every one keep their 'wardmote, or ceffion on which occafion is exceedingly grand and court, for chooiing n urd-officers and fettling the affairs magnificent. of the ward, to redrefs grievances, and to prefent all The lord-mayor fits every morning at the manfion- defaults found within their refpeftive wards, houfe, or place where he keeps his mayoralty, to de~ The next branch of the legiflative power in this H h 2 city LON L 244 ] LON London, city is the common-council. The many inconveniences “ that attended popular aflemblies, which were called Confmon- f°^motei determined the commonalty of London to council. choofe reprefentatives to aft in their name and. for their intereft, with the lord-mayor and aldermen, in all affairs relating to the city. At firft thefe reprefehta- tives were chofen out of the feveral companies: but that not being found fatisfaftory, nor properly the reprefentatives of the whole body of the inhabitants, it was agreed to choofe a certain number of difcreet men ©ut of each ward : which number has from time to time increafed according to the dimenfions of each ward : and at prefent the 25 wards, into which Lon¬ don is divided, being fubdivided into 236 precinft», each preeinft fends a reprefentative to the common- council, who are elefted after the fame manner .as an alderman, only with this difference, that as the lord- mayor prefides in the wardmote, and is judge of the poll at the eleftion of an alderman, fo the alderman of each ward is judge of the poll at the eleftion of a common-council man. Thus the lord-mayor, aldermen, and common- council, when aflembled, may be deemed the city par¬ liament, refembling the great council of the nation. For it confifts of two houfes; one for the lord-mayor and aldermen, or the upper-houfe j another for the commoners or reprefentatives of the people, commonly called the common-council men. And they have power in their incorporate capacity to make and repeal bye¬ laws ; and the citizens are bound to obey or fubmit to thofe laws. When they meet in their incorporate ca¬ pacity, they wear deep-blue filk gowns: and their affemblie* are called the court of common-council, and their ordinances a£h of common council. No aft can be performed in the name of the city of London with¬ out their concurrence. But they cannot affemble with¬ out a fummons from the lord-mayor; who, neverthelefs, is obliged to call a common-council, whenever it (hall be demanded, upon extraordinary occafions, by fix 37 reputable citizens and members of that court. Sheriffs. This corporation is alfifted by two (heriffs and a recorder. The (heriffs are chartered officers, to perform certain fuits and fervices, in the king's name, within the city of London and county of Middlefex, chofen by the liverymen of the feveral companies on Midfum- mer day. Their office, according to Cambden, in ge¬ neral, is to colleft the public revenues within their fe¬ veral jurifdiftions; to gather into the exchequer all fines belonging to the crown ; to ferve the king’s writs of procefs; to attend the judges, and execute their or¬ ders ; to impannel juries ; to compel headftrong and obftinate men by the pojfe comitatus to fubmit to the decifions of the law; and to take care that all condemned criminals be duly punifljed and executed. In particu¬ lar, in London, they are to. execute the orders of the common-council, when they have refolved to addrefs his majefty, or to petition parliament. The (heriffs, by virtue of their office, hold a court at Gu Idhall every Wednefday and Friday, for aftions entered at Wood-ftreet Compter; and on Thurfdays, and Saturdays for thofe entered at the Poultry Comp¬ ter : of which the (heriffs being judges, each has his affiftant, or deputy, who are called the judges of thofe courts ; before whom are tried aftions of debt, tref- y>afs,. covenant, &c, and where the teftimony of any abfent witnefs in writing is allowed to be good evi- London. dence. To each of thefe courts belong four attor.iies, v— who, upon their being admitted by the court of a'der- men, have an oath adminiftered to them. To each of thefe courts like wife belong a feeondary, a clerk of the papers, a prothonotary, and four clerks- fitters. The fecondary’s office is to allow and return all writs brought to remove clerks out of the faid courts; the clerk of the papers files and copies all declarations upon aftions ; the prothonotary draws and ingroffes all declarations; the clerk-fitters enter ac¬ tions and attachments, and take bail and verdifts. To each of the compters, or prifons belonging to thefe courts, appertain 16 ferjeants at mace, with a yeo¬ man to each, befides inferior officers, and the prifon- keeper. In the (heriffs court may be tried aftions of debt, cafe, trefpafs, account, covenant, and all perfonal ac¬ tions, attachments, and fequeftrations. When an er¬ roneous judgment is given in either of the (heriffs courts of the city, the writ of error to reverfe this judgment muff be brought in the court of buffings be¬ fore the lord mayor; for that- is the fuperior court. The (heriffs of London may make arrefts and ferve executions on the river Thames. We do not read of a recorder till the 1304, who, Re-‘)rdcr. by the nature of his office, feems to have been intended as an affiffant to, or affeffor with, the lord-mayor, in the execution of his high office, in matters of juft ice and law. He is chofen by the lord-mayor and aider- men only; and takes place in all courts, and in the common-council, before any one that hath not been mayor. Of whom we have the following defeription in one of the books of the chamber. “ He (hall be, and is wont to be, one of the moft (kilful and virtuous apprentices of the law of the whole kingdom ; whofe office is always to fit on the right hand of the mayor, in recording pleas, and palling judgments ; and by whom records" and proceffes, had before the lord- mayor and aldermen at Great St Martin’s, ought to be recorded by word of mouth before the judges affigned there to correft errors. The mayor and aldermen have therefore ufed commonly to let forth all other bufi- neffes, touching the city, before the king and his council, as alfo in certain of the king’s courts, by Mr Recorder, as a chief man, endued with wifdom, and eminent for eloquence.”—Mr Recorder is looked up¬ on to be the mouth of the city, to deliver alladdreffes to the king, &c. from the corporation ; and he is the firff officer in order of precedence that is paid a falary, which originally was no more than lol. Ster¬ ling per annum, with fome few perquifites ; but it has from time to time been augmented to 10001. per an¬ num, and become the road to preferment in the law. This office has fometimes been executed by a deputy. ^ The next chartered officer of this corporation is the Chamber- chamberlain ; an office of great repute and truft, and lain, is in the choice of the livery annually.. This officer, though chofen annually on Midfummer-day, is never difplaced during his life, except fome very great crime can be made out againft him. He has the keeping of the moneys, lands, and goods, of the city-orphans, or takes good fecurity for the payment thereof when the parties come to age. And to that end he is deemed, in the law a foie corporation, to him and his fucccf- {•rs* LON [ 245 1 LON London* fors, for orphans ; and therefore a bond or a recog- -v nizance made to him and his fucceflbrs, is recoverable by his fucceffors. This officer hath a court peculiarly belonging to him. His office may be termed a public treafury, colle&ing the cuftoms, moneys, and yearly revenues, and all other payments belonging to the cor¬ poration of the city. It was cuftomary for government to appoint the chamberlain' receiver of the land tax ; but this has been difcontinued for feveral years pail. Othcfof- The other officers under the lord-mayor are, x, The fleers. common ferjeant. He is to attend the lord-mayor and court of aldermen on court-days, and to be in council with them on all occafions, within or without thepre- cinfts or liberties of the city. He is to take care of orphans eftates, either by taking account of them, or to fign their indentures, before their paffing the lord- mayor and court of aldermen. And likewife he is to let, fet, and manage the orphans eftates, according to his judgment, to the beft advantage. 2. The town- clerk ; who keeps the original charter of the city, the books, rolls, and other records, wherein are regiftered the adts and proceedings of the city ; fo that he may not be improperly termed the city-regifter: he is to attend the lord-mayor and aldermen at their courts, andfigns all public inftruments. 3. The city-remem¬ brancer; who is to attend the lord-mayoron certain days, his bufinefs being to put his lordfhip in mind of the fe- ledt days he is to go abroad with the aldermen, &c. He is to attend daily at the parliament-houfe, during the feffions, and to report to the lord-mayor their tranf- adtions. 4. The fword-bearer; who is to attend the- lord-mayor at his going abroad, and to carry the fword before him, being the emblem of juftice This is an ancient and honourable office, reprefenting the ftate and princely office of the king’s moft excellent majefty, in his reprefentative the lord-mayor ; and, according to the rule of armory, “ He muft carry the fword up¬ right, the hilts being holden under his bulk, and the blade diredlly up the midft of his breaft, and fo forth between the fword-bearer’s brows.” 5. The common- hunt ; whofe bulincfs it is to take care of the pack of hounds belonging to the lord-mayor and citizens, and to attend them in hunting in thofe grounds to which they are authorifed by charter. 6. The common-crier. It belongs to him and the ferjeant at arms, to fummon all executors and adminiftrators of freemen to appear, and to bring in inventories of the perfonal eftates of freemen, within two months after their deceafe : and he is to have notice of the appraifements. He is alfo to attend the lord-mayor on fet days, and at the courts held weekly by the mayor and aldermen. 7. The water-bailiff; whofe office is to look after the prefer- vation of the river Thames againft all encroachments ; and to look after the fiftiermen for the prefervation of the young fry, to prevent the deftroying them by un¬ lawful nets. For that end, there are juries for each county, that hath any part of it lying on the fides or ftiores of the faid river ; which, juries, fummoned by the water-bailiff at certain times, do make inquiry of all offences relating to the river and the fiih,. and make their prefentments accordingly. He is alfo bound to attend the lord-mayor on fet days in the week.—Thefe feven pyrehafe their places ; except the town-clerk, who is chofen by the livery. There are. alfo.three ferjeant-carvers; three ferjeants of the chamber ; a ferjeant of the channel: four yeo- London'; men of the water-fide ; an under water-bailiff; two *~~~J yeomen of the chamber; two meal-weighters; two yeo¬ men of the wood wharfs; a foreign taker; city-mar dials. There are befides thefe, feven gentlemens men; as, the fword-bearer’s man, the common-hunt’s two men, the common crier’s man, and the carver’s three men. Nine of the foregoing officers have liveries of the lord-mayor, viz. the fword-bearer and his man, the thx-ee carvers, and the four yeomen of the water- fide. All the reft have liveries from the chamber of London. The following officers are likewife belonging to the city ; farmer of the markets, auditor, clerk of the chamber, clerk to the commiflioners of the fewers, clerk of the court of confcience, beadle of the fame court, clerk of the city-works, printer to the city, juftice of the Bridge-yard, clerk-comptroller of the Bridge-houfe, fteward of the Borough, bailiff of the Borough. There is alfo a coroner, called fo from corona, i. e. a crown, becaufe he deals principally with the crown, or in matters appertaining to the imperial crown of England. See the article Coroner. Befides thefe officers, there are feveral courts in this city for the executing of juftice, vi%. the court of hu- ftings, lord-mayor’s court, &c. , In the city there are alfo two fubordinate kinds of government. One exe¬ cuted by the alderman, deputy, and common-council men, and their inferior officers, in each ward ; under which form are comprehended all the inhabitants, free or not free of the city. Every ward is therefore like a little free date, and at the fame time fubjedl to the lord-mayor as chief magiftrate of the city. The houfekeepers of each ward elecl their reprefentatives, the common-council, who join in making bye-laws for the government of the city. The officers and fervants of- each ward manage the affairs belonging to it, with¬ out the affiftance of the reft ; and each has a court call¬ ed the wardmote, as has been already deferibed, for the management of its own affairs. The other, by the matter, wardens, and court of affiftants, of the incor¬ porate companies; whofe power reaches no further than over the members of their refpe&ive guilds or fra¬ ternities ; except that in them is invefted the power to choofe reprefentatives in parliament for the city,' and all thofe magiftrates and officers elefted by a'common- hall ; " which companies are invefted with diftimft powers, according to the tenor of their refpeCtive charters. 4i The military government of the city'' is lodged^in which amount to 56 in number, are depofited all the rolls, from the firft year of the reign of king John to the beginning of the reign of Richard III. but thofe after this laft period are kept in the Rolls Chapel. The records in the Tower, among other things, contain the foundation of abbeys and other religious houfes; the ancient tenures of all the lands in England, with a furvey of the manorsthe original of laws and ftatutes ; proceed¬ ings of the courts of common law and equity ; the rights of England to the dominion of the Britifh feas; leagues and treaties with foreign princes; the atchievements of England in foreign wars; the fettlement of Ireland, as to law and dominion ; the forms of fubmiffion of fome Scottifh. kings for temtories held in Eng¬ land ; ancient, grants of our kings to their fubjefts ; privileges and immunities granted to cities and corpora¬ tions during the period above mentioned; inrolments of charters and deeds.made before the Conqucft;. the bounds of all the- forefls in England, with the feyeral refpeftive fights of the inhabitants to common pafture* and many other important records, all regularly difpofed, and referred to in near a thoufand folio indexes. This office is kept open, and attendance conftantly given,, from feven o’clock till one, except in the months of December,.'January, and February, when it. is open only from eight to one, Sundays and holidays ex? cepted. A fearch here is half a. guinea, for which you may perufe any one fubjeft a year. L O N t;0hilot5. tjiemfcei's of their order. Henry VIII. granted their ^ ■> 1 houfe to Sir Whomas Wyatt the elder, who built a Indif Com handfome manlion on part of the ground where it pany’s ftood. This manfion became afterwards the refidence watthoufes. of John Lord Lumley, a celebrated warrior in the time of Henry VIII. In procefs of time, it was con¬ verted into a navy-office : but this office being remo¬ ved to Somerfet-houfe, the India Company have erec¬ ted in its place a moll magnificent warehoufe, in form of an oblong fquare of about 250 feet by 160, inclo- fing a court of 150 by 60 feet, the entrance to which is by an arched gateway. Billitigfgate Billingfgate ward is diftinguifhed by its market. BiHingfgate was a fmall port for the reception of ffiip- ping, and for a confiderable time the moll important place for the landing of almolt every article of com¬ merce. In the time of King William, Billingfgate began to be celebrated as a filh-market. In 1699 it v as by a6t of parliament made a free port for fiffi to be fold there every day except Sunday ; but Mr Pen¬ nant informs us, that the objeft of this has long been fruftrated, and that filh are now no longer to be had there in perfeftion. The fame author gives a lift of the fifh which in the time of Edward III. were brought to the London market; the monarch himfelf having condefcended to regulate the prices, that his fubje&s might not be impofed upon by thofe who fold them. Among thefe were the conger-eel and porpoife, neither of which is now admitted to any table. A pike at that time coft 6s. 8d.; whence cur author concludes, that it was an exotic fifh, and brought over at a vaft expence. Some filhes are mentioned in his lift with which this naturalift owns himfelf unac¬ quainted, viz., the barkey, bran, balrile, cropling, and rumb. In Archbilhop Nevill’s great feaft is mention¬ ed alfo a fiih named thirle-poole, unknown at prefent. Seals were formerly accounted a fifh ; and thefe, toge¬ ther with the fturgeon and porpoife, were the only frelh filh permitted by the 33d of Henry VIII. to be bought of any ft ranger at fea between England, France, Flan- <3 derg, and Zealand. 'Leatienhall. Limeftreet ward is remarkable for a very large build- ing, of great antiquity, called Leadenhall, with fiat battlements leaded on the top, and a fpacious fquare in the middle. In 1309 it was the houfe of Sir Hugh Nevil knight; in 1384, of Humphry Bohun Earl of Hereford; in 1408 it became the property of the celebrated Whittington, who prefented it to the mayor and commonalty of London ; and in 1419, a public granary was eredted here by Sir Simon Eyre, a cf* tizen and draper, who built it with ftone in its pre¬ fent form. This granary was defigned as a preferva- tive againft famine, and to be kept always full of corn which defign was for fome time happily anfwered. The houfe came to be tried for many other purpofes be- fides that of a granary ; as for keeping the artillery and arms of the city. Preparations for any kind of pageantry or triumph were alfo made here; and from its ftrength the place was confidered as the chief fortrefs within ’ the city in cafe of any popular infurreftion, and was likewife the place from whence alms were diftributed. In this edifice are warehoufes for the fale of leather, Col- L 0 N chefter ba*ze, meal, and wool. Adjoining to Leaden * Bonds*.< hall is a market, thence called LeaJenhafl market, con- filling of five confiderable fquares or courts, and rec¬ koned one of the greateft markets in Europe for fie fit and other provifions, as well as for leather, green hides, and wool. A little to the eaftward js the India-houfe, The India- built in 1726, on the fpot occupied by Sir William ^oufc* Craven, mayor in 1610. According to Mr Pennant, this houfe “ is not worthy of the lords of Indoftan.” In Broadftreet is the Bank.of England, a ftone build- Bank or ing, which occupies one fide of Three-needle ftreet. England. The centre, and the building behind, were founded in the year 1733 ; the architeft George Sampfon. Before that time the bufinefs was tranfafted in Gro- cers-hall. The front is a fort of veltibule ; the bafc ruftic, the ornamental columns above Ionic. Within is a court leading to a fecond elegant building, which contains a hall and offices, where the debt of above 250 millions is punctually difcharged. Of late year:* two wings of uncommon elegance, defigned by Sir Robert Taylor, have been added, at the expence of a few houfes, and of the church of St Chriftopher’s le Stocks. “ The name of the projeftor of this national glory (fays Mr Pennant), was Mr James Paterfon of Scotland. This palladium of our country was 111 1780 faved from the fmy of an infamous banditti by the virtue of its citizens, who formed fuddenly a volunteer company, and over-awed the mifcreants; while the chief magiftrate ikulked, trembling in his manfion-houfe, and left his important charge to its fate. This important building has ever fince been very properly guarded by the military ; who, in paf- fing through the city, have often given offence to many bufy characters who would ftrive to preferve the city rights at the expence of the national deftruCtion. A lord mayor was the laft who interefted himfelf by- applying to Mr Grenville, who gave him to under- ftand, that if the guards were not quietly permitted to difcharge their duty, the bank would be removed to Somerfet-houfe.” At the extremity of Three-needle ftreet is Mer- Merchant- chant-Taylors Hall. In this ftreet alfo is the South-Sea Houfe, firft eftablifhed in 1711 for the purpofe of an Ha ’ c* exclufive trade to the South Sea, and for fupplying Spanifh America with negroes. Near the junCtion of Throgmorton ftreet with Broad-ftreet ftood a magnificent houfe built by Crom¬ well earl of Effex ; after whole fall, the houfe and gardens were bought by the Drapers company. The houfe was deftroyed in the great fire, but rebuilt for the ufe of the company in a magnificent manner. Mr Pennant informs us, that St Giles's church in the St GilesV fields, and a few houfes to the weft of it, in the year 1600, was barely feparated from Broad-ftreet. The church is fuppofed to have belonged to an hpfpital for le¬ pers, founded about the year 1117, by Matilda queen to Henry I. In ancient times it was cuftomary here to prefent to malefaCtors, on their way to the gallows (which, about the year 1413, was removed from .Smithfield, and placed between St Giles’s high-ftreet and Hog-lane (c), a great bowl of ale, as the laft re- frelhment they were to receive in this life. On I a 2 the [ 25' 1 {•c) 1 his late place of execution, according to Mr Pennant, was called*in the time of Edward III. when the 58 n "Winchcfte: iioufc. LON [ 252 ] LON tVie do»r t® the church-yard is a curious piece of tizens, in compliance with Sir Thomas’s defire, pur- London, fculpture, reprefenting the lalt day, containing an chafed, for the fum of L. 35.32, 80 houfes in the two 1 » {. amazing number of figures, fet up about the year alleys called Nanu St Chri/lopher’s, and Swan-alley, lead- 1686. This church was rebuilt in 1625. By the ing out of Cornhill into Three-needle ftreet. The amazing raifing of the ground by filth and vari- materials of thofe houfes were fold for L. 478, and the pus adventitious matter, the floor in the year 1730 ground, when cleared, was conveyed to Sir Thomas was eight feet below the furface acquired in the Grefliam, who, accompanied by feveral aldermen, laid intervening time. This alone made it neceffary the firfi: brick of the new building on the 7th of June to rebuild the church in the prefent century. The that year. Each alderman alfo laid his brick, and firft ftone was laid in 1730; it was finifhed in 1734, left a piece of gold for the workmen ; who fet about at the expence of io,oool.—In the church-yard is a it with fuch afiiduity and refolution, that the whole great fquare pit, with many rows of coffins piled one fabric was roofed by the month of November 1567, upon the other, all expofedto fight and fmell, the lat- and was foon after completed under the name of the ter of which is highly offenfive if not dangerous. Burfe. This building was totally deftroyed by the On the weft fide of Broad-ftreef flood the houfe of fire in 1666 ; and in its place the prefent magnificent the Auguftines, founded by Humphrey Bohun Earl ffrufture was erefted at the expence of L. 80,000, of Somerfet in 1253, for friars and hermits of the which Hands upon a plat of ground 203 feet in length ' Auguftine order. On the diflblution of the mo- and 171 in breadth, containing an area in the middle, nafteries, great part of the houfe was granted to of 61 fquare perches, furrounded with a fubftantial William Lord -St John, afterwards Marquis of Win- and regular ftone building, wrought in ruftic. It has chefter, and Lord Treafurer, who founded a mag- two fronts, north and fouth, each of which is a piaz- nificent houfe named W'mchejler-houfe. The weft za ; and in the centre are the grand entrances into end of the church was granted'in 1551 to John a the area, under a very lofty and noble arch. The Lafco for the life of the Germans and other fugi- fouth front in Cornhill is the principal; on each fide tive Proteftants, and afterwards to the Dutch as a of which are Corinthian demi-columns, fupporting a place for preaching. A part of it was alfo converted, compafs pediment; and, in the intercolumniation on into a glafs-houfe for Venice glafs, in which the ma- each fide, in the front next the ftceet, is a niche, with nufa&ure was carried on by artifts from that city, the ftatues of King Charles I. and II. in Roman ha- b;ts, and well executed. Over the aperture, on the cornice between the two pediments, are the king’s relievo : on each fide of this entrance is a and patronifed by the Duke of Buckingham. The place was afterwards converted into Pinners-hall, be¬ longing to the company of pin-makers. C5rdham College. 60 Excife- ©ffice. Royal Ex- ckange. To the eaftward of Winchefter-llreet ftood the houfe range of windows placed between demi-columns, and of that very' eminent merchant Sir Thomas Grefhham, pilafters of the compofite order, above which runs a afterwards known by the name of Grejlaam college : (See baluftrade. This building is 56 feet high : and from Gresham.) It has been pulled down not many years the celrtre, in this front, rifes a lanthorn and turret ago ; and the Exafe Office, a moft magnificent and 178 feet high, on the top of which is a fane of gift at the fame time fimple building, rofe in its place, brafs made in the ftiape of a grafshopper, the crelt Mr Pennant informs us, that from the 5th of January of Sir Thomas Grefham’s arms. The north front in J 786 tq January 5th 1787, the payments into this of- Three-needle-ftreet is adorned with pilafters of the fice amounted to no lefs than L. 5,531,114 : 6 : 10L compofite order; but has neither columns nor ftatue* The Royal Exchange, which is the meeting-place of on the outfide; and has triangular; inftead of com- the merchants of London, Hands in the ward of pafs, pediments. The infide of the area is alfo fur- Cornhill, and is the fineft and ftrongeft fabric of rounded with piazzas, forming ambulatories for mer- the kind in Europe. It was founded in the year chants, Sec. to ftielter themfelves from the weather, 1566. Sir Thomas Grelham, merchant in London, when met there upon bufinefs. Above the arches made an offer to the lord mayor and citizens, to build, of this piazza is an entablature with curious orna. at his own cxpence, a commodious edifice for mer- ments; and on the cornice a range of pilafters with chants to meet and tranfadl bufinefs, provided the city an entablature extending round, and a compafs pedi- would find him a convenient fituation for the fame, ment in the middle of the cornice of each of the four Mr Pennant informs us, that one Richard Clough a fides. Under the pediment on the north fide are the Welfhman, originally Sir Thomas’s fervant, firft put king’s arms; and the fouth, the city’s arms; on the him on this defign by a letter from Antwerp, in which eaft, Sir Thomas Grefham’s arms ; and on the weft, he reproached the London merchants with having no the mercer’s arms, with their refpedlive enrichments^ place to tranfaft their bufmefs, but walking about in In thefe intercolumns are 24 niches, 20 of which are the rain, more like pedlars than merchants. The ci- filled, with the ftatues of the kings and queens of Eng¬ land. the gentle Mortimer finilhed his days here, the Elms: but the original as well as the prefent name was Tj" bourne ; not from, tye and burn, as if it were called fo from the manner of capital punifhments ; but from bourne, the Saxon word for a “ brook,” and Tye the name of that brook, which joined gave name to a manor before the conqueft. Here was alfo a village and church denominated St John the Evangelijl, which fell to decay,, and was fucceeded by that of Mary bourne, corrupted into Mary-la-bonne. In 1626, Queen Henrietta Maria was compelled by her priefts to take a walk by way of penance to Tyburn. What her offence was we are not told ; but Charles was $0 difgufted at this infolcnce, that he foon after fent them and all her ma?- jefty's French fervants out of the kingdom. LON t 2JJ ] LON ^aru’en. land. Under thcfe piazzas, within the area, are ?8 cut in relievo, refting his right hand on a fhield with niches, all vacant but that in which Sir Thomas Gref- the arms of France and England quartered, and hold- ' ham’s ftatue is placed in the north-weft angle, and ing a rofe in his left hand. On the north fide is that in the fouth-weft, where the ftatue of Sir John another cupid fupporting a fhield with the arms of Barnard was placed in his lifetime by his fellow-citi- Ireland ; and on the eaft fide are the arms of Scot- zens to exprefs their fenfe of his merit. The centre land, with a cupki holding a thiftle ; all done in re- of this area alfo is ornamented with a ftatue of King lievo: the whole executed by that able ftatuary Mr Charles II. in a Roman habit, Handing upon a marble Gibbon. pedeftal about eight feet high, and encompalfed with In this area, merchants, and fuch as have bufinefs iron rails ; which pedeftai is enriched on the fouth with them, meet every day at change hours; and for fide with an imperial crown, a fceptre, fword, palm- the more regular^and readier difpatch of bufinefs, they branches, and other decorations, with a very flattering difpofe of themfelves into feparate walks, according’ tafcription to the king. On the weft fide is a cupid to the following plan. Eaft country walk. Threadneedle-ftreet. Irifh walk. Silkmens walk. Turkey walk. Clothiers walk. Hamburgh walk. Scotch Dutch and walk. Jewellers. Salters walk. Grocers and Druggifts walk. Virginia walk. Jamaica walk. Brokers of Stock, &c. walk. Italian walk. Spanifh walk. Jews walk. South. Tii building this expenfive ftrufture there was an eye Rot only to magnificence, and to accommodate the merchant?, but alfo to reimburfe the expence. For this reafon a gallery was built over the four fides of the royal exchange. This was divided into 200 fhops, which were let out to haierdalhers, milliners, See. and which for feveral years were well occupied. But thefe Ihops have now for a long time been deferted, and the galleries are let out to the Royal Exchange Afiur&nce- office, the Merchant-feamens office, the Marine So¬ ciety, and to auftioneers, ,&c. Under the whole area there are the fineft dry vaults that can be found any where, which are let out to the Eaft India company to depofit their pepper. In the turret is a good clock with four dials, which is well regulated ever day, fo that it becomes a ftandard of time to all the mercan¬ tile part of the town ; and it goes with chimes at three, fix, nine, and twelve o’clock, playing upon twelve bells. The outfide of this grand fabric fuffers very much in its elegance from the (hops that furround it, and are built within its walls; and which are occur pied by bookfellers, toymen, cutlers, hofiers, watchr (jl makers. See. General South of-the Royal-exchange, and near the weft F&ft-Ofice. extremity of Lombard-ftreet, is the GeneralPojl OJke, which is a handfome and commodious building. In Walbrook ward is the Manjion-boufe, for the re-The Man* fidence of the lord-mayor. This edifice was begun in Gon-houf^ 1739, and finilhed in 1753. H 1® built of Portland ftone, with a portico of fix fluted columns, of the Corinthian order, in the front. The bafement ftory Js very mafly, and confifts of ruftic work; in the centre of it is the door, which leads to the kitchens, cellars, and other offices. On each fide rifes a flight of fteps, leading up to the portico, in the middle of which is the principal entry. The ftone balutirade of the Hairs is continued along the front of the portico, and the columns fupport a large angular pediment, adorned with a group of figures in bas relief, reprefenting the dignity and opulence of the city of London. It is an extreme heavy building, of an oblong form, and its depth is the long fide, having feveral magnificent apartments, which are not, However, well lighted, on account of the houfes that furround it. 64 Behind the manfion-houfe is St Stephen's church, St Stephen'! in Walbrook, juftly reputed the mafter-piece of the Cllurc^« celebrated Sir Chriftopher Wren, and is faid to ex¬ ceed every modern, ftruclure in the world in propor¬ tion and elegance. The manfibn-houfe, and many adjacent buildings. Hand on the place where the Stocks market once (flood. TJfis took its name from ?. pair of flocks erec¬ ted LON C254] LON f,or.(!6n. ted near the fpot in 1281 ; and v.-as the'great market l~v‘*'i»-; of London for provilions during many centuries, j^5 ln this ward is litiiated one of the moft remarkable tlone°n" P>eces antiquity in London. It is a great ftone, now Handing in a cafe on the north fide of Canon- flreet, clofe under the fouth wall of St Swithin’s church. It is called London-/}one; and was formerly pitched edgeways on the other fide of theftreet, oppo¬ site to where it now Hands, fixed deeply in the ground, and Hrongly fafiened with iron bars ; but for the con- _veniency of wheel-carriages it was removed to its pre¬ sent fituation. This Hone is mentioned fo early as the time of Athelfian, king of the Wefi Saxons, and has been carefully preferred from age to age. Of the original caufe of its ereftion no memorial remains ; but it is conjeftured, that as London was a Roman city, this Hone might be the centre, and might ferve as an objeft from which the diftance was computed to the other confiderable cities or Hations in the pro- <■6 vince. Merchant- in Dowgate ward is a noted academy, caled Mer- Schocl* chant-taylors School, from its having been founded by the merchant-taylors company, in the year 1561. It was deHroyed by the fire of London in 1666, but was rebuilt, and is a very large flrufture, with commodi¬ ous apartments for the maHers and ufhers, and a fine library. Sir Thomas White, lord mayor of this city, having founded St John’s college in Oxford in 1557, appointed this fchool as a feminary for it, and eita- bliihed at Oxford 46 fellowfiiips for fcholars elefted from this fchool. St Tvfir le The church of St Mary le Bow, in Cordwainers- Hreet ward, is the moH eminent parochial church in the city. It was originally built in the reign of Wil¬ liam the Conqueror; and being .the firfi church the Heeple of which was embellished with Hone arches or bows, took thence its denomination of le Bow. It was burnt down in the fire of 1666, but foon after¬ wards rebuilt. The Heeple of this church is reckoned 48 the moH beautiful of its kind in Europe. Guildhall. In Cheap ward is Guildhall, or the town-houfe of London. This was originally built in 1411, but fo damaged by the great fire already mentioned, as to -be rebuilt in 1669. The front has a Gothic appear- ■ance; and this charafter is alfo due to the two gigan¬ tic effigies which Hand within the hall. The hall is 153 feet long, 50 broad, and 55 high, adorned with the royal arms, and thofe of the city and its compa¬ nies, as well as with feveral portraits of Englilh fove- reigns and judges. In this building are many apart¬ ments for tranfadling the bufinefs of the city, befides ■one for each of the judicial courts, namely, that of the King’s-Bench, the Common-Pleas, and the Exche- 69 Huer- Cheapfide. In the year 1246 Cheapfide was an open field, named Crown-field, from an inn with the fign of the crown. At that time, .and even for 200 years after¬ wards, none of the ffreets of London were paved ex¬ cepting Thames-Hreet, and from Ludgate-hill to Cha- . ring-Crofs. vOoldlmiths Goldfmiths Hall Hands in Fofler-lane, -which opens Hall- into the weff end of Cheapfide.—In this lane alfo is Martin’s Martin’s le Grand, which, though furrounded by & Grand, the city, was yet fubjeft, near three centuries, to Weffminffer-Abbey. A fine college was built here in 700 by Wythred king of Kent; and, about the korinm year 1056, rebuilt and chiefly endowed by Ingelric ’ and Edward, two noble brothers. In icgg, it was confirmed and made independent of every other eccle- fiaflical jurifdi&ion, even that of the pope himfelf not excepted ; and its privileges were confirmed by fucceed- ing monarchs. It was governed by a dean, and a number of fecular canons. In this jurifdiHion a mag¬ nificent church was eredted, but pulled down in 1548', when the college was furrendered; after which a ta¬ vern was eredled on the Ipot. _ A little to the weffward of Mary-le-Bow church The Crofs (in the adjoining ward), Hood the Crofs and Conduit'andConduit in the middle of the Hreet. The former was built by Edward I. in 1290, in memory of his queen Eleanor, whofe body was relied on that fpot in its way to be buried. Originally it had the Hatue of the queen at full length, refembling exactly that at Northampton. Having at length fallen to decay, it was rebuilt in 1441 by John Hutherby mayor of the city, at the ex¬ pence of feveral citizens, being now ornamented with various images, as thofe of the Refurreftion, the Vir¬ gin Mary, See. As the magnificent proceflions took this road, it was new-gilt at every public entry. After the Reformation, the Imag^ gave fo much offence, that it was thought proper to fubHitute that of Diana in place of the Virgin Mgry. This, however, was refented by Queen Elizabeth, who offered a reward for the difeovefy of the offenders. As Ihe imagined that a crofs, the fymbol of the Chrifiian religion, could not juHly give offence to any profeffpr of that religion, fhe ordered a crofs to be placed on the fum- mit, and gilt; but in 1643, the parliament ordered the demolition of all crofles and other marks of Romilh fuperffition. Splendid tournaments were held between the Crofs and Sopers-lane in the year 1331 ; but as Queen Phi¬ lippa and a great number of other ladies, dr'effed in rich attire, werefitting on the upper fcaffolding to behold the fports, the feat gave way, arid they fuddenly fell down among the knights and others who Hood below; many of whom were grievoufly hurt. The carpenters were faved from punifliment by the-interceflion of the queen ; but the king, to prevent accidents of the like nature, ordered a building of Hone to be eredted near Bow-church, from whence the queen and other ladies might behold fuch fpeftacles in fafety. This was ufed for the fame purpofe till the year 1410, when Henry IV. granted it to certain mercers, who con¬ verted it into (hops, warehoufes, and other places ae- ceffary for their trade. A fmall diffance eaffward from the Crofs flood tliC Conduit, which ferved to fill the leffer ones with wa¬ ter brought by pipes from Paddirigton.—This' Hood on the fpot where the old conduit was fituated, which was founded in 1285, conffrudled of Hone lined with lead, and rebuilt in 1479 by Thomas Ilan one of the flieriffs. On fome grand occafions, thefe conduits have been made to run with claret; as at the corona¬ tion of Anna Bullen. On the north fide of Cheapfide Hood the Hofpital y[^:3 of St Thomas of Boon, founded by Fitz-Theobald de Hall. Helles, and his wife Agnes, fifler to the famous Tho¬ mas a Becket. The holpital was built 20 years after the murder of Thomas ; and fuch was his reputation 2 for LON [ 255 } LON l-endon. for fanfUty, that it was dedicated to him even before he "V1" was canonized, and that in conjunction with the Vir¬ gin Mary herfelf. The whole was granted by king Henry VIII. to the company of mercers. It was deftroyed by the great lire in 1666; but rebuilt by the mercers company, who have their hall here.—Im¬ mediately to the call is a narrow ftreet called the Old ©Id jewty. Jewry, which took its name from a great fynagogue which ftood here till the Jews were expelled the king¬ dom in 1291. After them an order of friars named Fratres de facea, or de penitent)a, took poffeffion of the fynagogue ; and in 1305, Robert Fitzwalter, the great banner-bearer of the city, requefted that the friars might affign it to him ; the reafon of which probably was, that it ftood near to his houfe, which was iitu- ated in the neighbourhood of the prefent Grocers-hall. The chapel was bought by the grocers from Fitz- 75 waiter in 1411 for 320 marks. Bakewdl In Baflifliaw or Bafmg-hall ward, is Blackwell or ttah* Bake well hall, which adjoins to Guildhall, and is the greateft mart of woollen cloth in the world. It was purchafedof King Richard II. by the city; and has ever lince been ufed as a' weekly market for broad and nar¬ row woollen cloths, brought out of the country. For¬ merly proclamations were iffued to compel people to bring their goods into the hall, to prevent deceit in the manufaftures, which might be produdlive of dif- .credit in foreign markets, and likewife be the means ©f defrauding the poor children of Chrift’s hofpital of part of the revenue which arofe from the hallage of this great magazine. It fuffered the general devafta- tion in 1666 ; but was rebuilt in 1672, and is now a fpacious edifice, with a ftone front adorned with co- , lumns. SionCullege Cripplegate-ward is remarkable for a college, called Sion-college, founded in 1627, on the fite of Elfing- hofpital (d) or priory, by Dr Thomas White vicar of St Dunftan’s in the Weft, for the improvement of the London clergy ; and with alms-houfes, under their care, for 20 poor perfons, 10 men and 10 women. In the year 1631, a charter was procured for incorporating the clergy of London, by which they were conftituted fellows of the college ; and out of the incumbents are annually ele&ed, on Tuefday three weeks after Falter, a prefident, two deans, and four afliftants, who are to meet quarterly, to hear a Latin fermon, and after- Wards be entertained at dinner in, the college-hall at the expence of the foundation. John Simpfon rector of St Olaves,, who fuperintended the building, added, at his own expence, for the ufe of the ftudious part of. the London clergy, alibrary i 20 feet long, and amply filled with books. Barbers In this ward is a hall which belonged to the com- Jiali. pany of barber-furgeons, the profefiions of barber and furgeon being formerly exercifed by the fame perfon. It was built by the celebrated Inigo Jones, and the upper end is formed out of one of the towers or, bar¬ bicans of London wall. The anatomical theatre is elliptical, agd very finely contrived. This hall is now, called Barbers Hall; the furgeons, who difdained to be any longer afibciated with their ancient brethren, ha- LonJoife ving obtained a feparate charter, and built themfelves * a new hall in the Old Bailey. 7g Farringdon-ward Within, is diftinguiftied by the St Paul’s- moft magnificent Proteftant church in the world, the Cathedral, cathedral of St Paul. The beft authority we have for the origin of this church, is from its great reftorer Sir Chriftopher Wren. His opinion that there had been a church on this fpot, built by the Chriftiaas in the time of the Romans, was confirmed : when he fearch- ed for the foundations for his own defign, he met with thofe of the original prejbyterium,. or femicircu- lar chancel, of the old church. They confifted only of Kentiih rubble-ftone, artfully worked, and confoli- dated with exceedingly hard mortar, in the Roman manner, much excelling the fuperftruflure. He ex¬ plodes the notion of there having been here a temple of Diana, and the difeovery of the horns of animals, ufed in the feerifices to that goddefs, on which the opinion had been founded, no fuch having been dif- covered in all his fearches. The firft church is fuppoled to have been deftroyed- in the Dioclefian perfecution, and to have been re-, built in the reign of Conftantine. This was again, demolilhed by the pagan Saxons; and reftored, in • 603, by Sebert, a petty prince, ruling in thefe parts, under Ethelbert king of Kent, the firft Chriftian monarch of the Saxon race ; who, at the inftance of- St Auguftine, appointed Melitus the firft bilhop-of- London. Erkenwald, the fon of king Offa, fourth in fucceffion from Melitus, ornamented his cathedral very highly, and improved the revenues with his own patrimony. He was moft defervedly canonized : for the very litter, in which he was carried in his laft ill- nefs, continued many centuries to cure fevers by the- touch ; and the very chips, carried to the fick, refto¬ red them to health! When the city of London was deftroyed by fire, in- 1086, this church was built; the bilhop Mauritius, began to rebuild it, and laid the foundations, which remained till its fecond deftru&ion, from the fame caufe, in the laft century. Notwithftanding Mauri¬ tius lived twenty years after he had begun this pious, work, and bilhop Beauvages enjoyed the fee twenty more, yet fuch was the grandeur of the defign, that it remained unfinilhed. The firft had the ruins of the Palatine Tower bellowed on him, as materials for the building ; and Henry I. bellowed on Beauvagcs- part of the ditch belonging to the Tower, which, with purchafes made by himfelf, enabled him to in- clofe the whole with a wall. The fame monarch granted, befides, that every Ihip which brought ftone lor the church, Ihould be exempted from toll ; he gave him-alfo all the great filh taken in his precinfls^ except the tongues and, laftly, he fecured to him. and his fucceffor the delicious tythes of all his venifon, in the county of Effex. The llyle of the ancient cathedral was a moft beau-, tiful Gothic; over the call end was an elegant cir¬ cular windowalterations were made in the ends of* the. (d) This was founded by William Filing mercer in 1329 (on the fite of a decayed nunnery), for the fup^ port of 100 blind men. He afterwards changed it into a priory, and became himfdf the firil prior, who with- tour canons-regular were to fuperintend the miferabk obje&s. LON ■> tlit two tranfcpts, fo that their form is not delivered - down to us in the ancient plans ; and from the central tower rofe a lofty and molt graceful fpire. The dimen- fions, as taken in 1309, were thefe : The length fix hundred and ninety feet; the breadth a hundred and twenty ; the height of the roof of the weft part, from the floor, one hundred and two; of the eaft part, a hundred and eighty-eight; of the tower, two hund¬ red and fixty ; of the fpire, which was made of wood covered with lead, two hundred and feventy-four. The whole fpace the church occupied was three acres and a half, one rood and a half, and fix perches. We may be aftoniihed at this amazing building, and naturally inquire what fund could fupply money to fupport fo vaft an expence. Bat monarch? refigned their revenues refulting from the cuftoms due for the materials, which were brought to the adjacent wharfs ; they furnilhed wood from the royal forefts : prelates gave up much of their revenues ; and, what was more than all, by the pious bait of indulgences, and remif- fions of penance, brought in from the good people of this realm moft amazing iums. Pope Innocent III. in 1252, gave a releafe of fixty days penance; the archbilhop of Cologne gave, a few years before, a re¬ laxation of fifty days ; and Boniface, archbilhop of Can¬ terbury, forty days. The high altar dazzled with gems and gold, the gifts of its numerous votaries. John king of France, “ 1 :r • t? 1 1 : 1 • C 256 ] LON gave the dean and canons permiffion to inclofe the Londafc, whole within a wall; and to have gates to be ihut v-— every night, to exclude all diforderly people. Within thefe walls, on the north-weft fide, was the biftiop’s palace. Froiffart tells us, that after the great tour¬ nament in Smithfield, king1 Edward III. and his queen lodged here, on occafion of their nuptials (e.) —In 1561, the noble fpire was totally burnt by light¬ ning, and never reftored. In confequence of the refolutions taken in 1620, by James I. to repair the cathedral, the celebrated Inigo Jones was appointed to the work. But it was not at¬ tempted till the year 1633, when fraud laid the firft ftone, and Inigo the fourth. That great architedB begun with a moft notorious impropriety, giving to the weft end a portico of the Corinthian order, beau¬ tiful indeed, to this ancient gothic pile ; and to the ends of the two tranfept gothic fronts in a moft hor¬ rible ftyle. The great fire made way for the reftoring of this magnificent pile in its prefent noble form by Sir Criftopher Wren, an architeA worthy of fo great a defign. It is built of fine Portland ftone, in form of a crofs.. On the outfide are two ranges of pilafters, confifting' of an hundred and twenty each ; the lower range of the Corinthian order, and the upper of the compofite. The fpaces between the arches of the windows and the architrave of the lower order, are filled with a •hen prifoner in England, firft paying his refpe&s great variety of curious enrichments, as are alfo thofc to St Erktnwald’s fhrine, offered four bafons of gold : and the gifts at the ebfequies of princes, fo¬ reign and Britifh, were of immenfe value. On the day of the converfion of the tutelar faint, the chari¬ ties were prodigious, firft to the fouls, when an in¬ dulgence of forty days pardon was given, verc pcnil- tentibus, conlritu et tonjejjis \ and, by order of Hen¬ ry III. fifteen hundred tapers were placed in the church, and fifteen thoufand poor people fed in the church-yard. The holinefs of this place did not prevent thieves and profligates of all denominations from lurking within the precindts, and committing, under the favour of the night, murders and every fort of crime. Edward I. N 187. above. On the north fide is a portico, the afeent to which is by twelve fteps of black marble, and its dome fupported by fix very large columns. Over the dome is a pediment, the face of which is engraved with the royal arms, regalia, and other ornaments. On the fouth is a portico, the afeent to which is by twenty- five fteps, and its dome fupported by fix columns, cor- refponding with thofe on the north fide. The weft front is graced with a moft magnificent portico, fup¬ ported by twelve lofty Corinthian columns: over thefe are eight columns of the compofite order, which fup¬ port a noble pediment, crowned with its acroteria, and in this pediment is the hiilory of St Paid * converfion, boldly carved in has relief. The afeent to this portico 3 «* (e) Before this cathedral was the famous Paul's Crofs, a pulpit formed of wood, mounted upon fteps of ftone, and covered with lead, in which the moft eminent divines were appointed to preach every Sunday in the forenoon. To this place, the court, the mayor, and aldermen, and principal citizens, ufed to refort. The greateft part of the congregation fat in the open air ; the king and his train had covered galleries ; and the better fort of people were alfo protected from the injury of the weather ; but the far greater part Hood expofed in the open air: for which reafon the preacher went in very bad weather to a place called the Shrouds; a covered fpace on the fide of the church, to pro tec! the congregation, in inclement feafonsv Con- fiderable contributions were raifed among the nobility and citizens, to, fupport fuch preachers as were (as was often the cafe) called to town from either of the univcrfitics. In particular, the lord mayor and aldermen or¬ dered that every preacher, who came from a diftance, fliould be freely accommodated, during five days, with fweet and convenient lodgings, fire, candle, and all neceffarios. And notice' was given by* the bifhop of Lon¬ don, to the preacher appointed by him, of the place he was to repair to. We hear of this being in ufe as early as the year 1259. It was ufed, as Mr Pennant obferves, not only for the inftruftion of mankind by the doctrine of the preacher, but for every purpofe political or ecclefiaftical; for giving force to oaths, for promulging of laws, or rather the royal pleafnre, for the ■emiffion of papal bulls, for anathematizing finners, for benedUftions, for expofirig of penitents tinder cenfure of the church, for recanta¬ tions, for the private ends of the ambitious, and for the defaming of thofe who had incurred the difpleafure of crowned heads. It was demolifiied in 1643 by order of parliament, executed by the willing hands of Haac Pennington, the fanatieal lord mayor of that year, who died in the Tower a coavhfted regicide LON [ 257 ] LON London. 1$ by a flight of ftepts of, black marble, extending the u“'”v whole length of the portico ; and over each corner of the weft, front is a beautiful turret. A vaft dome, or cupola, rifes in the centre of the building. Twenty feet above the roof of the church is a circular range of thirty-two columns with niches, placed exactly againft others within. Thefe are terminated by their entablature, wdiich fupoorts a handfome gallery, adorn¬ ed with a ftone balluftraae. Above the columns laft mentioned is a range of pilafters, with windows be¬ tween them : and from the entablature of thefe, the diameter of the dome gradually decreafes. On the fummit of the dome is an elegant balcony, from the centre of which runs a beautiful lanthorn, adorned with Corinthian columns. The whole is clowned with a copper ball, fupporting a crofs, both finely gift. Within, the cupola ftands on eight ftupendous pillars, curioufly adorned: the roof of the choir is fupported by fix pillars, and that of the church by two ranges, confifting of twenty more. The roof of the church and choir is adorned with arches and fpacious periphe¬ ries of enrichments, admirably carved in ftone. Quite round the infide of the cupola, there is a whifpering iron balcony, or gallery, the top of which is richly painted by Sir James Thornhill. The firft ftone of this fuperb edifice was laid on June 21, 1675 ; and the building was completed in 1710 ; but the'whole decorations were not finiftied till 1723. It was a moft Angular circumftance, that, not- withftanding it was 35 years in building, it was begun and finilhed by one architeft, and under one prelate Henry Compton bilhop of London. The church of 'St Peter’s was 135 years in building, in the reigns of 19 popes, and went through the hands of twelve archi- tedts. It is not, as often miftaken, built after the mo¬ del of that famous temple : it is the entire conception of our great countryman , and has been preferred in feme refpedts, by a judicious writer, to even the Ro¬ man Bafilica. Its dimenfions are lefs. The compa¬ rative view is given in the Parentalia, and copied in London and its Environs. The height of St Peter’s, to the top of the crofs, is 437 feet and an half; that of St Paul’s 340 feet 5 fo that, from its fituation, it is lofty enough to be feen from the fea. The length of the firft is 729 feet; of the latter, 500. ' The great- eft breadth of St Peter’s is 364; of St Paul’s, 180. In the reigns of James I. and Charles I. the body of this cathedral was the common refort of the poli¬ ticians, the news-mongers, and idle in general. It was called Paul’s walk; and is mentioned in the old plays and other books of the times. Notwithftanding the magnificence of this noble pile, however, it is remarked to have many defedts. Its fituation is fuch, that it cannot be viewed at a diftance. Theidivilion of the porticos, and the whole ftrudture into two ftories on the outfide, certainly indicate a like divifion within, which is acknowledged to be a fault. The dome, it has alfo been obferved, bears too great a proportion to the reft of the pile, and ought to have been railed exadtly in the centre of the building ; be- fides that, there ought to have been two fteeples at the eaft end, to correfpond with thofe at the weft. On entering this church, wre inftantly perceive an obvious deficiency, not only of elt ation but length, to affilt Vol. X. Part I. the perfpedtive ; and the columns are heavy and clumfy, Lnnlan. rather incumbering the profpedt than enriching it. w""v f St Paul’s occupies an area of fix acres, and is railed all round with iron baluftrades, each about five feet and an half high, fixed on a dwarf wall of hewn ftone. In the weft end of this area is a marble ftatue of Queen Anne, holding a feeptre in one hand, and a globe in the other, furrounded with four emble¬ matical figures reprefenting Great Britain, France, Ireland, and America. Befides very large contributions for carrying on this edifice, the parliament granted a duty on fea-coal, which, at a medium, produced 5000 1. a-year; and the whole expence of the building is faid to have amounted to 736,752!. 2 s. 3d. On the eaft fide of the cathedral is St Paul’s School, founded in 1509 by Dr John Collet dean of this church, who endowed it for a principal-mafter, an un- der-mafter, a chaplain, and 153 fcholars. In Warwick-lane, in the fame ward, ftands the Col- CoiJge 0{ lege of Phyficians, erefted in 1682 by Sir Chriftopher Phyfieians. Wren. It is built of brick, and has a fpacious ftone frontifpiece. Near the fouth extremity of the Old Bailey, on the eaft fide, is the hall of the Company of Surgeons, with a theatre for difle&ion. Adjoining to Chrift-church in Newgate-ftreet is 8° Chrljl’s-Hofpital, which, before the dhTolution of mo- *. nafteries by Henry VIII. w^ay a houfe of grey-friars. 0 pua ' The hofpital was founded by King Edward VI. for fupporting and educating the fatherlefs children of poor freemen of this city ; of whom 1000 of both fexes are generally maintained in the houfe or out at nurfe, and are likewife cloathed and educated. In 1673, a mathematical fchool was founded here by Charles II. endowed with L. 3 20 a-year ; and a wri- ting-fchool was added in 1694 by Sir John Moor, an alderman of the city. After the boys have been feven or eight years on the foundation, fome are fent to the univerfity and others to fea; while the reft, at a pro¬ per age, are put apprentices to trades at the charge of the hofpital. At firft their habit was a ruflet cotton, but was foon after changed for blue, which has ever fince continued to be their colour; and on this account the foundation is frequently called the blue-coat hofpital. The affairs of this charity are managed by a prefident and about 300 governors, befides the lord-mayor and aldermen. The fabric, which is partly Gothic and partly modern, was much damaged by the fire of i 666, but was foon repaired, and has been fince increafed with feveral additions. The principal buildings,wvhich form the four fides of an area, have a piazza round them .with Gothic arches, and the walls are fupported by abutments. The front is more modern, and has Doric pilafters fupported on pedeftals. In Callle-Baynard ward is a large ftructure called Sr, DoElors-Commons. It confifts of feveral handfome paved Common* courts, in which the judges of the court of admiralty, thofe of the court of delegates, of the court of. arches, and the prerogative court, with the doctors that plead caufes, and the pro&ors of the place, all live in a col¬ legiate way; and from commoning together, as in . other colleges, the name of Doftors-Commons is de¬ rived. Here courts are kept for the trial of civil and ecclefiaftical caufes under the archbilhop of Canterbury K k and h JBridewell. I, O N J.ondor. and the bifhop of London. The college has v" lent library, every bilhop at his confecration giving L. 20 or L. 50 towards purchafing.books for it. Near Dotftors-Commons> on St Bennet’s Hill, is the Co.lege of Q0iiege 0j~ Heralds, who were incorporated by King ^ Richard III. Befides the chief officer, who is the earl-marfhal of England, here are three kings at arms, vi-z,. Garter, Clarencieux, and Norroy, with fix heralds, four purfuivants, and eight pro&ors. Garter attends the inftalments of knights of that order, carries the garter to foreign princes, regulates the ceremonies at coronations, and the funeral of the royal family and nobility: Clarencieux directs the funeral ceremo¬ nies of thofe under the degree of peers fouth of Trent; and Norroy performs the like office for thofe north of Trent. This building was originally the houfe of the earl of Derby. It is a fpacious quadrangle, built of brick, and has convenient apartments. Here are kept records of the coats of arms of all the families and names in England, with an account when they were granted, and on what occafion. In Farringdon-ward Without is a large building called Bridewell^ from a fpring formerly known by the name of St Bridget’s or St Bride’s-Well. It was ori¬ ginally a royal palace, and occupied all the ground from Fleet-ditch on the eaft to Water-lane on the weft. That part of it now called ^RJbury-court was given to the bi drops of Salilbury for their town-refidence ; and the eaft part, which was rebuilt by King Henry VIII. is the prefent Bridewell. It was granted to the city by Edward VI. as an hofpital; and he endowed it for the lodging of poor travellers, and for the correction of vagabonds^ ftrumpets, and idle perfons, as well as for finding them work. In one part of the building- 20 artificers have houfes; and about 150 boys, di- ftinguiffied by white hats and blue doublets, are put apprentices to glovers, flax dreflers, weavers, &c. and when they have ferved their time are intitled to the freedom of the city, with L. 10 towards carrying on their refpedtive trades. Tbe other part of Bridewell is a receptacle for diforderly perfons, who are kept at beating hemp and other hard labour. Near Bridewell is St Bride’s Church, a ftately fabric Hi feet long, 57 broad, and 41 high, with a beautiful fpire 234 feet in altitude, and has a ring of 12 bells in its tower. Oppofitc to Fleet-ditch, over this part of the river, Bhckiriars ftands Blackfriars Bridge; a moft elegant ftrufture Bridge. bnilt after the defign of Mr Robert Mylne. The fi- tuation of the ground on the two fliores obliged the architect to employ elliptical arches; which, however, have a very fine effeCt. The number of arches is nine; of which the centre one is 100 feet wide. The whole length is 995 feet: the breadth of the carriage-way is 28 feet, and that of the two foot-ways 7 each. Over each pier is a recefs; an apology for the beautiful Ionic pillars which fupport them, and which have a moft beautiful effeCt from the river. This bridge was begun in 1760; and finifhed in 1768,31 the expence ofL.i ~ 84. 152,840, to be difeharged by a toll upon the paf- fengers. It is fituated almoft at an equal diftance be¬ tween thofe of Weftminfter and London, commands a view of the Thames from the latter to Whitehall, and difeovers the majefty of St Paul’s itt a very linking feaaner. [ 258 } LON excel- IVeJl Smithfeld. In this ward is an area containing London. three acres of ground, called in old records Smithjield- * Pond or Horfe-PooL it having been formerly a watering g5 place for horfes. A was in ancient times the common Sruithfield. place of execution ; and at the fouth-weft corner there was a gallows called the Elms, from a number of elm- trees that grew in the neighbourhood. Ifwas like- wife the feene of public jufts and tournaments, and has been a market-place for cattle above 500 years. On the fouth-fide of this area, and contiguous to 86 Chrift’s hofpital, is St Bartholomew’s Hofpital. It was St Bartho. originally founded foon after the acceffion of Henry I. lomew s! by Rahere the king’s jefter, as an infirmary for the HofPlta5" priory of St Bartholomew the Great, which then ftood near the fpot. But upon the diftblution of religious houfes, Henry VIII. refounded it, and endowed it with 500 merks a year, on condition that the citizens Ihould pay the fame fum annually for the relief of loo lame and infirm patients. The endowments of this charity have fince been fo much enlarged, that it now receives the diftreffed of all denominations. In 1702, a beautiful frontifpiece was erected towards Smithfield, adorned with pilallers, entablature, and a pediment of the Ionic order, with a ftatue of King Henry VIIL Handing in a niche in full proportion, and thole of two cripples on the top of the pediment over it. In 1729, a plan was formed for rebuilding the reft of this hol- pital, in confequence of which a magnificent edifice has been ere&ed. Among many other privileges granted by Henry I. to the prior and canons of the monaltery of St Bar¬ tholomew the Great, and to the poor of the infirmary, was that of keeping a fair ia Smithfield on the eve, day, and morrow, of St Bartholomew. This fair, called Bartholomew-fair, has been held annually ever fince; and by the indulgence of the magiftrates of London, to whom the privilege of keeping it devolved, upon the diflblution of the priory, it ufed to continue a fortnight. A great number of booths was ereiled in it by the attors of the theatres, for the exhibitioa of dramatic performances of various kinds; and it be¬ came at length a feene of fo much licentioufnefs and riot, that Sir John Barnard when lord-mayor of Lon¬ don reduced the time of the fair to its original dura¬ tion of three days. This laudable example has been followed ever fince ; and the magiftrates have likewife prohibited all public exhibitions which had been for¬ merly accompanied with fo much diforder. In a ftreet in this ward, called the Old Bailey, is a 87 hall named JuJhce-hall, or the Seffton’s-houfe, where a Old Baj* court is held eight times a year by the king’s com- lcy‘ miffion of oyer and, terminer for the trial of criminals for offences committed within the city of London and county of Middlefex. The judges of this court are the lord-mayor, thofe of the aldermen that have ferved that office, and the recorder, who are attended by the (herift’s and by one or more of the natiorraljudges. In this ftreet is affo the great criminal prifon, lately 88 built in a much more convenient fituation, and on a NewSate* more enlarged plan than the former prifon, called Newgate; by which name ft. is fti.ll diftinguiftied. Here the unfortunate debtor will no longer be an¬ noyed by the dreadful rattle of chains, or by the more horrid lounds iffuing from the lips of thofe wretched beings whq fct defiaass W all laws divine and human- § UEsi LON C 2^9 1 LON Lotion. ai\(5 We alfo the offender, whofe crime is not capital, -v—— may enjoy all the benefits of a free open air. 89 In this ward is likewife a prifon called the Fleet- Pleet-pri- prifon, from a fmall river named the Fleet which for- £mi. merly run by it: this building is large, and reckoned the bell in the city for good rooms and other conve¬ niences. It has the benefij: of a large yard, which is enclofed with a very high wall. This prifon is as an¬ cient as the reign of Richard I. and belongs to the court of chancery, &c. 90 In Chancery-lane, in this ward, is an office confift- The Rolls ing Gf a houfe and chapel, called the office and chapel of the Rolh, from being the great repofitory of the modern public rolls and records of the kingdom. This building was originally the houfe of an eminent Jew; but being forfeited to the crown, King Henry III. in the year 1223 converted ft into an hofpital for the reception and accommodation of Jewifh and other pro- felytes. In 1377, Edward III. granted this hofpital and its chapel to William Burftall mafter of the rolls, to whofe fucceffors in that office it has ever fince be¬ longed. Round this office there is a fmall diftritt confifting of about 200 houfes, called the Liberty of the Rolls, over Which the magiftrates of London have no authority, it being uhdter the government of the mafter of the rolls. In this ward are feveral Infjs df court and chancery, particularly the Inner and Middle-Temple, Searjeaht’s- Ir,n, Clifford’s-Inn, Barhard’s-Inn, Staples-Inn, and FtirnivaPs-Ihn. The Temple received its name from being originally iTheTem- founded by the Knight’s-Templars, who fettled here pie. in 1185. It was at firft called the New Temple, to diftinguiffi it from the former houfe of the Knight’s- Templars, which ftood in Holborn near Chancery- 'lane. The original building was divided into three parts ; the Inner, the Middle, and the Outer Temple. The Inner and the Outer Temple were fo called, becaufe one was within and the other was without the Bar ; and .the Middle derived its name from being fituated between them. Upon the diffolution of the order of Knights-Templars, the New Temple devolved to the Knights-Hofpitallers of St John of Jerufalem, who granted a leafe of it to the ftudents of the common law, and converted that pdrt of it called Inner and Middle Temple into two inns of court for the ftudy and practice of the common law. The Outer Temple became a houfe for the earl of Effex. The buildings of the Temple efcaped the lire in 1666, but were inoft of them deftroyed by fubfequent fires, and have fince been rebuilt. The two Temples are each divided into feveral courts, and have pleafant gardens on the banks of the Thames. They ar.e ap¬ propriated to diftindt focieties, and have feparate halls, where the members dine in common during term-tilne. The Inner-Temple hall is faid to have been built in the reign of Edward III. and the Middle-Temple hall, which is a magnificent edifice, was rebuilt in 1572 in form of a college-hall. The Middle-Temple gate, Mr Pennant informs us, was created by SifAmias Powlet on a lingular occafion. It feems that Sir A- tnias, about the year 1501, thought fit to put Cardi¬ nal Wolfey, then parfon of Lymington, into the ftocks. In IJiJ* being fent for to London by the cardinal on account of that ancient grudge* he was commanded Land*!* not to quit town till farther orders. In confequence, v i he lodged five or fix years in this gateway, which he rebuilt; and to pacify his eminence, adorned the front with the cardinal’s cap, badges, cognifance, and other devices of this butcher’s fon : fo low were the great men obliged to ftoop to that meteof of the times ! Each temple has a good library, adorned with paint¬ ings and well furnilhed with books. An affembly, called a parliament, in which the affairs of the fociety of the Inner-Temple are managed, is held there every term. Both Temples have one church, firft founded in 1185 ^7 the Knights-Templars; but the prefent edifice is fuppofed to have been built in 1420. It is fupported by neat llender pillars of Suffex marble, and is one of the moll beautiful Gothic ftrudtures in Eng¬ land. In this church are many monuments, particu¬ larly of nine Knights-Templars cut in marble in full proportion, feme of them feven feet and a half long; fix are crofs-legged, and therefore fuppofed to have been engaged in the crufades. The minifter of this church, who is ufually called the mcfltr of the Temple^ is appointed by the benchers or fenlor members of both focieties, and prefented by a patent from the crown. Shakefpeare (whether from tradition or hiftory) makes the Temple garden the place in which the badge of the wffiite and red rofe originated; the diftinclive badge of the houfes of York and Lancafter, under which the refpedlive partizans of each arranged themfelves in the fatal quarrel which caufed fuch torrents ef Englifh blood to flow. Near the Temple-bar is the Devil Tavern, fo called from its fign of St Dunftan feizing the evil fpirit by the nofe with a pair of hot tongs. Ben Jonfon has immortalized it by his Leges Conviviales, which he wrote for the regulation of a club of wits held here in a room he dedicated to Apollo; over the chimney- piece of which they are preferved. The tavern was in his days kept by Simon Wadloe; whom, in a copy of verfes over the door of the Apollo, he dignified with the title uf King of SkinLers. Serjeant’s-Inn is a fmall inn in Chancery-lane, where 9s- the judges and ferjeants have chambers, but not houfes, Chancer - as they had in another inn of this name in Fleet-ftreet, anC -which they abandoned in 1730; but in each of them there is a hall and a chapel. Clifford’s-Inn is an inn of chancery belonging to the Inner-Temple, It was ori¬ ginally a houfe granted by Edward II. to the family of the Cliffords, from which it derived its name ; but was aftenvards let upon leafe to the ftudents of the law', and in the reign of Edward III. fold to the mem¬ bers of this fociety. Bernard's-Inn is likewife an inn of Chancery belonging to Cray’s-Inn. It Hands in Holborn, and w'as the houfe of John Mackworth dean of Lincoln, who gave it to the profeflbrs of the law. Staple’s-Inn belongs alfo to Gray’s-Inn, and is fituated in Holborn. It was once a hall for the merchants of the ftaple for wool, whence it derives its name ; but it wras purchafed by the benchers of Gray’s-Inn, and has been an inn of chancery fince the year 1415. Furnivql’s-Inn is an inn of chancery belonging to Lin- coln’s-Inn, and was once the houfe of the family of the Furnivals, by whom it w'as let out to the profef- fors of the law. It is a large old building, with a hall and a pleafant garden. K k 2 In LON [ 260 1 LON London. In Colman-ftreet ward, on the fouth-fide of a large tr" ^ fquare called Mootjields, ftandi Bethlehem-hofpital, found- 9t ed in 1675 by the lord-mayor and citizens of London for t]-ie reception and cure of poor lunatics. It is a ' noble edifice, built with brick and ftone, and adorned with pilafters, entablatures, and fculpture; particularly with the figures of two lunatics over the grand gate, which are well executed. This- building is 540 feet long and 40 broad, exclufive of two wings of a later eredtion, intended for the reception of fuch lunatics as are deemed incurable. This hofpital contains a great number of convenient‘cells or apartments, where the patients are maintained and receive all medical affift- ance without any other expence to their friends than that of bedding. The ftru&ure is divided into two ftories, through each of which runs a long gallery from one end of the houfe to the other. On the fouth fide are the cells, and on the north the windows that give light to the galleries, which are divided in the middle by handfome iron-gates, to keep the men and women feparate. This hoipital being united to that of Bride¬ well, both are managed by the fame prefident, gover¬ nors, treafurer, clerk, phyiician, furgeon, and apothe¬ cary; but each has a lie ward and inferior officers pecu¬ liar to itfelf. 94 ( Oppofite to Bethlehem-hofpital Hood that of St Ho^kal* Lukty a l°ng plain building, till of late appropiated to 0 ^K“ ‘ the fame purpofes, but wholly independent of the for¬ mer. It was founded on the humane confideration that Bethlehem was incapable of receiving all the mi- ferable objects which were offered. Of late years the patients were removed from the old hofpital to a new one erefted under the fame name in Old-ftreet, on the plan of the former, extending in front 393 feet. The old hofpital is now pulled down, and replaced by a handfome row of houfes. Uncured patients may be taken in again, by a very liberal regulation, on the payment of five IhiUings a week : fo that their friends may, if they cboofe, try a fecond time the force of me¬ dicine on their unhappy relations or acquaintances. 95 Beiides the three markets already mentioned at Different Snfithfield for cattle and hay,atLeadenhall for butcher’s ar et''" meat, wool, hides, and Colchefter baize, and at Bil- lingfgate for filh ; there are in this city the following other markets, which are all very confiderable, -viz. Honey-lane, Newgate, and Fleet-market, chiefly for flefli, thought with feparate divifions for filh, butter, eggs, poultry, herbs, and fruit; and the Three-Cranes market, for apples and other fruit. The principal corn- market is held in a neat exchange fituated in Mark- lane, and that for flour at Queenhithe. In Thames- ftreet, near Billingfgate, there is an exchange for deal¬ ers in coals and mailers of veflels in that trade to tran- fa£l their bufinefs. II. The Borough of Southwark. It was called by the Saxons Suthy or the “Southwork,” in refpeft to feme fort or fortification bearing that afpe£l from London. It was aifo called the Borough, or Burg, probably from the fame reafon. It was long inde¬ pendent of the city of London : but, in confideration London, of the inconveniences arifing from the efcape of ma- "• s—J lefaclors from the great capital into this place , it was in 1327 granted by Edward III. to the city on pay-2i Borough ment of L. 10 annually. It was then called the •village of South- of Southwark; it was afterwards llyledthe bailiwick of wark, it* Southwark, and the mayor and commonalty of Lon- don appointed the bailiff. This power, however, notti0n’ being fufficient to remedy the evil, a more intimate conneftion w’as thought neceflary ; and in the reign of Edward VI. on a valuable confideration paid to the crown, it was formed into a 26th ward, by the title of Bridge-Ward Without; with a refervation of certain privileges enjoyed there by the archbifliop of Canter¬ bury and fome other eccleiiaftics. In confequence of this, it was fubjecled to the lord-mayor of London, with the lleward and bailiff. But Southwark being divided into two parts, this is to be underftood of the divifion called the Borough Liberty, which confifts of three of the pariflies belonging to the town, with the greater part of a fourth parifh. For the city divifion, the lord-mayor by his fteward holds a court of record every Monday at the feffions-houfe on St Margaret’s Hill in this borough for all debts, damages, and tref- pafles, within the limits of his jurifdidlion.-—The other divifion is called the Clink, or the Manor of Southwark, and is fubdivided into the Great Liberty, the Guild¬ hall, and the King’s Manor; for each of which fubdr- vifions a court-leet is held, where the conftables, ale¬ conners, and flelh-tafters, are chofen, and other bufi¬ nefs of this kind tranfa&ed. A court-houfe, called 9^ Union-Hall, has lately been built in the new llreet Court*, called Union-Jlreet, which leads in a direct line from the high-ftreet in the Borough to Great Surry-ftreet Blackfriars-road. The Clink liberty is under the ju- rifdiftion of the bifhop of Wincheller, who, befides a court-leet, keeps here a court of record on the Bank- fide near St Saviour’s church by his fteward or bailiff* for pleas of debt, damages, and trefpaffes. Court- leets are alfo kept at Lambeth, Bermondfey, and Ro- therhithe, three fmall diftritls adjoining to the Borough, —There is a counter for the imprifonment of offen- ^ ders in the bailiwick, and another for the Clink liberty; prifons, to which may be added the Surry workhoufe for va¬ grants. Beiides there, there is the Marihalfea-prifon, which is the county-gaol for felons, and the admiralty- gaol for pirates ( g ); in which is a court firft eredted for trials of caufes between the king’s domeitics or me¬ nial fervants, of which the knight-marihal is prefident, and his fteward judge, to whom belong four counfellors and fix attorneys ; and the court is held every Friday by him or his deputy, for debt, damages, and tref¬ paffes, in caufes for 10 miles round Whitehall, except¬ ing London.:—In this quarter is alfo the King’s-bench prifon, the rules of which are above two miles in cir¬ cuit, and comprife the greateft part of St George’s Fields. Here was committed Henry prince of Wales, afterwards King Henry V. by the fpirited and honeft judge Gafcoigne, for linking or infuking him on the bench. (g) In 1377 this prifon was broke open by a mob of failors, who murdered a gentleman confined in it for killing one of their comrades, and who had been pardoned by the court. It was again broke open by Wat Tyler and his followers in 1381. It efcaped in the infamous riots of 1780; while the King’s-Bench, the Jlorough-prifon, and the Clink-prifon, were nearly at the fame inftant facrificed to their fury. ION r 261 ! LON London, bench. In this prifon the allowance is fomewhat bet- '-“'V ter than that of the commons prifons ; for which rea- fon, many debtors remove themfelves hither by habeas corpus. It is properly a place of confinement in all cafes triable in the King s-bench court.—The firft time that Southwark is mentioned in hiltory is on oc- caiion of Earl Goodwin’s failing up the river to at¬ tack the royal navy of 50 /hips lying before the palace of Weftminfter: this was in 1052, when we are told he went all Suthweorce, and ftayed there till the re¬ turn of the tide. 99 Southwark confifts of the parifhes of St Olave, Panfhes, gt Saviour, St George, and St Thomas; the parilh of ' ’ Chrill-church, though contiguous to the borough, is in the county of Surry. The principal church in Southwark is that of St Saviour, which was formerly a priory of regular ca¬ nons. Being dedicated to the Virgin Mary, and fi- tuated near the bank of the Thames, it was called St Alary Over Ree, or Overy, by which appellation it is commonly known. This church is built in the man¬ ner of a cathedral, with three aides from eaft to well, and a^crofs aifle. It is reckoned the largeft parifh- church in England, the three aides firlt mentioned meafuring 269 feet in length, and the crofs aide 109 feet. The height within is 47 feet, and it has a tower with four fpires 150 feet high. Not far from St George’s church flood the magni¬ ficent palace of Charles Brandon duke of SuiFolk, the deferved favourite of Henry VIII. After his death, in 1545, it came into the king s hands, who eftabliihed here a royal mint. It at that time was called South- ivark Place, and in great meafure preferred its dig¬ nity. Edward VI. once dined in it. His fitter and fucctffor prefented it to Heath archbifhop of York, as an inn or refidence for him and his fucceffors when¬ ever they repaired to London. As to the mint, it became a fanCtuary for infolvent debtors; at length becoming the peft of the neighbourhood, by giving flicker to villains of every fpecies that awakened the attention of parliament; which, by the ftatutes 8 and 9 Will. III. 9 George I. and 11 George I. entirely took away its abufive privileges, too It* the parilh of Chrifl-church, near the water on Ancient Bankfide, flood Paris-garden, one of the ancient play- hl)des of our metropolis. Ben Jonfon is reproached ei 10 ’* by one Decker, an envious critic, with his ill fucysefs on the ftage, and in particular with having performed the part of Ziiliman at Paris-garden. It feems to have been much frequented on Sundays. This pro¬ fanation (Mr Pennant obferves) was at length fully puniflied by the dire accident which befel the fpedta- tors'in 1582, when the fcaffolding fuddenly fell, and multitudes of people were killed or miferably maimed. The omen feems to have been accepted ; for in the next century the manor of Paris-garden was eredled into a parifti, and a church founded under the namb of Chrift’s. Beyond this place of amufement were the Bear-gar¬ den and place for baiting of bulls, the Britijh circi: “Herein (fays Stow) were kept fceares, bulls, and other beafts to be bay ted; as alfo rnaftives in -feveral ken¬ nels nourifhed to bayt them. Thefe beares and other beafls are there kept in plots of ground fcaffolded about, for the beholders to lland lafe.” This was then an amufement for perfons of the firft rank : our great, London-, if not good, Elizabeth caufed the French ambalfadors v 'J to be carried to this theatre, to divert them with thefe bloody fpe&acles. . Iit Not far from thefe feenes of cruel paftime was theThe grews. Bordello or Stews, permitted and openly licenfed by government, nnder certain laws or regulations. They were farmed out. Even a lord-mayor did not difdain to own them ; but rented them to the Frues, that is “ the bawds,” of Flanders. Among other Angular regulation-, no ftewholder was to admit married wo¬ men ; nor -were they to keep open their houfes on Sundays; nor were they to admit any women who had on them the perilous infirmity of burning. Thefe in¬ famous houfes were very properly fuppreffed in the reign of Henry VIII. The bifhop of Winchefter had formerly a palace here with a park (the fame that is now called South- wark-park), which is fince converted into warehoufes and tenements, held by leafe. from the bilhops of that fee. Befides feveral aim s-houfes, there are here StThomas’s its and Guy’s hofpilals, two of the nobleft endowments in ^ Thomas's England. The former was firft eredled in 1215 by °Plta Peter de Rupibus biftiop of Winchefter, who endowed it with land to the amount of L.343 a year; from which time it was held of the abbots of Bermondfey, one of wliom in 1428 granted ariglrt to the mafter of the hofpital to hold all the lands it was then in pofief- fion of belonging to the faid abbot and convent, the whole revenue of which did not exceed L..266 : 17:6 per annum. In the year 1551, after the citizens of London had purchafed of Edward VI. the manor of Southwark and its appurtenances, of which this hof- pital wasa part, they expended L.x 100 in repairing and enlarging the edifice, and immediately received into it 260 patients; upon which the king in 1553 incorporated this hofpital with thofe. of Chrift-church and Bridewell in the city of London. The building being much decayed, three beautiful fquares adorned with colonades were erected by voluntary fubfeription in 1693, to which in 1732 the governors added a mag¬ nificent building, confifting of feveral wards with pro¬ per offices. The annual difburfements of this hofpital have for many years amounted to L.8000. The houfe is divided into iq wards, and is faid to contain 474 beds. Adjoining to St Thomas’s Hands Guy's hofphal, per- 113 haps the moft extenfive charitable foundation that evetGra>)’s was eftabliihed by one man in private life. The foun- A u ’ der of this hofpital was Thomas Guy, a bookfeller in Lombard-ftreet, London, who lived to fee the edifice roofed in; and at his death, in 1724, left L. 238,292, 16s. including the expence of the building, to finiftt 4 and endow it. This hofpital confifts of. two capacious fquares, containing 12 wards and 435 .beds. It was. incorporated by charter from parliament, .and the firit • governors were appointed in 1725. In St George’s Fields, weftward of the King’s-bench prifon, is the Magdalen hofpital for the reception of pe¬ nitent proftitutes ; a little farther is fituated the Aiy- lum for orphan girls ; Snd not far diftant is the Weft¬ minfter Lying-in hofpital: Inftitutions, of which the following feeling and animated account is given by- Mr Pennant. 4. TU- •The Mag- fialen Ho- %ital. I/ying-in Hofpital. LON [ ^62 J LON “ The yffyhm is an inftitution of a moil heavenly recommend. And of both defcriptions upwards of London nature, calculated to fave from perdition of foul and 4000 have experienced its falutary effett.” 'J. body the brighter part of the creation; fuch on whom St George’s Fields are now almoft covered with r,^ Providence hath beftowed angelic faces and elegant new-erefted buildings, from the ditch at the end of St George1* forms, defigned as bleflings to mankind, but too often Great Surry-ftreet, or Burrow’s buildings, to the Fiih- fields, debafed to the vileft ufes. The hazard that thefe in- mongers almflioufes, in one direftion ; and from the nocents conftantly are liable to from a thoufand temp- Marfhalfea-prifon to the Dog and Duck, in the other rations, from poverty, from death of parents, from the direction ; with feveral irregular indentions -in its cir- diabolical procurefs, and often from the itupendous cumference : And where the principal roads meet an wickednefs of parents themfelves, who have been known obelilk has been erefted, pointing out the diftance it to fell their beauteous girls for the purpofe of profti- Hands from different parts of London, Weftminfter, tution, induced a ^worthy band to found ia the year and Blackfriars bridges. Among the buildings which 1758 the Afylum or Houle of Refuge. Long may ferve to embellifh and improve this entrance to Lon- it flouriih, and eternal be the reward of thofe into don, Chatham fqnare and Bridgeflreet Blackfriars may whofe minds fo amiable a conception entered! be particularly fpecified. “ To afford means of falvation to thofe unhappy At Lambeth, the archbifhops of Canterbury have beings who had the ill fortune to lofe the benefits of had a palace. According to Mr Pennant, it was in Lambetk this divine inftitution, the Magdalen Hofpital was in- the earlier times a manor, poffibly a royal one; for Palace, flituted for the reception of the penitent proftitutes. the great Hardiknut died here in 1042, in the midft To fave from vice, is one great merit. To reclaim of the jollity of a wedding dinner; and here, without and reftore to the dignity of honeft rank in life, is any formality, the ufurper Harold is faid to have certainly not lef meritorious. The joy at the return fnatched the crown and placed it on his own head. rid of wonder* in one clofet (hut: Thefe famous Antiquarian*, that had been Both gardeners to the Rofe and Lily Queen, Tranlplanted now themi'elve.*, fleep hr re; and when Angels dial! with their trumpets wake men, And fire (hall purge the world, thefc hence lhall rife, And change this garden for a paradife. no From Lambeth, eaftward along the river fide, was Lambeth- once a long tra& of dreary marfli, and ftill in parts tnarfii, called Lambeth-marjh ; about the year 1560, there was not a houfe’on it from Lambeth palace as far as Southwark. In a ftreet called Narrow-wall (from one of the ancient embankments) is Mrs Conde’s noted 63 ] LON manufa&ory of artificial Hone (1): And at a fmall London, dtftance, MdT. Beaufoy’s great work for making wines —— (k), and that for making vinegar (l). This ground, fo profitable to the proprietors, and 111 fo productive of revenue to the ftate, was within me- nufadorijs. mory the feenc of low diflipation. Here flood Cuper’s garden, noted for its fire-works, and the great refort of the profligate of both fexes. This place was orna¬ mented with feveral of the mutilated flatues belonging to Thomas Earl of Arundel, which had-been for that purpofe begged from his lordfhip by one Boyder Cu- per, a gardener in the family. The great timber- yards beneath which thefe antiquities were found, are very well worthy of a viiit. One would fear that the forefts of Norway and the Baltic would be exhauiled, to fupply the want of our overgrown capital, were we not affured that the refources will fucceflively be increafing equal to the demand of fucceeding ages.— In this parifli are alfo the vaft diftilleries, till of late the property of Sir Jofeph Mawbey ; where are fel- dom lefs than 2000 hogs conftantly grunting, and kept entirely on the grains. III. City and Liberties of Westminster. The city na of Weftminfter derives its name from a bey, and weft, on account of its fituation with refpeft \yeftm:n~- to St Paul’s cathedral, which was formerly called Eajl- fter. minjler. In ancient times this dillriil flood upwards of a mile from the city of London, and contained only two parifhes, which were thofe of St Margaret and St John, with two chapels of eafe, but at prefent it has feven other parochial churches, viz. St Clement’s Danes, St Paul’s Covent-garden, St Mary’s-le-Strand, St Martin’s in the Fields, St Anne’s, St James’s, and St George’s Hanover-fquare. Weftminfter ruin impending over their houfe, after crofling the Thames from the abdicated Whitehall, took ftielter be¬ neath the ancient walls of this church a whole hour, frdm the rain of the inclement night of December 6th, 1688. Here (he waited with aggravated mifery, till a common coach, procured from the next inn, arrived, and conveyed her to Gravefend, from whence (he failed, and bid an eternal adieu to thefe kingdoms. (1) Her repofitory confifts of feveral very large rooms filled with every ornament which can be ufed in archite&ure. The ftatue, the vafe, the urn, the rich chimney-pieces, and, in a few words, every thing which could be produced out of natural ftone or marble by the moft elegant chifcl, is here to be obtained at an eafy rate. (k.) “ Where (fays Mr Pennant) the foreign wines are moft admirably mimicked. Sucfr is the prodi¬ gality and luxury of the age, that the demand for many forts exceeds in a great degree the produce of the native vineyards. We have fkilful fabricators, who kindly fupply our wants. It has been eftimated, that half of the port, and five-fixths of the white wines confutned in our capital, have been the produce of our home wine prefles. The product of duty to the ftate from a Angle houfe was in one year, from July 5th 1785, to July 5th 17.86, not lefs than L. : 9 : 8^. The genial banks of the Thames oppofite to* our capital, yield almoft every fpecies of white wine ; and by a wondrous magic, MefT. Beaufoy pour forth the materials for the rich Frontiniac, to the more elegant tables; the Maderia, the Calcavella, and the Lif- bon, into every part of the kingdom.” (l) “ There is a magnificence of bufiriefs (our author remarks) in this ocean of fweets and fours, that cannot fail exciting the greateft admiration : whether we coniider the number of veffels or their fize. The boafted tun at Heydelberg does not furpafs them. On firft entering the yard, two rife before you,, covered at the top with a thatched dome ; between them is a circular turret, including a winding ftaircafe, which brings you to their fummits, which are above 24 feet in diameter. One of thefe confervatories is full., of fweet wine, and contains 58,109 gallons, or 1,815 barrels of Winchefter meafure. Its fuperb affociate.. is full of vinegar, to the amount of 56,799 gallons, or 1,774 barrels of the fame ftandard as the former.. The famous German veflel yields even to the laft by the quantity of 40 barrels.— Befides thefe, is an avenue of lefler veffels, which hold from 32,500 to 16,974 gallons each. After quitting this Brobdignagian feenq* we pafs to the acres covered with common barrels: we cannot diminifti our ideas fo fuddenly, but at firl\ we imagined we could quaff them off ss as Gulliver did the little hogftieads of the kingdom of Lilligut*” LON [ 264 ] LON 'London. Weftminfter was anciently called Thorny-ifland, quently repeated the bounty fince that time. The London. from its having been covered with thorn-bulhes, and form of the abbey is that of a long crofs: i ts greateft ——y— Govern encompalTed by a branch of the Thames, which is faid length is 489 feet, and the breadth of the well front ment of t0 ^avc run through the ground now called St James’s- 66 feet; the length of the crofs aile is 189 feet, and Weftmin- park, from weft to eaft, and to have rejoined the river the height of the roof 92 feet. At the weft end are at Whitehall. Till the general difiblution of religious houfes, Weft- minfter was fubjeift to the arbitrary rule of its abbot and monks; but in 1541, upon the furrender of Wil¬ liam Benfon the laft abbot, Henry VIII. not only turned it into an honour, but created it the fee of a bifhop, and appointed for a diocefe the whole coun¬ ty of Middlefex, except Fulham, which belonged to the bifhop of London. This bifhoprick, how¬ ever, foon after its inftitution, was diffolved by Ed¬ ward VI. The city of Weftminfter is governed by a high fteward, an officer of great dignity, who is ufually one of the firft peers in the realm ; and is chofen for life by the dean and chapter of the collegiate church of St Peter. There is alfo a deputy fteward and a high bailiff, who alfo hold their offices for life ; being no¬ minated by the dean and chapter, and confirmed by the high fteward. The dean and chapter are invefted with an ecclefia- ftical and civil jurifdiftion within the liberties of Weft¬ minfter, St Martin’s-le-Grand, near Cheapfide, in the city of London, and fome towns in Effex, which are exempted from the jurifdiftion of the bifhop of Lon¬ don and the archbifhop of Canterbury. 134 St Margaret’s church was founded by Edward' the Churches. Confeffor, fince which time it has been frequently re¬ built. In the eaft end Of this church is a window cu- rioufly painted, with the hiftory of the crucifixion,' and with the figures of feveral apoftles and faints fine¬ ly executed. It formerly belonged to a private cha¬ pel at Copt-hall, near Epping in Effex, and was purchafed by the officers of this parifh fome years ago for 400 guineas. In this church the houfe of commons attends divine fervice bn ftate holidays. The church of St John the Evangelift was erecled in 1718, and having funk confiderably whilft it was ■ building, occafioned an alteration of the plan. On -the north and fouth fides are magnificent porticoes, fupported by vail ftone pillars, as is alfo the roof of the church ; at each of the four corners is a beautiful ftone tower apd pinnacle, which were added with the view of making the whole ftrufture fink equally. The parts of this building are held together by iron bars, which run acrofs even the ailes. 135 The moll remarkable ftructure in Weftminfter is Weftmin- the ahbey-church of St Peter. On its fite flood once a and*it«be5 ’ temP'e °f Apollo, which according to tradition was chapels. thrown down by an earthquake in the time of Anto¬ ninus Pius ; and from the ruins of which, Sebert king of the Weft S'axoas railed a Chriftian church, which was ruined by the Danes. It was repaired by Ed¬ ward the Confeffor, and given to a few monks; and this fpot he chofe for his burial-place. Henry III. 160 years after, took down this fabric of Edward’s, and erefled a new church, which was 50 years in building. It fuffered much by fire in 17.74, but was repaired by Edward I. Edward II. and the abbots. In 1700 this church being much decayed, the parlia¬ ment granted money for repairing it, and has fre- NJ187. two towers: the nave and crofs aile are fupported by 50 flender pillars of Suffex marble, exclufive of pila- fters. In the upper and lower ranges there are 94 windows, all which, with the arches, roofs, and doorsT are in the Gothic tafte. The infide of this church is much better executed than the outfide : and the perfpedliye is good, particularly that of the grand aile. The choir, from which there is an afeent by feveral fteps to a fine altar-piece, is paved with black and white marble •, having 28 flails on the north, the fame number on th- fouth, and eight at the weft end. The altar is made of a beautiful piece of marble, the gift of Queen Anne, inclofed by a curious baluftrade, and upon a pavement of porphyry, jafper, Lydian, and ferpentine Hones, laid in the Mofaic ftyle, at the ex¬ pence of abbot Ware, A. D. 1272 ; and is faid to be one of the moll beautiful of its kind in the world. On each fide, of this altar a door opens into St Ed¬ ward’s chapel ; round which are 10 other chapels, ranging from the north to the fouth crofs ailes, and are dedicated, 1. To St Andrew. 2. To St Michael. 3. To St John Evangelift. 4 Iflip’s chapel. 5. To St John Baptill. 6, To St Paul. 7. Henry V.’s cha¬ pel. 8. To St Nicholas. 9. To St Edmund. 10. To St Benedifl. In St Edward's chapel are Hill to be feen the remains of his Ihrine; which, though now in obfeurity, and robbed of all its riches and luftre, was once elteemed the glory of England, fo far as art and riches could make it. Here are the tombs of King Edward I. and fe¬ veral other kings and queens of England; and here alfo is ffiown the famous chair in which the kings of Scot¬ land ufed to be crowned at Scoon. Henry V.’s chapel is divided from St Edward's by an iron fereen, on each fide of which are ftatues as big as life.—St Andrew’s chapel, which is next the north crofs, and the others which furround the choir, are crowded with the mo¬ numents of noble perfonages, worthy the attention of the curious.—At the corner of St Benedift’s chapel, an iron gate opens into the fouth crofs aile; which from the number of monuments ereded thereinto cele¬ brated Englilh poets, has obtained the name of the Poets corner: though here we find a moll magnificent monument erefted at the fouth end in memory of the late John duke of Argyle and Greenwich ; another to William Camden the antiquarian ; and others to the celebrated divine #r Ifaac Barrow, to Thomas Parr who died at the age of 152 years, &c.—The fouth aile is adorned with 19 curious monuments of the pi* ous, the brave, and the learned; and turning north¬ ward from the weft door, we view a great number more. On the eaft of the abbey, and which, though fepa- 146 rate from the other chapels in the choir, feems to Henry’s be one and the fame building with the abbey, Hands c*ialie** the chapel of King Henry VII. which that king foun¬ ded in the year 1502, and was at that time ftyled the •wonder of the •world, and is now one of the moft ex- penfive remains of the ancient Englilh tafte and mag¬ nificence. There is no looking upon it without ad¬ miration . LON t ] LON f*ndon, miration : it conveys an idea of the fine tafte of Go- v ' thic architefture in that age : and the infide is fo noble, majeftic, and of fuch curious workmanihip, that it would take a volume to defcribe each part with juftice and propriety. Its original intention Was to be a dormitory for the royal blood : and fo far the will of the founder has been obferved, that none have been interred therein but fuch as have traced their defcent from, ancient kings. The tomb of King Henry VII. is moft magni¬ ficent, inclofed with a fcreen of call brafs, moft admi¬ rably defigned, and as well executed. Within the rails are the figures of that king and his royal eonfort, in their robes of ftate, on a tomb of black marble : and at the head of this tomb lie the remains of Edward VI. In different parts of this chapel are the monuments of Lewis Stuart duke of Richmond, George Villars duke of Buckingham, John Sheffield duke of Buckingham, Charles Montague marquis of Hallifax, Edward V. and his brother Richard ; the vault of James I. and his queen Anne and daughter Mary, on Which is a fmall tomb adorned with the figure of a child ; a lofty mo¬ nument of Queen Elizabeth, and another of Mary Queen of Scots; the monuments for Margaret Douglas daughter of Margaret queen of Scots, Margaret couri- tefs of Richmond mother to Henry VII. the vault of King Charles II. and William III. Queen Mary his confort, Queen Anne, and Prince George. Over thefe royal perfonages are their effigies (except that of prince George) in wainfcot preffes, made of wax to referable life, and dreffed in their coronation robes. And at the corner of the great eafl window, in another wainfcot prefs, ftands the effigy of Mary duchefs of Richmond daughter to James duke of Richmond and Lenox, dreffed in the very robes fhe wore at the coro¬ nation of Queen Anne. On leaving the aide, you are {hown another prefs, containing the effigy of general Monk, who, on account of his loyalty, and the part he took in the reftoration of King Charles II. had a vault appropriated to him and his family amOngft the royal blood. In a fine vault under Henry the VII.’s chapel, is the burying-place of the prefent royal family, erected by his late majefty king George II. Adjoining to the abbey are the cloyfters, built in a quadrangular form, with piazzas towards the court, where feveral of the prebendaries have their houfes. 127 Near the abbey church is the King’s fchool, ufually Weft min- called Wejlmwjler School. It was originally founded in fter School. I0y0> and a fecond time by Queen Elizabeth in 1560, whence it is fometimes called the .Queen’s College ; and is at prefent one of the greateft fchools in the king¬ dom. The learned antiquary Mr Cambden was once mafter of it, and Ben Jonfon one of his fcholars. Dr Bulky, who was mafter upwards of 50 years, greatly contributed to keep up its reputation, formed its mufeum, and improved both the mafter’s and his prebendal houfe.—This fchool, inftead of one mafter and one ufher as at firft, has now an upper and under mafter, and five ufters, who have about 400 youths under their tuition. A plan was fet on foot when the prefent archbilhop of York was mafter, for build¬ ing a college for the ufe of the ftudents, but this did hot fucceed. Vot.X. Part I. • On the north-eaft fide of the abbey is an old Go- bftadoM. thic building called IVtjiminjler-hall, firft built by Wil- liam Rufus as an addition to a royal palace, and after- Weftmin- wards rebuilt by Richard II. in the year 1397. Itfter-hall, is reckoned one of the largeft rooms in Europe, be¬ ing 200 feet long, 70 broad, and 90 high, fup- ported only by buttreffes. The roof is of timber, and was fome years ago Hated, the old covering of lead being reckoned too heavy. It is paved with ftone. In this fpacious room the kings of England have ge¬ nerally held their coronation and other folemn feafts; and it is ufed for the trial of peers. Since the reign of Henry III. the three great courts of Chancery, King’s Bench, and Common Pleas, have been held in feparate apartments of this hall; and the court of Ex¬ chequer above flairs; Adjoining to the fouth-eaft angle of Weftminfter- Houfe of hall is a building formerly called St Stephen's Chapel-, Common^ from its having been dedicated to that faint. It was founded by King Stephen ; and in 1347 was rebuilt by King Edward III. who converted it to a colle¬ giate church ; but fince it was furrCndered to Ed¬ ward VI. it has been ufed for the affembly of the re- prefentatives of the commons of England, and is now generally called the Houfe of Commons. The benches, which afeend behind one another is in a theatre, are covered with green cloth ; the floor is matted ; and round the rqom are wainfcot galleries, fupported by cantilevers adorned with carved work, in which ftran- gers are often permitted to fit and hear the debates. t3<, . On the fouth fide of the hall is the Houfe of Lords, Houfe of fo called from being the place where the peers of^10^8. Great Britain affemble in parliament. It is an oblong room, not quite fo large as the houfe of commons ; and is hung with fine old tapeftry, reprefenting the defeat of the Spaniih Armada in 1588. The defign was drawn by Cornelius Vroom, and the tapeftry exe¬ cuted by Francis Spiering. It was not put up till the year 1650, two years after the extin&iop of mo¬ narchy, when the houfe- of lords was ufed as a com¬ mittee-room for the houfe of commons. The heads of the naval heroes who commanded on the glorious day form a matchlefs border round the work, anima- ting pofterity to emulate their illuftrious example. Here is a throne for the king, wdth feats on the right and left for fuch peers of the realm as are of the blood royal. Before the throne are three broad feats ; on the firft of which, next the throne, fits the Lord Chancellor, or keeper of the great feal, who is fpcaker of the houfe of peers ; and on the other two fit the judges, the mafter of the rolls, or the matters in chan¬ cery, who attend occafionally to give their opinions on points of law. The two archbilhops fit at fome diftance from the throne on the right hand, and the other bilhops in a row under them. All the benches are covered with red cloth ftuffed with wool. Here likewife, by a late order of the houfe, a gallery for ftrangers has been eredled. »131 Adjoining to the houfe of lords is the Prince's Pence’s Chamber, where the king is robed when he comes to e 3 the parliament. On the other fide is the Painted Chamber, which is faid to have been Edward the Con- feffor’s bed-chamber, and the room in which the par¬ liaments were anciently opened. Here conferences L 1 ate LON r 266 1 LON London. are often held between the two houfes, or their com- i|"Tr—'' " 11 ’ mittees. Contiguous to thofe is an apartment called the Court of Requejls, where fuch as have bufinefs in either houfe may attend. We'huir- N.ar thefe buildings is a bridge over the Thames, -fttr bru’ge. called IVeJlminjier-bridge, accounted one of the moft complete and elegant ftru&ures of the kind in *the known world. It is built entirely of done, and ex¬ tends over the river at a place where it is 1223 feet . broad ; which is above 300 feet broader than at Lon¬ don bridge. On each fide is a fine balluftrade of Hone, with places of Ihelter from the rain. The width of the bridge is 44 feet, having on each fide a fine Toot-way for paflengers. It confifts of 14 piers, and 13 large and two fmall arches, all femicircular, that in the centre being 76 feet wide, and the red decrea- fing four feet each from the other, fo that tire two lead arches of the 13 great ones are each 52 feet. It is computed that the value of 40,000!. in done and other materials is always under water. This magnificent dru&ure was begun in 1739, and finifhed in 1750, at the ^xpence of 389,000!. defrayed by the parliament. It was built after the defign of Monf. Labelye, an ingenious architeft, a native of J22 France. Whiteiiall. On the bank of the Thames, at the ead confines of St Margaret’s parilh, was a palace called Whitehall, originally built by Hubert de Burgh earl of Kent, be¬ fore the middle of the 13th century. It afterwards devolved to the archbilhop of York, whence it recei¬ ved the name of Turk Place, and continued to be the city fefidence of the archbifliops till it was purchafed by Henry VIII.'of cardinal Wolfey in 1530. At this period it became the reiidence of the court; but in 1697 was dedroyed by accidental fire, all except the banqueting-houfe, which had been added to the palace of Whitehall by James I. according to a defign of Inigo Jones. This is an elegant and magnificent ilrufture of hewn done, adorned with an upper and lower range of pillars, of the Ionic and Compofite or¬ ders ; the capitals are enriched with fruit and foliages, and between the .columns of the windows. The roof is covered with lead, and furrounded with a baludrade. The budding chiefly confids of one room of an oblong form, 40 feet high, and a proportionable length and breadth.. The cieling is painted by the celebrated Sir Peter Paul Rubens. It is now ufed only as a chapel- royal, and the other part of the houfe is occupied I34 with date-offices. Ilorfe- Oppofite to the banqueting-houfe dands the Horfe- guards guard., . j .called from being the dation where that part oflfis majedy’s troops ufually do duty. It is a drong’ building, of hewn done, confiding of a centre and two wings. In the former is an arched pafiage into St James’s Park; and over it, in the middle, rifes a cupola. In a part of the building is the War- office. Near the Horfe-guards is the Treafury ; a large building, which fronts the Parade in St James’s >35 Park ; and where the board of treafury is kept. Admiralty- Eadward of the Horfe-guards is the Admiralty-Office, ©nice. a ]arge p,je> built with brick and done. The front towards Whitehall has two deep wings, and a lofty portico fupported by four large done pillars. A piazza, confiding of beautiful columns, runs almod from one end to the other.. The wall before the London, court has Been lately built in an elegant manner, and v— each fide of the gate is ornamented with naval em¬ blems. Befides a hall, and other public apartments, here are fpacious houfes for feven commiffioners of the admiralty. 136 At a littls didance from the admiralty, where three Cbaring- capital dreets terminate, is a large opening calledcro^’ Cbaring-crofs, from one of the erodes which king Ed¬ ward I. caufed to be erefted in memory of his queen Eleanor, and Charing the name of a village in which it was built. The crofs remained till the civil wars in the reign of Charles I. when it was dedroyed by the fanatics, as a monument of popiffi fuperdition ; but after the Redoration, an equedrian ftatue of Charles 1. was fet up in its dead. This, which is of brafs, and finely executed, continues to be an ornament to the place. It was made in 1633, at the expence of the Howard-Arundel family. The parliament fold it to a brazier in Holborn, with drift orders to break, it to pieces; but he concealed it under ground till the Redoration, when it was fet up in 1678. T^ At the wed end of the Mall, in St James’s Park, Queen’s which begins near Charing-crofs, dands the Queen’s fa.ace.. Palace. It was originally known by the name of Ar- lington-hoiife ; but being purchafed by the late duke of Buckingham’s father, who rebuilt it from the ground in 1703, it was called Buckingham-houfe, till the year 1762, when it was purchafed by his majedy for a royal refidence. It is built of brick, and done, having in the front two ranges of piladers of the Corinthian ■ and Tufcan orders. It has a fpacious court-yard, in- clofed with iron rails, fronting St James's Park, with offices on each fide, with two pavilions, feparated from the manfion-houfe by colonades of the Tufcan, Do¬ ric, and Ionic orders. His majedy has here built a fine library, in an oftagonal form, hefides feveral other additions. 138' Eadward of the queen’s palace dands St James’s, St JunesV an old building, which, till the former was purchafed by the crown, had been the town-refidence of the roy¬ al family fince the burning of Whitehall in 1697. This palace was built by Henry VIII. and obtained its name from an hofpital which formerly dood on the fpot. It is an irregular building, of a mean appearance without, but contains feveral magnificent apartments. ^ Here the court and levees are dill kept, and mod of the perfons belonging to the houfhold have their refi¬ dence. The chapel of the hofpital was converted to the ufe of the royal family, as it now remains, and is a royal peculiar, exempted from all epifcopal jurifdic-The Park tion. When this palace was built, it abutted in the and Mali, fouth-wed upon an uncultivated fwampy traft of ground, which the king inclofed and converted into a park, called from the palace St James’s Park. He alib laid it out into walks, and collefted the water into one body. It was afterwards much enlarged and im¬ proved by king Charles II. who planted it with lime trees, and formed a beautiful vida, near half a mile in length, called the Mall, from its being adapted to a play at bowls diltinguifhed by that name. He alfo formed the water into a canal 100 feet broad and 2800 feet long ; and furniffied the park with a decoy, and other pond for water-fowl} but thofe have lately 4 been ■ ' LON [ 267 J LON Jaendcm. been ddtroyed, on account of the unwholefome va- 1—-v— pours which they excited. In a line with St James’s palace, -on the eaft fide, is Marlborough Houfe, which belongs to the duke of Marlborough, and. is a large brick edifice, ornamented The/trand w*t^1 ft°ne> -When firll ’ Eaftward from Charing-crofs, runs that fine ftreet lormed. the Strand, which teiminates at Temple-bar. In the year 1353 the whole of it was an open highway, with gardens to the water-fide. In that year it was fo ruinous, that Edward III. by an ordinance dire&ed a tax to be railed upon wool, leather, wine, and goods carried to the ftaple at Weftminfter, from Temple-bar to Weftminiter abbey, for the repair of the road ; and that all owners of houfes adjacent to the highway fhould repair as much as lay before their doors. Before the above period, it entirely cut off Weftmin¬ iter from London ; nothing intervened except the Scattered houfes, and a village which afterwards gave name to the whole; and St Martin’s flood literally in the fields. But about the year 1560 a ftreet was formed, loofely built; for all the houfes on the fouth fide had great gardens to the river, were called by their own¬ ers names, and in after-times gave name to the feve- ral ftreets that fucceeded them, pointing down to the Thames; each of them had flairs for the convenien- xy of taking boat, of which many to this day b?ar the names of the houfes. As the court was for centuries cither at the palace of Weftminfter or Whitehall, a boat was the cuftomary conveyance of the great to the prefence of their fovereign. The north fide was a mere line of houfes from Charing-crofs to Temple-bar; all beyond was country. The gardens which occu¬ pied part of the fiteof Convent-garden were bounded by fields, and St Giles’s was a diftant country village. Our capital found itfelf fo fecure in the vigorous govern¬ ment of queen Elizabeth, that, by the year 1600, moft confiderable additions were made to the north of the long line of ttreet juft deferibed. St Martin’s-lane was built on both fides. St Giles’s church was ftill infulated : but Broad-ftreet and Holburn were com¬ pletely formed into ftreets with houfes all the way to Snow-hill. Convent-garden and Lincoln’s inn fields were built, but in an irregular manner. Drury-lane, Clare-ftreet, and Long-acre, arofe in the fame pe- 141 riod. , Northum- Almoft contiguous to Charing-crofs, and upon the Houfe f°uth fide of the Strand, is that noble palace called Northumberland-houfe, which ftands on the fite of the hofpital of St Mary Rouncevah Henry VIII. granted it to Sir Thomas Caverden. It was after¬ wards transferred to Henry Howard earl of Northamp- • ton ; who, in the time of James' I. built here a houfe, and called it after his own name. He left it to his kinfman the earl of Suffolk, lord treafurer ; and by the marriage of Algernoon Percy earl of Northumber¬ land, with Elifabeth daughter of Theophilus earl of Suffolk, it paffed into the houfe of the prefent noble owner. The greater part of the houfe was built by Bernard Janfcn, an a rehit eft in the reign of James I. The front next the ftreet was begun by Algernoon in 1748, and finilhed by the prefent duke, who married his daughter. Two additional wings to the front next the Thames, and a variety of other improvements both in building and furniture, have contributed to render London, this houfe the largeft and moft magnificent in. Lon- — don. It contains a gallery of 106 feet long by 26 wide moft fuperbly furnilhed. j47( A Ihort way eaftward, on the fame fide, flood iJur-Durtiam ham Tard, which took its name from a place built ori-Yard- ginally by the illuftrious Thomas de Hatfield, elefted- bilhop of Durham in 1345 ; defigned by him for the town refidence of him and his fucceffors. At this place,, in 1540, was held a moft magnificent feaft, given by the challengers of England, who had caufed to be proclaimed, in France, Flanders, Scotland, and Spain, a great and triumphant jufting to be hclden at Weft¬ minfter, for all comers that would undertake them But both the challengers and defendants were Englifti. After the gallant fpoits of each day, the challengers . rode, unto this Durham-houfe, where they kept open houfehold, and feafted the king and queen (Anne of Cleves) with her ladies, and all the court. In the reign of Edward VI. the mint was eftablilhed in this houfe, under the mahagement of Sir William Shar- rington, and the influence of the afpiring Thomas Seymour, lord admiral. Durham-houfe was reckon¬ ed one of the royal palaces belonging to queen Eliza¬ beth ; who gave the ufe of it to the great Sir Walter Raleigh. _. .143 Durham-yard is now filled with a moft magnificentThe Adel- mafs of building, called the jide^phi, in honour of phi. two brothers, the ingenious Adams, its architefts. Befides its fine lodgings, it is celebrated for its en¬ chanting profpeft, the utility of its wharfs, and its fubterraneous apartments anfwering a variety of pur- pofes of general benefit. 144 Farther on Hand the ruins of the Savoy. HenryThe S«voy, III. had granted to Peter of Savoy, uncle to his queen Eleanor, daughter of Berrrenger of Provence, all the houfes upon the Thames where this building now ftands, to hold to him and his heirs, yielding yearly at the Exchequer three barbed arrows for all fervices. This prince founded the Savoyr, and bellowed it on the foreign hofpital of Montjoy. Queen Eleanor pur- chafed it, and bellowed it on her fon Edmund earl of Lancaiter. It was rebuilt in a moft magnificent manner byjiis fon Henry. It was made the place of confinement of John king of France in 1356, after he was taken prifoner at the battle of Poitiers. In 1381 it was entirely deftroyed by Wat Tyler, out of fpleen to the great owner John of Gaunt. Henry VII. began to rebuild it, with a defign of forming it into an hofpital for a hundred diftreffed people, and Hen¬ ry VIII. completed the defign. The rever s,jat the fuppreffion by Edward VI. amounted to VfyyvJjfQO 1. a year. Queen Mary reftored it ; and her maids of honour, with exemplary piety, furnilhed it with all ne- ceffaries. It was again fupprefted by Queen Elifabeth ; and at prefent part ferves as lodgings for private peo¬ ple, for barracks, and a fcandalous infeftious prifon for the fokliery and for tranfport-convifts. A little to the eaftward flood Somerfet houft, a Pa"Somerfet- lace built by Somerfet the Proteftor in the time of houfe! Edward VI.; and to make way for which he demoli- fhed a great number of buildings without making ary recompence to the owners. Part of the church of St John of Jerufalem and the Tower were blown up for L 1 2 the LON [ 268 ] LON London, the fake of the materials ; and the cloifters on the north fide of St Paul’s, with the charnel-houfe and chapel, underwent the fame fate ; the tombs being deftroyed, and the bones thrown into Finfbury-fields. This hap¬ pened in 1549 ; but it is probable that he did not live to inhabit the palace he built, as he was executed in the year 1552. After his death the palace fell to the crown ; and it became an occafional place of refidence, firft to Queen Elizabeth, and afterwards to Catherine queen to king Charles II. It was built in a Ityle of architedlure compounded of the Grecian and Gothic; and the back, front, and water-gate, were done from a defign of Inigo Jones, about the year 1623. A chapel was begun the fame year by that architect, and finilhed fome time after. The whole of this llrudlure was demolifhed in 1775, in confequence of an a£t of parliament; and a moil magnificent edifice, from a defign by Sir William Chambers, has been eredled for the accommodation of all the public offices,—thofe of the Treafury, the Secretary of State, the Admi¬ ralty, the War, and the Excife, excepted. The Royal Society, and the Society of Antiquarians, hold their meetings here, in apartments which have been allotted to them by royal munificence ; and here alfo are annually exhibited the works of the Britiih painters and fculptors. The terrace on the fouth fide is a walk bounded by the Thames, and unparalleled for gran- ^ g dear and beauty of view. St Martin’s church of St Martin is diftinguiflied by the and other name of St Martin's in the Fields> from its fituation, churches, which was formerly a field, with only a few fcattered houfes. The church being decayed, was rebuilt by Henry VIII. and again by James I. but not being large enough to accommodate the inhabitants of the parifh, it was augmented in 1607, at the chaige of Trince Henry, eldeft fon of James I. and feveral of the nobility. After many expenfive reparations, how¬ ever, it was entirely taken down in 1720, and a new church began, which was finifhed in 1726. This is an elegant edifice, built of flone. On the weft front is a noble portico of Corinthian columns, fup- porting a pediment, in which are reprefented the royal arms in bas relief. The afcent to the portico is by a flight of very long fteps. The length of this church is about 140 feet, the breadth 60, and height 45. It has a fine arched roof fuftained by ftone columns of the Corinthian order. The fteeple has a beautiful fpire, and one of the beft rings of bells in London. St James's Church was*built in the reign of Charles II. at the expence of Henry earl of St Alban’s, and other neighbouring inhabitants. The building is of brick and ftone, about 85. feet long, 60 broad, and 45 feet high, with a handfome fteeple 150 feet in height. St George's Church, near Hanover-fquare, is a beau¬ tiful ftru&ure. This was one of the fifty new church¬ es ere died within the bills of mortality, by a cl of par- lament, in the reign of Queen Anne. The ground for the edifice was given by the late lieutenant-general Stewart, who alfo left 40001. to the parifh, towards eredling and endowing a charity fchool ; which, by additional benefactions and fubfcriptions, is become ■vcery confiderable. The greater part of the parifh of St Paul's Covent- garden, was anciently a garden, belonging to the ab- London, bot and convent of Weftminfter, and was then called —v—« Convent-garden, a name corrupted into Covent, and more generally Common-garden. In 1552, Edward Garden. VI. gave it to the earl of Bedford, with an adjoining field, formerly called the Seven Acres, but now, being turned into a long ftreet, called Long-acre. The church of St Paul’s, Covent-garden, was built by Jones, and is eftcemed one of the moft fimple and perfedt pieces of architedture in England. In the front i; a plain portico of the Tufcan order, with mafiy columns. Before the church ii a fquare area, containing about three acres of ground, called Covent- garden market, and is the beft in England for herbs, fruit, and flowers. On the north, and part of the eaft fide, is a magnificent piazza, defigned by Inigo Jones. I4g Next to the parifh of St Paul, Covent-garden, is Marf that of St Mary le Strand. This is alfo one of the fifty le Strand, new churches built in the reign of Queen Anne, and^11, is a handfome piece of architedlure, though not very extenfive. At the entrance, on the weft fide, is an afcent by' a flight of fteps, in a circular form, which leads to a fimilarly fhaped portico of Ionic columns, covered with a dome, that is crowned with a vafe. The columns are continued along the body of the church, with pilafters of the fame order at the corners; and in the intercolumniations are niches handfomely ornamented. Over the dome is a pediment fupported by Corinthian columns, which are alfo continued round the body of the ftrudlure, over thofe of the Ionic order. A handfome baluftrade is carried round the top of the church, and adorned with vafes. A little eaftward from the preceding church is that of St Clement's Danes, fituated likevvife in the Strand. A church is faid to have flood in this place fince about the year 700 •, but the prefent ftrudlure was begun in 1680, defigned by Sir Criftopher Wren. It is built of ftone, with two rows of windows, the lower plain, but the upper ornamented ; and the termination is by an attic, the pilafters of which are covered with vafes. On the fouth fide is a portico, covered with a dome,, fupported by Ionic columns ; and oppofite to this is another. The fteeple is beautiful, and of a great height. The church of St George, Bloomfbury, is alfo one of the fifty new churches eredled by adl of parliament. It is diftinguifhed from all the reft by Handing fouth and north, and by the ftatue of King George I. at the top of its pyramidal fteeple. In Lamb’s Conduit-fields, on the north fide of the Foundling, town, is a large and commodious ftrudture called the fl1’1 °thfr Foundling-hofpital, for the reception of expofed and ^ a,s“ deferted children. This laudable charity was. project¬ ed by feveral eminent merchants in the reign of queen Anne ; but was not carried into execution till many years afterwards, when a charter for its eftablifhment was obtained, through the indefatigable afliduity of Mr Thomas Coram, the commander of a merchant vefiel, who fpent the remainder of his life in promoting this defign. From the time of its inftitution, the parliament has occafionally granted confiderable fums lor its fupport; and in fome years upwards of 6000 infants have been received. Not far from hence is an Hofpitalfor the Small-pox; and' LON [ 269 ] LON London, and in different parts of the town there are others, U.—v -- > cither for the lick of all kinds, or thofe in particular circumltances. Of the latter are feveral Lying-in hof- pitahy and the LocLhofpiial for female patients in the venereal difeafe. Of the former are St George's and , j0 the Middlefex hofpitals, belides feveral infirmaries. Gray’s Inn. Gray’s Inn is one of the four principal inns of court; which, though lituated within the limits of the parilh of St Andrew, Holborn, is yet without the liberties of the city of London. It took its name from, an ancient family of the name of Gray, which formerly refided here, and in the reign of Edward III. demifed it to fome lludents in the law ; but it is faid to have been afterwards conveyed to the monks of Shene, near the recommendation of the latter that all penfioners London, and youths are received into the hofpital. They con- * "J. fift of 16, of which number the king is always one, and the others are generally noblemen of the firft rank. To this hofpital belong a mailer, a preacher, two fchoolmafters, a phyfician, a regiller, a receiver, a treafurer, a fteward, an auditor, and other officers; and the annual revenues of it being now increafed to upwards of L. 6000, five men and four boys have been added to the original number. In the parilh of St Luke Hands the Haberdalhers Alkok alms-houfe, or /IJkds Hofpita!, fo called from having Hofpital. been eredted by the company of haberdalhers, purfuant to the will of Robert Alke, Efq; one of their mem- Richmond in Surry, who leafed it to the fociety of bers, who left L. 30,0:0 for the building and the re- Lir.cpLn’s lau. the Inn. It was held by this tenure till the diffolution of the monafteries, when Henry VIII, granted it to the fociety in fee-farm. This inn confills chiefly of two quadrangles, and has an old hall well built of timber, with a chapel in the Gothic ftyle. Here is alfo a good library, and the Inn is accommodated with a fpacious garden, Charter- houfe. lief of 20 poor members of the company ; befides the maintenance and education of 20 boys, ions of decay¬ ed freemen of the fame company. This is a large edifice of brick and Hone, 400 feet long, with a piazza in front 340 feet in length, confiiting of Hone co¬ lumns of the Tufcan order. In the middle of the building is a chapel, adorned with columns, entabla- Lincoln’s-Inn, another of the four principal inns of tures, and pediment, of the Ionic order; and under court, was originally the palace of Ralph Neville bilhop of Chichefter, and chancellor of England about the year 1226. It afterwards devolved to the earl of Lin¬ coln, who converted it into a court for the Undents of law about the year 1310. From him it received the name of Lincoln’s-inn, and conliited only of what is now called the old fquare, which is entered from Chan¬ cery-lane. At prefent this fquare contains, befides buildings for the lawyers, a large hall where the lord chancellor hears caufes in the fittings after term. To this inn belongs likewife a fine garden, which has late¬ ly been diminilhed by the building of fome Large and commodious offices, for the ufe of the fix clerks in the court of Chancery, &c. In the pariffi of St James, Clerkenwell, is an hofpi¬ tal called the Charter-houfe, which is a corruption of the word chartreux, a name formerly ufed for a convent or priory of the Carthufians, which this place for¬ merly was. After the diflblution of monafteries it fell to the earl of Suffolk, who difpofed of it to- Tho¬ mas Sutton, Efq; a citizen of London, in the time of king James I. for L. 13,000. The purchafer intend¬ ing it for an hofpital, applied to the king for a patent, which he obtained in 16n, and the grant was con¬ firmed by parliament in 1623. Mr Sutton having ex¬ pended L.yoOo in fitting up the buildings, gave it the name of king James's hofpital, and endowed it with lands to the amount of near L. 4500 a-year, for the maintenance of 80 gentlemen, merchants of fol- diers, who ffiouldbe reduced to indigent circumftances; and 40 boys, to be inftrudted in claffical learning. The men are provided with handfome apartments, and all the necelfaries of life except clothes ; inftead of which each of them is allowed a gown, and L. 7 a-year. Of the boys, 29 are at a proper time fent to the univer- fity, where each has an allowance of L.20 a-year for eight years. Others, who are judged more fit for trade, are put out apprentices, and the fum of L.40 is given with each of them. As a farther encourage¬ ment to the fcholars, there are nine ecclefiaftical pre- ferments in the gift of the governors. It is alfo by the pediment is a niche, with a ftatue of the founder. In the fame parilh is the Iron-mongers hofpital, like¬ wife a large buildiug. In the parilh of St Mary, Whitechapel, Hands the London Id of pital, for the reception of the lick. It is a large building, and was ereCled a few years fince by voluntary contribution. Here are alfo fome confi- derable alms-houfes. _ r^, Within the precintls of Weftminfter are feveral Houles of ftately houfes belonging to the nobility, fome of which.'he N-bili*- have been already mentioned. Of the others, the ^’ moft remarkakable at prefent are, Burlington-houfe, Devonlhire-houfe, Egremont-houfe, and Bedford-houfe; Carleton-houfe, the magnificent abode of the prince of Wales, and the fuperb refidence erected by the duke of York between the Treafury and the Horfe-guards. To thefe’may be added, Montagu-boufe (now the Br;t^ Britilh Mufeum); which was built on a French plan Muleum, by the firft duke of Montagu, who had been ambaf- fador in France. The ftaircafe and ceilings were paint¬ ed by Rouffeau and La Foffe : the apotheolis of Iris, and the affembly of the gods, are by the laft. It was purchafed of the duke’s heirs by parliament, for uniting together the Royal, Cottonian, Harleian, Sloanian, and other colledtions of books, MSS. coins, antiqui¬ ties, fubjedts in natural hiltory, See. See. for the public, ufe, for which it is excellently adapted. The firft of thefe libraries contains the books and MSS. of our princes from Henry VII. to Charles II. ; the fecond the MSS. colle&ed by Sir Robert Cotton, his fon, and grandfon Sir John, which laft gave it to the public by a and 150,000 dwelling-houfes, containing, as has inhabitants been already obfer.vcd, about 1^000,000 inhabitants; 163 General enumera- O 6 r3 2 o o 5 O' who, according to a moderate eftimate, are fuppofed .London* to confume the following provifions weekly : » f L. x. J. 1 coo Bullocks, at 61. a-piece - 6000 o o 6000 Sheep, at 12 s. a-piece - 3600 o o 200© Calves, at 11. 4s. a-piece - 2400 o o 3000 Lambs, at 8 s. a-piece, for fix months - - 1200 O Q 1500 Hogs in pprlt and bacon, at 20s. for fix months - - , - 1500 o o 2000 Pigs, at 2s. 6d. a-piece - 250 o o 1000 Turkies, at 3 s- 6d. a-piece, for fix months - - - 175 .0 O rood Geefe, at 2 s. 6d. a-piece, for fix months - - - 125 2000 Capons, at is. 8d. a-piece - 166 500 Dozens of Chickens at 9 s. per dozen - - - - 225 4300 Ducks, at 9d. a.piece * - 161 1500 Dozen of rabbits, at 7 s. per do¬ zen, for eight months - 525 o o 2000 Dozen of pigeons, at 2 s. per dozen, for eight months • 200 o Q 700 Dozen of wild-fowl,, of feveral forts, for fix months - - 250 o o in fait and frefli filh, at 1 d. a-day, for half a million of people for one w.eek 14,583 6 8 In bread of all forts, white and brown at id. a-day, for one million of peo¬ ple for a week 300 Tons of wine, of all forts, at 50I. a ton, one fort with another, for one week In milk, butter, cheefe, &c. at id. a- day, for a million of people for < week . _ - In fruit of all forts, at one farthing a- day, for a million of people for a week - In eggs of hens, ducks, geefe, &c. at half a farthing a-day, for a million of people for a week - - 1 3645 164 In beer and ale, ftrong and fmall, at 2 d. a-day, for a million of people for a week - - - - - 58,333 6 8 In fugar, plums, and fpice, and all forts of grocery, at a halfpenny a- day, for a million of people for a week - ... 14,583 6 8 In wheat-flour, for pies and puddings, oatmeal and rice, &c. at half a far¬ thing a-day, for a million of people for a week . - - 3645 16 8 In fait, oil, vinegar, capers, olives, and other fauces, at half a farthing a- day, for. a million of people for a week - - . 3645 16 8 In roots and herbs of all forts, both for: food and phyfic, at half a farthing a-day, for a million of people for a week 3645 11 8* In fea-coal, charcoal, candles, and fire¬ wood, of all forts, at 1 d. a-day, for a million of people for a week 29,166 13 4 Lo- 29,166 13 4 15,000 O o . I.00 Weekly confumpt* of provi- 29,166 13 4 fione. 7291 IJ 4 „ .i67 Firing, porter, 3tc, LON In paper of all forts (a great quantity being ufed in printing) quills, pens, ink, and wax, at a farthing a-day, for amillion of people for a week In tobacco, pipes, and fnuff, at half a farthing a-day, for a million of people for a week - In cloathing, as linen and woollen, for men, women, and children, fhoes, ftockings, &c. at 3 s. 6d. per week, for a million of people for a week - - - Expences for horfe-meat, in hay, oats, beans, 1000 load of hay a-week, at 40 s. a-load, comes to 20001. in oats and beans the like value, 2000I. which is in all, for one week Cyder, mum, brandy, ftrong waters, coffee, chocolate, tea, See. at id. a-day, for a million of people for one week Places of diverfion. Sec. [ 272 1 LON by Antrim on the eaft, from which it is parted hy the Landed river Bann ; by Donegal on the weft; and that county dcri> and the Deucaledonian ocean on the north. Its 'jieji 13 4 greateft length is about 36 miles, its breadth 30, con¬ taining about 251,510 acres. The bogs and heaths of this county are manured with fea-lhells, as thofe 3645 16 8 of Donegal. Like that, too, it is pretty champaign, and not unfruitful. It is particularly noted for a very clear river called the Bann, abounding with falmon, a fiih faid to delight in limpid ftreams. This river, to diftinguilh it from a leffer of the fame name, is called 175>oc® ® O the Greater or Lower Bann. In order to cultivate, fettle, and civilize this county, king James I. granted it, by letters-patent, to a fociety, by the name of the Governor and Ajjijlants at London of the new plantation of Ulfter in the realm of Ireland. It Contains fix ba- 40c® O o ronies ; and, befides the two knights of the (hire, fends to parliament two members for the city of London¬ derry, and two each for Coleraine and Newton-Lima- vady or Lamnevady. 29,166 13 4 Londonderry, or Z)er;y, the capital of the county, The common firing is pit-coal, commonly called and the fee of a bHhop, ftands at the bottom of Lough- fea~coal, of which there are confumed upwards of Foyle. This city has a very good port, to which ihips 766,880 chaldrons every year. The annual confump- of the greateft burden have accefs, and a confiderablc tion of oil in X.ondon and Weftminfter for lamps, a- trade. It will be ever famous for the gallantry and mounts to 400,000!. In 1787-, the quantity of por- perfeverance with which it defended itfelf in three ter brewed in London for hbme-confumption and fo- memorable fieges, in defiance of the greateft hardfhips reign exportation, amounted to 1,176,856 barrels. and difeouragements, namely, ift, In 1641, when the This great and populous city is happily fupplied ' rebels could not reduce it either by fraud or forc». with abundance of frefh water from the Thames and 2dly, In 1649, when it was befieged by the Lord Ardes, the New River ; which is not only of inconceivable and reduced almoft to extremity by famine, till at laft fervice to every family, but by means of fire-plugs relieved by troops fent from England. 3dly, When every where difperfed, the keys of which are depofited it held out againft the French and Irifh from the 7th with the pariih-officers, the city is in a great meafure of December 1688 to the laft day of July 1689, fecured from the fpreading of fire ; for thefe plugs are though it was neither well fortified nor provided with no fooner opened, than there are vaft quantities of wa- a garrifon or ftores of provifion and ammunition, and ter to fupply the engines. This plenty of water has hardly any attempt made to relieve it during fo long a been attended with another advantage, it has given time. Though the city is 20 miles up the river, yet rife to feveral companies, who infure houfes and very large fhips can come up to the quay, where there . goods from fire ; an advantage that is not to be are four or five fathoms of water. It is now well forti- met with in any other nation on earth: the premium fied with a ftrong wall, befides outworks ; and along •is fmall, and the recovery in cafe of lofs is cafy and the banks of the river are feveral caftles and a fort, certain. Every one of thefe offices keep a fet of This city is of no great antiquity, having been built men in pay, who are ready at all hom-s to give their and planted in the reign of James I. by a colony fent affiftance in cafe of fire ; and who are on all occafions by the fociety abovementioned. The trade of the? extremely bold, dexterous, and diligent: but though town is very eonfiderable, having not only a large all their labours fhould prove unfuccefsful, the perfon ihare in the herring-fifliery, but fending ffiips alfo to who fuffers by this devouring element has the com- the Weft-Indies, New-England, and Newfoundland, fort that muft arife from a certainty of being paid for which they are fo advantageoufly fituated, that a the value (upon oath) of what he has infured. veffel bound from thence to America often arrives The places for diverfion are, Vauxhall, Ranelagh- there before a London fhip can get clear of the found- gardens, the two play-houfes, one of them rebuilding, ings, or arrive in the latitude of Londonderry. Tho’ the Pantheon lately burnt down ; and the little theatre there are a great many fhallows in Lough-Foyle, in the Hay-market, with Sadlers-wells, Hughes’s Cir- which ferve it inftead of a road; yet they are eafily cus, and Aftley’s Royal-Grove, &c. The fineft repo- avoided, as there are deep channels between them, fitories of rarities and natural hiftory, are Sir Hans Thofe points called Enitftone, RuJhrhuU, or Caldy-head, Sloane’s, in the Britifh Mufeum, already deferibed ; which lie a little to the weft of the mouth of the har- and another colle&edby the late Sir Affiton Lever, now hour, are counted the moft northerly of Ireland, lying the private property of Mr Parkinfon, and depofited in in lat. 55. 20. The inhabitants of this city are al- proper apartments for public infpettion, near the fouth moft all Proteftants. It gave title of earl and baron end of Blackfriars bridge. to a branch of the family of Pitt, which became ex- LONDONDERRY, or Colerain, a county of tin£l in 1764; but part of the title was revived in Ireland, in the province of Ulfter. It is bounded on Robert Stewart, who was created Baron Londonder- the fouth and fouth-weft by the county of Tyronne ; ry in 1789. A late traveller fays, “ Derry is, per- 'N°i87. 6 haps. LON l 273 ] LON - Long, haps, the cleaneft, beft built, and moft beautifully fitu- ated town in Ireland ; and, excepting Corke, as con¬ venient as any for commerce, foreign and domeftic.” The lake almoft furrounds it; and the whole ground- plot both of it and its liberties belongs to the i? great companies of London. Great quantities of falmon, failed and barrelled, are exported from hence to Ame¬ rica. LONG, an epithet given to whatever exceeds the .ufual ftandard of length. ,LoNG-Boat,- the largeft and ftrongeft boat be¬ longing to any ihip. It is principally employed to carry great burdens, as anchors, cables, ballait, &c. See Boat. LONG (Roger), D. D. mailer of Pembroke-hall in Cambridge, Lowndes's profeflbr of aftronomy in that univerfity, rector of Cherryhinton in Huntingdonlhire, and of BradwellyWa mare in Elfex, was author of a Nvell-known and much approved treatife of aftronomy, and the inventor of a remarkably curious aftronomical machine, thus defcribed by himfelf. “ 1 have, in a room lately built in Pembroke-hall, eredted a fphere of 18 feet diameter, wherein above 30 perfons may fit conveniently ; the entrance into it is over the fouth pole by fix fteps ; the frame of the fphere confifts of a num¬ ber of iron meridians, not complete femicircles, the northern ends of which are fcrewed to a large round plate of brafs, with.an hole in the centre of it; thro’ this hole, from a beam in the cieling, comes the north pole, a round iron rod, about three inches long, and fupports the upper parts of the fphere to its proper elevation for the latitude of Cambridge; the lower part of the fphere, fo much of it as is invifible in Eng¬ land, is cut off; and the lower or fouthern ends of the meridians, or truncated femicircles, terminate on, and are fcrewed down to, a ftrong circle of oak, of about 13 feet diameter; which, when the fphere is put into motion, runs upon large rollers of lignum vitas, in the manner that the tops of fome windmills are made to turn round. Upon the iron meridians is fix¬ ed a zodiac of tin painted blue, whereon the ecliptic and heliocentric orbits of the planets are drawn, and the conftellationsand ftarstraced: the Great and Little Bear and Draco are already painted in their places round the north pole ; the reft of the conftellations are propofed to follow: the whole is turned round with a fmall winch, with as little labour as it takes to wind up a jack, though the weight of the iron, tin, and wooden circle, is about 1000 pounds. When it is made ufe of, a planetarium will be placed in the middle thereof. The whole, with the floor, is well fupported by a frame of large timber.” Thus far Dr Long, before this curious piece of mechanifm was perfected. Since the above was written, the fphere has been com¬ pletely finifhed; all the conftellations and ftars of the northern hemifphere, vifible at Cambridge, are paint¬ ed in their proper places upon plates of iron joined ' together, which form one concave furface. Dr Long publiflied a Commencement Sermon 1728 ; and an an- fwer to Dr Galley’s pamphlet on Greek Accents ; and died December 16th 1770, at the age of 91. As the materialsfor this article are fcanty,we ftiall fubjoin, from t For 1783,^ Gentleman’s Magazine f, a few traits of him, as p.pSj. defineated in 1769 by Mr Jones. “ He is now in the 88th year of his age, and for his years vegcte and Vot.X. Parti. a&ive. He was lately (in Odlober) put in nomina-Longevity'. tion for the office of vice-chancellor. He executed ~w that truft once before, I think in the year 1737 ; a very ingenious perfon, and fometimes very facetious. At the public commencement in the year 1713, Dr Greene (mafter of Bcnnet college, and afterwards bi« (hop of Ely' being then vice chancellor, Mr Long was pitched upon for the tripos-performance ; it Was witty and humorous, and has paffed through divers editions. Some that remembered the delivery of it, told me, that in addreffing the vice-chancellor (whom the univerfity wags ufually ftyled Mi/s Greene), the tripos-orator, being a native of Norfolk, and affuming the Norfolk dialed, inftead of faying, Dominc Vice- Cancellarie, did very archly pronounce the words thus. Homing. Vice-Cancellarm; which occafioned a general fmile in that great auditory. His friend the late Mr Bonfoy of Ripton told me this little incident, ‘ That he and Dr Long walking together in Cambridge in a dulky evening, and coming to a fhort pqjl fixed in the pavement, which Mr B. in the midft of chat and inat¬ tention, took to be a boy Handing in his way, he faid in a hurry, 4 Get out of my way, boy.’ 4 That boy. Sir,' faid the Dodor very calmly and flily, is a poft- boy, who turns out of his way for nobody.'—I could re¬ coiled feveral other ingenious repartees if there were oc- cafion. One thing is remarkable, he never was ahale and hearty man, always of a tender and delicate conftitu- tion, yet took great care of it. His common drink water; he always'dines with the fellows in the hall. Of late years he has left off eating fleili-meats^ in the room thereof, puddings, vegetables, &c. fometimes a glafs or two of wine.” LONGEVITY, length of life. From the different longevities of men in the begin¬ ning of the world, after the flood, and in thefe age% Mr Derham draws an argument for the interpofition of a divine Providence. Immediately after the creation, when the world was to be peopled by one man and one woman, the ordi¬ nary age was 900 and upwards.—Immediately after the flood, when there were three perfons to ftock -the world, their age was cut ftiorter, and none of thoi'e patriarchs, but Shem, arrived at 500. In the fecond century we find none that reached 240 : in the third, none but Terah that came to 2co years; the world, at leaft a part of it, by that time being fo well peopled, that they had built cities, and were canton¬ ed out into diftant nations.—By degrees, as the number of people increafed, their longevity dwindled, till it came down at length to 70 or 80 years: and there it flood, and has continued to ftand ever fince the time of Mofies.—This Is found a good medium, and by means hereof the world is neither overftocked, nor kept too thin ; but fife and death keep a pretty' equal pace. That the common duration of man’s life has been the fame in all ages fince the above period, is plain both from facred and profane hiftqry. To pafs by others, Plato lived to 81, and was accounted an old man ; and the inftances of longevity produced by Pliny L. vii. c. 48. as very extraordinary, may moft of them be matched in modern hiftories.—-In the following Tables are collected into one point of view the moft memorable inftances of long-lived perfqna of whofg age M m we LON t *74. 1 LON longevity. We have any authentic records. The fir ft and fecond gill; who inferted them, accompanied by a third* toge-L-mgevi'y.* r » ' ■ ax-e extracted from Mr Whitehurjl's Inquiry into the Origin ther with a number of ufeful obfervations, in the firft vo- ——v—«* gndStrata sf the Earth, with feme additionsbyDrFother- lumeofthe Memoirs of the Manchcfler Literary Society. Names of the perfons. Ages Thomas Parre Henry Jenkins Robert Montgomery James Sands His Wife Countefs of Defmond -Eclefton J. Sagar —Laurence •Simon Sack Col. Thomas Winflow Francis Confift Chrift. J. Drakenberg Margaret. Forfter 'her daughter Francis Eons John Brookey James Bowels John Tice John Mount A. Goldfmith Mary Yates John Bales William Ellis Louifa Truxo, a Negrefs Margaret Patten Janet Taylor Richard Lloyd Sufannah Hilliar Ann Cockbolt James Hayley Places of Abode. William Walker, aged x Shropfhix-e Yorkfhire Ditto Staffordfhire Ditto Ireland Ditto Lancafhire Scotland Trionia Ireland Yorkfhire Norway Cumberland Ditto France Devonfhire Killingworth Worceiterfhire Scotland France Shropfhire Northampton Liverpool Tucomea, S. America Lockneugh near Paifley Fintray, Scotland Montgomery Piddington, Northampfh. Stoke-Bruerne, lb. Middlewich, Cheflxire 12, not mentioned above, battle of Edge-hill. Living or Dead. Died November 16. 1635. Phil. Tranf. NJ 44. Died December 8. 1670. Phil. Tranf. N^ 221. Died in — — 1670. ) Do Fuller’s Worthies 5 P- 47- Raleigh’s Hifl. p. 166. Died — — 1691. (a) — — 1668. (b) Living — — (t) Died May 30. 1764. Aug. 26. 1766. Jan. — 1768. June 24. 1770. (d) ^ Both living Died Feb. 6. 1771, Living Died 1769. I777* (e) Aug. 15. 1656 (f) March, 1774.(0) Feb. 27. 1766. (h) June — 1776.(1) 1776.(k) April 5. 1766.(1.) Aug. 16. 1780. (m) Living O&. 5. 1780. (n) Lynche’s Guide to Health Died Oft. 10. 1780. Lynche’s Guide to Health Died Feb. 19. 1781 (o) I" April 5. 1775 (p) I March 17. 1781 (qJ who was a foldier at the If we look back to an early period of the Chriftian mra, we fhall find that Italy has been, at lead about: that time, peculiarly propitious to longevity. Lord Bacon obferves that the year of our Lord 76, in the In Parma reign of Vefpafian, was memorable ; for in that year was a taxing which afforded the moft authentic method" In Bruffels of knowing the ages of men. From it, there were In Placentia found in that part of Italy lying between.the Apennine In Faventia mountains and the river Po 124 perfons who either equalled or exceeded 1 co years of age, namely : 54 perfons of 100 Years.each.. In Rimino 57 - - 110 2 - - 125 4 perfons of 130 Years. 136 140 120 130 125 131 132 no 120. 150 Years, viz, Marcus Aponiu.v Mr (a) Fuller’s Worthies, p. 140; (b) Phil. Tranf. abridged by Lowthorp, VoL III. p. 30, 6. c) Derham’s Phyfico-Theology, p. 173. d) Annual Regifier. (e) Daily Advertifer, Nov. 18, 1777. (f) Warwickfhire. (g) Daily Advertifer, March 1774; (h Morning Poll, Feb. 29. 1776. (1) Daily Adyertifer, June 24. 1776^ (k) Daily Advertifer, Aug. 22. 1776. ( l ) See Infcription in the portico of All-Saints churchi (m) London Even. Poll, Aug. 22. 1780., (n) London Chronicle, Oft. 5. 1780. (o) Northamp. Mercury, Feb. 19. 1781. (p i Well known to, perfens of credit of. North¬ ampton. (qJ Gen. Evening Poll, March 24- 1781. LON C 275 j LON &M9gevitj'. Mr Carew, in his furvey of Cornwall, allures us, ly prevails more in certain diftrifts than in others, yet Longevity that it is no unufual thing with the inhabitants of that -it is by no means confined to any particular nation or ''-"'v-”*' County to reach go years of age and upwards, and climate ; nor arc there wanting inftances of it, in al- even to retain their ilrength of body and perfect ufe moft every quarter of the globe, as appears from the of their fenfes. Befides Brown, the Cornilh beggar, preceding as well as the fubfequerit Tables ; which who lived to 120, and one Po’ezew to 130 years of might have been confiderably enlarged, had it appear • age, he remembered the deceafe of fbur perfons in his ed necefiary ; but we have only added, in the laft, own parifh, the fum of whofe years, taken collectively, three recent inllances that are peculiarly remark* amounted to 340. Now, although longevity evident- able. Names of the Perfons. Hippocrates, Phyfician Democritus, Philofopher Galen, Phyfician Albuna, Marc J Dumitur Raduly Titus Fullonius Abraham Paiba L. Tertulla Lewis Gornaro Robert Blakeney, Efq. Margaret Scott W. Gulftone J. Bright William Poltell j Jane Reeves W. Paulet, Marquis of Winchefter | John Wilfon j Patrick Wian | M. Laurence Evan Williams John Jacobs (r) Matthew Tait(s) Donald Macleod (r ) Places of Abode. Ifiand of Cos Abdera PergamuS Ethiopia Haromfzeck, Tranfyl- vania Bononia Charleftown, South-Car. Arminium Venice Armagh, Ireland Dalkeith, Scotland Ireland Ludlow France Effex Hampfliirfi Suffolk Lefbury, Northumberd. Orcades Caermarthen work-houfe, Hill alive Mount Jura Auchinleck, Airfhire. Ifle of Sky. Alive Jan. T792- Where recorded. Lynche on Health, chap. 3. Bacon’s Hiftory, 1095. Voff. Inft. or lib. 3. Hakewell’s Ap. lib. 1. Died Jan. id, 1782. Gen. Gazetteer, April i 8th. Fulgofus, lib. 8. General Gazetteer Bulgofus lib. 8. Bacon’s Hill, of Life, p. 1341 General Gazetteer. Infcrip. on her Tomb there. Fuller’s Worthies. Lynche on Health. Bacori’s Hiftory, p. 134. StJ. Chron. June 14, 1781. Baker’s Chron. p. 502. Gen. Gaz. 0 &c. Mm2 (r) This man, in 1789, at the age of 120, quitted his native hills, and from the fmtimit of Mount Jura under¬ took a journey toVerfailles, to behold and return thanks to the National Affembly for the vote which had freed him and his poor countrymen from the feudal yoke. In the early part of his life, he was a fervant in the family of the prince de Beaufremont. His memory continued good to the laft; day of his life ; and the principal in¬ conveniences which he felt from his great age were, that his fight was weakened, and the natural heat of hi* body was fo diminifhed, that he fhivered with cold in the middle of the dog-days if he was not fitting by a good fire. This old man was received in the body of the houfe by the National Affembly, indulged with a chair, and direfted to keep on his hat left he fhould catch cold if he was to fit uncovered. A colle&ioa was made for him by, the members, which exceeded 5 col. Sterling ; but he lived not to return to Mount Jura. He was buried on Saturday the 31ft of January 1790, with great funeral pomp, in the parilh-church of St Euftace at Paris. ( s) He ferved as a private at the taking of Gibraltai* in 1704. (t) Memoirs of the Life and gallant Exploits of the Old Highlander Sef'jeant Donald Macleod, See. publifhed Jan. 1791, in the 103d year of his age.—This old gentleman, for it appears that he really is a gentleman both by birth and by behaviour, was born in the year of the Revolution, in the parifh of Bracadill, in the ifle of Sky and county of Invernefs, North Britain. He is a cadet of the family of Ulinifh in Sky; and defeended* through his mother, from Macdonald 6f Slate, the anceftor of the prefent Lord Macdonald. The earlier part of his life coincided with the famine of feven years in Scotland; which was fo great as to fuggeft, even to the patriotic Mr Fletcher, the idea of the people felling themfelves as flaves for immediate fubfiftence. He was bred in the midft of want and hardfhips, cold, hunger, and for the years of his apprenticefhip with a Miafon and ftone-cutter in Invernefs, in inceflant fatigue. He inlifted, when a boy, in the Scottifh feryice, in the town of Perth, in the laft year of the reign of King William. The regiment into which he enlifted 2 was LON [ 276 ] LON Longevity. The Antediluvians are purpofely omitted, as bearing too little reference to the prefent race of mortals, to af¬ ford any fatisfaftory conclufions; and as they have been already taken notice of in a feparate article ; (fee An¬ tediluvians). As the improbable ftories of fome perfons who have almoft rivalled them in modern times, border too much upon the marvellous to find a place in thefe tables, the prefent examples are a- bundantly fufficient to prove, that longevity does not depend, fo much as has been fuppofed, on any parti- ticular climate, frtuation, or occupation in life : for we fee, that it often prevails in places where all thefe are extremely diflimilar; and it would, moreover, be very difficult, in the hillories of the feveral perfons above mentioned, to find any circumftance common to them all, except, perhaps, that of being born of heal¬ thy parents, and of being inured to daily labour, tem¬ perance, and fimplicity of diet. Among the inferior ranks of mankind, therefore, rather than among the fons of eafe and luxury, (hall we find the moft nume¬ rous inflances of longevity; even frequently, when other external circumltances feem extremely unfavour¬ able : as in the cafe of the poor fexton at Peterbo¬ rough, who, notwithftanding his unpromifing occupa¬ tion among dead bodies, lived long enough to bury two crowned heads, and to furvive two complete genera¬ tions. The livelihood of Henry Jenkins and old Parre, is faid to have confifted chiefly of the coarfeft fare, as they depended on precarious alms. To which may be added the remarkable inftance of Agnes Mil- bourne, who, after bringing forth a numerous off- fpring, and being obliged, through extreme indigence, to pafs the latter part of her life in St Luke’s work- houfe, yet reached her 106th year in that fordid and unfriendly fituation. The plain diet and invigorating employments of a country life are acknowledged on all hands to be highly conducive to health and longe¬ vity, while the luxury and refinements of large cities are allowed to be equally deftru&ive to the human fpe- eies; and this confideration alone, perhaps, more than counterbalances all the boafted privileges of fuperier Longevity, elegance and civilization refulting from a city life. y ■—'«> From country villages, and not from crowded ci¬ ties, have the preceding inftances of longevity been chiefly fupplied. Accordingly it appears, from the London bills of mortality, during a period of 30 years, viz. from the year 1728 to 1758, the fum of the deaths amounted to 750,322, and that, in all this prodigious number, only 242 perfons furvived the icoth year of their age! This overgrown metro¬ polis is computed by Dr Price to contain a ninth part of the inhabitants of England, and to con- fume annually 7000 perfons, who remove into it from the country every year, without increafing it. He moreover obferves, that the number of inhabitants in England and Wales has diminifhed about one-fourth part fince the Revolution ; and fo rapidly of late, tlrat in 1 r years, near 200,000 of our common people have been loft. If the calculation be juft, however alarming it may appear in a national view, there is this confolation, when confidered in a philofophical light, that without partial evil, there can be no gene¬ ral good; and that what a nation lofes in the fcale of population at one period, it gains at another; and thus probably, the average number of inhabitants on the furface of the globe continues at all times nearly the fame. By this medium, the world is neither over- ftocked with inhabitants nor kept too thin, but life and death keep a tolerably equal pace. The inhabi¬ tants of this illand, comparatively (peaking, are but as the dull of the balance ; yet inftead of being diminifh- ed, we are affured by other writers, that within thefe 30 yeans they are greatly increafed. The defire of felf-prefervation, and of protrafting the (hort fpan of life, is fo intimately interwoven with our conftitution, that it is juftly efteemed one of the firft principles of our nature, and, in fpite even of pain and mifery, feldom quits us to the laft moments of our exiftence. It feems, therefore, to be no lefs our duty than our intereft, to examine minutely into the various was the Scots Royals, commanded by the earl of Orkney. That old military corps, at that time, ufed bows and arrows as well as (words, and wore fteel caps. He ferved in Germany and Flanders under the duke of Marlborough, under the duke of Argyle in the rebellion 1715, in the Highland Watch, or companies railed for enforcing the laws in the Highlands; in the fame companies when, under the name of the qad regiment, they were fent abroad to Flanders, to join the army under the duke of Cumberland ; in the fame regiment in Ireland, and on the breaking out of the French war, 1757, in America. From the 42ft he was draughted to aft as- a.drill ferjeant in the 78th regiment, in which he ferved at the reduftion of Louifburg.and Quebec: After this he became an out-penfioner of Chelfea Hofpital. But fuch was the fpirit of this brave and hardy ve¬ teran, that he ferved in 1761 as a volunteer in Germany under the marquis of Granby ; and offered his ' fervices in the American war to Sir Henry Clinton; who, though he declined to employ the old man in the fatigues and dangers of war, treated him with great kindnefs, allowed him a liberal weekly penfion out of his ©wn pocket, and fent him home in a (hip charged with difpatches to government.—The ferjeant, “ as his memory, according to the obfervation of his biographer, is impaired, does not pretend to make an exaft enumeration of all his offspring: but he knows of 16 fons now living, 14 of whom are in the army and navy, befides daughters; the eldeft of whom by his prefent wife is a mantuamaker in Newcaftle.—His eldeft fon is now 83 years old, and the youngeft only nine. Nor, in all probability, would this lad clofe the rear of his immediate progeny, if his prefent wife, the boy’s mother, had not attained to the 49th year of her age.’* ■—In his prime, he did not exceed five feet and feven inches. He is now inclined through age to five feet five inches. He has an interefting phyfiognomy expreffive of fincerity, fenfibility, and manly courage. His . "biographer very properly fubmits it to the confideration of the Polygraphic Society, whether they might not do a thing worthy of themfelves and their ingenious art, if they (hould multiply likneffes of this living antiquity, and circulate them at an eafy rate throughout Britain and Europe. They would thus gratify a very general curiofity; a curiofity cot confined to the prefent age. LON [5 Longevity various means that have been confidered a4 conducive to health and long life ; and, if poffible, to diftinguifh fuch circumftances as are effential to that great end from thofe which are merely accidental. But here it is much to he regretted, that an accurate hiftory of the lives of all the remarkable perfons in the above table, fo far as relates to the diet, regimen, and the ufe of the non-naturals, has not been faithfully handed down to us ; without which it is impoffible to draw the neceflary inferences. Is it not then a matter of aftonifliment, that hiftorians and philofophers have hi¬ therto paid fo little-attention to longevity ? If the pre- fent imperfect lilt Ihould excite others, of more leifure and better abilities, to undertake a full inveftigation of fo interelling a fubjeit, the inquiry might prOve not only curious but highly ufeful to mankind. In or¬ der to furnilh materials for a future hiftory of longe¬ vity, the bills of mortality throughput the kingdom ought firft to be revifed, and put on a better footing, agreeable to the fcheme of which Manchefter and Che- fter have already given a fpecimen highly worthy of imitation. The plan, however, might be further im¬ proved with very little trouble, by adding a particular account of the diet and regimen of every perfon who dies at 80 years of age or upwards; and mention¬ ing whether his parents were healthy, long-lived peo¬ ple, &c. An accurate regifter, thus eftablilhed throughout the Britilh dominions, would be produc¬ tive of many'important advantages to fociety, not only in a medical and philofophical, but alfo in a po¬ litical and moral view. All the circumftances that are moft effentially ne- ceflary to life, may be compromifed under the fix fol¬ lowing heads: i. Air and climate; 2. Meat and drink; 3. Motion and reft; 4. The fecretions and excretions; 5. Sleep and watching; 6. Affections of the mind. Thefe, though all perfectly natural to the conftitu- tion, have by writers been ftyled the non-naturals, by a ftrange perverfion of language; and have been all copioufly handled under that improper term. How¬ ever, it may not be amifs to offer a few ftiort obferva- tions on each, as they are fo immediately connected with the prefent fubjeCt. 1. dir, &c. It has long been known that frefh air is more immediately neceflary to life than food ; for a man may live two or three days without the latter, but not many minutes without the former. The vivifying principle contained in the atmofphere, fo efiential to the fupport of flame, as well'as animal life, concern¬ ing which authors have propofed fo many conjectures, appears now to be nothing elfe but that pure dephlo- gifticated fluid lately difeovered by that ingenious phi- lofopher Dr Prieftley. The common atmofphere may well be fuppofed to be more or lefs healthy in propor¬ tion as it abounds with this animating principle. As this exhales in copious ftreams from the green leaves of all kinds of vegetables, even from thofe of the moft: poifonous kind, may we not, in feme meafure, ac¬ count why inftances of longevity are fo much more frequent in the country than in large cities ; where the air, in dead of partaking fo largely of, this falutary im¬ pregnation, is daily contaminated with noxious animal effluvia and phlogifton ? With refpeCt to climate, various obfervations con- fpire to prove, that thofe regions which lie within the 3 77 ] L o n temperate zones are beft calculated to promote long Longevity, life. Hence, perhaps, may be explained, why Italy has produced fo many long livers, and why iflands in general are more falutary than continents; of which Bermudas and fome others afford examples. And it is a pleafing circumftance that our own ifland ap¬ pears from the above table (notwithftanding the hid¬ den vieiflitudes to which it is liable) to contain far more inftances of longevity than could well be imagi¬ ned. 1 The ingenious Mr Whitehurft affures us, from certain facts, that Englilhmen are in general longer lived than North Americans; and that a Britilh con- ftitution will laft longer, even in that climate, than a native one. But it muft be allowed in general, that the human conftitution is adapted to the peculiar ftate and temperature of each refpedtive climate, fo that n® part of the habitable globe can be pronounced too hot or too cold for its inhabitants. Yet, in order to pro¬ mote a friendly intercourfe between the moft remote regions, the Author of nature has wifely enabled the inhabitants to endure great and furprifing changes of temperature with impunity. 2. Foods and drink. Though foods and drink of the moft Ample kinds are allowed to be the beft cal¬ culated for fupporting the body in health, yet it can hardly be doubted but variety may be fafely indulged occafionally, provided men would reftrain their appe¬ tites within the bounds of temperance ; for bounti¬ ful Nature cannot be fuppofed to have poured forth fuch a rich profulion of provifions, merely to tantalize the human fpecies, without attributing to her the part of a cruel ftep-dame, inftead of that of the kind and indulgent parent. Befides, we find, that by the won¬ derful powers of the digeftive organs, a variety of ani¬ mal and vegetable fubftances, of very difeordant prin¬ ciples, are happily afllmilated into one bland homoge¬ neous chyle ; therefore it feems natural to diftruft thofe cynical writers, who would rigidly confine mankind to one Ample difli, and their drink to the mere water of the brook. Nature, it is true, has pointed out that mild infipid fluid as the univerfal diluent, and therefore moft admirably adapted for our daily beverage. But expe¬ rience has equally proved, that vinous and fpirituous liquors, on certain occafions, are no lefs falutary and beneficial, whether it be to fupport ftfength againft' ficknefs or bodily fatigue, or to exhilerate the mind’ under the preffure of heavy misfortunes. But, alas S what Nature meant for innocent and ufeful cordials, to be ufed only occafionally, and according to the di¬ rection of reafon, cuftom and caprice have, by degrees, rendered habitual to the human* frame, and liable to the moft'enormous and deftru&fve abufes. Hence it. may be juftly doubted,. whether gluttony and intem¬ perance have not depopulated the world more than even the fword, peftilence, and famine. True, there¬ fore, is. the old maxim, “ Modus utendi ex veneno facit medicamentum, ex medicamento venerium.’* 3; and 4. Motion and ref, Jlcep and watching It is allowed on all hands, that alternate motion and reft, and fleep and watching, are neceffary conditions to health and longevity ; and that they ought to be adapt¬ ed to age, temperament; conftitution, temperature of the climate, &c.; but the errors which mankind daily commit in thefe refpe&s become a fruitful fource of ‘ difeafts. While fome are bloated and relaxed with cafe. ION [ 278 1 LON Siowevity, Cafe and indolence, others are emaciated, and become Lontrfo it, through hard labour, watching, and fatigue 5. Secretions and excretions. Where the animal funftions are duly performed, the fecretions go on re¬ gularly ; and the different evacuations fo exactly cor- refpoqd to the quantity of aliment taken in, in a given time, that the body is found to return daily to nearly the fame weight. If any particular evacuation happen to be preternaturally diminifhed, fome other evacua¬ tion is proportionally augmented, and the equilibrium is commonly preferved ; but continued irregularities, in thefe important fun&ions, cannot but terminate in difeafe. 6. AffeBions of the mind. The due regulation pf 'the pafiions, perhaps, contributes more to health and 'longevity than that of any other of the non-naturals. The animating pafiions, fuch as joy, hope, love, &c. when kept within proper bounds, gently excite the • nervous influence, promote an equable circulation, and are highly conducive to health ; vvlxile the depreffing affections, fuch as fear, grief, and defpair, produce the -contrary effeft, and lay the foundation of the moft foi- midable difeafes. From the light which hiftory affords us, as well as From fome initances in the above table, there is great meafon to believe, that longevity is in a great meafure -hereditary ; and that healthy long-lived parents would commonly tranfmit the fame to their children, were it }not for the frequent errors in the non-naturals, which fo evidently tend to the abbreviation of human life. Where is it, but from thefe caufes, and the unnatu- -ral modes of living, that, of all the children which are -born in the capital cities of Europe, nearly one half tdie in early infancy ? To what elfe can we attribute 4his extraordinary mortality l Such an amazing pro¬ portion of premature deaths is a circumftance unheard of among favage nations, or among the young of other animals! In the earlieft ages, we are informed, that -human life was protrafted to a very extraordinary length ; yet how few perfons, in thefe latter times, arrive at that period which nature feems to have de- figned! Man is by nature a field-animal, and feems. de- ftined to rife with the fun, and to fpend a large por¬ tion of his time in the open air, to ihure his body to robuft exercifes and the inclemency of the feafons, and to make a plain homely repaff only when hunger diftates. But art has ftudioufly defeated the kind intentions of nature ; and by enflaving him to all the blandifhments of fenfe, has left him, alas ! an eafy vic¬ tim to folly and caprice. To enumerate the various abufes which take place from the earlieft infancy, and which are continued through the fucqeeding ftages of tnodifh life, would carry us far beyond our prefent intention. Suffice it to obferve, that they prevail more particularly among people who are the moft highly polifiled and refined. To compare their artificial mode of life with that of nature, or even with the long-livers in the lift, would probably afford a very ftriking contrail; and at the fame time fupply an ad¬ ditional reafon why, in the very large cities, inftances of longevity are fo very rare. LONGFORD, a county of Ireland, in the pro- •vince of Leinfter, bounded by the county of Leitrim fend Caven on the north, Meath on the call and fouth, and Rolcommon on the weft. It contains 134,700 Irifh plantation acres, 24 parifhes, 6 baronies, and 4 Longford boroughs ; and returns 10 members to parliament. It jl la fmall, and. much encumbered with bog, Intermixed on^ n^*. with a tolerable good foil j and is about 25 miles long and i5 broad. Longford, a town of Ireland, fituated on the ri¬ ver Cromlin, in the county of Longford and province of Leinfter, 64 miles from Dublin ; which river falls fe few miles below this place into the Shannon. It is % borough, poft, market, and fair town ; and returns two members to parliament; patron, Lord Longford. It gave title of earl to the family of Aungier; of vif- couut, to the family of Micklethwaite ; and now gives that of baron to the family of Packenham. Within a mile and a half of the town is a charter-fchool for above 40 children. This place has a barrack for a troop of horfe. It is large and well built; and in a very early age an abbey was founded here, of which, St Idus,. one of St Patrick’s difciples, was abbot. In the year 1400, a fine monaftery was founded to the honour of the Virgin Mary, for Dominican friars, by 0‘Ferral princC of Annaly. This monaftery being de- ftroyed by fire. Pope Martin V. by a bull in the year 1429, granted an indulgence to all who ffiould contri¬ bute to the rebuilding of it. In 1433, Pope Eu¬ gene IV. granted a bull to the fame pilrpofe ; and in 1438 he granted another to the like effeft. The church of this friary, now the pariffi-church, is in the diocefe of Ardagh. The fairs are four in the yean LONG-jsland, Is an ifland of North America, belonging to the ttate of New-York, which is fepara- ted from the continent by a narrow channel. It ex¬ tends from the city of New-York eaft 140 miles, ter¬ minating with Montauk point; and is not more than 10 miles in breadth on a medium. It is divided into three counties. King’s, Queen’s, and Suffolk. The fouth fide of the ifland is flat land, of a light fandy foil, bordered on the fea-coaft with large trails of fait, meadow, extending from the weft point of the ifland to Southampton. This foil, however, is well calcu¬ lated for railing grain, efpecially Indian corn. The north fide of the ifland is hilly, and of a ftrong foil, adapted to the culture of grain, hay, and fruit. A ridge of hills extends from Jamaica to South-hold. Large herds of cattle feed upon Hampftead plain and on the fait marlhes upon the fouth fide of the ifland. Hampftead plain in Queen’s county is a curiofity. It is 16 miles in length, eaft and weft, and 7 or 8 miles wide. The foil is black, and to appearance rich and yet it was never known to have any natural growth* but a kind of wild grafs and a few Ihrubs. It is fre¬ quented by vaft numbers of plover. Rye grows tole¬ rably well on fome parts of the plain. The moft of it lies common for cattle, horfes, and flieep. As there is nothing to impede the profpedl in the whole length of this plain, it has a curious but tirefome «ffe who, as Pope exprefles it—“ is himfelf the great fa-Longltude^ blime he draws.” The belt edition of his works is ’ - that by Tollius, printed at Utrecht in 1694, cum notis •variorum. It has been tranilated into Engliih by Mr Smith. LONGISSIMUS dorsi. See Anatomy, Tails of the Mufcles. LONGITUDE, in geography and navigation, is- the dittance of any place from another eaft:ward or weft- ward, counted in degrees upon the equator ; but when the diftance is reckoned by leagues or miles and not in degrees, or in degrees on the meridian, and not of the parallel of latitude, in which cafe it include*- both latitude and longitude, it is called departure. To find the longitude at fea, is a problem to which the attention of navigators and mathematicians has been drawn ever fince. navigation began to be impro¬ ved.—The importance of this problem foon became fo - well known, that, in 1598, Philip III. of Spain of¬ fered a reward of 1000 crowns for the folution ; and his example was foon followed by the States General, who offered io,oqo florins. In 1714 an act was paf- fed in the Britifh parliament, impowering certain com* miflioners to make out a bill for a fum not exceeding 20001. for defraying the neceflary expences of expe¬ riments for afcertaining this point; and likewife grant¬ ing a reward to the perfon who made any progrefs in the folution, proportionable to the degree of accuracy with which the folution was performed : ID,0001. was granted if the longitude fhould be determined to one degree of a great circle, or 60 geographical miles; 15,000 if to two thirds of that diftance j and 20,000 if to the half the diftance. In confequence of thefe proffered rewards, innume¬ rable attempts were made to dlfcover this important fecret. The firft was that of John Morin profeffor of- mathematics at Paris, who propofed it. to Cardinal Richelieu.; and though it was. judged infuffieient on account of the imperfedtion of the lunar tables, a pen- fion of 2QOO livres per annum was procured for him in 1645 by Cardinal Mazarine, Gemma Frifius had indeed, in 1530, projedled a method of finding the lon¬ gitude by means of watches, which at that time were newly invented: but the ftru&ure of thefe machines was then by far too imperfecft to admit of any at¬ tempt ; nor even in 1631, when Metiys made an .at¬ tempt to this purpofe, were they advanced in any cou- fiderable degree. About the year 1664, Dr Hooke and Mr Huygens made a very great improvement in watchmaking, by the application of the pendulum fpriiig. Dr Hooke having quarreiled with the miniftry, no experiment was made with any of his machines; but many were made with thofe ofMr Huygens.- One exp: • rfment, particularly, made by Major Holmes, in a voy¬ age from the Coaft of Guinea in 1665, anfwered fo well, that Mr Huygens was encouraged to improve the ftrudhire of his watches; : but it was found that the variations of heat and cold produced fuch altera¬ tions in the rate of going, of the watch, that unlefs tluV could be remedied, the watches could be of little ufe in determining the longitude. In 1714 Henry Sully, an Englifhman, printed 3 fmall tfaft at Vienna upon the fubjeft of watch¬ making, , LON [ 280 ] LON ■Longitude, making. Having afterwards removed to Paris, ,he ap- plied himfelf to the improvement of time-keepers for the difeovery of the longitude. He taught the fa¬ mous Julian de Roy; and this gentleman, with his fon, and M. Berthottd, are the only perfons who, fince the days of Sully, have turned their thoughts this way. But though experiments have been made at fea with fome of their watches, it does not appear that they have been able to accompliih any thing of im¬ portance with regard to the main point. The firft who lucceeded in any confiderable degree was Mr John Harrifon ; who, in 1726, produced a watch which went fo exa&ly, that for ten years together it did not err above one fecond in a month. In 1736 it was tried in a voyage to Lifbon and back again, on board one of his Majefty’s Ihips ; during which it cor¬ rected an error of a degree and an half in the compu¬ tation of the fltip’s reckoning. In coufequence of this be received public encouragement to go on; and by the year 1761 had finiihed three time-keepers, each of them more accurate than the former. The laft turned out fo much to his fatisfaCtion, that he now applied to the commiffioners of longitude for leave to make an experiment with his watch in a voyage to the. Welt In¬ dies. Permiffion being granted, his fon Mr William Harrifon fet out in his MajeHy’s fhip the Deptford for Jamaica in the month of November 1761. This trial was attended with all imaginable fuccefs. The longitude of the idand, as determined by the time¬ keeper, differed from that found by allronomical ob- fervations only one minute mid a quarter of the equator ; the longitudes of places feen by the way being alfo determined with great exa&nefs. On the fhip's return to England, it was found to have erred no more during the whole voyage than 1' 54^" in time, which is little more than 28 miles in diltance; which beingwithin thelimits prefcribed by the adt, the inventor claimed the whole L. 20,000 offered by government. Objections to this, however, were foon flarted. Doubts were pretended about the real longitude of Jamaica, as well as the manner in which the time had been found both there and at Portfmouth. It was alleged alfo, that although the time-keeper happened to be right at Jamaica, and after its return to England, this was by no means a proof that it had always been fo in the intermediate times; in confequence of which al¬ legations, another trial was appointed in a voyage to Barbadoes. Precautions were now taken to obviate as many of thefe objections as poffible. The commif¬ fioners fent out proper perfons to make aftronomical Obfervations at that ifland ; which, when compared with others in England, would afcertain beyond a doubt its true fituation. In 1764 then, Mr Harrifon junior fet fail for Barbadoes ; and the refult of the experi¬ ment was, that the difference of longitude betwixt Portfmouth and Barbadoes was fhovvn by the time¬ keeper to be 3b. 55' 3"; an4 by aftronomical obfer- vations to be 3h. 54' 20' ; the error being now only 43" of time, or 10' 45' of longitude. In confrquence of this and the former trials, Mr Harrifon received one half of the reward promiied, upon making a difeovery of the principles upon which his time-keepers were con- ftrufted. He was likewife promifed the other half of the reward as foon as time-keepers fhould be conflruft- «d by other artifts which fhould anfwer the purpofe as N° 187 well as thofe of Mr Harrifon himfelf. At this time he Longitude; delivered up all his tfme-keepers, the lafl of which was •• v— fent to Greenwich to he tried by Mr Nevil Mafkelyne the-aftronomer-royal. On trial, however, it was found to go with much lefs regularity than had been expeft- ed; but Mr Harrifon attributed this to his having made fome experiments with it which he had not time to finifh when he was ordered to deliver up the watch. Soon after this, an agreement was made by the com¬ miffioners with Mr Kendall to conftruCt a watch upon Mr Harrifon’s principles; and this upon trial was found to anfwer the purpofe even better than any that Har¬ rifon himfelf had conftruded. This watch was fent out with Captain Cook in 1772; and during all the time of his voyage round the world in 1772, 1773 1774, and 1775, never erred quite iqj- feconds per day: in confequence of which, the houfe of commons, in 1774, ordered the other L, 10,000 to be paid to Mr Harrifon. Still greater accuracy, however, has been attained. A watch was lately conftru&ed by Mr Arnold, which, during a trial of 13 months, from February 1779 to February 1780, varied no more than 6.69' during any two days; and the greatefl difference between its rates of going on any day and the next to it was ■ • r 1The greateft error it would have committed therefore in the longitude during any Angle day Would have been very little more than one minute of longitude; and thus might the longitude be determined with as great exadlnefs as the latitude ge¬ nerally can.—This watch, however, has not yet been tried at fea. • Thus the method of conftru&ing time-keepers for difeovering the longitude feems to be brought to as great a degree of perfection as can well be expected. Still, however, as thefe watches are fubjeft to acci¬ dents, and may thus alter the rate of their going with¬ out any poffibility of a difeovery, it is neceffary that fome other method Ihould be fallen upon, in order to correct from time to time thofe errors which may arife either from the natural going of the watch, or frorrj any accident which may happen to it. Methods of this kind are all founded upon cexeftial obfervations of fome kind or other; and for thefe methods, or even for an improvement in time-keepers, rewards are itill held out by government. After the difeoveries made by Mr Harrifon, the a& concerning the longitude was repealed, excepting fo much of it as related to th* conftrufting, printing, publiffiing, See. of nautical al¬ manacks and other ufeful tables. It was enafted alfo, that any perfon who ihall difeover a method for find¬ ing the longitude by means of a time-keeper, the prin¬ ciples of which have not hitherto been made public, (hall be intitled to a reward of L. .5000, if, after cer¬ tain trials made by the commiffioners, the faid method (hall enable a (hip to keep her longitude during a voy¬ age of fix months within 60 geographical miles or a degree of a great circle. If the (hip keeps her longi¬ tude within 40 geographical miles for that time, the inventor is intitled to a reward of L. 7500> and L. 10,000 if the longitude is kept within half a de¬ gree. If the method is by improved aftronomical tables, the author is intitled to L.5000 when they (how the diftance of the moon from the fun and liars within 15 feconds of a degree, anfwering to about 7 •minutes of longitude, after allowing half a degree for LON [ 281 1 LON Longitude, errors of obfervation, and under certain reftriftions, w—y—- and after comparifon with aftronomical obfervations •for a period of i8x years, during which the lunar ir¬ regularities are fuppofed to be completed. The fame rewards are offered to the perfon who fliall with the •like accuracy difcover any other method of finding the longitude. Thefe methods require celeftial obfervations; and any of the phenomena, fuch as the different apparent places of flars with regard to the moon, the beginning and ending of eclipfes, &c. will anfwer the purpofe : only it is abfolutely neceffary that fome variation fhould be perceptible in the phenomenon in the fpace of two minutes ; for even this fhort fpace of time will pro¬ duce an error of 30 miles in longitude. The moft proper phenomena therefore for determining the lon¬ gitude in this manner are the eclipfes of Jupiter’s fa- tellites. Tables of their motions have been conftruct- ed, and carefully corrcfted from time to time, as the mutual attractions of thefe bodies are found greatly to difturb the regularity of their motions. The difficul¬ ty here, however, is to obferve thefe eclipfes at fea; and this difficulty has been found fo great, that no perfon feems able tofurmount it. The difficulty arifes from the violent agitation of a (hip in the ocean, for which no adequate remedy has ever yet been found, nor probably will ever be found. Mr Chriftopher Irwin indeed invented a machine which he called a marine chair, with a view to prevent the effefts of this agitation; but on trying it in a voyage to Barbadoes, it was found to be totally ufelefs. A whimfical method of finding the longitude was propofed by Meffis Whifton and Ditton from the re¬ port and flaffi of great guns. The motion of found is known to be nearly equable, from whatever body it pro¬ ceeds or whatever be the medium. Suppofing there¬ fore a mortar to be fired at any place the longitude of which is known, the difference between the moment that the flaffi is feen and the report heard will give the diftance between the tWo places; whence, if we know the latitudes of thefe places, their longitudes muff alfo be known. If the exadt time of the explo¬ sion be known at the place where it happens, the difference of time at the place where it is heard will likewife give the difference of longitude. Let us next fuppofe the mortar to be loaded-with an iron ffiell filled with combuflible matter, and fired perpendicu¬ larly upward into the air, the ffiell will be carried to the height of a mile, and will be feen at the diftance of near too; whence; fuppofir.g neither the flaffi of the mortar fhould be feen nor the report heard, Hill the longitude might be determined by the altitude of the ffiell above the horizon. According to this plan, mortars were to be fired at certain times and at proper ftations along all fre¬ quented coafts for the diredtion of mariners. Thisin- • deed might be qf ufe,’and in ftormy weather might be a kind of improvement in light-houfe's, or a proper addition to them; but with regard to the determina¬ tion of longitudes, is evidently ridiculous. . We ffiall now proceed to give fome pradfical direc¬ tions for finding the longitude at fea by proper ce- kllial obfervations; exclufive of thofe from Jupiter’s Satellites, which, for reafons juft mentioned, cannot Te pradlifed at fea. In the firft place, however, it will be Voi. X. Part I. neceffary to point out fome of thofe difficulties which Lonplfude; ftand in the way, and which render even this method of ——v—“J finding the longitude precarious and uncertain. Thefe lie principally in theredudtion of the obfervat ions of the heavenly bodies made on the furface of the earth to fimilar obfervations fuppofed to be made at the centre; which is the only place where the celeftial bodies ap¬ pear in their proper fituation. It is alfo very difficult to make proper allowances for the refradtion of the atmofphere, by which all objedts appear higher than they really are; and another difficulty arifes from their parallaxes, which qiakes them, particularly the moon, appear lower than they would otherwife do, excepting when they are in the very zenith. It is alfo well known, that the nearer the horizon any celeftial body is, the greater its parallax will be ; and as the parallax and refradtion adt in oppofite ways to one another, the former depreffing and the latter railing the objedt, it is plain, that great difficulties muft arife from this cir- cumftance. The fun, for inftance, whofe parallax is lefs than the refradtion, muft always appear higher than he really is; but the moon, whofe parallax is greater than her refradtion, muft always appear lower. To render obfervations of the celeftial bodies more eafy, the commiffioners of longitude have caufed an Ephemeris or Nautical Almanack to be publiffied an¬ nually, containing every requifite for folving this im¬ portant problem which can be put into the form of tables. But whatever may be done in this way, it will be neceffary to make the neceffary preparations concerning the dip of the horizon, the refradtion, feme- diameters, parallax, &c; in order to reduce the apparent to the true altitudes and diftances; for which we ffiall here fubjoin two general rules. The principal obfervation for finding the longitude at fea is that of the moon from the fun, or from fome remarkable ftar near the zodiac. To do this, the operator muft be Jurniffied with a watch which can be depended upon for keeping time within a mi¬ nute for fix hours ; and with- a good Hadley’s qua¬ drant, or, which is preferable, a fextant: and this laft ffi- ftrument will ftill be more fit for the purpofe if it be furniffied with a ferew for moving the index gradually; likewife an additional dark glafs, but not fo dark as the common kind, for taking off the glare of the moon’s light in obferving her diftance. from a ftar. A fmall telefcope, which may magnify three or four times, is alfo neceffary to' render the contatt of a ftar with the moon’s limb more difcernihle. A magnifying glafs of 1 i or 2 inches focus will likewife affift the ope¬ rator in riding off his obfervations with the greater facility. 1. To make the olfervation. Having examined and ad- jufted his inftrument as well as poffible, the obferveris next to proceed in the following manner: If the diftance of the moon from the fun is to be obferved, turn down one of the fereens; look at the moon direftly through the tranfparent part of the horizon-glafs ; and keeping her in view, gently move the index till the fun’s image be brought into the filvered part of that glafs. Bring the neareft limbs of both objefts into contadt, and let the qua¬ drant librate a little on the lunar ray; by which means the fun will appear to rife and fall by the fide of the moon.; in which motion the neareft limbs muft be made to touch one another exactly by moving the index. The ob- N a fervatioa LON 582 1 LON Longitude, femtion is then made ; and the divifion coinciding T—- with that on the Vernier fcale, will {how the diftance of the neared limbs of the obje&s. When the diilance of the moon from a tor is to be obferved when the moon is verf bright, turn down the lighted fcreen, or ufe a dark glai's lighter than the fcreens, and defigned for this particular purpofe ; look at the dar direftlv through the tranfparent part of the horizon-glafs ; and keeping it there, move the index till the moon’s image is brought into the filvered part ef the fame glafs. Make the quadrant librate gently on the dar’s ray, and the moon will appear to rife and fall by the dar: move the index between the librations, until the moon’s enlightened limb is exactly touched by the dar, and then the obfervation is made. In thefe operations, the plane of the quadrant mud always pafs through the two objefts, the didance of which is to be obferved ; and for this purpofe it mud be placed in various politions according to the fituation of the objects, which will foon be rendered eafy by practice. The obfervation being made, fomebody at th every indant that the operator calls mud obferve by the watch the exaft hour, minute, and quarter minute, if there be no fecond hand, in order to find the apparent time ; and at the fame indant, or as quick as poflible, two affidants mud take the altitudes of thofe objects the didance of which is obferved; after which, the obfervations neceflary for finding the longitude are completed. The ephemeris fhows the moon’s didance from, the fun, and likewife from proper dars, to every three hours of apparent time for the meridian of Greenwich; and that the greater number of opportunities of ob- ferving this luminary may be given, her didance is generally fet down from at lead one objeft on each fide of her. Her didance from the fun is fet down while it is between 40 and 120 degrees ; fo that, by means of a fextant, it may be obferved for two or three days after her fird and before her lad quarter. When the moon is between 40 and 90 degrees from the fun, her didance is fet down both from the fun and from a dar on the contrary fide ; and, ladly, when the di¬ dance is above 120 degrees, the didance is fet down from two dars, one on each fide of her. The didance of the moon from obje&s On tjie ead fide of her is found in the ephemeris in the 8th and 9th pages of the month ; and her didance from obje&s on the wed is found in the 10th and 1 ith pages of the month. When the ephemeris is ufed, the didance of the moon mud only be obferved from thofe dars the di¬ ftance of which is fet down there ; and thefe afford a ready means of knowing the dar from which her di¬ dance ought to be obferved. The obferver has then nothing more to do than to fet his index to the di¬ dance rougldy computed at the apparent time, edi- mated nearly for the meridian at Greenwich; after which he is to look to the ead or wed of the moon, according as the didance of the dar is found in the 8th or 9th, or in the loth or nth, pages of the month ; and having found the moon upon the hori- aon-glad, the dar will eafily be found by fweeping wi/’Ji the quadrant to the right or left, provided the air be clear and the dar be in the line of the moon’s fltorfed axis produced: The time at Greenwich is edimated by turning into time the fuppofed longitude from that place, and adding it to the apparent time at Longitude. the fhip, or fubtrafting it from it as occafion requires.f The didance of the moon from the fun, or a ftar, is roughly found at this time, by faying, As 180 minutes (the number contained in three hours) is to the diffe¬ rence in minutes between this nearly edimated time and the next preceding time fet down in the epheme- ris; fo is the difference in minutes between the di¬ dances in the ephemeris for the next preceding and next following times, to a number of minutes; which being added to the next preceding didance, or fub- tradted from it, according as it is increafing or de- creafing, will give the didance nearly at the time the obfervation is to be made, and to which the index mud be fet. An eafier method of finding the angular didance is by bringing the objetris nearly into contatri in the common way, and then fixing the index tight to a certain degree and minute; waiting until the objects are nearly in contact, giving notice to the affidants to get ready with the altitudes, and when the objetris are exaftly in contairi to call for the altitudes and the ex- a(ri time by the watch. The obferver may then pre¬ pare for taking another didance, by fetting his index three or four minutes backwards or fonvards, as the objects happen to be receding from or approaching to each other; thus proceeding to take the didance, alti¬ tude's, and time by the watch, as before. Thus the obferver may take as many didances as he thinks pro¬ per ; but four at the didance of three minutes, or three at the didance of four minutes, will at all times be fufficient. Thus not only the eye of the obferver will be lefs fatigued, but he will likewife be enabled to manage his indrument with much greater facility in every direction, a vertical one only excepted. If in taking the didances the middle one can be taken at any even divifion on the arch, fuch as a degree, or a degree and 20 or 40 minutes, that didance will be in¬ dependent of the Nonius divifion, and confequently free of tjiofc errors which frequently arife from the in¬ equality of that divifion in feveral parts of the gra¬ duated arch. The obfervation ought always to be made about two hours before or after noon ; and the true time may be found by the altitude of the fun ta¬ ken at the precife time of the didance. If three di¬ dances are taken, then find the time by the altitude correfponding with the middle didance ; and thus the obfervation will be fecured from any error arifing from the irregularity of the going of the watch. As the time, however, found by the altitude of a dar cannot be depended upon, becaufe of the uncertainty of the horizon in the night, the bed way of determining the- time for a night obfervation will be by two altitudes of the fun ; one taken on the preceding afternoon, before he is within fix degrees of the horizon ; and the other on the next morning, when he is more than fix de¬ grees high. It mud be obferved, however, that in order to follow thefe direftions, it is neceffary that the atmofphere fhould be pretty free from clouds; other- wife the obferver mud take the obfervations at fuch times as he can bed obtain them. 2. To reduce the olferved Dijlance of the Sun or a Star from the moon to the true Diftance. 1. Turn the longitude into time, and add it to the time at the Ihip if the longitude he wed, hut fubtratri it. if it be eaft,, which LON [ 283 ] L 0 N X.*ngltude which will give the ftippofed time at Greenwich; and rlthmic cotangent of the fun ar f’ar’j apparent aJti- Longitude* v*—■ this we may call reduced time. 2. Find the neareft noon tude, and the logarithmic tangent of the apparent — or midnight both before and after the reduced time difiance of the moon from the Tun or ftar. The fum in the feventh page of the month in the ephemem. of thefe, reje&ing 20 in the index, will be the pro- 3. Take out the moon’s femidiameter and horizontal portional logarithm of the fecond angle. 3. Take parallaxes correfponding to thefe noons and midnights, the difference between the fivft and fecond angles, and find their differences. Then fay, As 12 hours is adding it to the apparent diftance if it be lefs than to the moon’s femidiameter in 12 hours, fo is the re- 90, and the. firfl angle be greater than the fecond ; duced time to a number of feconds; which, either add- but fubtraCling it if the fecond be greater than the ed to or fubtrafted from the moon’s femidiameter at firft. If the diftance be greater than 90, the fum of the noon or midnight juft mentioned, according as it the angles mull be added to the apparent diftance, is increafing or decreafing, will give her apparent fe- which will give the diftance corrected for the refrae- midiameter ; to which add the correction from Table tion of the iun or ftar. 4. To the proportional la- VIII. of the ephemeris, and the fum will be her true ganthm of the correction of the moon’s altitude add femidiameter at the reduced time. And as 12 hours the logarithmic cofme of her apparent altitude ; the is to the difference of the moon’s horizontal parallax in logarithmic filie of the diftance corrected for the fun 12 hours, fo is the reduced time to a fourth number; or ftar’s refraCtion,- and the logarithmic co-fecant of* which, being added to or fubtraCted from the moon’s the fun or ftar’s apparent altitude. The fum, rejeCt- horizontal parallax at the noon or midnight before the dig 30 in the index, will be the proportional loga- reduced time, according as it is increafing or decrea- ritlun of the third angle. 5. To the proportional ling, the fum or difference will be the moon’s horizon- logarithm of the correction of the moon’s apparent tal parallax at the reduced time. 4. If the reduced altitude,, add the logarithmic co-tangent of her appa- time be nearly any even part of 12 hours, wz 4-th,-Jth, rei)t altitude, and the tangent of the diftance cor- &c. thefe parts of the difference may be taken, and reCted for the fun or ftar’s refraCtion ; their fum, re- either added or fubtraCted according to the directions jeCting 20 in the index, will be the proportional lo- .already given, without being at the trouble of working ganthm of the fourth angle. 6. Take the difference Tby the rule of proportion. 5. To the obferved alti- between the third and fourth angles, and fubtraCt it tude of the fun’s lower limb add the difference betwixt from the. diftauce corrected for the fun or ftar’s re- his femidiameter and dip ; and that fum will be his fraCtion if lefs than 90, and the third angle be great- apparent altitude. 6. From tne fun’s refraCtion take er than the fourth; or add it to the diftance if the fourth his parallax in altitude, and the remainder will be the angle begreater than the third: but if the diftancebemore correction of the fun’s altitude. 7. From the ftar’s than 90, the fum of the angles mull be fubtraCted from obferved altitude take the dip of the horizon, and the it, to give the diftance corrected for the fun or ftar’s re¬ remainder will be the apparent altitude. 8. The re- fraction, and the principal effeCts of the moon’s pa- fraCtion of a ftar will be the correction of its altitude, rallax. 7. In I able XX. of the ephemeris, look for 9. Take the difference between the moon’s femidia- the diftance corrected for the fun and ftar’s refraCtion meter and dip, and add it to the obferved altitude if an^ the moon’s parallax in the top column, and the her lower limb was taken, or fubtraCt it if her upper correction of her altitude in the left-hand fide column { limb was taken ; and the fum or difference will be the take out the number of feconds that ftand under the apparent altitude of her centre. 10. From the pro- former, and oppofite to the latter. Look again in portional logaiithm of the moon’s horizontal parallax, the fame table for the corrected diftance in the top taken out of the nautical almanack (increafing its in- column, and the correction of the moon’s altitude is dex by 10), take the logarithmic coftne of the moon’s the left-hand fide column ; take out the number of apparent altitude, the remainder will be the proper- feconds that ftand under the former and oppofite to tional logarithm of her parallax in altitude; from which the latter. Look again in the fame table for the take her refraCtion, and the remainder will be the cor- corrected diftance in the top-column, and the correction reCtion of the moon’s altitude. 11. To the obferved °* the moon’s altitude in the left-hand fide column • diftance of the moon from a ftar add her femidiameter . take out the number of feconds that ftand under the if the neareft limb be taken, but fubtraCt it if- the former, and oppofite to the latter. Look again in fartheft limb was taken, and the fum or difference will the lame table for the corrected diftance in the top- be the apparent diftance. 12. To the obferved di- column, and the principal effedts of the moon’s parallax fiance of the fun and moon add both their femidiame- i11 the left-hand tide column, and take out the number ters, and the fum will be the apparent diftance of their feconds. The difference between thefe two num- centres. bers mult be added to the corre&ed diftance if lefs than 3. To- find the true Difiance of the Olfiat. having 9°’. fubtraCted from it if greater; and the fum or their apparent Altitudes and Difiances. 1. To the pro- difference will be the true diftance. portional logarithm of the correction of the fun or 4- T'e determine the Longitude after having obtain- ftar’s altitude, add the logarithmic cofine of the fun eci the true Difiame. Look in the ephemeris among or ftar’s apparent altitude ; the logarithmic fine of the the diftances of the objeCts for the computed diftam^ apparent diftance of the moon from the fun or ftar; betwixt the moon and the other objeCl obferved on and the logarithmic co-fecant of the moon’s apparent the given day. If it be found there the time at altitude. . The fum of thefe, rejecting 30 from the Greenwich will be at the top of the column; but' if index, will be the proportional logarithm of the firft it falls between two diftances in the ephemeris which- angle. 2. To the proportional logarithm of the cor- ftand immediately before and after it, and alfo the redion of the fun or ftar’s altitude, add the loga- difference between the diftance {landing before and N n z the LON I.engitucfcrtHe computed diftance; then take the proportional ’■ logarithms of the firft and fecond differences, and the difference between thefe _two logarithms will be the proportional logarithm of a number of hours, mi- jmtes, and feconds; which beinsj added to the time Handing over the firft diftance, will give the true time at Greenwich. Or it may be found by faying, As the firft difference is to three hours* fo is the fecond difference to a proportional part of time ; which be- [ 284 1 LON eftimate of its drift and courfe. Then with the ftt- Longitude, ting and drift, as a courfe and diftance, find the dif- *—v——- ference o£ latitude and departure; with which the dead reckoning is to be increafed or diminiihed : and if the latitude thus corredled agrees with that by ob- fervation, the departure thus correfted may be fafely taken as true, and thus the fhip’s place with regard to the longitude determined. Exam. Suppofe a fhip in 24 hours finds, by her ing added as above direfted, will give the time at dead reckoning, that (he has made 96 miles of dif- Greenwich. The difference between Greenwich time and that at the fhip, turned into longitude, will be that at the time the obfervations were made ; and will be eaft if the time at the fhip is greateft, but weft if it is leaft. Having given thefe general directions, we lhall next proceed to fhow fome particular examples of .finding the longitude at fea by all the different me- .thods in which it is ufually tried. I. To find the Longitude by Computation from the Ship’s Courfe.—-Were it poffible to keep an accurate account of .the diftance the fhip has run, and to meafure it ex- gee aftly by the log f or any other means, then both lati- (perpetufl) tude and longitude would eafily be found by fettling the fhip’s account to that time. For the courfe and diftance being known, the difference of latitude and ference of latitude north and 38 miles of departure weft ; but by obfervation finds her difference of lati¬ tude 112, and on trial that there is a current which in 24 hours makes a difference of 16 miles latitude north and 10 miles of departure eaft : Required the fhip’s departure. miles. Diff. lat. by account 96 N. Diff. lat. by current 16 N. True diff. lat. Departure by ? miles. account 3 38 W. Departure by 7 jo current 3 28 W. Here the dead reckoning corefted by the current gives the difference of latitude 112 miles, which is the fame as that found by obfervation; whence the departure is readily found by the Traverfe I able ; and departure 28 is taken as the true the difference of longitude being known, the true longitude and latitude will alfo be known. A variety of caufes, however, concur to render this computa¬ tion inaccurate ; particularly the fhip’s continual de¬ flexion from the courfe fet by her playing to the right and left round her centre of gravity ; the un¬ equal care of thofe at the helm, and the diftance fup- When the error is fuppofed to arife from the courfes and diftances, we muft obferve, that if the difference of latitude is much more than the departure, or the direfl courfe has been within three points of the me¬ ridian, the error is moft probably in the diftance. But if the departure be much greater than the difference of latitude, or the direft courfe be within three points pofed to be failed being erroneous, on account. of 0f ^ parallel} or more than five points from the me- itormy feas, unfteady winds, currents, &c. for which it feems impoflible t6 make any allowance. The place of the fhip, however, is judged of by finding the latitude every day, if poffible, by obfervations; and if the latitude found by obfervation agrees with that by the reckoning, it is prefumed that the fhip’s place is properly determined; but if they difagree, it is concluded that the account of the longitude ftands in need of correXion, as the latitude by obfervation is always to be depended upon. Currents very often occafion errors in the compu¬ tation of a fhip’s place. The caufes of thefe in the great depths of the ocean are not well known, though ridian, the error is probably to be aferibed to the courfe. But if the courfes in general are near the middle of the quadrant, the error may be either in the courfe, or in the diftance, or both. This method admits of three cafes. 1. When, by the dead reckoning, the difference of latitude is more than once and an half the departure j or when the eourfe is lefs than three points : Find the courfe to the difference of latitude and departure. With this courfe and the meridional difference of la¬ titude by obfervation, find the difference of longi¬ tude. 1 2. When the dead reckoning is more than once many of the motions near the fhore can be accounted an4 an half the difference of latitude; or when the tor. It is fuppofed that fome of thofe in the great courfe is more than five points t Find the courfe and oceans are owing to the tide following the moon, diftance with the difference of latitude by obfervation, and a certain libration of the waters arifing from and departure by account ; then with the co-middle thence; likewife that the unfettled nature of thefe latitude by obfervation, and departure by account, currents may be owing to the changes in the moon’s the difference of longitude. declination. In the torrid zone, however, a confi- g. When the difference of latitude and departure derable current is occafioned by the trade-wihds, the by account is nearly equal, or the direX courfe is motion being conft^ntly to the weft, at the rate of between three and five points of the meridian : Find eight or ten miles per day. At the extremities of the the courfe with the difference of latitude and depar- trade-winds or near the 30th degree of north or fouth ture by account fince the laft obfervation. With this latitude, the currents are probably compounded of COurfe and the difference of latitude by obfervation this motion to the weftward, and of one towards the equator; whence all (hips failing within thefe limits ight to allow a courfe each day for the current, When the error is fuppofed to have been, occafioned by a current, it ought if poffible to be tried whether the cafe is fo or not; or we muft make a reafonable find another departure. Take half the fum of thefe departures for the true one. With the true departure: and difference of latitude by obfervation- find the true courfe ; then with the true courfe and meridional difference of latitude find the difference of longitude. 2. To find the Longitude at. Sea by a Variation-chart 5 Dr I- O N T 285 ] LON :• Dr Halley having colle&ed a great number of obfer- vations on the variation of the needle in many parts of the world ; by that' means was enabled to draw certain lines on Mercator’s chart, fliowing the varia¬ tion in all the places over which they paffed in the year 1700, at which time he firft publifhed the chart; whenct the longitude of thofe places might be found by the chart provided its latitude and variation was given. The rule is, Draw a parallel of latitude on the chart through the latitude found by obfervation ; and the point where it cuts- the curved line marked with the variation that was obferved willbe the /hip’s place. Exam. A fhip finds by obfervation the latitude to be 18° 20* north; and the, variation of the compafs to be 40 weft. Required the /hipls place.—Lay a ruler over 18J 20' north parallel to the equator; and the point where its edge cuts the curve of 40 weft va¬ riation gives the /hip’s place, which will be found in about 27’ 10' weft from London. This method of finding the longitude, however, is attended with two inconveniences. 1. That when the variation lines run eaft or weft, or nearly fo, it cannot be applied; though as this happens only in certain parts of the world, a variationGchart may be of great ufe for the reft. Even in thofe places indeed where the variation curves do run eaft or weft, they may be of confiderable ufe in corre&ing the latitude when meridian obfervations cannot be had; which frequently happens on the northern coafts of America, the Weftern Ocean, and about Newfoundland; for if the variation can be found exa&ly, the eaft and weft curve anfwering to it will /how the latitude. But, 2. The variation itfelf is fubjeft to continual change; whence a chart, though ever fo perfeft at firft, muft in time become totally ufelefs; and hence the charts con- ftrufted by Dr Halley, though of great utility at their firft publication, became at length almoft entirely ufe¬ lefs. A new one was publi/hed in 1746 by Mefirs Moun- taine and Dodfon, which was fo well received, that in 1756 they again drew variation lines fof that year, and publi/hed a third chart the year following. They alfo prefented to the Royal Society a curious paper concerning the variation of the magnetic needle, with a fet of tables annexed, containing the refult of more than 50,000 obfervations, in fix periodical reviews from the year 1700' to 1756 inclufive, adapted to every five degrees of latitude and longitude in the more frequented oceans; all of which were publi/hed in the Philofophica! Tranfactions for 1757. 3. To Jitid the Longitude by the Sun’s Declination.— Having made fuch obfervations on the fun as may enable us to find his declination at the place, take the difference between ^lis computed declination and that fhown at London by the ephemeris ; from which take alfo the daily difference of declination at that time then fay, as the daily difference of declination is to the above found difference, fo is 360 degrees to the difference of longitude. In this method, however, a fmall error in the declination will make a great one in longitude, 4, To find the Longitude by the Moon's culminating* —Seek in the ephemeris for the time of her coming to the meridian on the given day and on the day following, and take their difference ; alfo take the dif¬ ference betwixt the times of culminating on the fame day as found in the ephemeris, and as obferved; then Longitude, fay, as the daily difference in the ephemeris is to the difference between the ephemeris and obfervation ; fo is 360 degrees to the difference of longitude. In this method alfo a fmall difference in the culmination will occafion a great one in tire longitude. 5. By Eclipfes of the Moon.—This is done much in the fame manner as by the eclipfes of Jupiter’s fa- tellites: For if, in two or more diftant places where an eclipfe of the moon is vifible, we carefully obferve the times of the beginning and ending, the number of digits edipfed, or the time when the /hadow touches fome remarkable fpot, of when it leaves any particular fpot on the moon, the difference of the times when the obfervations were made will give the difference of longitude. Phenomena of this kind, however, occur too feldom to be of much ufe. 6. In the 76th volume of the Philofophical Tranf- actions, Mr Edward Pigot gives a very particular ac¬ count of his method of determining the longitude and latitude of York; in which he alfo recommends the method of determining the longitude of places by obfervations of the moon’s tranfot over the meridiany The inftruments ufed in his obfervations'were a gridiron pendulum-clock, a two feet and an half refleftor, an eighteen inch quadrant made by Mr Bird, and a tran- fit inftrument made by Mr Siffon. By thefe inftruments an obfervation was made, on the 10th of September 1783, of the occultation of a liar of the ninth magnitude by the moon, during an eclipfe of that planet, at York and Paris. Belides this, there were obfervations made of the immerfions of v Aquarii and ^ Pifctum ; the refult of all which was, that between Greenwich and York the difference of meridians was 4' 27". In 1783, Mr Pigot informs usr that he thought of finding the difference of meridians by obferving the meridian right afceniions of the moon’s limb. This he thought had been quite original: but he found it after¬ wards in the Nautical Almanack for 17,69, and in 1784 read a pamphlet on the fame fubjeft by the Abbe Toaldo ; but ftill found that the great exactnefs of this method was not fufpedled ; though he is con¬ vinced that it muft foon be urriverfally adopted in pre¬ ference to that from the firft fatellite of Jupiter. After giving a number of obfervations on the fatel- lites of Jupiter, he concludes, that the exaftnefs ex¬ pelled from obfervations, even on the firft fatellite, is much over-rated. “ Among the various objections (fays he), there is one 1 have often.experienced, and which proceeds fdlely from the difpolltion of the eye, that of feeing more diftindtly at one time than ano¬ ther. It may hot be improper alfo to mention, that the obfervation I ftiould have relied on as the heft, that of Aug. 30. 1785, marked excellent, is one of thofe moft diftant from the truth.*’ After giving a number of obfervatiohs on the eclipfe of the moon Sept. 10. 1783, our author concludes, that the eclipfes of the moon’s fpots are in general too much- neglefted, and that it might be relied upon much more were the following circumftances attended to : r. To be particular in fpecifying the clearnefs of the /ky. 2. To choofe fuch fpots as are well defined, and leave no hefitation as to the part eclipfed. 3. That every obferver /hould ufe, as far as pofiible, telefcopes equally LON [ Longitude, pqvially powerful, or at leaft let the magnifying powers u.—y—— jje tjlc fame, " A principal objeftion (fays he) may ftill be urged, viz. the difficulty of diitinguiihing the true ihadow from the penumbra. Was this obviated, I believe the refults would be more exaft than from Jupiter’s firft fatellite : Undoubtedly the Ihadow ap¬ pears better defined if magnified little ; but I am much inclined to think, that, with high magnifying powers, there is greater certainty of choofing the fame part of the Ihadow, which perhaps is more than a fufficient compenfation for the lofs of diftin&nefs.” The following rule for meridian obfervations of the moon’s limb is next laid down : “ The increafe of the moon’s right afcenfion in twelve hours (or any given time found by computation), is to 12 hours as the increafe of the moon’s right afcenfion between two places found by obfervation is to the difference of me¬ ridians. Example. Nov. 30. 1782. h. ' " J3 12 57.62 Meridian tranfit of moon’s^ By clock fecopd limb > at Green- 13 13 29.08 Ditto of a 1JZ j wich. 286 1 LON 31.46 Difference of right afcenfion. 13 14 8.05 Meridian tranfit of moon’s^ fecond limb 1.3 14 30.13 Ditto of x in’ 22.08 Difference at York. 31.46 Difference at Greenwich. The clocks xoing near¬ ly fidereal time.nocor- redtion i»re- quired. 9.38 Increafe of the moon’s ap- )> parent right afcenfion be¬ tween Greenwich and York, by obfervation. 141'' in feconds of a degree, ditto, ditto, ditto. The increafe of the moon’s right afcenfion for 12 hours, by computation, is 23,340 feconds; and 12 hours reduced into feconds is 43,200. Therefore, ac- as the fight is fubjeft to vary. 6. A principal error Longitude, proceeds from the obfervation of the moon’s limb, ’•‘■"V"*"* which may be confiderably leffened, if certain little round fpots near each limb were alfo obferved in fettled obfervatories; in which cafe the libration of the moon will perhaps oe a confideration. 7. When the dif¬ ference of meridians, or of the latitudes of places, is very confiderable, the change of the moon’s diameter becomes an equation. “ Though fuch are the requifites to ufe this me¬ thod with advantage, only one or two of them have been employed in the obfervations that I have redu¬ ced. Two-thirds of thefe obfervations had not even the fame ftars obferved at Greenwich and York ; and. yet none of the refults, except a doubtful one, differ 15" from the mean ; therefore I think we may expect a ftill greater exa&nefs, perhaps within to" if the a- bove particulars be attended to. “ When the fame ftara are not obferved, it is necef- fary for .the obfervers at both places to compute their right afcenfion from tables, in order to get the appa¬ rent right of afcenfion of the moon’s limb. Though this is not fo fatisfa&ory as by aftual obfervation, ftill the difference will be trifling, provided the ftar’s right afeenfions are accurately fettled. I am alfo of opi¬ nion, that the fame method can be put in practice by travellers with little trouble, and a tranfit inftrurnent, conftrufted fo as to fix up with facility in any place. It is not neceffary, perhaps, that the inftrument Ihould be perfectly in the meridian for a few feconds of time, provided ftars, nearly in the fame parallel of declina¬ tion with the moon, are obferved ; nay, I am inclined to think, that if the inftrument deviates even a quarter or half a degree, or more, fufficient exaftnefs can be attained ; as a table might be computed, (bowing the moon’s parallax and motion for fuch deviation ; which laft may eafily be found by the well known method of obferving ftars whofe difference of declination is conliderable. “ As travellers very feldom meet with fituations to obferve ftars near the pole, or find a proper object for determining the error of the line of collimation, I (hall recommend the following method as original.—- Having computed the apparent right afcenfion ot four, fix, or more ftars, which have nearly the fame cording to the rule ftated above, 23,340" : 43,200" : diff. of merid. =261". “ Thefe eafy obfervations and (hort reduftion (fays ^ Mr Pigott) are the whole of the bufinefs. Inftead of parallel of declination, obferve half of them with the computing the moon’s right afcenfion for 12 hours, inftrument inverted, and the other half when in its 1 have conftantly taken it from the Nautical Alma- right pofition. If the difference of right afeenfions nacks, which give it fufficiently exa wherever thefe terms occur, we fhall find a fecond correction of diftance to be ap¬ plied to the diftance, once corrected by fub tract ion when the angle at the fun is obtufe, but by addition when that angle is acute, and the remainder or fum is the true diftance nearly. v In applying this rule, it will be fufficient to ufe the complement, altitudes, and apparent diftances of cen¬ tres, true to the neareft minute only, as a fmall error in the angles at the fun and moon will very little af- feCl the corrections of diftances. If D be the computed diftance in feconds, d the difference between the moon’s parallax and refraCtion in altitude, S the fine of the angle at the moon, and R the radius: then — will be a third correction 2DR of diftance, to be added to the diftance twice correc¬ ted : But it is plain, from the nature of this correc¬ tion, that it may be always rejected, except when the diftance I) is very fmall, and the angle at the moon nearly equal to 90°. This folution is likewife of ufe in finding the true diftance of a ftar from the moon, by changing the, word fun intofar, and uling the refraCtion of the ftar, in- ftead of the difference between the refraCtion and pa¬ rallax in altitude of the fun, in finding the fecond cor¬ rection of diftance. Ex. Given the obferved diftance of a ftar from the centre of the moon, 50° 8' 4J"; the moon’s altitude, 55° 5#' 5"; the ftar’s altitude, 19° 18' £ ' ;*and the moon’s "horizontal parallax, 1 o' 5': Required the true diftance. L 288 ] Cofec. 0.02512 *’s co. alt -70° 42/ D’s co. alt. 34 4— —Cofec. 0.25169 Cofec. o. 11479 obf. dift. 50 9 Cofec. ^0.11479 2)I54 55 Sine 9.98950 77 27 — — Sine -9.9895O Rem. 6 45 Sine 9.07018 / Sine 9.83688 " — Rem. 43 23 2)19.42616 ——Cofec. 9.71308 58° 54' .5’*' —- . 2 117 48 =r T)’s angle. 31 48 = #’s angle. Rad. : Cofec. 117° 48’ : : ])’diff. parall. & tefraCt. 1986'' i 923''— I ft corfeCt. of diftance. Rad. • Cofec. 310 48' : ftar’s refraCt. 161" s 138"= 2d correCt. of diftance. Here the firft Correction of diftance is additive, diftance of the ftar from the moon’s centre, gives fince the angle .at the moon is obtufe ; and the fe- 5oJ 26' 21'' for the true diftance. of centres nearly;—. cond correction is alfo additive, fmee the angle at the and 2XL (d-f-S)—L (2 L R+L 2-fL D) = L 8", ftar is acute : therefore their fum 923"-!-138"= 1061'' which, being added to the diftance twice corrected, S=i7' ft1"* being added to 50° 8 41", the apparant gives 50° 26' 29'' for the true diftance. By compa- N° 188. ring 2)19.96629 Cofec. 9.98314 LON [ 289 ] LON : Longitu'li-ring this diftance with the computed diftances in the nal ephemeris, the time at Greenwich correfpondirfg to I ” that of obferving the diftance will be known ; and the , 0”gU“ difference of thofe times being converted into degrees and minutes, at the rate of 15 degrees to the hour, will give the longitude of the place of obfervation ; which will be eaft if the time at the place be greater than that at Greenwich, but weft if it be lefs. LONGITUDINAL, in general,denotes fomething placed lengthwife: thus fome of the fibres in the vef- fels of the human body are placed longitudinally, others tranfverfely or acrofs. LONGOBARDI. See Langobardi. LONGOMONTANUS (Chriftian), a learned a- ftronomer, born in a village of Denmark in 156?. He was the fon of a ploughman ; and was obliged to fuffer during his ftudies all the hardfhips to which he could be expofed, dividing his time, like the philofopher Cle- anthes, between the cultivation of the earth and the leflbns he received from the minifter of the place. At laft, when he was 15, he ftole away from his family, and went to Wiburg, where there was a college, in which he fpent 11 year *; and though he was obliged to earn a livelihood, he applied himfelf to ftudy with fuch ardour, that among other fcience; he learned the mathematics in great perfection. He afterwards went to' Copenhagen ; where the profefibrs of that univerfity in a fhort time conceived fo high an opinion of him, that they recommended him to the celebrated Tycho Brahe. Longomontanus lived eight years with that femous aftronomer, and wa of great fervice to him in his obfervations and calculations. At length, being extremely defirous of obtaining a profeffor’s chair in Denmark, Tycho Brahe confented, though with fome difficulty, to deprive himfelf of his fervice ; gave him a difcharge, filled with the higheft teftimonies of his efteem ; andfurniffied him with money for the expence of his long journey. He obtained a profeflbrftiip of mathematics in the univerfity of Copenhagen in 1605 ; and difcharged the duty of it worthily till his death, which happened in 1647. He wrote many learned works ; amufed himfelf with endeavouring to fquare the circle, and pretended that he had made that difcovery ; . but Dr John Pell, an Englifli mathematician, attack¬ ed him warmly on that fubjeft, and proved that he was miftaken. LONGTOWN,a town of Cumberland, on the Scots borders, near the conflux of the Elk and Kirkfop, fe- ven miles from Carlifle, and 313 miles from London ; it has a market on Thurfday, and a charity-fchool for 60 children, with two fairs in the year. LONGUEVILLE, a town of France, in Upper Normandy, and in the territory of Caux, feated on the fmall river Lee, 17 miles north of Rouen. It has the title of a duchy. E. Long. 1. 10. N. Lat. 49. 46. LONGWY, a town of France, on the frontiers of the duchy of Luxemburg, with a caftle, divided into the old and new towns. This laft was built and for¬ tified by Louis XIV. It is feated on am eminence. E. Long. 5. 51. N. Lat. 40. 32. LONGUS, a Greek fophift, author of a book in- titled no.i/ vi^, or Paftorals, and a romance containing the loves of Daphnis and Chloe. Huetius, bilhop of Avranches, fpeaks very advantageoufly of this work ; but he cenfures the obfcene touches with which it is Vol. X. Part I. inte. iperfed. None of the ancient authors mention him, Lome fo the time when he lived cannot be certainly fixed. '*—"v" There is an Englilh tranllaiion of this author-, which is aferibed to the late J. Craggs, Efq; fecretary of ftate. LONICERA, Honeysuckle, in botany : A ge¬ nus of the monogynia order, belonging to the pen- tandria clafs of plants. The corolla is monopetalous and irregular; the berry polyfpermous, bilocular, and inferior. Species. 1. The alpigena, or upright red-berried honeyfuckle, rifeswitha fhrubby, ffiort, thick, upright Item, branching ftrong and eredtly' four or five feet high ; largilh, fpear-lhaped leaves, in pairs oppofite; and from the fides of the branches many red flowers by two’s on long, footftalks, each fucceeded by two red berries joined together at their bafe ; it flowers in Au- guft, and the berries ripen in autumn. 2. The casru- lea, or blue-berried upright honeyfuckle, rifes with a Ihrubby upright Item, branching moderately three or four feet high, with many white flowers proceeding from the fides of the branches ; appearing in May, and fucceeded by blue berries joined together at their bafe. 3. The nigra, or black-berried upright honeyfuckle, rifes with a ihrubby ftem branching three or four feet high, with white flowers fucceeded by Angle and di- ftindt black-berries. 4. The tartarica, or Tartarian honeyfuckle, rifes with a ftirubby upright ftem, branch¬ ing ereiftly three or four feet high ; heart-(haped, op¬ pofite leaves, and whitifli erefl; flowers fucceeded by red berries, fometimes diftinft, and fometimes double. 5. The diervilla, or yellow-flowered Arcadian honey¬ fuckle, rifes with ffirubby upright ftalks, branching ereft to the height of three or four feet; the branches terminated by clufters of pale yellow flowers, appear¬ ing in May and June, and fometimes continuing till au- tuipn i but rarely ripening feeds here. 6. The xylo- fteum, or fly honeyfuckle rifes with a ftrong ftirubby ftem, branching erect to the height of feven or eight feet; with erect white flowers proceeding from the fides of the branches ; each fucceeded by large double red berries, joined together at their bafe. The flowers ap¬ pear in June,and the berries ripen in September. 7.The fymphoricarpos, or ftirubby St Petcr’s-wort, rifes with a ftirubby, rough ftem, branching eredt four or five feet high, with fmall greenifti flowers appearing round the ftalk in Auguft. 8. The periclymenum, or common climbing honeyfuckle, hath two principal varieties, viz. The Englifti wild honeyfuckle, or woodbine of our woods and hedges, and the Dutch or German honey¬ fuckle. The former rifes with ftirubby, weak, very long flender ftalks, and branches trailing on the ground, or climbing round any fupport; all terminated by oval imbricated heads, furniftiing fmallifti flowers of white or red colours, and appearing from June or July till autumn. The Dutch honeyfuckle rifes With a Ihrubby decimated ftalk, and long trailing purplifti branches, terminated by oval imbricated heads, furnifliing large beautiful red flowers of a fragrant odour, appearing in June and July. 9. The caprifolium, or Italian honey¬ fuckle, rifes with ftirubby decliflated ftalks, fending out long flender trailing branches, terminated by verticil- late or whorled buncjie of clofe-fitting flowers, very fragrant, and white, red, and yellow colours. 10. The fempervirens, or evergreen trumpet-flowered honey- O o fuckk, LOO [290] LOP I.onf’ate facklc. rifes with a fiirubby decimated ftalk, fending II out long flender trailing branches, terminated by naked ooni‘ verticillate fpikes, of long, unreflexed, deep fcarlet flowers, very beautiful, but of little fragrance. Culture. The moft eafy method of propagating thefe plants is by layers or cuttings, efpecially the lat¬ ter; both of thefe readily emit roots, and form plants in one year fit for tranfplantation. Some forts are al- fo propagated by fuckers and feed. LONSDALE, or Kirkby Lonsdale, a town of Weftmoreland, feated on the river Lon, in a pleafant and rich valley of the fame name. It is a large well- built town, has a handfome church, and a fine ftone- bridge over the river. It is well inhabited ; and is the belt town in the county except Kendal. It gives title of Earl to the Lowther family. W. Long. 2. 27. N. Lat. 54. jo. LOO, a town of the United Provinces, in Guelder- fcmd, eight miles weft of Deventer, where the prince of Orange has a fine palace. E. Long. 6. o. N. Eat. 52. 18. LOOF, the after part of a {hip’s bow ; or that part of her fide forward where the planks begin to be incur- vated into an arch as they approach the ftem. Loop, or Luff. See Luff. LOOK-OUT, in the fea-language, a watchful at¬ tention to fome important objeft or event which is ex- pefted to arife from the prefent fituation of a ftn'p, &c. It is principally ufed in navigation when there is a probability of danger from the real or fuppofed proxi¬ mity of land, rocks, enemies, and, in fhort, whatever peril fhe may encounter through inattention, which might otherwife have been avoided by a prudent and neceflary vigilance. There is always a look-out kept on a (hip’s fore- caftle at fea, to watch for any dangerous obje&s lying near her track, and to which (he makes a gradual ap¬ proach as file advances: the mate of the watch accord¬ ingly calls often from the quarter-deck, “Look outafore there ! ” to' the perfons appointed for thisfervice. LOOKING-glasses, are nothing but plain mir¬ rors. of glafs ; which, being impervious to the light, refleft the images of things placed before them. See * the articles Mirror and Optics. • For the calling, grinding, and polilhing of looking- glaffes, fee the article Glass. For foliating of looking-glaffes. See the article Foliating. LOOL, in metallurgy, a vefiel made to receive the wafhings of ores of metals. The heavier or more me¬ talline part of the ores remain in the trough in which they are wafhed ; the lighter and more earthy run off with the water, but fettle in the look LOOM, the weaver’s frame; a machine whereby ■feveral diftinft threads are woven into one piece. Looms are of various ftructures, accommodated to the various kinds of materials to be woven, and the various manner of weaving them; v'vx.. for woollens, filks, linens, cottons, cloths of gold : and other works, as tapeftry, ribbands, Hackings, &c. divers of which will be found under their proper heads. See Weaving-. The weaver’s loom-engine, otherwife called the Dutch loom-engine, was brought into ufe from Hol¬ land to London, in or about the year 1676. Heir-LooMi in law. See Ham-Loom, Loom, at fea. If a Ihip appears big, when at a Loom diftance, they fay fire looms, or*appears a great fail: H the term is alfo ufed to denote the indiicinit appear- Loph"19'. ance of any other dillant objects. * * LooM-gale, at fea, a gentle eafy gale of wind, in which a (hip can carry her top-fails a-trip. LOOP, in the iron works, is a part of a fow or block of caft iron broken or melted off from the reft, and prepared for the forge or hammer. The ufual method is, to break off the loop of about three quar¬ ters of a hundred weight. This loop they take up with their flinging-tongs, and beat it with iron fledges upon an iron plate near the fire, that fo it may not fall to pieces, but be ‘in a condition to be carried un¬ der the hammer. It is then place-d under the hammer, and a little water being drawn to make the hammer move but foftly, it is beat very gently, and by this means the drofs and foulnefs are forced off, and after this they draw more and more water by degrees, and beat it more and more till they bring it to a four-fquare mafs, of about two feet long, which they call a bloom. LOOPING, in metallurgy, a woul ufed by the ’miners of fome counties of England, to exprefs'the running together of the matter pf an ore into a mafs, in the roafting or firft burning, intended only to cal¬ cine it fo far as to make it fit for powdering. This accident, which gives the miners fome trouble, is ge¬ nerally owing to the continuing the fire too long in this procefs. LOOSE-strife. See Lysimachia. LOOSA, in botany: A genus of the monogynia order, belonging to the polyandria clafs of plants. The calyx is pentaphyllous, fuperior ; there are five fub- ovate, cucullated, and large petals ; the nedtarium con- lifts of five leaves, gathered into a conical figure, each terminated by two filaments ; the capfule is turbinated, unilocular, and trivalved at top; the feeds are very numerous ; and there are three linear and longitudinal finufes. LOPES le vega. See Vega. LOPEZ, or Indian, Root, in the materia medica. The plant to which this article belongs is unknown- Neither the woody nor cortical part of the root has any remarkable fenfible quality. A flight bitternefs is perceptible ; and it is recommended, like fimurouba,. in diarrhoeas even of the colliquative kind, in half¬ dram dofes four times a-day. Little of this root has been brought to Europe : but fome of thofe who have had an opportunity of employing it, fpeak in very high terms of the effe&s obtained from it. LOPHIUS,Fishing-frog, Toad-ffh, or Sea-devil; a genus of the hranchioftegious order of fifties, whole head is in fize equal to all the reft of the body. There are three fpecies ; the moft remarkable of which is the pifeatorius, or common fiftiing-frog, an inhabitant of the Britifti feas. This Angular fifti was known to the ancients by the name of and rana; and to us by that of the Ji/hing-frog, for it is of a figure re- fembling that animal in a tadpole ftate. Pliny takes- notice of the artifice ufed by it to take its prey 1 Eminentia fub oculis cornicula turbato limo exerit, affultan- tes pifciculot attrahens, donee turn prope accedunt, ut affiliat. “ It puts forth the flender horns it has beneath its eyes, enticing by that means the little fifti to play round, till they come within reach, when it fpringo- , LOR C 291 ] LOR Loih'm* on tliem.” The hflung-frog growg to a large fize, I! fome being between four and five feet in length; and Mr I out Pennant mentions one taken near Scarborough, whofe ~ T mouth was a yard wide. The fiihermen on that coaft have a great regard for this fifh, from a fuppofition that it is a great enemy to the dog»fi{h ; and whenever they take it with their lines, fet it at liberty. It is a fifh of very great deformity : the head is much bigger than the whole body; is round at the circumference, and fiat above ; the mouth of a pro¬ digious widenefs. The under jaw is much longer than the upper: the jaws are full of {lender fharp teeth : in the roof of the mouth are two or three rows ■of the fame : at the root of the tongue, oppofite each other, are two bones of an elliptical form, thick fet, with very ftrong {harp teeth. The noftrils do not appear externally, but in the upper part of the mouth are two large orifices that ferve inilead of them. On each fide the upper-jaw are two {harp fpines, and others are fcattered about the upper part of the head. Imme- diately above the nofe are two long tough filaments, and on the back three others; thefe are what Pliny calls cornkula, and fays it makes ufe of to attradl the little fifh.. They feem to be like lines flung out for that end. Along the edges of the head and body are a multitude of fhort fringed Ikins, placed at equal di- llances. The aperture to the gills is placed behind ; each of thefe is very wide, fo that fome writers have imagined it to be a receptacle for the young in time of danger. The body grows flender near the tail, the end of which is quite even. The colour of the upper part of this fifh is dulky, the lower part white 5 the {kin fmooth. LORANTHUS, in botany : A genus of the mo- tiogynia order,belonging to the hexandria clafsof plants; •and in the natural method ranking under the 48th or¬ der, Aggregate. The germen is inferior ; there is no oalyx ; the corolla is fexfid and revoluted ; the ftamina arC at the tops of the petals ; the berry is monofpermous. There i - only one fpecies, a nalive of America, dif- covered by Father Plumier, and found growing natu¬ rally at La Vera Cruz by Dr Houfton. It rifes with a ihrubby {talk, eight or ten feet high, dividing into feveral branches, having at their ends clutters of fmall fcarletfcoloured flowers, fucceeded by oval berries with a pulpy covering, and a hard fliell with one cell, in- clofing feveral comprefied feeds. It is propagated by -feeds, which fhould be fown foon after they are ripe ; otherwife they are very apt to mifcarry, or lie a year in the ground without germinating. The plants require always to be kept in a bark-ftove. LORARII, among the Romans, officers whofe b u fine is it was, with whips and fcourges, 'to compel the gladiators to engage. The lorar'ii alfo punifhed (laves who difobeyed their matters. LORD, a title of honour given to thofe who are noble either by birth or creation. In this fenfe, it amounts to much the fame as peer of the realm, or lord of parliament. The title is by cotirtefy alfo given to all the fons of dukes and marquifes, and to the eldeft fons of earls : and it is alfo a title of honour be¬ llowed on thofe who are honourable by their employ¬ ments ; as lord advocate, lord chamlerlain, lord chan- cillor, SsV. The word is Saxon, but abbreviated from -two fyliables-into one ; for -it was originally Illaford, which by dropping the afpiration becartve Laford, Ford, and afterwards by contraftion Lord. “ The etymo- -v—* logy of the word (fays J. Coates) is well worth ob- ferving; for it was compofed of illaf “ a loaf of bread,” and ford “ to give or afford fo that///a- ford, now Lord, implies “ a giver of breadbecaufe, in thofe ages, fuch great men kept extraordinary houfes, and fed all the poor; for which reafon they were called givers of bread, a thing now much outer date, great men being fond of retaining the title* but few regarding the pra&ice for which it was firtt given. See Lady. Houfe of Lords, one of the three eftates of parlia¬ ment, and compofed of the Lords Spiritual and Tem¬ poral. 1. The Spiritual Lords confift of 2 archbifliops and 24 biffiops; and, at the diffolution of monatteries by Henry VIII.' confifted likewife of 26 mitred abbot* and two priors: a very confiderable body, and in thofe times equal in number to the temporal nobility. All thefe hold, or are fuppofed to hold, certain ancient baronies under the king : for William the Conqueror thought proper to change the fpiritual tenure of frank¬ almoign or free-alms, under which the bifhops held their lands during the Saxon government, into the feodal or Norman tenure by barony ; which fubje&ed their eftates to all civil charges and affeffments, from which they were before exempt; and irt right of fuc- ceffion to thofe baronies, which were unalienable from their refpeftive dignities, the biffiops and abbots were allowed their feats in the houfe of lords. But though thefe lords fpiritual are in the eye of the law a diftinct eftate from the lords temporal, and are fo diftinguiffied in moft of our afts of parliament; yet in pradlice they are ufually blended together under the name o£the lords; they intermix in their votes, and the majority of fuch intermixture joins both eftates. And from this want of a feparate affembly, arid feparate negative of the prelates, fome writers have argued very cogently, that the lords fpiritual and temporal are now in reality only- one eftate : which is unqueftionably true in every ef- fedftual fenfe, though the ancient diftinftion between them ttill nominally continues. For if a bill ffiould pafs their houfe, there is no doubt of its validity, tho' every lord fpiritual ffiould vote againft it; of which Selden and Sir Edward Coke give many inftances : as, on thf other hand, doubtlefs fit would be equally good, if the lords temporal prefent were inferior to the bi- fliops in number, and every one of thofe temporal lords gave his vote to rejeft the bill; though this Sir Edward Coke feems to doubt of. 2. The Temporal Lords Confift of all the peers of the realm, {the bifliops not being in ftri&nefs held to be fuch, but merely lords of parliament), by whatever title of nobility diftinguiffied ; dukes, marquifes, earls, vifeounts, or barons f. Some of thefe fit by defeent, tSee AV as do all ancient peers ; fome by creation, as do all4'^* new-made ones; others, fmee the union with Scotland, by elerition, which is the cafe of the 16 peers, who reprefent the body of the Scots nobility. Their num¬ ber is indefinite, and may be increafed, at will by the power of the crown 4 and once, in the reign of Queen Anne, there was an inftance of creating no lefs than 12 together; in contemplation of which, in the reign of King George I. a bill paffed the houfe of lords, and LOR [ 292 ] LOR I.ord. was countenanced by the then minlflry, for limiting the number of the peerage. This was thought by fome to promife a great acquifition to the conftitution, by reftraining the prerogative from gaining the afcen- dant in that augufl affembly, by pouring in at plea- fure an unlimited number of new-created lords. But the bill was ill relifhed, and mifearried in the houfe of commons, whofe leading members were then defirous to keep the avenues to the other houfe as open and eafy as peffible. The diftin&ion of ranks and honours is necefiary in every well-governed ftate: in order to reward fuch as are eminent for their fervices to the public, in a manner the moll defirable to individuals,andyetwithoutburthen to the community ; exciting thereby an ambitious yet laudable ardour and generous emulation in others. And emulation, or virtuous ambition, is a fpring of adlion wdiich, however'dangerous or invidious in a mere repu¬ blic or under a defpotic fway, will certainly be attended with good effedls under a free monarchy ; where, with¬ out deilroying its exillence, its excefles may be conti¬ nually reftrained by that fuperior power from which all honour is derived. Such a fpirit, when nationally diffufed, gives life and vigour to the community; it fets all the wheels of government in motion, which,- under a wife regulator, may be diredled to any bene¬ ficial purpofe ; and thereby every individual may be made fubfervient to the public good, while he prin¬ cipally means to promote his own particular views. A body -of nobility is alfo more partictilarly neceffary in our mixed and compounded conftitution, in order to fupport the rights of both the crown and the people, by forming a barrier to withftand the encroachments of both. It creates and preferves that gradual fcale of dignity which proceeds from the peafant to the prince ; rifing like a pyramid from a broad founda¬ tion, and diminilhing to a point as it rifes. It is this afcerding and contrafting proportion that adds liabi¬ lity to any government; for when the departure is fudden from one extreme to another, we may pro¬ nounce that ftate to be precarious. The nobility therefore are the pillars, which are reared from among the people, more immediately to fupport the throne ; and, if that falls, they mull alfo be buried under its ruins. Accordingly, when in the laft cen¬ tury the commons had determined to extirpate mo¬ narchy, they alfo voted the houfe of lords to be ufelefs and dangerous. And fince titles of nobility are thus expedient in the ftate, it is alfo expedient that their owners Ihould form an independent and feparate branch of the legiflature. If they were confounded with the mafs of the people, and like them had only a vote in electing reprefentatives, their privileges would foon be borne down and overwhelmed by the popular torrent, which would effedtually level all diftindlions. It is therefore highly neceffary that the body of nobles flrould have a diftinil affembly, diftinft deliberations, and diftinft powers from the commons. See alfo K.ing,Nobility, Earliament,Commons,aWCom- MONALTY. As to the peculiar laws and cufloms relating to the houfe of lords: One very ancient privilege is that de¬ clared by the charter of the foreft, confirmed in parlia¬ ment 9 Hen. III.; viz. that every lord fpiritual or Icmooralfummoned to parliament, and paflxng through the king’s forefts, may, both in going and returning, Lord kill one or two of the king’s deer without warrant; H in view of the forefter if he be prefent, or on blowing oretto> a horn if he be abfent; that he may not feem to take y the king’s venifon by Health. In the next place, they have a right to be attended, and conftantly are, by the judges of the court of king’s-bench and common-pleas, and fuch of the barons of the exchequer as are of the degree of the coif, or have been made ferjeants at law; as likewife by the king’s learned cOunfel, being ferjeants, and by the mafters of the court of chancery ; for their ad¬ vice in point of law, and for the greater dignity of their proceedings. The fecretaries of ftate, with the attorney and folicitor genefal, were alfo ufed to attend the houfe of peers, and have to this day {.together with the judges, &c.) their regular writs of fummons iffued out at the beginning of every parliament, ad traciandum et conjilium impendendum, though not ad confcntiendum : but, whenever of late years they have been members of the houfe of commons, their at¬ tendance here hath fallen into difufe. Another privilege is, that every peer, by licence obtained from the king, may make another lord of parliament his proxy, to vote for him in his abfence i A privilege, which a member of the other houfe can by no means have, as he is himfelf but a proxy for a multitude of other people. Each peer has alfo a right, by leave of the houfe, when a vote paffes contrary to his fentiments, to en¬ ter his diffent on the journals of the houfe, with the reafons for fuch diffent; which is ufually ftyled his proteft. All bills likewife, that may in their confequences any way affedl the rights of the peerage, are by ths cuilom of parliament to have their firit rife and be¬ ginning in the houfe of peers, and to fuffer no changes or amendments in tire houfe of commons. There is alfo one ftatute peculiarly relative to the houfe of lords; 6 Ann. c. 23. which regulates the election of . the 16 reprefentative peers of North Britain, in confequence of the zzd and 23d articles of the union : and for that purpofe prefcribes the oaths, &c. to be taken by the electors; diredts the mode of balloting; prohibits the peers electing from being at¬ tended in an unufual manner ; and exprefsly provides, that no other matter Ihall be treated ©f in that affembly,, fave only the election, on pain of incurring a praemu¬ nire. See alfo the articles Nobility and Peers. LORDOSIS, (of MfSoc, bent inwards), in the me¬ dical writings, a name given to a diftempered ftate of the fpine, in which it is bent inwards, or toward the anterior parts. It is ufed in oppofition to gibbous, or hump-backed. See Surgery- LORETTO, a town of Italy, in the Marca or Marche of Ancona, with a bifhop’s fee. It is fmall, but fortified; and contains the famous caja fanta, or holy chapel, fo much vifited by pilgrims. This cha¬ pel, according to the legend, was originally a fmall houfe in Nazareth, inhabited by the virgin Mary, in which flie was faluted by the angel, and where (he bred our Saviour. After their deaths, it was held in great veneration by all believers in Jefus, and at length confecrated into a chapel, and dedicated to the virgin; upon which occafion St Luke made that identical image* . LOR [ 293 T LOR I*oretto. image, which is ftill preferved here,'and dignified with “"■■'V""” the name of our Lady of Loretto. This fandtifted edifice was allowed to fojourn in Galilee as long as that diftridf was inhabited by Chriftians; but when infidels got poffelfion of the country, a band of angels, to fave it from pollution, took it in their arms, and conveyed it from Nazareth to a caftle in Dalmatia. This fact might have been called in queftion by incredulous people, had it been performed in a fecret manner; but, that it might be manifeft to the moft fhort-fighted fpeclator, and evident to all who were not perfedtly deaf as well as blind, a blaze of celeftial light, and a ' concert of divine mufic, accompanied it during the whole journey ; befides, when the angels, to reft them- felves, fet it down in a little wood near the road, all the trees of the foreft bowed their heads to the ground, and continued in that refpeftful pofture as long as the facred chapel remained among them. But, not having been entertained with fuitable refpedl at the caftle above mentioned, the fame indefatigable angels carried it.©ver the fea, and placed it in a field belonging to a noble lady called Lauretta, from whom the chapel takes its name. This field happened unfortunately to be fre¬ quented at that time by highwaymen and murderers : a circumftance with which the angels undoubtedly were not acquainted when they placed it there. After they were better informed, they removed it to the top of a hill belonging to two brothers, where they imagined it would be perfectly fecure from the dangers of rob¬ bery or aflaffination; but the two brothers, the pro¬ prietors of the ground, being equally enamoured of their new vifitor, became jealous of each other, quar¬ relled, fought, and fell by mutual wounds. After this fatal cataftrophe, the angels in waiting finally moved the holy chapel to the eminence where it now Hands, and has flood thefe 400 years, having loft all reliih for travelling. The facred chapel Hands due eaft and weft, at the farther end of a large church of the moft durable ftone of Iftria, which has been built around it. This may be confidered as the external covering, or as a kind of great coat to the cafa fanta, which has a fmaller coat of more precious materials and workmanftup nearer its body. This internal covering or cafe is of the choiceft marble, after a plan of San -Savino’s, and ornamented with baffb relievos, the workmanlhip of the beft fculptors which Italy could furnifti in the reign of Leo X. The fubjeft of thofe balfo relievos are, the hiftory of the bleffed virgin, and other parts of the Bible. The whole cafe is about 50 feet long, 30 in breadth, and the fame in height ; ,but the real houfe itfelf is no more than 32 feet in length, 14 in breadth, and at the fides about 1.8 feet in height; the centre of the roof is four or five feet higher. The walls of this little holy chapel are compofed of pieces of a reddilh fubftance, of an oblong-fquaxe ihape, laid one upon another, in the manner of brick. At firft fight, on a fuperficial view, thefe red-coloured oblong fubftances appear to be nothing elfe than common Italian bricks ;; and, which is ftill more extraordinary, on a fecond and third view, with all pofiible attention, they ftill have the fame appearance. Travellers, however, are affured, with great earneftnefs, that there is not a fingle par¬ ticle of brick in their whole compofition, being en¬ tirely of a ftone, which, though it cannot now be found in Paleftine, was formerly very common, parti- I-oretto, cularly in the neighbourhood of Nazareth. v The holy houfe is divided within into two unequal portions, by a kind of grate-work of lilver. The di- vifion towards the weft is about three-fourths of the whole ; that to the eaft is called the Sanctuary. In the larger divifion, which may be confidered as the main body of the houfe, the walls are left bare, to £how the true original fabric of Nazareth ftone; for they mull not be fuppofed to be bricks. At the lower or weftern wall there is a window, the fame through which the angel Gabriel entered at the An¬ nunciation. The architraves of this window are co¬ vered with filver. There are a great number of gol¬ den and filver lamps in this chapel: one of the former, a prefent from the republic of Venice, isfaid to weigh 37 pounds, and fome of the filver. lamps weigh from 120 to 130 pounds. At the upper end of the largeit room is an altar, but fo low, that from it you may- fee the famous image which Hands over the chimney in the fmall room or fanctuary. Golden and filver angels, of conliderable fize, kneel around her, fome. offering hearts of gold, enriched with diamonds, and one an infant of pure gold. The wall of the fanc¬ tuary is plated with filver, and adorned with cruci¬ fixes, precious Hones, and votive gifts of various kinds^ The figure of the Virgin herfelf by no means corre- fponds with the fine furniture of her houfe : She is a little woman, about four feet in height, with the fea¬ tures and complexion of a negro. Of all the fculp¬ tors that ever exifted, afluredly St Luke, by whom this figure, is faid to have been made, is the leaft of a flatterer; and nothing can be a ftronger proof of the blefled Virgin’s contempt for external beauty, than her being fatisfied with this reprefentation of her. The figure of the infant Jefus, by St Luke, is of a piece with that of the Virgin.: he holds a large golden globe in one hand, and the other is extended in the act of blefling. Both figures have crowns on their heads,. enriched with diamonds : thefe were prefents from Ann of Auftria queen of France. Both arms of the Virgin are inclofed within her robes, and no part but her face is to be feen ; her drefs is moil magnificent, but in, a wretched bad tafte : this is not furprifing, for flic has no female attendant. She has particular clothes for the different feafts held in honour of her, and, which is not quite, fo decent, is always dreffed and undreffed by the priefts belonging to the chapel; her robes are ornamented with all kinds of precious Hones down to the hem of her garment. There, is a fmall place behind the fandtuary, in which are fhown the chimney, and fome other furni¬ ture, which they pretend belonged to the Virgin when (he lived at Nazareth; particularly a little earthen porringer, out of which the infant ufed.to eat. The pilgrims bring rofaries,. little crucifixes, and Agnus Dei’s, which the obliging prieft ftiakes for half a mi¬ nute in this dilh ; after which it is believed they ac¬ quire the virtue of- curing various difeafes, and prove an. excellent preventative of .all, temptations of Satan. The gown which the image had on when the chapgl arrived from Nazarethis of red camblet, and carefully kept in a glafs ftirine. Above 100 maffes are daily faid in this chapel, and in the church in which it Hands. The jewels and riches..; 1 OR [ 294 ] LOR r «reth> riches to tw feen at any one time in the holy chapel 1 '—v ‘ are 0f fmall value in comparifon of thofe in the trea- fury, which is a large room adjoining to the veftry of (he great church. In the prefles of this room are kept thofe prefents which royal, noble, and rich bigots of all ranks, have, by opprefiing their fubjefts and injuring their families, lent to this place. To enume¬ rate every particular would fill volumes. They confift of various utenfils and other things in filver and gold ; as lamps, candlefticks, goblets, crowns, and crucifixes ; lambs, eagles, faints, apoftles, angels, virgins, and infants: then there are cameos, pearls, gem's, and pre- •cious ftones, of all kinds and in great numbers. What is valued above all the other jewels is, the miraculous pearl, wherein they affert that Nature has given a faithful de¬ lineation of the Virgin fitting on a cloud with the in¬ fant Jefus in her arms. There was not room in the prefles of the treafury to hold all the filver pieces which have been prefented to the Virgin. Several other prefles in the veftry are completely full. It is faid that thofe pieces are occafionaliy melted down by his holinefs for the ufe of the ftate ; and alfo that the moft precious of the jewels are picked out and.fold for the fame pufpofe, falfe ftones being fubftkuted in thoiv room. Pilgrimages to Loretto are not fo frequent with fo- •Teigners, or with Italians of fortune and diftinftion, as formerly ; nineteen out of twenty of thofe who make this journey now are poor people, who depend for their maintenance on the charity they receive on the road. To thofe who are of fuch a rank in life as precludes them from availing themfelves of the cha¬ ritable, inftitutions for the maintenance of pilgrims, fuch journeys are attended with expence and inconve- niency ; and fathers and hufbands, in moderate or con¬ fined circumftances, are frequently brought to difagree- able dilemmas, by the rafh vows of going to Loretto which their wives or daughters are apt to make on any fuppofed deliverance from danger. To refufe, is con- fidered by the whole neighbourhood as cruel, and even impious ; and to grant, is often highly diftrefling, par¬ ticularly to fuch hulbands as, from affedtion or any other motive, do not choofe that their wives Ihould be long out of their fight. But the poor, who are maintained during their whole journey, and have no¬ thing more than a bare maintenance to expeft from their labour at home, to them a journey to Loretto is a party of pleafure as well as devotion, and by much the moft agreeable road they can take to heaven. The greateft concourfe of pilgrims is at the feafons of Eafter and Whitfuntiite. The rich travel in their carriages : A greater number come on horfcback or on mules; or, what is ftill more common, on affes. Great num¬ bers of females come in this manner, with a male friend walking by them as their guide and prote&or ; but the greateft number of both fexes are on foot. The pilgrims on foot, as foon as they enter the fuburbs, begin a hymn in honour of the Virgin, which they continue till they reach the church. The poorer fort are received into an hofpital, where they have bed and "board for three days. The only trade of Loretto confifts of rofaries, cru¬ cifixes, little Madonas, Agnus Dei’s, and medals, which are manufactured here, and fold to pilgrims. There are great numbers of Ihqps full of thefe com¬ modities, fome of them of a high price } but infinite- borettO- ly the greater part are adapted to the purfes of the buyers, and fold for a mere trifle. The evident po^ yerty .of thofe manufa&urers and trader*, and of the inhabitants of this town in general, is'a fufficient proof that the reputation of our Lady of Loretto is greatly on the decline. In the great church which contains the holy chapel are confeflionals, where the penitents from every coun¬ try of Europe may be don felled in their ertvn language, priefts being always in waiting for that purpofe : each of them has a long white rod in his hand, with which he touches the heads of thofe to whom he thinks it proper to give abfolution. They plaee themfelves on their knees in groupes around the confefiional chair ; and when the holy father has touched their heads with the expiatory rod, they retire, freed from the burden of their fins, and with renewed courage to begin a frefh account. In the fpacious area before this church there is an elegant marble fountain, fupplied with water from an adjoining hill by an aquedudt. Few even of the moil inconfiderable towns of Italy are without the ufeful ornament of a public fountain. The embellilhments of fculpture and architecture are employed with great propriety on fuch works, which are continually in the people’s view ; the air is refrelhedand the eye delight¬ ed by the ftreams of water they pour forth; a fight peculiarly agreeable in a warm climate. In this area there is alio a ftatue of Sixtus V. in bronze. Over the portal of the church itfelf is a ftatue of the Vir¬ gin ; and above the middle gate is a Latin infeription, importing, that within is the houfe of the mother of God, in which the Word was made flelh. The gates of the church are likewife of bronze, embelliftied with baflb relievos of admirable wbrkmanlhip ; the fubjeCts taken partly from the 01:1 and partly from the New Teftament, and divided into different compartments. As the gates of this church are Ihut at noon, the pil¬ grims who arrive after that time can get no nearer the fanla cafa than thefe gates, which Are by this means fometimes expofed to the firft violence of that holy ardour which was deligned for the chapel itfelf. All the fculpture upon the gates which is within reach of the mouths of thofe zealots, is in fome degree'effaced by their kiffes. There are alfo feveral paintings to be feen here, fome of which are highly efteemed, particularly two in the treafury. The fubjeCt of one of thefe is the Virgin’s Nativity, by Annibal Carracci ; and of the other, a Holy Family, by Raphael. There are fome others of confiderable merit which ornament the altars of the great church. Thefe altars, or little chapels, of which this fabric contains a great number, are lined with marble and embelliihed by fculpture ;.but nothing within this church interefts a traveller of fenfibility fo much as the iron grates before thofe chapels, which were made of the fetters and chains of the Chriftian flaves, who were freed from bondage by the glorious vidlory of Lepanto. The place where the governor reftdes ftands near the church, and the eccleiiaftics who are employed in it lodge in the fame palace, where they receive the pilgrims of high diftin&ion. The environs of this town are very agreeable, and in fine weather the high mountains LOR [ 295 ] LOR iarka mountains of Croatia may be feen from hence. It is it feated on a mountain, in E. Long. 13. 50. N. Lat. Jfrr.e. 43. 24. LORICA, was a cuirafs, brigantine, or coat of mail, in ufe among the Roman foldiers. It was ge¬ nerally made of leather, and is fuppofed to be derived from lorum.—The loricae were fet with plates of metal in various forms ; fometimes in hooks or rings like a chain, fometimes like feathers, and fometimes like the fcales of ferpents or fifhes, to which plates of gold were often added. There were other lighter cuiraffes confifting only of many folds of linen cloth, or of flax made ftrong enough to refill weapons. Such foldiers as were rated under 1000 drachms, inflead of the lo- rica now defcribed, wore a pectorale.—The Roman lo- rica was made like a. lhirt> and defended the wearer 'both before and behind, but was fo contrived that the back part could be occafionally feparated from the front. Some of the lories were made of cords of hemp or flax, clofe fet together; whence they are called thoraces, lilices, trilites. See. from the number of the cords fixed one upon another ; but thefe were ufed rather in hunting than in the field of battle. LORICATION, or coating* in chemiliry, is the covering a glafs or earthen vefiel with a coat or cruft of a matter able to refill the fire, to prevent its breaking in the performing an operation that requires great violence of fire. See Chemistry. LORIS, in zoology. See Lemur. LORIMERS, one of the companies of London, that make bits for bridles, fpurs, and fuch like fmall iron ware. They are mentioned in llatute 1 Rich. II. c. 12.—The word feems derived from the Latin word lorum, “ a thong.” LORME (Philibert de), one of the moll celebra¬ ted architedls in the 16th century, was born at Lyons. Queen Catherine de Medicis gave him the fuperinten- dance of buildings; and he had the diredlion of thofe of the Louvre, the Thuilleries, the caftle of St Anet, St Germains, and other edifices ere£led by her orders. Pie wrote feveral books of archite.dlure, which are e- fteemed ; and died about the year 1.577. LORNE, a divifion of Argylefliire in Scotland, which gives the title of marquis to the duke of Argyle. It extends above 30 miles in length from north to fouth, and about nine at its utmoft breadth ; bounded on the call by Braidalbin ;. on the weft, by the illands ; on the north, by Lochaber; and is divided from Knap- dale on the fouth by Loch Etive, on the banks of which Hands the caftle of Bergomarn, wherein the courts of juftice were anciently held. This diftricl, abounding with lakes, is the moll pleafant and fertile part of Argylelhire, producing plenty of oats and barley. It once belonged to the ancient family of Macdougal, Hill refiding on the fpot; but devolved to the lords of Argyle in confequence of a marriage with the heirefs, at that time a branch of the Stuart, family. The chief place of note in this di ft rift-is the. caftle of Dunftaffnage, a feat of the Scottifti kings previous to the conqueft of the Pi6l? in 843 by Ken¬ neth II. In this place was long preferved the famous ftone, the palladium of North Britain ; brought, fays legend, out of Spain, where it was firft ufed as a feat of juftice by Gathelus, coeval with Mofes. It con¬ tinued here as the coronation-chair till the reign of Kenneth II. who removed it to Scone, in order to fe- enre his reign j for, according to the infeription, Ni Jail at fittum, Scoti juocunque locatum Invcnient lapidem, regnart tei.iimtur ibidem. Some of the ancient regalia were preferved till the pre¬ fen t century, when the keeper’s fervants, during his infirm years, embezzled them for the filver ornaments y and left only a battle-axe, nine feet long, of beautiful workmanfhip, and ornamented with filver. The caftle is fquare ; the infide only 87 feet 5 partly ruinous, partly habitable. At three of the corners are round towers ; one of them projects very little. The entrance is towards the fea at prefent by a ftair- cafe, in old times probably by a draw-bridge, which fell from a little gate-way. The mafonry appears very ancient; the tops battlemented. This pile is feated on a rock at the mouth of Loch Etive, whofe waters expand within to a beautiful bay, where ftiips may fafely ride in all weather. Of this building, the foun¬ der of which is unknown, nothing remains except the outer walls, which, though rooflefs, are ftill in good- order ; and within which feme buildings have been ere£led, which ferve as the refidence of the laird. The duke of Argyle is hereditary keeper under the Crown.—At a fmall diftance from the caftle is a ruined chapel, once an elegant building; and at one end an inclofure, a family-cemetery. Qppofite to thefe is a high precipice, ending abrupt and turning fuddenly toward the fouth-eaft. A perfon concealed in the re- cels of the rock, a little beyond the angle, furprifes friends ftationed at fome diftance beneath the precipice with a very remarkable echo of any word, or even : fentence, he pronounces; which- reaches the laft di- ftin6l and unbroken. The repetition is fingle, but re¬ markably clear. In 1307, this caffle was poftefled by Alexander Macdougal lofd of Argyle, a friend to the Englilh ; - but was that year reduced by Robert Bruce, when Macdougal fued for peace with that prince, and was- received into favour. We find, aboi4 the year X475, this to have been a refidence of the lords of the ifles; for here James kill earl of Douglas, after his defeat in Annandale, fled to Donald, the regulus of the time, and prevailed on him to take arms and carry on a plundering war againft his monarch James II. The fituation of this regal feat was calculated for pleafure as well as ftrength.. The views of mountains, valleys, waters, and illands, are delightful. On the north fide of Loch Etive Hood the town of Berego- mum, fuppofed to have been the capital of the Well Highlands. It feems, from certain mounds, excava¬ tions, and other appearances, to have been a ftrong fort re fr., to prevent invafron, or to fecure a retreat, as occafions might require. On the bank of the fame loch is the iite of Ardchattan, a priory of monks of Vallifcaullium in Burgundy, founded in 1230-by Do¬ nald Maccoul, aneeftcr of the Macdougals of Lorn. Here Robert Bruce* who remained mailer of this country before he got entire pofieftlon of Scotland, held a parliament- or council.—The country abounds in Druidical,. Danilh, and other monuments. LORRAIN, a fovereign Hate of Europe, bounded, on the north byLuxemburg and the archbilhoprick of; Treves, on the call by Alface and the duchy of Deur. Pouts* LOT [ 296 ] LOT I.orrain, Fonts, on the fonth by Franche Comte, and on the . vveft by Champagne and the duchy of Bar. It is about ' * 100 miles in length, and 75 in breadth; and abounds in all forts of corn, wine, hemp, flax, rape-feed, game, and filh, with which it carries on fome trade, and in general all the neceflaries of life. There are fine mea¬ dows and large forefts, with mines of iron, filver, and copper, as alfo falt-pits. There are a great number of rivers ; of which the principal are the Maefe or Meufe, the Mofelle, the Seille, the Meure, and the Sarre. It is .divided into three parts; the duchy of Terrain, properly .fo called, which was heretofore a fovereign ftate ; the duchy of Barr, which formerly be¬ longed to the dukes of Lorrain, but afterwards came under the government of France; and the third com¬ prehends the three bifhoprics of Metz, Toul, and Verdun, which have belonged to France ever fince the year 1552. In 173?, the emperor of Germany being at war with France, this laft got pofieffion of the duchy of Lorrain; and when there was a peace made in 1735, it was agreed, that Staniflaus king of Poland, father- in-law to the king of France, ftiould poflefs thefe du¬ chies, and that after his death they fliould be united for ever to the crown of France. It was alfo then agreed, that Francis Stephen, duke of Lorrain, and -the emperor’s fon-in-law, ftiould have the grand duchy of Tufcany as an equivalent for Lorrain. After the death of the great duke of Tufcany, in 1737, King Staniflaus and the duke of Lorrain took pofleflion of their refpeftive dominions, and the ceffation was con¬ firmed and guarantied by a treaty in 1738. The inha¬ bitants are laborious and valiant, and their religion is the Roman Catholic. They have but little trade with Grangers, becaufe they have no navigable rivers, and becaufe they have all neceflaries within themfelves ; but what little trade they have confifts of corn and linen cloth. Nanci is the capital town. Lorrain (Robert le), an eminent fculptor, born at Paris in 1666. From his infancy, he made fo ra¬ pid a progrefs in the art of defrgning, that at the age of 18 the celebrated Girardon intrufted him with the * care of teaching his children and corre&ing his difei- ples.' He committed to him alfo, in conjunttion with Nouliflbn, the execution of the famous tomb of Car¬ dinal Richelieu in the Sorbonne, and his own tomb at St Landres in Paris. On his return from Rome, he finifh- ed ieveral pieces at Marfeilles, which had been left im- perfeft by the death of Mr Puget. He was received into the academy of fculpture in 1701. His chief d'allure is Galatea, a work univerfally admired. Lor¬ rain afterwards made a Bacchus for the gardens at Verfailles, a Faun for thofe of Marly; and feveral bronzes, among which is an Andromeda ; all in an excellent tafte. This artift fucceeded chiefly in heads; and more particularly in that of young girls, which he performed with incomparable delicacy and truth. Lorrain (Claude.) See Claude. LOTEN (John), a good landfcape painter of the Englifli fchool; though a native of Switzerland. His tafte led him to folemn and dreary feenes, as land- ftorms accompanied with ftiowers of rain, &c. and he feldom omitted to introduce oak-trees in his profpeCts: his landfcapes are generally large ; and he painted with nature, truth, and force. But the effect of his com- pofition had been much greater if he had been lets cold N° 188. '3 in his colouring: for the judicious eye is not pleafed with the darkiih tint that predominates in it. He * died in London about 1681. LOTHIAN, a name given to three counties of Scotland, viz. Haddington-lhire, EdinbUrgh-fhire, and Linlithgow-fhire; otherwife called Eajl, Mid, and Wejl Lothians. 1. Eaft Lothian, or Haddington-ftnre, is bounded on the north-weft by the Frith of Forth ; and on the eaft by the German Sea; on the fouth-eaft by Ber- wickfhire; and on the weft by the county of Edin-. burgh. It extends about 25 miles from eaft to weft, and where broadeft, nearly 15 from north to fouth. The coaft, advancing northward into the Frith, forms an irregular curve.—This is one of the moft fruitful counties in Scotland, producing great quantities of wheat and all forts of grain, welLwatered, and plen¬ tifully fupplied with fifh, fowl, fuel, and all the ne¬ ceflaries of life. It abounds with towns, villages, and farms, interfperfed with a great number of agree¬ able houfes belonging to perfons of rank and fortune. For cultivation, populoufnefs, and fertility, this {hire may vie with any trail of land in the ifland of Great. Britain. Over and above the farming, which turns out to great account, the people towards the fea-coaft employ themfelves in the fiftiery, falt-making, and in foreign trade; and fome of the more inland inhabitants engage in the linen and woollen manufactures. Lime- ftone and coal are found in moft parts of the country, and great numbers of (beep are fed on the hills of Lammermuir. 2. Edinburgh-lhire, or Mid-Lothian, is about miles long, but varies in its breadth in different places, from five to 16 miles. It is bounded on the eaft by Haddington-fhire ; on the weft by the {hire of Lin¬ lithgow ; on the fouth, by Tweeddale or Peebles-lhire ; and on the north, by part of Weft-Lothian and the Frith of Forth. The afpedl of the country is in ge¬ neral level and pleafant, interfperfed with a few hills, that help to exhibit agreeable profpedls. It is well watered with rivers, and {haded with woods. It produces plenty of coal, lime-ftone, a foft black marble, and fome copper ore. The foil, of itfelf fer¬ tile, is finely cultivated, and yields as plentiful harvefts of excellent wheat as are found in any part of Great Britain. The whole {hire is interfperfed with noble houfes and plantations belonging to noblemen and gentlemen of fortune. The farmers are matter of the fcience of agriculture ; and wealthy in confequence of their .{kill, fome of them paying 5001. of yearly rent. The country is Well inhabited, and prefents us with a good number of towns and populous villages. Along the fea-coaft the common people fubfift by filhing, and traffic in coals and fait, and fome few carry on a fmuggling commerce. Thofe in the inland are em¬ ployed in farming, and fome branches of the weaving manufadture. The fheriffalty of this {hire is in the gift of the crown ; and Edinburgh is a county in it¬ felf. 3. The {hire of Linlithgow, or Weft Lothian, is bounded on the north by the Frith of Forth. The fmall river Almond divides it from Edinburghihire on the eaft. On the fouth-weft it joins the county of Lanerk ; and on the weft it is parted from Stirling- fture by Avon, a fmall river. Its form, though ir¬ regular. LOT [ 297 ] LOT l,otion regular, approaches to a parallelogram. It meafures in the years 1567 and 1568. It was at firft intended l! from porth-eaft to fonth-weft, nearly 20 miles. Its to haVe been drawn at the houfe of Mr Dericke, her t Lottery- breadth, except on the (here of the Frith, does not ex- majefty’s fervant (/. c. her jeweller), but was afterwards v "L ceed.12.—The country is pleafant and fertile, abound- drawn as above mentioned. ing with com and palhirage. Here is found plenty Dr Rawlinfon fliowed the Antiquary Society, 1748, of coal, limeftone, and lead ore ; nay, in the reign “ A propofal for a very rich lottery, general without of James VI. it produced a rich mine of filver. any blankes, contayning a great number of good prizes, LOTION, is, llriclly fpeaking, fuch walking as as well of redy money as of plate and certain forts of concerns beautifying the Ikin, by cleanfing it of thofe merchandizes, having been valued and prifed by the deformities which a diftempered blood throws upon commandment of the queene’s moll excellent majeftie’s it. Medicines of this kind, however, are for the moll order, to the entent that fuch commodities as may part infignificant, and fometimes very dangerous; the chance to arife thereof after the charges borne may be only proper method of treating thefe diforders is, by converted towards the raparations of the havens and admhiillering fuch medicines as tend to corredi the ftrength of the realme, and towards fuch other public taorbid Hate of the conftitution from whence they arife. good workes. The number of lotts lhall be foure Lotiom, in pharmacy, denotes a preparation of hundred thoufand, and no more ; and every lott lhall medicines, by walking them in fome liquid, either be the fum of tenne Ihillings llerling, and no more, tnade very light, fo as to take away only the dregs; To be filled by the feall of St Bartholomew. The or lharp, fo as to penetrate them, in order to clear Ihew of prifes are to be feen in Cheapfide, at the fign of them of foibe fait, 'or corrofive fpirit as is done to an- the Queene’s Armes, the houle of Mr Dericke, gold- timony, precipitates, magilleries, &c. or intended to fmith, fervant to the queene. Some other orders about take away fome foulnefs or ill quality, or to com- it in 1567-8. Printed by Hen. Bynneyman.” municate fome good one.. “ In the year 1612, king James, in fpecial favour LOTAPHAG1 (anc. geog.), a people of the Re- for the prefent plantation of Englilh colonies in Vir- gio Syrtica (fo called from their living on the lotus); ginia, granted a lottery, to be heldut the well end of inhabiting between the two Syrtes, from the Ciny- St Paul’s ; whereof one Thomas Sharplys, a taylor of phus to the Triton. The lotus was faid to be a food London, had the chief prize, which was 4000 crowns fo lufcious, as to make ftrangers forget their native in fair plate.” Baker’s Chronicle, country. A fvveet wine was exprefied from it, which In the reign of queen Anne, it was thought necef- did not keep above'ten days, (Pliny). Lotophagi of fary to fupprefs lotteries^ as nuifances to the public. Homer. See Meninx. Since that time, however, they have been licenfed by an LOTTERY, a kind of public game at hazard, ad of parliament, under various regulations. The ad frequent in Britain, France, and Holland, in order to palled in 1778 reftrains anyperfon from keeping an of- raife money for the fervice of the Hate; being ap- fice for the fale of tickets, lhares, or chances, or far buy- pointed with us by the authority of parliament, and ing, felling, infuring, or regillering, without a licence managed by commiffioners appointed by the lords of for which licence each office-keeper mull pay 50I. to con- the tfeafury for that purpofe. It confilts of feveral tinue in force for one y'ear, and the produce to be numbers of blanks and prizes, which are drawn out of applied towards defraying the expences of the lottery, wheels, one of which contains the numbers, and the And no perfon is allowed to fell any (hare or chance other the correfponding blanks or prizes. lefs than a fixteenth, on the penalty of 50I. All The Romans invented lotteries to enliven their Sa- tickets divided into lhares or chances are to be depo- turnalia. This feftival began , by the diftribution of filed in an office, to be eltablilhed in London by tire tickets which-gained fome prize. Augullus made commiffioners 'of the treafury, who are to appoint a potteries \vhich confilted of things of little value; perfon to condudl the bufinefs thereof; and all fhares Tut Nero eftablilhed fome for the people, in which are to be ftamped by the faid officer, who is to give toco tickets were diltributed daily, and feveral of a receipt for every ticket depdfited with him. The thofe who were favoured by Fortune got rich by them, numbers of all tickets fo depofited are to be entered Heliogabalus invented fome very fingular: the prizes in a book, with the names of the owners, and the were either of great value or of none at all; one gain- number of /hares into which they are divided ; and ed a prize of fix /laves, and Another of fix flies ; fome twopence for each /hare is to be paid to the officer on got valuable vafes, and others vafes of common earth, depoiiting- fuch tickets, who is therewith to pay all A lottery of this kind exhibited an excellent picture expences incident to the office. All tickets depofited of the inequality with which Fortune dillributes her ip the, office are to remain there three days after the favours. drawing. And any perfon keeping an office, or fell- The fit ft Englifti lottery we find mentioned in hi- ipg /hares, or who/hall publilh any fcheme for receiving ftory was drawn A. D. 1569. It confifted of 40,000 moneys in confideration of any intereft to be granted, lots, at 1 os. each lot: the prizes were plate; and. the in any ticket in the faid lottery', &c. without being in profits were to go towards repairing the havens of pofle/fion of fuch ticket, /hall forfeit 500I. and fuSer this kingdom. It was drawn at the Weft door of St three months imprifonment. And no bufihefsis to be Paul’s cathedral. The-drawing began on-the nth of tranfafted at any of the offices after eight in the even- January 1569, and continued inceflantly drawing, day ing, except on the evening of the Saturday preceding and nighty till the 6th of May following ; as Mait- the drawing. No perfon is to keep any office for the land, from.Stowe, informs us in his Hi/lory, Vol. I. fale of tickets, &c. in Oxford or Cambridge, on pe-. p. 2 57. There were then only three lottery-offices in nalty of 20I. Before this regulating ftatute took London. The propofals for this lottery were publi/hed place, there were upwards of 400 lottery offices in Vol. X. Part i. Pp and Lotus. LOT and about London only ; but the whole number after- wards, for all Britain, as appeared by the lift publiih- ed by authority, amounted to no more than 51. LOTUS, or bird’s-foot trefoil, in botany : A genus of the decandria order, belonging to the diadtl- phia clafs of plants; and in the natural method rank¬ ing under the 32d order, Papillonace*. The legumen is cylindrical, and very ereft; the aloe doling upwards longitudinally; the calyx is tubulated. There are many fpecies, but only five or fix are ufually cultiva¬ ted in our gardens. 1. The tetragonolobus, or- wing¬ ed pea, hath trailing, flender, branchy ftalks, about a foot long, garnilhed with trifoliate oval leaves; and, from the axillas of the brandies, large, papilionaceous red flowers, one on each footftalk; fucceeded by te- tragonous folitary pods, having a membranous wing or lobe, running longitudinally at each corner. It flowers in June and July, and the feeds ripen in autumn. 2. The creticus, or Cretan filvery lotus, hath a flender under fhrubby ftalk, riling by fupport three or four feet high, ornamented with trifoliate, bright, filvery leaves ; and branches terminated by feveral yellow flowers fucceeded by fubternate pods. 3. The Jaco- bseus, or lotus of St James’s ifland, hath upright her¬ baceous ftalks branching two or three feet high, and, from the upper part of the branches, long llender footftalks, terminated each by three or five yellowifli purple flowers, appearing moil part of the fummer and autumn, and fucceeded by fubternate pods filled with plenty - of feeds. 4. The hirfutus, or hairy Italian lo¬ tus, hath upright hairy ftalks branching a yard high ; and terminated by heads ofwhitifh hoary-cupped flowers appearing in June, which are fucceeded by oval pods full of feed, which ripens in autumn. 5. The dorcy- nium, white Auftrian lotus, or fhrub-trefoil of Mont¬ pelier, has underfhrubby fmooth ftalks, branching three or four feet high, and the branches terminated by a- phyllous heads of fmall white flowers appearing in June, fucceeded by fhort pods. 6. The edulis, fends forth feveral trailing ftalks about a foot long, furnifhed at their joints with trifoliate, roundifh, fmooth leaves, having oval flipulae. The flowers come fingly from the Tides of the ftalks, on long peduncles, with three oval floral leaves, the length of the flower: the latter is fmall, yellow’; and is fucceeded by a thick arched pod, having a deep furrow on its outfide. Culture, See. The firft fpecies is a hardy annual, and is eafily raifed from feed fown any time from the month of February to May ; the plants requiring no ether culture than to be kept free from w’eeds. It was formerly cultivated as an efculent; for-its young green feed-pods may be drefled and eat like peafe, or in the manner of kidney-beans. The other fpecies may be propagated either by feeds or cuttings, but require to be kept in pots in the green-hooife during the winter- feafon. The fixth fpecies is an annual, and a native of feveral parts of Italy, where the inhabitants eat the young pods as we do kidney beans. The green pods of the firft fpecies were formerly gathered in this country, and drdled in the manner of kidney beans,and are ufed . L o V fo ftill in feme of the northern counties of England ; but Lovs^e, they are coarfe, and not very agreeable to fuch as have LnVc- been accuftomed to feed upon better fare. ‘ ’ J Lo'ius tf Homer. See Diospyros. Egyptian Lotus. See Nymphjea, Libyan Lotus. See Rhamnus. LOVAGE, in botany. See Ligusticum. LOVE, in a large fenfe of the word, denotes all thofe affections of the pleafing kind which objects and incidents raife in us: thus w’e are faid to love not only intelligent agents of morally good difpofitions, but ai- fo fenfual pleafures, riches, and honours. But Love, in its ufual and more appropriate fignifica- tion, may be defined, “that affeCtion which, being compounded of animal defire, efteem, and benevolence, becomes the bond of attachment and union between in¬ dividuals of the different fexes; and makes them feel in the fociety of each other a fpecies of happinefs which they experience no where elfe.” We call it an affec¬ tion rather than a paffwn, becaufe it involves a defire of the happinefs of its objeft : And that its conftituent parts are thofe which have been juft enumerated, we ftiall firft endeavour to prove, and then proceed to trace its rife and progrefs from a felfifli appetite to a generous fentiment Animal ftefire is the aCtual energy of the fenfual ap¬ petite : and that it is an effential part of the complex affeCtion, which is properly called love, is apparent from this confideration, that though a man may have fentiments of efteem and benevolence towards women who are both old and ugly, he never fuppofes himfelf to be in love of any woman, to whom he feels not the fenfual appetite to have a llronger tendency than to other individuals of her fex. On ,the other hand, that - ’ animal defire alone cannot be called the affeCtion of love is evident; becaufe hs who gratifies fuch a defire with¬ out efteeming its objeCt, and vyifhing to communicate at the fame time that he receives enjoyment, loves not the woman,but himfelf. Mere animal defire has nothing in view but the fpecies and the fex of its objeCt; and before it make a feleCtion, it muft be combined with fentiments very different from itfelf. The firft fenti¬ ment with which it is combined, and by which a man is induced to prefer one woman to another, feems to be that by which we are delighted with gracefulnefs t>f perfon, regularity of features, and beauty of com¬ plexion. It is not Indeed to be denied that there ia fomething irrdiftible in female beauty. The molt fe- vere will not pretend, that they.do not feel an imme¬ diate prepoffeffion in favour of a handfome woman ; but this prepoffefiion, even when combined with ani¬ mal defire, does not conftitute the whole of that af¬ feCtion which is called love. Savages feel the influ¬ ence of the fenfual appetite, and it is extremely pro¬ bable that they have fome ideas of beauty; but among favages the afieCtion of love is feldom felt. Even among the lower orders in civil fociety it feems to be a very grofs paffion, and to have in it more of the felfifhnefs of appetite than of the generofity of efteem. To thefe ob- fervationa many exceptions will no doubt be found (a):. [ 298 ] but. (a) Such as the negroes whofe {lory is fo pathetically told by Addifon in N° 215 ef the Spectator; the two lovers who were killed by lightning at Staunton Haicourt, Auguit 9thv 1718, (ite Popes Letters) ; ami many others, which, will occur to every reader.. L O V [ 299 1 L O V Lore, but we fpeak of farages in general, and of the great body of the labouring poor, who in the choice of their mates do not ftudy—who indeed are incapable of ftu- dying, that reftitude of mind" and thofe delicacies of ferument, without which neither man nor woman can deferve to be efteemed. In the favage ftate, and even in the firft ftages of refinement, the bond of union between the fexes feems to confift of nothing more than mere animal defire and inftinftive tendernefs for their infant progeny. The former impels them to unite for the propagation of the fpecies; and the latter preferves the union till the children, who are the fruit of it, be able to pro¬ vide for their own fubfiftence. That in fuch unions, whether cafual or permanent, there is no mutual efteem and benevolence, is apparent from the ftate of fubjec- tion in which women are held in rude and uncultiva¬ ted nations, as well as from the manner in which mar¬ riages are in fuch nations contrarited. Sweetnefs of temper, a capital article with us in the female chara&er, difplays itfelf externally in mild looks and gentle manners, and is the firft and perhaps the moft powerful inducement to love in a cultivated mind. “ But fuch graces (fays an ingenious writer*) * Hifiorlare fcarce difcernible in a female favage; and even Maa.y in the moft polilhed woman would not be perceived by a male favage. Among favages, ftrength and bold- nefs are the only valuable qualities. In thefe, females are miferably deficient; for which rcafoti they are contemned by the males as beings of an inferior order. The North American tribes glory in idlenefs : the drudgery of labour degrades a wan in their opinion, and is proper for 'women only. To join young perfons in marriage is accordingly the bufinefs of the parents; and it would be unpardonable meannefs in the bride¬ groom to fhow any fondnefs for the bride. In Guiana a woman never eats with -her hujband, but after every meal attends him with water for walhing ; and in the Caribbee iflands Ihe is not permitted to eat even in the prefence of her hufband. Dampier obferyes in general, that among all the wild nations with which he was ac¬ quainted, the women carry the burdens, while the men walk before and carry nothing but their arms; and that women even of the higheft rank are not better treated. In Siberia, and even in Ruffia, the capital excepted, men till very lately treated their wives in every refpeft like Daves. It might indeed be thought, that animal defire, were there nothing elfe, ftiould have raifed women to fome degree of eftimation among men; but male favages, utter ftrangers to decency and re¬ finement, gratify animal defire with as little ceremony as they do hunger or thirft. “ Hence it was that in the early ages of fociety a man purchafed a woman to be his wife as one purchafes an ox or a flieep to be food ; and valued her only as file contributed to his fenfual gratification. Intlance* Love. innumerable might be colle&ed from every nation of /—J, which we are acquainted with the early hiftory; but we ftiall content ourfelves with mentioning a few. A- braham bought Rebekah and gave her to his fon IfaSc for a wife J. Jacob having nothing elfe to give, ferved 1 Gen. xxi. Laban tq years for two wivesf. To David, demand-fGen. xxixs ing Saul’s daughter in marriage, it was faid, “ The king defireth not any dowry, but an hundred forelkins of the Philiftines J.” In the Iliad Agamemnon offers j t c;arn< his daughter to Achilles for a wife; and fays that he xviii. 28, would not demand for her any price §. By the laws § Lib. ix. of Ethelbert king of England, a man who committed adultery with his neighbour’s wife was obliged to pay the hulband a fine, and to buy him another iY*tv,afW noAipi‘ioir. And, AkXo it TOI ipia, they could not fail to be refpe&ed by a race of heroes among whom courage took place of all other virtues : and this Angle circumftance, from whatever caufe it might proceed, will fufficiently account for the eftimation of the female chara&er among the ancient Germans and Caledonians, fo different from that in which it has been held in al- moft every other barbarous nation. But if among favages and the vulgar, love be un¬ known, it cannot poffibly be an inftinCtive affeeftion : and therefore it may be alked, How it gets poffeffion of the human heart; and by what means we can judge whether in any particular inftance it be real or imagi¬ nary ? Thefe queftions are of importance, and deferve to be fully anfwered j though many circumftances con- fpire to render it no eafy talk to give to them fuch an- fwers as (hall be perfe&ly fatisfadtory. Love can fub- fift only between individuals of the different fexes. A man can hardly love two women at the fame time ; and [ 300 T L O V [ 301 3 L O V t ^oVC- and we Lelieve that a woman is fl.il! left capable of lv- fare is combined with the gratification of the fenfual 5''ove- v “ ving nt once more than one man. Love, therefore, has appetite, it is obvious that the fum of enjoyment muft a natural tendency to make men and women pair, or, be greatly increafed-. The perception of beaut r in other words, it is the fource of marriage: but in therefore, neceifarily direfts the energy of the fenfual polifhed fociety, where alone this affettion has any appetite to a particular object; but ifill this combina- place, fo many things befides mutual attachment are tion is a mere fclfifh feeling, which regards its object: neceffary to make the married life comfortable, that only as the bejl of many fumlar inftruments of pleafure we rarely fee young perfons uniting from the impuife Before it can deferve the name of love, it mult be coml of love, and have therefore but few opportunities of bmed with elteem, which is never bellowed but ud tracing the rife, progrefs, and- confequences of the af-" moral character and internal worth ; for let a woman feftion. We lhall, however, throw together fuch re- be ever fo beautiful, and of courfe ever fo defirable as fledlions as have occurred to us on the fubjeii, not an inilrument of fenfual gratification, if fhe be not without indulging a hope, that they may be ufeful to poffelfed of the virtues and difpofitions which are pe- the younger part of our readers when forming the culiar to her fex, Ihe will infpire no man with a e- " moll important connexion in life. rous affe6tion. With regard to the outlines indeed* We have faid, that the perception of beauty, com- whether of internal difpolition or of external form* bined with animal defire, is the firlt inducement which men and women are the fame ; but nature intend- * a man can have to prefer one woman to another. It them for mates, has given them difpofitmns wlich* - may be added, that elegance of figure, a placid maf- though concordant, are, however, different ’ fo as to culine countenance, with a perfon which indicates produce together delicious harmony. “ The man0 ftrength and agility, are the qualities which firll tend more rebuff, is fitted for fevere labour, and for'field to attach any woman to a particular man. Beauty exercifes ; the woman, more delicate, is fitted for t By Pere has been definedt> “ That particular form, which is dentary occupations, and particularly’for nurfin/chffl Buffier in the melt common of all particular'forms to be met dren. The man, bold and vigorous, is qualified fo" his Firji. with in the fame fpecies of beings.” Let us apply being a protector | ; the woman, delicate4 and cn ,, i ‘Truths, ?n4this definition to our own fpecies, and try, by means requires protection. Hence it is, that a man ’ Man! * ** Reynolds* of it’ t0 afcerta':n ,what conftitutes the beauty of the admires a woman for poffeffmg bodffy ftreno-th o^Der-1" human face. It is evident, that of countenances we fonal courage ; and women always defnife mon J P s man never courage ; and women always defpife mSi^who^ find a number almoft infinite of different forms, of totally dellitute of thefe qualities. The man as a which forms one only conftitutes beauty, wliilft the tor>13 d‘re$eil by nature to govern the woman reft, however numerous, conftitute what is not beauty, ous of inferiority,is difpofed to obey. Their intell Ct ^I but deformity, or uglinefs. To an attentive obferver, powers correfpond to the deftination of natin^ eMal however, it is evident, that of the numerous particular have penetration and folia judgment to fit the f^* forms of uglinefs, there is not one which includes fo governing; women have fufficient underfta d-^ many faces as are formed after that particular call make a decent figure under good government ^ ° which conftitutes beauty. Every particular fpecies of er proportion would excite dangerous rival fhi' heU^'' the an;m:il as well as of the vegetable creation, may be the fexes, which nature has avoided by V - 6 d to have a fixed or determinate form, to which, as different talents. Women have more imawin1”/’ ^ a cefttre, nature is continually inclining. C>r it may fenlibility than men, which make all their en’ ^ ^ be compared to pendulums vibrating in different di-< more exquifite; at the fame time that they areT1 tt^ re&ions over one central point; and as they . , . . y caSeHmmlL/ngit^^^^ ^ Certain!y the ^ t0 TW w/i 7gv v , r • , T- • tAnnfk’ bm to procureefteem to the female charac- 1 hat we do hie a canno, be denied. Every one is ter, the modelly peculiar to their fex is a very effentiaS confcious of a pleafing emotion when contemplating cireumftance. Nature hath provided them with it at beauty either m man or woman.; and when that plea- a defence againft the artful felicitations of the other’ L O V [ 302 1 L O V fex before marriage, and alfo'as a fupport of conjugal fidelity.” A woman, therefore, whofe difpofitions are gentle, delicate, and rather timid than bold, who is poffeffed of a large fhare of fenfibility and modefty, and whofe manners are foft and infinuating, mull, upon moral principles (fee Moral Philosophy), command the efteem and benevolence of every individual of the other fex who is poffelfed of found underltanding; but if her perfon be deformed, or not fuch as to excite fome degree of animal defire, fhe will attract no man’s love. In like manner, a man whofe moral character is good, whofe underftanding is acute, and whofe converfation is inftruttive, mult command the efteem of every fen- fible and virtuous woman; but if his figure be difa- greeable, his manners unpoliflred, his habits flovenly, and above all, if he be deficient in perfonal couragg, lie will hardly excite defire in the female breaft. It is only when the qualities which command efteem are, in the fame perfon, united with thofe which excite de- iire, that the individual fo accompliftied can be an ob¬ ject of love to one of the other fex ; but when thefe qualities are thus united, each of them increafes the other in the imagination of the lover. The beauty of bis miftrefs gives her, in his apprehenfion, a greater {hare of gentlenefs, modefty, and every thing which adorns the female character, than perhaps fixe really poffeffes ; whilft his perfuafion of her internal worth makes him, on the other hand, apprehend her beauty to be abfolutely unrivalled. To this theory an obje&ion readily offers itfelf, which it is incumbent upon us to obviate. Men and women fometimes fall in love at firft fight, and very often before they have opportunities of forming a juft cftimate of each other’s moral chara&er: How is this circumftance to be reconciled with the progreffive ge¬ neration of love ? We anfwer, By an affociation of ideas which is formed upon principles of phyfiogno- my. Every paffion and habitual difpofition of mind gives a particular caft to the conntenailce, and is apt to difcover itfelf in fome feature of the face. This we learn by experience; and in time, without any effort of our own, the idea of each particular caft of counte¬ nance comes to be fo clofely affociated in our minds with the internal difpofition which it indicates, that the one can never afterwards be prefented to our view without inftantly fuggefting the other to the imagi¬ nation. (See Metaphysics and Physiognomy). Hence it is that every man, who has been accuftomed to make obfervations, naturally forms to himfelf, from the features and lineaments of a ftranger’s face, fome opinion of his charafter and fortune. We are no fooner prefented to a perfon for the firft time, than we are immediately impreffed with the idea of a proud, a referved, an affable, or a good-natured man ; and upon our going into a company of abfolute ftrangers, our benevolence or averfion, our awe or contempt, rifes inftantly towards particular perfons, before we have heard them fpeak a word, or know fo much as their names or deiignations. The fame thing happens when we are prefented to the fair fex. If a woman, feen for the firft time, have that particular caft of countenance, and that expreffion of features, to which .we have affociated notions of gentlenefs, modejly, and other female virtues, ihe inftantly commands our eflscm; and if fhe have likewife fo much beauty as to make Love, her an object of particular defire, efteem and defire be- come fuddenly combined; and that combination con- ftitutes the affe&ion of love. Such, too, is the nature of all mental affociations, that each part of which they are compofed adds ftrength and vividnefs to the other parts; fo that, in the prefent inftance, delire makes us imagine virtues in the woman which her countenance perhaps does not indicate ; and the virtues which are there actually vilible, make us apprehend her beau¬ ty as more perfect than it is. The affection thus generated is more or lefs pure, and will be more or lefs permanent, according as the one or the other part of which it is compounded pre¬ dominates. “ Where defire of poffeffion || prevails over II Sketdet tf our efteem of the perfon and merits of the defirable ^an' object, love lofes its benevolent charadter : the ap¬ petite for gratification becomes ungovernable, and tends violently to its end, regardlefs of the mifery that muft follow. In that ftate love is no longer a fweet agree¬ able affedtion ; it becomes a felfifh, painful pallion, which, like hunger and thirft, produceth no happi- nefs but in the inftant of fruition ; and when fruition is over, difguft and averfion generally fucceed to defire. On the other hand, where efteem, founded on a virtu¬ ous character and gentle manners, prevails over animal defire, the lover would not for the world gratify his appetite at the expence of his miftrefs’s honour or peace of mind. He wifhes, indeed, for enjoyment; and to him enjoyment is more exquifite than to the mere fenfual lover, becaufe it unites fentiment with the grati¬ fication of fenfe; at the fame time that,fo farfrom being fucceeded by difguft or averfion, it increafes his bene¬ volence to the woman, whofe character and manners he efteems, and who has contributed fo much to his pleafure. Benevolence to an individual, having a ge¬ neral end, admits of acts without number, and is feldom fully accomplifhed. -Hence mutual love, which is compofed chiefly of efteem and benevolence, can hard¬ ly be of a fhorter duration than its objects. Frequent enjoyment endears fuch lovers to each other, and makes conftancy a pleafure t and when the days of fenfual en¬ joyment are over, efteem and benevolence will remain in the mind, making fweet, even in old age, the fo- ciety of that pair, in whom are collected the affections of hufband, wife, lover, friend, the tendereft affeCtions of human nature.” From the whole of this inveftigation, we think it appears, that the affection between the fexes which deferves the name of love, is infeparably connected with virtue and delicacy ; that a man of loofe morals cannot be a faithful or a generous lover ; that in the breaft of him who has ranged frnm woman to woman for the mere gratification of his fenfual appetite, de¬ fire muft have effaced all efteem for the female charac¬ ter ; and that, therefore, the maxim too generally re¬ ceived, “ that a reformed rake makes the belt huf¬ band,” has very feldom a chance to be true. We think it may likewife be inferred, that thoulands fan¬ cy themfelves in love who know not what love is, or how it is generated in the human breaft : and therefore we beg leave to advife fuch of our readers ; s may imagine themfelves to be in that ftate, to examine their own minds, with a view to difcover, whether, if the objeds of their love were old or ugly, they would ftill efteem x them L O V [ -303 1 L O V Love, them for the virtues of their chara&er, arul the pro- priety of their manners. This is a queftion which deferves to be well weighed by the young and the amorous, who, in forming the matrimonial connetkion, are too often blindly impelled by mere animal defire f Elements inflamed by .beauty. “ It may indeed happen!, after 9/Criticifm. the pleafure of gratifying that defire is gone 'and if not refined by efteem and benevolence, go it muft with a fwift pace), that a new bond of attachment may be formed upon more dignified and more lailing princi¬ ples ; but this is a dangerous experiment. Even fup- pofing good fenfe, good temper, and internal worth of every fort, yet a new attachment upon Inch quali¬ fications is rarely formed ; becaufe it commonly, or ra¬ ther always, happens, that fuch qualifications, the only folid foundation of an indiffbluble connection, if they did not originally make efteem predominate over ani¬ mal defire, are afterwards rendered altogether invi- fible by fatiety of enjoyment creating difguft.” Love, in medicine. The fymptoms produced by this palfion as a difeafe, according to medical writers, are as follow: The eye-lids often twinkle ; the eyes are hollow, and yet appear as if full with pleafure : the pulfe is not peculiar to the pafllon, but the fame with that which attends folicitude and care. When the object of this affection is thought of, particularly if the idea is hidden, thefpirits are confufed, the pulfe changes, and its force and time are very variable : in feme inftances, the perfon is fad and watchful; in o- thers, the perfon, not being confcious of his ftate, pines away, is flothful, and regardlefs of food; though the wifer, when they find themfelves in love, feek pleafant company and aCtive entertainments. As the force of love prevails, fighs grow deeper; a tremor af- fedts the heart and pulfe ; the countenance is alter¬ nately pale and red ; the voice is fuppreffed in the fauces ; the eyes grow dim ; cold fweats break out; fleep abfents itfelf, at leaft until the morning; the fecre- tions become difturbed ; and a lofs of appetite, a hec¬ tic fever, melancholy, or perhaps madnefs, if not death, conftitutes the fad cataftrophe. On this fub- jeft the curious may confult iEgineta, lih. iii. cap. 17. Oribat. Synop. lib. viii. cap. 9. or a treatife profeffed- ly written on love, as it is a diftemper, by James Fer- rard, Oxford, printed 1640. The manner of the Greeks and Romans were fimi- lar to each other in the affairs of love. They gene¬ rally made a difeovery of their paffion, by writing upon trees, walls, doers, &c. the name of their be¬ loved. They ufually decked the door of their dulci- nea with flowers and garlands, made libations of wine before their houfes, fprinkling the pofts with the fame liquor, as if the objedt of their affeftion was a real goddefs. For a man’s garland to be untied, and for a woman to compofe a garland, were held to be in¬ dubitable indications of their love. When their love was without fuccefs, they ufed fe- veral arts to excite affection in the objedt of their de¬ fire. They had recourfe. to inchantreffes, of whom the Theffalian were in the higheft eftimation.—The means made ufe of were moft commonly philtres or l6ve potions, the operation of which was violent and dangerous, and frequently deprived fuch as drank them . of. their reafon. Some of.the moft remarkable ingre¬ dients of which they were compofed were thefe : the Love, hippomanes, the jynx, infedts bred, from putrefadtion, Loventi- the filh remora, the lizard, brains of a calf, the hairs lium' f on the tip of a wolf’s tail, his fecret parts, the bones T ' of the left fide of a toad eaten with ants, the blood of doves, bones of fnakes, feathers of fcritch-owla, twifted cords of wool in which a perfon had hanged himfelf, rags, torches, reliques, a neft of fwallows bu¬ ried and familhed in the earth, bones fnatched from hungry bitches, the marrow of a boy familhed in the midft of plenty, dried human liver ; to thefe may be added feveral herbs growing out of putrid fubftances. Such were the ingredients that entered into the com- pofition of that infernal draught a lone potion. But, befides the philtres, various other arts were ufed to excite love, in which the application of certain, fubftances was to have a magical influence on the per¬ fon againft whom they levelled their Ik ill. A hysena’a udder worn under the left arm, they fancied would draw the affections of whatever woman they fixed their eyes upon. That fpecies of olives called and barley-bran made up into a pafte, and.thrown into- the fire, they thought would excite, the flame of love. Flour was ufed with the fame intention. Burning laurel, and melting wax, were fuppofed to have the like effeCt. When one heart was to be hardened, and another mollified, clay and wax were expofed to the fame fire together.' Images of wax were frequently jufed, reprefenting the perfons on whom they wilhed to make an impreffion ; and whatever was done to the fubftitute of wax, they imagined was felt by .the per¬ fon reprefented. Enchanted medicaments were often fprinkled on fome part of the houfe where the perfon reiided. Love-pledges were fuppofed to be of lingu¬ lar ufe and efficacy : thefe they placed under their threlhold, to preferve the affections of the owner from wandering. Love-knots were of lingular power, and the number three was particularly obferved in all they did. But no good effeCt was expefted, if the ufe of thefe things was not attended with charms or magical verfes and forms.of words. See Magic. Having mentioned their arts of exciting love, it may not be amifs to take notice, that the ancients ima- gmed, that love excited by magic might he allayed by more powerful fpells and medicaments, or by applying to demons moie powerful than thofe who had been concerned in. railing that paffion. But love infpired- without magic had no cure ; Apollo himfelf could find - no remedy, but cried out Hei mibi quod nullis amor eft medicabilis herbis. The antidotes againft love were generally agnus ca/lus, which hasthe power of weakeningthegenerativefacuity ; fprinklrng the dull in which a mule had rolled hcrfelf; tying toads in the hide of abeaft newly flain ; applyfino- amulets of. minerals or herbs, which were fuppofed of great efficacy in othev cafes; and invoking the affift- ance of the infernal deities. Another cure for love was bathing in the waters of the river Selemnus ; to • which we may add the lover’s leap,, or jumping down from the Leucadian promontory. Love-Apple. See Solanum. LGV.ENTINUM, or Luentinum, (anc. geog.) a town of the Demeta in Britain, near the month of the Tuerobis or.Tivy. Supppfed to have been after¬ wards L O U ' [ 3.04 ] LOU °* v^ards fwallowed up by an earthquake, and to have he was perfectly healed, after bathing m this lough JV' ‘ flood where is now the lake called Lin Savatan in about eight days. Hence that writer gives us another ftran Brecknocklhire. derivation of the name Locbneack, which (he fays) Lo 1 LOUGHBOROUGH, a town of Leiceilerihire feems to hint at this quality ; Neafg or Neas, m Iriih, in England, 1 to miles from London. It is the fe- lignifying a fore or ulcer,” which might not impro- cond town in the county, and was in the Saxons time baUy be corrupted into Neagh ; Hence he apprehends, a royal village. Its market is on Thurfday ; and its this lake was remarked at a much earlier period for fairs are on April 25th, May 28th, Auguft ill, and its healing property. As to its petrifying power, it November 2d. It has a large church, and a free is mentioned by Nenius, a writer of the 9th century, fchool; befides a charity fchool for 80 boys and ano- who fays, “ Eft aliud ftagnum quod facit ligna du- ther for 20 girls. It has been very much reduced by refeere in lapides. Homines autem findunt ligna, et fires ; but is ftill a very agreeable town, with rich mea- poll quam formaverunt, projiciunt in ftagnum, et ma- dow-ground, on the Fofi'e, which runs here almoft pa- nent in eo ufque ad caput anni, et in capite anni lapis rjdlel with the river Soar. The new canal has made invenitur, et vocatur ftagnum Lu^h-Echad\” Lough- the coal-trade here very extenfive. , Neach gives title of baron to the family of Skejfiig- LOUGHBRICKLAND, a fair and poll town of ton* Ireland, fituated in the county of Down, and province LOUGH-STRANGFORD, a lake of Ireland, of Ulfter, 58 miles from Dublin. The name figni- fituated in the county of Down and province of Ul- fies the lake of the fpeckL-d trouts ; and it was fo called fter. It takes its prefent name from a fmall port- from a lake near it, which abounds with thofe fifli. It town called Strangford, feated on the weft fide of the - confifts of one broad ftfeet, at the end bf which is narrow entrance into the fea. It was formerly knowir the parifh-church, faid to have been built by Dr Tay- by the name bf Lough-Cone or Lough-Coyne. It is a lor when bifhop of Dromore, foon after the Reftora- deep bay or inlet of the fea, about 17 miles long and tion. The linen manufacture is carried on here very four or five broad ; it goes weft as far as Downpatrick, extenfively ; and the town is a great thoroughfare, and north as far as Comber and Newtown, and by the. turnpike road from Dublin to Belfaft palling computation covers 25,775 acres, Irifli plantation through a red bog near it. The fairs are five in the meafure. It abounds with excellent filh, particularly year. fmelts ; and off the bar there is a periodical herring LOUQH-DERG, anciently Derg-ahhan,, i. e. “ the filhery in or about Auguft. The bar pr entrance river of the woody morafs,” from a river which iffues into this lough is about three miles below Strang-' but of this lake. This lough is fituated in the county ford. There is a long rock at the entrance in the of Donegal and province of'Ulfter in Ireland, and is middle of the paffage, dangerous to ftrangers on ac- famous for having in it the ifland that contains St count of the current 5 yet there is a broad paffage on Patrick’s pfirgatory, which is a narrow little cell, either fide, and deep water. The current here is very hewn out of the folid rock, in which a man could ftrong-md rapid, running at the rate of fix or feven fcarce Hand upright.—There is alfo a lake of this miles an hour. There are but few veffels that go name fituated between the counties of Galway and' higher up than Strangford. A good ma ly veffels Tipperary. bound up the channel put in here, if the wind is un- LOUGH-NEACH, a loch or lake of Ireland, fi- favourable to their paffage. The iflands in this lake tuated in the counties of Armagh, Down, Derry, and are numerous ; Dodlor Boat enumerates them at 260. Antrim, and province of Ulfter. It is the largeft in But from an a&ual furvey, made at the time Dr Smyth Europe, thofe of Ladoga, and Onega in Rulna, and wrote his hiftbry of that county, it appears, there that of Geneva in Switzerland, excepted; being 20 are 54 iiland^ fmall and great, known by particular miles long and 15 broad. The area of this lake is names, and many others namelefs; the contents of computed to be 100,000 acres. It is remarkableffor thefe 54 ifiands added together amount to 974 acres a healing virtue ; and likewife for petrifying wood, and an half. The great and profitable manufa&ure which is not only found in the water but in the ad- parried on in thefe ifiands, and the fiat ftony coafis jacent foil at a confiderable depth. On its fhores furrounding the lake, is the burning of fea-weed into- feveral beautiful o-ems have been difeovered. ' Its an» kelp, which employs a number of handstand has been cient name was Loch-eacha or Loch-Neacb, from loch, computed to produce to the feveral proprietors a neat « a lake,” and Neach, “ wonderful, divine, or emu- profit bf 10001. per annum and upwards. Four of nent.” Its petrifying powers are not inftantaneous, the ifiands here are called Swan ijlauds, from thenum- as feveral of the ancients have fuppofed, but require a ber of fwans that frequent them, long ferjes of ages to bring them to perfedion, and LOUIS, or Knight?of St Louis, the name of a appear to be occafioned by a fine mud or fand, which military order in France, inftituted by Louis XIV. in infinuates itfelf into the pores of *he wood, and which 1693. Their colours are of a flame colour, and pafi in procefs of time becomes hard like ftone. On the from left to right; the king is their grand mafter. Borders of this lake is Shane’s caftle, the elegant feat There are in it eight great croffes, and 24 comman- of the right honourable John O^Neil. Dr Smyth ders; the number of knights is not limited. At the feems to doubt whether the healing quality in this time of their iuftitution, the king charged his revenue lake is not to be confined to one fide of it, called the with a fund of 300,000 livres for the penfions of the fi/hing-banh; and he informs us, that this virtue was commanders and knights. "difeovertd in the reign of Charles II. in the inftance Louis, Lewis, Louis d'or, or Lewidore, a French of the fon of one Mr Cunningham, who had an evil coin, firftftruckin 1640,under the reign of LomsXIII. which .run on him in eight or ten places ; and notwith- and which has now a confiderable currency. See Handing all applications feemed incurable, at length Moxuv-Tsf/n A8t. n LOUISIANA, LOU [ 305 1 LOW uifiani LOUISIANA, a country in North-America,boundr ed dn the fouth by the gulph of Mexico, on the call by the river Miflifippi, on the weft by New Mexico, and on the north by an unknown country. It extends from the 29th to the 40th degree of north latitude, and from about the Both to the 96th, or 97th degree weft longitude from London, The climate of Loufiana varies according to the latitudes. The fouthern parts are not fo hot as thofe parts of Africa which lie under the fame parallel, and the northern parts are colder than the countries of Europe at the fame diftance from the pole: the caufes of which are fuppofed to be the thick forefts which over-run the country, and the great num¬ ber of rivers; the former preventing the fun from heat¬ ing the earth, and the latter fupplying it with moift vapours; befides the cold winds which come from the north over vaft tracts of land. They have bad weather1; but it never lafts long, for the rain generally falls ifi ftorms and fudden ftiowers; the air is wholefome, the inhabitants healthy, and they who are temperate live to a great old age. The country is extremely well wa¬ tered ; and almoft all the rivers that run through it fall into the Miflifippi, which difeharges itfelf into the gulph of Florida. LOUSE, in zoology. See Pediculus and Lice. LOUSY disease. See Medicine-AJiw. LOUTH, a town of Lincolnfhire in England, 156 miles from London. It is a town corporate; and one of the handfomeft and gayeft in the county, there being in it not only frequent aflemblies, concerts, &c. but even mafquerades. Here are feveral handfome houfes. From hence there is a canal to the fea at Til- ney, about eight miles. Befides a charity fchool for 40 children, it has a free fchool founded by Ed¬ ward VI. with a large church, and a fine fteeple, which fome think is as high as Grantham fpire, which is 288 feet high. Its markets are on Wednefday and Saturday, and its fairs on May 24th, and Auguft 16th. Louth, a county in the eaftern part of Ireland, which extends in the form of a bow or half-moon, on the fide of the ocean, being much longer than it is broad; it is bounded on the fouth and fouth-weft by the county of Eaft-Meath, on the north-weft by Mo¬ naghan, on the north by Armagh, and on the north- eaft by the bay of Carlingford, which parts it from the county of Down : it is watered by feveral fmall ri¬ vers which fall into the fea; and its fouth frontiers are watered by the river Boyne. Its chief towns are Dun¬ dalk and Carlinford ; unlefs we include Drogheda, a part whereof is in this county. It is the fmalleft county in_the kingdom ; but very fertile and pleafant, and abounding with many remains of antiquities, of which Mr Wright, in his Louthiaiia, has given a very ample defeription. It contains 111,180 Irilh planta¬ tion acres, 50 parifhes, 5 baronies, and 5 boroughs, and returns 10 members to parliament: it is about 22 miles long and 14 broad. Louth, a town in the above county, having a yearly fair. LOUVAIN, a city in the Auftrian Netherlands, in the province of Brabant, pleafantly feated on the river Dyle, in a plentiful and agreeable country. The walls are about eight or nine miles in circumference ; but they include feveral fields and vineyards. The caftle Hands Vol. X. Part I. on a high hill, furrounded with fine gardens, and has Louva'a. a charming profped all over the country: This town contains nine market places, 14 water-mills, I26ftreets, 16 ftone bridges, and feveral handfome palaces. The town-houfe is a venerable old building, adorned with ftatues on the outfide ; and the churches are very hand¬ fome, particularly the collegiate church of St Peter, but the principal ornament is the univerfity, founded only in 1426 by John IV. duke of Brabant, with the concurrence of Pope Martin V. It contains about 44 colleges, four of which are called Pedagogia. Thertf is in the number alfo an Englifh college of friars- preachers, which owes its eftablk'hment to the liberali¬ ties of Cardinal Philip Howard, brother to the duke of Norfolk, who, before he was raifed to the purple* had been private chaplain to Queen Catherine, con- fort to Charles II. The Irilh have like wife a femi* nary, creeled in part under the care of Eugenius Mat- theus, titular archbilhop of Dublin, anno 162 3, which re¬ ceives its appointments from the Propaganda at Rome^ Befides the above, there are two convents for the Irifh, one of Recalledts and the other of Dominicians, where divinity and the Mathefis are taught. In the laft century the number of fcholars exceeded 4000, but in the year 1743 the inhabitants amounted to 12,000, including 2000 ftudents only.—At the beginning of the 14th century, under John III. it flourilhed con- fiderably in the manlifa&ure of woollen cloth : 409 houfes were then occupied by fubftantial clothiers, wh® gave employment to an incredible number of weavers, fo great it is faid, that a bell was rung to prevent any injuries which the children in the ftreet might receivO from the crowd and hurry on their returning from work. In 1382, thefe weavers, however, took up arms, and rebelled againft their fovereign Prince Wenceflaus, throwing from the windows of the Town-hall i 7 of the aldermen and counfellors, and afterwards proceeded ta lay wafte great part of Brabant: but being befieged and reduced to great extremities, they fubmifiively im¬ plored his clemency : which was granted after the exe¬ cution of fome of the principal ringleaders. Thd weavers, the chief inftigators to this revolt, were ba- niflied, the greater part of whom took refuge in Eng¬ land ; where they firft introduced, or atleaft augment¬ ed very much, the woollen manufafture. The town, by this circumftance, being almoft depopulated, the univerfity was eltablilhed to fupply in fome meafure the lofs of the rebellious clothiers. Since that time the manufadture gradually declined, no cloth of any ac¬ count being made there at prefent. This impolitic ftep of the Duke Wenceflaus fent treafures to England, through the hands of thofe exiled people ; an import- ant leflbn to governors, that they fhoitld deal with, great precaution refpecting fuch ufeful members of the community. Upon the ruins of thefe looms was form¬ ed the cloth manufadlure of Limbourg, which is car¬ ried on with good advantage to this day. There is yet Handing at Louvain part of the old drapers-hall, now converted into four public fchools, where leftnres in di¬ vinity, philofophy, law, and phyfie, are given, and the public afts are made. Adjoining to the fchools is the univerfity library, which altogether compofe a large pile of building. Over the door of the chief entrance we read thefe words, Sapientia adijicavh Jibi domum. The principal church is collegiate, dedicated to Q^q St HOW r 306 1 LOW Lonys, St Peter, which had formerly three very large towers one are out at a time, it is always proper to carry a ^3-ow hell. with devated fpires, one confiderably higher than the gun ; as it is no Uncommon thing to fpy a hare when ' r r two collaterals ; thefe were blown down in the year re- on this expedition. corded by this chronogram, oMnla CaDVnt. Fromthe LOW (East), a town of Cornwall in England,, name of this church the burghers have acquired the 231 miles from London, in the poit-road from Ply- nick-name of Pctermen, whofe anceftors having clothed mouth. It is an ancient borough by prefeription, the hack by a noble woollen manufatture, the modern made a corporation by charter of queen Elifabeth, Petemen now compofe an ignoble mixture for the confifting of nine burgeffes (one of whom is yearly - belly, called after them, Peterman beer, a fort of whitifh . chofen the mayor), a recorder, aldermen, &c. ; and muddy ale, which they notwithftanding fend in large the mayor, magillrates, and freemen, who are about quantities to all parts of the country, as well as to 68, choofe the members ot parliament. This being ^Holland, by the canals. Louvain was anciently the a manor of the duchy of Cornwall, was Ivttled by capital of the province, long before Bruxelles had any king William on lord Somers, and is now held by the claim to that title. E. Long. 4. 40. N. Lat. 51. 12. corporation at the fee-farm rent of 20s. a-year. It is LOUYS, or Louis, (John), an engraver of con- feated pretty commodioully on a creek of the lea, over fiderable eminence, who flourilhed about the middle of which there is a large Hone bridge, fupported by 15 the 16th century. According to Bafan, he was a arches, which leads to Wcjl Low, Handing between native of Flanders. He learned the art of engraving two hills. The chief benefit which the inhabitants from Peter Soutman, at the time that Suyderhoef Hu- have is in their liihery. Here is a battery of four died under the fame maHer ; and his ufual Hyle of en- guns, and a fmall chapel. Its market is on Saturday, graving bears fome refemblance to that of his maHer’s. and it has two fairs in the year. One of his beH prints is, Diana, with her nymphs, repo- Low (Wejl), called alfo Port-Pigbam, a town of fing after the chafe ; a middling-fized plate, length wife, Cornwall, divided from EaH Low by a Hone bridge from Rubens. of 15 arches over the river Low, from whence both LOW-bell, in birding, a name given to a bell, by towns receive their name, as the river does from the means, of which they take birds in the night, in open lownefs of its current between its high banks. The champaign countries, and among Hubble, in O&o- corporation, by charter of queen Elifabeth, confitts ber. The method is to go out about nine o’clock at of 12 burgefles, one of whom is annually chofen might in a Hill evening, when the air is mild and the mayor, and, with the other burgeffes, has power to fun does not fhine. The low-bell fliould be of a deep choofe a Heward. Its members, whom it has fent to and hollow found, and of fuch a fize that a man may parliament ever fince the 6th of Edward VI. are elebt- conveniently carry it in one hand. The perfon who ed by the corporation and freemen, who are about carries it is to mak& it toll all the way he goes, as _ 60. There was a chapel of eafe here in the reign of nearly as may be, in that manner in which the bell on the neck of a flieep tolls as it goes on and feeds. There muff alfo be a box made like a large lanthorn, about a foot fquare, and lined with tin, but with one iide open. Two or three great lights are to be fet in this; and the box is to be fixed to the perfon’s breaff, with the open fide forwards, fo that the light may be caff forward to a great diffance. It will fpread as it goes out of the box ; and will diffin&ly Ihow to the pef- fon that carries it whatever there is in the large fpace of ground over which it extends, and confequently all the birds that rooff upon the ground. Two perfons muff follow him. who carries the box and bell, one on each fide, fo as not to be within the reach of the light to Ihow themfelves. Each of thefe is to have a hand- met of about three or four feet fquare, faffened to a long Hick or pole; and on whichever fide any bird is feea at rooff, the perfon who is neareff is to lay his net over it, and take it with as little noife as pofiible. When the net, is over the bird, the perfon who laid it is not to be in a hurry to take the bird, but muff Hay till he, who carries the light is got beyond it, that the motions may not be difeovered. The blaze of the light and the noife. of the bell, terrify and amaze the birds in fuch a manner that they remain Hill to be ta¬ ken ; but the people who are about the work muff keep the greateff quiet and flillnefs that may be. Some people are- fond of going- on this fcheme alone. The perfon then fixes the light box to his. breaff. and carries the hell in one hand, and the net in the other; the net in- this cafe may be fomewhat iinaUer, and the handle Ihorter, When more than 2 Henry VIII. which was afterwards converted into a town-hall; and the town lying in the parifh of Tal- land, the people go thither to church. The market is on Saturday, and fair on April 25. There is a pretty little harbour here ; near the mouth of which is a fmall ifiand called St George’s, which abounds with fea-pies. The river here is navigable for veffels of 100 tons. LOWER (Richard), an eminent Englilh phyfician in the 17th century, was born in Cornwall, and edur cated at Weffminffer-fchool and Oxford. He entered on the phyfic line ; and pra&ifed under Dr Thomas Willis, whom he inffrufted in fome parts of anatomy, efpecially when the latter was writing his Cerebri ana- tome. He, with Dr Willis, in 1674, difeovered the medicinal waters, at Affiop in Northamptonffiire; which, upon their recommendations, became very,much frequented. In 1666 he followed Dr Willis to Lonr don ; pra&ifed phyfic under him ; and became fellow of the royal fociety, and of the college of phyficians. In, 1669 he publilhed his. PradaLus de corde; and^ after, the death of Dr Willis in 1675, hewas effeemed the moff eminent phyfician, in London, Upon the breaking out of the Popifin plot , in 167%. fays Mr Wood in his Athernt Oxonienfts, he clofed with the Whigs,, fuppofing that party would carry all before them; but, being miffaken, he loff his credit and pra&ice. He died in 1691. LOWERING, among diffillefrs, a term ufed to exprefs the. debafing the Hrength of any fpirituous liquor, by mixing water with it. The Handard and marketable price of thefe liquors is fixed in regard to LOW [ 3°7 0 L O W a certain Itrength in them called proof} this is that ftrength which makes them, when thaken in a phial or poured from on high into a glafs, retain a froth or crown of bubbles for foitie time. In this ftate, fpirits tonfift of about half pune or totally inflammable fpirit, and half water i and if any foreign or home fpirits are to be expofed to fale, and are found to have that proof wanting, fcarce any body will buy it till it has been diftilled again and brought to that ftrength ; and if it is above that ftrength, the proprietor ufually adds water to it to bring it down to that ftandard. See the article Proof. . There is another kind of lowering among the re* tailers of fpirituous liquors to the vulgar, by reducing it under the ftandard proof. Whoever has the art of doing this without deftroying the bubble proof, which is eaiily done by means of fome addition that gives a greater tenacity to the parts of the fpirits, will de¬ ceive all that j udge by this proof alone. In this cafe, the beft way to judge of liquors is by the eye and tongue, and efpecially by the inllrument called Hy¬ drometer. LOWTH (William), D.D. a learned divine, born at London in 1661, was the fon of an apothecary, and took his degrees at Oxford. His eminent worth and learning recommended ' him to Dr Mew bilhop of Winchefter, who made him his chaplain, gave him two livings in Hampfhire, and conferred on him a prebend in the cathedral of Winchefter. He acquired an unufual ftiare of critical learning. Thus fituated in life, the labours of Mr Lowth appear to have been ftrictly confined within the limits of his own province, and applied folely to the peculiar duties of his func- tiori: yet, in order that he might acquit himfelf the better in theology, he had purfued his ftudies with a more general and extenfive view. Few were more deeply verfed in critical learning ; there being fcarcely any ancient author, Greek or Latin, profane or eccle- fiaftical, efpecially the latter, but what he had read with accuracy, conftantly accompanying his reading with critical and philological remarks. Of his col¬ lections in this way he was upon all occafions very communicative. Hence his notes on Clemens Alexan- drinus, which are to be met with in Potter’s edition of that father. Hence his remarks on Jefephvs, com¬ municated to Hudfon for his edition, and acknow¬ ledged in the preface : as alfo thofe larger and more numerous annotations on the Ecclefiaftical Hiftorians, inferted in Reading's edition of them at Cambridge, rhe author of Bibliotheca Biblica was indebted to him tor the fame kind of afiiftance. Chandler, late bifliop ot Durham, while engaged in his “ Defence of Chrifti- anity, from Hie Prophecies of the Old Teftament, a- gainft the Difqmrfe of the Grounds and Reaibns of the Chriftian Religion,” and in his “ Vindication of the Defence, in anfwer to The Scheme of Literal Pro¬ phecy confidered,” held a conftant correfpondence with lum, and confulted him upon many difficulties that occurred in the courfe of that work. The moft va¬ luable part of his character was that which leaft ap¬ peared in the eyes of the world, the private and re- tiredpart, that of the good Chriftian and the ul'eful panm-prieft. His piety, his-diligence, liis'hofpitali- ty and beneficence, rendered his life highly exem¬ plary, and greatly enforced his public exhortations. He married Margaret, daughter of Robert Pitt, Efq; of Blandford, by whom he had two fons and three daughters, (fee the next article). He died in 1732, and was buried by his own orders in the church-yard at Buriton. He publilhed, 1. A vindication of the divine authority and infpiration of the Old and New Teftaments ; 2. Directions for the profitable reading of the Holy Scripture; 3. Commentaries on the pro¬ phets ; and other works. Lowth (Robert), D. D. fecond fon of the pre¬ ceding Dr William Lowth, and bilhop fuccefiively of St David’s, Oxford, and London, was born on the 29th of November 1710, probably at Buriton in the county of Hants. He received the rudiments of his education in Whichefter college, where his fchool ex- ereifes were diftinguilhed by uncommon elegance; and having refided the requifite number of years in that feminary, in 1730 he fucceeded on the founda¬ tion at New College, Oxford. He took the degree of M. A. JuneS. 1737. Though his abilities mull have been known to thofe with whom he was connefted, he was not forward to appear before the world as a writer. At Oxford he continued many years impro¬ ving his talents, with little notice from the great, and with preferment fo fmall as to have at prefent efcaped the diftindt recolledtion of fome of his contempora¬ ries. He was not, however, fuffered to languilh for ever in obfeurity. His genius and his learning forced them- felves upon the notice of the illuftrious fociety of vyhich he was a member; and he was placed in a fta- tion where he was eminently qualified to Ihine. la •1741 he was elected by the univerfity to the profef- forlhip of poetry, re-eledted in 1743, and whilft he held that office he read his admiiT.ble ledtures De facra poefi Hebraorum. In 1744 bilhop Hoadley collated him to the redtory of Ovington in the county of Hants; added to it, nine years afterwards, the redtory of Fall Weedhay in the fame county ; and in the in¬ terim railed him to the dignity of archdeacon of Win¬ chefter. Thefe repeated favours he fome years after¬ wards acknowledged in the following manly and re- fpedtful terms of gratitude : “ This addrefs, My Lord, is not more necelfary on account of the fubjedt, than it is in refpedt of the author. Your Lordlhip, unfo- licited and unalked, called him from one of thofe col¬ leges to a ftation of the firlt dignity in your diocefe, and took the earlieft opportunity of accumulating your favour upon him, and of adding to that dignity a fuit- able fupport. Thefe obligations he is now the more ready thus publicly to acknowledge, as he is removed out of the reach of further favours of the like kind. And though he hath relinquilhed the advantages fo generoufly conferred on him, yet he lhall always efteem himfelf highly honoured in having once enjoyed the patronage of the great advocate of civil and religious liberty.” On the 8th of July 1754 the univerfity of Oxford conferred upon him the degree of D. D. by diploma; an honour which, as it is never granted but to diftin- .guilhed merit, was probably conferred on Mr Lowth in confequence of his prele&ions on the Hebrew poetry, which had then been lately publilhed. Having in 1749 travelled with Lord George and Lord Frederick Ca- vendilh, he had-a claim upon tlie patronage of the Qjl 2 De- LOW [ 308 ] LOW ®evonfti!re family ; and in 1755, the late duke being then lord lieutenant of Ireland, Dr Lowth went to that kingdom as his grace’s firft chaplain. Soon after this appointment he was offered- the bifhopric of Li¬ merick ; but preferring a lefs dignified ftation in his own country, he exchanged it with Dr Leflie, pre¬ bendary of Durham and redtor of Sedgefield, for thefe preferments. In November 1765 he was chofen F.R.S. In June 1766 he was, on the death of Dr Squire, preferred to the bifnopric of St David’s; which, in the Odtober following, he refigned for that of Oxford, vacant by the tranllation of bifitop Hume to Salifbury. In April 1777, he was tranfiated to the fee of Lon¬ don, vacant by the death of bifhop Terrick; and in 1783 he declined the offer of the primacy of all Eng¬ land. Having been long afflidted wit^ the ftone, and having long borne the fevereft fufferings of pain and ficknefs with the moft exemplary fortitude and refignation, this great and good man died at Fulham, Nov. 3. 1787 ; and on the 12th his remains were privately interred in a vault at Fulham church, near thofe of his prede- #effor. He had married in 1752, Mary, the daughter of Laurence Jackfon of Chrift-church, Hants, Efq{ by whom he had two fons and five daughters. His lady and two children only furvived him. His literary character may be eftimated from the value and the importance of his works; in the account of which we may begin with his PreleSions on the He¬ brew Poetry. The choice of fo interefting a fubjedl naturally attradled general attention; and the work has b?en read with equal applaufe abroad and at home. In thefe prelections the author has acquitted himfelf < in the moft mafterly manner, as a poet, a critic, and a divine ; and fuch is the claffic purity of his Latin ilyle, that though we have read the work with the clofeft attention, and with no other view than to dif- eover, if poflible, an Anglicifm in the compofition, we never found a tingle phrafe to which, we believe, a critic of the Auguftan age could pofiibly have ob¬ jected. This is an excellence to which neither Milton nor Johnfon has attained ; to which indeed no other Englifh writer of Latin with whom we are acquainted has attained, unlefs perhaps Atterbury muft be dx- cepted. To the preledtions was fubjoined a fhort con¬ futation of bifhop Hare’s fyftem of Hebrew metre ; which occafioned a Latin letter from Dr Edtvards of Clare-hall, Cambridge, to Dr Lowth, in vindication of the Harian metre. To this the author of the preleCtions replied in a larger confutation, in which bi¬ fhop Hare’s fyftem is completely overthrown, and the fallacy upon which it was built accurately inveftigated. After much attentive confideration, bifhop Lowth has pronounced the metre of the Hebrew to be perfectly irrecoverable. In 1758 he publiflied The life of William of Wyke- ham, I'fhop of lV,ncheJler, with a dedication to Biflvop Lloadley ; which involved him in a difpute concerning a decifion which that bifhop had lately made refpeCt- ing the wardenfhip of Windiefter-cpllege. This con- troverfy was on both fides carried on with fuch abi¬ lities, that, though relating to a private concern, it may yet be read, if . not with pleafure at leaft with improvement. The life of Wykeham is drawn from .Ac moft.authentic fourtesj and affords much informa¬ tion concerning the'manners, and fome of the public tranfa&ions of the period in which Wykeham lived, whilft it difplays fome private intelligence refpe&ing the tw’o literary focieties of which he was the founder. In thefe two focieties Dr Lowth was educated, and he gratefully expreffes his obligations to them. In 1762 was firft publifhed his Short IntroduElion to Englifh Grammar, which has fince gone through many editions. It was originally defigned only for private and domeftic ufe : but its judicious remarks being too valuable to be confined to a few, the book was given to the world ; and the excellence of its method, which teaches what is right by fhowing what is wrong, has infured public approbation and very general ufe. In 1765 Dr Lowth was engaged with Bifhop Warburton in a controverfy, which made much noife at the time, which attracted the notice even of royalty, and of which the memory is ftill recent. If we do not wifh to dwell on the particulars of this controverfy, it is becaufe violent literary contention is an evil, which, though like other war it may fometimes be unavoid¬ able, is yet always to be regretted ; and becaiife the characters of learned, ingenious, and amiable men, never appear to lefs advantage than under the form which that ftate of hoftility obliges them to affume. The two combatants indeed "engaged with erudition and ingenuity fueh as is feldom brought into conflict; but it appears that, in the opinion of Dr Johnfon, Warburton had the moft fcholaftic learning, and that Lowth was the moft correCt fcholar; that, in their con- teft with each other, neither of them had much argu¬ ment, and that both were extremely abufive. We 1 have heard, and we hope it is true, that they were af¬ terwards reconciled, and expreffed mutual regret for the violence of their paft conduft. In 1778 Bifhop Lowth publifhed his laft great work. Si Tranflation of Ifaiah. To his literary and theological abilities, the tranflator joined the moll critical know¬ ledge of the character and fpirit of the eaftern poetry; and, -accordingly, the prophecies of Ifaiah (which, though almoft always fublime or elegant, are yet fome¬ times obfeure) ware tranfiated in a manner adequate to the higheft expectations of the public. Several occafional difeourfes, which the Bifhop, by his ftation, was at different times called upon to deliver, were of courfe publifhed, and are all worthy of their excellent author ; but there is one on the kingdom of God, on the extenfion and progreffive improvement of Chrift’s re¬ ligion, and on the means of promoting thefe by the advancement of .religious knowledge, by freedom of inquiry, by toleration, and mutual charity, which may be diftinguifhed above the reft, as exhibiting a moft comprehenfive view of the fuccefiive ftates of the Chriftian church, and containing the tfueft principles of Chriftianity. Of the Bifhop’s poetical pieces, none difplay great¬ er merit than Verfes on the Genealogy of Chrift, and the Choice of Hercules, both written very early in his life. He wrote a fpirited Imitation of an Ode of Horace, ap¬ plied to the alarming fituation of this country in 1745 ; and likewife fome verfes'on the death of Frede¬ ric prince of Wales, with a few fmaller poems. The following infeription on the tomb of his daughter, beautifully difplays his paternal affeCtion and claffic taftc. As it is fhort, and, in our opinion, has all the merit- L O X L©wth* merit of the ancient epitaph, the reader will probably t k°*ia- be pleafed with fuch a fpecimefl of his lordfhip’s La- tinity. Cara, vale, Ingemo prajlans, pietate,J>U(loi‘e, Et plufquam natee nomine cara, vale. Cara Marta, vale. At venlet fellclus ovum., Quando itcrum tecum,fim modo dignus, ero. Cara, redi, lata turn dicam voce, paternas, Eja, age in amplexus, cara Maria, redi. Learning and tafte, however,did not conftitute Bifnop Lowth’s higheft excellence. Eulogium itfelf can fcarce- ly afcend to extravagance when fpeaking of him either as a private man or as a pallor of the church of Chrift. Elis amiable manners rendered him an orna¬ ment to his high illation, whilll they endeared him to all with whom he converfed ; and his zeal for the in- terells of true religion made him eager to promote to places of trull and dignity fuch clergymen as he knew were bell qualified to fill them. Of his modelly, gentlenefs, and pleafing converfation, we have the telli- mony of one whofe decifion wall hardly be difputed.— “ It would anfwer no end (fays Biihop Warburton) to tell you what I thought of the author of Elebrew poe¬ try, before I faw him. But this I may fay, I was never more furprifed, when I did fee him, than to find him of fuch amiable and gentle manners, of fo modell, fenfible, and difengaged a deportment.” He united, indeed, ift an eminent degree, the qualities of the gentleman with thofe of the fcholar: he converfed with elegance, as he wrote with accuracy. As a hulband, a father, or the mailer of a family, he was as nearly faultlefs as the imperfections of humanity will eafily permit. His temper, when roufed by what he thought improper con- du£t, was indeed fufceptible of confiderable warmth; [ 3°9 1 L 0 X brown In thofe parts where the male is red. This fpecies is a conilant inhabitant of Sweden, Germany, " Poland, Switzerland, Ruffia, and Siberia, where it breeds; but migrates fometimes in vail flocks into other countries, as is now and then the cafe in refpecl to England ; for though in fome years a few are met with, yet in others it has been known to vifit us by tlioufands, fixing on fuch fpots as are planted with pines, for the fake of the feeds, which are its natural food: it is obferved to hold the cone in one claw like the parrot, and to have all the aclions of that bird when kept in a cage. It is alfo found in North America and Greenland ; and is faid to make the nell in the highell parts of the fir-trees, fallening it to the branch with the refinous matter which'exfudes from the trees. 2; The coccothraulles, or hawfinch, is in length feven inches; breadth, 13: the bill is funnel-lhaped, ftrong, thick, and of a dull pale pink colour; the breaft and whole under fide are of a dirty flelh colour the neck afli-coloured; the back and coverts of the wings of a deep brown, thofe of the tail of ayellowilh bay : .the greater quill-feathers are black, marked with white on their inner webs : the tail is Ihort, fpotted with white on the inner fides; and the legs-are of a flelh- colour. This fpecies is ranked among the Britilh birds but only vifits thefe kingdoms occafionally, and for the moll part in winter, and never known to breed here. It is more plenty in France, coming into Burgundy in fmall flocks, about the beginning of April; and fo on- after making the nell, which is placed between the bifurcation of the branches of trees, about twelve feet from the ground : it is compofed of fmall dry fibres, intermixed with liverwort, and lined with finer ma¬ terials. The eggs are of a roundilh ftiape, of a bluiflv green fpotted with olive brown,, with a few irregular but if he could be highly offended, upon a flight con- black markings interfperfed. It is alfo common h ceffion he could likewife forgive. His heart was ten¬ der and fympathetic. He poflefled a mind which felt Italy, Germany, Sweden,, and the weft and fouth. r parts of Rufiia, where the wild fruits grow. It feeds, its own ftrength, and decided on whatever came before on berries, kernels, &c.and from the great ftrength of it with promptitude and firmnefs. In thofe trials, where affliction was to be fuffered or fubdued, he be¬ haved as a man and a Chriftian. Elis piety had no tincture of morofenefs ; his charity no leaven of often- tation. To his whole diocefe he was endeared by his laudable diferetion and his ufeful zeal. To the world he was a benefit by his examplary life and his fplendid abilities. And whilll virtue and learning are reverenced among men, the memory of Lowth will be rcfpeAed and admired. the bill, it cracks the ftones of the fruit of the haw s, cherries, &c. the greateft with eafe. 3. The enucleator, or pine-grofsbeak, is nine inches in length, and weighs two ounces. The bill is ftrong,, dulky, and forked at the end: the head, back, neck, and breaft, are of a rich crimfon ; the bottoms of the fea¬ thers afh-colour; the quill-feathers and tail dulky,. their exterior edges of a dirty whitethe legs are black. This fpecies frequents the moll northern parts of this kingdom, being only met with in Scotland, LOXIA, in zoology ; the name of a genus of birds and efpecially the Highlands, where it breeds, and of the order of pafleres, the diftinguifiling characters of inhabits the pine-forefts, feeding on the feeds, like the which are thefe : The bill is ftrong, convex above and —r" l':n T* c A "n c—A- rr below, and very thick at the bafe: the noftrils are Email . and round: the tongue is as if cut off at the end : fhe toes are four, placed three before and one behind ; excepting in one fpeciesj which has only two toes before and one behind. 1. The curviroftra, or common crofs-bill, which is about the fize of a lark, is known by the Angularity ©f its bill, both mandibles of w hich curve oppofite ways and crofs each other : The general colour of the plumage in the male is of a reel-lead inclining to rofe- colour, and more or lefs mixed with brown: the crofs-bill. It is alfo found in all the pine-forefts of Siberia, Lapland, and the northern parts of Ruflia : it is common about St Peterftmrgh in autumn, and is caught in great plenty at that time for. the ufe of the table ; returning north in fpring. They are likewife common to the northern parts of America ; appearing at Hudfon’s Bay in May, to which place they are faid to come from the fouth, and are obfcrved to feed on the buds of willow. The fouthern fettlements arc inhabited by them throughout the year, but the northern only in the fummer feafon. Our laft voyagers. met with this bird in Norton Sound; it was alfo wings and tail are brown; the legs black. The fe- found at Aoonalafhka. sale is of a green colour, more or lefs mixed with 4. The pyrrhula,.or bullfinch,.is fo generally knowm I O X [ 31° ] L O X a? almoft to fuperfede defcription : The head, wings, and tail, are black ; the breaft and belly red ; the upper tail coverts and vent white ; and the breaft afh-colour. The female differs in having the under parts of a red- Midi brown. This fpecies is common in moft parts of the continent of Europe, and throughout Ruflia and Siberia, at which laft places it is caught for the table. It is pretty common in England ; and builds in the 'bilfhes, five or fix feet from the ground. The neft is compofed chiefly of mofe ; and the eggs, which are five or fix in number, are dirty bluifh white, marked at the large end with dark fpots. The time of breed¬ ing is about the end of May or beginning of June. In the fummer it moftly frequents woods and the more retired places. In winter it approaches gardens and orchards, and has been generally ftigmatifed for making havock among the buds of trees. From fome late obfervations, however, it would appear, that the objeft of thefe birds is not the bud, but “ the worm in the bud and that this fpecies, in conjunftion writh various other fpecies of fmall birds, are the frequent means of defending the embryo-fruits, and thence pro¬ moting their growth -to maturity : for the warmth that fwells the buds, not only hatches nidos (eggs) of unnumbered tribes of infects, whofe parent flies, by an unerring inftindt, laid them there,—but brings for¬ ward a numerous race already in a caterpillar ftate, that now iffue from their concealments, and make their excurfion along,the budding branches, and would probably deftroy every' hope of fruitage, but for-thofe ufeful inftruments for its prefervation, whofe yo'ung are principally fed by eating caterpillars.-—The buH- ;finch, in its wild ftate, has only a plain note ; but when tamed it becomes remarkably docile, and may be taught any tune after a pipe, or to whiftle any notes in the jufteft manner': it feldom forgets what it has learned ; and will become fo tame as to come at call, perch on its matter’s fhoulders, and (at command) go through a difficult muficai leflbn. They -may be 'alfo taught to .fpeak, and fame -thus inftrudted are annually- brought to London from Germany. 5. The ceeruka, or blue grofsbeak, is the fize of •the bullfinch.: The bill is ftout, brown, and the bafe of it furrounded .with black feathers which reach on each fide as far as the eye : the whole plumage befides .is of a deep blue, except the quills and tail, which are brown, with a.mixture of green, and acrofs the wing .coverts a band of red : the legs are dufky. It is an inhabitant of South America ; but is fometimes found in Carolina, where it is a very folitary bird, and feen only in pairs, but difappear in winter. It has only a Angle note. 6. The violacea, or purple grefsbeak, is about the .fize of a fparrow : The bill is black : the plumage, violet black ; except the irides, a ftreak over the eye, the chin, and the vent, which are red : the legs are dufky grey. This fpecies inhabits the Bahama Iflands, Jamaica, and the warmer parts of America. 7. The cardinalis, or cardinal groftbeak, is near eight inches in length. The bill is ftout, and of a pale red colour : the irides are hazel: the head is greatly crefted, the feathers rifing up to a point when ereft : round the bill, and on the throat, the colour is black ; the reft of the bird of a fine r*d j the quills and tail duller than the reft, andbrownifh within : the Latin* ^ legs are the colour of the bill. The female differs — from the male, being moftly of a reddifh brown. This fpecies is met with in feveral parts of North A- merica ; and has • attained the name of nightingale from the finenefs of its fong, the note of which refembles that of the nightingale. In fpring, and moft part of the fummer, it fits on the tops of the higheft trees, finging early in the morning, and piercing the ear with its loud pipe, Thefe birds are frequently kept in cages, in which they fing throughout the year, with only fhort intervals of mutenefs. They are foM of maize and buck-wheat ; and will get together great hoards of thefe, often as much as a bufhel, which they artfully cover with leaves and fmall twigs, leaving only a fmall hole for entrance into the magazine. They are alfo fond of bees. They come the beginning of April into New York and the Jerfeys, and fre¬ quent the Magnolia fwamps during the fummer: in autumn they depart, towards Carolina. They are pretty tame, frequently hopping along the road be¬ fore the traveller; but are not gregarious, fcarce ever more than three or four being met with together. From their being familiar birds, attempts have been made to breed them in cages, but without fuccefs. 8. The orix, or grenadier grofsbeak, is about the fize of a houfe-fparrow. The forehead, fides of the head, and chin, are black ; the breaft and belly the fame: the wings are brown, with pale edges; and the reft of the body of a beautiful red colour : the legs are pale. Thefe birds are inhabitants of Saint Helena; they are alfo in plenty at the Cape of Good Hope, where they frequent watery places that abound with reeds, among which they are fuppofed to make their neft. If (as is fuppofed) this be the fame with Kolben’s Finch, he fays that the neft is of a peculiar contri¬ vance, made with fmall twigs, interwoven very clofely and tightly with cotton, and divided into two apart¬ ments with but one entrance (the upper for the male, the lower for the female), and is fo tight as not to be penetrated by any weather. He adds, that the bird is fcarlet only in fummer, being in the winter wholly afti-coloured. Thefe birds, feen among the green reeds, are faid to have a wonderful effect; for, from the brightnefs of their colours, they appear like fo many fcarlet lilies. 9. The Philippina, or Philippine grofsbeak, is about the fize of a fparrow : the top of the head, the hind part of the neck and back, and the fcapulars, are yel¬ low, the middle of the feathers brown : the lower part of the back is brown, with whitifh margins: the fore part of the neck and breaft are yellow; and front, thence to the vent yellowifti white ; the wing-coverts brown, ed^ed with white: the quills are brown, with pale rufous or whitifh edges; and the tail the fame : the legs are yellowifh. Thefe birds inhabit the Philippine Iflands ; and are noted for making a mofl: curious neft, in form of a long cylinder, fwelling out into a globofe form in the middle. This is compofed of the fine fibres of leaves, &c. and fattened by the upper part to the extreme branch of a tree. The entrance is from beneath ; and, after afeending the cylinder as far as the globular cavity, the true neft is placed on one fide of it; where this little architect by« L O X [ ju ] L O X Loxia P* 3i.* lays her eggs, and hatches her brood in perfect fecu- rity. A variety of this fpecies, the Baglafechat (Buff. iii. 469), an inhabitant of Abyffinia, makes a very curi¬ ous neft like the former, but a little different in Ihape ; and is faid to have fomewhat of a fpiral form, not un¬ like that of a nautilus. It fufpends it, like the other, on the extreme twig of fome tree, chiefly one that hangs over fome ft ill-water; and always turns the opening towards that quarter from whence leaft rain may be expected. xo. The Abyffinica, or Abyflinian grofsbeak, is about the fize of the hawfinch : the bill is black : the hides are red: the top and fides of the head, throat, and breaft, are black: the upper parts of the body, belly, and thighs, pale yellow, inclining to brown where the two colours divide : the fcapulars are blackifh ; the wing-coverts brown, bordered with grey; the quills and tail brown, edged with yellow : the legs are of a red- difh grey. This bird is found in Abyffinia ; and makes a curious neft of a pyramidal Ihape, which is fufpended from the ends of branches like the others. The open¬ ing is on one fide, facing the eaft : the cavity is fe- parated in the middle by a partition ; up which the bird rifes perpendicularly about half-way, when de- fcending, the neft is within the cavity on one fide. By this means the brood is defended from fnakes, fquirrels, monkeys, and other mifchievous animals, be- fides being fecure from rain, which in that country fomCtimes lafts for fix months together. 11. The penfilis, or penfile grofsbeak, (the Toddy~ bird of Fryer), is about the.fize of the houfe-fparrow r the bill is black : the irides are yellow: the head, throat, and fore part of the neck, the fame : from the.noftrils fprings.a dull green , ftripe, which paffes through the eye and beyond it, where it is broader: the hind part of the head and neck, the back, rump, and wing- coverts, are of the fame colour : the. Quills are black, edged with green; the belly is deep grey, and the vent of a rufous red:, the tail and legs are black. Thisfpecies isfound at Madagafcar; and fabrieatesanell of a curious conftruction, compofed of ftraw and reeds interwoven in ftiape of a. hag, the. opening beneath. It is faftened above to a twig of fome tree ; moftly to thofe growing, on the borders of ftreams. On one fide of this, within, is the true neft.. The bird does not form a new neft every year, but faftens a new one to the end of the laft ; and often as far as five in number, one hanging from another. Thefe build in fociety, like rooks; often five or fix hundred being feen ont one tree. They have three young at each hatch. Kaempfer ft mentions a bird fimilar to this, if not the fame, which makes the neft,' near Siam, on a tree with narrow leaves and Xpreadmg,branches, the fize of an apple-tree : the neft in the ftiape of a .purfe, with a long neck, made of dry grafs and other materials, and fufpended at the ends of. the. branches ; the opening always to the north-weft. He counted fifty on one tree only.; and defcribes the .bird itfelf as being like, a Canary-bird, of a dark yellow, and chirps like a fpar- rew. 4 Account,of • Fryer J alfo talks of tire ingenuity of the Toddy Jadia and Bird, making a neft “ like a fteeple, with winding meaaders,” and tying_ it .by a flender thread to the bough of a tree. “ Hundreds of thefe pendulous nefts may be feen on thefe trees.” 12. The chloris, or greenfinch, is a well-known bird: the general colour is a yellowiih green, paleft on the. rump and breaft, and inclining to white on the belly ; the quills are edged with yellow, and the four outer tail-feathers are yellow from the middle to the bafe'; the bill is pale-brown, and ftout 5 and the legs are of a Hefti-colour.—--This fpecies is pretty common in Bri¬ tain, and flies in troops during the winter. It makes the neft in fome low buffi or hedge, compofed of dry grafs, and lined with hair, wool, See. laying five or fix greeniffieggs, marked at the larger end with red brown; and the male takes his turn in fitting. This bird foon becomes tame ; even old ones being familiar almoft as foon as caught: it lives five or fix years. Like the chaffinch, it is apt to grow blind if expofed to the fun. This fpecies is alfo pretty common every where on the continent of Europe : but not very frequent in Ruffia ; and is not at all found in Siberia, though it has been met with in Kamtfchatka. It is fufficiently common both in Cumberland and Scotland: yet in the firft, it is fcarce ever obfervedin the winter feafon; but the laft week in Mai-ch becomes plentiful, and breeds as in other parts of England^ 13. The Bengalenfis, or. Bengal grofsbeak, is a trifle bigger than a houfe-fparrow: the bill is of a fleffi-colour } the irides are whitiffi; the topoftheheadisof agoldenyel- low; the upper parts of the body are brown, with paler edges; the fides of the head and under parts rufous white ; acrofs the breaft is a brown band, uniting to, and of the fame colour with, the upper parts of the body; tlxe legs are of a pale yellow, the claws grey. This fpecies (thus deferibed by Mr Latham) feems to be the fame with the Indian grofsbeak. deferibed as follows in the BJiatic Refearcbes. “ This little bird, called bayd in Hindi, berleia in. Sanfcrit, babui in the dialed! of Bengal, c/bii in Perfian, and tenawwit in Arabic, from his remarkably pendant neft, is rather larger than a fparrow, with yellow-brown plumage; a yellowifix head and feet, a light-coloured breaft, and a conic beak very thick in proportion to his body. This bird is exceedingly common in Hindoftan : he is aftoniffiingly fenfible, faithful, and. docile, never vo¬ luntarily deferting the place where his young were hatched, but not averfe,. like moft other birds, to the fociety of mankind, and eafily taught to perch on the hand of his mafter. In a ftate of nature he generally builds his neft on the higheft tree that he can find, efpe- cially on the palmyra, or on the lndian fig-tree, and he prefers that which happens to overhang a well or a rivu-. let: he makes it of grafs, which he weaves like cloth and ffiapes like a. large bottle, fufpending it firmly on the branches, but fo as to rock with the wind, and placing it with its entrance downwards to fecure it from birds-of prey. His neft ufually confifts of two or three chambers ; and it is the popular belief that he lights them with fire-flies, which he catches alive at night, and confines with moift clay or with cow- dung : That fuch flies are often found in his neft; where pieces of cow-dung are. alfo ftuck, is indubi¬ table ; but as their light could be of little ufe to him, it feems probable that he only feeds on them. He may be taught with cafe to fetch a piece .of paper, or any L 0 X . C 3 ’Loxia. fmall thing that his matter points out to him : It is an v attefted fait, that if a ring be dropped into a deep well, and a fignal given to him, he will fly down with ama¬ zing celerity, catch the ring before it touches the wa¬ ter, and bring it up to his matter with apparent exul¬ tation } and it is confidently aflerted, that if a houfe or any other place be fhown to him once or twice, he will carry a note thither immediately on a proper fig¬ nal being made. One inftance of his docility I can my- felf mention with confidence, having often been an eye- witnefs of it. The young Hindoo women at Benares, and in other places, wear very thin plates of gold, -called tic as, (lightly fixed by way of ornament between their eye-brows; and when they pafs through the ftreets, it is not uncommon for the youthful libertines, who amufe themfelves with training bayas, to give them a fignal, \Vhich they nnderftand, and fend them to pluck the pieces of gold from the foreheads of their miftrefles, which they bring in triumph to the lovers. The baya feeds naturally on grafshoppers and other infe&s; but will fubfift, when tame, on pulfe macera¬ ted in water: his fleflt is warm and drying, of eafy digeftion, and recommended in medical books as a fol- vent of (lone in the bladder or kidneys ; but of that virtue there is no fufficient proof. The female lays many beautiful eggs refembling large pearls; the white of them, when they are boiled, is tranfparent, and the flavour of them is exquifitely delicate. When many bayas are affembled on a high tree, they make a lively din ; but it is rather chirping than finging : Tjheir want of mufical talents is however amply fup- plied by their wonderful fagacity, in which they are -not excelled by any feathered inhabitant of the fo- reft.” 14. The nigra, or black grofsbeak, is about the fize of a Canary bird : the bill is black, flout, and deeply notched in the middle of the upper mandible: the plumage is black, except a little white on the fore part of the wing and bafe of the two firft quills : the legs are black. It inhabits Mexico. 15. The minuta, or minute grofs'beak, is about the fize of a wren : the bill is flout, thick, fhort, and brown: the upper parts of the plumage are grey brown, the under parts and rump ferruginous chefnut; the fourth, fifth, and fixth quills are white at the bafe: the legs are brown. It inhabits Surinam and Cayenne. —It is faid to keep paired to its mate the whole year; and is a lively, and not very tame bird. It moftly frequents lands which have Iain for feme time unculti¬ vated ; and lives.both on fruits and feeds. It makes a roundifh neft, the hollow of which is two inches in diameter, compofed of a reddifli herb, and placed on the trees which it frequents. The female lays three or four eggs. 16. The focia, or fociable grofsbeak, is about the fize of a bullfinch : The general colour of the body above is a rufous brown, the under parts yellawifh : the beak and muzzle are black ; the legs brown ; and the tail is (hort. It inhabits the interior country at the Cape of Good Hope ; where it was difeovered by Mr Pater- fon.—Thefe birds, according to our author, live toge¬ ther in large focieties, and their mode of nidification is extremely uncommon. They build in a fpecies of M'tmofa which grows to an uncommon fize; and which N° 188. 12 1 I O X they feem to have fele&ed for that purpofe, as well on Loxia." account of its ample head, and the great ftrength of ■- v-—? its branches, calculated to admit and to fupport the ex- tenfive buildings which they have to creft, as for the tallnefs and fmoothnefs of its trunk, which their great enemies, the ferpent-tribe,- are unable to climb. The method in which the nefts themfelves are fabricated, is highly curious. In the one deferibed by Mr Pater- fon there could be no lefs a number (he fays) than from 800 to 1000 refiding under the fame rooff. He t See the calls it a roof, becaufe it perfectly refembles that of a r®‘ thatched houfe ; and the ridge forms an angle fo acute at Mjmo- and fo fmooth, projefiting over the entrance of the neft sA. below, that it is impoflible for any reptile to approach them. The induftry of thefe birds “ feems almoft equal (fays our author) to that of the bee ; through- Journitt out the day they appear to be bufily employed in car-tnta *be rying a fine fpecies of grafs, which is the principal ma-c<'‘nt£) *1 terial they employ for the purpofe of erecting this ex- 't/ntotf' traordinary work, a&well as for additions and repairs, a- 133. Though my (hor-t flay in the country was not fuffici- &c. ent to fatisfy me by ocular proof, that they added to their neft as they annually increafed in numbers, (till from the many trees which I have feen borne down with the weight, and others which I have obferved with their boughs completely covered over, it would appear that this is really the cafe ; when the tree which is the fupport of this aerial city is obliged to give way to the increafe of weight, it is obvious that they are no longer protected, and are under the neceflity of rebuild¬ ing in other trees. One of thefe deferted nefts I had the curiofity to break down, fo as to inform myfelf of the internal ftru&ure of it, and found it equally ingeni¬ ous with that of the external. There are many en¬ trances, each of which forms a regular ftreet, with nefts on both fides, at about two indies diftance from each other. The grafs with which they build is called the Bofliman s grafs: and I believe the feed of it to be their principal food; though, on examining their nefts, I found the wings and legs of different infects. Front every appearance, the neft which I differed had been inhabited for many years; and fome parts of it were much more complete than others : this therefore I conceive nearly to amount to a proof, that the animals added to it at different times, as they found ncceffary, from the increafe of the family, or rather of the naiioa or community.” 17. The tridaftyla, or three-toe’d grofsbeak (the guifso balito of Bujfon), has only three toes, one be¬ fore and one behind. The bill is toothed on the edges: the head, throat, and fore-part of the neck are of & beautiful red, which is prolonged in a narrow band quite to the vent; the upper part of the neck, back, and tail, are black ; the wing coverts brown, edged with white ; quills brown, with greenifh edges; and legs a dull red : the wings reach half way on the tail This fpecies inhabits Abyflinia; where ft frequents woods, and is a folitary fpecies. It feeds on kernels of feeds, which it breaks with eafe with its bill. The name in its native place is gmfso batito dimmo-'won jerck. Button’s figure is from Mr Bruce’s drawings. i here are ; 6 other fpecies of this genus; the whole number, befides varieties, enumerated in the Syji. Nat. (Gmelin), and in Mr Latham’s Index Oriutb. bein^3. 3 °n Plate erLXXlY . L U B [31 ■Loyo’a On Plate CCLXXIV. are given fpeeimens of fix, viz. II A, the Camilea ; B, the Longicauda ; C, the Socia ; IiUbgc' , D, the Cardinal!s ; E, the Nigra ; F, the Violacea. ¥ LOYOLA (Ignatius). See Ignatius. LOZENGE, in heraldry, a four-cornered figure, refembling a pane of glafs in old cafements. See He¬ raldry, P.455.C0I. 1. Though all heralds agree, that fingle ladies are to place their arms on lozenges, yet they differ with refpeft to the caufes that gave rife to it. Plutarch fays, in the life of Thefeus, that in Me- gara, an ancient town of Greece, the tomb-ftones, un-. der which the bodies of the Amazons lay, were fhaped after that form ; which fome conjecture to be the caufe why ladies have their arms on lozenges, S. Petra SanEla will have this fhield to reprefent a cujhion, whereupon women ufed to fit and fpin, or do other houfewifery. Sir J. Feme thinks it isibrmed from the fhield called tejfera, which the Romans finding unfit for war, did allow to women to place their enfigns upon, with one of its angles always uppermoft. Lozenges, among jewellers, are common to bril¬ liant and rofe diamonds. In brilliants, they are form¬ ed by the meeting of the ficill and ftar facets on the bezil; in the latter, by the meeting of the facets in the horizontal ribs of the crown. See Facets. Lozenge is alfo a form of medicine, made into fmall pieces,- to be held or chewed in the mouth till they are melted there : the fame with what are other- wife called trochifci) “ troches.” LUBEC, a city and port-town of Germany, in the circle of Lower Saxony and duchy of Holfteii), in E. Long. 10. 35. N. Lat. 54. 20. It Hands at the conflux of feveral rivers, the largefl of which is the Trave, 12 miles from the Baltic, where it has a fine harbour, and 40 north-eaft of Hamburg. By the Stec- kenitz, another of thofe rivers, it has a communica¬ tion with the Elbe, and confequently with thd Ger¬ man ocean. The city lies on the fide of a hill, with the Trave, increafed by the Steckenitz on the one fide, and the Waekenitz on the other ; and is flrongly for¬ tified with baflions, moats, walls, and ramparts} the lafl: of which are planted with trees, and form an a- greeable walk. Lubec being formerly the chief of. the Hanfe towns, was very powerful in confequence of the vaft trade it carried on ; but a great part of that trade is now transferred to Hamburg : however, it is Hill faid to employ 150 of its own (hips, and has a great fliare of the Baltic trade. It is about two miles in length, and more than one in breadth. The houfes are all of Hone, but old-fafhioned. Several of the ilreets have on each fide rows of lime-trees, with canals in the middle, like thofe of Holland. The public ftrudlures confift of the.ancient cathedral of the bilhop- ric of Lubec, and feveral other Lutheran churches ; a nunnery for 22 ladies, with an abbefs and priorefs ; a poor-holife, an alms-houfe, and houfe of correction ; an orphan-houfe ; an hofpital dedicated to the Holy- Ghoft ; a houfe in which poor travellers are entertain¬ ed three days, and then fent forward with a pafs ; but fuch as happen to be fick, are piovided with all necef- faries till they recover or die ; the city-armoury, a grammar-fchool oi feven claffes, the Calvinift church, and the Popifh chapel. The deputies of the Hanfe- towns ufed to meet here formerly in the town-houfe. Vol. X. Part 1. 3 1 L u n An alliance dill fubfifts between Lubec, Hambufg, I-uhec and Bremen ; and thefe cities, under the name of L'lbm Hanfe-toivns, negociate treaties with foreign powers. ’ Here are divers manufactures, and the city’s territory is about 60 miles in compafs. In the diet of the em¬ pire Lubec is pofieffed of the third feat among the Rhe- nifh imperial cities; and among thofe of the circle, has the firlt. In tjie matricula, its affeffment is 480 flo¬ rins, and to the chamber of Wetzlar it pays 557 rix- dollars and 88 kruitzers. The city is a republic with¬ in itfelf, and both makes and executes laws in regard to civil and criminal matters, &c. A father and fon, or two brothers, cannot be in the regency at the fame time. The famous league of the Hanfe-towns was be¬ gun here in 1164. This city had its charter of privi¬ leges from the emperor Frederic II. Formerly it car¬ ried on wars, both offenfive and defenfive, for feveral years, not only againft the dukes of Mecklenburg, but again ft the kings of Sweden and Denmark ; particu¬ larly in 1428, when it fitted out 250 fhips of . force againft Eric X. king of Denmark. There are about 20 churches in Lubec, with lofty fteeples or fppreg. The Trave brings fliips of burden into the very heart of the city; but the largeft unload at Travemunde, i. e. the mouth of the Trave, eight or ten miles di- ftant. Formerly it is faid to have employed no lefs than 600 fhips. In the famous cellar here, it is faid there is wine 200 years old. The church of St Ma¬ ry’s, a noble lofty pile, is fupported by tall pillars, all of one Hone each, and has a high fpire, covered with gilt lead. The town’s garrifon confifts of about 700 or 800 men. The revenue of its Lutheran bifliop, though he is a prince of the empire, is faid not to exceed 3000 pounds. LUBEN, a city of Germany, in the marquifate of Lower Lufatia. It is fituated on the river Spree, and is the capital of a fmall circle of the fame name. It is the feat of the diets, and of the chief tribunals and offices; and has feveral churches, with a noble land-houfe and hofpital. E. Long. 14. 25. N. Latr. 52LUBIENIETSKI (Staniflaus), a Poliffi gentle¬ man, defcended from a noble family, and born at Cracow in 1623, was educated by his father with great attention. He became a celebrated Socinian mi- nifter; and took great pains to obtain a toleration from the German princes for 1 is Socinian brethren. His labours, however, were ineffectual; being himfelf perfecuted by the Lutheran .minifters, and banilhed from place to place ; until at length he was banifhed out of the world, with his two daughters, by poifon, his wife narrowly efcaping, in 1675. We have of his writing si hijlory of the reformation in Poland; Atrea- tife on comets ; with other works in Latin. LUB1N (Eilhard), was profeffor of poetry in the univerfity of Roftock in 1595 : and ten years after, was promoted to the prpfefforfliip. of divinity. He wrote notes on Anacreon, Juvenal, Perfius, &c. and feveral other works; but that which made the mofl noife is a Treatife on the nature and origin of evil, in- titled, Phofphorus ffe caufa prima et natura mail, printed at Roftock in 1596 ; in which we have a curious hy- pothefis to account for the origin of moral evil. He fuppofed two co-eternal principles; not matter and va- R r eawm. LUC [ 314 3 LUC LuWIn ritim, as Epicurus did ; but God, and Nihilum or No- Lucinus being publiibed againft by Grawer, was 1,.,. defended by Lubin ; but after all, he is deemed better acquainted with polite literature than with divinity. He died in 16?. 1. LUBLIN, a handfome and confiderable town of Poland, capital of the palatinate of the fame name, with a citadel, a bifhop’s fee, an univerfity, and a handfome Jewifli fynagogue. Here the judicial courts for ail Poland are held. It hasthree fairs, frequented by merchants from all nations. It is feated on the ri¬ ver Byftrziia. E. Long. 22. 31. N. Lat. 51. 26. LUCA, (anc. geog.), a town of Etruria, on the river Aufer; a colony and a municipium. Now Lucca, capital of the republic of that name, near the river Sechia. E. Long. 11. 20. Lat. 43. 4,5. LUCANIA, a country of Italy, and a part of Magna G raecia ; bounded on the north by the river Silarus by which it was feparated from the Picentini, and by the river Bradanus by which it was parted from the Apuli Peucetii; on the fouth by the Laus, which fepa,mted it from, the Bruttii; on the eaft by the Si¬ nus Tarentinus ; and on the weft by the Tufcan fea. J.ucani, the people, defcendants of the Samnites. Lu¬ can us the epithet, (Horace). Lucnantem Pompeii comitantur et Catones: Tu magna facer et fuperbns umbra Nefcis Tartaron, et procul nocentum Audi* verbera, pailidumque vifa Matris lampade refpicis Neronem. Adfis lucidus ; et vocante Polla Uuam, quxf>, diem decs fdentum Kxores; folet hoc patere limen Ad nuptas redeuntibus maritis. Hasc te non thiafis proeax dolofis Falfi numinis induit figuras; Ipfum led edit, et f equentat ipfum imis altius inlitum medulii-; Ac folatia vana fubminiftrat Vultus, qui fimili notatus anro Stratis pramitet, excubatque fomno Secur*. Procul hinc abite mortes; Htec virse genitalis eft origo; Cedat luclus atrox, genifque manent Jam dukes 1 aery ms, dolorque feftus Qnicquid fleverat ante nunc adoret. But you, O ! whether to the fleies On Fame’s triilmphant car you rife, (Where mightier fouls new life affume) And mock the confines of the tomb; Or whether in Elyfium bleft You grace the grovfes of facred reft, Where the Pharfalian heroes dwell; And, as you ftrike your epic fhell, The Pompeys and the Catos throng To catch the animating fong; Of Tartarus the dread controul Binds not your high and hallow’d foul: Diftant you hear that wailing coaft. And fee the guilty Nero's ghoft Grow pale witli anguilh and affright. His mother flalhing on his fight. Be prefent to your Polla’s vows, While to your honour’d name ftie bows! One day let your intreaties gain From thofe who rule the fhadowy train ! Their gates have op’d to blefs a wife, And given a hufband back to life. In you the tender fair invites No fancied god with frantic rices: You are the objeit of her prayers, You in her inmoft heart ftie bears: And, ftampt on mimic gold, your head Adorns the faithful mourner’s bed, And fooths her eyes before they clofe, The guardian of her chafte repofe. Away with all funereal ftate ! From hence his nobler life we dare : Let mourning change the pang fevere To fond devotion’s grateful tear 1 And feftal grief, its anguilh o’er, What it lamented, now adore ! LUC [ 31 Lueanui, have unfairly compared his language to that of Virgil: . 1^ar- . but how unjuft and abfurd is fuch a comparifon ! it is "" comparing an uneven block of porphyry, taken rough from the quarry, to the moft beautiful fuperficies of po- lifhed marble. How differently fhould we think of Virgil as a poet, if we poffeffed only the verfes which he wrote at that period of life when Lucan compofed his Pharfalia ! In the difpofition of his fubjeft, in' the propriety and elegance of didtion, he is undoubtedly far inferior to Virgil: but if we attend to the bold originality of his defign, and to the vigour of his fen- timents; if we confider the Pharfalia as the rapid and uncorrefted fketch of a young poet, executed in an age when the fpirit of his countrymen was broken, and their tafte in literature corrupted; it may juftly be efteemed as one of the moft noble and moft wonderful productions of the human mind.”—Lucan wrote fe- veral poems; but we have none remaining befide his Pharfalia, of which an excellent Englifh verfion has been given by Mr Nicholas Rowe. LUCANUS, the Stag-beetle, in zoology;a genus of infedls of the order coleoptera ; The antennae end in a club or knob, which is compreffed or flattened on one fide, and divided into fhort laminae refembling the teeth of a comb; the jaws are porreCted or advanced before CCLXXV t^ie keac*’ anc* are Stated. There are 20 fpecies. ’ The largeft, as well as the moft Angular, is the cervus; which is eafy to be known by two large moveable maxillae, refembling in form the horns of a ftag, which projedt from its head, and have in a fpecial manner acquired it the appellation of Stag-Beetle. Thofe maxillae, broad and fiat, equal to one third of the in- fedf’s length, have in the middle, towards their inner part, a fmall branch, and at their extremity are forked. Befides this, they have feveral fmall teeth throughout their whole length. The head that bears thefe maxillae is very irregular, very broad and fhort. The- thorax is fomething narrower than the head and body, and margined round. The elytra are very plain, with¬ out either ftreaks or lines. The whole animal is of a d'eep brown colour. It is commonly found upon the oak, but is fcarce in the neighbourhood of London, and though the largeft of coleopterous infedfs to be met with in this part of the world, it is much fmaller than thofe of the fame fpecies that are found in woody countries. This creature is ftrong and vigorous, and its horns, with which it pinches feverely, are carefully to be avoided.-—The jaws are fometimes as red. as co¬ xal, which gives this infedt a very beautiful appear¬ ance; the female is diftinguifhed by the fhortnefs of the jaws, which are not half fo long as thofe of the male. —Thefe infects feed on the liquor that oozes from oaks, which they (nek with their trunk or tongue. The females depofit their eggs in the trunks of decayed trees, fuch as the oak and the afh. The larvae or grubs lodge under the bark and fa the hollow of old trees, which they eat into and reduce into fine powder, and there transform themfelves into chryfalids. They are common in Kent and Suffex, and are fome¬ times met with in other parts of England. The por- redted jaws are particularly ufeful to thefe animals, in ftripping off the bark from tre.es, and affixing them¬ felves thereby to the tree, while they fuck with their trunk the juice that oozes from it. LUCAR de Barameda (St), a handfome and 6 ] LUC confiderable town of Spain, with a very good harbour, Lucar well defended, in Andalufia. It was once the greateft II port in Spain, before the galleons unloaded their trea- Lucas' fure at Cadiz. It is feated at the mouth of the river , ” Quadalquiver. W. Long. 6. 5. N. Lat. 36. 40. Lucar de Guadiana (St), a ftrong town of Spain, in Andalufia, on the confines of Algarve ; feated on the river Guadiana, with a little harbour. W. Long. 5. 59. N. Lat. 37. 32. Lucar la Major (St), a fmall town of Spain, in Andalufia, with the title of a duchy. It is feated on the river Guadiana, in W. Long. 6. 32. N. Lat. 37.21. LUCARIA, a feaft celebrated at Rome on the 18th of July, in memory of the flight of the Romans into a great wood, where they found an afylum, and faved themfelves from deftrudtion. This wood, in which they found proteftion, was fituated between Tyber and the Via Salaria. The enemies from whom, the Romans fled were the Gauls.—On this feftival, Plutarch tells us, it was cuftomary to pay the actors, and fuch as contributed to the public amufement, with the money arifing from the felling of wood. This money was called lucar. It is obvious, from what has been obferved, that hear and lucaria are derived from. lucus, a grove. LUCAS (Jacobs), an eminent artift, more gene¬ rally known by the name of Lucas van Leyden, or Hugenfe, was born at Leyden in 1494. He received his firft inftrudfions in the art of painting from his fa¬ ther Hugues Jacobs; but completed his ftudies in the fchool of Cornelius Engelbrecht. He gained much money by his profeffion ; and being of a gene¬ rous turn of mind, he fpent it freely, dreffed well, and lived in a fuperior ftyle. It is faid, that, a few years before his death, he made a tour into Zealand and Brabant; and during his journey, a painter of Flulh- ing, envious of his great abilities, gave him poifon at an entertainment; which, though very flow, was too fatal in its effedt, -and put an end t# his life, after fix years languilhing under its cruel influence. Others, denying the ftory of the poifon, attribute his death to his inceffant induftry. The fuperiority of this artift’s genius manifefted itfelf in his infancy : for his works, even from the age of nine, were fo excellent, as to excite the admiration of all contemporary artiftsj and when he was about 15, he painted, a St Hubert,, which gained him great applaufe. His tone of colour¬ ing (Mr Pilkington obferves) is good, his attitudes (making a reafonable allowance for the ftiff German tafte) are well-chofen, his figures have a confiderable: expreffion in their faces, and his pi&ures are very highly finilhed. He endeavoured to proportion the ftrength of his colouring to the different degrees of diftance in which his obje&s were placed : for in that early time, the true principles of perfpedtive were but little known, and the praftice of it was much lefs, obferved. In the town-hall at Leyden, the moft ca¬ pital pidture of Lucas, the fubjedt of which is the Laft Judgement, is preferved with great care; the magi- ftrates having refufed very large fums which have been offered jbr it. This artift painted not only in oil, but alfo in dis¬ temper and upon glafs. Nor was he lefs eminent for his engraving than for his painting. He carried on familiar and friendly correfpondence with Albert 6 Durer* LUC [ 3'7 1 LUC Luca«. Durer, vrho was his cotemporary; and, it is fatd, that —V—1 as regularly as Albert Durer publifhed one print, Lu¬ cas publifhed another, without the leaft jealoufy on either fide, or wdfh to depreciate each other’s merit. And when Albert came into Holland upon his travels, he was received by Lucas in a moft cordial- and affec¬ tionate manner. His ftyle of engraving, however, ac¬ cording to Mr Strutt, differed confiderably from that of Albert Durer, “and feems evidently to have been found¬ ed upon the works of Ifraelvan Mechlen. His prints are very neat and clear, but without any powerful effect. The ftrokes are as fine and delicate upon the objetffs in the front, as upon thofe in the diftances; and this want of variety, joined with the feeblenefs of the maffes of fliadow, give his engravings, with all their neatnefs, an unfiniffied appearance, much unlike the firm fubftantial effedt which we find in the works of Albert Durer. He was attentive to the minutiaj of his art. Every thing is carefully made out in his prints, and no part of them is neglected. He gave great charafter and expreffion to the heads of his figures ; but, on examination of his wmrks, we find, the fame heads too often repeated. The hands and feet are rather mannered than correct; and when he attempted to draw the naked figure, he fucceeded but-very indif¬ ferently. He affe&ed to make the folds of his dra¬ peries long and flowing; but his female figures are frequently fo exceffively loaded with girdles, bandages, and other ornamental trappings, that much of the ele¬ gance of the defign is loft. He engraved on wood, as well as on copper; but his works on the former are by no means numerous. They are,however, very fpirited; tho’ not equal, upon the whole, to thofe of his friend Albert. The prints of this matter are pretty numerous, but very feldom met with complete ; efpecially fine im- prefiions of them. For though they are, generally fpeaking, executed with the graver only, yet, from the delicacy of the execution, they foon fuffered in the printing. Of his engravings the few following may be mentioned as among the principal, i. Mahomet Jleeping, ’with a priejl murdered by his fide, and another fgurefeating his/word, a middling-fized upright plate, dated 1508, faid to be one of his moft early produc¬ tions. 2. An ecce homo, a large plate, lengthwife, dated 1510. 3. The crucifixion on Mount Calvary, the fame. 4. The ’wife mens offering, the fame, dated 1513. J- Return of the prodigal fan, a mid¬ dling-fized plate, lengthwife, dated 1518. 6. A large print lengthwife called the dance of Magdalen, dated 1519. 7. His own portrait, a fmall upright plate, dated 1525. 8. David playing before Saul, a middling-fized upright plate, dated This is a very fine print; the expreflion of Sauls countenance, in particular, is admirable. 9. A print known by the name of Ulefpiegle, which is the fcarceft of all the works of this mafter. It is in the colle&ion of the king of France ; and faid by Marches, and other matters, to be unique. But Bafan informs us, that M. Mariette had alfo an impreffion of this plate ; and it has been fince found in one or two other collections. It reprefents a travelling bag-piper with his family ; himfelf playing as he goes along,, and carrying two children in a bafket at his. back ; his wife trudging by his fide, fupporting with one hand an infant on her fhoulder, and with the other leading an afs loaded with two bafkets, having two children in each; and Imtas another child going before, with a little dog, completes II the finguW groupe. This rare print is dated 1520, Lucena' and is known to have been fold for 16 louis-d’ors —v—J It is nearly 74- inches high by 4! broad ; and has been twice copied. One of the copies is the reverfe way : but the other is the fame way with the origi¬ nal ; and though not fo well executed, might without a comparifon be mittaken for it. Lucas (Richard), D. D. a learned Englilh di¬ vine, was born in 1648, and ftudied at Oxford : after which he entered into holy orders, and was for fome time mafter of the free fchool at Abergavenny. Be¬ ing efteemed an excellent preacher, he became vicar of St Stephen’s, Coleman ftreet, in London, and lec¬ turer of St Olave’s in Southwark. He was doctor of divinity; and in 1696 was inftalled prebendary of Weftminfter. His fight began to fail him in his youth ; and he totally loft it in his middle age. He was great¬ ly efteemed for his piety and learning ; and publiflied feveral works, particularly, I. Praftical Chriftianity. 2. An inquiry after happinefs. 3. Several fermons. 4. A Latin tranflation of the whole duty of man. He died in 1715. LUCCA, a fmall republic of Italy on- the coaft of the Meditenanean, between the territory of Genoa on the weft, Modena on the north,, and Tufeany on the eaft. According to Keyfler, it is only about 30. miles in circumference, but is exceeding fertile and po¬ pulous. It contains, befides the city of Lucca, 150 vil¬ lages. The number of inhabitants are computed at 120,000. The government is lodged in a gofa- lonier, whofe power is much the fame with that of the doges of Venice and Genoa. He is aflifted by nine counfellors: but the power of all the ten conti¬ nues only for two months; during which time they live in the ftate-palace, and at the public expence. They are chofen out of the great council, which con- fifts of 240 nobles ; but even this council is changed by a new election every two years. The revenues of the republic are about 400,000 feudi or crowns; out of which they maintain 500 men by way of regular force,, and 70 Swifs as a guard to their a citing magiftrates. The city of Lucca is fituated in a plain, terminating in moft delightful eminences, adorned with villas, fum- mer-houfes, corn-fields, and plantations of every kind;, fo that nothing either for ufe or pleafure is here want¬ ing. The city, which is about three Italian miles in. circumference, has regular well-lined fortifications; and its ftreets, though irregular, are wide, well paved; and full of handfome houfes. The number of its in¬ habitants are computed to be above 40,000;; and they carry on large manufactures, efpecially of fdk-iluffs. Lucca has a biftiop, who enjoys feveral extraordinary privileges ; and its cathedral is Gothic, Tire city ttands in E. Long. M. 27; N. Lat. 43. 52. LUCENTI, Luceutia, or Lucentum, a town of the Hither Spam, now Alicant, a- fea-port of Va¬ lencia. W. Long. 32', Lat. 38' 37'. LUCERES, in Roman antiquity, the thirdin or¬ der of the three tribes into which Romulus.divided; the people, including all foreigners; fo called from- the lucus or grove, where Romulus opened an afylum. LUCERIA (anc. geog.), a town of Apulia hr. Italy; which in Strabo’s time, ftill exhibited marks cf DiomeTa. LUG t 3i Lucerius piomed'g fovereipnty in thofe parts. Ptolemy has Nu~ j ceria j whether from miftakc, or the cuftom of his ’ ‘, time, uncertain. Now Nocera de Pagani, in the king¬ dom of Naples. E. Long. 15, o. N. Lat. 40. 40. LUCERILI5, in mythology, a name given to Ju¬ piter, as Luceria wafi given to Juno, as the deities which gave light to.the world. LUCERNE, one of the 13 cantons of Swifler- land. It holds the third place among the 13 ; and is the head of the Catholic cantons. Though lefs than ‘Zuric, and confequently much lefs than Berne, it is, however, far more extehfive than, any of the reft, be¬ ing 15 or 16 leagues long, and eight broad. The po¬ pulation is eftimated at 100,000. Even the moun¬ tainous part is not barren, but abundant in wood and pafture, furniihing cattle, hides, cheefe, and butter, for exportation. All the north part is fertile in grain, fruit, and hay; fupplying fufficient fpr the con- fumption of the inhabitants : but as the mountaineers of the little cantons come to their market for corn., the people of Lucerne purchafe this commodity from other parts of Swiflerland, but efpecially from Alface and Suabia. Their manufa&ures are very inconfide- rable ; c.onfifting only in a little filk and cotton thread. The government is oligarchical. The councils are chofen from among 500 citizens only. The great council of 64 members is the nominal fovereign ; but in faft the power relides in the fenate, or little coun¬ cil of 36* having for their chiefs the two Avoyers.—r- The whole canton profeffes the Roman Catholic re¬ ligion. The pope’s nuncio, with the title of legate a latere, ufually refides at Lucerne.—They threw off the Aultrian yoke in 1352, and by entering into a perpetual alliance with the three ancient cantons, they gave fuch weight to the confederacy, as to enable it in 13$6 to refift all the efforts of the enemy at the bloody battle of Sempach. The town of Lucerne is fUuated at the extremity of a moft beautiful lake of the fame name, where the river Renfs iffues from it. The buildings are ancient, and the ftreets narrow'; nor is Lucerne populous in proportion to its extent, the inhabitants being only between 3 and 4000, Since this is the great paffage to Italy by Mount St Gothard, and the merchandize which paifes the Alps on mules, and is to be tranf- ported by the rivers Reufs, Aar, and Rhine, is all depofited here, it might have a flourifhing trade if arts and manufaftures were attended to. The Reufs feparates the town into two unequal parts, which are conne&ed by three bridges ; one wide for carriages; and two narrow covered ones for foot paffengers : be- fides thefe, there is a fourth over an arm of the lake, to pals to the cathedral. Three of thefe bridges have old bad paintings of the Dance of Death, and the Hi- itory of the Bible, and of Swifferland. They make a commodious dry walk for the inhabitants.—Of re¬ ligious edifices, the principal are the cathedral, or col¬ legiate church of St Leger ; the convent of Corde¬ liers ; the college of the Jefuits ; the convent of Capu¬ chins ; and two convents of nuns. Of the fecular buildings, the hotel de Ville is the principal. The arfenal is well furnifhed. The water tower is re¬ markable only for its pofition and antiquity : it is faid to have been a pharos or lighthoufe.—What greatly attracts moft the notice of llrangers is, a plan in 8 ] _ LUC relief of part of the cantons of Lucerne, Zug, and l ucerne, Berne, and the whole of Schweitz, Uri, and Under- JLucia‘ ^ Wald, executed by General Pfiffer on a large feale. 4 ** He has completed about 60 fquare leagues ; the plan is 12 feet long, and- nine and a half broad: every mountain is accurately meafured; and every objed diftindly placed. The Lake of Lucerne exhibits greater variety and more pidur,efque feenery than any other of the Swifs lakes. It is feven leagues long in a right line, and three wide about Kuffnacht; but the fliape is very ir¬ regular. The whole feuth fide is bordered by high mountains; but the north exhibits hills of no great height. The narrow gulph that extends towards the weft, is bordered on the north and north-weft by mount Pilat, which is a fingle mountain riling boldly more than 6000 feet above the lake ; and on the South by mount Burgenberg. Stanz-Stadt, -belonging to the canton of Underwald, is on this fide ; and hereabout? the lake is deepeft. Kuffnacht is on the point of the other gulph, which extends towards the eaft, and is wider than the former. All the country to the weft of thefe gulphs, and part of it to the north of the latter, belongs to the canton of Lucerne; but that which is to the fouth and north-eaft is dependant on the canton of Zug. All the mountains on the left ftiore of the lake belong to the canton of Underwald ; thofe on the right, partly to the canton of Uri, partly to that of Schweitz, partly to the little republic of Gerfaw, but principally to the canton of Lucerne. Lucerne, in botany. See Medicago.—For the culture of this plant, fee Agriculture, ^183. LUCIA (St), one of the Caribbee Ifiands in the Weft Indies, about 22 miles long, and 11 broad, tire middle of it lying in N. Lat. 39. 14. W. Long. 27. o. It was firft fettled by the French in 1650; but was reduced by the Englilh in 1664, who evacuated it in 1666. The French immediately re-fettled the ifiand, but were again driven away by the Caribbs. As foon ■as the favages were gone, the former inhabitants re¬ turned, but only for a Ihort time; for being afraid of falling a prey to the fil-ft privateer that Ihould vifit their coafts, they removed either to other French fet- tlements that were ftronger, or which they might ex¬ pert to be better defended. There was then no re¬ gular culture or colony at St Lucia ; it was only fre¬ quented by the inhabitants of Martinico, who came thither to cut wood, and to build canoes, and who had confiderable docks on the ifiand. In 1718 it was again fettled by the French; but four years after, it was given by the court of London to the duke of Montague, who was fent to take poffeffion of it. This Occafioned fome difturbance between the two. courts ; which was fettled, however, by an agreement made in 1731, that, till the refpedlive claims Ihould be finally adjufted, the ifiand ftiould be evacuated by both nations, but that both fiiould wood and water there. This precarious agreement furnifhed an opr portunity for private intereft to exert itfelf. The Englifh no longer molefted the French in their habi¬ tations; but employed them as their alfiflants in car¬ rying on with richer colonies a fmuggling trade, which the fubje&s of both governments thought equally ad¬ vantageous to them. This trade has been more or lefs confiderable till the treaty of 1763, when the 4 ‘ pro- LUC f 3' tucia, property of St-Lucia was fccum! to the' crown of Lucian. France. After that time the colony flourilhcd confi- derahly. In the beginning of the year 1772, the number of White people amounted to 2018 fouls, men, women, and children; that of the blacks to 663 free¬ men, and 12,795 flaves* The cattle confided of 928 mules or horfcs, 207c head of horned cattle, and 3184 fheep or goats. There were 38 fugar plantations, which occupied 978 pieces of land; 5>395>^9 coffee- trees; 1,321,600 cocoa plants; and 367 plots of cot¬ ton. There were 706 dwelling places. The annual revenue at that time was about 175,000!. which, ac¬ cording to the Abbe Raynal, muft have increafed one- ^ eighth yearly for feme time. It was taken by the Britifh fleet under admirals Byron and Barrington, in the year 177* ; but was reitored to France at the peace of 1783. The foil of St Lucia is tolerably good, even at the fea fide; and is much better the farther one advances into the country. The whole of it is capable of cul¬ tivation, except fome high and craggy mountains which bear evident marks of old volcanoes. In one deep valley there are ft ill eight or ten ponds, the water of which boils up in a dreadful manner, and retains fome of its heat at the diftance of 6000 toifes from its re- fervoirs. The air in the inland parts, like that of all other uninhabited countries, is foul and unwholefofne; but grows lefs noxious as the woods are cleared and the ground laid ©pen. On fome parts of the fea- coaft, the air is ftill more unhealthy, on account of fome fmall rivers which fpring from the foot of the mountains, and have not fufficient flope to wafti down the fands with which the influx of the ocean flops up their mouths, by which means they fpread them- felves into unwholefome marlhes on the neighbouring grounds. Lucia (St), a high and mountainous ifland of Africa, and one of thofe of Cape Verde, is about nine leagues long, and lies in the latitude of 16" 18' N. according to the Engliftr geographers ; but according to *11 others, it is. a degree farther to the northward. Gn the eaft-fouth-eaft fide is a harbour, with a bot¬ tom and Ihore of white fand ; but its beft road is oppo- fite to St Vincent’s to the fouth-weft, where there are at leaft 20 fathoms of water. On the weft fide there is no water: it abounds with-goats, fea and land fowl, tortoifes, &c. but whether it hath any inhabitants is not certainly known. LUCIAN, a celebrated Greek author in the firft century, was born at Samofata, of obfeure parents, in the reign of the emperor Trajan. He ftudied law, and praftifed fome time as an advocate; but growing weary of the wrangling oratory of the bar, he commenced rhetoriciam He lived to the time of Marcus Aure¬ lius, who made him regifter of Alexandria in Egypt; and,, according to Suidas, he was at laft worried by dogs. Lucian was one of the fineft ufits in all anti¬ quity. His Dialogues, and ether works, are written in Greek. In thefe he has joined the ufeful to the agreeable, inftru&ion to fatire, and erudition to ele¬ gance y and we every where meet with that fine and delicate raillery which charadlerifes the Attic tafte.— Thofe who cenfure him as an impious fcoffer at reli¬ gion, have reafon on their fide, if religion con filled in 9 ] LUC the theology of the Pagan poets, or in the extravagant LuciamfU opinions of philofophers; for he perpetually throws fuch ridicule on the gods and philoibphers, with their uc^ ms*t vices, as infpires hatred and contempt for them ; but J it cannot be faid that he writes any where againft an over-ruling providence. V LUC1ANISTS, orLucANisrs, a religious feAa,v the entertainment of His poem Z)tf, recam natura has been tranflated into the people. See Games. Englifti by Mr Creech. For an account of the particular games of Greece LUCRINUS lacus (anc. geog.), a lake of Cam- and Rome, as the Ifthmian, Nemsean, Olympic, &c. pania, between Bains and Puteoli, famous for Its oy- fee Isthmian, &c. ilers (Horace, Martial, Juvenal); Lucrinenfes (Cicero), LUDIUS, a celebrated painter, lived in the reign the people dwelling on it. Now a perfect bay fince of Auguftus C as far, and excelled in grand compofitions. the earthquake in 1538. He was the firft who painted the fronts of houfes in LUCULLUS (Lucius Lucinius), a Roman gene- the ftreets of Rome ; which he beautified with great ral, celebrated for his eloquence, his victories, and his variety of landfcapes, and many other different fub- riches. In his youth he made a figure at the bar; and jedts. being afterwards made quneftor in Afia, and praetor,in LUDLOW (Edmund), fon of Sir Flenry Ludlow Africa, governed thofe provinces with great modera- was-born at Maidenhead, and educated in Trinity tion and juftice. Scarce was he known as a military college, Oxford. His father oppofing the king’s in- man, when he twice beat the fleet of Amilcai, and tereft, Mr Ludlow joined with the fame party, and gained two great victories over him. His happy ge- was prefent at the battle ofEdgehillas a volunteer un- nius was greatly improved by ftudy; for he employed der the earl of Effex. Upon the death of his father, his leifure in reading the belt authors on military af- he was chofen knight of the {hire for Wilts, and ob- fairs. Being made conful with Aurelius Cotta, du- tained the command of a regiment of horfe for the de¬ ring the third war with Mithridates king of Pontus, lence of that county. He was one of King Cha. I.’s he was fent againft this prince : and this expedition judges: after whofe death he was fent by the parlia- was attended with a feries of victories, which did him ment into Ireland, in quality of lieutenant-general of lefs honour than an adt of generofity towards his col- the horfe ; which employment he difeharged with di¬ league ; who, willing to take advantage of his abfence ligence and fuccefs till the death of the lord-deputy to fignalize himfelf by fome great exploit, haftened to Ireton, when he a£ted for fome time as general, though fight Mithridates; but was defeated and fliut up in without that title; Cro'‘""'U, who knew him to be Calcedonia; where he muft have* perifhed, if Lucullus, fincerely in the intereft of the commonwealth, always facrificing his refentment to the pleafure of faving a finding out fome pretext to hinder the conferring of Roman citizen, had not flown to his affiftance, and that character upon him. The laft ftroke had been N° 188. # given L U D r 321 1 L U F I.R'llow. given by Ludlow to the lrifh rebellion, if tbe ufurpa- v—' tion of-Cromwell bad not prevented it. Under his power-he never adled ; and though Cromwell ufed his utmoft efforts, he remained inflexible. After Crom¬ well’s death, he endeavoured to refbore the common¬ wealth ; but Charles II. being recalled, he thought proper to conceil hirrifeif, and eicaped into Switzer¬ land, where he fettled. After the revolution, he came over into England, in order to be employed in Ire¬ land againfl: King James: but appearing publicly in London, it gave great offence ; and an addrefs was prefented by Sir Edward Seymour to King William HI. for a proclamation in order to apprehend Colonel Ludlow, attainted for the murder of King * Charles L Upon this he returned to Switzerland, where he died. During his retirement in Switzer¬ land he wrote his Memoirs. Ludlow, a town of Shropfhire in England, fitua- ted at the conflux of the Teme and Corve, 18 miles from Shrewfbury, and 138 from London. The pre- fdent of the council of the marches, eflablifhed by H.nry VIII. generally kept his courts in it, by which the town was much benefited, thefe courts not having been abolifhed till the rfl of William and Mary. Its neighbourhood to Wales makes it a great thorough¬ fare, and engages many of the Welch to fend their children of both fexes to it for education. It was in¬ corporated by Edward IV- and among other privi¬ leges has that .of trying and executing criminals within itfelf. It is one of the neateft towns in England, with walls and feven gates. It is divided into four wards; and is governed by 2 bailiffs, 12 aldermen, 25 common-councilmen, a recorder, a town-clerk, fteward, chamberlain, coroner, &c. From the caftle on the top of the hill on which the town Hands is a moll delight¬ ful profpedt. In an apartment of the outer gatehoufe Samuel Butler is faid to have written the firft part of Hudibras. Of this caftle, which was befieged and ta¬ ken by King Stephen, fome of the offices are fallen down, and great part of it turned into a bowling-green; but part of the royal apartments and the fword of ftate are full left. The walls were at firft a mile in compafs, and there was a lawn before it for near two miles, of which much is now inclofed. The battle¬ ments are very high and thick, and adorned with towers. It has a neat chapel, ‘where are the coats of arms of abundance of Welch gentry, and over- the ftablerdoors are the arms of Queen Elizabeth, the earls of Pembroke, &c. This caille Was a palace of the prince of Wales, in right of his principality. The river Teme has a good bridge over it, feveral wears a- crofs it, and turns a great many mills. Here is a large parochial church, which was formerly collegiate 5 in the choir whereof is an infcription relating to Prince Arthur, elder brother to King Henry VIII. who died here, and whofe bowels were here depofited, though it is faid his heart was taken up fome time ago in a leaden box. In this choir is a clofet, commonly call¬ ed God’s Houfe) where the priefts ufed to keep their confecrated utenfils; and in the market-place is a con¬ duit, with a long ftone crofs on it, and a niche wherein is the image of St Laurence, to whom the church was dedicated. On the north fide of'the town there was a rich priory, whereof there are few ruins to be fcen ex¬ cept thofe of its church. Here are an alxns-houfe for Vol, X. Part I. 30 poor.people, and two charity-fchools where yoboyi Ludolph and 30 girls are both taught and clothed. It lias a L||g. market on Monday, and three leffer ones on Wednef- i.LI day, Friday, and Saturday. Its fairs are on the Tues¬ day Eafter, Whit-Wednefday, Auguft 21. Sept. 28. and Dec. 8. Provifion? are very cheap here ; and at the annual horfe-races there is the beft of company. The country round is exceedingly pleafant, fruitful, and populous, efpecially that part called the Corvcf* dalet being the vale on the banks of the river Corve. Ludlow fends two members to parliament. LUDOLPH (Job), a very learned writer of the 17th century, was born at Erfurt in Thuringia. He travelled much, and was mafter of 25 languages; vi- fited libraries, fearched after natural curiofities and an¬ tiquities every where, and converfed with learned men of all nations. He publiihed A Hiftory of Ethiopia, and other curious books. Ludolph (Henry William), nephew of Job above- mentioned, was born at Erfurt in 1655. He came over to England as fecretary to M. Lenthe, envoy from the court of Copenhagen to that of London; and be¬ ing recommended to Prince George of Denmark, was received as his fecretary. He enjoyed this office for fome years, until he was incapacitated by a violent dif- order; when he was difeharged with a handfome pen- fion: after he recovered, he travelled into Mufcovy, where he was well received by the czar, and where his knowledge made the Mufcovite priefts fuppofe him to be a conjuror. On his return to London in 1694, he was cut for the ftone; and as foon as his health would permit, in acknowledgment of the civilities he had received in Mufcovy, he wrote a grammar of their language, that the natives might learn their own tongue in a regular method. He then travelled into the Eaft, to inform himfelf of the ftate of the Chriftian church in the Levant; the deplorable condition of which in¬ duced him, after his return, with the aid of the bifhop of Worcefter, to print an edition of the New Tefta- ment in the vulgar Greek, to prefent to the Greek church. In 1709, when fuch numbers of Palatines came over to England, Mr Ludolph was appointed by- Queen Anne one of the commiffioners to manage the charities railed for them; and he died early the fol¬ lowing year. His collefted works were publilhed in 1712. LUDWIDGIA, in botany: A genus of the mo- nogynia order, belonging to the tetrandria clafs of plants; and in the natural method ranking under the 1 7th order, Calycanthem/e. The corolla is tetrapeta- lous ; the calyx -quadripartite, fuperior; the capfule tetragonal, quadrilocular, inferior, and polyfpermous. LUES, among phyficians, is in general ufed for a difeafe-of any kind ; but in a more particular fenfe is re ft mined to contagions and peftilential difeafes : thus the lues Gallica, or venerea, fignifies the venereal dif- eafe. See MEDiciNE-/n^.v. LUFF, the order from the pilot 'to the fteerfman to put the helm towards the /rc-fide of the Ihip, in order to make the Ihip fail nearer the direction of the wind. Hence, luff round, or luff a-lee, is the excefs of this movement, by which it is intended to throw the fliip’s head up in the wind, in order to tack her, &c. A Ihip is accordingly faid to fpring her luff tvhen flie yields to the effort of the helm, by failing $ f nearer luff Lk L U K [ 322 1 L U M nearer to the line of the wind than fhe had done before. See alfo Hauling the Wind. I,uFL-'Tach!e, 'a. name given by failors to any large tackle that is not deftined for a particular place, but may be varioufly employed as occafxon requires. It is generally fomewhat larger than the jigger tackle, although fmaller than thofe which ferve to hoift the heavier materials into and out of the veffel, which lat¬ ter are the main and fore-tackles, the ftay and quar¬ ter-tackles, &Ci LUG-sail, a fquare-fail, hoifted occafionally on the mail of a boat or fipall veffel upon a yard which hangs nearly at right angles with the mall. Thefe are more particularly ufed in the barca longas, navigated by the Spaniards in the Mediterranean. LUGHUNUM (anc. geog.), the capital of the Se- gufiani in Gallia Celtica, fituated at the conflux of the Arar and Rhodanus, on an eminence, as the Celtic term dune fignifies; built by Manutius Plancus under Augullus, while commanding in that part of Gaul; and whither he led a colony. Now Lyons, capital of the Lyonois. Lugdunum Batavorum (anc. geog), a town of the Batavi in Gallia Belgica. Now Leyden in Holland. Lugdunum Converarum (anc. geog.), a town of Gaul in Aquitain, at the foot of the Pyrenees. Now S. Bertrand, in Gafcony. LUGEUS lacus (anc. geog.), a lake of Japydia, the wellmotl dillrift of Illyricum, to the fouth of the Save, and near the head of the Arlia. Now commonly called the Zirichnitz Lake, from a fmall adjoining town. It is locked on every fide with mountains; from which fcanty currents run dowb ; the lefs in quantity their waters, becaufe drank up by the earth ; till at length they are fwallowed up in rocky furrows, fo formed as to referable artificial. In thefe the water being fo redun¬ dant as to refufe receiving any more, they regurgitate, and return the water with extraordinary celerity; which thus fpreading itfelf, forms a lake, in moil places 18 cubits high. Thefe waters afterwards retire with no lefs celerity than they came on, not only through the furrows, but pafs through the whole of the bottom, as through a fieve; which when perceived by the in¬ habitants, they diredtly Hop up the larger apertures, and thus take large quantities of fifh : when the lake is dry, they cut down their harvefl on the fpot where they fowed, and fow again before the inundation comes on : and grafs Ihoots fo quick on it, that it may be cut down in three weeks time (Lazius, Wernherus). LUGGERSHALL, a borough of Wiltfhire, 12 miles north of SaKfbury, and 7 5 north by weft of Lon¬ don. It is an ancient borough by prefeription, though but a fmall hamlet, near the foreft of Chute, in a de¬ lightful country ; and was the refidence of feveral kings. It had formerly a caftle. It is governed by a bailiff chofen.yearly at the lord of the manor’s court- leet. On the neighbouring downs there ufed to be horfe-races. It has a fair on the 25 th of July, and lends t>vo members to parliament, LUKE (St),,the evangelift, and the difciple of the apoftles, was: originally of Antioch in Syria, and by profeflion a phyfician. He particularly attached him- felf to. St Paul, and was his faithful companion in his travels and labours. He went with him to Troas in Macedonia about the year 51. He wrote his Gofpel in Achaia about the year 53 ; and, ten years after, Luke the Adis of the Apoftles, which contains a hiftory of II 30 years. Of all the infpired writers of the New Te- Lumbricg* ftament, his works are written in the moft elegant Greek. It is believed that St Luke died at Rome, or in Achaia. Gafpel of St Luxe, a canonical book of the NewTe- ftament. Some uhink that it was properly St Paul’s Gofpel; and that, when the apoftle fpeaks .of his Go¬ fpel, he means what is called St Luke's. Irenoeus fays, that St Luke digefted into writing what St Paul preach¬ ed to the Gentiles; and- Gregory Nazianzen tells us, that St Luke wrote with the affiftance of St Paul. St Luke the Evangeli/l’s Day, a feftival in the Chri- ftian church, obferved on the 18th of Odtober. LULA, a town of Swedilh Lapland; feated at the mouth of the river Lula, on the weft fide of the gulph of Bothnia, 42 miles fouth-weft of Tornea. E. Long. 21. o. N. Lat. 64. 30. Lula Lapmark, a province of Swedifli Lapland ; bounded by that of Tornea on the north, by the Both- nic Gulph on the eaft, by Pithia Lapmark. on the fouth, and Norway on the weft. LULLI (John Baptifl), the moft celebrated an3 moft excellent mufician that has appeared in France ' ’ firtce the revival of learning, was born at Florence. He was taken to France when very young by a perfon of quality ; and.he carried the art of playing on the vio¬ lin to the higheft perfedlion. Louis XIV. made him fuperintendant of mufic. Some time after Perinna ha¬ ving introduced operas into France, and quarrelling with his company, he refigned his privilege to Lulli. Operas were then carried to the utmoft perfeftion by this celebrated mufician, and were attended with con¬ tinual applaufe. Lulli every year, after this time, gave a piece of his own compofition, tiE his death, which happened in 1687. LULLY (Raymond), a famous writer, furnamed the Enlightened Do8or, was born in the ifland of Ma¬ jorca in 1225. He applied himfelfwith indefatigable labour to the ftudy of the Arabian philofophy, to cbe» miftry, phyfic, and divinity ; and acquired great re¬ putation by his works. He at length went to preach the gofpel in Africa; and was ftoned to death ifi Mau¬ ritania, at the age of 80 He is honoured as a martyr at Majorca, whither his body was carried. He wrote many treatifes on all the fciences, in which he fliows much ftudy and fubtilty, but little judgment or foli- dity. A complete edition of his works has been print¬ ed at Mentz.—He ought not to be confounded with Raymond Lully of Terraca, furnamed Neophyta, who from being a Jew turned Dominican friar. This lall Lully maintained feveral opinions that were condem¬ ned by Pope Gregory XI. LUMBAGO, a fixed pain in the fmall of the back. See jMedic in E-Index. LUMBARIS, a name given to the arteries and veins which fpread over the loins. LUMBR1CAL, a name given to four mufcles of the fingers and to as many of the toes. LUMBR1CUS, the Worm, in zoology ;^a genus . of infects belonging to the order of vermes inteftina. The body is cylindrical, annulated, with an elevated- belt near the middle, and a vent-hole on its fide. There are two fpecies of this aninwl. 3 ' ivJUwo- L U M [323 Ltimbricui 1. Lumbritas terreftris, the earth or dew Worm, Mr B ar- Lumlnous 0^^erves* differs extremely in colour and external ap- pearance in the different periods of its growth, which . hasoccafioned peoplelittle acquainted with thevariations of this kind of animals to make four or five different fpe« cies of them ■: The general colour is a dufky red.-— They live under ground, never quitting the earth but after heavy rains or at the approach of {forms, and in the feafon of their amours. The method to force them out is, either to water the ground with infufions of bitter plants, Or to trample on it.' The bare mo¬ tion on the furface of the foil drives them up, in fear of being furprifed by their formidable enemy the mole. The winding progrefiion of the worm is facilitated by the inequalities of its body, armed with fmall, ftiff, fharp-pointed briftles s when it means to infinuate it- See LidHf, Lurti'n.otif. nets , ] L U N LUMINOUSNESS or th< Se». and Sea. Lvminousness of Putrefcent Subjlances* See Light. LUMP-fish. See Cvclopterus. LUNA (anc. geog.), a foreft of Germany, at no great diftance from the Hercynia; below which were the Boemi 2 it was therefore in Moravia, near the fprings of the Marus, now March, which runs into the Danube over againft Carautum. Luna, or Lunnat a town of Gallia Celtic!. Now Clugny in Burgundy. Luna, a town and port of Liguria, at the mouth, of the Macra. The town was but fmall, but the port large and beautiful, according to Strabo. Now ex¬ tin £t, and its ruins called Luna Diftrutta. It was fa¬ mous fof its quarries of white marble, thence called felf into the earth, there oozes from its body a clammy Lunenfe; and for its cheefe, remarkable rather for liquor, by means of which it Aides dowm. It' never its fize than goodnefs, each being a thoufand weight, damages the roots of vegetables. Its food is a fmall Luna, in aftronomy, the moon. ,See Astronomy, . Portion of earth, which it has the faculty of digefting; pajfm. The fuperfluity is ejected by way of excrement', under Luna, in the jargon of the alchemifts, figftifies ft- a vermicular appearance. Earth-worms are herma¬ phrodites, and have the parts of generation placed near the neck: their copulation is performed on the, ground ; nothing being more ufual I'.an to fee it full of holes, which holes are thought to be made by tbofe kind of worms coming to the furface in queft of fe¬ males. During their coition they would fooner fuffer themfelves to be cruAied than parted. 2. The marinus, marine Worm, or lug, is of a pale . q ICLXX1V red col°ur> and the body is compofed of a number of 38. 50.—Another Luna Mans of Ethiopia, from which annular joints; the fitin is fcabrous, arid all the rings the Nile was fuppofed to take its rife. fo called from the fuppofed influence of the mooft thereupon. Lun/i Cornea, in chemiftry, is the combination of marine acid with filver. See Chemistry-/«<3,i?w. I.UNACY, a fpepies of madnefs. See Lunaticj and M£dicine-/«uintiliu To. thefe Casfar added a third, which he called LUPINUS, lupine, in botany : A genus of the decandria order, belonging fo the diadelphia dais of plant’s ; and in the natural method ranking under the 3 2d order, Papilionacea. The calyx is bilabiated; there are five oblong and five roundifti antherse ; the legu- men is coriaceous. There are feven fpecies, fix of them hardy herbaceous flowery annuals, and one per* ennial, rifing with upright ftalks from one to three or four feet high, ornamented with digitate or finger¬ ed leaves, and terminated by long whorled fpikes of papilionaceous flowers, white, blue, yellow, and rofe- coloured. They are all eafily raifed from feed ; and fucceed in any open borders, where they make a fine variety. The feeds of the white lupine, which have a legu¬ minous tafte accompanied with a difagreeable bit¬ ter one, are faid to be anthelmintic, both inter¬ nally taken, and applied externally. Cafpar Hoff¬ man cautions againft their external ufe, and tells us (from one of the Arabian writers) that they have fometimes occafioned death. Simon Pauli alfo fays, that he faw a boy of eight or ten years of age, after taking a dram of thefc feeds in powder, feized with exquifxte pains in the abdomen, a difficulty of refpi¬ ration, and almoft total lofs of voice ; and that he was relieved from thefe complaints by a glyfter of milk and fugar, which brought away a vaft quantity of worms. But Mr Geoffroy obferves, very juftly, that either thefe fymptoms were owing to the worms,, and not to the medicine ; or that thefe feeds, if they have any noxious quality, lofe it with their bitternefs in* boiling; fince they were commonly ufed among the Greeks as food, and recommended by Galen a^ very wholefome. LUPULUS, in botany. See Humulus. LUPUS, in zoology. Sec Canjs. Lvpui-Mctrinuti See Anarrhjchas. LupWSj L U S [ 327 1 L U S Lupus Lupus, in aftronomy. See there, nQ 406. K , LURCHER, a kind of hunting-dog much like a Lufatia. mongrej gre-hound, with pricked ears, a (bagged coat, ^ * and generally of a yellowifh white colour: they are very fwift runners, fo that if they get between the burrows and the conies they feldom mifs; and this is their common pra&ice in hunting: yet they ufe other fubtilties, as the tumbler does, fome of them bringing in their game, and thofe are the beft. It is alfo obfervable, thaj a lurcher will run down a hare at ftretch. LURE, in falconry, a device of leather, in the fhape of two wings, lluck with feathers, and baited with a piece of flefh, to call back a hawk when at con- fiderable diftance. LURGAN, a poll and fair town in the county of Armagh and province of Ulfter in Ireland, 67 miles from Dublin. It is a flourifhing town, agreeably fitua- ted in the midft of a much improved country; and the inhabitants are extenfively engaged in the linen manufa&ure. It Hands on a gentle eminence, about two miles from Lough Neagh, of which it commands a moft beautiful and extenfive profpedl. The fairs are three in the year. N. Lat. 54. 3 5. W. Long. 6.3 x. Lurgan-green, apoft and fair town of Ireland, in the county of Louth and province of Leinfter, 37 miles from Dublin ; a mile beyond which is a hand- fome feat of the earl of Charlemont. It has three fairs in the year. LURIDAi, the name of the 28th order in Lin- nxus’s fragments of a natural method. See Botany, p.462. LUSATIA, a marquifate of Germany, in Upper Saxony; bounded to the eaft by Silefia, to the weft by Mifnia, to the fouth by Bohemia, and to the north by the marquifate of Brandenburgh. Till towards the middle of the 15th century, the Upper Lufatia was called the Mark, i. e. the marquifite or the land of Bu- difst/in and GorUt%; and the Lower only Lufatia, which, it is faid, in the Sclavonic, fignifies “ a woody or marfhy country.” The air of the Upper Lufatia, which is hilly or mountainous, is better than that of the Lower, a great part of which is moorhh and bog¬ gy. Both abound in wood, efpecially the Lower, and turf for fuel. The heathy and mountainous tradts are generally barren ; but the lower champaign and marfti lands are tolerably fertile, producing pafture, wheat, rye, oats, barley, buck-wheat, peafe, lentils, beans, and millet; together with flax, hops, tobacco, fome white and red wine, and what is called manna. Of feveral of thefe articles, however, confiderable quan¬ tities are imported. In this country are found alfo quarries of ftone, medicinal fprings, baftard diamonds, agates, and jafpers, earths and clays for tobacco- pipes and all forts of earthen ware, alum, good iron, , ftbne, vitriolic and copper water; nor is it deftitute of cattle, fifti, and venifon. The rivers Spree, the Schwarze or Black Elfter, and the Pulznitz, have their fources in the Lufatias, which are alfo watered' by the Neifle and Queis. The ancient inhabitants of: this country were the Saxons, who were fucceeded by the Vandals, and thefe by the Sober-Wends, a Scla- vonian people. The prefent inhabitants, the defeen- dants of the Wends, have an odd drefs ; and the lan¬ guage is fo inarticulate, and guttural, that it Lath been faid, it might be pronounced without lips, teeth, or Lufatia. tongue : but the towns are almoft wholly peopled by -v”—” Germans. In the Upper Lufatia are fix towns which appear at the land-diets, 16 fmaller country-towns, and four' market towns. In the Lower are four diet-towns, 13 country-towns, and two market ones. Both marqui- fates were formerly fubjeft either to the kings of Bo¬ hemia, the archdukes of Auftria, or eledtors of Bran¬ denburgh; but, in 1636, both were abfolutely ceded to the eledtor of Saxony, in lieu of the 72 tons of gold which he expended in aflifting the emperor Fer¬ dinand II. againft the Bohemian's. Chriftianity was firft planted in Lufatia in the fe- venth century ; but it was feveral centuries after that before Popery was fully eftablifhed. In the 11 th cen¬ tury many cloifters were erected in the country ; but at the reformation fuch numbers embraced Lutheran-, ifm, that it became the predominant religion, and ftili continues, though there are ftili feveral Roman Ca¬ tholic foundations, churches, market-towns, and vil¬ lages. The enthufiaftic fed! of Hernhuters poff Tes a great influence and efteem here. There are ( >n- fiderable manufactures of woollen and linen fluffs in the Lufatias, efpecially the Upper. At Budiffen, and- in the adjacent country, prodigious quantities of ftock- ' ings, fpatterdalhes, caps, and gloves are made. The linen manufadtures alfo flourifh here, chiefly in the Up¬ per Lufatia, where all forts of linen are made, print¬ ed, and dyed. Exclufive of thefe, there are confider¬ able manufactures of hats, leather, paper, gunpowder, iron, glafs, bleached wax, &c. Though the demand and exportation of thefe commodities, particularly li¬ nens and woollens, is not fo great as formerly, yet it is (till confiderable, and more than overbalances their importations in wool, yarn, filk, wines, fpices, corn, , frefli and baked fruits, garden fluff, and hops. Dif- putes of many years ftanding have fublifted • between the country-artificers and linen-manufadturers on the - one fide, and the diet-towns on the other; the latter unjuftly feeking to exclude the former from any (hare in the hnen trade. The nativesof this country are faid to have quick natural parts, but to be fordidly penu¬ rious. We are told they obferve the Saxon laws much better than they did the Bohemian; Learning hath been much efteemed and encouraged in both marqui- fates fince the reformation. The fchools in the fix diet-towns of Upper Lufatia, particularly at Gorlitz, Budiffen, and Zittau, greatly diftintruifti themfelves, having handfome ftipends. In Lower Lufatia alfo are fome good fchools,- with feipends for the maintenance of (Indents.; Printing is faid to be much followed, and brought to great perfedtion in this country. In Upper Lufatia, the dates confift, ift, of thofe called Jlate-lords ; 2dly, of the prelates ; jdly, of the gentry and commonalty, under which are comprehend¬ ed the counts, barons, nobles, and burgeffes, poffef- fors of fees.and fief-eftates; and, 4thly, of the repre- fentatives of the fix principal towns. "Without the confent of thefe dates no taxes can be impofed, nor any thing of importance, that regards the public, tranfL adted. The diets are ordinary or extraordinary. The ordinary meet once in three years, and the extraordi-' nary when fummoned by the fovereign upon particular emergencies. As to ecclefiajtical matters, the dean of" L TJ S [ 32 Lnf»th Budtflen and his cotififtory cxerciie all manner of epif* JLufira! C0Pa^ jurifdi&ion ; and, among the Proteftants, the jurifdielion belongs either to the fuperior, the upper- office, or the patrons. The revenues arifing to the fuperior or fovereign, from Upper Lufatia, confift partly of the fubfidies granted by the Hates, among which, at prefent, are reckoned capitation and eftate- money ; and partly of the beer-tax, excife, tolls, &c. —Upper. Lufatia is divided into two great circles, viz. thofe of Budiflen and Gorlitz, which are again divided into leffer circles. The land-ftates of Lower Lufatia confift, like thofe of the Upper, of prelates, lords, and knights, and the reprefentatives of the Hate towns, which are Luc- kau, Gubberi-Lubbin, and Kalau. Two land diets i are yearly held at Lubben, called voluntary-diets ; but when the fuperior caufes the Hates to be fummoned together at his difcretion, and proportions to be laid before them, by commiflaries deputed for that pur- pofe, fuch convention is called a great land-diet. The marquifate is divided into five circles, each of which ' holds a circle-aflembly in its circle-town. The chief officers appointed either by the fuperior or the ftates, are, the prefident of the upper-office, the land-captain, and the land-judge. The principal tribunals are, the land-court, and the upper-office, to which lie appeals from the inferior judicatories. There are alfo officers for the feveral circles. Spiritual matters belong here to a confiftory, erected in 1668. The ordinary taxes are paid into the cheft of the circle ; and from thence configned to the general cheft, of which the upper tax-receiver is fuperintendant. By him an annual ac¬ count of the receipts is made out, which is examined and pafled by the deputies of the ftates. . LUSITANIA (afic. geog.), one of the divifions of Spain, extending to the north of the Tagus, quite to the fea of Cantabria, at leaft to the Promontorium Celticum. But Auguftus, by a new regulation, made the Anas its boundary to the fouth, the Durius to the north; and thus conftituting only a part of the modern Portugal. Lujitani the people, (Diodorus, Stephanus). , LUSTRAL, an epithet given by the ancients to the water ufed in their ceremonies to fprinkle and pu¬ rify the people. From them the Romanifts have bor¬ rowed the holy water ufed in their churches. Lustral Day, (Dies Lujlricus), that whereon the luftrations wrere performed for a child,’and its name given ; which was ufually the ninth day from the birth of a boy, and the eighth from that of a girl. Tho’ others performed the ceremony on the laft day of that 'week wherein the child was "born, and others on the fifth day from its birth. Over this feaft-day the goddefs Nundina was fup- jpofed to prefide ; the midwifes, nurfes, and domeftics, handed the child backwards^ and forwards, around a fire burning on the altars of the gods, after which they fprinkled it with water; hence this feaft had tire name of amphidromia. rl he old women mixed faliva and dull with the water. The whole ended with a fumptuous entertainment. The parents received gifts from their friends on this occafion. If the.child wasa male, their door was decked with an olive garland; if a female, with wool, denoting the work about which women *vere to be employed. N° 189. 8 ] L V S LUSTRATION, in antiquity, facrificee,or cere-Lnftratloe# monies by which the ancients purified their cities, Luftre. fields, armies, or people, defiled by any crime or im- purity. Some of thefe luftrations were public, others private. There were three fpecies or manners of per¬ forming luftration, by fire and fulphur, by water, and by air ; which laft was done by fanning and agi~ ■ tating the air round the thing to be purified. Some of thefc luftrations were neceftary, i e. could not be difpenfed with ; as luftrations of houfes in time of a plague, or upon the death of any perfon s others again were done out of choice, and at pleafure. .The public luftrations at Rome were Celebrated every fifth year ; in which they led a vi&im thrice round the place tej be purified, and in the mean time burnt a great quan¬ tity of perfumes. Their country luftrations, which' they called ambarvalia, wer$ celebrated before they began to reap their corn : in thofe of the armies, which they called armdujlria, fame chofen. foldiers, crowned with laurel, led the viftims, which were a cow, a Iheep, and a bull, thrice round the army ranged in battle- array in the field of Mars, to which deity the victims were afterwards facrificed, after pouring out many imprecations upon the enemies of the Romans. The luftrations of their flocks were performed in this man¬ ner : the fhepherd fprinkled them with pure water, and thrice furrounded his Iheepfold with a compofition of favin, laurel, and brimftone fet on fire ; and after¬ wards facrificed to the goddefs Pales an offering of milk boiled, wine, a cake, and millet. As for private houfes, they were luftrated with water, a fumigation of laurel, juniper, olive-tree, favin, and fuch like ; and the viClim commonly was a pig. Luftrations kmad<* for particular perfons were commonly called expiations, and the victims piacula. There was alfo a kind of luftration ufed for infants, by which they were purified, girls the third,and boys the ninth, day after their birth ; which ceremony was performed with pure water and fpittle. See the article Ambarvalja.—-In their lu- ftratory facrifices, the Athenians'facrificed two men, one' for the men of their city, and the other for the women. Divers of thefe expiations were auftere: feme faffed ; others abftained from all fenfual pleafures ; and fome, as the priefts of Cybele, caftrated themfelves. The poftures of the penitents were different according to the different facrifices. The priefts changed their ha¬ bits according to the ceremony to be performed; white, purple, and black, were tl>e moft ufual colours. They call into the river, or at leaft; out of the city, the ani¬ mals or other things that had ferved for a luftration or facrifice of atonement; and thought themfelves threa¬ tened with fome great misfortune when by chance they trod upon them. Part of thefe ceremonies were abo- lifhed by the emperor Conftantine, and his fucceffors : the reft fubfifted till the Gothic kings were mafters of Rome ; under whom they expired, excepting what the popes thought proper to adopt and bring into the church. For the luftration, or rather expiation, of the ancient Jews, fee Expiation. LUSTRE, the glofs or brightnefs appearing on any thing, particularly on manufaftures of'filk, wool, or fluff. It is likewife ufed to denote the compofition or manner of giving that glofs. The luftre of filks is given them by wafhlng in foap, then L U S [ 329 ] L U T L«ftre then clear water, and dipping them in alum water cold. n To give {luffs a beautiful luftre : For every eight pounds Lutetia. 0f ftuff all0w a quarter of a pound of linfeed ; boil it iJ"' » half an hour, and then {train it through a cloth, and let it {land till it is turned almoft to a jelly : after¬ wards put an ounce and a half of gum to diffolve 24 hours ; then mix the liquor, and put the cloth into this mixture , take it out, dry it in the {hade, and prefs it. If once doing is not fufficient, repeat the operation. Curriers give a luftre to black leather firft with juice of barberries, then with gum-arabic, ale, vinegar, and Flanders-glue, boiled together. For coloured leather, they ufe the white of an egg beaten in water. Mo- roccoes have their luftre from juice of barberries? and lemon or orange. For hats, the luftre is frequently given with common water ; fometimes a little black dye is added : the fame luftre ferves for furs, except that for very black furs they fometimes prepare a luftre of galls, copperas, Roman alum, ox’s marrow, and other ingredients. Lustre, an appellation given to a branched candle- ftick, when made of glafs. See Branch and Jjssse. LUSTRINGS. A company was incorporated for making, dreffing, and luftrating alamodes and hiftrings in England, who were to have the foie benefit thereof, by ftat. 4 and 5 William and Mary. And no foreign filks known by the name of lujlrings or alamodes are to be imported but at the port of London, &c. Stat. 9. and ro. W. III. c. 43. See Silk. LUSTRUM, in Roman antiquity, a general mufter and review of all the citizens and their goods, which was performed by the cenfors every fifth year, who afterwards made a folemn luftration. See the article Lustration. TMs cuftom was firft inftituted by Servius Tullius, about 180 years after the foundation of Rome. In courfe of time the luftra were not celebrated fo often ; for we, find the fifth luftrum celebrated at Rome only in the 5'; 4th year of tluit city. LUTE, or Luting, among chemifts, a mixed, te¬ nacious, duftile fubftance, which grows folid by dry¬ ing, and, being applied to the jundture of veffels, flops them up fo as to prevent the air from getting either in or out. See CHEMisTRV-Znfltx. Lute, is alfo a mufical inftrument with firings.— The lute confifts of four parts, wz. the table, the body or belly, which has nine or ten fides ; the neck, which has nine or ten flops or divifions, marked with firings; and the head or crofs, where the fcrew for raifing and lowering the firings to a proper pitch of tone are fixed. In the middle of the table there is a rofe paflage for the found ; there is alfo a bridge that the tuings are faftened to, and a piece of ivory between the head and the neck to which the other extremities of the firings are fitted. In playing, the firings are ftruck with the right hand, and with the left the flops are preffed. The lutes of Bologna are efteemed the beft on account of the wood, which is faid to have an uncommon dif- pofition fi r producing a fweet found. LUTETIA parisiorum, (anc. geog.), a town of the Parifii, in Gallia Celtica, lituated in an ifland in the Sequana or Seine. It received its name, as fame fuppofe, from the quantity of clay, lutum, which is in its neighbourhood. J. Casfar fortified and embelliftied it, from which circumftance fome authors call it Juki Ci- Vol. X. Part I. vitas. Julian the apoftate refided there for fome time. It is now Paris, the capital of France ; fo called from its name Paryis in the lower age. LUTHER (Martin), the celebrated author of the Reformation, was a native of Eiileben ir ''axony, and born in 1483. Though his parents were poor, he re¬ ceived a learned education ; during the progrefs of which, he gave many indications of uncommon vigour and acutenefs of genius. As his mind was naturally fufceptible of ferious impreffions, and tinftured with fomewhat of that religious melancholy which delights in the fiditude and devotion of a monaftic life, he re¬ tired into a convent of Auguftinian friars ; where he acquired great reputation, not only for piety, but for love of knowledge and unwearied application to ftudy. The caufe of this retirement is faid to have been, that he was once ftruck by lightning, and his companion kil¬ led by his fide by the fame flaflr. He had been taught the fcholaftic philofophy which was in vogue in thofe days, and made confiderable progrefs in it: but hap¬ pening to find a copy of the bible which lay neglected in the library of his monaftery, he applied himfelf to the ftudy of it with fuch eagernefs and affiduity, as quite aftoniihed the monks ; and increafed his reputa¬ tion for fandtity fo much, that he was chofen profeffor firft of philofophy, and afterwards of theology, at Wit- temberg on the Elbe, where Frederic eleftor of Saxony had founded an univerfity. While Luther continued to enjoy the higheft repu¬ tation for fandtity and learning, Tetzel, a Dominican friar, came to Wittemberg in order to publifti indul¬ gences. Luther beheld his fuccefs with great con¬ cern ; and having firft inveighed againft indulgences from the pulpit, he afterwards publiftied 95 thefes, containing his fentiments on that fubjedl. Thefe he propofed, not as points fully eftablilhed, but as fub- jedts of inquiry and difputation. He appointed a day on which the learned were invited to impugn them either in perfon or by writing j and to the whole he Tubjoined folemn prqteftations of his high refpedt for the apoftolic fee, and of his implicit fubmiffion to its authority. No opponent appeared at the time pre¬ fixed ; the thefes fpread over Germany with aftonifli- ing rapidity, and were read with the greateft eagernefs. Though Luther met with no oppofition for fome little time after he began to publifli his new dodtrines, it was not long before many zealous champions arofc to defend thofe opinions with which the wealth and power of the clergy were fo ftridtly connected. Their caufe, however, was by no means promoted by thefe endeavours ; the people began to call in queftion even the authority of the canon law and of the pope him¬ felf.—The court of Rome at firft defpifed thefe new dodtrines and difputes; but at, laft the attention of the pope being raifed by the great fuccefs of the re¬ former, and the complaints pf his adverfsries, Luther was fummoned, in the month of July 1318, to ap¬ pear at Rome, within 60 days, before the auditor of the chamber. One of Luther’s adverfaries, named Prierias, who had written againft him, was appointed to examine his dodtrines, and to decide concerning' them. The pope wrote at the fame time to the elec¬ tor of Saxony, befeeching him not to protedl a man whofe heretical and profane tenets were fo {hocking to pious ears; and enjoined the provincial of the Au- T t guftinians L U T [ 33° 1 L U T either, guftinians to check by his authority the rafhnefs of an arrogant monk, which brought difgrace upon their order, and gave offence and difturlMnce to the whole church. From thefe letters, and the appointment of his open enemy Prierias to be his judge, Luther eafily faw what fenterrce he might expect at Rome ; and there¬ fore difcovered the utmoft folicitude to have his caufe tried in Germany, and before a lefs fufpe&ed tri- burial. He wrote a fubmiflive letter to the pope, in which he promifed an unreferved obedience to his will, for as yet he entertained no doubt of the divine ori¬ ginal of the pope’s authority ; and by the interceffion of'the other profelTors, Cajetan the pope’s legate in Germany was appointed to hear and determine the caufe. Luther appeared before him without heiita- tion: but Cajetan thought it below his dignity to difpute the point with a perfon fo much his inferior in rank and therefore required him, by virtue of the apoftolic powers with which he was clothed, to retradt the errors-which he had uttered with regard to indul¬ gences and the nature of faith, and to abftain for the future from the publication of new and dangerous opinions ; and at»the lafl: forbad him to appear in his prefence, unlefs he propofed to comply with what had been required of him. This haughty and violent manner of proceeding, together with fame other circumftances, gave Luther’s friends fuch ftrong reafons to fufpect that even the imperial fafe-condudl would nqt be able to protect him from the legate’s power and refentment, that they prevailed on him fecretly to withdraw from Augfburg, where he had attended the legate, and to return to his own country. But before his departure, according to a form of which there had been fame examples, he prepared a folemn appeal from the pope, ill-informed at that time concerning his caufe, to the pope, when he fhould receive more full intimation with refpedt to it.—Cajetan, enraged at Luther’s abrupt retreat, and at the publication of his appeal, wrote to the elector of Saxony, complaining of both; and requiring him, as he regarded the peace of the church, or the authority of its head, either to fend that feditious monk a prifoner to Rome, or to banifh him out of his territories^ Frederic had hitherto, from political motives, protefted Luther, as thinking he might be of ufe in checking the enormous power of the fee of Rome j and though all Germany refounded with his fame, the ele&or had never yet admitted him into his prefence. But upon this demand made by the cardinal, it became neceffary to throw off fomewhat of his former referve. He had been at great expence and beftowed much attention on found¬ ing a new univerfity, an object of confiderable impor¬ tance to every German prince; and forefeeing how fatal a blow the removal of Luther would be to its reputation, he not only declined complying with either of the pope’s requefts, but openly difcovered great con¬ cern for Luther’s fafety. The fituation of our reformer, in the mean time, became daily more and more alarming. He knew very well what were the motives which induced the eleftor to afford him protection, and that he could by no means depend on a continuance of his friendlhip. If he Ihould be obliged to quit Saxony, he had no other afylum, and muff ftand expofed to whatever Lather. puniihment the rage or bigotry of his enemies could ' V"*- infliCt ; and fo ready were his adverfaries to condemn him, that he had bees declared^ a heretic at Rome before the expiration of the 6o days allowed him in the citation for making his appearance. Notwith- llanding all this, however, he difcovered no fymptoms of timidity or remiffnefs ; but contin ued to vindicate his own conduCt and opinions, and to inveigh againit thofe of his adverfaries with more vehemence than ever. Being convinced, therefore, that the pope would foon. proceed to the molt violent meafures againft him, he appealed ta a general council, which he affirmed to be the reprefentative of the Catholic church, and fuperror in power to the pope, who being a fallible man, might err, as St Peter, the moft.perfeCl of his predeceffors, had done. The court of Rome were equally affiduous in the mean time to cruffi the author of thefe new doCtrines which gave them fo. much unealinefs. A bull was iffued by the pope, of a date prior to Luther’s ap¬ peal, in which he magnified the virtues of indulgences, and fubjeCled to the heavieft ecclefiaftical cenfures all who preformed to teach, a contrary doftrine. Such a clear decifion of the fovereign pontiff againfl him might have been very fatal.to Luther’s caufe, had not the death of the emperor Maximilian, which happened on January 17. 1519, contributed to give fnatters a. different turn. Both the principles and intereft of Maximilian had prompted him to fupport the authori¬ ty of the fee of Rome: but, in confequence of his death, the vicariate of that part of Germany yvhich is governed by the Saxon laws devolved to the eleCtor of Saxony ; and, under the fhelter of his friendly ad— miniftration, Luther himfelf enjoyed tranquillity, and. his opinions took fuch root in different places, that- they could never afterwards be eradicated. At the fame time, as the. election of an emperor was a point more interefting to the pope (Leo X.) than a theolo¬ gical controverfy which he did not.underftand, and of which he could not forefee the confequences, he was fo extremely folicitous not to irritate a prince of fuch. confiderable influence in the electoral college as Fre¬ deric, that he difcovered a great unwillingnefs to pro¬ nounce the fentence of excommunication againff- Lu- ther, which his adverfaries continually demanded with the moft clamorous importunity. From the reafon juft now given, and Leo’s natu¬ ral averfion to fevere meafures, a fufpenfion of pro¬ ceeding againft Luther took , place for 18 months* though perpetual negociations were carried on during this interval in order to bring the matter to an ami¬ cable iffue. The manner in which thefe were con- du&ed having given our reformer many opportunities of obferving the corruption, of the court of Rome, its obftinacy in adhering to eftabliflied errors, and its in¬ difference about truth, however clearly propofed or ftrongly proved, he began, in 1520, to utter fome doubts with regard to the divine orignial of the papajf authority, which he publicly difputed with Eccius, one of his moft learned and formidable antagonifts. The difpute was indecifive, both parties claiming the viftory ; but it mull have been very mortifying to the partizans of the Romifh church to hear fuch an effen- tial point of their doftrine publicly attacked. The L U T r 33* i L XT T The Papal authority being once fufpefted, Luther hefitate one moment about yielding obedience ; and Luth ■ proceeded to pufh on his inquiries and attacks from one doftrine to another, till at lafl he began to fiiake fet out for Worms,' attended by the herald who had ' brought the emperor’s letter and fafe-conduft. While the firmed foundations on which the wealth and power on his journey, many of his friends, whom the fate of ef the church were eftabliihed. Leo then began*tp perceive that there were no hopes of reclaiming fuch an incorrigible heretic ; and therefore prepared to de¬ nounce the fenlence of excommunication againft him. The college of cardinals was often affembled, in order to prepare the fentence with due deliberation ; and the abled canonifts were confulted how it might be ex- preffed with unexceptionable formality. At lad it was i filled on the 15th of June 1520. Forty-one propofi- tions, extracted out •of Luther’s works, were therein Hufs, under fimilar circumdances, and notwithdand- ing the fame fecurity of an imperial fafe-conduft, fill¬ ed with folicitude, advifed and intreated him not to rufh w antonly into the midd of danger. But Luther, fuperior to fuch terrors, filenced them with this reply, “ I am lav fully called (faid he) to appear in that city ; and thither will I go in the name of the Lord, though as many devils as there are tiles on the houfes were there combined againd me.” The reception which he met with at Worms, was condemned as heretical, fcandalous, and offenfive to fuch as might have been reckoned a full reward of all pious ears ; all perfons were forbidden to read his wri- his labours, if vanity and the love of applaufe had been tings, upon pain of excommunication ; fuch as had any the principles'by which he was influenced. Greater of them in their cudody were commanded to commit crowds aflembled to behold him than had appeared them to the flames ; he hknfelf, if he did not, within at the emperor’s public entry; his apartments were 60 days, publicly recant his errors, and burn his books, daily filled with princes and perfonages of the highed was pronounced an obdinate heretic, excommunicated, rank ; and he was treated with an homage more fin- and delivered to Satan for the deftmftion of the flefii'; cere, as well as more flattering, than any which pre- and all fecular princes were required, under pain of eminence in birth or condition can command. At his incurring the fame cenfure, to feize his perfon, that he appearance before the diet, he behaved with great de¬ might be punilhed as his crimes deferved. Luther was not in the lead difconcerted by this fen¬ tence, Which he had for frame-time expefted. He re¬ newed his appeal to his general council ; declared the pope to be that antichrid, or man of fin, whofe ap¬ pearance is foretold in the New Tedament; declaim¬ ed againd his tyranny with greater vehemence than ever ; and at lad, by way of retaliation, having affem- cency, and with equal firmnefs. He readily acknow¬ ledged an excefs of acrimony and vehemence in his controverfial writings ; but refufed to retract his opi¬ nions unlefs he were convinced of their falfehood, or to confcwt to their being tried by any other rule than, the word of God. When neither threats nor intreaties could prevail on him.- to depart from this refolutron^ fome of the ecclefiadics propofed to imitate the ( bled all the' profeffors and dudents in the univerfity ample of the council of Condance, and, by punifhing of Wittemberg, with great pomp, and in the pre- the author of this pedilent herefy, who was now in. fence of a.wad multitude of fpeftators, he cad the vo- their power, to deliver the church at once from fuch lumes of the canon law, together With the bull of ex- an evil. But the members of the diet refuling to ex- communication, into the flames. The manner in which this adlion was judified, gave dill more offence than the action itfelf. Having collected from the canon law pofe the German integrity to ft fh reproach by a fe- cond violation of public faith, a d Charles being no lefs unwhlling to bring a dain won the beginning of fome of the mod extravagant propofitions with regard his adminidration by fuch an ignominious aftion, Lu- to, the plenitude and omnipotence of the pope’s power, ther was permitted to depart in fafety. A few days as well as the fubordination of all fecular jurifdiftion after he left the city, a fevere edift was publiflied in to his authority, he publiflied thefe with a commen- the emperor’s name, and by authority of the diet, de» tary, pointing out the impiety of fuch tenets, and their priving him, as an obdinate and excommunicated cri¬ minal, of all the privileges which he enjoyed as a fub- jeft of the empire, forbidding any prince to harbour- or protect him, and requiring all to feize his perfon as foon as the term fpecified in his protection fliould be • expired. But this rigorous decree had no eonfiderable effeft the execution of it being prevented partly by the mul¬ tiplicity of occupations which the commotions in Spain* v together with the wars in Italy and the Low Coun¬ tries, created to the emperor ; and partly by a pru- heretic. Such an abrupt manner of proceeding, how- dent precaution employed by the elector of Saxony,. evident tendency to fubvert all civil government. On the acceffion of Charles V. to the empire, Lu¬ ther found himfelf in a very dangerous fituation. Charles, in order to fecure the pope’s friendfhip, had determined to treat him with great feverity. His ea- gernefs to gain this point, rendered him not averfe to gratify the papal legates in Germany, who infifted, that, without any delay or formal deliberation, the diet then fitting at Worms ought to condemn a man whom the pope had already excommunicated as an incorrigible ever, being deemed unprecedented and unjuit by the members of the diet, they made a point of Luther’s Luther’s faithful patron. As Luther, on his return from Worms, was palling near Altenltrain in Thurin- appearing in perfon, and declaring whether he adhered gia, a number of horfemeu in walks rulhed fuddenly or not to thofe opinions which had drawn upon him out of a wood, where the elector had appointed them the cenfures of the church. Not only the emperor, but to lie in wait for him, and, furrounding his company* all the princes through whofe territories he had to carried liim, after difmiffing all his attendants, to pafs, granted him a fafe conduft ; and Charles wrote Wortburg, a ftrong caftle not far diftant. There the to him at the fame time, requiring his immediate at- eledfor ordered him to be fuppliea with every thing tendance on the diet-, and renewing his promifes of pro- neceffary or agreeable ; but the place of his retreat was te&ion from any injury or violence. Luther did not carefully concealed, until the fury of the pfeftnt ftorm T t 2 agaiull L U T C 332 3 L U T I.vtRer. againft him began to abate, upon a change in the po- litical fyftem of Europe. In this folitude, where he remained nine months, and which he frequently called his Patmos, after the name of that ifland to which the apoftle John was banilhed, he exerted his ufual vigour and induftry in defence of his doftrines, or in confu¬ tation of his adverfaries, publifhing feveral treatifes, which revived the fpirit of his followers, aftonifhed to a great degree and difheartened at the fudden difap- pearance of their leader. Luther, weary at length of his retirement, appeared publicly again at Wittemberg, upon the 6th of March 1522. He appeared indeed without the eleftor’sleave; but immediately wrote him a letter, to prevent his ta¬ king it ill. The edift of Charles V. as fevere as it was, had given little or no check to Luther’s doctrine : for the emperor was no fooner gone into Flanders, than his edi£t was neglected and defpifed, and the doftrine feemed to fpread even falter than before. Carololla- dius, in Luther’s abfence, had pufhed things on falter than his leader ; and had attempted to abolilh the ufe of mafs, to remove images out of the churches, to fet afide auricular confelfion, invocation of faints, the ab- ftaining from meatshad allowed the monks to leave their monalteries, to negledt their vows, and to many; i Ihort, had quite changed the doctrine and difcipline of the church at Wittemberg: all which, though not againft Luther’s fentiments, was yet blamed by him, as being rafhly and unfeafonably done. Lutheranifm was Hill confined to Germany; it was not got to France ; and Henry VIII. of England made the moft rigorous afts to hinder it from invading his realm. Nay, he did fomething more : to Ihow his zeal for re¬ ligion and the holy fee, and perhaps his Ikill in theo¬ logical learning, he wrote a treatife Of the Jensen facra- ments, againft Luther’s book Of the captivity of Babylon ; which heprefented to Leo X. in October 1521. The pope received it very favourably \ and was fo well pleafed with the king of England,, that he compliment¬ ed him with the title of Defender of the faith* Luther, however, paid no regard to his kinglhip; but anfwered him with great lharpnefs, treating both his perfon and performance in the moft contemptuous manner. Henry complained of Luther’s rude ufage of him to the princes of Saxony 1 and Filher, bilhop of Rochefter, replied to his anfwer, in behalf of Henry’s treatife : but nei¬ ther the King’s complaint, nor the biihop’s reply, was attended with any vifible effects. Luther, though he had put a flop to the violent proceedings of Caroloftadius, now made open war with the pope and biihops ; and, that he might make the people defpife their authority as much as poffible, he wrote one book againft the pope’s bull, and another againft the order falfely called the order of bi- Jhops. The fame year, 1522, he wrote a letter, dated July the 29th, to,the affembly ofthe ftates of Bohemiay pi which he affured them that he was labouring to tftablilh their do&rine in Germany, and exhorted them, itot ta.return to the communion ofthe church of Rome;; and he publilhed alfo, this year, a tranflation of the New Teftament in the German tongue, which was af¬ terwards correfted by himfelf and Melan&hon. This tranflation having been printed feveral times, and be¬ fog in, every body’s hands, Ferdinand afchduke of Au- ftria, the emperor’s brother, made a very feverc edi&, to hinder the farther publication of it; and forbad all the fubjefts of his imperial majefty to have any copies of it, or of Luther’s other books. Some other princes followed his example ; and Luther was fo angry at it, tnat he wrote a treatife, .Of tlxfecular power, in which he accufes them of tyranny and impiety. The diet of the empire was held at Nurenhurg, at the end of the year; to which Hadrian VI. fent his brief, dated No¬ vember the 25th : for Leo X. died upon the 2d of Dc~ cember 1521, and Hadrian had been eleited pope up¬ on the 9th of January following. In his brief, among other things, he obferves to the diet, how he had heard, with grie(, that Martin Luther, after the fentence of Leo X. which was ordered to be executed by the edi& of Worms, continued to teach the fame errors, and daily to publilh books full of herefies : that it appear¬ ed ftrange to him, that fo large and fa religious a na¬ tion could be feduced by a wretched apoftate friar ; that nothing, however, could be more pernicious to Chriftendom : and that therefore he exhorts them to ufe their utmoft endeavours to make Luther, and the authors of thefe tumults, return to their duty ; or, if they refufe and continue obftinate, to proceed againlt them according to the laws of the empire, and the fe- verity of the laft edidt. The refolution of this diet was publiflied in the form, of an edidl, upon the 6th of March 1523 ; hut it had no effedt in checking the Lutherans, who ftill went on in the fame triumphant manner. This year Luther wrote a great many pieces : among the reft, one upon the dignity and office of the fupreme magiftrate; which Frederic eledtor of Saxony is faid to have been highly pleafed with. He fent, about the fame time, a writing in the German language to, the Waldenfes, or Pickards, in Bohemia and Moravia, who had ap¬ plied to him “ about worfhipping the body of Chrift in the eucharift.” He wrote alfo another book, which, he dedicated to the fenate and people of Prague, “ about the inftitution of minifters of the church.” He drew up a form of faying mafs. He wrote a piece, entitled, yin example of popijh doBrine and divinity; which Dupins calls a fatire againj nuns and thofe who profefs a monqftic life* He wrote alfo. againft the vows of-virginity, in his preface to his commentary on 1 Cor. viii. And his exhortations here were, it feems, followed with effects: for foon after, nine nuns, among whom was Catharine de Bore, eloped from the nun¬ nery at Nimptfchen, and were brought, by the affift- ance of Leonard Coppen, a burgefs of Torgau, to Wit¬ temberg. Whatever offence this proceeding might give to the Papifts, it was highly extolled by Luther; who, in a book written in the German language, compares the deliverance of thefe nuns from the flavery of a mo- naftic life, to that of the fouls which Jefus Chrift has delivered by his death. This year Luther had occa- fion to canonize two of his followers, who, as Melchior Adam relates, were burnt at Bruffels in the beginning of July, and were the fir-ft who fuffered martyrdom for his doftrine- He wrote alfo a confolatory epiftle to three noble ladies at Mifnia, who were baniihed from the duke of Saxony’s court at Friburg, fox reading his books. In the beginning of the year 1524, Clement VIL fent 1 U T [ 333 ] L U T Luther, fent a legate into Germany to the diet, which was to be held at Nurenburg Hadrian VI died in October 1523, and was fucceeded by Clement upon the 19th of November. A little before his death he canonized Berino, who was hilltop of MeilTen in the time of Gre¬ gory VII. and one of the molt zealous defenders of the holy fee Luther, imagining that this was done diredtly to oppofe him, drew up a piece with this title, Again]] the New Idol and Old Devil fet up at Meijjen ; in which he treats the memory of Gregory with great freedom, and does not fpare even Hadrian. Cle¬ ment VII.’s legate reprefented to the diet of Nuren¬ burg the neceffity of enforcing, the execution of the ediA of Worms, which had been flrangely negle&ed by the princes of the empire : but, notwithdanding the legate’s folicitations, which were very preffing, the decrees of that diet were thought fo ineffe&ual, that they were condemned at Rome, and rejefted by the emperor. It was in this year that the difpute between Luther and Erafmus, about free-will, began. Erafmus had been much courted by the Papiils to write againft Luther ; but he was all along of opinion, that writing would not be found an effedtual way to end the diffe¬ rences and eftablilh the peace of the church. How¬ ever, tired out at length with the importunities of the pope and the Catholic princes, and defirous at the fame time to clear himfelf from the fufpicion of favour¬ ing a caufe which he would not feem to favour, he re- folved to write againll Luther, though, as he tells Me- landlhon, it was with fome reluftance, and chofe free¬ will for the fubjeft. His book was intitled, ADiatri- la, or Conference about Free-will; and was written with much moderation, and without perfonal reflexions. He tells Luther in the preface, “ That he ought not to take his diffenting from him in opinion ill, becaufe he had allowed himfelf the liberty of differing from the judgment of popes, councils, univerfities, and doXors of the church.” Luther was fome time before he an- fwered Erafmus’s book; but at lafl: publifhed a treatife De Servo Arbitrio, or Of the Servitude of Man’s IVill; and though MelanXhon had promifed Erafmus, that Luther fnould anfwer him with civility and modera¬ tion, yet Luther had fo little regard to MelanXhon’s promife, that he never wrote any thing fharper. He accufed Eraimus of being cartlefs about religion, and little folicitous what became of it, provided the world continued in peace; and that his notions were rather philofophical than Chriltian Erafmus immediately re¬ plied to Luther,- in a piece called Hyperafpifles ; in the firft part of which he anfwers his arguments, and in the fecond his perfonal refleXions. • In ©Xober 15:24, Luther flung off the monaftic ha¬ bit ; which, though not premeditated and defigned, was yet a very proper preparative to a Hep he took the year after j we mean, his marriage with Catharine de Bore. Catharine de Bore was a gentleman’s daugh¬ ter, who had been a nun, and was taken, as we have ©bferved, out of the nunnery of Nimptfchen, in the year 1523. Luther had a deflgn, as Melchior Adam relates, to marry her to Glacius, a minifler of Orta- tnunden: but fhe did not like Glacius.; and fo Luther married her himfelf upon the 13th of June 1525, This conduX of his was blamed not only by the Ca¬ tholics, but, as MelanXhon fays, by thofe of his own party. lie was even for fojne time afhamed of it him¬ felf ; and vowns, that bis marriage had made him fo defpicable, that he hoped his humiliation would rejoice the angels, and vex the devils. MelanXhon found him fo affliXed with what he had done, that he wrote fome letters of confolation to him. It was not fo much the marriage, as the circumftances of the time, and the pre¬ cipitation with which it was done, that occafioned the cenfures pafled upon Luther. He married all of a fud- den, and at a time when Germany was groaning under the miferies of a war which was faid at lealt to be owing to Lutheranifm. Then, again, it was thought an indecent thing in a man of 42 years of age, who was then, as he pretended, reftoring the Gofpel, and reforming mankind, to involve himfelf in marriage with a woman of 26, either through incontinence, or any account whatever. But Luther, as foon as he had re¬ covered himfelf a little from this abalhment, aflumed his former air of intrepidity, and boldly fupported what he had done with reafons. “ I took a wife (fays he), in obedience to my father’s commands; and haftened the confummation, in order to prevent impediments, and Hop the tongues of flanderers.” It appears from his own confeffion, that this reformer was very foud of Mrs de Bore, and ufed to call her his Catharine; which made profane people think and fay wicked things of him: “And therefore (fays he) I mar¬ ried of a fudden, not only that I might not be obliged to hear the clamours which I knew would be raifed againH me, but to Hop the mouths of thofe who re¬ proached me with Catharine de Bore.” Luther alfo gives us to underlland, that he did it partly as con¬ curring with his grand fcheme of oppofmg the Catho¬ lics. Luther, notwithHanding, was not himfelf altogether fatisfied with thefe reafons. He did not think the Hep he had taken could be fufficiently jullified upon the principles of human prudence ; and therefore we find him, in other places, ‘endeavouring to account for it from a fupernatural impulfe. But whether there was any thing divine in it or not, Luther found himfelf extremely happy in his-new Hate, and efpecially after his wife had brought him a fon. “ My rib Kate (fays he in the joy of his heart) defires her compliments to you, and thanks you for the favour of your kind let¬ ter. She is very well, through God’s mercy. She is obedient and complying with me in all things; and more agreeable, I thank God, than I could have expeXed t fo that I would not change my poverty for the wealth of Croefus.” He was heard to fay (Seckendorf tells us),, that he would not exchange his wife for the king¬ dom of France, nor for the riches of the Venetians; and that for three reafons: firfi, Becaufe Ihe kid been given him by God, at the time when Ire implored the ailiilance of the Holy GhoH in finding a good wife fecondly, Becaufe, though fne was not without faults, yet flte had fewer than other womenand, thirdly,, Becaufe Ihe religioufly obferved the conjugal fidelity fhe owed him. There went at firfi a report, that Ca¬ tharine de Bore was brought to bed foon after her marriage with Luther ; but Erafmus, who had wrote that news to his friends, acknowledged the fallity of it a little after. His marriage, however, did not retard his aXivity and diligence in the work of reformation. He reviled: the Auglburg eonfeffion of faith,, and apology for the Puo*. Luther. L U T [ 334 ] X U T Luther. Proteflants, when the ProteRant religion was firil efta- blifhed on a firm bafis. See Protestants and Re¬ formation. After this, Luther had little elfe to do than to fit down and contemplate the mighty work he had finifh- ed : for that a fingle monk fhould be able to give the church fo rude a (hock, that there needed but fuch an¬ other entirely to overthrow it, may very well feem a mighty work. He did indeed little elfe: for the re¬ mainder of his life was fpent in exhorting princes, ftates, and univerfitie.s, to confirm the reformation which had been brought about through him; and pub- lifhing from time to time fuch writings as might en¬ courage, direft, and aid, them in doing it. The em¬ peror threatened temporal punifhment with armies, and the pope eternal with bulls and anathemas; but Luther cared for none 6f their threats. His friend and co¬ adjutor Melanfthon was not fo indifferent; for Me- lanfthon had a great deal of foftnefs, moderation, and diffidence in his make, which made him very uneafy, and even forrawfill, in the prefent diforders. Hence we find many of Luther’s letters written on purpofe to fupport and comfort him under thefe feveral diflreffes and anxieties. In the year 1533, Luther wrote a confolatory epiftle to the citizens of Ofchatz, who had fuffered fome hardffiips for adhering to the Augfburg confef- fion of faith; in which, among .other things, he fays'4 “ The devil is the hoft, and the world is his inn ; fo that wherever you come, you (hall be fure to find this ugly hoft.” He had alfo about this time a terrible eontroverfy with George duke of Saxony, who had fuch an averfion to Luther’s do&rine, that he obliged his fubje&s to take an oath that they would never em¬ brace it. However, 60 or 70 citizens of Leipfic were found to have deviated a little from the Catholic way in fome point or other, and they were known previ- oufty to have confulted Luther about it; upon which George complained to the e left or John, that Luther had not only abufed his perfon, but alfo preached up rebellion among his fubjedts. The eleftor ordered Lu¬ ther to be acquainted with this ; and to be told at the fame time, that if he did not clear himfelf of the charge, he could not poffibly efcape punifhment. But Luther eafily refuted the accufation, by proving, that he had been fo far from ftirring up his fubjects againft him, on the fcore of religion, that, on the contrary, he had exhorted them rather to undergo the greateft hard- iliips, and even fuffer thernfelves to be baniffied. Inxhe year 1 ^34, the Bible tranflated by him into German was firft printed, as the old privilege, dated at Bibliopolis, under the elector’s hand, fnows; and it was -publiffied the year after. He alfo publiftied this year a book againft maffesand the confecration of prielts, in which he relates a conference he had with the devil upon thofe points; for it is remarkable in Luther’s whole hiftory, that he never had any conflicts of any kind within, but the devil was always his anta- gonift. In February 1537, an aflembly was held at Smalkald about matters of religion’, to which Luther and Melanflhon were called. At this meeting Lu¬ ther was feized with fo grievous an illnefs, that there were no hopes of his recovery. He was afflicted with the fttme, and had a ftoppage of urine for 11 days. In this terrible condition he would needs undertake to tra¬ vel, notwithftanding all that his friends could fay or do Lather, to' prevent him : his refolution, however, was attend- “—v"”-" ed with a good effeeft ; for the night after his departure he began to be better. As he .was carried along, he made his will, in which he bequeathed his deteftation of Popery to his friends and brethren; agreeably to what he often ufed to fay : Pe/I is eratn vivas, nwriens rro mors, tua, papa; that is, “ I was the plague of Popery fn my life, and (hall continue to be fo in my death.” This year the Pope and the court of Rome, finding it impoffible to deal with, the Proteftants by force, be¬ gan to have recourfe to ftratagem. They affected there- * fore to think, that though Luther had indeed carried things on with a high hand and to a violent extreme, yet what he had pleaded in 'defence of thefe meafures was not entirely without foundation. They talked with a feeming (how' of moderation ; and Pius III. who fucceeded Clement VII. propofed a reformation firft: among themfelves, and even went fo far as to fix a place for a council to meet at for that purpofe. But Luther treated this farce as it deferved to be treated ; unmafked and detected it immediately ; and, to ridi¬ cule it the more ftrongly, caufed a picture to be drawn, in which was reprefented the pope feated on high upon a throne, fome cardinals about him with foxes tails on, and feeming to evacuate upwards and downwards ffurfum dtorfum repurgare, as Melchior Adam expreffes it). This was fixed over-againft the title- page, to let the readers fee at once the feope and de- fign of the book ; which was, to expofe that cunning and artifice with which thofe fubtle politicians affect¬ ed to cleanfe and purify themfelves from their errors and fuperftitions, Luther publifhed about the fame time A Confutation of the pretended Grant of Con- ftantine to Sylvefter Bifflop of Rome 5 and alfo fome letters of John Hufs, written from his prifon at Con- ftance to the Bohemians. In this manner was Luther employed till his death, which happened in the year 1546. That year, accom¬ panied by MelanCthon, he paid a vifit to his own coun¬ try, which he had not feen for many years, and re¬ turned again in fafety. Bnt foon after he was called thither again by the earls of Mansfeldt, to compofe fome. differences which had arifen about their bounda¬ ries. Luther had not been ufed to fuch matters; but. becaufe he was born at Ifteben, a town in the territory of Mansfeldt, he was willing to do his country what fervice he could, even in this way. Preaching his lad fermon therefore at Wittemberg, upon the 17th of January, he fet off on the 23d; and at Hall in Saxony lodged with Juftus Jonas, wvith whom he (laid three days, becaufe the watery were out. Upon the 28th, he paffed over the river with his three fons and Dr Jonas ; and being in fome danger, he faid to the Doftor, “ Do not you think it would rejoice the devil exceedingly, if I and you, and my three fons, fnouldbe drowned?” When he entered the territories of the earls of Mansfeldt, he was received by 100 horfemen or more, and conduced in a very honour¬ able manner; but was at the fame time fo very ill, that it was feared he would die. He faid, that thefe -fits of ficknefs often came upon him when he had any great bufinefs to undertake : of this, however, he did not recover; but died upon the 18th of February, in. the L u T ^ r 3 . Luther, the 63d year of his age. A little before he expired, Lutheran- he admonidied thofe that were about him to pray to tf®1* God for the propagation of the Gofpel ; “ becaufe *l v (faid he) the eouhciT of Trent, which had fat pnce or twice, and the pope, would devife Itrange things againft it.” Soon after, his body was put into a leaden cof¬ fin, and carried with funeral pomp to the church at Ifleben, when Dr Jonas preached a fermon upon the occafion. The earls of Mansfeldt defired that his body fliould be interred in their territories ; but the elector of Saxony infifted upon his being brought back to Wittemberg; which was accordingly done : and ]t>here- he wras buried with the greatest pomp that perhaps ever happened to any private man. Princes, earls, nobles, and {Indents without number, attended the ptpceffion ; and MelanCthon made his funeral ora¬ tion. A thoufand lies were invented bylhe Papifts about Luther’s death. Some faid that he died fuddenly; others, that he killed himfelf; others, that the devil itrangled him ; others, that his corpfe ftunk fo abo¬ minably, that they were forced to leave it in the way, as it was carried to be interred. Nay, lies were in¬ vented about his death, even while he was yet alive. Luther, however, to give the mod effectual refutation of this account of his death, put forth an advertife- ment of his being alive i and, to be even with the Pa- pills for the malice they had Ihown in this lie, wrote a book at the fame time to prove, that “ the papacy was founded by the devil.” Luther’s works were colledted after his death, and printed at Wittemberg in 7 vols folio.. Catharine de Bore furvived her hufband a few years ; and continued the firlt year of her widowhood at Wittemberg, though Luther had advifed her to feek another place of reli- dence. She went from thence in the year 1547, when the town was* furrendered to the emperor Charles V. Before her departure, fhe had received a prefent of jo crowns from Chriftian III. king of Denmark and the eleftor of Saxony, and the counts of Mansfeldt, gave her good tokens of their liberality. With thefe additions, to what Luther had left her, (he had where¬ withal to maintain herfelf and her family handfomely. She returned to Wittemberg, when the town was re- ftored to the ele&or ; where (he lived in a. very devout and pious manner, till the plague obliged her to leave it again in the year J5.52. She fold what fhe,had at Wittemberg; and retired to Torgau, with a refolu- tion to end her life there. An unfortunate mifchance befel her in her journey thither, which proved fatal to her. The horfes growing unruly, and attempting to run away, (he leaped out of the vehicle fhe was convey¬ ed in ; and, by leaping, got a fall, of which fhe died about a quarter of a year after, at Torgau, upon the 20th of December 1552. She was buried there in the great church, where her tomb and epitaph are.flill to be feen; and the univerlity of. Wittemberg, which was then at Torgau becaufe the plague raged at Wittem¬ berg, made a public programma concerning the funeral pomp. LUTHERANISM, the fentiments of Martin Lu¬ ther with regard to religion. See Luther. Lutheranifm has undergone fome alterations frnce the time of its founder.—Luther rejefted the epiftle of St James, as inconfilient with the do&rine of St Paul, * is 1 r> u t in relation to junification; he alfofet afide the Apocar- Lutherans . lypfe: both which are now received as canonical in the l Lutheran church. , * Luther reduced the number of facraments to two, J viz. baptifm, and the euchariil: but he believed the impanation, or confubftantiation, that is, that the matter of the bread apd wine remain with the body and blood of Chrilt; and it is in this article that the main difference between the Lutheran and Englifh churches confiits. Luther maintained the mafs to be no facrifice ; ex¬ ploded the adoration of the holt, auricular confeffion, meritorious works, indulgences, purgatory, the wor- fhip ofdmages, &c. which had been introduced in the corrupt times of the Romilh church. He alfo. oppo- fed the doctrine of free-will, maintained predeltina- tion, and afferted our juftification to be folely by t,he imputation of the merits and fatisfaction of Chrift. He alfo oppofed the fallings in the Romifh church,, monaftical vows, the celibate of the clergy, See. LUTHERANS, the Chriftians who follow the opi¬ nions of Martin Luther, one of the principal reformers of the church in the 16th century. See Luther. The Lutherans, of all Proteftants, are thofe who differ leaft from the Romifh church; as they affirm,, that the body and blood of Chrift are materially pre¬ fent in the facrament of the Lord’s fupper, though in an incomprehenfible manner; and likewife reprefent fome religious rites and inflitutions, as the ufe of images in churches, the diftiuguifliing veftments of the clergy, the private confeffion of fins, the ufe of wafers in the adminiitration of the Lord’s fupper, the form of exorcifm in the celebration of baptifm, and other ce¬ remonies of the like nature, as tolerable,, and fome of them as*ufefuL The Lutherans maintain,..with regard to the divine decrees, that they.refpect the falvation- or.mifery of men, in. conl'equence of a. previous-know¬ ledge of their fentiments and -charadters,-and not as^ free and unconditional, and as founded on the mere will of God. Towards the clofe of the laft century, the Lutherans began to entertain a greater •liberality, of fentiment than they had before adopted ; though in many places they perfevered longer in fevere and defpotic principles than other Proteflant churches. Their public teachers now enjoy an unbounded liberty of diflenting from the decifions of thofe fymbols or creeds which were onCe deemed almolt infallible rules* of faith and practice,, and of declaring their diflent in the.manner they judge the moll expedient. Mofheim attributes this change in their fentiments to the maxim" which they generally adopted, that.Chriftians were ac¬ countable to God alone, for their religious opinions; and that no individual could be juftly punifhed by the magiftrate for his erroneous opinions,' while he con¬ duced himfelf like a virtuous and obedient fubjeft, and made no attempts to diftutb the peace and order of civil fociety. LUTHERN, in architecture, .a kind of window over the cornice, in the roof of a building; Handing perpendicularly over the naked of a wall, and ferving to illuminate the upper ftory.. Lutherns are of various forms; as fquare, femicir. cular, round, called lull’s eyes, fat arches, &c. LUTRA, in zoology. See Mustela. LIJTTI (Beneditto ), an eminent' painter, born at. Lle~- LUX [ 336 l LUX JJiUtzen Florence in 1666. He was the difciple of Antonio II Dominico Gabiani, and his merit was judged equal to Luxurians. t}iat 0f jjjg mafter; he painted few befide eafel pieces; - " * and his works were much valued and fought for in England, France, and Germany. The emperor knight¬ ed him ; and the eledtor of Mentz, together with his patent of knighthood, fent him a crofs fet with dia¬ monds. Lutti was never fatisfied in finilhing his pic¬ tures ; yet though he often retouched them, they ne¬ ver appeared laboured. He died in 1724. LUTZEN, a town of Upper Saxony in Germany; famous for a battle fought here in 1632, when Gufta- vus Adolphus king of Sweden was killed. It is fi- tuated on the river Elfter, in E. Long. 12. 37. N. Lat. 51. 20. LUXATION, is when any bone is moved out of its place or articulation, fo as to impede or deftroy its proper office or motion. See Surgery. , LUXEMBURG, a city of the Auftrian Nether¬ lands, and capital of a duchy of the fame name. It is feated partly on a hill, and partly on a plain; but is very ftrong both by art and nature. It is but in¬ differently built, though there are fome good ftone houfes' in it. There is nothing very remarkable among the ftrudlures but the Jefuits church; which is a hand- fome edifice, after the modern taile. It was taken by Louis XIV. in 1684; who fo augmented the fortifica¬ tions, that it is now one of the ftrongeft towns in Eu¬ rope. It was ceded to Spain by the treaty of Ryf- wick; but the French took it again in 1701, and gave it up to the houfe of Auftria by the treaty of Utrecht. It is 25 miles fouth-weft of Treves, and 100 weft of Mentz. E. Long. 6. 10. N. Lat. 49. 52. Luxemburg (the duchy of), is one of the 17 pro- , vinces of the Netherlands. It is bounded on the eaft by the archbifhoprick of Treves; on the fouth, by Lorrain ; on the weft, partly by Champagne, and partly by the bifhoprick of Liege", which likewife, with part of Limburg, bound it on the north. It lies in the foreft of Ardenne, which is one of the .moft famous in Europe. In fome places it is covered with moun¬ tains and woods, and in general it is fertile in corn and wine ; and here are a great number of iron-mines. The principal rivers are, the Mofelle, the Sour, the Ourte, and the Semoy. It belongs partly to the houfe of Auftria, and partly to the French ; and Thionville is the capital of the French part. Luxemburg (Fran5ois Henry de Montmorenci), duke of, and marfhal of France, a renowned general in the fervice of Louis XIV. was born in 1628. He was with the prince of Conde at the battle of Rocroy, in 1643 ; and in 1668 diftinguiflied himfelf at the con- queft of Franche Compte. In 1672, he commanded in chief the French army in Holland-; when he de¬ feated 4he enemy near Woerden and Bodegrave, and was univerfally admired for the fine retreat he made in 1673. He became marfhal of France in 1675; gained the battle of Flerus in 1690, that of Steenkirk in 1692, and that of Nerwind in 1693. at Verfailies in 1693. LUXURIANS flos, “ a luxuriant or double flower ?’ a flower, fome of whofe parts are increafed in number, to the diminution or entire exclufion of others. The parts that lire augmented or multiplied in luxu- NJ 189. 6 riant flowers, are the flower-cup and petals, which I.uxuriani, Linnaeus confiders as the teguments or covers of the Luiurjr. flower ; the parts that are diminifhed, or entirely ex- " » eluded, are the ftamina or chives, which the fame au¬ thor denominates the male organs of generation. Luxuriance in flowers is capable of the three follow¬ ing varieties. t. A flower is faid to be multiplied £/?<» multip/i- catus), when the increafe of the petals is not fuch as to exclude all the ftamina: in this fenfe, flowers are peoperly faid to be double, triple, or quadruple, accord¬ ing to the number of multiplications of the petals. 2. A flower is faid to be full, (Jlos j.l;nus), when, by the multiplication of the petals, all the ftamina are excluded. Such are moft of the double flowers that engage the attention of florifts. 3. A flower is faid to be prolific (Jlos prolifer)t which produces flowers, and fometimes leaves, from its centre. For a particular defeription of each of thefe kinds of luxuriance in flowers, fee the articles Multiplica- tvs Flos, Plenus Flos, and Prolifer Flos. Many natural orders of plants do not in any circum- ftances produce luxuriant flowers. Of this kind are the mafqued-flowers of Tournefort, excepting calve’s- fnout; the rough-leaved, umbelliferous, ftarry plants, and fuch as flower at the joints, of Ray: fome umbel¬ liferous flowers, however, are prolific. The pea-bloom, or butterfly-ffiaped flowers, are rare*- ly rendered double ; fome inltances, however, of luxu¬ riance, are obferved in a fpecies of ladies-finger, coro- nilla, and broom. All luxuriant flovvers are vegetable monfters. Such as are perfectly full,' by which we mean the greateft degree of luxuriance, cannot be propagated by feeds; becaufe thefe, for want of impregnation, can never ri¬ pen. Full flowers therefore are very properly deno¬ minated by l innseus eunuchs. This higheft degree of luxuriance is very common in carnation, lychnis, ane¬ mone, ftock, Indian crefs, rofe, marlh marigold, ra¬ nunculus, violet* poeony, and narciffus." Flowers which do not exclude all the ftamina, per- feft their feeds. Of this kind are poppy, fennel-flower, campanula, and fome others. Some flowers, as thofe of the water-lily, fig-mari¬ gold, and cadftus, have many rows or feries of petals, without the number of ftamina being in the leaft dimi¬ nifhed. Such flowers are by no means to be reckon¬ ed luxuriant, in the flighteft degree. Luxuriance in flowers is generally owing to excels of nourifhment. LUXURY ; voluptuoufnefs, or an extravagant in¬ dulgence in diet, drefs, and equipage. Luxury, among the Romans, prevailed to fuch a degree, that feveral laws were made to fupprefs, or at leaft limit it. The extravagance of the table be¬ gan about the time of the battle of Aftium, and con¬ tinued in great excels till the reign of Galba. Pea¬ cocks, cranes of Malta, nightingales, venifon, wild and tame fowl, were confidered as delicacies. A pro- fufion of provifions was the reigning tafte. Whole wild boars were often ferved up, and fometimes thejr were filled with various fmall animals, and birds of different kinds: this dilh they called the Trojan horfe, in allufion to the wooden horfe filled with foldiers. Fowls LUX [ 337 1 LUX Lowry. powls and game of all forts were ferved up in whole L ’ pyramids, piled up in difhes as broad as moderate tables. Lucullus had a particular name for each apartment; and in whatever room he ordered his fer. ▼ants to prepare the entertainment, they knew by the dire&ion the expence to which they were to go. When he fupped in the Apollo, the expence was fix¬ ed at 50,000 drachma, that is L. 1250. M. Antony provided eight boars for 12 guefts. Vitellius had a large filver platter, faid to have coft a million of fejler- ces, called Minerva’s buckler. In this he blended to¬ gether the livers of gilt-heads, the brains of pheafants and peacocks, the tongues of phenicopters, and the milts of lampreys. Caligula ferved up to his guefts pearls of great value diflblved in vinegar; the fame was done alfo by Clodius the fon of iEfop the trage¬ dian. Apicius laid afide 90,000,000 of fejierces, befides a mighty revenue, for no other purpofe but to be fa- crificed to luxury : finding himfelf involved in debt, he looked over his accounts, and though he had the fum of 10,000,000 of fejierces ftili left, he poifoned himfelf for fear of being ttarved to death. The* Roman laws to reftrain luxury were Lex Orchia, Fannia, Didia, Lictnia, Cornelia, and many others: But all thefe were too little; for as riches increafed amongft them, fo did fenfuality. What were the ideas of luxury entertained in Eng¬ land about two centuries ago, may be gathered from the following pafiage of Holinfhed; who, in a difcourfe prefixed to his Hiftory, fpeaking of the increafe of luxury, fays, “ Neither do I fpeak this in reproach of any man, God is my judge ; but to (how, that I do rejoice rather to fee how God has blefled us with his good gifts, and to behold how that in a time wherein all things are grown to the moft exceffive prices, we yet do find means to obtain and atchieve fuch furniture as heretofore was impoffible. There are old men yet dwelling in the village where I remain, which have noted three things to be marveloufly al¬ tered in England within their found remembrance. One is the multitude of chimneys lately ere&ed ; whereas in their young days there were not above two or three, if fo many, in moft uplandifh towns of the realm (the religious houfes, and manor places of their lords, al¬ ways excepted, and peradventure fome great perfo- nages), but each made his fire againft a reredofs [fkreen] in the hall where he dreffed his meat and dined.—The fecond is the great amendment of lodg¬ ing ; for, faid they, our fathers and we ourfelves have Iain full oft upon ftraw pallets covered only with a fheet, under coverlits made of a dogfwraine or horhar- riots (to life their own terms), and a good log under their head inftead of a bolfter.—If it were fo that the father or good man of the houfe had a mattrafs, or flock bed and (beets, a fack of chaff to reft his head upon, he thought himfelf to be as well lodged as the lord of the town. So well were they con¬ tented, that pillows (faid they) were thought meet only for women in childbed; as for fervants, if they had any (heet above them, it wras well; for fel- dom had they any under their bodies to keep them from pricking ftravvs, that ran oft through the can¬ vas and their hardened hides.—The third thing they tell of, is the exchange of treene [wooden] platters into pewter, and wooden fpoons into iilver or tin * for Vot. X. Parti. fo common were all forts of treene veffels in old times, Luturji that a man (hould hardly find four pieces pewter (of 'r“‘“ which one was peradventure a fait) in a good farmer’s houfe. Again, in times paft, men were contented to dwell in houfes builded of fallow, willow, &c. fo that the ufe of oak was in a manner dedicated wholly unto churches, religious houfes, princes palaces, navigation, &c. But now willow, &c. are rejefted, and nothing but oak any where regarded; and yet fee the change, for when our houfes were builded of willow, then had we oaken men ; but now that our houfes are come to be made of oak, our men are not only become willow, but a great many altogether of ftraw, which is a fore alteration. In thefe, the courage of the owner was a fufficient defence to keep the houfe in fafety ; but now the affurance of the timber muft defend the men from robbing. Now have we many chimneys, and yet our tenderlins complain of rheums, catarrhs, and pofes ; then had we none but reredofes, and our heads did never ach. For as the fmoke in thofe days were fuppofed to be a fuffieient hardening for the timber of the houfe; fo it was reputed a far better medicine to keep the goodman and his family from the quacks or pofe ; wherewith, as then, very few were acquaint¬ ed. Again, our pewterers in time paft employed the ufe of pewter only upon diflies and pots, and a few other trifles for fervice ; whereas now they are grown into fuch exquifite cunning, that they can in a man¬ ner imitate by infufion any form or falhion, of cup, difli, fait, bowl, or goblet, which is made by the goldfmiths craft, though they be ever fo curious and very artificially forged. In fome places beyond the fea, a garnifli of good flat Englifti pewter (I fay flat, becaufe diflies and platters in my time began to be made deep, and like bafons, and'are indeed more convenient both for fauce and keeping the meat warm) is efteemed fo precious as the like number of veffels that are made of fine filver.’’ Particular inftances of luxury in eating, however, might be adduced from an earlier period, furpafiing even the extravagance of the Romans. Thus, in the 10th year of the reign of Edward IV. 1470, George Nevill, brother to the earl of Warwick, at his inftal- ment into the archiepifcopal fee of York, entertained moft of the nobility and principal clergy, when his bill of fare was 300 quarters of wheat, 350 tuns of ale, 104 tuns of wine, a pipe of fpiced wine, 80 fat oxen, fix wild bulls, 1004 wethers, 300 hogs, 300 calves, 3000 geefe, 3000 capons, 300 pigs, 100 pea¬ cocks, 200 cranes, 200 kids, 2000 chickens, 4000 pigeons, 4000 rabbits, 204 bitterns, 4000 ducks, 200 pheafants, 500 partridges, 2000 woodcocks, 400 plo¬ vers, 100 curlews, 100 quails, 1000 egrets, 200 rees, 400 bucks, does,and roebucks, 1506 hot venifon pafties, 4000 cold ditto, 1000 diflies of jelly parted, 4000 diflies of jelly plain, 4000 cold cuftards, 200O hot cuftards, 300 pikes, 300 breams, eight feals, four porpuffes* 400 tarts. At this feaft the earl of Warwick was fteward, the earl of Bedford treafurer, and lordHaftings comptroller, with many more noble officers; 1000 fer- vitors, 62 cooks, 515 menial apparitors in the kitchem —But fuch was the fortune of the man, that after his extreme prodigality he died in the mdft abje& but unpitied poverty, vinBus jacuit in frnnma inopia. And as to drefs, luxury in that article feems to have U« attained LUX r 33s i L Y C r.imirj*. attained a great height long before Holinfhed’s time : it may be neceflary that fuch as go beyond proper ' For in the reign of Edward III. we find no fewer bounds in eating, drinking, and wearing what by no than feven fumptuary laws palled in one feffion of par- means is fuitable to their ftation,. fhould be taxed ac- liament to reftrain it. It was enafted, that men fer- cordirigly, could it be done without including thofe vants of lords, as alfo of tradefmen and artifans, (hall who have a better title to fuch indulgence. This is- be content with one meal of filh or flefh every day ; certainly, however, a point which Ihould be maturely and the other meals, daily, lliall be of milk, cheefe, weighed before executed ; and, in mercantile countries butter, and the like. Neither lhall they ufe any or- at lead, fuch reftraints may be found prejudicial, moll naments of gold, filk, or embroidery ; nor their wives likely impracticable, efpecially where true liberty is and daughters any veils above the price of twelvepence. eltablilhed. Sir William Temple obferves, fpeaking Artifans and yeomen fliall not wear cloth above 40s. of the trade and riches, and at the fame time of the- the whole piece (the fineft then being about L. 6 per frugality of the Hollanders, “ That fome of our max* piece), nor the ornaments before named. Nor the ims are not fo certain as rwratf in politics: as that en- women any veils of filk, but only thofe of thread couragement of excefs and luxury, if employed in the made in England. Gentlemen under the degree of confumption ©f native commodities, is of advantage knights, not having L. 100 yearly inland, lhall not to trade. It may be fo to that which impoverilhes, wear any cloth above 4! marks the whole piece. Nei- but not to that which enriches a country. It is indeed ther {hail they or their females ufe cloth of gold, filver, lefs prejudicial, if it lies in native than in foreign wares ; or embroidery, &c. But efquires having L. 200 per but the humour of luxury and expence cannot flop at annum or upwards of rent, may wear cloths of five certain bounds ; what begins in native will proceed in marks the whole piece or cloth; and they and their foreign commodities; and though the example arife females may alfo wear ftuff of filk, filver, ribbons, among idle perfons, yet the imitation will run into all girdles, or furs. Merchants, citizens, burghers, and degrees, even of thofe men by whole indullry tire na- artificers of tradefmen, as well of London as elfe- tion fubfifts. And befides, the more of our own we where, who have goods and chattels of the clear value fpend, the lefs we Ihall have to fend abroad ; and fo of L. 500, and their females, may wear as is allowed it will come to pafs, that while we drive a vail trade, to gentlemen and efquires of L. 100 per annum. And yet, by buying much more than we felly we lhall come merchants, citizens, and burgclfes, worth above L. 1000 to be poor at laft.” in goods and chattels, may (and their females) wear LYBIA, or Libya, a name anciently given to all the fame as gentlemen of L. 200 per annum. Knights that part of Africa lying between the border of E- of 200 marks yearly may wear cloth of fix' marks the gypt and the river Triton ; and comprehending Cyre- cloth, but no higher ; but no cloth of gold, nor furred naica, Marmarica, and the" Regio Syrtica. See thefe with ermine : but all knights and ladies having above articles. 400 marks yearly, up to L.iooo per annum, may wear LYCfEUM, Auxtio*, In antiquity, the name of a as they pleafe, ermine excepted ; and they may wear celebrated fchool or academy at Athens, where Ari- ornaments of pearl and precious Hones for their heads ftotle explained his philofophy. The place was corn- only. Clerks having degrees in cathedrals, colleges, pofed of porticoes, and trees planted in tljp quincunx &c. may wear as knights and efquires of the fame in- form, where the philofophers difputed walking. Hence come. Plowmen, carters, fhepherds, and fuch like, philofophy of the Lyceum is ufed to fignify the philofo- not having 40s. value in goods or chattels, fhall wear phy of Ariftotle, or the Peripatetic philofophy. Stiidas no fort of cloth but blanket and ruffet lawn of 12d. obferves, that the Lycseum took its name from its ha- and lhall wear girdles and belts; and they lhall only ving been originally a temple of Apollo Lycteus 5 or eat and drink fuitable to their ftations. And whofo- rather a portico or gallery built by Lycieus fon of ever ufes other apparel than is preferibed by the above Apollo : but others mention it to have been built by laws lhall forfeit the fame. Piliftratus or Pericles. Concerning the general utility of luxury to a Hate, LYCuEUS (anc. geog.), a mountain of Arcadia, there is much controverfy among the political writers, facred to Jupiter; whence Jupiter Lycaus (Pliny). Baron Montefquieu lays it down, that luxury is ne- Sacred alfo to Pan (Virgil) : and hence Lyaea, the ceffary in monarchies, as in France; but ruinous to rites performed to Pan on this mountain ; which E~ democracies, as in Holland. With regard therefore vander carrying with him to Latium, were called Lu~ to Britain, whofe government is compounded of both percalia (Virgil). fpecies, it is held to be a dubious queftion, how far LYCAON (fab. hill.), the firft king of Arcadia, private luxury is a public evil; and, as fuch, cog- fon of Pelafgus and Meliboea. He built a town called nifable by public laws. And indeed our legillators Lycofura,on the top of mount Lycseus, in honour of have feveral times changed their fentiments as to this Jupiter. He had many wives, by whom he had a point; for formerly there were a number of penal laws daughter called Callifto, and 50 fons. He was fucceed- exifting to rellrain excefs in apparel, chiefly made in ed on the throne by Ny&imus, the eldeft of his fons. the reigns of Edward III. IV. and Henry VIII. a He lived about 1820 years before the Chriftian sera.—■ fpecimen of which we have inferted above. But all Another king of Arcadia celebrated for his cruelties, of them it appeared expedient to repeal at an after He was changed into a wolf by Jupiter, becaufe he period. In faft, although luxury will of necefiity in- offered human vi&ims on, the altar of the god Pan. creafe according to the influx of wealth, it may not Some attribute this metamorphofis, to another caufe. be for the general benefit of commerce to impofe, as The fins of mankind, as theyrelate, were become fo enor- in the above cited laws, an abfolute prohibition of mous, that Jupiter vifited the earth to punifh wicked- every degree of it: yet, for the good of the public, nefs and impiety. He came to Arcadia, where he 5 was t Y C C 339 ] L Y D tycaonia, was announced as a god, and the people began to pay lychnis, pr0per adoration to his divinity. Lycaon, however, who ufed to facrifice all Grangers to his wanton cruel¬ ty, laughed at the pious prayers of his fubjeCts ; and to try the divinity of the god, he ferved up human flefh on his table. This impiety fo irritated Jupiter, that he immediately deftroyed the houfe of Lycaon, and changed him into a wolf. LYCAONIA, (anc. geog.), a fmall country of the Hither Afia, contained between Pamphylia to the fouth, Cappadocia to the north, Pifidia and Phrygia to the weft, and Armenia Minor to the eaft. Ly- caones, the people. This country, though fituated very near mount Taurus, and part of it on it, yet the Romans reckoned it into Afia intra Taurum. Arca¬ dia, anciently called Lycaonla, (Stephanus.)—Alfo an ifiand in the Tiber, joined to Rome by a bridge, and to the land by another, namely, the Ceftius and Fa- bricius. LYCHNIS, campion, in botany, including alfo the Bachelor s^bu ton, (atch-jix, &c: A genus of the pentagynia order, belonging to the pentandria clafs of plants ; and in the natural method ranking under the 22d order, CaryophylU. The calyx is monophyl- lous, oblong, and fmooth ; there are five unguiculated petals; with the fegments of the limb almoft bifid; the capfule quinquelocular. Species, &c. 1. The Chalcedonica, or Chalcedonian fcarlet lychnis, hath a fibrated perenni#! root; up¬ right, ftraight, hairy, animal ftalks, riling three or four feet high ; garnilhed with long, fpear-pointed, clofe-fitting leaves, by pairs oppofite; and the ftalk crowned by a large, compaft, flat bunch of beautiful fcarlet or flame-coloured flowers, appearing in June and July. Of this there are varieties, with Angle fcarlet flowers, with large double fcarlet flowers of exceeding beauty and elegance, with pale-red flowers, and with white flowers. Of thefe varieties, the dou¬ ble fcarlet lychnis is fuperior to all for fize and ele¬ gance : the flowers being large, very double, and col- lefted into a very large bunch, exhibit a charm- ing appearance ; the Angle fcarlet kind is alfo very pretty ; and the others efleet an agreeable variety with the fcarlet kinds. 2. The dioscia, or dioecious lychnis, commonly called bachelors-hutton, hath fibrated per¬ ennial roots; upright ftalks, branching very diffufe and irregular, two or three feet high ; having oval, acute-pointed, rough leaves, by pairs oppofite; and all the branches terminated by clutters of dioecious flowers of different colours and properties in the va¬ rieties ; flowering in April and May. The varieties, are the common Angle red-flowered bachelors button, double red, double white, and Angle white-flowered. The double varieties are exceedingly ornamental in their bloom ; the flowers large, very double, and continue long in blow; the Angle red fort grows wild by ditch fides and other moift places in many parts of England; from which tire doubles were ac¬ cidentally obtained by culture in gardens. The flowers are often dioecious, L e. male and female on dittinct plants. 3.The vifcaria,or v.fcous German lychnis, com¬ monly called catch-jly, hath fibry perennial roots; crowned by a tuft of long graffy leaves clofe to the ground ; many ereift, ftraight, Angle ftalks, rifing a foot and a half or two jeet high, exfuding from their upper part a vifeous or clammy matter ; garniftied with Eycu long narrow leaves, by pairs oppofite; and terminated li by many reddilh purple flowers, in clufters one above*jycnj ,nte* another, forming a fort of long loofe fpike; all the ''' "v flowers with entire petals; flowering in May. Of this alfo there are varieties with Angle red flowers, with double red flowers, and with white flowers. The double variety is confiderably the moft eligible for general culture, and is propagated in plenty by part¬ ing the roots. All the varieties of . this fpecies emitting a glutinous liquid matter from their ftalks, flies happening to light thereon fometimes ftick' and entangle themfelves, whence the plant obtains the name Catch-fly. 4. The flos-cuculi, cuckoo¬ flower lychnis, commonly called ragged-robin, hath fibry perennial roots ; upright, branchlefs, channelled ftalks, rifing near two feet high ; garnifned with long, narrow, fpear-fliaped leaves, in pairs oppofite ; and terminated by branchy foot-ftalks, fuftaining many purple, deeply quadrjfid flowers ; appearing in May. The flowers having each petal deeply quadrifid in a torn or ragged-like manner, the plant obtained the cant name of Ragged-robin. There are varieties with Angle flowers and double flowers. The double fort is a large, very multiple, fair flower : it is an improved variety of the Angle, which grows wild in moft of our moift meadows, and is rarely cultivated; but the double, being very ornamental, merits culture in every garden. All the four fpecies and refpedtive varieties are very hardy; all fibrous-rooted, the roots peren¬ nial ; but are annual in ftalks, which rife in fpring, flower in fummer, fucceeded in the Angles by plenty of feed in autumn, by which all the iingle varieties may be railed in abundance, but the doubles only by dividing the roots, and fome by cuttings of the flower- ftalks. LYCIA, a country of Afia Minor, bounded by the Mediterranean on the fouth, Caria on the weft, Pamphylia on the eaft, and Phrygia on the north. It was anciently called Mityas, and Tremile, from the Mi- lyse, or Solymi, a people of Crete, who came to fettle there. The country received the name of Lycia from Lycus the fon of Pandion, who ettablilhed himfelf there. The inhabitants have been greatly commend¬ ed by all the ancients for their fobriety and juftice. They were conquered by Crcefus king of Lydia, and afterwards by Cyrus. Though they were fubjedt to the power of Perfia, yet they were governed by their own kings, and only paid a yearly tribute to the Per- fian monarch. They became part of the Macedonian empire when Alexander came into the eaft, and after¬ wards were ceded to the houfe of the Seleucidae. The country was reduced into a Roman proviuce by the emperor Claudius. LYC1UM, in botany : A genus of the monogynia order, belonging to the pentandria clafs of plants; and in the natural method ranking under the 28th order, Luriiht. The corolla is tubular, having its throat clofed up with the beard of the filaments; the berry is bilocular. There are eight fpecies, natives of various countries. LYCODONTES, in natural hiftory, the petrified teeth of the lupus-pifeis, or wolf-fiih, frequently found foflile. They are of different ftiapes ; but the moft common kind life into a femiorbicular form, and U u 2 are L Y C L Y C [ 340 1 Income- are hollow within, fomewhat refembllng an acorn-cup ; kind, of a nearly fpherical form, puckered or con- Ly«opcrfi-v dcs> this hollow is found fometimes empty, and fometimes trailed at the root. This fometimes grows to an con,~ , ^don? " with the ilratum in which it is immerfed. Many enormous fize. It has been found in England as big u—them have an outer-circle, of a different colour as a man’s head 5 and at Carraria, near Padua in Italy,v from the reft. fpecimens have been gathered, weighing 25 pounds, LYCOMEDES, (fab. hift.), a king of Scyros an and meafuring two yards in circumference; but its illand in the vEgean fea. He was fon of Apollo and more ordinary fize is that of a walnut or an apple. Parthenope. He was fecretly entrufted with the The varieties of this fpecies have no limits, being care of young Achilles, whom his mother Tethis had frequently found to run into one another ; the fcaly, difguifed in woman’s cloaths, to remove him from the warty, and echinated coats turning fmooth as the Trojan war, where file knew he mull unavoidably pe- plants grow old, and the neck of the fungus having rifh. Lycomedes has rendered himfelf famous for his no determinate length. The natural colour of the puff-ball is either white, grey, or alh-coloured: but is fometimes found yellowifh, tawny, and brownilh. The internal fpongy part of it, bound on to wounds, is efteemed good to flop bleedings. Prefled and dried in an oven, the puff-ball becomes a kind of tinder. treachery to Thefeus, who had implored his protec¬ tion when driven from his throne of Athens by the ufurper Mneftheus. Eycomedes, as it is reported, either envious of the fame of his illuftrious guefts, bribed by the emiffaries of Mneftheus, led Thefeus to an elevated place, on pretence to fliow him the extent the fmoke of which is faid to intoxicate bees. See of his dominions, and perfidioufly threw him down a precipice, where he was killed. LYCOPERDON, in botany; A genus of the na¬ tural order of fungi, belonging to the cryptogamia clafs of plants. The fungus is roundilh, and full of farinaceous feeds. There are 10 fpecies, of which the following are the moll remarkable. Gent. Mag. July 1766. The Italians fry the great variety, and indeed any of the others when young, and eat them with fait and oil, according to the relation of Marfigli. LYCOPERSICON. See Solanum. EYCOPODIUM, or club-moss ; a genus of the natural order of mufei, belonging to the cryptogamia . The tuber,truffles, or fubterraneous puff-balls, is a clafs of plants. The antherse are bivalved and feffile ; native of woods both in Scotland and England. It is a there are no calyptra. There are 24 fpecies; of which. ’ e moft remarkable. , or common club mofs, is common in fubterraneousfungus,growing generally in clufters three the following are the orfour inches under ground,without any vifibleroot.The 1. The clai *tum> 01 figure of it is nearly fpherical, the fize that of a pota¬ to ; the exterior coat at firft white, afterwards black, and ftudded with pyramidical or'polyhedrous tubercles; the internal fubftance folid and callous, of a dirty- white or pale-brown colour, grain’d like a nutmeg with ferpentine lines ; in which, according to Micheli, are imbedded minute oval capfules, containing each from two to four round warted feeds. The truffles of Great Britain feldom exceed three or four ounces in weight; but in Italy, and fome other parts of the continent, they are faid to have been found of the enormous fize of eight and even 14 pounds. They are received at dry and mountainous places, and in fir forefts. The ftalk is proftrate, branched, and creeping, from a foot to two or three yards long; the radicles woody. The leaves arc numerous, narrow, lanceolated, acute, often incurved at the extremity, terminated with a long white hair, and every where furround the ftalk. The peduncles are ereft, firm, and naked (except being thinly fet with lanceolate feales), and arife from the ends of the branches. They are generally two or three inches long, and terminated with two cylindrical yellowifh fpikes, imbricated with oval-acute feales, finely lace¬ rated on the edges, and ending with a hair. In the tables, either freff> and roafted like potatoes, or ala or bofom of the fcale is a kidney-fhaped capfule. dried and fliced into ragouts. They have a volatile and fomewhat urinous fmell, and are reputed to be aphrodifiacal. . Dogs are with much pains taught to hunt for them by the feent, and to fcratch up the ground under which they lie. 2. The bovifta, or common puff-ball, is frequent in meadows and paftures in the autumn. It varies ex¬ ceedingly in fize, figure, fuperficies, and colour. In general, it confifts of a fack or bag, having a root at its bafe, and the bag compofed of three mem¬ branes, an epidermis, a tough white fldn, and an interior coat which adheres clofely to the central The pith in the young plants is of a yellowifti colour, at firft firm and folid, but foon changes into a cellular fpongy fubftancs, full of a dark dull-green powder, which difeharges itfelf through an aperture at the top of the fungus, which aperture is formed of la¬ cerated figments,, in fome varieties reflexed. The. powder is believed to be the feeds, which through a microfcope appear of a fpherical form, and to be an¬ nexed to elaftic hairs. See Haller's Hijl.,Hehet. n. 2172., Among the numerous varieties of this fungus,, the gLbrum. moft remarkable. It is a fmooth ftlkle which burfts with elafticity when ripe, and throws out a light yellow powder, which, blown into the flame of a candle, flaflies with a fmall explofion. The Swedes make mats of this mofs to rub their flioes upon. In Ruflia, and fome other countries, the pow¬ der of the capfules is ufed in medicine to heal galls in children, chops in the Ikin, and other fores. It is alft» ufed to powder over officinal pills, and to make artifi¬ cial lightning at theatres. The Poles make a decoc¬ tion of the plant, and, dipping a linen cloth.into it, apply it to the heads of perfons afflidled with the dif- eafe called the plica polonica, which is faM to be cured by this kind of fomentation 2. The felagOy or fir club-mofs, is common in the Highland mountains of Scotland, and in the Hebrides^ The ftalk at the bafe is Angle and reclining; but a little higher is divided into upright dichotomous branches, from two to fix inches high, furrounded with eight longitudinal oblique feries of lanceolate, finooth, rigid, imbricated leaves. Near the fummits of the branches, in the ala of the leaves, are placed fingle kidney-ftaped capfules, confifting of two valves, which open horizontally like the (hells of an oyfter, : and L Y C r 34* 1 L Y D LycopodJ- an3 caft 0ut a fine yellow powder. Thefe capfules u'j' Linnaeus fuppofes to be anther*, or male parts of , firuftification. In the alydi’a. bed the king while he was afleep, married the queen, and took poffeflion of the kingdom, in which he was confirmed by the anfwer of the Delphic oracle. The Lydians having taken up arms to revenge the death of their prince, an agreement was made between them and the followers of Gyges, that if the oracle fhould. declare him to be lawful king of Lydia he fhould be permitted to reign j if not, he thould refign the crown to the Heraclidae. The anfwer of the oracle proving favourable to Gyges, he was univerfally ac¬ knowledged for lawful king of Lydia. Candaules is faid to have purchafed a picture painted by Bukr- chas, reprefenting a battle of the Magnetes, for its weight in gold ; a circumftance which fhows how early the art of painting began to be in requeft, for Can¬ daules was cotemporary with Romulus. Gyges having thus polleflcd himfelf of the kingdom of Lydia, fent many rich and valuable prefents to the oracle of Delphos, among others, fix cups of gold weighing 30 talents, and greatly efteemed for the workmanfhip. He made war on Miletus and Smyrna, took the city of Colophon, and fubdued the whole country of Troas. In his reign, and by his permiffion, the city of Abydus was built by the Mi- lefians. Plutarch and other writers relate his accef- lion to the crown of Lydia in a quite different man¬ ner, and tell us, without making any mention of the queen, that Gyges rebelled againft Candaules and flew him in an engagement. In Gyges began the third race called Mermnada ; who were alfo, properly fpeak- mg, Heraclidae, being defcended from a fon of Her¬ cules by Omphale. Gyges reigned 38 years, and was fucceeded by his fon Ardyes. This prince carried on the war againft the Mile- fians which his father had begun, and poffefl’ed him¬ felf of Priene, in thofe days a ftrong city. In his reign the Cimerians invaded and over-run all Afia Mi¬ nor ; but what battles were fought between the Ly¬ dians and thefe invaders, and with what fuccefs, we find no where mentioned. Herodotus only informs us, that in the time of Ardyes they poffefled them- felves of Sardis, the metropolis of Lydia, but could never reduce the caftle. Ardyes reigned 49 years, and was fucceeded by his fon Sadyattes,who reigned 12 years, and warred moft part of his reign with the Milefians.. After him came his fon Alyattes, who for the fpace of five years continued the war which his father had begun againft the Milefians, ravaging their country, and about harveft time carrying away all their corn yearly, in order to oblige them, for want of provr- fions, to furrender their city, which he knew he could not reduce any other way, the Milefians being at that time mafters of the fea. In the 12th year of this war the Lydians having fet fire to the corn in the fields, the flames were carried by a violent wind, which hap¬ pened to blow at that time, to the temple of Minerva at Aflefus, and burnt it down to the ground. Not long after, Alyattes falling fick, fent to eonfult the oracle at Delphos ; which refufed to return any an¬ fwer till fuch time as the king fhould rebuild the temple of Minerva at Aflefus. Alyattes, thus warned, dif- patched ambaffadors to Miletus, enjoining them to conclude a truce with the Milefians till the temple fhould be rebuilt. On the arrival of the ambafladors, Thrafybulus, then king of Miletus, commanded all the corn that was at that time in the city to be Lydia brought into the market-place, ordering the citizens to banquet in public, and revel as if the city were plentifully ftored with all manner of provifions. This- ftratagem Thrafybulus pradtifed, to the end that the ambafladors feeing fuch quantities of corn’, and the people every where diverting themfelvcs, might ac¬ quaint their mafter with their affluence, and divert him from purfuing the war. As Thrafybulus had de- figned, fo it happened; for Alyattes, who believed the Milefians greatly'diftrefled for provifions, receiving a different account from his ambaffadors, changed the truce into a lafting peace, and ever afterwards lived in amity and friendfhip with Thrafybulus and the Mi¬ lefians. He was fucceeded, after a reign of 5 7 years, by his fon Crcefus, whofe uninterrupted profperity, in the firft years 'of his reign, far.eclipfed the glory of all his predeceffors. He was the firft that made war on the Ephefians, whofe city he befieged and took notwithftanding their confecrating it to Diana, and fattening the walls by a rope to her templS, which, was feven ftadia diftant from the city. After the re- duftion of Ephefus,. he attacked, under various pre¬ tences, the lonians and ^Eolians, obliging them, and all the other Greek ftates of Afia, to pay him a year¬ ly tribute. Having met with fuch extraordinary fuc¬ cefs by land, the Lydian prince determined to render his power equally confpicuous by fea. For this pur- pofe he thought ferioufly of equipping a fleet; with which he purpofed to invade and conquer the Grecian Hands direftly fronting his dominions. But this de- fign, which, confidering the flow progrefs in maritime power among the nations moft diligent to. attain it, would probably have failed of fuecefs, was prevented by the advice of a philofophical traveller conveyed in fuch a lively turn of wit, as eaftly changed the refo- lution of the king. Bias of Priene in Ionia, fome fay Pittacus of Mitylene in the ifte of Lelhos, while he travelled after the Grecian caftom,. from curiofity and a love of knowledge, was prefented to Croefus at the Lydian court; and being, afked by that prince what news from Greece ; he anfwered with a republi¬ can freedom, that the Handers had collected powerful fquadrons of cavalry with an intention of invading Lydia. “ May the gods grant (faid Croefus), that the Greeks, who are unacquainted with horfemanfhip*. ftiould attack the difciplined valour of the Lydian cavalry ; there Would foon be an end to the conteft.’* “ In the fame manner (replied Bias)-, as if the Ly¬ dians, who are totally unexperienced in naval affairs, fhould invade the Grecians by fea.” Struck by the acutenefs of this unexpefted obfervation, Croefus de- fifted from his intended expedition againft the Hands, and inftead of employing new means for extending his conquefts, determined peaceably to enjoy the lau¬ rels which he had won, and to difplay the grandeur which he had attained. But his bappinefs was fooa after allayed by the death of his favourite fon Atys* who was unfortunately killed at the chace of a wild boar. For this lofs he continued difconfolate for two years and in a ftate of inaftion,. till the conquefts of Cyrus, and growing power of the Perfians, roufed up- his martial fpirit, and diverted his mind to other thoughts. He apprehended that the fuccefs which attended Cyrus in all his undertakings, 'might at latt prove L Y D prove dangerous to himfelf, and therefore refolved to ^ put a flop, if poflible, to his progrefs. In taking C 344 1 L Y D will of the god whofe authority you acknowledge.^* The Lacedemonians, pleafed with the alliance of a ' this refolution, which might probably be attended warlike king, and ftill more w ith the fame of their va- with the moft important confequences, he was defirous to learn the will of heaven concerning the iflue of the war. The principal oracles which he confulted were thofe of Branchis in Ionia, of Hammon in Libya, and of Delphi iq Greece. Among thefe refpe&ed -ihrines, the oracle of Delphi maintained its afcendant, as the moft faithful interpreter of fate. Crcefus was fully perfuaded of its veracity; and defirous generoufly to compenfate for the trouble which he had already givem, and ftill meant to give, the priefts of Apollo, he facrificed 3000 oxen to the god, and adorned his ftirine with dedications equally valuable for the work¬ lour, readily accepted the propofal. To the ftrift conneftion of an offenfive and defenfive league, they joined the more refpedted ties of facred hofpitality. A few years before this tranfaftion, they had fent to purchafe gold at Sardis for making a ftatue of Apollo. Croefus had on that occafion gratuitoufly fupplied their want. Remembering this generofity, they gave the Lydian amfcafladors at their departure, as a prefent for their mafter, a vefiel of brafs containing 300 ana¬ phoras (above 12 hoglheads), and beautifully carved on the outfide with various forms of animals. Croefus, having thus happily accompliflied the de» man (hip and for the materials ; preciovjs veffels of fign recommended by the oracle, was eager to fet out filver, ewers of iron beautifully inlaid and enamelled; upon his intended expedition. He had formerly en- various ornaments of pure gold, particularly a golden tered into alliance with Amafis king of Egypt, and lion weighing ten talents, and a female figure three Labynetus king of Babylon. He had now obtained cubits or near five feet high. In return for thefe mag- the friendlhip of the moft warlike nation of Europe, nificent prefents, the oracle, in ambiguous language, The newly-raifed power of Cyrus and the Perfians flattered Crcefus with obtaining an eaiy victory over feemed incapable of relifting fuch a formidable confe- his enemies, and with enjoying a long life and a pro- deracy. fperous reign. The god at the fame time enjoined Elevated with thefe flattering ideas of his own in- him to contract an alliance with the moft powerful of vincible greatnefs, Croefus waited not to attack the the Grecian ftates. Perfian dominions until he had collected the ftrength Elevated with thefe favourable predictions of Apollo, ef his allies. The fanguine impetuofity of his temper, Crcefus prepared to yield a ready obedience to the on- unexperienced in adverfity, unfortunately precipitated ly condition required on his part for the accomplifh- tnenf, of his afpiring purpofe. Not deeming him¬ felf fufliciently acquainted with the affairs of Greece, him into meafures no lefs ruinous than daring. At¬ tended only by the arms of Lydia, and a numerous band of mercenaries, whom his immenfe wealth enabled to know what particular republic was meant by the him at any time to call into his fervice, he marched oracle, he made particular inquiry of thofe bell in¬ formed concerning the ftate of Europe; and difcovered, that among all the members of the Grecian confede¬ racy, the Athenians and Lacedemonians were juftly intitled to the pre-eminence. In order to learn which of thefe communities deferved the epithet of mojipower¬ ful, it was neceflary to fend ambafladors into Greece. towards the river Halys; and having croffed with much difficulty that deep and broad ftream, entered the province of Cappadocia, which formed the weftern frontier of the Median dominions. That unfortunate country foon experienced all the calamities of invafion. The Pteria^i plain, the moft beautiful and the moft fertile diftrift of Cappadocia, was laid wafte; the The Lydians difpatched with this important commif- ports of the Euxine, as well as feveral inland cities, fion, foon difcovered that the Athenians, after having were plundered ; and the inoffenfive inhabitants were Been long haraffed by internal diffenfions, were actually governed by the tyrant Pififtratus. The Spartans, on the other hand, though anciently the worft regulated of all the Grecian communities, had enjoyed domeftic .peace and foreign profperity ever fince they had a- dopted the wife inftitutions of Lycurgus. After that memorable period, they had repeatedly conquered the warlike Argives, triumphed over the hardy Arcadians; and notwithftanding the heroic exploits of Ariftomenes, fubdued and enflaved their unfortunate rivals of Mef- fene. To the Lydian ambaffadors, therefore, the Spar¬ tan republic appeared to be pointed out by the oracle as the community whofe alliance they were enjoined to folicit. Having repaired accordingly to Sparta, they were introduced not only to the kings and fe- qate, but, as the importance of the negociation re- quired, to the general affembly of the Lacedemonians, either put to the fword or dragged into captivity. Encouraged by the unrefifting foftnefs of the natives of thofe parts, Croefus was eager to pu(h forwards; and if Cyrus did not previoufly meet him in the field, he had determined to proceed in triumph to the moun¬ tains of Perfia. Againft this dangerous refolution he was in vain exhorted by a Lydian named Sandanis; who, when aflced his opinion of the war, declared it with that freedom which the princes of the Eaft have in every age permitted, amidft all the pride and ca¬ prices of defpotic power, to men diftinguifhed by the gifts of nature or education. “ You are preparing, O king, to march againft a people who lead a labo¬ rious and a miferable life ; whofe daily fubfiftence is often denied them, and is always fcanty and precarious; who drink only water, and wrho are clothed with the Ikins of wild beafts. What can the Lydians gain by to whom they, in few words, declared the object of the conqueft of Perfia; they who enjoy all the ad- their commiflion : “ We are fent, O Lacedemonians ! By Crcefus, king of the Lydians and of many other na¬ tions, who being commanded by the oracle of Apollo t o feek the friendihip of the moft powerful people of Llreec?, now fummons you, who juftly merit that epi¬ thet, to become his faithful allies, in obedience to the vantages of which the Perfians are deftitute ? For my part, 1 deem it a bleffing of the gods, that they have not excited the warlike poverty of thefe miferable bar¬ barians to invade and plunder the luxurious wealth of Lydia.” The moderation of this advice was rejefted by the fetal presumption of Croefus; who confounding the L Y D -'Lydia. Vne dilates of experienced wifdom with the mean fu<^ geftions of pufiUanimity, difmilfed the counfellor with contempt. I 345 1 LTD being communicated to Cyrus, was immediately adopt¬ ed with approbation by that prince. Harpagus, ha-v ving obferved that horfes had a ftrong averfion to the Meanwhile, the approach of Cyrus, who was not of fliape and fmcll of camels, advifed the Perfian army to a temper to permit his dominions to be ravaged with be drawn up in the following order: All the camels impunity, afforded the Lydian king ah opportunity of which had been employed to carry baggage and pro¬ fcringing the war to a more fpeedy iflue than by his im tended expedition into Perfia. The army of Cyrus gradually augmented on his march | the tributary princes cheerfullycontributingwith their united ilrength viffons were collected into one body, arranged in a long line fronting the Lydian cavalry. The foot foldiers of the Perfians were ported immediately behind the line, and placed at a due diftance. The Median horfe (for towards the affiltance of a mafter whofe valour and ge- a few fquadrons of thefe followed the ftandard of Cy herofity they admired, and who now took arms to rus) formed the rear of the army. As the troops on protect the fafety of his fubjects, as well as to fupport both fides approached to join battle, the Lydian caval- the grandeur of his throne. Such was the rapidity ry, terrified at the unufual appearance of the camels, of his movement, efpecially after being informed of mounted with men in arms, were thrown into difor the deftruftive ravages of the enemy in Cappadocia, .that he arrived from the fhores of the Cafpian to thofe of the Euxine Sea before the army of Crcefus had provided the neceflaries for their journey. That prince, when apprifed of the neighbourhood of the Perfians, der, and turning their heads, endeavoured to efcapc from the field. Crcefus, who perceived the confufion, was ready to defpair of his fortune; but the Lydians, abandoning their horfes, prepared with uncommon bra¬ very to attack the enemy on foot. Their courage de- encamped on the Pterian plain *, Cyrus likewife en- ferved a better fate ; but unaccuftomed as the/ were camped at no great diftance : frequent ikirmifties hap- to this mode of fighting, they were received, and repel- pened between the light troops; and at length a ge- led by the experienced valour of the Perfian infantry, neral engagement was fought with equal fury and per- and obliged to take refuge within the fortified ftrength feverance, and only terminated by the darknefs of of Sardis, where they imagined themfelves fecure. The right. The lofs on both fides hindered a renewal of walls of that city bid defiance to the rude art of at- the battle. The numbers, as well as the courage of tack, as then pra&ifed by the moft warlike nations, the Perfians, much exceeded the expeftation of Croe- If the Perfian army (hould inveft it, the Lydians were fus. As they difeovered not any intention to harafs . provided with provifions for feveral years ; and there his retreat, he determined to move hack towards Sar¬ dis, to fpend the winter in the amufements of his pa¬ lace ; and after fummoning his numerous allies to his ftandard, to take the field early in the fpring with fuch tncreafe of force as feemed fufficient to, overpower the Perfians. But this defign was defeated by the careful vigilance was reafon to expeft, that in a few months, and even weeks, they would receive fuch afliftance from Egypt, Babylonia, and Gre’ece (to which countries they already fent ambafladors), as would oblige the Per¬ fians to raife the fiege. The Lydian minifters difpatched into Greece met with great fympathy from the Sparians. That people of Cyrus. That experienced leader allowed the ene- were particularly obfervant of the faith of treaties; tny to retire without moleftation ; carefully informing himtelf of every ftep which they took, and of every tneafure which they feemed determined to purfue. Patiently watching the opportunity of a juft revenge, he waited until Crcefus had re-entered his capital, and had dilbanded the foreign mercenaries, who compofed and while they puniftied their enemies with unexam¬ pled feverity, they behaved with generous compaffion towards thofe whom they had once accepted for allies. They immediately refolved therefore to fend him a fpeedy and effectual relief; and for this purpofe af- fembled their troops, made ready their yeffels, and the moft numerous divifion of his army, it then feem- prepared every thing neceffary for the expedition. ed the proper time for Cyrus to put his Perfians in motion ; and fuch was his celerity, that he brought the firft news of his own arrival in the plain of Sardis. -Crcefus, whofe firmnefs might well.have been ftiaken by the imminence of this unforefeen danger, was not The valour of the Spartans might perhaps have upheld the finking empire of Lydia ; hut before their armament could fet fail, Crosfuswas no longer a fove- reign. Notwithftanding the ftrength of Sardis, that city had been taken by ftorm on the zeth day of the wanting on the prefent occafion to the duties which he fiege; the walls having been fealed in a quarter which. owed to his fame and the luftre of the Lydian throne. Though his mercenaries were dilbanded, his own fub- jetts, who ferved him from attachment, who had been appearing altogether inacceffible, was too carelefsly guarded. This was effe&ed by the enterprife of Hy- reades a Mede, who accidentally obferved a centinel long accuftomed to vi&ory, and who were animated defeend part of the rock in order to recover his hel- with a high fenfe of national honour, burned with a defire of enjoying an opportunity to check the daring infolence of the invaders. Croefus indulged and en¬ couraged this generous ardour. The Lydians in that age fought on horfeback, armed writh long fpears; the met. Hyreades was a native of the mountainous pro¬ vince of Mardia, and being accuftomed to clamber over the dangerous precipices of his native country, refolved to try his adlivity in palling the rock upon which he had difeovered the Lydian. The defign was ftrength of the Perfians confifted in infantry. They more eafily accomplifhed than he had reafon to ex- ,’ere fo little accuftomed to the ufe of horfes, that mels were almoft the only animals which they employ¬ ed as beafts of burden. This circumftance fuggefted pect: emulatfbn and fuccefs encouraged thebraveft of the Perfians to follow his example; thefe were fup- , ported by greater numbers of their countrymen ; th6 to a Mede, by name Harpagus, a ftratagem, which garrifon of Sardis was furprifed ; the citadel ftormed; Vol. X. Part I. X * the- L Y G E 346 ] L Y N l-ydiat Ae rich capital of Lower Afia fubje£led totlie venge- II .. fill rapacity of an indignant viftor. Thus ended the Ly^11- , ancient kingdom of Lydia, which continued fubjeft to * the Perfians till they alfo were conquered by the Ma¬ cedonians.—For the fate of the Lydian monarch, fee the article Croesus. , LYDIAT (Thomas), a learned Englifh divine, born in 1572, and educated at Oxford. About the year 1609, he became acquainted with Dr James Ufher, afterwards archbifliop of Armagh, who carried him to Ireland. He was at Dublin college for about two years, after which he returned to England ; and the re&pry of Alkrington becoming vacant, he was prefented to it: but at length, being engaged for the debts of a near relation, which for the prefent he was unable to pay, having before fpent his patrimony in printing feveral books, he was fent to prifon; and was confined at Oxford, in the King’s-bench, and elfe- where, till Sir William Bofwell, a generous patron of learned men, Dr Robert Pink, warden of New-college, bifliop Ulher, and Dr Laud, difcharged the debt. In the civil wars, he fuffered much in his re&ory of Alk¬ rington from the parliament-party; was four times pillaged to the value of at leaft 701.; and was forced for a quarter of a year together to borrow a fhirt to fhift himfelf. He died in 1646. He wrote fome pieces in Englilh, and many works in Latin, on chro¬ nology and natural hiftory. LYDIUS lapis, in the natural hiftory, of the an¬ cients ; the name of the ftone ufed by way of touch- ftone for the trial of gold and filver, and called by fome Heraclius lapis ; both of which names were alfo applied by the ancients to the load-ftone ; and hence lias arifen no fmall mifunderftanding of their works. Pliny has obferved, that both the load-ftone' and touch-ftonewereat tirriesealled/.j'^zArand Heraclius lapis. The true lapis Lyc&us, or the touchftone, was an¬ ciently found only in the wer Tmolus ; but was after¬ wards found in many other places, and is now very common in many of the German rivers. The ancients give us very remarkable and circumftantial accounts of the ufes they made of it; and it is plain they were able to difcern the alloys of gold by means of it with veiy great exa&nefs. We at prefent ufe feveral different ftones under this name, and for the fame purpofe. In Italy, a green marble called vsrdello, is moft frequently ufed; and with us, very frequently fmall pieces of the bafaltes, the fame with that vaft piece of black marble called the Giant's Caufeway in Ireland. See Ba- saltes ; Giant's Caujeivay} Iceland, n&5; Staffa; and Volcano. LYCEUM, in botany: a genus of the monogy- iiia order, belonging to the triandria clafs of plants ; and in the natural method ranking under the fourth order, Gramina. The fpatha or (heath is monophyl- lous; there are a pair of corollae upon the fame ger- men ; the nut is bilocular. LYGH> Ligii, Lugii, or Logiones (anc. geog.), a people of Germany, to the weft of the Viftula, where st forms a bend like a crefcent 4 Ligii, (Dio) ; Lugii, (Strabo) ; Logiones, (Zofimus). Their name Lugii is conjeftured to be derived from their mutually clofe confederacy or league. The Viftula was their boun¬ dary to the north, caft, and fouth, with mount Afc^ burgius to the weft. Now the whole of that ceuntry Lying-in. lies in Poland, on this fide the Viftula. women LYING-in-Women. See Midwifery. . H. Lxing-To, or Lying-By, the fituation of a (hip, when (he is retarded in her courfe, by arranging the ■ ^^ fails in fuch a manner as to counteraft each other with nearly an equal effort, and render the fhip alriioft im¬ moveable, with refpeft to her progreffive motion, or head-way. A fhip is ufually brough.t-to by the main and fore-top fails, one of which is laid aback, whilft the other is full; fo that the latter pufhes the (hip forward, whilft the former refills this impulfe by forcing her aftern. This is particularly pradtifed in a general engagement, when the hoftile fleets are drawn up in two lines qf battle oppofite each other. It is alfo ufed to wait for fome other (hip, either approach¬ ing or expected; or to avoid purfuing a dangerous courfe, efpeciaUy in dark or foggy weather, &c. LYME-regis a fea-port town of Dorfetfhire in England, 1.48 miles from London. It lies near the fea, on the very borders of Devonfhire, in a cavity between two rocky hills, which makes it dif¬ ficult of accefs. It is about five furlongs long, and contains about 200 houfes. As it lies on the decli¬ vity of a hill, the houfes make a good fhow, one above another; and fome of them are built of free- ftone, and covered with blue flate. The corporation confifts of a mayor (who is juftice of peace during his mayoralty and the year after, and in the third year both juftice and coroner), a recorder, 15 capital burgefies, and a town-clerk. This place had formerly a very flourifhing trade to France, Spain, the Straits, New¬ foundland, and the Weft Indies; during which, the cuftoms amounted fome years to 16,cool. But it ftands on fuch a high fteep rock, that the merchants are ob¬ liged to load and unload their goods at a place a quarter of a mile off, called the Cobb, originally built in the reign of Edward 111. which cofts a great fum to maintain, but forms fuch a harbour as perhaps is not to be equalled in the world, the (hips being (heltered by a high thick ftone wall, raifed in the main fea a good way from the fhore, broad enough for car¬ riages and warehoufes, and the cuftom-houfe officers have one upon it. The cellars of the low part of the town, near the fea, are however often overflowed by the fpring-tides 1 o or 12 feet. There are guns planted for defence bo-th of the Cobb and the town, the fhore here being very proper for batteries. The cuftom-houfe ftands on pillars, with the corn-market under it. There is an alms-houfe in church-ftreet, alfo PrefByterian and Anabaptift meeting-houfes. The town-hall is near Broad-ftreet. The church ftands at the eaft end of the town on a rifing ground. The market here is Friday, and there are two fairs in the year. We read, that, in 774> the Saxon King Kinwulf gave land here¬ abouts to the church of Sherborn, for the boiling of fait there to fupply its neceffities. At this place the duke of Monmouth landed in 1685. A few years ago above 2000L worth of gold and filver coin of Char. I. and II. were difeovered by fome labourers. LYMINGTON, a borough-town of Hampfhire in England, 97 miles fouth-weft of London. It ftands about a mile from the channel, running between the main land and the ifle of Wight; and has a harbour f«* £ Y N t 347 1 L Y N Lymph for veflels of confiderable burden. Tbe tide flows near II a mile above the town. It has a market on Satur- Lyncunm. t}ayS> ancj two fairs in the year ; and fends two mem- ' bers to parliament. LYMPH, a fine colourlefs fluid, feparated in the body from the mafs of blood,, and contained in pecu¬ liar veffels called lymphatics. See Anatomy. LYMPHATI, was a name given by the Romans to fuch as were feized with madnefs. It is fuppofed to be ufed for Nymphati, becaufe the ancients imagined that every perfon who had the misfortune to fee a nymph was inftantly ftruck 'with phrenzy. Lymphali may indeed fignify “ madmen,” as derived from lym- pha, “ wafer ’* over which element the nymphs were thought to prefide : But it Appears molt likely, that diftra&ed people were called lyir.phati, from the cir- cumftance of madmen’s being affe&ed with the hydro- phobia or dread of water after the bite of a mad dog ; for this peculiarity, in cafes of canine madnefs, was not unknown to the Romans. LYNCEUS, in fabulous hiftory, one of the yofons of zEgeus, married Hypermneftra,one of the 50 daugh¬ ters of Danaus. See Hypermnestra. Lynceus, in fabulous hiftory, one of the Argo¬ nauts, who went with Jafon in the expedition to ob¬ tain the golden fleece. He was of great ufe to the Argonauts, by enabling them to avoid the fand-banks and rocks they found in their way. The poets fay, that Lynfceus had fo piercing a fight, that it could not only penetrate to the bottom of the fea, but even to hell. Some mythologifts fuppofe, that this fable is taken from Lynceus’s fkill in obferving the ftars, and difco- veringthe mines of gold and filver concealedin the earth. LYNCURIUM, a ftone thought to be the fame with the tourmalin. The name is derived from *l lynx,” and <“ urine.” LYNCURIUS lapis, a ftone capable of produ¬ cing mufhrooms. In the Ephemerides of the Curious we find men¬ tion made of a ftone, fo called by Dr John George Wolckamerus, who faw one In Italy, which never ceafes to produce in a few days mufhrooms of an excellent flavour by the moft Ample and eafy pro- cefs imaginable. “ It is ffayshe) of the bignefs of an ox’s head, rough and uneven on its furface, and on which alfo are perceived fome clefts and crevices. It is black in fome parts, and in others of a lighter and greyifh colour. Internally it is porous, and near¬ ly of the nature of the pumice-ftone, but much hea¬ vier ; and it contains a fmall piece of flint, which is fo incorporated with it’ as to appear to have been form¬ ed at the fame time the ftone itfelf received its form. This gives room to judge, that thofe ftones have been produced by a fat and vifcid juice, -which hasthe pro- perty of indurating whatever matter it filtrates into. The ftone here fpoken of, when it has been lightly covered with earth, and fprinkled with warm water, produces muflirooms of an exquifite flavour, which are ufually round, fometimes oval, and whofe borders, by their inflexions and different curvities, reprefent in fome meafure human ears. The principal colour of thefe mufhi'Goms is fometimes yellowifh, and fometimes of a bright purple ; but they art always diffeminated with 'different fpots, of a deep orange colour,, or red brown; and when thefe fpots are recent, and ftill in full bloom, Lyneuvinf, they produce a very agreeable effedt to the fight. But what appears admirable is, that the part of the ftalk v which remains adhering to the ftone, when tbe mufti-* room has been feparated from it, grow, gradually hard* and petrifies in time, fo that it feems that this fungites reftores to the ftone the nutritive juice it received from it, and that it. thus contributes to its increafe.” John Baptift Porta pretends, that this ftone is found in fe- veral parts of Italy ; and that it is not only to be met with at Naples, taken out of mount Vefuvius, but al¬ fo on mount Pantherico, in the principality of Arel- lino; on mount Garganus, in Apulja; and on the fummit of fome other very high mountains. He adds, that the muftirooms which grow on thofe forts of ftones, and are ufually called fungi lyncurii, have the property of diffolving and breaking the ftone of the kidneys and bladder; and that, for this purpofe, nothing more is required than to dry them in the fhade, and being re¬ duced to powder, to make the patient, faffing, take a fufficient quantity of this powder in a glafs of white- wine, which will fo cleanfe the excretory du&s of the urine, that no ftones will ever after be collefted in them. As to the form of thofe mufhrooms, their root is ftony, uneven, divided according to its longitudinal direftion, and compofed of fibres as fine as hairs, in¬ terwoven one with another. Their form, on firft ftioot- ing out, refembles a fmall bladder, feared then larger than the bud of a vine ; and if in this ftate they are fqueezed between the fingers, an aqueous fubacid li¬ quor iffues out. When they are at their full growth, their pedicle is of a finger’s length, larger at top than at bottom, and becomes infenfibly flenderer in propor¬ tion as it is nearer the earth. 'Bhefe mufhrooms are alfo formed in an umbella, and variegated with an in¬ finity of little fpecks fituated very near one another. They are fmooth and even on the upper part, but un¬ derneath leafy like the common mufhrooms. Their tafte is likewife very agreeable, and the fick are not debarred eating of them when they have been dreffed in a proper manner. Curiofity having prompted fome naturalifts and phyficians to fubmit thefe ftones to A chemical analyfis, in order to be more competent judges of the ufes they might be put to in medicine, there firft came forth, by diftillation, an infipid water, and afterwards a fpirituous liquor. The retort having been heated to a certain point, there arofe an oil, which had nearly the fmell and tafte of that of guaiacum ; and a very acrid fait was extrafted from the- allies. LYNN-regis, a town of Norfolk, in England, diftant 98 miles from London. It is a handfome, large, well-built place, and fends two members to par¬ liament. It was a borough by prefeription in 1298. King John, on account of its adherence to him againft the barons, made it a free borough, with large pri¬ vileges. He appointed it a provoft, ^nd gave it a large filver cup of 73 ounces doubly gilt and enamel¬ led, and a large filver fword that is carried before the mayor ; though this laft, according to fome, is Hen¬ ry VIII.’s fword, which he gave to the town when it came into his hands by exchange with the bifhop -of Norwich ; after which it was called King’s Lynn; whereas before it was Bifhop’sLynn. Henry HI. made it a mayor-town, for its ferving him againft the barons. L Y N [ 348 ] Lynn-regis. Jt has had 15 royal charters; and is governed by a perpendicular. *" »“ mayor, high-ftevvard, under-fteward, recorder, x 2 aider- men, and 18 common-council men. It has two churches, belides St Nicholas, a chapel of eafe to St Margaret’s, a prelbyterian and a quakers meeting-houfe, with a Xi Y O In the great market-place a ftatue^pn-i was erefted in 1686 to the honour of king James II. II There is another fpacious market-place,, adorned with ^ a ftatu* of king William III. and a.fine crofs with a dome and gallery round it fupported by 16 pillars. bridewell or workhoufe, and feveral alms-houfes, and The market-houfe is of free-done, fupported by 16 a free-fchooL. In September 1741 the fpires of its columns; and is 70 feet high, erected on four fteps, neat, two churches were both blown down by a ft or m of ly adorned with ftatues, &c. Every firft Monday in the wind ; and that of St Margaret’s, which was 193 feet month, the mayor; alderrtien, preachers, &c. meet to in height, having beat in the body of the church, it hear and determine all controverfies amicably, for pre- has been fince rebuilt, towards which king George II. venting law-fuits. This was firft eftablilhed in 1588, and gave L. 1000, and the late earl of Orford, then Sir is called The Feajlof Reconciliation.. The markets are Robert Walpole, L. 500. This church was formerly on Tuefdays and Saturdays and it has two fairs: an abbey, and afterwards one of the largeft pariih- churches in England. The town-houfe, called Tri¬ nity-hall, is a noble old fabric pand fo is the Exchange, which is of free-ftone, with two orders of columns. St Nicholas’s chapel is very ancient, and reckoned one of the faireft and largeft of the kind in England. It has a bell-tower of free-ftone, and an eight-fquare fpire over it, both which together are 170 feet from one of which, beginning Feb. 14. lafts for a fortnight, and is called Lynn-mart; the other is a cheefe-fair on 0 a dered L Y O r 349 ] L Y O ' LTonct. dered with the badges of the kingdom. The Lord w--'\ Icon’s rank- is fuperior to that of any other king of arms, as he holds hia office ftnmediately from the fove- reign by commiffion under the great feal j whereas the kings of arms in Engldnd are deputies to the Earl Marfhal, and aft under his authority. Formerly Scot¬ land was divided into two provinces, the one on the north and the other on the fouth fide of Forth ; and thefe provinces were tinder tire management of two de¬ puties appointed by the Lord Lyon to fuperintend the execution of all the bufinefs of his office. Before the revolution, the Lord Lyon, at his admiffion into office, was molt folemnly crowned by the fovereign or his commiffioner, in pretence of the nobility, the officers of Hate, and other great men, after a fuitable fermon preached in the royal chapel j and his crown was of the fame farm with the imperial crown of the king¬ dom. On fblemn occafions he wears.the regalia above defcribed at all other times, he wears the oval gold medal or badge on his breaft, fufpended by a broad green ribbon. He has the abfolute difpofal of all the offices in his own court, and of the heralds and pur- fuivants places. The. meffengers at arms throughout Scotland are alfo created by him, and are amenable to his jurifdiftion. And the powers veiled in him by his commiffiian.are the lame with thofe of the fovereign in all matters relative to the marks of gentility. LYONET (Peter), an ingenious naturalilt, and member of feveral learned focieties, was born at Msef- tricht, and was defcended from a very ancient and re- fpeftable family of Lorrain. He had fcarcely attain¬ ed his feventh year before he difplayed an uncommon llrength and agility in all bodily exercifes ; but he was not lefs diligent in the improvement of his mind. Be¬ ing placed at the Latin fchool, he learned chronology, and exercifed himfelf in Latin, Greek, and French poetry, as alfo in- Hebrew, logic, and the Cartefian Phy- lics. He was particularly fond of the lludy of lan¬ guages, whereof he. underftood no lefs than nine, li¬ ving and dead. Having entered the univerfity of Ley¬ den, he ftudied the Newtonian philofophy, geometry, algebra, &c.;, but his father (who was a clergyman), defiring he ffiould attach himfelf to divinity, he reluc¬ tantly abandoned the former ftudies, as his paffion for them was not ealily to be overcome. He at the fame time applied himfelf to anatomy, and alfo to mufic and drawing. He began afterwards to praftife fculp- ture : and performed feveral pieces in wood, fome of which are preferved, and have been greatly admired by .the artifts. After this, he betook himfelf to. drawing portraits of his friends from life ; wherein,- after three or four months praftice, he became a great- proficient. Having attained the. degree, of candidate) in divinity, he refolved to lludy law, to which he ap¬ plied himfelf with fo much zeal, that he was promo, ted at the end of the fifil year. Arrived at the Hague, he undertook the lludy of decyphering; and became fecre- tary of the cyphers, tranflator of the Latin and French languages, and patent-mailer, to their High Mighti- ueffes. Meanwhile, having taken a llrong liking to the lludy of infefts, he undertook an hillorical de- feription of fuch as are found about the Hague, and to that end collefted materials for feveral volumes; and having invented a method .of drawing adapted thereto,- he enriched this work with a great number of plates, Lyon-.t. univerfally admired by all the connoiffeurs vvho had J-' feen them. In the year 1742 was printed at the Hague a French tranilation of a German work, the ‘ Theology of Infefts,’ by Mr Leffer. Love of truth engaged Mr Lyonet to defer the publication of his a - bove-mentioned defeription, and to make fome obfer- vations on that work, to which he has added two molt beautiful plates, engraved from his defign=. This per¬ formance caufed his merit to be'univerfally known and admired. The celebrated M. de Reaupiur had the above tranilation reprinted at Paris, not fo much on account of the work itfelf as of Mr Lyonet’s obfer- vations ; and bellowed on it, as did alio many other authors, the highell encomiums. He afterwards exe¬ cuted drawings of the frelh-water polypus for Mr Trembley’s beautiful work, 1744. The ingenious Wandelaar had engraved the firil five plates ; when Mr . Lyonet, who had never witneffied this operation, con¬ cerned at the difficulties he experienced in getting the remaining eight finilhed in the fuperior llyle he requi¬ red, refolved to perform the talk 'himfelf. He ac¬ cordingly took a lefibn of one hour of Mr Wandelaar, engraved three or four fmall plates, and immediately began upon the work itfelf, which he performed in fuch a manner as drew on him the highell degree of praife, both from Mr Trembley and from many other artiils, particularly the celebrated Van Gool} who declared that the performance allonilhed not only the amateurs, but alfo the moll experienced artills. In 1748 he waschofen member of the Royal Society of London. In 1749 he began (by mere- chance) his amazing colleftion of- horns and ffidls, , which, according to the univerfal tellimony of all tra¬ vellers and amateurs who have.vifited it, is at prefent- the moll beautiful, and certainly one of the moll valua¬ ble, in Europe. In 1753 .he became member of the. newly-ellabliihed Dutch. Society of Sciences at Haer- lem; and in 1757, after the celebrated M. le Cat, profeffor in anatomy , and furgery, .and .member of al- moll all the principal focieties.in Europe, had feea Mr Lyonet’s incomparable Traite /Initomique cle la Chs* nille qui range le Bait de Saule, with. the. drawings be- longing to it- (which work was afterwards publilhed), he was. elefted member of the Royal Academy of Sci¬ ences of Rome, whereof M* le Cat was perpetual fe- cretary. After the publication of this treatife, he be¬ came, in 1760, member of the. Royal Academy. «f Sciences of Berlin ; in 1761, of the Imperial Acade¬ my of Naturdills; and, in 1762, of the Imperial Aca¬ demy of Sciences at St Peterlbur-g. In order to en¬ able fuch as might be defirous-of following him in his intricate and-, moll allonilhing difeoveries refpefting the. llrufture of this animal, Mr Lyonet .puhlilhed, in the- * Tranfaftions of the Dutch Society of Sciences at Haer- lem,’ a defeription and a plate (as he alfo afterwards did in French at the. beginning pf his Trade An at omique) of the inftrument .and tools he had invented for the pur- pofe of diffieftioa, and likewifc of the method he ufed. to afeertain the degree of sftrength 'of his magnifying glaffies. Notwithllaading all this labour, which was confiderably increafed by the extenlive correfpondence. which he for many years carried on with feveral learn¬ ed and refpeftabk perfonaggs, he Rill found-means ta L Y R [ 350 1 L Y R fi t apart a large proportion of his time (as he himfelf mentions it in his preface) for the immediate fervice of his country ; but was not fortunate enough (as ap¬ pears by his writings) to get any other reconipenfe for. his exertions than forrow and difappointment.— During the laft fifteeen or twenty years of his life, Mr Lyonet added to the valuable treafure he had already colledted of natural curiofities, a moft fuperb cabinet of paintings, confiding of more than 560 performances; Concerning tlie number of firings with which this inftrument was furnifhed, there is great controverfy. Some affert it to be only three; and that the founds of the two remote were acute, and that of the inter¬ mediate one a mean between thofe two extremes-* that Mercuiy, the inventor, refembled thofe three chords to as many feafons of the year, which were all that the Greeks reckoned, namely, Summer, Winter, and Spring : affigning the acute to the firft,the grave among which are jnany of. the moft eminent works of to the fecond, and the mean to the third. $he firft Dutch mafters. He did this with a view to procure himfelf fome amnfement during the latter part of his life, when old age and infirmities muft weaken his powers, and fet bounds to his activity. He had always indeed accuftomed himfelf to employment, in- fomuch that he has written fome pieces of Dutch po¬ etry ; and this difpofition remained with him till with¬ in a fortnight of his death, when he was attacked with an inflammation in his breaft, which, though apparent¬ ly cured, was, in the end, the caufe of his diffolutior He died at the Hague in January 1789, aged 83 years, leaving behind him a moft eftimable character. LYONOIS, a large province of France ; bound¬ ed on the north by Burgundy ; on the eaft, by Dau- Others affert that the lyre had four firings ; that the interval between the firft and the fourth was an oc¬ tave ; that the fecond was a fourth from the firft, and the fourth the fame diftance from the third, and that from the fecond to the third was a tone. Another clafs of writers contend that the lyre of Mercury had feven firings. Nicomachus, a follower of Pythagoras, and the chief of them, gives the follow¬ ing account of the matter : “ The lyre made of the fhell was invented by Mercury ; and the knowledge of it, as it was conftrucled by him of feven firings, was tranfmitted to Orpheus : Orpheus taught the ufe of it to Thamyris and Linus f the latter of whom taught it y ^ , to Hercules, who communicated it to Amphion the phiny, Breffe, and the principality of Dombs; on Theban, who built the feven gates of Thebes to the the fouth, by Vivareis and Velay ; and on the weft, by feven Airings of the lyre.” The fame author proceeds Auvergne and a fmall part of Bourbonribis. It com- to relate, “ That Orpheus was afterwards killed by prebends Lower Lyonnois, Beaujolois, and Forez ; the Thracian women ; and that they are reported to and it produces corn, wine, fruits, and more efpeci- have call his lyre into the fea, which was afterwards ally excellent chefnuts. The principal rivers are the thrown up at Antiffa, a city of Lelbos: that certain Soane, the Rhone, and the Loire. Lyons is the ca- fiftiers finding it, they brought it to Terpander, who pital town. carried it to Egypt, exquifitely improved, and, Ihow- LYONS, a large, rich, handfome, ancient, and mg it to the Egyptian priefts, affumed to himfelf the famous town ofFrance, being the moft confiderable in honour of its invention.” the kingdom, next to Paris, with an archbilhop’s fee, This difference among authors feems to have arifen an academy of fciences-and belles lettres, and an aca- from their confounding together the Egyptian and the demy of arts and fciences fettled here in 1736. It is Grecian Mercuries.—The invention of the primitive feated in the centre of Europe, - on the confluence of lyre with three firings was due to -the firft Egyptian the rivers Rhone and Soan : on the fide of it are two Hermes, as mentioned under that article.—The lyre high mountains; and the mountain of St Sebaftian attributed to the Grecian Mercury is defcribed by al- ferves as a bulwark againft the north winds, which of¬ ten blow here with great violence. It contains about 150,000 inhabitants; and the houfes, in general, are high- and well built. - It has fix gates, and as many fuburbs. The town-houfe, the arfenal, the amphi¬ theatre built by the ancient Romans, the hofpital, and the numerous palaces, are worthy of a traveller’s moft all the poets to be an inftrument of feven ftringsf.yee Vincenzio Galilei has colle&ed the various opinions offary. the feveral Greek writers who have mentioned the in¬ vention of the chelys or teftudo ; and the late Mr Spence has done the fame in a very circumftantial but ludicrous manner. “ Horace talks of Mercury as a wonderful mufician,-and reprefents him with a lyre. attention. The cathedral is a fuperb ftrufture, and There is a ridiculous old legend relating to this invcn- the canons that compofe the chapter are all perfons of diftin&ion. It is a place of very great trade, which is extended not only through France, but to Italy, Swifferland, and Spain; and there are four celebrated fairs every year, which are frequented by great num¬ bers of people. It derives vaft advantages from the ri¬ vers it ftands upon ; and is fituated in E. Long. 4. 55. N. Lat. 45. 46. • ' LYRA, in ichthyology. See Callyonimus. Lyra, in aftronomy, a conftellation in the nor¬ thern hemifphere. The number of its ftars, in Pto¬ lemy’s catalogue, is ten ; in Tycho’s eleven ; in Heve- lius’s feventeen; and in the Britannic catalogue twen¬ ty-one. LYRE, a mufical inftrument of the ftringed kind, much ufed by the ancients. tion, which informs us, that Mercury, after Healing fome bulls from Apollo, retired to a fecret gfotto, which he ufed to frequent, at the foot of a mountain in Arcadia. Juft as he was going in, he found a tor- toife feeding at the entrance of his cave : he killed the poor creature, and, perhaps, eat the flefti of it. As he was diverting himfelf with the {hell, he was mightily pleafed with the noife it gave from its concaVe figure. He had poffibly been cunning enough to find out, that a thong pulled ftrait and faftened at each end, wh^n ftruck by the finger, made a fort of mufical found. However that was, he went immediately to work, and cut feveral thongs out of the hides he had lately ftolen, and faftened them as tight as he could to the {hell of this tortoife ; and, in playing with them, made a new kind of mufic with them to divert himfelf in his 3 retreat.” I* Y II retreat.” This, confidered only as an account of the firft invention of the lyre, is not altogether fo unna¬ tural. The moll ancient reprefentations of this inftrument agree very well with the account of its invention : the ly<-e, in particular on the old celeilial globes, was re- prefented as made of one entire Ihell of a tortoife ; and that Amphion in the celebrated group of the Dirce or Toro, ,in the Farnefe palace at Rome, which is of Greek fculpture, and very high antiquity, is figured in the fame manner. There have, however, been many other claimants to the feven-ftringed lyre. For though Mercury invent¬ ed this inftrument in the manner already related, it is faid he afterwards gave it to Apollo, who was the firil that played upon it with method, and made it the con- ftant companion of poetry. According to Homer’s- account of this tranfa&ion, in his hymn to Mercury, it was given by that god to Apollo, as a peace-offering and indemnification for the oxen which he had ftolen from him: To Phoebus Maia’s fon prefents the lyre, A gift intended to appeafc hh ire. The god receives it gladly, and eflays The novel inftrument a thoufand ways; With dext’rous (kill the pledtrum wields; and fings, With voice accordant to the" trembling fttings. Such ftraius as gods and men approv’d, from whence The fweet alliance fprung of found and feufe. Diodorus informs us, that Apollo foon repenting of the cruelty with which he had treated Marfyas in confequence of their mufical conteft, broke the firings of the lyre, and by that means put a flop for a time io any further progrefs in the pra&ice of that new in- flrument. The mufes (adds he) afterwards added to this inftrument the firing called mefe ; Linus, that ©f lichanos ; and Orpheus and Thamyras, thofe firings which are namedhypate andparhypate (a). Again, many ancient and refpedlable authors tell us, that, before the time of Terpander, the Grecian lyre had only four firings ; and, if we may believe Suidas, it remained in this flate 856 years, from the time of Amphion, till Terpander added to it three new firings, which extended the mufical fcale to a hepta¬ chord, or feyenth, and fupplied th,e player with two conjoint tetrachords. It was about 150 years after this period, that Pythagoras is faid to have added an eighth firing to the lyre, in order to complete the oc¬ tave, which confifted of two disjoint tetrachords. L Y R Boethius gives a different hiftory of the fcale, and tells us, that the fyflem did not long remain in fuch' ^ narrow limits as a tetrachord. Cliortebus, the fon of Athis, ox Atys, king of Lydia, added a fifth firing ; Hyagnis, a fixth; Terpander, a feventh; and, at length, Lychaon of Samos, an eighth. But all thefe accounts are irreconcileable with Homer’s hymn to Mercury, where the chelys, or teftudo, the invention of which he aferibes to that god, is faid to have had feven firings. There are many claimants among the musicians of'An¬ cient Greece to the firings that were afterwards added to thefe, by which the fcale, in the time of Ariftoxenus, was extended to two odtaves. Athenams, more than once, fpeaks of the nine-ftringed inftrument; and Ion of Chios, a tragic and lyric p«et and pbilofopher, who firft recited his pieces in the 82d olympiad, 452 B.C. mentions, in feme Verfes quoted by Euclid, the ten- ft ringed lyre ; a proof that the third conjoint tetra¬ chord was added to the fcale in his time, which w'as about 50 years after Pythagoras is fuppofed to have conftru&ed the oftachord. The different claimants among the Greeks to the fame muffcal^lifcovenes,only prove, that mufic was cul¬ tivated in different countries ; and that the inhabitants- of each country invented and improved their own in- flruments, fome of which happening to refemble thofe of other parts of Greece, rendered it difficult for hi- ftorians to avoid attributing the fame invention to dif¬ ferent perfons. Thus the fingle flute was given to Mi¬ nerva and to Marfyas ; the fyrinx or fiftula, to Pan and to Cybele ; and the lyre or chithara, to Mercury, Apollo, Amphion, Linus, and Orpheus. Indeed, the mere addition of a firing or two to an inftrumtnt with¬ out a neck, was fo obvious and eafy, that it is fcarce poffible not to conceive many people to have done it at the fame time. With refpedl to the form of the ancient lyre, as little agreement is to be found among authors as about the number of firings. The heft evidences concerning it are the reprefentations of that inflrumentin the hands of ancient flat ues, bas-reliefs,&c. See JVteCCLXXV. whdre, Fig. 1. is a reprefentation of the teff udo, or lyre of Amphion, in front, as it appears on tlie bafe of the ce¬ lebrated Toro Farnefe at Rome. This admirable work, confifling of four figures bigger than the life, befides the toro, or bull, was found in Caracalla’s baths, where the Famefe Hercules was likewife difeovered : and, ex- N cept t 251 ] ( a) It has been already related, that the lyre invented by the Egyptian Mercury had but three firings and by putting thefe two circumflances together. Dr Burney obferves, we may perhaps acquire fome know¬ ledge of the progrefs of mufie, or, at leaft, of the extenfion of its fcale, in the highefl antiquity. Mefe, in the Greek mufic, is the fourth found of the fecond tetrachord of the great fyflem, and firfl te¬ trachord invented by the ancients, anfwering to our A,, on.the fifth line in the bafe. If this found then was added to the former three, it proves two important points: firil, that the moll ancient tetrachord was that from E in the bafe to A ; and that the three original firings in the Mercurian and Apollonian lyre were tuned! E, F, G, which the Greeks called Hypate Mefon Farhypate Mefon, Mefon Diatonos. The addition therefore *f Mefe to thefe, completed the firfl and mofl ancient tetrachord, E, F, G, A. The firing lichanos, then, being added to thefe, and anfwering to our D on the third line in the bafe, ex¬ tended the compafs downwards, and gave the ancient lyre a regular feries of five founds in the Dorian mode, the mofl ancient of all the Greek modes; and the two firings called Hypate and Parhypate, correfponding with our B and C in the bafe, completed the heptachord, or feven founds, B, C, D, E, F, G, A, a com¬ pafs that received no addition till after the time of Pindar, who calls the inftrument then in ufe the yhvn- tongued lyre.. L Y R C 452 1 L Y R 1 Ig fee> feated on the gulph of Venice. E. Lon. 17. ^ 57. N. Lat 43. 42. MACASSAR, a confiderable kingdom of the iiland of Celebes, in the Eaft-lndies. The climate is very hot; and would be intolerable, were it not for the rains which fall when the fun is direttly over their heads. The foil is extremely fertile, and there are ripe fruits at all times of the year. There are great numbers of monkies, who are devoured by monftrous ferpents ; fome of which are f© large, that they will fwallow one of thefe animals entire. The Macaifars are large, robult, courageous, and greatly addicted to war. They profefs the Mahometan religion. Macassar, a large, ftrong, and handfome town of the ifland of Celebes, and capital of the kingdom of the ifland of Celebes, ■where the king refides. The houfes are all built of wood, and fupported by thick polls ; and they have ladders to go up into them, which they draw up as foon as they have entered. The roofs are covered with very large leaves, which prevent the rain from entering. It is feated near the mouth of a large river, which runs through the king- domfrom north to fouth. E. Long. 117.55.S. Lat.5. o. Macassar Poifon, in natural hiitory, called ippo in the MacafTar and Malayan tongue, is the gum of a cer¬ tain tree, fhining, brittle, black, and every way like Hone-pitch, growing in the ifland Celebes, in the South Seas ; with which all the natives arm themfelves in travel, having a long hollow trunk of a hard red wood like brafil, accurately bored, and at one end is fixed a large lance-blade of iron. Then they make a foiall arrow, very flraight, and fomewhat bigger than a large wheaten Itraw : at one end they fix it into a round piece of white, light, foft, wood, like cork, about the length of the little finger, juft fit for the bore of the trunk, to pafs clear by the force of one’s breath, and to fill it fo exa&ly, that the air may not pafs by, but againft it, in order to carry it with the greater force. At the other end they fix in it either a fmali fifh-tooth for that purpofe, or make a blade of wood of the bignefs of the point of a lancet, about three-quarters of an inch long, and making a little notch in the end of the arrow, they ftrike it firm therein, which they anoint with poifon. The poi- fonpus gum, when gathered, is put into hollow bamr bobs or canes, flopped up very clofe, and thus brought to Macafl'ar. When they fit it for ufe,. they take a piece of fmooth turtle-fhell,. and a flick cut flat, and fmooth at the end: then they take green galan- gal root, grate it, and with the addition of a little fair water, prefs the juice into a clean china, difh: then with a knife fcraping a little of the poifon upon the fhell, dip the end of the flick in.the foranentioned liquor, and with this difl'olve the poifon to the. confilt- enee of a fyrup when this is done, they anoint the fiih-tooth or wooden blade with the fame, flick, and lay it in the fun, fo. that, it may be baked hard. The pointed arrows thus prepared, are put in hollow bam¬ boos, clofe fhut, and in- this ftate. they retain their.vir¬ tue for a month. MACCABiEUS (Judas). See Judas. MACCABEES, two apocryphal books of.fcripture, containing the hiftory of Judas and his brothers, and Maccabeeoi their wars againlt the Syrian kings in defence of their » religion and liberties, fo called from Judas Mattathias, furnamed Maccabeus, as fome fay from the word'330, formed of the initials of mn' criio -a, q. d. Who is like unto thee, 0 Lord, among the Gods ; which was the motto of his flandard ; whence thofe who fought un¬ der his flandard were called Maccabees, and the name was generally applied to all who fuffered in the caufe of the true religion, under the Egyptian or Syrian kings. The firft book of the Maccabees is an excel¬ lent hiftory, and comes neareft to the Ryle and manner of the facred hiftorians of any extant. It was written originally in the Chaldee language, of the Jerufalem dialed, and was extant in this language in the time of Jerom. From the Chaldee it was tranflated into Greek, from the Greek into Latin. It isfuppofed to have been written by John Hyrcanus the fon of Si¬ mon, who was prince and high prieft of the Jews near 30 years, and began his government at the time whene this hillory ends. It contains the hiftory of 40 years, from the reign of Antiochus Epiphanes to the death of Simon the high prieft; that is, from the year of the world 3829 to the year 3869 ; 131 years before Chrifl. The fecond book of the Maccabees begins with two epiilles fent from the Jews of Jerufalem to the Jews of Egypt and Alexandria ; to exhort them to obferve the feail of the dedication of the new altar eredted by Judas on his purifying the temple. The firfl was written in the 169th-year of the era of the Se- leucidie, i. e. before Chrilt 144 ; and the fecond in the t88th year of the fame era, or 125 before Chrift and both appear to be fpurious. After thefe epiltles follows the preface of the author to his hiitory, which is an abridgement of a larger work, compofed by one Jafon, a Jew of Cyreue, who wrote in Greek the hi¬ ftory of Judas Maccabeus and his brethren, and the wars againft Antiochus Epiphanes,. and Eupator his fon. This fecond book does not by any means equal the accuracy and excellency, of the firft. It contains a hiftory of about 15 years, from, the execution of Heliodorus’s commilfion, who was fent by Seleucus to fetch away the treafures of the temple, to the vic¬ tory obtained by Judas Maccabeus over Nicanor; that is, from the year of the world 3828, to the year " 3843, 147 years before Chriit. There are in the Polyglot hibles, both of Paris andl London, Syriac verfions of both thefe books; but. they, as well as the Englifh verfions which we have among the apocryphal writers in our Bibles, are de¬ rived from the Greek. There is. alfo a third book of the Maccabees, containing the hillory-of the perfecu- tion of Ptolemy Philopator againft the Jews in E- gypt, and their fufferings under it; and feems to have been written by fome Alexandrian Jew in the Gdeek language,, not. long after the time of Siracides. It is in moil of the ancient manufeript copies of the Greek. Septuagint, particularly in the Alexandrian and Va¬ tican,. but. was never inferted into the. vulgar Latin verfion of the Bihle„nor confequently. into any of our Englifh copies. Moreover, Joi'ephus’s hiftory. of the martyrs that fuffered under Antiochus Epiphanes, is; found in fome manufeript Greek Bibles,, under , thej name of the fourth book of the- Maccabees. 4 MACBETH,, M , A C [ 358 ] MAG Itfhtcketh, MACBETH, a Scots nobleman in the uth cen- Macbride. jury} near}y allied to Duncan king of Scotland.—• • ''' Not contented with curbing the king’s authority, he carried his peftilent. ambition fo far as to put him to death ; and, chafing Malcolm Kenmure his fon and heir into England, ufurped the crown. Siward earl 'of Northumberland, whole daughter Duncan |}ad mar¬ ried, undertook, hy the order of Edward the Confelfor, the protedlion of the fugitive prince.—He marched with an army into Scotland; defeated and killed Mac¬ beth; and reiU>red Malcolm to the throne of his ancef- tors. Shakefpeare has made this tranfaction the fub- je& of one of his bell tragedies. MACBRIDE (Dr David', an eminent phyfician and philofopher, was defcended from an ancient family in the county of Galloway in Scotland. His grand¬ father, a clergyman, had fettled in Ireland about the end of the lall centuty, as minifter to a Prefbyterian -congregation at Belfall; and his father, who followed the fame line, was fettled at Ballymony in the county of Antrim, where he married, and where our author was born in April 1726. After a proper fchool-edu- -cation, and having pafled fome time under the tuition of ah eminent furgeon in his native place, he was fent to the univerfity of Glafgow. Having there comple¬ ted the ufual courfe of academical ftudies, he came to Edinburgh for the further profecution of medical fci- ence. After a (liort flay here, a war then prevailing between France and Britain, he was induced to go on board the navy in the flation of a furgeon’s mate. In the fervice of his country he continued for feveral years ; and after difcharging for fome time the duties of an affiflant, he was raifed to the rank of furgeon. In this fituation, he firfl turned'his thoughts towards 'the difcovery of a remedy for the fea-fcurvy. It was not, however, at this period, that either chance or rea- foning fuggefled to him the employment of an article which has lince been attended with the moll beneficial confequences. Here he had an opportunity only of obferving the fymptoms, of fludying the nature, and of lamenting the confequences, of the difeafe. The termination of the war by the peace of Aix-la- Chapelle put a peidod to Dr Macbride’s employment as a naval furgeon. He had now probably obtained much medical knowledge in the fchool of experience ; but he was fenfible that he had ftill much to acquire in that of fcience. An ardent keennefs to mingle in active life had led him from the fchools of medicine at an earlier period than could have been wiflied; and an earneft defire to found his future practice in the bell ellabliihed principles led him back to them, when a judgment, matured by years, and informed from the obfervation of fadls, rendered him capable of hearing teachers with greater advantage. He returned there¬ fore to Edinburgh, and again entered on the career of academical purfuits, under the tuition of Dr Monro, and thofe other teachers, whofe abilities raifed the fame of the medical fchool at this place. But not fa- tisfied with the inflrmilions to be had from any one fet of profeflors, the celebrity of the medical teachers in London led him alfo to vifit that capital. There he particularly became the pupil of thofe diflinguifhed Je&urers, Dr Hunter and Dr Smellie. And while from the former he laboured to acquire an accurate chirurgical knowledge, from the latter he endeavoured to obtain the true principles of widwifery confidefed Msebride, as a fcience. At the fame time, he was no lefs indu- w*’v ' '"f llrious in improving himfelf in the fuccefsful practice of both arts by attention at hofpitals. Thus prepared for the exercife of his profeflion, a- bout the end of the year x 749 he fixed his refidence in Dublin in the charadlor of furgeon and accoucheur. If amiable manners, and extenfive knowledge of his profeflion, could alone have been fufficient introduc¬ tions to pradlice, he might in a fhort time have look¬ ed for a competent fhare of bufinefs in that capital; but while he had to combat that objedtion which very generally arifes from youth, his progrefs was alfo not a little retarded by an uncommon degree of modefly. Hence for feveral years he remained almofl in a flats of obfcurity, and was employed by but few people ei¬ ther of rank or fortune. But, if it is to be regretted that for many years his time was not fo fully employed in the lucrative part of his profeffion as was due to his merit, it ought Hill to he remembered, that this ef- fenti,ally promoted the caufe of fcience; for by this means his genius and induflry were directed to medical refearches; and were productive of difcoveries which • will with honour tranfmit his name to latefl pollerity. Thefe, though fome of them might have been fucceis, fully turned to his own emolument, were freely com¬ municated to the world in different publications; and he did not fliow greater ingenuity in making difco¬ veries, than liberality of fentiment in publifhing them for the advantage of others.—His firlt publication, intitled, “ Experimental Effays on Medical and Phi- lofophical SubjeCls,” made its appearance in the year 1764.—Thefe eflays are five in number; 1. On the fermentation of alimentary mixture and the digeition of the food. 2. On the nature and properties of fix¬ ed air. 3. On the different kinds of antifeptics. 4. Of the diffolvent power' of quicklime. 5. Of the fea- fcurvy. The merit of all thefe is fufficiently known and acknowledged: but the lail of them is unqueition- ably the moil important; the method therein propo- fed of both the prevention and cure of that dreadful difeafe the fcurvy, having been confirmed by repeated and undeniable obfervation. Having thus equally diitinguiihed himfelf as an in¬ genious philofopher and able practitioner, the world were not now How in beffowing upon him the tribute of applaufe to which he was intitled. His name was enrolled with honour in the lills of many learned focie- ties; and the univerfity where his itudies had firit been commenced, were proud to confer upon him the degree of Doctor of Medicine. The reputation, however, of being a diftinguilhed author, was to him but a fecondary object; and his talents were not confined to the advancement of medi¬ cine alone. Having fuccefsfully difcovered a confide- rable improvement in the art of tanning, with that . fpirited generofity which is ever the concomitant of real worth, he fpeedily and freely communicated it to the public, by publilhing, firlt, “ An Account of a New Method of Tanning;” and afterwards, “ Inllruc- tions for carrying on the New Method of Tanning.” As a mark of approbation for this liberal condudt, as well as a tdlimony of refpe£t for his ingenuity, prize- medals were conferred upon him by the Societies of Arts both in London and Dublin. But his lalt and molt MAC r 359 3 MAC MacbriHe. moft cxtenfive publication was more immediately in the line of his own profefiion : It is intitled, “ A Me¬ thodical Introduction to the Theory and Practice of Medicine.” In that valuable work he has given a concife and connected view of the principles and prac¬ tice of the healing art* as belt eitablifhed by found reafon, and confirmed by accurate obfervation. Moll, if not all of thefe publications, not only went through various editions, but were tranllated into different'lan¬ guages. After the merit ofDrMacbride came to be proper¬ ly known, the public feemed to fhow a defire of ma¬ king compenfation for having fo long overlooked it. His employment increafed fo rapidly, that he had more bufinefs than he could tranfaCt either with cafe or fafe- ty. This having kept him in perpetual agitation both of body and mind, at laft induced an almoft total in¬ capacity of fleeping. From this circumftance his health could not fail to be impaired- In this fituation, after accidental expofure to cold, he was attacked with a fever, which put an end to his life on the 13th of De¬ cember >778, in the 53d year of his age. Thofe who were his mofl: intimate acquaintance were inclined to believe that his death was not a little haftened by domeftic calamities. During his refidence in Dublin he was twice married, and was as often fub- jeCted to that inexpreffible diftrefs which muft refult from a final reparation in this world from the molt in¬ timate and loving friends. By both of his wives he had feveral children ; but none of them furvived their father. And on thefe calamitous events, although he was able to conceal his feelings from the world, yet they gave a fevere fhock to his conftitution. After his death, feveral of the playful trinkets of his infants, with the fignature of dulces exuvia, were found in his repofitories among papers on medical and other impor¬ tant fubje&s:. an. incontrovertible proof, that in him at kaft, the great mind of the philofopher waa conjoin¬ ed with the feeling heart of the affectionate father. But if his abilities were remarkable as a philofopher and phyfician, if his condu>ft was exemplary as an huf- band and parent, his manners were no lefs amiable as a- companion and friend. His polite and benevolent conduct, joined to his tafte for the fine arts,.conciliated the affections and' elteem of all who knew him. His death was univcrfally and. fincerely lamented in* the city s>f Dublin. MACCLESFIELD, a town of Che/hire in Eng-, fend, 171 miles from London, is feated on the edge of a- foreft of the fame name, upon a high bank near the river Bollin ;■ and is a large handfome town, with a fine church and a very high fteeple. It was ereCted into a borough by King Edward III,, is governed by a mayor, and enjoys great privileges and jurifdidtions fey virtue of the court and the liberties of the foreft. In its church are two brafs plates, on one of which there is a promife of 26,000 years and 26 days pardon for faying five Pater-Nofters and five Aves. Its-chief manufacture is mohair buttons. The market is on Mondays; the fairs are June 11 and 30, and Nov. 2. In Macclesfield foreft are many pits dug for the fake of the turf; in which it is common to fee fir-trees Buried, which are dug up for varitus ufes, but chiefly for fplinters that ferve the poor for candles. W. Long, a, 10. N. Lat. 53. 15. MACE, an ancient weapon, formerly much ufed Mite; by the cavalry of all nations. It was commonly made MaceJonj of iron ; its figure much refembles a chocolate-mill; many fpecimens may be feen in the Tower It was with one of thefe that Walworth rtiayor of London knocked the rebel Wat Tyler from off his horfe in Smithfield for approaching the young king RichardII. in an infolent manner; and as he fell, he difpatched him with his dagger The mace in modern times changed its form ; and being no longer a war inftru- ment, is made of copper or iilver gilt, ornamented with a crown, globe, and crofs, and is now the chief infignia of authority throughout Great Britain. Similar to the ancient maces, were thofe ilaves at the end of wluch iron or leaden balls armed with fpikes were fuf- pended by chains; they were till lately carried by the pioneers of the trained-bands or city militia Mace, in the materia medica, the fecond coat or covering of the kernel of the nutmeg, is a thin and membranaceous fubilance, of an oleaginous nature, and a y ellowifh colour; being met with in flakes of an inch or more-in length, which are divided into a multitude of ramifications. It is of an extremely fragrant, aroma¬ tic, and agreeable flavour; and of a pleafant, but acrid oleaginous tafte. Mace is carminative, ftomachic, and aftringent ; . and poffefles all the virtues of nutmeg, but has lefs- aftringency.—The oils of mace and nutmeg,, whether prepared by diftillation or expreffion,. are fo much of the fame nature, that they may be indiferiminately ufed for one another on all occafions. They give cafe in cholics, and often in nephritic cafes, taken internal¬ ly from one drop/to five or fix of the diftilled oil, or an equal quantity of the expreffed ^ and externally, they are of uft to rub paralytic limbs : they alio aflift di- geftion; and will often ftop vomitings and hiccoughs,, only by being rubbed on the region, of the ftomach. The nurfes have a cuftom of applying oil of mace by expreffion to childrens navels to cafe their gripes, and that often with fuccefs; and we are affured, by air- thors of credit, that when rubbed on the temples, it promotes fleep. MACEDON, or Macedonia, a moft celebrated kingdom of antiquity, was bounded on the call by the jEgean fta ; on the fouth by Theffaly and Epirus; on the weft by the Ionian fea or Adriatic ; on the north, at firft by the river Strymon and the Scardian r mountains, - but afterwards by the river Neffus or Ne- Situau'oir, ftus. In a direft line the whole country extended &c-of thc' only 150 miles in length ; but the windings of the countrT‘ coaft lengthened it out to three times that extent; in which almoft every convenient fituation was occupied by a Grecian lea-port* The coimtry was naturally divided by the Thermaic and Strymonic gulphs, into the provinces of Pieria, Chalds, and Pangasus. The middle region, which took its name from a city of Euboea from whence it was originally peopled, was very ftrtilt and pleafant; the inland country, being diverfifted by. lakes, rivers, and arms of the fea, was extremely convenient for inland navigation,, while the towns of Amphipolis, Potidaea, Acanthus, and many others, afforded marts for the commerce of the republics of Greece, as well as of Thrace and Macedon, On one fide of this diftritt were the mountains of Pangaeus, and on .the other the plains of Pieria. Tire Pangaea ft mom-- MAC [ 360 1 MAC Macedon. mountains, which extended 90 miles towards the eait and the river Neflus, though proper neither for corn nor pafture, produced plenty of timber for fhip-build- ing; while the fouthern branches of the mountain contained rich veins of gold and fdver; but thefe, though wrought fucceffively by the Thafians and the Athe¬ nians, were only brought to perfection by Philip of Macedon, who extracted from them gold and filver to the value of 200,000!. Sterling annually. Pieria ex¬ tended 50 miles along the Thermaic gulph, to the confines of Theffaly and mount Pindus. The inland part of the country was beautifully diverfified with fliady hills andfountains; and fo admirably calculated for folitary walks and retirement, that the ancients look¬ ed upon it to be the favourite haunt of the mufes, and accordingly beftowed upon them the title of Pie- a rules. Different In the moil early times this country was called Mma- names. thin, from JEmathius one of its princes. The name of Maeedon is faid to have been derived from Macedn a defcendant of Deucalion; though others fuppofe it to have been only a corruption of Mygdonia a diltrICt of the country. In thofe remote ages of antiquity, .Macedon, like moft other countries of Europe, was divided into a great, number of petty principalities, of which fcarce even the names are known at this _. 3 time. All authors agree, however, that Carotins was Toumledby tire firfl: who ellabliihed any permanent fovereignty Caranus.' in Macedon. He was an Argive, a defcendant of Hercules, and-about 800 years B. C. conducted a fmall colony of his countrymen into the inland diftriCt of Macedon at that time diilinguifhed by the name of JEmathia as already mentioned. This territory was about 300 miles in circumference. On the fouth it was feparated from the fea by a number of Greek re¬ publics, of which the moft; confiderable were thofe of Olynthus and Amphipolis; and on the north, eaft, and weft, was furrounded by the. barbarous kingdoms of Thrace, Poeonia, and lllyiicum. According to the traditions of thofe times, Caranus, having confulted .the oracle on the fuccefs of his intended expedition, was commanded to be direCled by the goats in the eftablifhment of his empire* For fome time he pro¬ ceeded at random, without knowing what to make of the oracle’s anfwer; but happening to enter the fmall kingdom oi JEmathia, at that time governed by King Midas, he obferved a herd of goats running towards Edejfa the capital. RecolleCting then the anfvver of • the oracle, he attacked and took the city by furprife, foon after making himfelf mailer of the whole king¬ dom. In memory of this remarkable event he called the city JEgea, and the people JEgiates, from the goats who conducted him, and made ufe of the figure of a goat in his ftandard. From this fable alfo we fee why the figure of a goat is fo frequently feen on the coins of Philip and his fuccefibrs. 4 The little colony of Argives led into iEmathia by Ca- Policy of ranus Would foon have been overwhelmed by the barba- p ' rous nations w ho furrounded it, had not this prince and his fubjeCts taken care to ingratiate themfelves with their neighbours, rather than to attempt to fubdue them by force of arms. They inftruded them in the Grecian religion and government, and in the knowledge of many ufeful arts ; adopting themfelves, in fome degree, the language and manners of the barbarians; imparting 189. to them in return fome part of the Grecian civihVa- MacHo* / tion and polite behaviour. Thus they gradually af- —-v—<* fociated with the fierce and warlike tribes in their neighbourhood ; and this prudent conduCt, being fol¬ lowed by fucceeding generations, may be looked upon as one of the caufes of the Macedonian greatnefs. Caranus, dying after a reign of three years, left the kingdom to his fon Coenus ; who having confiderably enlarged his dominions, was fucceeded by Thurymas, and he by Perdiccas I. This laft prince is by Thu-perdi'cca* I. cydides and Herodotus accounted the founder of the a celebrated Macedonian monarchy ; though his hiftory is fo ob-monartl1* feured by fable, that nothing certain can now be knowm concerning it. In procefs of time, how-ever, . the good underftanding which had fubfifted between the Macedonians and their barbarous neighbours be¬ gan to fuffer an interruption; and in 691 B. C. the kingdom was for the firft time invaded by the Illy- $ rians. At firft they did confiderable damage by their JjJg*,]”™ ravages; but the Macedonian monarch, Argasus, ha-rians. ving decoyed them into an ambufh, cut off great num¬ bers, and obliged the remainder to leave the king¬ dom. In the reign of his fucceffors, however, they returned, and occafionally proved very troublefome enemies till the reigns of Philip and Alexander. ^ In the mean time the kingdom of Macedon began Interfc- to be affetfted by thofe-great events which took placerence . in other parts of the world. Cyrus having overthrown ^jPj^aD* the Babylonian empire, and conquered all the weftern domans^' part of Afia, eftablilhed a mighty monarchy, which M threatened all the eaftern parts of Europe with fub- jection. The Greeks, however, having now emerged from their barbarifm, and acquired great knowledge in the art of war, were able to refill effeclually this very formidable power ; but the kingdom of Mace- don, obfeure and unconne&ed, was obliged to yield, and though not formally made a province of the Per- fian empire, was neverthelefs accounted in fome fort as under the vaffalage and proteftion of the Perfians. Alcetas, who afeended the Macedonian throne about the time that the Perfian monarchy was founded, had the dexterity to preferve his dominions from the en¬ croachments of the Greeks on the one hand, and of the Perfians on the other; but in the reign of his fuc- ceffor Amyntas a formal demand was made of fub- milfion to the great King Darius, by fending him a prefent of earth and water. Seven ambaffadors were lent on this errand by Megabizus, one of the officers of Darius. They were fumptuoully entertained by Amyntas; but having attempted to take fome inde¬ cent liberties with the Macedonian women, Alexan¬ der the king’s fon caufed them all to be murdered. This ralh a6tion had almoft proved the ruin of the kingdom; but Alexander found means to pacify Bu- baris the general fent againft him by Megabizus, by Ihowing him his filler Gygasa, a very beautiful wo¬ man, with whom the Perfian fell in love at firft fight, and afterwards married her.' From this time the Macedonians were accounted Advant*- the faithful allies of the Perfians; and, through the gf, accru- interell of his fon-in-law, A myntas obtained the country "‘g «oMa- in the neighbourhood of mount Haemus;and Olympus, at the fame time that the city of Alabanda in Phry- rence. gia was given to Amyntas the nephew of Alexander. The Macedonians dillinguilhed themfelves in the time of . $ Reign of Perdiccas U. Of Arche- laas I. prey to ci¬ vil diffen- fions. MAG L 361 ] MAC of t!ie Perfian invafion of Greece, by furniniing their wicked monarch*. A number of competitors con- Macedoa- ' allies with 200,000 recruits ; though fome cities, par- ftantly appeared for the throne ; and thefe by turns ticularly Potidasa, Olynthus, and Pallene, adhered to called in to their afiiftance the Thracians, Illyrians, the Grecian intereft. The two laft were taken and Theflalians; the Olynthian confederacy, Athens, Spar- rafed, and the inhabitants maffacred by the Perfxans ; ta, and Thebes. Bardyllis, an active and daring but Potidaea efcaped by reafon of the fea breaking chief, who, from being head of a gang of robbers, into the Perfian camp, where it did great damage, had become fovereign of the Illyrians, entered Ma- Alexander, however, afterwards thought proper to court cedon at the head of a numerous army, depofed A- the favour of the Greeks by giving them intelligence myntas II. the father of Philip, and fet up in his of the time when Mardonius defigned to attack them, place one Argaeus, who confected to become tributary The remaining tranfadtions of this reign are entirely to the Illyrians. Another candidate for the throne, unknown, farther than that he enlarged his dominions named Pau/atiias, was fupported by the Thracians ; to the river Neflus on the eaft and the Axius on the but, by the affiftance of the TheiTalians and Olyn- weft. thians, Amyntas was enabled to refume the govern- Alexander I. was fucceeded by his fon Perdiccas II. ment. After his reftoration, however, the Olynthians who, according to Dr Gillies, “ inherited his father’s refufed to deliver up feveral places of importance be- abilities, though not his integrity.” But from his du- longing to Macedon which Amyntas had either en- plicity above mentioned both to Greeks and Perfians, trulled to their care, or which they had taken from It it does not appear that he had much to boaft of as his antagonifl. Amyntas complained to Sparta; and War with to the latter quality. In the Peloponnefian war he that republic, which had already formed fchemes of the Olyn- efpoufed the caufe of the Spartans againft the Athe- very extenfive ambition, fo readily complied with thethl4rM* nians, from whom he was in danger by reafon of their requeft, that it was generally fuppofed to have pro- numerous fettlements on the Macedonian coaft, and ceeded from Spartan emiffaries fent into Macedonia, their great power by fea. For fome time, however. They pretended indeed to hefitate a little, and to take he amufed the Athenians with a fhow of friendfliip 5 time to deliberate on the army which ought to be but at laft, under pretence of enabling Olynthus and railed for the purpofe ; but Cleigenes, the principal fome other cities to recover their liberties, he affifted ambaflador, reprefented the urgency of the cafe in in deftroying the influence of the Athenians in thofe fuch a manner, that the troops which happened at places, in hopes of eftabliftiing that of the Macedo- that time to be ready were ordered to take the field nians in its ftead. But this defign failed of fuc- without delay. Two thoufand Spartans, under the cefs; the Olynthian confederacy was broken, and command of Eudamidas, were ordered into Macedon, the members of it became fubjeft to Sparta, until at while a powerful reinforcement under the command laft, by the misfortunes of that republic, they became of Phoebidas, brother to the general, was ordered to fufficiently powerful not only to refift the encroach- follow him as foon as poflible. By accident, Phoebi- ments of the Macedonians, but to make confiderable das and his auxiliaries were detained till the feafon conquefts in their country. for a&ion was palled ; but Eudamidas with his final! Perdiccas II. was fucceeded about 416 B. C. by army performed very effential fervice. The appear- Archelaus I. He enlarged his dominions by the con- ance of a Spartan army at once encouraged the fub- queft of Pydna, and other places in Pieria, though jefts and allies of the Olynthians to revolt; aud the his ambition feems rather to have been to improve his city of Potidaea, a place of great importance in the dominions than greatly to extend them. He facili- ifthmus of Pallene, furrendered foon after his arrival tated the communication between the principal towns in the country. Being too much elated with his fuc- cf Macedon, by cutting ftraight roads through moft cefs, however, Eudamidas approached fo near the city part of the country : he built walls and fortrefles in of Olynthus, that he was unexpectedly attacked, de- fuch places as afforded a favourable fituation ; encou- feated, and killed in a fally of the citizens. He was raged agriculture and the arts, particularly thofe fub- fucceeded by Teleutias the brother of Agefilaus, who fervient to war; formed magazines of arms; raifed had under his command a body of 10,000 men, and and difeiplined a confiderable body of cavalry ; and was farther aflifted by Amyntas king of Macedon and in a word, fays Dr Gillies, added more to the folid Derdas his brother, the governor or fovereign of the grandeur of Macedon than had been done by all his moft wefterly province of Macedon, which abounded predeceflbrs put together. Nor was he regardlefs of in cavalry. By thefe formiable enemies the Olyn- the arts of peace. His palace was adorned by the thians were defeated in a number of battles, obliged works of Grecian painters. Euripides was long en- to ftiut themfelves up in their city, and prevented tertained at his court; Socrates was earneftly folicited from cultivating their territory ; on which Teleutias to live there, after the example of this philofophic advanced with his whole forces to inveft the city it- poet, formed by his precepts and cherilhed by his felf. His exceflive eagernefs to deftroy his enemies friendlhip : men of merit and genius in the various proved his ruin. A body of Olynthian horfe had the walks of literature and fcience were invited to refide boldnefs to pafs the river Amnias in fight of the allied in Macedon, and treated with diftinguiihed regard by army, though fo much fuperior in number. Teleutias a monarch duly attentive to promote his own glory ordered his targeteers to attack them, the Olyn- and the happinefs of his fubjefts.” thians, having retreated acrofs the river, were clofely This great monarch died after a reign of fix years, purfued by the Lacedemonians, great part of whom a fpace by for too ftiort to accompli ill -the magnificent alfo pafiedthe river ; but the Olynthians foddenly turn- proje&s he had formed. After his death the king- ingupon them, killed upwards of 100, with Tlemoni- dom fell under the power of ufurpers or weak and das their leader. Teleutias, exafperated at this difafter, Vol. X. Part I. Z 2 ordered MAC [ 362 J MAC Macedon. ordered the remainder of the targeteer* and cavalry to *■*■■■—v~ purfue 5 while he himfelf advanced at the head of the heavy armed foot with fuch celerity that they began to fall into diforder. The Olynthians allowed them to proceed, and the Lacedaemonians veiy imprudently advanced juft under the towers and battlements of the city. The townfmen then mounted the walls, and difcharged upon them a ihower of darts, arrows, and other miflile weapons, while the flower of the Olynthian troops, who had been purpofely polled be¬ hind the gates, fallied forth and attacked them with great violence. Teleutias attempting to rally his men, was flain in the firft onfet; the Spartans who attended him were defeated, and the whole army at laft difperfed with great daughter, and obliged to (belter themfelves in the towns of Acanthus, Apolloi- nia, Spartolus, and Potktaa. The Spartans, undifmayed by this terrible difafter, next fent their King Agefipolis with a powerful re¬ inforcement into Macedon. His prefenee greatly raifed the fpirits of the Lacedaemonian allies, and his rapid fuccefs feemed to promife a fpeedy termination to the war, when he himfelf died of a calenture. He was fucceeded in the throne by his brother Cleombro- tus, and in the command of the army by Polybiades an experienced general, who likewife brought along with him a powerful reinforcement. Olynthus was how completely blocked up by land, while a fqua- dron of Lacedaemonian galleys blocked up the neigh¬ bouring harbour of Myceberna. The Olynthians, however, held out for nine or ten months, but at laft were obliged to fubmit on very humiliating condi- The^lyn- ti°ns* They formally renounced all claim to the do- thiar.s obli- minion of Chalcis ; they ceded the Macedonian cities *;ed to fub- to their ancient governor ; and in confequence of this Amyntas left the city of iEgaea or Edefla, where 14 till now he had held his royal refidence, and fixed it Pella made at Pella, a city of great ftrength and beauty, fituated the capital on an eminence, which together with a plain of con- «>f Mace- fiderable extent was defended by impaffable morafles, and by the rivers Axius and Lydias. It was diftant about 15 miles from the iEgean fea, with winch it communicated by means of the abovementioned rivers. It was originally founded by the Greeks, who had lately conquered and peopled it; but in confequence of the misfortunes of Olynthus, it now became the capital of Macedon, and continued ever after to be fo. Amyntas, thus fully eftabliftied in his dominions, continued to enjoy tranquillity during the remaining part of his life. The reign of his fon Alexander was Ihort, and difturbed by invafions of the Illyrians; from whom he was obliged to purchafe a peace. He Fanfanias him two brothers, Perdiccas and Philip, ufurps the both very young ; fo that Paufanias again found means throne. to ufurp the throne, being fupported not only by the Thracians, but a confiderable number of Greek mer¬ cenaries, as well as a powerful party in Macedon it- felf. In this critical juncture, however, Iphicrates the Athenian happening to be on an expedition to Am- phipolis, was addrefled by Eurydice the widow of Amyntas, fo warmly in behalf of her two fons, whom (he prefented to him, that he interefted himfelf in their behalf, and got Perdiccas the eldeft eftablifhed on the throne. He was induced alfo to this piece of generofity by the kindnds which Eurydice and her hufband had formerly fliown to himfelf, and he like- Macedotu! wife faw the advantages which muft enfue to hi* coun- ^ * try from a connexion with Macedon. During the .l6 minority of the young prince, however, his brother Ptolemy, who was his guardian, openly afpired to the the throne* throne ; but he was depofed by the Theban general Pelopidas, who reinftated Perdiccas in his dominions ; and in order te fecure, in the moft effeftual manner, the dependence of Macedon upon Thebes, carried along with him thirty Macedonian youths as hoftages; and among them Philip, the younger brother of the king. Perdiccas now, elated by the proteftion of fuch power- fid allies, forgot Iphicrates and the Athenians, and even difputed with them the right to the city of Am- phipolis, which had been decreed to them by the ge¬ neral council of Greece, but which his oppolition rendered impoffible for them to recover. In confe¬ quence of the truft he put in thefe new allies, alfo, it is probable that he refufed to Bardyllis the Illyrian the tribute which the Macedonians had been obliged to pay him ; which occafioned a war with that nation. In this conteft the Macedonians were defeated with the lofs of 4000 men, Perdiccas himfelf being taken cedonians prifoner, and dying foon after of his wounds. defeated. The kingdom was now left in the moft deplorable t£e‘r . ftate. Amyntas, the proper heir to the throne, was an infant; the Thebans, in whom Perdiccas had placed ]y, ja,* fo much confidence, were deprived of the foverergnty of Greece ; the Athenians, juftly provoked at the un¬ grateful behaviour of the late monarch, (bowed au hoftile difpofition; the Illyrians ravaged the weft, and the Paeonians the north quarter of the kingdom ; the Thracians ftill fupported the caufe of Paufanias, and propoled to fend him into Macedon at the head of a numerous army ; while Argaeus, the former rival of Amyntas, renewed his pretenfions to the throne, and by flattering the Athenians with the hopes of recover¬ ing Amphipolis, eafily induced them to fupport his claims; and in confequence of this they fitted out a fleet, having on board 3000 heavy armed foldiers, which they fent to the coaft of Macedon. Philip, the late king’s brother, no fooner heard of phiHp ar- his defeat and death, than he fet out privately from rives in Thebes; and on his arrival in Macedon found matters Macedon. in the fituation we have juft now deferibed. Fired with an infatiable ambition, it is very probable that from the very firft moment he had refolved to feize the kingdom for himfelf; yet it was neceflary at firlt to pretend that he affumed the thr#ne only to preferve it for his nephew. Philip, as has already been men¬ tioned, was carried off as an hoftage by Pelopidas, but for a long time pad had remained in fuch obfeuri- ty, that hiftorians difagree as to his place of reiidence-; fome placing him in Thebes, and others in Macedon. It is certain, however, that from the age of 15 he bad been very much in the family of Epaminondas, from whofe leffons he could not but derive the greateft emolument. It is probable alfo that he attended this celebrated general in many of his expeditions ; and k is certain, that, with an attendance fuitable to his rank, he vifited mod of the principal republics, and (bowed an attention to their inftitutiens, both civil and mili¬ tary, far fuperior to his years. Having eafy accefs to whomfoever he pleafed, he cultivated the friendlhip of the firft people in Greece. Even in. Athens, where MAC C 363 ] MAC Mac/;don. where no good-will fubfifted with Macedon, the philo- and independent, and fubjeft only to the government Macedon, fophers Plato, Ifocrates, and Ariftotle, cultivated his of its own free and equitable laws. This artful con- —— acquaintance: and the connexion he formed with the duft, together with hi* kind treatment of the pri- principal leaders of that republic in the early period foners, fo wrought upon the minds of the Athenians, of his life, no doubt contributed greatly to the accom- that they confented to the renewal of a treaty which Tp plilhment of the deligns in which he afterwards proved had formerly fublilled between them and his father Retrieve* fo fuccefsful. His appearance in Macedon inltantly Amyntas. Thus he found means to remove all jea- the affairs changed the face of affairs: the Macedonian army, loufy of his ambition or the fchemes he might after- ®^ekinK-though defeated, was not entirely deftroyed ; and the wards undertake to their prejudice ; and not only this, remainder of them fecured themfelves in the fortreffes but to induce them to engage in a ruinous war with which had been built by Archelaus. There were al- their allies, which occupied their attention until Phi- fo confiderable garrifons in the fortrefles, and walled lip had an opportunity of getting his matters fo well towns fcattered over the kingdom ; and the Illyrians, eftablifhed that it was impoflible to overthrow them. 54 who had made war only for the fake of plunder, foon The new king being thus left at liberty to regulate Reduces the returned home to enjoy the fruits of their victory. His his domeftic concerns, began to circumfcribe the Power other enemies, the Thracians and Paeonians, were of his chiefs and nobles ; who, efpecially in the morety# much lefs formidable than the Illyrians, being flill in remote provinces, paid very little regard to the autho- a very rude and uncivilized ftate, incapable of uniting rity of the kings of Macedon ; fometimes, even in under one head in fuch a manner as to bring any for- times of public calamity, throwing off their allegiance midable army into the field. While the Illyrians there- altogether, and affuming an independent government ^ fore gave up the campaign through mere caprice and over confiderable tracts of country. To counteract Ch >ofe» » unfteadinefs, Philip himfelf applied to the Pseonians, the ambition of thefe chiefs, Philip chofe a body ofI”tr"-ler °I and by fair promifes and flattery prevailed upon them the braveft Macedonian youths, whom he entertained youn^men to defift. The king of Thrace, by means of a fum at his own table, and honoured with many teftimonies jochis com- of money, was eafily prevailed upon to abandon the of his friendfhip, giving them the title of his rom/V7-panions. caufe of Paufanias; fo that Philip, freed from thefe nions, and allowing them conftantly to attend him in barbarians, was now left at liberty to oppofe the A- war and hunting. Their intimacy with the fovereign, thenians, who fupported Argasus, and threatened a which was confidered as an indication of their merit, very formidable invalion. obliged them to fuperior diligence in all the fevere du- The appearance of the Athenian fleet before Me- ties of military difeipline ; and the young nobility, thone, with that of Argaeus at the head of a nume- eager to participate fuch high honours, vieci with each rous army in Pieria, filled the whole country with con- other in their endeavours to gain admiflion into this fternation; and Philip, who was by no means deficient diftinguifhed order; fo that while on the one hand in talents neceflary to recommend himfelf to the good they ferved as hoflages, on the other they formed an graces of the people, took the opportunity of getting ufeful feminary for future generals, by whom both Take* up- -Amyntas fet »fide, and himfelf declared king ; for Philip and Alexander were afterwards greatly afliited on him the which indeed the danger of the times afforded a very in their conquefls. fovereign- plaufxble pretext. Argaeus, iu the mean time, advan- Diodorus Siculus, and all the Roman writers who Whether ty- ced with his Athenian allies towards Edeffa, or iEgse, have treated of the hi (lory of Greece, afl'ert that Phi-he infrkui the ancient capital of the Macedonian empire, where lip, in the firfl year of his reign, inftituted the Mace-t?1’,ie he hoped to have been amicably received; but finding donian phalanx; a body of 6000 men armed withp the gates fhut againft him, he returned back to Me- fhort fwords fitted either for cutting or ftabbing, ha- Defeats and thone. Philip haraffed'him. in his retreat, cutting off yjng alfo ftrong bucklers four feet long and two and kills Arg;t- great numbers of his men, and afterwards defeated an half broad, and pikes 14 feet long; ufually march- u« an ufur- Jjjm jn a general engagement ; in which Argaeus him- ing 16 men deep. But this opinion is controverted * ' felf, with the flower of his army, was cut in pieces, by others. Dr Gillies fuppofes that the opinion had and all the reft taken prifoners. arifen from the Romans meeting with the phalanx in This firft inftance of fuccefs contributed greatly to its moft complete form in Macedon ; and as they be- raife the fpirits of Philip’s party ; and he himfelf took came acquainted with Greece and Macedon pretty Philip’s ro care to imProve ^ 'n the beft manner poflible. Ha- nearly at the fame time, it was natural for them to litic treat- vh'g taken a great number of prifoners, both Mace- fuppofe that it had been invented among the Macedo- ment of thedonians and Athenians, he determined, by his treat- nians. The phalanx, he fays, is nothing different firifoaers. meat of them, to ingratiate himfelf with both parties, from the armour and arrangement which had always The former were called into his prefence, and, after prevailed among the Greeks, and which Philip adopt- a gentle reprimand, admitted to fwear allegiance ed in their moft perfect form; “ nor is there reafon to him ; after which they were diftributed through (fays he) to think that a prince, who knew the dan- the army : the Athenians were entertained at his table, ger of changing what the experience of ages had ap- difmiffed^without ranfom, and their baggage reftored. proved, made any alteration in the weapons or tactics The prifoners were juft allowed time to return to their of that people. The improvement in the counter¬ native city and to fpread abroad the news of Philip’s march, to which Philip gave the appearance of ad- generofity, when they were followed by ambaffadors- vancing inftead of retreating, mentioned by -/Elian in Renounces, *rom Macedon with propofals for peace. As he knew his Taftics, c. xxviii. was borrowed, as this author his right to that the lofsof Amphipolis had greatly irritated them, tells us, from the Lacedaemonians. If Philip increafed Amphipo- he now thought proper to renounce his jurifdi&ion the phalanx, ufually lefs numerous, to 6000 men, this **■ over that city ; and it was accordingly declared free was far from an improvement; and the later kings of Z z 2 Macedon, MAC [ 364 ] M A C Mice^facedon, who fvvelkd it to 16,000, only rendered tion. Molt of the towns in Chalcidice were become Maeedon. —u 't~—J that order of battle more unwieldy and inconvenient.” Inftead of this, Philip, according to our author, em¬ ployed himfelf in procuring arms, horfes, and other neceffary materials for war ; and in introducing a more fevere and exadt military difcipline than had formerly 17 been known in Macedon. Overcomes While the king thus took the bell methods to ren- nknland ^er ^ecure at home and formidable abroad, the Illyrians. Pfeonians again began to make incurfions into the kingdom. The death of Agis their king, however, who was a man of great military Ikill, deprived them almolt of every power of refillance when they were attacked. Philip, of confequence, over-ran their country with little oppoiition, and reduced them to the Hate of tributaries to Macedon. No fooner was this accomplilhed, than he undertook a winter’s campaign againll the Illyrians, who had long "been the natural enemies of Macedon. They had now ex¬ tended their territory to the eall; by which means the Macedonians were excluded from the harbours on the coall of the Adriatic. This was a grievance to Phi¬ lip, who feems early to have meditated the raifing of a naval power; neither could he hope to be in fafcty, fhould the kingdom be left open to the incurfions of a barbarous enemy : for which reafons he determined at once to humble thofe enemies in fuch a manner that they fhould no longer be in a fituation to give him any dillurbanee. After an ineffectual negociation, he was met by Bardyllis at the head of a confiderable body of infantry, but with only 400 horfe. They made a gallant refillance for fome time ; but being un¬ able to cope with fuch a fkilful general as Philip, they were defeated with the lofs of 7000 men, among whom was their leader Bardyllis^who fell at the age 18 of 90, . . They are % ^‘s difafter the Illyrians were fo much difhear- forced to tened, that they fent ambaffadors to Philip, humbly become begging for peace on any terms. The conqueror tributary. grallte(l them the fame conditions which had been im- pofed upon the Pasonians, viz. the becoming tributary, and yielding up to him a confiderable part of their country. That part of it which lay to the eaftward of a lake named Lychnidus he annexed to Macedon ; and probably built a town and fettled a colony there ; the country being fertile,, and the lake abounding with many kinds of filh highly efteemed by the ancients. This town and lake were about 50 miles diftant from the Ionian fea; and fuch was the afcendency which the arms and policy of Philip acquired over his neigh¬ bours, that the inhabitants of all the intermediate di- ttridt foon adopted the language and manners of their conquerors ; and their territory, hitherto unconne&ed with any foreign power, funk into fuch abfolute de¬ pendence upon Macedon, that many ancient geogra¬ phers fuppofed it to be a province of that country., HU Philip had no fooner reduced the Illyrians, than he irfitns. began to put in execution greater defigns than any he had yet attempted. The rich coails to the fouthward of Macedon, inhabited chiefly by Greeks, prefeiited a ftrong temptation to his ambition and avarice. The confederacy of Olynthus, after having thrown off the yoke of Sparta, was become more powerful than ever, and could fend into the field an army of 10,000 heavy xmied troops, befides a number of cavalry in propor- its allies or fubjefts ; fo that this populous and wealthy 1" f province, together with Pangasus on the right and Pieria on the left, of both which the cities were ei¬ ther independent or fubjedl to the Athenians, formed a barrier not only fufficient to guard againft any in¬ curfions of the Macedonians, but which was even for¬ midable to them. But though Philip was fenfible 3° enough of the importance of thofe places, he confi- dered thfe conqueli of Amphipolis as more neceffary 0f Amphi- at the prefent time. By the poffeffion of this place polls. Macedon would be conne&ed with the fea, and would be fecured in many commercial advantages, which could not but contribute greatly to the profperity of the kingdom at large ; a road was likewife opened to the woods and mines of Pangseus, the former of which were fo neceffary to the raifing of a naval power, and the latter for the eftablifliment of a proper military force. This city had indeed been declared indepen¬ dent by Philip himfelf in the beginning of his reign ; but this was only to prevent a rupture with the Athe¬ nians, who ffill afferted their right to it as an ancient colony ; thotlgh, by reafon of the perfidy of Ghari- demus, a native of Eubcea, they had hitherto failed in their attempts to recover it. The Amphipolitans, however, having once enjoyed the fweets of liberty, prepared to maintain themfelves in their independence. In the mean time the holtile defigns of Philip, which all his precaution had not been able to conceal, alarm¬ ed the inhabitants to fuch a degree, that they thought proper to put themfelves under the protection of the Olynthians. By them they were readily received in¬ to the confederacy ; and, trufting to the llrength of their new allies, behaved in fuch an infolent manner to Philip, that he was not long of finding a fpecious pretext for hollility ; at which the Oly nthians, great¬ ly alarmed, fent ambaffadors to Athens, requefting their affiftance- againil fuch a powerful enemy. Philip, however, juftly alarmed at fuch a formidable confpi- racy, fent agents to Athens, with fuch expedition that they arrived there before any thing could be con¬ cluded with the Olynthian deputies. Having gained over the popular leaders and orators, he deceived and flattered the magiftrates and fenate in fuch an artful manner, that a negociation was inftantly fet on foot, ^ by which Philip engaged to conquer Amphipolis for Engages to the Athenians, upon condition that they furrendered conquer it to him the ftrong fortrefs of Pydna, a place which f“r t!ie A" he reprefented as of much lefs importance to them ;1 eniaiTS' promifing alfo to confer upon them many other ad¬ vantages, which, however, he did not fpecify at that time. Thus the Athenians, deceived by the perfidy of their own magiflrates, elated with the hopes of re¬ covering Amphipolis, and outwitted by the fuperior policy of Philip, rejected with difdain the proffers of the Olynthians. The ambaffadors of Olynthus returned home high¬ ly difgufled with, the reception they had met with ; but had fcarce time to communicate the news to their Countrymen,, when the ambaffadors of Philip arrived at Olynthus. He pretended to condole with them on. the affront; they had received at Athens; . but teflified. his furprife that they fhould court the affiftance of that diftant and haughty republic, when they could avail themfelves of the powerful kingdomof Macedon, which wilhcd. MAC [ 365 ] MAC Maeedon. wifhed for nothing more than to enter into equal and * lalUng engagements with their confederacy. As a proof of his moderation and iincerity, he offered to put them in poffeflion of Anthemus, an important town in the neighbourhood, of which the Macedonians lhad long claimed the jurifdiftion, making many pother fair pro- mifes; and among the reft, that he would reduce for them the cities of Pydna and Potidasa, which he chofe rather to fee in dependence on Olynthus than Athens. Thus he prevailed upon the Olynthians not only to abandon Amphipolis, but to affift him with all their power in the execution of his defigns. Philip now loft no time in executing his purpofes on Amphipolis ; and preffed the city fo clofely, that the people were glad to apply to the Athenians for relief. Accordingly they dilpatched two of their moll eminent citizens, Hierax and Stratocles, to reprefent the danger of an alliance betwixt Philip and the Olyn¬ thians, and to profefs their forrow for having fo deep¬ ly offended the parent ftate. This reprefentation had fuch an effeft, that though the Athenians were then deeply engaged in the focial war, they would proba¬ bly have paid fome attention to the Amphipolitans, had not Philip taken care to fend them a letter with frefh affurances of friendfhip, acknowledging their right to Amphipolis, and which he hoped fhortly to put in¬ to their hands in terms of his recent agreement. By thefe fpecious pretences the Athenians were perfuaded to pay as little regard to the deputies of the Amphi- ^ politans as they had already done to thofe of the Olyn- Amphipol’sth'ans ; fo that the city, unable to defend itfelf alone furrendeis. againft fo powerful an enemy, furrendered at laft at difcretion in the year 357 B. C. Philip ftill proceeded in the fame cautious and poli¬ tic manner in which he had begun. Though the ob- ftinate defence of the Amphipolitans might have fur- nifhed a pretence for feverity, he contented himfelf with banifhing a few of the popular leaders from whom he had moft caufe to dread oppofition, treating the reft of the inhabitants with all manner of clemency but took care to add A mphipolis to his own domi¬ nions, from which he was determined that it never ftiould be feparated, notwithftanding the promifes he had made to the Athenians. Finding that it was not his intereft at this time to fall out with the Olynthians,. he cultivated the friendfhip of that republic with great afliduity ; took the ‘cities of Pydna and Potidasa,. which he readily yielded to the Olynthians, though' they had given him but litle affiftance in the reduction of thefe places. Potidsea had been garrifoned by the Athenians ; and them the artful king fent back with¬ out ranfom, lamenting the neceflity of his affairs which obliged him. Contrary to his inclination, to oppofe their republic. Though this was rather too grofs, the A- thenians at prefent were fomuch engaged with-the.fa¬ cial war, that they had not leifure to attend to the affairs - of other nations. Philip made the bell ufe of his time, ^ and next proje&ed the conqueft of the gold mines of Makes him-Thrace- That rich and fertile country was now held filt matter by one Cotys, a prince of fuch weak intelleftual facuh ef the gold ties, that the fuperftition of tire Greeks, into, which Thrace ^ WaS newty initiated,' had almoft entirely fubverted h-is reafon ; and he wandered about in quell of the goddefs Minerva,' with whom he fancied himfelf in love. The invafton ■ of the Macedonians, however. awaked him from his reverie; and Cotys, finding him- Maeedon, felf deftitute of other means of oppofition, attempted to Hop the progrefs of the enemy by a letter. To this Philip paid no regard: the Thracians were inftantly expelled from their poffelfions at Crenidx, where there were very valuable gold mines. Thefe had formerly been worked by colonies from Thafos and Athens ; but the colonifts had long fince been expelled by the barba¬ rous Thracians, who knew not how to make ufe of the treafure they were in poffefiion of. Philip took the trouble to defeend into the mines himfelf, in order to infpedl the works; and having caufed them to be repaired, planted a Macedonian colony at Crenidce, bellowed upon it the -name of Philippi, and drew annually from the gold mines to the value of near x000 talents, or 200,6001. fterling ; an immenfe fum in thofe days. The coins ftruck here were likewife called Philippi. Philip having obtained this valuable acquifition, Settles the next took upon him to fettle the affairs of Theffaly, affairs of where every thing was in confufion. This country Theffaly had been formerly opprefled by Alexander tyrant off^advan-1 Pheras; aftervvhofe death three others appeared, vi%. Ti f- tage. fiphornus, Pitholaus, and Lycophron, the brothers-in- law of Alexander, who had likewife murdered him. By the united efforts of the Theffalians and Macedonians, however, thefe ufurpers were ealily overthrown, and effedtually prevented from making, any difturbances for the future ; and the Theffalians, out of a miftaken gra¬ titude, furrendered to Philip all the revenues arifing from their fairs and towns of commerce, as well as all the conveniencies of their harbours and’fliipping; a conceffion which- Philip took care to fecure in the moft effectual manner. Having now not only eftablilhed his fovereignty in' the moft effe&ual manner, but rendered Himfelf very powerful and formidable to his neighbours, Philip de¬ termined to enjoy fome repofe from his fatigues. Ha- Marrias ving formed an alliance with Arybbas king of Epirus, Oly mpias.- he, in the year 357 B. C. married Olympias the fi¬ tter of that prince ; a match thoughtithe more eligible,, as the kings of Epirus were fuppofed to be defeended from Achilles. The nuptials were folemnized at Pel¬ la with great pomp, and feveral months were fpent in ftiows and diverfions ; during which Philip fhowed fuch an extreme pronenefs to vice of every kind, as difgraced him in the eyes of his neighbours, and moll probably laid the foundation of'his future domeftic un- happinefs. So much was this behaviour of the Mace- a. general1 donian monarch taken notice of by ihe neighbouring combina- ftates, that the Paeonians and Illyrians threw oft' thetion°f yoke,, engaging in their fchemes the king,of Thrace : and nwtwithftanding the infane ftate of that prince, their r rirces’ deiigns were now carried on with more judgment than formed a- was ufual with barbarians.. Philip, however,, not-gainft him. witbftanding his dilfipation, gpt.warning, of his dan¬ ger in fufficient time to prevent the bad confequences which might have enfued had the confederates got time to bring, their matters to a proper-bearing. Early in the fpring. 356 he took the- field with the flower of the Macedonian troops. Having marched in perfon againft tlie Pseonians and Thracians,, he difpatched Parmenio his bell general into Illyria. Both enter-- ^ prifes proved: fuccefsful; and while Philip returned Defeats h'3' victorious from Thrace, he received an account of the enemies. I. victory MAC ?>Tactdon. viftor)* gained by Parmenio ; a fecond mefienger in- “ ^ formed him of a vi&ory gained by his chariot at the Olympic games ; and a third, that Olympias had been Birth of delivered of a fon at Pella. This was the celebrated Alexander Alexander, to whom the diviners prophefied the the Great, folgheft profperity and glory, as being born in fuch au- _ 39 fpicious circumftahces. anointed ^ ^lort t*me after the birth of Alexander, Philip his pretep- wrote a letter to the philofopher Ariftotle, whom lie tor. cbofe for preceptor to his young fon. The letter was written with great brevity, containing only the fol¬ lowing words: “ Know that a fon is born to us. We thank the gods not fo much For their gift, as for bellowing it at a time when Ariftotle lives. We af- 40 fure ourfelves that you will form him a prince worthy Extent of 0f p;s father, and worthy of Maeedon.” He next dooian^er-^t a^out farther enlargement of his territories, ritories. which were already very confiderable. . Pamnia was now one of his provinces ; on the call his dominions extended to the fea of Thafos, and on the weft to the lake Lychnidus. The Theflalians were in effect fubjetl to his jurifdi&ion, and the polfdfion of Am- hipolis had fecured him many commercial advantages; e had a numerous and well-difciplined army, with plentiful refources for fupportmg fuch an armament, and carrying through the other fchemes fuggefted by his ambition ; though his deep and impenetrable poli- 4T cy rendered him more truly formidable than all thefe Proje&s put together. His firft fcheme was the reduction of the con- Olynthus, the moft populous and fertile country on queft of O- the borders of Macedon ; after which his ambition and of all PromPteratoC bad been occafioned by his wound at Methone, .and a though at prefent the Greeks had no pretence forto 1 enu difteinper arifing from the fatigues he had afterwards making war upon the Perfians, but that of revenging undergone. The inconftant Athenians too eafily gave former injuries: and on this fubjeCl he addreffed a credit to this report; and, as if all danger had been difeourfe to' Philip himfelf; and it is even faid, that over with his death, difeontinued their preparations, Ifocrates, by the power of his rhetoric, prevailed upon and direfted their whole attention to the facred war. Philip and the Athenians to lay afide their animofi- —This conteft, inftead of being ended by the death ties for a Ihort time, and confent to undertake this of Onomarchus, now raged with double fury. Phy- expedition in conjunction. alius, abovementioned, the only furviving brother of If this coalition, however, did really take place, it ^ Onomarchus, undertook the caufe of the Phocians; was of very fliort duration. The views of PhocionHe and and his affairs becoming every day more and more de- and Ifocrates were violently oppofed by Demofthenes; Phocion fperate, he undertook the moll unaccountably method Though fenfible of the corruption and degeneracy of^Demot of retrieving them which could be imagined ; having his countrymen, he hoped to be able to roufe them thenes. converted into ready money the moft precious mate- from their lethargy by dint of his eloquence ; a ta- rials belonging to the temple at Delphi, and with this lent he had- been at great pains to cultivate, and in treafure doubled the pay of his foldiers. By this new which. he is faid to liave excelled all men that ever piece of facrikge, he indeed brought many advenm- exiited'. ^ rers to his ftandard, though he cut off all hopes of mer- In his firft’ addreffes to the people, this celebrated ora- SubfLn.-e cy for himfelf or his party ftiould he be defeated, tor exhorted them to awake from their indolence, and of his firft. Having the aftiftance of 1000 Lacedemonians, 2000 to affume the direftion of their own affairs. They‘hfcourfe,. Aehasans, and 5000 Athenian foot, with 400 cavalry, had been too long governed, he faid, by the incapa¬ city MAC [ 368 ] MAC Ma-cedon. clty .cf a few ambitious men, to the great difadvantage as wch as difgrace of the community. In the firil place, an orator who had placed himfelf at the head of a faction of no more than 300 or 400, availed him¬ felf and his followers of the carelefsnefs and negligence -of the people to rule them at pleafure. From a con- fideration of their prefent weaknefs and corruption, as well as of the defigns and commotions of the neigh- •bouring powers, he advifed them to abandon all ro- jnantic and diftant fchemes of ambition ; and inftead 'of carrying their arms into remote countries, to pre¬ pare for repelling the attacks which might be made upon their own dominions. He iniifted alfo upon a better regulation of their finances, a more equal dif- tribution of the public burthens, in proportion to the abilities of thoie upon whom they were laid, and upon the retrenching many fuperfluous expences. Having pointed out in a ftrong light the vigorous conduct of Philip ; and fhown by what means he had attained to fuch a refpeCtable footing in the world, he next laid down a proper plan for their military operations. He told them, that they were not yet prepared to meet Philip in the field ; they muft begin with pro- r testing Olynthus and the Cherfonefus, for which it would be.neceflary to raife a body of 2000 light arm¬ ed troops, with a due proportion of cavalry, which ought to be tranfported under a proper convoy to the iflands of Lemnos, Thafos, and Sciathos, in the neigh¬ bourhood of Macedon. In thefe they would enjoy all kinds of neceflaries in abundance, and might avail themfelves of every favourable incident, to appear at the firft fummons of their allies; and either to repel the incurfions of the Macedonians, or harafs their territo¬ ries. While this was going on, more vigorous prepa¬ rations might be made for war at home ; and it was propofed, that only the fourth part of the Athenian citizens fhould enlift, and no more fupplies were want¬ ed at prefent but 90 talents. But notwithftanding the moderation of thefe propofals, and the urgent necelfi- ties of the flate, it was impoffible to prevail upon the indolent and carelefs Athenians to provide for their own fafety. They appear, indeed, at this time, to have been defperately funk in effeminacy and diffipa- tion; which difpofition Philip took care to encourage to the utmoft of his power. There was an affembly in the city called the Sixty, from their confifting ori¬ ginally of that number, who met exprefsly for the pur- pofes of extinguifhing all care about public affairs, and to intoxicate themfelves with every kind of pleafure they had in their power. With this aflembly Philip was fo well pleafed, that he fent them money to fup- port their extravagancies ; and fo effectually did they anfwer his purpofes, that all the eloquence of Demof- thenes could not counteract the fpeeches of orators much His inferiors when backed by Macedonian gold. Philip himfelf, as we have already hinted, was ex- ceffively debauched in his private character, and the ’ molt fhameful flories are related of him by the ancient writers, particularly by Demofthenes. Theopompus too, an author who flourifhed in the time of Alexan¬ der, and was rewarded and honoured by that monarch, alfo fpeaks of him in fuch terms as we cannot with de¬ cency relate: but thefe accounts, coming from the avowed enemies of the king, are fcarcely to be credit¬ ed ; and perhaps policy, as well as inclujation, might contribute fomewhat to this fcandalous behaviour, that Macedon-. he might thereby recommend himfelf to the libertines of Athens, and prevent even many of the more think¬ ing part of the people from fufpeCting his defigns. But in whatever exceffes he might at times indulge himfelf, he never loft fight of his main objeft, the fub- jugation of the Greek ftates. On pretence of being in want of money to defray the expence of his build¬ ings, he borrowed money at a very high price through¬ out the whole country ; and this he found an eafy mat¬ ter to do, as the diffipation of the Delphic treafures had rendered calh very plentiful in Greece. Thus he attached his creditors firmly to his own intereft; and on pretence of paying debts, was enabled without moleftation tobeftow a number of penfions and gratui¬ ties upon the Athenian orators, who by their treache¬ rous harangues contributed greatly to the ruin of their country ; at leaft as far as it could be ruined by fub- je&ion to a prince who would have obliged them t« remain at peace, and apply themfelves t® ufeful arts. Thefe he himfelf encouraged in a very eminent degree. The greateft part of his time was employed at Pella, which city he adorned in the moft magnificent manner with temples, theatres, and porticoes. He invited, by liberal rewards, the moft ingenious artifts in Greece; and as many of thefe met with very little encourage¬ ment in their own country, great numbers flocked to him from all quarters. In the government of his peo¬ ple, alfo, Philip behaved with the utmoft impartiality; liftening with condefcenfion to the complaints of the meaneft of his fubjects, and keeping up a conftant cor- refpondence with thofe whom he thought worthy of his acquaintance; from which, it is not eafy to ima¬ gine how he could be fo guilty of the vices we have already mentioned from fome ancient hiftorians. The fate of Olynthus was now foon determined. This city, which held the balance of power betwixt Athens and Macedon, was taken and plundered, and the inhabitants fold for Haves ; but the chief hope of Philip was in putting an end to the Phocian war. For this purpofe he affefted a neutrality, that he might _ thereby become the arbiter of Greece. His hopes were well founded; for the Thebans, who were at the head of the league againft the Phocians, foli- cited him on the one fide, and the ftates confede¬ rate with the Phocians did the like on the other. He anfwered neither, yet held both in dependence. In his heart he favoured the Thebans, or rather placed his hopes of favouring his own caufe in that ftate ; for he well knew, that the Athenians, Spar¬ tans, and other ftates allied with Phocis, would ne¬ ver allow him to pafs Thermopylse, and lead an army into their territories. So much refpect, however, did he fliow to the ambaffadors from thefe ftates, parti¬ cularly Ctefiphon and Phrynon, who came from A- thens, -that they believed him to be in their intereft, ^ and reported as much to their mafters. The Athe-Over¬ mans, who were now diffolved in ea£e and luxury, re-reaches the ceived this news with great fatisfa&ion ; and named immediately ten plenipotentiaries to go and treat of a conciU(}es, full and lafting peace with Philip. Among thefe pie-peace, nipotentiaries were Demofthenes and zEfchines, the' moft celebrated orators in Athens. Philip gave di- redlions that thefe ambaffadors fliould be treated with the utmoft civility ; naming, at the fame time, three of hi* MAG [ 369 ] MAC 'Vaci-don. his minlllers to confer with them, viz. Antipater, Par- ^””11 menio, and Euryloohus. Demoflhenes being obliged to return to Athens, recommended it to his colleagues not to carry on their negociations with Philip’^ depu¬ ties; but to proceed with all diligence to court, there to confer with the king himlelf. The ambafla- dors, however, were fo far from following his in- ftrudtions, that they fuffered themfelves to be put off for three months by the arts of Philip and his mi- nifters. In the mean time, the king took from the Athe¬ nians fuch places in Thrace as might belt cover his frontiers ; gh*ing their plenipotentiaries, in their dead, abundance of fair promifes, and the ftrongeft affurafi- ces that his good-will fhould be as beneficial to them as ever tkeir colonies had been. At laft a peage was concluded ; but then the ratification of it was’deferred till Philip had poiTeffed himfelf of Pheraeain Theffal)^ and faw himfelf at the head of a numerous army ; then he ratified the treaty ; and difmilfed the plenipo¬ tentiaries with affurances, that he would be ready at all times to give the Athenians proofs of his friendfhip. On their return to Athens, when this matter came to be debated before the people, Demofihenes plainly told them, that, in his opinion, the promifes of Phi¬ lip ought not to be relied on, becaufe they appeared to be of little fignificance in themfelves, and came from a prince of fo much art, and fo little fidelity, that they could derive no authority from their maker. iEf- chines, on the other hand, gave it as his fentiment, that the king of Macedon’s affurances ought to give them full fatisfa&ion. He faid, that for his part, he was not politician enough to fee any thing of dif- guife or diifimulation in the kind’s conduit; that there vas great danger in diftruiting priuces ; and. that the fureft method of putting men upon deceit was to (bow that we fufpefted them of it. The reft of the plenipotentiaries concurred with iEfchines; and the people, defirous of quiet, and addiited to pleafure, eafily gave credit to all that was faid, and decreed that the peace fhould be kept. All this was the eafier brought about, becaafe Phocion, the. worthieft man in the republic, did not oppofe Philip; which was owing to his having a juft fenfe of the ftatehis country was in. He conceived, that the Athenians of thofe times were nothing like their anceftors; and therefore, as he exprefled himfelf on another occafion, he was defirous, lince they would not be at the head of Greece themfelves, that they would at leaft be up¬ on good terms with that power which would be fo. Pafffs7 Philip, who knew how to ufe as well as to procure Thermo- opportunity, while the Atheniaris were in this .good pylae, and humour, paffed Thermopyla;, without their knowing ends the whether he would fall on Phocis or Thebes ; but he wan'111 quickly undeceived them, by commanding his foldiers to put on crowns of laurel, declaring them thereby the troops of Apollo, and himfelf the lieutenant-gene¬ ral of that god. He then entered Phocis with an air of triumph ; which fo terrified the Phocians, whom he had caufed to be proclaimed facrilegious perfons, that they immediately difmiffed all thoughts ef de¬ fence, and without more ado fubmitted to his mercy. Thus the Phocian war, which had fo long employed all Greece, was ended without a ftroke ; and the judge¬ ment on the Phocians remitted to the Amphidlyons, .Voi.X. Parti. or grand council of Greece. By their decree the Maceden* walls of three Phocian cities’were demolifhed, the peo- pie were forbid to inhabit in any buc villages, to pay a yearly tribute of 60 talents, and never to make ufe cither of houfes or arms till they had repaid to the temple of Apollo the money they had facrilegioufly carried from thence. Their arms were taken from them, broken to pieces, and burnt; their double voice in the council was taken from them, and given to the Macedonians. Other orders were made for fettling the affairs both of religion and ftate throughout Greece - all of which were executed by Philip with great ex- aftnefs ancf moderation, he paying the moft profound refpeft to the council; and, when he had performed its commands, retiring peaceably with his army back to Macedon, which gained him great reputation. At Athens alone, the juftice and piety of Philip was not underftood. The people began to fee, though a little too late, that they had been abufed and deceived by thofe who had negociated the late peace.1 They faw, Is that, through their acceptance of it, the Phocians 0ppof.d by uTere deftroyed; that Philip was become mafter of the Athe- Thermopylae, and might enter Greece when he plea-nian9\ fed ; that, in abandoning their allies, they had aban doned themfelves ; and that, in all probability, they might foon feel the weight of his power, whom they had fo foolilhly trufted : they therefore began to take new and hoftile meafures ; they ordered that the wo- " men fhould retire out of the villages into the city, their walls be repaired, and their forts new ftrengthen- ed. They feemed inclined to queftion Philip’s .elec¬ tion into the council of the Amphi&yons, becaufe it had been done without their confent; and even to pro¬ ceed to an open war. In all likelihood they had car¬ ried things to extravagancy, if Demofthenes had not interpofed. He told them, that though he was not. for making the peae'e, he was however for keeping it; and that he faw no manner of occafion for their enter¬ ing into fo unequal a conteft as would needs enfue, if they took up arms, not only againft Philip, but againft all the ftates concurring with him in the late tranfaftions. This feems to have cooled the rage of the Athenians; and to have brought them to think of ruining Philip by degrees, as by degrees they had t'ai- fed him. The fame of his atchievements without the bounds pur(ueS hj of Macedon having difpofed the fubjefts of Philip toconquefts hope every thing from his conduct, and the feveral ‘n Thrace, ftates of Greece to defire above all things his friend¬ fhip ; that prudent monarch laid hold of this favourable fituation to fix his dominion on fuch a ftable founda¬ tion as that a reverfe of fortune fhould not immediate¬ ly deftroy it. To this end, while he carried on his negociations through Greece, he likewife kept his ar¬ my in exercife, by taking feveral places in Thrace, ^ which terribly incommoded the Athenians. Diopi-Hi# domi- thes, who had the government of the Athenian colo-nion# in- nies in thofe parts, perceiving well what end Philip va.dc(? b7 had in view, did not ftay for inftruftions from home ; Dl0Pltiiesi but having raifed with much expedition a cqnfider- able body of troops, taking advantage of the king’s being abfent with his army, entered the adjacent territories of Philip, and wafted them with fire and fword. The king, who, on account of the operations of the 3 A cam- MAC r 370 I MAC Maced on. eampai'gn in" the Cherfonefe, was not at leifure to re- w-v—. p£j j)i6pjthes by force, nor indeed could divide his ar¬ my without imminent hazard, chofe, like an able ge¬ neral, rather to abandon his provinces to' infults, which might be afterwards revenged, than, by following the dictates of an ill-timed paflion, to hazard the lofs of his veteran army, whereon lay all his hopes. He con¬ tented himfelf, therefore, with complaining to the A- t-henians of Diopithes's conduit, who in a tyne of peace had entered his dominions, and committed fuch devaftations as could fcarce have been juilified in a time of war. His partifans fupported this^pplication with all their elotpience- They told the Athenians, that unlefs they recalled Diopithes, and brought him to a trial for this infringement of the peace, they ought not to hope either for the friendlhip of Philip or of any other prince or date ; neither could they juftly complaii?, if, prompted by fuch a precedent, others 6t fhould break faith with them, and fall without the "Who is (V- lead notice'upon their dominions. Demofthenes de- fcaded by fended Diopithes; and undertook to (how that he de- 8c«m° °* ferved the praife and not the cenfure. of the Athenians. Thofe of the other party began then to charge him with crimes of a different nature ; they alleged, that he oppreffed the fubje&s and maltreated the allies of Athens. Demotthenes replied, that of thefe things there were as yet no proofs ; that when fuch fhould appear, a fingle galley might be fent to bring over Dio¬ pithes to abide their judgment, but that Philip would not come ‘if they fent a fleet; whence he inferred, that they ought to be cautious, and to weigh well the merits of this caufe before they took any refolution. He faid, that it was true Philip had not as yet at¬ tacked Attica, or pretended to make a defcent on their territories in Greece, or to force his way into their ports ; when it came to that, he was of opinion they would be hardly able to defend themfelves; wherefore he thought fuch men were to be efteemed as fought to protect their frontiers, in order to keep Philip as long as might be at a diftance : whereupon he moved, that, inftead of difowning what Diopithes had done, or direfting him to difmifs his army, they fhould fend hiih over recruits, and fhow the king of Macedon they knew how to prote& their territories, and to main¬ tain the dignity of their flate, as well as their anceftprs. Thefe arguments had fuch an effect, that a decree was made conformable to his motion. 'While affairs flood thus, the Illyrians recovering courage, and feeing Philip at fuch a diftance, haraffed the frontiers of Macedbn, and threatened a formidable invafion : but Philip, by quick marches, arrived on the borders of Illyrium; and ftruck this barbarous people with fuch a panic, that they were glad to com¬ pound for their former depredations at the price he was pleafed tofet. Mofl/of the Greek cities in Thrace now fought the fricndfhip of the king, and entered in¬ to a league with him for their mutual defence. As it cannot be fuppofed, that each of thefe free cities had a power equal to that of-Philip, we may therefore look Philip’* upon him as their protect or. About this time Phi- Ichemes de-hp’s negociations in Peloponnefus began to come to £sa*ed. light; the Argives and Meffenians, growing weary of that tyrannical authority which the Spartans exercifed over them, applied’to Thebes for afGftance ; and the Thebans, out of they natural averfion to Sparta, fought to open a paflage for Philip into Peloponnefus, tliat, Macedrs, in conjunbtion with them, he might humble the Lace-y— demonians. Philip readily accepted the offer; and re- folved to procure a decree from the Amphi&yons, di- refting the Lacedemonians to leave Argos and Meffene free; which if they complied not with, he, as the lieu¬ tenant of the Amphittyons, might, with great appear¬ ance of juflice, march with a body of troops to enforce their order. When Sparta had intelligence of this, flie immediately applied to Athens, earneftly intreat¬ ing affiitance, as in the common caufe of Greece. The Argives and Meffenians, on the other hand, laboured aQiduoufly to gain the Athenians to their fide; alleging that, if they were friends to liberty, they ought to af- fift thofe whofe only aim was to be free. Demof- thenes, at this junfture, outwreftled Philip, if we may borrow that king’s expreflion: for, by a vehement ha¬ rangue, he not only determined his own citizens to be¬ come the avowed enemies of the king, but alfo made- the Argives and Meffenians not over fond of him for an ally; which when Philip perceived, he laid afide all thoughts of this enterprife for the prefent, and be¬ gan to prabtife in Eubcea. This country, now called Negropont, is feparated! from Greece by the Euripus, a ftrait fo narrow, that Euboea might eafily be united to the continent. This# fituation made Philip call it the fetters of Greece, which he therefore fought to have in his own hands. There had been for fome years great difturbances in that country ; under colour of which, Philip fent forces- thither, and demolifhed Porthmos, the ftrongeft city in thofe parts, leaving the country under the govern¬ ment of three lords, whom Demofthenes roundly calls tyrants eftablifhed by Philip. Shortly after, the Ma¬ cedonians took Greus, which was left under the go¬ vernment of five magiftrates, ftyled alfo tyrants at A- thens. Thither Plutarch of Eretria, one of the moll eminent perfons in Eubcea, went to reprefent the di- ftreffes of his country, and to implore the Athenians to fet it free. This fuit Demofthenes recommended warmly to the people; who fent thither their famous leader Phocion, fupported by formidable votes, but a very flender army : yet fo well did he manage the af¬ fairs of the commonwealth and her allies, that Philip quickly found he mull for a time abandon that project; which, however, he did not till he had formed another no lefs beneficial to himfelf, or lefs dangerous to A- thens. It was, the profecution of his conqnefts in Thrace, which he thought of pulhing much farther than he had hitherto done, or could be reafonably fu- fpebted to have any- intention of doing. Extraordinary preparations were made by the Ma¬ cedonian monarch for this campaign. His fon Alex¬ ander was left regent of the kingdom; and he himfelf with 30,000 men laid fiege to Perinthus, one of the ftrongeft cities in the country. At prefent, however, all his arts of cajoling and pretending friendlhip were infufficicnt to deceive the Athenians. They gave the command of their army and fleet to Phocion ; a gene¬ ral of great abilities, and with whom Philip woulcl- have found it very hard to contend. On the other hand, the king of Perfia began to turn jealous ofothe growing power of the Macedonian monarch. The Perfian kings had been accuftomed to regard thofe of Macedon as their faithful allies ; but the good fortune MAC [ 37* ] MAC MitcAon of Philip, the continual clamour of the Athenians chofen him their general, with full power to acl as he Macadam J®1 ' againft him, and his dethroning at pleafure the petty thought fit againlt fuch as had oppafed the authority ' >r~~J • princes of Thrace, made him now regarded in another of the AmphiAyons. Thus of a fudden Philip ac-13 c^0fe!l light. When therefore he led his troops againft Pe- quired all that he fought; and having an army ready general by riikhus, t/je Great King, as he was ftyled by the Greeks, in expectation of this event, he immediately marched the Am- fent his letters mandatory to the governors of the ma- to execute the comihands of the AmphiCtyons in ap-P!lil%on** ritime provinces, directing them to fupply the place pearance, but in reality to accomplifti his own de- figns. For having palled into Greece with his army, inftead of attacking the Locrians, he feized immedi¬ ately upon Elatea a great city of Phocis upon the rivei; * Cephifus. . , a c The Athenians in the mean time were in the utmoft h with all things in their power; in confequence of which they filled it with troops, granted fubfidies in ready money, and fent befides great convoys of provifion and ammunition. The Byzantines alfo, fuppofing their own turn would be next, exerted^heir utmoft endea¬ vours for the prefervation of Perinthus ; fending thi¬ ther the flower of their youth, with all other necefiaries for an obftinate defence. The confequence of all this was,, that Philip found himfelf obliged to raife the fiege 63 with great lofs. Kow he at That the reputation of the Macedonian arms might hi» ^t^ not ^7 this difgrace, Philip made war on the Scy- ^ * thians and Triballi, both of whom he defeated ; and then formed a defign of Invading Attica, though he had no fleet to tranfport his troops, and knew very >ppofed , the by the advice of Demofthenes, they invited the The-^ltJl^J^, bans to join them againft the common enemy ofGreece. bans, Philip endeavoured as much as poffible to prevent this confederacy from taking place; but all his efforts pro¬ ved ineffectual. The Athenians raifed an army, which marched immediately to Eleufis, where they were join¬ ed by the Thebans. The confederates made the beft appearance that had ever been feen in Greece, and the troops were exceedingly good ; but unfortunately the well that the Theffalians were not to be depended up- generals were men of no conduct or lie ill in the inili- 45 QD if he attempted to march through the Pilse, and tary art. An engagement enfued at Cheronsea; where-Whom h? that the Thebans would even then be ready to oppofe in Alexander commanded one wing of the Macedonian lefoits at army, and his father Philip the other. The cofifede-Cheronscai? his march. To obviate all thefe difficulties, he had recourfe to Athens itfelf; where, by means of his par- tifans, he procured his old friend Asfchines to be fent their deputy to the Amphi&yons. This feemed a fmall matter, and yet was the hinge on which his whole projeft turned. By that time iEfchines had ta¬ ken his feat, a queftion was ftirred in the council, whe¬ ther the Locrians of Amphifia had not been guilty of facrilege in ploughing the fields of Cyrrha in the neigh¬ bourhood of the temple of Delphi. The affembly be¬ ing divided in their opinions, iEfchines propofed to take a view ; which was accordingly decreed. But when the AmphiCtyons came in order to fee how things flood, the Locrians, either jealous of their property, •r fpurred thereto by the fuggeftions of fome who faw farther than themfelves, fell upon thofe venerable rate army was divided according to the different na¬ tions of which it confifted; the Athenians having the right and the Boeotians the left. In the beginning of the battle the confederates had the better; where¬ upon Stratocles an Athenian commander cried out, “ Come on, brother foidiers, let us drive them back to Macedonwhich being overheard by the king, he faid very coolly to one of his officers, “ Thefe Athenians do not know how to conquer.” Upon this he direct¬ ed the files of the phalanx to be ftraitened; and draw¬ ing his men up very clofe, retired to a neighbouring eminence: from whence, when the Athenians were eager in their purfuit, he rufhed down with impetuo- fity, broke, and routed them with prodigious flaugh- ter. The orator Demofthenes behaved very unbeco- perfons fo rudely, that they were compelled to fecure mingly in this engagement; for he deferted his poll, themfelves by flight. The AmphiCtyons decreed, that an army fhould be raifed, under the command of one of thgir own number, to chaftife the delinquents ; but as this army was to be compofed of troops fent from all parts of Greece, the appearance at the rendezvous was fo inconfiderable, that the Amphi&yons fent to command them durft undertake nothing. The whole matter being reported to the council, iEfchines, in a long and eloquent harangue, (bowed how much the welfare and even the fafety of Greece depended on the deference paid to their decrees; and after inveighing againft the want of public fpirit in fuch as had not fent their quotas at the time appointed by the coun¬ cil, he moved that they (hould deft Philip for their general, and pray him to execute their decree. The and was one of the firft that fled: nay, we are told, that a flake catching hold of his robe, he, not doubt¬ ing but it was an enemy, cried out, “ Alas! fpare my life.” This viftory determined the fate of Greece ; and tsappomteS from this time we muft reckon Philip fupreme lord ofgeneral all the Grecian ftates. The firft ufe he made of his t!i<5 power was to convoke a general affembly, wherein he Per an5’ was recognifed generalilfimo, and with full power ap¬ pointed their leader againft the Perfians. Having, by virtue of his authority, fettled a general peace among them, and appointed the quota that each of the ftates ftiQuld furniih for the war, he difmiffed them; and re¬ turning to Macedon, began to make great prepara* tions for this new expedition. His pretence for ma- deputies from the other ftates, conceiving that by this king war on the Perfians at this time was the affiftance expedient their refpeftive conftituents would be free from any farther trouble or expence, came into it at once; whereupon a decree was immediately drawn up, purporting that ambaffadors fhould be fent to Philip of Macedon, in the name of Apollo and the Amphic- tyons, once more to require his afliftance, and to no¬ tify to him, that the ftates of Greece had unanimoufly given by the Perfians to the city of Perinthus, as al¬ ready mentioned. In the mean time, however, the king, by reafon of the diffenfions which reigned in his family, was made quite miferable. He quarrelled with his wife Olympias to fuch a degree, that he divorced her, and married another woman named Cleopatra. • This produced a quarrel between him and his fon A- 3 A 2 lexander; *9 Bis cha- Extrava¬ gant joy ti the Athenians. MAC [ 372 1 MAC lexander; which alfo came to fiich an height, that A- however, Had very little effe&. The people heard with M-iced lexander retired into Epirus with his mother. Some pleafure all the harfh things which the orators could *“ time afterwards, however, he was recalled, and a re- fay of the young Alexander king of Macedon, whom conciliation took place in appearance; but in the mean theyreprefented as a giddy wrong-headed boy, ready time a confpiracy was formed againft the king’s life, to grafp all things in his imagination, and able to p*r- the circumltances and caufes of which are very much form nothing. The affairs of Macedon indeed were unknown. Certain it is, however, that it took effeft, in a very difFrafted ftate on the acceffion of Alexander: as the king was exhibiting certain (hows in honour of for all the neighbouring •nations had the-fame notion , his daughter’s marriage with the king of Epirus. Phk of the young king with the Athenians ; and being ir- lip, having given a public audience to the ambafiadors ritated by the nfurpations of Philip, immediately re- of Greece, went next day in ftate to the theatre. AH volted ;• and the Stages of-Greece entered-into a con* the feats were early taken up ; and the fhows began ftderacy againft him. The Perfians had been con- with a fplendid procefiion, wherein the images of the triving to transfer the war into Maccddn-; but as foon 12 fuperior deities of Greece were carried, as alfo the as the news-of Philip’s death- reached them, they be- image of Philip, habited in like manner, as if he now liaved as if all danger had been over. At the fame made the 13th, at which the people Ihouted aloud: time Attains, .one of the-Macedonian commanders, a- Then came the king alone, in a white robe, crownedj fpired to the crown, . and fought .to draw-off the foi- with his guards at a confiderabk dillance, that the diers from their allegiance. Greeks might fee he placed his fafety only in his con* In the councils held on this occafion, Alexander’s fidence ofthe loyalty of his fubje&s. Paufanias, the beft friends advifed him rather to make ufe of diflimu- affaffin, however, had fixed himfelf dole by the door ration than force, and to cajole thofe whom they of the theatre ; and obferving that all things fell out thought he could : not' fubdne. Thele advices, how- as he had forefeen they would, took his opportunity ever, were ill-fuitedfto the temper of their monarch, when the king drew near him, and plunging his fwxmd He thought that vigorous meafures only were proper, in his left fide, laid him dead at his feet. He then fled and therefore immetuhtely led his army into Theffaly. as fall as he was able towards the place where his Here he. harangued the princes fo effedually, thht he Alexander** horfes were; and would have efcaped, had not the thoroughly gained them over to his intereft, and wasdeclaied twig of a vine catched his fhoe and thrown him down, by them declared general of Greece ; upon which lie i,enerai This gave time to thofe who purfued him to come up returned to Macedhn, where lie caufed Attains to be CTrectc- with him; butinftead of fecuring him, in order to ex- feized and put to death:- tort a difeovery of his accomplices,, they put an end. In the fprkig of the next year (335 B. C.) Alex- to his life; ander refolved to fubdue the Triballians and Illyrians, With regard to the charaeler of this monarch, it wh'S inhabited the countries now called Bulgaria and appears certain, that he was one of the moft eminent Sclavonia, and had been very formidable enemies to perfons that ever fat on a throne. Had he lived for the Macedonian power. In this expedition he difeo- fome time longer, he would in all probability have vered,-though then but ■ 20 years of age, a furpriling fubdued the Perfians ; which was in truth lefs difficult degree of military knowledge. Having advanced the than what he had already done. ** Had that event the pallbs of Mount Htemus, he found that the barba-Tribalk. taken place (fays Dr Gillies), the undertakings of his rians had polled themfelves in the moll advantageous long and fuecefsful reign would have been ennobled •and manner. On the tops of the cliffs, and at the head of illuminated by the fplendor of extenfive foreign con- every paffage, they had placed their carriages and wag- queft. Philip would have reached the height of fucH gons in fuch a manner as to form a kind of parapet renown as is obtained by the habits of-activity, vigi- with their fhafts inwards, that when the Macedonians . lance, and fortitude, inthe purfuit of unbounded great* fhould have half afeended the rock, they might.be able nefs ; and in the opinion of- poftefky, would perhaps to pufh thefe heavy carriages down upon them. sJ ),ey have furpaffed the glory of all kings and conquerors reckoned the-more upon this contrivance,, beeaufe of who either preceded or followed him. Yet; even on the clofe order of the phalanx, which, they imagined; , this fuppofit-ion, there is not any man of fenfe and would be terribly -expofed by the foldiers wanting: probity, who, if he allows himfelf' time for ferious re- room-to ftir, .and thereby avoid the falling waggons: fteftion, would purchafe the imagined grandeur and But Alexander, having diredled his heavy-armed troops profperity of the king of Macedbn at the price of his to march, gave orders, that, .where the way would per- artifices- and his crimes ; and to a phdofopher, who mit, they fnbuld open to the-right and left, and fiifler confidered either the means by which he had obtained the carriages to go through; but that, in the narrow his triumphs or the probable confequenees of his domi- paffes, they Ihould throw themfelves on their faces with nion over Greece and Afia, the bufy ambition of this their ihields behind them, that the carts might run mighty conqueror would appear but a deceitful feene over them. This had the defired effeft; and the Ma- of -fplendid mifery.” cedonians reached :the enemies works without the lofs No fooner did the news of Philip’s death reach A- of a man. The difputa was then quickly decided ; thens, than, as if aH danger had been paft, the inhabi- the barbarians were driven from their polls with great tants Ihowed the moft extravagant figns of joy. De- {laughter, and- left behind them aTconfiderable booty mofthenes and his party put on chaplets of flowers, and for the conquerors. behaved as if they had gained a great viftory. Pho- The next exploits of Alexander were againft the cion reproved them for this madnefs; bidding them Getse, the Tanlantii, and fome other nations inhabi- remember, that “ the army which had beaten them at ting the country on the- other fide of the Danube-. Cheronsea wes leffcied but by oik.” This reproof, Them he alfo overcame j ftiowing in all-his adions the MAG r 373 1 MAC MSeed6n. the moll perfeft Ikill in military affairs, joined with the ’toAbdera. Croffing the river Ebrus, he proceeded Macedon. w < greateft valour. In the mean time, however, all Greece through the country of P-xti*, and in 20 days reached v— was in commotion by a report which had been conii- Seltos ; thence he cahie to Eleus, where he facrificed dently fpread abroad, that the king was dead in Illy- on the tomb of Protefdaus, becaufe he was the firfl The The- ria. The Thebans, on this news, feized Amyntasand among the Greeks who at the liege of Troy fet foot fcans revolt Timolaus, two eminent officers in the Macedonian gar- on the Afiatic ihore. He did this, that his landing •B the. rifon,which held their citadel, and dragged them to the might be more propitious than that of the hero to death fhl" market-place, where they were put to death without whom he facrificed, who was Haiti foon after. The either form or procefs, or any crime alleged againft greateft part of the army, under the command of Par- them. Alexander, however, did not fuffer them to menio, embarked at Seftos, on board a fleet of 160 remain long in their miftake. He marched with fuch galleys of three benches of oars, befides fmall craft, expedition, that in feven days he reached Pallene in Alexander himfelf failed from Eleus 3.and when he The Italy ; and in fix days more he entered Btrotia, was in the middle of the Hellespont, offered a bull to before the Thebans had any intelligence of his palling Neptune and the Nereids, pouring forth at the fame the ftraits of Thermopylae. Even then they would not time a libation from a golden, cup. When he drew believe that the king was alive ; but infifted that the near the Ihote, he lanched a javelin, which ftuck in Macedonian army was- commanded by Antipater, or the earth.: then, in complete armour, he leaped upon by one Alexander the fon ofiEropus. The reft of the the ftrand ; :and having ereifted altars to Jupiter, Mi- Greeks, however, were not fo hard of belief; and nerva* and,.Hercules, he proceeded to Ilium; Here therefore fent no affiftance to the Thebans, who were again he facrificed< to Minerva; and taking down dome I 74 thus obliged to bear the confequences of their own arms which had liung in the temple of that goddefs Tfeies fblly and obftinacy. The city was taken by ftorm, fince the time, of the Trojan war, confecrated his own deftro 3Ild ar><*the inhabitants were forfome hours maffacred with- in their Head. He facrificed alfo to the ghoft of G>tc' out diftin&ion of age or lex ; after which the houfes Priam, to avert his wrath on account of the defeent were demolifhed, all except that of Pindar the famous which he himfelf claimed from Achilles- poet, which was fpared out of refpeft to the merit of In the mean. time, the Peril a ns had affembkd a great its owner, and becaufe he had celebrated Alexander I, army in.Phrygia ; among,whom was one Memnon a king of Macedon. The lands, excepting thofe defti- Rhodian, the beft officer in the fervice of Darius. A- ned to religious ufes, were fltared among the foldiers, lexander, as-focm as-he had-performed all tnc eeiemo¬ und all the prifoners fold for (laves; by which 440 nies which he judged neceffary, marched direcitly ta¬ lents were brought into the king's treafury. wards the enemy. Memnon -gave it as his opinion, By this feverity the reft of the Grecian Hates were that they- fhould burn and deftroy all-the country fo thoroughly humbled, that they thought no more of round, that they might deprive the Greeks of the making any refiftance, and Alexander had nothing fur- means of fubfiftihg, and then tranfport a part of their ther to hinder him from his favonrite projeft of inva- army into Macedon. But the Perfians, depending on ding Alia. Very littld preparation was neceffary for their cavalry, reje&ed thisfalutary advice; and pulled the Macedonian monarch, who went out as to. an af- themfelves along the river Granicus, in order, to wait fured conqueft, and reckoned upon being fupplied only the arrival of Alexander. lathe engagement which ; by the fpoils of his enemies. Hiftorians are not agreed happened on. the banks of that river,, the Periians were as to the number of his army: Arrian fays, that there defeated and Alexander became-mailer of-alb the t See Gro* * Member of-were 30,000 foot and 5000 horfe. . Diodorus-Siculus . neigbouring country; which he immediately began to'"""- the army tells us, that there were 13,000 Macedonian fbot, 7000 take care of, as if. it had been, pjirt of his hereditary with which. 0f the confederate Hates, and 5000 mercenaries. Thefe dominions. . The city of Sardis was-immediately de-c debt. As for provifions, there that their only refource nbw was in fubverting flic Per- was juft fufficient .‘for. a month, and no ■ more ; and to Can empire. prevent-diftuijsances, Antipater was -left in- Macedon < Almoft all the-cities between Mil'etus and Halicar- l6 with i 2,qco foot and 1 <;oo horfe. naffus fubmitted as foon as they heard that the former Sets out on ■ The army having affembled at A mphipolis, he was taken ; but .Halicarnaffus, where. Memnon ..com- hisoupedi- marched from thence to the mouths of the nver Stry- manded with a very’ numerous garrifon, made an obfti- tlon. mon; then croffing mount Pangseus, hs took tlie road nate defence. Nothing, however, was able, to re60; MAC l 374 I MAC 'Macedon. t}ie Macedonian army. Memnon was at laft obliged ^ to abandon the place ; upon which Alexander took and rafed the city of Tralles in Phrygia; received the fdbmiflion of feveral princes tributary to the Perfians; and having deftroyed the Marmarians, a people of Ly- cia who had fallen upon the rear of his army, put an end to the campaign ; after which he fent home all the new-married men ; in obedience, it would feem, to a precept of the Mofaic law, and which endeared him more to his foldiers than any other adfion of his life. As foon as the feafon would permit, Alexander quitted the province of Phafelus; and having fent part of his army through the mountainous country to Perga, by a fhqrt but difficult road, took his route by a ■certain promontory, where the way is altogether im- paffable, except when the north winds blow. At the time of the king’s march the fouth wind had held for a long time; but of a fudden it changed, and blew from the north fo violently, that, as he and his followers declared, they obtained a fafe and eafy paffage through the Divine affiftance. By many this march is held to be miraculous, and compared to that of the children of Ifrael through the Red Sea; while, on the other hand, it is the opinion of others, that there was nothing at all extraordinary in it. He continued his march •towards Gordium, a city of Phrygia ; the enemy ha¬ ving abandoned the ftrong pafs of Telmiffus, through ■which it was neceffary for him to march. When he arrived at Gordium, and found himfelf under a ne- ceffity of flaying fome time there till the feve'ral corps of his army could be united, he expreffed a ftrong defire of feeing Gordius’s chariot, and the fa¬ mous knot in the harnefs, of which fuch ftrange ftories had been publiihed to the world. The cord in which this knot was tied, was made of the inner rind of 78 the cornel-tree ; and no eye could perceive where it "Unties the had begun or ended. Alexander, when he could find Gordian no poffible way of untying it, and yet was unwilling * to leave it tied left it ffiould caufe fome fears in the breafts of'his foldiers, is faid by fome authors to have cut the cords with his fword, faying, “ It matters not how it is undone.” But Ariftobulus affures us, that the king wrefted a wooden pin out of the beam of the waggon, which, being driven in acrofs the beam, held it up ; and fo took the yoke from under it. Be this as it will, however, Arrian informs us, that a great tempeft of thunder, lightning, and raia, happening the fucceeding night, it was field * declarative of the true folution of this knot, and that Alexander fhould be¬ come lord of Afia. The king having left Gordium, marched towards Cilicia; where he was attended with his ufual good fortune, the Perfians abandoning all the ftrong paffes as he advanced. As foon as he entered the province, he received advice that Arfames, whom Darius had made governor of Tarfus, was about to abandon it, and that the inhabitants were very apprehenfive that he intended to plunder them before he withdrew. To jQ prevent this, the king marched inceflantly, and arrived His lick- juft in time to fave the city. But his faving it had nsfg and re- wep njgh coft fiim his life : for, either through the covery. eXceffive fatigue of marching, as fome fay, or, accord¬ ing to others by his plunging when very hot into the river Cydnus, which, as it runs through thick lhades, has its waters exceffively cold, he fell into fuch a dif- Maeedow; temper as threatened his immediate diffolution. His —v army loft their fpirits immediately; the generals knew not what to do ; and his phyficians were fo much af¬ frighted, that the terror of his death hindered them from uling the neceftary methods for preferving his life. Philip the Acarnanian alone preferved temper enough to examine the nature of the king’s difeafe ; the worft fymptom of which was a continual waking, and which he took off by means of a potion, and in a ftiort time the king recovered his ufual health. Soon after Alexander’s recovery, he received the agreeable news that Ptolemy and Afander had defeated the Perfian generals, and made great conquefts on the Hellefpont; a little after that, he met the Perfian army at Iffus, commanded by Darius himfelf. A bloody engagement enfued, in which the Perfians were de¬ feated with great flaughter, as related under the article Issus. The confequences of this viftory were very advantageous to the Macedonians. Many governors of provinces and petty princes fubmitted themfelves to the conqueror ; and fuch as did fo were treated, not as a newly-conquered people, but as his old hereditary fubje&s; being neither burthened with foldiers nor* oppreffed with tribute. Among the number of thofe places which, within a fhort fpace after the battle of Iffus, fent deputies to fubmit to the conqueror, was the city of Tyre. The king, whofe name was Azel- micus, was abfent in the Perfian fleet; but his fori was among the deputies, and was very favourably received by Alexander. The king probably intended to confer particular honours on the city of Tyre ; for he ac¬ quainted the inhabitants that he would come and fa- crifice to the Tyrian Hercules, the patron of their city, to whom they had erected a moft magnificent temple. But thefe people, like moft other trading nations, were too fufpicious to think of admitting fuch an enterprifing prince with his troops within their walls. They fent therefore their deputies again to him, to inform him, that they were ready to do whatever he ftiould command them 1; Jut, as to his coming and facrificing in their city, they could not confent to that, but were pofitively determined not to admit a Angle Macedonian within their gates. Alexan¬ der immediately difmiffed their deputies in great dif- pleafure. He then affembled a council of war, wherein he infifted ftrongly on the difaffedled ftate of Greece, (for moft of the Grecian ftates had fent ambaffadors to Darius, to enter into a league with him againft the Macedonians), the power of the Perfians by fea, and the folly of carrying on the war in diftant provinces, while Tyre was left unreduced behind them : he alfo remarked, that if once this city was fubdued, the fove- reignty of the fea would be transferred to them, be- caufe it would fix their poffeffion of the coafts ; ar^d as the Perfian fleet was compofed chiefly of tributary fquadrons, thofe tributaries would fight the battles, not of their late but of their prefent mafters. For thefe ^ reafons the fiege of Tyre was refolved on. ^ Tyre takes town was not taken, however, without great diffi- and de- culty ; which provoked Alexander to fuch a degree, ftroyed. that he treated the inhabitants with the greateft cruelty. See Tyre. After’ the' reduftion of Tyre, Alexander, though the feafon was already far advanced, refolved to make an MAC t 375 1 MAC 81 Egypt fub- 24 Alexander vifits the temple of Jupiter AiKr.:;,s. an expedition into Syria ; and in his way thither pro- pofed to chaftife the Jews, who had highly offended him during the fiege of Tyre : for when he fent to them to demand pr@vifions for his foldiers, they an- fwered, That they were the fubjefts of Darius, and bound by oath not to fupply his enemies. The king, however, was pacified by their fubmiffion ; and not only pardoned them, but conferred many privileges upon them, as related under the article Jews. From Jerufalem Alexander marched direftly to Gaza, the only place in that part of the world which' ftill held out for Darius. This was a very large and ftrong city, fituated on an high hill, about five miles from the fca-fhore. One Bath, or Beth, an eunuch, Fad the government of the place ; and had made every preparation necefiary for fuftainihg a long and obftinate fiege. The governor defended the place with great valour, and feveral times reptilfed his ene¬ mies : but at laft it was taken by florm, and all the garrifon (lain to a man ; and this fecured to Alexander an entrance into Egypt, which having before been very impatient of the Perfian yoke, admitted the Mace¬ donians peaceably. Here the king laid the foundations of the city of . Alexandria, which for many years after continued to be the capital of the country. While he remained here, he alfo formed the extraordinary defign of vifit- ing the temple of Jupiter Ammon. As to the mo¬ tives by Which he was induced to take this extraordi¬ nary journey, authors are not agreed ; but certain it is, that he hazarded himfelf and his troops in the higheft degree ; there being two dangers in this march, which, with the example of Cambyfes, who loll the great-eft part of his army in it, might have terrified any body but Alexander. The firft was the want of water, which, irf the fandy defarts furrounding the tempte, is no where to be found ; the other, the un¬ certainty of the road from the fluctuation of the fandt; whfth changing their fituation every moment, leave the traveller neither a road to walk in nor mark to march lents. Having received alfo at this time a Fupply Macedoo of 6ooo foot and 500 horfc from Macedon, he fet e ' about reducing the nations of Media, among whom Darius was retired. He firft reduced the Uxians: and having forced a pafiage to Perfepolis the capital of the empire, he like a barbarian deftroyed the {lately palace there, a pile of building not to be equalled in any part of the world ; after having given up the city to be plundered .by his foldiers. In the palace he found 120,000 talents, which he appro¬ priated to his own ufe, and caufed immediately to be carried away -upon mules and camels; for he had fuch an extreme averfion to the inhabitants of Per¬ fepolis, that lie determined to leave nothing valuable in the city. During the time that Alexander remained at Per¬ fepolis, he received intelligence that Darius remained at Ecbatana the capital of Media ; upon which he 84 purfued him with the greateil expedition, marching He prfuet at the rate of near 40 miles* a-day. In 15 days he DariU8* reached Ecbatana, where he was informed that Da¬ rius had retired from thence five days before, with an intent to pafs into the remoteft provinces of his em¬ pire. This put fome ftop to the rapid progrefs of the Macedonian army; and the king perceiving that there was no neceffity for hurrying himfelf and his foldiers in fuch a manner, began to give the orders requilite in the prefent fituation of his affairs. The Theflalian horfe, who had dc-ferved exceedingly well of him’ in all his battles, he difmiflcd according to his agreement; gave them their whole pay, and ordered 2000 talents over and above to be diUributed among them. He then declared that he would force no man : but if any were willing to ferve him longer for pay, he defired they would enter their names in a book, which a great many of them did; the reft fold their horfes, and prepared for their departure. The king appointed Epocillus to conduct them to the fea, and afiigned him a body of horfe as an efeert: he likewife fent Menetes with them, to take care of by. Thefe difficulties, however, Alexander got over ; though not without a miraculous interpofition, as is pretended by all his hiftorians. Alexander having confulted the oracle, and received' a favourable anfwer, returned to purfue his conqurits. Having fettled the government of Egypt, he appointed the general rendezvous of his forces at Tyre. Here he.met with ambaffadors from Athens, requefting him to pardon fuch of their countrymen as he found forving. the enemy. The king, being defirous to oblige fuch a famous ftate, granted their requeft; and lent alfo a fleet to the coaft of Greece, to prevent the effedls of fome commotions which had lately happened in Pelo- ponnefus. He then dire&ed his march toThapfacus; , and having paffed the Euphrates and i igris, met with Darius near Arbela, where the Perfians were again t See Ar~ overthrown with prodigious flaughterf, and Alexander iela. in effeft became mailer of the Perfian empire. Reduces After this important victory, Alexander marched Babylon, dire£11 y to 'Babylon, which was immediately delivered Sufa, and up ; the inhabitants being greatly difaffe&ed to the Perfepolis. Perfian intereft. After 30 days {lay in this country, the king marched to Sufa, which had already furren- dered to Philoxenus > and here he received the trea- fures of the Perfian monarch, amounting, according to the moll generally received account, to 50,000 ta- their embarkation, and that they were fafely landed in Euboea without any expence to themfelves. On receiving frefli information concerning the Hate of Darius’s affairs, the icing fet out again in purfuit of him, advancing as far as Rhages, a city one day’s journey from the Cafpian ftraits : there he underilood that Darius had paffed thofe ftraits fome time before which information leaving him again without hopes, he halted for five days. Oxidates, a Perfian whom Darius had left prifoner*at Sofa, was made governor of Media, while the king departed on an expedition into Parthia. The Cafpian {traits lie paffed immedi¬ ately without oppofition ; and then gave directions to his officers to colledl a quantity of provifions fuffi- cient to ferve his army on a long march through a „ wafted country. But before his officers could ac- ^0 ;» c«jmpli{h thofe commands,. the king received intelli- murderedi- gence that Darius had been murdered by Beffus, one ^ of his own fubje£ts, and governor of Baclria, as is re¬ lated at length under the article Persia. 2C As foon as Alexander had collected his forces to- Alexander gether, and fettled the government of Parthia, he*ei,uces. , entered Hyrcania ; and having, according to his ufualHyrcan^ ' cuftom, committed the greatdl part of his army to the care of Craterus, he, at the ’head of a choice body of troops, paffed through certain craggy roads, a 4 and.: MAC t 376 1 MAC Mscedcn. ani before die arrival of Craterus, wbo took an open ever, he preferved the Macedonian difcipline ; tut Mattdun. and eafy path, ftruck the whole provinces with fuch then he made choice of 30,000 boys out of the pro- v—■*< terror, that all the principal places were immediately vinces, whom he caufed to be inftrufted in the Greek put into his hands, and foon after the province of Aria language, and dire&ed to be brought up in fuch a dlfo fubmitted, and the king continued Satibarzancs manner as that from time to time*he might with them the governor in his employment.—The reduction of fill up the phalanx. The Macedonians faw with tin's province fintlhed the conqueft of Perfia ; but the great concern thefe extraordinary meafures, which ambition of Alexander to become mailer of every fuited very ill with their grofs underllandings; for nation of which he hud the leaft intelligence, induced they thought, after all the viflories they had gained, him to enter the country of the Mardi> merely be- to be abfolute lords of Afia, and to poflefs not only caufe its rocks and barrennefs had hitherto hindered the riches of its inhabitants, but to rule the inhabi- any body from conquering, or indeed from attempt- tants themfelves: whereas they now faw, that flex¬ ing to conquer it. This conquell, however, he eafily ander meant no fuch thing; but that, on the con- accomplilhed, and obliged the whole nation to fub- trary, he conferred governments, offices at court, mitto his pleafure. Butin the mean time diilurbanees and all other marks of confidence and favour, indii- began to arife in Alexander's new empire, and among criminately both on Greeks and jPerfians.- From this Jiis troops, which all his aflivity could not thorough* time alfo the king feems to have given inltances of a * ly fupprefs. He had fcarcely left the.province of Aria, cruelty he had never ffiown before. Philotas his moll, when he received intelligence, that the traitor Beffus intimate friend was feized, tortured, and put to death bad caufed himfelf to be proclaimed-king of Afia-by for a confpiracy of which it could never be proved the name of Aftaxerxes; and that Satibarzanes had that he was guilty ; and foon after Parmenio and joined him, after having maffacred allthe Macedonians Tome others were executed without any crime at all who had been left in the province. Alexander ap- real or alleged. Thefe things very much difturbed pointed one Arfames governor in the room of Sati- the army. Some of them wrote home to Macedonia barzanes; and marched thence with-his army againll of the king’s fufpicions of his friends, and his difpo- the Zaranga, who under the command of Barzaentes, cne of thofe who had confpired againll Darius, had taken up arms, and threatened to make an obftinate defence. But their numbers daily falling off, Bar- aaentes being afraid they would purchafe their own fafety at the expence of his,'.privately withdrew from fition to hunt out enemies at the very extremities qf the world. Alexander having intercepted fome of thefe letters, and procured the bell information he could concerning their authors, picked out thefe dif- fatisfied people, and having difpofed them into one corps, gave it the title of the turbulent battalion; his camp, and, eroding the river Indus, fought ffielter hoping by this means to prevent the fpirit of difaffeo among .the .nations beyond it. .But they, either dread- tion from pervading the whole army. As a farther precaution againll any future confpira¬ cy, Alexander thought fit to appoint Hephaellion and Clytus generals of the auxiliary horfe ; being appre- henfive, that if this authority was lodged in the hands of a fingle perfon, it might prompt him to dangerous undertakings, and at the fame time furnilh him with : ing the power of Alexander, oTdetelling the treachery of this Perfian, towards-his former mailer, feized and delivered him up to Alexander, who caufed him im- mediately .to be put. to death. The Mace- The immenfe treafure which the Macedonians had ^v^the acquired in the eonquell of .Perlia began now to cor- ..mvingo, auu «l -mt iaiuc umc iuinnn mm witn JfclvMup to rilPt tr^iem' The king himfelf was of a moll generous the means of carrying them into execution. To keep $a\ury. difpofition, and liberally bellowed his gifts on thofe his forces in aclion, he fuddenly marched into the around him ; but they made a bad ufe of his bounty, country -of the Euergette, i. e. BenefaBors ; and found and foolilhly indulged in thofe vices by which the former them full of that kind and hofpitable difpofition for poffeffors of that wealth had loll it- The king did which that name had been bellowed on their ancejlors : all in his power to difeourage the lazy and ina&ive he therefore treated them vvitli great refpedl ; and at his pride which now began to ihow kfelf ..among his of- departure added fome lands to fheir dominions, which ficers ; but neither his difeourfes nor his example had lay contiguous, and which for that reafon they had re- any confiderable effedl. The manners of his courtiers quelled of him. from bad became w’orfe, in fpite of -all he -could fay Turning then to the eall, he entered Arachofia, the or do to prevent it; and at laft they proceeded to inhabitants of which fubmitted without giving him any , cenfure his conduft, and to exprefs themfelves with trouble. While he paffed the winter in thefe parts, fome bitternefs on the fubjeft of his long continuance the king received advice, that the Arians, whom he of the war, and his leading them conftantly from one had fo lately fubdued, were again up in arms, Sati- labour to another. This came to fuch an height, that barzanes being returned into that country with tw-o the king was at laft-obliged to ufe fome feverity in order thoufand horfe affigned him by Belfus. Alexander in- 8S to keep -his army within the limits of their duty, llantly difpatched Artabazus the Perfian, with Erigyss Alexander From this time forw'ard, however, Alexander himft If and Caranus, two of his commanders, with a conli- the Peifiar)0 ^C^a,n t0 ^t6r his^conduft ; and by giving a little in- fiderable body of horfe and foot; he likewife o-dered to the -cuftoms of the Orientals, endeavoured to fe- cure that obedience from his new fubjetSls which he found fo difficult to be preferved among his old ones. He likewife endeavoured, by various methods, to blend the culloms of the Afiatics and the Greeks. The Phrataphernes, to whom he had given the govern- ment of Parthia, to accompany them. A gene-Satibarzs- ral engagement enfued, wherein the .Arians behavednesdefeated very well, as long as their commander Satibarzanesand lived ; but he engaging Erigyus, the Macedonian ftruck form of his civil government refembled that of the him firil into the throat, and then, drawing forth ancient Perfian kings: in the military affairs.,,how- his fpear again, through the mouth; fo that he un- 190. 2 mediately M A C l .177 T MAC fMoeedcm. mediately expired, and with him the courage of his the chief commanders under Beffus, fignifying, that. Maced*#, foldiers, who inftantly began to fly ; whereupon Alex- if he would fend a fmall party to receive Beffus, ander’s commanders made an eafy conqueft of the rell of the country, and fettled it effectually under his obe¬ dience. The king, uotwithftanding the inclemency of the feafon, advanced into the country of Paropamifus, fo called from the mountain Paropamifus, which the fol- diers of Alexander called Caucafus. Having croff- ed the country in 16 days, he came at length to an opening leading into Media ; which finding of a fuffi- cient breadth, he dire&ed a city to be built there, which he called Alexandria, as alfo feveral other towns about a day’s journey diftant from thence : and in thefe places he left 7000 perfons, part of them fuch as had hitherto followed his camp, and part of the mer¬ cenary foldiers, who, weary of continual fatigue, were content to dwell there. Having thus fettled things in this province, facrificed folemnly to the gods, and ap¬ pointed Proexes the Perlian prefident thereof, with a fmall body of troops under the command of Niloxenus to affift him, he refumed his former deiign of penetra¬ ting into Baftria. 90 Beffus, who had affumed the title of Artaxerxes, fed and vv^ien was affured that Alexander was marching t t0 towards him, immediately began to wafte all the ath. country between Paropamifus and the river Oxus ; which river he paffed with his forces, and then burnt • all the veffels he had made ufe of for tranfporting them, retiring to Nautaca, a city of Sogdia ; fully perfuaded, thatj by the precautions he had taken, Alexander would be compelled to give over his purfuit. This conduA of his, however, difheartened his troops, and gave the lie to all his pretenfions ; for he had affefted to cenfure Darius’s conduit, and had charged him with cowardice, in not defending the rivers Euphrates and they W'ould deliver him into his hands ; which they did accordingly, and the traitor was put to death in the manner related in the hiftory of Persia. A fupply of horfes being now arrived, the Mace¬ donian cavalry were remounted. Alexander contioued his march to Maracanda the capital of Sogdia, from whence he advanced to the river laxartes. Here he performed great exploits againft the Scythians; from whom, however, tho’. h^overcame them, his army fuf- fered much ; and the revolted Sogdians being headed by Spitamenes, gave him a great deal of trouble. Here he married, Roxana the daughter of Oxyartes, a 91 prince of the country whom he had fubdued. But du- Alexander ring thefe expeditions, the king greatly difgufted his ’ army by the murder of his friend Clytus in a drunken quarrel at a banquet, and by his extravagant vanity in claiming divine honours. At laft he arrived at the river Indus, where Hephas- paff,?s\he ftion and Perdiccas had already provided a bridge of indus • • boats for the paffage of the army. The king refrelhed his troops fo£ 30 days in the countries on the other fide of the river, which were thofe of his friend and ally Taxiles, who gave him 30 elephants, and joined his army now with 700 Indian horfe, to which, when they were to enter upon a&ioh, he afterwards added 5000 foot. The true reafon of this feems to have been his enmity to Pprus, a famous Indian prince, whofe territories lay on the other fide of the river Hydafpes. During this recefs, the king facrificed with great folemnity; recei¬ ving alfo- ambalfadors from Ambifnrus, a very potent prince* and from.Doxareas, who was likewife a king in tho'fe parts, with tenders of their duty, and confiderable prefents. Thefe ceremonies over, Alexander appointed Philip governor of Taxila, and put a Macedonian gar- Tigris, whereas he now quitted the banks of the moll rifon into the place, becaufe he intended to erett an hof- defenfible river perhaps in the whole world. As to his hopes, tho’ it cannot be laid they were ill founded, yet they proved abfolutely vain ; for Alexander, continuing his march, notwithllanding all the hardlhips his foldiers fuftained, reduced all Baflria under his obedience, particularly the capital Bactria and the flrong callle Aornus : in the latter he placed a garrifon under the command of Archelaus ; but the government of the province he committed to Artabazus. He then con- pital there for the cure of his lick and wounded foldiei He then ordered the veffels, of which his bridge bad been compofed when he palled the Indus* to be taken to pieces, that they might be brought to the Hydafpes, where he was informed that Porus with a great at my lay encamped to hinder his pafiage. When he ap¬ proached the banks of this river with his army and the auxiliaries under the command of Taxiles, he found that the people he had to do with were not fo eafily tinned his march to the river Oxus : on the banks of to be fubdued ha the Perlians and other Afiatics. The which when he arrived, he found it three quarters of Indians were not only a very tall and robuft, but alfp a mile over, its depth more than proportionable to its breadth, its bottom fandy, its ftream fo rapid as to ren¬ der it almoft (innavigable, and neither boat nor tree in its neighbourhood ; fo that the ablell commanders in the Macedonian army were of opinion that they Ihould be obliged to march back. The king, how¬ ever, having lirlt fent away, under a proper efcort, all his infirm and worn-out foldiers, that they might be conducted fafe to the fea-ports, and from thence to Greece, devifed a method of palling this river without either boat or bridge, by caufing the hides which co- a very hardy and well-difciplined people ; and their king Porus was a prince of high Ipirit, invincible cou¬ rage, and great conduct. . It was about the fummer folilice when Alexander reached the Hydafpes, and conlequently its waters were broader, deeper, and more rapid, than at any other time ; for in India the rivers iwell as the Tim’s increafing heat melts the fnow, and fublide again as winter approaches. Alexander therefore had every dif¬ ficulty to ilruggle with. Porus had made his dilpofi- tions fo judicioully, that Alexander found it impoffible vered the foldiers tents and carriages to be Huffed with to pra£tife upon him as he had done upon others, and llraw, and then tied together, and thrown into the ri- to pafs the river in his view : wherefore he was con- ver. Having crofftd the Oxus, he marched direclly llrained to divide his army into fmall parties, and to towards the camp of Beffus, where when he arrived, praCtife other arts, in order to get the better of fo vi¬ be found it abandoned ; but received at the fame time gilant a prince. To this end he caufed a great quan- letters from Spitamenes and Dataphernes, who were tity of corn and other provifions to be brought into Vet. X. Part I. _ 3 B his MAC I 378 ] MAC Macfdon. his camp ; giving out, that he intended to remain where now, that they had not reached the continent at all, but Mseedon, he was till the river fell, and by becoming fordable fhould give him an opportunity of forcing a pafiage: this did not, however, hinder Porus from keeping up very ftridl difeipline in his camp ; which when Alex¬ ander perceived, he frequently made fuch motions as feerried to indicate a change of his refolution, and that he had ftill thoughts of palling the river. The main thing the Macedonians flood in fear of were the ele¬ phants ; for the bank being pretty fteep on the other fide, and it being the nature of horfes to Hart at the firll appearance of thofe animals, it was forefeen that the army would be difordered, and incapable of fuilain- ing the charge of Porus’s troops, pi At length Alexander paffed the river by the fol- H^daf'es lowing contrivance. There was, at the dillance of 150 w’lh diffi- ftadia from his camp, a rocky promontory proje and that the cavalry of Porus. were eafy to be charged, he refolved to let the foot have as little fhare as poffible in the battle. To this end, having, given the neceffa- ry.direftions to Ccenus who commanded them, he went himfelf to the right, and with great fury fell upon the left wing of Porus.. The difpute, tho’ ftiort, was very bloody : the cavalry of Porus, tho’ they fought, gallantly, were, quickly broken ; and the foot being by this means uncovered, the Macedonians charged them.. But the Indian horfe rallying^ came up to their relief, yet were again defeated. By this time, the archers had ■wounded MAC [ 379 3 MAC Mtcedonr wounded many of the elephants, and killed moll of v their riders, fo that they did not prove lefs troublefome and dangerous to their own fide than to the Macedo¬ nians 5 whence a great confufion enfued; and Ccenus, taking this opportunity, fell in with the troops under his command, and entirely defeated the Indian army. Poms himfelf behaved with the greateft intrepidity, and with the moft excellent cpndudl: he gave his or¬ ders, and direfted every thing, as long as his troops retained their form ; and, when they were broken, he retired from party to party as they made Hands, and continued fighting till every corps of Indians was put to the rout. In the mean time Craterus had palled with the reft of the Macedonian army ; and thefe, fal- ling upon the flying Indians, increafed the flaughter of the day exceffively, infomuch that 20,000 foot and 3000 horie were killed, all the chariots were hacked to pieces, and the elephants not killed were taken : two of Porus’s fans fell here, as alfo moft of his officers of all ranks. As for Porus, Alexander gave ftri& direftions that ho injury might be done to his perfon: he even fent Taxiles to perfuade him to furrender himfclf, and to allure him that he Ihould be treated with all the kind- nefs and refpeCt imaginable; but Porus, difdaining this advice from the mouth of an old enemy, threw a jave¬ lin at him, and had killed him but for the quick turn of his horfe. Meroe the Indian, who was alfo in the fervice of Alexander, fucceeded better: he had been the old acquaintance of Porus; and therefore when he intreated that prince to fpare his perlbn, and to fubmit He fubmits t0 fortune and a generous victor, Porus fol- to Alexan- l°wed bis advice; and we may truly fay, that the con- der, dition of this Indian king fuffered nothing by the lofs of the battle. Alexander immediately gave him his li¬ berty, reftored him Ihortly after to his kingdom, to which he annexed provinces almoft equal to it in va¬ lue, Neither was Alexander a lofer by his munifi¬ cence ; for Pbrus remained his true friend and con- ftant ally. To perpetuate the memory of this vi&ory, Alex¬ ander ordered two cities to be ere&ed; one on the field of battle, which he named Nkaa ; the other on this fide the river, which he called Bucepbala, in honour of his horfe Bucephalus, who died here, as Arrian fays, of mere old age, being on the verge of go. All the foldiers, who fell in battle, he buried with great honours 5 offered folemn facriiices to the gods, and exhibited pompous Ihows on the banks of the Hydafpes, where he had forced his paffage. He then entered the territories of the Glaufe, in which were 37 good cities, and a multitude of populous villages. All thefe were delivered up to him without fighting; and as foon as he received them, he pre- fented them to Porus; and having reconciled him to Taxiles, he fent the latter home to his own dominions. About this time ambaffadors arrived from fome Indian princes with their fubmifiions ; and Alexander having conquered the dominions of another Porus, which lay on the Hydraotes a branch of the Indus, added them to thofe of Porus his ally. In the middle of all this fuccefs, however, news arrived, that the Cathei, the Oxydracas, and the Malli, the njoft warlike nations of India, were confederated againft the Macedonians, and had drawn together a great army. The king immediately marched to give Mieedo*, them battle; and in a few days reached a city called —v— Sangala, feated on the top of an hill, and having a fine lake behind it. Before this city the confederate Sangaia t*. Indians lay encamped, having three circular lines of ken, carriages locked together, and their tents pitched in the centre. Notwithftanding the apparent difficulty of forcing thefe intrenchments, Alexander refolved im¬ mediately to attack them, The Indians made a noble defence; but at laft the firft line of their carriages was broken, and the Macedonians entered. The fecond was ftronger by far; yet Alexander attacked that too, and after a defperate refiftance forced it. The Indians, without trufting to the third, retired into the city ; which Alexander would have invefted : but the foot he had with him not being fufficient for that purpofe, he caufed his works to be carried on both fides as far as the lake; and, on the other fide of that, ordered feveral brigades of horfe to. take poll; order¬ ing alfo battering engines to be brought up, and in fome places employing miners. The fecond night, he received intelligence that the befieged, knowing the lake to be fordable, intended to make their efcapc through it. Upon this the king ordered all the car¬ riages which had been taken in forcing'their camp to be placed up and down the roads, in hopes of hinder¬ ing their flight; giving directions to Ptolemy, who commanded the horfe on the other fide of the lake, to be extremely vigilant, and to caufe all his trumpets to found, that the forces might repair to that poft where the Indians made their greateft effort. Thefe pre¬ cautions had all the effedt that could be deiired : fot of the few Indians who got through the lake, and paffed the Macedonian horfe, the greater part were killed on the roads; but"the greateft part of their army was conftrained to retire again through the water into the city. Two days after, the place was taken by ftorm. Seventeen thoufand Indians were killed; 70,000 taken prifoners; with 300 chariots, and 500 horfe. The Macedonians are faid to have loft only 100 men in this fiege ; but they had 1200 wounded, and among thefe feveral perfons of great diftindtion. The city was no fooner taken, than Alexander dif- patched Eumenes his iecretary, with a party of horfe; to acquaint the inhabitants of the cities adjacent with what had befallen the Sangalans; promifing alfo, that they fhould he kindly treated if they would fubmit. But they were fo much affrighted at what had hap¬ pened to their neighbours, that, abandoning all their cities, they fled into the mountains ; choofing rather to expofe themfelves to wild beafts, than to thefe in¬ vaders, who had treated their countrymen fo cruelly. When the king was informed of this, he fent detach¬ ments of horfe and foot to fcour the roads; and thefe, finding aged, infirm, and wounded people, to the number of about 500, put them to the fword without ^ mercy. Perceiving that it was impoffible to perfuade the inhabitants to return, he caufcd the city of San¬ gala to be rafed, and gave the territories to the few Indians who had fubmitted to him. Alexander, ftill unfated with conqueft, now pre¬ pared to pafs the Hyphafis. The chief reafon which induced him to think of this expedition was, the in¬ formation he had received of the ftate of the countries 3 B 2 beyond A1 " der’s tnoop refufe to proceed further. MAC [ 3S0 ] M A C beyond that river. He was told that they were in thedrfelves rich and fruitful; that their inhabitants were not only a very martial people, but very civilized; that they were governed by the nobility, who were themfelves- fubje£t to the laws ; and that as they lived in happinefs and freedom, it was likely they would fight obftinately in defence of thofe bleffi-ngs. He was farther told, that among thefe nations there were the largeft, ftrongeft, and moft ufeful elephants bred and tamed ; and was therefore fired with an earneft delire to reduce fuch a bold and brave people under his rule, and of attaining to the poffeffion of the many valuable things that were faid to be amongft them. As exorbitant, however, as bis perfonal ambition was, he found it impoflible to infufe any part of it into the minds of his foldiers ; who were fo far from wifiling to triumph overmew and remote countries, that they were highly defirous of leaving thofe that they had already conquered. When therefore they were in¬ formed of the king’s intentions, they privately con- fulted together in the camp about the fituation of their own affairs. At this confultation, the gravefl and beft of the foldiers lamented that they were made uie of by their king, not as lions, who fall fiercely upon thofe who have injured them; but as maftiffs, who fly upon and tear tbofe who are pointed out to them as enemies. The reft, were not fo modeft; but expreffed themfelves roundly againft the king’s humour for leading them from battle to battle, from liege to liege, and from river to river; protefting that they would follow him no further, nor laviih away their lives any longer, to purchafe fame for him. Alexander was a man of too much penetration not .to be early in perceiving that his troops were very uneafy. He therefore harangued them from his tri¬ bunal ; but though his eloquence was great, and the love his army had for him was yet very ftrong, they did not relent. For fome time the foldiers remained ful!en and filent; and at laft turned their eyes on Cce- nus, an old and experienced general, whom Alexander loved, and in whom the army put great confidence.— He had the generofity to undertake their caufe ; and told Alexander frankly, “ that men endured toil in hopes of repofe; that the Macedonians were already much reduced in their numbers; that of thofe who remained, the greater part were invalids; and that they expected, in confideration of their former fer- vices, that he would now lead them back to their na¬ tive country : an aft which, of all others, would moft contribute to his own great defigns; fince it would encourage the youth of Macedon, and even of all Greece, to follow him in whatever new expedition he pleafed to undertake.” The king was far from being pleafed with this fpeech of Ccenus, and much lefs with the difpofition of his army, which continued in a deep filence. He therefore difmiffed the affembly : but next day he called another, wherein he told the fol¬ diers plainly, that he would not be driven from his purpofe ; that he would proceed in his conquefts with fuch as (hould follow him voluntarily: as for the reft, he would not detain them, but would leave them at liberty to go home to Macedon, where they might publiih, “ that they had left their king in the midft cf his enemies.” Even this expedient had no fuccefs; Lis army was fo thoroughly tired with long inarches and defperate battles, that they were determined to go no- Maeedon. further, either for fair fpeeches or foul. Upon this v ,,**J Alexander retired to his tent, where he refufed to fee his friends, and put on the fame gloomy temper that reigned among his troops. For three days things remained in this fituation. At laft the king fuddenly appeared; and, as if he had been fully determined to purfue his firft defign, he gave orders for facrificing for the good fuccefs of his new undertaking. Ari- ftander the augur reported, that the omens, were al¬ together inaufpicious; upon which the king faid, that fince his proceeding farther was neither pleafing to the gods nor grateful to his army, he would return. When this was rumoured among the army, they af- I0° * fembled in great numbers about the royal tent, fain- fentsct°"' . ting the king with loud acclamations, wiftiing him.tUrn. fuccefs in all his future defigns,; giving him at the fame time hearty thanks, for that “ he who was in¬ vincible had fuffered himfelf to be overcome by their prayers.” A flop being thus put to the conquefts of Alexan¬ der, he determined to make the Hyphafis the boun¬ dary of his dominions; and having erected twelve’ altars of an extraordinary magnitude, he facrificed: on them: after which he exhibited fhows in. the - Grecian manner; and, having added all the conquered country in thefe parts to the dominions of Porus, he Ior began to return. Having arrived at the Hydafpes, Sails down he made the neceffary preparations for failing down the Indus, the Indus into the ocean. For this purpofe, he or¬ dered vaft quantities of timber to be felled in the neighbourhood of the Hydafpes, through which he was to fail into the Indus; he caufed the veffels with which he had paffed other rivers to be brought thi¬ ther, and affembled a vaft number of artificers capable of repairing and equipping his fleet; which, when finifhed, confifted of 80 veflels of three banks of oars, and 2000 leffer fhips and tranfports. Thofe who were to manage this fleet were collected out from the Phoe¬ nicians, Cyprians, Carians, and Egyptians following his army, and who were reckoned perfectly well (killed in the naval art. When all things were ready, the army embarked about break of day ; the king," in the mean time, facrificing to the gods according to the ceremonies ufed in his own country, and likewife ac¬ cording to thofe of the country where he now was. Then he himfelf went on board;, and caufing the fignal to he given by found of trumpet, the fleet fet fail. Craterus and Hephseftion had marched fome days be¬ fore with another diviflon of the army ; and in three days the fleet reached that part of the river which was oppofite to their camps. Here he had information^ that the Oxydracae and Malli were railing forces to oppofe him : upon which he immediately determined to reduce them; for, during this voyage, he made it a rule to compel the inhabitants on both fides of the river to yield him obedience. But before he arrived on the coafts of the people above mentioned, he him¬ felf fuftained no fmall danger; for, coming to the confluence of the Acefines with the Hydafpes, from whence both rivers roll together into the Indus, the eddies, whirlpools, and rapid currents, rulhing with tremendous, nolle from the refpe&ive channels of thofe rivers into the great one formed by them both, at once terrified thofe who navigated his veffels, and ac¬ tually MAC [ 381 ] MAC Maced'-n tttally deflroyed many of the long veffels, with all who were aboard of them ; the king himfelf being in fome danger, and Nearchus the admiral not a 1’ttle at alofs. As foon as this danger was over, Alexander went on fhore ; and having ordered his elephants with fome troops pf horfe and archers to be carried acrofs, and put under the command of Craterus, he then divided his army on the left-hand bank into three bodies; the fh-ft commanded by himfelf, the fecond by Hyphas- ftion,- and the third by Ptolemy. Hyphseftion had orders to move filently through the heart of the coun¬ try, live days march before the king; that if, on' Alexander's approach, any of the barbarians Ihould attempt to Ihelter themfelves by retiring into the country, they might fall into the hands of Hephte- ftioh. ' Ptolemy Lagus was ordered to march three days journey behind the king, that if any efcaped his army, they might fall into Ptolemy’s hands ; and the fleet had orders to flop at the confluence of this river with the Hydraotes till fuch time as thefe feveral corps fhould arrive. ioi Alexander himfelf, at the head of a body of horfe His cxpedi- an(i light armed foot, marched through a defart th^Malh ^ countl7 againlt the Malli ; and, fcarce affording any relt to his fqldiers, arrived in three days at a city into which the barbarians had put their wives and children, with a good garrifon for their defence. The country people, having no notion that Alexander would march through fuch a defert and barren region, were all un¬ armed, and in the utmoft confufion. Many of them therefore were flain in the field; the reft fled into the city, and Ihut the gates. But this only protrafted their fate for a Ihort time ; for the king, having or¬ dered the city to be invefted by his cavalry, took it, as well as the caftle, by ftorm, and put all he found there to the fword. He fent at the fame time Per- diccas with a confiderable detachment, to inveft ano¬ ther city of the ;Malli at a confiderable diftance ; but when he came there, he found it abandoned. How¬ ever, he purfued the inhabitants who had but lately left it, and killed great numbers of them on. the road. After this the king took federal other cities, but not without confiderable refiftance; for the Indians fome- times chofe to burn themfeves in their houfes. rather than furrender. At laft he marched to their capital eity; and finding that abandoned, he proceeded to the river Hydraotes, where he found 50,poo men encamped on the oppofite bank, in order to difpute his paffage. He did not hofitate, however, to enter the river with a confiderable party of horfe : and fo much were the Indians terrified at his prefence, that their whole army retired before him. In a Ihort time they returned and attacked him, being alhamed to fly before fuch an inconfiderable number ; hut in. the mean time the reft of the Macedonian forces came up, and the Indians were-obliged to retire to a city which lay behind them, and whieh Alexander invefted that very night. The next day he ftormed the. city with inch violence, that the inhabitants were compelled to abandon it, and to retire to the caflde, where they prepared for an obftinate defence. The king inftantly gave orders for fealing the walls, and the foldiers prepared to execute thefe orders as faft as they could ; but the king being impatient caught hold of a ladder and mounted it firft himfelf, being followed by Leonatus, Peuceftas, and Abreas, the latter a man Macedon. of great valour, and who on that account had double J pay allowed him. The king having gained the top of the battlements, cleared them quickly of the defen- dants, killing fome of them with his fword, and pufh- rate valour ing others over the walls : but after this was done, he and danger, was in more danger than ever ; for the Indians galled him with their arrows from the adjacent. towers, though they durft not come near enough to engage him. His own battalion of targeteers mounting in hafte to fecond him, broke the ladders; which, as foon as Alexander perceived, he threw himfelf down into the caftle, as did alfo Peuceftas, Leonatus, and Abreas. As foon as the king was on the ground, the Indian general ruihed forward to attack him ; but Alexander inftantly difpatched him, as well as feveral others who followed him. Upon this the reft retired, and contented themfelves with throwing darts and ■ ftones at him at a diftance. Abreas was ftruck into the head with an arrow, and died on the fpot ; and, fhortly after, another pierced through the king’s breaft- plate into his body. As long as he had fpirits, he defended himfelf valiantly ; but, through a vaft effufion of Blood, loftng his fenfes, he' fell upon his Afield. .Peuceftas then covered him with the facred Afield of Pallas on one fide, as did Leonatus with his own Afield on the other, though they themfelves were dreadfully wounded. In the mean time, however, the ^ ^ foldiers on the outfide, eager to lave their king, fup- gcujj.y fa_ plied their want of ladders by driving large iron pins ved by hia into the walls. By the help of thefe many of them men. afeended, and came to the afliftance of Alexander and his companions. The Indians were now flaughtered without mercy ; but Alexander continued for fome time in a very dangerous way : however, he at laft re¬ covered his ftrength, and Ihowed himfelf again to his army, which filled them with the greateft joy. v The Malli, being now convinced that nothing but' fubmiffion could fave the remainder of them, fent de¬ puties to Alexander, offering the dominion of their country; as did alfo the Oxydracas : and the king having fettled every thing in thefe countries agreeable 105 to his mind,.proceeded on his voyage down the river He pro- Indus. In this voyage he receive«1 the fubmilfion of ceeds in 1':9' fome other; Indian princes; and perceiving, that, at ^o^n'tha the point of the ifland Pattala, the river divided itfclf-lsdui. into two vaft branches, he ordered an haven and con¬ venient docks to. be made there for his {hips; and when he had careened his fleet, he failed dowm the right-hand branch towards the ocean. In .his paffage he fuftained great difficulties by;, reafon of hia want of pilots, and at the mouth of the river very narrowly miffed being caft aw*-/: yet all-this did not hinder- him from purfuing his firft defign, though it does not- appear that he had any other motive, thereto than the vain defire of boafting that he had entered the ocean beyond the Indus.: for, having confecrated certain hulls to Neptune, and thrown them into the fea, performed certain libations of golden cups, and thrown, the cups alfo into the fea, he. came back again ; . having only furveyed two little iflands, one at the mouth of the Indus, and. one a little farther in the ocean. On the king’s return to Pattala, he refolved to fail down the other branch of the Indus,, that, he might: fee.- ■MAC r 382 J MAC Maetdan, fee whether it was more fafe and commodious for his fleet than that which he had already tried ; and for this he had very good reafons. He had refolved to fend Nearchus with his fleet by fea, through the Perfian gulf up the river Tygns, to meet him and his army, in Mefopotamia ; but as the poffibility of this voyage depended .on the ceafing of the Etefian winds,' there was a neceffity of laying up the fleet till the feafon Ihould prove favourable. Alexander, there¬ fore, failing through this branch of the Indus, fought •on the fea-coalt for bays and creeks, where his fleet might anchor in fafety ; he caufed alfo pits to be funk, which might be filled with frefh water for the ufe of his people ; and took all imaginable precautions for preferving them in eafe and fafety till the feafon would allow them to continue their voyage. In this he fucceeded to his wilh; for he found this branch of the river Indus, at its mouth, fpread over the plain country and forming a kind of lake, wherein a fleet might ride with fafety. He therefore appointed Leo- natus, and a part of his army, to carry on fuch works as were neceffary ; caufing them to be relieved by ShrsoftTor frefh troops as often as there was occafion : then ha- Babyi'ou. vihg given his laft in {trillions to Nearchus, he de- v parted with the reft of the army, in order to march back to Babylon. Before the king’s departure, many of his friends advifed him againft the route which he intended to take. They told him, that nothing could be more ra(h or dangerous than this refolution. They acquainted him, that the country through which he was to travel was a wild uncultivated defart; that Semiramis, when Ihe led her foldiers this, way out of India, brought home but 20 of them ; and that Cyrus, attempting to do the fame, returned with only feven. But all this was fo far from deterring Alexander, that it more than ever determined him to purfue no other road. As foon, therefore, as he had put things in order, he •marched at the head of a fufficient body of troops to reduce the Oritae, who had never vouchfafed either to make their fubmiflion or to court his friendlhip. Their territories lay on the other fide of a river called s/ra- bis, which Alexander crofted fo fpeedily, that they had no intelligence of his march ; whereupon moft of them quitted their country, and fled into the defarts. Their capital he found fo well fituated, that he refol¬ ved to take it out of their hands, and to caufe a new and noble city to be founded there, the care of which he committed to Hephasftion. Then he received the deputies of the Oritns and Gedrofi ; and having aflured them, that if the people returned to their villages, they Ihould be kindly treated, and having appointed Apol- lophenes prefident of the Oritas, find left a confiderable body of troops under Leonatus to fecure their obe- 107 dience, he began his march through Gedrofia. In this His dan- ’ march his troops fuffered incredible hardlhips. The gerous road was very uncertain and troublefome, on account *T*arch. of its lying thro’ deep and loofe fands, rifing in many Gedrofia. places into hillocks, which forced the foldiers to climb, at the fame time that it funk under their feet; there were no towns, villages, nor places of refrefhment, to be met with ; fo that, after exceflive marches, they were forced to encamp among thefe dry fands. As to pro- vifions, they hardly met with any during their whole march. The foldiers were therefore obliged to kill their beafts of carnage : and fuch as were fent to bring fome Macedwt. corn from the fea-fide, were fo grievoufly diftreffed, » that, though it was fealed with the king’s fignet, they cut open the bags, choofing rather to die a violent death for difobedience than perilh by hunger. When the king, however, was informed of this, he freely par¬ doned the offenders; he was alfo forced to accept the excufes that were daily made for the lofs of mules, horfes, &c. which were in truth eaten by the foldiers, and their carriages broken in pieces to avoid further trouble. As for water, their want of it was a great misfortune ; and yet their finding it in plenty was fometimes a greater: for, as by the firft they perifhed with thirft, fo by the latter they were burit, thrown into dropfies, and rendered incapable of travel. Frequently they met with no water for the whole day together : fometimes they were difappointed of it at night; in which cafe, if they were able, they march¬ ed on ; fo that it was common with them to travel 30, 40, 50, or even 60 miles without encamping. Num¬ bers through thefe hardlhips were obliged to lag in the rear ; and of thefe many were left behind, and perilh- ed ; for indeed fcarce any ever joined the army again. Their miferies, however, they fuftained with incre¬ dible patience, being encouraged by the example of their king ; who, on this occafion, fuffered greater hardlhips than the meaneft foldier in his army. At laft 10$ they arrived at the capital of Gedrofia, where they re- He arrive# frelhed themfelves, and ftaid fome time : after which, JIi Carama- they marched into Caramania; which being a very plen¬ tiful country, they there made themfelves ample amends for the hardlhips and fatigues they had fuftained. Here they were joined firft by Craterus with the troops un¬ der his command, and a number of elephants; then came Stafanor prefident of the Arians, and Pharif- manes the fon of Phrataphernes governor of Parthia. They brought with them camels, horfes, and other beafts of burden, in vaft numbers; having forefeen, that the king’s march thro’ Gedrofia would be attend¬ ed with the lofs of the greateft part, if not of all the cavalry and beafts belonging to his army. During Alexander’s ftay in Caramania, he redreffed 109 the injuries of his people, who had been grievoufly op- preffed by their governors during his abfencei Here y^ces'of alfo he was joined by his admiral Nearchus, who his people, brought him an account that all under his command were in perfect fafety, and in excellent condition; with which the king was mightily pleafed, and, after having beftowed on him fingular marks of his favour, fent him back to the navy. Alexander next fet out for Perfia, where great diforders had been committed during his abfence. Thefe alfo he redreffed, and caufed the governor to be crucified; appointing in his room Peu- ceftas, who faved his life when he fought fingly againft a whole garrifon as above related.1 The new governor was no fooner inverted with his dignity, than he laid afide the Macedonian garb, and put on that of the Medes ; being the only one of Alexander’s captains, who, by complying with the manners of the people he governed, gained their affedtion. While Alexander vifited the different parts of Per¬ fia, he took a view, among the reft, of the ruins of Per- fepolis, where he is faid to have expreffed great fdr- row for the deftruftion he had formerly occafioned. From Perfepolis he marched to Sufa, where he gave MAG [ 383 j MAC W»cedon. an extraordinary loofe to pleafurc ; refolving to make ~ himfelf and his followers fome amends for the difficul¬ ties they had hitherto undergone; purpofmg at the fame time fo effectually to unite his new conquered with his hereditary fubjedts, that the jealoufies and fears, which had hitherto tormented both, fhould no ^ ,T0 longer fnbfift. With this view he married two wives other'two the blood royal of Perfia; viz. Barfine, or Statira, wives. the daughter of Darius, and Paryfatis the daughter of Ochus. Drypetis, another daughter of Darius, Ire gave to Hephaeftion ; Amaftrine,. the daughter of Oxy- artes- the brother of Darius, married Craterue; and to the reft of his friends, to the number of. 80, he gave other women of the greateft quality. All thefe mar¬ riages were celebrated at once, Alexander himfelf be- ftowxng fortunes upon them; he diredled likewife to take account of the number of his officers and foldiers who had married Afiatic wives; and tho’ they appear¬ ed to be 10,000,- yet he gratified each of them accord- in ing t° hi® rank. He next refolved to pay the debts of Pays the his army;, and thereupon iffued an ediCt directing r'ebts of hjs every man to regifter his name and the fum he ovyed; arR1^‘ with which the foldiers complying flowly, from an ap- prehenfion that there was fome defign againft them, A lexander ordered tables heaped with money to be fet in all quarters of the camp, and caufed every man’s debts to be paid on his bare word, without even, making any entry of his name ; though the whole fum came to 20,000 talents. On fuch as had diftinguifhed themfelves in an extraordinary manner, he bellowed crowns of gold. Peuceftas had the firft ; Leonatus the fecond; Nearchus the third; Oneficritus the fourth ; Hephaeftion, the fifth ; and the reft of his guards had each of them one. After this he made other difpofitions for conciliating, as he fuppofed, the differences among all his fubjcCls. He reviewed the 30,000 youths, whom at his departure for India he had ordered to be taught Greek and the Macedonian dif- cipline ; expreffing high fatisfaClion at the fine appear¬ ance they made, which rendered them worthy of the appellation he bellowed on them, viz. that of Epigoni, i. e. fucceflbrs. He promoted alfo, without any di- ftinCtion of nation, all thofe who had ferved him faith- dully and valiantly in the Indian war. When all thefe ■regulations were made, he gave the command of his heavy armed troops to Hephaeftion, and ordered: him. 'to march direCtly to the banks of the Tigris, while in the mean time a fleet was equipped for carrying tire king and the troops he retained with him down to •the ocean. Thus ended the exploits of Alexander j the greateft -conqueror that ever the world faw, at leal! with re- fpeCl to the rapidity of his eonquefts. In 12 years time he had brought under his fubjeClion Egypt, Libya, Afia Minor, Syria, Phoenicia, Paleftine, Ila- •bylonia,. Perfia, with part of India and Tartary. Still,, however, he meditated greater things. He had now got a great tafte in maritime affairs; and is faid to have meditated a voyage to the coafts of Arabia and Ethiopia, and thence round the whole continent of ■Africa to the Straits of Gibraltar. J^ut of this there is no great certainty;, though thathe intended to fub- due the Carthaginians and Italians, is more than pro- •bable. All thefe defigns, however, were fruftrated by death,, which happened at Babylon in 323 B. C. He is faid to have received feveral warnings of his ap- Mated)** proaching fate, and to have been advifed to avoid that '/™~J city; which advice he either defpifed or could not follow. He died of a fever after eight clays ifinefs, He aies at without naming any fucceffor ; having only given his Babylon, ring to Perdiccas, and left the kingdom, as he faid, to the mojl worthy. The character of this great prince has been varioufly ^ reprefented ; but moft hiftorians feem to have looked ter> upon him rather as an illuftrious madman than one upon whom the epithet of Great could Ire properly be* ftowed. From a careful ©bfervation of his condudl, however, it mu ft appear, that he pofleff’ed not only a capacity to plan, but likewife to execute, the greatelt enterprifes that ever entered into the mind of any of the human race. From whatever caufe the notion^ originated, it is plain that he imagined himfelf a divine perfon, and born to fubdue the whole world: and ex¬ travagant and impra&icable as this fcheme may appear at prefent, it cannot at all be looked upon in the fame light in the time of Alexander.. The Greeks were in liis time the moft powerful people* in the world in re- fpedl to their fkill in the military art, and the Perfians were the moft powerful with refpeft to wealth and numbers. The only other powerful people in the world were the Carthaginians, Gauls, and Italian na¬ tions. From a long feries of wars which the Cartha¬ ginians carried on- in Sicily, it appeared that they were by no means capable of contending with the Greeks even when they had an immenfe fuperiority of numbers ; much lefs then, could they have fuftained an attack from the whole power of Greece and Afia united. The Gauls and Italians were indeed very brave, and of a martial difpofition; but they were barbarous, and could not have refifted armies well dif- ciplined and under the command of fuch a fkilful leader as Alexander. Even long after his time, it ap¬ peared that the Romans themfelves- could not have refifted the Greeks; fince Regulus, after having de¬ feated the Cathaginians and reduced them to the ut- moft diltrefs, was totally unable to refill a Carthagi¬ nian army commanded by a Greek general, and guided: by Greek difcipline. Thus it appears, that the feheme of Alexander can¬ not by any. means be accounted that of a madman, or of one who projects great things without judgment or means to execute them. If we confider from his ac¬ tions the end which moft probably he had in view, could'his fcheme have been accomplilhed, we lhall find it not only the greateft hut the ie/i that can polfibly be imagined He did not conquer to deftroy, enflave, or opprefs; but to civilize, and unite the whole world as one nation. No fooner was a-province conquered than he took care of it as if it had been part of his paternal inheritance. He allowed not his foldiers to opprefs and plunder the Perfians, which they were very much inclined to do; on the contrary, by giving into the oriental cuftoms himfelf, he ftrove to extinguifti that inveterate hatred which had fo long fubfifted be¬ tween the two nations. In the Scythian countries which he fubdued, he purfued the fame excellent plan. His courage and military fkill, in which he never was excelled, were difplayed, not with a view to rapine or defultory conqueft, but to civilize and induce the bar* barous inhabitants to employ themfelves in a more pro-- MAC [ 384 ] MAC Macedon, per way of life. “ Am id (l the hardfliips of a military —v 1 life (fays Dr Gillies), obftinate lieges, bloody battles, and dear bought viidories, he {till refpefted the rights of mankind, and pradifed the mild virtues of huma¬ nity. The conquered nations enjoyed their ancient laws and privileges; the rigours of defpotifm foftened; arts and induftry encouraged; and the proudeft Ma¬ cedonian governors compelled, by the authority and example of Alexander, to obferve the rules of juftice towards their meaneft fubje&s. To bridle the fierce inhabitants of the Scythian plains, he founded cities and eftablilhed colonies on the banks of the laxartes and Oxus; and thofe deftru&ive campaigns ufually afcribed to his reftlefs adivity and blind ambition, appeared to the difcernment of this extraordinary man not only eflefitial to the fecurity of the conquefts which he had already made, but neceflary for the more remote and fplendid expeditions which he ftill purpofed to undertake, and which he performed with fingular boldnefs and unexampled fuccefs.”—In an¬ other place-the fame author gives his charader in the following words. “ He was of a low ftature, and fomewhat deform¬ ed ; but the adivity and elevation of his mind ani¬ mated and ennobled his frame. By a life of continual labour, and by an early and'habitual pradice of the gymnaftic exercifes, he had hardened his body againft the impreffions of cold and heat, hunger and thirft, and prepared his robull conllitution for bearing fuch exertions of ftrength and adivity, as have appeared incredible to the undifciplined foftnefs of modern times. In generofity and in prowefs, he rivalled the greateft heroes of antiquity 4 and in the race of glory, having finally outftripped all competitors, became ambitious to furpafs himfelf. His fupe'rior {kill in war gave un¬ interrupted fuccefs to his arms ; and his natural hu¬ manity, enlightened by the philofophy of Greece, taught him to improve his conquells to the bed inte- relts of mankind. In his extenfive dominions, he built or founded not lefs than 70 cities ; the lituation of which being chofen with confummate wifdom, tended to facilitate communication, to promote commerce, and to diffufe civility through the greateft nations of the earth. It may be fufpeded, indeed, that.he mif- took the extent of human power, when in the courfe of one reign he undertook to change the face of the world ; and that he mifcalculated the ftubbornnefs of ignorance and the force of habit, when he attempted to enlighten barbarifm, to foften fervitude, and to tranfplant the improvements of Greece into an Afri¬ can and Afiatic foil, where they have never been known to flourilh. Yet let not the defigns of Alex¬ ander be too haftily accufcd of extravagance. Who¬ ever ferioufly confiders what he actually performed be¬ fore his 33d year, \\ ill be cautious of determining what he might have accompliftied had he reached. the ordi¬ nary term of human life. His refources were peculiar to himfelf; and fuch views as well as aftions became him as would have become none befides. In the lan¬ guage of a philofophical hiftorian, ‘ he feems to have been given to the world by a peculiar difpenfation of Providence, being a man like to none other of the human kind.’ “ From the part which his father Philip and himfelf afted in the affairs of Greece, his hiftory has been 19c. tranfmitted through the impure channels of cxagge- Macedoa, rated flattery or malignant envy. The innumerable v fictions, which difgrace the works of Vis biographers, arc contradicted by the moft authentic accounts of his reign, and inconfiftent with thofe public tranfaCtions which concurring auhorities confirm. In the prefent work it feemed unneceffary to expatiate on fuch to¬ pics, fince it is lefs the bufinefs of hiftory to repeat or even to eXpofe e rors than-to feleft and imprefs ufeful -truths. An author, ambitious of attaining that pur- pofe, can feldom indulge the language of general pa¬ negyric. He will acknowledge, that Alexander’s ac¬ tions were not always blamelefs; but, after the moft careful examination, he will affirm, that his faults were few in number, and refulted from his fituation rather than from his character. “From the firft years of his reign he experienced the crimes of difaffection and treachery, which multiplied and became more dangerous with the extent of his dominions and the difficulty to govern them. Several of his lieutenants early afpired at independence; others formed confpiracies againfl: the life of their mafter. The firft criminals were treated with a lenity beco¬ ming the generous fpirit of Alexander : But when Philotas, the fon of Parmenio, and even Parmenio himfelf, afforded reafon to fufpedt their fidelity ; when the Macedonian youths, who, according to the infti- tution of Philip, guarded the royal pavilion, prepared to murder their fovereign, he found it neceffary to de¬ part from his lenient fyftem, and to hold with a firmer hand the reins of government. Elated by unexampled profperity, and the fubmiffive reverence of vanquilhed nations, his loftinefs difgufted the pride of his Euro¬ pean troops, particularly the Macedonian nobles, who had been accuftomed to regard themfelves rather as his companions than fubjefts. The pretenfions which found policy, taught him to form and to maintain, of being treated with thofe external honours ever claim¬ ed by the monarch s of the Eaft, highly offended the religious prejudices of the Greeks, who. deemed it im¬ pious to prottrate the body or bend the knee to any mortal fovereign. Yet had he remitted formalities confecrated by the practice of ages, he muft infenfibly have loft the refpeft of his Afiatic fubjefts. With a view to reconcile the difcordant principles of the vic¬ tors and vanquiftied, he affected an immediate defcent from Jupiter Ammon, a claim liberally admitted by the avarice or fears of the Libyan priefts; and which, he had reafon to expert, could not be very obftinately denied by the credulity of the Greeks and Macedo¬ nians, who univerfally acknowledged that Philip, his reputed father, was remotely defcended from the Gre¬ cian Jupiter. But the fuccefs of this defign, which might have intitled him, as fon of Jupiter, to the fame obeifance from the Greeks which the barbarians rea¬ dily paid him as monarch of the Eaft, was counter- .afted, at firft by the fecret difpleafurc, and afterwards by the open indignation, of feveral of his generals and courtiers*. Nor did the conduct of Alexander tend to extricate him from this difficulty. With his friends he maintained that equal intercourfe of vifits and en¬ tertainments which chaiafteriled the Macedonian man¬ ners ; indulged the liberal flow of unguarded conver- fation ; and often exceeded that intemperance in wine which difgiaced his age and country.” MAC [ 38c ] M A C Mace.tert. We (hall conclude this character of Alexander with 1.,—y—— ■ Ql,fei ving, that he had in view, and undoubtedly muft have accomplifhed, the fovereignty of the ocean as well as of the land. The violent refiftance made by the Tyrians had Ihown him the ftrength of a commercial nation; and it wras undoubtedly with a view to en¬ rich his dominions by commerce, that he equipped the fleet on the Indus, and wifhed to keep up a communi¬ cation with India by land as well as by fea. “ It was chiefly with a view to the latter of thefe objefts (fays Dr Robertfon), that he examined the navigation of the Indus with fo much attention. With the fame view, on his return to Sufa, he in perfon furveyed the courfe of the -Euphrates and Tigris, and gave direc¬ tions to remove the catarafts or dams with which the ancient monarchs of Perfia, induced by a peculiar pre¬ cept of their religion, which enjoined them to guard with the utmofl care againft defiling any of the ele¬ ments, had conftrufted near the mouths of thefe rivsrs, in order to Ihut out their fubjefts from any accefs to the ocean. By opening the navigation in this man¬ ner, he propofed, that the valuable commodities of India fliould be conveyed from 'the Perfian Gulf into the interior parts of bis Afiatic dominions, while by the Arabian Gulf they fliould be carried to Alexan¬ dria, and diftributed to the reft of the world. “ Grand and extenfive as thefe fchemes were, the precautions employed, and the arrangements -made for carrying them into execution, were fo various and fo proper, that Alexander had good reafon to enter¬ tain fanguine hopes of their proving fuecefsful. At the time when the mutinous fpirit of his foldiers obli¬ ged him to relinquilh his operations in India, he was not 30 years of age complete. At this enterprifmg period of life, a prince of a fpirit fo aftive, perfeve- ring, and indefatigable, muft have foon found means to refume a favourite meafure on which he had been long intent. If he had invaded India a fecond time, he would not, as formerly, have been obliged to force his way through hoftile and unexplored regions, op- pofed at every ftep by nations and tribes of barbarians whofe names had never reached Greece. All Afia, from the fhores of the Ionian fea to the banks of the Hyphafis, would then have been fubjeft to his domi¬ nion ; and through that immenfe ftretch of country he had eftabliflied fuch a chain of cities or fortified fta- tions, that his armies might have continued their march with fafety, and have found a regular fucceflion of ma¬ gazines provided for their fubfiftence. Nor would it have been difficult for him to bring into the field forces fufficient to have atchieved the conqueft of a countiy fo populous and «sxtenfive as India. Having armed and difeiplined his fubjefts in the Eaft like Euiopeans, they would have been ambitious to imitate and to equal their inftrudtors; and Alexander might have drawn recruits, not from his fcanty domains in Macedonia and Greece, but from the vaft regions of Afia, which in every age has covered the earth, and aftonilhed man¬ kind with its numerous armies. When at the head of fuch a formidable power he had reached the con¬ fines of India, he might have entered it under circum- ilances very different from thofe in his firft expedition. He had fecured a firm footing there, partly by means 0r fcaltng ladders; 2. The battering ram ; 3. The helepolis ; 4. The or tortoife, called by the Romans tejludo ; 5. The or agger, which was faced with ftone, and raifed higher than the wall; 6. Upon the were built rvpyoi or towers of wood ; 7. r£?P«<, 0r oAer hurdles ; 8. Cata- puhee, or K-zUntfxi, from which they threw arrows with amazing force ; and, 9. The mSoGokoi, xiTgoSoMt, 0r e‘*y from which ftones were caft with great velo¬ city. The principal warlike machines made ufe of by the Romans were, the ram, the lupvs or wolf, the tejludo or tortoife, the lalijla, the catapulta, and the fcorpion. MACHINERY, in epic and dramatic poetry, is when the poet introduces the ufe of machines; or brings fome fupernatural being upon the ftage, in order to folve fome difficulty or to perform fome exploit out of the reach of human power. The ancient dramatic poets never made ufe of machines, unlefs where there was an abfolute neceffity for fo doing: whence the precept of Horace ; Nec Deus interfit, nifi rlignus vindice nodus Inc'derit. It is quite otherwife with epic poets, who introduce machines in every part of their poems; fo that nothing is done without the intervention of the gods. In Mil¬ ton's Paradife Loft, by far the greater part of the actors are fupernatural perfonages : Homer and Virgil do no¬ thing without them; and, in Voltaire’s Henriade, the poet has made excellent ufe of St Louis. As to the manner in which thefe machines ftiould a£t, it is fometimes inviftbly, by Ample infpirations and fuggeftions; fometimes by actually appearing under fome human form; and, laftly, by means of dreams and oracles, which partake of the other two. How¬ ever, all thefe ftiould be managed in fuch a manner as to keep within the bounds of probability. MACHUL, an inftrument of muftc among the Plate Hebrews. Kircher apprehends that the name was^^^^1^ given to two kinds of inftruments, one of the ftringed and the other of the pulfatile kind. That of the former fort had Ax chords: though there is great rea- fon to doubt whether an inftrument requiring the aid of the hair-bow, and fo much refembling the violin, be fo ancient. The fecond kind was of a circular form, made of metal, and either hung round with little bells, or furnilhed with iron rings fulpended on a rod or bar that paffed acrofs the circle. Kircher fuppofes that it was moved to and fro by a handle Axed to it, and thus emitted a melancholy kind of murmur. MACHYNLETH, a town of Montgomeryftiire in North Wales, 198 miles from London, and 32 from Montgomery. It is an ancient town; and has a market on Mondays, and fairs on May 16, June 26, July 9, September 18, and November 25, for ffieep, horned cattle, and horfes. It is feated on the river Douay, over which there is a large ftone bridge, which leads into Merionethlhire. It was here that Owen Glyndwr exercifed the Aril adts of his royalty in 1402. Here MAC Mackenzie, Here he accepted the crown of Wales, and affembled Mackerel. a parliament; and the houfe wherein they met is now landing, divided into tenements. MACKENZIE, (Sir George), an able lawyer, a polite fcholar, and a celebrated wit, was born at Dundee in the county of Angus in Scotland in 1636, and ftudied at the univerfxties of Aberdeen and St An¬ drew’s ; after which he applied himfelf to the civil law, travelled into France, and profecuted his ftudy in that faculty for about three years. At his return to his native country', he became an advocate in the city of Edinburgh ; and foon gained the chara&er of an emi- net pleader. He did not, however, fuffer his abili¬ ties to be confined entirely to that province. He had a good taile for polite literature ; and he gave the pu¬ blic, from time to time, incontellable proofs of an un¬ common proficiency therein. He had praftifed but a few years, when he was promoted to the office of a judge in the criminal court; and, in 1674, was mau*‘ wards the latter part of the fourth century the fight wcaild embrace % much larger portion of the Of what country he was, is not clear : Erafmus, horizon ; the advantage of which they are well ac- ° J a~ / in his Ciceronianus, feems to think he was a Creek ; quainted with, either in the conftant exei'cife of hunt- ™ and he himfelf tells us, in the preface to his Saturnalia, ing, or on a thoufand other occafions. Ever firtce the that he was not a Roman, but laboured under the 16th century, the rmffionaries eftablifhed in the coun- ’inconveniences of writing in a language which was tries inhabited by the favages of America, have en- not natural to him. Of what religion he was, Chrif- deavoured to deflroy this cuftom ; and we find in the tian or Pagan, is uncertain. Barthius ranks him among fefiions of the third council of Lima, held in 1585, a the Chriftians; but Spanheim and Fabricius fuppofe a canon which exprefsly prohibits it. But if it has been him to have been a heathen. This, however, is cer¬ tain, that he was a man of confular dignity, and one of the chamberlains or mailers of the wardrobe to Theodofius; as appears from a refcript directed to Florentius, concerning thofe who were to obtain that office. He wrote a Commentary upon Cicero’s Som- ■nium Scipionis, and feven books of Saturnalia, which treat of various fubjefts, and are an agreeable mixture of criticifm and antiquity. He was not an original wri¬ ter, but made great uie of other people’s works, borrow¬ ing not only their materials, but even their language, and for this he has been fatirically rallied by fome mo¬ dern authors, though rather unfairly, confidering the exprefs declaration and apology which he makes on this head, at the very entrance of his work. “ Don’t blame me,” fays he, “ if what I have colle&ed from multifarious reading, I lhall frequently exprefs in the very words of the authors from whom I have taken it: for my view in this prefent work is, not to give proofs of my eloquence, but to colleft and digeft into fome regularity and order fuch things as I thought might be ufeful to be known. I lhall therefore here imitate the bees, who fuck the bell juices from all forts of-flowers, and afterwards work them up into various forms and orders, with fome mixture of their own proper fpirit.” The Somnium Scipionis and Saturnalia have been often printed ; to which has been added, in the later editions, a piece inti¬ tuled, De Differentiis & Societatibus Grad Latinique V^erbi, MACROCEPHALUS, (compounded of */>»«• M great,” and “ head,” denotes a perfon with a head larger or longer than the common fize. Ma- crocephali, or Long- heads, is a name given tp a certain people, who, according to the accounts of authors, were famous for the unfeemly length of their heads : yet cuftom fo far habituated them to it, that inftead of looking on it as a deformity, they efteemed it a beauty, and, as foon as the child was born, moulded and fa- fhioned its head in their hands to as great a length as poffible, and afterwards ufed all fuch rollers and band¬ ages as might feem moll likely to determine its grow¬ ing long. The greater part of the illanders in the Archipelago, fome of the people of Alia, and even fome of thofe of Europe, Hill prefs their childrens heads out lengthwife. We may obferve alfo, that the Epirots, many people of America, &c. are all born- with fome Angularity in the conformation of their heads; either a flatnefs on the top, two extraordinary protuberances behind, or one on each fide ; Angularities which we can only regard as an effedl of an ancient and ftrange mode, which at length is become hereditary in the nation. According to the report of many travellers, the operation of comprefling the head of a child lengthwife, while it is yet Toft, is with a view infen- 4 reprefled one way, the free iiegroes and Maroons, al¬ though Africans, have adopteil it, fi'nce they have been ellablilhed among the Caribs, folely with the view of dillinguiflring their children, w-hich are born free, from thofe who are bom in flavery. The- Oma- quas, a people of South America, according to P. Veigh, prefs the heads of their children fo violently between two planks that they become quite lliarp at the top, and flat before and behind. They fay they do this to give their heads a greater refemblance t® the moon. MACROCERCI, a name given to that clafs of animalcules which have tails longer than their bodies. MACROCOLUM, or Macrocollum (formed of “ large,” and “ I join,”) among the Romans, the largeft kind of paper then in ufe. It meafured fixteen inches, and frequently two feet. MACROCOSM, a word denoting the great world' or univerfe. It is compounded of the Greek words “ great,” and “ world.” MACROOMP, or Macroom, a tovvn of Ireland, in the barony of Muikerry, county of Cork, and pro¬ vince of Munfter, 142 miles from Dublin ; it is iiitu* ated amongft hills, in a dry gravelly limeftone foil.— This place is faid to take its name from an old crook¬ ed oak, fo called in Jriih, which formerly grew here. The caftle was firft built in King John’s time, foon af¬ ter the Englifli conqueil, (according to Sir Richard Cox) by the Carews, but others attribute it to the Daltons. It was repaired and beautified by Teague Macarty, who died in the year 1 J 6 >, and was father ta the celebrated Sir Cormac Mac Teague mentioned by Cambden and other writers as an adlive perfon in. Queen Elizabeth’s time. The late Earls of Glancarty altered this caftle into a more modern ilru£lure, it be¬ ing burnt down in the wars of i64f. Oppofite to the bridge, is, the pariffi-church, dedicated to St Col- man of Cloyne. Here is a barrack for a foot com¬ pany, a market-houfe, and handfome Roman Catholic chapel. A confiderable number of perfons have been, employed in this town in combing wool and fpinning yarn, and fome falt-works have been erefted here. At half a mile’s diftance is a fpa, that rifes on the very brink of a bog ; its waters are a mild chalybeate, and are accounted ferviceable in hypochondriacal cafes, and in cutaneous eruptions. The fairs are four in the year. MACROPYRENIUM, in natural hiftory, a ge¬ nus of foffils confifting of cruftated feptariae, with a long nucleus Handing out at each end of the mafs. MACROTELOSTYLA, in natural hiftory, the name of a genus of cryftals, which are compofed of two pyramids joined to the end of a column ; both the pyramids, as alfo the column, being hexangular, and MAD l A9S 1 MAD MaSatjo and the whole body confequently compofed of 18 J1 ^ planes. Madagaf- M ACT AT IO, in the Roman facrifices, fignifies the aft of killing the viftim. .This was performed ei. ther by the prieft himfelf, or fome of his inferior offi¬ cers, whom we meet with under the names of pop#, agones, cultrarii, and xnS'tmarii; but, before the beaft was killed, the prieft, turning himfelfto the eaft, drew a crooked line with hi, knife, from the forehead to the tail. Among the Greeks, this ceremony was per¬ formed moft commonly by the prieft, or, in his abfence, by the moft honourable perfon prefent. If the facri- fice was offered to the celeftial gods, the viftim’s throat was bent up towards heaven; if to the infernal, ©r to heroes, it was killed with its throat towards the ground. The manner of killing the animal was by a ftroke on the head, and, after it was fallen, thrufting a knife into its threat. Much notice was taken, and good or ill .fuccefs predifted, from the ftruggles of the beaft, or its quiet fubmiffion to the blow, from the flowing of the blood, and the length of time it hap¬ pened to live after the fall, &c. MACTJLfE, in aftronomy, dark fpots appearing on the luminous furfaces of the fun and moon, and even fome of the planets. See Astronomy, n° 30. and n°58 et feq. and n° 98. and nc 121 etfeq. MAD-apple. See Solanum. M A D A G A SC A R, the largeft of the A frican iflands, is fituated between 430 and 510 of E. Long, and be¬ tween 12° and 26° of S. Lat.; extending in length near I coo miles from north-north-eaft to fouth-fouth-weft, and about 300 in breadth where broadeft. It was difeovefed in 1506 by Laurence Almeyda; but the Perfians and the Arabians were acquainted with it from time immemorial under the name of Serandib. Alphonzo Albukerque ordered Ruy Pereira dy Con- thinto to vifit the interior parts, and that general in¬ truded Triftan d’Acunha with the furvey. ThePor- tuguefe called it the ifland of St Laurence’, the French, who vifited it in the reign of Henry IV. named it IJle Dauphine ; its proper name is Madegajfe. It is now, however, by common confent, called Madagafcar. This large ifland, according to many learned geo¬ graphers, is the Cerne of Pliny, and the Menuthiafde of Ptolemy. It is every where watered by large rivers, ftreams, and rivulets, which have their fource at the foot of that long chain of mountains which runs thro’ the whole extent of the ifland from call to weft. The two higheft promontories are called Fivagora and Bo- tiftmene. • Voyage d Thefe mountains (according to the Abbe Rochon* ) Malaga/- inclofe within their bofoms a variety of precious mine- plrli-” i ra*s anc* ufeful foflils. The traveller (who for the firft ar' time rambles over favage and mountainous countries, in- terfefted with valleys and with hills, where nature left to herfelf .brings forth the moft Angular and the moft varied produftions) is involuntarily furprifed and ter¬ rified at the fight of precipices, the fummits of which are crowned with monftrou trees* that feem coeval with the world His aftoniftiment is redoubled at the noife of thofe grand cafcades, the approach to which is generally inaccefiible. But to thofe views fo fub- limely pifturefque, rural feenes foon fucceed ; little bills, gentle rifing grounds, and plains, the vegetation of which is never repreffed by the intemperance or the Madagif- vicifiitude of the feafons. The eye contemplates'with caf‘ pleafure thofe vaft favannas which nourifii numberlefs herds of bullocks and of flieep. You behold a flou- rifhing agriculture, produced ahnoft folely by the fer- tilifing womb of nature. The fortunate inhabitants of Madagafcar do not bedew the earth with their fweat; they fcarce ftir the ground with a rake, and even that flight preparation is fufficient. They ferape little holes at a fmall diftance from each other, into which they fcatter a few grains of rke* and cover them with their feet; and fo great in the fertility of the foil, that the lands fown in this carelefs manner pro¬ duce an hundred fold. The forefts prefent a prodigious variety of the moft ufeful and the moft beautiful trees ; ebony, wood for dydng, bamboos of an enormous tliicknefs, and palm trees of every kind. The timber employed in fhip-bailding is no lefs common than thofe kinds fo much prized by the cabinet-maker. We are told by the French governor Flaceurt, in his hiftory of this ifland f, chatf #V/? deb in the year 1650 he fent to France 52,000 weight of aloes of an excellent quality. All of thefe various trees pa^f^0o. and ftirubs are furrounded by an infinite number of pa- rafitical plants : mufhrooms of.an infinite diverfity of kinds and colours are to be met with every where in the woods; and the inhabitants know well how to diftinguifh thofe which are prejudicial to the health. They collect large quantities of ufeful gums and refms ; and out of the milky fap of a tree, denominated by them finguiore, the inhabitants, by means of coagulation, make that Angular fubftance known to naturalifts by the name of gum elafiic* (See CaoutchO’UC and Jatropha.) Befides the aromatic and medicinal herbs which a- bonnd in the forefts, the ifland produces flax and hemp of a length and ftrength which furpafs any in Europe, Sugar canes, wax, honey of different kinds, tobacco, indigo, white pepper, gum-lac, ambergris, filk, and cotton, would long fince have been objefts of com¬ merce which Madagafcar would have yielded in pro- fufion, if the Europeans, in vifiting the ifland, had furniflied the inhabitants with the neceffary informa¬ tion for preparing and improving thefe feveral pro¬ duftions. The fugar-canes (as we are informed by another tra- vellerU ) are much larger and finer than any in the weft || Tvts't Indies ; being as thick as a man’s wrift, and fo full of voyage u juice, that afoot of them will weigh two pounds. ^niia>P' l4» . When the natives travel, they carry a fugar-cane along with them, which will fupport them for two or three days. Here are alfo plenty of tamarinds; and fnch quantities of limes and oranges, that very large caiks may be filled with their juices at a trifling expence, as they mayr be purchafed for iron-pots, muikets, powder, ball, &c. During the ftiort time that Admiral Wat- fon’s fquadron ftaid here in 1754, Mr Ives preferred about half a hogihead full of thofe juices, which pro¬ ved afterwards of the greateft fert-ice to the /hips crews. It muft be obferved, however, that no good water is to be had at St Auguftine in the fouth-weft part of the ifland, where fliips ufually touch, unlefs boats are fent for it four or five miles up the river; and inftead of filling their calks at low water (as is the cafe in moft other rivers), they muft begin to fill at 3 D 2 about MAD [ 396 1 MAD about a quarter’s flood : The reafon affigned for this thefe acknowledges a chief; this chief is fometimes is, that the river has a communication with the fea at other places befidesthis of St Auguftine’s bay; and it has been found by experience,that thefea-water brought into the river by the flood-tide is not difcharged till a elective, but more ufually hereditary. The lands are not divided and portioned out, but belong to thofe who are at the trouble of cultivating them. Thefe illanders make ufe of neither locks nor keys ; the quarter’s flood of the next tide in St Auguftine’s bay; principal part of their food confifts in rice, fifti, and .nd for three miles up the river, the water is always flefh; their rice is moiltened with a foup which is fea- very brackifti, if not quite fait. The abundance and variety of provifions of every kind, which a fine climate and fertile foil can produce, foned writh pimento, ginger, faffron, and aromatic herbs. They difplay wonderful cunning in catching a variety of birds, many of which are unknown in Eu- on no part of the globe, according to M. Rochon, rope : they have the pheafant, the partridge, the quail. fuperior to thofe of Madagafcar : game, wild-fowl, poultry, fifti, cattle, and fruits, are alike plentiful. The the pintado, the wild duck, teal of five or fix different kinds, the blue hen, the black paroquet, and the turtle- oxen, Mr Ives alfo informs us, are large and fat, and dove, in great plenty ; and alfo a bat of a monftrous have each a protuberance of fat between the ihoulders, fize, which is much prized on account of its exquifite weighing about 20 pounds. Their fteftt is greatly flavour. Thefe laft are fo hideous in their appearance, cfteemed by all the European nations trading to In- that they at firft terrify the European failors; but after dia, and ftiips are fent to Madagafcar on purpofe to they have vanquiftied their repugnance to them, they* kill and fait them on the ifland. The protuberance prize their flefti infinitely before that of the pullets of of fat above mentioned is particularly eftemed after their own country. The Melagaches ;ilfa catch an im- it has lain fome time in fait; but our author fays, menfe quantity of fea-fifti; fuch as the dorado, the that he could not join in the encomiums either on this piece or the beef in general; as the herbage on which the creatures feed gives their flefti a particular tafte, which to him was difagreeable. The ftieep differ little from the goats ; being equally hairy, only that their heads are fomewhat larger: their necks referable that of a calf, and their tails weigh at leaft ten pounds. Vaft quantities of locufts rife here from the low lands in thick clouds, extending fometimes to an incredible length and l^eadth. The natives eat thefe infefts, and foie, the herring, the mackarel, the turtle, &c. with, oyfters, crabs, &c. The rivers afford excellent eels, and mullets-of an exquifite flavour. The inhabitants near St Auguftine’s bay, Mr Ives.. informs us, fpeak as much broken Engliftr as enables them to exchange their provifions for Europeon ar¬ ticles. Thefe, on the part of the Melagaches, are cattle, poultry, milk, fruit, rice, fait, porcelain, potatoes, yams, fifh, lances, and ftrells. From, the Europeans they receive muftcets, powder,, bullets, flints, cloutiesy even prefer them to their fineft fiftr. Their method (including handkerchiefs, and linen of all kinds). of drefling them is to ftrip off their legs1 and wings, and fry them in oil. The inhabitants (termed Melagaches or Madecajfes)y M. Rocbon informs us, are in perfon above the middle fize of Europeans. The colour of the Ik in is different in different tribes : among fome it is of a deep black, among others tawney; fome of the natives are of a copper beads, iron pots, &c.—Silver, which they call Manila* is in great efteem with them, and is made by them into bracelets for their wives. That part of the ifland at which the Englilh fqila- dron touched, is the dominions of the king of Baba* who, by the account of Mr Ives, feemed greatly to af- fedl to be an Eagliftiman. They had no fooner colour, but the complexion of by far the greateft number touched at the ifland,, than they were waited on by one is olive. All thofe who are black have woolly hair like the negroes of the coaft: of Africa: thofe, on the other hand, who referable Indians and Mulattoes, have hair equally ftraight with that of the Europeans ; the nofe is not. broad and flat; the foreliead is large and open; in (hort, all the features are regular and agreeable. Their phyfiognomy difplays the appearance of frank- nefs and of fatisfa&ionthey are defirous only of learn¬ ing fuch things as may adminifter to their neceffities; that fpecies of knowledge which demands reflection is indifferent to them; fober, agile, afti.ve, they fpendthe greateft; part of their time either in fleep or in amufe- ment. In fine, according to the Abbe, the natives of Madagafcar, like favages in general, poffeffes a.character equally devoid of vice and of virtue ;. the gratifications of the prefent moment folely occupy his reflexions called Robin Hood, and another perfon, both of whom bore the office of purfers. Along with thefe were Philibey the general ; John Anderfon and Frederic Martin, captains. Nor did the king himfelf and his family difdain to pay them a vifit; who, in like man¬ ner, were diflinguiftied by Englifh names ;. the king’s. eldeft fon being called the prince of Wales, and the court not being without a duke of Cumberland, a prince Auguftus, princeffes, &c. as ia England. All thefe grandees cams on board naked,, excepting only a flight covering about their loins and on their fhoul- ders, made, of a kind of grafs growing on the ifland ;. which they had adorned with fmall glafs beads by way of border or fringe. Their hair, refembled that of the Indians in being long and black, rather than the wool¬ ly heads of the African negroes- “ The wives of the he poffeffes no kind of forefight whatever ; and he can- Melagaches (according to our author) take great pains not conceive the idea that there are men in the world, with their, hufbands hair; fometimes putting it ia who trouble themfelves about the evils of futurity. The population of the ifland has been eftimated at four millions; but this calculation is thought exag¬ gerated by our author, and indeed it appears incredible to us. Every tribe or fociety inhabits its own can- large and regular curls ;. at other times braiding it in great order, and making it fhine with a particular oil. which the ifland produces.. The men always carry in, their hands a wooden lance headed with iron, which is commonly made very neat; and they are fuch ex¬ ton, and is governed by its own cuftoms. Each of cellent markfinen,. that they will ftrike with it a very 6 fmali MAD r 397 J M A D MaJsgaf- fmall objefk at 30 or 40 yards diftance. They have ^ alfo commonly a mufket, which they get from Euro- cans in exchange for cattle, and are always fare to eep in excellent order. I am forry to fay (continues Mr Ives) that the Englifh are frequently guilty of great impofitions in this kind of traffic, by difpofing of cheap and ill-tempered barrels among the poor in¬ habitants, who fometimes lofe their lives by the burll- ing of thel'e pieces. Such iniquitous practices as thefe muft in the end prove injurious to the nation ; and has indeed already made the name of more than one half of thefe traders truly infamous among the de¬ luded but hitherto friendly Madagafcarians. “ They are a civil and good-natured people, but cafily provoked, and apt to fliow their refentment on the leaft provocation, efpecially when they think themfelves injured or flighted. Another characterif- tic of them is, the very high notions of dignity they entertam of their king; which is carried to fuch a height, that they are never more fenfibly hurt than when they imagine he is treated with incivility or dif- refpect. This mighty monarch refides in a town built with mud, about 12 miles up the country from St Auguftine’s Bay. On the eaft fide of the bay, as you enter, there refided one Prince William, a rela¬ tion and tributary to the king; but who in moft cafes adted as an independent prince, and always ufed his utmofl endeavours with the officers to caufe them buy their provifions from him, and not from the king or his fubjetts. In this prince’s territories, not far from the fea, are the remains of a fort built by Avery the Pirate. “ All the women of Madagafcar, excepting the very poorefl fort, wear a covering over their breafls and fhoulders, ornamented with glafs beads, and none go without a cloth about their loins. They common¬ ly walk with a long flender rod or flick. The men are allowed to. marry as many women as they can fupport. “ During our flay at this ifiand (fays Mr Ives), I ©bferved, with great concern, feveral miferable objedls in the lail flage of the venereal difeafe. They had not been able to find any cure ; and as far as I could karn, their dodlors are totally ignorant of medicine. The only method they ufe for curing all diflempers, as well external as internal, is the wearing on the arm or neck- a particular charm or amulet; or befmearing the part affedled with earth moiftened with the juice of tome plant or tree, and made up into a foft pafle. “ I took fome pains to learn their religious tenets; and find that they worfhip one Univerfal Father; whom, when they ipeak in Englifh, they call God; and in whom they conceive all kinds of perfection to refide. The fun they look upon as a glorious body ; and, I believe, as a fpiritual being, but created and dependent. They frequently look up to it with won¬ der, if not with praife and adoration. They make their {applications to the One Almighty, and offer fa- cifices to him in their difireffes. 1 had the curiofity to attend a facrifice, at the Imt of John Anderfon, whole father had for a long time been afHicled with ficknefs. About fun-fet an ox was brought into the yard ; and the fon, who officiated as priefl,. flew it. An altar was reared nigh, and the poll of it was fprmkkd with the blood of the victim. The head, after its being fevered from the body, was placed, Madi with the horns on, at the foot of the altar : the caul was burned on the fire, and mofl of the pluck and en¬ trails' boiled in a pot. The lick man, who was brought to the door, and placed on the ground fo as to face the facrifice, prayed often, and feemingly with great fervency. His eyes were fixed attentively towards the heavens, and his hands held up in a fupplicating po- flure. The ceremony ended with the fon's cutting up the ox into fmall pieces ; the greateft part of which he dillributed among the poor Haves belonging to his father and himfelf; referving, however, fome- of the bejl pieces for his own ufe. Upon the whole, I faw fo many circumllances in this Madagafcarian facrifice, fo exadlly refembling thofe defcribed in the Old Te- flament as offered up by the Jews, that I could not turn my thoughts back to the original, without being fenfibly flruck by the exaftnefs of the copy.” When the fquadron firfl arrived at Madagafear, the king of Baba, a man of about 60 years of age, was ill of the gout. Having demanded of admiral Wat- fon fome prefents, the latter complimented him, among other things, with fome brandy. The monarch then afked him if he had any do&or with him, and if he was a great do&or, and a king’s dodlor ? To all which being anfwered in the affirmative, he defired him to bring fome mahomets (medicines) for his fick knee. With this requifition Mr Ives defigned to- comply ; but having waited until fome officers fhould be ready to accompany him, his majefly, in the mean time, took fuch a dofe of brandy as quickly fent the gout into his head, and occafioned his death. Mr Ives ob- ferves, that it happened very luckily for him that the monarch’s deceafe happened without his having taken any of the medicines intended for him, as t would have been impoffible to avoid the imputation of ha¬ ving poifoned him, which would certainly have been refented by his loyal, fubjedls. The king’s death occafioned great confufion ; the grandees being defirous that it fhould be concealed for fome time. This, however, was found impoffible ; on which they fet off for the Mud Town about 11 o’clock the fame evening. All the inhabitants of the village followed their example ; leaving only the dogs, who- fet up the mofl hideous howling. Captain Frederic Martin coming to take leave of the Enghrtv, begged with great earneflnefs for a frefh fopply of gun-povv-. der; whifpering that the king was dead,, and that they fhould in all probability go to war about making another. They had been formerly toldr, that one who- had the title of duhe of Baba would certainly fucceed to the throne;. but they afterwards learned, that Phi- libey the general having efpoufed the caufe of Ra- phanl the late king’s fon, and taken him under his tu¬ telage and protection, this youth, who was only about 16 years of age, focceeded his father as king of Baba. The following is a defeription of the fouthern divi- fiomof tlie ifland, from the Abbe Rochon.. “ That part of Madagafcar in which fort Dauphin- is fitnated is very populous. Almofl all the. villages are placed on eminences, and furrounded with two rows of ftrong pallifadoes, fomewhat in the manner of fuch. of our fences as are compofed of hurdles- and turf. Within, is a parapet of foiid. earth about four feet in- height; MAD l 398 ] MAD &4a.hga^ height; large pointed bamboos placed at the diftance of five feet from each other, and funk in a pit, form a kind of loop-holes, which contribute towards the de¬ fence of thefe villages, fome of which are befides for¬ tified with a ditch ten feet in breadth and fix in depth. The dwelling of the chief is called a denac. When the chiefs go abroad, they are always provided with a muiket and a flick arired with iron, and adorn¬ ed at the extremity with a little tuft of cow’s hair. They wear a bonnet of red wool. It is chiefly by the -colour of their bonnet that they are diftinguifhed from their fubjefts. Their authority is extremely limited ; however, in the province of Carcanojfi, the lands by cuftom belong to their chiefs, who diftribute them a- mong their fubjefts for the purpofes of cultivation they exact a trifling , quit-rent in return, which in their language is called faenfa.-—The people of Carcanoffi are not altogether ignorant of the art of writing ; they even poflefs fome hiftorical works in the Madagafcar tongue : but their learned men, whont they term Om- biajfest make ufe .of .the Arabic characters alone. They have treatifes on medicine, geomancy, and judicial a- ftrology ; the moft renowned live in the projunce of Matatane : it is in that diftrict that magic ftill remains in all its glory ; the Matanes are actually dreaded by the other Madecaflees on account of their excellence in this delufive art. The Ombiaffes have public fchools in which they teach gcomancy and aftrology. The natives have undoubtedly learned the art of writing from the Arabians, who made a conquefl of this ifland about 300 years fince. “ The people of the province of jdnoJJi, near fort Dauphin, are lively, gay, lenfihle, and grateful; they are pafiionately fond of women; are never melancholy in their company.; and the-ir principal occupation is to pleafe the fex.: indeed, whenever they meet their wives, they begin to fing and dance. The women, from being happy, are always in good humour. Their lively and cheerful character is extremely pleafing to the Euro¬ peans. I have often been prefent at their aflemblies, where affairs of importance have been agitated ; I have obferved their dances, their fports, and their amufe- ments, and I have found them free from thofe exeeffes which are but too common among poliflied nations. Indeed I was too young at this time for my obferva- tions to be of much weight: but if my experience be infufficient to infpire ponfidence, I beg the reader will rather confider the nature of things, than the relations given by men without principles or intelligence, who fancy that they have a right to tyrannize over the in¬ habitants of every country which they can fubdue. If the people of Madagafcar .have fometimes availed themfelves of treachery, they have been forced to it by the tyranny of the Europeans. The weak have no other arms agpinft the ftrong. Cotild they defend them- Telves by any ■ other means from our artillery and bayonets ? They are uninformed and helplefs; and we avail ourfelves of their vveaknefs, in otder to make them fubmit to our covetoufnefs and caprice. They receive the moft cruel and oppreffive treatment, in return for the hofpitality which they generoufly beftow on us ; and we call them traitors and cowards, when we force them to break the yoke with which we have been pleafed to load them.” Jn the fecond volume of Count Benyowiky’s Me¬ moirs and Travels we have the following, account of the religion, government, &c. of the people of this ifland. “ The Madagafcar nation believe in a Supreme Being, whom they call Zanbam, which denotes creator of all things. They honour and revere this Being ; but have dedicated no temple to him, and much lefs have they fubftituted idols. They make facri flees, by killing oxen and fheep, and they addrefs all thefe libations to God. It has been afferted, that this nation likewife makes offerings to the devil: but in this there is a de¬ ception ; for. the piece of the facrificed beaft which is ufually thrown into the fire is not intended in honour of the devil, as is ufually pretended. This cuftom is very ancient, and no one can tell the true reafon of it. With regard to the immortality of the foul, the Ma¬ dagafcar people are perfuaded, that, after their death, their fpirit will return again to the region in which the Zanhare dwells; but they by no means admit that the fpirit of man, after his death, can fuffer any evil. As to the diftindtion of evil or good, they are perfuaded that the good and upright man fliall be recompenfed, in this life, by a good ftate of health, the conftancy of his friends, the increafe of his fortuhes, the obedi¬ ence of his children, and the happinefs of beholding the profperity of his family : and they believe that the wicked man’s fate fliall be the contrary to this. The Madagafcar people, upon l;hi5 conviction, when they make oaths, add benedictions in favour of thofe who keep them, and curfes againft thofe who break them. In this manner it is that they appeal to the judgment of Zanhare, in making agreements; and it has never been known, or heard of, that a native of Madagafcar has broken his oath, provided it was made in the ufual manner, which they fay was preferibed by their forefa¬ thers. “ As to their kings and form of government, &c. The Madagafcar people have always acknowledged the line of Ramini, as that to which the rights of Am- panfacabe or fovereign belongs. They have confider- ed this line as extindl fince the death of Dian Rami¬ ni Larizon, which happened 66 years ago, and whofe body was buried upon a mountain, out of which the river Manangourou fprings ; but having acknowledged the heir of this line on the female fide, they re-efta- bliftied this title in the year 1776. The right of the Ampanfacabe confifts in nominating the Rohandrians to affift in the cabars, at which all thofe who are cited are bound to appear, and the judgment of the Am¬ panfacabe in his cabar is decifive. Another preroga¬ tive of the Ampanfacabe is, that each Rohandrian is obliged to leave him by will a certain proportion of his property, which the fucceflors ufually purchafe by a flight tribute or fine. Thirdly, the Ampanfa¬ cabe has a right to exaft from each Rohandrian one tenth of the produce of his land, and a number of horned cattle and flaves, in proportion to the riches of the country poffeffed by each Rohandrian.— The fecond order is compofed of the Rohandrians, or princes. .Since the lofs of the Ampanfacabe, three of thefe Rohan¬ drians have affumed the title of kings, namely the Ro¬ handrian of the province of Mahavelou, named Hiavi; of the province of Voemar, named Lambpuin ; and a third at Bombetoki, named Cimanounpou. The third order confifts of the Voadziri, or lords of a diilrift, compofed Madagaf* Mndapaf- M A 1> l 399 h MAD compofed of feveral villages. The fourth order con- fiits of the Lohavohits, or chiefs of villages. The fifth order, Odzatzi, who* are freemen, and compofe the attendants or followers of the Rohandrians, Voad- ziri, or Lohavohits. The fixth order confifts of Om- bialfes, or learned men ; and this order forms the warrisrs, workmen, phyficians, and diviners : thefe laft poffefs no charge. Tire feventh order confifts of Am- puria.i or Haves. “ Having made inquiries from Bomhetoki paffing to the northward, and as far as Itapere, the refult proved that there are 38 Rohandrians adfually reigning, and 287 Voadziri. With refpeft to the Lohavohits, Ond- zatzi, and Ombiaftes, it was not poffible to obtain any accurate determination of their number. Thefe or¬ ders preferve a regular gradation, respecting which it would be very difficult to give a detailed account. They live in the manner we read of concerning the ancient patriarchs. Every father of a family is prieft and judge in his own houfe, though he depends upon the Lohavohits, who fuperintends his condudf. This laft is anfwerable to his Voadziri, and the Voadziri to the Rohandrian. “ The Madagafear people having no communication with the main land of ^Ethiopia, have not altered their primitive laws ; and the language throughout the whole extent of the ifland is the fame. It would be a r9fh attempt to determine the. origin of this na¬ tion ; it is certain that it confifts of three diftindt races, who have for ages pall formed intermixtures which vary to infinity. The firft race is that of Zafe Ibrahim, or defendants of Abraham ; but they have no veftige of Judaifm, except circumcifion, and fome names, fuch as Ifaac, Reuben, Jacob, &c. This race is of a brown colour.—The fecond race is that of Za- feramini: with refpedf to this, fome books which are ftill extant among the Ombiaffes, affirm, that it is not more than fix centuries fince their arrival at Ma¬ dagafear.—With refpedf to the third race of Zafe Canambou, it is of Arabian extradlion, and arrived much more lately than the others from the coafts of ^Ethiopia: hence it poffefies neither power nor credit, and fills only the charges of writers, hiftorians,poets, &c. “ In regard to arts and trades, the Madagafear na¬ tion are contented with fuch as are neceffary to make their moveables, tools, utenfils, and arms for defence ; to conftrudt their dwellings,, and the boats which are neceffary for their navigation ; and laftly, to fabricate cloths and fluffs for their cloathing. They, are de- firous only of poffeffing the neceffary fupplies of im¬ mediate utility and convenience. The principal and moft refpe&ed bufinefs, is the manufacture of iron and fteel. The artifts in this way call themfelveS'am- panefa vihe. They are very expert in fufing the ore, and forging utenfils, fuch as hatchets, hammers,, an-! vils, knives, fpades, fagayes, razors, pincers, or twee¬ zers for pulling out the hair, &c. The fecond clafs confifts of the goldfmiths (smpanefa vela menu J: they caft gold in ingots,and make up bracelets,buckles, ear-rings, drops, rings,.&c. The third are called ompavillanga, and are potters. The fourth are the ompanevattar or turners in wood, who make boxes called.nafto, plates, wooden and horn fpoons, bive-hives, coffins, &c. The fifth, ompan cacafoti, or carpenters. They are very expert in this bufmefs, and make ufe of the rule, the plane, the compaffes, &c. The fixth are the empa- Malaga?. niavi, or rope-makers. They make their ropes of car' , different kinds of bark of trees, and likewife of hemp. ' The feventh, ampan lambo, or weavers. This bufinefs is performed by women only, and it would be reckon¬ ed difgraceful in a man to exereife it. The ombiajfes are the literary men and phyficians, who give advice only. The herauvUi are comedians and dancers. “ The Madagafear people always live in fociety; that is to fay, in towns and villages. The towns are fur- rounded by a ditch and pallifades (as already mention¬ ed), at the extremities of which a guard from 12 to 20 armed men is kept. The houfes of private people confift of a convenient cottage, furrounded by feveral fmall ones: the mafter of the houfe dwells in the largeft, and his women or Haves lodge in the fmaller. Thefe houfes are built of wood, covered with leaves of the palm-tree or ftraw. “ The houfes of the great men of the country are very fpacious; each houfe is compofed of two walls and four apartments : round about the principal houfe other fmaller habitations are built for the accommo¬ dation of the women, and the whole family of the chief; but the Haves cannot pafs the night wdthin them. Moft of the houfes inhabited by the Rohan¬ drians are built with tafte and admirable fymmetry.” The. French attempted to conquer and take poffefi* fion of the whole ifla»d, by order, and for the ufe of, their Moft Chriftian Majeities-, Louis XIII. and XIV. and they maintained a footing oa it. from the year 1642 to 1657. Luring this period, by the moft cruel treachery, they taught the native princes the barba¬ rous traffic in Haves, by villanoufly felling to the Dutch governor df Mauritius, a number of innocent people, who had been affifting them in. forming a fettlement at Fort Dauphin. The Abbe Rochon tells us, that the infalirbrity of the air in Madagafear determined his countrymen in i 66410 quit that immenfe ifland, in order to eltablifli them- felves at fo inconfiderable a place as the Ifle of Bour¬ bon,.which is fcarcely perceptible in a map of the globe : but it is apparent, from the. account of the. ftate of the French affairs on the. ifland of Madagafear in 1661, when Flacourt’s narrative was publilhed, that their ill treatment of the natives had raifed fuch a ge¬ neral and formidable oppofition to their refidence in the country, that the French were obliged to abandon their poffeffions for other reafons than the unhealthy qualities of the climate. We have not room here for a detail of all the oppreffive meafures of the French, which the Abbe himfelf candidly cenfures in the ftrongeft terms ; but /hall extract the following narra¬ tive, both becanfe it is interefting in itfelf,. and exhi¬ bits the caufes and the itfeans of their expulfion. La Cafe, one of the French officers employed by the governor of Fort Dauphin againft the natives,, was fo fuccefsful in all his enterprifes, that they called him Deaan Pous, the name of a chief who had for¬ merly conquered the whole ifland. The. French go¬ vernor, jealous of his renown, treated him harihly, and refufed to allow him the.rank. or. honours due to his valour. The fovereign of the province of Amboulle, called Dtaan Ra/citat, taking advantage of his difeon- tent, prevailed on him to become his general. Fivt* Frenchmen followed him. Deaan Nong, the daugh¬ ter MAD [ ago ] MAD Madagaf. ter of Rafcitat, captivated by the perfon and lieroifm . car‘ of La Cafe, offered him her hand with the confent of her father. The chief, grown old, infirm, and arrived at the laft flage of exigence, had the fatisfa&ion of fecuring the happinefs of his fubje&s, by appointing his fon-in-law abfolate mafter of the rich province of Amboulle. La Cafe, in marrying Deaan Nong, re- fufed to take the titles and honours attached to the fovereign power : he would accept of no other cha- rafter, than that of the firfl fubjett of his wife, who was declared fovereign at the death of her father. Se¬ cure in tire affeftion of this princefs, who was not only pofTeffed of perfonal charms, but of courage and great qualities, he was beloved and refpe&ed by her family, and by all the people of Amboulle, who reve¬ renced him as a father ; and yet, how much foever he wifhed it, he was unable to contribute to the profpe- rity of his countrymen at Fort Dauphin, whom he knew to be in the utmoft diftrefs. The governor, re¬ garding him as a traitor, had fet a price on his head, and on the heads of the five Frenchmen who had fol¬ lowed him. The neighbouring chiefs, irritated at this treatment of a man whom they fo much venerated, unanimoufly refufed to fupply the fort with provifions. This occafioned a famine in the place, which, with a contagious fever and other maladies, reduced the French garrifon to 80 men. The eftablilhment at Fort Dauphin, on the point of being totally deilroyed, was preferved for a fhort time from ruin by the arrival of a veflel from France, com¬ manded by Kercadio an officer of Brittany, who, with the affiftance of a young advocate who had been kid¬ napped on board the veflel, prevailed on the envious and implacable governor Chamargou, to make peace with La Cafe and his fovereign fpoufe Deaan Nong. This peace, however, larted but for a Ihort time ; the 'French, reftlefs and infolent to the neighbouring na¬ tions, again drew on them the vengeance of the na¬ tives. Even the fe\tf friends whom they had been able to acquire by means of La Cafe, were rendered hoftile to them by the tyrannic zeal of the miffionaries ; who, not contented with being tolerated and allowed to make converts, infilled on Deaan Manang fove- rcign of Mandrarey, a powerful, courageous, and in¬ telligent chief, well-difpofed to the French, to divorce all his wives but one. This prince, not convinced of the neceffity of fuch a meafure, alfured them that he was unable to change his habits and way of living, which were thofe of his forefathers. “ You would allow me (fays' he) to have one wife ; but if the polfeffion of one woman is a bleffing, why Ihould a numerous feraglio be an evil, while peace and con¬ cord reign among thofe of whom it is compofed ? Do you fee among us any indications of jealoufy or hatred? No, all our-women are good ; all try to make me happy ; and I am more their flave than their ma¬ iler.” This fpeech had no effedl on father Stephen, fuperior of the Madagafcar miffion. He perempto¬ rily ordered him inilantly to repudiate all his wives except one ; and threatened, in prefence of the women, to have them taken from him by the French foldiers if he hefitated in complying with his com¬ mands. It is eafy to imagine, fays M. Rochon, with what indignation this language muft have been heard N° 190. in the donae or palace of this prince. The females af- Madagsf. failed the miffionary on all fides 5 loaded him with ex- judder ecrations and blows ; and, fn their fury, would doubt- . ^ er*« lefs have afforded him no more quarter than the Thra¬ cian women did Orpheus, if Deaan Manang, notwith- ftanding his own agitation, had not made ufe of all his authority to fave him. In order to free himfelf from the perfecution of this prieft, he removed with his family 70 or 80 miles up into the country ; but he was foon followed by Father Stephen and another miffionary, with their attend¬ ants. The chief, Manang, ftill received them civilly} but he intreated them no longer to infill on the con- verfion of him and his people, as it was impoffible to oblige them to quit the culloms and manners of their anceilors. The only reply which Father Stephen made to this intreaty, was by tearing off the c//, and the amulets and charms which the chief wore as facred badges of his own religion ; and, throwing them into the fire, he declared war againft him and his nation. This violence inilantly coll him and his followers their lives: they were all maflacred by order of Manang, who vowed the dellruAion of all the French in the illand; in which intention he proceeded in a manner that has been related by an eye-witnefs, who was after¬ wards provincial commiflary of artillery, in a narrative publifiled at Lyons in 1722, intitled Voyage deMadagaf¬ car. “ Our yoke (fays the Abbe Rochon) was become odious and infupportable. Hillorians, for the honour of civilized nations, Ihould bury in oblivion the af- flidling narratives of the atrocities execrifed on thefe people, whom we are pleafed to call barbarous, trea¬ cherous, and deceitful, becaufe they have revolted a- gainll European adventurers, whofe leaft crime is that of violating the facqed rites of hofpitality.” It was about the year 1672 that the French were totally driven from the illand of Madagafcar; and no conliderabie attempts were made to form frefli ella- blilhments there till within thefe few years, by M. de Modave, and by Count Benyowlki; neither of which was attended with fuccefs, for: reafons given by the Abbe, but which we have not room to detail. MADDER. See Rubia. M, Macquer obferves, that the Hollanders are ob¬ liged to the refugees from Flanders for the know¬ ledge of manufadluring the root of madder ; and that they generally cultivate it in frelh lands which have not been ploughed. The commodity, when manufac¬ tured, is dillinguilhed into different kinds, as grape madder, bunch-madder, &c. The grape-madder is the heart of the root; the other, befides the heart, confilts alfo of the bark and fmall fibres proceeding from the principal root. For that kind called grape- madder, the finelt roots are picked out, the bark fepa- rated at the mill, and the infide root kept moift in calks for three or four years, which makes it more fit for dyeing than otherwife it would be. Unlefs madder be kept clofe in this manner, it is apt to fpoil, and lofes its bright colour in a great meafure. It is yellow at firll, but grows red and darker with age. It Ihould be chofen of a fine faffron colour, in very hard lumps, and of a llrong though not difegreeable fmell. The madder ufed for dyeing cottons in the Eaff Indies, is in fome refpe&s different from that of Eu¬ rope. MAD . rope. On the eoaft of Coromandel It ha* the name ’ of chat, and grows wild on the coaft of Malabar. ^ The cultivated kind is imported fromVaour and Tuc- corin, but the moll efteemed is the Perfian chat called . allb dumas. Another plant, called raye de chaye, or colour-root, is alfo gathered on the coalt of Coroman¬ del j but this, though fuppofed to be a fpecies of mad¬ der, is a kind of galiwn Jlore albo, which, however, gives a tolerable good colour to cotton. Another fpecies of madder, called chive-boya, and chine-ha%ala, is cultivated at Kunder in the neighbourhood of Smyr¬ na, and fame other countries of Turkey in Afia. It is more efteemed than the bell Zealand madder I 4°* ] MAD tanias, named Funchal and Maxico, from the towns Madeljit# of thofe names. The former contains two judicatures, viz. Funchal and Calhetta ; the latter being a town with the title of a county, belonging to the family of Caftello Melhor. The fecond capitania likewife comprehends two judicatures, viz. Maxico (read Ma- ftiico) and San Vicente. Funchal is the only cidade or city in this illand, which has alfo feven villas or towns ; of which there are four, Calhetta, Camara de Lobos, Ribeira Braba, and Ponta de Sol in the capitania of Funchal, which is divided into 26 garilhes. The other three are in the capitania of Maxico, which confifts of 17 parifhes; ported into thefe parts by the Dutch; and experiments thefe towns are called Maxico, San Vicente, and Santa have Ihown that it is fuperior to any other kind as a Cruz. dyeing ingredient. The modern Greeks call this The governor is at the head of all the civil and kind of madder lizari, and the Arabs fonoy. The fine military departments of this ifiand, of Porto-Santo, colour of thefe madders, however, are by our author the Salvages, and the Ilhas Defartas; which laft only attributed to their being dried in the air, and not in contain the temporary huts of fome-filhermen, who refort thither in purfuit of their bufinefs. The law-department is under the corregidor, who is appointed by the king of Portugal, commonly fent from Lilbon, and holds his place during the king’s pleafure. All caufes come to him from inferior courts by appeal. Each judicature has a fenate ; and a Juiz or judge, whom they choofe, prefides over them. At Funchal he is called Juiz da Fora; and in the ab- ftoves. Another kind of madder Is produced in Ca¬ nada, where it is called ty/fa-voyana ; its qualities are nearly the fame with the European kind. The root of madder impregnates water with a dull red colour, and fpirit of wine with a deep bright red. This root, when eat by animals along with their food, tinges their urine, and their moft folid bones, of a deep red. Wool previoufly boiled in a folution of alum and tartar, receives from a hot decoftion of madder and fence, or after the death of the corregidor, a619 ; tartar a very durable but not a very beautiful red co- his deputy. The foreign merchants elect their own lour. Mr Margraaf (Berlin Mem. 1771), ftiowshow judges, called the Providor, who is at the fame time a very durable lake of. a fine red colour, fit for the colle6tor of the king’s cuftoms and revenues, which purpofes of painting, may be obtained from madder, amount in all to about 12,0001. Sterling. Far the This procefs is as follows: Take two ounces of the greateft part of this fum is applied towards the pureft Roman alum, and diffolve it in three French falaries of civil and military officers, the pay of troops, quarts of diftilled water that has boiled, and in a clean and the maintenance of public buildings. This re¬ glazed pot. Set the pot on the fire ; and when the venue arifes, firft from the tenth of all the produce of water begins to boil, withdraw it, and add two oun- this ifland belonging to the king, by virtue of his ces of the beft Dutch madder. Boil the mixture once office as grand mafter of the order of Chrift ; fecondly, or twice; then remove it from the fire, and filter it from ten per cent, duties laid on all imports, provi- through a double filter of paper not coloured. Let fions excepted; and laftly, from the eleven per cent. the liquor thus filtrated Hand a night to fettle, and pour off the clear liquor into the glazed pot previoufiy well cleaned. Make the liquor hot, and add to it gradually a clear folution of fait of tartar in water. charged on all exports. The ifland has but one company of regular foldiers of 100 men: the reft of the military force is a mi¬ litia confifting of 3000 men, divided into companies. till all the madder is precipitated. Filtrate the mix- each commanded by a captain, who has one lieutenant ture ; and upon the red precipitate which remains up- under him and one enfign. There is no pay given to on the filter pour boiling diftilled water, till the water either the private men or the officers of this militia ; no longer acquires a faline tafte. The red lake is and yet their places are much fought after, on account then to be gently dried. No other water, neither rain of the rank which they communicate. Thefe troops nor river water, produces fo good a colour as that are embodied once a-year, and exercifed once a-month. which has been diftilled, and the quantity required of All the military are commanded by the Serjeante Mor. this is confiderable. The colour of the above preci- The governor has two Capitanos de Sal about him, pitate is deep ; but if two parts of madder be ufed to who do duty as aides-de-camp. one part of alum, the colour will be ftill deeper : one The fecular priefts on the ifland are about 1200, part of madder and four parts of alum produces a beau¬ tiful rofe colour. MADEIRAS, a clufter of iflands fituated in the Atlantic ocean in W. Long. 160, and betwe-n 320 and many of whom are employed as private tutors. Since the expulfion of the Jefuits, no regular public fchool is to be found here ; unlefs we except a feminary, where a prieft, appointed for that purpofe, inftrmfta 33° N. Lat.—The largeft of them, called Madeira, at\d educates ten ftudents at the king’s expence. Thefe from which the reft take their name, is about 55 wear a red cloak over the ufual black gowns worn Englifli miles long, and 10 miles broad; and was firft by ordinary ftudents. All thofe who intend to go difeovered on the 2d of July, in the year 1419, by into orders, are obliged to qualify themfelves by Joao Gonzales Zarco, there being no hrftorical foun- ftudying in the univerfity of Coimbra, lately re-efta- / dation for the fabulous report of its difeovery by one blifhed in Portugal. There is alfo a dean and chap./ Machin an Engliftiman. It is divided into two capi- ter at Madeira, with a bifliop at their head, whofe Vol.X. Part II. 3E income MAD L 402 ] MAD Madeifas. income is confiderably greater than the governor’s ; it confifts of 110 pipes of wine, and of 40 muys of wheat, each containing 24 bufhels ; which amounts in common years to 30001. Sterling. Here are like- wife 60 or 70 Francifcan friars, in four monafteries, «ne of which is at Funchal. About 300 nuns live on the ifland, in four convents, of the order of Merci, Sta, Clara, Incarnacao, and Bom Jefus. Thofe of the laft mentioned inftitution may marry whenever they choofe, and leave their monaftry. In the year 1768, the inhabitants living in the 43 pariihes of Madeira, amounted to 63,913, of whom there were 31,341 males and 32,572 females. But in that year 5243 perfons died, and no more than 2198 children were born ; fo that the number of the dead exceeded that of the born by 3045. It is high¬ ly probable that fome epidemical diilemper carried off fo difproportionate a number in that year, as the ifland would fhortly be entirely depopulated if the mortality were always equal to this. Another cir- cumftance concurs to ftrengthen this fuppofition, name¬ ly', the excellence of the climate. The weather is in general mild and temperate: in fummer, the heat is very' moderate on the higher parts of the ifland, whither the better fort of people retire for that fcafon ; and in the winter the fnow remains there for feveral days, whilft it is never known to continue above a day er two in the lower parts. The common people of this ifland are of a tawney colour, and well ihaped; though they have large feet, owing perhaps to the efforts they are obliged to make in climbing the craggy paths of this mountainous country. Their faces are oblong, their eyes dark ; their black hair naturally falls in ringlets, and begins to crifp in fome individuals, which may perhaps be owing to intermarriages with negroes; in general, they are hard-featured, but not difagreeable. Their women ars too frequently ill-favoured, and want the florid complexion, which, when united to a pleafing affem- blage of regular features, gives our northern fair ones the fuperiority over all their fex. They are fmall, have prominent cheek-bones, large feet, an ungraceful gait, and the colour of the darkeft brunette. The juft proportion of the body, the fine form of their hands, and their large, lively eyes, feem in fome meafure to compenfate for thofe defefts. The labour¬ ing men, in fummer, wear linen trowfers, a coarfe fhirt, a large hat, and boots ; fome have a fhort jacket made of cloth, and a long cloak, which they fome- times carry over their arm. The women wear a pet¬ ticoat, and a fhort corfelet or jacket, clofely fitting their fhapes, which is a Ample, and often not an in¬ elegant drefs. They have alfo a ftiort, but wide cloak ; and thofe that are unmarried tie their hair on the crown of their head, on which they wear no co¬ vering. The country people are exceeding fober and frugal; their diet in general confifting of bread and onions, or other roots, and little animal-food. However, they avoid eating tripe, or any offals, becaufe it is proverbially faid of a very poor man, “ He is reduced to eat tripe.” Their common drink is water, or an infufion of the remaining rind or fl and from which all obli- tpities halve received tUe name of maunders. It forms in its courfe, according to the obfervation of fome tra¬ vellers, the Greek letters and from its wind¬ ings Dcedalus is faid to have had the firft idea of his famous labyrinth. MyE ATjdi, anciently a people of Britain, near Se- ■vcrus’s wall, inhabiting the dillri£t now called Lauder¬ dale, in Scotland. MAECENAS (Caius Cilnius), the great friend and eounfeflor of Auguftus Caefar, was himfelf a very po¬ lite fcholar, but is chiefly memorable for having been the patron and protefior of men of letters. He was defcended from a moll ancient and illullrious origin, even from the kings of Hetruria, as Horace often tells us ; but his immediate forefathers were only of the e- queftrian order. He is fuppofed to have been born at Rome, becaufe his family lived there ; but in what year, antiquity does not tell us. It fays as little about his education ; but we know it mull have been of the moll liberal kind, and perfectly agreeable to the digni¬ ty and fplendor of his birth, fince he excelled in every thing that related to arms, politics, and letters. How Msecenas fpent his younger years is alfo unknown to us, any farther than by effefts; thFre being no men¬ tion made of him by any writer before the death of Julius Caefar, which happened in the year of Rome 709. Then ©dtavius Caefar, who was afterwards call¬ ed Augujlus, went to Rome, to take pofleffion of his uncle’s inheritance ; and then Maecenas became'firll publicly known, though he appears to have been Au- gullus’s intimate friend, and as it Ihould feem guardian, from his childhood. From that time he accompanied him through all his fortunes, and was his counfellor and advifer upon all occafions ; fo that Pedo Albino- vanus jullly called him Cafaris dextram, “ Caefar’s right-hand.” In A. R. 710, the year that Cicero was killed and Ovid born, Maecenas diftinguilhed himfelf by his cou¬ rage and military Ikill at the battle of Modena, where the confuls Hirtius and Panfa were flain in fighting againll Antony ; as he did afterwards at Philippi. After this laft battle began the memorable friendfhip between Maecenas and Horace. Horace, as Suetonius relates, was a tribune in the army of Brutus and Caf- fius, and upon the defeat of thofe generals made a pri- * foner of war. Maecenas, finding him an accompli Ihed man, became immediately his friend and proteflor; and afterwards recommended him to Auguftus, who reftored to him his eftate with no fmall additions. In the mean time, though Maecenas behaved himfelf well as a foldier in thefe and other battles, yet his principal province was that of a minifter and counfellor. He was the advifer, the manager, the negociator, in every thing that related to civil affairs. When the league was made at Brundufium between Antony and Au¬ guftus, Maecenas was fent to a& on the part of Au- gullus. This we learn from Horace in his journey to Brundufium: Hue venturus erat M/tcenas optimus, atque Cocceius, mijfi magnis de rebus uterque Legati, averfos foliti componere amicos. Sat. v. I. I. Awl afterwards, when this league was near breaking, through the fufpicions of each party, Maecenas was Maecenas fent to Antony to ratify it anew. —‘ 'mi In the year 717, when Auguftus and Agrippa went to Sicily to fight Sextus Pompeius by fea, Maecenas went with them ; but foon after returned, to appeafe fome commotions which were rifing at Rome : for though he ufually attended Auguftus in all his mili¬ tary expeditions, yet, whenever there was any thing to be done at Rome either with the fenate or people, he was always difpatched thither for that purpofe. Upon the total defeat of Antony at Actium, Mje- cenas returned to Rome, to take the government into his hands, till Auguftus could fettle fome neceffary af¬ fairs in Greece and Afia. Agrippa ibon followed Maecenas; and when Auguftus arrived, he placed thefe two great men and faithful adherents, the one over his civil the other over his military concerns. While Au¬ guftus was extinguiftiing the remains of the civil war in Afia and Egypt, young Lepidus, the fon of the triumvir, was forming a fcheme to affaffinate him at his return to Rome. This confpiracy was difeovered at once, by the extraordinary vigilance of Maecenas; who, as Velleius Paterculus fays, “ obferving the rafli councils of the headftrong youth with the fame tran¬ quillity and calmnefs as if nothing at all had been do¬ ing, inftantly put him to death, without the leaft noife and tumult; and by that means extinguiftied an¬ other civil war in its very beginning.” The civil wars being now at an end, Auguftus returned to Rome; and from this time Maecenas in¬ dulged himfelf at vacant hours in literary amufements, and the converfation of men of letters. In the year 734 Virgil died, and left Auguftus and Maecenas heirs to what he had. Maecenas was exceffively fond of this poet, who, of all the wits of the Auguftan age, ftood higheft in his efteem; and if the Georgies and the .Eneid be owing to the good tafte and encouragement of this patron, as there is fome reafon to think, po- flerity cannot commemorate him with too much gra- ' titude. Horace may be ranked next to Virgil in Mae¬ cenas’s good graces: we have already mentioned how and at what time their friendlhip commenced. Pro¬ pertius alfo acknowledges Maecenas for his favourer and proteftor, lib. h. eleg. 7. Nor muft Varius be forgot, though we have nothing of his remaining; fince we find him highly praifed by both Virgil and Horace. He was a writer of tragedies; and Quintilian thinks he may be compared with any of the ancients. In a word, Maecenas’s houfe was a place of refuge and wel¬ come to all the learned of his time; not only to Virgil, Horace, Propertius, and Varius, but to Fundarius, whom Horace extols as an admirable writer of come¬ dies ; to Fufcus Ariftius, a noble grammarian, and Horace’s intimate friend; to Plotius Tucea, who affxfted Varius in corre&ing the YEneid after the death of Virgil; to Valgius, a poet and very learned man, who, as Pliny tells us, dedicated a book to Au¬ guftus, De ufu Herbarutn; to Afinius Pollio, an excel¬ lent tragic writer ; and to feveral others, whom it would be tedious to mention. All thefe dedicated their works, or fome part of them at leaft, to Maece¬ nas, and celebrated his praifes in them over and over : and we may obferve farther, what Plutarch'tells uS, that even Auguftus himfelf inferibed his Commenta¬ ries to him and to Agrippa. Maecenas MAE [ 4°7 ] MAE Maecenas, Maecenas continued In Auguftus’s favour to the end Maelftrom. 0f j^jg jjfe> but not uninterruptedly. Auguftus had ^ an intrigue with Maecenas’s wife: and though the mi- niifer bore this liberty of his mailer very, patiently, yet there was a coldnefs on the part of Auguftus, which, however, foon went off. Maecenas died in the year 74^; but at what age we cannot precifely deter¬ mine, though we know he mull have been old. He mull have been older than Augullus, becaufe he was a kind of tutor to him in his youth : and then find him often called an old man by Paedo Albinovanus, a co¬ temporary poet, whofe elegy upon his dead patron is Hill extant. He made Augullus his heir; and recom¬ mended his friend Horace to him in thofe memorable Jail words, “ Horatil Placet, ut met, mentor ejlo, See.” Horace, however, did not probably furvive him long, as there is no elegy of his upon Maecenas extant, nor any account of one having ever been written, which there certainly would have been had Horace furvived him any time. Nay, Father Sanadon, the French edi¬ tor of Horace, will have it, that the poet died before his patron ; and that thefe lall words were found only in Maecenas’s will, which had not been altered. Maecenas is fa id never to have enjoyed a good Hate of health in any part of his life: and many fingulari- ties are related of his bodily conflitution. Thus Pliny tells us, that he was always in a fever; and that, for three years before his death, he had not a moment’s fleep. Though he was ceertainly an extraordinary man, and poffeffed many admirable virtues and quali¬ ties, yet it is agreed on all hands, that he was very luxurious and effeminate. “ Maecenas (fays Velleius Paterculus) was of the equeftrian order, but fprung from a moll illuftrious origin. He was a man, who, when bufinefs required, was able to undergo any fa¬ tigue and watching; who confulted properly upon all occafions, and knew as well how to execute what he had confulted; yet a man who in feafons ofleifure was luxurious, foft, and effeminate, alqioll beyond a wo¬ man. He wras no lefs dear to Coefar than Agrippa, but diitinguifhed by him with fewer honours; for he always continued of the equeltrian rank, in which he was born : not that he could not have been advanced upon the leaft intimation, but he never folicited it.” But let moralills and politicians determine of Mte- cenas as they pleafe, the men of letters are imder high obligations to celebrate his praifes and revere his me¬ mory: for he countenanced, protef arms, ammunition, provilions, &c. Every forti¬ fied town ought to be fumilhed with a large maga¬ zine, which fhould contain ftores of all kinds, fuffi- cient to enable the garrifon and inhabitants to hold out a long fiege ; and in which fmiths, carpenters, wheel-wrights, &c. may be employed in making every thing belonging to the artillery; as carriages, wag¬ gons, &c. Powder Magazine, is that place where the powder is kept in very large quantities. Authors differ great¬ ly both with regard to the fituation and conitruftion 5. hut all agree, that they ought to be arched and bomb¬ proof. In fortifications, they are frequently placed in the rampart; but of late they have been built in diffe¬ rent parts of the town. The firft powder-magazines were made with Gothic arches : but M. Vauban find¬ ing them too weak, conftrufted them in a femicircu- !ar form ; whofe dimenfions are 60 feet long within, 25 broad; the foundations are eight or nine feet thick, and eight feet high from the foundation to the fpring of the arch; the floor is two feet from the ground, which keeps it from .dampnefs. One of our engineers of great experience fome time fince had obferved, that after the centres of femicircu- lar arches are ftruck, they fettle at the crown and rile up at the hanches, even with a ftraight horizontal ex- tiados, and ftill muqh more fo in powder-magazines, whofe outfide at top is formed like the roof of a houfe, by two inclined planes joining in an angle over the top of the arch, to give a proper defeent to the rain; which effe&s are exa&ly what might be expected agreeable to the true theory of arches. Now, as this fhrinking of the arches muft be attended with very ill confequen- oes, by breaking the texture of the cement after it has bear in fome degree dried, and alfo by opening the joints of the vouffoirs at one end, fo a remedy is pro- ■v ided for this inconvenience with regard to bridges, •by the arch of equilibration in Mr Hutton’s book on bridges ; but as the ill effect is much greater in pow¬ der-magazines, the fame ingenious gentleman propo- fed to find an arch of equilibration for them alfo, and to conftruct it when the fpan is 20 feet, the pitch or height 10 (which are the fame dimenfions as the fe- inicircle), the inclined exterior walls at top forming an angle of 113 degrees, and the height of their an¬ gular point above the top of the arch equal to feven feet.. This very curious queftion was anfwered in 1 775 by the reverend Mr Wildbore, to be found in Mr Hut¬ ton’s Mifcellanea Mathemaiica. Vot.X. Part II. Artillery Magazine. In a fiege, the magazine is Magazine, made about 25 or 30 yards behind the battery, to- Magda-en. wards the parallels, and at leaft three feet underground, v to hold the powder, loaded fhells, port fires, &c. Its fidesand roof muft be well fecurcd with boards to pre¬ vent the earth from filling in : a door is made to it, and a double trench or paffage is funk from the ma¬ gazine to the battery, one to go in and the other to come out at, to prevent confufion. Sometimes tra- verfes are made in the paffages to prevent ricochet Ihot from plunging into them. Magazine, on fhip-board, a clofe room or ftore- houfe, built in the fore or after part of the hold, to contain the gunpowder ufed in battle. This apart¬ ment is ftrongly fectired againft fire, and no perfon is allowed to enter it with a lamp or candle : it is there¬ fore lighted, as occafion requires, by means of the candles or lamps in the light-room contiguous to it. Magazine Air-Gun. See A1 E-Gun. Magazines (Literary); a. well known fpecies of periodical publications, of which the firft that appeared was The Gentleman's, fet on foot by the inventor Mr Edward Cave in the year 1731: (fee the article Cave ). This, as Dr Kippis obferves*, “maybe confidered * Brg. Brit. as fomething of an epocha in the literary hiftory ofvo!> this country. The periodical performances before <"AVE‘ that time were almoft wholly confined to political tranfadlions, and to foreign and domefticoccurrences; but the monthly magazines have opened a way for every kind of inquiry and information. The intelli¬ gence and difeuffiori contained in them are very ex* tenfive -and various; and they have been the means of diffufing a general habit of reading through the na¬ tion, which In a certain degree hath enlarged the public underftanding. Many young authors, who have afterwards rifen to confiderable eminence in the literary world, have here made their firft attempts in compofition. Here too are preferved a multitude of curious and ufeful hints, obfervations, and fafts, which otherwife might have never appeared; or if they had appeared in a more evanefeent form, would have incurred the danger of being loft. If it were not an invidious talk, the hiftory of them would be no incurious or unentertaining fubjeft. The maga¬ zines that unite utility with entertainment, are undoubt¬ edly preferable to tbofe (if there have been any fuch) which have only a view to idle and frivolous amufe- ment. It may be obferved, that two of them, The Gentleman'i and The London, which laft was begun the year after the former, have amidft their numerous rivals preferved their reputation to the prefent day. They have both of them, in general, joined inftruftion with pleafure; and this likewife hath been the cafe with fome others of a later origin.”—The original London Magazine, it is believed, has been difeontinued for fome years paft.—The next oldeft publication of this kind is that intitled The Scots Magazine j which was com¬ menced at Edinburgh a few years pofterior to the ap¬ pearance of the Gentleman's at London ; which, like it, has furvived many rivals; and which ftill fubfifts, defervedly efteemed for the chaftenefs of its plan and the accuracy of its information. MAGDALEN (Mary.) See Mary. Religious of St Magdalen, a denomination given to divers communities of nuns, confifting generally of pe- 3 F nitent MAG [ 410 ] MAG Magdalen intent courtezans; fometimes alfo called Magdalanettes. jJ' . Such are thofe at Metz, eftablilhed in 1452; thofe at in 1492 ; thofe at Naples, firfl eftabliMd in 1324, and endowed by Queen Sancha, to ferve as a retreat for public courtezans, who Ihould betake themfelves to repentance ; and thofe of Rouen and Bourdeaux, which had their original among thofe of Paris in i6i8. In each of thefe monafteries there are three kinds of perfons and congregations; the firft confift of thofe who are admitted to make vows, and thefe bear the name of St Magdalen ; the congrega¬ tion of St Martha is the fecond, and is compofed of thofe whom it is not judged proper to admit to vows ; finally, the congregation of St Lazarus is compofed of fuch as are detained there by force. The religious of St Magdalen at Rome were efta- blilhed by Pope Leo X. Clement VIII. fettled, a revenue on them; and farther appointed, that the ef- fects of all public prollitutes, dying inteftate, fhould fall to them; and that the teftaments of the reft fhould be invalid unlefs they bequeathed a portion of their effedfs, which was to be at leaft a fifth part, to them. MjGnALEN-Hofpital. See London, n° 115. MAGDALENA, one of the Marquefas iflands, about five leagues in circuit, and fuppofed to be in S. Lat. 10. 25. W. Long. 138. 50. It was only feen at nine leagues diftance by thofe who difeover- ed it. MAGDALENE’s Cave, a cave of Germany, and in Carinthia, 10 miles eaft of Gortz. It appears like a chafm in a rock, and at the entrance torches are lighted to conduct travellers. It is divided into feve- ral apartments, or halls, with a vaft number of pil¬ lars formed by nature, which give it a beautiful ap¬ pearance ; they being as white as fnow,' and almoft tranfparent. The bottom is of the fame fubftance, in- fomuch that a perfon may fancy himfelf to be walking among the ruins of an enchanted caftle, furrounded with magnificent pillars, fome entire and others bro¬ ken. MAGDEBURG, a duchy of Germany, in^e circle of Lower Saxony; bounded on the north by the duchy of Mecklenburgh, on the fouth and fouth- weft by the principality of Anhalt and Halberftadt, on the eaft by Upper Saxony with part of Branden¬ burg, and on the weft by the duchy of Wolfenbuttle. The Saale circle, and that of Luxkenwalde, are fepa- rated from the reft, and furrounded on all fides by a part of Upper Saxony. This country is, for the moft part, level; but fandy, marfhy, or overgrown with woods. There are fait fprings in it fo rich, that they are fufficient to fupply all Germany with jthat commodity. The Holz circle is the moft fruitful part of it. In the Saale circle, where wood is fcarce, there is pit-coal: and at Rothenburg is a copper-mine worked. The duchy is well watered, for the Elbe paffes through it; and the Saale, Havel, After, Ohre, and Elfter, either rife in, or wafh fome part of it in their courfe. The whole duchy, exclufive of that part •f the county of Mansfeldt which is connected with it, is faid to contain 29 cities, fix towns, about 430 vil¬ lages, and 330,000 inhabitants. The ftates of the country confift of the clergy, the nobility, and de¬ puties of the cities. Before it became fubjeft to the electoral houfe of Brandenburg, frequent diets were held in it; but at prefent no diets are held, nor have the ftates the dire&ion of the finances as for¬ merly. Before the Reformation, it was an arch- biihopric, fubjeft in fpirituals to the pope alone, and its prelate was primate of aft Germany; but embracing the Reformation, it chofe itfelf adminiftrators, till the treaty of Munfter in 1648, when it was given, togew ther with the bilhopric of Halberftadt, to the eleftof of Brandenburg, as an equivalent for the Hither Pomerania, granted by that treaty to the king of Sweden. Lutheranifm is the predominant religion here ; but Calvinifts, Jews, and Roman-catholics, are tolerated. Of the laft there are five convents, who never embraced the Reformation. Aft the Lutheran parilhes, amounting to 314, are fubjeft to 16 infpec- tors, under one general fuperintendant; only the clergy of the old town of Magdeburg are under the direction of their fenior. The Jews have a fynagogue at Halle. The manufactures of the duchy are clgth, ftuffs, ftockings, linen, oil-lkins, leather, and parch¬ ment ; of which, and grain of all forts, large quanti¬ ties are exported. The arms of it are, Party per pale, ruby, and pearl. The king of Pruflia, as duke of Magdeburg, fits and votes between the eleCtor of Bavaria, as duke of Bavaria, and the eleCtor palatine^ as palfgrave of Lautern. Of the ftates of the circle of Lower Saxony he is the firft. His matricular af- fefiment for the duchy is 43 horfe and 196 foot, or 1300 florins monthly; and to the chamber of Witzlar 343 florins and 40 kruitzers. For the civil govern¬ ment of the duchy there is a council of regency, with a war aijd demefne chamber; and for the eccleiiaftical, a confiftory, and general fuperintendant. The reve¬ nues of the duchy, arifing from the falt-works, de- mefnes, and taxes, fome of which are /very heavy and oppreffive, are faid to amount to 800,000 rixdollars annually. With refpeCt to fait, every houfekeeper in the Pruflian dominions is obliged to buy a certain quantity for himfelf and wife ; and alfo for eveiy child and fervant, horfe, cow, calf, and fheep, that he pof- fefles. The principal places arc Magdeburg, Halle, and Glauche. Magdeburg, a city of Germany, in a duchy of the fame name, of which it is not only the capital, but that of aft Lower Saxony, and formerly even of aft Germany. It Hands on the Elbe, in E. Long. 12. 9. N. Lat. 52. 16. It is a city of great trade, ftrongly fortified, and very ancient. Its name figni- fies the maiden city ; which, fome imagine, took its rife from the temple of Venus, which is faid to have flood here anciently, and to have been deftroyed by Charlemagne. The founder of the city is fuppofed to have been Otho I. or his emprefs Editha, daughter to Edmund the Saxon king of England. The fame emperor founded a Benediftine convent here, which he afterwards converted into an archbiftiopric, of which the archbifhop was a count-palatine, and had very great privileges, particularly that of wearing the archiepifcopal pallium, and having the crofs borne before him, befides many others. The firft tourna¬ ment in Germany is faid to have been appointed near $iis city, by the emperor Henry the Fowler; but thefe paftimes were afterwards aboliftied, becaufe they occafioned fuch envy and animofity among the nobi¬ lity, that feveral of them killed one another upon the fpot. MAG [ 4*i 1 M ^ G Magde- {pot. The fitaation of the city is very convenient and A/i pleafant, upon the banks of the Elbe> amidft fpacious . • ° um fruitful plains, and on the. road betwixt High and Low Germany. It has been a great fufferer by fires and fieges ; but by none fo much as that fn 1631, when the emperor’s general, count Tilly, took it by ftorm, plundered and fet it on fire, by which it was entirely reduced to alhes, except the cathedral, the convent of our Lady, and a few cottages belonging to fifhermen ; of 40,000 burghers, not above 400 efcaping. The foldiers fpared neither age nor fex; but ripped up women with child, murdered fucking infants in fight of their parents, and raviflied young women in the ftreets; to prevent which violation, many of them flung themfelves into the Elbe, and others into the fire. The city is now populous, large, and well built, particularly the broad ftreet and ca- thedral-fquare. The principal buildings are the king’s palace, the governor’s houfe, the armoury, guild-hall, and cathedral. The la ft is a firperb llruCture in the antique tafte, dedicated to St Maurice, which has a fine organ, the mafter-pipe of which is fo big, that a man can fcarce clafp it with both arms ; it alfo con¬ tains the tombs of the emperor Otho and the emprefs Editha ; a fine marble ftatue of St Maurice, a por¬ phyry f@nt, an altar in the choir of one ftone of di¬ vers colours, curioufly wrought, and many other cu- riofities. They ftiow here a bedftead and table which belonged to Martin Luther, when he was an Augu- ftine friar in a cloyfter of this city before the Refor¬ mation. Among the relifts, they pretend to have 4he bafon in which Pilate walhed his hands after his condemnation of our Saviour ; the lantern which Judas made ufe of when he apprehended him ; and the ladder on which the cock crowed after St Peter denied him. The chapter confifts of a provoft, 16 major and feven minor canons; befides which, there are four other Lutheran collegiate foundations, and a Lutheran convent dedicated to our Lady, in which is a fchool or feminary. Here is alfo a gymnafium, with an academy, in which young gentlemen are in- ftrufted in the art of war. The canons of the chap¬ ter, which, except the change of religion, is upon the fame footing as before the Reformation, muft make proof of their nobility. The prebends and dignities are all ih the gift of the eleftor; and the revenue of the provoft is computed at 12,000 crowns a-year. Here is a great trade, and a variety of manufaftures. The chief are thofe of woollen cloths and ftuffs, filks, cottons, linen, ftockings, hats, gloves, tobacco and fnuff. The city was formerly one of the Hanfe and Imperial towns. Editha, confort to Otho I. on whom it was conferred as a dowry, among many other pri¬ vileges and advantages, procured it the grant of a yearly fair. The bargravate of this city was an¬ ciently an office of great power ; having the civil and criminal jurifdiftion, the office of hereditary cup-bearer being annexed to it; and was long held as a fief of the archbifhopric, but afterwards became an imperial fief, which was again conferred on the archbiftiopric by the eleftor of Saxony, upon certain conditions. MAGDOLUM, or Magdalum (anc. geog.), a town of the Lower Egypt, twelve miles to the fouth of Pelufium (Herodotus, Antonine), which doubt- lefs is the Migdol or Magdol of Jeremiah.—Another Magdalum, or Migdol, denoting literally “ a towtr or place of ftreiigth,-” near the Red Sea; (Mofes) ; far II to the fouth of the former. Ma^gi. MAGELLAN (Ferdinand), a celebrated Portu- * guefe mariner in the 16th century. He being difla- tisfied with the king of Portugal, went into the fer- vice of the emperor Charles V. and failed from Seville with five yeffels in 1519, when he difeovered and paffed the ftrait to which he gave his own name, and failed through the South Sea to the Ladrone lilands, when, according to fome authors, he was poifoned in 1520; though others fay that he was killed in a mutiny of his people in the iflai>d of Mutan, on account of his feverity. His voyage round the world was written by one on board, and has been frequently printed in Englifh. His fuddenly converting to the Chriftian religion people whofe language was unknown to him, as his was to them, is an abfurdity that diferedits this work. Straits of Magellan, a narrow paffage between the ifland of Terra del Fuego and the fouthern ex¬ tremity of the continent of America. This paffage was firft difeovered by Ferdinand Magellan, who failed through it into the South Sea, and from thence to the Eaft Indies. Other navigators have paffed the fame way ; but as thefe ftraits are exceedingly diffi¬ cult, and fubjeft to ftorms, it has been common to fail by Cape Horn, rather than through the Strait* of Magellan. See Straits Le Maire, and Terra del Fuego. MAGELLANIC-clouds, whitilh appearances like clouds, feen in the heavens towards the fouth pole, and having the fame apparent motion as the ftars. They are three in number, two of them' near each other. The largeft lies far from the fouth pole ; but the other two are not many degrees more remote from it than the neareft confpicuous ftar, that is, about 1 r degrees. Mr Boyl conjeftures, that if thefe clouds were feen through a good telefcope, they would ap¬ pear to be multitudes of fmall ftars, like the milky- wa?. MAGGI (Jerome), in Latin Magius, one of the moft learned men of the 16th century, was born at Anghiari in Tufcany. He applied himfelf to all the fciences, and even to the art of war; and diftinguiflied himfelf fo mueh in this laff ftudy, that the Venetians fent him into the ifland of Cyprus in uality of judge of the admiralty. When the Turks ^efieged Fama- gu'fta, he performed all the fervices that could be ex¬ pected from the moft excellent engineer : he invented mines and machines for throwing fire, by means of which he deftroyed all the works of the befiegers, and in an inftant overthrew what had coft the Turks infi¬ nite labour. But they had their revenge ; for, taking the city in 1571, they plundered his library, carried him loaded with chains to Conftantinople, and treated him in the moft inhuman and barbarous manner. He neverthelefs comforted himfelf from the example of aEfop, Menippus, Epiftetus, and other learned men ; and, after paffing the whole day in the meanelf drudgery, he fpent the night in writing. He com- pofed, by the help of his memory alone, treatifes filled with quotations, which he dedicated to the Imperial and French ambaffadors. Thefe minifters, moved by compaffion for this learned man, refolved to purchafe 3 F 2 hi* MAG [ 412 1 MAG Maggot- him: but while they were treating for his ranfom, ‘"“■'V—'"' Maggi found means to make his efcape, and to get to the Imperial ambaffador’s houfe ; when the ‘ Grand , Vizir being enraged at his flight, and remembering the great mifchief he had done the Turks during the fiege of Famagufta, fent to have him fiezed, and caufed him to be ftrangled in prifon in 1572. His principal works are, i. A treatife on the bells of the ancients. 2. On the deftru&ion of the world by fire. 3. Commentaries on iEmilius Probus’s lives of illu- flrious men. 4. Commentaries on the inftitutes. Thefe works are written in elegant Latin. He alfo wrote a treatife on fortification in Italian; and a book on the fituation of ancient Tufcany. He ought not to be confounded with his brother Bartholomew Maggi, a phyfician at Bologna, who Wrote a treatife of gun-fhot wounds ; nor with Vincent Maggi, a native of Brefie, and a celebrated profeffor of humanity at Ferrare in Padua, who was the au¬ thor of feveral works. MAGGOT, the common name of the fly-worm bred in flefh, from the egg of the great blue flefh-fly. Notwithftanding the diftalle for this animal, its figure and ftrutture of parts are greatly worth attending to; and may ferve as a general hiflory of the clafs of worms produced from the eggs of flies. This animal is white and flefliy : its body is com- pofed of a number of rings, like the bodies of cater¬ pillars and other fimilar infe&s; and is capable, at the pleafure of the animal, of affuming differenc figures ; being at times more or lefs extended in length, and confequently more or lefs thick. Notwithftanding that this animal has no legs, it is able to move itfelf very fwiftly ; and in its firft attempt . to move its body, is extended to its greateft length, and affumes fomething of the figure of a pointed cone. The pointed part of the cone is the head of the ani¬ mal, and is not feparated from the next ring by any deeper furrow than the reft of the rings are from one another. In fome ftates of the animal, one may fee two fhort horns thmft out from the head ; but more enerally two fcaly hooks are obfervable: thefe are, owever, fometimes hid, and have each of them a cafe or (heath; into which the animal can retraft them at pleafure. Thefe hooks are bent into an arch, the con¬ cavity of which is towards the plane on which the crea¬ ture is placed; and they are thickeft at their infer- tion in the head, and thence diminifti gradually, till they terminate in a fine {harp point. Thefe two hooks are placed in a parallel dire&ion, and can never come together, and therefore cannot ferve in the place of teeth for grinding the food ; but merely to pull and fever it in pieces, that it may be of a proper fize for the mouth of the creature. Befides thefe hooks the maggot has a kind of dart, which is about a third part of their length, and is placed at an equal diftance between them. This alfo is brown and fcaly like them ; it is quite ftraight, and terminates in a fine point. Fhe hooks have as it were two fcaly thorns at their points ; and this dart feems intended, by reiterated ftrokes, to divide and break the pieces of flefli thefe have feparated from the reft into fmaller parts. Immediately below the apertures for the egrefs of the hooks, is placed the mouth of the animal; the creature does not {how this little opening unlefs pref- fed : but if the preffurc is properly managed, it wilt fufficiently open it, and there may be difeovered with- i Mag:, in it a fmall protuberance, which may very naturally be fuppofed either the tongue or the fucker of the ani¬ mal. The hooks in thefe creatures not only fupply the place of teeth, but alfo of legs; fince it is by fa¬ ttening thefe hooks into the fubftance it is placed on,, and-then drawing up its body to it, that it pulls itfelf. along. The back of this creature lowers itfelf by degrees aa it approaches the extremity of the belly; and near the place where the back begins to lower itfelf, are placed, the creature’s two principal organs of refpiration. One may perceive there two fmall roundifh brown fpots:. they are very eaiily diftinguilhable by the naked eye,- becaufe the reft of the body of the creature is white ^ but if we take in the afiiltance of glafles, each of thefii fpots appears to be a brown circular eminence raifed- a little above the reft of the body. On each of thefe- fpots one may alfo d; Lover three oblong oval cavities, fomething of the fhape of button-holes ; thefe are ii- tuated in a parallel direction to one another, and their length nearly in a perpendicular dire&ion to that of the body of the animal. Thtfe apertures are fo many ftigmata or air-holes ; openings deftined to admit the air neceffary to the life of the animal. It has fix of thefe .ftigmata, three in each fide of its body. The great tranfparency of the body of this animal gives us an opportunity alfo to diftinguiflr that it has on each fide a large white velfel running the whole length of the body. It is eafy to follow the courfe of thefe veffels through their whole length, but they are, moft diftinft of all towards its hinder part; and they, are always feen to terminate each in the brown fpot above mentioned: this leaves us no room to doubt that they are the two principal trachese. The ramifications of the two great trachese are very beautifully feen in this creature, efpecially on its belly; and it is remarkable, that no velfel analogous to the great artery in the caterpillar clafs can be difeover¬ ed in thefe; though, if there were any. fuch, their great tranfparence mutt needs make them very eafily diftin- guifhable ; nor could its dilatations and contradfions,, if fo confiderable as in that clafs of animals, be lefs fo. See Eruca. Malpighi imagined, that this artery in the caterpil¬ lar clafs was a feries of hearts; in its place, however,, there may be feen in thefe animals a true heart. It is eafy to obferve in thefe creatures* about the fourth ring of their body, a fmall fleftiy part, which has al¬ ternate contrattions and dilatations ; and is not only difcoverable in the body by means of its .tranfparence, but on making a proper fedtion of them in the fecond,. third, and fourth, will be thrown out of the body of the creature, and continue its beats for fome time af¬ terwards. MAGI, or Magians, an ancient religious feft in Perfia, and other eaftern countries, who maintained that there were two principles, one the caufe of all good, the other the caufe of all evil: and, abominating the adoration of images, they worihipped God only by fire ; which they looked upon as the brighteft and moft glorious fymbol of Oromafdes, or the good God; as darknefs is the trueft fymbol of Arimanius, or the evil god. This religion was reformed by Zoroafter, who main- MAG l 4 Wag's, maintained that there was one fupreme independent '•“-v— Being ; and under him two principles or angels, one the angel of goodnefs and light, and the other of evil and darknefs: that there is a perpetual ftruggle be¬ tween them, which (hall laft to the end of the world ; that then the angel of darknefs and his difciples ftiall go into a world of their own, where they (hall be pu¬ nched in everlafting darknefs; and the angel of light and his difciples (hall alfo go into a world of their own, where they (hall be rewarded in everlalting light. The priefts of the magi were the moft Ikilful ma¬ thematicians and philofophers of the ages in which they lived, infomuch that a learned man and a magian became equivalent terms. The vulgar looked on their knowledge as fupernatural; and hence thofe who prac- tifed wicked and mifchievous arts, taking upon them- felves the name of magiar/s, drew on it that ill fig- nilication which the word magician now bears a- tnong us. This fe& ft ill fubfifts in Perfia under the denomina¬ tion of gaursy where they watch the facred fire with the greateft care, and never fuffer it to be extinguifn- cd. MAGIC, Magia, Mateia, in its ancient fenfe,. the fcience or difcipline and do&rine of the magi, or wife men of Perfia. See Magi. The origin of magic and the magi is afcribed to Zoroafter. Salmafius derives the very name from Zo- roailer, who, he fays, was fui named Mogy whence Magus. Others, inftead of making him the. author of the Perfian philofophy, make him only the reftorer and improver thereof; alleging, that many of the Per¬ fian rites in ufe among the magi were borrowed from, the Zabii among the Chaldeans, who agreed in many tilings with the magi of the Perfians; whence fome make the name magus common both to the Chaldeans and Perfians. Thus Plutarch mentions, that Zoroafter inftituted magi among the Chaldeans, in imitation whereof the Perfians had theirs too.. Magic, in a more modern fenfe, is a fcience which teaches to perform wonderful and furprifing effects. . The word magic originally carried with it a very innocent, nay, laudable meaning ; being ufed purely to fignify the ftudy of wifdom, and the more fublime parts of knowledge ; but in regard the ancient magi engaged themfelves in aftrology, divination, forcery, &c; the term magic in time became odious, and was only ufed to fignify an unlawful and diabolical kind of fcience, depending on the affiftance of the devil and departed fouls. If any wonder how fo vain and deceitful a fcience fhould gain fo much credit and authority over mens minds, Pliny gives the reafon of it. It is, fays he, becaufe it has pofTeffed itfelf of three fciences of the moft efteem among men ; taking from each all that is great and marvellous in it. Nobody doubts but it. had its firft origin in medicine j and that it infmuated itfelf into the minds of the people, under pretence of affording extraordinary remedies. To thefe fine pro- mifes it added every thing in religion that is pompous and fplendid, and that appears calculated to blind and captivate mankind. Laftly, it mingled judicial aftro¬ logy with the reft ; perfuading people, curious of fu¬ turity,, that it faw every thing to come in the heavens,. 13 } M A G Agrippa divides magic into three kinds 5 natural, ce- Migie- leftial, and ceremonial or fuperftitious. ——y— Natural Magic is no more than the application of natural adlive caufes to paffive fubjedls; by means whereof many furprifing, but yet natural, effedls are produced. In this way many of our experiments in natural philofophy, efpecially thofe of eledlricity, optics, and magnetifm, have a kind of magical appearance, and among the ignorant and credulous might eafily pafe for miracles. Such, without doubt, have been fome of thofe miracles wrought by ancient magicians, whofe knowledge of the various powers of nature, there is reafon to believe, was much greater than modern va-. nity will fometimes allow f. | See Baptifta Porta has a treatife of natural magic, or ling fleet's of fecrets for performing very extraordinary things by Orpines fe¬ ll at ural caufes. The natural magic of the Chaldeans-‘'T‘e’boo*i was nothing but the knowledge of the. powers of6'2* fimples and minerals. The magic which they called theurgia, confifted wholly in the knowledge of the cere- moniesto be obfervedin the worfhipof the gods, in or¬ der to be acceptable. By virtue of thefe ceremonies they believed they could .converfe with fpiritual beings, and cure difeafes. Celtjlial Magic, borders nearly on judiciary aftro- logy : it attributes to fpirits a kind of rule or domi¬ nion over the planets, and to planets a dominion over men ; ^nd on thofe principles builds a ridiculous kind . of fyftem. See Astrology. Superjlitious or. Gaelic Magic, confifts in the invo¬ cation of devils. Its effetts are ufually evil and wick¬ ed, though very ftrange, and feemingly furpaffing the powers of nature ; fuppofed to be produced by virtue of fome compact, either tacit or exprefs, with evil fpi¬ rits : but the truth is, thefe have not all the power that is ufually imagined, nor do they produce thofe effefts ordinarily afcribed to them. This fpecies of magic, there is every reafon to be¬ lieve, had its origin in Egypt, the native country of paganifm. The firft magicians. mentioned in hiliory were Egyptians; and that people fo famed for early wifdom believed not only in the exiftence of daemons, the great agents in magic (fee Daemon), but alfo that different orders of thofe fpirits prefided over the ele¬ ments of earth, air, fire, and water, as well as over the - perfons and affairs of men. Hence they afcribed every difeafe with which they were afflifted to the immedi¬ ate agency of fome evil daemon. When any perfon was feized with a fever, for inftance,. they did not think it neeeffary to fearch for any natural caufe of the dif¬ eafe ; it was immediately attributed to fame daemon which had taken poffeffion of the body of the patient, and which could not be cje&ed but by charms and in¬ cantations. Thefe fuperftitious notions, which had fpread from Egypt over all the eaft, the Jews imbibed during their captivity in Babylon. Hence we find them in the writings of the New Teftament attributing almoft eve¬ ry difeafe to which they were incident to the immedi¬ ate agency of devils (fee Possession). Many of the fame impious fuperftitions were brought from E- gypt and Chaldea by Pythagoras, and tranfmitted by him and his followers to the Platoaifts in Greece. This MAG [ 4H ] MAG is apparent from the writers of the life of Pythagoras. ■“~v Jamblicus, fpeaking of the followers of that philofo- pher, fays exprefsly, that they cured certain difcafes by incantations ; and Porphyry adds, that they cured difeafesboth of the rnind and of the body by fongs and incantations. This was exaftly the practice of the Egyptian pfiefts, who were all fuppofed to keep up a conftant intercourfe with daemons, and to have the power of controuling them by magical charms and fa- cred fongs. Agreeably to this practice of his mailers, we are told that Pythagoras directed certain difeafes of the mind, doubtlefs thofe which he attributed to :the agency of daemons, to be cured partly by incanta¬ tions, partly by magical hymns, and partly by mujic.— r.a.1 tz; vorrsuvtaf Tccps/uuSulo TOV( piiv ixcifuif X.CC1 ftcc- yucuc rovs if ftovo-ix.*. That there’ are different orders of created fpirits,— whether called daemons or angels,—whofe powers in- telledtual and active greatly furpafs the powers of man, reafon makes probable, and revelation certain. Now it was the univerfal belief of the ancient nations, fays f See His e- the learned Moiheim f, and efpecially of the orientals, that certain founds and words, for the moil part bars- barous, were highly grateful, and that others were equally difagreeable, to thefe fpirits. Hence, when they wiihed to render a daemon propitious, and to em¬ ploy him on any particular office, the magicians com- pofed their facred fongs of the words which were be¬ lieved to be agreeable to him ; and when it was their intention to drive him from themfelves or others, they fung in a ftrain which they fancied a daemon could not hear but with horror. From the fame perfualion arofe the cuftom of fufpending from .the neck of a Tick per- fon, whofe difeafe was fuppofed to be infli&ed by a daemon, an amulet, fometimes made of gold and fome- times of parchment, on which was written one or more of thofe words which daemons could not bear either to hear or to fee : and in a didactic poem on the healing art Hill extant, we are taught by Serenus Sammonicw, that the word Abracadabra is an infallible remedy for a femitertian fever or ague ; and to banifh grief of heart, Marcellims thinks nothing more effectual than the word In more modern times, as we are informed by Agrippa, the words ufed by thofe in com¬ pact with the devil, to invoke him, and to fucceed in what they undertake, arcq Dies, mies, jefquet, benedoe- fet, douvima, enitemaus. There are an hundred other formulas of words compofed at pleafure, or gathered from feveral different languages, or patthed from the Plebrew, or formed in imitation of it. And among the primitive Chriftians there was a fuperftitious cuf tom, of which we fufpedt fame remains may yet be found among the illiterate-vulgar in different countries, of fattening to the neck of a lick perfon, or to the bed on which he lay, fome text from the New Tefta- ment, and efpecially the firtt two or three verfes of the gofpel of St John, as a charm undoubtedly effi¬ cacious to banilh the difeafe. That magicians who could thus cure the lick, were likewife believed to have the power of inflidling dif¬ eafes, and of working miracles, by means of their fub- fervient daemons, need not be doubted Ancient wri¬ ters of good credit are full of the wonders which they performed. We lhall mention a few of thofe which are bell attefted, and inquire whether they might not dition of Cudivortb’s IntelleSiual Syjlem. have been effe&ed by other means than the interpofition of daemons. The firft magicians of whom we read’ are thofe who in Egypt oppofed Mofes. And we are told, that, when Aaron call down his rod, and it became a fer- pent, they alfo did the like with their inchantments ; “ for they call down every man his rod, and they be¬ came ferpents.” This was a phenomenon which, it mutt be confeffed, had a very miraculous appearance ; and yet there feems to have been nothing in it which might not have been effefted by flight of hand. The Egyptians, and perhaps the inhabitants of every coun¬ try where ferpents abound, have the art of depriving them of their power to do mifchief, fo that they may be handled without danger. It was eafy for the magi¬ cians, who were favoured by the court, to pretend that they changed thcTV roads into ferpents, by dexterouf- ly fubftituting one of thofe animals in place of the rod. In like manner they might pVetend to change water into blood, and to produce frogs ; for if Mofes gave in thefe inftances, as we know he did in others, any previous information ofr the nature of the miraclea which were to be wrought, the magicians might eali-r ly provide themfelves in a quantity of blood and num¬ ber of frogs fufficient to anfwer their purpofe of de¬ ceiving the people. Beyond this, however, their power could not go. It Hopped where that of all workers in legerdemain mutt have ftopt—at the failure of proper materials to work with. Egypt abounds' with ferpents; blood could be eaftty procured; and without difficulty they might have frogs from the ri¬ ver : But when Mofes produced lice from the dull of the ground, the magicians, who had it not in their power to collect a fufficient quantity of thefe animals, were compelled to own this to be an effeft of divine agency. The appearance of Samuel to Saul at Endor is the neXt miracle, feemingly performed by the power of ma¬ gic, which we Ihall confider. It was a common pre¬ tence of magicians, that they could raife up ghofts from b.elow, or make dead perfsns appear unto them to declare future events ; and the manner of their in¬ cantation is thus deferibed by Horace : Pallor utrafque Fecerat horrendas afpedttu. Scalpere terram Unguibus, et pullam divellere mordicus agnam Coeperunt: cruor in foffam confufus, ut inde Manes elicerent, animas refponfa daturas. “ With yellings dire they fill’d the place, And hideous pale was cither’s face. Soon with their nails they ferap’d the ground. And fill’d a magic trench profound With a black lamb’s thick-ftreaming gore, Whofe members with their teeth they tore ; That they might charm the fprights to tell Some curious anecdotes from hell.” Francis. Whether the witch of Endor made ufe of fuch infer¬ nal charms as thefe, the facred hiftorian has not in¬ formed us; but Saul addreffed her, as if he believed that by fome form of incantation fhe could recal from the ftate of departed fpirits the foul of the prophet who had been for fome time dead. In the fubfequent apparition, however, which was produced, fome Mlgifo MAG [41 Magic, fome have thought there was nothing more than a "—v-— trick, by which a cunning woman impofed upon Saul’s credulity,-making him believe that fome confident of her own was the ghoft of Samuel. But had that been the cafe, fhe would undoubtedly have made the pretend¬ ed Samuel’s anfwer as pleafing to' the king as pofiible, both to fave her own life, which appears from the con¬ text to have been in danger, and likewife to have pro¬ cured the larger reward. She would never have told her fovereign, (he durft not have told him, that he himfelf (hould be (hortly (lain, and his fons with him ; and that the holt of Ifrael (hould be delivered into the hands of the Philiftines. For this reafon many critics, both Jewiflr and Chriltian, have fuppofed that the ap¬ parition was really a daemon or evil angel, by whofe afiiilance the woman was accuftomed to work wondersj and to foretel future events. But it is furely very incredible, that one of the apoftate fpirits of hell (hould have upbraided Saul for applying to a forcerefs, or fhould have accofted him in fuch words as thefe: “Why had thou difquieted me, to bring me up ? Wherefore doll thou a (It of me, feeing the Lord is departed from thee, and is become thine enemy ? For the Lord hath rent the kingdom out of thine hand, and given it to thy neighbour, even to David. Becaufe thou obeydeft not the voice of the Lord, therefore the Lord hath done this thing to thee this day.” It is to be obferved far¬ ther, that what was here denounced againft Saul was really prophetic, and that the event anfwered to the prophecy in every particular. Now, though we do not deny that there are created fpirits of penetration vaftly fuperior to that of the moft enlarged human un- derftanding ; yet we dare maintain, that no finite intel¬ ligence could by its own mere capacity have ever found out the precife time of the two armies engaging, the fuccefs of the Philiftines, the confequences of the victory, and the/cry names of the perfons that, were to fall in battle. Saul and his fons were indeed men of tried bravery, and therefore likely to expofe them- felves to the greateft danger ; but after the menaces which he received from the apparition, he would have been impelled, one (hould think, by common prudence, either to chicane with the enemy, or to retire from the field without expofing hirtifelf, his fons, and the whole army, to certain and inevitable deftruftion ; and his adfing differently, with the confequences of his conduft, were events which no limited underftanding could either forefee or certainly foretel.- If to thefe circumftances we add the fuddennefs of Samuel’s ap¬ pearance, with the effeft which it had upon the for¬ cerefs herfelf, we (hall find reafon to believe, that the apparition was that of no evil daemon. There is not, we believe, upon record, another inftance of any per- fon’s pretending to raife a ghoft from below, without previoufly ufing fome magical rites or fome form of incantation. As nothing of that kind is mentioned in the cafe before us, it is probable that Samuel appear¬ ed before he was called. It is likewife evident from 3 j ] MAG the narrative, that the apparition was not what the M-if woman expe&ed; for we are told, that “ when (he —~v faw Samuel, (he cried out for fear.” And when the king exhorted her not to be afraid, and allied what (lie faw, “ the woman faid, I fee gods (eloh'm) afeending out of the earth.” Now, had (he been accuftomed to do fuch feats,, and known that what (he faw was only her fubfervient daemon, it is not conceivable that (he could have been fo frightened, or have miftaken her familiar for elohim in any fenfe in which that word can be taken. We are therefore ftrongly inclined to adopt the opinion of thofe who hold that it was Samuel him¬ felf who appeared and prophefied, not called up by the wretched woman or her demons, but, to her utter confufion, and the difgrace of her art, fent by God to rebuke Saul’s madnefs in a moft affecting and mor¬ tifying way, and to deter all others from ever ap¬ plying to magicians or dsemons for affiftance when re- fufed comfort from heaven. For though thishypo- thefis may to a fuperficial thinker feem to tranfgreis the rule of Horace—Nec deus inierjit, &c.—which is as applicable to the interpretation of feripture, as to the introduction of fupernatural agency in human com- pofitions; yet he who has ftudied the fheocratical con- ftitution of Ifrael, the nature of the office which was there termed regal, and by what means the admi- niftration was in emergencies conducted, will have a different opinion, and-at once perceive the dignus vlndice nodus. The fudden and wonderful deftruCtion of the army of Brennus the Gaul, has likewife been attributed to- magic, or, what in this inquiry amounts to the fame- thing, to the interpofition of evil fpirits, whom the priefts of Apollo invoked as gods. Thofe barbarians had made an inroad into Greece, and invefted the temple of Apollo at Delphi, with a view to plunder it of the facred treafure. Their numbers and courage over¬ powered all oppofition ; and they were juft upon the point of making themfelves matters of the place, when, Juftin informs us, that, to encourage the befieged, the priefts and prophetefs “ adveniffe deum clamant; eum- que fe vidiffe defilientem in templum per culminis a- perta faftigia. Dum omnes opem dei fuppliciter im- plorant, juvenem fupra humanum modum infignis pulchritudinis, comitefque ei duas armatas virgines,, ex propinquis duabus Diance -Minervaeque aedibus oc- curriffe, nec oculis tantum haec fe perfpexiffe; audiffe etiam ftridorem arcus, ac ftrepitum armorum : pro- inde ne cunCfarentur, diis antefignanis, hoftem caedere, . et viCforise deorum. fpcios fe adjungere,” fummis obfe- crationibus monebant, Quibus vocibus incenfi, omnes certatim in praelium profiliunt. Praefentiam Dei et ipfi ftatim fenfere : nam et terras motu portio mentis abrupta Gallorum ftravit exercitum, et confertiffimi cunei non fine vulneribus hoftium diffipati ruebant. Infecuta deinde tempeftas eft, quae grandine et frigorc faucios ex vulneribus abfumpfit (a).” This was unqueftionably an extraordinary event; and “ (a) Called aloud that the god had arrived . That they had feen him leap into the temple through the aper¬ ture in the roof: That whilft they were all humbly imploring his help, a youth of more than human beauty, accompanied by two virgins in armour, had run to their affiftance from the neighbouring temples of Diana and K! A G r 4 Magic. -anA it mufl; be afcribed either to the immediate inter- t'1 ' » pofition of the Supreme Being, to natural means, or to the agency of daemons: there is no other alterna¬ tive. But it is altogether incredible that the Supreme Being (hould'have miractiloufly interpofed to defend the temple of a pagan divinity. It is very difficult to fuppofe that an earthquake, produced in the ordinary tourfe of nature, Ihould have been foretold by the priefts, or that it could have happened fo opportunely for the prefervation of their treafure from the hands •of fierce babarians. Nothing, therefore, it has been faid, remains, but either to allow the earthquake to have been produced by evil fpirits, or to deny the truth of the hiftorian's relation. But the cataftrophe of Brennus’s army is recorded in the fame manner by fo many ancient writers of good credit, that we can¬ not call in queflion their veracity: and therefore, be¬ ing unwilling to admit the agency of daemons into this affair, it will be incumbent on us to ffiow by what human contrivance it might have been effefted ; for its arrival at fo critical a junfture will not eafily fuffer us to fuppofe it a mere natural event. The inclination of a Pagan prieft (fays Bifhop Julian. Warburton'f) to affift his god in extremity, will hardly be queftioned ; and the inclination of thofe at Delphi wzi wot ill feconded by their public manage¬ ment and addrefs. On the firft rumour of Brennus’s march againft them, they iffued orders, as from the • oracle, to all the region round, forbidding the coun¬ try people to fecrete or bear away their wine and pro- vifions. The effects of this order fucceeded to their expeftations. The half-ftarved barbarians finding, on their arrival in Phocis, fo great a plenty of all things, made fhort marches, difperfed themfelves over the country, and revelled in the abundance that was pro¬ vided for them. This refpite gave time to the friends and allies of the god to come to his affiftance. Their advantages of fituation likewife fupported the meafures which they had taken for a vigorous defence. The town and temple of Delphi were feated on a bare and cavernous rock, defended on all Tides with precipices •initead of walls. A large recefs within affumed the •form of a theatre ; fo that the ffiouts of foldiers, and 'the founds of military inftruments, re-echoing from xock to rock, and from cavern to cavern, increafed the clamour to an immenfe degree ; which, as the hifto- rian obferves, could not but have great effedls on ig- N° 191- 16 1 M A Cr norant and barbarous minds. The playing off thefe Magic, panic terrors was not indeed of itfelf fufficient to re r- pulfe and diffipate a hoft of fierce and hungry invaders, but it enabled the defenders to keep them at bay till a more folid entertainment was provided for them, in the explojion and fall of that portion of the rock at the foot of which the gteater part of the army lay en¬ camped. “ Among the caverns in the facred rock, there was one which, from an intoxicating quality difeovered in the fleam which iffued from it, was rendered very famous by being fitted to the recipient of the prieftefs of Apollo (a). Now, if we only fuppofe this, or any other of the vapours emitted from the numerous fif- fures, to be endowed with that unftuous, or otherwife inflammatory quality, which modern experience iliows to be common in mines and fubterraneous places, wfl can eafily conceive how the priefts of the temple might, without the agency of daemons, be able to work the wonders which hiftory fpeaks of as effefted in this tranfaftion. For the throwing down a lighted torch or two into a chafm whence fuch a vapour iffued, would fet the whole into a flame; which, by fuddenly rarifying and dilating the air, would, liked fired gun-powder, blow up all before it. That the priefts, the guardians of the rock, could be long ignorant of fuch a quality, or that they would divulge it when difeovered, cannot be fuppofed. Strabo re¬ lates, that one OnomarchuS) with his companions, as they were attempting by night to dig their way through to rob the holy treafury, were frightened from their work by the violent (baking of the rock ; and he adds, that the fame phenomenon had defeated many other attempts of the like nature. Now, whe¬ ther the tapers which Onomanhus and his companions were obliged to ufe while they were at work, inflamed the vapour, or whether the priefts of Apollo heard them at it, and fet fire to a countermine, it is certain a quality of this kind would always ftand them in (lead. Such then (prefumes the learned prelate) was the expe¬ dient ( b ) they employed to diftodge this neft of hornets, which had fettled at the foot of their facred rock 5 for the ftorm of thunder, lightning, and hail, which fol¬ lowed, was the natural effedl of the violent concuffions given to the air by the explofion of the mine.” Two inftances more of the power of ancient ma gic we (hall juft mention, not becaufe there is any thing ’and Minerva ; and that they had not only beheld thefe things with their eyes, but had alfo heard the whizzing of his bow and the clangor of his arms. They therefore earneftly exhorted the befieged not to neglect the ■heavenly fignal, hut to Tally out upon their enemies, and partake with the divinities of the glory of the vie- -tory.” With thefe words the foldiers being animated, eagerly rufhed to battle : and were themfelves quickly fenfible of the prefence of the god ; for part of the rock being torn away by an earthquake, rolled down upon the Gauls ; whofe thickeft battalions being thus thrown into confuiion, fled, expofed to the weapons of their enemies. Soon afterwards a temped arofe, which by cold and the fall of hailftones cut off the wounded. (a) “ In hoc rupis anfraftu, mediaferme montis altitudine, planities exigua eft, atque in ea profundum terrae foramen, quod in oraculo patet, ex quo frigidus fpiritus, vi quadam velut vento in fublime expulfus, mentes vatum in vecordiam vertst, impletafque deo refponfa confulentibus dare cogit.” Just. lib. 24. c. 10.^ (b) The learned author, by arguments too tedious to be here enumerated, confirms the reatoning which we have borrowed from him ; and likewife fhowB from hiftory, that the priefts, before they came to extremities with the facred rock, had entered into treaty with thofe barbarians, and paid them a large tribute to decamp and quit the country. This adds greatly to the probability of his account of the explofion ; for nothing but the abfolute impoffibility of getting quit of their befiegers by any other means, could have induced the prieft* to hazard an experiment fo big with danger to themfelves as well as to their enemies. Migic. f See Pri- iteaux's Con- Brocket's Uijtory of Philofofby, and Mo- Jbeim's Notes cn Cud- MAG r 41 tiling particular or important in the fa ft s, but becaufe fome credit feems te have been given to the narration by the difeerning Cudworth. Philollratus, in his life of Apollonius Tyanaeus, informs us, that a laughing Demmiac at Athens was cured by that magician, who ejefted the evil fpirit. by threats and menaces; and the biographer adds, that the daemon, at his de- Sarture, is -faid to have overturned a ftatue which ood before the porch where the cure was perform¬ ed. The other inftance is of the fame magician free¬ ing the city of Ephefus from the plague by Honing to death an old ragged beggar whom Apollonius called the plague, and who appeared to be a damon by his changing himfelf into the form of a Jhagged dog. That fuch tales as thefe rtiould have been thought worthy of the flighteft notice by the incomparable au¬ thor of the Intelleftual Syftem, is indeed a wonderful phaenomenon in the hiftory of human nature. The whole ftory of Apollonius Tyanasus, as is now well known, is nothing better than a colleftion of the moil extravagant fables but were the narrative fuch •as that credit could be given to the fafts here related, there appears no neceffity in either cafe for calling in the agency of evil fpirits by the power of magic.— The Athenians of that age were a fuperftitious peo¬ ple. Apollonius was a flirewd impoitor, long prac- 1 tifed in the art of deceiving the multitude. For fuch a man it was eafy to perfuade a friend and confidant . to aft the part of the laughing demoniac ; and without much difficulty the ftatue might be fo undermined as inevitably to tumble upon a violent concuffion being given to the ground at the time of the departure of the pretended dsemon. If fo, this feat of magic dwindles down into a very trifling trick performed by means both Ample and natural. The other cafe of the poor man at Ephefus, who was Honed to death, is exaftly fimilar to that of thofe innocent wo¬ men in our own country, whom the vulgar in the laft century were inftigated to burn for the fuppofed crime of witchcraft. We have no reafon to fuppofe that an Epheflan mob was lefs inflammable or credu¬ lous than a Britifh mob, or that Apollonius played his part with lefs (kill than a Chriftian daemonologift : and as the fpirits of our witches, who were facri- ficed to folly and fanaticifm, were often fuppofed to migrate from their dead bodies into the bodies of hares or cats accidentally palling by, fo might this impoftor at Ephefus perfuade his cruel and credulous inftru- ments, that the fpirit of their viftim had taken poflef- fion of the body of the Jhagged dog. Still it may be faid, that in magic and divination e- vents have been produced out of the ordinary courfe of nature ; and as we cannot fuppofe the Supreme Being to have countenanced fuch abominable praftices by the interpofttion of his power, we muft neceffarily attribute thofe effefts to the agency of daemons, or evil fpirits. Thus, when Aineas confulted the. Sybil, the agency of the infpiring god changed her whole appearance : Pofcere fata Tempus,” ait: “ Deus,ecce,Deus.” Cui talia fanti Ante fores, fubi’to non vultus, non color unus, Non comptae manfere comae : fed peftus anhelum, Et rabie fera corda tument: majorque videri, Vol. X. Part II. 7 ] MAG Nec mortale fonans: afflata eft numine quando Magic. Jam propiore Dei. ' v “ Aloud Ihe cries, “ This is the time, inquire your deftinies. He come-, behold, a god!” Thus while fhe faid. And fhivering at the facred entry ftaid, Her colour chang’d, her face was not the fame, And hollow groans from her deep fpirit came : Her hair ftood up ; convulfive rage poflefs’d Her trembling limb -, and heav’d her lab’ring breaft; Greater than human kind fhe feem’d to look, And with an accent more than mortal fpoke. Her flaring eyes with fparkling fury roll, When all the God came rufhiog on her foul.” Dryden. •In anfwer to this, it is to be obferved, that the temple of Apollo at Cumas was an immenfe excava¬ tion in a fqlid rock. The rock was probably of the fame kind with that on which the temple of Delphi was built, full of fiflures, out of which exhaled per¬ petually a poifonous kind of vapour. Over one of thefe fiflures was the tripod placed, from which the prieftefs gave the oracle. Now we learn from* St Chryfoftom, that the prieftefs was a woman : “ Qme intripodes fedens expanfa malignumfpiritumper interna immiflum, et per genitales partes fubeuntem excipiens, furore repleretur, ipfaque refolutis crinibus bacchare- tur, ex ore fpumam emittens, et fic furoris verba loque- batur.” By comparing this account with that quo¬ ted above from Jullin, which is confirmed both by Paufanias and by Strabo, it is evident, that what Chryfoftom calls maliynum fpiritum was a particular kind of vapour blown forcibly through the fiflure of the rock. But if there be a vapour of fuch a quality as, if received per partes genitales, would make a woman- furious, there is furely no neceffity for calling intot this feene at Cumse the agency of a daemon or evil fpi¬ rit. Befides, it is to be remembered, that in all my- ftical and magical rites, fi|ch as this was, both the priefts’ and the perfons confulting them prepared themfelves by particular kinds of food, and fometimes, as there is reafon to believe, by human facrificesj, for j vide the approach of the god or daemon whole aid they in-cani Pbarfa- voked. On the prefent oceafion, we know from the^“’^^j U poet himfelf, that a cake was ufed which was compo- ’q.J™ jy,' fed of poppy-feed and honey ; and Plutarch fpeaks ofi, ’ a Ihrub called leucophyllus, ufed in the celebration of the myfteries of Hecate, which drives men into a kind ( of frenzy, and makes them confefs all the wickednefs which they had done or intended. This being the cafe, the illufions of fancy occaiioned by poppy will fufficiently account for the change of the fybil’s ap¬ pearance, even though the inhaled vapour Ihould nob have poflefled that efficacy which Chryfoftom and Juftin attribute ,to it. , Even fome forts of our Ordi¬ nary food occafipn ftfange dreams, for which onions in particular are remarkable. Exceffive drunkennefs, as is well known, produces a diforder named by the bacchanalians of this country the blue devils, - which confifts of an immenfe fueceffion of fpeftres, accompa¬ nied with extreme , horror to the perfon who fees them. From thefe fafts, which cannot be denied, there muft arife a fufpicipn, that by ufing- vejy unna¬ tural food, fuch as human blood, the vileft of infefts, 3 G ferpents. MAG £ 4 Magic, ferpents, and medicated cakes, by (hutting themfelves —-y—up in folitudes and caves, and by devifing every me¬ thod to excite horrid and dreadful ideas or images in the fancy, the ancient magicians might by natural means produce every phenomenon which they attri¬ buted to their gods or demons. Add to this, that in ancient times magic was ftudied as a fcience. Now, as we cannot fuppofe that every one who ftudied it intended abfolutely nothing, or that all who believed in it were wholly deceived ; what can we infer, but that the fcience conlifted in the knowledge of thofe drugs which produced the phantoms in the imagina¬ tion, and of the method of preparing and properly employing them for that purpofe ? The celebrated Friar Bacon indeed, as far back as the 13th century, wrote a book de Nullitute MagU: but though we Ihonld allow that this book proved to demonftration, that in his time no fuch thing as magic exifted, it never could prove that the cafe had always been fo. At that time almoft all the fciences were loft ; and why not magic as well as others ? It is likewife an undoubted fa£t, that magic at all times prevailed among the A- Jiatics and Africans more than among the Europeans. The reafon doubtlefs was, that the former had the re- quifites for the art in much greater perfection than we. Human facriftces were frequent among them; they had the moft poifonous ferpents, and the greateft va¬ riety of vegetable poifons, together with that power- 1 ful narcotic opium ; all which were of effential ufe in tnyftical and magic rites. They had, befides, a burn¬ ing fun, frightful defarts and folitudes ; which, toge¬ ther with extreme failing, were, all called into their affiftance, and were fufficient to produce, by natural means, the moft wonderful phenomena which have ever been attributed to magical incantations. Even in our own days, we have the teftimony of two travellers, •whom we cannot fufpedt to be either liars or enthufi- afts, that both the Indians and Africans perform' feats for which neither they nor the moft enlightened Eu¬ ropeans can account. The one is Mr Grofe, who vi- fited the Eall Indies about the year 1762 t and the other is Mr Bruce, who informs us, that the inhabi¬ tants of the weftern coail of Africa pretend to hold a communication with the devil, and verify their affer- tions in fuch a manner that neither he nor other tra¬ vellers know what to make of it: but it does not from this follow, that Mr Bruce believed that communica¬ tion to be real- We have all feen one of the moft il¬ literate men that ever affumed the title of DoSor, per¬ form feats very fuvpriftng, and fuch as even a philo- fopher would have been puzzled to account for, if he had not been previoufty let into the fecret; and yet no man fuppofes that Katterfelto holds any communica¬ tion with the devil, although he has fometimes pre¬ tended it among people whofe minds lie fuppofed un¬ enlightened. Still it may be objefted, that we have a vaft num¬ ber of hiftories of witches, who in the laft century confeffed, that they were prefent with the devil at cer¬ tain meetings; that they were carried through the air, and faw many ftrange feats performed, too numerous and too ridiculous to be here mentioned. The beft 8 ] MAG anfwer to this ebje&ion feems to be that given by Dr Magic. Ferrier in his effay on Popular Illdftons *. “ The fo- lemn meeting of witches (fays he) are fuppofed to be Manch,aer put beyond all doubt by the numerous confeffions of Tranfuc- criminals, who- have defcribed their ceremonies, named tiom, vol. 3, the times and places of their meetings with the per- fons prefent, and who have agreed in their relations, though feparately delivered. But I would obferve, firft, that the circumftances told of thofe feftivals are in themfelves ridiculous and incredible ; for they are reprefehted as gloomy and horrible, and yet with a mixture of childilh and extravagant fancies, more like¬ ly to difgull and alienate than conciliate the minds of their guefts. They have every appearance of un- eafy dreams. Sometimes the devil and his fubjedts fay mafs ; fometimes he preaches to them ; more com¬ monly he was feen in the form of a black goat, fur- rounded by imps in a thoufand frightful (hapes} but none of thefe forms are new, they all refemble known, quadrupeds or reptiles. Secondly, I obferve, that there is dire& proof furnijhed even by demonologiils, that all thofe fuppofed journeys and entertainments were no¬ thing more than dreams. Perfops accufed of witch¬ craft have been repeatedly watche4 about the time they had fixed for their meeting : they have been feen to anoint themfelves with foporific compofitions ; af¬ ter which they fell into profound deep ; and on awak¬ ing feveral hours afterwards, they have related their journey through the air, with" their amufement at the feilival, and have named the perfons whom they faw there.” This is exaftly conformable to the practice of the ancient magicians and diviners, and feems to be the true way of accounting, as well for many of the phenomena of magic, as for that extravagant ^md (hameful fuperftition which prevailed fo much during part of the laft: century, and by which fuch numbers of innocent men and women were cruelly put to death (c). We may indeed be aifured, that the devil has it not in his power to reverfe in a fingle inftance the laws of nature without a divine permiflion ; and: we can conceive but one occafion (fee Possession^ on which fuch permiflion could be given confidently with the wifdom and the goodnefs of God. All the tales, therefore, of diabolical agency in magic and witchcraft muft undoubtedly be falfe ; for a power which the devil is not himfelf at liberty to exert, he cannot communicate to a human- creature. Were the cafe otherwife; were thofe powers, “which (according to Johnfon) only the controul of Omnipotence re- ftrains from laying creation wafte, fubfervient to the invocations of wicked mortals ; were thofe fpirits,— of which the kaft could wield The dements, and arm him. with the force Of all their regions,” permitted to work mi¬ racles, and either to in ft id or to remove difeafes at the defire of their capricious votaries, how comfortlefs and wretched would be the life of men! But the matter has been long ago determined by the failure of Pha¬ raoh’s magicians; who, though by legerdemain they imitated fome of the miracles of Mofes, could not form the vileft infedt, or (land before the difeafe which he inflided upon them as well as upon others. The (c). For fome farther account of popular illufions,. fee /Inimal Magnetism, MAG r 419 ] MAG Magic The revival of learning, and the fuccefs with which sHuai'e- the laws of nature have been inveftigated, have long ’’ r " ago banifhed this fpecies of magic from all the en¬ lightened nations of Europe. Among ourfelves, none but perfons grofsly illiterate pay the leaft regard to magical charms ; nor are they any where abroad more prevalent than among the inhabitants of Lapland and Iceland. Thefe people, indeed, place an abfolute confidence in the effefts of certain idle words and ac tions ; and ignorant failors from other parts of the world are deceived by their affertions and their cere¬ monies. The famous magical drum of the Laplanders is Itill in conftant ufe in that nation ; and Scheffer, in his Hiffory of Lapland, has given an account of its ftru&ure. This inftrument is made of beech, pine, or fir, fplit in the middle, and hollowed on the flat fide where the drum is to be made. The hollow is of an oval figure; and is covered with a (kin clean dreffed, and painted with figures of various kinds, fuch as ftars, funs and moons, animals and plants, and even countries, lakes and rivers; and of later days, fince the preaching of Chriftianity among them, the a&s and fufferings of our Saviour and his apoftles are often added among the reft. All thefe figures are feparated by lines into three regions or clufters. There is, befides thefe parts of the drum, an index and a hammer. The index is a bundle of brafs or iron rings, the biggeft of which has a hole in its middle, and the fmaller ones are hung to it. The hammer or dmmftick is made of the horn of a rein-deer; and with this they beat the drum fo as to make thefe rings move, they being laid on the top for that purpofe. In the motion of thefe rings about the pictures figured on the drum, they fancy to themfelves feme prediction in regard to the things they inquire about. What they principally inquire into by this inftru¬ ment, are three things. 1. What facrilices will prove moft acceptable to their gods. 2. What fuccefs they fhall have in their feveral occupations, as hunting, fifh- ing, curing of difeafes, and the like ; and, 3. What is doing in places remote from them. On thefe feveral occafions they ufe feveral peculiar ceremonies, and place themfelves in various odd poftures as they beat the drum; which influences the rings to the one or the other fide, and to come nearer to the one or the other fet of figures. And when they have done this, they have a method of calculating a difeovery, which they keep as a great fecret, but which feems merely the bufinefs of the imagination in the diviner or magician. Magic Square, a fquare figure, formed of a feries of 1 numbers in mathematical proportion; fo difpofed in parallel and equal ranks, as that the fums of each row, taken either perpendicularly, horizontally, or diago¬ nally, are equal. Let the feveral numbers which compofe any fquare number (for inftance, 1,2, 3, 4, 5, Ccc. to 25 inclufive, the fquare number) be difpofed, in their natural order, after each other in a fquare figure of 25 cells, each in its cell; if now you change the order of thefe numbers, and difpofe them in the cells in fuch manner, as that the five numbers which fill an horizontal rank of cells, being added together, fhall make the fame fum with the five numbers in any other rank of cells, whether horizontal or vertical, and even the fame number with Magic the five in each of the two diagonal ranks: this dif- ^ pofition of numbers is called a magic fquare, in opposi¬ tion to the former difpofition, which is called a natural fquare. See the figures following : One would imagine that thefe magic fquares had that name given them in regard this property of all their ranks, which, taken any way, make always the fame fum, appeared extremely furprifing, efpecially in certain ignorant ages, when mathematics paffed for magic ; but there is a great deal of reafon to fufpeft, that thefe fquares merited their name ftill farther, by the fuperftitious operations they were employed in, as the conftru&ion of talifmans, &c., for, according to the childifh philofophy of thofe days, which attributed virtues to numbers, what virtues might not be expect¬ ed from numbers fo wonderful ? However, what w'as at firft the vain practice of ma¬ kers of talifmans and conjurers, has fince become the fubjeCt of a ferious refearch among mathematicians J not that they imagine it will lead them to any thing of folid ufe or advantage. Magic fquares favour too much of their original to be of much ufe; but only as it is a kind of play, where the difficulty makes the merit, and it may chance to produce fome new views of numbers, which mathematicians will not lofe the oc- cafion of. Eman. Mofchopulus, a Greek author of no great antiquity, is the firft that appears to have fpoken of magic fquares: and by the age wherein he lived, there is reafon to imagine he did not look on them merely as a matfiematician. However, he has left us fome rules for their conftruftion. In the treatife of Cor. Agrippa, fo much accufed of magic, we find the fquares of feven numbers, viz. from three to nine inclufive, difpofed magically ; and it muft not be fuppofed that thofe feven numbers were preferred to all the other without fome very good reafon: in effeCl, it is becaufc their fquare?, according to the fyftem of Agrippa and his followers, are planetary. The fquare of 3, for in¬ ftance, belongs to Saturn ; that of 4 to Jupiter ; that •of 5 to Mars; that of 6 to the Sun; that of 7 to Ve¬ nus ; that of 8 to Mercury; and that of 9 to the Moon. M. Bachet applied himfelf to the ftudy of magic fquares, on the hint he had taken from the pla¬ netary fquares ofAgrippa, as being unacquainted with the work of Mofchopulusvwhich is only in manufeript in the French king’s library; and, without the affift- ance of any author, he found out a new method for thofe fquares whofe root fis uneven, for inftance 25, 49, &c. but he could not make any thing of thofe whofe root is even. After him came M. Frenicle, who took the fame fubject in hand. A certain great algebraift was of opinion, that whereas the 16 numbers which compofe the fquare might be difpofed 20922789888000 diffe¬ rent ways in a natural fquare (as from the rules of com- 3 G a binatioa MAG [ 420 ] MAG Magic bhiatlon it is certain they may), they could not he aciu3re' difpofed in a magic fquare above 16 different ways; i)Ut; M. Frenicle fhowed, that they might be thus dif¬ pofed 878 different ways: whence it appears how much his method exceeds the former, which only yielded the 55th part of magic fquares of that of M. Frenicle. To this inquiry he thought fit to add a difficulty that had not yet been conlidered: the magic fquare of 7, for inftance, being conftrucfed, and its 49 cells fill¬ ed, if the two horizontal ranks of cells, and, at the fame time, the two vertical ones, the moft remote from the middle, be retrenched ; that is, if the whole bor¬ der or circumference of the fquare be taken away, there will remain a fquare whofe root will be 5, and which will only confift of 25 cells. Nowit is not at all furpriling that the fquare ffiould be no longer ma¬ gical, becaufe the ranks of the large ones were not in¬ tended to make the fame fum, excepting when taken entire with all the feven numbers that fill their feven cells; fo that being mutilated each of two cells, arid having loll two of their numbers, it may be well ex- pe&ed, that their remainders will not any longer make the fame fum. But M. Frenicle would not be fatis- iied, unlefs when the circumference or border of the magic fquare was taken away, and even any circumfe¬ rence at pleafure, or, in fine, feveral circumferences at once, the remaining fquare was ftill magical: which lafl condition, no doubt, made thefe fquares vaftly more magical than ever. Again, he inverted that condition, and required that any circumference taken at pleafure, or even feveral circumferences, fhould be infeparabie from the fquare; that is, that it fhould ceafe to be magical when they were removed, and yet continue magical after the re¬ moval of any of the reft. M. Frenicle, however, gives no general demonftration of his methods, and frequent¬ ly feems to have no other guide but chance. It is true, his book was not publifhed by himfelf, nor did it appear till after his death, viz. in 1693. In 17 3, M. Poignard, canon of Bruffels, publifh¬ ed a treatife of fublime magic fquares. Before him there had been no magic fquares made but for feriefes of natural numbers that formed a fquare; but M. Poignard made two very confiderable improvements, j. Inftead of taking all the numbers that fill a fquare, for inftance the 36 fuceeffive numbers, which would fill all the cells of a natural fquare, whofe fide is 6, he only takes as many fucceffive numbers as there are units in the fide of the fquare, which, in this cafe, are fix; and thefe fix numbers alone he difpofes in fuch manner in the 36 cells that none of them are repeated twice in the fame rank, whether it be horizontal, vertical, or diagonal; whence it follows, that all the ranks, taken all the wayspoffible, muft always make the fame fum, which M. Poignard calls repeated progreffion, 2. In¬ ftead of being confined to take thefe numbers accord¬ ing to the feries and fucceffion of the natural numbers, that is, in an arithmetical progreffion, he takes them likewife in a geometrical progreffion, and even in an harmonical progreffion. But with thefe two laft pro- greffions the magic muft neceflarily be different to what it was: in the fquares filled with numbers in geometrical progreffion, it confifts in this, that the Magic produfts of all the ranks are equal; and in the har- Square, monical progreffion, the numbers of all the ranks con- 1 * tinually follow that progreffion. he makes fquares of each of thefe three progreffions repeated. This book of M. Poignard gave occafion to M. de la Hire to turn his thoughts the fame way, which he did with fuch fuccefs, that he feems to have well nigh completed the theory of magic fquares. He firft con- fiders uneven fquares: all his predeceffors on the fub- jeril having found the conftrudftion of even ones by much the moft difficult; for which reafon M. de la Hire referves thofe for the laft. This excefs of diffi¬ culty may arife partly from hence, that the numbers are taken in arithmetical progreffion. Now in that progreffion, if the number of terms be uneven, that in the middle has fome properties, which may be of fer- vice ; for inftance, being multiplied by the number of terms in the progreffion, the produdl is equal to the fum of all the terms. M. de la Hire propofes a general method for un¬ even fquares, which has fome iimilitude with the the¬ ory of compound motions, fo ufeful and fertile in me¬ chanics. As that confifts in decompounding motions, and refolving them into others more fimple ; fo does M. de la Flire’s method confift in refolving the fquare that is to be conftrufted into two fimple and primitive fquares. It muft be owned, however, it is not quite fo eafy to conceive thofe two fimple and primitive fquares in the compound or perfeft fquare, as in an oblique motion to imagine a parallel and perpendicular one. Suppofe a fquare of cells, whofe root is uneven, for inftance 7; and that its 49 cells are to be filled magi¬ cally with numbers, for inftance the firft 7. M. de la Hire, on the one fide, takes the firft 7 numbers, be¬ ginning with unity, and ending with the root 7 ; and on the other 7, and all its multiples to 49, exclu- fively; and as thefe only make fix Humbers, he adds c, which - makes this an arithmetical progreffion of 7 terms as well as the other; o. 7. 14. 21. 28. 35. 42. This done, with the firft progreffion repeated, he fills the fquare of ^he root 7 magically : In order to this, he writes in the firft feven cells of the firft horizontal . rank the feven numbers propofed in what order he pleafes, for that is abfolutely indifferent; and it is proper to obferve here, that thofe feven numbers may¬ be ranged in 5040 different manners in the fame rank. The order in which they are placed in the firft hori¬ zontal rank, be it what it will, is that which deter¬ mines their order in all the reft. For the fecond ho¬ rizontal rank, he places in its firft cell, either the third, the fourth, the fifth, or the fixth number, from the firft number of the firft rank; and after that writes the fix others in order as they follow. For the third horizontal rank, he obferves the fame method with re¬ gard to the fecond'that he obferved in the fecond with regard to the firit, and fo of the reft. For inftance, fuppofe the firft horizontal rank filled with the feven numbers in their natural order, 1, 2, 3, 4, 5, 6, 7 ; the fecond horizontal rank may either commence with 3, with 4, with 5, or with 6: but in this inftance it commences with 3; the third rank therefore muft com- 4 • menee M A Mijr’c Squa.e. !j_ 3_. 4 j_iA i ;_L 6 1 7 G [42 me nee with e, the fourth with 7, the fifth with 2, the fixth with 4, and the feventh with 6. The com¬ mencement of the ranks which follow theiirll being thus determined, the other numbers, as we have alrea¬ dy obferved, mult be writ- > 1 M A G ten down in the order wherein they ftand in the firft, going on to 5, 6, and 7, and returning to 1, 2, &c. till every number in the firft rank be found in every rank underneath, according to the order arbitrarily pitched upon at firft. By this means it is evident, that no number whatever can be repeated twice in the fame rank ; and by confequence, that the feven numbers 1, 2, 3, 4, 5, 6, 7, being in each rank, muft of neceffity make the fame fum. It appears, from this example, that the arrangement of the numbers in the firft rank being chofen at plea- fure, the other ranks may be continued in four diffe¬ rent manners : and iince the firft rank may have 5040 different arrangements, there are no lefs than 20160 different manners of conftru&ing the magic fquare of feven number? repeated. 1 I 2 TiT i}± 4_|_L_ -lLAJ-L A* 7 _L jMJLLL 4 mA 6_ l 3 1 4 4 j The order of the numbers in the firft rank being de¬ termined ; if in beginning with the fecond rank, the fecond number 2, or the laft number 7, fhould be pitch¬ ed upon, in one of thofe cafes and repeated ; and in the other cafe, the other diagonal would be falfe un- lefs the number repeated feven times Ihould happen to be 4 ; for four times feven is equal to the fum of 1, 2, 3, 4, 5, 6, 7 : and in general, in every fqnare confifting of an unequal number of terms, in arithmeti¬ cal progreffioh, one of the diagonals would be falfe according to thofe two conftrudtions, unlefs the term always repeated in that diagonal were the middle term of the progreffion. It is not, however, at aft necef- fary to take the terms in an arithmetical progreffion ; for, according to this method, one may conftruift a magic fquare of any numbers at pleafure, whether they be according to any certain progreffion or not. If they be in an arithmetical, progreffion, it will be proper, out of the general method, to except thofe two conftruftions which produce a continual repetition of the fame term in one of the two diagonals, and on¬ ly to take in the cafe wherein that repetition would prevent the diagonal from being juft ; which cafe be¬ ing a,bfolutely difregarded when we computed that the fquare of 7 might have 20,160 different conftrudtions, it is evident that by taking that cafe in it muft have vaftly more. To begin the fecond rank with any other number befides the fecond and the laft, muft not, however, be Magic looked on as an univerfal rule: it holds-good for the ^ art ' ly attracted ; and amber aa well as other combultible fubftances have the fame property, after being burn¬ ed. Ahnoft every part of animal and vegetable bodies is afletted by the magnet after being burned ; but un¬ burned animal or vegetable fubltances are very feldom if ever perceptibly attracted. It is alfo remarkable, that even foot, of the dull which falls upon any thing left expofcd to the atmofphere, are feniibly attracted. Colourlefs precious Itones, as the diamond and cryf- tals, are not attracted; neither the amethylt, topaz, chalcedony, or fuch as are deprived of their colour by fire; but all others, as the ruby, chryfolite, and tourmalin, are attracted. The emerald, and parti¬ cularly the garnet, are not only attracted, but fre¬ quently acquire an evident polarity. The opal is at- tradted but weakly. The attradtion of fo many different-fubftances (hows the univerfal diffufion of iron throughout almoft all terreltrial fubltances; for to this we are with the greateft probability to afcribe the attradtion of fo many fubftances by the magnet. How fmall a quan¬ tity of iron indeed will give a fubftance this property, is evident from the following experiment related by Mr Cavallo. “ Having chofen a piece of Turky- ftone which weighed above an ounce, 1 examined it by a very fenfible magnet needle, but did not find that it was affedted in the leaft. A piece of fteel was then weighed with a pair of fcales, which would turn with the 20th part of a grain, and one end of it drawn over the ftone in various diredtions. After this ope¬ ration the fteel was again weighed, and found to have loft no perceptible part of its weight; yet the Turky- ftone, which had acquired only this very fmall quan¬ tity of fteel, now aftedted the magnetic needle very fenfibly.” In making his obfervations on this expe¬ riment, he propofes the magnet as a teft ol iron in different fubftances, being capable of deteaing a fmaller quantity than.any method that chemiftry can yet afford. Our author has been at confiderable pains to inve- ftigate the magnetic properties of brafs and other me¬ tals ; having made many experiments upon the fub- jedt, of which the following are the refults: i. Ham¬ mered brafs is much more generally attradled by the magnet than other kinds ; and fuch as is not influen¬ ced in this manner, acquires the property by being hammered. 2. A piece of brafs rendered magnetic by hammering, lofes the property on being made red hot fo as to become foftened ; by a fecond hammer¬ ing it becomes again magnetic ; and thus may be made to lofe its property and recover it alternately. 3. Suf- pedting that the magnetic property might be occalion- ed by a fmall quantity of iron abraded from the ham¬ mer, the pieces of brafs were beat between two pieces of card-paper ; notwithftanding which precaution, it acquired the magnetic property as before. 4. Some¬ times an evident degree of magnetifm was communi- £ T I S M. 429, cated by two or three ftrokes, and with the card-paper Subftances not above 30 ftrokes were given to make the brafs attracted fenfibly magnetic. 5. A piece of brafs was hardened signet, by beating it between two large flints, ufing one for 1 the hammer and the other for the anvil; but ftill it acquired a magnetic property, tho’ lefs than with “the iron hammer, which might be explained by the rough- nefs of the flints, and their not coming into uontadt fufficiently with the metal. Neither of the flints was. found to have acquired the fmalleft degree of magne¬ tic power either before or after the experiment. 6. By melting the brafs in a crucible, it was found to have entirely loft its magnetifm. 7. A piece of brafs de¬ prived of its magnetic property by fire, regained it after a few ftrokes of the hammer, though laid be¬ tween two pieces of copper. 8. Moft of the pieces of brafs tried by our author became magnetic by ham¬ mering ; but fome, though rendered equally hard with the reft, did not affe6t the needle in the leaft ; but thefe could not originally be diftinguilhed from fuch as are capable of becoming magnetic. 9. As, notwithftand¬ ing the precautions made ufe of in the above'experi¬ ments to.prevent the iron of the hammer from being in any manner of way communicated to the brafs, an objection might arife, thht fome quantity of the calx might be diffufed through the metal, and acquire phlogifton by hammering, he tried the following ex¬ periment, which feemed decifive. A piece of brafs which would acquire no magnetifm by hammering,, was put upon an anvil with a confiderable quantity of crocus martis, which had no effedt upon the needle. It was then hammered for a long time, turning it fre¬ quently, fo that the crocus was beat intd the fubftance of the brafs, and gave it a red colour ; .neverthelefs, it affected the needle in this ftate no more than before. 10. A hole of about an eighth part of an inch in length, and little more than one 50th of an inch in¬ diameter, was drilled in a piece of brafs which could not be rendered magnetic by hammering ; after which the hole was filled with crocus martis, and hammered as before, but ftill it Ihowed no figns of magne¬ tifm (a). XI. On making this piece of brafs, con¬ taining the crocus, red hot, it then affedted the needle, *■ but only in that place where the crocus was. 12. On repeating this experiment with black calx of iron in- ftead of crocus martis, the brafs was weakly attracted in that place where the calx was, and this attradtion was neither augmented nor diminiftied by calcination. 13. On mixing a fmall quantity of iron with four times its weight of brafs which could not be made magnetic by hammering,, the whole was rendered powerfully magnetic ; but on again mixing this com¬ pound with 50 times its weight of the fame brafs, the attradtion became fo weak , as to be fcarcely percep¬ tible ; and was neither augmented by hammering nor diminiftied by; foftening, 14, On repeating moft of his experiments, by letting the pieces of brafs float upon quickfilver in the manner hereafter defcribed, he found that very few of themwere not affedted ; and- even the indifference of any of them did not ft cm to be (a) Thefe two experiments feem inconfiftent without author’s affertion, _that calces of iron zxe-always a£-~ fecitd in fome degree by the magnet. 43° Sul.fiances attracted by the Magnet. M A G N E be very well nfeertained; though thefe did not ac¬ quire any additional magnetifm by hammering. From all thefe experiments Mr Cavallo draws the . following conclulions. x. Moft brafs becomes mag¬ netic by hammering, and lofes that property by an¬ nealing or foftening in the fire ; or at leatt its magne¬ tifm is fo far weakened by it, as afterwards to be only difeovered when floating on quickfilver. 2. The ac¬ quired magnetifm is not owing to particles of fron naturally or artificially mixed with the brafs. 3. The pieces of brafs v/hich have that property retain it with¬ out any diminution after a great number of repeated trials; but he found ho method of giving magnetifm to brafs which had it riot naturally. 4. A large piece of brafi has generally a ftronger magnetic power than a fmall one ; and the fiat furface draws the needle more powerfully than the edge or corner. 5. If only one end of a piece of brafs be hammered, then that end alone will difturb the magnetic needle. 6. The mag¬ netic power which brafs acquires by hammering has a certain limit, beyond which it cannot be increafed by farther hammering. This limit is different in different pieces of brafs, according to their thicknefs or quality. 7. In the courfe of his expe¬ riments, the following circumflance was twice obler- ved : A piece of brafs which had the property of be¬ coming magnetic by hammering, and of lofing that ■property by annealing, loft its magnetic power entirely by being left in the fire till partially melted, but re¬ covered it again on being fully fo. 8. A long conti¬ nuance in a ftrong fire, which alters the texture of the metal, making it what fome workmen call rotten, ge¬ nerally deflroys the magnetic property alfo ; whence this property feems to be -owing to fome particular configuration of its parts. 9. When brafs is ufed in magnetical inftruments, it ought either to be left en¬ tirely foft, or ehofen of fuch a fort as wall not become magnetic by hammering. 10. There are few fub- ifances in nature, which, when floated upon quick¬ filver, are not affefted in fome degree by the mag¬ net. ' Our author next proceeded to try the magnetic power of other metals, particularly the component parts of brafs, See. copper, and z.inc. With the former the refult was doubtful; and though pieces of ham¬ mered copper would fometimes attradf the needle, yet the attradlion was always exceedingly weak. Zinc- had no efle&, either in its natural ftate or hammered as much as it could bear without breaking. A mix¬ ture of it with tin had no effeft. The fame was ob- ferved of a piece of a broken refledtor of a telefcope made of tin and copper ; a mixture of tin, zinc, and copper ; a piece of lilver whether foft or hammered ; a piece of pure gold whether foft or hammered ; a mixture cf gold and filver, both hard and foft; and ano¬ ther mixture of much filver, a little copper, and a Hill lefs quantity of gold. The magnetic property of nickel has been men¬ tioned by feveral authors ; but Mr Cavallo fays he has found fome pieces which did not affeft the needle in the leaft. “ It is probable (fays he) that thefe pieces were not pure nickel, and perhaps fome cobalt was contained in them ; but I fee no reafon why the nic¬ kel, when alloyed with a little cobalt, Ihould Ihow no attraction towards the magnet, if that property did T I S M. Chap, T. really and eflentially belong to it.” Our author, Atr-aclion laftly, made feveral experiments upon platina; the mag- tovvari» netic properties of which were found to be very fisni- lra‘1, . lar to thofe of brafs ; the native grains becomirig mag¬ netic by hammering, and lofing that property by heat; but the precipitate from aqua-regia, fufed in a violent fire, or rather concreted together by this means, Ihowed no fign of attra&ion whatever. 5 3- OJ the Attraction of thrMagnet towards Iron ‘in its various States of Exijlencc. I. Th e firft experiment which naturally occurs on this fubjeft is, Whether mere heat can make any change in the magnetic properties of iron without dcllroying its texture or diminilhing the power of the magnet to which it is applied. Kircher fays, that he tried this experiment, and found that a piece of iron heated to fuch a degree as to be fcarcely difcernible from a burning coal, was in that Hate as powerfully attraded as if if had been cold. Mr Cavallo found the effect dire&ly the reverfe ; for, having heated a piece of fteel red hot, and in that ftate prefented it to the mag¬ net, fo as to touch it repeatedly in various places, not the leaft fign of attraction could be perceived. In this experiment, the rednefs of the iron could plainly be perceived in day-light; and our author acknowledges, that iron, tho’ its rednefs be perceptible in the dark, will ftiil be attraded by the magnet. The refult was the fame on repeating the experiment a number of times over; but the attradion became as. ftrong as ever a little after the rednefs ceafed in the dark. The attradion feemed to begin fooner in fteel than in iron. Our author does not pretend to fay, that by heating iron to a red, or even to a white heat, the attraction of the magnet for it is abfolutely annihilated; but it certainly was fo far dimiuilhed that it did not affed the magnetic needle. II. It was now tried what would be the effed of de- comppfing iron ; and with this view an earthen veffel, containing about two ounces of iron-filings, was pla¬ ced near the fouth end of the needle of the compafs, by which the latter was drawn a little out of its direc¬ tion. On adding fome water, and then vitriolic acid, the attradion leemed to be increafed, and the needle came nearer the veffeh This fuperior attradion con¬ tinued till the effervefcence began to ceafe ; and at laft it was found to be inferior to what it had been originally. To obviate fome objedions which might ariie from the motion of the iron-filings, the experi¬ ment was repeated with fteel-wire twitted in various diredions, fo as to prelent a large furface to the acid; and being placed at a proper diltance from the needle, it attraded it out of its diredion from 281° to 280°. After adding the diluted vitriolic acid, a ftrong effer- vefcence eniued, and the needle was moved to 279° 47'; five minutes after that it flood at 279^ 35'; and in five minutes more at 279“ 33'; feeming even to come fomewhat nearer in a little time after: but as it then appeared to have gained its maximum of attrac¬ tion, the pot was removed, and the needle went back to its original ftation of 281'. On repeating this experiment with different acids, ' it was found that the vitriolic increafed the attradion more than either the nitrous or marine. With the former of thefe the maximum of attradion was fooner gained f Chap. T. MAGNETISM. 'Attra&ion Iriar*ne t^ie attrai^!'on was weakeft of all; which, ^ ' however, our author imputes to his not being able to raife a fufficient effervefcence with this acid. III. ^he degree of magnetic attraction depends'upon the ftrength df the magnet itfelf, the weight and fnape, of the iron prefented to it, the magnetic or unmag- netic Hate of the body, and the diftance between them. A piece of clean and foft iron is more powerfully at¬ tracted than any other ferruginous fubftance of the fame iize and lhape. Steel is attrated lefs powerful¬ ly. The attratioh is ftrongeft at the poles, dimi- nifhing according to the diitance from them, and en¬ tirely ceafing at the equator or middle point betwixt the poles. It is ftrongeft near the furface of the mag¬ net, diminifliing as we recede from it; but the pro¬ portion in which this diminution takes place has not been exactly determined. M. Mufchenbroeck made the following experiments in order to determine this point. i. A cylindrical magnet, two inches long, and weighing 16 drams, was fufpended by an accurate ba¬ lance above a cylinder of iron exactly of the fame fhape and dimenfions, and the degree of attraftion betwixt the two meafured by weights put into the oppofite fcale ; the magnet being fucceffively placed at different diftances from the iron. The refults were as follow : Diftance in Attraction in inches. 6 IV. Uling' a globe of iron of the fame diameter 1 with the magnet inftead of the cylinder, the refults ^ were: ‘ 431 Diftance in inches 8 - 7 - 6 - 5 — 4 — 3 - Attraction in grains. 64 290 grams. 3x 2. A fpfyerical magnet of the fame diameter with the cylindrical one, but of greater ftrength, was affix- In the experiments with the cylinder, it was found that the magnet, attracted a fhorter cylinder with lefs force, but in the fame proportion.—From the others, it appears, that one magnet attracts another with lefs force than a piece of iron, but that the attraction be¬ gins from a greater diftance; whence it muft follow a different law of decreafe. IV. The attraction between the magnet and a piece of iron is fubjeCt to variation from the mere fhape of the latter, there being a limit in the weight and fhapfr of the iron, in which it will attract it more forcibly than any other; but this can only be determined by aCtual experiment. V. It has already been obferved, that magnetic at¬ traction takes place only between the oppofite poles of two magnets: however, it frequently happens, that though the north pole of one magnet be prefented to the north pole of another, that they fhow neither at¬ traction nor repulfion ; but that when placed very near each other, they will attraCt. This is explained by our author in the following manner : “ When a piece of iron, or any other fubftance that contains iron, is brought within a certain diftance of a magnet, it be¬ comes itfelf a magnet, having the poles, the attractive ed to one of the feales of the balance, and the cylin- power, and, in fnort, every property of a real magnet. drical magnet ufed in the former experiment placed upon the table with its fouth pole upwards, facing the north pole of the fpherical magnet; when the at¬ tractions were found as follow : Diftance i inches. 6 5 4 3 Attraction i grains. 21 27 34 44 ■64 - ICO 260 3. Changing the cylindrical magnet for the ire cylinder abovementioned, the refult was as follows : Diftance in Attraction in inches. grains. — — h — “ J5 — — 25 — — 45 — — 92 — — 34° That part of it which is neareft to the magnet ac¬ quires a contrary polarity ; but it often happens that one of the magnets, being more powerful than the other, will change the pole of that other magnet in the fame manner as it gives magnetifm to any other piece of iron which is expofed to its influence ; and then an attraction will take place between two poles apparently of the fame names; though, in faCt, it is an attraction between poles of different names, be- caufe one of them has actually been changed. Thus, fuppofe that a powerful magnet has been placed with, its north pole very near the north pole of a weak mag¬ net, it will be found, that, inftead of repelling, they will attraCt each other, becaufe that part of the weak magnet which before was a north pole, has beea changed into a fouth pole by the aCtion of the llrong magnet.” VI. Neither the attraction nor the repulfion of mag¬ netifm is fenfibly afteCted by the interpolition of bo¬ dies of any fort, excepting iron or ferruginous fub- ^dtances in general. Thus fuppofe, that, when a mag¬ net is placed at an inch diftance from a piece of iron, an ounce, or any determinate weight, is required to move it; the fame will be required, though a plate of metal, 432 B',l-reef3 metal, glafs, or any other fubftance excepting iron be AHratftioii *nterP°^* Neither the abfence nor prefence of air ■ has any effect upon it. VII. By heat, the power of a magnet is weakened ; and when it arrives at that degree called a white heat, it is entirely deftroyed. On the other hand, the at- tra&ion is increafed confiderably by adding more and i more weight to the magnet: for thus it will be found that the magnet will keep fufpended this day a little more weight than it did the day before ; which addi- •.tional weight being added to it on the following day, or fome day after, it will be able to fufpend a weight ftill greater, and fo on as far as a certain limit. On the other hand, by an improper fituatian, or by dimi- nifhingthe quantity of iron appended to it, the power will decreafe very confiderably. VIII The magnetic attraction is communicable to any given piece of heel only in a certain degree ; and therefore if a magnet is llrong enough to give; the maximum of attra&ion to the piece, it cannot be af¬ terwards rendered more powerful by applying another magnet, however; itrong. Thus, indeed, the Heel may be made Itronger for a few minutes; but this overplus of attraction begins to go off as foon as the llrong magnet is withdrawn; and the power, continuing gra¬ dually to diminilh, fettles in a (hort time at that de¬ gree which is its limit ever after. IX. Some have alferted, that in the northern parts of the world, the north pole of the magnet is ftronger than the fouth pole, and that in the fouthern parts the contrary takes place; others are of a quite con¬ trary opinion, affirming, that in the northern regions the fouth pole is ftronger than the north one: but nei¬ ther of thefe opinions have yet been fufficiently con¬ firmed by experience. X. If a piece of iron be held to one of the poles of a magnet, the attractive power of the other pole -will thus be augmented: Hence we may underftand why a magnet will lift a greater weight from a piece of iron than from wood or any other fubftance, viz. that the iron appended to the magnet becomes itfclf a magnet while it remains in that fituation ; and thus, having two poles, the iron which is placed near the one increafes the attractive power of the other which adheres to the magnet, and enables it to fuf- tain a greater weight than it would otherwife do. XI. Soft iron acquires the magnetic power by be¬ ing appended to a magnet; but it lalts only while the iron remains in that fituation, vaniffiing as foon as the .magnet and iron are feparated from each other. With hard iron,, but efpecially Heel, the cafe is quite diffe¬ rent ; and the harder the ir on or Heel is, the more per¬ manent is the magnetifm which it acquires ; though in proportion to this fame hardnefs it is difficult to im¬ pregnate it with the virtue. XII. The fmalleft natural magnets generally poffefs the greateft proportion of attractive power; fo that there have frequently been feen magnets not weighing more than 20 or 30 grains, which would take up 40 or 50 times their owm weight; but the greateft pro¬ portion of attractive power, perhaps ever known, be¬ longed to the magnet worn by Sir Ifaac Newton in his j-ing. It weighed only three grains, and was able to take up 746 grains,or nearly 250 times its own weight; and Mr Cavallo has feen one which could not weigh more N° 191. Chap. I. than fix or feven grains, and yet was capable of lift- polarity ing 300. A femicircular fteel magnet made by Mr °f the Canton, weighing one ounce and 13 penny-weights, iMaanet- . took up 90 ounces; but magnets of above two pounds '““"v— feldom lift more than five or fix times their own weight, or indeed feldom fo much. It frequently happens, that a piece cut off from a large natural mag¬ net will lift more than the ftone itfelfdid when whole; which is to be attributed to the heterogeneous nature of the ftone itfelf; for if part of it be impure, it is plain that this can do nothing elfe than obftruCt the virtue of the remainder, which confequently muft aCt more powerfully when the obftruCtion is remo¬ ved. 13. As the two magnetic poles taken together are capable of lifting a much greater weight than a fingle one, and as they are generally fituated in oppofite parts of its furface, it has been cuttomary to adapt two broad pieces of foft iron to them, letting the pie¬ ces projeCt on one fide of the magnet; becaufe, in that cafe, the pieces themfelves being rendered mag¬ netic, another piece of iron could be conveniently adapted to their projections fo as to let both poles aCt in concert. Thefe pieces of iron are generally held fall upon the magnet by means of a brafs or filver box; in which cafe the magnet is faid to be armed, and the pieces of iron are called, its armature. For the fame purpofe, and to avoid the armature, artificial magnets have been commonly made in the lhape of a horfe-fhoe, having their poles in the two extremities. This is by far the belt ffiape for magnets; and the horfe-lhoe ones are always more powerful than ftraight magnetic bars. § Of the Polarity of the Magnet. Though, properly fpeaking, no magnet can have more than two poles, viz. a north and a fouth one, yet it frequently happens that both the natural and artificial kind are divided as it were into feveral mag¬ nets ; each of which having likewife a north and fouth pole, the whole appears to have a number of poles, fome of one denomination and fome of the other.— This plurality of poles arifes fometimes from the fhape, but more commonly from the heterogeneous nature, of the magnet itfelf: and with refpeCt to thofe which have more than two poles, the following laws have been obferved : 1. That the parts adjacent to one pole are endowed with a contrary polarity. 2. That the poles of one denomination are not always equal in number, but that they never differ by more than one : thus if the magnet has four fouth poles, it will either have three, four, or five north poles. Good and proper¬ ly ffiaped magnets, however, have only twopolesdireCtly oppofite to one another ; though in truth it is always one half, or at leaft a great part of die magnet, that poffefs one kind of polarity, the other having the contrary kind ; the two points, which we call the poles, being only thofe where the attractive virtue is ftrongeft. Thofe two points, in good magnets, arc joined by a line palling through the centre, which line is called the axis of the magnet; and a circle whofc plane is perpendicular to the axis encompaffing the middle of the magnet is called its equator; and to complete the fuppofed fimilarity between the terraque¬ ous globe and magnetical bodies, the latter have fre¬ quently MAGNETISM. MAGNETISM Plate ccLxxyi Chap. IT. M A G N Theory quently been formed of a fpherical fhape, with the -"-“Y poles and equator marked upon their furface ; in \vhich cafe they have got the name of terrellas or fmall earths. On breaking a magnet into two or three parts, each one becomes a perfect magnet, though they have not always an equal number of poles of the fame denomination. The poles of the broken pieces generally anfwer to thofe of the whole magnet which Were neareft them, though this does not always hold good. A magnet with two poles will very readily place itfelf in the magnetic meridian, if fufpended by a fine thread, or otherwife left at liberty to turn ; but when there are more than two poles, it may happen that their oppofite tendencies will counteraft each other in fuch a Planner that the magnet cannot traverfe ; though it ' will flill attract and repel as though it had only two. Thus, fuppofe that an oblong magnet has a north po¬ larity at both ends and a fouth polarity in the mid¬ dle ; if the north poles are both equally ftrong, then k is plain, that neither of them can point towards that quarter in preference to the other ; but if a mag¬ net of this kind be broken in the middle, the two parts will traverfe very readily. It very feldom hap¬ pens, however, that both poles are equally ftrong ; in which cafe one of them will always get the better of the other, and the magnet will traverfe notwithftanding its having more than two poles. The polarity of the magnet is its moft valuable property, as upon it de¬ pends the conftru&ion of the magnetic needle or ma¬ riner’s compafs fo ufeful in navigation ; for an account of which, fee the article Compass, and Needle. For the variation of the needle, or its declination from the true north and fouth direction, fee the ar¬ ticle Variation. An account of the inclination of dipping of the magnetic needle is given under the article Dipping Needle. The dire&ive, or polar power of a magnet, extends farther than its attractive power : thus if a magnet, free¬ ly fufpended, be placed in the neighbourhood of ano¬ ther, it will be found that they can affeft each other’s direction when their attraction towards iron or to¬ wards each other cannot be perceived. This may be eafily tried by placing one of them in a fcale of a ba¬ lance and the other at a diftance below k. Chap. II. Theory of Magnet i/m. Thephenomena of magnetifm,like thofe of eleCtricity, depend on a caufe fo little fubjeCt to the inveftigation of our fenfes,4hat any regular apd well fupported theory can as yet fcarcely be expeCled. The fubjeft indeed is ftill more difficult than that of eleCtricity ; for in the latter 4he fluid is often made vifible and otherwife percepti¬ ble by our fenfes; but no experiment could ever render the caufe of magnetifm perceptible otherwife than by its effeCts. The idea of its being occafioned by a fluid entering in at one pole and palling but at ano¬ ther, took its rife, and became pretty generaf, from the following experiment: Having put a fmall artifi¬ cial magnet among fome iron-filings laid upon a piece of paper, give the table a few gentle knocks with your hand, fo as to lhake the filings a little, and they will difpofe of themfelves as reprefented in fjg. x. Vol. X. Part II . E T I S M. 435 where A B and C D reprefent the two poles of thfi Theory, magnet, and the dotted lines the difpofition of the filings. But Mr Cavallo obferves, that this experi¬ ment cannot be any proof of the fluid’s circulation ; “ becaufe if the fluid, of whatever nature it may be, did really circulate from one pole to the other, and'"G*V had any aCHon on the filings, thefe would be all driven towards that pole to which the fluid directed its courfe. The true caufe of the difpofition of the filings is their becoming a&ually magnetic, and their two extremities being poffeffed of contrary polarities. Now, when there are marty particles of Iron near the magnet, thofe which touch its furface are rendered magnetic ; confequently they attraCf other particles, and thefe being alfo rendered magnetic, attrad others, and fo on, forming firings*of fmall magnets, which gradually increafe ift power as they recede from the magnet. As each of thefe particles has two magnetic poles, by a little confideration it will appear, that the fartheft ends of thefe firings or lines which pro¬ ceed from the parts adjacent to one of the poles of the magnet, for inftance the north, are likewife pof¬ feffed of the north polarity ; and the fartheft extremi¬ ties of thofe which proceed from the parts adjacent to th? fouth pole of the magnet, are poffeffed of the fouth polarity: hence, when they come fuffi- ciently near, they attrad the extremities of the for¬ mer firings, and confequently form the curves deline¬ ated on the figure. The ftiaking of the table in this experiment ferves to ftir the filings, by making them jump up a little way, and thus place themfelves in the proper fituation ; otherwife the adio.t of the magnet will not have power fufficient to difpofe pro¬ perly thofe particles which Hand at a confiderable dif¬ tance.” The late difeoveries in eledricity have naturally fuggefted another theory, viz. that the magnetic phe¬ nomena may be occafioned by a fluid analogous to the eledric, or perhaps by the very fame : and with a view to inveftigate this theory, the phenomena of magnetifm and eledricky have been accurately compared with each other, and the analogy between them carefully marked. This analogy is found to confift principally in the following particulars : 1. Eledricky is of two kinds, pofitive and nega¬ tive, each of which repels its own kind, and attrads the oppofite. In magnecics, the north and fouth poles do the fame ; each being repulfive of its own kind of magnetifm, and attrading the oppofite. 2. In eledricity, whenever a body in its natural Hate is brought near an eledrified one, it becomes it¬ felf eledrified, and poffeffed of the contrary eledrici ty ; after which an attradion takes place. In like manner, when a piece of iron or fteel is brought with¬ in the influence of a magnet, it becomes itfelf poffef¬ fed of a magnetifm contrary to that which the mag¬ net poffeffes, and is of courfe attraded. 3. One fort of eledricity cannot be produced without the other, neither is it poffible to produce one kind of magnetifm without the other alfo. 4. The eledric power may be stained by certain fubftances, as amber, glafa, &c. but eafily pervade* other fubftances, which are therefore called conduSors. Magnetifm has a fimilar condudor in foft iron ; for by means of it the virtue may be extended farther 3 I tffian 434 M A G N E Theory, than can be done without it; at the fame time that the iron itfelf lofes all magnetic power the moment it is fepa:ated from the magnet. Hardened iron, caft- iron, and fteel, perform a part analogous to that of ele&rics ; for the virtue does not eafily pervade them, but is retained, and may be communicated by them to other unmagnetic pieces, in like manner as the ele&ric virtue may be communicated to bodies by means of an excited eleftric. With regard to other fubftances, they feem not to be properly conduftors of magnetifm, becaufe the fluid pervades them as though nothing were prefent, and they cannot tranf- mit the virtue farther than it would go without them. With foft iron it is otherwife. Thus, if to one of the poles of a magnet we append a piece of iron of confiderable length, the end farthefl: from the magnet will likewife attradl iron with much more force than the magnet could do at that diftance without it, while at the fame time this attraftive power is plainly that of the magnet itfelf, and not any way inherent in the iron, as it vaniflies the moment we feparate them. If a piece of hard fteel of an equal length with the iron be appended to the magnet by one of its ends, we will find that the diftant end will not manifeft any at¬ traction, and it will be a capfiderable time before the magnetic virtue can diffufe itfelf for any diftance along i:; but when the feparation is made, the fteel will be found to be magnetic, and will preferve its virtue for a long time. 5. The eleftric virtue exerts itfelf moft powerfully on points, which are found to carry it off or receive it in vaft quantities. In like manner a magnet will hold a piece of iron more powerfully by a corner, or ) unt point, than by a flat furface. On (harp points indeed the magnet has but little hold by rcafon of the deficiency of furface. 6. From fome experiments related under the article Electricity, it appears pofiible to fuperinduce the negative and pofitive electricities upon one ano¬ ther ; and in magnetics it is poflible to do the fame. Thus, if we place a wire of fome length upon a pi¬ vot, fo that it can turn very eafily, by touching both ends of it upon the poles of a magnet it will acquire a polarity ; one end being repelled by one pole and attracted by the other. If now we give the north end, for inftance, a very flight touch with the north pole of the magnet, we will find that it has a fmall degree of fouth magnetifm fuperinduced upon it, fo that on approaching the fouth pole of the magnet it will be repelled;but % approaching the magnet nearer, ©r holding the wire for a little from flying away, the fouth magnetifm of the wire will be entirely deftroy- ed, and the north magnetifm appear as before. This Experiment is not very eafily made; its fuccefs de¬ pends on having the firft magnetifm as ftrong and the fecond as weak as poflible. Thefe are the moft remarkable particulars in which magnetifm and eleCtricity are found to agree; but the differences between them are no lefs remarkable than thofe particulars. The magnetic power affeCts none of our fenfes, and moft perceptibly at leaft attraCts only iron ; while eleCtricity attraCts and repels bodies of every kind indiferiminately. The eleCtric virtue refides on the furface, but that of the magnet pervades the whole fubftance. A magnet lofes nothing of its f ewer by communicating its virtue to other bodies, T I S M. Chap. II. but eleCtricity always does: and, laftly, the magnetic Theory, virtue is permanent; whereas that of eleCtricity, with- — out the greateft care, is exceedingly perirtiable, and capable of being diflipated. Notwithftanding thefe difagreements, however, the analogies betwixt magnetifm and eleCtricity are fo great, that the hypothefis of a magnetic as well as of an deCtric fluid has now gained general credit; and upon this hypothefis Profeflbr iEpinus has attempted to folve the phenomena of magnetifm in the following manner : x. This fluid is fufficiently fubtile to penetrate the fubftance of all terreftrial bodies, and like the eleCtric fluid is fuppofed to be repulfive of itfelf. 2. T here is a mutual attraction between the mag* netic fluid and iron, but an indifference betwixt it and all other bodies. 3. There is a great refemblance betwixt ferrugi¬ nous bodies and eleCtrics, as the magnetic fluid paf- fes with difficulty through the former. 4. Iron and all ferruginous fubftances contain a quantity of magnetic fluid equably difperfed through their fubftance when thofe bodies are not magnetic. In this ftate they (how neither attraction nor repul- fion, becaufe the repulfion between the particles of magnetic fluid is balanced by the attraction between the matter of thofe bodies and the fluid; in which cafe thefe bodies are faid to be in a natural ftate: but when in a ferruginous body the quantity of mag¬ netic fluid is driven to one, then the body become* magnetic; one extremity of it being now overcharged with magnetic fluid and the other undercharged. Bodies thus conftituted, viz. rendered magnetic, exert a repul¬ fion between their overcharged extremities in virtue of the repulfion between the particles of that excefs of magnetic fluid, which is more than overbalanced by the attradion of their matter. There is an at¬ traction exerted between the overcharged extremity of one magnetic body and the undercharged extre¬ mity of the other, on account of the attraction be¬ tween that fluid and the matter of the body : but to explain the repulfion which takes place betwixt their undercharged extremities, we muft either imagine that iron when deprived of the magnetic fluid is re¬ pulfive of itfelf, or that the undercharged extremities appear to repel each other only becaufe either o£ them attrafts the oppofite overcharged extremities. A ferruginous body, therefore, according to this hypothefis, is rendered magnetic by having the e- quable diffufion of magnetic fluid through its fubftance difturbed, fo as to have an overplus of it in one or more parts and a deficiency in others, its magnetifm remaining as long as its impermeability prevents the reftoration of the balance between the overcharged and undercharged parts. A piece of iron is rendered magnetic by the vicinity ef a magnet; becaufe when the overcharged part or pole of the magnet is pre- fented to it, the overplus of the magnetic fluid in that pole repels the fluid away from the neareft ex¬ tremity of the iron ; which therefore becomes under* charged, or poffeffed of the contrary polarity, to the molt remote part of the iron, which confequently becomes overcharged, or pofiefled of the fame polarity as the prefented pole of the magnet. When the piece of iron is rendered magnetic by prefenting it to the un¬ dercharged extremity or pole of the magnet, then the Past cL £ ir. M A (J N part of the iron which is neareft to it becomes over- " charged, See. becaufe that part of the magnet, being deprived of its magnetic fluid, attracts the magnetic fluid of the iron to that extremity of the iron which lies neareft to itfelf. Hence, in order to give magnetifm to a piece of fteel, the ftrength of the magnet employed muft be fuch as to overcome the refiftance which the fubftance of the fteel makes againft the free paffage of the mag¬ netic fluid : hence a piece of foft fteel is rendered mag¬ netic more eafily than a hard one, and a ftrong mag¬ net will render magnetic fuch bodies as a weak one cannot affeft. When two magnets of equal power have their oppofite poles prefented to each other, they mutually preferve and ftrengthen the powers of each other; but when poles of the fame denomina¬ tion are forced together, if the powers are equal, they mutually weaken each other; or if unequal, the weak¬ er will have its poles altered, or perhaps its attractive power entirely deftroyed in a ftiort time. Before we make any remarks upon this hypothefls, it will be neceflary to take notice of another, which Mr Cavallo confiders as fo well eftablifhed, “ that there can hardly be a philofopher fceptical enough to doubt of its truth.” This is, that the earth itfelf is a magnet} which pofition, he fays, is proved almoft to a demonftration in the following manner. x. Almoft all the phenomena which may be ex¬ hibited with a common magnet may alfo be exhibited with- the earth, as far as it can be tried. And, 2. Vaft mafles of iron or ferruginous matter ac¬ tually magnetic are dug out of the earth almoft in every part of it. In fupport of the above pofition, he adduces the phenomena of the compafs, dipping-needle, and the magnetifm (to be afterwards explained) which foft iron receives when properly fituated. All thefe may be imitated by a common magnet or terrella. An ob¬ jection, however, occurs, that the moft remarkable phenomenon of all, viz. the attraction of iron, is want¬ ing. No experiment has yet ftiown that this metal is attracted more powerfully near the poles than at the equator itfelf; yet this ought very notably to be the cafe in fuch a large magnetic body. Our author indeed is of opinion, that if the experiment were tried with fufficient accuracy, the weight of the iron would be augmented by proceeding a confiderable way either fouthward or northward. But befides that this hy- pothefis is as yet entirely unfupported by experiment, the difference he even fuppofes is quite trifling and infignificant. The dipping of the needle may indeed (how that in this hemifphere there is a fuperiority of attraction between one end of the needle and the earth : but it remains to be proved whether this fu¬ periority refides in the needle or in the earth itfelf. The following conflderation indeed feems evidently to Ihow that the power, whatever it is, refides In the needle itfelf ; namely, that at the equator, the needle oughttoremain in an eaft andweft direction, if fo placed; becaufe of the equal attraction of the north and fouth poles. Were the needle carried to the pole itfelf, we can only fuppofe that it would point perpendicularly down¬ wards; in every other cafe, the attraction will not be per¬ pendicular, but oblique: and fuppofmg us torecede from the point of perpendicular attraction only a few miles. E T I S M. the obliquity would become fo gfeat, that ho attrac¬ tion or repulfion towards that point would be diftin- guifliable from an horizontal direction. The incli¬ nation of the needle therefore fliows, that it is not ac¬ tuated by the influence of a diftant point in the earth; but by fome power in the atmofphere immediately aCting upon the needle, and directing its courfe either to the earth, or from it, in a certain pofition. Thofe who maintain the magnetifm of the earth, have been confiderably embarraffed with fome of the natural phenomena. The variation of the compafs firft ftiowed that the needle was not influenced by thofe points on which the earth turns round in its diurnal courfe : but this was eafily folved by another hypothefis, viz. that the earth had two magnetical poles by which the needle is influenced, and two others round which it turns on its axis. This hypo¬ thefis was likewife embarraffed by the continual Ihift- ing of the variation either to the eaftward or weft- ward. Hence another fuppofition was made by Dr Halley; namely, that there is a large magnet inclofed within the body of the earth, which not being fixed to the external part, moved with refpeCI to it, and of confequence occafioned the variation. This was likewife overthrown, by obferving that the variation of the compafs was irregular, and differed fo much in different parts of the world, that it could not be owing to any regular caufe diffufed over the whole. Four magnetic poles were then fuppofed to lie within the earth, and to be moveable with refpeCt to each other; and that therefore the variation, whofe theory would now be very intricate, ought to be derived from all their aCrions conjointly : but, notwithftanding all this com¬ plication of poles, it might ftill be objected, that fome kind of regularity, not obferved in the variation of the magnetic compafs, ought to have taken place. So that as yet there is no theory which feems to explain the variation wuth any kind of certainty. The different hypothefes on this fubjeCt are more fully confidered under the article Variation : here we fliall only obferve, that with refpect to the magnetifm of the earth, the particulars already related feem to decide againft its exiftence. The moft unequivocal proof we have of the exitience of magnetifm is the attraction of iron; and this capi¬ tal mark is deficient, or at leaft has never be enproved, in the earth. The poles of all the magnets, we know, are fixed and invariable; nor are w-e obliged to have recourfe to magnets within magnets, or other uncouth fuppofitions, to account for tht?ir phenomena : if the e^rth is a magnet, therefore, the magnetifm it poffef- fes muft be of a kind fo different from the property ufually diftinguiflied by that name, that we can in no refpeft determine them to be the fame. Mr Cavallo is of opinion that “ the magnetifm of the earth arifes from the magnetifm of all the mag¬ netic fubftances contained in it, and intermixed with other bodies; that the magnetic poles of the earth may be confidered as the centres of the polarities of all the particular aggregates of the magnetic fub¬ ftances; and that thofe principal poles muft change place relatively to the furface of the earth, according as the particular aggregates of magnetic fubftances within the earth are in fome manner or other altered, fo as to have their power diminilhed, increafed, ap- 3X2 preached* 41? Theory. 436 M A G N Theory, preached, or removed from the principal poles.” But '“""'v this feems not by any means fufficient to account for the phenomena. The magnetic needle is indeed af- fefted by iron at a diftance, but that diftance is by no means conliderable. A magnet or needle in a houfe in one ftreet will not be affedled by a fmith’s fhop or iron warehoufe in another ; and there is an undoubted certainty that the magnetic needle is af- fefted on fume parts of the fea where no magnetic bo¬ dies can be prefent unlefs at a great diftance on land, or below the unfathomable depths of the ocean. Be- fides, let us imagine as many of thefe bodies as we pleafe within the furface of the earth, they muit be fuppofed, in order to account for the phenomena of the needle, to have their poles lying all nearly the fame way ; which can by no means be proved to be the cafe : not to mention that the attraction of iron would in fome places be very perceptible, which has never yet been experienced in any part of the world. Laftly, the hypothefis of the magnetifm of the earth feems to be entirely overthrown by the following cu¬ rious method of giving magnetifm inftantaneouily to an iron-bar. Take a bar of foft iron two or three feet long, and between an half and two inches thick; which defeription is very well anfwered by fome kit¬ chen pokers. Place it in the magnetical line, i. e.. the pofture affumed by the dipping needle ; or if a needle of this- kind is not at hand, place it ftraight up in any degree of north or fauth latitude beyond 40", or horizontally if nearer to the equator. Prefent then a magnetic needle to various parts of the bar; and it will be found, that in this country the lower half of the bar will repel the north end of the needle, and the upper half attraft it. In fouth latitudes the cafe will be reverfed ; for the lower end will attraft the north pole of the needle, and the upper end re¬ pel it. If the bar be not very ftiort, its extremities will alfo attraCf fmall bits of iron, as filings, &c. On turning it upfide down, the end which repelled the north pole of the needle before will now attracl it; the reafon of which is, that in the northern hemi- fphere the end which is neareft the earth always be¬ comes a north pole, and in the fouthern hemifphere a fouth one. Now it is plain, that confidering the di¬ ftance of both poles of the earth from the iron-rod, any kind of pofture in which we can place it muft ” make a difference fo trifling, that we cannot fuppofe the one to influence it more than the other. The whole phenomenon fhows that there is in the atmo- fphere a current of fluid either going into the earth, or coming out from it, which influences iron when held in the direttion in which itfelf moves. That it Hoes not influence the metal when lying horizontal¬ ly, may be owing to its want of fufficient breadth to render the effedt perceptible. The earth therefore is not a magnet, but is furrounded by a fluid whofs motion is produdfive of magnetifm in iron; and moft probably, though it produces this as it were acciden¬ tally, will be found to anfwer much more important purpofes in the economy of nature. The next que- ftion then is with regard to the fluid itfelf: and this, from many articles in this work, will appear to be the fame with that of eledtricity. Under the article Aurora Borealis. .<.thquake, Electricity, &c. it is fhown, that the folar light, abforbed by the equatorial regions of the earth, becomes fubjedt to E T I S M. Chap new laws of motion, adting in fhort as if it were ano¬ ther fluid, in which ftate we call it eleSricity, or the ehtiric jluld. In this ftate it paffes through the fub- ftance of the earth from the equator towards the polar regions, getting out again in the vicinity of the poles, afeending into the high atmofpherical regions, and then returning to the equatorial parts from whence it came. On this fuppofition, which appears to be greatly confirmed by various natural phenomena, it is eafy to fee, why in the northern and fouthern parts the direction of the currents iffuing from the earth, fliould always become more and more perpendicular to the earth as -we approach the poles, and on the contraiy why their diredtion muft be horizontal or nearly fo in the equatorial parts. The difeovery of this general caufe therefore feems to be the neareft. approach we can as yet make to the knowledge of the origin ef magnetical phenomena. In what manner. iron more than other metals is influenced by this fluid,, or why the diredlion of a current of eledlric matter either to or from the earth, ihould caufe fuch ftrong attradlions as magnetical bodies are fometimes endowed with, we have as yet no data for underftanding. ^Epinus’s theory of an accumulation of the eledlric fluid in one pole, and a deficiency of it in the other,, feems not to be teuible in any refpedt. It is, invpof- fible to ftiow why the mere turning of a bar upfide down fhould accumulate the fluid, unlefs it was a gra¬ vitating one in the end next the earth ; and though we fhould even make this extravagant fuppofition, it will be as difficult to account for the very fame fluid being repelled by the earth in the fouthern hemi¬ fphere : for if we account the north magnetifm. an ac¬ cumulation, we muft count the fouth one a deficiency; or if the fouth magnetifm is an accumulation, the oppofite one miift be. a deficiency; and whichever fuppofition we adhere to, the difficulties are equally great and unfurmountable. Chap. III. Practice of Magnetifm. T h is confifts in communicating the magnetic vir¬ tue from one body to another ; making artificial magnets, compafles, dipping-needles, &c. and invefti- gating the various phenomena refulting from bodies placed in different fituations. $ I. To communicate Magnetifm by the Loatlfone. Magnetifm is communicated merely by prefenting a piece of iron or fteel to one of the poles, of a mag¬ net or loadftone, even without touching it; though a ftrong and permanent power cannot be given without contadl, or even ftroaking the one upon the other for a number of times. In this, operation, that part of the ferruginous body which touches the pole of the magnet acquires the contrary magnetifm; tlmt is, if it touches the north pole, it will turn towards the fauth, et vice verfa. The power acquired is ftrongeft when foft iron is applied, weaker with hardened iron, and weakeft of all with hard fteel: but the permanency of it follows juft the reverie of this rule ; for fteel or hardened iron will preferve its virtue for many years, but foft iron lofes it the moment we withdraw the magnet. . When we defire a ftrong and permanent virtue, therefore, it is beft to ufe the hardeit fteel, and to impregnate it by means of one ot more pow- 2 erful Chap. III. M A G N Practice, erful magnets 5 taking care that the north pole of v*—' the magnet which gives the virtue be applied to that end of the fteel whith is to be made the fouth pole. The fame method may be employed in rendering a weak magnet more powerful than before, or in re- ftoring the virtue to one which has loft it. The operation of communicating magnetifm to pieces of fteel or iron, is called touching them ; and as this is of the utmoft utility in navigation, for the pur- pofe of giving polarity to needles, very confiderable pains have been beftowed upon the fubject, in order to difcover the methods of giving them the magnetic vir- tue in the moft effectual and permanent manner.— CCLXXVI When only one magnetic bar is to be made ufe of, one of its poles muft be applied as reprefented fig. 2. where C D reprefents the needle or fteel bar to be im¬ pregnated. The magnet A B is then to be drawn all along the furface of it, till it reaches the extremity D. The magnet Being then removed, muft be ap¬ plied to the extremity C, and drawn over the needle as before. Thus the needle muft be rubbed feveral times; by which means it will acquire a confiderable de- greeof magnetifm. In. this method, that other extremity of the needle which the magnet touched laft acquires the contrary magnetifm ; that is, if B be the north pole of the magnet, C will be the north pole, and D the fouth of the needle. This method, however, is never found to be equally effectual with that in which two magnets, or both poles of one magnet, are made afe of. To communicate magnetifm by means of two mag¬ netic bars, place the bar or needle A Bj fig. 3. upon a table; then fet the two magnetic bars C D, E F, ftraight upright upon it at a little diftance, equal on both fides from the middle of the bar A B, and in fuch a manner that the fouth pole D of one of the bars maybe neareft to that end of the bar A B which is to become the north pole, &c. Thefe tw© bars muft then be 11 id;gradually towards one extremity of the bar, keeping them conftantly at the fame diltanee from each other ; and when one of them, for in fiance CD, is arrived at A, then they muft be flid the contrary- way, till E F arrives at B ; and thus the bar A B muft be rubbed a greater or fmaller number of times, till it will be found by trial to have acquired a confi¬ derable power. When the magnetic bars are power¬ ful, and the bar A B of very good fteel, and not very large, a dozen offtrokes are fully fufficient; but when the bars are to be removed from the bar A B, care muft be taken to bring them- to the fame fituation where they were firft placed ; viz. at a little and equal diftance from the middle of the bar A B, from whence they may be lifted up. If it be required to communicate the greateft mag¬ netic power poffible, w'e may proceed in the following manner : 1. The magnetic bars may- be joined at top, as in fig. 4. interpofing a piece of wood, or any other fubftance excepting iron ; for thus the oppcfite poles being contiguous in the upper part, ftrengthen each other, and of ^onfequence the lower ones are alfo ftrengthened. 2. The bar to be rendered magnetic may be placed between the bars of foft iron, as fhown in the fame figure. 3. The magnetic bars may be in¬ clined the contrary way, as recommended by Mr iE- pinus, making an angle of about 15 degrees with the E T I S M. 437 bar A B. $ec fig. 5. In the fame manner may a PraAice. bar be rendered magnetic by an armed or horfe-lhoe »T " j magnet. In any of the methods hitherto mentioned, however, the bar to be rendered magnetic muft be ftroked on every fide ; and to let the magnetic centre fall juft in its middle, care muft be taken to ftroke one half of the bar juft as much as the other. Whenever a fteel bar, or, in general, any piece of ferruginous matter, is rendered magnetic by the application of two bars, or by the two poles of one magnet, the operation, is called the double touch, but the fingle touch when on¬ ly one bar is applied. Artificial magnets of a femicircular form, or lhaped like a horfe-fhoe, have the magnetifm communicated to them in the fame manner with thofe which are ftraight, only the magnetic bars ufed for this purpofe muft follow the curvature of the bar to be impreg- nated. Thus, fuppofe it is required to impregnate’ the crooked piece of fteel ABC, fig. 6. lay it flat on a table, and to its extremities apply the magnets DF^_ E G, joining their extremities F G with the conduc¬ tor or piece of foft iron F G. Apply then the mag¬ netic bars H I to the middle of the piece A B . and ftroke it;with them from end to end, following,, the diredtion of the bent'fteel, fo that on one fide of. it the magnetic: bars may ftand as reprefented by the dotted lines L K- When the piece of fteel has been, thus rubbed aTufScient number of times on one fide, it is then to be turned, and; rubbed in like manner on the other, until it has acquired a.fuffieient degree of magnetifm. From confidering that foft iron, or foft fteel, ac-. quires magnetifm very eafily, though it lofes it with equal facility, Mr Cavallo was induced to fuppofe, that. if magnetifm were to .be communicated to a piece of hard fteel while foftened by heat, and the metal were then to be hardened by pouring cold. water upon it while, in the aft of receiving the. magnetifm, it was poffible the virtue might be firft communicated to them, in a very high degree, and then be fixed by means of the hardening of the fteel. To determine this matter, fix magnetic bars were placed in an oblong earthen veffel, in .fuch a manner that the north moles of three of them might be oppofite to the foutli poles of the three others, forming two parcels of bars lying in the fame direftion, and about three indies afunder, which was nearly the length of the fteel-bar intended to be rendered magnetic. The bar. was made quite red hot, and in that Hate was placed between the magnetic bar?. Cold water was then immediately poured upon it; by which it was hardened to fuch a degree that the file could not touch it; but though it had thus received, a canfiderable degree of magnetifiu, the power was. not fuperior to what might have been communicated in the ordinary way. On repeating the experiment with Heel-bars of different fizes, it was found that fiiort bars receive a proportionaWy greater degree or power than long ones, and .that, becaufe the latter, cannot be fufficiently penetrated by the magnetic pow. r when the magnets-are placed at their ends; and if a. number of magnets be placed along the fides, in order to communicate a greater degree of virtue, it frequent¬ ly happens that the bar acquires a number of pole:. Our author is neverthelefs of opinion, that this me-f thod is of confiderable ufe t though by it we caimnr. comm 1 33s M A G N vPra&'ce. communicate any extraordinary degree of magnetifm, - " it is yet very ufeful in conftruiting large artificial mag¬ nets. For thus they will acquire a confiderable degree of power, without any additional trouble to the work¬ man, and mqy then be fully impregnated in the ufual way, which fcannot be done without a great deal of labour when the operation ia begun upon bars which have no Virtue at all. $ 2. To co'mmumcatt the Magnetic Virtue ’without any Magnet either natural or artificial. This may be done with a foft iron-bar in the man¬ ner already related, viz. by turning it in a pofition perpendicular to the furface of the earth, or any other excepting a line dire&ly perpendicular to the dipping- needle. The -magnetifm thus acquired, however, is always weak, and is inftantaneoufly loll; while a fteel- bar will not receive any perceptible degree of magne¬ tifm by this method. But if an iron-bar be made red hot, and left to cool in the magnetic line, or if it be repeatedly {truck with a hammer while in that line, it will acquire a fmall degree of permanent magnetifm; though this alfo will foon vanifir by leaving the bar in an improper pofition, or by inverting and ftriking it again. The magnetifm lafts longer in proportion to the hardnefs of the iron : but a longer time will be requi¬ red to give it the degree of virtue it is capable of re¬ ceiving by this method. If an iron bar is left for a long time in the direction of the magnetic line, or even in a perpendicular pofture, it will fometiraes ac¬ quire a great degree of power. Mr Boyle makes men¬ tion of an iron-bar, ten feet long, which had acquired fo much virtue by Handing in this pofture, that it ex¬ ceeded a loadftone of three pounds and an half weight, and would turn the needle at eight or ten feet diftance. Even tongs, pokers, and other kitchen utenfils, by be¬ ing often heated, and fet to cool again in an ereft po¬ fture, are frequently obferved to gain a magnetic vir¬ tue. Sometimes iron-bars, which were not capable of receiving permanent magnetifm on account of their foftnefs, have, merely by expofure to the atmofphere For a great length of time, acquired a confiderable de¬ gree of power ; at the fame time it has been remark¬ ed, that thefe bars became much harder by this ex¬ pofure ; the caufe of which has not yet been difco- vered. Iron or fteel acquires a very perceptible degree of magnetifm by drilling, hammering, or other methods by which they are put into violent action. The caufe of this magnetifm Mr Cavallo looks’ for in the earth itfelf, the changeable nature of the metal by heat or cold, and tha vibratory motion into which its parts are accidentally put. “ For the fame reafons (fays he) it feems that magnetifm, in certain cafes, is produced by ele&ricity ; the particulars obferved concerning which are the following :—When the bar or needle is laid horizontally in the magnetic meridian, whichever way the (hock of an eledtric jar or batteiy enters, the end of the needle which lies towards the north acquires the north polarity, viz. the power of turning towards the north when freely fufpended, the other end ac¬ quiring the fouth polarity. If the bar before it re¬ ceives the (hock has fome polarity, and is placed with its poles contrary to the ufual direction, then its ori¬ ginal polarity is always diminilhed, and fometimes re- E T I S M. Chap. III. verfed. When the needle is {truck Handing perpendi- Practice, cularly in this hemifphere, the lower end becomes the '-v—d north pole, even when it had fome magnetifm before, and receives the (hock while Handing with its fouth pole downwards. When all other circumftances are alike, the degree of magnetifm received feems to be the fame, whether the needles are (truck while {land¬ ing horizontally in the magnetic meridian or perpen¬ dicular to the horizon. When a needle is placed in the magnetic equator, a (hock .through its length very feldom renders it magnetic ; but if the (hock be paf- fed through its width, it acquires the virtue, the extre¬ mity which lay towards the weft generally becoming the north pole. If a needle or bar ftrongly magnetic, or a natural magnet, be {truck by the elcdtric (hock, its power is thereby diminifiied. When the (hock is too ftrong, fo that the needle is thereby rendered con- fiderably hot, it acquires either no magnetifm at all or a very fmall degree of it. Hence a ftroke of light¬ ning often renders pieces of iron or fteel magnetic, as well as thofe bodies which naturally contain iron, aa fome bricks, &c.” There are various methods of communicating a per¬ manent magnetifm to ferruginous bodies, by means of a bar rendered magnetic by the earth ; of which the moft fimple is that defcribed by Mr Marcel, whofe ex¬ periments were made in the year 1726. Being em¬ ployed in making fome obfervations on the magnetic power which he found in great pieces of iron, he took a large vice weighing 90 pounds, in which he fixed * fmall anvil weighing 12 pounds. The fteel to which he wifired to give the magnetic virtue was laid upoi* the anvil in a north and fouth pofition, which happen¬ ed to be the diagonal of the fquare furface of the lat¬ ter. He then took a piece of iron an inch fquare, and 33 inches long, weighing about eight pounds, having one end rounded and brightly polifhed, the other be¬ ing tapered. Holding then the fteel fall upon the anvil with one hand, he took the iron-bar in the other; and holding it perpendicularly, he rubbed the fteel hard with the rounded part towards him from north to fouth, always carrying the bar far enough round about to begin again at the north. Having thus given 1 o or 12 ftrokes, the fteel was turned upfide down, and rubbed as much on the other fide. Proceeding in this manner till it had been rubbed 400 times, the fteel was as ftrongly magnetic as if it had been touch¬ ed by a powerful loadftone. The place where he be¬ gan to rub was always the north pole. In thefe ex¬ periments it fometimes happened that the virtue was imparted by a few ftrokes ; nay, by a fingle one, a fmall needle was made to receive a very confiderable power. Thus he imparted to two compafs needle* fuch a degree of magnetic power, that one took up ^ths and another a whole ounce of iron ; and though thefe needles were anointed with linfeed oil to keep them from rufting, and a hard coat was thus formed upon them, they neverthelefs retained their virtue. Thus alfo a knife was made fo ftrongly magnetical, that it would take up an ounce and three quarters of iron. Four fmall pieces of fteel, each an inch long and Ath of an inch broad, as thin as the fpring. of a watch, were thus impregnated with the magnetic vir¬ tue, and then joined into a fmall artificial magnet; which at its firft formation took up eight times its own I Chap. in. MAGNETISM. Practice. 0wn weight of iron ; and after being fix years kept in fine powder, the next thing was to a make pafte of it, Pi-ad; the moft carelefs manner, was found to have rather and that with fome vehicle which would contain a gained than loft any thing of its virtue. In the courfe confiderable quantity of the phlogiftic princip'e : for of his experiments, Mr Marcel found, that the end at this purpofe, he had recourfe to linfeed oil in preference which he began to rub was always the north pole, to all other fluids. With thefe two ingredients only whatever pofition the fteel was laid in. On rubbing a he made a ftiff pafte, and took particular care to knead piece of fteel from one end to the middle, and then it well before he moulded it into convenient ftiapes. from the other end to the middle, it acquired two Sometimes, while the pafte continued in its foft ftate north poles, one at each end, the middle being a fouth he would put the imprefiion of a feal upon the feveral pole. Beginning to rub from the middle towards pieces; one of which is in the Britilh Mufteum. This each end, he found a north pole in the middle and a pafte was then put upon wood, and fometimes on tiles, fouth pole at each extremity. in order to bake or dry it before a moderate fire, at Magnetifm may be communicated to a fmall piece about the diftance of a foot or thereabouts. He found of foft fteel in the following manner. Take two iron that a moderate fire was moft proper, becaufe a greater Plate bars of about an inch fquare, and upwards of three degree of heat made the compofition frequently crack (BpLXXVI feet in length, keep them in the magnetical line, or in many places. The time required for the baking or in a pependicular pofture, as reprefented fig. 7. Let drying of this pafte was generally about five or fix the piece of fteel CB be either fattened to the edge of hours before it attained a fufficient degree of hardnefs. a table or held by an afliftant; and placing the lower When that was. done, and the feveral baked pieces extremity of the bar AB, and the upper extremity of were become cold, he gave them their magnetic virtue the bar CD, on oppofite fides, and in the middle of in ,any direction he pleafed, by placing them between the fteel, ftroke the latter from the middle towards its the extreme ends of his large magazine of artificial extremities, moving both bars at the fame time. When magnets for a few feconds or more as he faw occafion. both are arrived at the extremities of the fteel, re- By this method the virtue they acquired was fuch, move them from it, and apply them again to the mid- that, when any of thofe pieces were held between two die. Do fo for 40 or 50 times, and the fteel will be of his beft ten-guinea bars, with its poles purpofely found to have a confiderable degree of magnetic power, inverted, it immediately of itfelf turned about to reco- Care, however, muft be taken, in removing the bars, ver its natural direflion, which the force of thofe very not to draw them along the furface of the fteel, or the powerful bars was not fufficient to counteraift. experiment will not fucceed, becaufe the magnetifm In the 66th volume of the Philofophical Tranfac- is deftroyed by the contrary ftrokes. tions we have the following account, from Dr Fother- The late Dr Godwin Knight poflefled a furpri- gill, of Dr Knight’s method of imitating natural mag- fing fkill in magnetifm, being able to communicate nets, but which is by Mr Cavallo fuppofed to be an extraordinary degree of attra&ive or repulfive owing to fome miftake or mifinformation. “ I do virtue, and to alter or reverfe the poles atpleafure; not know (fays he), that ever the doftor (Dr Knight) but as he refufed to difeover his methods upon any left behind him any defeription of a compofition he terms whatever (even, as he faid, though he fhould had made to form artificial loadftones. I have feen receive in return as many guineas as he could carry), in his pofleffion, and many other of his friends have thefe curious and valuable fecrets have died with him. likewife feen, fuch a compofition ; which retained the In the 69th volume of the Philofophical Tranfadtions, magnetic virtue in a manner much more fixed than however, Mr Benjamin Wilfon hath given a procefs either any real loadftone or any magnetic bar how- which at leaft difeovers one of the leading principles ever well tempered. In the natural ones he could of Dr Knight’s art, and may perhaps be a means of change the poles in an inftant, fo likewife in the hard- difeovering the whole to thofe who fhall be lefs refer- eft bars; but in the compofition the poles were im- ved. The dodtor’s procefs, according to Mr Wilfon, moveable. He had feveral fmall pieces of this com- was as follows. Having provided himfelf with a great pofition which had ftrong magnetic powers. The quantity of clean iron-filings, he put them into a large largeft was about half an inchin breadth, very little tub that was more than one third filled with clean wa- longer than broad, and near a quarter of an inch ter; he then, with great labour, worked the tub to thick. It was not armed, but the ends were power- and fro for many hours together, that the fridlion fully magnetic ; nor could the poles be altered, tho’ between the grains of iron by this treatment might it was placed between two of his largeft bars, and they break off fuch fmaller parts as would remain fufpended were very ftrongly impregnated. The mafs was not in the water for a time. The obtaining of thefe very very heavy, and had much the appearance of a piece fmall particles in fufficient quantity feemed to him to of black lead, though not quite fo ftiining. I believe be one of the principal defiderata in the experiment, he never divulged this compofition ; but I think he The water being by this treatment rendered very once told me, the bafis of it was filings of iron redu- muddy, he poured the fame into a clean iron veffel, ced by long continued attrition to a perfeftly impal- leaving the filings behind ; and when the water had pable ftate, and then incorporated with fome pliant flood long enough to become clear, he poured it out matter to give it due confiftence.” carefully, without difturbing fuch of the fediment as From thefe accounts it appears that the bafis of flill remained, which now appeared reduced almoft to Dr Knight’s artificial loadftones was the black pow- impalpable powder. This powder was afterwards remo- der to which iron filings are reduced by water, and ved into another veffel in order to dry it; but as he which is known among the apothecaries by the name of had not obtained a proper quantity thereof by this Martial JEthiops : whence Mr Cavallo gives the fol- cne ftep, he was obliged to repeat the procefs many lowing rece.pt for imitating the natural magnets.— times. Having at laft procured enough of this very *< Take fome martial sethiops, or, which is more cafily- 43$ A G N E T I S M, .415.40 M Pra&lce ' eaHly procnred, reduce into very fine powder the feales —v~~~ 0f iron which fall from red-hot iron when hammered, and are found abundantly in fmiths ftiops. Mix this .powder with drying linfeed oil, fo as to form it into a very ftiff pafte, and fliape it m a mould fo as to .give it any form you require ; whether of a terrella, a human head, or any other. This done, put it into a warm place for fome weeks, and it will dry fo as to become very hard ; then render it magnetic by rthe application of powerful magnets, and it will ac¬ quire a confiderable power.” As tc the method of making artificial magnets of fteel, none has fucceeded in it better than Mr Canton, -whofe procefs is as follows. Procure a dozen of bars; fix ef foft fteel, each three inches long, one quarter of an inch broad, and one twentieth of an inch thick ; with two pieces of iron, £ each half the Length of one of the bars, but of the -fame breadth and thic-knefs-: alfo fix pieces of hard fteel, each five inches and a half long, half an inch broad, and three-twentieths of an inch thick ; with two pieces of iron of half the length, but the whole breadth and thicknefs of one of the hard bars; and let Pla'e ^ kars t>e marked with a line quite round them at aOCLXXVI‘one en(b Then take an iron .poker and tongs (fig. 8.), or two bars of iron, the'larger they are and the longer they have been ufed, the better; and fixing the po- ier. upright' between the knees, hold to it, near the top, one of the foft bars, having its marked end down¬ wards, by a piece of fewing filk, which muft be pull¬ ed tight by the left hand, that the bar may not Aide: then grafping the tongs with the right hand, a little below the middle, and holding them nearly in a ver¬ tical pofition, let the bar be ftroked by the lower end from the bottom to the top, about ten times on each fide, which will give it a magnetic power fufficient to -lift a fmall key at the marked end : which end, if the bar was fufpended on a point, would turn towards the north, and is therefore called the north pole; and the unmarked end is, for the fame reafon, called thefouth pole. Four of the foft bars being impregnated after this manner, lay the two (fig. 9.) parallel to each o- ther, at the diftance of one fourth , of an inch, be¬ tween the two pieces of iron belonging to them, a north and a fouth pole againft each piece of iron : then take two of the four bars already made magnetical, and place them together fo as to make a double bar in thicknefs, the north pole of one even with the fouth pole of the other : and the remaining two being put to thefe, one on each fide, fo as to have two north and two fouth poles together; feparate the north from the fouth poles at one end by a large pin, and place them perpendicularly with that c:.d downward on the middle of one of the parallel bars, the two north poles to¬ wards its fouth and the two fouth poles towards its north end : Hide them backward and forward three or four times the whole length of the bar, and removing them from the middle of this, place them on the middle of the other bar as before directed, and go ‘over that in the fame manner ; then turn both the bars ■the other fide upwards, and repeat the former opera¬ tion : this being done, take the two from between the pieces of iron ; and, placing the two outermoft of the -touching bars in the room, let the other two be the -outermoft of the four to touch thefe with ; and this procefs being repeated till each pair of bars have been 191. Chap. IF. touched three or four timrs over, which will give them Practice. a confiderable magnetic power, put the half-dozen to- gether after the manner of the four (fig. 10.), and touch them with two pair of the hard bars placed be¬ tween their irons, at the diftance of about half an inch from each other : then lay the foft bars afide ; and with the four hard ones let the other two be impreg¬ nated (fig. 11.), holding the touching bars apart at the lower end near two tenths of an inch; to which diftance -let them be feparated after they are fet on the parallel bar, and brought together again before they are taken off: this being obferved, proceed according to the method deferibed above, till each pair have been touched two or three times over. But as this vertical way of touching a bar will not give it quite fo much of the magnetic virtue as it will receive, let each pair be now touched once or twice over in their parallel po- fition between the irons (fig, 12.), with two of the bars held horizontally, or nearly fo, by drawing at the fame time the north pole of one from the middle over the fouth end, and the fouth of the other from the middle over the north end of a parallel bar; then bringing them to the middle again, without touching the parallel bar, give three or four of thefe horizontal ftrokes to each fide. The horizontal touch, after the vertical, will make the bars as ftrong as they poflibly can be made, as appears by their not receiving any addition¬ al ftrength, when the vertical touch is given by a great number of bars, and the horizontal by thofe of a fuperior magnetic power. This whole procefs may be gone through in about half an hour 5 and each of the large bars, if well hardened, may be made to lift 28 Troy ounces, and fometimes more. And when thefe bars are thus impregnated, they will give to an hard bar of the fame fize its full virtue in lefs than two minutes ; and therefore will anfwer all the pur- pofes of magnetifm in navigation and experimental philofophy much better than the loadftone, which is known not to have a lufficient power to impregnate hard bars. The half dozen being put into a cafe (%• 13-) *n a manner as that two poles of the fame denomination may not be together, and their irons with them as one bar, they will retain the vir¬ tues they have received; but if their power (hould, by making experiments, be ever fo far impaired, it may be reitored without any foreign afliftance in a few minutes. And if, out of curiofity, a much larger fet of bars ftiould be required, thefe will communicate to them a fufficient power to proceed with; and they may, in a Ihort time, by the fame method, be brought to tlveir full ftrength. To expedite the procefs of making magnets, the bars ftiould b$ fixed in a groove, or between brafspins, to prevent them from Aiding ; or they may be kept fteady by mians of a weight and ruler, as in fig, 11. f 3. Apparatus for making Experiments in Magnetifm, with an Account of various Experiments tending to il- hflrate and prove the Laws already laid down. The apparatus neceffary in magnetics is but fmall; confifting only of a few magnets pr magnetic bars, a magnetic horizontal needle or compafs, and a dipping needle. For thofe who do not ifitend to be very ac¬ curate, a common artificial horfe-ihoe magnet and a few fewing needles may be fufficient; but where great¬ er accuracy is required, it will then be neceffary to have Chap. nr. MAGNETISM. 441 Pra&ice. have a good fet ot magnetic bars, commonly fix ; a not be perceived in this way, it ittuft be put to fwim Pradtce. few fmall magnetic needles, a larger needle in a box upon water in an earthen or wooden veffel, by means —v““—J with a graduated circle, and a dipping needle ; to of a piece of wood or cork. In this way the attrac- which may be added feme pieces of fteel-wire, a few tion will be much more eafily manifefted by the body bars of foft iron, &c. coming towards the magnet when approached to it. The magnetic bars ought to be made of the beft It will fometimes be neceffary to bring the magnet fleel, and tempered quite hard. There is not, how- within one-tenth part of an inch of the body to be ever, any method known as yet by which we can di- attracted; and as the latter advances, care muft be ta- ftinguiih the kind of fteel which is beft for magnetical ken to withdraw the magnet; for if they be fuffered purpofes. It will be proper, therefore, previous to the to ftrike againft each other, the body, if hard, will conftru&ion of the bars, to try the quality of the metal generally recede ; and it will likewife be proper to in the following manner: Take a piece of it about prefent the magnet to the body when the latter is at three inches long and a quarter of an inch thick, reft. no matter whether round or fquare ; make it red-hot, By letting the fubftanees to be attracted fwim upon and in that condition plunge it into cold water, which quickfilver, a ftill fmaller degree of attraftion can be hardens it fo that a file will not touch it. Apply then perceived. In ufing this fluid, the following particu- two powerful magnetic bars; holding the north pole lars muft be attended to. r. The aperture of the veflel of one to one extremity of the fteel, and the fouth-pole in which the quickfilver is kept muft be at leaft fix in- of the other magnet to the other extremity of the dies in diameter. The reafon of this is, that, as the fur- fteel. Having kept them in this pofition for about face of the quickfilver defcends near the fides of the vef- a minute, feparate them from the fteel, and then try fel, the curvature of furface formed by that defeent is whether it will keep fufpended a key or other piece proportionably greater in the narrow veflels than larger of iron which may be at hand. By treating in this ones. If the veflel is only three or four inches in diame- manner pieces of different fteel, it will eafily be per- ter, the body to be attracted will perpetually run from ceived which is capable of lifting the greateft weight, one fide to another: a common foup-plate, however, will and confequently the moft proper for the conftrudtion be found a very convenient veffel for this purpofe. 2. It of the bars. will be neceffary to have the quickfilver very pure; and Having determined the quality of the material, the as it is very difficult to preferve it in that ftate, it next thing to be conlidered is the ffiape of the bars ; muft be frequently paffed through a piece of writing for unlefs the length and breadth of them bear a cer- paper rolled up conically, and having a fmall aperture of tain proportion to each other, they will not be ca- about j^th of an inch diameter in the lower part. 3. The pable of receiving their utmoft power. The beft ffiape, neighbouring air muft not be difturbed, that the body according to Mr Cavallo, is when the length is ten may be kept without motion; and, while in this ftate, times the breadth and 20 times the thicknefs. The one of the poles of the magnet is to be prefented to it ufual dimenfions are five inches in length, half an inch in the fame manner as when the experiment is tried in breadth, and a quarter of an inch in thicknefs. Cy- with water. It was in this manner that Mr Cavallo lindrical bars are lefs convenient.—It is not abfolutely made his experiments on the magnetifm of brafs and neceffary to poliffi thefe bars; though it will be better other metals, of which we have already given an ac- to do fo, they being in this ftate much lefs liable to count. ruft. One extremity is generally marked with a line If it be fufpefted that the given body have fome all round, to diftinguiffi one pole from another ; and magnetifm already, the very fame procefs is required ; it is the north pole which is ufually marked in this only obferving to prefent a piece of foft and clean iron manner. When kept together, the magnetic bars to the body when fwimming upon water or quick- muft be placed alternately with the marked end of one filver. A piece of iron about half an ounce weight, contiguous to the unmarked end of the other. Two and an inch in length, will be very proper for this pieces of foft iron called fupports always belong to purpofe. each fet of bars. Each of thefe is equal in fize to the 2. To Jind the poles of a magnetic body.—Prefent the half of one of the bars ; fo that when placed contigu- various parts of the body fucceffively to one of the ous to one another in one direction, they may equal poles of a magnetic needle, and it will foon be difeo- one of the bars. Thefe are ufeful when other bodies vered which parts of the given body are poffeffed of are to be rendered magnetic. For the conftruftion of a contrary polarity by the needle’s Handing perpendi- the Compass and DipewG-Needley fee thefe articles. cularly towards them. One of the poles being thus .. . . , . , difeovered, turn the oppolite pole of the magnetic Experiments with the above dofenbed Apparatus. needie towards the body, and it will foon find out its I. To determine whether any fubftance is attraSled by other pole. When the magnetifm of the body to be the magnet or not.—If the fubftance to be examined examined is very weak, there will be danger of rever- contains iron, the attraction will evidently ffiow it- fing the polarity by bringing the needle too near; and felf on bringing near it one of the magnetic bars, as the diftance at which this effedt will take place can- The quantity of attraction will always be known by not be determined, it will always be proper to keep it the force requilite to feparate them, and its proportion fo far diftant that it can only fenfibly affeCt the needle, is eftimated by the degree of that force. Thus if Where there are only two poles, they may be found two ounces are required to feparate a magnet from out merely by fprinkling fome iron-filings upon the any fubftance, the degree of attraction is reckoned body ; for thefe will ftand ereCt upon the polar points, double to that which requires only one ounce to fepa- They may be diftinguiffied by fetting the body to float rate them. If the attraction be fo finall that it can- in water, or tying it to a thread and letting it hang Vot. X. Part II. freely. .442 M A G N Pra&ke. freely, (o that one may turn towards the north and the other towards the fouth. This method, however, will not fucceed. when there are more than two poles, nor even very well in that cafe, unlefs they lie in parts direftly oppofite to one another. 3. Effects of the magnet on foft iron,—Having placed a magnetic needle upon a table, bring a bar of fofr~ iron about eight inches long and a quarter of an inch thick, lb near that it may draw one end of the needle a little out of the way. In this iituation approach gra¬ dually the north' pole of a magnet to the other extre¬ mity of the bar, and the north end of the needle will recede from the bar more and more in proportion as the magnet is brought nearer the bar. If the expe¬ riment be repeated with die other pole of the maguet, the north end of the needle will then be attra&ed by the bar. The realon of this is, that when we bring the north pole of the magnet towards one end of the bar, the latter acquires a fouti polarity, and the other one of courfe a north polarity. Hence the needle is repelled, be’caufe magnetic poles of the fame kind re¬ pel one another ; but when the fouth pole is brought near the end of the bar, that end which it approaches receives the north polarity, and the other of courfe the fouth ; whence the needle, inltead of being re¬ pelled, is now attratted. By approaching a fmall magnetic needle to different parts of the bar, it will be found that one half of it pofTeffes one kind of po¬ larity, and the other the contrary kind ; the magnetic centre, however, or the limit betwixt the two pola¬ rities, is not always in the middle of the bar, but is generally nearer that end which is prefented to the magnet. The difference increafes as the bar is lengthen¬ ed ; and when the latter exceeds a certain length, it ac¬ quires feveral poles. This depends bn the ilrength of the magnet; and when it happens, the iirft magnetic centre comes very near to the end of the bar which Hands next the magnet, and fucceffive centres are formed betwixt every two poles. Thus, fuppofing the north pole of a magnet to be brought to the end of fiich a bar, the end it touches becomes a fouth pole; a few inches farther a north polarity takes place, after that a fouth polarity, and fo on. The poles become weaker and weaker as they recede from the end which the magnet touches; fo that if the bar be of conii- derable length, they totally vanifh long before they come to the other end. Hence, by applying a mag¬ net to one end of a long bar, we will not thereby give any magnetifm to the other; and this will happen when a magnet capable of lifting two pounds of iron is applied to a bar of about an inch fquare and five feet long. 4. The a8ion of magnetifm Jhotun by the repulfon of tr ' ^LVG^ETI? Chap. IV. Entertain- muft be a pin that communicates with the magnet, ing Experi-an(j which it may be placed in different pofitions : . nients- , this pin muft be fo placed as not to be vifible to the v " fpeftators. Strew feme fteel-filing» or very fmall nails over that part of the table where the magnet is. Then afk any one to lend you a knife, pr a key, which will then attract part of the nails or filings. Then placing your hand in a carelefs manner on the pin at the end of the table, you alter the pofition of the magnet; and giving the key to any perfen, you defire him to make the experiment, which he will then not be able to perform. You then give the key to another perfon ; at the fame time placing the magnet, by means of the pin, in the firft pofition, when that perfon will immediately perform the experiment. 4. The myjlerious watch. You defire any perfon to lend you his watch, and afk him if he thinks it will or will not go when it is laid on the table. If" he fay it will, you place it over the end of the magnet, and it will prefently flop (a). You then mark with chalk, or a pencil, the precife point where y#u placed the watch ; and moving the pofition of the magnet, as in the laft experiment, you give the watch to another perfon, and defire him to make the experiment; in which he not fucceeding, you give it to a third perfon, at the fame time replacing the magnet, and he will immediately perform the ex¬ periment The magnetic dial. Provide a circle of wood or ivory, of about five or fix inches diameter, as fig. 19.which muft turn quite free on the ftand B (fig. 20.) in the circular border A : on the circle muft be placed the dial of pafteboard C (fig. 19.) whofe circumference is to be divided into 12 e- qual parts, in which muft be inferibed the numbers from 1 to 12, as on a common dial. There muft be a fmall groove in the circular frame D, to receive the pafte¬ board circle : and obferve, that the dial muft be made to turn fo free, that it may go round without moving the circular border in which it is placed. Between the pafte-board circle and the bottom of the frame, place a fmall artificial magnet E (fig. 21.), that has a hole in its middle, or a fmall protuberance. On the outfide of the frame place a fmall pin P, which ferves to ftiow where the magnetic needle I, that is placed on a pivot at the centre of the dial, is to ftop. This needle muft turn quite free on its pivot, and its two fides fhould be in exadt equilibrium. Then provide a fmall bag, that has five or fix divifions, like a lady’s work-bag, but fmaller. In one of thefe divifions put fmall fquare pieces of pafteboard, on which are wrote the numbers from 1 to 12, and if you pleafe you may put feveral of each number. In each of the other divifions you muft put 12 or more like pieces; obferving, that all the pieces in each divifion muft be marked with the fame num¬ ber. Now the needle being placed upon its pivot, and turned quickly about, it will neceffarily ftop at that point where the north end of the magnetic bar is pla"ed, and which you previoufly know by the fituation of the fmall pin in the circular border. You therefore pre- 445 fent to any perfon that divifion of the bag which con* Entertain- tains the feveral pieces on which is wrote the number in£ E*Per*' oppofite to the north end of the bar, and tell him to f draw any one of them he pleafes. Then placing the needle on the pivot, you turn it quickly about, and it will necefiarily ftop, as we have already faid, at that particular number. Another experiment may be made with the fame dial, by defiring two perfons to draw each of them one number out of two different divifions of the bag ; and if their numbers, when added together, exceed 12, the needle or index will ftop at the number they ex¬ ceed it; but if they do not amount to 12, the index will ftop at the fum of thofe two numbers. In order to perform this experiment, you muft place the pin againft the number 5, if the two numbers to be drawn from the bag be I o and 7 ; or againft 9 if they be 7 and 2.—If this experiment be made immediately after the former, as it ealily may, by dexteroufly moving the pin, it will appear the more extraordinary. 6. The dexterous painter. Provide two fmall boxes, as M and N (fig. 22), four inches wide, and four inches and a half long. Let the box M be half an inch deep, and N two-thirds of an inch. They muft both open with hinges, and fhut-Avith a clafp. Have four fmall pieces of light wood, (fig. 23, 24, 25, 26.) of the fame fize with the infide of the box M (fig. 22.), and about one third of an inch thick. In each of thefe let there be a groove, as AB, EF, CD, GH j thefe grooves muft be in the middle, and parallel to two of the fides. In each of thefe grooves place a ftrong artificial magnet, as fig. 27. The poles of thefe magnets muft be properly difpofed with regard to the figures that are to be paint¬ ed on the boards ; as is expreffed in the plate. Cover the bars with paper, to prevent their being feen ; but take care, in pafting it on, not -to wet the bars, as they will thereby ruft, which will confiderably impair their virtue. When you have painted fuch fubjefts as you choofe, you may cover them with a very thin clear glafs. At the centre of the box N, place a pivot (fig. 28.), on which a fmall circle of pafteboard OPQR (fig. 29.) is to turn quite free j under which is to be a touched needle S. Divide this circle into four parts, which are to be difpofed with regardto the poles of the needle, as is expreffed in the figure. In thefe four divifions you are to paint the like fubjefts as are on the four boards, but reduced to a fmaller compafs. Cover the infide of the top of this box with a paper M, (fee fig. 22.) in which muft be an opening D, at about half an inch from the centre of the box, that you may perceive, fuc- ceffively, the four fmall pidtures on the pafteboard circle juft mentioned. This opening is to ferve as the cloth, on which the little painter is fuppofed’to draw one of the pidtures. You may cover the top of the-box, if you pleafe, with a thin glafs. Then give the firft box- to any perfon, and tell him to place any one of the four pidtures in it privately, and, when he has clofed it, to give it you. You then place the other box over it j when the moveable circle, with the needle, will turn till it comes in the fame pofition with the bar in the I. firft. MAGNETISM. (a) To perform this experiment, you muft ufe a ftrong magnetic bar ; and the bidance of the watch rouft not be of brafs, but fteel. 446 Kntcrtav ing Eif « inents. M A G N • firil box. It will then appear that the little dexterous ‘‘painter has already copied the picture that is inclofed __ in the firft box. . 7. The cylindrk oracle. Provide a hollow cylinder of about fix inches high and three wide,asAB,fig.30. Its cover CD muftbe made to fix on any way. On one fide of this box or cylin¬ der let there be a groove, nearly of the fame length with that fide; in which place a fmall fteel bar (fig. 31.) that is ftrongly impregnated, with the north pole next the bottom of the cylinder. On the upper fide of the cover deferibe a circle ; and divide it into ten equal parts, in which are to be wrote the numbers from 1 to 10, as is expreffed in fig. 32. Place a pivot at the centre of this circle, and have ready a magnetic needle. You are then to provide a bag, in which there are feveral divifions, like that deferibed in exper. 5. In each of thefe divifions put a number of papers, on which the fame or fimilar queftions are wrote. In the cylinder put feveral diiferent anfwers to each que- ftion, and feal them up in the manner of fmall let¬ ters. On each of thefe letters or anfwers is to be wrote one of the numbers of the dial or circle at the top of the box. You are fuppofed to know the num¬ ber of the anfwers to each queftion. You then offer one of the divifions of the bag, obferving which divi- fion it is, to any perfon, and defire him to draw one of the papers. Next put the top on the cylinder, with that number which is wrote on the anfwer dire&ly over the bar. Then placing the needle,on the pivot, you turn it brilkly about, and it will naturally ftop at the number over the bar. You then defire the perfon who drew the queftion to obferve the number at which the needle ftands, and to fearch in the box for a paper with the fame number, which he will find'to contain the anfwer.—You may repeat the experiment by of¬ fering another divifion of the bag to the fame or ano¬ ther perfon ; and placing the number that correfponds to the anfwer over the magnetic bar, proceed as be¬ fore. It is eafy to conceive of feveral anfwers to the fame queftion. For example, fuppofe the queftion to be, Is it proper to marry ? Anfwer 1. While you are young, not yet; when you are old, not at all. 2. Marry in hafte, and repent at leifure. 3. Yes, if you can get a good fortune ; for fome- thing has fome favour, but nothing has no flavour. 4. No, if you are apt to be out of humour with yourfelf; for then you will have two perfons to quar¬ rel with. 5. Yes, if you are fure to get a good huiband (wife); for that is the greateft blefling of life. But take care you are fure. 6. No, if the perfon }mu would marry is an angel; unlefs you will be content to live with the devil. 8. The enchanted ewer. Fix a common ewer, as A, (fig. 33.) of about 12 inches high, upon a fquare ftand BC; in one fide of which there muft be a drawer D, of about four inches fquare and half an inch deep. In the ewer place a hollow tin cone, inverted, as AB, fig. 34. of about four inches and a half diameter at top, and E T I S M. Chap. IV. two inches at bottom ; and at the bottom of the Entertain- ewer there muft likewife be a hole of two inches ing ExVeri' diameter. , nie'lts- . Upon the ftand, at about an inch diftance from the Y bottom of the ewer, and dire&ly under the hole, place a fmall convex mirror H, of fuch convexity that a per- fon’s vifage, when viewed in it, at about 15 inches di¬ ftance, may not appear above two inches and a half long. Upon the ftand likewife, at the point I, place a pi¬ vot of half an inch high, on which muft be fixed a touched needle RQ^ inclofed in a circle of very thin pafteboard OS, fig. 35. of five inches diameter. Divide this pafteboard into four parts, in each of which draw a fmall circle : and in three of thefe circles paint a head as x, y, z, the drefs of each of which is to be dif¬ ferent, one, for example, having a turban, another a hat, and the other a woman’s cap. Let that part which contains the face in each picture be cut out, and let the fourth circle be entirely cut out; as it is ex¬ preffed in the figure. You muft obferve, that the poles of the needle are to be difpofed in the fame manner as in the plate. You are next to provide four fmall frames of wood or pafteboard, n" 1, 2, 3, 4, each of the fame fize with the infide of the drawer. On thefe frames muft: be painted the fame figures as on the circular pafte¬ board ; with this difference, that there muft be no part of them cut out. Behind each of thefe pictures place a magnetic bar, in the fame dire&ion as is expreffed in the plate ; and cover them over with paper, that they may not be vifible. Matters being thus prepa¬ red, you firft place in the drawer the frame n° 4. on which there is nothing painted. You then pour a final! quantity of water into the ewer, and defire the com¬ pany to look into it, afkingthem if they fee their own figures as they are. Then you take out the frame n t>4. and give the three others to any one, defiring him to choole in which of thofe dreffes he would appear. Then put the frame with the drefs he has chofe in the drawer; and a moment after, the perfon looking in¬ to the ewer will fee his own face funounded with the drefs of that picture. For, the pafteboard circle (di¬ vided, as above deferibed, into four parts, in three of which are painted the lame figures as on three of the boards, and the fourth left blank) containing a'mag¬ netic needle, and the four boards having each a con¬ cealed magnet; therefore, when one of them is put in the drawer under the ewer, the circle will correfpond to the pofition of that magnet, and confequently the perfon looking into the top of the ewer will fee his own face furrounded with the head-drefs of the figure in the drawer.—This experiment, well performed, is highly agreeable. As the pafteboard circle can contain only three heads, you may have feveral fuch circles, but you muft then have feveral other frames: and the ewer muft be made to take off from the ftand. 9. The box of metals. Provide a wooden box, about 13 inches long and feven wide, as ABCD (fig. 36.). The cover of this box fhould be as thin as poflible. Have fix fmall boxes or tables, about an inch deep, all of.the fame fize and form, as EFGHIK, that they may indiferimi- j nately Chap. IV. M A G N Entertain- nately g& into fimilar holes made in the bottom of the ir.g Experi- iarge jj0X> xn each 0f thefe tablets is to be placed a ■ 1Tie”ts' fmall magnetic ball, and their poles are to be difpofed as exprelfed in the figure. Cover each of thefe tablets with a thin plate of one of the fix following metals, viz. gold, filver, copper, iron, pewter, and lead. You mult alfo have a magnetic perfpe&ive, at the end of Plate which is to be two circles, one divided into fix equal ccLxxvm parts, and the other into four, as in fig. 37. from the centre of which there muft be drawn an index N, whofe point is to be placed to the north. Therefore, when you are on the fide CD of the box, and hold your perfpe&ive over any one of the tablets that are placed on the holes E, F, G, fo that the index drawn on the circle is perpendicular to the fide A13, the needle in the perfpedfive will have its fouth pole di¬ rected to the latter that denotes the metal contained in that tablet. When you hold the perfpedtive over one of the boxes placed in the holes H, I, K, fo that the index drawn on the circle is perpendicular to the fide CD, the fouth pole of the needle will in like manner exprefs the name of the metal inclofed. If the un¬ der fide of any one of the tablets be turned upwards, the needle will be flovrer in its motion, on account of the greater diftance of the bar. The gold and filver will Hill have the fame dire&ion ; but the four other metals will be expreficd by the letters on the interior circle. If any one of the metals be taken away, the needle will not then take any of the above diredh'ons, but naturally point to the north ; and its motion will be much flower. You therefore give the box to any one, and leave him at liberty to difpofe all the tablets in what manner and with what fide upward he pleafe, and even to take any one of them away. Then, by the aid of your perfpeftive, you tell him immediately the name of the metal on each tablet, and of that he Jias taken away. This box of metals will, on comparifon, be found far to exceed that which has been publicly exhibited : for that, being cbmpofed of fix tablets, of which two enly differ in form, admits but of fix different difpofi- tions, whereas in this the tablets may be placed 720 different ways. In the other, you muft alfo know the particular fide of the box, which in this is not at all neceffary. Nay, you may here diftinguifh each me¬ tal, though the box be completely covered with pa¬ per ; for the effeft of the needle will be always the fame. The experiments with this box are therefore much more extraordinary, and its conftru&ion at the fame time more fimple. 10. The magnetic planetarium. Construct a round box, ILMN, (fig. 38,) of eight or nine inches diameter, and half an inch deep. On its bottom fix a circle of pafteboard, on which draw the central circle A, and the feven circumjacent circles B, C, D, E, F, G, H. Divide the central circle into feven equal parts by the lines AB, AC, AD, AE,. AF, AG, and AH, which muft pafs through the centres of the other circles, and divide each of them into two equal parts. Then divide the circumference of each of thofe circles into 14 equal parts, as in the figure. You are likevvife to have another pafteboard of the fame figure, and divided in the fame manner. E T I S M. 447 which muft turn freely in the box by means of an axis . placed on a pivot; one end of which is to be fixed in in£ I’ xPeri* the centre of the circle A. (See fig. 39.) On each of mLL''b' j the feven fmaller circles at the bottom of the box, place a magnetic bar, two inches long, in the fame di- reflion with the diameters of thofe circles, and their poles in the fituations expreffed in the figure. There mufl: be an index O (fig. 39.), like that of the hour-hand of a dial, which is to be fixed on the axis of the central circle, and by which the pafteboard circle iu the box may be turned about. There muft be alfo a needle P, which muft turn freely on the axis, without moving the circular pafteboard.—In each of the feven divi- fions of the central circle write a different queftion f and in another circle, divided into 12 parts, you may write the names of the 12 months. In each of the fe¬ ven circles write two anfwers to each queftion, obfer- ving that there muft be but feven words in each au- fwer ; in the following manner. In the firft divifion of the circle G fig. 3 7. which is oppofite to the firft que¬ ftion, write the firft word of the firft anfwer. In the fecond divifion of the next circle, write the fecond word ; and fo on to the laft word, which will be in the feventh divifion of the feventh circle. In the eighth di- vifion of the firft circle, write the firft word of the fe¬ cond anfwer; in the ninth divifion of the fecond circle,, write the fecond word of the fame anfwer ; and fo on to the 14th divifion of the feventh circle, which mult contain the laft word of that anfwer. The fame muft be done for all the feven queftions; and to each of them muft be afligned two anfwers, the words of which are to be difperfed through the fe¬ ven circles. At the centre of each of thefe circles, place a pivot; and have two magnetic needles, the pointed end of one of which muft be north, and the other fouth, Qftl, (fig. 39.) Now, the index of the cen¬ tral circle being direfted to any one of the queftions, if you place one of the two magnetic needles on each of the feven leffer circles, they will fix themfelves accord¬ ing to the direction of the bars on the correfpondent circles at the bottom of the box, and confequently point to the feven words that compofe'the anfwer. If you place one of the other needles on each circle, it will point to the words, that are diametrically- oppofite to thofe of the firft anfwer, the north pole being in the place of the fouth pole of the other.—You therefore prefent this planetarium to any perfon, and defire him to choofe one of the queftions there wrote j and you then fet the index of the central-circle to that queftion, and putting one of the needles on each of the feven circles, you turn it about; and. when they all fettle, they will point to the feven words that compofe the anfwer. The two anfwers may be one favourable and the other unfavourable ; and the different needles will ferve to diverfify the anfwers when you repeat the experiment. There may be alfq a moveable needle to place againll the names.of the months; and when the party hax fix¬ ed upon a queftion, you place that-needle againft the month in which he Was born,, which will give the bu- ftnefe an air of more myftery. On the centre of the large circle may be the figure of the fun; and on each of the feven fmaller circles one of the charafters of the five planets, together with the earth &nd moon. This expe- 448 M A G N E Entertain* experiment* well executed, is one of the moft enter- ments6”"4^1”11® tira* magnetifm has produced. 11. 7ht fugacious ff cork or enamel, in which you mutt fix a touched needle, of the largeft fize of thofe commonly ufed in fewing. N0 192. T I S M. Chap. IV. Being thus prepared, you offer a perfon the fix et- Entertairr- wees, and defire him to choofe any one of them him-inB ExPeri- felf, and conceal the others, or give them to different ment*' f perfons. He is then to open his etwee, read the que¬ ftion it contains to himfelf, and return the etwee to you, after replacing the queftion. tYou then put the etwee in the egg, and placing the fwan upon the wa¬ ter in the bafon, you tell the company flie will pre- fently difeover in which of the vafes the anfwer is con¬ tained. The fame experiment may be repeated with all the etwees. 12. The multifarious verfs. The eight words that compofe this Latin verfe, Tot funt tibi dotes, quot cccli Jidera, virgo ( a ), being privately placed in any one of the different com¬ binations of which they are fufceptible, and which are 40320 in number, to tell the order in which they are placed. Provide a box that fliuts with hinges, and is eight rig- 4-* inches long, three wide, and half an inch deep. Have eight pieces of wood about one third of an inch thick, two inches long, and one and a half wide, which will therefore, when, placed clofe together, exactly fill the box. In each of thefe pieces or tablets place a mag¬ netic bar, with their poles as is expreffed in the figure. The bars being covered over, write on each of the ta¬ blets, in the order they then ftand, one of the word* of the foregoing Latin verfe. On a very thin board of the fame dimenfions with the box, draw the eight circles, A, B, C, D, E, F, G, H, (fig. 43.) whofe centres fliould be exaftly over thofe of the eight ta¬ blets in the box when the board is placed upon it. Di¬ vide each of thofe circles into eight parts, as in the fi¬ gure ; and in each of thofe diviiions write one of the words of the Latin verfe, and in the precife order ex¬ preffed in the plate ; fo that, when the board is placed over the box, the eight touched needles placed at the centre of the circles may be regulated by the poles of the bars in the box, and confequently the word that the needle points to in the circle be the fame with that inferibed on the tablet. Cover the board with a glafs, to prevent the needles from rifing off their pivots, as is done in the fea-compafs. Over the board place four plates of glafs, I, L, M, N, fig. 44. which will give the machine the figure of a truncated pyramid, of eight inches high. Cover it with a glafs, or rather a board, in which are placed two lenfes, O O, of eight inches focus, and dittant from each other about half an inch. Line the four plates of glafs that compofe the fides with very thin paper, that will admit the light,Jand at the fame time prevent the company from feeing the circles on the board. Thefe preparations being made, you give the box ta any one ; and tell him to place the tablets on which the words are wrote, privately, in what pofition he thinks proper, then to clofe the box, and, if he pleafe, to wrap it up in paper, feal it, and give it you. Then placing the board with the pyramid upon it, you immediate¬ ly tell him the order in which the tablets are placed, by reading the words to which the needles on the circles point. MAG- (a) i. e. Thy virtues, virgin, ate as numerous as the ftars of heaven, IMTAG^vTE TISM.. ♦ MAG [ 449 ] MAS w*"'"*! r AmmalMdaHMTim, a fympatliy lately fuppofed by Dedon was lefs fcrupnlous, and explained Ac prln- Animal 7, g ‘ iomc perfons to exift between the magnet and the hu- ciples of his art in the following manner : ’ M*gnetifm man body ; by means of which the former became ca- i. Animal jnagnetifm is an univerfal fluid, confti. ’ v pable of curing many difeafes in an unknown way, tuting an abfolute plenum in nature, and the medium fomething refembling the performances of the old ma- of all mutual influence between the celellial bodies gicians. . ^ and betwixt the earth and animal bodies. The fanciful fyftem, to call it by no worfe name, 2. It is the molt fubtile fluid in nature ; capable of a of animal magnetifm, appears to have originated, in flux and reflux, and of receiving, propagating, and con- I774> from a German philofopher named Father tinuing all kinds of motion. Nehl, who greatly recommended the ufe of the mag- 3. The animal body is fubjefted to the influences net in medicine. M. Mefmer, a phyfician of the of this fluid by means of the nerves, which are im- fame country, by adopting the principles of Held, mediately affefted by it. became the direft founder of the fyftem; but, after- 4. The human body has poles and other properties wards deviating from the tenets of his inftruftor, he analogous to the magnet. loft his patronage, as well as that of Dr Ingenhoufz, 5. The a&ion and virtue of animal mao-netifm may which he had formerly enjoyed. Mefmer had already be communicated from one body to another, whether diftinguifhed himfelf by “ Adiffertation on the influence animate or inanimate. of the Stars upon the human body,” which he publicly . 6. It operates at a great diftanc* without the inter- defended in a thefts before the univerfity of Vienna; vention of any body. but he was fo unable to Hand before the oppofition of 7. It is increafed and refkaed by mirrors ; com- Hehl and Ingenhoufz, that his fyftem fell almoft in- municated, propagated, and increafed by found ; and ftantly into difrepute. Mefmer appealed to the aca- may be accumulated, concentrated, and tranfported. demy of fciences at Berlin; but they rejefted his prin- 8. Notwithftanding the univerfality of this fluid, ciples as deftitute of foundation, and unworthy of the all animal bodies are not equally aftefted by it; on fmalleft attention. He then made a tour through the other hand, there are fome, though but few in Germany, publiftiing every where the great cures he number, the prefence of which deftroys all the effeds performed by means of his animal magnetifm, while of animal magnetifm. his enemies every where purfued him with detedions 9. By means, of this fluid nervous diforders are °f hlS afl'ertions. cured immediately, and others mediately ; and its Mefmer, ftill undaunted by fo many defeats, re- virtues, in~ihort, extend to the univerfal cure and turned to Vienna ; but meeting there with no better prefervation of mankind. fuccefs than before, he retired to Paris in the begin- From this extraordinary theory, Mefmer, or M ning of the year 1778. Here he met with a very dif- Deflon, had fabricated a paper, in which he Hated -ferent reception. He was firft patronifed by the au- that there was in nature but one difeafe and one cure, thor of the Diaionnaire des Mervetlles de la Nature ; in and that this cure was animal magnetifm • and laftly which work a great number of his cures were publifh- M. Deflon engaged, X. To prove to the commiffioners! cd, Meitner himfelf receiving hkewife an ample tefti- that fuch a thing as animal magnetifm exifted ; mony of his candour and folid reafonlng. Our phyfi- 2. To prove the utility of it in the °cure of difeafes \ cian foon collefted fome patients; and in the month after tvhich he was to communicate to them all that of April 1778 retired with them to Creteil, from he knew upon the fubjeft. The commiflTioners accord- whence he in a fliort time returned with them perfectly ingly attended in the room where 1 he patients under¬ cured. His fuccefs was now as great as his difap- went the magnetical operations.. The apparatus con- pointment had been before. Patients increafed fo fifted of a circular platform made of oak, and raifed rapidly that the Doftor was foon obliged to take in about a foot and an half from the ground; which Pupils to aflift him in his operations. Thefe pupils platform was called the laquet. At the top of it were fucceeded equally well as Mefmer himfelf; and fo well a number of holes, in which were iron rods with did they take care of their own emolument, that one moveable joints for the purpofe of applying them to of them, named M. Deflon, realized upwards of any part of the body. The patients were placed in .L. 100,000 Sterling. In 1779 Mefmer publiflied a circle round, each touching an iron rod, which he a memoir on the fubjeft of Animal Magnetifm, could apply to any part of the body at pleafure ; they promiftng afterwards a complete work upon the fame, were joined to one another by a cord palling round which Ihould make as great a revolution in philofophy their bodies, the defign being to increafe the effect by as a™y ^one medicine. communication. In the corner of the room was a The new fyftem now grained ground daily; and foon piano forte, on which fome airs were played, occa- became fo falhionable, that the jealoufy of the faculty fionally accompanied with a fong. Each of the pa- iwas thoroughly awakened, and an application con- tients held in his hand an iron rod ten or twelve fpet cermng it was made to government. In confequence long; the intention of which, as Deflon told the ■of this a committee was appointed to inquire into the comniifiioners, was to concentrate the magnetifm in matter, confifting partly of phyficians and partly of its point, and thus to rentier its effeits more fenfible, members of the royal academy of fciences, with'Dr Sound is another condu&or of this magnetifm ; and Benjamin Franklin at their head. This was a thun- in order to communicate the magnetifm to the piano oerltroke to the fupporters of the new doftrine.- forte, nothing more is neceffary than to bring the iron Melmer himfelf refufed to have any communication rod near it. Some magnetifm is alfo furnilhedby the with the committee f but his moft celebrated pupil perfon who plays it; and this magnetifm is tranfmit- Vox.. A. Fart II. 3 L te(! MAO t 450 3 MAG Animal ted to tlie patients by the founds. The internal part JAagnetiim of the 'platform was faid to be fo contrived -as to *“ v ' concentrate the magnetifm, and was the refervoir whence the virtue diffufed itfelf among the patients. Its ftrufture, however, is not mentioned; but the committee fatisfied themfelves, by means of a needle and ele&rometer, that neither common magnetifm nor ele&ricity was concerned. Befides the different ways of receiving the magnet¬ ifm already mentioned, viz. by the iron, cord, and piano forte, the patients alfo had it direftly from the Dottor’s finger, and a rod which he held in his hand, and which he carried about the face, head, or fuch parts of the patient as were difeafed ; obferving al¬ ways the direftion of what he called the poles. The principal application of magnetifm, however, was by preffure of the hands or fingers on the hypochondria or lower regions of the ftomach. The effetls of thefe operations upon Deflon’s pa¬ tients were very different. Some felt nothing, nei¬ ther had the magnetifm any effedd whatever upon them. Some fpit, coughed, fweat, and felt, or pre¬ tended to feel, extraordinary heats in different parts of the body. Many women, but very few men, had convulfions, which Deflon called their crifis, See.— The commiffioners at laft found that they could come to no fatisfa&ory conclufion while they attended in tins public way, and therefore determined to try the experiments themfelves privately. As the fluid itfelf, however, was totally imperceptible by any of the fenfes, they could only afeertain themfelves of its exiftence by ultimately curing difeafes, or by its obfervable ef- fedfs upon the human body. Being well affured, however, that though many difeafes were cured, it would not amount to any proof of the exiftence of animal magnetifm, they determined to obferve its ef- fedfs on the animal ceconomy. For this purpofe they made the following experiments : 1. They tried it upon themfelves, and felt no- thing. 2. Seven of Deflon’s patients were magnetifed at Dr Franklin’s houfe, four of whom felt nothing; three felt, or affected to feel fomething. 3. Several perfons in a higher fphere of life were magnetifed, and felt nothing. 4. The commiflioners, now determined to difeover what fhare imagination had in this bufinefs, blind¬ folded feveral of the common people, and made them fometimes think that they were magnetifed, at other times they magnetifed them without letting them know that they did fo : the confequence was, that when they fuppofed themfelves magnetifed, the pa¬ tients likewife thought they felt fomething, and vice verfa. 5. A magnetifed tree was faid to produce convul- fions ; a young man, blindfolded, fell into convulfions \yhen he imagined hirafelf near the tree, though he ilvas really at a conliderable diftance from it. Deflon accounted for this on the principle of all trees being magnetic: but in this cafe, every one, fufceptible of magnetifm, would be feiaed with convulfions when lie approached a tree. The fame influence of imagi¬ nation was obferved in a woman accuftomed to have convulfions when magnetifed. They came on when nothing was done to her, on being told, when blind- Animal ed, that flie was magnetifed. Magnetifn* Other inftances are given, from which it was evident, Magnolia, either that the patients were impoftors, or in fuch a ■ -t—1 moft wretched ftate of debility both of mind and body, that the moft trifling effihts of the former had the moft powerful effedfs on the latter. The commif¬ fioners therefore entirely difapproved of the whole: The touch, imitation, and imagination, they con¬ cluded, were the great caufes of the efleets produced by Mr Deflon’s operations ; and by means of thefe they fuppofed that convullions, which in themfelves are a very violent diforder, might be fpread much far¬ ther than could be wifhed, even through a whole city. It was obferved that the operator fometimes preffed ftrongly, and for a length of time, upon different parts of the body, particularly the hypochondria and pit of the ftomach ; and it is well known that a ffrong preffure on thefe parts will produce difagreeable feu ra¬ tions in thofe who enjoy perfedl health. It is needlefs to add more upon this fubjedf, than that Mefmer complained of the report of the commif¬ fioners, petitioned parliament, was by them com¬ manded to difeover the myfteries of his dodtrine ; and that it is now exploded by every man of fenfe.—The conclufion of the academicians concerning it was, that it is not entirely ufelefs even to philofophy ; as it is one feifl more to be configned to the hiftory of the er¬ rors and illufions of the human mind, and a fignal In- Itance of the power of imagination. MAGNIEZ (Nicolas), a learned and laborious ecclefiaftic, who died in the year 1749 at an advan¬ ced age. He is known by his excellent Latin dic¬ tionary, intitled Novitius, printed at Paris 1721, 2 vols 4to. Notwithftanding the great utility of this didrionary to mailers, and the merited efteem in which it is held, it has never undergone another edition j for in that which bears the date of 1733, there is no circumftance of difference except the frontifpiece. In this didrionary, befides the words to be met with in the claffics, we find all thofe which occur in the Bible, the breviary, and the ecelefiaftical authors, the terms of art, the names of great men, heathen gods, bifhops, councils, herefies, &c. ; in fliort, more than 6000 words which are not to be found in the common dic¬ tionaries. MAGNIFYING, the making of objedls appear larger than they would otherwife do ; whence convex lenfes, which have the power of doing this, are called magnifying g’afes. See Optics. MAGNITUDE, whatever is made up of parts lo¬ cally extended, or that has feveral dimenfioais ; as a line, furface, folid, See. MAGNOLIA, the laurel-leaved tulip tree, in botany : A genus of the polyginia order, belong¬ ing to the polyandria clafs of plants; and in the natu¬ ral method ranking under the 5 2d order, Coadnahe. The calyx is triphyllous; there are nine petals; thecapfules bivalved and imbricated ; the feeds pendulous, and in the form of a berry. Species. 1. The glauca, or fmall magnolia, is a na¬ tive of Virginia, Carolina, and other parts of North America. In moift places it rifes from feven or eight to ij or 16 feet high, with ft flender ftera. The wood MAG [ 451 ] MAG Ksgnolia. xrobil is'white and fpotigy, the bark fmooth and of a '—r-*—' greenifh white colour ; the branches garniflied with thick fmooth leaves, like thofe of the bay ; but of an eval fhape, fmooth on their edges, and white under¬ neath. The flowers are produced at the extremities of the branches, are white, compofed of fix concave pe¬ tals, and have an agreeable fcent. After the flowers are paft, the fruit increafes in .fize till it becomes as large as a walnut with its cover ; but of a conical fhape, having many cells round the outfide, in each of which is a flat feed about the fize of a fmall kidney- bean. When ripe, the fruit is of a brown colour, the feeds are difcharged from their cells, and hang by a {lender thread. 2. The grandiflora, or great magnolia, is a native of Florida and South Carolina. It rjfes to the height of 80 feet or more, with a ftraight trunk upwards of two feet diameter, having a regular head. The leaves refemble thofe of the laurel, but are larger, and continue green throughout the year. The flowers are produced at the ends of the branches, and are of a purplilh white colour. 3. The tripetala, or umbrella- tree, is a native of Carolina. It rifes, with a (lender trunk, to the height of 16 or 20 feet; the wood is foft and fpongy ; the leaves remarkably large, and produ- - ced in horizontal circles, fomewhat refembling an um¬ brella, from whence the inhabitants of thofe coun¬ tries have given it this name. The flowers are com¬ pofed of ten or eleven white petals, that hang down without any order. The leaves drop o(F at the begin¬ ning of winter. 4. The acuminata, with oval, fpear- (haped, pointed leaves, is a native of the inland parts of North America. The leaves are near eight inches long, and five broad ; ending in a point. The flowers come out early in the fpring, and are compofed of 12 white petals ; the wood is of a fine grain, and an orange colour. Culture, &c. All thefe fpecies are propagated by feeds, which mull be procured from the places where they grow naturally. They ftioidd be put up in fand, and fent over as foon as poffible; for if they are kept long out of the ground, they rarely grow.—The glau- ca generally grows in a poor fwampy foil, or on wet meadows. The Englifli and Swedes in Pennfylvania and New Jerfey call it beaver-tree, beoaufe the root of it is the dainty of beavers, which are caught by its means. It drops its leaves early in autumn, though fome of the young trees keep them all the wdnter. This tree is feldom found to the north of Pennfylvania, where it begins to flower about the end of May. The fcent of its bloflbms is exquifite ; for by it you can difeover, within three quarters of an Englifli mile, whether thefe little trees (land in the neighbourhood, provided the wind be not againft it; for the whole air is filled with this fwcet and pleafant odour. It is beyond de- C ription agreeable to travel in the woods about that time, efpecially towards night. They retain their flowers for three weeks, and even longer, according to the quality of the foil on which the trees (land ; and during the whole time of their being in bloflbm, tlvey fpread their odoriferous exhalations. The berries like- wife look very fine when they are ripe ; for they have ■a rich red colour, and hang in bunches1 on (lender (talks. The cough and other pe61 oral difeafes are cu- -«ed by putting the berries into rum or brandy, of -which .a draught every morning-may be taken; the virtues of this remedy were univerfally extolled, and Mag mi* even praifed, for their falutary effe&s in confumptions. II The bark being put into brandy, or boiled in any _ , other liquor, is (aid not only to eafe pedloral difeafes, but likewife to be of fome fervice againll all internal pains and beat; and it was thought that a decodlion of it could (lop the dyfentery. Perfons who had caught cold boiled the branches of the beaver-tree in water, and drank it to their great relief. Kahn. MAGNUS (John), archbiflrop of Upfal, was born at Lincopping in 1488. Being made apoftolical nun¬ cio, he ufed his utmofl endeavours to prevent Gufta- vus Vafa from becoming king of Sweden, and the in* trodudlion of Lutheranifm into his dominions; and (pared no means to attain thefe ends. He died at Rome in 1549. He wrote a hiftory of Sweden, and a hiflory of the archbiftiops and bifliops of Upfal. Magnus (Glaus', archbilhop of Upfal in Sw-eden, fucceeded his brother John Magnus in x 544. He appeared with great credit at the council of Trent in x 546, and fuffered much afterward for the Catholic religion. We have of his writing, A Hiftory of the Manners, Cuftoms, and Wars of the Northern Nations of Europe MAGNUS camtus, (anc. geog.), a tradl lying towards Scythopolis, or Bethfan in Gallilee, beyond which it extends into Samaria ; Jofephns placing the common boundary between thefe two diftrifts, in the Campus Magnus. Called alfo F.fdrelon, (Judith) ; 30 miles longhand 18 broad ; having Samaria with mount Ephraim to the fouth, the lake Genefareth to the eaft,' mount Carmel to the weft, and Lebanon to the north. Magnus Portus, (anc. geog.), a port of the Bel- gte, in Britain, on the Channel. Now thought to be Portfmouth, in Hampfliire.—Another Portus Mag¬ nus of Btetica in Spain ; a port to the eaft of Ab- dera. MAGO, the name of feveral Carthaginian gene¬ rals. See Carthage. Mago, (anc. geog.) a citadel and town of the Ba- learis Minor, or Minorca. Now Maon, or Mahon. E. long. 4° 6'. lat. 390 5'. MAGONTIACUM, Moguntiacum, or Mo- gontiacus, truncated afterwards by the poets to Mo- gontia, Maguntia, and Moguntia : a town of Gallia Belgica. Now Mentz, capital of the deflorate of that name ; fituated at the-confluence of the Rhine and Maine. E. long. 8°, lat. 50°. MAGOPHONIA (formed from “ magus,’* and “daughter”), the name ofafeaft among the ancient Perfians, held in memory of the expulfion of the Magians. The Magus Smerclis having ufurp- ed the throne of Perfia, upon the death of Cambyfes, 521 years before Jefus Chrift, (even of the principal lords of the court confpired to drive him out of it.— Their defign was executed wiHi good fuccefs : Smer- dis and his brotlrer, another Magus, called Patizithes, were killed. Upon which the people alfo rofe, and put all the Magi to the fword, infomuch that there would not one have efcaped, had not night come upon them. Darius, fon of Hyftafpes, was then defted king ; and, in memory of this maflacre of the Magi, a feaft was inftituted, fays Herodotus, called Magophonij. See Magi. MAGPY, in ornithology. See Corvus. 3 L 2 MAHIE, MAH [ 452 1 M A H Mahk MAHIE, the name given by the inhabitants of 0- 11 taheite, or George’s ifland, to their bread-fruit when Mahomet. ma(je int0 a kind of four pafte, which, in dSonfequen.ce of having undergone a fermentation, will keep a con- fiderable time, and fupply them with food, when no ripe fruit is to be had. When therefore they fee a great ihew of new fruit on the trees, they ftrip them all at once of their former crop, of which they make mahie. This fuccedaneum for ripe bread-fruit is thus made. They gather the fruit before it be perfectly ripe, and laying it in heaps cover it clofely with leaves. In this Hate it ferments, and becomes difagreeably fvveet; the core is then taken out entire, and th£ reit of the fruit thrown into a hole in their houfes, dug on purpofe, and neatly lined in the bottom and fides with grafs. The whole is then covered with leaves, and heavy ftones are laid upon them. In this Hate it undergoes a fecond fermentation, and becomes four; after which it will fuffer no change for many months. It is taken out of this hole as it is wanted for ufe, and being made into balls, it is wrapped up in leaves and baked, and thus dreffed it will keep for five or fix weeks. It is eaten, both cold and hot, and the na¬ tives of thofe countries feldom make a meal without it; but to captain Cook and his company the tafte was as difagreeable as that of a pickled olive generally id the firft time it is eaten. MAHO. See Hibiscus. MAHOGANY. See Swietenia. MAHOMET, or Mohammed, ftyled the Impojlor, was born in the reign of Adtalhirwan the Juft, empe¬ ror of Perfia, about the end of the 6th century of the Chriftian sera. He came into the world under fome difadvaptages. His father Abd’allah was a younger fon of Abd’almotalleb ; and dying very young, and in his father’s lifetime, left his widow and infant-fon in yery mean circumftances, his whole fubftance confift- ing but of five camels and one Ethiopian flie-flave. Abd’almotalleb was therefore obliged to take care of his grandchild Mahomet; which he npt only did during his life, but at his death enjoined his eldeft fon Abu Taleb, who was brother to Abd’allah by the fame mo¬ ther, to provide for him for the future : which he very affe&ionately did, and inftrufted him in the bufinefs of a merchant, which he followed; and to that end he took him into Syria when he was but 13. He after- wards recommended him to Khadijah, a noble and rich widow, for her factor; in whofe fervice he be¬ haved himfelf fo well, that by making him her hufband flic foon raifed him to an equality with the richeft in Mecca. After he began by this advantageous match to live at his eafe, it was, that he formed the fcheme of eftablilh- ing a new religion, or,, as he exprefi'ed k, of replant¬ ing the only true and ancient one profefled by Adam, Noah, Abraham, Mofes, Jefus, and all the prophets, by deftroying the grofs idolatry into which the gene¬ rality of his countrymen had fallen, and weeding' out the corruptions and fuperftitions which the latter Jews and Chriftians had, as he thought, introduced into their religion, and reducing it to its original pu¬ rity, which confifted chiefty in the worlhip of one cnly Qod. Before he made any attempt abroad, he rightly judged that it was nectffary for him to begin with the. converfion of his own houfehold. Having therefore Mahomet, retired with his family, as he had done feveral times «■■■■* before, to a cave in mount Hara, he there opened the fecret of his miffion to his wife Khadijah ; and ac¬ quainted her, that the angel Gabriel had juft before ap¬ peared to him, and told him that he was appointed the apoftle of God: he alfo repeated to her a paftage which he pretended had been revealed to him by the miniftry of the angel, with thofe other circumftances of this firft appearance, which are related by the Ma¬ hometan writers. Khadijah received the news with great joy ; fwearing by Ivim in whofe hands her foul was, that ftie trulled he would be the prophet of his nation ; and immediately communicated what file had heard to her coufin Warakah Ebn Nawfal, who, be¬ ing a Chriftian, could write in the Hebrew charafter, and was tolerably well verfed in the feriptures ; and he as readily came into her opinion, afluring her that the fame angel who had formerly appeared unto Mofes was" now fent to Mahomet. The firft overture the prophet made was in the month of Ramadan, in the 40th year of his age, which is therefore ufually called the yea? of his miffion. Encouraged by fo good a beginning, he refolved to proceed, and try for fome time what he could do by private perfuafion, not daring to hazard the whole af¬ fair by expofing it too fuddenly to the public. He foon made profelytes of thofe under his own roof, viz. his wife Khadijah, his fervant Zeid Ebn Haretha, to whom he gave his freedom on that occafion, (which after¬ wards became a rule to his followers), and his coufin and pupil Ali, the fon of Abu Taleby though then very young : but this laft, making no account of the other two, ufed to ftyle himfelf the JirJl of believers. The next perfon Mahomet applied to was Abd’allah Ebn Abi Kohafa, furnamed Abu Beer, a man of great authority among the Koreiffi, and one whofe intereft he well knew would be of great fervice to him ; as it foon appeared : for Abu Beer, being gained over, pre¬ vailed alfo on Othman .Ebn Affan, Abd’alraham Ebn Awf,' Saad Ebn Abbi Wakkas, al Zobeir Ebn al A- wam, and Telha Ebn Obeid’allah, all principal men of Mecca, to follow his example. Thefe men were tha fix chief companions, who, with a few more, were converted in the fpace of three years: at the end of which, Mahomet having, as he hoped, a fufficient in¬ tereft to fupport him, made his miffion .no longer a fe¬ cret, but gave out that God had commanded him to admoniffi his near relations ; and in order to do it with more convenience and profpeift of fuccefs, he direAeA Ali to prepare an entertainment, and invite the fons and defeendants of Abd almotaleb, intending then to open his mind to them. This was done, and- about 40 of them came ; but Abu Laheb, one of his uncles, making the company break up before Mahomet had an opportunity of fpeaking, obliged him to give them a fecond invitation the next day ; and when they were come, he made them the following fpeech : “ I know no man in all Arabia who can offer his kindred a more excellent thing than I now do you : I offer you happi- nefs both in this life, and in that which is to come; God Almighty hath commanded me to call you unto him : Who, therefore, among you will be afliftant to me herein, and become my brother and my vicegerent ?” AH of them hefitating, and declining the matter, AK‘. MAH [ 453 1 MAH Mahomet, at length rofe up, and declared that he would be his ■ affiftant; and vehemently threatened thofe who fhould oppofe him. Mahomet upon this embraced Ati with great demonftrations of affection, and defired all who were prefent to hearken to and obey him as his depu¬ ty ; at which the company broke out into a great laughter, telling Abu Taleb that he mull now pay obedience to his fon. This repulfe, however, was fo far from difcouraging Mahomet, that he began to preach in public to the people ; who heard him with fome patience till he came to upbraid them with the idolatry, obilinacy, and per- verfenefs ofthemfelves and their fathers: which fo highly provoked them, that they declared themfelves his ene¬ mies ; and would foon have procured his ruin, had he not been protefted by Abu Taleb. The chief of the Koreiflr warmly folicited this perfon to defert his ne¬ phew, making frequent remonftrances againft the in¬ novations he was attempting ; which proving ineffec¬ tual, they at length threatened him with an open rup¬ ture, if he did no prevail on Mahomet to defift. At * this Abu Taleb was fo far moved, that he earneftly diffuaded his nephew from purfuing the affair-any far- ther, reprefenting the great danger he and his friends mull otherwife run. But Mahomet was not to be in¬ timidated ; telling his uncle plainly, that if they Jet the fun againjl him on his right hand, and the moon on his left, he would not leave his enterprise: and Abu Ta¬ leb, feeing him fo firmly refolved to proceed, ufed no further arguments, but promifed to Hand by him a- gainfl all his enemies. The Koreifh, finding they could prevail neither by fair words or menaces, tried what they could do by force and ill-treatment; ufing Mahomet’s followers fo very injurioufly, that it was not fafe for them to con¬ tinue at Mecca any 1 nger : whereupon Mahomet gave leave to fuch of them as had not friends to protedl them to feek for refuge elfewhere. And accordingly in the fifth year of the prophet’s miffion, !i6 of them, four of whom were women, fled into Ethiopia ; and among them Othman Ebn Affan and his wife Rakiah, Mahomet’s daughter. This was the firfl flight; but afterwards feveral others followed them, retiring one after another, to the number of 83 men and 18 wo¬ men, befides children. Thefe refugees were kind¬ ly received by the Najafhi, or king of Ethiopia ; who refufed to deliver them up to thofe whom the Koreifh fent to demand them, and, as the Arab wri¬ ter unanimoufly atteft, even profeffed the Mahome¬ tan religion. In the fixth year of his m*flIon, Mahomet had the pleafure of feeing his party ftrengthened by the con- verfion of his uncle Hamza, a man of great valour and merit; and of Omar Ebn al Kattab, a perfon highly eileemed, and once a violent oppofer of the prophet* As perfecution generally advances rather than obftrudls the fpreading of a religion, Iflamifm made fo great a progrefs among the Arab tribes, that the Koreifh, to fupprefs it effectually if poffible, in the feventh year of Mahomet’s miflion, made a folemn league or covenant- againft the Hafhemites and the family of Abd’almo- taleb, engaging themfelves to contraft no marriages tvith any of them, and to have no communication with them; and, to give it the greater fanCtion, reduced it into writing, and laid it up in the Caaba. Upon this the tribe became divided into two factions; and the Mahomet; family of Hafliem all repaired to Abu Taleb, as their ~“~Y— head; except only Abd’al Uzza, furnamed Ar- heb, who, out of inveterate hatred to his nephew and his doCtrine, went over to the oppofite party, whofe chief was Abu Sofian Ebn Harb, of the family of Ommeya. The families continued thus at variance for three years; but in the tenth year of his miffion, Mahomet told his uncle Abu Taleb, that God had manifeftly fhowed his difapprobation of the league which the Ko¬ reifh had made againft them, by fending a worm to eat out every word of the inflrument except the name of God. Of this accident Mahomet had probably fome private notice: for Abu Taleb went immediately to the Koreifli, and acquainted them with it; offering, if it proved falfe, to deliver his nephew up to them; but in cafe it were true, he infilled that they ought to lay afide their animofity, and annul the league they had made againlt the Hafhemites. To this they acquiefced; and going to infpeCl the writing, to their great aflo- nifhment found it to be as Abu Taleb had laid; and- the league was thereupon declared void. In the fame year Abu Taleb died, at the age of’ above fourfcore; and it is the general opinion that he died an infidel: though others fay, that when he wa»- at the point of death he embraced Mahoraetanifm; and produce fome paflages out of his poetical cpmpofitions to confirm their affertion. About a month, or, as fome write, three days after the death of this great benefac¬ tor and patron, Mahomet had the additional mortifi¬ cation to lofe his wife Khadijah, who had fo generouf- ly made his fortune. For which reafon this year is- Called the year of mourning. On the death of thefe two perfons, the Koreifh be¬ gan to be more troublefome than ever to their prophet, and efpecially fome who had formerly been his inti¬ mate friends; infomuch that he found himfelf obliged to feek for.fhelter elfewhere, and firft pitched upon Tayef, about 60 miles call from Mecca, for the place of his retreat. Thither therefore he went, accompa¬ nied by his fervant Zied, and applied himfelf to two of the chief of the tribe of Thakif who were the inha¬ bitants of that place; but they received him veiy cold¬ ly. However, he flaid there a month 4 and fome of the more confiderate and better fort of men treated. him with a little refpeA: but the flaves and inferior people at length rofe againfl him ; and bringing him to the wall of the city, obliged him to depart and re¬ turn to Mecca; where he put himfelf under the protec¬ tion of Al Motaam Ebn Adi. This repulfe greatly difeouraged his followers. How¬ ever, Mahomet was not wanting to himfelf; but boldly Continued to preach to the public affemblies at the pil¬ grimage, and gained feveral profelytqs; and among- them fix of the inhabitants of Yathreb of the Jewifh tribe of Khazraj; who, on their return home, failed not to fpeak much in commendation of their new reli¬ gion, and exhorted their fellow-citizens to embrace the fame. In the 12th year of his miflion it was that Mahomet gave out that he had made his night-journey from Mecca to Jerufalem, and thence to heaven, fo much fpoken of by all that write of him. Dr Prideaux thiuJss he invented it, either to anfwejr the expectations MAH [ 454 1 MAH ’Mahomet, of tliofe who demanded feme'miracle as a proof of his x /—— niiflion ; or elfe, by. pretending to have converfed with God, to eilablifh the authority of whatever he (houkl think ht to leave behind by way of oral tradition, and make his fayings to ferve the fame purpofe as the oral iaw of the Jews. But it does not appear that Maho¬ met himfelf ever expected fo great a regard ftiould be paid to his fayings, as Jus • followers -have fmce done ; and feeing he all along difclaimed any power of per¬ forming miracles, it feems rather to have-been a fetch of policy to raife his reputation, by pretending to have actually converfed with God in heaven, as Mofes had heretofore doneun the mount, and to have received fe- veral inftitutions immediately from him, whereas be¬ fore he contented himlelf with, perfuading them that he had all by-the tninillry of Gabriel. Ho-wever, this fto.ry feemed fo-abfurd and incredible, that feveral of his followers left-him upon it ; and had probably ruined the whole deiign, had not Abu Beer vouched for his-veracity, and declared, that, if Mabo- jnet affirmed it to be true, he verily believed the whole. Which happy incident-not only retrieved the. prophet’s credit, but increafed it to fuch a degree, -that he was fecure of being able to make his -difciples fwallow whatever he pleafed to impo'fe on them for the future. And thisfifhon, notvvithllanding its extravagance, was one of the molt artful contrivances Mahomet ever put in practice, and what chiefly contributed to the raifing of his reputation, to that great height -to which it af¬ terwards arrived. In this year, called by the Mahometans the accepted year, 12men of Yathreb or Medina, of whom to were of the tribe of Khaaraj, and the other two of that of Aws, came to Mecca, and took an oath of fidelity to Mahomet at al Akaba, a hill on the north of that city. This oath was qalled the womens oath; not that any women were prefent at this time, , but becaufe a man • was not thereby obliged to take up arms in defence of Mahomet or his religion ; it being the fame oath that was afterwards exacted of the women, the form of which we have in the Koran, and is to this'effeft: viz. That they ffiould renounce all idolatry; and they ffiould not fteal, nor commit fornication, nor kill their children (as the Pagan.Arabs ufed to do when they apprehended they ffiould not be able to maintain them), nor forge calumnies; and that they fhould obey the prophet in all things that were reafonable. When they had folemnly engaged to all this, Mahomet fent one of his difciples, named Mafah Ebn Omair, home with them, to i.nllrud them, more fully in the grounds and ceremonies of his new religion. Mafab. being arrived at Medina, by the affiflance of thofe who had been formerly converted, gained feveral profelytes, particularly Of aid Ebn Hodeira, a chief .man of the city, and Saad Ebn Moadh, prince of the - tribe of Aws ; Mahometanifm fpreading fo fall, that there was fcarce a. houfe wherein there were not fome who had embraced it. The next year,-being the 13th of. Mahomet’s mif- fion, Mafab returned to Mecca, accompanied by 73 men and two women of Medina who had profefl’t d Illa- mifm, befides fome others who were as yet unbelievers. On their arrival, they immediately fent to Mahomet, l»ad. offered hint their affidance, of which he w as now in great need ; For his adverfaries were by this time Mabomrt. grown fo powerful in Mecca, that he could not day - ■—v-— there much longer without imminent danger. Where¬ fore he accepted their propofal, and met them one night, by appointment, at al Akaba above mentioned, attended by his-uncle al Abbas; who, though he was not then a believer, wiffied his nephew well, and made a fpeech to thofe of Medina; wherein he told them, that as Mahomet was obliged to-quit his native city, and feek an afylum elfewhere, and they had offered him their proteftion, they would do well not to de¬ ceive him; that if they were not firmly refolved to de¬ fend, and not betray him, they had better declare their minds, and let him provide for his-fafety in fome other manner. Upon their protefling their fiucerity, Ma¬ homet fwore to be faithful t-o them, on condition that they ffiould, protect him agaitift all infults as heartily as they would their -own wives and families. They then afked him what recompeuee they wore to expedt if they fhould happen to be killed in his quarrel ; he anfwered, Paradife. Whereupon they pledged their faith to him, and fo returned home ; after Mahomet had chofen 12 out of their number, who were to have the fame authority among them as the 12 apoftles of Ghrifl had among his difciples. Hitherto Mahomet had propagated his religion by fair -means; fo that the whole fuccefs of his enterprife, before his flight to Medina, muft be attributed to per- fuafion only, and not to compolfion. For before this fecond oath of fealty or inauguration at al Akaba, he had no permiffion to ufe any force at all; and in feve¬ ral places of the Koran, which he pretended wrere re¬ vealed during his flay at Mecca, he declares his bufi- nefs w-as only to preach and admonifh ; that he had no authority to compel "&ny perfon to embrace his reli¬ gion ; and that, whether people believe or not, was none of his concern, but belonged folely unto God. And he was fo far from allowing his followers to ufe force, that he exhorted them to bear patiently thofe injuries which were offered them on account of their faith; and, when perfecuted himfelf, chofe rather to ' quit the place of his birth and retire to Medina, than to make any reliflance. But this great paffivenefs and moderation feem entirely owing to his w'ant of power, and the great fuperiority of his oppofers for the firit 12 years of his million; for no fooner was he enabled, by the affiflance of thofe of Medina, to make head againfl liis enemies, than he gave out, that God had allowed him and his followers to defend themfelves againfl the infidels; and at length, as his forces increa¬ fed, he pretended to have the divine leave even to at¬ tack them ; and to deitrqy idolatry, and fct up the true faith by the fword; finding, by experience, that his defigns would other wife proceed very llowly, if they were not utterly overthrown ; and knowing, on the other hand, -that innovators, when they depend folely on their own flrength, and can compel, foldom run -any rifle; from whence, fays Maehiavel, it fol¬ lows,, that all the armed prophets have fuc-ceeded, and the unarmed-ones have failed. Mofes, Cyrus, 1 he feus, and Romulus, would not have been able to eflablifh the obfervance ,of their inflitutions for any length of time, had they not been armed. The firit paffage of the Koran which gave Mahomet the permiffion of defend- MAH L 455 ] MAH Mahomet, jhg himfelf by arms, is faid to have been that in the ‘“—'"v 2 2d chapter; after which a great number to the fame purpofe were revealed. That Mahomet had a right to take up arms for his own defence again ft his unjuft perfecutors, may per¬ haps be allowed; but whether he ought afterwards to have made ufe of that means for the eftahlifhing of his religion, it is not 10 eafy to determine. How far the fecular power may or ought to interpofe in affairs of this nature, mankind are not agreed. The method of converting by the fword'gives no very favourable idea <-f the faith which is fo propagated, and is difailowed by every body in thofe of another religion, though the fame perfons are willing to admit of it for the advance¬ ment of their own ; fuppofing that, though a falfe re¬ ligion ought not to be eftablilhed by authority, yet a true one may; and accordingly force is almoft as con^ ftantly employed in thefe cafes by thofe who have the power in their hands, as it is conftantly complained of by thofe who fuffer the violence. It is certainly one of the moft convincing proofs that Mahometanifm was no other than a human invention, that it ow'ed its pro- grefs and. eftablifhment aimoft entirely to the fword ; and it is one of the itrongeft demonftrations of the di¬ vine original of Chrrftianity, that it prevailed againft all the force and powers of the world by the mere dint of its own. truth,, after having ftood the affaults of all manner of perfectitions, as w'ell as other oppofitions, for 300 years together, and at length made the Roman emperors themfelves fubmit thereto; after which time, indeed, this proof feems-to fail, Chriftianity being then eftablilhed,.. and Paganifm abolifhed, by public autho¬ rity, which has had great influence in the propagation of the one and deftru&ion of the other e ver fmce. But to return. Mahomet, having provided for the fecurity-of his companions as well as his own, by the league offenfive and defenftve which he had now concluded with thofe of Medina, direfted them to repair thither, which they accordingly did; but himfelf with Abu Beer and Ali ftaid behind, haring not yet received the divine per- miflion, as he pretended, to leave Mecca.- TheKoreiik fearing the. confequence of this new alliance, began to think it abfolutely. neccffary. to prevent Mahomet’s efcape to Medina; and having held a council thereon,- after feveral milder expedients had been rejected, they came to a refolution that he fliould .be killed; and agreed that a .man. fliould be chofen out of every tribe for the execution of this deftgn; and that each man fliould have a blow at him-with his fword, that the guilt of bis blood .might fall-equally on all the tribes, to wbofe united power .the Hafliemites were much in¬ ferior, and therefore durft not attempt to revenge their kinfman’s death. This confpiracy was fcarce formed, when, by fome means or other, it came .to Mahomet’s knowledge; and he gave out that it was revealed to him by the angel Gabriel, who had now ordered him to retire to Me¬ dina. Whereupon, to amufe his enemies, he dire&ed Ali to lie down in his place, and wrap himfelf up in his green cloak, which he did; and Mahomet efcaped miraculoufly, as they pretend, to Abu Beer’s houfe, unperceived by the confpirators, who had already af- fembled at the prophet’s door. They, in the mean iime, looking through the crevice, and feeing Ali, whom they took to be Mahomet himfelf, afleep, con- Mahomet; tinued watching there till morning, when Ali arofe, u— _ and they found themfelves deceived. From Abu Beer’s houfe Mahomet and he went to a cave in mount Thur, to the fouth-eaft of Mecca, accompanied only by Amer Ebn Foheirah, Abu Beer’s fervant, and Abd’allah Ebn Oreicah, an idolater whom they had hired for a guide. In this cave they lay hid three days, to avoid the fearch of their enemies; which they very narrowly efcaped, and not without the afliftance of more miracles than one: for fome fay that the Koreifli were ftruck with blindnefs, fo that they could not find the cave; others, that after Ma¬ homet and his companions were got in, two pigeons laid their eggs at the entrance, and a fpider covered* the mouth of the cave with her web, which mad* them look no farther. Abu Beer, feeing the prophet in fuch imminent danger, became very forrowful ; , whereupon Mahomet comforted him with thefe words, recorded in the Koran, Be nit grieved, for God is with us. Their enemies being retired, they left the cave, and fet out for Medina, by a by-road ; and having fortunately, or, as the Mahometans tell us, miracu¬ loufly efcaped fome who were fent to purfue them, arrived fafcly at t hat city ; whither Ali followed them in three days, after he had fettled fome affairs at Mecca- The firft thing Mahomet did after his arrival at Medina, was to build a temple for -his religious wor- fliip, and a houfe for himfelf, which he did on a parcel of ground which had before ferved to put . camels in, or, as others tell us, fer- a- burying-ground, and be¬ longed to Sahal and Soheil the fons of Amru, who were orphans. This a&ion Dr Prideaux exclaims againft, reprefenting it as a flagrant inftance of in- juftice; for that, fays he, he violently difpoffeffed thefe poor orphans,, the fons of an inferior artificer (whom the author he quotes calls a carpenter), of this ground, and fo founded the firft fabric of his worfhip with the like wictednefs as he did his religion. But, to fay nothing of the improbability that Mahomet _ fhould .a