' ^6 c . cit-Z- Encyclopaedia Britannica. L I E L I E ^iege‘ 1" IEGE, a bifhoprii of Germany, in the circle of “_'v 1. a Weftphalia j bounded to the north by Brabant, to the fouth by Champagne and Luxemburg, to the eaft by Limburg and Juliers, and to the well by Brabant, Namur, and Hainault. It is very unequal both in length and breadth j the former being in fome places above go miles, in others not half fo much ; and the latter in fome places 45, in others hardly 25. The air here is very temperate 5 and the foil fruitful in corn, v/ine, wood, and pallure. Here alfo are mines of lead and iron, pits of coal, quarries of marble and done, and fome celebrated mineral waters, as thofe of Spa and Chau-fontaine. "I he principal rivers are, the Maes and Sambre. The manufactures and com¬ modities of the country are chiedy beer, arms, nails, ierge, leather, with the produCls we have juft men¬ tioned. The ftates of the bilhopric are compofed of three bodies : the firft is the chapter of Liege j the feccnd, the nobility of the country 5 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 dates, who meet thrice a-week, and in time of war daily. They are always about the prince-bilhop, to make remonilrances, and demand the redrefs of grievances. The bilhop is fpiritual and temporal lord of the whole country ; but, as bilhop, is fuftragan to the archbilhop of Cologne. He ftyles himfelf, by the grace of God, hi/hop and prince of Liege, duke of Bouil¬ lon, marquis of Franchimont, count of Look, Hoorn, &c. His arms for Liege are, a pillar argent, on a pedeftal 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 j 280 florins monthly, in lieu of them, but now only at 826. An abatement of one-third has alfo been granted of the ancient afleffment to the chamber- court, which was 360 rix-dollars 624- kruitzers for each term. Here are feveral colleges which fit at Liege, for the government of the country, and the deciiion of caules, civil, criminal, fpiritual, and feudal, and of Inch aKo as relate to the finances. The chapter con- fills of 60 perfons, who mull either prove their nobility for four generations, both by father and mother, be¬ fore they can be admitted : or if they cannot do that, rnufi at leaft have been doftors or licentiates of divi¬ nity for feven years, or, of lawT, for five years, in fome famous univerlity. Ihe bifhopric is very populous Voin. XII. Part I. and extenfive, containing 1500 parifhes, in which are Liege, 24 walled towns, befides others, 52 baronies, befides' v--’ counties and feigniories, 17 abbeys for men, who muft be all gentlemen, and 11 for ladies, exclufive of others. Liege, the capital of the bifhopric of the fame name, Hands upon the Maes, in a fine valley, fur- rounded with woods and hills, being a free imperial city, and one of the largeft and mofl eminent in Europe. Though it is 100 miles from the fea by water, the Maes is navigable up to it. The city has 16 gates j 17 bridges, fome of them very handfome ; 154 ilreets, many of them ftraight and broad ; a fine epifcopal palace ; a very large {lately cathedral, in which, be¬ fides five great filver coffers full of relics, are feveral filver ftatues of faints, and a St George on horfeback of malfy gold, prefented to the cathedral by Charles the Bold, by way of atonement for ufing the inhabit¬ ants cruelly in the year 1468. Of the other churches, that of St Paul is the moil remarkable, both for its ftructure 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 Engliih ladies. 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 bluifh marble. In the town and fuburbs are 12 public places or fquares, 10 hofpitals, a beguin-houfe, and two fine quays, planted with feveral rows of trees, for the burghers to take the air j but a great part of that within the walls is taken up with orchards and vineyards. The manufadtures of this city are arms, nails, leather, ferge, and beer. In St William’s convent, without the city, is the tomb of the famous Englilh traveller Sir John Mandeville, with an infcrip- tion in barbarous French, requefting 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. A After LIE [2 After having feen inoft 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 of 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 longitude 5. 40. E. . Some difturbances took place here in the year 1789, in confequence of certain difputes that had arifen be¬ tween the prince-biihop and the inhabitants. The lat¬ ter having demanded certain privileges, which he did not think proper to grant, they took up arms, and com¬ pelled him and his chapter to comply with their re- queft. 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 j and this tribunal, inftead of afting the part of arbiter*, dee*ided as a fovereign, and ordered the cir¬ cles of the Lower Rhine and Weftphalia to execute the fentence. The king of Prufiia, at whole court one of the chiefs of the infurre&ion had refided, and who wilhed to gain a party at Liege, became mediator *, and feemed to fa¬ vour the Liegoife, many of w'hofe claims were juft, though they attempted to enforce them by violence and the moft illegal fteps. Intoxicated with this pro- te&ion, the people of Liege treated the remonftrances of their bilhop, the decrees of the imperial chamber, and the refolutions of the dire&ory 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 ele&oral col¬ lege having deliberated on the belt means of putting an end to thefe difturbances, its propofitions, though modified by M. Dohm the Pruflian plenipotentiary, made the infurgents break out into open fedition. De¬ luded by their leaders, they gave themfelves up every day to new exceffes $ the effe&s of the citizens were expofed to pillage, and their perfons to infult. The king of Pruflia, who was defirous to bring matters to an accommodation, and not to inftigate the Liegoife to become independent, finding that the efforts of his minifter were not attended with the defired fuccefs, feemed unwilling to interfere an^ 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 inactivity •, 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 the conduCt of the malecontents. They declared openly, in the face of all Europe, that they would either con¬ quer or die 5 and they perfifted in this refolution, w’hile 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 emperor could no longer remain an indifferent fpeftator. It was now full time to put a period to that madnefs to which the people had abandoned themfelves $ and to accomplifh this in . an effeCLial. manner, the imperial ] LIE chamber at Wetzlar requefted the emperor, as a mem- ber of the ancient circle of Burgundy, to execute its Lienter orders refpeCling this objeCt. In confequence of this meafure, Baron Alvinzi, who commanded a body of Auftrians cantoned in Limburg and the confines of Brabant, notified, by order of Marfhal 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 Marftial Bender, to affure him of the refpeClful confidence which they placed in the juftice and magnanimity of the emperor, and to requeft that the Auftrian troops might enter alone, without thofe of the eleftors j and that they might be confined to occu¬ py the gates and the fuburbs only. To this letter, which was carried to Bruffels by a deputation of the ftates, Marlhal Bender returned a very fatisfaClory an- fwer, relating to the difpofition of the electoral troops : but Baron Alvinzi, in a note which he w’rote to the ftates, infifted among other articles, that all the citi¬ zens fhould throw down their arms ; that proper accom¬ modations fhould be prepared for the officers and men j that the warlike ftores, collected for making refiftance, fhould be removed \ and that cockades, and every other diftinCtive mark of the like kind, ftiould be laid afide before the arrival of the imperial troops. However humiliating thefe preliminaries might be, efpecially that of a general difarming, the ftates and municipali¬ ties acquiefced w’ithout the leaft referve •, and their fub- miffion, as hidden as complete, was communicated to the people, with an exhortation to follow' their ex¬ ample. 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 Pruflia, affured the inhabitants that they would remain unfhaken 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 j 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 reinftated by the di- re&orial commiflioners.—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-bifhop have been reftored j and the prince himfelf having returned, peace and good order have been re-eftablifhed. The French took this city in 1792, and eflfe&ed another revolution ; but be¬ ing driven from it in 1793, the citizens w'ere once more obliged to fubmit. LIENTERY, 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 Medi¬ cine Index* LIEVENS, LIE f Lievens, LI EVENS, John or Jan, a celebrated painter, was Kieou ^>orn at Eeyden in 1607. He difeovered an early in- ‘ 1 olination for the arts, and was the difciple firll: of Jon's van Schooten, and afterwards of Peter Laftman. He excelled principally in painting portraits 5 but he alfo executed feveral hiftorical fubjefts with great fuccefs. He came over to 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 feuro is very fkil- fully managed in them, fo as to produce a moft power¬ ful effedt. His ftyle of etching bears feme refemblance to that of Rembrandt j but it is coarfer in general, and lefs finifhed. LIEOU-KIEOU, the name of certain iflands of Afia, fubjedf to China j but hitherto little known to geographers, who have been fatisfied with marking their exiflence 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 furnifhed us with fome interefting details re- fpedling thefe iflanders, which he extradled from a Chinefe relation, publifhed in 1721, at the end of a voyage that was undertaken on the follownng 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 dodlors 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 publiflied in two volumes. It is in the firft of thefe that he gives an accurate and particular defeription of the ifles of Lieou-Kieou ; and what he relates appears to be worthy of the greater cre¬ dit, becaufe, being on the fpot, he examined, as he himfelf fays, according to the orders of the emperor, whatever he found curious or interefting, refpefting the number, fituation, and produ&ions of thefe ifles ; as alfo 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 denomination. The largeft ifland extends from north to fouth almoft 440 lys, and I 20 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 Cheou-li; and it is there that Kint-ching, the capital city, is fituated. The king’s palace, which is reckoned to be four leagues in circumference, is built on a neighbouring mountain. It has four gates, which correfpond to the four cardinal points j and that which fronts the weft forms the grand entry. The view which this palace commands is moft extenfive and delightful j 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, pleafure houfes. It ftands in longitude 146° 26' eaft and in latitude 26* 2' north. 3 1 L I E I! we believe thefe iflanders, the origin of their em- Uicra- pire is loft in the remoteft antiquity. They reckon up . Kieou- 25 fucceffive dynafties, the duration of which forms a period of more than 18,000 years. It would be ufe- lefs to employ a ftngle moment in pointing out the ab- furdity of thefe pretenfions. It is, however, certain, that the exiftence of the country called Lieou-hieou was not known in China before the year 605 of the Chrif- tian era. It was in the courfe of that year, that one of the emperors of the dynafty of Soui, having heard of thefe ifles, was defirous of knowing their fituation. This prince at firft fent fome Chinefe thither but their expedition proved fruitlefs, as the want of inter¬ preters prevented them from acquiring that knowledge 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 S.*-;. It fortunately happened, that an embaflador of the king of Japan was then at court. This embaffador and his attendants immediately knew the ftrangers to be natives of Lieou-kieou : but they fpoke of thefe illes as of a miferable and wretched country, the in¬ habitants of which had never been civilized. The em¬ peror of China afterwards learned, that the principal iiland lay to the eaft of a city called at prefent Fbu- 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 fldl- ful men, accompanied by interpreters, to 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, tell¬ ing 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 immediate¬ ly equipped in Fo-kien, in which he embarked x0,000 men. Lhis fleet fet fail, and arrived in fafety at the port of Napa-kiang. Fhe army, in fpite of every effort made by the natives, landed on the ifland 5 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 Haves, and returned to China. The emperors of the dynafty of Tang, thofe of the ftiort dynafties that followed, and thofe of the dynafty of Song, although they were fully informed of every thing refpefting the Lieou-kieou ifles, made no at¬ tempts to render them tributary. In 1291, Chi-tfou, emperor of the dynafty of Yven, was defirous of reviv¬ ing 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 dif- after that befel their army in an expedition againft Ja¬ pan. The fleet of Chi-tfou went no farther than the ifles of Pong-hou, and the weftern coaft of Formofa, from whence, under divers pretences, they returned to the ports of Fo-kien. It was only in 1372, under the reign of Hong-vou, founder of the dynafty of Ming, that thefe iflands fub- mitted voluntarily to the Chinefe government. Hong- vou had fent one of the grandees of his court to Tfay- tou, who was then reigning at Lieou-kieou, to inform A 2 him Lieou- Kieou. LIE [ liira of his acceffion to the throne. The Chinefe noble- ^ man had received particular inftrudions refpefting this commiffion, and he acquitted himfelf of it with all the prudence and add refs 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 Hep. His reafoning, fupported by the power of his natural eloquence, made fo much impreflion on the mind of Tfay-tou, that he embraced the propofal made him, and fent immediately to the emperor to de¬ mand the inveftiture of his Hates. * Hong-vou received his envoys in a magnificent man¬ ner, and loaded them with prefents. He folemnly de¬ clared Tfay-tou a vaffal of the empire •, and, after hav¬ ing received his firfl tribute (which conliHed in valuable horfes, aromatic wood, fulphur, copper, tin, &c. he lent to this prince a golden feal, and confirmed the choice he had made of one of his fons for fuc. f .'for. The emperor afterwards fent 36 families, almoft all from the province of Fo kien to Lieou-kieou. Tfay- tou received them, afiigned 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- liderable icmittances. Thefe families firfl; introduced into Lieou-kieou the learned language of the Chinele, the ule of their charaflers, and the ceremonies praclifed 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 im¬ perial college, where they were treated with ditlimflion, and maintained at the emperor’s expences. The iiles of Lieou-kieou had neither iron nor porce¬ lain. Hong-vou fupplied this want 5 he caufed a great number of utenlils of iron and inftruments to be made, which he fent thither, together with a quantity of por¬ celain veiTels. Commerce, navigation, and the arts foon began to flourilh. Thefe iflanders learned to call bells for their temples, to manufafture paper and the fineft fluffs, and to make porcelain, with which they had been fupplied before from Japan. The celebrated revolution which placed the Tartars en the imperial throne of China, produced no change in the conduft of the kings of Lieou-kieou. Chang- tcbc, who was then reigning, fent ambaffadors to ac¬ knowledge Chun-tchi, and received a feal from him, on which were engraven feme Tartar chara&ers. It was then fettled, that the king of Lieou-kieou fhould pay his tribute only every two years, and that the number of perfons in the train of his envoys fhould not exceed 15°; The emperor Kang-hi feemed to pay more atten¬ tion to theie ifles than any of his predeceffors. He eaufed a fuperb palace to be erefted in honour of Con¬ fucius, and a college where he maintained mafters to teach the fciences and the Chinefe charafters. He alfo inflituted examinations for the different degrees of the literati. He ordained, that the king of Lieou-kieou fhould never fend in tribute rofe-wood, cloves, or any other production which was not really of the growth of the country ; but that he ihould fend a fixed quantity of fulphur, copper, tin, fhells, and mother of pearl, which is remarkably pretty in thefe iflands. He permitted, that, befides the uiual tribute, he might prefent him horfe-furniture, piftol-cafes, and other things of the 4 ] LIE fame kind, which thefe iflanders are faid to manufa&ure with great tafle and neatnefs. It is more than 900 years fmee the bonzes of China introduced at Lieou kieou the vvorftiip of Fo, and the principal books belonging to their fed!. This worftiip is at prefent the eftablifhed religion both of the gran¬ dees and of the people. There is ftill to be feen in the royal city a magnificent temple, ere£ted in honour of another idol borrowed from the Chinefe, named Tein -fcy, which fignifies cc/cjlial 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 refpecl- fully before fome ftone, which they call to witnels the folemnity of their engagements. Numbers of ftones are to be feen in the courts of their temples, in molt public places, and upon their mountains, which are en¬ tirely appropriated to this purpofe. They have alfo among them women confecrated for the worfliip of fpirits, -who are fuppofed to have great influence over thefe beings. They vifit the fick, diftribute medicines, and recite prayers for their recovery. They refpeft the dead as much as the Chinefe, and they are no lefs ceremonious in wearing mourning j but their funerals are neither fo pompous, nor attended with fo much expence. Their coffins, which are of an hexagonal or odlagonal figure, are three or four feet high. They burn the fiefh 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 diflinguilhed in Lieou-kieou by furnames, as in China j 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 fami¬ lies, which always enjoy the higheft offices. There is a fourth, of equal diiiinftion to the three former ; but neither the king nor the princes contract any alliances with this family 5 for it is doubtful whether it be not fprung from the fame ftem as the royal line. A plurality of wives is allowed in thefe ifles. Young men and young women enjoy the liberty of feeing one another, and of converfing together j and their union is always in confequence of their own choice. The wo¬ men are very referved 5 they never ufe paint, and wear no pendants in their ears \ they colieft 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 lilver. Befides the vaft domains which the king poffeffes, he receives the produce of all the fulphur, copper, and tin mines, and of the fait 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 valued according to the price of the facks of rice. There are here, as in China, nine orders of manda¬ rins, who are diftinguiffied by the colour of their caps, or by their girdles and cufliions. The greater part of the titles of thefe mandarins are hereditary in their families ; but there are fome which are only beftowed upon merit. In the royal city there are tribunals efta- blithed Licou- Kieou. lie r Lieutaud, bliflied for managing the revenue and affairs of the prln- Lieutenant. cjpa^ ifland, and of all the others which are dependent ' on it. ' The latter have agents, who refide at court. There are alfo particular tribunals for civil and criminal matters ; for whatever concerns the families of the gran¬ dees and princes •, for the affairs of religion ; for in- fpe&ing the public granaries, king’s revenues, duties j for commerce, manufa&ures, 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 illand to another, but alfo to China, Tong-king, Cochin-China, 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¬ tures of filk, cotton, paper, arms, copper utenfils, &c. furnuh them, they alfo export mother-of-pearl, tortoife and other (hells, coral and whetftones, which are in great requeft both in China and Japan. LIEUTAUD, Dr Joseph, counfellor of (late and firft phylician at the court of France, was born at Aix In Provence, and refided principally there till he took the degree of doctor of medicine. After this he profe- cuted his ftudies for fome years at Montpelier. , He returned to Aix, where he foon acquired extenfive practice, and became eminent for literary abilities. He refided there till the year 1750, when he was invited to a6t as phyfician to the royal infirmary at Ver- failles. There he practifed with fuch reputation and fuccefs, that he foon arrived at the head of his pro- feffion $ and in tlie year 1774, upon the death of M. Senac, he was appointed archiater. His extenfive en¬ gagements in practice 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 publifhed many valuable works 5 a- mongft which the following may be accounted the moft remarkable. Element a Vhijsiologice. 2. Precis de la Medicine. 3. Pratique Precis de la Matiere Medicals. 4. E/Jais Anatomiques. 5. Synopjis Univerfce Praxeos Medicines. 6. Hijioria Anatomico-Medica. He died at Verfailles in 1780, aged 78 years. LIEUTENANT, an officer who fupplies the place and difeharges the office of a fuperior in his abfenefe. Of thefe, fome are civil, as the lords-lieutenants of kingdoms, and the lords-lieutenants of counties j 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 beftowing 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 govern¬ ment by a privy council j and, on his leaving the king¬ dom, he appoints the lords of the regency, who govern in his abfence. Lords-LiEVTENANTs of Counties, are officers, who upon any invafion or rebellion, have power to raife the militia, and to give commiflions to colonels and other officers, to arm and form them into regiments, troops, and companies. Under the lords-lieutenants, ; 1 lie are deputy-lieutenants, who have the fame power; Lieute thefe are chofen by the lords-lieutenants, out of the principal gentlemen of each county, Slid prefented to the king for his approbation. , LiEUTENANT-Colonel. See Colonel. LiEu^ENANT-General. See General. Lieutenant, in the land fervice, is the fecond commiffioned 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 firft and 3 fecond lieutenants. The firft lieutenant hath the fame detail of duty v;ith 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 wTatch over every thing elfe which may contribute to their health. He muft give attention to their being taught the exercife, fee them pun&ually paid, their meffes regularly kept, and to vifit them in the hofpitals when fick. He muft: aflift at all parades, &c. He ought to underhand the do&rine of proje&iles and the fcience of artillery, with the various eft'e a r^- That this fifh is luminous, wras noticed by Pliny j who lua'iiiiouJ obferves, fifh. L I G [ i iight. obferves, that it (hines in the mouth of the perfon who eats it, and, if it touch his hands or clothes, makes them luminous. He alfo fays that the light depends upon its moiftnre. The light of this filh has furnilhed matter for various obfervations and experiments to M. Reaumur, and the Bolognian academicians, efpe- cially Beccarius, who took fo much pains with the fubjeft of phofphoreal light. M. Reaumur obferves, that, whereas other fifties give light when they tend to putrelcence, this is more luminous in proportion to its being frefti j that when they are dried, their light will revive if they be moiften- ed either with freth or fait water, but that brandy im¬ mediately extinguilhes it. He endeavoured to make this light permanent, but none of his fchemes fuc- ceeded. The attention of the Bolognian academicians was engaged to this fubjecl by M. F. Marfilius, in I724> who brought a number of thefe fifties, and the ftones in which they were enclofed, to Bologna, on purpofe for their examination. ■€om.Bonon. Beccarius obferved, that though this fifli ceafed to vol.ii. *32. flfine when it became putrid*, yet that in its moft pu¬ trid ftate, it would ftiine, and make the water in which it was immerfed luminous, when it was agitated. Galeatius and Montius found, that wine or vinegar ex- tinguiftied this light $ that in common oil it continued fome days ; but in redtified fpirit of wine or urine, hardly a minute. In order to obferve in what manner this light was af- fedled by different degrees of heat, they made ufe of a Reaumur’s thermometer, and found that water render¬ ed luminous by thefe fifties increafed in light till the heat arrived to 45 degrees $ but that it then became fuddenly extindl, and could not be revived. In the experiments of Beccarius, a folution of fea fait Increafed the light of the luminous water j 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, cerufe, or fugar, became more luminous. He alfo tried the effedfs of it when poured upon various 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 that oil of tartar increafed it. This gentleman had the curiofity to try how dif¬ ferently coloured fubftances were affedted by this kind of light j 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 j the other colours could hardly be perceived. It was not, how¬ ever, any particular colour, but only light that was perceived in this cafe. He then dipped boards painted with the different colours, and alfo glafs tubes, filled with fubftances of different colours, in water rendered luminous by the fifties. In both thefe cafes the red was hardly vifible, the yellow was the brighteft, and the violet the dulleft. But on the boards the blue was nearly equal to the yellow, and the green more lan¬ guid j whereas in the glaffes, the blue was inferior to the green. Of all the liquors into which he put the pholades, milk was rendered the moft luminous. A fingle pho- i ] L I G las made fevefi ounces of milk fo luminous, that the Light, faces of perfons might be diftinguiftied by it, and it v looked as if it wras tranfparent. Air appeared to be neceifary to this light $ for when Beccarius put the luminous milk into glafs tubes, no agitation would make it ftiine, 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 wTater was fometimes made more lu¬ minous j which they aferibed to the rifing of bubbles of air through it. Beccarius, as well as Reaumur, had many fchemes to render the light of thefe pholades permanent. For this purpofe he kneaded the juice into a kind of pafte, with ftour, and found that it would give light when it was immerfed in wrarm water ; but it anfwered beft to preferve the fifti in honey. In any other method of prefervation, the property of becoming luminous would not continue longer than fix months, but in honey it had lafted above a year j and then it would, when plunged in warm water, give as much light as ever it had done. Similar, in fome refpefts, to thofe obfervations on Acla Cafa- the light of the pholas, was that wbich was obferved to proceed from wood which was moift, but not in a ^ putrid ftate, which w-as very confpicuous in the dark. That the fea is fometimes luminous, efpecially when Light from it is put in motion by the daftiing of oars or the ^ea water* beating of it againft a ftiip, has been obferved with admiration by a great number of perfons. Mr Boyle, after reciting all the circumftances of this appearance, as far as he could colledt them from the accounts of navigators j as its being extended as far as the eye could reach, and at other times being vifible only when the water was dallied againft fome other body j that, in fome 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 5 concludes with faying, that he could not help fufpefring that thefe 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 planetary vortex. Some curious obfervations on the Ihining of fome Beale s fifties, and the pickle in wriiich they were immerfed, exPen* were made by Dr Beale, in May 1665 •, and had they °n been properly attended to and purfued, might have led to the difeovery of the caufe of this appearance. Having put fome boiled mackerel into water, together Phil.Tranf. with fait and fweet herbs ; when the cook was, fome vol‘ ^x" time after, ftirring it, in order to take out fome of the tJ fifties, (he obferved, that, at the firft motion, the water was very luminous ; and that the fifti Ihining through the water added much to the light which the water yielded. The water was of itfelf thick and blackifti, rather than of any other colour j and yet it ftiined on being ftirred, 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 j 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 of the fifti that was loweft, no light came from B 2 it; L I G [i t Iit j and that, when the water had fettled for fome time, ' ‘ it did not ihine at all. The day following, the water gave but little light, and only after a brilk agitation, though the fillies continued to Ihine as well from the infide as the outfide, and efpecially about the throat, and fuch places as feemed to have been a little broken in the boiling. When in the light of the fun, he examined, with a microfcope, a fmall piece of a fiih which had fhined very much the night before, he found nothing remarkable on its furface, except that he thought he perceived what he calls a Jieam, rather dark than luminous, arifing like a very fmall dull from the filh, and here and there a very fmall and almoft imperceptible fparkle. Of the fparkles he had no doubt; but he thought it poflible that the fleam might be a deception of the fight, or fome dull in the air. Finding the filh to be quite dry, he moiftened it with his fpittle ; and then obferved that it gave a little light, though but for a Ihort time. The filh at that time wTas not fetid, nor yet infipid to the bell difcern- ing palate. Two of the fillies he kept two or three - days longer for farther trial : but, the weather being very hot, they became fetid : and, contrary to his ex- pedlations, there w7as no more light produced either by the agitation of the water or in the filh. Father Father Bourzes, in his voyage to the Indies in Bourzes’s 1704, took particular notice of the luminous appear- fuminous0 ance t^e ^ea* ^ was fometimes fo great, fea water, he could eafily read the title of a book by it, though he was nine or ten feet from the furface of the water. Sometimes he could eafily dillinguilh, in the wake of a Ihip, the particles that were luminous from thofe that were not j 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. Sometimes 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 they were what he calls vortices of light, which at one particular time appeared and difappeared immediately like flalhes of lightning. Nor did only the wake of the Ihip produce this light, but fifhes alfo, in fwimming, left fo luminous a track behind them, that both their fize and fpecies might be diftinguilhed 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 it in a dark place, even though it w^as half dry ; and he obferved, that when the fparkles fell upon any thing that was folid, it would continue (hining for fome hours together. His conjee- After mentioning feveral circumllances which did lures con- not contribute to this appearance, this father obferves, eaufe?g ^ t^at 'lt depends very much upon the quality of the water; and he was pretty fure that this light is the greateft when the water is fatteft, and fulleft of foam. For in the main fea, he fays, the water is not everywhere equally pure 5 and that fometimes, if linen be dipped in the fea, it is clamny when it is drawn up again : and he often obferyed, that when the wake of the fhip 2 ] l 1 G was the brighteff, the water was the moft fat and Light, glutinous, and that linen moifiened w ith it produced a great deal of light, if it was ftirred or moved brilkly. Befides, in fome parts of the fea, he faw a fubitance 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 fome¬ times, in the night, they appeared all over of a bright light, without being put in motion by any veffel or fiih paffing by them. As a confirmation of this conjedlure, that the more glutinous the fea water is, the more it is difpofed to become luminous, he obferves, that one day they took a fifli which was called a bonite, the infide of the mouth of which w^as fo luminous, that, without any other light, he could read the fame charafters wrhich he had before read by the light in the wake of the fliipj and the mouth of this fiih was full of a vifeous matter, which, wdien it was rubbed upon a piece of wTood, made it im¬ mediately all over luminous j though, when the moif- ture w7as dried up, the light was extinguiflied/' The abbe Nollet was much ftruck with the lumi-Abbe Nol- noufnefs of the fea when he wras at Venice in 1749; let’s theory* and, after taking a great deal of pains to afeertain the circumftances of it, concluded that it wras occaiioned by a ihining infedi; and having examined the wTater very often, he at length did find a fmall infedi:, which he particularly deferibes, and to which he attributes the light. The fame hypothefis had alfo occurred to M. Vianelli, profeffor of medicine in Chioggia near Venice y. and both he and M. Grizellini, a phyfician in Venice, have given drawings of the infedts from which they imagined this light to proceed. The abbe was the more confirmed in his hypothefis, by obferving, fome time after, the motion of fome lumi¬ nous particles in the fea. For, going into the water, and keeping his head juft above the furface, he faw them dart from the bottom, which was covered with weeds, to the top, in a manner which he thought very much refembled the motions of infedts ; though, when he endeavoured to catch them, he only found fome luminous fpots upon his handkerchief, which were enlarged when he preffed them with his finger. M. le Roi, making a voyage on the Mediterranean, obferva- prefently after the abbe Nollet made his obfervationstions of M. at Venice, took notice, that in the day time, the prow*6 of the ihip in motion threw up many fmall particles, which, falling upon the water, rolled upon the furface Memoires of the fea for a few feconds before they mixed with Prefer^tes, it j and in the night the fame particles, as he con-voh ih-144= eluded, had the appearance of fire. Taking a quan¬ tity of the water, the fame fmall fparks appeared whenever it was agitated j but, as was obfervsd with refpedl to Dr Beale’s experiments, every fucceflive agi¬ tation produced a lefs effedt than the preceding, except after being fuffered to reft a while j for then a freih agitation would make it almoft as luminous as the firft. This water, he obferved, would retain its property of ihining by agitation a day or two j but it difappeared immediately on being fet on the fire, though it was not made to boil. This gentleman, after giving much attention to this phenomenon, concludes, that it is not occafioned by any L I G- [ ] L I G Light. Experi¬ ments by M. Ant. Martin. Swed. Abhand. vol. xxiii. p. 225. By Mr Canton. any ilnnmg infers, as the abbe Nollet imagined j efpe- J cially as, after carefully examining fome of the lumi¬ nous points, which he caught upon an handkerchief, he found them to be round like large pins heads, but with nothing of the appearance of any animal, though he viewed them with a microfcope. He alfo found, that the mixture of a little fpirit of wine with water juft drawn from the fea, would give the appearance of a great number of little fparks, which would continue vifible longer than thofe in the ocean. All the acids, and various other liquors, produced the fame efiefl, though not quite fo confpicuoufly ; but no frelh agi¬ tation would make them luminous again. M. le Roi is far from afferting that there are no luminous infe&s in the fea. He even fuppofes that the abbe Nollet and M. Vianelli had found them. But he was fatif- fied that the fea is luminous chiefly on fome other ac¬ count, though he does not fo much as advance a con- je&ure about what it is. M. Ant. Martin made many experiments on the light of fifties, with a view to difcover the caufe of the light of the fea. He thought that he had reafon to conclude, from a great variety of experiments, that all fea fifties have this property *, but that it is not to be found in any that are produced in frefti water. No¬ thing depended upon the colour of the fifties, except that he thought that the white ones, and efpecially thofe that had white fcales, were a little more lumi¬ nous than others. This light, he found, was increafed by a fmall quantity of fait 5 and alfo by a fmall degree of warmth, though a greater degree extinguifhed it. This agrees with another obfervation of his, that it depends entirely upon a kind of moifture which they had about them, and which a fmall degree of heat would expel, when an oilinefs remained which did not give this light, but would burn in the fire. Light from the flefti of birds or beafts is not fo bright, he fays, as that which proceeds from fi(h. Human bodies, he fays, have fometimes emitted light about the time that they began to putrefy, and the walls and roof of a place in which dead bodies had often been expofed, had a kind of dew or cla itninefs upon it, which was fome¬ times luminous *, and he imagined that the lights which are faid to be feen in burying-grounds may be owing to this caufe. From fome experiments made by Mr Canton, he concludes, that the luminoufnefs of fea water is owfing to the flimy and other putrefcent fubftances it con¬ tains. On the evening of the 14th of June Ij68, he put a fmall frefti whiting into a gallon of fea water, in a pan which was about 14 inches in diameter, and took notice that neither the whiting nor the wmter, when agitated, gave any light. A Fahrenheit’s ther¬ mometer, in the cellar where the pan was placed, flood at 540. The 15th, at night, that part of the fifti which was even with the furface of the water was lu¬ minous, but the water itfelf was dark. He drew the end of a flick through it, from one fide of the pan to the other ; and the water appeared luminous behind the flick all the way, but gave light only where it was difturbed. When all the water was ftirred, the whole became luminous, and appeared like milk, giv¬ ing a confiderable degree of light to the fides of the pan *, and it continued to do fo for fome time after it was at reft. The water was moft luminous when the fifti had been in it about 28 hours 5 but would not give Light, any light by being ftirred, after it had been in it three ‘■'-’""v*— days. Fie then put a gallon of frefli water into one pan, and an equal quantity of fea water into another •, and into each pan he put a frefli herring of about three ounces. The next night the whole furface of the fea water was luminous without being ftirred j but it was much more fo wrhen it was put in motion ; and the upper part of the herring, which was confiderably be¬ low the furface of the water, was alfo very bright; while at the fame time the frelh water, and the fifti that was in it, were quite dark. There were feveral very bright luminous fpots on different parts of the furface of the fea water 5 and the whole, when viewed by the light of a candle, feemed covered with a greafy fcum. The third night, the light of the fea water while at reft, was very little, if at all lefs than before j but when ftirred, its light wras fo great as to difcover the time by a w7atch, and the fifti in it appeared as a dark fubftance. After this, its light w^as evidently decreafing, but was not quite gene before the yth night. The frefti w-ater and the fifti in it were perfe&ly dark during the whole time. The thermometer was gene¬ rally above 6o°. The preceding experiments were made with fea rvater : but he now made ufe of other water, into wftiich he put common or fea fait, till he found, by an hydro¬ meter, that it was of the fame fpecific gravity with the fea water 5 and, at the fame time, in another gallon of water, he diffolved two pounds of fait 5 and into each of thefe waters he put a fmall frefti herring. The next evening the whole furface of the artificial fea water was luminous without being ftirred j but gave much more light when it was difturbed. It appeared exadlly 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 almoft as fait as it could be made, never gave any light. The herring which was taken out of it the feventh night, and w7aftied from its fait, was found firm and fweet ", but the other herring was very foft and putrid, much more fo than that which had been kept as long in frefti water. If a herring, in warm weather, be put into 10 gallons of artificial fea water, inftead of one, the water, he fays, w'ill ftill become luminous, but its light wall not be fo ftrong. It appeared by fome of the firft obfervations on this fubjedt, that heat extinguilhes the light of putref¬ cent fubftances. Mr Canton alfo attended to this cir- cumftance •, and obferves, that though the greateft fummer heat is well known to promote putrefaftion, yet 20 degrees more than that of the human blood feems to hinder it. For putting a fmall piece of a luminous fifti into a thin glafs ball, he found, that water of the heat of n 8 degrees would extinguifti its light in lefs than half a minute ; but that, on taking it out of the water, it would begin to recover its light in about 10 feconds; but it was . never afterw’ards-fa bright as before. Mr Canton made the fame obfervation that Mr Ant. Martin had done, viz. that feveral kinds of river fifti could not be made to give light, in the fame circum- ftances in which any fea fifti became luminous. He fays, however, that a piece of carp made the water very luminous, Light. The ocean luminous from in¬ fects. L I G [ i luminous, though the outfide, or fcaly part of it, did ^ not fhine at all. For the fake of thofe perfons who may choofe to re¬ peat his experiments, he obferves, that artificial fea wa¬ ter may be made without the ufe of an hydrometer, by the proportion of four ounces avoirdupois of fait to feven 'piints of water, wine meafure. A very elaborate paper on the fubjedt by Dr Hulme appeared in the Philofophical Tranfa&ions for 1800, to which we refer our readers, and to Chemistry, p. 451. From undoubted obfervations, however, it appears, that in many places of the ocean it is covered with lumi¬ nous infects to a very confiderable extent. M. Dagelet, a French aftronomer ivho returned from the Terra Au- ftralis in the year I774> brought with him feveral kinds of worms which ftiine 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 1770, affirms, that the luminous furface of the fea, from the port of Breft to the Antilles, contains an immenfe quantity of little, round, ffiining polypufes of about a quarter of a line in diameter. Other learned men, who acknowledge the exillence of thefe luminous animals, cannot, however, be perfuaded to conlider them as the caufe of all that light and fcintillation that appear on the furface of the ocean : they think that fome fubftance of the phofphorus kind, ariiing from pu- trefadlion, mull be admitted as one of the caufes of this phenomenon. M. Godehoue has publiffied curious ob¬ fervations on a kind of fiffi called in French bonite, al¬ ready mentioned ; and though he has obferved, and ac¬ curately defcribed, feveral of the luminous infers that are found in fea water, he is, neverthelefs, of opinion, that the fcintillation and flaming light of the fea pro¬ ceed from the oily and greafy fubftances with which it is impregnated. The abbe Nollet was long of opinion, that the light of the fea proceeded from eledtricity (aJ) j though he afterwards feemed inclined to think, that this pheno¬ menon was caufed by fmall animals, either by their lu¬ minous afpedt, or at leaft by fome liquor or effluvia which they emitted. He did not, however, exclude other caufes j among thefe, the fpawn or fry of fifli 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 wffiich he at firft took for banks of fand on account of their colour ; they •xhaled 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 during a perfedl calm, remarked, that the oars of the canoes produced a wfflitilh and pearly kind of luftre j when he took in his hand the water which contained this phof¬ phorus, he difcerned in it, for fome minutes, globules 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 5 and fome days after the fea was covered 4 ] L I G near the coafts with wffiole banks of thefe little fiili in Light, innumerable multitudes. ' v**- To putrefaftion, alfo, fome are willing to attribute that luminous appearance which goes by the name of ignUfatuus, to which the credulous vulgar afcribe very hnisf<*~ extraordinary and efpeciaily mifchievous powers, ittum' is moil 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 milled into marfliy places, taking the light which they faw before them for a candle at a diftance \ from which feemingly mifchievous property it has been thought by the vulgar to be a fpirit of a malignant na¬ ture, and been named accordingly Will with a wifjt>, or Jack with a Ian thorn ; for the lame reafon alfo it pro¬ bably had its Latin name ignis fatuus. This kind of light is faid to be frequent about bury¬ ing places and dunghills. 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 defcribed, efpecially as few philofophical obfervers ever had the good fortune to meet wdth it. Dr Derham, however, happened one night to perceive one 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 5 for, among other Angularities of the ignis fatuus, it is obferved to avoid the approach of any perfon, and fly from place to place as if it was animated. That wffiich Dr Derham obferved w7as in fome boggy ground betwdxt twro rocky hills j 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 occalioned by infefls as fome have fuppofed j the feparate lights of wffiich he could not have failed to diftinguilh, had it been occafloned by them. The light kept dancing about a dead thiftle, till a very flight motion of the air, oc¬ calioned, 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. Beccaria endea¬ voured to procure all the intelligence he could concern* ing this phenomenon, by inquiring of all his acquaint¬ ance who might have had an opportunity of obferving 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 almolt every dark night, efpecially that to the eaftward, giving a light equal to an ordinary faggot. The latter appeared to a gentleman of his ac¬ quaintance as he w7as travelling ; moved conftantly be¬ fore him for about a mile $ and gave a better light than a torch which was carried before him. Both thefe appearances gave a very ftrong light, and were con- ftantly in motion, though this various and uncertain. Sometimes they would rife, fometimes link ; but com¬ monly they would hover about fix feet from the ground ; they would alfo frequently difappear on a hid¬ den, CA) This hypothefis wras alfo maintained in a treatife publiftied at Venice in 1746, by an officer in the Auftrian fervice, under the title, Dell'1 Eletrecifmo. 3 L I G t ] Light, den, and appear again in fome other place. They dif- ^ fertd alfo in fize and figure, fometimes fpreading pret¬ ty wide, and then centrafting themfelves j 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 aifiedl:- ed 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 5 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 Bolog¬ na, where the largeft of thefe appearances was o$ferved, 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 moilture, the ignes fatui were lefs. From the beft information which M. Beccaria was able to procure, he found that thefe lights urere very frequent about rivers and brooks. He concludes his narrative with the following Angular 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 fhone very ftrangely upon fome flones wdrich lay on the banks of the river Rioverde. It feemed to be about two feet above the Hones, and not far from the water. In fize and figure it had the appearance of a parallele¬ piped, fomewhat more than a foot in length, and half a foot high, the longeft fide being parallel to the ho¬ rizon. Its light wTas fo ftrong, that he could plainly difeern by it part of a neighbouring hedge and the water of the river 5 only in the call corner of it the light was rather faint, and the fquare figure lefs per- fe61, as if it was cut off or darkened by the fegment of a circle. On examining it a little nearer, he w7as fur- prifed to find that it changed gradually from a bright red, firft to a yellowifh, and then to a pale colour, in proportion as he drew nearer; and when he came to the place itfelf, it quite vanifhed. Upon this he Hep¬ ped back, and not only faw it again, but found that the farther he wrent from it, the Hronger and brighter it grew7. When he examined the place of this lumi¬ nous appearance, he could perceive no fmell nor any other mark of fire.” This account was confirmed by another gentleman, who informed M. Beccaria, 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 fiiape, and in the very fame place. One night m 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 to the Holy Land. Jt 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 fhape of the flame of a candle ; at others it wTould fpread to fuch a degree as to involve the whole company in a pale in- offenfive light, then contradl itfelf, and fuddenly dif- appear ; but in lefs than a minute would appear again j fometimes running fwiftly along, it w'ould expand itfelf at certain intervals over more than two or three acres of the adjacent mountains. The atmofphtre from the 5 1 L 1 G 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 un&uous. Lights refembling the ignis fatuus are fometimes obferved at fea, fkipping about the mafis and rigging of fiiips 3 and Dr Shaw informs us, that he has feen thefe in fuch weather as that juH mentioned when he faw the ignis fatuus in Paleffine. Similar appearances have been obferved in various other fituations 3 and we are told of one which appeared about the bed of a woman in Milan, furrounding it as w7ell as her body entirely. This light fled from the hand which ap¬ proached it 3 but was at length entirely difperfed by the motion of the air. Of the fame kind alfo, mofl 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 3 for w7e have accounts of fome luminous vapours which would encompafs flacks of hay and corn, and fet them on fire 3 fo that they became obje&s of great terror and concern to the country people. Of thefe it was obferved, that they would avoid a drawn fword, or fharp-pointed iron inflrument, and that they would •be driven away by a great noife 3 both which methods were made ufe of to diflipate them : and it w7as like- wife obferved, that they came from fome diflance, as it wrere on purpofe to do mifehief. Several philofophers have endeavoured to account for thefe appearances, but hitherto with no great fuccefs 3 nor indeed does there feem to be fufficient data for folving all 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 wrell as all the other in¬ fiances we have related feem to demonflrate the contrary. Sir Ifaac Newton calls it a vapour finn¬ ing without heat; and fuppofes that there is the fame difference between the vapour of ignis fatuus and flame, that there is between the finning or rotten wood and burning coals. But though this feems gene¬ rally to be the cafe, there are Hill fome exceptions, as has been inflanced in the vapours which fet fire to the flacks of corn. Dr Prieftley fuppofes that the light is of the fame nature with that produced by putref- cent fubftances 3 and others are of opinion, that the eledlrical 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, moift ground, burying places, and dung¬ hills, we are naturally led to conclude^ that putrefaction is concerned in the prodli£tion of it. This procefs, we know7, is attended with the emiflion of an aqueous fleam, together with a quantity of fixed, inflammable, and azotic airs, all blended together in the form of vapour. It is likewife attended with fome de¬ gree of heat 3 and we know7 that there are fome va¬ pours, that of fulphur particularly, which become lu-- minous, with a degree of heat much lefs than that fuffi¬ cient to fet fire to combuftible bodies. There is no inconfiftency, therefore, in fuppofing that the putrid vapour L I G [ i , vapour may be capable of fhining with a ftill fmaller v degree of heat than that of fulphur, and confequently become luminous by that which putrefa&ion alone af¬ fords. This wmuld account for the ignis fatuus, were it only a fteady luminous vapour arifmg from places where putrid matters are contained j but its extreme mobility, and flying from one place to another on the approach of any perfon, cannot be accounted for on this principle. If one quantity of the putrid vapour be¬ comes 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 neceffity we muft have recourfe to fome other agent, wdiich cannot be any other than eleClricity. Without this, it is im- poffible to conceive how any body of moveable vapour Ihould not be carried away by the wind $ but fo far is this from being the cafe, that the ignes fatui, defcribed by M. Beccaria, were but little affe&ed by the wind. It is belides proved by undoubted experiment, that ele&ricity always is attended with fome degree of heat; and this, however fmall, may be fufficient to give a lu¬ minous property to any vapour on which it a£ts ftrong- ly ; not to mention, that the eledtric fluid itfelf is no other than that of light, and may therefore by its adlion eafily produce a luminous appearance independent of , any vapour. We have a ftrong proof that eledlricity is con¬ cerned, or indeed the principal agent, in producing the ignis fatuus, from an experiment related by Dr Prieftley of a flame of this kind being artificially pro¬ duced. A gentleman, who had been making many ele&rical 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 reafon to doubt, was a true ignis fatuus, and the circumftances neceffary to produce it were then prefent, viz. an at- mofphere impregnated with animal vapour, and like¬ wife ftrongly eleftrified. Both thefe circumftances un¬ doubtedly muft have taken place in the prefent cafe ; for the quantity of perfpiration emitted by a human- body is by no means inconfiderable j and it, as well as the eledricity, would be colle&ed 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 eledlricity of the atmofphere in the one room and the other; in which cafe the flame would naturally be attrafted to¬ wards that place where the ele&ricity was either dif¬ ferent in quality or in quantity; but in the natural way, where all bodies may be fuppofed equally elec¬ trified for a great way round, a repulfion will as natu¬ rally 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 fup- pofe it to have been influenced by any other, power than what we call attraBion, and which electricity is very capable of producing. Its keeping at fome diftance is likewife eafily accounted for ; as we know that bodies poffeffed of different quantities of eleftricity may be made to attratt one another for a certain fpace, and then repel without having ever come into contaft. i 6 ] L I G On this principle we may account for the light which Light. furrounded the woman at Milan, but fled from the' v—- hand of any other perfon. On the fame principle may we account for thefe mifchievous vapours which fet fire to the hay and corn ftacks, but were driven away by pjefenting to them a pointed iron inftrument, or by making a noife. Both thefe are known to have a great effed upon the ele&ric matter ; and by means of either, even lightning may occafionally be made to fall upon or to avoid particular places, according to the circum¬ ftances by which the general mafs happens to be affeded at that time. On the whole, therefore, it feems moft probable, that the ignis fatuus is a colledion of vapour of the pu- trefcent kind, very much affeded by eledricity; ac¬ cording to the degree of which, it will either give a weak or ftrong light, or even fet fire to certain fub- ftances difpofed to receive its operation. This opinion feems greatly to be confirmed from fome luminous ap¬ pearances obferved in privies, where the putrid vapours have even colleded themfelves into balls, and exploded violently on the approach of a candle. This laft effed, however, we cannot fo well afcribe to the eledricity, as to the accenfion of the inflammable air which frequently abounds in fuch places. In the appendix to Dr Prieftley’s third volume of Experiments and Obfervations on Air, Mr Warltire gives an account of fome very remarkable ignes fatui, which he obferved on the road to Bromfgrove, about five miles from Birmingham. The time of obfervation wras the 12th of December 1776, before day-light. A great many ©f thefe lights were playing in an adjacent field, in different diredions ; from lome of which there fuddenly fprung up bright branches of light, fomething refembling. the explofion of a rocket that contained many brilliant ftars, if the difcharge was upwards, in- ftead of the ufual diredion ; and the hedge and trees on each fide of the hedge were illuminated. This ap¬ pearance continued but a few feconds, and then the jack-a-lanterns played as before. Mr Warltire was not near enough to obferve if the apparent explofions w'ere attended with any report. Cronftedt gives it as his opinion, that ignis fatuust as well as the meteors called falling Jlars, are owing to colledions of inflammable air railed to a great height in the atmofphere. But, with regard to the latter, the vaft height at which they move evidently ftiows that they cannot be the effed of any gravitating vapour whatever; for the lighteft inflammable air is one-twelfth .of that ol 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 one-twelfth of its weight at the furface. From the account given by Mr Warltire, w'e Ihould 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 afcribe an eledrical origin to the one as w^ell as the other. Elec¬ tricity, we know, can affume both thefe appearances, as is evident in the cafe of points: or even when the at¬ mofphere is violently eledrified, as around the firing of an eledrical kite, which ahvays wrill appear to be furrounded with a blue flame in the night, if the elec¬ tricity be very ftrong. On the whole, it appears, that eledricity ading up¬ on L I G [i Light, on a fmall quantity of atmofpherical air, with a certain 1 " v— ' 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 hidden increafe of electrical 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 an¬ other, feeing it has an opportunity of diffufing itfelf equally through the whole ? To this it leetns im- poffible to give any other reafon than that we fee the fa£t is lo ; and that in all cafes where there is a quan¬ tity of eleCfrified air or vapour, there will be an accu¬ mulation in one part rather than another. Thus, in the experiment already related, where the gentleman perceived a blue flame following him, the whole air of the room was {leftrified, but the greateft power of the fluid was exerted on that w'hich gave the luminous 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 eleftric fluid, and, 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 medium for fo doing is deficient. Phofphoric A light in fome refpecls fimilar to thofe above men- light. tioned has been found to proceed from that celebrated chemical production called phofphorus, which always tends to decompofe itfelf, fo as to take fire by the accefs of air only. Phofphorus, therefore, wdien it emits 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 diffolved in effential oil, the heat is not fenfible. But perhaps the matter which emits the light in what w7e call putrefcent fub- Jiances 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 neceflary to the light of glow-worms or of the pholades*, and yet their light is fufficiently fimilar to that of fhining wood or flelh. EleClric light is unquellionably 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 moiffened a little, and fcraped 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 fhaken in the dark, the whole glafs feemed to be filled with light. Kunc¬ kel alfo reduced his phofphorus into the form of larger Hones; which being wanned by a perfon’s hand, and rubbed upon paper, would defcribe letters that were very legible in the dark. I he greateft variety of experiments with the light of phofphorus was made by Dr Slare ; who fays, that the liquid phofphorus (which is nothing more than the folid phofphorus diffolved in any of the effential oils) would not hurt even a lady’s hand ; or that, when the hands or face were waftied with it, it would not only make them vifible to other perfons in the dark, but that the light was fo confiderable as to make other neigh¬ bouring objeCls vifible. Vog. XII. Part I. 7 ] L I G When the folid phofphorus is quite immerfed in wa¬ ter, he obferves that it ceafes to ihine ; but that if any part of it chance to emerge, or get into the air, it will Ihine though the glafs be hermetically fealed. In a large glafs he kept it without water for feveral daysj and yet it continued fhining, with very little diminu¬ tion of its light or weight. If the letters that were writ¬ ten with this phofphorus were warmed by the fire, they prefently became dark lines, which continued upon the paper, like ink. To try how much light was given by a fmall quantity of this phofphorus, he obferved that it continued to flame in the open air for feven or eight days ; the light being vifible whenever he ihut 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 ; but upon exhaufting it, be 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 fhining wood and fifties, was alfo afcertained by feveral very accurate experi¬ ments 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 time before the light revived again. All liquors would ex- tinguiifi this light when the phofphorus was put into them ; nor would it (bine or burn, though it was even boiled in the moll inflammable liquors, as oil of olives, fpirit of turpentine, or even fpirit of wine. In order to keep his phofphorus from confuming, he ufed to put it in a glafs of water ; and fometimes he has feen it, when thus immerfed in water, make fuch bright and vigorous corufcations in the air, as, he fays, would furprife and frighten thofe who are not ufed to the phenomenon. This fiery meteor, he fays, is con- tradled in its paffage 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 muft be deep and cylindrical, and not above three quarters filled with water. This effedl he perceived in warm weather only, and never in cold. The phofphorus of which we have been treating is prepared from urine ; but in fome cafes the fweat, which is fimilar to urine, has been obferved to be phofphoraceous, without any preparation. This once Acla Cafa- happened to a perfon who ufed to eat great quantities of fait, and who was a little fubjedl to the gout, after vo1- v* fweating with violent exercife. Stripping himfelf in P‘ ,334‘ the dark, his fhirt feemed to be all on fire, which fur- prifed him very much. Upon examination, red fpots were found upon his fhirt ; and the phyfician who was prefent perceived an urinous fmell, though it had no¬ thing in it of volatile alkali, but of the muriatic acid: the fame, he fays, that iffues from cabbage much fail¬ ed, and ftrongly fermented. The eafieft method of accounting for all thefe kindsAI1 the^ of lights, perhaps, is from elearicity. If light confifts lighttS in a certain vibration of the elearic fluid *, then it fob from elec” lows, that in wThatever fubftances fuch a vibration takes trieity. place, there light muft appear, whether in putrefcent *See animal fubftances, fea water, phofphorus, or any thing tncity' elfe. We know that the electric matter pervades all C terreftrial L I G [ i light terrefiiial fubffarices, 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 furpriiing that the ele&ric matter Ihould a£t in the bo¬ dies o'7 living animats in fuch a manner as to produce a permanent light, when we certainly know it aCts in feme of them fo powerfully as to produce a fhockfnni- lar to that of a charged phial. On this fubjeft we fhali only obferve farther, that whert this vibration be¬ comes to powerful as to penetrate the folid fubftance of the body itfeif, the luminous body then becomes tranf- parent, as in the milk mentioned in the former part of this article ; but when it is only fuperficial, the body, though it emits light, is itfeif opaque. Light from Diamonds. Among luminous bodies the diamond is to be reckoned } as fome diamonds are known to fhine in the dark. But on account of the feeblenefs of their fplendour, it is neceffary for the perfon who is to obferve them, previoudy to ftay in the dark at lealt a quarter of an hour \ that the pupil of the eye may be dilated and enlarged, and fo rendered capable of receiving a large quantity of the rays of light. M. du Fay has alfo obferved, that the eyes ought to be Ihut for this time, or at lead: one of them ; and that, in that cafe, the light of the diamond is afterwards only feen by that eye which has been (hut. Before the diamond is brought into the dark room, it mud be expofed to the funlhine, or at lead to the open daylight, to imbibe a fufficient quantity of rays j and this is done in one minute, or even lefs; eight or ten feconds having been found to furnifh as much light as a done is ca¬ pable of receiving : and when brought into the dark, its light continues about twelve or thirteen minutes, weakening all the while; by infenfible degrees. It is very remarkable, that in bodies fo extremely limilar to each other as diamonds are, forae Ihould have this pro¬ perty of imbibing the fun’s rays, and Ihining in the dark, and that others diould not j yet fo it is found to be by experiment, and the mod nearly refembling dones lhall be found one to have this property, and another to be deditute of it j while many of the mod didimilar have the property in common. There feems to be no rule, nor even the lead traces of any imper- feft rule of judging, which diamonds have, and which have not this property •, their natural brightnefs, their purity, their fize, or their lhape, contribute nothing to it: and all that has been yet difeovered of the lead re¬ gularity among them, is, that all yellow diamonds have this property. This is fuppofed to arife from their having more fulphur in their compofition, and therefore illuminating more readily, or emitting a more vilible flame. The burning of diamonds is a term ufed among the jewellers, for putting them into a fierce fire, as they frequently do, when they are fouled with brown, or yellow, or the like j this always diverts them of their colour, without doing them the lead fenfible injury. M. du Fay, having been informed of this common prac¬ tice, formed a conje&ure, that the difference of dia¬ monds in their diining or not diming 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 fhone in the dark. But this was found an erro¬ neous conje&ure j for two diamonds, one lucid in the 8 ] L I G dark, the other not, were both burnt, and afterwards Light, both were found to retain the fame properties they tf*— had before. It is not only the open funfliine, or open daylight, which gives to thtlc diamonds the power of Ihining in the dark ; they receive it in the fame manner even it 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¬ mond, after being expofed to the light, be covered with black wax, it will thine in the dark, as well fix hours afterwards as at the time it was firtt impregnated with the light. The imbibing light, in this manner^ being fo nice a property as not to be found in feveral diamonds, it was not to be fuppofed that it would be found in any other ftones : accordingly, on trial, the ruby, the fap- phire, and the topaz, wxre found wholly deffitute of it \ and among a large number of rough emeralds, one only was found to poffcfs it. Such is the itrange un¬ certainty of thefe accidents. All the other lefs precious ftones were tried, and found not to poffefs this property of imbibing light from the daylight or funftiine, but they all became luminous by the different means of heating or fri&ion : with this difference, that fome acquired it by one of thefe methods, and others by the other ; each being unaffefted by that which gave the property to the other. The diamond becomes luminous by all thefe ways. Beccarius alfo difeovered, that diamonds have the property of the Bolognian phofphorus, about the fame time that it occurred to M. du Fay. Com. Bonon. vol. ii. p. 276. M. du Fay likewife obferved, that the common topaz, when calcined, had all the properties of this phofphorus j and purfuing the difeovery, he found the fame property, in a great degree, in the belemni- tes> gyp^m, limeftone, 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 j efpecially with flint ftones, ri¬ ver fand, jafpers, agates, and rock cryftal. Light from Plants. In Swreden a very curious phe¬ nomenon has been obferved on certain flowers by M. Haggern, le&urer 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 j 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 j but fcarcely viftble on pale ones. The flafti was frequently feen on the fame flower two or three times in quick fucceflion , 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 funfet, and for half an hour, when the atmofphere was clear j but after a rainy day, or when Light, Light- Houfe. L I G t i when the air was loaded with vapours, nothing of it was feen. The following flowers emitted flaflies, more or lefs vivid, in this order : 1. The marigold, calendula officinalis. 2. Monk’s-hood, tropceolum majus. 3. The orange lily, lilium bulbiferum. 4. The Indian pink, tagetes patula et erecla. To difcover 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 thing being found. From the rapidity of the flalh, and other circumftan- ces, it may be conje&ured that there is fomething of electricity 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 flafli from the orange lily, the antherae of which are a confiderable fpace diftant from the petals, found that the light proceeded from the petals only •, whence he concludes, that this eleClric light is caufed by the pol¬ len, which, in flying off, is fcattered on the petals. Whatever be the caufe, the effeft 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 whif.i the piece is fuppofed to be enlightened j and which, for this reafon, are painted in bright vivid co¬ lours. In this fenfe, light is oppofed to fliadow-. Different lights have very different effedls on a pic¬ ture, and occafion 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 5 and a great deal more, in the conduCt of the lights and (hadows, when the luminary is pitch¬ ed 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 lhadovrs. The light a figure receives is either direft or refleCI- ed ; to each *f which fpecial regard muff be had. The doCtrine of lights and ihadows makes that part of painting called clair-obfcure. LiGRT-Horfc, an ancient term in our Englifh cuf- toms, lignifying an ordinary cavalier or horfeman light¬ ly 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 Ligbt-HoRss. Light-Hou/c, a building ere&ed 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 conflantly attended by fome careful perfon, fo as to be feen at a great diftance from the land. It is ufed to direct the Shipping on the coaft, that might othervvife run afhore, or fleer an improper courfe, w’hen the darknefs of the night and the uncertainty of currents, &c. might ren¬ der their fituation with regard to the (bore 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 hemifphercs, or before properly difpofed glafs or me- 9 1 L I G tal reflectors, which laft method is now very generally Lght- adopted. See Beacons. Room LiGiir-Rcom, a fmall apartment, enclofed with glafs Liglnfoot. windows, near the magazine of a (hip of war. It is v—— v ■■■■ ufed to contain the lights by which the gunner and his afliftants are enabled to fill cartridges with powTder to be ready for adtion. LIGHTER, a large, open, flat-bottomed veffel^ generally managed with oars, and employed to carry goods to or from a (hip when {he is to be laden or de¬ livered.—There are alfo forae lighters furnifhed 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 Englilh di¬ vine, w7as the fon of a divine, and born in March 1602, at Stoke upon Trent in Staffordftnre. After having finiflied his ftudies at a fchool on Morton-green near Congleton in Cheftiire, he wTas removed in 16 to Cambridge, where he applied himfelf to eloquence, and fucceeded fo well in it as to be thought the bell; 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 for his quiet and meek difpofition. As foon as he had taken the degree of B. A. he left the univer¬ fity, and became afliftant to a fchool at Repton in Derbyfliire. After he had fupplied this place a year or two, he entered into orders, and became curate of Norton under Hales in Shroplhire. This curacy gave an occafion of awakening his genius for the Hebrew tongue. Norton lies near Bellaport, then the feat of Sir Rowland Cotton ; who w’as his conftant hearer, made him his chaplain, and took him into his houfe. This gentleman being a perfeft mafter of the Hebrew language, engaged Lightfoot in that ftudy •, who, by converfing with his patron, foon became fenfible that without that knowledge it was impofiible to attain an accurate underftanding of the feriptures. 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 refide in Lon¬ don, at the requeft of Sir Alland Cotton his uncle, who was lord-mayor of that city, he followed his pre¬ ceptor thither. But he did not flay long there : for, having a mind to improve himfelf by travelling abroad, he went down into Staffordfliire to take leave of his father and mother. Faffing through Stone in that county, he found the place deliitute of a minifler : and the prefling inflances of the pariftiioners prevailed up¬ on him to undertake that cure. Hereupon, laying afide his riefign of travelling abroad, he began to turn his thoughts upon fettling at home. During his refi- dence at Bellaport, he had fallen into the acquaintance of a gentlewoman who was daughter of William Crompton of Stonepark, Efq. and now, being in pof- feiTion of that living, he manied her in 1628. But notwithflanding this fettlemcnt, his unquenchable thirft after rabbinical learning would not fuffer him to con¬ tinue there. Sion-college library at London, he knew, C 2 was li I G f 20 Lightfoot. ^ ^vas well Hocked with books of that kind. He there- ' tore 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 Hudies, by his “ Erubhim, or Mifcellanies Chriftian and Judaical,” in 1629. He was at this time only 27 years of age 5 and appears to have been well ac¬ quainted with the Latin and the Greek fathers, as well as the ancient heathen writers. Thefe firil fruits of lis (Indies were dedicated to Sir Rowland Cotton j who, in 1631, prefented him to the reflory of Afliley in Staffordlhire. ^ fie feemed now to be fixed for life : Accordingly, he built a (ludy in the garden, to be out of the noife o( tne houfe 5 and applied himfelt with indefatigable diligence in fearching the feriptures. Thus employ¬ ed, the days palled very agreeably 5 and he continued quiet and. unmolefted, till the great change which happened in the public affairs brought him into a (hare of the adminidration relating to the church j for he w as. nominated a member of the memorable affembly of divines for fettling a new form of ecclefiadical po- hty: This appointment was purely the effe£l of his didinguidied merit j 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 re&ory : and having obtained the prefentation for a younger biother, he let out for London in 1642. He had now fatisfied himfelf in clearing up many of the abdrufed palfages in the Bible, and therein had provided the chief materials, as well as formed the plan, of his “ Harmo¬ ny and an opportunity of infpetting it at the prefs was, no doubt, an additional motive for his going to the capital : where he had not been long before he vras chofen minider of St Bartholomew’s, behind the Royal Exchange. 1 he afiembly of divines meeting in °tir author gave his attendance diligently there, and made a didinguilhed figure in their debates ; w'here he tiled 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 edablilh. His learning recommended him to the parliament, whofe vifitors, having ejedled Ur William Spurdow’ trom the maderfhip of Catharine-hall in Cambridge, put Lightfqot in his room, this year i6?3 j and he was aifo prefented to the living of Much-Munden in Hertford (hire, void by the death of Dr Samuel Ward, Margaret-profeflbr of divinity in that univerfity, before the expiration of this year. Meanwhile he had his turn tvith other favourites in preaching before the houfe of commons, mod of which fermons were printed •, and in them we fee him warmly preffing the fpeedy fettlement of the church in the Prefhyterian form, which he cor¬ dially believed to be according to the pattern in the Mount. He was all the while employed in preparing and publifiung 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 difeouragements in that work, chiefly from that antieruditional fpirit which prevailed’ and even threatened the deffruftion of the univerfities! In 1655 he entered upon the office of vice-chancellor of Cambridge, to which he u’as chofen that year, hav¬ ing taken the degree of doftor of divinity in 1652. ] l i d He performed all the regular exercifes for his degree Ligfitfoot, with great applaufe, and executed the vice-chancellor’s lighting, office wuth exemplary diligence and fidelity ; and, par- ' ticularly at the commencement, fupplied the place of profeflbr of divinity, then undifpofed of, as an aft which was kept for a doftor’s degree in that profeffion. At the fame time he was engaged with others in perfecting the Polyglott Bible, then in the prefs. At the Refto- ration he offered to refign the mafterflnp 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 oppofition to the king and govern¬ ment, a confirmation w'as granted him from the crown, both of the place and of his living. Soon after this he was appointed one of the afliftants at the conference upon the liturgy, which was held in the beginning of 1661, but attended only once or twice j probably dif- gufted at the heat with which that conference was ma¬ naged. However, he (luck clofe to his defign of per- feCling his Harmony : and being of a ftrong and heal¬ thy conftitution, which was affifted by-an exact 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 bookfellers got a promife from him to colleR and me- thodife his works, in order to print them ; but the exe¬ cution was prevented by his death, which happened Dec. 6. 1675. The doClor was twice married : his firit wife, 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 Hertfordihire, a gen¬ tleman well verfed in rabbinical learning, and a parti¬ cular acquaintance of our author. He had no ifllic by her. She alfo died before him, and was buried in Munden church ; where the doftor was himfelf like¬ wife interred near both his wives. Dr Lightfoot’s works were colle&ed and publilhed 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 Engliffi. At the end of both ’thefe editions there is a lift of fuch pieces as he left unfiniffi- 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, fobo. They were communicated by Mr Strype, who, in 1700, publiffied anorher collection of thefe papers, under the title of “ Same genuine re¬ mains of the late pious and learned Dr John Lieht- foot.” LIGHTING OF Streets. This invention, which is generally confidered as of modern date, contributes greatly to the convenience and fafety of the inhabitants of large cities, as well as to the ornament ©f their ftreets. It is not probable that the ftreets of ancient Rome were lighted, fince the Romans confidered the ufe of flambeaux and lanterns to be fo necelTary in re¬ turning home from their no&urnal vifits. It appears that fuch as walked the rtreets without thefe went home in darknefs j and the return of Gito in the night-time, of which Petronius makes mention, clearly proves that the ftreets of Naples were not lighted. Such as have aferibed a remote antiquity to the lighting of ftreets, feem Lighting, feem to have miftaken it for what are called illumina- *—-'vr—tions, which indeed are of great antiquity. Egyptians, Jews, Greeks, and Romans, during the celebration of memorable feftivals, were in the habit of illuminating their houfes ; but this is entirely different from the prac¬ tice which we are now confidering. Paris was probably the firft city in modem times, the ilreels of which were lighted, about the beginning of the 16th century, as they were very much infeded by robbers and incendiaries. This occafioned an edift, iffued in 1524, commanding the inhabitants, whofe windows fronted the ftreet, to keep lights burning af¬ ter nine o’clock at night. In 1558, falots were placed at the corners of the tlreets; but when thefe were too long to receive benefit from the light of one, three were ereiffed in different parts of it. The city of Paris had then 91 2 ilreets, and the number of lights rather under 2736 ; but in the fame year thefe were changed for lanterns, of a fimilar conftruflion with thofe ufed at prefent. In 1671, the lanterns were ordered to be lighted every year from the 20th October to the end of March the enfuing year. Some time after this a premium was offered for a differtation on the belt means of improving the lighting of the ftreets, when a journeyman glazier obtained a premium of 200 livres, and Meffrs Bailly, le Roy, and Bourgeois de Chateaublanc, 2000 livres. The lamps of Paris amounted to 5772 in the year 1721, and in 1771, to 6232. The city of Nantz was lighted in 1777, and had no fewer than 300 lamps in the year 1780. The inhabitants of the city of London were ordered, in 1688, to hang out lanterns duly at the accuftomed time, which was renewed in 1690 and in 1716 it was enabled, that all thofe whofe houfes fronted any ftreet, lane, or public paffage, fliould hang out one or more lights, which were to burn from 6 o’clock to 11. But as the time of lighting them was rertridled to 117 nights in the year, on which account many depreda¬ tions were eafily committed by thieves and robbers, the lord mayor and council applied for, and obtained an aft of parliament, empowering them to light the ftreets in a better manner. In confequence of this aft, the lamps were increafed from ICOO to 4769, and afterwards to 5000. But as thefe were confined to the city and li¬ berties, about one-fifth of the whole of London, the number of lamps could not be lefs than 15,000. The continuance of their burning was alfo increafed from 750 to 5000 hours. In 1744, another aft wyas obtain¬ ed to regulate ftill farther the lighting of the city, and it was placed on the footing on which it Hands at pre¬ fent. Thefe are nov? fo numerous, that Oxford ftreet alone is faid to contain more lamps than the whole city of Paris. Birmingham was lighted for the firft time in I733> with 700 lamps. In 1669, Amfterdam was lighted by lanterns 5 the Hague in 1553 was lighted in a particular manner, but lamps were not fixed up in all the ftreets till the year J678. The ftreets of Copenhagen wxre lighted in 1681, the plan of which w’as much improved in T683. Berlin at prefent has 2354 lamps, kept lighted from September to May at the expence of the fovereign. Vienna began to be lighted in 1687, and lamps were introduced in 1704. In 1776 their number amounted to 2000, which was increafed to 3000, to be lighted at ] L 1 G the annual expence of 30,000 florins. Leipzig was Lightning lighted in 1702, Drefden in 1705, Caffel in 1721, afid H Gottingen in 1735. A praftice fo beneficial to the. < fafety and convenience of mankind, has been very lau¬ dably imitated by almoft every city and town in Europe. Beckman Hi/}, of Invent. LIGHTNING, a bright and vivid flaftr of fire, fuddenly appearing in the atmofphere, and commonly difappearing in an inftant, fometimes attended with clouds and thunder, and fometimes not. For an ac¬ count of the phenomena of lightning, and of the opi¬ nions concerning it, fee Electricity Index. Artificial Lightning. Before the difeoveries of Dr Franklin concerning the identity of eleftricity and lightning, many contrivances were invented in order to reprefent this terrifying phenomenon in mi¬ niature : the corufcations of phofphorus in warm rvea- ther, the accenfion of the vapour of fpirit of wane evaporated in a clofe place, See. wrere 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 fire, and produced all the deftruftive effefts of that phenomenon. Thefe repre- fentations, however, are now no more exhibited j 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 ma¬ chines. Lightning was looked upon as facred 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 afhes of other men fhouid receive pollution from them. Some fay they were interred upon the very fpot where they died j 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 vras hedged in, left any perfon unawares fhouid contraft pollution fiom 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 or bad omen, according to the circumftances at¬ tending it. UGNICENCIS terra, in the Materia Aledica, the name of a fine yellow bole found in many parts of Germany, particularly about Emeric in the circle of Weftphalia, and ufed as an aftringent. LIGNUM viTy®. See Guaiacum, Botany and Materia Medica Index. Lignum Aloes. See Excoecaria, Botany Index* Lignum Nephriticum. See Guilandina, Botany Index. Lignum Rhodium, or Rofewood, in the Materia Me¬ dica ; a wood, or root, chiefly brought from the Ca¬ nary iflands. The talle of this wrood is lightly bitterifh, and fome- what pungent ) its fmell is very fragrant, refembling that. L I L [ Lignum tllat of rofcs: long kept, it fee ins to lofe its fmell ; Lilburne. !Dut on cutting» or rubbing one piece againft the other, ——it fme'lls as well as at firfl:. Diililled with water, it yields an odoriferous eflential oil, in very fmall quan¬ tity. Rhodium is at prefent in efteem only upon ac¬ count of its oil, which is employed as a high and a- greeable perfume. Lignum Campechenfe. See Hematoxylum, Bo¬ tany Index. Lignum Co/ubrinum. See Ophiorhiza. ^ LIGULATED, among botanifts, an appellation given to fuch tlolcules as have a llraight end turned downwards, with three indentures, but not feparated into fegments. •LIGURIA, in Ancient Geography^ a country of Italy, bounded on the fouth by the Mediterranean fea, on the north by the Apennine mountains, on the weft by part of Iranfalpine Gaul, and on the eaft by Etru¬ ria. . There is a great difagreement among authors con¬ cerning the origin of the Ligurians, though moft pro¬ bably they were defeended from the Gauls. Some carry up their origin as far as the fabulous heroes of antiquity ; while others trace them from the Ligyes, a people mentioned by Herodotus as attending Xerxes ‘in his expeditions againft Greece. I hefe Ligyes are by fome ancient geographers placed in Colchis j by ■others, in Albania.—According to Diodorus Siculus, the Ligurians led a very wretched life; their country -being entirely overgrown with woods, which they were obliged to pull up by the root, in order to cul¬ tivate their land, which was alfo encumbered with great ftones, and, being naturally barren, made but very poor returns for all their labour. They were much addi&ed to hunting; and, by a life of continual exercife and labour, became fo ftrong, that the weakeft Ligurian was generally an overmatch for the ftrongeft and moft robuft among the Gauls. The women are faid to have been almoft as ftrong as the men, and to have borne an equal fhare in all laborious enterpriles. With all their bravery, however, they were not able to refift the Roman power j but were fubdued by that warlike nation, about 211 B. C. LIGUSLICUM, lovage ; a genus of plants be¬ longing to the pentandria clafsj and in the natural me¬ thod ranking under the 45th order, Vmbellatce. See Botany Index. LIGUSTRUM, privet ; a genus of plants belong¬ ing to the diandria clafs ; and in the natural method ranking under the 44th order, Sepia rice. See Botany Index. LILBURNE, John, an enthufiaftic demagogue, who was tyrannically punilhed by the ftar-chamber court, being put in the pillory, whipped, lined, and impnfoned, for importing and publilhing feditious pamphlets, which he had got printed in Holland ; they chiefly refleaed on the church of England and its bilhops; he fullered in 1637, and in prifon was doubly loaded with irons. In 1641, he was releafed 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 m the parliament army, and was at one time the fecret friend and confidant of Cromwell, and at ano ther his avowed enemy and accufer j fo that, in 1650, Cromwell found it to be his intereft to filence him, by 22 ] Ir I L a grant of fome forfeited eftates. But after this, he Lilliaceous grew outrageous againft the protedlor’s government} .11 became chief of the levellers; and was twice tri-d for L f high treafon, but acquitted by the juries. The laft v : was for returning from exile (having been banilhed by the parliament) without a pals. He died in 16 C7 aged 88. ^ h LILIACEOUS, in Lotany, an appellation given to filch flowers as referable thole of the lilv. LILIUM, the LILY } a genus of plants belonging to the hexandria clafs, and in the natural method rank¬ ing under the 10th order, Coronarice. See Botany Index. LILLO, George, an excellent dramatic writer, was born at London in 1693. He was a jeweller by profeffion, and followed his bulinefs for many years in that neighbourhood with the faireft reputation. He was at the fame time ftrongly attached to the mufes, 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, Lilly was happy in the choice of his fubje&s, and Ihowed great power of affe&ing the heart, by working up the paflions to fuch a height as to render the diftreffes of common and domeftic life equally interefting to the audiences as that of kings and heroes, and the ruin brought on private families by an indulgence of avarice, lull, &c. as the havock made in ftates and empires by ambition, cruelty, or tyranny. His “ George Barnwell,” “ Fatal Curiofi- ty,” and “ Arden of Eeverftiam,” are all planned on common and well known ftories ; yet they have per¬ haps more frequently drawn tears from an audience than the more pompous tragedies of Alexander the Great, All for Love, &c. In the prologue to “ El- meric,”. which was not atted till after the author’s death, it is faid, that when he wrote that play, he “ was deprelfed by want,” and affiiaed by dileafe; but in the former particular there appears to be evident¬ ly a miftake, as he died polfeffed of an eftate of 60I. a- year, befides other effedls to a conliderable value. His death happened in 1739, in the 47th year of his age. His works have been collected, and publilhed, with an account of his life, in 2 vols 1 2mo. LILLY, John, a dramatic poet, was born in the Wealds of Kent, about the year 15 $3, and educated in Magdalen-college, Oxford, where he took the degree of bachelor of arts in 1573, and that of mafter in I575* From Oxford he removed to Cambridge } but how long he continued there, is uncertain. \)n his arrival in London, he became acquainted with fome of Queen Elizabeth’s courtiers, by whom he was carefied, and admired as a poet and a wit} and her majefty* on particular feftivals, honoured his dramatic pieces with her prefence. His plays are nine in number. His firft publication, however, printed in 1580, was a romance called Euphues, which was univerfally read and admired. This romance, which Blount, the editor of fix of his plays, fays introduced a new language, efpe- cially among the ladies, is, according to Beikenhout, in fadl a moft contemptible piece of affectation and* non feme : neveithelefs it (eems very certain, that it was in high eftimation by the women of fafliion of thofe times, who, we are told by Whalley, the editor of Ben Johnfon’s works, had all the phraies by heart} and L I L [ 23 ] L I M Lilly, and thofe who did not fpeak Euphui/m were as little —V" regarded at court as if they could not fpeak French. “ He was (fays Oldys) a man of great reading, good memory, ready faculty of application, and uncommon eloquence ; but he ran into a vaft excefs of allufion.” When or where he died is not known. Anthony Wood fays he was living in 1597, when his laid: comedy was publifned. After attending the court of Queen Eliza¬ beth 13 years, notwithftanding his reputation as an author, he was under a necelfity of petitioning the queen for feme fmall ftipend to fupport him in his old age. His two letters or petitions to her majefly on this fubjecl are preferved in manufeript. Lilly, William, a noted Englilh aftrologer, born in Leicelterfhire in 1602 } where his father not be¬ ing able to give him more learning than common writing and arithmetic, he reiolved to feek his for- tune in London. He arrived in 1620, and lived four years as a fervant to a mantua-maker in the parifli of St Clements Danes •, but then moved a ftep higher to the fervice of Mr Wright, mailer of the Salters com¬ pany in the Strand, who not being able to write, Lilly among other offices kept his books. In 1627, when his mailer died, he paid his addrefles to the widow, whom he married with a fortune of 1000I. Being now his own mailer, he followed the puritanical preachers *, and, turning his mind to judicial aftrology, became pu¬ pil to one Evans, a profligate Welffi parfon, in that pretended art. Getting a MS. of the Ars Notitia of Corn. Agrippa, with alterations, he drank in the doc¬ trine of the magic circle, and the invocation of fpi- rits, with great eagernefs. He was the author of the Merlinus Anglicus junior; The Supernatural Sight; and The White King’s Prophecy. In him we have an in- ftance of the general fuperllition and ignorance that prevailed in the time of the civil war between Cha. I. and his parliament : for the king confulted this allro- loger to know in what quarter he ffiould conceal him- felf, if he could efcape from Hampton court j and Ge¬ neral Fairfax, on the other fide, fent for him to his army, to alk him if he could tell by his art, whether God was with them and their caufe ? Lilly, who made his fortune by favourable predidlions to both parties, affured the general that God would be with him and his army. In 1648, he publiffied his Treatife of the Three Suns feen the preceding winter ; and alfo an aftrological judgement upon a conjunction of Saturn and Mars. This year the council of Hate gave him in money 50I. and a penfion of 100I. per annum, which he received for two years, and then refigned on fome dilgult. In June 1660, he was taken into cuftody by order of the parliament, by whom he was examined concerning the perfon who cut off the head of King Charles I. The fame year he fued out his pardon un¬ der the great feal of England. The plague raging in London, he removed with his family to his eilate at Heriham j and in Oflober 1666 was examined before a committee of the houfe of commons concerning the "fire of London, which happened in September that year. After his retirement to Herffiam, he applied himfelf to the Iludy of phyfic, and, by means of his friend Mr Affimole, obtained from Aichbifkop Shel¬ don a licenfe for the pra£lice of it. A little before his death he adopted for his fon, by the name of Merlin junior, one Henry Coley, a taylor by trade 3 and at the fame time gave him the impreffion of his almanac!-: j Lily after it had been printed for 36 years. He died in T 1681 of a dead palfy. Mr Aflimole fet a monument . over his grave in the church of Walton upon Thames. His “ Obfervations on the Life and Death of Charles late King of England,” if we overlook the altrological nonfenfe, may be read with as much fatisfadlion as more celebrated hillories 3 Lilly being not only very well informed, but flridlly impartial. This work, with the Lives of Lilly and Afhmole, written by them- felves, were publiffied in one vol. 8vo, in 1774, by Mr Burman. - LILY. See Lilium, Botany Index. Lilly of the Valley. See Convallaria, Botany Index. LILYByEUM, in Ancient Geography, a city of Si¬ cily, fituated on the molt welterly promontory of the ifland of Sicily, and faid to have been founded by the Carthaginians on their expulfion from Motya by Diony- fius tyrant of Syracufe. It is remarkable for three fieges it fubfla'ned ; one againfl Dionyfius the tyrant, another againfl Pyrrhus king of Epirus, and the third againft the Romans. The two firft failed in their at¬ tempts, but the Romans with great difficulty made themfelves mailers of it. No remains of this once Ilate- Iv city are now to be feen, except fome aqueducts and temples 3 though it was Handing in Strabo’s time. LILYE, William, the grammarian, was born in the year 1466 at Oldham in Hampffiire 5 and in i486 was admitted a femi-commoner of Magdalen college in Oxford. Having taken the degree of bachelor of arts, he left the univerfity, and travelled to Jerufalem. Returning from thence, he continued five years in the ifland of Rhodes, where he Iludied the Greek language, feveral learned men having retired thither after the ta¬ king of Conllantinople. From Rhodes he travelled to Rome 3 where he improved himfelf/in the Greek and Latin languages, under Sulpitius and P. Sabinus. He then returned to London, where for fome time he- taught a private grammar-fehool, being the firlt per¬ fon who taught Greek in the metropolis. In 1510, when Dr Colet founded St Paul’s fchool, Lilye was ap¬ pointed the firlt mailer 3 at which time, it feems, he was married and had many children. In this employment he had laboured 12 years, when, being feized by the plague, which then raged in London, he died in Fe¬ bruary 1523, and was buried in the north yard of St Paul’s. He had the character of an excellent gram¬ marian, and a fuccefsful teacher of the learned lan¬ guages. His principal work is BreviJJima inJUtutio, feu ratio grammatices cognofcenduc ; Lond. 1513. Re¬ printed times without number, and commonly called Lilye's grammar. The Engliffi rudiments were writ¬ ten by Dr Colet, dean of St Paul’s j and the preface to the firft edition, by Cardinal Wolfey. The Englifh fyntax was written by Lilyealfo the rules for the genders of nouns, beginning with propria qiue mari~ bus: and' thofe for the preterperfedl tenfes and fupines, beginning with As in prefenti. The Latin fyntax was chiefly the work of Erafmus. See Ward?s-preface to his edition of Lilye’s Grammar, 173^.. LIMA, the metropolis of Peru, contains 209>fquares of buildings, which comprile 8222 doors of dwelling houfes and (hops, and iffiefe are branched oot into 355 ffreets. In order to maintain peace and tranquillity among th%- L I M [ 24 ] L I M the inhabitants, and for the accommodation of the po¬ lice, the city is divided into four quarters, containing 35 diftri&s, over each of which there prefides an alcaid, who is always elected from among the people of the molt diftinguiihed rank. The population, according to eltimates made at different periods, is as follows. In 1600, 1614, 1700, 1746, *755, 1781, 1790, 14,262 25,455 37,259 60,000 54,000 60,000 52,627 By this table it appears, that from 1746 to 1755, the population fullered a diminution of 6oco, which was owing to an earthquake that happened at the former period ;—a calamity with w'hich that city is often vi- fited. Were it not for this circumllance, Lima would be a perfect paradife, as the adjacent country abounds with corn, wine, oil, fugar, fruits and flax. Such abundance of wealth do the inhabitants enjoy, that when the duke of Palata was lent from Spain as vice¬ roy to Peru, they paved the ftreets through which he was to pafs with ingots of fllver. Libertinifm and de¬ bauchery are the diftinguilhing chara&eriftics of the people of Lima, for which even the nuns are as notori¬ ous as the reft of the females, feldom being free from •venereal complaints. In the month of March 1543, the emperor Charles V. eftablilhed an audience at Lima, in confequence of which the inhabitants w^ere freed from the painful neceflity of feeking a redrefs of their grievances at fo great a di- ftance as Panama. Among the excellent inftitutions by which the Peruvian capital is diftinguiihed we may rank the provincial councils, which Ihew the conftant zeal of the fovereigns of Spain for the defence of reli¬ gion and prefervation of dilcipline. The prelates, by their paftoral vigilance, fpare neither pains nor labour to promote their views, to accomplilh their facred and interefting purpofes. By a decree of the Spajiilh emperor, which reached Lima in 1553, a univerfity was begun in a central fpot of the capital, called the univerfity of St Mark, which is now in a moft flouriftfing condition. Don Francifco Toledo afligned 20,3 1 2 piaftres as a fund for the main¬ tenance of the profeffors, ariiing from the tributes paid by the Indians. Two leisures are given daily on grammar, one on the Indian language, three on philo- fophy, three on theology, three on law, two on canons, and twro on medicine. In the year 1790 an amphi¬ theatre was ere&ed for the ufe of the anatomical ftu- dents. The college for female orphans wras founded by Mateo Paftor De Velafco, not at the hour of death, which often gives to charitable endowments an air of fufpicion, but when he was in the full polleflion of per¬ fect health. In 1597 a pious philofopher founded a charitable inftitution for the fupport of fuch helplefs children as were laid down in the ftreets by their un¬ feeling parts. This building was deftroyed by the earthquake of 1687, which laid in ruins the greater part of the city. It was afterwards rebuilt and is at prefent in a flouriftiing condition. In 1559 an hofpital was ere&ed for the relief of the unfortunate fick, who 2 might otherwife have periihed for want of medical aid, Limaflbl. and obtained the name of the felloxvjkip of Charity and —v ConipaJJion. A general hofpital lor the poor was be¬ gun about 1758, but not completed till 1770, which in 1790 afforded a comfortable afylum to 29 poor people. The afylum for penitent females was founded in 1669. has been laid that there is not a city in the world in which fo many alms are diftributed as in Lima. In the centre of the great fquare there is a fountain of bronze, the ornaments of which are conformable to the rules of the compofite order. It has an elevation 1 5t yards to the helmet of Fame, from which de¬ ducing 14 yards for the height of that figure, the re¬ mainder gives the part to which the water rifes in order to diftufe itfelf. This produdlicn of art, combin- ing magificence in every part of it with fine architec¬ tural tafte, is furrounded by 24 pieces of artillery, and 16 iron chains, a narrow fpace being left for accefs to the inhabitants. Coffee-houles were not known in Lima till the year 1771, when one was opened in the ftreet of Santo Do- mingo, and another the year following. A third was eftablilhed in 1775, a fourth in 1782, and a fifth in 1788, in each of which there is a billiard table for the amufement of the inhabitants. We are forry to fay that the barbarous pradlice of cock-fighting obtains in Lima, for which purpole a building was ereCed in the year 1762. The tennis court isopen to the public, and affords the fpedfator an agreeable hour of relaxa¬ tion from more ferious purfuits. Lima is fituated in W. Long. 76. 44. S. Lat. 12. 1. LIMASSOL, or Limisso, a town of Cyprus, in MaritVs the fouth of the illand. Of the ancient city nothing TVrtw/j but ruins now remains j though it was a celebrated place, even under the government of the dukes. King ^yPruM Richard, 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 Amathonte4 fo famous, as Paufanias tells us, for its temple ereCed in honour of Venus and Adonis. Amathus was the refidence of the nine firft kings of the illand j and, among!! others of Oneliftus, who was fubje&ed afterwards by the arms of Artabanes, the Perfian general. This city, eredled into an archbifliop- ric in the time of the Chriftians, has produced a number of perfonages celebrated for their knowledge and the fan&ity 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 ccquore cinBam, Pifcofamque Gnidon, gravidamque Amathunta metallis. The place where the new Limaffol now Hands former¬ ly had the name of Nemojia, from the multitude of woods by which it was furrounded. Richard king of England having deftroyed Amathonte, Guy de Lu- fignan, in the ’. 2th century, laid the foundation of that new city which the Greeks called Neopolcos. The fa¬ mily of Lufignan, who continued to embellifti and for¬ tify it, built there palaces, and Greek and Latin churches } and made it the feat of a bilhop. When the L I M [ 25 ] L I M Limax tlie illand was taken by tlie Turks in 1570, the Ot- II toman army entered this city on the 2d of July, and Limbat. ravagec[ without mercy. It was then deftroyed by the dames : and at prefent it is only a wretched place, in which one can fcarcely diftinguith any remains of its ancient editices. 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 j and being (heltered from impetuous wands, it affords a fafe and calm afy- lum to veffels wdien overtaken by a ftorm. The carob tree is here more abundant than anyw’here elfe j and it is from the port of Limalfol 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 wrell cultivated in this part of the ifland : the ground alfo produces ail kinds of garden duff. The bed Cyprus wine is made from the vines that grow on the hills of Limaffal. All the wines of the country are collefted in this city to be tranfported to Larnic, where there are the larged cellars, and which on that account becomes the natural centre of commerce. LIMAX, the Slug, or Naked Snail; a genus of animals belonging to the clafs vermes. See Helmin¬ thology Index. LIMB, in general, denotes the border or edge of a thing 5 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, Lirrtbus, in the church of Rome, is ufed in two different ienfes. 1. The limb of the patriarchs is faid to be the place where the patriarchs waited the redemption of mankind : in this place they fuppofe our Saviour’s foul continued from the time of his death to his refur region. 2. The limb of infants dying without baptifm, is a place fuppofed to be didinCf both from heaven and hell ; fince, fay they, children dying innocent of any a&ual fin, do not deferve hell; and, by reafon of their original fin, cannot be admitted into heaven. LIMBAT, the name of a periodical wind common in the ifland of Cyprus, and of great fervice in mode¬ rating the heats of the climate, which would otherwife be intolerable. According to the abbd Mariti, it begins to blow at eight in the morning the firft day increafes as the fun advances till noon j 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 ffrength 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- cismes 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 w’hich it is about to blow, a little before it arifes, one may determine what degree of ftrength it will have during the day. If the horizon is clear, and entirely iree from clouds, the wind will be weak, and even almoft infenfible ; but if it is dark and cloudy, the wind will be flrong and violent. This limbat wind, notwith- Vol. XII. Part I. Handing its utility in moderating the exceflive heat, of- Limborch, ten becomes the caufe ot fevers, efpecially to Europeans, fiimburgh. from their being lefs habituated to the climate, and moie apt than the natives to fuffer thernfelves to be fur- prifed by the cool air when in a ftate of perfpiration. This wind, the falling of which happens an hour iboner or later, is fucceeded by a calm, accompanied by a certain moifture that renders the air fomewhat heavy. This moilture difappears in the evening, being diflipa- ted 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 eafiern parts of the illand ; but it is called a fea breeze by thole in the northern and wreftern, who indeed receive it immediately from the fea. In fummer it blows till four o’clock in the morn¬ ing, and when it ceafes, it leaves a profound calm, w'hich continues till the hour wdien the limbat com¬ mences. In autumn and winter it never falls till day¬ break, when it is fucceeded by other winds, which proceed 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- frething 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 moll infupportable heats commence, becaufe their violence is not moderated by the fmalleli breeze. They are however, luckily not of long duration ; and about the latter end of Oftober they decreafe fenfibly, as the atmolphere begins to be loaded with watery clouds. LIMBORCH, Philip, a learned writer among the remonllrants, born at Amllerdam in 1633. After ha¬ ving made great proficiency in his lluclies, he wras, in 1655, admitted to preach in public, which he did firll at Haerlem. His fermonshad in them no affedled elo¬ quence ; but were folid, methodical, and edifying. He was chofen minilter of Goudja ; from whenpe he was called to Amllerdam, where he had the profefforlhip of divinity, in which he acquitted himfelf with great reputation till his death, which happened in 1712. He had an admirable genius, and a tenacious memory. He had many friends of dillinftion in foreign parts as well as in bis own country. Some of his letters to Mr Locke are printed wdth thofe of that celebrated author. He had all the qualifications fuitable to the character 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 ivorks, which are elleemed ; the principal of which are, 1. Arnica col- latio de veritate religionis ChriJIiance cum erudito Judao, in 1 2mo. 2. A Complete Body of Divinity, accord¬ ing to the opinions and doftiines of the Remonllrants. 3. A Hiltory of the Inquifition ; which has been tranf- lated into Englilh by Dr Samuel Chandler. Lim¬ borch alfo publiibed the works of the famous Epifeopi- us, who was his great-uncle by the mother’s fide. LIMBURGH duchy, a province of the Aufirian Netherlands, bounded by the duchy of Juliers on the north and call, by Luxemburgh on the fonth, and by the bilhopric of Liege on the well. It is about 30 miles in length, and 25 in breadth ; and.confills of good arable^ and pallure land, with plenty of wood, and fome iron mines. Limburgh, the capital city of the duchy of Lim- D burgh. L 1 M [ 26 ] L I M Lime, burgh, in the Auftrian Netherlands, is feated on a fteep Limcnck. rocji uear ^ r;ver VeiTe. 1'his town is (mail, but plea¬ santly Seated on a hill, with (hady woods j and conSxds chietly of one broad llreet, not very well built. It is Strong by fituation, and almoft inacceffible j however, it was taken by the French in 1675, and by the con¬ federates under the duke of Marlborough in 1703, for the houfe of Auftria, to whom it remains by the trea¬ ties of Rafladt and Baden, after having been dismant¬ led. It is famous for its cheefe, which is exceeding good. E. Long. 6. 8. N. Lat. 50. 40. LIME, a peculiar earth. See Chemistry Index. LiME-Tree. See Citrus, Botany Index. Lime or LiNDEN-Tree. See Tilia, Botany Index. LiME-Water. See Pharmacy Index. 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 on the South by Cork. It is a fruitful and populous traff, the foil requiring little or no manure in moft places: beftdes rich pafture for flieep and cows, it produces rich crops of all kinds of corn and rape, with Some hemp. It gave title of earl to the family of Donegal. It contains 375,320 Iriih plantation acres, about 56 church livings, though a much greater num¬ ber of pariihes, 10 baronies, three boroughs; and formerly Sent eight members to parliament. It has Some clays, furze, fern, and mountain lands, and is famous for good cyder; it has been much benefited by the Palatines, who Settled there and increafed til¬ lage ; they are a laborious independent people, moftly employed in their own farms. This county is well watered by large and Small 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 culm, but it is more ufed in kilns than in houfes. There are few lakes except Lough Gur ; and the principal hills are Knockgreny, Knockany, Knokfiring 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-Meath, a market town, a bo¬ rough, and a bifhop’s fee, now the metropolis of the province of Munfter. It is Situated on the river Shan¬ non, 94 miles from Dublin ; and was the ftrongeft fortrels in the kingdom. Its ancient name was Lun- neach; and during the firft ages it was much frequented by foreign merchants, and after the arrival ‘of the Danes was a place of confiderable commerce until the 1 2th century. It was plundered by Mahon, brother of Brien Boromh, after the battle of Sulchoid, in 970 ; and Brien, in a future period, exafted from the Danes of this city 365 tons of wine as a tribute, which Ihows the extenfive traflic carried on by thofe people in that article. About the middle of the 6th century, St Munchin erecled a church and founded a biihopric here ; which, however, was deftroyed by the Danes on their taking pofleffion of this port in 853, and remained in ruins until their converfion to the Chriftian faith in the 10th century ; at which period the church of St Munchin was rebuilt, and the bifhopric eftablilhed. Donald O’Brien, about the time of tire arrival of the Limerick* Englfth, founded and endowed the cathedral ; and Do- v nat O’Brien, bilhop of Limerick, in the 13th century, contributed much to the opulence of the lee. About the clofe of the 1 2th century, the biftiopric of Innis-Ca- thay was united to that of Limerick. It was befieged by King William III. in the year 1690, and though there was no army to aflift it, the king was obliged to raife the fiege. In the year 1691, it w'as again belieged by the Englilh and Dutch on the 21ft of September ; and it was obliged to furrender on the 13th of Odlober following, 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 prelent it has loft its rank ; not becaufe it thrives lefs, but becaufe Cork thrives more. It is compofed of the Irifli and Englilh 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 12th December. There is a privi¬ lege annexed to the fair held on 4th Auguft, that, dur¬ ing 15 days, no perfon can be arrefted in the city or liberties, on any procefs ifiuing cut of the thollel court of Limerick. Ardfert and Achadoe, in the county of Kerry, are united to the biihopric of Li- meric. This city formerly returned two members to parliament; and gives title of vifcount to the family of Hamilton. It is governed by a mayor, ftrerifts, recorder, aldermen, and burgefles ; there is alfo a barrack and a military governor and town major : it had feme time the privilege of coinage; and different parliaments have been held there. The towm was formerly entire¬ ly walled in ; and in 1760, there were 17 of the city gates Handing ; but to the great improvement of the place they are now all demolilhed, except the ivater- gate of King John’s caflle. The linen, woollen, and paper manufactures, are carried on here to great 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 fucceeding reigns. Dr Campbell ob- ferves, that as you approach Limerick, the grounds grow’ rich and exquifitely beautiful ; the only dif- agreeable matter is, that the fituation renders the air moift, and confequently rather unwholefome to ftran- gers. About fix miles from this is the famous Caitle- connel fpa. Limerick is 50 miles from Cork, 50 from Galw’ay, and 73 from Waterford. It appears that Limerick obtained the privilege of having inayors 10 years before that right was allowed to the citizens of London. It was before governed by provoHs, of which the firft was John Spafford in 1195 and 1197 ; during the provoftfliip of Henry Troy a charter was granted, 9 Richard I. whereby the citizens were allow¬ ed to choofe mayors and kailiffs, 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 into that of Iheriff in 1629. Limerick. Limerick . II. Limning. L I M [ 27 ] LIN Limerick is alfo the name of a fair-town in the county of Wexford and province of Leinfter ; the fairs are four in the year. • ir i ^ LIMINGTON, a town of Hampihire 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 5 in which fenfe, the circle may be faid to be the limit of its circumfcribed and infcribed polygons. In Algebra, the term limit 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. LIMITED PROBLEM, denotes a problem that has but one folution, or fome determinate number of folu- tions; as to defcribe a circle through three given points that do not lie in a right line, which is limited to one folution only •, to divide a parallelogram into two equal parts by a line parallel to one lide, which admits of two folutions, according as the line is parallel to the length or breadth of the parallelogram ; or to divide a triangle in any ratio by a line parallel to one fide, which is limited to three folutions, as the line may be parallel to any of the three fides. LI?JME, a town of Kent, in England, near Hithe, and four miles from Romney, was formerly a port, till choked 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, bhe Roman road from Canterbury, called btaneJlreet, end¬ ed here \ and from the brow of its hill may be feen the ruinous Roman walls almoft at the bottom of the marffies. Here formerly was a caftle, now converted irito a farm houfe. When or by whom this edifice was erefted is not known. It has, however, great marks of antiquity $ as has alfo the adjoining church, on which are feveral old tombftones with croffes on them. LIMNING, the art of painting in water colours, in contradiflindlion to painting wffiich is done in oil- colours. Limning is much the more ancient kind of paint¬ ing. Till a Flemiffi painter, one John van Eyck, bet¬ ter known by the name of 'John of Bruges, found out the art of painting 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 j then laid on a ground of white ; laftly, they mixed up their colours with water and fize, or with water and yolks of eggs, well beaten with the branches of a fig tree, the juice whereof thus mixed with the eggs j and with this mixture they paint¬ ed their pieces. In limning, all colours are proper enough, except the wffiite made of lime, which is only tiled in frefco. The azure and ultramarine mult 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 j and, as they are required in working, are diluted with fize wa¬ ter. When the piece is finilhed, they go over it with I,inacre. the white of an egg well beaten 5 and then with varnilh, Limoges 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 pidture 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 firlt you are only to dead-colour the face, which will require about two hours. At the fecond fitting, go over the work more curioully, adding its particular graces or deformities. At the third fitting, finifli the whole j carefully remarking whatever may conduce to render the piece perfeft, as the caft of the eyes, moles, fears, geftures, and the like. LIMOGES, an ancient town of France, in the late province of Guienne, and capital of the department of Upper Vienne, with a biffiop’s fee. It is a trading place, and its horfes are in great efieem. It is feat- ed on the river Vienne, in E. Long. 1. 20. N. Lat. 45- 5°- LIMOSIN, a late province of France, now the de¬ partment of Upper Vienne, bounded on the north by La Marche, on the eaft by Auvergne, on the fouth by Quercy, and on the weft by Perigord and Angou- mois. One part is very cold, but the other more tem¬ perate. It is covered with forefts of chefnut trees 5 and contains mines of lead, copper, tin, and iron j but the principal trade confifts in cattle and horfes. LIMPET, a genus of ftiell-fiffi. See Patella, Conchology Index. LIMPURG, a barony of Germany, in the circle of Franconia, included almoft entirely within Suabia, and feated to the fouth of Hall in Suabia. It is a- bout 15 miles long, and eight broad. Gaildorf and Shonburg, near which is the caftle of Limpurg, are the principal places. Limpurg, a town of Germany, in the deflorate of Triers or Treves, and in Wetteravia, formerly free and imperial, but now fubjeft to the deflorate of Treves. It is feated on the river Lhon. E. Long. 8. 13. N Lat. 50. 18. LINAR I A. See Fringilla, Ornithology Index. LINACRE, Thomas, phyfician, was born at Can¬ terbury about the year 1460, and there educated under the learned William Selling : thence he removed to Oxford, and in 1484 was chofen fellow of All-Soul’s college. Tilly, alias Selling, his former inftruftor, being at this time appointed ambaffador from King Henry VII. to the.court of Rome, Mr Linacre accom¬ panied him to Italy, where he attained the higheft de¬ gree of perfeflion in the Greek and Latin languages. At Rome, he applied himfdf particularly to the ftudy of Ariftotle and Galen, in the original. On his return to Oxford, he was incorporated doflor of phyfic, and chofen public profeffor in that faculty. But he had not been long in England, before he was commanded to court by King Henry Vil. to attend the young prince Arthur as his tutor and phyfician. He was afterwards appointed phyfician to the king, and after his dea'h, to his fucceffor Henry VIII. Dr Linacre founded two medical leflures at Oxford, and one at Cambridge*, but that which moft effeflually immortalized his name a- mong the faculty, is his being the firft founder of the college of phyficians in London. He beheld with vexa- D 2 lion / I Lincoln. LIN [28 tion the wretched date of phyfic in thofe times ; and by an application to Cardinal Wolfey, obtained a pa¬ tent in 1518, by which the phyficians of London were incorporated. The intention of this corporation was to prevent illiterate and ignorant medicarters from prac- tifmg the art of healing. Dr Linacre was the firlt pre- fident, and held the office as long as he lived. Their meetings were in his own houfe in Knight-rider flreet, which houfe he bequeathed to the college. But our dodor, when he was about the age of 50, took it into his head to iludy divinity-, entered into orders ; and was collated, in 1509, to the redory 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 Hone in the bladder in Oclober 1524, aged 64 ; and was buried in St Paul’s. Thirty-three years after his death, Doctor John Caius caufed a monument to be ere&ed to his memory, with a Latin infeription, which contains the outlines of his life and charader. He was a man of great natural fagacity, a Ikilful phy- fician, a profound grammarian, and one of the belt Greek and Latin fcholars of his time. Erafmus in his e pi Hies fpeaks highly of the Dodor’s tranflations from Galen, preferring them even to the original Greek. His works are, 1. De emendata JlruBura La- tint feryonis, libri fex; London, printed by Pynfon, J524, 8vo, and by Stephens, 1527, 1532. 2. The Rudiments of Grammar, for the ufe of the princefs Mary, printed by Pynfon. Buchanan tranflated it into Latin ; Paris, 1536. He likewife tranflated in¬ to very elegant Latin feveral of Galen’s works, which w-ere printed chiefly abroad at different times. Alfo Frock Diadachi fphevra, tranflated from the Greek ; Venet. 1499, I500- 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 hili at the bot¬ tom of which runs the river Witham in three fmall channels, over which are feveral bridges. The old Lindum of the Britons, which flood on the top of the hill, as appears from the veltigeS of a rampart, and deep ditches flill remaining, was taken and demoliffied by the Saxons 5 who built a town upon the fouth fide of the hill down to the river fide, which was feveral times taken by the Danes, and as often retaken by the Saxons. In Edward the Confeffor’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 moft populous cities in Eng¬ land. William I. built a caftle upon the fummit of the hill above the town. The diocefe, though the bi- fliopric of Ely was taken out of it by Henry II. and thofe of Peterborough and Oxford by Henry VIII. is flill vaftly large, containing the counties of Leicefler, Huntingdon, Bedford, and part of Bucks, making 1 255 parifhes. 1 hough the other churches are mean, the cathedral or minfler is a moft magnificent piece of Go¬ thic architefture. 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 Bands is fo high, and the church itfelf fo lofty, that it may be feen 30 miles to the north and 30 to the fouth. Befides other tombs, it contains one of brafs, ] LIN in which are the entrails of Queen Eleanor, wife to Lincoln. Edward I. It is faid there were anciently 32 churches, —-v— which 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 laid of one who was dif- plealed, that he holed like the devil over Lincoln. The declivity on which the city is built being fteep, the communication betwixt the upper and lower town is very troublefome, and coaches and horfes are obli¬ ged to make a compafs. King Edward HI. 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 pnfoner ; and once taken by Henry III. from his re¬ bellious barons. It abounded heretofore with mona- heries 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 Roman north gate ftill remains entire, by the name of Newport Gate. It is one of the nobleft: of this fort in Britain. It is a vaft femicircle of ftones of very large dimenfions laid without mortar, conneft- ed only by their uniform fhape. This magnificent arch is 16 feet in diameter, the fttmes are four feet thick at the bottom. It feems to have a joint in the middle not a keyftone : and on both fides, towards the upper part, are laid horizontal ftones of great dimenfions fome 10 or 12 feet long. This arch rifes from an im¬ port of large mouldings, which are not perceivable now; there are alfo divers fragments of the old Roman wall. Over againft the caftle is an entrenchment caft up by King Stephen ; and here are carved the arms of John of Gaunt duke of Lancafter, who lived here like a king, and had a mint, hhe city has a communica¬ tion with the Trent, by a canal called the Fofs-dyke. In the centre of the old ruined caftle there is a hand- fome modern ftrufture 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 ftate, but the remains of the tow^er 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 is a county of itfelf, and has a vifeountial jurifdiaion, for 20 miles round, which is a privilege that no other city in England can equal. It now' confifts principal¬ ly of one ftreet above two miles long, well paved, be¬ fides feveral crois and parallel ftreets well peopled. Here are fome very handfome modern buildings, but more antique ones j upon the whole, it has an air of ancient greatnefs, arifing in a great meafure from the number of raonaftic remains, moft of which are nowr converted into ftables, out-houfes, &c. Upon the hill, in the caftle, are the ruins of the bithop’s palace, and other ruins of ancient grandeur and magnificence. The city is fupplied with water by feveral conduits, among w’hich is a modern one, fomewhat in the pyra- midical ftyle, enriched with fculpture. It is governed by a mayor, twelve aldermen, two flieriffs, a recorder, four chamberlains, a fwordbearer, four coroners, and above forty common-council men. Here are four cha¬ rity fchools, where 120 poor children are taught by the LIN [ 29 ] LIN Lincoln 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 fometimes feen, as well as on Salifbury Plain. Lincoln- Heath extends above 50 miles, viz. from Sleaford and Ancaller louth to the Humber north, though it is but three or four miles over where broadeft Five miles from Bofton on this extenfive heath, Lord le Defpenfer built a towrer for the diredtion of Itrangers. It is a lofty fquare building with a ftaircafe, terminating in a flat roof, and round the bafe is a fquare court-yard. Great part ol this extenfive heath has been enclofed. 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 Englifn territories, in prefence of the archbifhops or Canterbury, York, and Ragufa, 13 bilhops, and a vaft number of temporal lords and knights. King Hen¬ ry 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 crucified the child of one Grantham, and thrown it into a well, to tnis 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. 1. N. Lat. 53-A 6. 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 wed by Notting- hamfhire, on the north by Yorklhire, on the louth by Rutlandshire, Northamptonfhire, and Cambridgelhire. It contains 631 panflres, and 31 market towns, and re¬ turns 1 2 members to parliament. The principal rivers are the Humber, the Trent, the Witham, the Nenn, the Welland, the Ankham, and the Dun. It is di¬ vided into three parts, Lindfay, Keftoven, and Hol¬ land 5 the air of which lafl is unwholefome and foggy, on account of the fens and large marflies. The foil of the north and weft parts is very fertile, and abounds in corn and paftures. The eaft and fouth parts are not fo proper for corn ; but then they fupply them w ith filh and fowl in great plenty, particularly ducks and geefe. Lincoln is the principal town. By inland navigation, this county has communication with the rivers Mer- ley, Dee, Kibble, Oufe, Darwent, Severn, Thames, Avon, &c. which navigation, including its windings, extends above 500 miles through different counties. this county in i8or, contained 41.395 houfes, in¬ habited by 42,629 families ; and the total number of inhabitants amounted to 208,557. LINDESFARN, or Landisfarn. See Hoir- Jjland. , Sir David, a celebrated Scots poet, was defcended of an ancient family, and born in the reign of King James IV. at his father’s feat, called the 5/////“, near Cupar, in Fifefhire. 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 bedchamber 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 H33> 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 Lindfey, his inveftives againft the clergy, which are frequent in Gneus. all his waitings. After the deceafe of King James V. ' ~ 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 remainder 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 wmrds, 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 manufcript. 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 firfl: Eng- lifh dramatic poet. His poems are printed in one fmall volume } and fragments of his plays, in manu¬ fcript, are in Mr William Carmichael’s colle&ion. LINDSEY, the third and largeft divifion of the county of Lincolnfhire in England. On the eaft and north it is wafhed by the fea, into which it rr,». out w ith a large front 5 on the weft it has Yorkfhire and Nottinghamfhire, from which it is parted by the ri¬ vers Frent and Dun j on the fouth it has Keftevan, fiom which it is feparated by the river Witham and the Fofs-dyke, which is feven miles long, and w’as cut by Henry I. between-the Witham and the Trent, for the convenience of carriage in thofe parts. It had its name from Lincoln, tne capital of the county, which flands in it, and by the Romans called Lindum, by the Britons Lindcoite, by the Saxons Lindo-col/yne, pro¬ bably from its fituation on a hill, and the lakes or woods that were anciently thereabouts 3 but the Nor¬ mans called it Nichol. It gives title of earl and mar¬ quis to the duke of Ancafter. LINDLS, in Ancient Geography, a town of Rhodes, fituated on a hill on the weft fide of the iiland. It w’as built by I lepolemus the fon of Hercules, accordino- to Diodorus Siculus ; by one of the Heliades, grand- fons of the Sun, named Lindas, according to Strabo. It was the native place of Cleobulus, one of the wife men. Here we fee the famous temple of the Lindian Minerva, which was built by the daughters of Danaus’. Cadmus enriched this temple wdth 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 a high hill wrhich overlooks the fea. Some remains of the walls, cor.fifting of ftones of an enormous fize, ftill lhowT 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 rubbilh. Linda y LIN [ 30 ] LIN •Line Lindo, the modern city, ftands at the foot of the ^.11 hill. A bay of conliderable widenefs and depth a‘ ferves as a harbour to the city. Ships find good an¬ chorage there in twenty fathoms water. They are fafely fiieltered from the fouth-weft winds, which con- llantly prevail through the fevereft feafon of the year. In the beginning of winter, they call anchor off a finall village named Maffary. Before the building of Rhodes, Lindus was the harbour which received the lleets 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 flourilhing 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 underflood of the dif- poiition of an army ranged in order of battle, with the front extended as far as may be, that it may not be flanked. Li ne of Battle, is alfo underftood of a difpofition of the fleet in the day of engagement •, on which oc- cafion the vefl'els are ufually drawn up as much as pof- fible in a flraight line, as well to gain and keep the ad¬ vantage of the wind as to run the fame board. See Naval Tactics. Horizontal Line, in Geography and Aftronomy, a line drawn parallel to the horizon of any part of the earth. Ectinno&ial 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 bifedting the earth in that part. From this imaginary line, the degrees of longitude and latitude are counted.—In afironomy, the equinoftial line is that circle which the fun feems to defcribe 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 through the two poles of the earth and any part of its furface. See Geography Index. Ship of the Line, a veffel large enough to be drawn up in the line, and to have a place in a fea- fight. Line, in Genealogy, a feries or fucceffion of rela¬ tions in various degrees, all defcending from the fame common father. See Descent. Line, alfo denotes a French meafure containing the 1 2th part of an inch, or the 144th part of a foot. Geometricians conceive the line fubdivided into fix points. The French line anfwers to the Englifh bar¬ ley-corn. Fijhiing Line. See Fishing Line. Lines, in Heraldry, the figures ufed in armories to - divide the fhield into different parts, and to compofe different figures. Tbefe lines, according to their dif¬ ferent forms and names, give denomination to the pieces or figures which they form, except the flraight 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 turn, in the middle. It is called linea, line, as being ftraight; and alba, from its colour, which is white.—The linea alba receives a I twig of a nerve from the intercoftals in each of its di- Lineament gitations or indentings, which are vifible to the eye, .11 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 wdiich may be folved geo¬ metrically by the interfeflion of two right lines. This is called a fmple problem, and is capable but of one folution. LINEN, in commerce, a wmll known kind of cloth, chiefly made of flax.— Linen was not worn by the Jews, Greeks, or Romans, as any part of their ordinary drefs. Under-tunics of a finer texture fup- plied the place of fliirts : Hence the occafion for fre¬ quent bathing. Alexander Severus was the firit em¬ peror who wore a fliirt : but the ufe of fo necef- fary a garment did not become common till long after him. The linen manufaflure was probably introduced into Britain wdth the firrt fettlements of the Romans. The flax was certainly firit planted by that nation in the Britifh foil. The plant itfelf indeed appears to have been originally a native of the eaft. The woollen- drapery would naturally be prior in its origin to the linen 5 and the fibrous plants from wLich the threads of the latter are produced, feem to have been firft noticed and worked by the inhabitants of Egypt. In Egypt, indeed, the linen manufafture appears to have been very early : for even in Jofeph’s time it had rifen to a confiderable height. From the Egyptians the knowr- 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 j the weflern kind being merely a degenerate fpecies of it. In order to fucceed in the linen manufacture, one fet of people fhould be confined to the ploughing and preparing the foil, fowing and covering the leed, to the weeding, pulling, rippling, and taking care of the new feed, and watering and drefling the flax till it is lodged at home : others fliould be concerned in the drying, breaking, fcutching, and heckling the flax, to fit it for the fpinners •, and others in fpinning and reeling it, to fit it for the weaver : others fliould be concerned in taking due care of the weaving, bleach¬ ing, beetling, and finifliing the cloth for the market. It is reafonable to believe, that if thefe feveral branches of the manufaClure were carried on by diftinCl dealers in Scotland and Ireland, where our home-made linens are manufactured, the feveral parts would be better ex¬ ecuted, and the whole wrould 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 periffiable, and foon w^aflies out.—In- ftead of the vitriol, a folution of iron in four ffrong beer is to be made ufe of. This is well known to all the calico- printers 5 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 on the common printed linens. LIN [ 31 ] LIN Linen The method of making this iron-liquor is as follows : U A quantity of iron is put into the four ftrong beer*, Linlithgow. an(^ to proroote the diffolution of the metal, the whole " v is occalionally well itirred, the liquor occafionally drawn off, and the ruff beat from the iron, after which the li¬ quor is poured on again. A length of time is required to make the impregnation perfect *, the folution being reckoned unfit for ufe till it has flood at leaft a twelve- month. This folution flains the linen of a yellow, and different lhades of buff-colour; and is the only known fubflance by which thefe colours can be fixed on linen. The cloth ftained deep with the iron-liquor, and after¬ wards boiled with madder, without any other addition, becomes of the dark colour which we fee on printed linens and cottons \ which, if not a perfebl black, has a very near refemblance to it. Others are ftained paler with the fame liquor diluted with wrater, 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 fhould be as fully laturated as poflible *, it fhould 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 conftderable time, fometimes feveral days, after the liquor has been ap¬ plied : to haften its appearance, the fubjett fhould be expofed to the fun and free air, and occafionally re¬ moved to a moift place, or moiftened wdth water.— When folution of gold in aqua regia is foaked up in linen cloths, the metal may be recovered by drying and burning them. Linen flowered with Gold-leaf. Dr Lewis mentions a manufacture eftabliftied in London for embellifhing linen with flowers and ornaments of gold-leaf. The linen, he fays, looks whiter than moft of the printed linens 5 the gold is extremely beautiful, and bears walk¬ ing well. The doClor informs us, that he had feen a piece which he was credibly informed had been vvaflied three or four times, with only the fame precautions which are ufed for the finer printed linens j and on which the gold continued entire, and of great beauty. Concerning the procefs ufed in this manufaClure, he gives us no particulars. Fofli/e Linen, is a kind of amianthus, which confifts of flexible, parallel, foft fibres, and which has been ce¬ lebrated for the ufes to which it has been applied, of being woven, and forming an incombuflible cloth. Paper alfo, and wicks for lamps, have been made of it. See Amianthus, Asbestos, and Mineralogy Index. LING, a fpecies of fiflt belonging to the genus Ga- dus, which fee in ICHTHYOLOGY Index. LINGEN, a ftrong town of Germany, in the cir¬ cle of Weftphalia, and capital of a county of the fame name. It belongs to the king of Pruflia; and is fitu- ated on the river Embs, in E. Long. 7. 30. N. Lat. 52. 32. LINIMENT, in Pharmacy, a compofition of a con¬ fidence fomewhat thinner than an unguent, and thicker than an oil. See Materia Medica Index. LINLITHGOW, the chief town of Weft Lothian in Scotland. It is fuppofed to be the Lindum of Ptole¬ my t 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 leat of a prelhytery. Here is carried on a confiderable trade Linlithgow, in drefiing of white leather, which is fent abroad to be bmluhgow- manufadured; and many hands are employ ed in drefling ' , of flax ; alfo in wool-combing, the wmol for which is brought from the borders. Its port was formerly Black- nefls-, but fince the decline of that fl2.cz, Borrowflounnefs, about two miles diftant from Linlithgow7. The town confifts of one open ftreet, from whence lanas are de¬ tached on both fides; the houfes are built of ftone, tolerably neat and commodious; and the place is a- dorned wdth feme ftately public edifices. The palace, built, as Sibbaid fuppofed, on the leat of a Roman 11a- tion, forms a fquare with totvers at the corners, and Hands on a gentle eminence, with the beautiful loch be¬ hind it to the weft. It was one of the nobleft of the roy¬ al refidences; and wTas greatly ornamented by James V. and VI. Within the palace is a handfome fquare j one fide of which is more modern than the others, having been built by James VI. and kept in good repair till 1 746, 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 fides 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¬ munication wdth the rooms *, in one of which the un¬ fortunate Mary Stuart firft faw light. On the north fide of the high ftreet, on an eminence call of the pa¬ lace, Hands St Michael’s church ; a handfome ftrufture, 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 fhown the gallery where the regent Murray was fhot. Here was a houfe of Carmelites, founded by the townfpeople in 1 290, deftroyed by the Reformers 1559. The family of Livingfton, who took the title of earl from this place, were hereditary keepers of this palace, as alfo bailiffs of the king’s bailifry, and con- ftables of Blacknefs caftle 5 but by their concern in the rebellion of 1715 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 Callen- dar, was created earl of Callendar by Charles L.1641, which title funk into the other. LINLITHGOWSHIRE, or West Lothian, nearly approaches in form to a parallelogram, about 20 miles long from eait to weft, and from 10 to 13 broad, from north to fouth. It is bounded by the river- Forth on the north *, by the river Amond on the fouth- eaft $ by Lanarkfliire on the fouth-weft *, and by the river Avon on tha w’eft. It is allowed to be one of the richeft counties in Scotland, the foil in general being a rich loam, in a high ftate of cultivation and improve¬ ment. Its furface is diverfified by gentle fwells and fertile plains 3 and the number of elegant feats almoit everywhere to be met with, gives it both a rich and de¬ lightful appearance. The whole is a compofition of all that is great and beautiful; towns, villages, feats, and ancient towers, decorate each bank of that fine expanfe of water, the frith of Forth. The lofty moun¬ tains . LIN [3 " ^'ihiif0^' ^a”1S t^‘e -highlands form a diftant, but auguft Linnaeus. houndary towards the north-weft ; and the eaftern view «—is enlivened with (hips perpetually appearing or vanifh- mg, amidft the numerous iflands. Hopetoun-houfe, Barnbougle-caftle, Calder-houfe, Craigie-hall, and the feat of General Dundas, are fome of the principal orna¬ ments of this county. It contains two royal boroughs, Linlithgow and Queensferry, befides the towns of Borrowitounnefs, Bathgate, and Kirkliftoun. It is poorly fupplied with running water, the Avon and Amond being the only ftreams which are deferving of notice. 'Ihere are many valuable minerals found in it in abundance, fuch as coal, limeftone, and fome lead ore. In the reign of James VI. a vein of lead w as dif- covered, fo rich in iilver, that it was thought wTorthy of being wrought for the fake of that metal alone. Almoft every parifh abounds with ironftone, which is extenfively wrought in the parfth of Bathgate. In many places there are appearances of whinftone or bafalt, par¬ ticularly at Dundas-hill, in the parifh of Dalmeny, where there is a folid front of bafaltic rock, exhibiting in fome places regular columns. The population of this county in 1801 amounted to 17,844. The fol¬ lowing is the population of the parifhes according to the Statiftical Hiftory. 2 1 Polar Star, in 1757 h Pai'iJJjes. I Abercorn Bathgate Borrowftounnefs Carriden 5 Dalmeny Ecclefmachan Kirkliftoun Linlithgow Livingftone 13 Queensferry Torphichen Uphall 13 Whitburn Population in 11SS- io37 1594 2668 1164 1103 351 1461 3296 598 45i I295 690 1121 Population in 179c-—175)8. 870 2309 3*78 1450 907 2I5 I5°4 3221 420 505 1069 600 I322 16,8 29 i7!57o 16,829 Increafe, 741 LINN ALUS, Sir Charles, a celebrated botanift and natural hiftorian, was born on May 24. 1707, in a village called Roejhult in Smaland, wrhere his father, Nicholas Linnaeus, w'as then vicar, but afterwards pre¬ ferred to the curacy of Stenbrohult. We are told, that on the faim w’here Linnaeus was born, there yet ftands a large lime tree, from which his anceftors tooL the furnames of TiHander^ Lindelius, and Lintnvus ; and that this origin of furnames, taken from natural objecls, is not uncommon in Swreden. 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 a- v^ait the moft fuccefsful proficients in medical fcience 5 fmee we find that he was made piofeffor of phyfic and botany, in the univerfity of Upfal, at the age of 34 5 and fix years afterwards, phyfician to Adolphus king of Sweden j who in the year 1753 honoured him itill farther, by creating him knight of the order of the L 1 N His honours did not [terminate here : for LlrtiXus, was ennobled ; and in 1776 the king of1”— ' 1 $ Frcm Dr Sweden accepted the refignation of his office,, and re-p™.™ warded his declining years by doubling his penfion, and Genera/ by a liberal donation of landed property fettled on him View of the and his family. ' Life and ' It feems probable, that Linnaeus’s tafte for the ftu- wfitin8s °f dy of nature w as caught from the example of his fa- Lmneeus- ther ; who, as he has himfelf informed us, cultivated, as his fiift amufement, a garden plentifully ftored with plants. Young Linnaeus foon became acquainted with thefe, as well as with the indigenous ones of his neigh¬ bourhood. Yet, from the ftraitnefs of his father’s in¬ come, caw young naturalift was on the point of beino- deftined to a mechanical employment; fortunately', however, th;s defign was over-ruled. In 1717 he was fent to fchool at Wexfio; where, as his opportunities were enlarged, his progrefs in all his favourite purfuits w-as proportionably extended. At this early period he paid attention to other branches of natural hiftory, par¬ ticularly to the knowdedge of infects. The firft part of his academical education Linnseus received under Profeflbr Stobaeus, at Lund, in Scania, who favoured his inclinations to the ftudy of natural hiftory. After a refidence of about a year, he remov¬ ed 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 years a Itu- 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 eftabliffied character in literature. He was in a particular manner encou¬ raged in the purfuit of his fiudies by the patronage of Dr Olaus Celfius, at that time profeflbr of divinity, and the reftorer of natural hiftory in Sweden ; who, being (truck with the diligence of Linnseus in deferib- ing the plants of die Upfal garden, and his extenfive knowdedge of their names, not only patronized him in a general w-ay, but admitted him to his houfe, his ta¬ ble, and his library. Under fuch encouragement it is not ft range that our author made a rapid progrefs, both in his ftudies and the efteem of the profelfors: in faCt, we have a very ftriking proof of his merit and attainments 5 fince 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 Profefibr Rudbeck. In the year 1731, the R.oyal Academy of Sciences at Upfal having for fome time meditated the defign of improving the natural hiftory of Sweden, at the in- ftance particularly of ProfeflTors Celfius and Rudbeck, deputed Linnaeus to make the tour of Lapland, wdth the foie view of exploring the natural hiftory of that arCtic region ; to which undertaking, his reputation, already high as a naturalift, and the (Length of his conftitution, equally recommended him. He left Up¬ fal the 13th of May, and took his route to Gevalia or Gevels, the principal town of Geftricia, 45 miles di¬ ftant from Upfal. Hence he travelled through Hel- fingland into Medalpadia, where he made an excur- fion, and afeended a remarkable mountain before he reached Hudwickfwald, the chief towm of Helfingland. From hence he w’ent through Angermaniand to Her- nofand. LIN [ 33 ] LIN linnEus. nofand, a fea-port on the Bothnia gulf, 76 miles diftant —-y——1 from Hudwickfwald. When he had proceeded thus far, he found it proper to retard his journey, as the fpring was not fufficiently advanced ; and took this opportunity of vifiting thofe remarkable caverns on the fummit of Mount Skula, though at the hazard of his life. When Linnmus arrived at Uma, in Wert: 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 moil fouthern parts of Lapland. Being novr come to the country that was taore particularly the obje£t of his inquiries, equally a ftranger to the language and to the manners of the people, and without any aflbciate, he committed himfelf to the hofpitality of the inhabitants, and ne¬ ver failed to experience it fully. He fpeaks in feveral places, with peculiar fatisfaclion, of the innocence and fimplicity of their lives, and their freedom from difeafes. In this excurfion he reached the mountains towards Norway •, and, after encountering great hardrtiips, 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 j inhabited only by a few ftraggling people, originally defcended from the Finlanders, and who fettled in this country in remote ages, being entirely a diftindl people from the Laplanders. In this diftridt he afcended a noted mountain called Wallevari; in fpeaking of which he has given us a pleafant relation of his finding a An¬ gular and beautiful new plant (Andromeda tetragona') when travelling within the arflic circle, with the fun in his view at midnight, in fearch of a Lapland hut. From hence he crofted the Lapland Alps into Fin- mark, and traverfed the ftiores of the North fea as far as Sallero. Thefe journeys from Lula and Pitha on the Both- nian gulf, to the north (hore, were made on foot 5 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 thefe two men, both old, and fufficiently loaded with his baggage, excited his admiration ; fince they appeared quite unhurt by their labour, while he himlelf, although young and robuft, was frequently quite exhaufted. In this journey 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 teafing than in the torrid zones. In defcending one of thefe ri¬ vers, he narrowly efcaped periftiing by the overfetting of the boat, and loft many of the natural produdlions which he had collefled. Linnaeus thus fpent the greater part of the fummer in examining this ardlic region, and thofe mountains on which, four years afterwards, the French philofo- phers fecured immortal fame to Sir Ifaac Newton. At length, arter having fuffered incredible fatigues and hardfhips, in climbing precipices, parting rivers in mi- ferable boats, fullering repeated viciflitudes of extreme heat and cold, and not uufrequently hunger and thirft. Vol. XII. Part X. hs returned to Tornea in September. He did not Lmnseus. take the fame route from Tornea as when he came into Lapland, having determined to viftt and examine the country on the eaftern fide of the Bothnian gulf: his firft: ftage, therefore, wras to Ula in Eaft Bothnia ; from thence to Old and New Carlebay, 84 miles iouth from Ula, He continued his route through Wafa, Chriftianftadt, and Biorneburgh, to Abo, a Imall uni- verfity in Finland. Winter was now fetting in apace j 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 devia¬ tions which fuch a defign rendered necefiary. In 1733 he vifited ai^d examined the feveral mines in Sweden j and made himfelf fo well acquainted with mineralogy and the docimaftic art, that we find he was fufficiently qualified to give leffures on thofe fubjedfs upon his return to the univerfity. The outlines of his fyftem on mineralogy appeared in the early editions of the Syjlema Naturae; but he did not exemplify the w hole until the year 1768. In the year 1734 Linnmus was fent by Baron Reu- terholm, governor of Dalecaria, with feveral other na- turalifts in that province, to inveftigate the natural pro- dudlions of that part of the Sw’edilh dominions •, and it was in this journey that our author firft laid the plan of an excellent inftitution, which was aftenvards exe¬ cuted, in a certain degree at leaft, by himlelf, with the afliftance of many of his pupils, and the refult publiffi- ed under the title of Pan Suecicus, in the fecond volume of the Amcenitates Academicce. After the completion of this expedition, it appears that Linnaeus refided for a time at Fahlun, the princi-^ pal town in Dalecarlia 5 wffiere he tells us, that he taught mineralogy and the docimaftic art, and prac- tifed phyfic j and where he w’as very hofpitably treated by Dr More, the phyfician of the place. It alfo ap- ’ pears, that he contradled 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 Dalecarlian Alps into Norway j but wre have no particular account of his difcoveries in that kingdom. In 1735 Linnaeus 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. I’1 I735’> ^ie year in which he took the degree of M. D. he publiffied the firft fketch of his Sujlcma Nature?, in a very compendious wray, 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 (certain¬ ly before he was 24 years old), laid the bafis of that great ftru£lure which he aftenvards railed, not only to the increafe of his owm fame, but to that of natural fcience. In 1736, Linnaeus came into England, and vifited Dr Dillenius, the . late learned profefibr at Oxford, whom he juftly confidered as one of the firft botanifts in Europe. He mentions with particular refpefl the civilities he received from him, and the privileges he gave him of infpefting 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 E that Linr.seu' <—-'V— to LIN [ that he was jn a more lingular manner indebted the friendlhip of Dr Ifaac Lawfon. He alfo con¬ tracted an intimate friendlhip with Mr Peter Collin- ijn, which was reciprocally increafed by a multitude of good offices, and continued to the laft without any diminution. Dr Boerhaave had furnilhed him with letters to our great naturalift Sir Hans Sloane ; but, it is with regret that we mull obferve, they did not pro¬ cure him the reception which the warmth of his re¬ commendation feemed to claim. One of the moll agreeable circumlfances that hap¬ pened to Linnaeus during his refxdence 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 patnd triginta 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 garden excellently llored with the fineft exotics, and a library furnilhed with almolt every botanic author of note. How happy he found liimlelf in this lituation, tbofe only who have felt tire fame kind of ardour can conceive. Whilit in Holland, our author was recommended by Boerhaave io fill the place then vacant, of phyfician to the Dutch fettlement at Surinam ; but he declined it on account of his having been educated in fo oppolke a climate. Belides beii g favoured with the particular patron¬ age and friendlhip of Boerhaave and Mr Clifford, as is above mentioned, our author had alfo the plea- lure of being contemporary with, and of reckoning among the number qf his friends, many other learned perfons who have fmce proved ornaments to their pro- leffion, and whofe merit has moft defervedly raifed them to fame and honour. Among thefe we may pro¬ perly mention Dr John Burman, prcfeffor of botany at Amllerdam, whofe name and family are well known in the republic of letters, and to whom our author dedi- i ated his Bibliotheca Botanica, having been greatly af- iifted 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 F/o- ra Virgin lea, and who very early adopted Linnaeus’s lyftem ; Baron Van Swieten, phyfician to the em- P e^s queen ; Ifaac Lawfon, before mentioned, after¬ wards one of the phyficians to the Britilh army, who died much regretted at Oofterhout in the year 1747, and from whom Linnaeus received lingular and very important civilities j Kramer, fince well known for an excellent treatife on the docimaftic art ; Van Royen, botanic profeffor at Leyden j Lieberkun of Berlin, iamous for his Ikill in microlcopical inllruments and experiments, ffio thefe may be added alfo the names of Albinus and Gaubius, and of others, were it re- quifite to Ihow that our author’s talents had very early lender him confpicuous, and gained him the regard of all thofe who cultivated and patronifed any branch of medical fcience; and to which, doubtlefs, the An¬ gular notice with which Boerhaave honoured him did i-iot a little contribute. Early in the year I73^> after Linnaeus had left Mr Clifford, and, as it Ihould feem, when he refided with Van Royen, he had a long and dangerous fit of ficknefs j and upon his recovery went to Paris, where 34 I LIN he was properly entertained by the Juffieus, at that Lmnams. time the firft botanifts in France. The opportunity —v-—» . tiffs gave him of infpedling the Herbaria of Royen and Tournefort, and thofe of the above-named gentle¬ men, afforded him great fatisfafllon. He had in¬ tended to have gone from thence into Germany, to vifit Ludwig and the celebrated Haller, with whom he was in clofe correfpond^ence; but he w as not able to complete this part of his intended route, and was obliged to return without this gratification. Our author did not fail to avail himfelf of every advantage that accd's to the feveral mufeums of this country afforded him, in every branch cf natural hi- ftory •, and the number and importance of his publi¬ cations, during his abfence from his native country, fufficiently demonfirate that fund of knowledge which he muff have imbibed before, and no lefs tdlify his extraordinary application. Thefe were Svjlema Na¬ ture?, Fundamenta Botanica, Bibliotheca Botanica, and Genera Plantarum ; the daft of which is juftly confi- dered as the moft valuable of all the works of this ce¬ lebrated author. What immenfe application had been befiowed upon it, the reader may eafily conceive, on being informed, that before the publication of the firft edition the author had examined the charadlers of 8cco flowers, ffihe laft book of Linnaeus’s compofi- tion, publiihed during his flay in Holland, w-as the Clajfes Plantarum, which 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, cur author fettled as a phyfician at Stockholm j where 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 pra&ice 5 and loon 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- radler and fame, by giving him an opportunity of dif- playing his abilities, was the eftablifhment of the Royal Academy of Sciences at Stockholm •, of which Linnams was conftituted the firft prefident, and to which eftabliftiment the king granted leveral privileges, particularly that of free poftage to all papers direfted to the fecretary. By the rules of the academy, the prefident held his place but three months. At the ex¬ piration of that term, Linnatus made his Oratio de sne- morabilibus in InfeElis, 061. 3. 1739 ; in which he en¬ deavours to excite an attention and inquiry into the knowledge of infe6ts, by difplaying the many Angular phenomena that occur in contemplating the nature of thofe animals’, and by pointing out, in a variety of ia- ftances, their ufefulnefs to mankind in particular, and to the economy of nature in general. During all this time, however, Linnaeus appears to have had his eye upon the botanic and medical chair at Upfid, at this time occupied by Rudbeck, who was far advanced in life. We learn indeed that he was fo intent on purfuing and perfedling his great de- figns in the advancement of his favourite ftudy of na-. ture, that he had determujed, if he failed in procuring the LIN [ 35 ] Linnxus. the profefforftiip at Upfal, to accept the offer that and of varieties v-—1 had been made to him by Haller of filling the botanic chair at Gottingen. However, in courfe of time, he obtained his wifti. In the year 1741, upon the re- fignation of Roberg, he was conftituted joint profef- for of phyfic, and phyfician to the king, with Rofen, who had been appointed in the preceding year on the death of Rudbeck. Thefe two colleagues agreed to divide the medical departments between them ; and their choice was confirmed by the univerfity. Rofen took anatomy, phyfiology, pathology, and the the¬ rapeutic part j Linnaeus^ natural hiftory, botany, ma¬ teria medica, the dietetic part, and the diagnofis mor- borum. During the interval of his removal from Stock¬ holm to Upfal in confequence of this appointment, our profeffor was deputed by the Hates of the king¬ dom to make a tour to the iflands of Oeland and Goth¬ land in the Baltic, attended by fix of the pupils, com- mifiioned to make fuch inquiries as might tend to improve agriculture and arts in the kingdom, to which the Swediih nation had for feme time paid a particular attention. The refult of this journey was very fuccefsful, and proved fully fatisfactory to the Hates, and was afterwards communicated to the pub¬ lic. On his return he entered upon the profeffor- fhip, and pronounced before the univerfity his oration de Feregrinationum intra Patriam necejfilate, October 17. 1741 ; in which he forcibly dilplays the ufefulnefs of fuch excurfions, by pointing out to the fludents that vafi field of obje&s which their country held out to their cultivation, whether in geography, phyfics, mi¬ neralogy, botany, zoology, or economics, and by ihow- ing the benefit that mull accrue to themfelves and their country as rewards to their diligence. That animated fpirit which runs through the whole of this compofition, renders it one of the moH pleafing and infirudlive of all our author’s produ£Hcns. Linnaeus was now fixed in the fituation that wTas the befi adapted to his chara&er, his tafte, and abili¬ ties ; and which feems to have been the objeft of his ambition and centre of his hopes. Soon after his efia- bliOrment, he laboured to get the academical garden, which had been founded in 1657, put on a better foot¬ ing and very foon effefted it; procuring alfo a houfe to be built for the refidence of the profeffor. The whole had been in ruins ever fince the fire in 1702; and at the time Linnaeus was appointed profeffor of botany, the garden did not contain above fifty plants that were exotic. His correfpondence with the firfl botanifis in Europe foon fupplied him with great variety. He received Indian plants from Jufiieu of Paris, and from Van Royen of Leyden ; European plants from Haller and Ludwig; American plants from the late Mr Col- linfon, Mr Catefby, and others j and variety of annuals from Dillenius: in fiiort, how much the garden owed to his diligence and care in a few years, may be feen by the catalogue publilhed under the title of Hortus Upfa- /ienjis, exhibens Plantas exoticas horto Upfahenjis slca- demice a ffe (Linrueo) illalas ah anno 1742, in annum 1748, additts differ cut us fynonymis, habit aiiombus, hof- pitus, rariorunique defcripiionibus, in gratiam Jludiofce juventutis ; Holm. 1748, 8vo. pp. 306. tab. 3. By this catalogue it appears, that the profeffor had intro¬ duced 1100 fpecies, exclufively of all the Swedifh plants L I N which latter, in ordinary gardens, a- mount not unfrequently to one-third of the whole num¬ ber. The preface contains a curious hiflory of the cli¬ mate at Upfal, and the progrefs of the feafons through¬ out the whole year. From the time that Linnaeus and Rofen were ap¬ pointed profeffors at Upfal, it Hiould feem that the credit of that univerfity, as a fchool of phyfic, had been increafing : numbers of Hudents reforted thither from Germany, attrafted by the character of thefe two able men 5 and in Sweden itfelf many young men were invited to the fludy of phyfic by the excellent manner in which it was taught, who otherwife would have en¬ gaged in different purfuits. WhilH Linnaeus was meditating one of his capital performances, which had long been expedled and great¬ ly wiffied for, he was interrupted by a tedious and painful fit of the gout, which left him in a very w'eak and difpirited Hate j and, according to the intelligence that his friends gave of him, nothing was thought to have contributed more to the refloration of his fpirits than the feafonable acquifition, at this juncture, of a colleflion of rare and undefcribed plants. The fame which our author had noxv acquired by his Hysterna Natune, of which a fixth edition, much en¬ larged, had been publifhed at Stockholm in 1748 in 8vo, pp. 232, with eight tables explanatory of the claffes and orders (and which was alfo republifhed by Gronovius at Leyden), had brought, as it were, a conflux of every thing rare and valuable in every branch of nature, from all parts of the globe, into Sweden. The king and queen of Sweden had their feparatc col- leftions of rarities j the former at Ulrickfdahl •, the latter, very rich in exotic infefts and fliells, procured at a great expence, at the palace of Drottningholm : both of which our author was employed in arranging and defcribing. Befides thefe, the mufeum of the Royal Academy of Upfal had been augmented by a confiderable donation from the king, whilff hereditary prince, in 17465 by another from Count Gyllenborg the year before 5 by a third from M. Grill, an opulent citizen of Stockholm. From this time sve fee the profeffor in a more elevated rank and fituation in life. His reputation had already procured him honours from almoH all the royal focieties in Europe 5 and his own fovereign, truly fenfible of his merit, and greatly effeeming his charadler and abilities, favoured him with a mark, of his diffin£lion and regard, by creating him a knight of the Polar Star. It was no longer haudatur et a/get. His emoluments kept pace with his fame and honours : his pradlice in his profeflion became lucra¬ tive 5 and we find him foon after poffeffed of his coun¬ try houfe and gardens at Hammarby, about five miles from Upfal. He had moreover received one of the moff flattering teffimonies of the extent and magnitude of his fame that perhaps was ever fhown to any lite¬ rary charafter, the Hate of the nation which conferred it, with all its circumflances, duly confidered. This was an invitation to Madrid from the king of Spain, there to prefide as a naturaliH, with the offer of an an¬ nual penfion for life of 2000 piffoles, letters or nobi¬ lity, and the perfeft free exercife of his own religion : But, after the moff perfetff acknowledgements of the Angular honour done him, he returned for anfwer, E 2 ‘ that Linnajus Linnaeus. 4 LIN [ th-:t If he had any merits, they were due to his own country.’ In the year 1755, the Royal Academy of Sciences at Stockholm honoured our profelfor with one of the firft premiums, agreeably to the will of Count Sparree, 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 Ihould be adjudged moll 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, Superjles m ficientus amor Frederici Sparree. Linnaeus obtained it in confequence of a paper De P/antis qius Alpium Suecicarum indigence, magno rei ceconoinicce et medicce emolumento fieripojfint ; and the ultimate intention w’as to recommend thefe plants as adapted to culture in Lapland. This paper was inferted in the Stockholm A£ls for 1754, vol. xv. Linnaeus alfo obtained the preemiutn centum aureorum, propofed by the Imperial Academy of Sciences at Pe- terfburgh, for the bell paper written to ellablilh or dif- prove, by new arguments, the dodlrine of the fexes of plants. It was, il polfible, an additional glory to Lin¬ naeus to have merited this premium from the Peterf- burgh academy ; inafmuch as a profellbr of that fo- ciety, a few years before, had with more than common zeal, although with a futility like that of the other antagonills of cur author, endeavoured to overturn the whole Linnaean fyfiem of botany, by attempting to Ihow that the dodlrine of the fexes of plants had no foundation in nature, and wras unfupported by fadls and experiments. It appears that Linnaeus upon the whole, enjoyed a good conllitution j but that he w>as fometimes fe- verely afflidled with a hemicrania, and was not exempt¬ ed from the gout. About the clofe of 1776, he was fieized with an apoplexy, which left him paralytic 5 and at the beginning of the year 1777, he fuffered another llroke, which very much impaired his mental powers. Put 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 7 ill year of his age, —His principal other works, befide thofe already men¬ tioned, are, The Iter Qelandicum et Gotlandicum, Iter Scanicum, Flora Suecica, Fauna Suecica, Materia Me¬ dico, Philofioplua Botamca, Genera Morborum, different papers in the Ada Upfialienfia, and the Amanitates Aca- demicce. The lall of this great man’s treatifes was the MantiJJa Altera, publilhed in 1771 ; but before his death he had finilhed the greatelt part of the Mandfia Tertia, afterwards completed and publilhed by his fon. To the lovers of fcience it will not appear llrange, nor will it be unpleafant to hear, that uncommon re- fpe£l was Ihorvn to the memory of this great man. We are told, “ that on his death a general mourning took place at Upfal, and that his funeral procelfion was at¬ tended by the whole univerfity, as well profeffors as liudents, and the pall fupported by fixteen dodlors of phyfic, all of whom had been his pupils.” The king of Sweden, after the death of Linnaeus, ordered a me¬ dal to be ffruck, of which one fide exhibits Linnaeus’s bull and name, and the other Cybele, in a dejedled at¬ titude, holding in her left hand a key, and furrounded 36 ] LIN with animals and growing plants j with this legend, Linnaeus- Beam Indus angit amifii; and beneath, Pofi Obitum Up- ' v~— fallen, die x.^an. M.DCC.LXXVUI. Rege jubente.—The fame generous monarch not only honoured the Royal Academy of Sciences with his prefence when Linnteus’s commemoration was held at Stockholm, but, as a Hill higher tribute, in his fpeech from the throne to the af- fembly of the Hates, he lamented Sweden’s lofs by his death. Nor was Linnaeus honoured only in his own country. The late wrorthy profeffor of botany at Edinburgh, Dr Hope, not only pronounced an eulo- gium in honour of him before his lludents at the open¬ ing of his ledlures in the fpring 1778, but alfo laid the foundation Hone of a monument (which he after- ivards eredled) to his memory, in the botanic garden there ; 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 railing an emulation favourable to that fcience which this illulirious Swede fo highly dignified and improved. As to the private and perfonal charadler of this il¬ lulirious philofopher : His llature w?as diminutive and puny 5 his head large, and its hinder part very high j his look was ardent, piercing, and apt to daunt the be¬ holder ; his ear not fenfible to mufic j his temper quick, but eafily appealed. Nature had, in an eminent manner, been liberal in tbe endowments of his mind. He feems to have been poffefled of a lively imagination, corredled however by a llrong judgement, and guided by the laws of fyltem. Add to thefe, the moll retentive memory, an unremit¬ ting indullry, and the greatell perfeverance in all his purfuits } as is evident from that continued vigour with which he profecuted the defign, that he appears to have formed lo early in life, of totally reforming and fa¬ bricating anew the whole fcience of natural hiilory j and this fabric he raifed, and gave to it a degree of perfection unknown before j and had moreover uie un¬ common felicity of living to fee his own llruClure rife above all others, notwithllanding every difeourage- ment its author at firlt laboured under, and the oppoli- tion 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 fyllem ; and no man appears to have been more fenfible ol the partial defedls of his own. Thofe anomalies which had principally been the objedls of criticifm, he well knew every artificial arrangement mull abound with j and having laid it down as a firm maxim, that every fyllem muff finally reft on its intrinfic merit, he willingly commits his owm to the judgement of pofte- rity. Perhaps there is no circumftance of Linnmus’s life which fhows him in a more dignified light than his conduCl towards his opponents. Difavowing controver- fy, and juftly confidering it as an unimportant and fruitlefs facrifice of time, he never replied to any, nu¬ merous as they wTere at one feafon. To all who fee the aid this extraordinary man has brought to natural fcience, his talents mull appear in a very illuftrious point of view 5 but more efpecially to thofe who, from fimilarity of taftes, are qualified to’ fee more diftinclly the vaft extent of his original defign, the greatnefs of his labour, and the elaborate execution he has given to the whole. He had a happy com¬ mand LIN [ 37 ] LIN Lmnjeus mand of the Latin tongue, which is alone the language II of fcience ; and no man ever applied it more fuccefsful- Linfeed. purpofes, or gave to del'cription fuch copiouf- nefs, united with that precifion and concifenefs which fo eminently chara&erize his writings. The ardour of Linneeus’s inclinations to the fludy of nature, from his earlieft years, and that uncommon ap¬ plication which he beftowed upon it, gave him a moft 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 regre-t, that the fludy of natural hiflory, as a public institution, had not made its wray into the univerfities ; in many of which, logical deputations 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, the relation this ftudy hath to the public good •, to incite the great to countenance and protect it 5 to encourage and allure youth into its purfuits, by opening its manifold fources of plea- lure to their view, and fhowing them horv greatly this agreeable employment rvould add, in a variety of in- ttances, both to their comfort and emolument. His extenfive view7 of natural hiltory, as connected with al- moft all the arts of life, did not allow7 him to confine thefe motives and incitements to thofe only who were defigned for the practice of phyfic. He alfo laboured to infpire the great and opulent wdth a tafte for this ftudy ; and wfifhed particularly that fuch as w7ere de¬ voted to an ecclefiaftic life Ihould fhare a portion of na¬ tural fcience ; not only as a means of fvveetening their rural fituation, confined, as many are, perpetually to a country refidence, but as w7hat would almoft inevitably lead, in a variety of inftances, to difcoveries which on¬ ly fuch fituations 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 enlargement of this kind of knowdedge among people of equal rank in a country fituation, muft prove one of the ilrongeft bonds of union and friendihip, and contribute, in a much higher degree than the ufual perifhing amufements of the age, to the pleafures and advantage of fociety. Linnams lived to enjoy the fruit of his own labour in an uncommon degree. Natural hiitory raifed it- felf in Sweden, under his culture to a flate of per* fedlion unknown elfewhere ; and was from thence dif- feminated through all Europe. His pupils difperfed themfelves all over the globe j and, with their mafter’s fame, extended both fcience and their ow7n. More than this he lived to fee the fovereigns of Europe eilablifh feveral public inflitutions in favour of this ftudy; and even profefforfhips eftablifhed in divers univerfities for the lame purpofe, w'hich 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 entitled to hold among the purfuits of mankind. LINNET. See Fringilla, Ornithology In¬ dex. LINSEED, the feed of the plant linum.—Linfeed fleeped and bruifed in water gives it very foon a thick Lint mucilaginous nature, and communicates much of its 1^ emollient virtue to it. See Linum. v ‘ ' LINT. See Flax ; Linen j and Linum, Botany Index. Lint, in Surgery, is the fcrapings of fine linen, ufed by furgeons in dreffing wmunds. It is made into various forms, which acquire different names accord¬ ing to the difference of the figures.—Lint made up in an oval or orbicular form is called a pledgit; if in a cylindrical form, or in ftiape of a date, or olive-ftone, it is called a dqffil. Thefe different forms of lint are required for many purpofes; as, r. To flop blood in frefti wrnunds, by filling them up with dry lint before the application of a bandage : though, if fcraped 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 firil dipped in fome flyptic liquor, as alcohol, or oil of turpentine ; or fprinkled w7ith fome ftyptic powTder. 2. To agglutinate or heal wmunds \ to which end lint is very ferviceable, if fpread with fome digeftive ointment, balfam, or vulnerary liquor. 3. In drying up wmunds and ulcers, and for¬ warding the formation of a cicatrix. 4. In keeping the lips of wmunds at a proper difiance, that they may not hattily unite before the bottom is well di- gefted and healed. 5. They are highly neceflary to preferve wounds from the injuries of the air.—Bur¬ geons of former ages formed compreffes of fponge, wmol, feathers, or cotton ; linen being fcarce : but lint is far preferable to all thefe, and is at prefent uni- verfally ufed. LINTERNUM, or Literum, in Ancient Geogra¬ phy, a city of Campania, fituated at the mouth of the Clanius, which is alfo called Liturnus, between Cumae and Vulturnum. It received a Roman colony at the fame time with Puteoli and Vulturnum •, was improved and enlarged by Auguftus •, afterwards forfeited its right of colonyfiiip, and became a prefedture. Hither Scipio Africanus the Elder retired from the mean envy of his ungrateful countrymen ; and here he died, and was buried t though this laft is uncertain, he having a monument both here and at Rome. No vefiige of the place now remains. LINT STOCK, in military affairs, a wooden ftaff about three feet long, having a (harp point in one end and a fort of fork or crotch on the other; the latter of which ferves to contain a lighted match, find by the former the lintftock is occafionally ftuck in the ground, or in the deck of a (hip during an engage¬ ment. ft 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 Aufiria, with two fortified cafiles ; the one upon a hill, the other below it. Here is a hall in which the fiates affemble, a bridge over the Danube, a manufadlure of gunpowder, and feveral other articles. It was taken by the French in 1741, but the Auftrians retook it in the following year. E. Long. 14. 33. N. Lat. 48. 16. Lintz, a town of Germany, in the circle of the Lower Rhine, and deflorate of Cologne, fubjefl to that. L I O [ 38 ] LIP Lirrum tliat ele&or. It Is feated on the river Rhine, in E. Liotard Long- 7* * • N. Lat. 50. 3 I. . LINUM, FLAX ; a genus or plants belonging to the pentandria clafs ; and in the natural method rank¬ ing under the 14th order, Gruina/es. See Botany Index. LINUS, in claflical hiftory, a native of Colchis, cotemporary with Orpheus, and one of the moil an¬ cient poets .and muficians of Greece. It is impoflible, at this didance of time, to difcover whether Linus was the difciple of Orpheus, or Orpheus of Linus. The majority, however, feem to decide this queftion in favour of Linus. According to Archbiihop Uiher, he dourifhed 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 fird among the Greeks who in¬ vented verfes and mufic, as Cadmus fird taught them the ufe of letters. The fame writer likewife attributes to him an account of the exploits of the fird Bac¬ chus, and a treatife upon Greek mythology, written in Peiafgian charadlers, which were alfo thofe ufed by Orpheus, and by Pronapides the preceptor of Homer. Diodorus fays that he added the firing lichanos to the Mercurian lyre; and afcribes to him the invention of rhime and melody ; which Suidas, who regards him as the mod ancient of lyric poets, confirms. Mr Marpurg tells us, that Linas invented cat-gut drings for the ufe of the lyre, wrhich, before his time, was only drung with thongs of leather, or with different threads of flax drung together. He is faid by many writers to have had feveral difciples of great renown ; among whom were Hercules, Thamyris, and, accord¬ ing to fame, Orpheus.—Hercules, fays Diodorus, in learning from Linus to play upon the lyre, being ex¬ tremely dull and obflinate, provoked his mailer to flrike him ; which fo enraged the young hero, that, inftantly feizing the lyre of the mufician, he beat out his brains with his own indrument. LION, in Zoo/ogrj. See Felis, Mammalia Index. LIONCELLES, in Heraldry, a term ufed for feve¬ ral lions borne in the fame coat of arms. LIOTARD, called the Turk, an eminent painter, was born at Geneva in 1702, and by his father wras defigned for a merchant ; but, by the perfuafion of his friends, wdio 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 wras 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 Conflantinople. There he became ac¬ quainted with the late Lord Edgecumbc, and Sir Eve- rard hawkener, our ambaflador, who perfuaded him to come to England, where he flaid two years. In his journey to the Levant he had adopted the eaflern habit, and wore it here with a very long beard. It contributed much to the portraits ot himfelf, and fome thought to draw cuflomers •, but he was really a paint¬ er of uncommon merit. After his return to the conti¬ nent, he married a young wife, and facrificed his beard to Hymen. He came again to England in 1772, and brought a colleflion of pidlures of different makers, 3 which he fold by auclion, and fotne pieces of glafs Lip painted by himfelf, writh furprifing effecl of light and .11 lhade, but a mere curiofity, as it was neceifary to. Ll^anf darken the room before they could be feen to advan¬ tage j he affixed, too, as u'ual, extravagant prices to them. He flaid here about two years, as in his former journey. He has engraved fome Turkifh portraits, one of the emprefs queen and the eldefl archduchefs in Turkifh habits, and the heads of the emperor and emprefs. He painted admirably well in miniature j and finely in enamel, though he feldom praflifed it. But he is beft known by his works in crayons. His likenclfes were as exadl as poffible, and too like to pleafe thofe who fat to him ; thus he had great bufi- nefs the firfl 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 fmallpox, 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 wras there any eafe in his outline j but the fliffnefs of a buft in all his por¬ traits. Walpole. LIP, in Anatomy. See there, N° 102. HjRF.-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, in Ancient Geography, the principal of the iflands called JEolia, fituated between Sicily and Italy, with a cognominal town, fo powerful as to have a fleet, and the other iflands in fubjeftion 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 abdtat the time of Hannibal’s death. The name is Punic, ac¬ cording to Bochart : and given it, becaufe, being a volcano, it flione 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 Ulrica. Thefe are called, in general, the Lipari Ijlands. Some of thefe are adlive 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 ffrong town, and capital of an ifland of the fame name in the Medi¬ terranean, wuth a bifhop’s fee. It was ruined by Barbarofia in 1544, who carried aw'ay all the in¬ habitants into flavery, and demolifhed the place 4 but it was rebuilt by Charles V. E. Long. 15. 30. N. Lat. 38- 35- Lipari, properly, is the general name of a duller 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 moil populous of them, that above mentioned, communicates its name to the reft. Volcano is a defert but habitable ifland, ly¬ ing fouth from the large ifland of Lipari. Salines, which lies weft-north-weft from the fame ifland ; Fe- licudi, nearly in the fame diredlion, but 20 miles farther diftant ; and Alicudi, IO miles fouth-weft of Felicudi ; are inhabited. Pannari is eaft of Lipari, the famous Stromboh north-eaft, and both of them are inhabited. The LIP [ 39 ] LIP Llpari. The reft are In a defert ftate ; fuch as which ~”~v—■,""1 was formerly inhabited j Attalo, which might be inha¬ bited •, and DExambianca, on which fome remains of ancient dwellings are ftill to be found. L'Efcanera is nothing but a bare rock. The Fermico/i, a word fignifying arts, are a chain of fimill black cliffs which run to the north-eaft of Lipari, till within a little way of Exambianca and Ef- canera, riling more or lefs above the water, according as the fea is more or lefs agitated. Ancient authors are not agreed with refpeift to the number of the Lipari illands. 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. Volcanello and Volcano were once feparated by a ftrait fo as to form two iflands. The lava and alhes have filled up the intervening ftrait; and they are now united into one illand, and have by this change become much more habitable. The cafile of Lip&ri Hands upon 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 refide. The cathedral Hands in the fame fituation. Here the ancients, in con¬ formity to their ufual pratftice, had built the temple of a tutelary god. This citadel commands the whole city ; and it is acceffible only at one place. Were an holtile force to make a defeent on the illand, the inha¬ bitants might retreat hither, and be fecure againft all but the attacks of famine. The 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 Hones are exceedingly large, and very well cut. The layers are three feet high, which lhowrs them to have been raifed in fome very remote period. Thefe remains are fur- rounded wdth 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 thefe 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 lay, no cloifters in which women are 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- lence of their confeffors. They put on the facred ha¬ bit, and vow perpetual virginity, but continue to live with their father and mother, and mix in fociety like other women. The vow and the habit even enlarge their liberty. This cuftom wall, no doubt, M. Houel obferves, appear very ftrange to a French woman ; but this w7as the wTay in which the virgins of the primitive church lived. The idea of (hutting 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 clothes 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, wdiich 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 illand oxen of a remarkably beautiful fpecies are employed in ploughing the ground. The ancient plough is ftill in uie here. The mode of agriculture praftifed here is very expeditious. One man traces a furrowq 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 1'own at once. Na¬ ture feems to be here uncommonly vigorous and fertile. Vegetation is here more luxuriant, and animals gayer and more healthful, than almoft anywhere elfe. Near the city of Lipari, the traveller enters deep narrow roads, of g very lingular appearance. The whole ifland is nothing but an affemblage of moun¬ tains, all of them conlifting of alhes or lava difeharged from the depths of the volcano by which it wTas at firft produced. The particles of this puzzolana, or allies, are not very hard ; the adlion of the rain w’ater has accordingly cut out trenches among the moun¬ tains ; and thefe trenches being perhaps lefs uneven than the reft of the furface, have of ccnfequence been ufed as roads by the inhabitants, and have been ren¬ dered 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 w'ould think that you were walking through narrow ftreets with¬ out doors or windows. Their depth and windings Ihelter the traveller from the fun while he is palTing through them ; and he finds them delicioully cool. 'I he firft volcanic eruption in the Lipan iilands mentioned in hiftory, is that of w hich Callias takes no¬ tice in his hiftory of the w'ars in Sicily. Callias was contemporary with Agathocles. That eruption con¬ tinued without interval for feveral days and nights ; and threw' out great ftones, wEich fell at more than - a mile’s diftance. The fea boiled all around the illand. I he works of Callias are loft, and we know not whe¬ ther he defeended to a detail of particulars concerning the ravages produced by this eruptioa. Under the confullhip of ^Emilius Lepidus and L. Aurelius O- reftes, I 26 years before the Chriftian era, thefe illands were aftefted with a dreadful earthquake. The burn¬ ing of iEtna was the firft caufe of that. Around Lipari and the adjacent illands, the air was all on fire. Ve¬ getation was withered ; animals died; and fufible bo¬ dies, fuch as w'ax and refin, became liquid. If the inha¬ bitants of Lipari, from whom cur author received thefe fafts, and the waiters who have handed down an ac¬ count of them, have not exaggerated the truth, we muft believe that the fea then boiled around the ifland 5 the earth became fo hot as to burn the cables by which veffels were fixed to the Ihore, and confumed the planks, the oars, and even the fmall boats. Pliny, the naturalift *, fpeaks of another fimilar * Lib. ij, event which happened 30 or 40 years afterwards, in cap. ig6.. the LIP [ 4° ] lijj'an. tlie time of the war of the allied flates of Italy againft built Rome. One of the iEolian iflands, fays he, was all on fire as well as the fea j and that prodigy continued to appear, till the fenate appealed, 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 iEolian ifles were agi¬ tated by dreadful fhocks of earthquakes: the volcano of thefe illes poured forth ftreams of lava with an aw¬ ful 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 Hones difcharged from the crater filled up the llrait 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 im¬ ploring in vain all the faints, vowed to drink no more wine if the volcano flioud fpare them. Their giving up this fmall gratification was doubtlefs of great fervice 5 yet the eruptions Hill continue, and have even become more frequent fince that time. Only 36 years intervened between this eruption and that wdiich happened in the year 1775. The whole ifland was then lhaken ; fubterraneous thunder was heard ; and confiderable ftreams of flame, with fmoke, ftones, and vitreous lava, iflued from the crater. Li¬ pari was covered over with alhes; and part of thefe was conveyed by the wfinds all the way into Sicily. Five years after, however, in the month of April 1780, there iflued a new explofion from Volcano j the fmoke was thick, the Ihocks conftant, and the fubterraneous noife very frequent. So great wTas the confternation among the inhabitants of Lipari on this occafion, that the commander Deodati Dolomieu, who vifited thefe illands not long after that event, informs us, that the inhabitants in general, but elpecially the wmmen, de¬ voted themfelves as Haves to the fervice of the blefled virgin ; and wore on their arms, as tokens of their fer- vitude, fmall iron chains, which they ftill continue to wear. 1 his a£l: of piety, however, was not fo efficacious as the deputrytion of the fenate had been. For after that deputation, more than 200 years paflfed before the yEolian iiles were affliiled by any other eruption, at leaft by any confiderable one : Whereas, in three years after the ladies devoted themfelves in fo fubmiffive a manner to the fervice of the virgin, the ifles of Li¬ pari were agitated anew' by that fatal earthquake which ravaged Calabria, and part of Sicilly, on the 5th of February 1783. The dry baths of St Calogero, in the ifland of Li¬ pari, are ftoves, where fulphureous exhalations, known to be of a falutary nature, afcend out of the earth by holes or fpiracles. A range of apartments are L 1 p 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- miniflies in the fame manner as you proceed from the middle to the other end of the range of chambers. In confequence of this difpofition of thefe apartments, the fick perfon can make choice of that temperature which beft fuits the nature of his difeafe. There are a few miferable huts and a fmall chapel for the accommo¬ dation of the people who repair to thefe baths. The people of the place are ready to attend them. Phyfi- cians likewife follow their patients thither, when the difeafe is of fuch a nature as to render their attendance requifite, and the patient rich enough to afford them handfome fees : but there is no phyfician fettled in the place. Befides thefe dry baths, there are baths of hot w-ater diftinguifhed by the name of St Calogero's baths. There are around them buildings fufficient to lodge a confiderable number of fick people with their neceffary attendants. At prefent, however, thofe buildings are but in a bad Condition. The baths confift of two halls*, one fquare, the other round. The former is antique ; it has been built by the Romans j it is arched with a cupola, and 12 feet in diameter j it has been repairer^: The other is like¬ wife arched with a cupola both within and without. The water comes very hot into the firft. It gufhes up from among pieces of lava, which compofe a part of the mountain at the foot of which thefe baths are built. Thofe ftones remain in their natural ftate. All that has been done is the railing of a fquare building enclofing them. Within that building the fick per- fons either fit down on the ftones, or immerfe 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 diftance from the fpring, according as their phyfician direfts. The place ferves alfo as a ftove. The hot vapours arifing 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 which is more mode¬ rate. The bath before mentioned, under the appella¬ tion of dry bath, is alfo a ftove *, but the hot vapour with which it is filled iflues diredtly from the vol¬ cano. The place of the bath is, however, at fuch a diftance 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 petrified afhes, which are very hard and of a very fine grain. This petrification confifts of pretty regular ftrata, and appears to have been greatly prior in its origin to the adjacent rocks; which confift like¬ wife of aibes, but affies 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 LIP [ 41 1 LIP Lipari. fprings which fupply fo confiderable a quantity of wa- v ter# r0 account foi* 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 ditlance, we find a fpring of cold water rifing from the fummit of the fame rock, which 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 maffes 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 cryftallized fcoriae, as well as the fmall white grains which are commonly found in lava. Among the eminences which overlook the city of Lipari, there are fome rocks of a fpecies which is very rare in Europe. Thefe are large mafles 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 (landing detached and in- fulated. Were they cut and followed under ground, they ivould 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 manufactures. It is ready made, and might be eafily purified. It is green, compact, and tranf- parent. The cultivation of the ground is the chief employ¬ ment of the inhabitants of Lipari. The poffeflion of a fewr acres of land here gives a man great importance. Parents, wdien they fettle their children, rather give them money than any part of their lands. More than two-thirds of the ifland is planted with vines: three-fourths of the grapes which thefe produce are dried, and fent moftly to London under the name of paflbla. There are different forts of paffola : one of thefe, called the black pajfolina, is prepared from a particular kind of grape, of which the berries are un¬ commonly fmall ; and fold to Marfeilles, Holland, and Triefte. The vines are in fmall arbours, wThich rife only to the height of twro feet and a half above the ground. Under thofe arbours there grow beans, gourds, and other leguminous vegetables. In fb hot a climate, the ftiade of the vines does not injure ' but proteft the vegetables growing under it : they would otherwife be withered by the heat of the fun. The method of preparing paffola and paffolina is curious enough : They firft make a lixivium of com¬ mon aftres ; after boiling this, they pafs it through a cloth or a fieve*, they then put it again on the fire*, and when it is obferved to boil hard, fuddenly immerfe the grapes, but inftantly bring them out again, and ex* pofe them to the fun to dry on broad frames of cane. When fufliciently dry, the raifins are put into calks and barrels to be fold and exported. The number of cafks of different forts of mfins annually exported from Lipari are ellimated at ic,oco. Vot. XII. Part I. This iiland likewife produces figs. There is fbmetdpotliymia white malmfey and a little red wine exported from it. .11 . 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 infedls the air fo as to iniure the fertility of the vines. The fame prejudice prevails in Sicily, but it feems to be ill founded. There are courts of juftice in Lipari of the fame powders and charadler 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 beftowmd on its bilhop all his rights of royalty over Lipari. The bifhop there re¬ ceived annually from the inhabitants a tenth part of the produtts of their lands. They afterwards, to pre¬ vent fraud, eftimated the value of that tithe for one year 5 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 Ro- falia, Jefus difputing with the jewiih debtors, the adul¬ terous woman, the incredulity of St Thomas. LIPOTHYMIA, FAINTING, may arife from feve¬ ral caufes 5 as too violent exercife, fuppreflion of the v menfes or other accuitomed evacuations, &c. See Me¬ dicine Index. LIPPA, a town of Hungary, with a caftle. It was taken by the Turks in 1 5^2; by the Imperialifts in 1688 j and by the Turks again in 1691 *, who aban¬ doned it in 1675 ; after having demolhhed the fortifi¬ cations. It is feated on a mountain, in E. Long. 21. 55. N. Lat. 36. 3. _ LIPPE, the capital of a county of the fame name in Germany, and the circle of Weftphalia. It is feat¬ ed on a river of the fame name, and was former'y the refidence of the principal branch of the houfe of Lippe. It is now* in the poffeffion of the king of Prulfia, and carries on a good trade in preparing timber for build¬ ing veffels on the Rhine, with which it has a commu¬ nication by the river Lippe. The country round it is unwholefome and marfliy. E. Long. 8. 12. N. Lat. 51* 43* LIPPI, Lorenzo, a painter ofhiftoryand portraits, was born in 1606, and learned the principles of paint¬ ing from Matteo Rofelli. He had an exquifite genius for mufic and poetry, as wrell as for painting, and in the latter his proficiency was lo 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 mailer, he chofe the manner of Santi di Titi, who was excellent both in defign and invention, and appeared to have more of fimple nature and truth in his compofitions than any other artift of that time. At Florence Lippi painted many grand defigns for the chapels and convents, by which he en¬ larged his reputation *, and at the court of Infpruck, he painted a great number of portraits of the firft no- F bility, LIP [ 42 ] ' LIS Xipllus bility, wbicb were defervedly admired. Yet, although j J he was fond of imitating fimple nature without any em- __ bellithments from invention, his wmrks are held in the higheft efteem for the graceful airs of the heads, for the correflnefs of his outline, and for the elegant dif- pohtion of the figures. He died in 1664. LIPSIUS, Justus, a learned critic, was born at Ifch, a fmall village near Bruffels, in 1547. After having diftinguilhed himfelf in polite literature, he be¬ came fecretary to Cardinal de Granvellan at Rome, where the bell 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 publilhed what he efieeins his bell works; but fettled at Louvain, where he taught polite literature with great reputation. He was remarkable for unlleadinefs in religion, fiu£luating often between the Protellants and Papifis; but he became finally a bigotted catholic. He died at Louvain in 1606; and his works are collefted in fix volumes folio. LIQUEFACTION, an operation by which a folid body is reduced into a liquid by the action of heat. See Fluidity, Chemistry Index. LIQUID, a body which has the property of fluidi¬ ty, as water, mercury, &c. See Fluid. Liquid, among grammarians, is a name applied to certain confonants oppofed to mutes. Thus 1, m, n, and r, are liquids. LIQUIDAMBAR, sweet-gum-tree, a genus of plants, belonging to the monoecia clafs; and in the na¬ tural method ranking with thofe of which the order is doubtful. See Botany Index. LIQUOR, a name for any fluid fubflance of the aqueous or fpirituous kind. The principal beverage amongll the Jews, as well as the Greeks and Romans, in their early flate, was wTa- 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 faerifices to the gods the libations were made with milk only. Wine did not become common there till A. U. C. 600, when vines began to be planted. Liquor of Flints. See Chemistry, N° 1450. Smoking Liquor of Libavius. See Chemistry, N° 1809. Mineral Mnodyne Liquor of Hoffman. This is a compofition of highly reflified fpirit of wine, vitriolic ether, and a little of the dulcified oil of vitriol. See Chemistry, N° 849. LIQUORICE. See Glycyrrhiza, Botany and Materia Medica Lndex. LIRIODENDRON, the tulip tree, a genus of plants belonging to the polyandria clafs, and in the na¬ tural method ranking under the 5 2d order, Coadunatce. See Botany Index. LIS or Lys, John Vander, painter of hiftory, landicapes, 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 dillinguifhed 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 Fetti, fo effe&ually, that he improved his tafte and judgement, and altered tls, his manner entirely. He foon received marks of public LUtxm. approbation ; and his compofitions became univerfally v admired for their good expreflion, for their lively and natural colouring, and the fweetnefs and delicacy of his pencil : although it mull be acknowledged, that he could never totally divert himfelf of the ideas and tafte peculiar to the Flemings. His fubjecrts ufually were hiftories taken from the facred writings, or the repre- fentations of rural fports, marriages, balls, and villagers dancing, dreffed in Venetian habits ; all which lubje£ls 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 pidrture of this mailer is, Adam and Eve lamenting the death of Abel; which is extremely ad¬ mired, not only for the expreflion, 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 Jerome in the defert, with a pen in his hand, and his head turned to look at an angel, who is fuppoled to be founding the laft trumpet. The colouring of this picture is rather too red ; but it is defigned in a fine ftyle, and charmingly penciled. The paintings of this mafter are very rarely to be purchafed. He died in 1629. Ims, John Vander, of Breda, hiftorical painter, was born at Breda about the year 1601, and became a dif¬ ciple of Cornelius Polemburg, whofe manner he imitated with extraordinary exafhrefs, in the tint of his colouring, his neatnefs of penci’fng, and the choice of his fubjefts. There are fome paintings of this mailer’s hand, which, though 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 pofieflion 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 pofleflion of the vifcount Middleton. The portrait of Vander Lis, painted by himfelf, is in the pofleflion of Horace Walpole, Efq. which is defcribed by that ingenious gentleman, as be¬ ing worked up equal to the fmoothnefs of enamel. LISBON, the capital of the kingdom of Portugal, fituated in the province of Eilremadura, on the banks of the river Tagus, in W. Long. 9. 25. N. Lat. 38. 25. It was anciently called Olifpo, Olijipfio^ and Ulyffpo, which are fuppofed to be derived from the Phenician Ulifubbo or Ohjippo, fignifying in that tongue a pleafant bay, fuch as that on which this city Hands. It firli be¬ came confiderable in the reign of King Emmanuel; from that time it has been the capital of the kingdom, the refidence of its monarchs, the feat of the chief tribu¬ nals, and offices of the metropolitans, a noble univerfity, and the receptacle of the richeft merchandife of the Eaft and Weft Indies. Its air is excellent; being re- freffied 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 Hands on feven hills : but the ftreets in gene¬ ral are narrow and dirty, and fome of them are very fteep: neither are they lighted at night. The churches, in general, are very fine ; but the magnificence of the chapel .LIS [ 43 ] LIS chapel royal is amazing. Here is one of the finefi: harbours in the world ; and there were a great number not only of fine churches and convents here, but alfo of other public buildings, and particularly of royal pa¬ laces, and others belonging to the grandees j but the greateft part of them, and of the city, were dellroyed by a moft dreadful earthquake, on Nov. I. 1755. from which it will require a long time to recover. The inhabitants, before the earthquake, did not at moll exceed 150,000. The government of it is lodged in a council, confiding of a prefident, fix counfellors, and other inferior officers. The harbour has water enough for the larged diips, 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 contrafted, there is a fort called Torre de Belem, or the Tower oj Belem, under whofe guns all drips mud pafs in their way to the city ; and on the other fide are feveral more forts. Before the earth¬ quake, mod of the private houfes were old and un¬ lightly, with lattice windows j and the number of con¬ vents and colleges amounted to 50, namely, 32 for monks, and 18 for nuns. The king’s principal palace dands on the river, and is large and commodious. Of the hofpitals, that called the Great is obliged to re¬ ceive all perfons, of w’hat degree, nation, or religion foever, without exception. At the village of Belem, near Lilbon, 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 highell hills, is the cadle, wffiich com¬ mands the whole, being large and ancient, and having always a garrifon of four regiments of foot. The cathedral is a vad edifice of the Gothic kind, but heavy and clumfy : it contains, however, great riches j and is finely adorned within. The fquare called RoJJio is large, and furrounded writh magnificent buildings. The whole city is under the ecclefiadical jurifdidlion of the patriarch, who was appointed in the year 17x7. Here is alfo an archbidiop, who has, or at lead had, before the ereftion of the patriarchate, a revenue of 40,000 crufadoes, or 6oocl. The univerfity, which wras removed for fome time to Coimbra, but afterwards redored to its ancient feat, makes a confiderable figure, though much inferior to that of Coimbra. LISBURN, a town of Ireland, in tha county of Antrim and province of Ulder, 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 manufasflory. 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 formerly return¬ ed two members to parliament. LISIEUX, a confiderable town of France, in Up¬ per Normandy, with a bidiop’s fee. The churches and religious houfes, and the biffiop’s palace, are all very handfome druftures. It is a trading place ; and is feat¬ ed at the confluence of the rivers Arbeck 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 flrong caltle, and a citadel built by Vauban, and faid to be the fined in Europe, as well as the bed; fortified, tfile. The larged fquare, and the public buildings, are very * handfome ; and they have manufactures of filks, cam¬ brics, and camblets, as well as other duffs,’ wdnch have been brought to great perfection. It w’as taken by the duke of Marlborough, after three months fiege and the lofs of many thoufands of men, in 1708, but reflored to the French by the treaty of Utrecht, in confideration of their demoliffiing the fortifications, of Dunkirk. It was befieged by the Audrians in 1792, who on the 29th of September began a heavy cannon¬ ading ugainfl it, which continued inceffant till the 6th of OClobtr, when they w-ere obliged to raife the fiege, after having thrown into the city about 30,000 red-hot balls, befides 6 00 bombs. It is feated on the river Duele, 14 miles wed of Tournay, 32 fouth-w^ed of Ghent, 37 north-wed of Mons, and 130 north of Paris. E. Long. 3. 9. N. Lat. 50. 83. Lisle, Jofeph Nicholas de, an eminent adrono- mer and geographer, was born at Paris in the year 1668. His father having taught him the principles of grammar, he afterwards attended leClures in the Maza¬ rine college, where he delivered his rhetorical exercifes in 1706. A total eclipfe of the fun having taken place on the 1 2th of March that year, his tafie for mathematics was thus difeovered, and he wras accord- ingly placed under a proper tutor, who taught him the elements of geometry, fortification and mechanics j but his favourite dudy was the fcience of adronomy. In 1707 he was offered the place of an engineer at Martinico, which made him acquainted with the art of drawing, an acquifition which proved highly ufeful to him in his geographical labours, and alfo in the dudy^ of adronomy. His father having got a copy of An Account of a Voyage to the South fea from his foil’s mafler, young de Lille was excited by the perufal of it to the dudy of natural hiflory, and he began to make colle&ions of infe&s, and Iketch their varieties j but being afterwards perfuaded that fo extenfive a dudy, requiring fuch immenfe colle£lions to be made as he found in Aldrovandus, was wholly incompatible with that unremitting attention which his favourite fcience required, he relinquiffied it accordingly. The atten¬ tion he paid to aflronomical refearches was fo great, that he was confidered as meriting the correfpondence of fome of the ablefl adronomers of Europe at the early age of 21. In 1709 he made a wooden quadrant, which he divided with the utmod accuracy, and which anfwered the intended purpofe in his early obfervations. He likewife condrufted a table for M. Caffini, of the right afeenfions and declinations, adapted to all the de¬ grees of latitude and longitude of the planets, and the obliquity of the ecliptic ; this table was made ufe of by M. Caffini in foretelling the occultations of the dars by the moon. De Lille being informed by Caffini in 1710 of .his method of reprefenting an eclipfe of the fun, by the projection of a terredrial parallel on a plane $ he in- dantly conceived the idea of applying it to every part of the earth, by means of a globe mounted and pre¬ pared for that purpofe- Such adronomers as he made acquainted with his projeCl, conceived it to be imprac¬ ticable •, but when the machine was completed, they bedowed the highefi encomiums on the noble invention. The fird memorable obfervation made by de Lifle was F 2 that LIS [ 44 ] LIS til at of the moon, on the 23d of January I 7 1 2, after '”~v~ which his labours experienced fome interruption from bodily indifpoiition. About this time the fit nation of his father’s numerous family rendered it neceffary that he fiiould provide for himfelf, fo that he was obliged to make his aftronomical knowledge fubfervient to the ab- furdities of afirology, receiving pecuniary prefents from the regent for his fervices. He received alfo in 1715 the grant of a penfion of 600 livres, on which occafion he calculated tables of the m@on according to the Newto¬ nian theory, prior to Halley’s communications to him, which were printed in 1719. De Lille was chofen a member of the Academy of Sciences in 1714, on which account his exertions were redoubled. ' In 1 7 20 he delivered a propofal to the academy for afcertaining in France the figure of the earth, a defign which was carried into execution fome years afterwards. In 1723 he delivered to the fame academy a memoir on the tranfits of Mercury, wherein a method of calcu¬ lating them was propofed by fciim, the way in which they were to be obferved, and the inferences to be de¬ duced from thefe obfervations. Fie propofed the ufe of the quadrant in obferving the tranfits of Venus and Mercury, which has been found fuperior to any other inftrument for that important purpofe, and is fanc- tioned fince his day by the prafiice of the ableft aftro- nomers. Our dilfinguilhed philofopher came over to England in the year 1724, where he became acquainted with Newton and Halley, and had the honour of obtaining their approbation. Newton made him a prefcnt of his own portrait, and Halley gave him a copy of the tables which he had publilhed in 1719. He was alfo created a member of the Royal Society, and he enjoyed fimilar honours from every literary fociety in Europe before his death. In 1721 he received an invitation from Peter the Great to go to Peterfhurgh, to fill the chair of aftronomer in the Imperial Academy of Sciences. On the death of that emperor, his fucceffor Catharine renewed the invitation, offering him a confiderable pen¬ fion, of which he accepted, and, in 1726, fet out for Peterfburgh, accompanied by his brother Lewis and M. Vignon, who were to aft as his affiflants. He reached Peterfburgh in the month of Oftober, and was efta- blilhed in the obfervatory erefted by Peter the Great, which he occupied for 21 years. It was in every refpeft commodious, but extremely deficient in aftrono- mical apparatus, which his own ingenuity and indefati¬ gable application in a great meafure fupplied. A tranfit of Mercury over the fun’s difc was expeft- ed in the year 1740, which would not be vifible in Europe, and therefore de Lifle undertook a journey to the diftant regions of Afia; but after travelling through the inhofpitable wilds of Siberia, the cloudinefs of the atmofphere prevented him from obferving the tranfit,— a mortification which he endeavoured to fupport by his geographical and phyfical remarks, and in drawing up a defcription of the country. He conftrufted an in- terefting map of Ruffia, affifted by his brother Lewis, who was appointed to make obfervations in the moft dillant parts of that immenfe empire. He was occafion- ally employed for the long period of forty years, in making meteorological obfervations, which he executed with an accuracy almoft incredible. 4fter a number of difcouragements and difficulties, and the irregular payment of his penfion, had been long Lifle. experienced by dc Lifie at Peterfburgh, he returned difgufted to his native place, and was chofen profeffor of mathematics at the college-royal, where lie did the molt effential fervice to the fciences, by the important inflruftions which he gave to his numerous pupils, many of whom became afterwards the molt diilinguuh- ed charafters, fuch as M. M. de la Laude and Mef- fier. When the tranfit of Mercury over the fun was ea¬ gerly expefted in 1753 by the greateft aftronomers, de Lifle publifhed an intereffing map of the world, repre- fenting the effeft of Mercury’s parallaxes in different countries, that fuch places might be known as were proper for making thole obfervations on the tranfit as might determine the diflance of the fun. As the ap¬ parent orbit of the planet traverfed nearly the centre of the fun, de Lifle made ufe of this circumftance to de¬ termine the diameter of that luminary. The lait work of our author which was inferted in the volumes of the Lrench academy, was a memoir on the comet which appeared in the year 1758, difeovered by a peafant in the vicinity of Drefden. It may perhaps be afferted with juflice, that the moft important fervice which this great man rendered to af¬ tronomers was, his correftion of the double error of Halley refpefting the tranfit of Venus, looked for in the year 1761, as by this means he prevented many learned men from undertaking long voyages in order to obferve it. About the year 1754, de Lille was ap¬ pointed by the king of France, aftronomical geogra¬ pher to the marine, in which capacity he wTas to colleft plans and journals of naval captains, to arrange them methodically, and to make extrafts from them of what¬ ever might be beneficial to the fervice. About the year 1758 he withdrew into quiet retirement at the ab¬ bey of St Genevieve, where much of his time was fpent in devotional exercifes, and in afts of charity and bene¬ ficence. Still, however, he continued to profecute thofe ftudies which had been fo dear to him during the earlier part of his life; but in 1768 he wTas feized with a fcorbutic complaint, of which he was cured by his me¬ dical friends ; but in the month of September the fame year he was feized with a fpecies of apoplexy, which carried him off on the nth day of that month, in the 81ft year of his age. His extraordinary merit as a man of fcience may in in fome meafure be gathered from this concife account of his life; and as a citizen of the world his piety was unaffefted, his morals pure, his integrity undeviatisg, his fpirit generous and difinterefted, and his whole manners highly amiable. The only publication of our author’s, befides thofe already mentioned, confifted of “ Memoirs illuftrative of the Hiftory of Aftronomy,” in two volumes 4to. 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. He 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 fhirt, that his perlon might be more confpicuous. The king, who w^as an eye-witnefs of his bravery, knighted him on the field of battle. In 1648, he rofe for his majefty in Effex; and was one of the royalifts. who LIS [ 45 ] LIS Xifmore. who fo obftinately defended Colchefter, and who died v ' for the defence of it. This brave^ man having ten¬ derly embraced the corpfe of Sir Charles Lucas, his departed friend, immediately presented himfelf to the foldiers who flood ready for his execution. Thinking that they flood at too great a diftance, he deliied chena to come nearer : one of them faid, “ I warrant you, Sir, we (hall hit you.” He replied with a Anile, “ Friends, I have been nearer you when you have milled me.” He was executed Auguft 28. 1648. LISMORE, one of the Weftern iflands of Scot¬ land, feated at the mouth of Loch Linnne, an arm of the fea in Argylelhire, navigable for the largeft (hips to Fort William, which is in the country called Locha- ber. This ifland is 10 miles in length by one in breadth j and contains above icoo inhabitants. It abounds in limeftone, wdiich forms a fine loamy and very fertile foil, yielding rich crops of barley. I his Aland was for¬ merly the relidence of the bilhop of Argyle, from which he was frequently named Epifcopus Lifmorenjis, Great part of the cathedral yet remains, and part of it is ftill employed as the parith church. 1 he bAhop’s caftle (lands four miles from the cathedral; the walls are yet pretty entire. There are fome veftiges of for¬ tified camps, and an old caftle with a ditch and draw¬ bridge, which, it is faid, were erected by the Danes. Lismore, a borough town of Ireland, in the county of Waterford, and province of Munfter, 100 miles from Dublin ; N. Lit. 52. 5. W. Long. j. 50. It was anciently called Lejfmore or Lios-more, i. e. the great enclofure, or habitation ; it is now a bilhopric, 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 (hort time wras much reforted to, not only by the natives, but alfo by the Rritons and Saxons, during the middle ages. According to an ancient writer of the life of St Carthagh, Lifmore was in general inhabited by monks, half of it being an afylum into which no wo¬ man dared enter $ confifting entirely of cells and mo- nafteries, the ruins of which, with feven churches, are yet vifible. A caftle was built here by King John. The file of Lifmore was in early ages denominated magh /ha, or the “ chofen fhield,” being the fituation of a dun or fort of the ancient chieftans of the Decies, one of whom granted it to St Carthagh on his expul- fion from the ahbey of Ratheny in Weftmeath. On becoming an univerfity, Math Sgiath obtained the name of Dunfginne, or the “ fort of the Salons,” from the number of Saxons who reforted thereto : but foon after, it was called Lios-more or Lefs-more, and now Lifmore; the biftiopric 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 place with fome of his religious in 636, to avoid the fury of the then Iriflr monarch, tied his dilciples to a moft ftridl rule of life ; they never were allowed the ufe of flefti, fi(h, or fowl •, only the vegetables that the ground produced at the expence of their own la¬ bour. Father Daniel, in his Hijioire Monajlique, men¬ tions one on the fame foundation in France, The caftle here, which, as we have formerly mentioned, u7as built by King John, was erefted in 1195 on the ruins of the abbey of St Carthagh : it belonged to the duke Lifmore of Devonihire, and gave birth to the great philofopher ^ | Robert Boyle. In 1189 it was demoliftied by the 1 .1 IrAh, who took it by furprife. Being afterwards re- edified, it was for many years an epifcopal refidence, till Myler Magrath, archbhhop of Caftiel, and bfthop of this fee, granted the manor of Lifmore to that not¬ ed fcholar and foldier Sir Walter Raleigh, in the reign of Queen Elizabeth, at the yearly rent of 13I. 6s. 8d. *, but that eftate was lopped oft' with his head in the reign of King James I. After which it fell into the hands of Sir Richard Boyle, who purchafed all Sir Walter’s lands j he beautified the whole, and added many buildings to it, moft of which w7ere burned down in the IrAh rebellion ; at the breaking out of wdiich, it was clofely befieged by 5000 Irifti commanded by Sir Richard Beling, and was well defended by the young Lord Broghill, third fon of the earl of Cork, who obliged them to raife the fiege. The caftle is bold¬ ly feated on the verge of a rocky hill, rifing almoft per¬ pendicularly to a confiderable height over the river Blackwater. The entrance is by an ancient and ve¬ nerable avenue of trees. Over the gate are the vener¬ able arms of the firft earl of Cork. Oppofite to the en¬ trance is a modern portico of Bath done, of the Doric order, defigned by Inigo Jones. Moft of the buildings have remained in ruins fince the era of the rebellion ; but the feveral offices that make up twTo fides of the fquare are kept in repair. At each angle is a tower, the chief remains of its former magnificence. In O6I0- ber 1783, the late duke of Rutland, then lord lieuten¬ ant of Ireland, whilll on a tour in Munfter, held a council in, and iflued proclamations from this caftle. The cathedral is ftill pretty well kept in repair. Here is a fine bridge over the river Blackwater, eredled at a very great expence by the duke of Devonftiire : this bridge is remarkable for the extent of the principal arch, the fpan of it being 102 feet. Below the town is a rich fiftiery for falmon, which is the greateft branch of trade here. Though this place is at prefent much reduced, yet Cambrenfis informs us, that, not many years after the conqueft, this w7as a very rich city, and held out fome time againft the Englifti, who took it at laft by ftorm, and gained rich plunder here, enough to load 16 fail of (hips. LISSA, an Aland in the gulf of Venice, on the coafl of Dalmatia, belonging to the Venetians, where they have a fiftiery of fardines and anchovies. It produces excellent wine, and is 70 miles weft of Ragufa. E. Long. 17. o. N. Lat. 43. 22. Lissa, a town of Poland, in the palatinate of Pofna, of which it is the capital. E. Long. 16. o. N. Lat. 32* I5* Lissa, a village of Shelia, 16 miles from Rreflau, re¬ markable for a battle fought between the Pruffians and the Auftrians on the 15th of December 1757, when the latter were entirely defeated. LISSUS, in Ancient Geography, the laft town of Illyricum, towards Macedonia, lituated on the Dtilo. It had a capacious port, the work of Dionyfius the Tyrant, who led the colony thither, enlarged and wall¬ ed it round, (Diodorus Siculus.) Now called AleJJio, in Albania, on the Drino, near the gulf of Venice. E. Long. 20. N. Lat. 42. LIST, in commerce, the border of cloth or fluffy fer.vinu Lift. Hlackjl. Comment. * See Re- 'Oenue. L I S • [. 46 ] LIT ferving not only to {how their quality, but to preferve them from being torn in the operations of fulling, dying, &r.— Lift is ufed on various occaftons; but chiefly by gardeners for fecuring their wall-trees. List, in ArchiteBure, a little fquare moulding, other- wife called zfillet, /iftel, &c. See Architecture. List, is alfo ufed, to lignify the enclofed field or ground wherein the ancient knights held their iufts and combats. It was fo called, as being hemmed round with pales, barriers, or ftakes, as with a lift. 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, Tournament, Duel, &c. Civil List, in the Britifh polity. The expences defrayed by the civil lift are thofe that in any ftiape re¬ late to civil government; as, the expences of the houfe- hold ; all falaries to^ofEcers of ftate, to the judges, and every one of the king’s fervants, the appointments to foreign ambaftadors ; the maintenance of the queen and royal family; the king’s private expences, or privy- purfe *, and other very numerous outgoings, as fecret- fervice money, penfions, 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 contrafled on the ci¬ vil lift j as particularly in 1724, when one million was granted for that purpofe by th« ftatute 11 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 king’s revenue in his own diftinft capacity •, the reft being rather the revenue of the public, or its creditors, though collefted and diftributed again in the name and by the officers of the crown : it now {landing in the fame place, as the hereditary income did formerly j and as that has gradually diminiftied, the parliamen¬ tary appointments have increafed. The whole revenue of Queen Elizabeth did not amount to more than 6oo,oool. a-year: that of King Charles I. was 8oo,ocol. and the revenue voted for King Charles II. was i,zoo,oool. though complaints were made (in the firft years at leaft) that it did not amount to fo much. But it mufi: be obferved, that under thefe fums were includ¬ ed all manner of public expences 5 among which Lord Clarendon, in his fpeech to the parliament, computed that the charge of the navy and land forces amounted annually to 8oo,oool. which was ten times more than before the former troubles. The fame revenue, fubjefl 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 1,500,000k per annum, (befides 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 1,100,000k 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 700,000k per annum ; and the fame was con¬ tinued to Queen Anne and King George I. That of King George II. wras nominally augmented to 800,cool*, and in fait was confiderably more : but that of his pre- fent majefty is exprefsly limited to that fum $ though 2 loo.ocoh hath been flnce 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. Tor the crown, becaufe it is more certain, and collected with greater eafe 5 for the people, becaufe they are now delivered from (the feudal hardftiips, and other odious branches of the prerogative. And though complaints have iome- times been made of the increafe of the civil lift, vet if wre confider the fums that have been formerly granted, the limited extent under which it is now eftabliihed, the revenues and prerogatives given up in lieu of it by the crown, the numerous branches of the prefent royal familyq 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 j and that it is impof- fible to fupport that dignity, which a king of Great Britain ftiould maintain, with an income in any degree lefs than what is now eftabliflied by parliament. See Revenue. Lift Litana Silva. To List or Enli/l Soldiers, to retain and enroll men as foldiers, either as volunteers, or by a kind of compulflon. Perfons lifted muft be carried within four days, but not fooner than 24 hours after, before the nextjuftice 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 diflent from fuch enlifting, and return the enlifting money, and alfo 2© {hillings in lieu of all charges expended on them, they are to be dif- charged. But perfons refuftng or negledling to return and pay fuch money wdthin 24 hours, {hall 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 oath, or, upon refufal, they {hall be confined by the officer who lifted them till they do take it. LISTER, Dr Martin, an eminent Englilh phyT- fician and naturalift, was born in 1638, and educated at Cambridge. He afterwards travelled into France 5 and at his return pra£tifed phyfic at York, and after¬ wards at London. In 1683 he was created doftor of phyfic, and became fellow of the College of Phyftcians in London. In 1698, he attended the earl of Port¬ land in his embafly from King William III. to the court of France; of which journey he publifhed an account at his return, and was afterwards phyfician to Queen Anne. He alfo publiftied, 1. Hi/loria animalium Aft- glia, qViarto. 2. Concbyliorum fynopfis, folio. 3. Cock¬ le arum et limachum exercitatio anatomica, 4 vols. 8vo. 4. Many pieces in the Philofophical Tranfaclions j and other w'orks. LlSTOWEL, a parifti, alfo a poll and fair town, of Ireland, in the county of Kerry and province of Munfter, 131 miles from Dublin, anciently Lis Tua- thal, i. e. “ the fort of Tuathal,” who w'as exiled in the ift century, but returned 5 and his life forms a brilliant era in Irifh hiftory. Near this are the ruins of a caftle, pleafantly fituatcd on the river Feale : it wras taken in November i6co, by Sir Charles Wilmot, be¬ ing then held out for Lord Kerry againft Queen Eliza¬ beth. Five miles beyond Liftowel are the ruins of a church. The fairs are three in the year. I.IT ANA Silva, in Ancient Geography, a wood of \ ^ LIT [ 47 1 LIT Lita.ny, t^c T^on, in G«iliia Togata, or Ciipadana, where Li: Sfeld. the Romans, under L. Pofthurnius Albinus (whofe ' v“ the Boii cut off, and carried in triumph into their mod: facred temple), had a great defeat ; of twenty- five thoufanl fcarcely ten efcaping (Livy). Hol- ffenius conjedures, that this happened above the fprings of the Scultenna, in a part of the Appen- nine, between Cerlinianum and Mutina. Now Selva di Lugo. LITANY, a folemn form of fupplication to God, in which tfe prieft utters fome things fit to be prayed for, and the people join in their interceflion, faying, we befeech thee to hear us, good Lord, &c. rl he word comes from the Greek “ fupphcation j” of \t}einvv, “ I befeech.” At firff the ufe of litanies was not fixed to any dat¬ ed 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 judgements ot fire, earthquakes, inun¬ dations, or hoftile invafions. About the year 400, li¬ tanies began to be ufed in proceffions, the people walking barefoot, and repeating them with great de¬ votion ; and it is pretended, that by this means feveral counti es were delivered from great calamities. I he days on which thefe were ufed were called rogation days: thefe were appointed by the canons of different councils, till it was decreed by the council of Toledo, that they Ihould be ufed every month throughout the year 5 and thus by degrees they came to be ufed week¬ ly on Wednefdays and Fridays, the ancient ftationary days for falling. To thefe days the rubric of our church has added Sundays, as being the greatel! days for affembling at divine fervice. Before the laff review of the common prayer, tha litany was a diftindt fervice by itfelf, and ufed fome 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 colledl: for grace, inftead of the interceffional prayers in the daily fervice. LITCHFIELD, a city of Staffordlhire, in Eng¬ land, 1 1 7 miles from London. It Hands low, about three miles from the Trent : and its ancient name is faid to have been Licidjicld, fignifying, “ a field of carcaffes,” from a great number of Chriftians having, as it is pretended, fuffered martyrdom here in the per- fccution under Dioclefian. In the Saxons time, it was a biffioprick for a ffiort fpace ; and is now, toge¬ ther with Coventry, a bilhoprick. It is divided into two parts by a rivulet and a kind of lhallowr lake, over which are two caufeways wuth lluices. It is a long ftraggling place •, but has feme very handlome 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 llrudiures. 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 fheriff, a fteward, and other officers. The city has power of life and death within their jurifdi&ion, 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 or 1 2 miles in compafs, which the fheriff rides yearly on the 8th of September, and then feafts the corporation and neighbouring gentry. The clofe is fo called from its being encloied with a wail and a deep dry ditch on all fides except towards the city, where it is defended by a gre?.t lake or marTh formed by its brook. The cathedral, which Hands in the clofe, w'as 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 deflroyed, and it converted to a liable. In 1776 a beautiful painted window, by the benefa&ion of Dr Adenbrook, has been fet up at the wellern end of the cathedral. In the civil wars it was feveral times taken and retaken, and thereby fuffered much 5 but was fo repaired after the reftoration, at the expence of 2o,oool. that it was one of the faireft and nobleft ftruefures 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 430 feet long, of which the choir is no, and the breadth in the broadeH place 80. Its portico is hard - ly to be paralleled in England. There were, till lately, 26 flataes of the prophet', apoffles, kings of Judah, 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 Hately fpire, befides a fine high ffeeple on the middle of the church. The choir is paved in great part with alabaffer and cannel coal, in imitation ot black and white marble. In 1789 it underwent a general repair, when the maffive groined arch betwixt tbe well end of the church and the tranfept, which had forced the fide wall out of its perpendicular, was removed. The prebendaries Halls, which are thought to be the beff in England, were moff of them re-ere61- ed at the charge of the country gentlemen, whofe names and arms are painted at the top of the Halls. The north door is extremely rich in fculpture, but much injured by time. The body which is fupported by pillars formed of numbers of llender columns, has lately had its decayed leaden roof replaced by a neat Hated 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 altarpiece of Grecian architefture but ill correfponds; behind which is Mary’s chapel, divided from it by a moft elegant Hone Ikreen of beautiful work- manfhip. Here Hood St Chad’s ffirine, wffiich coft 2000I. The charter houfe is an octagon room. In the fame clofe are the palaces of the biffiop and dean, and the prebendaries houfes in a court on the hill. Here are three other churches j one of which, St Mi¬ chael’s, has a churchyard of 6 or 7 acres. There was a caffle here, long fince deffroyed : and ancient camps have been difeovered 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 rivers Merfey, Dee, Kibble, 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, Lancaffer, Weffmoreland, Cheffer, War¬ wick, Litchfield. LIT [ 48 1 LIT Literary w;tk, Leiccfter, Oxford, Worcefter, 5cc. Litchfield Literature, t0 . ——y——> l^iiJLKAKY, any thing belonging to Litera¬ ture. Literary Property, or Copy Right. See Copy Right. LITERATI (letrados, “ lettered”), an epithet gi¬ ven to fiich 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 fe<51, either in religion, philofophy, or politics, confiding principally of the learned men of that country j among whom it is called i. e. “ learned.” It had its rife in the year of Chrift 1400, when the emperor, to awaken the native afie£lion of the people for knowledge, which had been quite baniflied by the preceding civil wars among them, and to, ftir up emu¬ lation among the mandarins, chofe out 42 of the ableft among their doftors, to whom he gave a commiffion to compofe a body of dodrine agreeable to that of the ancients, which was then become the rule or ftandard of the learned. The delegates applied themfelves to the bufinefs with very great attention : but fome fancied them rather to have wrefted the dodrine 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, per fed principle, _ without beginning or end j 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 Ihort, it is not eafy to determine, whether they refolve God into nature, or lift up nature into God j for they afcribe to it many of thofe things which we at¬ tribute to God. This dodrine, 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 w ith 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 fed 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 j but a great part of the common people ftill hold to their wrorfhip of idols. The literati freely tolerate the Mahometans, becaufe' they adore, with them, the King of heaven, and Au- t hor of nature ; but they bear a perfed averfion to all forts of idolaters among them : and it was once re- folved to extirpate them. But the diforder this w^ould have occafioned in the empire prevented it 5 they now7 content themfelves with condemning them, in general, as herefies; which they do folemnly every year at Pe¬ kin. LITERATURE denotes learning or fkill in let¬ ters. 3 LITERNUM. See Linternum. Litemtua Til IIANTHRAX, or Pir-Coal, is a black or |l brown, laminated, bituminous fubftance ; not very ea- ^kho- fxly inflammable, but, when once inflamed, burns long-, ma'ltia‘ , er and more intensely th^n any other fubflance. See v Mineralogy Index. LITHARGE, a preparation of lead, ufually in form of foft flakes, of a yellowilh reddilh colour. If calcined lead be urged with a hafty fire, it melts into the appearance of oil, and on cooling concretes into litharge.. Gieateft part of the litharge met with in the (hops is produced in the purification of filver from lead, and the refining of gold and filver by means of this metal : accor ding to the degree of fire and other circumftances, ; proves of a pale or deep colour : the firfl; has been commonly#called litharge of Jilver, the other litharge of gold. See Lead, Chemistry Index. LIT HGOW, William, a Scotfman, wdiofe luffer- ings by imprifonment and torture at Malaga, and whofe travels, on foot, over Europe, Alia, and Afri¬ ca, feem to raife him almofi. to the rank of a martyr and a hero, publilhed an account of his peregrinations and adventures. Though the author deals much in the marvellous, the horrid account of the ilrange 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 w’as 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 fkeleton. 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 Spanifh ambaffador, for the recovery of the money and other things of value which the governor of Malaga had taken from him, and for 1000I. for his fupport. He wras promifed a full reparation for the damage he bad 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 ambaffador, as the traveller oddly ex- prefles it, had his fiftula (with which diforder he was affli&ed) contrabanded with his fill. The unfortunate Lithgow, who was generally condemned for his fpi- rited behaviour, was fent to the Marftialfea, where he continued a prifoner nine months. At the conclufion of the oflavo 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 draw'eth near to twice the cir¬ cumference of the whole earth.” Here the marvellous feems to rife to the incredible j and to fet him, in point of veracity, below Coryat, whom it is neverthe- lefs certain that he far outwalked. His defcriptiop of Ireland is whimfical and curious. This, together with the narrative of his fufferings, is reprinted in Morgan’s Phoenix Britannicus. LITHIASIS, or Stone. See Medicine Index. LITKOMANTIA, in antiquity, a fpecies of di¬ vination performed with Hones. Sometimes the ftone called f derites was ufed : this they wTafhed in fpring- w?ater in the night by candle-light j the perfon that confulted LIT [ 49 ] ' LIT Lithontrip- confulted it was to be purified from all manner cf pol- tics luticn, and to have his face covered : this done, he , i 1! . repeated divine prayers, and placed certain characters jn an appointed order j and then the Hone 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 done of this nature, Helenus is reported to have foretold the dedruclion of Troy. LITHONTRIPTICS (from Xt6es “ a done,” and “ to break”) ; an epithet for medicines that are fuppofed to break the done in the bladder. Though the different dones that are generated in the human bladder require different folvents when out of the bo- dv ; and though art hath not yet afforded a medicine which, when injedted into the bladder, will, without injury thereto, diffolve the done therein lodged ; it cannot thence be concluded, that there are no lithon- triptic medicines. It may be here obferved, that one folvent affedls one fubjedl, but hath no effedl on ano¬ ther *, fo a folvent may yet be met with that will de- llroy the done, 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 cauiing any uneafinefs. Soap ley taken at fird in fmall dofes in broth that is freed from all its fat, fucceeds in mod cafes which require an alkaline folvent. The patient may begin with 20 drops, and gradually increafe the dofe as he is able j and by repeating it three times a-day for fix, eight, or twelve months, the widied-for effedls often follow. LITHOPHYTA, the name of Linnaeus’s third order of vermes. See Helmintholocy In^/ex. LITHOSPERMUM, CROMWELL, a genus of plants belonging to the pentandria clafs ; and in the natural method ranking under the 41ft order, Afpcrifolue. See Botany Index. L1TH0STR0T0N, among the Romans, was a pavement of mofaic work, confifiing of fmall pieces of cut marble of different kinds and colours, fird ufed in the time of Sylla, who made one at Praenede in the temple of Fortune, and afterwards in private houfes 5 and were brought to fuch perfection, that they exhibit¬ ed mod lively reprefentations of nature, with all the ac¬ curacy of the fined painting. LITHOTOMY, in Surgery, the operation of cut¬ ting for the done. See Surgery Index. LITHUANIA, an extenfive province of Poland. By the natives it is called Letwa, and has Great Po¬ land and Rudla on the wed ; part of Mufcovy on the ead ; Livonia, the Baltic iea, and part of Mufcovy, on the north ; Red Rudia, Volhinia, and Podolia, on the fouth; and the Ukraine on the fouth-ead. Its length is faid to be about 360, and its breadth 340 miles *, but it is much indented both ways. Lithuania was anciently overrun with wood 5 and there are dill many foreds in it, which yield a great deal of honey, wax, pitch, tar, and timber ; and abound with wild boars, buffaloes, elks, wild horfes, wild affes, uri, and woodcocks. 'The lakes are alfo numerous, and wTell dored with fifh : but the air, by reafon of thefe foreds and lakes, is faid to be thick and foggy. The country produces a great deal of buck wheat and other corn 5 the padures are luxuriant, and the docks and herds nu- mnerous : fo that, notwithdanding agriculture is much VOL. XII. Part I. neglected, but provifions are exceeding cheap, and money Ltmus, fo fcarce, that 10 per cent, is the common intered. The , principal nobility have large edates, and live in great pomp and fplendour, generally retaining fome hundreds of thofe that are poor, in quality of domeftics. The edablidied religion is Popery ; but Lutherans, Calvi- nids, 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, the dowager of Louis king of Poland and Hungary. It had even dukes after that, but they ivere fubordinate to the king •, and at this day, though one diet ferves for both countries, yet each has its peculiar lawrs, cudorcs, dialed!, and privileges. In a diet held at Lublin in 1569, it was more clofely united to Poland than it had been before j and it was enadled, that both countries, for the future, diould form but one date under the fame prince. As to their courts of juf- tice, the tenth part of what is adjudged in all roal ac¬ tions goes always to the judge’s box, and is immediate¬ ly paid in court j and in perfonal adlions he claims half the damages given. A nobleman is only fined for murder, as in Poland. The dialed! 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 called, and Lithuanian Rudxa. Some alfo comprehend under it Samogitia and Courland, which is a fief of 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 quicklime and putrified urine, or fpirit of urine ditli’- led from lime, to the archil previoufly bruifed by grind¬ ing. The mixture having cooled, and the fluid fuffer- ed to evaporate, becomes a mafs of the confidence 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 oi acid changes it inftantly from blue to red. The heft litmus is very apt to change and fly. LIFTER (lediica), a kind of vehicle borne upon fhafts ; anciently efteemed the rnoft eafy and genteel way of carriage. Du Cange derives the word from the barbarous Latin leBeria “ draw or bedding for beafts.” Others will rather have it come from leBus “ 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 Oaves kept for that purpofe ; as it ftill conti¬ nues to be in the eaft, where it is called a palanquin— The Roman leclica, made to be borne hy four men, was called tetraphorum ; that borne by fix hexaphorum ; and that borne by eight oSlaphorum. The invention of litters, according to Cicero, w'as owing to the kings of Bithynia : in the time of Tiberius they were become very frequent at Rome, as appears from Seneca j 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 draw put on the floor of a horfe’s Hall for him to lie down and reft upon. When a horfe comes tired into a liable, frefh G liuer Litt'Ietrn, Liturgy. LIT [5° litter has the virtue of making him ftale immediately. I This is known to be a very great advantage to a horfe ' in a tired fiate } and when the litter is old and dirty, it never has any fuch effect upon him. If the owners knew how refrefhing it is for a horfe to difeharge his urine on liis return from labour, they would be more care- f’ul of giving them all means and occafions of it than they are. This ftaling after fatigue prevents thofe ob- ftruflions in the neck of the bladder or urinary paf- lages which horfes are too fubjefl to. LITTLETON, Sir Thomas, judge of the com¬ mon pleas, wTas the eldeit Ion of Ihomas \\ etlcote, Efq. of the county of Devon, by Elizabeth, lole heirefs of Thomas ’Littleton of Frankley in Wor- cefterftiire, 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 ifeward or judge of the court of the palace, or mar- fhalfea of the king’s houfehold. In 1455, the thirty- third of that reign, he was appointed king’s ferjeant, and rode the northern circuit as judge of adize. In J462, the fecond of Edward IV, he obtained a par¬ don from the crown j and, in 1466, w’as appointed one of the judges of the common pleas, and rode the Northamptonfhire circuit. In the year 1474 w^s» with many of the firft nobility, created knight of tne Bath. He died in 1481 > and was buried in the ca¬ thedral church of Worcefter, where a marble tomb, with his ftatue upon it, was erefted to his memo¬ ry. As to his charafter as a lawyer, it is fufficient to inform the reader, that he was the author of the Treatife upon 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 Shropfhire, was born in 16 27, educated at Wellminfter fchool, and went to Oxford a fludent of Chrift-church, whence he was ejeaed by the parlia¬ ment vifitors in 1648. Soon after, he became ufher of Weftminfter fchool, and in 1658 was made fecond inafler of Weftminfter fchool. After the relloration he taught a fchool at Chelfea in Middlefex, of which church he was admitted reaor 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 iub-dean. Befide the well-known Latin and Englijl Diftionary, he publifhed feveral other works. He died in 1694, and was interred at Chelfea. He was an univerfal fcholar 5 and extremely charitable, humane, and eafy of accefs. LITURGY, denotes all the cerempnies in general belonging to divine fervice. The word comes from the Greek “ fervice, public miniftry}” formed of Tmros “ public,” and sgye» ** work.” In a more reftrained fignification, liturgy is ufed a- mong the Romanifts to fignify the mafs ; and among us the common prayer. All who have written on liturgies agree, that in the primitive days divine fervice was exceedingly fimple, only clogged with a very few ceremonies, and confift- 1kg of but a finall number of prayers ; but, by degrees, 1 L I T they increafed the number of external deremonies, and Liturgyr added new prayers, to make the office look more awful Lituu... and venerable to the people. At length things tvere carried to fuch a pitch, that a regulation became ne- ccffary ; 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 Baiil, the Armenian liturgy, the liturgy of the Maronites, of the 'Cophtae, the Roman liturgy, the Gallican liturgy, the Englifh liturgy, the Ambrofian liturgy, the Spanifh and African liturgies, &c. In the more early ages of the church, every biffiop had a power to form a liturgy for his own diocefe ; and if he kept to the analogy of faith and dosftrine, 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 Lindvvood acknow¬ ledges to be the common law of the church ; intimat¬ ing," that the ufe of feveral fervices in the fame pro¬ vince, which 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 eftabliffied in the fecond year of King Edward VI. flat. 2. and 3. Ed. VI. cap. I. In the fifth year of this king it was reviewed ; be- caufe fome things were contained in that, liturgy which (bowed a compliance with the fuperftition of thofe times, and fome exceptions were taken ag.ainft it by feme learned men at home, and by Calvin abroad. Some alterations were made in it, which confided in adding the general confeffion and abfolution, and the communion to begin with the ten commandments. 1 he ufe of oil in confirmation and extreme undlion was left out, and alfo prayers for fouls departed, and what tended to a belief of Chrift’s real prefence in the eu- charift. This liturgy, fo reformed, was eftabliiffied by the ad of 5 and 6 Ed. VI. cap. 1. However, it was abolifhed by (,)ueen Mary, who enaaed, that the ier- vice (hould (land as it was moft commonly ufed in the laft year of the reign of King Henry VIII. I he li¬ turgy of 5 and 6 Ed. VI. was re-eftabliffied with fome few alterations and additions, by I Eiiz. cap. 2. Some farther alterations wrere introduced, in confequence of the review of the common-prayer book, by order of King James, in the firft year of his reign j particular¬ ly in the office of private baptifm, in feveral rubricks and other paffages, with the addition of five or fix new prayers and thankfgivings, and all that pait of tne 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 m the year 1661, and the laft aA of uni¬ formity enjoining the obfervance of it is 13 and 14 Car. II. cap. 4. See CoMMOn-Prayer. Many appli¬ cations have been fince made for a review, but hither¬ to without fuccefs. LITUUS, among the Romans, was the ftaff made ufe of by the augurs in quartering the heavens. It bore a great refemblance to the crofter of a biftiop., .but was ffiorter. It was crooked at one end, and thickeft ia 1 L I V [ Si ] L I V Lituus In the curved part, according to A. Gellius. We fre- . II quently meet with a reprefentation of it upon medals, Liver‘ , amongft other pontifical inftruments. It was called Lituus Quirinalis, from Quirinus, a name of Romulus, who was Ikilled 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 facred itaff of the augurs $ and from the fimilitude it derived its nanfe. LIVADIA, anciently Achaia and Hellas, or Greece properly fo called ; a province of Turkey in Europe, bounded on the north by Epirus and Theffaly, from which it is feparated by Mount Oeta, now Banina, and by the Euripus, now the flrait of Negropont; on the eaft, by the Archipelago j on the fouth, by the gulf of Engia or Egina, the ifthmus of Corinth, and the gulf of Lepanto •, and on the weft, by the Ionian fea and part of Epirus. Its extent is about 130 miles from north-weft to fouth-eaft *, but its greateft breadth is not above 36 miles. It is in general a mountainous country j but neither unpleafant nor unfruitful. The principal mountains are, Mount Oeta in Boeotia, where is the famous pafs of Thermopylae, not above 25 feet broad ; and Parnaffus, Helicon, and Cythaeron in Pho- cis, which were facred to Apollo and the mufes, and confequently much celebrated by the poets. The ri¬ vers of moft note are, the Sionapro, anciently the Achelous, the Cephiffus, the Ifmenus, and the Afo- pus. The province is at prefent divided into Livadia proper, Stramulippa, and the duchy of Athens. The principal places are, Lepanto, anciently Naupa&us; Livadia, anciently Libadia or Lebadia j the celebrated city of Athens, now Setines ; Thebes, now Stibes ; Lepfina, anciently Eleufis j Caftri, formerly Delphi 5 and Megara. Livadia, an ancient town of Turkey 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, fee Anatomy, N° 96.—Plato, and others of the ancients, fix the principle of love in the liver ; whence the Latin proverb, Cogit amare jecur: and in this fenfe Horace frequently ufes the ivord, as when he fays, Si torrere jecur qucerus Idoneum. The Greeks, from its concave figure, called it >)7ras|, “ vaulted, fuf- pended the Latins call it jecur, q. d. juxta cor, as being “ near the heart.” The French call it foye, Storey foyer, focus, or “ fireplace 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 mafs of blood; and Hip¬ pocrates, by way of eminence, frequently calls it the hypochondrium. Liver of Antimony. See Chemistry Index. Liver of Arfenic, is a combination of white arfenic with potafti. See Arsenic, Chemistry Index. Liver of Sulphur. See Potash, Sulphuret of. Che¬ mistry Index. v LivER-Wort. See Marchantia and Lichen, ^Bo¬ tany Index LIVERPOOL, a large, flourilhing, and populous Liverpool, town of England, in the county of Lancafter, fituated —y——' 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 exceeded 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 Briftol, in the year 1784, taken from the report of the commiflioners for infpe&ing the ftate of public ac¬ counts. London, Liverpool, Briftol, L. 5,187,05 2 9 640,684 2 2§- 334»9°9 *9 3i Liverpool exceeded Briftol, L.305,774 2 11 The following {hows how much the trade has increafed fince the above period : Duties received in the port of Liverpool from July 5th 1785, to Odober 10th 1787, L.298,361 9 io^ The merchants here trade to all parts of the world ex¬ cept Turkey and the Eaft Indies; but the moft bene¬ ficial trade is to Guinea and the Weft Indies, by which many of them have acquired very large for¬ tunes. Liverpool, during the laft w'ar, carried on more fo¬ reign trade than any town in England $ and fuch is the ftate of it at this time, that there are near three thoufand veffels cleared from that port in one year to different parts of the world. Here are feveral manu- fadories for China-ware, and pot-houfes which make very fine ware, fome falt-works, glafs-houfes, and up¬ wards of 50 breweries, from fome of which large quan¬ tities of malt liquor are fent abroad. Many of the build¬ ings are formed in the moft elegant manner ; but the old ftreets are narrow 5 which defed will foon be re¬ moved, as the corporation have lately obtained an ad 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 ftreets 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 fixteen churches, namely, St Peter’s, St Nicholas’s, St George’s, St Thomas’s, St Paul’s,* St Ann’s, St John’s, Trinity, St James’s, St Catharine’s, St Mary’s, St Stephen’s, St Matthew’s, St Mark’s) Chrift Church, and All Saints. There are alfo meet¬ ings for independents, anabaptifts, quakers, methodifts, and prefbyterians. The exchange is a noble ftrudure, built of white ftone in the form of a fquare, and round it are piazzas where the merchants affemble to tranfad bufmefs. Above it are the mayor’s offices, the feffions hall, the council-chamber, and two elegant ball-rooms. The expence of ereding this building amounted to 30,000b The cuftom-houfe is fituated at the head of the old dock, and is a handfomp and convenient ftruc- ture. 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 univerfities. The infirmary is a large edifice of G 2 jarick L I y' [5 Ln erpool. brick and flone, 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 : likewife feveral alms-houfes for the widows of feamen j and an ex¬ cellent poor-houfe, fuperior to any in the kingdom, where upwards of 800 men, women, and children, are iupported, 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 or {hipping j 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 nis fh.ip at a very fmall expence. The newprilon late¬ ly finifhed is a noble edifice, being built entirely on the plan of the great and benevolent Mr Howard, for foli- tary confinement; and is perhaps the moft convenient, airy, magnificent building of the kind of Europe } be¬ ing upon a very extenfive fcale. Liverpool received its charter from King John •, but it vyas a borough by prefcription long before his reign. It 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 town-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¬ tion in Liverpool, may be conceived by perufing the following table: 1660 1680 1700 1720 1740 1760 1780 1787 Year. Chriftened. 3 106 132 410 484 986 1709 2267 Buried. 51 124 293 608 599 I544 Married. 5 35 58 i37 408 606 804 The whole population of Liverpool in the year 1793 was computed to amount to 56,782. By means of inland navigation, Liverpool has com¬ munication with the rivers Dee, Kibble, Oufe, Trent, Darwent, Severn, Humber, Thames, Avon, &c. which navigation, including its windings, extends above 500 xniles, in the counties of Lincoln, Nottingham, York, Weftmorerand, Chefter, Stafford, Warwick, Leicefter, Oxford, Worcefter, &c. The Merfey, upon which the town is fituated, abounds with falraon, cod, floun¬ ders, turbot, plaice, and fmelts 5 and at full fea it is aoove two miles over. In the neighbourhood are fre¬ quent horfe-races, on a five-mile courfe, the fineft for tne leng.tn in England. I he foil in and near the town is dry and fandy, and particularly favourable to me growth 01 potatoes, on which the farmers often depend more than on wheat or any other grain. Frefti water is brought into the town by pipes, from fome fprings four miles off, purfuant to an ad of parliament m the reign of Oueen Anne. The dock duties of 2 J L I V Liverpool in 1760 amounted to 2330b but in 1805 to Livery 33>364b an aftoniihing proof of the rapid increafe of its I] trade. The difpenfary of this town does honour to hu- _LlV!U5, man nature, and has been of the moft lingular advan- v tage to the affncled, fince 172,273 perfons were cured of every diforder incident to human nature, between the years 1778 ar|d 1794? being on an average about 10,000 perfbns every year. The Union News Room was inftituted on the iff of January 1801 j the Lyceum much about the .fame period, the ere&ion of which cofl: the fum of x 1,000b and the Commercial New’s Room in 1803. The inftitution for reftoring drowned per¬ fons is worthy of notice, as more than 400 people have become ohjeds of it fince it was founded, and more than one half of that number have been reftored. The Athenaeum, which comprifes a news room and library, was projected in 1798, and finilhed before the clofe of the year. I here are four weekly papers publiflied at Liverpool. From 1783 to 1793 inclufive the value of flaves imported into the Weft Indies in Liverpool vef- fels, amounted to 15,186,850b fterling ; and" the ad¬ vantages which it derives from its inland navigation are more than can be properly eftimated. Liverpool fends two members to parliament. LI v FRY, in matters of drefs and equipage, a certain colour and form of drefs, by which noblemen and gentlemen choofe to diftinguifh their fervaats. Liveries are ufually taken from fancy, or continued in families by fucceffion. T lie ancient cavaliers, at their.tournaments, diftinguifhed themfelves by wearing the liveries of their miftrefies: thus people of quality make their domeftics wear their livery. . Father Meneftrier, hi his Treatife of Caroufals, has given a. very ample account of the mixtures of colours in liveries. Dion tells us, that Oenomaus was the firit who invented green and blue colours, for the troops which, in the circus, were to reprefent land and fea fights. The Romifti church has alfo her feveral colours and liveries white, for confeffors and virgins, and in times of rejoicing 5 black, for the dead ; red, for the apoftles and. martyrs 5 blue or violet, for penitents 5 and green, in times of hope. Formerly, great men gave liveries to feveral, who were not of their family or fervants, to engage them in their quarrels for that year ; but this was prohibited by the ftatutes t Rich. II. 1 Hen. IV. cap. 27. 2 and 7 Hen. IV. 8 Hen. VI. cap. 4. 8 Ed. IV. cap. 2 j and no man, of whatever condition, wxis allowed to give any livery, but to his domeftic officers, and counfel learned in the law. However, moft of the above fia- tutes are repealed by 3 Car. I. cap. 4. Livery of Seiftn, in Law, fignifies delivering the poffeffion of lands, &c. to him who has a right to them. LIVERYMEN of London, are a number of rnen chofen from among the freemen of each company. Out of this body the common-council, fheriff, and other fuperior officers for the government of the citv, are elected 5 and they alone have the privilege of giving their votes for members of parliament, from which the- reft of the citizens are excluded. LIVIQS, I itus, the heft 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 beeiv banded L I V [ S3 1 L I V Livin':. Kanded down to us. Coming to Home, lie .acquired ^ the notice and favour of Auguftus, and there he long redded. Some have fuppoied, (for there is not any proof of it), that he was known to Auguftus before, by certain Philofophical Dialogues which he had de¬ dicated to him. Seneca fays nothing of the dedication : but mentions the dialogues, which he .calls hiftorical and philofophical j and aifo home books, written pur- pofely on the fubjeil of philofophy. Be this as it will, it is probable that he began his hi (lory as loon as he was fettled at Rome ; and he feems to have devoted himfelf fo entirely to the great work he had underta¬ ken, as to be perfedftly regardlefs of his own advance¬ ment. The tumults and diftraflions of Rome frequent¬ ly obliged him to retire to Naples ; not only that he might be lefs interrupted in the purfuit of his deftin- ed talk., but alfo enjoy that retirement and tranquillity which he could not have at Rome, and which yet he feems to have much fought after : for he was greatly diffatisfied with the manners of his age, and tells us, that “ he ftiould reap this reward of his labour, in compofmg the Roman hiftory, that it would take his attention from the prefent numerous evils, at leaft: while he was employed upon the firft and earlieft ages.” He ufed to read parts of this hiftory, while he was compofing it, to Meccenas and Auguftus •, and the lat¬ ter conceived fo high an opinion of him, that he pitch¬ ed upon him to fuperintend the education of his grand- fon Claudius, who was afterwards emperor. After the death of Auguftus, Livy returned to the place of his birth, where he was received with all imaginable honour and refpedl : and there he died, in the fourth year of the reign of Tiberius, aged above feventy. Some fay, he died on the fame day with Ovid : it is certain that he died the fame year. Scarce any man was evermore honoured, alive as well as dead, than this hiftorian. Pliny the younger relates, that a native gentleman travelled from Gades, in the extremeft parts of Spain, to fee Livy: and, though Rome abounded with more flupendous and cu¬ rious fpetftacles than any city in the world, yet he im¬ mediately returned ; as if, after having feen Livy, no¬ thing Lrther could be worthy of his notice. A mo¬ nument was erefted to this hiftorian in the temple of Juno, where was afterwards founded the monaftery of St Juftina. There, in 1413, was difeovered the fol¬ lowing epitaph upon Livy : OJJa Till Livii Patavim, omnium mortalium judicio chgtu, cujus prope inviBo ca- lamo invicii populi Romani res gejlce confcriberentur; that is, “ The bones of Titus Livius of Patavium, a man worthy to be approved by all mankind, by whofe almoft invincible pen the acls and exploits of the invincible Ro¬ mans were written.” Thefe bones are faid to be pre- ferved 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 deftre of the citizens of Padua the bone of that arm with which this their fa¬ mous countryman had written his hirtory ; 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, arid one of the ableft men of the 15th century, lold an eftate to pur* v chafe this hift0rian. The hiftory of Livy, like other greaif-works of an¬ tiquity, is tranfmitted down to us exceedingly mutilated and imperfect. Its books were originally a hundred ancl 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, which fome will have to have been done by Livy himfelf, be- caufe 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 firit decade, beginning with the foundation of Rome, is ex¬ tant, and treats of the affairs of 460 years. The fe- cond decade is loft •, the years of which are feventy- five. The third decade is extant, and contains the fe* cond Punic war, including eighteen years. It is re- koned the moft: excellent part of the hiftory, as giving an account of a very long and lharp 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 wTar againft Antiochus, which take up the fpace of about 23 years. The five firft: books of the fifth de¬ cade were found at Worms, by Simon Grynseus, in, 1431, but are .very defective ; and the remainder of Livy’s hiftory, which reaches to the death of Drufus in Germany in 746, together with the fecond decade, are . fupplied by Freinfhemius. Never man perhaps was furnifhed with greater ad¬ vantages for writing a hiftory than Livy. Befides his own great genius, which was in every refpedt 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 Sylla, Caffar, 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 finifh 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 objeft 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 thg 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 j that is, through the courfe of 120 or 130 years. Apffian, Dion Caffius, and others, nay, even Plutarch included, make us but poor amends for what is loft of Livy.” Speaking then of Tally’s orations and letters, as the I L I V [ 54 1 L I V Livius. bed adventitious helps to fupply this Tois, he fays, that the age in which Livy flounihed, abounded with fuch materials as thefe : they were frelh, 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 firid : and, I own, I (hould be glad to exchange, if it were poffible, what w?e 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 j the whole feries of caufes and effe&s, 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 inftrudts and interells in the deepeft manner. But his great probity, candour, and impartiality, are what have diftinguilh- ed Livy above all hiilorians } for neither complaifance to the times, nor his particular connexions with the emperor, could reilrain him from fpeaking w'ell of Pom- pey j lb well, as to make Auguftus call him a Pom¬ peian. This we learn from Cremutius Cordus, in i a- citus } who relates alfo, much to the emperor’s ho¬ nour, that this gave no interruption to their friend- Ihip. But whatever elegies Livy may have received as an hiitorian, he has not efcaped cenfure as a writer. In the age wherein he lived, Alinius Poliio charged him with Patavinity 5 which Fatavinity has been vari- oufly explained by various writers, but is generally fup- pofed to relate to his tfyle. The moll common is, that this noble Romdn, 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 opinion, and believes that this Patavinity regarded the orthography of certain words, vdierein Livy ufed one letter for another, according to the cuftom of his country, and quofe for Jibi and quaji; which he attempts to prove by feveral ancient inferip- tiems. The exprefliom, however, or the orthography of words, are not loaded with obfeurity, and the per- fe-il claffic is as familiarly acquainted with thofe fup- pofed provincialifms as with the pureft Latinity.—Livy has been cenfured too, and perhaps with juflice, for be¬ ing too credulous, and burdening bis hiftory with vul¬ gar 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 woman changed her fex ; yet he candidly confeffes that he recorded only what made an indelible impreuion upon the minds of a credulous age. Is it worth ■while to mention here the capricious and tyrannic humour of the emperor Caligula, who accufed Livy of being a negligent and wordy writer, and reiol- ved therefore to remove bis works and ftatues out of all libraries, where he knew they were curioufly preierved ? Or the fame humour in Domitian, another prodigy of nature, who put to death Metius Pompofianus, becaufe he made a colleftion of fome orations of kings and ge¬ nerals out of Livy’s hiftory ? Pope Gregory the Great, alfo, would not fufter Livy in any Chriftian library, he- caufe of the Pagan fuperftition wherewith he abounded : but the fame reafon held good again ft all ancient au¬ thors 5 and indeed Gregory’s zeal w^as far from being 3 levelled at Livy in particular, the pontiff having decla¬ red war againft all human learning. . ^ Though we know nothing of Livy’s family, yet we learn from Quintilian, that he had a fon, to whom he addrefled fome excellent precepts in rhetoric. An an¬ cient infeription fpeaks alfo of one of his daughters, named Livia ^uarta : 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 publiftred with and without the fupplement of Freimhemius. The heft editions are, that of Gronovius, cum notis vario- rum et fuis, Lugd. Bat. 1679, 3 vols ^vo ’ tliat of Clerc at Amfterdam, 1709, 10 vols i2tno; and that of Crevier, at Paris, 1735, 6 vols 4to. Thefe have the fupplements.—Learning perhaps never fuftained a greater lofs, in any (ingle author, than by the deftruc- tion of the latter and more interefting part of Livy. Several eminent moderns have indulged the pleafmg ex- pedlation that the entire work of this noble kiftorian might yet be recovered. It has been faid to exift in an Arabic verfton : and even a complete copy of the ori¬ ginal is fuppoled to have been extant as late as the year 1631, and to have periftied at that time in the plunder of Magdeburg. The munificent patron of learning, Leo X. exerted the moft generous zeal to refeue from oblivion the valuable treafure, which one of his moft bigotted predeceffors, above mentioned, had expelled from every Chriftian library. Bayle has preierved, un der the article Leo, two curious original letters of that pontiff, concerning hk hopes of recovering Livy; which afford moft honourable proofs of his liberality in the caufe of letters.—A lately difeovered fragment of Li¬ vy’s hiftory was publiflied in 1773 by Hr Bruns. Livius Andronicus, a comic poet who flouriftied at Rome about 240 years before the Chriftian era. He w as the firft who turned the perfonal fatires and fefeen- nine verfes, fo long the admiration of tne Romans, in¬ to the form of a proper dialogue and regular play. Though the charafter of a player, fo valued and ap¬ plauded in Greece, was reckoned vile and defpicable among the Romans, Andronicus afted 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 1M. Livius Salinator, whofe children he educated. His poetry was grown obfolete in the age of Cicero, whole nicety and judgement would not even recommend the reading of it. LIVONIA, a large province of the Ruffian empire, with the title of a duchy. It is bounded on the north by the gulf of Finland, on the weft by that of Riga, on the fouth by Cotfrland, and on the eaft, partly by Plef- cow, and partly by Novogorod. It is about 230 miles from north to foutb, and 150 from eaft to weft. The land is fo fertile in corn, that it is called the granary of the north : and would produce a great deal more, if it was not fo full of lakes. The fifh that abound here are falmons, carps, pikes, fiat filh, and many others. In the forefts there are wolves, bears, elks, rein-deer, flags, and hares. The domeftic animals are very numerous ; but the Iheep bear very bad wool. Here are a great number Livius, Livonia. J L O A [ 55 ] L O A Livonica- nuitiber of forefts, which conflrt of oircii tree?, pines, Terra and oaks $ and all the houfes of the inhabitants are built with wood. The merchandifes wdrich they fend Loach' , abroad are flax, hemp, honey, wax, leather fkins, and potaflies. The Swedes were formerly pofleffed of this province, but were obliged to abandon it to the Ruf¬ fians after the battle of Pultowa ; and it wTas ceded to them by the peace of the north, concluded in \"]2 2, which was confirmed by another treaty in I742- *s divided into two provinces, viz. Letonia and Eilonia } and two iflands called Oefel and Dagho, which are again fubdivided into feveral diflrifts, LIVONICA-terra, a kind of fine bole ufed in the {hops of Germany and Italy. It is found in Livonia, from whence it takes its name. It is in the form of little cakes. LIVRE, a French money of account, containing 20 fols. See MoNEr-Table. LIXA, or Lixus, in Ancient Geography, a town on the Atlantic near the river Lixus \ made a Roman co¬ lony by Claudius Caefar; famous in mythology for the palace of Antscus and his encounter with Hercules, (Pliny). Now Larache, 65 leagues to the fouth of the Ilraits of Gibraltar. LIXIVIOUS, an appellation given to falts 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; which is more or lefs powerful, as it has imbibed the fixed falts contained in the afhes. LIXNAW, a barony in the county of Kerry and province of Munfter in Ireland, which gives title of baron to the earls of Kerry •, the village here of this name being their ancient feat, where the caftle was erefted. This feat Hands agreeably on the river Brick, which is here cut into feveral pieafant navigable canals, that adorn its plantations and gardens. W. Long. 9. 15. N. Lat. 52. 15. LIZARD. See Lacerta, Erpetology Index. Lizard, in Geography, a cape or promontory of Cornwall, fituated, according to the moll common com¬ putation, in W. Long. 5. 47. N. Lat. 49. 50. LLANDAFF. See Landaff. LLOYD, William, a moll learned Englilh writer and bilhop, was born in Berkfliire in England in 1627. He was educated under his father, reCfor of Sonning, and vicar of Tyle-hurft in Berklhire •, then went to Ox¬ ford, and took orders. In 1 660 he was made preben¬ dary of Rippon ; and in 1666 chaplain to the king. In 1667 took the degree of dosflor of divinity , in 1672 he was inftalled dean of Bangor ; and in 1680 was con- fecrated bithop of St Afaph. He wTas one of the fix bifhops who, with Archbilhop Sancroft, w’ere commit¬ ted prifoners to the Tower of London, for fubferibing a petition to the king againft diftributing and publilhing his declaration for liberty of confcience. Soon after the revolution he was made almoner to King William and Queen Mary : in 1692 he wfas tranllated to the bishop¬ ric of Litchfield and Coventry*, and in 1699, to the fee ofWorcefier, where he fat till his death, which happened in 1717, the gift year of his, age. Dr Bur¬ net gives him an exalted character, and his works are highly efleemed. LOACH, See Cobitis, Ichthyology Index. LOAD, or Lode, in mining, a wmrd uied efpecial- ly in the tin-mines, for any regular vein or courfe, whe¬ ther metallic or not; but molt commonly load means a i metallic vein. When the fubftances forming thele loads are reducible to metal, the loads are by the Eng¬ lilh miners faid to be alive 5 otherwife they are termed dead loads. In Cornw'all and Devonlhire the loads chiefly hold their courfe from eaftwrard to wefhvard, though in other parts of England they frequently run from north to fouth. See Veins, Geology Index. Load is alfo ufed for nine dtfhes of ore, each dilh being about half a hundred weight. LOADSTONE. See Magnet. LOAMS, in Natural Hijlory, are defined to be earths compofed of diflimilar particles, ftiff, denfe, hard, and rough to the touch 5 not eafily broke wnile moift, readily diflufible in water, and compofed of fand and a tough vifeid clay. Of thefe loams fome arewhitilh, and others browm and yellown 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 j remarkable chiefly for the capital 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 firit Portuguefe governor in thefe parts. It is large, populous, and pleafantly feat- ed on the declivity of a hill near the fea-coail, and fa¬ cing the fouth-weft. The ifland is fupplied wuth frelh water from wells dug in it} and w'hich are not funk be¬ low the depth of three feet when they are filled with excellent w*ater. It is remarkable, however, that the water of thefe wells continues good only during the time of high tide } for, as that finks, the w-ater becomes more and more brackilh, till at laid it is quite lalt, al- mofl as much as the fea itfelf. On the coaft of this ifland are fifhed the zimbis, or fhells ufed in feveral parts of Africa inflead of money j and with thefe fhells, inflead of coin, is carried on a great 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 Catherine undet the fe- cond degree of fouth latitude, to a fmall river called Lovanda Louijia, on the 5th degree of the fame. From weft to eaft it extends from Cape Negro on the coafl of Ethiopia towards the Ruchumalean mountains, fo called on account of their vafl quantity of ivory and great droves of elephants, about 300 miles. It is divided into four principal provinces, viz. thofe of Lovangiri, Loango-mongo, Chilcngo, and Piri. The inhabitants are very black, well fliaped, andb of a mild temper. The men wear long petticoats, from the waift downwards, and have a piece of cloth round their w’aift. The women’s petticoats are made of ilrawr. This country abounds with poultry, oxen, cows, Creep, goats, elephants, tigers, leopards, civet-cats, and other animals j fo that here are great quantities of ele7 phants teeth, and fine furs, to be traded for. The capital city, where the king refides, called Loango, and, in the language of the negroes, Boaric, is fituated in South Lat. 4^ degrees, a league and a half from . r - LOG Is Lobby from the fea-coaft, and is fhaded and adorned with ba- { ^ j hanas, and other trees. 'ihe king, who refides in tca ‘ a large palace in the middle of it, has about 1500 con¬ cubines. If any of them is furprifed in adultery, fhe and her paramour are iuilantly conveyed to the top of a very high hill, whence they are hurled down headlong from the fleeneft place. Every man marries as many wives here as he pleafes, who are obliged to get their hulbands a livelihood, as is the practice all along the African coaft inhabited by blacks. The women, therefore, cultivate the land, fow and reap, w hile the lazy hufbands-loiter away their time in idlenefs. The king’s revenue confifls 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 lavogus; but his greateft riches conlift in Haves of both fexes. LOBBY, in Architc&ure, is a fmalhhall or waiting- room : it is alfo an entrance into a principal apartment, where there is a confiderable fpace between that and a portico or veftibule, and the length or dimenfions will not allow' it to be conhdered as a veftibule or an anti- room. See Antichamber. LOBE, in Anatomy, any fleftiy protuberant part, as the lobes of the lungs, the lobes of the ears, &c. LOBELIA, CARDINAL-FLOWER ; a genus of plants belonging to the fyngenefia clafs ; and in the natural method ranking under the 29th order, Campanacece. See Botany Index. LOBETUM, anciently a town of the Hither Spain : faid to have been built by the Libyan Hercu¬ les, (Pliny). Now AlbaraAn, a town of Arragon on the confines of New Caftile, on the river Guadalavir. E. Long. 2. N. Lat. 40. 40. LOBO, Jerome, a Jefuit miflionary, wras born at Lifbon in the year 1593. ^-e became a member of the Jefuit fociety at 16 years of age, and in 1622 w'ent out as a miffionary to the Eaft Indies; He failed to the coaft of Mozambique, after making fome ftay at Goa ; and afterwards penetrated into Abyffimia, where his zeal and refolution brought on him the hatred of the monks, from which he incurred much danger and fuf- fering. As he returned to Portugal he w7as fhipwreck- ed on the coaft of Natal, where feven months were fpent in conftru&ing fhallops to bring them away. One of them foundered, but that in which Father Lobo failed arrived fafe at Angola. After a variety of ad¬ ventures he arrived at Lifbon ; and be employed him- felf in the caufe of the Ethiopian miffiion both at Ma¬ drid and Rome. He took a fecond voyage to the In¬ dies, where he w'as made reftor of the houfe at Goa. He returned to Lilbon in 1638, and was chofen re&or of the college of Coimbra, where he died in 1678, at the age of 84. Lobo wwote an hiftorical account of Abyffima in the Portuguefe language, w'hich contains information both curious and valuable. It was tranflated into French by the abbe le Grand in 4to, in 1728; and the earlieft producfion of Dr Samuel Johnfon w7as an abridged ver- fion of this work. LOBSTER, a fpecies of cancer. See Cancer, En¬ tomology Index. LOCAL, in Law, fomething fixed to the freehold, -pr tied to a certain place 5 thus, real actions are local, Z 6 ] LOG fince they muft be brought in the country w'here they lie ; and local cuftorns are thofe peculiar to certain countries and places. Local Medicines, thofe deftined to a (ft upon par¬ ticular parts 5 as fomentations, epithems, veficatories, &c. LOC \RNO, a towm of Swiuerland, capital of a bailiwick of the fame name, feated at the north end ot the lake Maggiore, near the river Magie. It car¬ ries on a great trade ; and the country abounds in paftures, wine, and fruits. E. Lonrr. 8. 41. N. Lat. 46. 6, LOCHABER, a diftritft of the fhire of Invernefs in Scotland. It is bounded by Moydart on the weft, Glengary on the north, Badenoch on the eaft, and Lorn on the fouth. It derives its name from the lake or loch Aber} and extends about 20 miles from eaft to w’eft, and 30 from north to fouth. The country is barren, bleak, mountainous, and rugged. Near the mouth of the river Aber, in the centre between the Weft and North Highlands, ftands Fort William, with the town of Maryburgh, built upon a navigable arm of the fea, not far from the foot of Benevis. The town, diagned as a futlery for the garriion, was ere£ted into a borough; and the fort itfelf was defigned as a check upon fome of the clans, who had been guilty of depredations and other irregularities. Lochaber is inhabited moftly by the Mac¬ donalds, Camerons, and Mackintoflies. The caftle of Macdonald of Glengary, in this dill rift, was burnt to the ground in the year 1715, in confequence of his de¬ claring for the Pretender. The elegant houfe and gardens belonging to Cameron of Loehiel undenvent th e fame fate, for the fame reafon, in the year 1 746. LOCHIA, in Midwifery, a flux from the uterus coniequent to delivery. See Midwifery. LOCK, a well-known inllrument ufed for faftening doors, chefls, &c. generally opened by a key. The lock is reckoned the maflerpiece in finithery ; a great deal of art and delicacy being required in con¬ triving and varying the wards, fprings, bolts, &c. and adjufting them to the places where they are to be ufed, and to the various occafions of ufing them. From the various ftnnfture of locks, accommodated to their different intentions, they acquire various names. Thofe placed on outer doors are called flock-locks; thofe on chamber doors, flpring-locks; thofe on trunks, trunk- locks, paddocks, &c. Of thefe the fpring-lock is the moft conflderable, both for its frequency and the curiofity of its ftrufture; 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-wTards, bolt-toe or bolt-knab, drawback-fpring tumbler, pin of the tumbler, and the flaples ; to the cover-plate belong the pin, main-ward, crofs-ward, ftep-w’ard 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 conftru terms of a geometrical feries to which there is adapted an arithmetical feries, fo that each number has its logarithm oppofite to it, as in the preceding ftiort table. For it is evident, that to mul¬ tiply twro numbers wTe have only to add their loga¬ rithms, and oppofite to that logarithm which is the fum we fhall find the produfl required. Thus, to mul¬ tiply 16 by 128; to the logarithm of 16, which is 4, we add the logarithm of 128, which is 7, and op¬ pofite to the fum 11, w’e find 2048, the produdl fought. On the other hand, to divide any number in the table by any other number, we muft fubtraft the logarithm of the divifor from that of the dividend, and look for the remainder among the logarithms, and oppofite to it we (hall find the number fought. Thus, to di¬ vide 2048 by 128, from 11, which is the logarithm of 2048 we fubtraft 7, the logarithm of 128, and oppofite to the remainder 4 we find 16, the quotient fought. Let us now fuppofe any number of geometrical means to be interpofed between each two adjoining terms of the preceding geometrical feries, and the fame number of arithmetical means between every two adjoining terms of the arithmetical feries ; then, as the refults will ftill be a geometrical and an arithmetical feries, the in¬ terpolated terms of the latter will be the logarithms of the correfponding terms of the former, and the two new feries will have the very fame properties as the original feries. If we fuppofe the number of interpolated means to be very great, it will follow that among the terms of the refulting geometrical feries, fome one or other will be found nearly equal to any propofed number what¬ ever. Therefore, although the preceding table exhi¬ bits the logaiithms of 1, 2, 4, 8, 16, &c. but does not contain the logarithms of the intermediate num¬ bers, 3, 5, 6, 7, 9, 10, &c. yet it is eafy to conceive that a table might be formed by interpolation which ftiould contain, among the terms of the geometrical fe¬ ries, all numbers whatever to a certain extent, (or at leaft others very neaily equal to them) together with their logarithms. If fuch a table were conftrudled, or at leaft if fuch terms of the geometrical progreflion were found together with their logarithms, as were either accurately equal to, or coincided nearly with, all num¬ bers 3 L O G A R Introcluc- bers witbin certain limits, (for example between I and , tl0n- iooooo) then, as often as we had occafion to multiply v"" '' or divide any numbers contained in that table we might evidently obtain the produfts or quotients by the Am¬ ple operations of addition and fubtra&ion. The firft invention of logarithms has been attributed by fbme to Longomontanus, and by others to Jufte Byrgey two mathematicians who were cotemporary with Lord Napier; but there is no reafon to fuppofe thi/t either of thefe anticipated him, for Longomontanus never publilh- ed any thing on the fubjeft, although he lived thirty- three years after Napier had made known his difeovery; and as to Byrgey he is indeed known to have printed a table containing an arithmetical and a geometrical pro- greffion written oppofite to each other$. ib as to form in effect a fyftem of logarithms of the fatne kind as thofe invented by Napier, without however explaining their nature and ufe, although it appears from the title he intended to do fo, but was probably prevented by fome caufe unknown to us. But this work was not printed till 1620, fix years after Napier had publilhed his dif¬ eovery. It is therefore with good reafon that Napier is now univerfally confidered as the firft, and moft probably as the only inventor. This difeovery he publilhed in the year 1614 in a book entitled Mirijici Logarithmorum Canonis Defcriptio, but he referved the conftru&ion of the numbers till the opinion of the learned concerning his invention fhould be known. His work contains a table of the natural fines and cofines, and their loga¬ rithms for every minute of the quadrant, as alfo the differences between the logarithmic fines and cofines, which are in effedl the logarithmic tangents. There is no table of the logarithms of numbers $ but precepts are given, by which they, as well as the logarithmic tan¬ gents, may be found from the table of natural and lo¬ garithmic fines. In explaining the nature of logarithms, Napier fup- pofes feme determinate line which reprefents the radius of a circle to be continually diminifhed, fo as to have fucceflively all poflible values, and thus to be equal to every fine, one after another, throughout the qua¬ drant. And he fuppofes this diminution to be effected by a point moving from one extremity towards the other extremity, (or rather fome point very near it), with a mo¬ tion that is not uniform, but becomes flotver and flower, and fuch, that if the whole time between the beginning and the end of the motion be conceived to be divided into a very great number of equal portions, the decre¬ ments taken away in each of thefe fhall be to one ano¬ ther as the refpeftive remainders of the line. Accord¬ ing to this mode of conceiving the line to decreafe, it is eafy to (hew that at the end of any fucceffive equal in¬ tervals of time from the beginning of the motion, the portions of the line which remain will conftitute a de- creafing geometrical progreflion. Again, he fuppofes another line to be generated by a point which moves along it equably, or which paffes over equal intervals of it in equal times. Thus the por¬ tions of the line generated at the end of any equal fuc- ceflive intervals of time from the beginning of the mo¬ tion will form a feries of quantities in arithmetical pro¬ greflion, Now if the two motions be fuppofed to be¬ gin together, at the end of any equal intervals of time the remainders of the one line will form a feries of Vou XH. Part J. I T H M S. 65 quantities in geometrical progrtflion, and the corref- Introduc- ponding portions generated of the other line, will con-, tlon' , ftitute a feries in arithmetical progreflion, fo that the latter will be the logarithms of the former. And as the terms of the geometrical progreflion decreafe con¬ tinually from radius, which is the greateft term, to o, while the terms of the correfponding arithmetical pro¬ greflion increafe from o upwards, according to Napier’s lyftem the logarithm of radius is o, and the logarithms of the fines from radius down to o, are a feiies of numbers increafing from o to infinite. The velocities or degrees of quicknefs with which the motions commence may have to each other any ratio whatever, and by affuming different ratios we lhall have different fyftems of logarithms. Napier ftippofed. the velocities to be equal; but the fyftem of logarithms produced in confequence of this affumption having been found to have fome difadvantages, it has been long dif- ufed, and a more convenient one fubftituted inftead of it, as we fhall prefently have occafion to explain. Napier’s work having been written in Latin was tranflated into EnglUh by Mr Edivard Wright, an in¬ genious mathematician of that period, and the inventor of the principles of what is commonly though errone- oully called Mercator's failing. The translation was fent to Napier for his perufal, and returned with his approbation, and the addition of a few lines, intimating that he intended to make fome alteration in the fyftem of logarithms in a fecond edition. Mr Wright died foan after be received back his tranflation ; but it was publhhed after his death, in the year 1616, accom¬ panied with a dedication by his fon to the Eaft India Company, and a preface by Henry Briggs, who after¬ wards diftinguifhed himfelf fo much by his improvement of logarithms. Mr Briggs likewife gave in this work the defeription and draught of a fcale which had been invented by Wright, as alfo various methods of his own for finding the logarithms of numbers, and the contrary, by means of Napier’s table, the ufe of which had been attended with fome inconvenience on account of its con¬ taining only fuch numbers as were the natural fines ta every minute of the quadrant and their logarithms. There W’as an additional inconvenience in ufing the table, arifing from the logarithms being partly pofitive and partly negative ; the latter of thefe was, however, well remedied by John Speidell in his New Logarithms, firft publilhcd in the year 1-619, contained the fines, cofines, tangents, cotangents, fecants, and cofe- cants, and given in fuch a form as to be all pofitive ; and the former was ftill more completely removed by an additional table, which he gave in the fixth impreffion of his work, in the year 1624, and which contained the logarithms of the whole numbers 1,2, 3, 4, &c. to 1000, together with their differences and arithmetical complements, &c. This table is now commonly call¬ ed hyperbolic logarithms, bccaufe the numbers ferve to exprefs the areas contained between a hyperbola and its afymptote, and limited by ordinates drawn parallel to the other afymptote. This name, however, is cer¬ tainly improper, as the fame fpaces may reprefent the logarithms of any fyftem whatever, (fee Fluxions. $152. Ex. 5.) In 1719 Robert Napier, fon of the inventor of lo¬ garithms, publiihed a fecond edition of his father’s Logarithmorum Canonis Defcriptio. And along with I this / L O G A R - this the promifed Logarithmofum Canonis CotiJlruBio, l and other pieces written bj his father and Mr Briggs. An exafl copy of the fame two works in one volume was alfo printed in 1620 at Lyons in France. In 1618 or 1619 Benjamin Urjinus, mathematician to the elector of Brandenburg, publiilied Napier’s tables of logarithms in his Curfus Mathematicus, to which he added feme tables of proportional parts j and in 1624 he printed his Trigonometric, with a table of natural fines,aand their logarithms of the Napierean kind andfc>rm, to every ten feconds of the quadrant. In the fame year, 1624, the celebrated John Kepler publiihed at Marpurg logarithms of nearly the fame kind, under the title of Chilias Logarithmorum ad to- tidem Numeros Rotundas, prcemijfa Demonjlratione ligi- tima Ortus Logarithmorum eorumque Ufus, &c. and in the following year he publilhed a fupplement to this work. In the preface to this laft he fays, that feveral of the profeflbrs of mathematics in Upper Germany, and more efpecially thofe of them who were fomewhat advanced in years, and were grown averfe to new me¬ thods of reafoning that carried them out of the old doc¬ trines and principles with which habit had rendered them familiar, doubted in fome degree whether Napier’s demon ft ration of the property of logarithms was perfect¬ ly true, and whether the application of them to trigo- nometrical calculations might not be unfafe and lead the calculator who ftrould truft in them to erroneous refults 5 and in either cafe, whether the do&rine w'ere true or not, they confidered Napier’s demon ftration of it as illegitimate and unfatisfaclory This opinion in¬ duced Kepler to compofe the above-mentioned work, in which the whole doftrine is treated in a manner ftriftly geometrical, and free from the confiderations of motion which the German mathematicians had objected to (and not wuthout reafon) in Napier’s mode of treating the fubjeci. On the publication of Napier’s logarithms, Mr Henry Briggs, fome time profeffor of geometry in Greiham college London, and aftemards Savilian profeffor of geometry at Oxford (whom we have already mentioned) applied himfelf with great earneftnefs to their ftudy and improvement, and it appears that he had projedted at an early period that advantageous change in the fyftem which has fince taken place. From the particular view which Napier took of the fubjedf, and the manner in which he conceived logarithms to be generated, it hap¬ pened that in his fyftem, the logarithms of a feries of numbers which increafed in a decuple ratio, (as 1,10, J 00, 1000, &c.) formed adecreafing arithmetical feries, the common difference of the terms of which was -•320585r* But it occurred to Briggs that it would be oe;.ter and more conformable to the received deci¬ mal notation, to adopt a fyftem in which the logarithms of the terms of fuch a geometrical feries fhould differ froin each other by unity or 1. This idea Briggs com¬ municated to the public in his ledfures, and alfo to Napier himfelf. He even went twice to Edinburgh to fee him, and to converfe with him upon the fubiedt ■ and on his firft vifit Napier faid that he had alfo form¬ erly thought, of the fame improvement, but that he chofe to publifh the logarithms he.had previoufly cal¬ culated, till fuch time as his health and convenience would allow him to make others more commodious. And whereas in the change which Briggs propofedj it I T H M 8. was intended to make the logarithms of the fines to in- Introduc- creafe from o (the logarithm of radius) to infinity, t’ori- while the fines themfelves fhould decreafe, it was fuo- v~"““ gefted to him by Napier that it would be better to make them increafe fo that o, inftead of being the lo¬ garithm of radius, ftiould be the logarithm of°1 ; and that 100000, &c. fhould be the logarithm of radius ; and this Bfiggs admitted would be an improvement ; . and having changed the numbers he had already cal¬ culated lo as to make them fuit Napier’s modification of his plan, he returned with them next year to Edin¬ burgh, and fubmitted them to his perufal. It appears therefore that Briggs was the inventor of this improved fyftem of logarithms which has fince been univerfally adopted, and that the only ftiare that Napier had in it w’as his fuggefting to Briggs to begin with the lovy number 1, and to make the logarithms, or the artificial numbers, as Napier had always called them, to increafe with the natural numbers, inftead of decreafing, w hich made no alteration in the figures, but only in their affedlions or figns, changing them from negative to pofitive. On Briggs’s return from Edinburgh, in 1617, he printed the firft thoufand logarithms to eight places of. figures, befides the index, with the title of Logarithmo¬ rum Chilias prime; but thefe feem not to have been pubhftied till after the death of Napier, which happen¬ ed in 1618, for in his preface he expreifes a hope, that the circumftances which led to a change in the fyftem would be^explained in Napier’s pollhumous work, which was prefently to appear. But although Napier had in¬ timated in a note he had given in Wright’s tranflation of the Canon Mirificus, as wxdl as his Rabdolcgia, print¬ ed in 1617, that he intended to alter the fcale, yet he altogether omits to ftate that Briggs either w as the firft to think of this improvement, or at leaft to publifh it to the w’orld. And as the fame filence on this point was obferved in Napier’s pofthumous work publilhed in 1619 by his fon, Briggs took occafion in the preface to his Arithmetica Lagarithmica to affert his claims to the improvement he had nowr carried into execution. The ftudied filence which Napier feems to have ob¬ ferved refpedfing the improvement of the fyftem, which Briggs had communicated to him, has given juft reafon to fufpeft that he wifhed to be confidered as the author of that improvement, as wTell as the original inventor. But although it is poffible that he thought of it as foon as Briggs, it would feem to have been no more than juftice, if, when announcing his intended change of the fcale, he had acknowledged that the fame idea had oc¬ curred to Briggs as well as to himielf. In 1620 Mr Edmund Gunter publiflied his Canon of Triangles, which contains the artificial or logarithmic fines and tangents to every minute to feven places of fi¬ gures befides the index, the logarithm of radius being 10. Thefe logarithms are of the kind which had been agreed upon between Napier and Briggs, and they w'ere the firft tables of logarithmic fines and tangents that were publiftied of this fort. Gunter alio in 1623 re¬ printed the fame in his book de SeBore et Radio, toge¬ ther with the Chilias pnma of Briggs j and in the fame year he applied the logarithms of numbers, fines, and tangents, to ftraight lines drawn upon a ruler. This inftrument is now in common ufe for navigation and o- ther purpofes, and is commonly called Gunter's fcale. The L O G A H Ifttfoduc- The difcoveries In Logarithms were firft carried to tion. Trance by Mr Edmund Wingate, but not firft of all as •—""v ' he fays in the preface to his book. He publiftied at Paris in 1624 two fmall trafts in the French language upon logarithms, and thefe were reprinted with improve¬ ments at London in 1626. > _ . In the year 1624, Briggs publifhed his Arithmetica Logarithmica, a ftupendous work confidering the fhort time he had been in preparing it. He here gives the logarithms of 30000 natural numbers to fourteen places of figures, befides the index •, namely, from 1 to 20000, and from 90000 to looooo, together with the difte- rences of the logarithms. He alio gives an ample trea- tife on their conftruaion and ufe, and he earneftly foli- cits others to undertake the computation of the interme¬ diate numbers, offering to give inftru&ions, and. paper ready ruled for that purpofe, to any perfons inclined to contribute to the completion of fo valuable a work. By this invitation he had hopes of collefting mateiials for the logarithms of the intermediate *jooco numbers, while he Ihould employ his time upon the Canon of Lo¬ garithmic fines and tangents, and fo carry on both works at once. Soon after this, Adrian Vlacq or Elack of Gouda m Holland completed the intermediate 70 chiliads, and republilhed the Amthnietica Logarithmic a in 1627 and 16 28, with thefe intermediate numbers, making in all, the logarithms of all numbers to 100,000, but only to 10 places of figures. To thefe was added a table of ar¬ tificial fines, tangents, and fecants, to every minute of the quadrant. Briggs himfelf lived alfo to complete a table of lo¬ garithmic fines and tangents, to the 100th part of every degree, to fourteen plates of figures befides the index, together with a table of natural fines to the fame parts to fifteen places, and the tangents and fecants of the fame to ten places, with the conftruftion of the whole. But his death, wdiich then happened, prevented him from completing the application and ufes of them. However, when dying, he Committed the performing of this office to his friend Henry Gellihrand, who ac¬ cordingly added a preface, and the application of the logarithms to plane and fpherical trigonometry. 1 he work was called Trigonometria Britannic a, and was printed at Gouda in the year 1633 under the care of Adrian Vlack. In the fame year, 1633, Adrian Vlach printed a work of his own, called Trigonometria Artijicialis, Jive Magnus Canon Triangulorum Logarithmicus ad Decadas Secundorum Scrupulorum Conjlrudius. This work con¬ tains the logarithmic fines and tangents to 10 places of figures, with their differences for every 10 feconds in the quadrant. It alfo contains Briggs’s table of the firft 20000 logarithms to ten places, befides the index, with their differences •, and to the rvhole is prefixed a defcription of the tables and their applications, chiefly extracted from Briggs’s Trigonometria Britannic a, which we have already mentioned. Gellibrand publifhed alfo, in 1635, An Injiitution Trigonometrical, containing the logarithms of the firft J0,000 numbers, wdth the natural fines, tangents, and fecants, and the logarithmic fines and tangents for de- grees-and minutes j all to leven places of figures befides the index. I T H M s. 67 The writers, wdiofe works we nave hitherto noticed, Intreduc- were for the moft part computers of logarithms. But 1 __ ^ 1 the fyftem beft adapted to practice being now7 w’ell af- certained, and the labour of conftrucling the table ac- complifhed, fucceeding writers on the fubjeft have had little more to do than to give the tables in the moft convenient form. It is true that, in confequence of the numerous difcoveries which were afterwards made in mathematics, particularly in the dodfrine of feries, great improvements were made in the method of com¬ puting logarithms •, but thefe, for the moft part, came too late to be of ufe in the adtual conftrudtion of the table, although they might be applied wflth advantage to verify calculations previoufly performed by methoas much more laborious. As it is of importance that fuch as have occafion to employ logarithms ftiould know what wTorks are held in eftimation on account of their extent and accuracy, wre fhall enumerate the following. 1. Sherwin’s Mathematical Tables, in 8vo. Thefe contain the logarithms of ail numbers to ici,oooj and the fines, tangents, fecants, and verfed fines, both na¬ tural and logarithmic, to every minute of the quadrant. The third edition, printed in I742> which w\*s revifed by Gardiner, is efteemed the moft correct j but, in the fifth edition, the errors are fo numerous, that no de¬ pendence can be placed upon it when accuracy is re¬ quired. 2. Gardiner’s Tables of Logarithms for all numbers to 101,000, and for the fines and tangents to every ten feconds of the quadrant 5 alfo for the fines of the firft 72 minutes to every fingle fecond, &c. This wTork, which is in 410, was printed in I742> anc^ ** high eftimation for its accuracy. 3. An edition of the fame work, with fome additions, printed in 1770 in Avignon in France. The tables in both editions are to feven places of figures. 4. Tables Portatives de Logarithmes, publiee a Lon- dres, par Gardiner, augmentdes et perfeclionecs dans leur difpojition, par M. Collet.—Th'.s work is moft beautifully printed in a fmall oftavo volume, and con¬ tains all the tables in Gardiner’s quarto volume j with fome additions and improvements. 5. Dr Hutton’s Mathematical Tables, containing common hyperbolic and logiftic logarithms, &c.— I his w7ork has paffed through feveral editions, under the care of the learned author : it is perhaps the moft com¬ mon of any in this country, and is defervedly held in the higheft eftimation, both on account of its accuracy, and the very valuable information it contains refpedting the hiftory of logarithms, and other branches of mathe¬ matics connefted with them. 6. Taylor’s Table of Logarithmic Sines and Tangents to every fecond of the quadrantto which is prefixed a table of logarithms from 1 to 100,000, &c.— 1 his is a moft valuable work •, but being a very large quarto volume, and alfo very expenfive, it is lefs adapted to general ufe than- the preceding, which is an o£tavo, and may be had at a moderate price. 7. Tables portatives des logariihmes, contenant les lo¬ garithmes des nombres depuis 1 jufqu'1 a 108,000; let logarithmes des Jinus et tangentes, de feconde en feconde pour les cinq premiers degrees, de dix en dix fecondes pour tons les degrees du quart-de cercle, et fuivant la J a . nouvelle 68 LOG A n vol. feries, P-3H 4to Nature of nauvslle divi/ion eentejimale dc dix-millleme en dix mil- Logarithm^,licme, &.c. par Callet,—This work, which is in oftavo, £-cc- may be re a Ion ably expefted to be very accurate, it be¬ ing printed in the (lereotype manner, by Didot. In addition to thcfe, it is proper that we fliould no¬ tice a flupendous work relating to logarithms, origi¬ nally iu^gefted by the celebrated Carnot, in conjunction with Prieur de la Cote d'Or, and Brunei de Montpelier, about the beginning of the French revolution. This enterprife was committed, in the year 1794> ^'e care of Front/, a French mathematician of great eminence, who was not only to compofe tables which JhouId leave nothing to be defined with rcfpecl to accuracy, but to male them the mojl extended and mojl Jlriking monument of calculation which had ever been executed or ever una- * Nicholf. gined *. It appears that two manufcript copies of the Journ. work were formed, compofed of 17 volumes large fo¬ lio and containing, befides an introdu£tion, the fol¬ lowing tables. 1. The natural fines for each 10,000th part of the quadrant, calculated to twenty-five places of decimals, to be pmblifhed with twenty-two decimals and five co¬ lumns of differences. 2. The logarithms of thefe fines, calculated to four¬ teen decimals, with five columns of differences. 3. The logarithms of the ratios of the fines to the arcs for the firfi: five thoufand 100,000th parts of the quadrant, calculated to fourteen decimal places, with three columns of differences. 4. The logarithms of the tangents correfponding with the logarithms of the fines. 5. The logarithms of the ratios of the tangents to the arcs calculated like thcfe of the third article. 6. Logarithms of numbers from 1 to 100,000, cal¬ culated to nineteen places of decimals. 7. The logarithms of numbers from 100,000 to 200,000, calculated to 24 decimals, in order to be pub- Ilfhed to 12 decimals and three columns of differences. The printing of this work was begun at the expence of the French government, but was fufpended at the fall of the aflignats •, whether it has been fmce refumed we cannot pofitively fay, but it certainly is not yet completed. SECT. I. jQF THE NATURE OF LOGARITHMS AND THEIR CONSTRUCTION. WE have already ftiewn that the properties of loga¬ rithms are deducible from thofe of two feries, the terms of one of which form a geometrical progreffion, and thofe of the other an arithmetical progreffion 5 and as this manner of treating the fubjefl is fimple, it is perhaps the beft adapted of any to fuch of our readers as have not purfued the ftudy of mathematics to any great ex¬ tent We fhall now (hew how, from the fame princi¬ ples, the logarithm of any propofed number whatever may be found. The firft flep to be taken in conftrufling a fyffem of logarithms is to affume the logarithm of fome determi¬ nate number, befides that of unity or 1, which muff ne- ceffaiily be o. From the particular view which Napier took of the fubjeft, he was led to affume unity for the logarithm of the number 2.718282, by which it hap- I T H M S. pened that the logarithm of 1 0 was 2.302585, and tiffs Nature of affumption being made, the form of the fyffem became Logantfinaa, determinate, and the logarithm of every number fixed ^c' to one particular value. Mr Briggs however obferved, that it would be bet¬ ter to affume unity for the logarithm of ic, inftead of making it the logarithm of 2.718282, as in Napier’s fyftem, and hence the logarithms of the terms of the geometrical piogreflion I, 10, ICO, IOOO, IOOOO, &c. were neceffarily fixed to the corefponding terms of this arithmetical progreflion, o, I, 2, 3, 4, &.c. That is, the logarithm of 1 being o, and that of 10 being j, the logarithm of 100 is 2, and that of 1000 is 3, and fo on. The logarithms of the terms of the progreflion, 1,10, IOO, loco, &c. being thus determined j in order to form the logarithms of the numbers between 1 and 10, and between 10, and ico, and fo on, we muff conceive a very great number of geometrical means to be inter- pofed between each two adjoining terms of the prece- ding geometrical feries, and as many arithmetical means between the correfponding terms of the arithmetical fe¬ ries ; then, like as the terms of the arithmetical leries o, I, 2, 3, &c. are the logarithms of the correfponding terms of the geometrical feries 1, 10, 100, 1000, &c. the interpolated terms of the former will alfo be the1 lo¬ garithms of the correfponding interpolated terms of the latter. Now as by fuppofing the number of means in- terpofed between each two terms of the geometrical fe¬ ries to be fufficiently gfeat, fome one or other of them, may be found which will be very nearly equal to any propofed number j it is evident that to find the lo¬ garithm of fuch a number, we have only to feek for one of the interpolated means which is very nearly equal to it, and to take- the logarithm of that mean as a near value of the logarithm required. As a particular example, let it be required to find the logarithm of the number 5, according to Briggs’s fyftem. Fir/l fep of the procefs.—‘The number 5 is between I and 10, the logarithms of which rve already know to be o and 1 : Let a geometrical mean be found be¬ tween the two former, and an arithmetical mean be¬ tween the two latter. The geometrical mean will be the fquare root of the product of the numbers 1 and 10, which is 3.162277 •, and the arithmetical mean will be half the firm of the logarithms O and 1, which is 0.5; therefore the logarithm of 3.162277 is o.?. But as the mean thus found is not fufficiently near to the propofed number, we muff: proceed with the opera¬ tion as follows: Second fep.—The number 5, whofe logarithm is fought is between 3.162277, the mean laft found, and 10, the logarithms of which we know to be 0.5 and I j we muff now find a geometrical mean between the two former, and an arithmetical mean between the two latter. The one of thefe is v/(3-I62277 X 10) = 5.623413, aijd the other is 1 +0.t_ 0.75 there¬ fore the logarithm of 5.623413 is 0.75. ThirdyA/>.—We have now obtained two numbers, namely L O G A R Nature of namely 3.162277 and 5.623413, one on each fide of logarithms,^ together with their logarithms 0.5 and .075, we . ^~c~ therefore proceed exaftly as before, and accordingly we v ' find the geometrical mean, or ^(3.162277x5.623413), to be 4.216964, and the arithmetical mean, or - 2 to be 0.625 j therefore the logarithm of 4.216964 is 0.625. Fourth flep,—We proceed in the fame manner with the numbers 4.216964, and 5.623413 (one of which is lefs, and the other greater than 5) and their loga¬ rithms 0.625 and 0.75, and find a new geometrical mean, viz. 4.869674, and its correfponding arithmeti¬ cal mean, or logarithm, 0.6875. We muft go on in this way till we have found twen¬ ty-two geometrical means, and as many correfponding arithmetical means or logarithms. And that wTe may indicate how thefe are found from each other, let the numbers 1 and to be denoted by A and B, and their geometrical means taken in their order by C, D, E, &.c. then the refults of the fuccefiive operations will be as in the following table. Numbers. A I.OOOOOO B = 10.000000 C = a/AB == 3.162277 D = x/BC = 5.623413 E = x/CD — 4.216964 F = y^DE 4.869674 G = y/DF = 5.232991 H =r ^/FG = 5.048065 I = i/FH = 4.958069 K = x/HI = 5.002865 L = ^/IK = 4.980416 M =r ^KE = 4.991627 N = VK-M = 4.997242 O — v/KN — 5.000052 P = VNO rr 4.998647 Q. = A/OP = 4*999350 R = a/OQ^ — 4.999701 S = y'OR = 4.999876 T = ^/OS = 4.999963 V =r v^OT — 5.000008 W =r v'TV = 4.999984 X =: ^/WV rr 4.999997 Y — y'VX ~ 5.000003 Z =0 y^XY = 5.000000 Logarithms. 0.0000000 1.0000000 0.5000000 0.7500000 0.6250000 0.6875000 0.7187500 0.7031250 0.6953125 0.6992187 0.6972656 0.69824!! 0.6987304 0.6989745 0.6988525 0.6989135 0.6989440 0.6989592 0.6989668 0.6989707 0.6989687 0.6989697 0.6989702 0.6989700 As the laft of thefe means, viz. Z, agrees with 5, the propofed number, as far at leaft as the fixth place of de¬ cimals, we may fafely confider them as very nearly equal, therefore their logarithms will alfo be very nearly equal, that is the logarithm of 5 will be b 6989700 nearly. In performing the operations indicated in the prece¬ ding table it will be neceflary to find the geometrical means at the beginning to many more figures than are here put down, in order to obtain at laft a refult true to 7 decimal places. Thus it appears that the labour of computing logarithms by this method is indeed very great. It is, however, that which was employed by Briggs and Vlacq in the original conftruflion of loga¬ rithms 5 but fince the period in which they lived, others more eafy have been found, as we {hall prefently have occafion to explain. The logarithm of any number whatever may be I T H M S. 69 found by a feries of calculations fimilar to that which Nature of we have juft now explained. But in conftru£ling the table it rvould only be neceffary to have recourfe to this , , ^. 1 method in calculating the logarithms of prime num¬ bers ; for as often as the logarithm of a number which was the produft of other numbers, whofe logarithms were known, was required, it would be immediately obtained by adding together the logarithms of its fac¬ tors. On the contrary, if the logarithm of the produfl of tw’o numbers were known, and alfo that of erne of its fadlors, the logarithm of the other faflor would be obtained from thefe, by limply taking their difference. From this laft remark it is obvious, that having now found the logarithm of 5, we can immediately find that of 2; for fince 2 is the quotient of 10 divided by 5, its logarithm wall be the difference of the logarithms of 10 and 5 *, now the logarithm of 10 is 1, and the logarithm of 5 is 0.6989700, therefore the logarithm of 2180.3010300. Having thus obtained the logarithms of 2 and 5, in addition to thofe of 10, 100, 1000, &c. we may thence find the logarithms of innumerable other numbers. Thus, becaufe 4=r 2X2, the logarithm of 4 will be the logarithm of 2 added to itfelf, or wall be twice the lo¬ garithm of 2. Again, becaufe 5 x 10=150, the loga¬ rithm of 50 will be the fum of the logarithms of 5 and w 10. In this manner it is evident we may find the lo¬ garithms of 8=2x4, 16=2x8, of 25=5x5, and of as many more fuch numbers as wTe pleafe. Befides the view w'e have hitherto taken of the theo¬ ry of logarithms, there are others under which it has been prefented by different authors. Some of thefe we proceed to explain, beginning with that in which they are defined to be the tneafures of ratios; but to fee the propriety of this definition, it muft be underftood what is meant by the meafure of a ratio. According to the definition of a compound ratio, as laid down by writers on geometry, it there be any num¬ ber of magnitudes A, B, C, D, which are continual proportionals, or fuch that the ratio of A to B is equal to the ratio of B to C, and that again is equal to the ratio of C to D, and fo on, the ratio of the firft of thefe magnitudes A to the third C is confidered as made up of two equal ratios, each equal to the ratio of the firft A to the fecond B. And in like manner the ratio of the firft A to the fourth D is confidered as made up of three equal ratios, each equal to the ratio of the firft to the fecond, and fo on. (See Geometry Se9 is otherwife expreffed by 4Rs-r 7R4_j_ jR 3 which is equivalent to Again, the mixt number 371.2431s exprefled by jR'+yR'A _|_ |t, °' ty sR'+vR'+^+^'+dR^+sR-3- As to vulgar fraftions, by transforming them to deci¬ mals, they may be exprefied in the fame manner. Tl,uSi=.375=3R-I+7R-J+jR~3- Alfa |= .666, &c.=6R-i+6R-j+6R-34. &c. Although the number 10 has been fixed upon as the root of the fcale of notation, any other number may be employed to exprefs all numbers whatever in the fame manner ; and feme numbers are even preferable to 10. Thus, making 8 the root of a fcale, and de¬ noting it by R, the number 2735, when expreffed ac¬ cording to this fcale, is 5R3 + iR1-}-5RIff-7R°, or 5R3+2RI + 5R-}-7 ; and here we may obferve, that if a number greater than 10 wTere affumed as the root of the fcale of notation, it would be neceffary to adopt fome new numeral charafters in addition to thofe in common ufe, and if a fmaller number wrere affumed, we might difpenfe with fome of thofe we already have. But inftead of expreffing all numbers by the fums of certain multiples of the fucceflive powrers of fome par¬ ticular number, we may alfo exprefs them, if not accu¬ rately, at leaf! as near as we pleafe, by a fingle power, whole or fractional, of any pofitive number whatever, which may be either wdrole or fractional, but mult not be unity. Let us take, for example, 2 as the number, by the powders of which all others are to be expreffed. Then it may be Ihewn that the numbers 1, 2, 3, &c. are all expreffible by the powrers of 2, as follows. 1 = 2° 2=2J 3 —21-5849(5 6—;2j-5849(5 nearly 7_:22.807 3 nearly :, nearly 8rr23 p—2 3.1699 10= 23•3219 nearly, 4=2* 5=r22*3119, nearly and fo on. And if inftead of 2 we take the number 10, then wre have 1 = 10° 2~ 10*3 020 3 3— jq.477i» 4— i0-«O2OJ, it followrs that r^rzr* , and r—r1^. Let us now fuppofe that r" is the bafe of a third fyftem of lo¬ garithms, and R and R' the logarithms of r and r' ta¬ ken according to this third fyilem $ then becaufe I T H M S. A' R A ~ R7’ and A: A (^: : R : R'): ' R : R'* Hence it appears, that the logarithm of a number, taken according to one fystem, has to its logarithm, taken ac¬ cording to any other fystem, a con fart ratio, which is the fame as that of the reciprocals of the logarithms of the radical numbers of thofe fystems, taken according to any fystem whatever. Let us next fuppofe, that a and b are two numbers, and A and B their logarithms, taken according to the fame fyftem, and r the bafe of the fyftem j then becaufe A B / . r —a, r ~b; r"R=r, r’1 — r' • we have r"RR'=rR', r"RR'=r'R j therefore rR ~r'R, and r~r,lv j but we have already M A/ _R found rzzr1^- > therefore r1A—and consequently 3 R .fj Nature of Logarithms,. &.C. , AB B we have r ~a , AB 7 A r =£> therefore a^—b^, and a—b^, now as r is not found in A this equation, the value of the fra&ion — depends only on the numbers a and b ; therefore, the logarithms of any two given numbers have the fame ratio in every fys¬ tem whatever. Having now explained the properties wdiich belong to the logarithms of any fyftem whatever, we proceed to inveftigate general rules by which the number cor- refponding to any logarithm, and on the contrary, the logarithm correfponding to any number, may be found the one from the other. And for this end let us de¬ note any number whatever by y, and its logarithm by x, and put r as before for the bafe, or radical number of the fyftem •, then by the nature of logarithms we have this equation y-rX- Put r=r 1-|-tf, and let the expreffion (i-f-fl)* be ex¬ panded into a feries by the binomial theorem j thus we fliall have ij— 1 -\-xa -} y(.v—1) , x(x—1)(*—2) 1 . 2 . 3 . 4 ' 2-3 '-f- &c. Let this feries, the terms of which are arranged ac¬ cording to the powers of the quantity a, be transform¬ ed into another the terms of which (hall be arranged according to the powders of x; and to effeft this we muft find the aftual products of the fa&ors which con- ftitute the powers of a, and arrange the terms anew, as fpllows, 1 = 1, xa—-\-ax, x{x—1) a* a 0 xA x‘ 2 1 2 1.2.3 3 2 6 x(x l)(.V 3) ^y.l. **. i . 2 . 3 . 4 4 24 4 24 &c. &c. fo that adding into one fum the quantities on each fide of the fign —, and recolledling that the fum of thefe on the left-hand Jide is equal to y, wre have 1 LOGARITHMS. 73 Nature of Logarithms, &cc. y-rX- ! / a* a' > —}-*( a— 1 — 2 3 4 , a* >3’ 4-( &.c.)a4, 1 v24 t+&C. wliich equation, by fubftituting, r7* A for « [- A' for 2 a* 3 23 I liT* — 2 4 4 —&c. 4-&c. A" for f-&c. 6 4 Aw for &c. 24 &c. may be abbreviated to rx — 1 -j-Ax’ -j- AJx1 -f- Al'x* -f- A!"x* &c. Next, to determine the law of connexion of the quantities A, A', A", A"', &c. let ar + ss be fubftituted in the laft equation for x, (here ^ is put for any inde¬ finite quantity) thus it becomes rX+7,— 1 -f.A(a?-f-2s)-f.A'(a?-f-!3)*+A"(a?-|-!s)J-f- &c. But rx+*—rx x /**, and fince it has been fhewn that rx~ 14-Aa* A'a1 -{~ A,/a3 -j" A'^x4 -}- &c. for the very fame reafon r^= l-|-A« +A'^-i-A"»3_j_Aw2;4-J- &c. therefore the feries 1 + A(a?+‘2)-f A'^d-^)^A"(a;+!s)34-Aw/(ar!-«)4-f &c. is equal to the produft of the two feries 1 -(- A*-}- A'x2 -f- A"a3 -{- A'"x* -j- &c. 1 A 2; -J- A'z* A''^3 A'"*;4 -f &c. That is, by a6lual involution and multiplication 1 -J-AcV-fJA' x7, -}- A" x* + A'" x* &c.'| -j~Az-j-2 A'xz -j-3 AJ'x1^ -j- 4A'"*3* J -f- A'x;* -j-3 A/'a?«3-{-6A//Vis*-f- &c. -J- A" z* ^A"'x%* -f- &c. -j- A!" 2>4 -j- &c. "i4-Aar-f-A'#* 4. A"a’ -f- A'"a;4 4 &c. 4A*4A*Ar!z4AAVz4 AA,/x5«4 &c. 4 A'z* 4 AA!xz2-\-A,A,x1z2 4 &c. 4 A'^1 4 AA,/a;K34 &cc. 4 A'" z4 4 &c. Now as the quantities A, A', A", &cc. are quite inde¬ pendent of x and 2;, the two fides of the equation can Vol. XII. Part I. only be identical upon the fuppofition that the co-effi- Nature of cients of like terms in each are equal; therefore, letting^10 afide the firfl: line of each fide of the equation, becaufe , their terms are the fame, and alfo the firft term of the fecond line, for the fame reafon, let the coefficients of the remaining terms be put equal to one another, thus we have A*~ 2 A' AA'=3A" AA'^A'" &c. and hence we have A'— A"= A'"—- A* . 2 A3 2 • 3 A4 l 1 . 2 &c. 3-4 Here the law of the coefficients A, A', Aw, &c. is obvious, each being formed from the preceding by mul¬ tiplying it by A, and dividing by the exponent of the power of A which is thus formed. Let thefe values of A', A", &c. be now fubftituted in the equation y—rx— 14 Ax 4 AV 4 Al’x3 4 &c. and it becomes, A3 ,. A4 , „ x*+ &c. A* y~i 4 Ax’4-::— 1 .2 • 3 1.2.3 *4 thus we have obtained a general formula expreffing a number in terms of its logarithm and the bafe of the fyftem, for we muft recoiled that the quantity A which is equal to a.a 'T+y is otherwife exprefled by (r—l)* | (r— 1) 3 •—4- &c. 4 5 (r—Q4 j (r—I)3 &c. where r denotes the bafe of the fyftem (a). If in the formula rx~ i 4 Ax 4‘j we fuppofe x— A3 -a:*4 2 I.2.3 it becomes A3 «34 A4 3-4 A4 4 &C. A* r— 14 A-J }- 1 1.2 1 1.2.3 A4 3-4 4" &c. an equation which contains r only ; but as r has been all along fuppofed an indeterminate quantity, this equa¬ tion muft be identical, that is, if inftead of A, its va¬ lue, as exprefled above in terms of r, were fubftituted, the whole would vaniili. Again, let us fuppofe that is fubftituted inftead of -A. x in the general formula, thus it becomes 1 rA~141 —~ “P 7—~—7 4 7—~—i—■ 4 &c* • 2.3 K 2-3 -4 Thus J (a) For other analytic methods of inveftigating the fame formula, fee Algebra § 203, and FluxioNj 6 54 and $ 70. Ex. 1. alfo J 200. Prob. 1. JL O G A H Nature of Logarithms, t]-,e quantity rA, whatever be the value of r, is &c* , evidently equal to a conftant number, which, as appears from the laft equation, is equal to the value of r when A=i. By adding together a fufficient number of the x terms of the feries expreffing the value of rA, we find that quantity equal to 2.718281 828459045 .. . I Let this number be denoted by *+ &c ? If the number y, whofe logarithm is required be very near to unity, lb that 1—y is a fmall quantity, then the logarithm may be found from this formula with great eafe, becaufe the feries will converge very rapid¬ ly. If, however, I—y be greater than unity, the fe¬ ries, inftead of converging, will diverge, fo as to be in its prefent form of no ufe. It may however be transformed into another, which {hall converge in every cafe, by fubftituting in it n\fy inftead of y, and obferving that leg. (B) For other metuods of inveftigating the fame formula fee Alg^BRA 284, and Fluxions § 70. Ex, 3; alfo § 136. Nature Logari- ' L O G A R tliu; becomes • ;; ,vJ«A/y_I_x(«v/y--i)*+TC^/F-1),-&c.| where: ,*< ^a; denote any number whatever, pofitive pr negative. LV whatever be the number y, we can always take n, fuch, that nx^t/ ihall be as nearly equal to I, as we nleafe, therefore by this laft formula, we can al¬ ways find the logarithm of y to any degree of accuracy whatever. If we fuppofe n to be taken negative, then K^/y I T H M S, 75 Thus we have two limits to the value of the lo- Nature of garithm of y, which, by taking the number n Sufficient- tog^hms» ly great may come as near to each other as we pleafe. In like manner we .find two limits to the value of the reciprocal to the modulus, viz. It is evident that the difference between the two limits of log. y, is rr - and the feries which expreffes log. y becomes, fWy by changing the figns, where all the terms are pofitive. Thus we have it in our power to exprefs the value of y, either by a feries which {hall have its terms all pofitive, or by one which .{hall have its terms alternately pofitive and negative : for it is evident that y being greater than unity, n\/y will alfo be greater than unity, and y being lefs than unity, n\/y will alfo be lefs than unity, but the diffe¬ rences will be fo much the fmaller as n the exponent of the root is greater j therefore w\//y—1 be pofitive in the firft cafe, and negative in the fecond. Becaufe ^ —, therefore Nap. log. 10 > Nap. log. 10 r 6 — ~ ; hence by the two laft formulas we have M ■ — r:n^w\/io—x—J(”v/10—i)*+f(w\Ao —1)3 — &c.|- alfo It is evident that by giving to n\fy fuch a value that n^y—i is a fraftion lefs than unity, we render both the feries for the value of log. y converging ; for as H ■s/y—i is a fraction lefs than unity, the expreffion - —A will alfo be lefs than unity, feeing that it is nVy equal to V ^ Therefore, in the firft feries, the fe- n\/y cond and third terms (taken together as one term) con- ftitute a negative quantity, and as the fame is alfo true of the fourth and fifth, and fo on j the amount of all the terms after the firft is a negative quantity, that is a quantity which is to be fubtra&ed from the firft, that we may have the value of log. y. Hence we may in¬ fer that log. y^LnU{»i/y—i). And fince, on the contrary, the terms of the fecond fe¬ ries are all pofitive, the amount of all the terms after the firft is a pofitive quantity, that is, a quantity which muft be added to the firft to give the value of " log. y; fb that we have therefore if we take either the one or the other of the two preceding expreflions for log. y, the error in excefs or defeat is neceffarily lefc than this quantity. By thefe formulas we may depend upon having the logarithm of any number true to m figures, if we give to n fuch a value that the root n \/y fliall have m cy¬ phers between the decimal point and the firft fignifi- cant figure on the right. So that in general, as the er¬ ror is the fmaller according as n the exponent of the root is greater, we may conclude that it becomes no¬ thing, or may be reckoned as nothing, when n is taken indefinitely great •, and this being the cafe, we may con¬ clude that either of thefe expreflions «M(Vy—1)> «M(i— is the accurate value of log. y. The beft manner of applying the preceding formula is to take fome power or the number 2 for n ; for by doing fo, the root n\/y may be»found by a repetition of extra£lions of the fquare root only. It was in this way that Briggs calculated the firft logarithms ; and he remarked, that if in performing the fucceflive extrac¬ tions of the fquare root, he at laft obtained twice as many decimal places as there were cyphers after the decimal point, the integer before it being unity, then the deci¬ mal part of this root was exactly the half of that which went before ; fo that the decimal parts of the two roots were to each in the fame proportion as their logarithms: now this is an evident confequence of the preceding formula. To give an example of the application of the formu¬ la, let it be required to find the numerical value of M, the modulus of the common fyftem of logarithms, which, as it is the reciprocal of the Napierean logarithm of i o is equal to - x r—7 nearly, n n\/lO—I J when h is fome very great number. Let us fuppofe h~26°—%i0 $ then, dividing unity by 8, and this refult again by 8, and fo on, we ihall after 20 divitions have or eqaal to « o 0.00000 ooooo ooooo 00086 73617 37988 40354- Alfo, by extra&ing the fquare root of 10, and. the fquare root of this refult, and fo on, after performing 6® extra&ions we {hall find n\/ lo equal to 1.60000 00000000000019971742 08125 5052703251. K 2 Therefore, 76 Nature of r Logaritlims, Therefore, - X &c. n LOGARITHMS. , or M, is equal to quently 86736.7379,8i40iii= ; 8 _ 199717420812550527 As a fecond example, let it be required to find by the fame formula the logarithm of the number 3, which is nearly equal to M —1) = _ Vs—1 log. 3 = —1) n\/io—1’ n being as before a very great number. Let us fap- pofe alfo in this cafe that n—260 ; then after 60 ex¬ tractions of the fquare root we have wv/3 equal to 1 .oocoo ocooo occoo 0095 28942 64074 5893 2. Therefore, taking the value of K^/io as found in laid example, we have VS—1 _ 952894^64Q745893a !^/io—1 199717420812550527 =•4 7712 11547 19662. This method of computing logarithms is evidently attended with great labour, on account of the number of extractions of roots which it requires, to obtain a re- fult true to a moderate number of places of figures. But the two feries, which we have given, ferve to fimplify and complete it. For, whatever be the number 7/, it is only neceflary to proceed with the extractions of the fquare root, till we have obtained for a value which is unity followed by a decimal fraCtion; and then n\/i/—I, being a fraCtion, its powers will alfo be fractions, which will be fo much the fmaller as their exponents are greater 5 thus a certain number of terms of the feries will ferve to exprefs the logarithm to as many decimal places as may be required. There are yet other analytical artifices by which the feries log.y = M|y-i-^(y-i)J-j-}(y-03-|(y-04+&c-} may be transformed into others which (hall always converge, and in particular the following. Let 1 -\-u be fubftituted in the feries for y ; then it becomes 1 f \ UK f u% . u* *>s n \ log. = -4- - +——, &c.J. In like manner let 1—u be fubftituted for ?/, and we have log. y—-7 43 / l V' 25—1 r ' „ , , Nature of ——— tor u, will be otnerwife exprefted thus, Logarithms 53+ 1 Vc. log^IU {|Ti+t(—)!+4|—; and this formula for the logarithm of a number is not only fimple, but has alfo the property of converging in every poflible cafe. That we may give an example of the utility of this formula we (hall employ it in the calculation of the Napierean logarithm of 2, which by the above formu¬ la will be (j+ -4+ 11 1 5.3! * 9.3^ where A is put for C 3 3-3 A-hyB-bxC-h^D-j-^-E'b &c 2 + &c.^ B D for lows. 37 3 &c. B for 4=—, C for4 “ 3J 9 3J 9’ The calculation will be as fol- A — B=FA: .666666666666 2.074074074074 C~ -5- Brz.00823045 ^674 D= -g- C — .O0O9 I 4494742 Err F Dcr .0001016 x 05 27 F — F Err.000011290059 G — F Fr=.000001 254451 Hrr ^Grr.000000139383 I .000000015487 Krr-g- I = .000000001721 L rr -g- Krrr.ooooooooo 191 M= -g-Lrr.oooooooooo2X A=.666666666666 |B=.o2469i358o25 F €=.001646090535 4 D=.ocoi3o642 rob ~ Err.oooor 1290059 ttF=.000001026369 -rTG=.OOOOOOO96496 -i^rH=.oooooooo929z —.OOOOOOOOO9I I -ii5L=.oooooooooo9 1 •g-VM—.OOOOOOOOOOO I Let each fide of the latter equation be fubtrafted from the correfponding fide of the former 5 the refult on the left-hand fide will be log. (1 -}-«)—log. (1—w), which, by the nature of logarithms, is equal to log. and on the right-hand fide the alternate terms of the two feries, having the fame fign, thefe will by fubtraCHon deftroy each other, fo that we (hall have , I 4-W -nv C V* tl"1 1 log-7Z^=2M|"+7 + 7+y+» j which ftries, by fubftitutjng % for and confe-. Nap. log. 2 =.693147180551 Thus, by a very eafy calculation, we have obtained the Napierean logarithm of 2 true to the firft ten places of figures 5 the accurate value, as far as the I 2th place, being 0.693147180550. If this very fimple procefs by which we have found the logarithm of 2 (the whole of which is here actually put down), be compared with the laborious calcula¬ tions which muft have been performed to have found the fame logarithm by the method explained in the be¬ ginning of this fedion, the great fuperiority of this me¬ thod to the other, and even to the fecond method, by which we have found the numerical value of M, and the common logarithm of 3, muft be very apparent. In the fame manner as we have found the logarithm of 2 we may find thofe of 3, 5, &c. In computing the logarithm LOGARITHMS. Nature of logarithm of 3 the feries would converge by the powers Logantbiu,^ thefra£lion and in computing the loga- v "’J 5—I j ridim of 5 it would converge by the powers — T 5 but in each of thefe cafes the feries would converge flower, and of courfe the labour would be greater than in computing the logarithm of 2. And if the number whofe logarithm was required was ftill move confider- able •, as for example 199, the feries would converge fo flow as to be ufelefs. We may however avoid this inconvenience by again transforming this laft formula into another which fhall exprefs the^ logarithm of any number by means of a feries, and a logarithm fuppofed to be previoufly known. _ . . l-fw « To effe£l this new transformation, let - = 1 -r~» =: -OOOOO T o 24000 F=tVE =.000000040960 Gt= F = .0000000016 5 8 H=7/^-Gro.oooooooooo66 A=.400000000000 4 B =.005333333333 C = .000128000000 4. D = .00000365 7143 i £ = .000000113778 tYF=.000000003724 Vtg=.00000000012 5 ^5-^1=.000000000004 77 Nature of Logarithms* &.C. Nap. log. 2. .405465108108 1.693147180551 then, by refolving this equation in refpea of u, we have NaP* loS- 3- — l-0986x 2288659 1 and « be fub- u — —, Let thefe values of 2i-(-52 1—u flituted in the/ormula, iog- +7 + 7 + 7+&c-) and we have log. ^1 equal to but log. ^ I 4- ^)=log. = log. (fl-f*2) log- «’ therefore, by fubflituting this value of log. —~an B =-jpr A, C “-gY B, &c. The calculation. A=.222222222122 B = -5it-A-=.oo2743484225 C=TtB = .000033870176 d=YtC=.000000418150 E=aVD = .00000000516 2 F=jTE =.000000000064 A=.222222222222 4 B=.000914494742 4 £=.000006774035 4 D=.oooooco59736 4 £=.000000000574 * F =.000000000006 .223143551315 Nap. log. 4 =1.386294361102. Nap. log. 5 =1.609437912417 This refult is alfo correft to the firft ten places of deci¬ mals. The / 7g ; L O G A R I T H! M S. Nature of The logarkhtn of 6 is found from thofe of 2 and 3 Logarithms^ conftdering, that becaufe 6=2X3> therefore log. 6 &c‘ =. log. 2 + log. 3. Nap. log. 2=0.693147180551 Nap. log. 3 = 1.098612288659 Nap. log. 6=1.791759469210 This refult is correifl; as far as the tenth decimal place. We might find the logarithm of 7 from the loga¬ rithm of 6, that is, from the logarithms of 3 and 2, in the fame manner as we have found the logarithms of 5 and 3 $ but it may be more readily found from the logarithms of 2 and 5 by reafoning thus. Becaufe , therefore log. 2 -j- 2 log. $ — 2- l°g* 7 7* 49 =log.—, and confequently iog. 1—i IoS- 2+ log. 5—4 log. ~ Now the logarithm of — may be readily obtained from & 49 the formula log. +&c.| For fubftituting — for z, the formula gives Nap. log. — =2( j r+ —-j-f- &c. ) ^ 0 49 V99 4*993 / This logarithm, like thofe we found before, is correct Nature of in the firil ten decimal places. Logarithms^ The logarithms of 8, 9, and 10 are immediately ob* 4. t tained from thofe of 2, 3, and 5, as follows •: 49 W9 ‘ 3-99 = A-k^B+^C-f &c. 2 wher« A = —, B = 9*11 —, C = -i-7, &c. 9a,n* 9*. ii* This feries converges with great rapidity, and a few of its terms will be fufficient to give the logarithm of 7, a& appears from the following operation, B = A=.020202020202 , - A=.coooo2o6t 22© 9*. 11* C! B=.C00C000002I® Q*.I I* A=.0 202020 2020 2 y B=.oooooo687o73 f €=.000000000042! Nap. log. = .020202707317 § log. 2 = 0.346573590275 log. 5 = 1.609437912417 50 1.956011502692 *los‘49 = 0-010I0I3S3658 Nap. log. 2 = 0.695147180551 3 Nap. Idg. 8= 2.079441541653 Nap. log. 3 = 1.098612288659 2 Nap. log. 9 = 2.I97224577318 Nap. log. 2 = o 693147180551 Nap. log. 5= 1.6094379x2417 Nap. log. 10 = 2.302585092968 Thus by a few calculations we have found the N 1 —> all of which may be eafily found by 40 i 1230 _ J the formulas already delivered. Having now explained, at confiderable length, the theory of logarithms upon principles purely analytical, fuch being, as we conceive, the moft natural way of reafoning concerning the properties of number, we (hall conclude this fe£lion by dating briefly the ground upon which it was referred to the principles of geometry by the mathematicians of the 17th century. Let C be the centre, and CH, CK the aiymptotes of an hyperbola. In either of thefe let there be taken any number of con¬ tinual proportionals CA, CB, CD, CE, &.c, then if B b, D > or .1, is —1, that is, 1 confider- ed as fubtraftive $ or, in. the language of algebra, minus one j and the logarithm of or .01, is —2 j and the logarithm of .ooi is —’3, and fo on, as in the following (hort table. Numbers. Logarithms. .OOI • OO .1 I 10 IOO 1000 &c. As the terms of the geometrical progreffion 1, 10, 100, &c. continued backwards as well as forward, are the only numbers whofe logarithms are integers $ the logarithms of all other numbers whatever muft be either fra&ions, or mixt numbers. Accordingly, the loga¬ rithms of all numbers, whether integer or mixt, be¬ tween 1 and 10 are expreffed by decimal fractions lefs than L O G A R toefcriptlon than unity-. The logarithms of numbers between 10 and Uie of an(J 10o are expreffed by mixt numbers compofed of the Table. unity and a decimal fradion. The logarithms of num- bers between too and 1000 are expreffed by mixt num¬ bers compofed of the number 2 and a decimal fraction, and fo on. On the other hand, the logarithm of any vulgar or decimal fradlion lefs than I, but greater than -/q- or .1, will be fome negative decimal fraflion between o and —i •, and the logarithm of any fradlion between .1 and .01, will be a negative mixed quantity between —1 and —2, and fo on. But it muff be remarked, that any fradlion, or mixt number, confidered as entirely negative, may always be transformed into another mixt number of equal va¬ lue, that (hall have its integer part negative, but its fractional part politive, by diminiihing the integer by unity, and increaiing the fractional part by the fame quantity. Thus let the mixt quantity be —2^, which may be alfo written thus —2—T^. Let the integer —2 be dlminifhed by 1, and the refult is —2—J =—3. Alfo, let the fr*£lion—-,V be increafed by 1, and it becomes —TV -f- 1 = + ^ > therefore the fra&ion —2TV or — 2.3, when transformed, is —3 -{- or —3 which may be written thus,, 3.7 •, where the ne¬ gative lign is placed over the integer to indicate that it is the only part of the expreffion that is confidered as negative, the other part, viz. .7, being reckoned pofi- tive. Since therefore any fraClional or mixt quantity, con- lidered as entirely negative, is equivalent to another mixt quantity, the integer part of which only is nega¬ tive, but the fractional part poiitive, it is evident that Inftead of expreffing the logarithms of fraClions by num¬ bers confidered as entirely negative, we may exprefs them by numbers having their integer parts negative, Und their decimal parts pofitive 5 and it is ufual fo to exprefs them. Thus the logarithm of .03, inftead of being expreffed by —1.52288, that is, by —1—.52288, is ufually expreffed by 2.47712, by which is to be un- derftood —2-f.477i2. Again, the logarithm of .7, which, if coniidered as entirely negative, would be —.15490, is otherwife 1.84510. As the logarithms of any leries of numbers forming a geometrical progreflion, the common ratio of which is 10, will exceed each other by the logarithm of 10, that is, by 1, it fellows that the logarithms of all num¬ bers denoted by the fame figures, and differing only in the pofition of the decimal point, wall have the decimal part of their logarithms the fame ; but the integers ftanding before the decimals will be different, and will be pofrtive or negative, according as the numbers are whole or fractional, as in thefe examples. Numbers. 69150 6915 691.5 69.15 6.915 .6915 .06915 Logarithms. 4.83980 3.83980 2.83980 1.83980 0.83980 1.83980 2.83980 I T H M S. ?*• number of integer figures which the natural number con- Defcriptiotr ffts of; or it is equal to the dfiance of the firfl figure from the place of units or firfi place of integers, whether 1 '‘j on the left or on the right of it. The table of logarithms given at the end of this ar¬ ticle, contains the decimal parts of the logarithms of all numbers from 1 to 10,000 j and indeed of all num¬ bers which can be expreffed by four figures, preceded or followed by any numbers of cypher^, fuch as the numbers 367500, .002795, &c. The index, however, is not put down 5 but it is eafily fupplied by the rule which has juft now been given. The table alfo con¬ tains the differences of the logarithms of all numbers from 1000 to io,oco, by means of which the loga¬ rithm of any number confifting of five figures may be eafily obtained. I. To find the logarithm of any number confifiing of four or any fmaller number of figures. Look for the number in the columns titled at the top Numbers ; and in the fame line with it, on the right, in the column of logarithms, will be found the decimal part of its loga¬ rithm, to which fupply the decimal point, and its index according to rule delivered above. Thus, The log. of 9 is found to be 0.95424 of 17 of 2.63 of 13.42 of 6280 of 3749 of .6027 of .00234 of 852600 i.23045 0.41996 1.12775 3.79796 3-57392 1.78010 3.36922 5-93°75 2. To find the logarithm of a number confifiing of five figures. Find the decimal part of the logarithm of the firft four figures of the number, (that is, find the logarithm of the propofed number as if the laft figure were a cy¬ pher), by the preceding rule, and find the difference between that logarithm and the next greater, as given in the column of differences (to the right of the column of logarithms). Then ftate this proportion : As 10, To the tabular difference, So is the laft, or fifth figure of the number, To a fourth proportional j which being added to the former logarithm, and the decimal point and index fupplied, will be the logarithm fought. Example. Required the logarithm of 186.47. The decimal part of the logarithm of the firft four figures, viz. 1864, is .27045, and the difference oppofite to it in the column marked D on the top is 23. Therefore we have this proportion : *3 - 7 ■ “ 10 : 25 10 ’=:i6.i Tht integer figure of a logarithm, is called its index Or character file ; and it is always lefs by one than the Vol. XII. Part I. The fourth proportional is 16.1, or, rejedlipg the deci¬ mal part, .16 nearly ; therefore, to log. of 1684 .27045 add 16 thelog, of 168.47 is 2.27061 JL 3. To $2 L O G A R Defcription To find the logarithm of a vulgar fraBion or mixt number. the labie.^ ]T{tlier reduce the vulgar fra&ion to a decimal, and find its logarithm as above, or elie (having reduced the mixt number to an improper fra&ion) fubtraft the lo¬ garithm of the denominator from the logarithm of the numerator, and the remainder will be the logarithm of the fradiion fought. Ex. I. To find the logarithm of-jly. From the log. of 3 0.4771 2 Subtrad! the log. of 16 1.20412 Rem. log. of or of . 1875 1.27300 Here, as the lower number is greater than the upper, the remainder muff be negative •, the fubtradlion, how¬ ever, is fo performed, that the decimal part of the re¬ mainder is pofitive, and the integer negative. Ex. 2. To find the logarithm of 13^ or ^. From log. of 55 1.74036 Subtradl log. of 4 0.60206 Rem. log. of 13-]; or of 13.75 1.13830 4. To find the number corresponding to anij given lo¬ garithm. Seek the decimal part of the propofed logarithm in the column of logarithms, and if it be found exactly, the figures of the number correfponding to it will be found in the fame line with it in the column of num¬ bers. If the index of the given logarithm is 3, the four figures of the numbers thus found are integers j but if it be 2, the three firft figures are integers, and the fourth is a decimal, and fo on ; the number of integer figures before the decimal point being always one great¬ er than the index, if it be pofitive 5 but if it be nega¬ tive, the number fought will be a decimal, and the number of cyphers between the decimal point and firlt fignificant figure will be one lefs than the index.—Ex¬ amples. The number correfponding to the logarithm 3‘57392 3749* number correfponding to 1.12775 is 13.42. The number correfponding to 3.3692213 .00234, and fo on. But if the given logarithm is not exactly found in the table, fubtradf the next lefs tabular logarithm from it, and take the difference between that logarithm, and the next greater (as given in the column of differ- t ences). Then flate this proportion : As the difference, taken from the table, Is to 10, So is the difference between the given logarithm and the next lefs, To a fourth proportional, which being annexed to the four figures correfponding to the logarithm next lefs than the given one, will be the logarithm required. Example. Find the number anfwering to the loga¬ rithm 4,13278, I T H M S. The dec. part of given log. is 327S Deicdptio!i That of next lefs, viz. log. of 1357, is -13258 ^ Difference 20 v The tabular difference is 32, therefore we have this proportion, 20x10 , . 22 : 10 :: 20 : —6 nearly. 0 32 Therefore the number correfponding to the propofed logarithm is .13576. "in like manner may the numbers to the following lo¬ garithms be found. Logarithm!!. Numbers. I.23457 17.162 3/7343° 5423'8 1.09214 .12363 4.61230 40954 The tabic of logarithms of numbers is followed by a Table of logarithmic Sines and Tangents, for evenj mi¬ nute of the quadrant, with their differences. For the explanation of this table we refer to Trigonometry, to which branch of mathematics it is intended to be applied. We fliall now give pradfical rules, illuftrated by ex¬ amples, for performing the different operations of arith¬ metic by logarithms. MULTIPLICATION by Logarithms. Rule. Take out the logarithms of the fadlors from the table •, then add them together, and their fum will be the logarithm of the produft required. Then find, by infpedlion of the table, the natural number anfwering to their fum, and it will be the produdf required. Obferving to add what is to be carried from the de¬ cimal part of the logarithm to the pofitive index or in¬ dices, or elfe fubtradl it from the negative. Alfb adding the indices together when they are of the fame kind, that is, both pofitive or both negative; but fubtradfing the lefs from the greater when the one is pofitive and the other negative, and prefixing the fign of the greater to the remainder. Examples. E.x. I. To multiply 2.314 by 50.62. Numbers. Logarithms. 2.314 O.36436 50.62 1.70432 Produdl 117.13 2.06868 Ex. 2. To multiply 2.5819 by 3 4573. Numbers. Logarithms. 2.5819 0.41194 3-4573 0.53874 Prod. 0.95068 8.9265 2 Ex. 3, Ddcription Ex. ar.d Ule ot together, the Table. ° L O G A R To multiply 39.02, and 597.16, and .03147 Numbers. 39.Q2 597-16 .03147 Prod. 733.3 Logarithms. I*59129 2.77609 2.49790 2.865 28 I T H M S. Ex. 3. Divide ,06314 by .007241*. Numbers. Logarithms. Divid. .06314 2 80030 Divif. .007241 3.85980 ?3 Defcription amt Ui'e of the Table. Here the fum of the pofitive indices, together with I which we carry, is 4> and from this we fubtraft 2, be- caufe of the negative index —2. Ex. 4. To multiply 3.586 and 2.1046, and 0.8372 and 0.0294 all together. Quot. 8.720 0.94050 Here I carried from the decimals to the —3 makes it —2, which taken from the other —3, leaves O re¬ maining. Ex. 4. Divide .7438 by 12.947. Numbers. Logarithms. Divid. .7438 1.87146 12.947 Divif. 1.11218 Numbers. 3.586 2.1046 O.8372 O.0294 Logarithms. 0.55461 O.32317 1.92283 2.46835 2.75928 .26896 Here the 2 to carry cancels the —2, and there remains the —1 to fet down. DIVISION by Logarithms. Rule. Subtract the logarithm of the divifor from the lo¬ garithm of the dividend, and the number anfvvering to the remainder will be the logarithm of the quoUtmt re- qtti’ed. . Obferving to change the frgn of the index of the di¬ vifor from pofitive to negative, or from negative to pofitive j then take the fum of the indices if they be of the fame name, or their difference when they have dif¬ ferent figns, with the fign of the greater for the index to the logarithm of the quotient. Alfo, when 1 is borrowed in the left-hand place of the decimal part of the logarithm, add it to the index of the divifor when that index is pofitive, but fubtraft it when negative 5 then let the index arifing from thence be changed, and work with it as before. Examples. Ex. 1. To divide 24163 by 4567. Quot. .057449 Here the 1 taken from the —1 makes it become —2 to fet down. PROPORTION by Logarithms. Rule. Add the logarithms of the fecond and third terms, and from the fum fubtradl the logarithm of the firffc term by the foregoing rules, the remainder will be the logarithm of the fourth term required. Or in any compound proportion wdiatever, add toge¬ ther the logarithms of all the terms that are to be mul¬ tiplied ; and from that fum take the fum of the others, the remainder will be the logarithm of the anfwer. Rut, inftead of fubtraaing any logarithm, we may add its arithmetical complement, and the refult. will be the fame. By the arithmetical complement is meant the logarithm of the reciprocal of the given number, or the remainder by taking the given logarithm from O, or from 10, changing the beginning of the fcale from o to 10 *, the eafieft way of doing which is to be¬ gin at the left hand, and fubtraa each figure from 9, except the laft fignificant figure on the right hand, which muft be fubtraaed from 10. But when the in¬ dex is negative, it muft be added to ,9, and the reft fubtraaed as before •, and for every complement that is added fubtraa 10 from the laft fum of the indices. Examples. Ex. 1. Find a fourth proportional to 72.34, 2.519, and 357.48. Numbers. Divid. 24163 Divif. 4567 Logarithms. 4-3 8315 3-65963 0401.5.2908 0.72352 Ex. 2. To divide 37.15 by 523.76. Numbers. Divid. 37-15 Div. 523.76 Logarithms. I.56996 2.71913 Numbers. As 72.34 To 2.519 So is 357.48 To 12.448 Logarithms. I.85938 O.4OI23 2.55325 2.95448 I.O95IO Quot. .07093 2.85083 Here the logarithms of the fecond and third terms are added together, and the logarithm of the firft term is fubtraaed from the fum ; but by taking the arithmeti- L 2 cal ^4 LOGARITHMS. Delcription cal complement of the firfl term, the work might ftand and Ufeofthus ; the Table. As 72.34 To 2.519 So is 357.48 ..To 12.448 Comp. log. 8.14062 0.40123 2-553 25 1.09510 As{136° Gomp. iog. ^ Toj 279-25 I 274 So is 4.5 To 9-4333 00000 43771 2.44599 2-43775 0.65321 0.97466 Here, inftead of fubtrafling the fum of the logarithms of too and 365, we add the arithmetical complement of the logarithms of thefe numbers, and fubtraft 20 from the fum of the indices. INVOLUTION by Logarithms. Rule. Multiply the logarithm of the given number by the index of the power, and the number anfwering to the product will be the power required. Noie.—In multiplying a logarithm with a negative index by a pofitive number, the produdl will be nega¬ tive. But what is to be carried from the decimal part of the logarithm will always be pofitive. And there¬ fore the difference will be the index of the produft, and is always to be made of the fame kind with the greater. Examples. Ex. 1. To fquare the number 2.579. Number. Root 2.569 The index Logarithm. °-4I M5 2 Pbwer 6.6513 0.82290 Ex. 2. To find the cube of 3.0715. Number. Logarithm. Root 30715 0.48735 The index 3 Power 28.976 1.46205 Ex. 3. To raife .09163 to the fourth power. Logarithm. Number. Root .09163 2.96204 4 Power .000070495 5.84816 Here 4 times the negative index being —8, and 3 to carry, prcdudd. the difference is the index of the Pefcription and Ufe of Ex. 4. To raife 1.0045 to the 365th power. the Table. V—-V-—< Ex. 2. If the intereft of 100I. for a year, or 365 days, be 4.5, What will be the intereft of 279.25I. for 274 days. Number. Root 1.0045 The index Power. 5.1493 Logarithm. O.OOI95 975 1170 585 •7H75 EVOLUTION by Logarithms. Rule. Divide the logarithm of the number by the index of the root, and the number anfwering to the quotient is the root fought. When the index of the logarithm to be divided is negative, and does not exadtly contain the divifor with¬ out fome remainder, increafe the index by fuch a num¬ ber as will make it exactly divifible by the index of the root, carrying the units borrowed as fo many tens to the left-hand place of the decimal, and then divide as in whole numbers. Examples. Ex. 1. Find the fquare root of 2. Number. Power .2 Logarithm. 2)0.30!03 Root 1.4142 0.15051 Ex. 2. Find the 10th root of 365. Logarithm. 10)2.56229 N umber. Powrer 365 Root 1.804 0.25623 Ex. 3. To find \A°93* Number. Logarithm. Power .093 2)2.96848 Root .30496 1.48424 Here the divifor 2 is contained exactly in the nega¬ tive index —2, and therefore the index of the quo¬ tient is —1. Ex. 4. To find 3v/*00048. Number. Logarithm. Power .00048 3)4.68124 Root .078298 2-89375 Here the divifor 3, not being exaftly contained in — it is augmented by 2 to make up 6, in which the divi¬ for is contained juft 2 times, then the 2 thus borrowed being carried to the decimal figure ft, makes 26^ which, divided by 3 gives 8, &c. LOGARITHMS OF NUMBERS. N. 11 12 l3 M ±5 16 x7 18 19 20 Log. ooooo 30103 477i2 60206 69897 677815 84510 8903°9 95424 ooooo °4i39 07918 II394 i46i3 17609 20412 23045 25527 27875 3oio3 21 22 23 24 25 26 27 28 29 3° 4I497 43*36 44716 46240 477*2 31 32 3 3] 5 34 _35 36 37 38 39 40 49*36 5°5*5 *851 53*48 544°7 4* 42 43 44 .45 46 47 48 49 _5? 5* 52 53 54 55 56 57 58 59 60 3222 34242 36*73 38021 39794 5563° 56820 57978 59*06 60206 61278 6232 c 63347 64345 6532* 66276 67210 68124 69020 69897 7°757 71600 72428 73239 74036 74819 75587! 76343j 77085: 778*5 N. Log. 60 61 62 63 64 65 77815 78533 79239 79934 80618 81291 6681954 67 82607 ~ 83251 83885 84510 68 69 70 7* 72 73 74 _75 76 77 78 79 80 85126 85733 86332 86923 87506 88081 88649 89209 89763 903°9 81 82 83 84 85 86 87 88 89 90 93450 93952 94448 94939 95424 101 102 103 104 *05 106 107 108 109 110 111 112 **3 * *4 11 11 1 *7 118 11 120 90849 91381 91908 92428 92942 95904 96379 96848 97772 9* 92 93 94 973*3 _95 96 97 98 99 IOC 98227 98677 99123 99564 OOOOO 00432 0860 01284 01703 02119 02531 <02938 03342 03743 04139 04532 O4922 05308 05690 ^ 06070 606446 06819 C7188 555 07918 9°7J N. Log. 120 121 122 12 124 12 07918 08279 08636 30899: 09342 509691 126 127 128 129 130 *3* *32 *33 *34 *35 10037 10380 10721 1*059 **394 11727 12057 12385 12710 *3033 136 *37 *38 *39 140 *3354 13672 *3988 *4301 14613 *4* 142 *43 *44 *45 146 *47 148 *49 *5° *5* *52 *53 *54 *55 *56 *57 *58 *59 160 161 162 163 164 *65 166 *67 168 169 170 *7* 172 *73 *74 *75 176 *77 178 *79 180 14922 1C229 *5534 *5836 16137 *6435 16732 17026 *73*9 17609 17898 18184 18469 18752 19033 *93*2 *959° 19866 20140 2041? 20683 20952 21219 21484 21748 22011 22272 2253* 22789 23045 23300 23553 23805 24055 24304 2455* 24797 25042 2 C28 c 25527 N. 180 181 182 *83 184 185 25527 25768 260.07 26245 26482 26717 186 187 188 189 190 *9* 192 *93 *94 *95 196 *97 198 *99 200 201 202 20 204 210 211 212 213 2*5 218 219 220 Log. 26951 27184 27416 27646 27875 28103 28330 28556 28780 29003 29226 2-9447 29667 9885 30*03 3032o 30535 30750 30963 2053**75 206 31387 2073*597 20831806 20932015 32222 32428 32634 32838 2143304 33244 21633445 21733646 33846 34044 34242 221 222 223 22^ 225 226 354*1 22735603 22835793 35984 36*73 229 230 23* 232 233 234 235 236 237 238 239 240 34439 34635 34830 35025 352*8 36361 36549 36736 36922 37lo7 37291 37475 37658 37840 38021 N. Log. 240 241 242 243 24 245 38021 38202 28382 38561 438739 389*7 246 247 248 24 21° 25* 2C2 253 254 25 2c6 257 39094 39270 39445 9 59620 39794 39967 40140 40312 40483 5 40654 40824 40993 25841162 2594*330 26041497 261 2624 263 264 265 2644 41664 *830 4*996 2160 42325 266 267 268 2694 270 42488 42651 42813 2975 43*36 271 222 273 2644 275 4329 43457 43616 3775 43933 44091 744248 44404 944560 447*6 276 27 278 27 28 281 282! 283 2844 2854 286 287 288 28 290 291 292 29 ' 29 296 297 2984 29 300 4487* 45025 45*79 45332 548 45637 45788 ,45939 946060 46240 46389 46538 346687 446835 546982 47129 47276, 7422 947567 477*2 N. Log. 47712 47857 48001 48144 48287 48430 300 3°* 302 3°3 3°4 305 30648572 307487*4 30848855 30948996 31049136 3** 3*2 3*3 3*4 3*5 49276 494*5 49554 49693 4983* 316 3*7 3*8 3*9 320 49969 50106 50243 50379 505*5 321 322 323 324 325 326 327 328 329 33° 33* 332 333 334 335 5065* 50786 50920 5*055 5**88 5*322 5*455 5*587 51720 5*85* 336 337 338 339 34° 34* 342 343 344 5*983 52**4 52244 52375 52504 52634 52763 52892 53020 53*48 5327 53403 53529 5365 345 53782 346 347 348 349 350 53908 54033 54*58 54283 54407 35* 352 353 354 355 356 357 358 359 360 5453* 54654 54777 54900 55023 55*45 5526 55388 55509 55630 N. Log. 360 361 362 63 5 364 365 55630 5575* 5587* 599* 56110 56229. 36656348 367 368 369 37° 56467 56585 56703 56820 37* 372 373 374 375 376 377 378 379 380 56937 57054 57*7* 57287 57403 38* 382 383 384 385 386 387 388 389 390 39* 392 393 394 395 396 397 39 399 40c 575*9 57634 57749 57864 5797s 58092 58206 58320 58433 58546 58659 5877* 58883 58995 59*06 401 402 403 4°4 405 406 407 '408 409 410 411 4*2 4*3 4*4 4^5 4*6; 4*7 418 4*9 420 59218 59329 59439 5955° 5966 5977° 59879 59988 60097 60206 60314 60423 60 C31 60638 60746 j N. [Log. 42062325 42162428 42262531 42362634 42462737 42562839 42662941 427,63043 428:63144 429.63246 430i63347 43*;63448 43263548 433I63649 43463749 435.63849 436,63949 437.64048 43864*47 439:64246 44°!64345 44*64444 442j64542 445164640 444164738 ! 445:64836 ! 44664933 | 4476503* 44865128 44965225 4506532* 45165418 45265514 453656*0 45465706 45^65801 4 5665896 45765992 45866087 45966181 46066276 461 66370 46266464 46366558 464666 52 46066745 46666839 467 66932 46867025 46967117 47067210 47* |6730 2 47267394 47367486 47467578 47567669 i 476^7761 i 477167852 i 478167943 ! ,479168034 I 48068124 86 LOGARITHMS OF NUMBERS. N. I L°g- 68124 68215 6830 c 68395 68485 68574 48668664 48768753 68842 68931 4»o 481 482 483 484 485 488 489: 490169020 491169108 49269197 493|69285 49469373 49569461 496 497 49869723 44969810 50069897 501 50,2 503 5°4 3°5 5067 5°7 508 5°97 S1© 5 512 5*3 514 515 51? 69548 6963 69984 70070 70243 70329 °415 70501 70586 0672 7°757 70842 70927 71012 71096 71181 5167126^ 7I3-19 5i8 7i433 5*97* 71600 71767 71850 5247I933 525I72016 526172099 527172181 52872263 52972346 53072428 531725°9 53272591 533172673 534^2754 535172835 536:72916 537:72997 538I73078 539:73I59 54°73239 N. Log. 54° 541 542 543 544 73239 73320 73^°° 73480 73560 545173640 546173719 54773799 54873878 54973957 55°74°36 55Ij74II5 55274I94 55374273 554I74351 555i74429 55^74507 557174586 55874663 559 560 56i , 5627 563 564 565 5667 567 568 56975 57c 571 572 573 574 575 5767 577 . 5787 5797 580 581 582 583 584 5857 5867 587 588 589 59° 591 592 593 594 74741 74819 74896 4974 75051 5x28 75205 5282 /5358 75435 5511 75587 75664 7574° 75815 75891 75967 6042 76118 6193 76268 763.45 76418 76492 76567 76641 6716 6790 76864 76938 77012 77085 77*59 77232 77305 77379 595 7 745: 596j77525 597(77597 598177670 599 77743 600:77815 N. | Log. 600 778x5 6oi;77887 602:77960 603,78032 604:78104 605178176 606178247 6071783x9 608(78390 609:78462 1 610178533 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 6.34 635 636 637 638 6398 640 641 642 643 6448 78604 78675 78746 788x7 78888 78958 79029 79099 79169 79239 79309 79379 79449 795l8 79588 79657 79727 79796 79865 79934 80003 80072 80140 80209 80277 80346 80414 80482 0550 80618 80686 80754 80821 ^0889 64^80956 646 81023 647 81090 648 81158 6498 650 651 652 653 65 655 656 657 658 65 66 81291 48 8i358 81425 81491 ‘1558 81624 81690 8i757 81823 981889 8i954 N. L. 660 661 662 8} 954, 82020 82086 663IS2T51 664:82217 665 82282 666:82347 667:82413 668182478 669:82543 670 82607 671 672 673 674 675-82930 676 677 678 681 682 683 684 683 686 687 688 689 690 82672 82737 82802 82866 82995 83°59 83123 679S3187 680 83251 833L 83378 83442 835°6 83569 83632 3696 ^3759 3822 83885 691 692 693 694 8 695 696 697 698 699 700 701 702 7°3 704 7°5 83948 84011 84073 4i36 84x98 84261 84323 84386 84448 84510 84572 84634 84696 84757 84819 706 84S80 70784942 708 85003 85065 85126 709 710 71183187 71285248 713|85309 7i4|8537o 715|85431 71618549: 717:85552 71885612 7i9|85673 720:85733 ! - i 720:85733 72185794 72285854 723 85914 724:85974 723S86034 72686094 727 728 729 86i53 86213 86273 73086332 734 735 731:86392 73286451 86510 86570 86629 86688 86747 86806 86864 86923 /o 737 738 739 740 74 742 743 744 745 74687274 74 748 74 75° 78733 87390 987448 87506 751 752 753 8 754 755 87564 87622 7679 87737 587795 756 757 758 759 760 761 762 763 764 765 766 767 768 769 77° 771 772 77 774 77 77 777 778 77., 780 8698 87040 87099 87216 87852 87910 87967 88024 88081 88138 88195 88252 88309 88366 88423 88480 88536 88593 88649 88705 88762 388818 8887, 588930 688986 89042 89098 _ 154 89209 989] IS. 780: 781 782 783 784 785 786 787 Log. 89209 89265 89321 89376 89432 89487 8954 89597 78889653 789^9708 79089763 79* 792 793 794 795 796 797 798 799 800 390091 90146 9020c 90255 9°309 Sox 802 8039 804 80. 8069 8079 808 809 8x0 811 8129 8249 825 831 832 833 89818 89873 899 89982 9003 90902 '956 813 91009 81491062 81591116 81691169 81791222 81891275 81991328 82091381 82191434 82291487 82391540 II593 9^45 82691698 82791751 82891803 82991855 83091908 91960 92012 9206 5 83492117 83592x69 836J92221 83T92273 83892324 83992376 84092428 N. 84? 841 842 843 ! Log. | 92428 92480 9*531 92583 •84492634 84592686 846,92737 847192788 84b'!92840 849192891 850I92942 85192993 85293044 853|93095| 854193146: 855 931971 85693247! 85793298 s58 93349 85993399 86093450 861 862 863 864 865 866 93500 9355* 93601 93651 93702 93752 86793802 86893852 869193902 87o|93952: 87194002 872(94052 873I94101 87494151 87594201 87694250 87794300 87894349 87994399 880:94448 881:94498 88294547 883:94596 88494645 88594694 8869474 88794792 88894841 88994890 89094939 891 892 8939 8949 895 896 897 898 899 900 94988 95036 5085 5I34 95x82 95231 95279 95328 95376 95424 i J'L1 ' 90095424 9°1'95472 90295 C2I 90395569 904j956l7 90595665 906,95713 90795761 90895809 9o9;95356 91095905 9IIj95952 912(95999 9x3:96047 914196095 91596x42 91696190 91796237 91896284 91996332 92096379 921196426 92296473 923(96520 92496567 925966x4 92696661 927 96708 92896755 92996802 93096858 93196895 93296942 93396988 93497935 935 97°81 93697128 93797174 938 97220 93997267 94° 973 93 94197359 94297405 94397451 94497497 94597543 94697589 94797635 94897.681 44997727 950(97772 95197818 95297864 953 97909 95497955 95598000 95698046 95798091! 958;98i37’: 95998182 96098227 LOGARITHMS OF NUMBERS. N, |_L _ 96 198227 96TI98272 962198318 963I98363 963)98408 965I98453 966) 98498 967) 98543 96898588 96998632 970*98677 9-198722 972I98767 9739^8i 1 974)98856 975:9890° iio2i!00903l 43 N. j Log. D.l N. i Log. L. 102000860, ^ 1108003342 053 83 -°342'3 i°3463i r 03503i I022j00945^| I023|00088:4^! 1081 Io82< 1083 < ,1084 u 1025I01072TI1085 93543 A |ii45|0588_ ,1026 01115 "" ^ ‘ 10275011571, 1028:01199' 1029:01242^ 1030 01284^ 1031101326 / 103201368' 1033I01410; ;8 1086 03 5’83L r 114^05918 U 811206 0813 5 108703623^° 1147 P5956^o! 120708171 97698945 977(98989 978'99034 97' 980 99078 90x23 981 982 983 984 99x67 99211 99255 99300 98599344 986 987 988: 9 Sc 990 99388 9943 2 99476 99 5 20 995^4 99 999 100c 1001 1002 1003 1004 1087103623 108803665* 1089103703!^ 109003743!^, 0378: 103822 03862 1034 1035 OI452, 01494 1036 1.037 I1038 1039 1040 01703 99607 99651 9969 : 99739 7978 2 991 992 99 994 995 99699826 99799870 99913 99957 OOQOO OOO43 OO087 OOI3O OOI73 1004 00217 100600260 CO303 IO08 1012 1013 1014 101 S 1017 1018 003461 =389,.,3 o_243?j43 0047 q 00518 001:61 00604 00647 101600689 00732 00775 10x9008x7 102000860 OI536 2 OI578^2i 01620 ^ 01662'*'2 41 42 42 41 42 42 41 42 J745 01787 1041 1042 1043 01828 1044I01870 1045(01912 1046101953 104701995 1048 02036^ 1049 02078 1050 02119 105102160 105202202 i°53lo2243 1054 02284 105502325 1056 02366 105702407 105802449 105902490 106002531 1061:02572 106202612 106302653 106402694 1065)02735 4° 109403902; i095i°394Ii^n 1096103981! 1097I04021: 1098040601^ 04I00i39 °4I39;^o 1066,02776 1067,02816 1068 02857 1069 02898 1070 02938 51071 (1072 1073 1074 10 r? 1076 1077 1078 1079 02979 03019 03060) 03100 03Mi.p 1099 1100 1102 o 1104 l°4179!oQ|-l^ir^-3!28 042185'’) 116206521,-’ ..^042971^ IlO^O^^j^ IIO604376 04415 04454 1107 1108 1109 1110 04493 0453 2 ii 11 1112 1113 1114 04571 046x0 04650 04689 1116 1X20 °3.8i O3222O °8262i4o -/r 03300^ 080,03342.^ I 11 21 1X22 II23 iii5°4727 04766 111704805 111804844 111904883 04922 04961 04999 0503 8 112405077 II2505i15 112605154 112705192 112810523 1129-05 269 1130,05308 II3I05346 ii3205385 054 23 Ir33 ii34_J^ ir3505500^8 08 0546i-T 1136 1138 1139 1140 ii48i05994l8gj.i2o8|o8207 1149I0603 2P “1120908243 xi50:o6o7o:8'nl 1210 08279 FiTI 06108^ 11 52 06145 *28 II53 o6l83 oQ L°g- lD- i2oo!o79i8! 6 120107954!^ I202|0799°;^ 1203080270' ■i204!o8o63 1205)08099 -’6 206I08135 26 36 36 35 36 6 X. j Loj D. 126 1261 1262 1263 1264 1265 i0037Lj 100 10106, 10140 10175 34 10209 „ -3t N. ! Log. D.|! N. i Log. ID* 13204 20 57: 132142090 1322)12123, , i323jx 2x56)004383' 1324:12189 00I4384 13251x2222 „P38oi3988U o|x38xi4oI9^ 5;F382i405i4i j’i r 438 ^ * vX 0622 I xi 5506258p 0S314 0835 - o386)36 1214084221 6 i2i5o8458)-10 1213 1156:062961 421608493 ii57jo6833i-N ii58o637IrLi 1159064080/ 1160:064465’^ 116106483 r 1217 08529 1218 08565 08600 08636 39 39 39 39 39- 39 4°i 39' 38, 39j 39 39 39j 39 39 38 39 39 38 39| 38 39 38 39 38 39 38 1165 1164 116 ? 7166 1167 o65583; 06595 06633 06670' 06707 1223 08672 08707 08743 1226 1168 06744 1169 1170 06781 06819 1171 x 172 H73 1x74 1 x75 o5538i 05576 05614 05652 05690 1191 1192 xx 93 1194 1X95 1196 1197 1198 X199 1200 06856' 06893 06930 06967 07004 1176 07041 1177 070781 ' 07115 117907151 1180 1181 1182 1183 1184 1185 1186 1187 1188 1189 1190 122408778 1225 08814 08849 08884 08920 o8955 08991 09026 09061 09096 09x32. 09167 109202 09237 : 09272 ' 09307 09342 09377 09412 09447 09482 ’95X7 07188 07225 07262• 07298 07335 °7372 074o8 oJ1246o9552 07445 ofel 07555 07591 07628; 07664jI^|I 253 07700■ Q7737' 07773' 07809■ 07846■ 07882■ 079x8• ji 247 09587 1248:09621 09656 09691 09726 09760 09795 09830 09864 09899 09934 09968 00003 00037 1266102431 , x 267 1027818-’ 1268)10312' 1269:10346 1270)10380 :S2 127110415 1272)10449 1273I10483 1274110517 1275I055I 1326)12254 i327:x 2287j-’^:l:x387 33'1385:i4t4°8! “ li386|i4i76 3LX328|x232op!iI388 31’113 29, i235 2h 4!13 89 o j I38Q:I2885rG:439° 83 X33xji24i8^4:1391 x332!i2450lTr392 x.393 34 x333|x2483! 3,1 13 34125i 1276)10585 10619 10653 X277 1278 1279 1280 35 36 35 36 35 35 36 35 36 35 35 35 S6 35 35 35 35 35 35 35 35 35 35 35 35! 35 34 35 35 35 34 35 35 34 35 35 34 35) 34 1281 32; 1394 34i 1335ii 2548'^ )|X395 I4457n; 34j Q-^° iTTTTZ“Tq7|3 2 X420832 I4239|gI 142 H31 X4201u2 >4333 1 ^ X4395|3J 26P 14420! 31 34 X337 X338 o687|34|i339 10721 10755 1282 10789 128310823 128410857 1285110890 1286:10924 i287ii0958 128810992 1289)11025 1290 1291 1292 1293 1294 11059 x 1093 11126 11160 11193 1295 11227 129611261 1297 1298 1299 1300 1301 1302 13°3 X304 1305 x3o6 1307 1308 1309 1310 1311 13x2 x.3X4 X3X5 X3X7 1318 X3X9 1x294 1x327 11361 xi394 11428 11461 11494 11528 xx 561 xx 594 11628 11661 11694 X1727 34! 34 34 34 33 34 34 34 33 34 34 33 34 33 34 34 33 33 34 33 34 33 33 34 33 33 34 33 33 33 11760 11793 1313 1x826 ;893 33 33 11860 84 33 33) 33 33' 32 33 131611926 xi959 11992 12024 132012057 X341 X342 X343 1344 1 '8x|"2!!i396jx X 2613!^:) I 3 97j 145 2C|“ t 12646^113981145510 X2678:32:139914582T 0 j 1400! x 4613'0 -710, 33! 12743r2,H X2775LI 12808 0-’ 332 ^ 12840. , 345U2872.0 I 1346)12905]^^ 13471X2937 X348 X349 X350 X351 1352 X353 X354 1355 X356 X357 X358 1359 x36o 1361 1362 X363 1364 1365 1366 1367 x368 1369 X370 33; 1X37X XS?2 X373 X374 1.375 12969 13001 X3°33 og! X410 13066, I3098P2 J y 132 13130-’ 0 4 32 131624 o 132 13I94g2 42 32) 32 S2 32! 13226 13258 13290 13322 X3354 X3386 X34i8 X3450 X3481 135x3 X3545 13577 13609 13640 13672 13704 X3735 13767 X3799 i383° 1376 13862 X377!I3893 I378iI3925 21 X379’3956)“- 1380)13988 1402 1403 1404 140 ^ 4406 1407 1408 1409 1411 1412 1413 1414 14x5 14644!, 1 146753 .4706)3' .4737|3 i/|768)8 ■2 1 31 I4799-3o 148600 1489181 1492281 3 X4953 3 2, 31 32’ 32 32 32i 32! 32 31 3 32 31 3 2: 31 32! 32, 1416 1417 14x8 14x9 1420, 1421 1422 X423 1424 X425 14983 15014 X5045 1507631 15106 X5i37 15168 15x98 15229 1426 142 1428 X429 M3° IX431 14 3 2 1x433 X434 1435 15259 I529° 153 20 I535ISo 1538113° '31 13412j 30 154423 I5473)3 .5503 ; ‘333|o X5564 15594)3 j i5625|0 X56 >‘5 3 1568}30 AS0 1436 x4371574 X438 X439 I1440 157I5l3I 746)3 157763 x58068° 15836 3° B7 m LOGARITHMS OF NUMBERS. 456, r457 1458 1459 1460 1461 1462 H63 1464 1466 1467 1468 469 I47° N. | Log. D.| N. | Log. T440 i583^ orlI50°jI76o9 1441 1442 1443 1444 x445 446 1447 448 1449 I45° 16167 16197 16227 162^6 14^ t; 16286 16316 I45I x452 x453 1454 1471 1472 r473 J474 x475 x476 1477 1478 1479 1480 'i 481 x 5866 i5897 x3927i"c 1 5937^g 15987301 l6oi7 30 3 3° 3° 3 3° 3° 29 3°i 3° 16047 16077 16107 56137 1150617782 ‘1507117811 150817840 17869 17898 16346 x6376 16406 *6435 1646 c x6495 16524 x6554 46516584 16613 16643 16673 16702 16732 16761 16791 16820 16850 16879 16909 16938 16067 16997 17026 17056 3° 29 30 29 3° 29 29 3° 2 9 3° 20! 29 29 301 29 29 29 29 3° 'i ni20 I49i!i7348 _ i492I7377l^ 1493;174°6| 14821708 5 i483171r4 148417143 x483I7I73 i48617202 x487i7231 148817260 148947289 149017319 1501I17638 1502117667 X5°3|I7696 I5°4jI7725 I5P5I7754 I5°9 1510 I5H 1512 1513 1514 I3I5 1 ci6 !i5i7 1518 o0|i5i9 18156 29 29 29 29 2 9 28 29 29 29 29 ,28 0926 2„ *79 5JUq 1798417^; i8oi3!‘9 18070 b.!l N. 1560 1561 1562 *563 x564 £565 1 c66 x567 i568 4369 I57° 1571 1572 1573 J374 !i575 D.| N. Log. D. N. Log. jD.)! N. Log. 1>. N. Log. D, I9312 28 I9368, I9396: 1.9424; I9451' x9479' I95°7' I9535! x9562; i959°; 19618, i9645' x9673; 19700; 19728; 20952 20978 21005 21032 2io39 210851 6 :i.!27 162621112! 2ii39l27 2116526 21192j“/ 1627 1628 1629 1:630 1521 1522 1523 x524 1525 9 x526 18355 11527 18384 3° 1528 1529 1C30 4536 x537 T538 I539 !x540 1531 1532 1533 x534 153 5 1541 1542 1543 x544 x545 |i576ji9756 8o99!oq!i577ii9783 i8i27 ; 4578119811, 2glI57919838!2g 28II c80 19866 28 ■9 tyoT rr?TTr!27 28!,-82 2H0-83 18184 18213 18241 18270 18298 18327 1841 2 i884i 18469 18498 1:8526 i8554 18583 18611 18639! 18667! 18696 ■8724!^ ‘iTiiiS 18780; q! .8808 28 i8837'28 l8893:2g 29 28 29 28 28 29 28 28 28 1:631 !632 i633 x634 *635 1636 q!i637 1638 1639 1640 20167, 20194; 20222; __ .20249; 1595 20276 154618921 ... i8949 1548 l8977 "g 1549 19005^ 15 ^019033^ 28 28 1551 1552 1553 19061 19089 x9893 19921 . _.I9948 I58449976 158 !;|2ooo3 586 20030 i587 588 i589 59° 1591 1592 593 I594 I596 x597 x598 x599 1600 1601 1602 !6o3 1604 x6o5 2°303 27 2033° 2g 203 38 ^ 20412 204 3 9! 2! 2046647 20493 20520 20548 27 1641 1642 x643 1644 1645 212191 21245 21272 21299 21315 2X352 21378 2i4°5, 2I431! 2x458; 2i484! 4680 4681 6682 4683 11684 4685 17686 :687 1x688 11689 1690 1691 1692 *693 1694 I1695 1696 4697 22^!26 22^7!26 22583 Uc 226o8!26 22634! 6 2 266c2;^ 22686 22712; 22737! 22763; 22789; 22814 22840; 22866; 22891; 22917; 1740 1741 1742 x743 1744 24055 24080 24105 24x30 24x55 174524180 174624204 24229 24254 24279 24304 24329 24353 2437s. H403 . 24428 21511 21537 21564 21590 21617 1646 1647 1648 1649 1650 21643 21669 21696 21722 21748 !65i 1652 *653 x654 i655 21775 21801 21827 21854 21880 1606.20575 1607:20602 160^20629 1609:20656 1610120683 1611120710 161220737 1656 x657 x658 x659 1660 1661 1662 1663 1664 [1665 !ji666 I1667 !i668 11669 122943 /22968 2| 7698 22994! ji699j23oi9|^ il7ooj23045j2° 26i 21906 21932 21958 21985 22011 22167 22194 22220 22246 !l670 22272 1671 -^r.i«i3po763 I494:i7435!2q 1 '54 'SHi .jl672 !!i673 22298 22324 22350 I495lI7464 29j 1555'19573 2g|!1615.20817 i49o;i7493 '111556119201 ^JII6i6i2o844 149717522I29; 1557,19229 1617120871 149815551 29i;I558iI9257 ^nii1618:20898 1499 17 580 29,1559 19285 1619120925 15oo!i76o9 29! 1560 19312 27 i62o!20952 167422376 1675(2240 i676! 2<7l ^677 ; 1678 — ■ t2ni , -27‘!l679 "J“J 500I17609 29! 1560 19312 ^7, i62oi20952 /|!i68oj2253i| 22427 22453 22479 2*S.°A 26 1706 I7°7 1708 I7°9 1710 27!1726 2CI727 1728 1729 1730 1731 23198 23223 23249 23274 23300 23325 23350 23376 . .23401 171523426 23452 . . 23477 171823502 |I7I9 23528 172Q23553 23578 23603 ^ 23629 I72423654 172523679 23704 23729 23754 23779 23805 1766 1767 1768 : 1769: 1770: 1776 1777 1778 x779 1780 24822 24846 24871 24895 24920 24944 24969 24993 25018 25042 25 26 -'-23n3°2C I73223855 3 x733 23880^ I734239°5 17352393° 3 123955! 3 /j/r 23980!23 x797 25455,24 1738,2400525 1798 25479^^ 1791 x792 x793 x794-jj--2, 1795 25406 ^ 25 124 N. Log. |D 25527,.,. 2555jL| 2557.'4l i8o5|256482^jl 1806 25672 1860 1861 1862 1863 1864 1805 1807 1808 1809 1810 25696 25720 25744 25768 25792 2,, 25816*4 25840 25864 25888 1816 1817 1818 1819 1820 1821 1822 !823 1824 25912 25935 25959 25983 26007 26031 26055 26079 26102 1825 26126 1826 1827 1828 1829 : 1830: 179625431 I 24030 25 •24055Z5 x799 25503 180025527 1836 1'837 1838 1839 1840 1841 1842 1843 1844 £845 1846 1847 1848 1849 1850 1851 1852 1853 1854 26269 26293 26316 ^ 26340 26364 26387 26411 26435 26458 26482 26505 26529 26553 26576 26600 26623 26647 26670 26694 26717 26741 26764 26788 26811 -85526834 1856 1857 1858 26858 26881 26905 185926928 i860 26951 1867 1868 1869 1870 1871 1872 1873 1874 i875i 1876 1877 187827370 27393 27416 1879 1880 1881 1882 1883 1884 1885 18S6 1887 1888 1889 1890 189127669 1892 1893 1894 1895 1896 i8971 1898 1899 1900 1901 1902 1903 I9°4 I9°5 1906 I9°7 1908 I9°9 1910 1911 1912 2695iL, 26975i:| 26998: 3 270211 4 27=4.;;t 27068:^8 123 23 24 866 2709 23 27114 27138 27161 £2iM23 27207: 27231124 27254 27277 27300 27323 27346 27439 27462 27485 27508 27531 27554 27577 27600 27623 27646 27692 277I5 27738 27761 27784 27807 27830 27852 27875 27898 27921 27944 27967 27989 28012 2803 5 2805823 28081 28103 28126 28149 1913 28171 1914 28194 1915 28217 1916 28240 1917 28262 1918 28285 191928307 1920 28330 23 LOGARITHMS OF NUMBERS. 89 N. i Log. 1920' 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1932 1933 J934 I935 28330 28353 28375 28398 28421 28443 28466 28488 28511 28533 28556 28578 28601 28623 28646 28668 936 2869: 28713 28735 28758 28780 I937 1939 1940 1941 1942 J943 1944 1945 1946 1947 1948 1949 I95° 1991 x952 J953 1954 1955 l95^ I957 ^i8 2 959 28803 28825 28847 28870 28892 28914 28937 28999 28981 29003 29026 29048 29070 29092 29215 29237 29259 29181 29203 196 2963 2964 2965 1960 29226 196129248 29270 29292 29324 29336 1966 2967 1968 2969 2970 2972 2972 2973 29358 29380 29403 29425 29447 29469 29492 29513 25274 29535 197529557 197629579 1977 29601 1978 29623 197929645 2980 29667 1). N. Log. |D. 980 981 982 983 2984 1985 1986 2^798 1987 29820 1988 29842 1989 29863 ^ 1990 29885 992 29929 299329952 29667!^ 29688^ 29710 22 2973222 29754!22 2977^22 2 994 1995 1996 2997 2998 2 999 2000 30026 30038 30060 30081 30103 2001 2002 2003 2004 200; 2007 2008 2009 2010 2011 2012 2013 2017 20 if 2019 2020 2021 2022 2023 2024 2025 2°3: 29973 29994 3OI25 30146 30168 3OI9° 30211 22 22 21 2 22 I99I 299°7 22 22 22' 2ij 22 22! 22 21 22 22 21 22 22 21 22 22 21 22 22 21 22 21 22 22 21 22 21 22 21 22 21 22 21 22 21 21 22 21 22 21 200630233 3°255 30276 30298 3°320 3°34I 3°3^3 „30384 201430406 201 c 30428 201630449 3°47I 30492 3°5I4 30535 30557 30578 30600, 30621 3D643 202630664 2027 30685 2028 30707 202930728 203030750 30771 N. Log. 204030963 204130984 204231006 20433I027 204431048 2°453io69 204631091 2047’3iii2 2048 31133 °493II54 205031175 2051 2052 2053 2054 2055 31*97 31218 3i239 31260 31281 20563 2057 2058 2059 2060 2061 2062 2063 20643 206 c 20663 2067 2068 20693 2070 2071 2072 207 2074 2075 21 203230792 2033130814 ^ 2034;3o835i 2035130856:^ . 20361308781 2J2037|30899|2I 22 2038:30920!^ 22 2039,30942^ 2040309631 2076 2077 2078 2079 20803 1302 3*323 3*345 31366 3*387 31408 3*429 3*450 *47* 3*492 *5*3 3*534 3*555 *576 3*597 3*618 3*639 31660 31681 31702 3*723 3*744 3*765 3*785 1806 208131827 2082:31848 2o83!3i869 2084131890 2085131911 2086,31931 208731952 208831973 208931994 209032015 209132035 209232056 209332077 209432098 209532118 2096 3 21391 2097 32160 2098 32181 209932201 210032222 N. Log. 210032222 210132243 210232263 2103 32284 2*0432305 2*0532325 210632346 2107 32366 2*0832387 210932408 211032428 2*11 32449 211232469 2113:32490 2114325*0 2**5!3253* 2**632552 2117132572 2**8132593 2ii9'326i3 2*20132634 2121 2122 2123 2124 2125 21263 2127 2128 212 2*3° 9328 2*3* 2*32 2*33 2*34 2*35 363 2* 2*37 2138 2*39 2140 2141 2142 2*43 2*44 2*45 463 21 2*47 2148 2*49 2150 2151 21 C2 2*53 32654 32675 32695 327*5 32736 2756 32777 32797 ‘18 32838 32858 32879 32899 329*9 32940 2960 32980 3300* 33021 33041 33062 33082 33*02 33*2 33*43 3*63 33*83 33203 33224 33244 33264 33284 33304 2*5433325 2*55133345 2*56,33365 2*57i33385 2*5833405 2*59 2160 33425 33445 D. N. Log. D. N. | Log. 2*6033445 216133465 2*6233486 2*63 33506 2*6433526 2165 33546 2166 2167 2168; 2169 2170 33566 33586 336o6 33626 33646 2171 2172 2*73 217 2*75 33666 33686 337o6 433726 33746 763 21 2*7 2178 2*7 2180 3766 733786 33806 933826 33846 2181 2182 2183 2184 2185 2186 2187 2188 2189 2190 2191 2192 2*9; 2*94 2*95 2196 2*97 2198 2*99 2200 2201 2202 2203 2204 2205 2206 2207 2208 2209 2210 33866 33885 33905 33925 33945 D. 33965 33985 34005 34025 34044 34064 34084 34*04 34*24 34*43 34*63 34183 34203 34223 34242 3426 34282 3430i 3432i 3434* 3436i 34380 34400 34420 34439 34459 221234479 221334498 221434518 22*5134537 22*634557 22*7|34577 2218:34596 22*9 34616' 222034635! 20 21 20 20 20 20 20 20 20 20 20 20 h 20 20 20 20 20 20 20 20 20 *9 20 20 20 20 20 20 20 I 20 20 20 20 *9 20 20 20 20 *9 20 20 *9 20 20 20 *9 20 20 *9 20 20: *9 20 *9 20 20 *9 201 *9 222034635 2221134655 222234674 2223134694 2224134713 2225 34733 2226 2227 2228 2229 2230 34753 34772 34792 34811 34830 2231 2232 2233 2234 2235 34850 34869 34889 34908 34928 2236 2237 2238 2239 2240 2241 2242 2243 2244 2245 2246 2247 2249 2250 2251 2252 2253 2255 2257 2259 2260 2261 12262 2263 2265 2266 2267 2268 2269 2271 2272 2273 2274 34947 34967 34986 35005 35025 35044 35064 35083 35*02 35*22 35*4* 35*60 2248 35180 35*99 352*8 35238 35257 35276 225435295 353*5 225635334 35353 225835372 35392 354** 35430 35449 35468 226435488 35507 35526 35545 35564 35583 227035603 35622 3564* 35660 35679 2275135698 2276!357*7! 2277357361 227835755 227935774 228035793 N. 2280 2281 2282 2283 2284 Log. lD.; N. 35832 j 3585* 35870 228535889 2286 35908 2287 2288 2289 2290 35927 35946 35965 35984 2291 2292 2293 2294 2295 36003 36021 36040 36059 36078 22963609 2297 2298 229936154 230036173 2301 2302 2303 230436248 230536267 2306 36286 230736305 2308 2309 23*0 2311 2312 23*3 23*4 23*5 2316 23*7 23*8 2321 2322 2323 2324 2325 2326 2327 2328 233* 2332 2333 2334 2L3^ 2336 2338 2339 2340 35793 20 358*3|I9 9; *9! *9 *9j *9! *9 *9 *9 *9 18 *9 *9 *9 *9 *9 *9 *9 *9 *9 *9 18 2340 234* 2342 2343 2344 2345 36116 36*35 36192 36211 36229 36324 36342 36361 3638c 36399 364*8 36436 36455 36474 36493 365** 23*936530 232036549 36568 36586 36605 36624 36642 36661 6680 36698 *9 *9 *9 *9 *9 18 *9 *9 *9 *9 18 *9 *9 *9 18 *9 *9 *9 18 *9 *9 18 *9 19 18 *9 2329367171! 2330 36736|T) '^o >•* 36829T 36847 233736866 36884 36903 36922 234637033 ! g 2347 37°5*|I0i 234837070'- 37o88'j; 37*07:^ Log. 1).. 36922 o 3694°! 36959! 36977io 36996J I9 2349 2350 35* 2352 2353 2354 2355 37*25 37*44 37x62 37*81 37*99 235637218 235737236 2358 2359 2360 2361 2362 2363 236437365 2365 236637401 236 2368 236937457 2370 2371 2372 2373 2374 2375 2378 2380 2381 2382 2383 2387 2389 2390 2391 2392 2393 2394 2395 *91 18^0 2396 97 239J 37254 37273 3729* 373*o 37328 37346 37383 37420 37438 37475 37493 375** 37530 37548 37566 237637585 237737603 37621 237937639 37658 37676 37694 377*2 23843773* 238537749 238637767 37785 238837803 37822 37840 18 18 37858l8 37876 | 37894;:;! 379*2! 3793£!!i 37949Lg 379^!i8 I9r--|379H8 ^239938003^ ^1230038021 Vol. XII. Part I. M SiQ LOGARITHMS OF NUMBERS. | NL (2400 !2401 |24°2 24°3 24°4 24°5 24°7 Lou. jD-H_N. 1 Log iD.| N. Lo^.lD-j N. Log. 380211^12460139094! D.;! N. 3^°39 3 8° 5 7 38o75 38o93io 3liL2|j8 240638130^ >46139111 J252040I40I 258041162 1 T-T / ArRl iTT^O 38148} 2408381661‘g 240^-0'0■ 2410 <5»2°2j[8 6i! 25 21 '40! 5 7| j 258141179 *^8241196 41212 ;a246239i29! f2i22140175 12582 J8t24«339;46IL^3i40>9jILl83 '7! 2D4< ! 2641 246439i64!i8!2524|402°9ij . 2465 39182 j 425251402261 ' 2466 2467 39i99 39217 246839235 246939252 247°39270 242138399 242238417 242338435 242438453 242538471 242638489 242738507 242838525 242938543 243038561 243138578 43238596 243338614 243438652 24353865° 2436 38668 243738686 2438j387°3 18 2471 2472 2473 2474 24 I ^ 38 22O1 Q 24I238238!i8 t24I338256L8 l24l438274!i8 1 24I538292(i8 24I638310U 241738328^ 2477 24I838346; g 24I938364L 2420 38382^ 39287 39305 39322 3934° 247539358 247639375 39393 247839410 247939428 248039445 2481 2482 2483 2484 2485 18!|2526j40243 i8'2527!4°26i 15252840278 40295 403_i^ 40329 40346 40364 40381 40398 x? I8ii2529 7j|^ isN1 2532 17 1 18 I7< < i8;2636 2537 2538 8ii2533 ‘2534 2535 39463 39480 39498 39515 39533 24863955° 248739568 248839585 248939602 2490 39620 249139637 249239655 249339672 249439690 2495 39727 17 t Ri254° r7 18 i8;25464°586 243938721 244038739 244138757 244238775 244338792 2444!388io 2445, ‘ 249639724 249739742 249839759 249939777 lSl2500 39794 1250139811 39829 2541 4°4I5 40432 40449 253940466 !4°483 40500 18 r7 T7 x7 r7 18 17 17^ 17 258441229! 258514x246' 258641263 258 ~ ^58841296; 258941313 97 2590 4I33° 254240518 4°535 4°552 40569 2543 2544 2545 2547 2548 40603 4062 Is 25494o637 255° 2446 244/ 38846 38863 ^ 8j 2502 IZ 250339846 ,01250439863 lg 2505 39881 18 27 18 17 ll 18 !7 18 ll x7 18 *7 x7 18 40654 40671 40688 40705 40722 40739 2551 2552 2553 2554 2555 255640756 2557 2591 2592 2593 2594 2595 2596 2597 17 25984x464 41481 4T497 2599 2600 2601 Log. |D. 42160 42177 \l 264242193- 264342210 264442226 2645142243 2646U225916 N. Log. 1). 43x36jl6 43I52j1 ~ 412804 Z 2647U2275 4*347 4*363 41380 4*397 4*4*4 4*43° 4*447 4*5*4 260241531 *712603 4*547 260441564 260541581 260641597 2607 41614 260841631 260941647 261041664 ....40773 _ 255840790.7 255940807 256040824 2561 2562 2563 2564 *7 *7 40841 17 10858*7 4o875 40892 16 17 *7 *7 16 *7 *7 *7 16 *7 *7 *7 16 *7 *7 16 *7 *7 16 2648142292; 2649142308 2650142325 2700 2701 2702431 2703 43 *85'! 6 27044320116 *6: 16 16 16 16 270543217 >43233 43249 270843265 270943281 271043297 N. ! Log. D. 2760 2761 2762 2763 2764 2765 44091 44*07 44*22 44138 44*54 44*7° 276644185 2767I44201 2768:44217 2769 44232 2651 2652 2653 2654 42341 42357 42374 42390 l6 433*3 ■43329 . J43345 27*44336* 265 5 424061 1271543377 2656U2423 ^271643393 265742439 ° 27*743409 265842455 ° 27184342 265942472 * 27i94344i 266042488 t° 2720I43457 261141681 2612 41697 261341714 261441731 261541747 261641764 2617 41780 261841797 261941814 2620 41830 244838881 244938899 2450 389*7 38934 389521"o 38970'18 2451 2452 2453^ 24543898717 245539005, 245639°23. 2457i39°4* ■ 2458|390581 2459139076 2460139094 250839933 250939950 25*039967 25**39985 251240002 21:1340019 251440037 2515,40054 251640071 251740088 2621 41847 2622 41863 2623 41880 I262441896 {262541913 7 262641929 1812567 40943)17 2627 41946 25684096o|I7 262841963 256940976^6 262941979 *7 *7 16 *7 *7 16 *7 *7 16 *7 16 *7 *7 16 *7 266142504 266242521 266342537 266442553 266542570 266642586 266742602 266842619 266942635 267042651 256540909 2566 40926! *7 40993 17 2630 41996 42012 42029 42045 T„ 42062*7 41010 141027 I4io44 r4*o6i 4*078^ 1272143473 1272243489 1272343505 1272443521 '2725 43537 272643553 272743569 272843584 272943600 273043616 267142667 267242684 67342700 267442716 267542732; 273*43632 273243648 2733 43664 2734 4368o 273543696 267642749 267742765 267842781 267942797 268042813 2736437*2 273743727 273843743 273943759 274043775 16 *7 16 *7 16 *7 *7 16 *7 16 *7 16 268142830 268242846 2683 42862 268442878 2685I42894 6 iZlS 2771 2772 2773 2774 44248 N. t Log. 44264 44279 44295 443** 2775 44326 2776,44342 2777i44358 2778j44373 2779144389 278044404 2781I44420 2782I44436 78344451 2784:44467 2785 2786 2787 2788 2789 2790 268642911 268742927 268842943 268942959 269042975 ^2078 _ . . ^ 25774111* 251840106 257841128 25764*095 ' 263642095 25*9 2520 40123 40140 2579 2580 I263742111 263842127 263942144 274*4379* 274243807 274343823 274443838 274543854 274643870 274743886 274843902 2749 2750 439*7 43933 4I*45 1 ... 41162 *71264042160! 269142991 269243008 2693 43024 269443040 269543056; 43949 43965 4398i 43996| 282045025 2821 45040 282245056 282345071 282445086 2825I45102 2826145117 2827I45133 282845148 2829!45i63 2830145179 D. 2831:45*94 283245209 283345225 283445240 2835I45255 *5 16 *5 *5 16 *5 16 55 *5 16 *5 15 16 *5 *5 16 *5 ! 6,28364527 2837,452861 2838145301^ 2839453*7j 44483 44498 445*4 44529 44545 4456o 2791 2792 2793 2794 6 2795 2798 2799 447oo 2800 2801 15 16! 2797 16 16 16 16 16 *5 16 16 16 16 44576 44592 44607 44623 44638 279644654 44669 44685 447*6 4473* 280244747 2803 2804 2805 44762 44778 44793 2806 2807 2808 16 2%°9 28lO 269643072 269743088* 269843IO4 269943120 ' 2700431361 l 275* 2752 2753 21SA 2755 440* 2U1 27564402816! 2757440444 r! 27584405945 27 59 4407 5!! 6 276044091' 2811 2812 2813 2814 281 q *5 16 *5 16 16 15 16 16 *5 16 *5 16 *5 16 16 *5 16 *5 16 15 16 *5 16 *5 16 15 16 15 16 'J 44809 44824 44840 44855 J 44871 284045332 284145347 284245362 2843 45378 284445393 284545408 284645423 284745439,ic 284845454 0 284945469 285045484 285145500 285245515 2853 45530 285445545 285545561 285645576 28574559* 285845606 285945621 6 286045637™ 44886 44902 449*7 44932 44948 44963! 16 28i7 449791I? 286145652 2862 2863 2864 2867 2868 45667 45682 45697 286545712 286645728 45743 45758 16 *5 16 *5 *5} 286945773 287045788 16 2816 287145803 287245818 287345834 287445849 2875145864 287645879! 2877:45894! 0 281844994 > 2878.459091 3 281945010 287945924 3 282045025 3i|288o,i45939| 3 LOGARITHMS OF NUMBERS. 91 Log- 45939 45954 45969 45984 46000 288y46oi5 188^46030 288746045 288846060 288046075 289046090 289146io5 289246120 289346135 289446i5° 289546^65 D.| N 289646180 28q746i95 2898462i° 2899 46225 2qoo46240 290146255 j r 2902 46270Ir 2903 46285 j'r 2904 46300^ 2905 46315T j 2920 I s 2919 46523]^ 46538 292146553!r 292246568 2923 46583I5 292446598!^ I4 292346613 15 15 16 15 !5 !5 !5 I5 !5 !5 r5 !5 x5 !5 x5 15 15 !5 15 !5 194046835 2941'468 50 2942L4.6864 294346879 294446894 294546909 D.!| N. [300047712 ^300247741 3 30°3 47756 .I3004 47770 294646923 294746938 294846953 294946967 295046982 290646330!r 290746345 290846359 290946374!',- 291046389 TJ 2911 46404 ! r 29i2464I9Ir 2913 46434! r 2914464491^ 291546464 T3 291646479 29I746494ir 2918465O9 29 26(466 2 7 j 2927146642 •; 2928U66576 2929(46672^ x5 2951 2952 46997 470x2 Log. D. f^il3005 47784 295347026 47041 47°56 2954 2955 !5 55 J4 !5 J5 r5 I4I !5 ’4 x5 x5 M 295647070 2957I47085 2958I47100 295947II4i] 296047129 296147144 296247159 296347173 296447188 296547202 296647217 296747232 296847246 296947261T 297047276 J 2971 2972 2973 2974 2930J46687 2931(46702 2932467161 293346731!," 293446746!!^ 29354676i!i5 47290 47305 473I9 47334 297547349 2936I46776 293746790;,] 293846805^] 293946820;^ 2940468351 N. I Log. D. 300647799 ,1300747813 300847828 300947842 301041857 !2o6oi48 572 13061148586 !3o62l486ox 13063148615 I3064I48629 '3o65j48643j 301147871 1301247885 3013 47900 !30i4479i4 !3oi547929 "1306648657 5P0?7|4867i !5 H !4 I306848686 48700 48714 3069 13070 |3°7I 48728 307248742 !3°73 48756 307448770 307548785 3oi6j47943 3017147958 301847972 3019 3020' i3021 "302248029 302348044 1302448058^ 3025 48073 302648087 297647363i;p-o-^-o- 297747378 "1303748244 2978 47392t‘!I303848259 2979474O7 298047422t2 298147436^ 298347465J4 298447480,] 298547494T] 298647509 298747524!: 298847538,4 298947553!: 2990147567 t] 299147582 299247596,] 299347611^ 299447625,7 2995(47640,] 47654!,] *4 302748101 302848x16 30294813° 303048144 2999I47698]] 3000477121 H 3041 3°42 . „ 304348330 304448344 3045 48359 304648373 304748387 304848401 304948416 ^1310949262 :303I 48159 303248173 303348187 (303448202 303548216 ^ 303648230 303948273 304048287 308248883 3083 3084 307648799 307748813 307848827 307948841 ] 308048855 308148^69 48897 48911 308 5 48926 308648940 308748954 308848968 308948982 309048996 3091 49010 309249024 3093 49038 309449052 48302 48316 I4 3102 305o!48430 305x48444 3052148458 3053,48473 3054!48487 3055148501 3100 3x01 J4 !5 J4 I4 r4 J4 J4 !5 M I4 r4 J4 I4 I4 T5 I4 M J4 M 1 14 x4 T4 T4 15 r4 r4 x4 x4 x4 x4 *4 x4 x4 x4 x4 T4 3x2° 3121 3122 3I2349457 31244947i 312549485 N. Log. 494x5 49429 49443 312649499 3x27 49513 312849527 3129 3I3° 3I3I 49541 49554 49568 313249582 3i3349596 3x3449610 313549624 Log. |D. J024§!i3 S°2S%4 S02'04 502841 ^ 50297 5°3 11 3I3649638 3X3749651 3I3849665 , 3X3949679 ] 314049693 !3i9i!5°393 T/t;3i92 50406 T]i3I93!5°42o 413194 50433 309549066 309649080 309749094! 309849108; 4 3099491221] 49136 4 49I5° 49164 3I0349I78 3x0449192 310549206 310649220 3x0749234 310849248 311049276 31ii49290 311249304 3ii3493i8 3x14(49332 3x1549346 3116149360 3II7'49374 3I4I 3X42 49707 497 3X4349734 3x4449748 3X4549762 3156499x4 3X5749927 315849941 315949955 316049969 3x61 3x62 3x63 3x64 3165 3x66 312049415 3x4649776 3X4749790 114849805 314949817 315049831 3x5x49845 315249859 3x5349872 311:449886 315549900 3186 3x87 3188 3x89 3x90 5°325jT2 50338! 3 50352 50365 50379 N. ,3240 324X 3242 3243 13244 Log. ID. | N. 5x055 51068 5io8x 5x095 51108 32455x121 1930 3X95 Mr x4 T3 X4 x4 14 X4 x3 14 14 14 13 x4 14 14 13 14 x4 r4 x3 14 14 x4 13 x4 3i7x;5ox2o'4 3x7250x33 ," 3I73|5ox47|,4 3174501611 ] 3175:501741- 317650x88; 4 3177502021] 49982 49996 50010 50024 •5°?37 50051 3167 50065 3i68|50o79 3i69;5oo92 3170(50106 50447 3x9650461 (3X97 5°4741,1 50488 4 l3246|;ii35 h247i5Ix48|I3ll33°7 5X943 §248 5116214|!33o8 51957 l3249|5ii75! ]|'3309 51970 Log. 33005x851 I3301 51865 330251878 33°35x891 33o4 5i9°4 !33°5 5x9x7 ;325Q|511 3251I512021 !3 325215X215113 t4|3253 51228! 3 3I9^— 113 3i99505°x ,] 320050515 ^ 13201 3202 '3203 ^3204 3 205 50529 50542 50556 50569 50583 13206 3207 3208 3209 3210 32x1 3212 321350691 321450705 3215507x8,] 321650732 321750745 321850759 321950772 50596 50610 50623 50637 5065X 50664 50678 4 51983 3254 3255 I3256 3257 3258 5124214 5x255 51268 51282 5I295 325951308 3260I51322 3261 4262 3263 3220 50786 3221 50799 322250813 50826 C084O 50853 3223 3224 3225 3226 3227 3228 3229 3230: 50866 50880 50893 50907 50920 3II7:49374 ' 3x7750202 _ 32375x0141 “ 31x849388; 4 3i78l502i5j 3 3238 5x028: 4 3ii9;494o2i]—1 0 3x79150229 3180^50 2431 4 3237 3239 323X 3232 3233 3234 3235 323651001 5X33512 5i3fj;34 5x3621,] 32645x375!, 32655x388 3266 51402 32675x415 3268 51428 326951441 50934 50947!,, 509611 4 50974! 1 x 5^98714 ’3 5XOI4! 5X041 3270 3272 3273 3274 3275 328X 3282 3283 3284 3285 X286 3287 3288 3289 3290 3291 3292 j33XI 33X2 3313 33X4 33i 331 ;33X. L33x8 33i ’3320 5X996 52o°9 52022 52035 52048 6 52061 52075 52088 9 C2I0I 52114 (3321 3322 3323 138840 X4 J3 X3 X3 ,14 3324 32166 3325 52179 5X455 14 5I4o8;io 5148118 5x495 5x508 5x521 327651534 3277 3278 3279 3280 13 13 5I548;;4 5x5611 515741 5x587 5x601 5x614 5x627 ;x640 5x654 13 3 14 13 X3i 13 »4 51667 51680 5x693 5x706 51720 5X733 5x746 3293 5X759 3294 329551786 324051055 X4; 5X772 3296I5X799 329751812 329851825 3299I5X838 33o°:5x85i 3326 332752205 3328 3329 333° 3331 3332 3333 3334 3335 3337 3338 3339 3340 i334x 3342 3343 3344 3345 X3 13 X3 X4 X3 r3 X3 X3 X4 T3 X3 1S X3 r3 3346 3347 3348 3349 335° 52127 1:2x40 52153 52192 D. 14 13 X3 X3 13 13 x3 14 13 X3 X3 X3 X3 x.3 X3 X3 %4\ X3 X3 X3 X3 13 J3 X3 X3 l3 X3 52218 13 52231 X3 42244 J3 X3 X4 52257 52270 52284 52297 523x0 333652323 52336 52349 52362 2375 52388 52401 52414 52427 52440 52453 C2466 524791 52492 52504 3351 3352 3353 3354 3355 3356 3357 3358 3359 3360 52517 52530 52543 52556 52569 52582 52595 52608 42621 52634J3 M 2 92 LOGARITHMS OF NUMBERS. N. 3360 3361 3362 3363 3364 3365 3366 3367 3368 337° 3371 3372 3373 13374 3375 Log. 52634 5?647 52^60 52673 52686 52699 527H 52724 52737 3369 5275° 52763 52776 52789 $2802 52815 52827 D. 337652840 3377 52853 3378 52866 3379 3380 3381 3382 3383 3384 3385 3386 3387 3388 3389 339° 52969 52982 52994 53°°7 53°2o 3391 3392 3393 3394 3395 53°33 53°46 53°58 S30!1 53°84 3396 3397 3398 3399 34°° 3406 3 4° 7 3408 34°9 3410 52879 52892 529°5 52917 5293° 52943 52956 53°97 53110 53I22 53I35 53I48 53*61 *3 *3 *3 *3 *3 12 *3 *3 *3 *3 *3 *3 *3 *3 12 *3 *3 *3 *3 *3 *3 12 *3 *3 *3 *3, *3 12! *3 *3 *3 *3 12 *3 *3 *3 *3 12 *3 *3 *3 12 1342° 534°3 N. j Log. 342i 13422 3423 3424 3425 3426 !l34'27, '342853504 3433 3434 13435 3456 3457 3458 3459 3460 3401 340^53173 -j 12 53*99 12 34°3 34°4 340553212 53224 53237 53250 53263 53275 34** 53288 341253301 34*3 533*4 34*4 53326 34*5 53339 34*6 53352 34*7 53364 34*853377 34*9 5339° 342053403 534*5 53428 5344* 53453 53466 53479 5349* 3429 343° 343* 3432 53555 3436 3437 3438 3439 344° 344* 3442 3443 3444 3445 537*9 3446 3447 3448 3449 345 345* 34521 3453 3454 3455 3461 3462 3463 3464 3465 535*7 53529 53542 53567 5358o 53593 D. 3j 53605 53618 53631 53643 53656 53668 53681 53694 53706 53732 53744 53757 53769 53782 53794 53807 53820 53832 53845 53857 53870 53882 53895 539 53920 53933 53945 53958 53970 346653983 3467 3468 53995 54008 I3469154020 13470154033 !347* 54045 I3472j54°58 3473)54070 3474154083 3475)54095! *3 8*3 12 *3 12 *3 12 *3 12 1*3 N. 3480 3481 3482 3483 3484 3485 3486 3487 3488 3489 349° 349* 3492 3493 3494 3495 3496 3497 3498 3499 3500 3501 3502 3503 3504 350< 54295 54307 54320 54332 54345 54357 5437° 543^2 54394 54407 544*9 54432 54444 54456 5 54469 3506 3507 3508 3509 35*o 35** 35*2 35*3 35*4 35*5 35*6 35*7 35* 35* 3520 3521 3522 3523 3524 352 ‘ 3476:54108 3477154120! 3478'54*33i12 3479:54145 _ 3480154158) 3 3526 3527 3528 35 353° 353* 3532 3533 3534 3535 3536 3537 3 S38 353 3540 Log. 54*58 54*7° 54*83 54*95 C4208 54220 54233 54245 54258 54270 54283 N. Log. D.'| N. I Log. ;D.;| N. j Log. ll36oo!5j630) 3660I56348 .J360155642LJ366156360: I2 360255654L01366256372 ] !j?6o3'5s666 ^66^565^^, ; 3544 54949 JS604I55678 J 3664156396: j 3545 54962 j j 3605:5569* t J 3665156407 ,! 3546 54974 t '3606)5570312 3666156419 ;i 3547 54986 36071557*5 j 2 3667 5643 * ll 3548 54998 j J3608 55727 12 3668 56443 135495501* A 36095573912 366956455 ijjsiigi3! 55751123670 56467 355* 55035 I2'361* 55763 j 2 3671 56478 3552 55047 I,i36i255775I2 3672 5649o] 3553 55o6o 8 3613 5578712 3673 56502 j 1361455799 367456514 ^ 361555811 TO 367556526. Log. N. | Log. 'L '57°54lI2ij378o57749!I2i 57o66! 13781'57761'j! 57078LI3782 57772)I2. 57089’,.43783 57784 3784!5^795! 3785157807 57241 57252 57264 57276 57287 5448i 54494 54506 545*8 5453* 54543 54555 54568 5458o 54593 54605 . 54617 85463 9 54642 54654 54667 54679 5469* 54704 16 5 547 54728 5474* 54753 9 54765 54777 I5 35865546* J364656182 I3706 ^l3587 55473 TO 364756*94 IT 3707 5 or o_ '364856205^3708 oA/ir\ * 3709 -*58855485 ‘■I3648 56: 3589 55497 J J3649 562i7 J2 37°9 T2 359° 555°9 , 3650 56229 i2 3710 1359* 55522! 5 3651 56241 12 37** '' S5534iI2<36S2S62S3 i2 37*2 365356265 37x3 ' * O A r/I r O *7 T , 5479° 5481 548i4 54827 54839 *3 5485 54864 54876 9 54888 549oo 12 ;i3592 3593 3594 55546 T2 3597!55594 ... . I2 3598,55606) ^ 365856324 I2 3599|556i8j 365956336 136oo|5563oj I3660I56348 55558 !3654 56277 I2 ^ ^t j~^_t I2;3655 56289^ 37*556996 ojy-pj 12 36565630* u 37*657008 I2 3597:555943657563*2I2 37*7 QC08 cc6n6!12 365856324^ 3718 I2 37*9 3720 157553 ■57565 : 57576 '57588 1^7600 576*1 376957623 377057634 '377* !3772 3773 ,3774 ,3775 57646 57657 57669 57680 57692 3776I57703 3777577*5 377857726 377957738 3780 57749 379* 3792 13793 3794 3795 379657933 379957967 380057978 3801 3802 3803 380458024 380558035 13806 13807' 3808 3809 3810 3786 3787 3788 3789 :i2 578*84 57830 5784* 57852 379057864 3797 3798 57875 57887 57898 579*o 5792i 57944 57955 !38n 3812 381358127 3814 3815 3820 I3821 3822 3823 3824 3826 3827 828 5799° 58001 58013 58047 58058 C8070 58081 58092 58104 58115 58138 58149 1381658161 3817 38172 381858184 381958195 58206 58218 58229 58240 58252 382558263 58274 58286 58297 382958309 13830 II383* 3832 3833 3834 3835 58320 3836 3837 3838 5833 58343 58354 58365 58377 58388 58399 58410 383958422 3840)58435 Log'. D.; N. Loo. D. 384658501 384758512 384858524 384958535 3850 58546 385158557 385258569 385358580 38545859 3855 3856 3857 3858 3859 3860 58602 58614 58625 58636 58647 * 586.5912 2900 3901 3902 39°3 59I4° 39°4^59I5I 390559162 39o659I73 39°7 59i84 390859195 390959207 3910 59218 391159229 391259240 39I3 592SI 391459262 391559273 N. LOGARITHMS OF NUMBERS. Log. D. N. 1.0^. U.| N. | Log. D.l N. [ T 93 5977° 5978o 3962159791 11 58670 58681 IT 58692^ 58704 t j 587I511 3861 3862 3863 864 J6J 386658726 3867 5873712 3868 58749 i 386958760^ 387058771 11 3971 3972 3973 3974 59890 599°1 59912 59923 402060423 j 402160433 j 1402260444 j ! 4° 2360455 j 402460466 ^ [402560477 ] 402660487 JH&sss; ^ 4028:60509 ] ii||4O29;60520 11 39l6 59284 391759295 391859306 39I9593l8 392059329 392159340 3922 59351 3923 59362 392459373 3925 59384 11 387158782 387258794x1 387358805^ 3874 58816 387558827 3876 58838 387758850 387858861 387958872 926 59395 3927 59406 392859417 3929 59428 393°59439 393159450 393259461 393359472 393459483 3935 59494 397559934 397659945 3977 59956 "59966 59977 59988 3981.59999 398260010 398360021 398460032 398560043 408061066 (4081:61077 4082:61087 4083 61098 408461109 408561119 (408661130 408761140 408861151 408961162 1409061172 , N. I Log. (D.jl. N-l Log. ii).; N. Log. 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Log. ID. N. 63548 io 6355BU0 63568 63519 63589 63599 432663609 43 27 43 28 43 29 433° 4331 4332 63619 63629 63639 6A6J2 63659 63669 4380 4381 4382 4383 10 433363679 433463689 4335. 433663709 4337637j9 433863729 433963739 434063749 4341 4342 4343 63759 63769 63779 63839 65849 4355 4361 4363 436463988 4365 4366 4367 4368 4371 4372 4373 63699 434463789 434563799 424663809 434763819 434863829 4349 435° 4351 4352 4353 63859 63860 63879 435463889 63899 435663909 4357639T9 435863929 435963939 436063949 63959 436263969 63979 63998 64008 64018 64028 436964038 437064048; 640 c8 64068 64078 10 10 10 10 440464385 440564395 4374|64o88i 4375,64098 xo 1x0 64x47 64i57 64x97 64177 438464187 438564197 438664207 438/ 4388 438964237 439064246 4391 4392 4393 439464286 439564296 439664306 439764316 439864326 439964335 440064345 4401 4402 4403 4411 4412 4413 1415 437^641081 4377164118; *4437 437864128' J4438 437964I37Io 438064147 4439 4440 Log. D. 64217 64227 64256 64266 64276 64355 64365 64375 440664404 440764414 440864424 440964434 441064444 64454 64464 64473 441464483 64493 441664503 44x764513 4418 64523 441964532 4420 4421 4422 4423 4424 4425 64542 64552 64562 64572 64582 64591 442664601 44276461i 442864621 442964631 443° 4431 4432 4433 64640 64650 6466 64670 443464680 443564689 443664699 64709 647x9 64729 64738 IO;444Ii64748 I0 4442:64758 10;4443;64768 ,0:4444,64777, j m 4445:64787 IO|4446 64797 64807 64816 64826 64836 10 4447 io|4448 o 14449 to|445o 10,4451 10 4452 1014453 ioj4454 1014455 io!4456 xo'445/ 9 4458 10 4459 10 10 10 10 10 N. | Log. D. N. 64846 64856 64865 64875 64885 4460 4461 4462 64895 64904 64914 64924 64933 64943 64953 4463 64963 4464 64972 IO _ _ 4465 64982 IO 4525 65562 10446664992 10446765002 10 10 10 4487 4488 65205 448965215 449065225 L°g- 65321 65331 65341 65350 65360 65369 94-512 xo45i3 ioi45i4 45I5 xo u45x8j65495 q!45i9 65504 io452o|655I4 4521 65523 452265533 q4523S65543 4524165552 4468 65011 446965021 4470 65031 4471 65040^ 4472 65050jIO 4473 65060;^ 447465070; 4475 65079'Tn 4476650891' 4477650991 447S6i>°8,S 447965II8 4480 65128 ST8! 65137 4482 65147 4483 65157 448465X67 1045266557 452765581 14528 6559I :452Ql65600 65I96 4485 65I76,Tn 4486 65X86 I0 9 10 10 9 xc 10 44916 234 1449 2 65244 4493 65254 449465263 4495 65273 4496 65283 I4497 65292 1449865302 ,114499 65312 |45oo 65321 45i6 451? D. N. 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Log, 68124 68133 68142 68187 68196 68215 68224 68233 68242 48146825 4815 68260 4820 68305 4830 4831 4832 4840 484 4842 4443 68314 68323 68395 68404 68413 4833 68422 483468431 483568440 483668449 483768458 483868467 483968476 68485 68494 68502 6851 484468520 4845168529 4846168538 4847.68547 4848,68556 4849168565 4850)68574 485ij68583 4852 4853 4854 68610 485568619 68592 68601 485668628 48 C768647 485868646 485968655 486068664 4860 4861 9 4862 4863 68664 68673 6868 68690 486468699 4865:68708 4866)68717 4867168726 4868168735 486968744 487068753 487168762 487268771 487368780 487468789 4875I68797 4876I68806 487768815 487968833 488068842 4881 4882 4883 4884 68878 488568886 488668895 .488768904 94888689.3 '488968922 489068931 4891 4892 68940 68949 489368958 4894 68966 489568975 490: 0 490 7 949°8 4910 34911 14912 68851 68860 68869 489668984 489768993 489869002 489969011 490069020 69028 490269037 0 49°3 69046 o| 4904 69055 4905 69064 I4906 69073 69082 69090 3490969199 yll/ioTo69I08 69117 69126 g|49I3 69135 491469144 [4915 69152 ,4916169161 9 4917 69170 J 4918169179 q 49I9j69I88, ^492069197 14920169197 4921169205 (4922 69214 '492369223 492469232 492569241 LOGARITHMS OF NUMBERS. ~~N. Log, lD-1 m N. [ Log. D.; 492669249 492769258 ' 492869267 492969276 493069285 1493169294 ,.14932 693° 2 nj493369311 8 493469320 o493569329 9 493669338 o493769346 gl4938 69355 o493969364 n494o69373 J494 o4942 69381 69390 495169469 495269478 4953 69487 495469496 495569504 495669513 495769522 49586953 495969539 496069548 J494369399 | 494469408 494569417 494669425 4947 69434 4948 69443 494969452 495069461 496169557 496269566 496369574 496469583 496569592 49666960 1496769609 ’14968 69618 4969169627 4970I69636 '14971169644 4972)69653 4973:69662 4974:69671 4975169679 14976169688 i 4977169697 : 4978-69705 ol 4979 697 *4 (498069723 _ N. I Log. 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C28o 5281 1:282 5283 5284 5285 52867 5287 5288 5289 5290 5291 5292 5293 5294 5295; 52967 5297 5298 5299 5300 5301 5302 53°3 53°4 5305 53o67 53°7 53°8 53°9 '5310 5311 5312 5313 5314 5315 5316 5317 5318 531 5320 5321 5322 5323 5325 5326 5327 5328 5329 533° Log. |D. 72263 72272 72280 72288 72296 72304 2313 72321 72329 72337 72346 72354 72362 72370 72378 72387 2395 72403 7 2411 72419 72428 72436 72444 72452 7246c 72469 2477 72485 72493 72501 72509 725i8 72526 72534 72542 7255° 97 72558 72567 72575 2583 72591 72599 72607 72616 532472624 72632 72640 72648 72656 72665 72673 5331 5332 5333 5334 5335 5336 5337 5338 72681 72689 72697 72705 727I3 72722 72730 72738 533972746 534072754 N. 534° 5341 5342 5343 5344 5345 5346 5347 5348 5349 5350 5351 5352 5353 5354 5355 5356 5357 5358 5359 5360 5361 5362 5363 5364 5365 5366 5367 5368 5369 5370 5371 5372 5373 5374 5375 5376 5377 5378 5379 5380 5381 5382 5383 5384 5385 5386 5387 5388 5389 539° 5391 5392 5393 5394 5395 Log. D. 72754 72762 72770 72779 72787 72795 72803 72811 72810 72827 72835 72843 72852 72860 72868 72876 72884 72892 72900 72908 72916 72925 72933 72941 72949 72957 72965 72973 72981 7-2989 72997 73006 73OI4 73022 73030 73038 73046 73°54 73062 7307° 73078 73086 73°94 73102 73H1 73II9 73I27 73I35 73M3 73I5I 73159 5396 5397 5398 5399 54° 73j67 73x75 73i83 73I9I 73I99 73207 73215 73223 73231 73239 8 N. 5400 54°1 5402 54°3 54°4 5405 5406 5407 5408 54°9 5410 5411 5412 5413 54M 5415 5416 54J7 54i8 54x9 5420 Log. 73239 73247 73255 73263 73272 73280 73288 73296 733°4 73312 73320 73328 73336 73344 73352 73360 73368 73376 73384 73392 7340° 5421 5422 5423 5424 5425 5426 5427 5428 5429 543° 5431 5432 5433 5434 5435 5436 5437 5438 73408 734i6 73424 73432 73440 75448 73456 73464 73472 73480 73488 73496 73504 73512 73520 73528 73536 73544 5439|73552 5440173560 544i|73568 73576 73584 73592 73600 5442 5443 5444 5445 5446 5447 5448 5449 5450 5451 5452 5453 5454 5455 5456 5457 5458 73608 73616 73624 73632 73640 D. 73648 73656 73664 75672 73679 73687 13^95 73703 5459I73711 54601737x9 N. 737I9 73727 73735 73743 5460 5461 5462 5463 5464 73 751 5465 73759 5466 5467 5468 5469 547° 5471 5472 5473 5474 5475 5476 5477 5478 5479 5480 5481 5482 5483 5484 5485 739l8 5487 5488 549° 5491 5493 5494 5495 549674005 5497 5498 5499 5500 5501 5502 550 5504 5505 5506 5507 5508 5509 5510 5511 5512 5513 55M 55I5 Log. D. 73767 73775 73783 73791 73799 73807 73815 73823 73830 73838 73846 73854 73862 73870 73878 73886 73894 73902 73910 548673926 73933 73941 548973949 739^7 73965 549273973 7398i 73989 73997 74°13 74020 74028 74036 74044 74052 74060 74068 74076 74084 74092 74099 74107 74TI5 74i23 7413 7,4139 74i47 74I55 5516 5517 5518 5519 5521 N. 5520 5521 5522 5523 5524 5525 5526 5527 5528 5529 553? 5531 5532 5533 5534 5535 5536 5537 5538 5539 5540 74I94 74202 74210 74218 74225 74233 74241 74249 74257 74265 74273 74320 74327 74335 74343 743 51 5541 5542 5543 5544 5545 74359 74367 74374 74382 74390 5546 5547 5548 5549 5550 5551 5552 5553 5554 5555 5556 5557 5558 5559 5560 5561 5562 556'3 5564 5565 5571 74162 74170 74 *7 8i 74I86: 7 4194 Log. D.| N. 74280 74288 74296 74304 74312 74398 74406 74414 74421 74429 74437 74445 74453 74461 74468 74476 74484 74492 74500 74507 74515 74523 7453 74539 74547 5566 74554 5567 5568. 55697457s 557°74586 74562 7457° 74593 557274601 5573 74609 557474617 1557574624 ^5576 5577 5578 5579 5580 74632 74640 74648 74656 74663 5580 55'8i 5582 5583 5584 5585 5586 5587 5588 5589 559° 5591 5592 5593 5594 5595 5596 5597 5598 5599 5600 5601 5602 5603 5604 5605 5606 15607 5608 5609 5610 5611 5612 5612 5614 5615 5616 5617 5618 5619 5620 Log. D. 74710 74718 74726 74733 7474? 74749 74757 74764 74772 74780 74788 74796! 74803I 74811, 74819 74827 74834 74842 74850 74858 74865 74873 74881 74889 74896 74904 74912 74920 74927 74935 552i 15622 5623 5624 5625 5626 5627 5628 5629 5630 74943 7495° 74958 74966 74974 74981 74989 74997 75005 75012 5631 5632 5633 75020 7 5028 75035 75043 7505 75059 7 <5066 75074 563475082 4H5635 35636 35637 35638 75089 75097 75105 75H3 563975120 5640175128 746631 8 74671 8 74679: q 74687! 8 74695] 74702! 64975197 565075205 75213 7 C220 75228 75236 75243 5651 5652 5653 5654 5655 565675251 5657 5658 . _ 565975274 5660175282 N 5640 5641 5642 5643 75128 75!36 75I43 - 75I5I 564475!59 5645 5646 5647 75I74 . ,.75i82 564875189 Log. 75166 75259 75266 566175289 566275297 5663175305 5664175312 5665175320 5666175328 5667i75335 566875343 5669175351 567075358 5671 5672 5673 75366 75374 7538i 567475389 567575397 75412 75420 75427 5681 5682 5683 5684 5685 5686 5687 5688 567675404 5677 5678 5679._. . 568075435 75442 7545° 75458 75465 75473 7548i 75488 Q_ 75496 81568975504 8l|5690 7551 J5691 35692 15693 1569475542 8 755I9 75526 75534 35695 o 5696 05/597 85698 75549 75557 75565 7557 5699:7558o; 57oO|75587 N. 5700 5701 5702 5703 5704 5705 5706 5707 5708 5709 1Z10 5711 5712 5713 57M 5715 5716 57x7 57i8 57J9 5720 372i 5722 5723 5724 5725 5726 5727 5728 5729 5730 5731 5732 5733 5734 5735 5736 5737 5738 5739 574° 5741 5742 5743 5744 5745 5746 5747 5748 5749 5750 5751 5752 5753 1 / L°g- 75587 *15595 75603 7 c6io 75618 75626 75633 75641 75648 75656 75664 75671 75679 7 5686 75694 75702 75709 7571? 75724 75732 7574° 75747 75755 75762 75770 75778 75785 75793 75800 7 c8o8 75815 75823 75831 75838 75846 75853 7 5861 7 c868 75876 75884 75891 75899 75906 759I4 7592i 75929 75937 75944 75952 75959 75967 75974 75982 75989 5754,75997 5755176005 5756176012 5757,76020 5758:76027 5759;76o35 5760:76042 1 LOGARITHMS OF NUMBERS. ‘N. I Log. D. N. Log. D. N. j Log. N. 5760I76042 5761176050 576276057 5766 5767 5768 5769 577^ 76087 76095 76103 76110 76118 577476148 577576155 g: 577676163 57777617O 577876178 577976185 578076193 5781 762OO 578276208 076492 1 765OO 2 76507 3 76515 , 15824 76522 5 76530 6 76537 „ 7 76545 582876552 582976559 5830 76567 176574 276582 3 76589 4 76597 5 76604 | 583876626 5839 76634 588076938 5881176945 5882,^6953 ; 5883 76960 8 5884I76967 5885I76975 0:588676982 '588776989 'I5888 76997 81588977004 ^ ^1589077012 815891 77oi9 , 589277026 ^ : 5893 77034 589477041 3895I77048 5896177056 589777063 589877070 589977078 578376215 5784 76223 578576230 578676238 578776245 578876253 5789 76260 5790 76268 , 584076641 ^ 5900177085 176649 276656 3 76664 584476671 584576678 584676686 584776693 584876701 584976708 585076716 i 585176723 - 585276730 j 585376738 r 5854 76745 585576753 585676760 , 585776768 , 5858 76775 : 585976782 586076790 ?86~i 76797 5804 5805 5806 5.807 5808 2 76365 76373 76380 76388 76395 76403 7 5862 5862 5864 586 s- 5809764IO 581076418 c8n 5812 76425 76433 15867 , 5868 ; 5869 J5870 76805 76812 76819 76827 586676834 590677129 590777137 590877144 59°9 77I5I 591077139 5911 77166 59I277I73 59i3 77i8i 591477188 59I5 77I95 5940,77379 5941,77386 594277393 1S9437740I 215944.77408 7 '5945:774^5 I594677422 1594777430 :5948j77437 ,5949:77444 (595Qj77452 i595I|77459 (595277466 5953(77474 595477481 595577488 595677495 595777503 5958775io 595977517 596077525 596177532 596277539 596377546 596477554 59657756 596677568 596777576 596877583 596977590 597077597 76842 76849 76856 76864 581376440: 581476448* 581 576455) t 5816176462; 8 581776470 " 5818:76477 X 581976485 ^ 582076492 ' N- L°g- 600077815 ^ 600177822 600277830 600377837 600477844 77851 77859 77866 77873 77880 77887 601477916 77924 6016 6017 6018 601^ !i6o2Q 597677641 597777648 597877656 597977663 (598077670 5871 5872 5873. 587476893 (587 y 76901 58761769081 587 7.76916l 5878(76923 . ( 5879170930! Xj !'88o1!76938; 5936 77349 593777357 5938 77364 593977371 f94o 77379 ^ 5990 7 5991 I5992 5 (5993 ,|59,94 ,15995 598177677 598277685 I 598377692 r 598477699 , 598577706 598677714 ^98777721 598877728 5989 77735 77743 77750 77757 77764 77772 77779 599677786 . 5997(77793 |5998:778oi ' 5999(77808 6oooj778i5 7793 77938 77945 77952 77960 77967 77974 77981 77988 77996 78010 78017 602978025 7803 6031 6032, 6033 78053 6034 78061 6035 78068 6021 6022 6023 6024 6025L,, - ■ ■ 602678003 ' 608678433 603678075 6037 78082 6038 78089 603978097 6040 78104 60417811 6042 7811 6043 78125 604478132 6045 78140 6046 78147 604778154 6048 78161 604978168 6050 78176 605178183 I6052 78190 I605378197 *6054 78204 1605? 78211 16056(78219 16057:78226 .6058(78233 / (605978249 '1,6060^78247 Log. D. N. I Log. ID. 1 N. 1 Log. D 6i2o!78675! ;6i8o'79099; 6121 78682: ^ 618179106 606678290 606778297 6068(78305 60697831 6070(783 6071I783 6072(78333 '607378340 6074(78347 6o75I78355 607678362 607778369 607878376 607978383 6080 78390 608178398 608278405 6083 78412 608478419 608578426 6087 78440 6088 78447 6089784cc 609078462 6091 78469 609278476 6093 78483 6094 78490 609578497 6096 78504 609778512 6098 78519 609978526 610078533 6101 78540 610278547 610378554 610478561 6105(78569 610678576 610778583 610878590 610978597 J6II078604 ,611178611 21 611278618 7 6113 78625 2 6114178633 6115)78640 6116(78647 2 6117,78654 216118)78661 6119(78668, 6120:78675 1613878803 (613978810 ^614078817 (614178824 21614278831 7 614378838 614478845 614578852 614678859 6147 78866 614878873 614978880 6150 78888 615178895 615278902 615378909 615478916 ^5578923 615678930 )615778937 , 615878944 615978951 616078958 / 616679000 7 616779007 2 616879014 7 616979021 '17079029 , 5T7I79036 r 617279043 ; 617379050 m79057 579064 ,(r 78682] (6122(786891 7 618279113 2:6123786961 7 618379120 2:6124787041 ; 618479127 2 6125 787111 7 6185 79134 :6i26:787i8i / 618679141 216127:78725 2 618779148) . 612878732 2 618879155.' 216129^8739 ' 618979162,' '(613078746 ' 619079169.:y 1613^78753 :6191791761 ,613378767 2.619379190I ,613478774 2:619479197 ,613578781 ' 619579204 ^613678789 619679211 ''613778796 2 619779218 2619879225 2 619979232 2i 6200:79239 (6201(79246 '(6202(79253 6203:79260 6204:79267 6205 ;62o6 16207 79-74 79281 79288 620879295 620979302 621079309 ;62i6 79351 2 62i779358 2(621879365 2,621979372 21^2^ 795 79 (622179386 2,622279393 2,6223 79400 2 (6224 79407 7;622579414 2(62267942 2(622779428 '■622879435 '622979442 (623079449 617679071 7790781 ■ 879085 7 ,979092 ' 618079099 (623179456 2,623279463 2 62337947c : 16234 79477 ,1623579484 (623679491 I623779498 (623879505 623979511 624079518 Vox.. XII. Part I. 97 “nTT^j 6240 79518 I624179525 624279532 |6243 79539 P M4 79546 624579553 I6246I79560 j624779567 6248 79574 6249179581 6250179588 6251179595 6252:79602 6253 79609 625479616 625579623 ■625679630 625779637 6250 79644 625979650 626079657 626179664 6262 79671 6263 79678 6264 79685 6265 79692 6266 79699 6267 79706 6268 79713 626979720 6270 79727 627179734 0 27 279741 627379748 627479754 6275 79761 627679768 6277!79775 6278 79782 627979789 628079796 628179803 628279810 6283 79817 6284 79824 6285,79831 6286179837 6287,79844 6288 79851 628979858 629079865 629179872 629279879 6293 79886 629479893 6295 79900 629679906 6297 79913 6298 79920 629979927 630079934 LOGARITHMS OF NUMBERS. N 6300 6301 6302 6303 6304 16305 6306 6307 6308 6309 6310 TE 79934! 79941! 79948 79955 79962 79969 jD.i N. 63x1 6312 80017 63x380024 631480030! 6315 8003 7! 631680044! 6317 80051 g 16318 80058; '6319 80065! 7 6320 J0321 J|6^22 7^6323 J!63 24 6325 80072 079 80085 80092 80099 80106 632680113 ^6327, ^6328 7 6329 6330 80120 80127 80134 80140 6331 6332 6333 6334 6335 6336 6337 6338 6340 63 41 6342 6343 6344 6347 6348 6349 635° 6351 79975 79982 79989 79996 80003 80010 80147 80154 80x61 80168 80175 80182 80188 80195 633980202 80209 80216 80223 80229 80236 6345 80243 6346 80250 80257 80264 80271 80277 80284 80298 80305 80312 63^28029 6353 6354 ,6355 6356 6357 6358 j6359 6360 80318 8032 c 80332 80339 80346 J6360 E636i S16362 6364 6365 6366 6367 L°g' . 80346, 803531 80359' D.f N. 11 og' 636380366; 8o373j 80380! 387! .j 6420:80754 ^16421180760 5 6422180767 6423180774 bo 80393 6368180400 6369 6370 6371 i 6372 6373 6 638 6382 6383 6384 6385 6387 6388 6389 16390 i639; 6 7! 804.07 80414 80421 80428 80434 637480441 6375180448 6376180455 6377180462 637880468 6379 6380 6386 80523 >393 6395 66396 6397 6398 6400 6401 6400 6404 6405 6406 80475 80482 80489 80496 80502 80 cog 80516 80530 80536 80543 80550 80557 639280564 8057c 639480577 80584 80591 80598 80604 6399 80611 80618 80625 6402 80632 80638 8064 c 80652 80659 6407180665 ;64o8!8o672 6409*80679 64ioj8o686 6411180693 6412180699 6413180706 641480713 6415180720 6416180726 6417 80733 6418 80740 6419 6420 80747 80754 6424 6425 6426 64 6428 .,6429 j 6430 6431 6432 6433 6434 6435 6436 6437 6338 80875 6439 6440 /i6442 6443 6444 6445 80882 80889 80895 80902 80909 80916 80922 .,6446 6 6447 J64488 36449 " 3645c 80929 0936 943 80949 80956 J645i 7'6452 61645781003 ‘6458 81010 6459 810x7 6460 81023 6453 6454 6455 6456 6461 6467 6468 6470 6471 6472 6473 6474 6475 6476 6477 6478 6479 6480 80781 80787 80794 80801 80808 80814 80821 80828 80835 80841 80848 80855 80862 80868 80963 80969 80976 80983 80990 80996 81030 6462 81037 6463 81043 6464 81050 6465 81057 6466 81064 81070 81077 6469 81084 81090 81097 81104 Sim 81x17 81123 8x131 8ii37 81143 8ix5i 81158 Ulj N. | Loe. 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J6480I81158 J648181164 16482 81171 J648381x78 6 ^484|8ii84 ,..,64851,1191 J648681198 '11648781204 ZI648881211 !;6489 81218 i649° 81224 7;! 3649x81 2j ^1649281238 649381245 7|6494 8i25i ^16495 81258 ^649681265 1649781271 716498 81278: 3649981285 ^650081291* ^*6501 81298 71650281305 7'6503 81311 6j65°48l3l8 365°581325 1650681331 716507 81338 365°88x345 16509 81351 6510 81358 6651181365 ^6512 81371 7:65I48i385 616515 8x391 N. 0,654° 7.16541 76542 ^543 ,ji654- 81564! 81571 81578 rJ.t-t 81584 3654581591 L°g-1£ 8>558 6 6 654681598 616553 3655481651 ’6J53 ' I651681398 7 |65I7 8i405 6518814II 65>9 6520 6521 6522 6523 6524 16525 81418 8x425 6526 6527 8143 81438 8i445 81451 81458 81465 8147 6 528 81478 652981485 653081491 7653> 76532 6 i6533 6534 6535 6 65o 7 81498 8i5°5 81511 81518 81525 618153 '6537181538 653881544 6539 ,654° 8i55> 81558 6l65568i664 1655781671 655881677 6i65598 (6560 ~ 65638 656481717 656581723 6 c66|8i72o 6567|8i737 6568181743 65698x75° 657°i8i757 81657 6|°” P572 6573 6574 65758 !6 06181796 6577:8,803 6578 81809 7|6579l8x8i6 6580181823 6581I81829 6582:81836 '83l8i8 81763 81770 81776 8178 79° 42 659181895 659281902 6CQ2 8lCo8 j65948l9I5 i6595 8l92I 659681928 6597 8l935 6600:81954 660 x'81961 2660281968 ‘";66o3|8i974 660418198 660 t; * l\. j Log. |D.| N. | Log. 6606 81994 6607 82000 6608 82007 6609 82014 6610 82020 ,6611 82027 6612 82033 16613 8204c J6614 82046, 16615820c3 716617 82066 0ji66i8 82073 82079 1662082086 ^6621 8209 7|6622 82099 [1662382105 7|6624 8211 1662582119 '7|6626 82125 71662782132 016628 82138 7 662982145 71663082151 663182158 6632 8216 663382171 663482178 7 663582184 ^ 6636 82191 7 663782197 6638 82204 663982210 7 6640 82217 664182223 7 6642 82230 ^664382236 6584;8i849 7664482243 6585181856 7664582249 6586,81862 664682256 6587.81869 7664782263 658881875 ^664882269 659881941 16658182334 1659981948 2 6659182341 660081954 J6651 82289 7; 6652 82295 1665382302 716654 82308 665582315 ,6656823 7j 6657182328 ^6660182347 16660:82347 1666182354 1666282360 5«6638467 ^|j666482373 J|6665!S2380 ’Ntep, ^ 6667I82393 7!c668 82400 ^116669 82406 IY 7668982536 6!669o82j43 6698 ,7i6699 /:167 6670 6671 6672 6673 6674 667582445 6676 6677 6678 6679 82471 668082478 6681 6682 I6683 82497 668482504 6685 82510 6686 6687 6688 82517 82523 82530 6691 6692 6693 6696 6701 I6702 |67°3 !67°4 6705 6?°7 6708 ^1670982666 6710 6711 82413 82419 82426 82432 82439 82452 82458 82465 82484 82491 82549 82556 82562 669482569 669582575 82582 6697 82588 82595 82601 82607 82614 82620 82627 82633 82640 670682646 82653 82659 82672 82679 671282685 6713 82692 671482698 671582705 ]67i6;827ii '6717182718 ^671882724 ^67x9182730 6720:82737 LOGARITHMS OF NUMBERS. Log. 672082737 672^82743 6722,82750 6723g2756 6724182763 67 25*8 2769 672682776 672782782 6728 82802 672982795 ;^3° 6731 6732 6733 82808 82814 8282^ 6754,82827 ^735r2834 6736 82840 673782847 673882853 6748 82918 674982924 D.i N. Log. D.| N. 82789 6739 6740 6741 6742 6743 6744 6745 6746 , 6747829 82860 82866 82872 82879 82885 82892 82898 8i905 6750 8293° 6751 6752' 6753 82937 22943 82950 6755 6756 6757 6760 6761 6764 6770 6771 6772 6773 675482956 82963 82969 82975 675882982 6759 82988 82995 83001 676283008 676383014 83020 676583027 676683033 676783040 6768 83046 676983052 83059 83065 83072 83078 677483085 6775!8309i 677683097 6777*83104 6778,83110 6779,83 II7 6780183123 7 67828, 67838. 67848, 16785 67868 678 " 67888, 67898 67908. 6791 6792 6793 679. i6795 _ * 23 83129 V36 83x42 "13I49 83i55 6684° ^6842 '68-43 6844 6845 !3l6l •l68 3r74 3181 3187 83*93 83200 8.3206 *3 6846 6848 Log- D.Jj N. ' Log. 83506 835*2 835*8 83525 8353* 83.537 83544 684783550 83556 684983563 685083569 716796 8; 83219 6851 6852 6853 „57- 83582 83588 6854S3594 3225 83232 83238 98324. 83251 *83257 2 83264 383270 483276 583283 6,:68i.5 6856 "6857 83601 16858,83620 6i6859 83626 ^6860 J686I 36862 #863 3 6807 8. 6821 ^6822 6823 i6824 56825 , 6821 16827 168 28 ; 682i 5 6830 '683289 “3296 883302 '9 83308 833*4 183321 283327 383334 4 8334o 583347 6 83353 / 83359 18 83366 i983372 83378 83385 8339* 83398 83404 83410 16867 6868 683417 83423 83429 •983436 83442 683183448 6:6832:83455 ,1683383461 ^16835183474 ;6836:8348o '•---37497' ,•6838183493 |686483658 ,636 6866 6871 16872 6873 6]6876 6'6877 6881 16882 16886 83797 ^'688783803 5688883809 3688983816 6|689o83S22 83607 83613 83632 83639 83645 8365* 83664 83670 83677 83683 16869 83689 [6870 83696 83702 83708 837*5 1687483721 I687583727 83734 83740 16878 83746 1687983753 83759 83765 8377* 6883 83778 688483784 688583790 689Xi83828 689283835 6893 83841 689483847 689583853 J689683860 26897'83866 5689883872 J689983879 7690083885 .690083885 3690*83891 5690283897 5690383904 61:690483910 3690583916 5690683923 5690783929 169088393 3!69098394: 691083948 69*i83954 691283960 ,6913 83967 69*483973 69*583979 691683985 D.ji N. 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[D.; NJ ,116965 J6966 6*6967 84292 84298 , . . 84305 16968 84311 56969843*7 6970 697* 6972 6973 697484348 6975 6976 6977 6978 ,6979 ^6980 6981 6982 698., ^ 698484410 698, 6986 $6988 (6989 #993 ^16995 6! 6996 6997 6998 6:7ooi '7002 7003 7005 7007 7008 7009 7010 7011 ’0X2 6l7°!* 170*484597 370*5184603 1701684609 3701784615 0l7oi88462i 71 84628 84634 170*9 1702 I 84323 84330 84336 8434: 84354 84361 84367 84373 843 843; 8439 84398 84404 844*7 84423 84429 84435 8444 1699084448 c"1 6992 84454 84460 84466 (699484473 84479 84485 84491 84497 699984504 7000 84510 845x6 84C22 84528 700484535 8454* 700684547 84553 84559 84566 84572 84578 84584 8459' •O 84634J 84640I , 84646 84652; 4 846581 ' 84665 1702684671 2784677 28 84683 2984689! ) 84696) Uj02' ^7028 8, 84702 84708 _84714 1484720 584726 84733 784739 8 84745 984751 84757 84763 84770 84776 484782 ■584788 704684794 7047 84800 704884807 7049848x3 705084819 705684856 705784862 705884868 705984874 706084880 7061 84887 706284893 7063 84809 7064 84905 706584911 706684917 706784924 706884930 706984936 707084942 7071 84948 707284954 ; 7073:84960 7074184967! 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I 085370“ *85376 2 85382 3 85388 485394' 5854OO 85406 854*2 85418 7166 7*67 7168 6I7169 17*70 85528 85534 85540 85546 85552 85558 85564 85570 85576 85582 I7*76j85588 5 7I77f8i594 . i7i78,8 5600 ''7*7985606 ;712085248 r'718085612 -'7181 8 771828 j71®3S 85618 85625 8563I 7*8485637 £15 85278 pj 85 85643 7186 7*87 85649 85655 ' 7*888566 '{718985667 ’ 7*9085673 * 85679 2 8C685 38569I 485697 585703 ' 7*96:85709 'l!7*97!857*5 77198,85721 7199,85727 ’ .7200 85733 $9 C\CT\OnO\CN CnCNOn Q\^r OSO\C\CNO\ On CN |Q\ 0\0\0N0\C\ C\ 0\0\ a\. OnOnONOs 0\C\0\OnQ\ On ow ICO LOGARITHMS OF NUMBERS. N. i Log. jD. J N. | Log. 726086094 7200:85733 72°i|85739 720218574 72°3'8575 7204;837.L 72°5i85763 7206185769 72°7 85775 ,088578 85788 85794 / 7209 7210 7211:85800 72x2185806 7213185812 7214)85818 7221 7222 7223 7224 7225 )72I5 72x7 7218 72x9 7220 85824 721685830 85836 85842 85848 85854 85860 85866 85872 85878 85884 7226)85790 7227185896 7228 85902 85908 7229 7230 723T 7232 7233 85914 85920 85926 8593 2 723485938 723585944 7236 7237 7238 7239 724° 85950 85956 85962 85968 85974 724x 7242 7243 7244 7245 8^98 85986 85992 85998 86004 724686010 7247 86016 7248I86022 1249)86028 72,50186034 7251 7252 7253 7254 7255 86040 86046 86052 86058 86064 6 6 6 6 6 6 6 6 7 6) 6i 6)7271 7261 7262 7263 7264 7265 7266 7267 86100 86106 86112 86118 86124 86130 86136 7268:8614 7269J86147 7270:86153 86159 ^727286165 0 86171 86177 86183 7273 7274 6 7^75 7256)86070 7257186076 7258) 86082 7259) 86088 726o|36o94 727686189 7277 86195 7278 86201 727986207 7280 86213 7281 7282 7283 7284 7284 86219 86225 86231 86237 86243 7286 7287 7288 7289 7290 7291 7292 7293 7294 7295 4296 7297 7298 7299 7300 7301 7302 73°3 73°4 73°5 73°7 86249 86255 86261 86267 86273 86279 86285 86291 86297 86303 86308 86314 86320 86326 86332 86338 86344 86350 86356 86262 730686368 86374 7308 86380 86386 86392 86398 86404 86410 731486415 7315 86421 73°9 73H 7311 7312 7313 73J7 731686427 86433 731886439 731986445 7320 86451 7331 86316 6)7332S 7333 86528 7334 86534 733-5 8654° 734186576 734286581 6 7343 86587 734486593 734c86599 N. 7320 7321 Log. 86451 _ 86457 732286463 7323 86469 732486475 7325r-548 7326 86487 732786493 732886499 732986504 7330 86510 733686546 7337 86552 733886558 733986564 734086570 735186635 7352 86641 735386646 735486652 735586658 D 734686605 7347 86611 734886617 734986623 73 52 86629 7356 86664 7357 86670 7358 86676 73 ^9 86682 7360 86688 736186694 736286700 736386705 736486711 736586717 736686723 7367 86729 736886735 736986741 737086747 7371 7372 7373 7377 737?* 7379 7380 86753 86759 86764 73748677° 737586776 737686782 7398869 7399 7400 7401 7402 74°3 7404 7405 86788 86794 86800 86806 N. 7380 7381 7382 7^s3 73 4 73S5 Log. ID. 86806 86812 86817 86823 86829 86835 7386)86841 738786847 738886853 738986859 739086864 739186870 739286876i 7393 86882 739486888 7395 739686900 7397 86917 86923 86929 86935 86941 86947 86953 740686958 74°7 7408 74°9 7410 7411 74x2 74I3 74x4 74I5 7419 7420 74 21 7422 7423 7425 86894 86906 86964 86970 86976 86982 86988 86994 86999 87005 87011 741687017 7417 87023 7418 87029 87035 87040 87046 87052 87058 742487064 870' 742687075 742787081 742887087 742987093 743087099 7431 7432 7433 87100 87111 87116 7435 743487x22 87128 743687134 7437l87 H0 7438,87146 7439|87I5I 744087157 N. 7456 7457 7458 7459 7460 7440 7441 Log. 87j57 87163 744287169 7443) 87175 7444) 87x81 7445) 87186 7446187192 7447!87i98 7448 87204 87210 87216 7449 7450 7451 7452 7453 8725 87256 87262 87268 87274 7461 7462 7463 7464 7465 87280 87286 87291 87297 87303 746687309 7467 7468 7469 7470 7471 7472 7473 7474 7475 7477 7478 7479 7480 7481 7482 7483 7484 87221 87227 87233 D.j| N. | Log. 7454 87239 7455 87245 8?3i5 87320 87326 87332 87338 87344 87349 87355 87361 747687367 87373 87379 87384 87390 87396 87402 87408 874x3 748587419 74868742, 7487 7488 7489 7490 87431 87437 87442 87448 j749I 7492 17493 7494 7495 87454 87460 87466 87471 87477 749. 7498 749687483 87489 87495 74998750° 750087506 417500^7506 £7501)87512 £7562|875i8 6 750387523 47504)87529 675Q5 87535 6i!75o6.8754i 6)7507,87547 6)750887552 ° 7509,87558 75x087564 75ii'8757o 75x2187576 75I3i8758i 75i4!87587 7515!87593 D. 17516,87599 1751787604 6 7518 87610 6|75^9!876i6 '87622 7520 6p21 5P22 87628 87633 87639 87645 61752587651 5 6 6 6 6I7531 7532 (7533 7534 7535 752687656 87662 87668 87674 87679 7527 7528 7529 753° 87685 87691 87697 87703 87708 7536 (7537 7538 7541 7542 7543 7544 7545 754; 7548 7549 7550 7551 7552 7553 7554 7555 87714 8772 87726 7539 8773 754087737 87 743 87749 87754 87760 87766 754687772 87777 87783 87789 87795 87800 87806 87812 87818 87823 7556 7557 7558 7559 7560 87829 87835 87841 87846 87852 N. 7500 7561 7562 Log. jD.|| N. [ Log. D 87852) 87858 87864 7563:87,869 17564)87875 75658788 7576 7577 7578 75 7580 7566:87887 7567)87892 7568.87898 756987904 757087910 757 2 7572 7573 7574 7575 7581 7582 7583 7584 7585 5 6 6 6 6 5 6 6 6) 6 6j 5 «! 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OS ON OV^I ON On O.Oi Os OS Sj-. Q\ Q\i Q\Ln Os Q\ Q\ Ssi Q\ QMo Q\ OMo Q\ Os^n Q\ CMn ON ON Q\^n Q\ Q\ Qs’-^i LOGARITHMS OF NUMBERS. ioi 7680 7681 7682 7683 7684 7685 N. Log. D 88536 88542 88547 88553 88559 88564 7686,88570 7687188576 7688,88581' 7689:88587 7690I8859 N. Log. D. 7740588874 774i|8888o 7742,88885 17743188891 ^7744:88897 ^7745188902 7691 88598 769288604 886x0 88615 88621 .693 7694 7695 7696 7697 7698 7701 770288660 3 7762,88997 ‘ r s fa s- !o 7703 7704 88672 7705! 886771 7706 88683 88689 88694 887OO 88705 77°7 7708 7709 7710 7716588739 7717588745 77x888750 771988756 7720J88762 8862. 88632 88638 769988643 7700 88649 88655 88666 7711 712 :77I3 77r4 88711 88*7x7 88722 88728 77I588734 7721188767 7722,88773 7723i88779 7724,88784 7725^88790 ^7746588908 ^7747188913 617748188919 6!|7749l88925 pl775° 88930 6'775^ 6 7752 5' 6 6 7756188964 ^757588969 7758588875 7759188981 7760,88986 17763,89003 7764 89OO9 5'776 9,89014 772688795 7727,88801 7728,88807 7729I88812 773o'888t8 773i]88824 773288829 7733|88^35 7734,188840 ^73588846 88852! 888.57 88936 . .1 88941 7753|88947 7754i88953 7755188958 N. Log. 7761588992 ,7766,89020 7767(89025 5! 7768)8903*1 C)l7769i89037 5 7770(89042 6 J777i;89°48 6i 7772589053 5: 7773|89059 6,7774|89064 6, 7775:89070 5,7776589076 6 7777I89081 5 777889087 S9092 89098 ^ 7779 6,7780 5,’ 7781 89104 6 77825S9109 6i7783|89II5 5,7784189120 6; 7785589x26 5,7786589131 67787:89137 65778889143 89I48 5,|7789 6,i7790 7739 7740 6:i °i|779I 5|j7792 6,7793 5(7794 6 7795 89J54 7736 7737 773888863 88868' 88874! 89I59 89165 89170 89176 89182 6,779689187 5:7797 89193 6 7798 89198 7799^9204 7800 89209 78^0*89209 780x189215 7802589221 7803589226 780489232 780489237 7806589243 6 7807(89248 6 780889254 7809,89260 ^ 7810(89265 7811I89271 781289276 7813189282 7814(89287 781589293 Dj N. I Log. 1). 781689298 7817 893°4! 781889310I 7819893x5, 7820893211 7821 89326! 782 7823 7824 89332! 8933. 89343 7826 7827 57828 782589348 89354 89360 89365 78298937 7830189376 783 7832 89382 89387 89393 783489398 783 89404 89409 894t5 89421 89426 894 7836 J78371 ,17838 ^7840 , . i 7841589437 5(784289443 4 7843 89448 5 7844;89454 '7845189459 7851589492 7852,89498 7853589504 , 7854,89509 ■| 7855,89515 ,(7856.89520 ,17857,89526 785889531 7859,89537' 786089542 7860589542 7861589548 7862(89553 7863;89559 7864'89564 7865I895 6 6 5 6 5 7866(89575 ^ 7867(89581 ° 7868189586 7869 6l5ZS 7871 6 7q^2 r 7873 6?874 5 7875 6 6 5 6 89592 89597 11793° 89927 7877 7879 8960^ 89609 89614 89620 89625 78768963 89636 78788964 89647 7880(8965 7881(89658 7882I89664 7883189669 7884189675 788589680 788689686 7887 89691 7888 89697 ,7889 K 7890 89702 q6o8 7891 892 7893 7894 897I3 S9719 89724 89730 (7897 ' 7898 57899 17900 6!7901 17902 5; 79°3 51 789589735 7896 8974 89746 89752 89757 89763 89768 89774 89779 790489785 5(790589790 17906 89796 89801 89807 89812 89818 89823 89829 89834 89840 5|79q7 i79°8 5|79°9 u 791° 7911 7912 7913 79T4 , . 791589845 >79x6!8985 7917(89856 6 79i8;89862 '791989867 7920(89873 N. 1 Log. D. 792089873 7921:89878 7922:89883 7923,89889 792489894 792589900 792689905 (792789911 ,|7928 89916 1792989922 89933 89938 89944 793489949 793589955 ^7933 5 6! $7937 >938 $7939 1794° 89988 89993 89998 794490004 794590009 7941 7942 7943 79469001j 794790°2o 794890026 79499003 xj 755090037 N. j Log. .jD, 798090200! 798x;902o6{ 7982'9Q2i 1 21' 7983(902 , 798490222 ^7985:9022, 7986(90233 798790238 | (8047 .(793689960 89966 89971 89977 89982 5 7988:90244 i 798900249 517990(90255 7991(90260 7992,'90 266 j7993li90271 17994!90276 79959028 5(799690287 799790293 799890298 795190042 79529°°48 795390053 795490059 7955 90064 79 c690069 795790075 795890080 795990086 796090091' 796190097 796290102 5( 7963 90108 6 796490113 5179659009 7900(90124 7967:90129 7968:90135 7969:90140 7670I90146 797I9OI5I 797290157 707390162 7974(90168 797590173 797690179 7977(90184 797890189 79799OI95 798090200 7999 8000 9°3°4 9°3 8001 8002 8003 90314 9032 90325 5 6 5 5 6 5, 6L—, 8oo6903^._ 5 800790347 61800890352 800990358 801090363 (80049033 800590336 801190369 801290374 8013 90380 801490385 801590390 801690396 , 801790401 5} 8018904 802690450 802790455 ■ 802890461 $ 802990466 1803090472 803T . . 7 801990412 802090417 1802190423 802290428 239°434 802490439 802590445 8032 8°33 ;34 8035 90477 90482 90488 90493 90499 803690504 803790509 803890515 803990520 804090526 N. 18040 8041 18042 (8043 (8044 £|8o45 [8046 ,8048 8049 ,8050 Log. 1) 90526 90531 90536 90542 9°547 90553 90558 90563 5U— 6;8°5 c|j8°5o - $,8054 9 i|8o55 90569 90574 90580 90585 2 90590 90596 601 90607 8057 8058 9061 9061 90623 8061 c, 8062 g' 8063 806^ 65 8066 00666 S067 9067 8068 90677 i8069 90682 !8070 90687 5| !j 8059 90628 8060 90634 . 639 90644 006 CO 90655 90660 8c I? 8071 90693 8072 90698 807390703 8074 90709 807590714 8076 90720 8077 90725 8078 90730 807990736 8080 90741 8081 90747 r 8082 $0752 'j 8083 90757 1 8084 90763 8085 90768 99 8100 N_ 81009 8101 81029 8103 8104 Log. 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I N. 1 Log. |D. 1 N. j8160*91769 18161:911741 ^ 816291180! 8i63'9ii85 816491190 816591196 816691201 8167191206 8168,91212 8i69'9i2i7 817091222 8x7i|9i228| 8i72|9i233 739i23* 8i7419i243 8i75!91249 8176U1254 8i77 9I259 8178I91265 8i79|9i27° 8180I91275 Loi 822091487 8221 91492 8222I91498 8223*91503 6224 91508 I8225I91414 D] 1 61 6 N. 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LXj N. 8400(92428 (8401:92433 8402’92438 84°3'92443 '8404 9 2449 840592454 :84°6|92459 ‘8407 92464 '8408 92469 84o<>:92474 |84ic'9248o ,8411192485 *841292490 8'84x3^2495 2;84i4925o° 6 04i5(92505 84i6;925ii ;84i7l925i6 18418192521 S8419I92526 842092531 92252 92257 92262 92267 92273 92278 92283 837392288 8374 8374 92293 92298 1837692304 I837792309 92314 92319 8381 ,:8h ^8383 3 83S4 6 Mi |!8386 -^8387 -■I8388 5I 838.9 8390 :8378 18379. 838092324 9233° 92335 92340 92345 92350 ^842192536 •’I842292542 ^18423,92547 '424I92552 425:92557 8426(92562 . 8427)92567 8428:92572 f42992578 (8430 9258.1 (843192588 843 ,843692614 ^8437:92619 918438192624 r 843992629 844092634 92355 92361 92366 92371 92376 5 844 9 8442 8443 9^65^, 92645 9265 844492655 j8445 18336192096 '8337(92101 ,8338 921061 8339 921111 834092117, ^8391 92381 •518392J92387 f |8393j92392 91839492397 0.1839 51924021 ^83961924071 9 ,8397192412; f ,8398.92418; >8399,92423! 0;,8400 92428: 8447 8448 ■5 41 .18450 6! 8451 9266; 44692665 L°a- 92737 846c 8461 92742 846292747 8463 92752 8464 8465 92758 92763 846c 8467 9 84689 ^4699 '8470 8471 8472 8473 8474 8475 8476 8477 D.'l N. i Log. 92768 . 773 92778 _ 7»3 92788 92793 92799 9280 92809 92814 92819 92824 847b 92829 847992834 8480 92840 (8481 (9284 5 848292850 5 8483(92855 8484192860 84s5 8486 8487 8488 '"84899 9286 5 .8490 1S492 8493 8494 18495 8496 8497 92870 92875 92881 886 92891 926' 92675 92686 92691 845292696 7I8453I92701 %454 92706 7[|8455!927ii J845692716 ^8457192722 18458,92727 3i8459;92732 0 846092737 5 5 5} 6' 5 5 5 5 5 5 6 5 5 5 $ 8506 i|8507 j850g [8490 185OO 85OI ]8502 8503 8504 8505 92896 9 2901 92906 92911 92916 92921 .. . 92927 84989293 c 92937 9£-942 92947 92952 92957 92962 92967 8510 9 92973 92978 9298: 92988 U J85 20,95044 ■;| 852,193049 •’■852293054 8523 93059 ,1852493064 <’525193069 8526(93075 8527i9308o ^8528*93085 r'8529:93090 8580:93095 853 1 (93 100 853293io5 853393110 853493ii5 8 N. 1 Log. 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(iLpESL | Log. jD. 888094841 888194846 8882'9485i 8883'94856 8884'9486i 8885:94866 94699 94704 94709 94714 8855947i9 94724 94729: - 8858 94734 4I8859 94738 ^i|886o;94743 8804 94468 880594473 88o6l94478 88o7j94483 8808194488 880994493 881094498 8811 8812 8813 8814 8815 !88i6 94503 945°7 94512 94517 94522 94527 886194748 8862194753 ~ 8863i94758 r 8864:94763 8865,94768 88661947/3 886794778 5| 8868 94783 0 8869:94787 ^887094792 •4887194797 ^;8872!948o2 %873j948o7 o|!8874;948i2 ^l8 8 7 5:94817 5 %817 9453 2 tj 8818 945371 r',8819945421 1,8820:9454 88869487 8887:94876 888894880 8889‘94885 889092890 I889194895 889294900 889394905 ,889494910 ; 8895:94215 7I f |8876!94822 %877!94827 %8 7894832 ^8879:94836 8880:94841 894095134 894195139 7:8942 95 x43 •;8943'95i48 •789449J153 ^,8945'.95i58 J;8946,95163 i8947;95I68 4; 8948195173 '7!8949!95177 ^ 8950:95182 900095424 o|9ooi|95429 ‘+9o°2|95434 9C03:95436 900495444 9005I95448 889694919 889794924 8898,94929 18899:94934 118900:94939 11890 i!94944 I8902I94949 ■71!8 9° 31949 54 11890694968 I890794973 890894978 t s9-y I8910 h11 489x2 94983 94988 511 89x3 89x4 5! l!89X5 950i >916 I891795022 0 891895027 r 89X995032 0;|8920 95O36 94993 9499s 9 coo2 9500 950x7 I8921 5I 922 418923, 'r^92Al9S°5^ 18925|95o6 ,95041 95046 9505 ,8926195066 -8927 95071 48928195075 8929^5080 018930:95085 Ji;893i|9 C090 ^893 2j9 5095 58933i95XOO •78934(95105 -1:893 $j9 5109 '8936:95x14 8937i95xi9 8938195124 8939;95X29 8940,95x34 8951 8952 95x87 95192 895395X97 89 5495202 895595207 895695211 895795216 895895221 895995226 8960952 18961 95236 89629524c !8963 95245 8964195250 95255 9oo6,95453 9007:95458 900895463 9009 '9060195713 0 9061:95718, ^‘9062195722 r:9o63!95727 ^‘9064:95732 ? 9065:95737 95468, 90x095472 90HI05477 9012 9066:95742 ,:9o67i95746 0 9068 9575 0 9069,95756 ],9c7o:95761 41907 xi95766 95482, 7'9072195770 90x395487! 9014 90X5 95492 95497 4907395775 r 1907495780 9OI6955OI 90X7 95506 90X8955 '90X9 9020 -i 4 9075 ,95785 896695260 896795265 897295289 8973 8974 [8_9 8968 8971 95270 896995274 897095279 95284 95294 95299 5 95303 j8976953o8 8977 8978 8979 8980 953X3 953lS 95323 95328 8981 8982 8983 8984 8985 8986 8987 8988 8989 95332 95337 95342 95347 953 52 95357 9536i 95366 95371 899095376 8991 8992 9538x 95386 955x6 95521 9021 9022 9023 9024 '9025 9026 95525 95530 95535 95540 95545 49076 49077 •>l9078 95789 95794 95799 I9079 95804 19080 '9081 9082 9083 9084 9085 95809 95550 902795554 r 9Q_35 95593 9028 95559 902995564 903095569 9°31 9033 903.1 9037 95574 903295578 95583 95588 903695598 95602 903895607 90399561 904c95617 904X 9°4 2 9043 904495636 904595641 904695646 95650 95655 95660 .905095665 9047 9048 9°49 8993 95390 899495395 8995 954OG J9051 4:9052 9562 9 5626 95631 5405 8997!95410 8998,954x5 8999i954X9 900C95424 95670 ... „ 95674 , 9053 95679 9054195684 19 . 7i,9055195689 I905695694 19057:95698 19058,95703 19059^95708 •’j,9o6o:957i3 908695837 95842 95813 95818 95823 95828 9583 9088 95847 90899585 909095856 909X 9092 9100 9101 9102 9103 9x04 9586 95866 90939587 909495875 9095 95880 909695885 90979589° 909895895 909995899 95904 95909 959X4 959x8 95923 910595928 910695933 95938 9 594 2 95947 95952 9x07 9108 9x09 9110 9^95957 9112I95961 ,,91x3,95966 19114j9597i I91X 5)95976 19116:95980 fb117 95985 5c9xx 8(9599° l9x 1995995 4:9x20,95999 104 LOGARITHMS OF NUMBERS. N. 9120 9121 912296009 9I23 912496019 912596023 912696028 912796033 912896038 912996042 913096047 9I3I 913296057 96061 96066 9135 96071 9T33 9*34 913696076 9137 96080 913896085 9T39 9140 95999 96004 9141 9142 9 M3 9144 9146961 9M7 9M8 9M9 9150 l9I5I 9I53 :9I54 9160 9161 Los. |D. 96014 96o52 96090 96095 96099 9610 96109 96114 914596118 96128 96133 96137 96142 96147 96152 96156 96161 915596166 915696171 915796175 915896180 915996185 96190 96194 916296199 91639620-4 916496209 916596213 916696218 916796223 916896227 916996232 917096237 917196242 917296246 917396251 917496256 917 596261 ^917619626 '9177I96270 9178196275 917996280 9180196284 59191 9192 N. 9180 9181 9182 9183 9184 9185 9186 9187 9188 9189 9i9° Los- D. 96284 96289 96294 96298 96303 96308 96313 96317 96322 96327 96332 96736 96341 9i93 96346 •JI9i949635° ‘ 9i9596355 919696360 9X9796365 919896369 919996374 920096379 920196384 920296388 920396393 920496398 920596402 920696407 920796412 020896417 920996421 921096426 921196431 921296435 921396440 921496445 921596450 921696454 921796459 921896464 921996468 922096473 922196478 922296483 922396487 922496492 ^922596497 922696501 922796506 922896511 922996515 923096520 9231 9232 9233 9234 9235 9236 9238 96525 9653° 96534 96539 96544 _ 06 C48 ;923796553 96558 923996562 924096567 9240,96567 ^9241196572 .9242196577 9243!96581 924496586 96591 96595 96600 96605 96609 96614 9^619 5 5 5 4 5 5 5 4 5 5 4 „ 519 254 5i9^ 9256 4I9257 N. | Log. 9245 9246 9247 9248 9249 9250 9251 D. 925296624 9253 96628 96633! 966381 96642! 96647! 5j9258 966 C2i 49318^6932 5'9259 " '' 9260 9261 ^19262 ;9263 9264 '9265 9266 9267 19268 5 4 5 5 5 4 5 5 927° N. 9300 9301 !93°2 93°3 93 °4 93^5 L°g- 1D- 96848 96853 96858 96862 96867 96872 9306 9307 9308 93°9 9310 9311 9312 96876 96881 96886 96890 96895 96900 96904 931396909 96656. 51931996937 96661; ^932096942 96666) 4‘9321 5 ;93 22 5:9323 96670} 96675; 96680! 9668 5! 966S91 96694 96699 5,93 24 96960 4:9325196965 5:9326 9697° 9269 96703 96708 9271 9272 927'3 9274 9275 9276 927796741 4 5 5 5 4 5 5 4, c 9279 ^ 9280 5 4 5 5 4 5 5! 967M 96717 96722 96727 96731 96736 9278 9281 9282 928 9284 9285 96745 96750 96755 9286 9287 9288 9289 cj9290 19291 9292 5 4 ^9294: 5i9327 4:932896979 96759 96764 96769 96774 96778 06783 96788 96792 96797 96802 96806 96811 9293 96816 96820 4 929596825 ,19296196830 59297I96834 419298196839 1929996844 9300 96848 93 M 9315 9316 96914 96918 96923 931796928 96946 96951 96956 96974 5:93 29 5 933® 4'933’ 5;9332 5j9333 4'9334 5L9335 5 9336 4'9337 5 9338 5!9339 4,934° 5I9341 9342 96984 96988 96993 96997 97002 97007 97011 97016 97021 97021c 97020 9703 c 97030 97044 5i9343|97°49 9344j97°53 9345197058 9346197063 9347|07°67 9348I9.7072 9349 97°77 935° 07081 9351 97086 935297090 9353j97°95 9354j97IO° !93X5|97104 93 56I9 7109 9357i97II4 9358197118 N. 9360 9361 9362 9363 9364 9365 9366 ^367 9368 9369 5 937° 4 93 71 ‘ 9372 9373 9374 9375 97128 97132 91*31 97M2 97M6 91*5* Log. D. 91*55 97160 97i65 97i69 97174 97179 97i83 97188 97192 97197 9381197225 9382.9723° 9383:97234 9384I97239 9385:97243 9386;97248 9387I97253 9388'97257 9389!97262 9390,91261 4 93919727! 519392 5 9393 4 5 5 97276 _97280 939497285 9395197 29° 9396|97294 I 9397i97299 939897304 9399973°8 040097313 937697202 9377'972o6 9378i972n 9379,97216 9380,97220 9401 9402 9403 9404 9405 9406 94° 9408 9409 !94i° 9411 9412 9413 19414 0415 97317 97322 97327 97331 97336 97340 97345 9735° 97354 97359 97364 97368 91313 97377 97382 9416:9738 9417 0739 s 9418 97396 94I99740° 942097405 N. 9420 Log. D. 974*5 9421197410 9422 9423 9424 9425 9426 9427 9428 9429 943° 9431 9432 9433 9434 9435:97474 9436 9437 9438 9439 9440 9441 9442 9443 9444 9445:97520 9446 9447 9448 9449 945° (9451 9452 9453 9454 9455 9456 9457 9458 97414 974M 97424 97428 97433 97437 97442 97447 9745i 97456 197460 97465 9747° 97479 97483 97488 97493 97497 97502 97506 97511 975i6 97525 97529 97534 97539 97543 97548 97552 97557 97562 97566 9151* 91515 97580 9459 97585 9460 9461 9462 9463 9464 9465 i 9466 '9467 9468 9469 2470 9471 9472 9473 9474 9475 97589 97594 97598 97603 97606 97612 97617 97621 97626 97630 97635 9476 947 9478 9479 9480 97640 97644 97649 91^53 97658 97663 97667 97672 97676 07681 •*’9486 ..9487 6 '9488 4t 3 9489 97722 N. 9480 9481 9482 9483 Log. D. 97681 97685 97690 97695 948497699 97704 97708 97713 97717 949° 97727 9491 9492 9493 9494 9495 '9496 9497 3 9498 ' 9499 9500 97731 97736 97740 97745 91149 9501 9502 9503 19506 . 9507 5 co8 '"9509 9510 95 M 9521 9522 9523 9524 9525 97754 97759 97763 97768 97772 97777 97782 97786 95°49779i 39505 97795 97800 97804 97809 97813' 97818 97823 97827 9511 9512 95i397832 97836 ^951597841 951697845 951797850 951897855 951997859 952097864 97868 97873 97877 9788 97886 97891 97896 N. 954° 9541 9542 9543 9544 9545 97955 97959 97964 97968 97973 97978 9546 9547 9548 9549 .9550 9551 9552 9553 9554 9555 9556 ;9557 Log. 97982 97987 97991 97996 98000 98005 98009 98014 98019 98023 98028 98032 ^955898037 M9559j98c4i •L!956o;98o46 5!:956i 980 co 98055 98059 08064 4H9565 98068 5j!9562 ^19563 %566 98073 fes 9526 9527 952897900 952997905 rt,9530 97909 4^3' 19532 J9533 5! 19534 979M 979i8 97923 97928 98078 98082 956998087 9570I98091 95 7i 198096 957298100 :9573'98io5 9574 9575 98109 98114 4! 5i 5i 4| 5| 4 5 V>576|98u8 ^19577198123 3 9578 98127 'L9579 98132 5,9580198137 :!958i|9bi4i 5 9582198146 9583198150 ..958498155 f; 9585’98i 59 19586198164 4! 9587 98168 19588.98173 5',958998177 959o:98i82 %535|9793 '9 S3691931 9794i 97946 91950 91955 4I ''9537 59538 T9539 ■i!!954c 19591198186 9s92 08191 9593'98195 9594:98200 9595!98204 959698209 9597 9598 9599 9600 98214 98218 98223 98227 i LOGARITHMS OF NUMBERS. 10 960098227 960198232 960298236 960398241 960498245 960598250 N. Log. D. 960698254 960798259 96089826 960998268 961098272 961198277 961298281 961398286 961498290 961598295 961698299 961798304 961898308 961998317 962098318 962198322 962298327 9622 98351 962498336 96259834° 962698345 962798349 962898354 962998358 96309836.' 963198367 96329837 96339837 963498381 963598385 963698390 96379839. 963898399 96399840. 964098408 96419841 964298417 964398421 964498426 964598430 N. ■I 965° 9651 9652 9653 964698435 964798439 964898444 964998448 96^0 9845: 9655 9656 9657 Log. D.'i N. 98453 98457 98462 98466 965498471 98475 98480 98484 I9658 98489 1965998493 19660 98498 ',9661 98502 '9662 98507 19663 98511 966498516 9665 9852c 966698525 (9667 98529 966898534 966998538 I967098543 196719854? 967298552 967398556 967498561 967598565 96769857° 967798574 i9678 98579 967998583 9680 968 98588 98592 51 96829859 96839860 968498605 96859861 9700 q'J9701 4il97°2 '97°3 98677 98682 98686 98691 968698614 968798619 968898623 '9689 98628 969098632 969198637 969298641 9693 98646 969498650 969598655 969698659 969798664 969898668 9699198673 970098677 970498695 97°5 9708 Log. D, 98: 970698704 9707 98709 987i3 970998717 971098722 98726 9873 , . _ 98735 971498740 97x5 98744 I9711 iP?12 9718 19716 98749 b?1? 98753 98758 971998762 972098767 972 9722 9723 9726 9731 ■9732 9733 9734 9735 98771 98776 98780 1972498784 972598789 98793 972798798 972898802 972998807 973° 98816 98820 98825 98829 98834 9 73 6 9737 9738 9739 974° 9741 9742 9750'989oo 975i|989°5 975298909 9753989i4 i9754i989i8 9755!98923 9756:98927 i9757|98932 9758198936 9759I98941 N. j Log. D. 9760 98945 9761 9762 98949 98954 976398958 9764 98963 97659896 976698972 9767 i9768 98976 98981 976998985 9770 98989 ,9771 9772 9773 98994 98998 99°°3 98838 98843 98847 98851 98856! 978 9782 9783 9784 9783 9786 977499°°? 9775 99°12 977699016 077799°2 |977899°25 977999°29 978099034 99°38 99°43 99°47 99052 99°56 99061 9788 978999074 979099078 9791 9793!99c92 9794i99°96 9795.99100 98860 98865! 9743I98869; 9744:98874 974598878| 9746:98883! 974798887! 9748:98892; 9749198896; ^l975o'989oo! ^1980099123 [978799065 99069 99083 979299087 N. | Log. LV 979699105 '9797 99I09 59798 99i14 .49799 99118 9800199123 9801199127 98o2l99i3i 98o3!99x36 9804:99140 9805199145 980699149 980799154 980899158 980999162 9810 981! 9812 9813 981499185 9815 981699193 99i67 991?1 99176 99180 99i89 9817 99^8 99207 99211 981899202 9819 9820 9821 9822 9823 9824 99216 99220 99224 99229 982599233 9826 9828 (9830 9831 9832 9833 9835 99238 982799242 99247 982999251 99255 99260 99264 99269 983499273 99277 983699282 983799286 9838 9839,^ 9840^9300 9841 9842 9843 9844 9845 9846 9847 99304 99308 993I3 99317 99322 99026 , ..9933° 9848,99335 9849;99339 9850,99344 ^9850,99344 985199348 9852 . . 99352 985399357 985499361 985599366 985699370 985799374 985899379 985999383 986099388 986199392 986299396 9863 99401 986499405 986599410 9866 99414 98679941^ 986899423 9869 9870 N. I Log. D. 99427 99432 9871 9872 9873 99436 9944 99445 987499449 987599454 987699458 9877 9878 99463 99467 98799947 9880 9881 9882 9886 9887 9888 9889 9890 99476 99480 99484 988399489 988499493 9885I99498 99502 99506 99511 99515 99520 989!99524 989299528 9893 99533 989499537 9895|99542 '9896199546 i989799550 I989899555 989999559 9900.99564 990099564 9901 99568 9902 9903 9904 9905, N. j Log. 9906 9907 9908 9909 991 c D.|j N. [ Log. !995o!99782 [995199787 99572 99577 9958i 99585 9959° 99594 99599 99603 99607 9911 9912 9913 99M 9915 9916 9917 9918 9919 9920 9921 9922 9923 9924 9925 99612 99616 99621 99625 99629 99634 99638 99642 99647 99651 9926 9927 9928 9929 993° 993 9932 9933 9934 9935 9936 9937 9938 9939 9940 99656 99660 99664 99669 99673 99677 99682 99686 99691 99695 99699 99704 99708 99712 99717 99721 99726 9973° 99734 99739 j994I 9942 9943 9944 99743 99747 99752 99756 9945199760 994699765 9947I99769 9948-99774 9949.99778 9950,99782 1 995299791 995399795 :9954j998oo !9955!998o4 6956 9957 9958 9959 9960 99826 59808 99813 99817 998 9961 9962 9963 9964 9965 99830 99835 99839 99843 99848 9966 9967 9968 9969 0970 99852 99856 9986 99865 99870 997 997 9973 9974 9975 9976 9977 9978 9979 9980 9981 9982 9983 99626 998499930 9985 998699939 D 99874 99878 99883 99887 99891 99896 99900 99904 99909 99913 99917 99922 9987 9988 9989 999° 9991 9992 19993 9994 9995 99944 99948 99952 99957 9996 9997 9998 9999 10000 99935 99961 99965 9997° 99974 99978 99983 99987 99991 99996 00000 4 Voi,. JXII. Part I. o io6 LOGARITHMIC SINES AND TANGENTS. o Degrees. .06579 i; 7.1627O Sin. luf neg, 6.46373 Dif. 4.o.io8 c 7 y| 6.04084 67.24188 7.30882 8 7.36682 9 7*4i797 746373 7.50512 7.54291 „ 7-57767 4 7-60985 5 7^3982 16 7.66784 7.69417 18 7.71900 197.74248 7-76475 7-78594 7.8061 r 7-82545 7-84393 7.86166 7.8787 77.89509 7.91088 7.92612 7.94084 7.95508 7.96887 7.08223 7.9952c 358.00779 368.02002 37 8.03192 388.04350 39 40 8.05478 8.06578 41 8.07650 42 8.08696 8.09718 8.10717 8.11693 43 44 45 4618.1264 47i8.i358i 488.14495 408.1 c ^01 308.16268 9691 79l8 6694 5800 5115| 4576 4^39 3779i 3476 3218 2997 2802 2633 2483, 2348; 2227 2119! 2021 I93° 1848 I773 I7°4 1639! I579 I524 1472 1424 *379 I33 1297 !259 1223 Tang. Inf neg. 6-46373 94085 7.06579 7.16270 7.24188 7.30882 7.36682 7.41797 7-46373 7-5°5I2 7-54291 7-57767, 7.60986 7.63982 7^66785 7.69418 7.71900 ! 7-74248 7-76476 7-78595 7.80615 7.82346 7-84394 7.86167 87871 l!7-89510 7.91089 7.92613 7.94086 Dif. u 7-955 6 7-96889 '' 7.98225 7.99522 8.00781 5118.17128 52!8-1797I 53 8-18798 54j8.i96io 5518.20407 568.21189 57,8-21958 5818.22713 598.23456 608.24186 Cof. 1190 1158 11 1100 1072 1046 1022 999 976 954 934 9x4 896 877 860 843 827 81 797 782 769 755 743 73° 8.02004 8.03194 8.04353 8.05481 8.06581 30103 17609 12494 9691 7918 6694 5800 5II5 4576 4I39 3779 3476 3219 2996 2803 2633 2482 2348 2228 2119 2020 I93I 1848 I773 1704 1639 I579 1524 I473 I424 !379 !336 I297 I259 1223 1190 IJ59 1128 1100 13-53627 13-23524 I3-°59I5 12.93421 12.8373c Cot. 12.75812 12.69118 12.63318 12.58203 12.53627 12.49488 12.45709 12.42233; 12.39014 12.36018 12.33215 12.30582 9.99999 12.28100 12.25752 12.23524 12.21405 12.19385 12.17452 12.15606 12.13833 12.12129 12.10490 12.08911 12.07387 12.05914 8.07653 8.08700 8.09722 8.10720 8.11696 1072 1047 10 2 2: I 2.O449O I 2.O3111 ! I.97996 Cof. 0.00000,60 o.ooooo|59 0.00000158 o.ooooo|57 0.00000I56 0.00000155 0.00000 o. ooooo|54 p. ooooo;53 o.oooooj52 0.00000 51 o.ooooo!5° o.ooooo!49 0.0000048 0.0000047 0.0000046 0.0000045 44 43 42 41 4° 9-99999 39 9.9999938 9.99999 9-99999 9-99999 35 34 33 9-99999 9-99999 9-99999 9-99999 9-99999 9.9999932 9-999983 9.99998 9.99998 9.99998 12.01775:9.99998 12.00478'9.99998 11.99219:9.99998 P.99998 11.96806 9.99997 n.95647 11-94519 11-93419 8.12651 8.13585 8.14C00 8.15395 8.16273 8.17133 8.17976 8.18804' 8.19616I 8.20413 n.92347 11.91300 11.90278 9981H.89280 976[ii,883o4 ASiii 1.87349 ;9-99996 934|i 1.8641519-99996 9 ^ 5|11 .85500I9.99996 q?q'ii’846°5 Bfo'11-83727 35 29 28 27 26 25 24 23 9.9999722 9-9999721 9.9999720 J9 18 17 16 !5 9-99997 9.99997 9.99997 :9-99996 9.99996 9.99996 9-99995 n 111.82867 sts11-82024 °2S|n.81196 812' T 9-99995 9-99995 9-99995 8.21195 8.21964 8.22720 ,8.23462 8.24192 Cot. J! I.80383 |9.99995 ^8-I1-79587 9-99994 ^ jn.788°5 9.99994 769!!!.78036:9.99994 ^ J! 1-772801 9-99994 74^! ^7653819.99994! >80|i 1.75808(19.999931 o ' Sin Tans 89 Degrees. 1 Degree. Sm. I DU.,; Tang. 0:8.24186 1:8.24903/ ^ 6|8-?83M653 7|8-28977 818.29621 9i8.30255 10 8.30879^,6 20 644 634 624 8-3i4950o8 8-3 2I03! rgg 3 8’8270259o 14 8-33 292^ ^5 8-338755 3 168.34450 17 8.35018 88.35578 98.36131 8.36678 3° 8.37217 8-3775° 8.38276 8.38796 8.39310 68.39818 8.40320 8.40816 98.41307 8.41792 31 575 568 ?6o 553 547 539 533 526 520 5M 508 5° 2 496 491 485 480 474 470 8.42272 328.42746 ^ 843680 464 8-44i39 368.44594 378.45044 38845489 398-4593° 40846366 41 8.46799^2^ 459 455 45° 445 441 436 '433 8.47226 8-47650i4I9 8.48069 8.48485 1424 416 411 408 4°4 8.24192 8.24910 8.25616 8.26312 8.26996 8.27669 8.28332 3.28986 8.29629 8.30263 8.20888 8-3i5°5 8.32112 8.32711 8.33302 8.33886 8.34461 8.3 5029 8.3559° 8.36143 8.36689 8-37229 8.37762 3.38289 3.38809 8-3 93 2 3 8.4080 8.41321 8.41807 46:8.48896 47:8.493°4' 488.497oSj 49;8.s0i°8i 6 50|8.5Q504;gQ3 5ij8.508971 0 52;8.5i287:p6 538-51673382 548-52°55|379 5j,8-52434 375 568.52810 57'8.53>83! S 58,8-53 5 5 ^ 67 598-539^9 3^3 60:8.54282 - Dif. i Cot Coi. 718 706 696 684 673 663 654 643 634 625 617 607 599 591 584 575 568 561 553 546 24° 533 527 52° 5J4 5°9 502 S.20822 3*4°334 496 491 486 480 475 47° 464 460 455 45° 446 441 437 43 2 428 424 8.42287 8.42762 S.43232 8.43696 8.44156 8.44611 8.45061 8-455°7 8.45948 8.46385 11.75808 9-99993 6o 11-75°9°:'9-9999359 11-74383 9-99993 58 9-9999357 9.9999256 9-9999 2 55 11.71668’9.9999254 11.72004 n.72331 11.71014 11.70371 11.69737 11.69112 11.68495 11.67888 11.67289 11.66698 11.66114 l9-99992:53 19.999925 2 19-99991 5° 11.62771 11.62238 11.61711 11.61191 11.60677 11.60168 11.59666 II-59I7° 11.58679 11.58193 9-9998942! 9.9998941 9.9998840 11-65539! 9-99989;t4 n.64971 11.64410 11.63857 H.633U 8.46817 8-47245 8-47669; 20 8-48°89!lJ? «-485°5|/i2 9-9999149 9.9999048 9.9999047 9-9999°;46 9-9999°45 9.99988 9-99988 9-99987 9.99987 9.99987 9.99986 9.99986 9.9998632 9.9998531 9.99985 II-577I3 9-99985 H.5723S 9.99984 11.56768 9.99984 11.56304 ii-55844 ii-55389 n-54939 n-54493 II-54°52 11-53615 8-489i7|40S 849325!304 8-49729(4C)x 8.5oi3°,2o7 8-30827i393 1 i-53i83 II-52755 II-52331 11.51911 11.51495 9.9998 9.99983 25 >•99983 9.9-9983 9.99982 19.99982 19.99982 24 i2° 22 21 20 9.99981 9.99981 9.99981 9.99980 9.99980 11-5 1083 9.99979 8.50920 8-5i3i°! 139° 86 8-5l696Uf,, 8'52°79:38o I !.5067 0 H.50271 II.4987O 11-49473 11.49080 11.48690 11.48304 9.99977 9.99979 9.99979 9.99978 9-99978 9.99977 9.99977 8.52459 376 111.47921 I1-47541 8-5283547, JO ^^7 0 8.53578ip7 8-543°8l: Cof. Cot. 11.47165 1146792 1146422 11.46055 IM5692 Tang. 9.99976 9.999 9-99975 9-99975 9-999741 9-99974 9-99974 ! Sin. 1 88 Degrees. LOGARITHMIC SINES AND TANGENTS. L ’ Sin. I Dif. 0iQ'54?8 360 18.54642!^ 2 8.54999.,-, 3(8-55354i,,i €-«7°5i49 5i8-56o54;346 6|8*56400„4, 7;8-56743^i 8,3-57034:3,^ 11 8*58 12 1.8.5841-133? 89: I9j,2a i3!8-58747!325 148,590724^ i5;8-59395i^o i6!^97I3|3i8 17 8.6oo334 6 18 8.60349!3 ^ 8.60662.^3 8-6o973i3n9 8.612821^ 228.615893 7 038.6.89J°f 24 8.62i96|-JOI 8-62497 298 68.62795 27 8.63091 8.63385 8.63678 8.63968 8.64256 328.6.1543 8.648 8.6 ‘ :i 10 2 Degrees. Ting. | Dif. 33 34, 33)8^5391 3618.65670 378-65947 38.8.66223 39'8.66497 4o|S.66769 41,8.67039 42'8.673 43,8-67575 4 #-67841 4^8.68104^^ 468.68367 6o 478.68627!^ 488.6888^ 1 4918.69144 2->c6 5-0-8.69400 2" 51 8.696541 528.69907 33 538*7OI592ro 548.70409 - 55!8^o658249 568.709051 ^ 578.71151^ c8 8.7'395,; c9'.71638 608.71880' 4 ,|8-343o8!.6 8.54669'30. 8-550273^ 8-5538274 18.5573434 ^3.£f6 ■8.56429';^ '8-56773!j4T ;q'57II4^38 j8*57452;,,6 8-5 7 7 88 3 3 33o 320 326 8-5942B^3 Cot. 8.58451 58779 ;8.59io5 8-59749!,I9 8.60068 3 ^ 18.60384 ® :8.6069s314 [8.61009 8.61319 \S.61626 [8.61931 18.62234 i8-^2535 8.62834 !8.63i 31 8.63426 8.63718 18.64000 8.64298 18.64585 8.64870 18.65154] 8-6 543 5 8.65715 8.65993 8.66269 [8.66 545 8.66816 8.67087 8.67356 8.67624 8.67890 [8.68x54 8.68417 8.68678 8.68938 8.69196 8-69453 8.69708 8.69962 8.70214 8.7046 5 32£2iS 8.70962 ^ 8-7I2°8 245 : 8-7I453:244 [8.71697:^ 18.71940 I Cof. 1 Cot. x 1.45692; 11-4533 ^ 11-44973 9.9997460 Cof. 9-99973 9-99973 11.44618 9.99972 11.44266 II-439I7 11-4357I 11.43227 x 1.42886 xx.42548 11.42212 9.99972 9-9997I|55 9-9997 ll54 9-99970j53 9.9997052 9.99969 5 x '9-99969 5° 11.418799.9996849 11.41549 9.99968 48 11.41221 11.4089 c x 1.4057 2 311 310 3°7 3°5 3°3 201 299 297 295 292 291 289 287 285 284 281 280 278 276 274 273. 271 269 268 266 264 263 261 260 258 257 255 254 252 251 249 11.40251 II-39932!9-9996643 ix.396169.9996542 II-393°2 xx-3899i 11.38681 1 i-38374 11,38069 ii-37766 •37465 .37x66 11.36869 II-36574 11.36282 11.35991 19.99961 i9-9996o 19.99960 9-99959 9-99959 lI-357° II-354I5 xi.34846 1 i-34285 11-34°07 II-3373I 11.3318, ii-32644 11-32376 x 1.32110 11.31846 ^-3i583 11.31322 x 1.31062 11.3080/j 11-3°547 11.30292 11.30038 11.29786 II-29535 9-99944 11.29286 11.29038 11.28792 9.9996747 9-99967,46 9.9996745 [9.9996644 '9.9996441 :9-999644° [9-99963 ,9-99963 9.99962 ;9-99962 [9.99961 11-34565,9-99956 39 38 37 6 i3 34 33 32 31 30 29 28 27 26 25 '9-99955 24 9-99955 23 '9-99954 |9-99958 9-99958 9-99957 9-99956 II-33457 [9-99954 9-99953 1I-329I3[9-99952 I9-99952 9-99951 9-99951 9-9995° 20 ^9 18 16 9.9994914 ,9-99949 J3 9-99948;12 9-99948!11 9-99937 10 :9-99946j 9.99946: 9-99945! 22 9.99944 9-99943 9.99942 xx.28547 9.99942 11.28303I9.99941 1 x.28o6oj9.99940[ 87 T)egrees. Tang, t' Sin. ' | Sin. | Dif. 0i8-7i88o|24o I 8.72I20L,^ 2j8'72359!2?8 3!8-72597 3 4;8-72834 5|8-73°69 6|8-733°3 7j8-73 535 818.73767 6:8-73997 io!8.74226 118.74454 128.74680 13 8.74906 i48-75i3° i58-75353 i6i8.75575 i7|8-75795 18 8.7601 198.76234 208.76451 8.76667 8.76883 238.77097 24 8.773 xo 258.77522 237 235 234 232 222 230 229 228 226 226 224 223 222 220 220 219 2x7 216 216 214 2x3 2X2 268-77733 27 8-77943 8.78x52 8.78360 8.78568 8.78774 8.78979 33 8-79i83 8.79386 8.79588 8.79789 8.79990 8.80189 8.80388 8.80585 8.80782 8,80978 8.81I73 8.8X367 41 42 43 44 4 5 8.8156c 468.81752 8.81944 8.82134 8.82324 8.82513 8.82701 8.828SS; 8.83075 8.83261 558.83446 568.83630 578.83813 588.83996 98.84177 60 8.84358 Cof. 3 Degrees. Tang. Dif. Cot 8.7194c 8.72181 8.72420 241 239 8-72659 8.72896 JN 8.73132 “3 234 234 232 23I 229 229 8.73366 8.73600 8.73832 8.74063 ,8-74292 8-7452C.27 8'7«7422j 8-75*99 ,4 8-75423 209 208 208 206 205 204 203 202 201 201 X99 199 197 x97 195 X94 J93 192 192 190 190 189 188 187 187 186 185 184 183 183 181 181 8-75645 8.75867 8.76087 8.76306 8-7652 8.76742 8.76958 8-77173 8.77387 8.77600 8.77811 8.78022 8.78232 8.78441 8.78649 8.78855 8.79061 8.79266 8.7947 8.79673 8.79875 8.80076 8.80277 8.80476 8.80674 | 8.80872 8.81068 8.81264 8.81459 8.81653 I99 198 198 196 196 !95 194 J93 192 192 190 190 189 188 188 186 186 185 8-83732,1 8.83916: g4 8.84100 *4 8.84282^ 8.84464102 8.81846 8.82038 8.8223c 8.824201 8.82610 8.82799 8.82987 8.83x75, 8.83361 8-83547 11.28060 11.27819:9.99940159 11.27 c8 11-2734I 11.27104 11.26868 Col. 9.9994000 9-99939\58 9-99938;57 9-99938,56 9-99937155 11.26634 9.99936154 11.26400 9.99936153 11.26168 9.99935I52 **.^-937 9-99934i5> 1I-257o8i:9-99934!5° 11-25479li9-99933j49 11.252529.99932,48 11,2562619.9993247 224 222 222 220 219 219 217 216 215 2x4 213 211 211 2X0 209 208 206 206 205 204 203 20 2 II.2480I 9.9993I II-24577i:9-99930 46 45 II-24355j[9-9992944 II-24I33[9-9992943 ii.23Qi3i[9.9992842 11.23694I19.9992741 11-23475 9-9992640 11.23258 11.23042 11.22827 11.226x3 11.22400 11.22189 11.21978 11.21768 11.21559 II-2I35I ix.21145 II-20939 11.20734 1 x.20530 XI.20327 11.201 25 11.1992/j II.I9723 IX.19524 11.19326 11.19128 11.18932 11.18736 11.18541 11.18347 11.18154 11.17962 11.17770 11.17580 XI.17390 11.17201 XI.17013 11.16825 11.16639 11-16453 9-99898, 9.9992639 9.99925 9.99924 9.9992336 9-99923 35: 34 33 32 31 3° 9.99922 9.999 9.99920 9.99920 19.999x9 29 9.99918 9.9991728 9.999x7 9.999x6 9-999I5 9.99914 9-999I3 9.999x3 9.99912 9-99911 9.99910 9.99909 9.99909 9.99908 9.99907 9.99906 9.99905 9.99904 9.99904 9.99903 9.99902 9.99901 9.99900 9-99899 11.16268:9.99898 4 11.16084:9.99897 3 11.15900! 9.99896 2, 11.157x8,9.9989^ i ii-i5536:9-99894 * Crt. Tang. Sin 86 Degrees, O 2 IO7 'io 8- LOGARITHMIC SINES AND TANGENTS. 4 Degrees. Dif. I l ang. |Dif. 8.84464 8.84646 |8.84826i [8.85006 ,8.85185 8.85363 22 '15 '15 '!' 171 169 169 169 167 168 166 166 165 164 164 163 163 162 162 160 161 8.89625 8-89784159 8-89943 ! 59 8.9OIO2 8.90260 568.90417 37i8-9°574 388.90730 8.86301 8.86474 3 8.86645 8.86816 5 8.86987 i6'8.87i56 i7!8-87325 818.87494 i9!8.87661 208.87829 8.87995 8.88161 23 8.88326 248.88490 258.88654 26 8.88817 8.88980 8.89142 8:89304 8.89464 8.8554c 8-85717 8.8 3893 8.86069 8.86243 8.86417 8.86591 8.86763 8.86935 8.87106 8.87277 8.87447 8.87616 8.87785 8-87953 8.88120 8.88287 8.88453 8.88618 8.88783 398.90885 40 8.91040 418.91195 428.9i349 43,8.91502 j44|8.91655 |45j8.91807 46:8.91959 47 8.92110 4818.92261 4918.92411 5018.92561 5118.92710 52I8.92859 53j8-93007 54|8-93i54 55i8*93301 568.93448 57i8'93594 58,8.9374° 59.j8.93 885 608.94030 158 i57 '51 '56 '55 '55 '55 I54 I53 I53 !52 152 J51 I51 I5° 149 '49 148 J47 147 I47 146 146 I45 Hi 182 180 180 179 178 177 'll 176 76 '14 '14 '14 172 I72 il' 171 170 169 169 168 167 167 166 65 i65 ^-15536, II-I5354 Cot. Coi. 9-99894 9.99893 I i.i5i74i9.99892 II •i4994!'9-9989i 11.1481] i9.9989i 11.14637 .14460 11.14283 11.14107 1 '-'595' "•'5151 9.99890 9.9988954 9.9988853 9.99887 52 9.99886 51 9.9988550 11-13583 11-13409 11.13237 11.13065 11.12894 8.88948 8.89111 8.89274 8.89437 8.89598 8.89760 8.89920 8.90080 8.90240 8.90399 11.12723 1I-I2553 11.12384 11.12215 T 1.12047 II.Il88o II.II7I3[9 "•"541 11.11382 9.9988449 9.99883 48 9.9988247 9.99881 46 9.9988045 9.9987944 9.9987943 9.9987842 9.9987741 9.9987640 9-99875 39 8-9°557 8.90715 18.90872 8.91029 8.91185 65 163 163 163 161 162 160 160 160 '59 158 158 11.11217 9.99871 11.11052 11.10889 11.10726 11.10563 11.10402 11.10240 11.10080 11.09920 11.09760 11.09601 Cof. 8.91340 S-9I495 18.91650 [8.91803 8.91957 8.92110 8.92262 8.92414 8.92565 8.92716 8.92866 8.93016 8*93165 8-933t3 8.93462 8.93609 8-93 7 56 8.93903 8.94049 8.94195 H7 I57 Ii6 x55 Hi Hi H3 154 x53 '52 H2 li1 H1 H° H° '49 148 149 T47 147 147 146 146 Cot. 9-99873 9.99872 9.9987034 9.9986933 9.99868 32 9.99867 31 9.9986630 11.09443 11.09285 11.09128 11.08971 '99874 38 9.99865 '9.99864 I9-99863 |c).pp862 19.99861 n.08815 9-99856 9-99^55 11.08660 11.08505 11.08350 11.08197 11.08043 9.99860 9-99859 9.99858 9-99857 9.99854 [9-99853 9.99852 9.99851 11.07890 11.07738 11.07586 11-0743 5 11.07284 II-°7I34 11.06984 11.0683 q 11.0668 11.06538 ;9-99850 9.99848 9.99847 ’9.99846 9.99845 9.99844 9.99843 19.99842 9.99841 9-99840 11.06391 9.99839 11.06244 9.99838 11.0609719.99837 II-°595Ij9-99836 11.05805! 9.99834 Tang, jj Sin. 85 Degrees. 5 Degrees. Sin. 08.94030 18.94174 2 8-94317 38.94461 Dif*.; Tang. I Dif. 8.94603 8.94746 4 J 6 8.94887 8.95029 88.95176 8.95310 8-9545° 12 !i6 8.95589 8.95728 138.95867 148.96005 H 8.96143 8.96280 178.96417 188.96553 19 8.96689 8.96825 8.96960 22 8.97095 8.97229 24 8.97363 258.97496 26 27 28 29 3° 8.97629 8.97762 8.97894 8.98026 8.98157 I44 x43 x44 142 143 141 142 I4I 140 140 H9 H9 H9 H8 x38 '51 '51 136 136 136 Hi Hi H4 H4 '55 '55 '55 132 8-9434° ,Vr 8.94485 8.94630 8-94773 8-949i7 8.95060 8.95202 8-95344 8.95486 8.95627 |8-95767 8.95908 8.96047 8.96187 8.96325 8.98288 8,98419 8.98549 34 8.98679 35 8.98808 368.98937 7 8.99066 388.99194 8.99322 8.9945° 8-99577 428.99704 8.9983° 8.99956 9.00082 9.00207 9.°°332 489.00456 9.00581 9.00704 8.96464 [8.9660 '8.96739 8.96877 8-97°H 8.9715° 8.97285 8.97421 8-97556 8.97691 8.98490 8.98622 8-98753 8.98884 8.99015 51 9.00828 529.00951 9.01074 9.01196 9.01318 53 54 55 569.01440 579.01561 589.01682 9.01803 9-OI923j 8.97825 8-97959 ia2 [8.9809 18.98225 18-98358 H1 H° H° 129 129 129 128 128 128 127 127 126 126 126 I25 I25 124 125 123 124 123 123 122 I45 Hi x43 H4 H3 142 142 142 '4' 140 '4' '59 140 H8 H9 H8 '51 H8 136 '51 '55 136 Hi Hi H4 H4 '55 '55 '55 152 152 Cot. 11.05805 11.05660 11.05515 ^ ^ "•°5510\9-99^5' 11.05227 11.0/1940 11.04798 11.04656 1 i-°45I4 Coi’. 9.99834 9-99833 9.99832 1 ,[9-9983°^ 11.05083 [9.99829 55, 9.9982854 9.99827 53 9.9982552 9.9982451 11.04373''9-99823 5° 9.9982249 n.°4233 11.04092, II-°3953 11.03675 n-QSiS6, xi-°3398[ 11.03261 11-°3I23 11.02987 8-99H5 8.99275 8.99405 8-99534 8.99662 8.99791 8-99919 9.00046 9.00174 9.00301 122 9.00427 9-°°553 9.00679 9.00805 9-°°93° 121 121 ii 20 Cof. 9.9982148 9.9982047 11.03-813 9.9981946 9.9981745 9.9981644 9.9981543 9.9981442 9.99813 41 9.9981240 11.02850' 11.0271 11.02579: 11.02444 11.023091,9.99806 11.02175 11.02041 11.01908 ii-oi775 11.01642' 9-oi°55 9.01179 9-OI3°3! 9.01427! 9.° 155°' 9-oi673! 9.01796 9.01918 9.02040 9.02162 H1 '5' '5' 150 H° H° 129 128 129 128 127 128 127 126 126 126 126 I25 I25 124 124 124 123 123 I23 122 11.01510, 11.01378* 9.9981039 5 9.9980938 9.9980837 9.99807 36 9.9980434 9-998°3 33 9.9980232 9.9980131 9.99800 30 35 9.99797 11.0124719.99796 11.01116,9.99795 11.0098519.99793 9.9979829 28 27 26 25 11.00855 9.99792 11.0072519.99791 ii-°°595'9-9979° 11.0046619.99788 11.003389.99787 11.002099.99786 11.00081,9.99785 i°-99954 9-99783 10.99826:9.99782 10.99699j9.9978! i°-99573|9-9978o 10.99447 9.99778 10.99321 9.99777 10.99195 9.99776 10.99070 9.99775 10.98945 9.99773 10.98821 10.98697 io-98573!9-99769 122 122 10.98450 10.98327 10.98204 10.98082 10.97960 9.99772 9.99771 9.99768 19.99767 ,9.99765 I9.99764 i9-99763 io-9783819-9976i Cot. 84 Degrees. Tang. Sin. LOGARITHMIC SINES AND TANGENTS. 6 Degrees. 6:9.02639 79-°2757 89.02874 99.02992!;^ I9.C3242: id9-03I09TT4 !!9-°336_l n 9.03226 6 19-03479 129.03342 6 !9.o3597 139.03458 !i6 j 9-°37 x4 49-03574 it6 Sin. 9.01923 9.02043 2I9.02163 319.02283 4l9.024O2 5I9.01520 Dit. 120 120 120 II9 118 119 118 117 Tang, j Dif. I9.02162 '9.0228312I 19.02304 ;9‘02525 120 19.02643,2, 19.02766 l 1j9.o2885l 9.03005 118 9-03i24! Cot. Cof. is 9-03690 69.03805 i79-03920 189.04034 ! 9 9.O4149 209-04262 21 b-043 76 s'2 9.04490 239.04603 249-04715 23-9.04828 379-0^°.o3 58l9'°«3^‘=3 S99-°84f 10, 6019.08589 ! Cof. 115 H5 H4 115 IJ3 1 x4 1T4 1 *3 112 IT3 112 269-04940 II2 279.05052 II2 289-°5164 XII 299-°5275iii 3° 9-053^° ! j x 3i9‘°5497 ,IO 329'0.56°7,IO 339'°37j7 [I0 349-°j827IIO 3J2£M7109 369.06046,^ 3^9.06155 io^ 389.06264108 399.06372 IO 109.06481 10l 4l9'°^8T‘°7 429-06696,08 439-06804 ;°7 449-06911,07 4j9-07Qi8 ,06 ■,6,9-071 24,o7 479-°723i lo6 48,9-07337,05 49l9-07442,0g 5o9-07548 ,o5 5i9-°7653 ,OJ 529.07758 o 539.07863 j9-03832 9.03948 n.04065 9.04181 9-°4297 9.04413 9.04528 i 9-04643 19.04758 9.04873 9.04987 9.05101 9.05214 9.05328 9.05441 9-05553 9.05666 9.05778 9.05890 :9.o6oo2 I9.06113I 19.06224 l9.o6335 9.06445 9.06556 9.06666 9-o6775 9.06885 9.06994 9.07103 9.0721 x 9.07320 59.07428 9-07536 9.07643 9.07751 9.07858 9.07964 9.08071 9.08177 9.08283 9.08389 9-o8495 9.08600 9.08705 ,9.08810 19.08914 I9 120 up xi8 1x9 118 118 1x7 118 xi6 1x7 116 116 116 TI5 ^ ^ 5 JI5 115 XX4 1x4 “3 114 IJ3 112 113 112 112 112 in in in 110 in 110 109 110 109 109 108 9 108 108 107 108 107 106 107 106 106 106 106 !05 !05 *05 104 10-97355 io-97234 10.97115 10.96995 9.99756 9-99755 io.97838i9-9976i|6o io-977i7i9-9976o59 10.97596 9.99759 10.97475 9-99757 fj 56 55 54 9-99753 „ |9-99752 53 10.96876 9.99751]5 10.96758'q.99749I'5 1 10.96639I9.99748150 7 Degrees Sin. 10.965 2Ij9.99747)49 ',110.96403119.99745148 I0.96286jj9.99744 47 IO.96168I9.9974246 10.96052)19.9974145 Io-95935|9-9974044 10.95819'9.99738 43 io.95703ii9-99737 42 IO-95587 9-9973641 10.95472 10-95357 10.95242 10.95127 10.95013 {9- .04.800 Q. 9-99734 9-99733 9-99731 10.94899 10.94786 10.94672 10-94559 io.94447 iQ-94334 10.94222 10.94110 10.93998 :9-99727 35 9.99726 9.99724 9-99723 9.997 2 x 9-99 7 20 I9.99718129 9-99717 28 19.9971627 10.9388719.99714 26 10.9377619-99713 25 10.93665(9.99711 24 io.93555 xo-93444 10-93334 10.93225 9.9971023 9-997°8 59.99707 ;9-997°5 10.93115 10.93006 (9.99702 10.92897 10.92789 10.92680 10.92572 10.9246^ 10.92357 10.92249 10.92142 10.92036 10.91929 9.99704 9.99701 9.99699 9.99698 9.99689 „ . ^ 9.99687 xo.91823 9.99686 io.9i7i7,;j9.996B4 10.9161 iji9.99683 9.99696 9.9969 9.99693 9.99692 9.99690 22 21 20 !9 18 17 16 Li x4 r3 Cot. 10.91505 9.99681| 4 10.9140019.99680; 3 10.912951(9.99678 2 10.911909.99677. 1 10.91086(9.99675) o Tang. 1 Sin. 1 09.08589 1(9.08692 29-o8795 39.08897 49.08999 59.09101 Dif. 103 103 102 102 102 101 69.0920:2 2 79-°9304!IOi 89-o9405!ioi 99-°95°6‘!ioo io9.09oc6|TnT Tang. | Dif. | Cot 83 Degrees. 69.10205 I7|9-I0304 8(9.10402 x9'9.io50i 20(9.10599 9.10697 9.10795 9.10893 9.10990 259.11087 269.11184 27*9.11281 28(9.11377 299.11474 309.1x570 419.11666 11761 9-ii857 9.11952 9.12047 ,9.089141 9.090191, 9.09x23 9.09227 9.09330 9-°9434 9-09537, 9.09640 9.09742 9.09845 9-Q9947 9.10049 g.101 so (9.I0252 9-io353 9-1Q454 9-io555 i9.xo656 9.10756 9.10856 (9.10956 10.91086 ic.9098'1 10-90877 10.90773 10.90670 10.90566 10.90463 Xo.9036o 10.902581*9.99663 10.90155 9.99661 1^9005319.99659 10.89951 10.8985c 10.89748 10.89647 10.89546 10.89445 10.89344 10.89244 45 44 38(9.12331 399-i2425 4o9-i25i9 219.12612 9.12706 9.12799 449.42892 9.12985 9-I3539 529-i363° 539-I3722 54i9-I38l3 559-I39°4 56(9.13994 57i9-i4o85: 58i9-I4I75 59(9.14266 60(9.14356 Cof. 94 94 93 94 93 93 93 93 93 92 92 92 92 91 92 91 91 9° 91 90 91 90 q.i 10 s6 9-I1I55 9-11254 9-II353 9-1145 2 9-1155I 9.11649 9-1174 9.H845 9-11943 (9.12040 '9.12138 ,9.12235 :9.12332 9.12428 ;9^2525 ;9.i262'i 'g.i 2717 (9.12813 '9.12909 ;9-I3°o4 :9-I3099 9-I3194 9.13289 9-I3384 '9.x 347 8 9-I3573 9.13667 9.13761 9-I3854 9-13948 9.14041 9.14x34 9.14227 9-I4320 9.1441 9.14504 9-I4597 9.14688 9.14780 Cot. 99 99 99 99 99 98 98 98 98 97 98 97 97 96 97 96 96 96 96 95 95 95 95 95 94 95 94 94 93 94 93 93 93 93 92 92 93 91 92 y 11 10.89044 10.8894419.99642 10.8884.5 (9.99640^ (10.88746(9.996383' (10.88647 9.99637 3< 10.8854819.996353, '.88449I9.99633 .883 si Q.99632 10 10.88351I9.99632 10.88253J9.99630 10.88155I9.99629 3 10.88057(19.99627' 10.8796c’9.99625 10.87862(9.99624 10.87765,19.99622(27 10.87668 10.87572 10.87475 10.87379 10.87283 10.87187 10.87091 9.99620(26 9.99618(25 9.996x7124 9.9961523 9.996i3'22 9.9961 2(21 9.9961 Oj£0 10.86996 10.86901 <9.9960^9 (9.9960718 10.8680619.99605(17 10.86711:9.99603 16 x4 £3 10.86616l9.9960! 10.86522(9.99600 10.86427(9.99598 10.86333'(9.99596 10.86239 10.86146 10.86052 10.85956 10.85866 10.85773 10.85680 10.85588 10.85496 10.85403 10.8531 10.85220 Tang. 9-99595 9-99593 9-99 591 (9.99589 9.99588 9.99586 9-99584 9-99582 9.99581 9-99579 '9-99577 (9-99575 Sin. 12 !2 Degrees. 3C9 1 I ID LOGARITHMIC SINES AND TANGENTS. 9-M3 56 8 i|9-M445 2 9-M535 3 9.14624 49-M7M 59.14803 8 Degrees. D. ^ Sin. jD. j Tang. “9^4780 9.14872^5 9-M963 9-I5°54 9-15M5 9.15236 fis-.-lSpigo 79.1498° y 89.15069!^ ioj9£5245u8 ii|9'i5333|88 12:9.15421 I3i9,I550^ M9-i5596 Mb-15683 169.1577°' i79-i5857 87 18 9-15944!86 i99.i6o3o86 209.16116^ 21)9.16203^ 2219.16289 23 9-i6374 249.16460 259.16545 26 27y.iu/iUjo 289.i68oiJq-1 9.1663 9.16716! 9.16886 9.16970 9-I7055 9-I7I39 9.17 9-I73°7 8 9-I7391 So ojT-88-* 9-1 ' :8 s 9-I764i83 9*177 24 83 9^7807^ 9.178908^: 8-2! 91 91 91 91 91 9-15327 no 9-r54I7qi 9’lSSof90 ,9-M598Iqo '9-13688^ 90 89 9-M777 9.15867 9-I595^ 9-16046 9-I^x35 9.16224 9.16312 9.16401 9.16489 9-i6577 9.16665 9-I(>753 9.16841 9.16928 9.17016 9-I7I°3 9.1719b 9-I7277 9-x7363 9.17450 9-17536 9.17622 9.17708 9-I7794 9.17880 9-i7965 9.18051 9-i8i36^ b.18221 19.18306 9-I7973 9*i8o55 g 9-i8i37 9.18220 9.18391 469.18302 47|9-i8383 8 48.9-i8465 8, 499-t8547'8i 50)9.18628 51:9.1870981 529.18790 8 j 53j9-l887I)8i 4i9-i8952,8i 55j9-I9033:8c 9-I95^1 56)9.19113^ 9.19643! 57:9-i9i93;8o 58:9.19273180 599-I9353l8o 60)9.19433! Cof. 9-i8475 Q 9.i8c6o85 9.18644 9.18728 9.18812 9.18896 9-i8979 n8 9.19063^4 9.i9i46;®3 Cot. Cof. 10.85220! 9.99 C7 t'6o 10.85128:19.99574:59 IO-85°37i|9-99572!58 10.84946^9.99570:57 10.S4855r9.99568 56 10.84764 I9-84^73j 10.84583: 10.84492 10.84402! 10.84312 9-99566 55 9-99565;54 9-99563 53 9.99561 9-99559 9-99557 10.84223 "g.gg 3 c6 IO-84x33 9-99554 10.8404419.99552 IO-83954 9-9955° 10.83865 10.83776 10.83688 io-83599 io-83511 10-83335 io-83247 io-83i59 10.83072 9-9954845 9.9954644 9-99545 9-99543 9-99541 9-99539 9-99537 9-99535 9-99533 9-99532 10.82984 9-99530 10.82897 10.82810 10.82723 10.82637 10.82550! 10.82464! 10.82378) 10.82292) I0.822c6; 10.82120 10.82035. 10.81949 10.81864 10.81779 10.81694! 9.99528 9.99526 9-99524 9.99522 9.99520 9.995x8 9-995x7 9-99515 9-995x3 9.99511 9.99509 9-99507 9-99505 9-99503 9-99501 10.81609; 9.99499 10.81525II9.99497 10.81440)9.99495 10.8x356 9.99494 16 10.81272:9.99492 15 10.8x188 10.81104 10.8x021 10.80937 9-9949°|I4 9.99488.13 9.99486,12 9.9948411 10.80854 9.9948240 9.i9229|oO!xo.8o77i I9.99480 10.8068819.99478 10.80605 9.99476 10.8052219.99474 10.80439)9.99472 ,9-i93i2|q3 9.19395*3 9-i9478!®3 i2 10.80357,9.99470 9-i9725!q^io.8027519.99468 9.19807^210.8019319.99466 9.198896 2jxo.801111)9.99464 A19971 f2jx 0.80029,19.9946 2 Cot. Tz Sin. 81 Decrees. 9 Degrees. 17 9.20768 *77! 9.21341 ^ i8|9.2o845 77; 9.21420 ^ 19I9.2092277 9.214996 Sm. iD.ii ang. :D Ai8 |9-20053 ;g: f n d n r d /i i.. 09-i9433laJ9-i997I!82 i9-i95‘379 9-20oj3:8l 2 9-r9592j8oj!^'20I34:82 49-i975i:79 9'20297 gs 5|9-I9^30!4|9-2037^i: 69.199091 19.20459!, 7|9-I99®^ 4 9'20540j: 79.19900'' 9.2054, 8;9.20067 9.2062 a'9-20145 78; 9.2070 9.2099977 9,2157! __ 9.21076^;9.2165 229.2115311 > „ o r ^ /-a 77 9.2173679 76 9.21814 2747Q 239.21229/69.21S14 24:9.2I3o677(9.21893 25|9-2X38276 9.21971 19 2519-21382^ 9.2197/ 7^ 269.2x458;' 9.22049 ' 279-2I534M 9-22127 M 28;9.2i6io f 19.22205 7° 299.2168575:9.22283 7° 309.21761 76,9.22361 78 9.21836^^ 9.22438 77 9*21912 7°; 9.225! _ 33 9.21987 75; 9.22593 77 349.22062'4. 9.22670 77 359-22137 7^j 9.22747 77 369.22211 '4; 9.22824 7 7 379.22286 73:9.22901 77 38:9.22361 73; 9.22977 76 39,9-22435'] 9.2305477 409.225099.23130 7« 419.22583 H 9.23206 7 42,9.22657 74.9.23283 77 43j9-22731 74:9.23359 7° 44‘9.22805 7t! 9-23435 7° . - - ^^0‘-q/0,o.'2^CTo7j 439-22878 73; 9.23510 75 46 9.2295 2 A 9.23 586^ 47 9*23025 9.23661 75 489.2309873,9.23737/0 49;9-23i7i C19-238x2 75 50)9.23244 '5;9.23887 /5 5I9-23317^ 9.2396273 529-23390'J 9.24037 73 ca'g.23462 72.9.24112 73 54:9-23533 73 9.2418674 3 39.23607 72 9.24261 75 3 39.23007 / - 9.24201 /0 5^9*23679^i 9*24333 74 579-2373273)9.24410 73 589.23823 7X| 9.24484 74 599-23895 ' 9.24558 74 60,9.23967:72,9.24632174 i~' Coir hl_cbr'“1“ Cot. Cof. 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 1 10 10 10 10 10. 10. 10. xo. 10. 10. 10. 10. xo. 10. 10. 10. 10. 10. xo. 10. 10. 10. 10. IC. 10. 10. 10. 10. 10. 10. 10. 10. 10. 10. 10. 10. 10. 10. 10 10. .80029'9.99^62'SO 79947'9-9946o|59 79866,9.9945858] 79784 9-99456 •79703 j9-99334 .796229.99452 79541 9-994 5C .7946 79379 79299 79218 •79I38 .79058 78978 78898 .78818 •78739. 78659 .78 380 .78301 .78422; •78343 •782649.99417 78186 77795 77717 77484 77407 7733° 77253 77176 9-99388 77099 77023 76946 76870 76794 767x7 76641 76565 76490 764x4 76339 76263 76188 76113 76038 75963 j7! 56 33 54 53 52 5 5° 9-99448 9.99446 9-99444 9-9944 2 9.99440 9.99438 9.99436 9-9943446 9-9943 2i45 9,9942944 9.99427 9-99425 9-99423 9.99421 9.99419 9-994x537 36 .78107; 9.99413 78029 9.99411 7793i!9-99409 77873,9-99407 9.99404 9.99402 77639)9-994oo 77562 9.99398 9.99396 9-99394 9-9939 9.99390 9-99385 9-99383 9.99381 9-99379 9-99377 9-99375 9.99372 9-99370 19-99368 9.99366 9.99364 9.99362 9-99359 9-99351 9-99355 9-99353 758889.9935. 758i4;9-99348 75739 9-99346 75665'9.99344 7559° 9-99342 755x6; 9-9934° 75442:9.99337 15368'9-99335 Ti Sin. 80 Degiees. 111 LOGARITHMIC SINF.S AND TANGENTS. 6'9-2396772|9-2463j74 i 9-24°39T 9-24706^ 29-24110K :9-24779iH 39-^i8.P ?9-M853:^ 4 9-24253i7 j 9-24926^ 5;9-24324!7t ^6,9.24 39 A, 79.24466/o 8 9-24536|T t o Degrees. biii. D. j Tang. ;D.j Cot. j Col. 9.25000 9-25°73 9-25i46 9.25219 99.24607T19.25292 10:9.24677 ^l|9-25365 11 9.24748 ' '9.25437 12 9.24818' 1,9.25510 13 9.24888''J9-25382 1419.24958^ 19.2565573 15:9.25028 7°i 70 16,9.25098 i7i9-25i68Z 18,9-25237 A 19 9-25307 A 20 9-25376 A 21 9-25445 6 229.255x4 9 2319-25583 A ,. ./A 25 24 9-2j^-6(,| 9-25721 a- 26 9.25790 68 27 9.25858 289.25927 q 9-25995 9.260636h 9.26131 9.26199 9.26267 6c . . 9-26335 35 9.26403 a .!<• -V- ’7 37 9.26470 9.26 ^38 9.266015 6? 9.2667267 9.26739^ 9.26806 9.26873 9.27007 9.27073 9-27405 66; 9.28186 69! icv/1814 10.75368:9.9933560 Io.75294 9-99335|59 io.7522ij*9.9933ij58 IO-75I47 9-99328|57 lIo-75°74 9-99326|56 ^>10.7500019.99324! C5 73 73 73 72 io-74635 74 IO-74927j9-9S322 54 10.748549.9931953 10.74781'9.99317 52 10.7470819.99315 41 9.26015 72 9.26086 71 ^58 72 622971 19.26301 72 '9.26372 71 '9.2644371 68 68 68 68! 9.25727 9-25799 9.25871 72 9-25943 72 9.26514 19-265857 '9.26655 / 9.26726 71 9.2679771 9.26867 I9.2693770 19.27008 Z1 9-27357 19.27427 7° 9.27496 D9 9.27566 7 . 9.27773 09|I0.72227 66 9.2784269110.72158 9-27I4° A9-279I A,9|io-72o89 47 9.27 206 9.27980 094 0.7 20 20 489.2727367 9.2804969:10.71951 66; 9.28117 684 0.71883 10-74563 i°-74490 19.27078 7° 10.72922 9.27148 7O110.72852 10.74418 '9.9930647 IO-74345 9-9930446 xo-74273 9.9930145 10.74201 10.74129 10.74057 10-73985 Io-739I4 •73842 IO-7377I 10.73699 10.736 IO-73557 10.73486 IO-73415 IO-73345 IO-73274 IO-732°3 1 o-73133 io.73°63 10.72992 9-99313 50 9.9931049 !9-993o848 70jio.72712 69 10.72643 IO-72573 I0-72504 9-9929944 9-99297 43 9-99294 42 9.9929241 9.9929040 9.99288 39 9.9928538 9-99283 37 9.99281 36 9.9927835 9.9927634 9-99274 33 9-99 271 32 9.99269 31 9.9926730 9.99264 29 9.99262 28 9.99260 27 9.99257 26 9-99255 25 10.72434 6? |9.27635 69I10.72365 9.26940 67 !9.27704 69|io.72296j 9.99236 9*27471p 9-28254 ^J| 9.28323 1 51 52|9-27537 53'9.27602 54:9.27663 55 9-27734 659.2839. eA2-4'9 4: 1 C.?!?./, o9,i°.7i677 Oo,IG.71600 08 xo-71541 56:9.27799 5719.2786465 9.2866. 589.27930^9.28730 59 9-27995:^5 9.28798 609.28060,65 9.28865 xri9TiA'7roL°'7I473 79.28595 Cof. 68 ,10.71405 IO-7I338 %io-7i27o! 00 10.71202 °7 10.71135 Cot. 'i'ang. 9.99252 9.99250 9.99248 9-99 245 9-99243 9.99241 9.99238 9-99233 9.99231 9.99229 9.99226 9-99224 ,9.99221 9-992I9 19-992I7 :9-992I4 9.99212 ,9.99209 I9-992Q7 I9-99204 ^.99202 !9.992oo 9.99197; 9-99I95! Sin. ^9 Degrees. II Degrees. Sin. D.j Tang. D.1 Cot. Cof. 09.28060,5 9,2886568 x^^Sx 25 7,9-28933, 29.28190 A 0 3 9-28254^ 49*28319g 59.28384 12 9.28448 7 9.28512 9-28577 9.28641 9-28705 9.28769 9.28833 139.28896 J4 !7 9-29I5° A —m63 18 9.29 19 20 9"29277 62 i9-3oi3o 9-29340 63 |9-30195 9-29403 A|9-3026i ;9-3032 36 9.28960 x 5 9.29024 7 169.29087^ 9-2S4664 9-2952962 9-29591 63 9-29654 A 26 9.297165 9-29779 62 9-2984I62 9-299°3 62 o.29966]7 9-30028 62 9.30090 6 9-3oi5i 62 9-302x362 35 9-30275 At >3033662 379-303986! 389.3045962 39j9-30521 4019.30582 41|9-3o6436i 42,9-307046! 43 9-30765 449.30826 9-29932 9.29998 19.30064 9.29000 9.29067 9-29I34 9201 6 10.71067 6>o.71000 6> o*7093 3 7 10.70866 9.29268 9-29335 ,9.29402 9.29468 9-29535 9.29601 9.2966S 9-29734 9.29800 9.29866 9-3°39: 9-30457 9.30522 Io-7II35!:9-99I95 67 67 67 67 66 67 66 67 66 66 66 66 66 66 66 65 66 10.70799 10.70732 10.70665 10.70598 'I0-7053 i9-9919 19.9919c :9.99i87 9.99185 :9.99i82 ;9.99i8o 19-99177 !9,99I75 9.9917251 " / J J ^ t J 11.7046519.99170 50 Io-7039919.9916749 io-70332|9-99i65 10.7026619.99162 10.70200, 10.70134; 6> t 6q Io- r5!9-3I49oi0° 61 601 61 60 60 60 569.3 * 549,> 57 9.3x609100 58:9-3 i669|Oo 9,32623 59l9.3i728|59! g.^268 60,'9.31 9.30911 9-30975 9.31040 9.31104, 4 9.3x16864 65 64 64 64 64 63 9-3I552 A 9.31616,04 9.3x67903 9-31743 9.31806 I Cof. 9.31870 9-31933 9-3I996j,- 9-32059:,8 19.3212 9-32185 9,32248 9.32311 9-32373 9.32436 9.32498 9.32561 48 9.99160 9-99I5745 10.70068J9.9915544 10.7000219.9915243 10.69936l9.9915042 io.6987o!!9.99i474i 10.6980519.99145 40 10.69609:9.99137 IO-69543j9-99I35 10.69478:9.99132 10.69154 10.69089 10.69025 10.68960 xc.68896 10.68822 10.68767 10.68703 10.68639 10.68575 37 36 >5 10.69413I9.9913034 10.6934819.9912733 io.69283;9.99i2432 10.60218; 9.99122 21 9-99II930 9.9911729 9.99114 28 9.99112 27 9.99109 26 9.99106 25 9.99104 24 9.99101 23 9.99099 22 9.9909621 10.68511,,9.99093 20 io.68448;!9.99C9i 19 10.68384,9.9908818 10.68321 10.68257 10.68194 9.99086,17 9.9908316 9.9908015 10.68004 10.67941 10.67878 10.67815 9.99064 10.67752 10.67689 10.67627 10.67564 10.67502 10.67439 10.67377 6210.67315 9-32747:62]IO-67253 Cut. 1 ang¬ le.681309.990 7 814 10.68067 9.99075I13 9.9907212 9.99070 lx’ 9.99067I10 !9.99o62 '9-99059 I9-99056 '9-99054 9.99051 9.99048 9.99046 9.99043 9.99040 Sin. 78 Degrees. / 2 9-34324 r6 9-34380 56 36 9-34992 59 9-35051 6o 9-35111 m 9-35i 7° 59 9-35229 rQ 9-35288 ‘ 9-35347 58 9-35405 c9 9-35464' 46 9-34436 47 9-34491 48 9-34547 Q.^4602 9-34658 49 5° 51 52 53 54 55 9.34713 9-34769 )-34824 9 34879 9-34934 9.34989 _ 9-35044 589-35099 59 9-35I54 6019.35209 oar 55 55 55 55 55 55 55 59 9-35523 ;8 9-3558i 9.35640 rg 9-35698 r9 9-35757 58 9-358i5 58 9-35873 58 Cot. 10.67253 10.67190 10.67128 10.67067 ,10.67005 10.66943 Cof. g.ggo^o'60 9.99038 59 9-99035 ^9.99032 '0,99030 l9-99°27 10.66881'9-99024 10.66452 9.99005I47 10.66391 10.6633 10.66269 10.66208 10.66147 10.66087 10.66026 10.65966 10.65905 10.65845 10.65785 10.65724 10.66820 10.66758 10.66697 10.66635 10.66574 9.99011 49 10.66513:9.990 '9.99022 '9.99019 9.99016 9.99013 54 53 52 5i ,50 9.98967 10.65664 10.6 5604 10.65544 10.65484 10.65424:9.98958 9.99002146 9-9900045 9-98997 44 9.9899443 9.98991 9.98989 9.98986 9.98983 I9.98980 9.98978 [9.98975 9-98972 9.9896934 10.65365 10.65305 10.65245 10.65186 10.65126 9.9896432 9.9896! 31 3° 9-9^955 29 9.98953 28 9.98950 9.98947 :9-98944 25 33 10.65067 10.6 5008 10.64949 10.64889 10.64830 10.64771 10.647x2 10.64653 10.64595 9.98941 9.98938 9.98936 9-98933 9.98930 '9 9.98927 I9.98924 18 '9.98921 ‘9.98919 10.6453619.98916 10.64477 10.64419 9.98910 10.6436c 10.6430 10.64243 10.64x85 [9-35931 <8 9-35989 9-3^047 9.36105 9.36163 9.36221 sslf&h Cot. 9.98913 ':9-989°7 9.98904 9.98901 9.98898 10.64127*9.98896 10.64069 10.6401 x 10.63953 10.63895 10.63837 19.63779 10.63721 10.63664 Tang. 9.98893 9.98890 9.98887 10 9.98884 !9.98881 |9-9887 9.9887 9.98872 Sin. Sin. [D4 Tang. 13 Degrees. 9.35209 9.35263 9.3531 9-35373 ^9-35427 59-3548i 69-35536 79-35590 89-35644 99-35698 I09-35752 77 Degrees. 8^9-36452^ ^ 9-36509^ 54)9.36566 57 54 55|9-366H^ ^■’ 9.36681 ^ ' 54 9.36738 57 54)9-36795^7 xi 9.35806 129.35860 13 9-35914 1 ^49-35968 15 9.36022 69.36075 79.36129 89.36x82 99.36236 20 9.36289 54! 541* 54 54 54 53 54 53 219.36342 229.36395 23 9-36449 249-36502 259-36555 269.36608 27 9.36660 289.36713 299.36766 30 9-36819 319-36871 329.36924 339.36976 349.37028 359-37081 9.36966 9-37023 9.37080 0' 9-371373 9-3 7193 9-37250 6 , 9-37306 ^9.373633i ^ 9-37419 „ 9-3 74 76 ^ 9.37532 f6 9-37588 3 53 53 53 52 53 52 52 53 52 9-37644 9-37700 9-37756 9-3 78”i 2 ^ 9-37868 L 9-37924-;6 9.379805 9-38035 369-3713352 379-37i85 389-37237 399.37289 4° 9-37341 ^ 2 52 56 9-38091 ,6 9.38147 9.38202 9-38257 9-38368 .. 9-38423 rg 9-38479 rr 9-38534 r r 9.38589 53 41 9-37393 42 9.37445 52 43 9-37497 52 449-37549 5 459.37600 469.37652 47 9-377°3u 48 9-37755I5, 499.37806(52 5I| 52 51 :52 i 9-38644 f, 9-38699 5r3 9-387544j 8808 « 55 9-38863 9-38918 „ |9-38972 55 |9-39°27 Cot. I, Cof. 10.63548 9.98867)58 10.6349x119.9886457 10.634349.98861 10.633769.98858 56 55 10.633199.9885554 10.6326219,9885253 10.63205F9.98849 52 10.63148I9.98846 5 10.63091'9.98843 10.63034 10.62977 10.62920 10.62863 10.62807 10.62750 10.62694 5° I9.98840 4Q 9.988374 ‘ 9.988344, 9.98831 46 9.988284 44 43 10.62581 10.62524 10.62468 IO.624I 2- IO.62356 IO.623OO IO.62244: (9.98825 I9.98822 IO.6263719.98819 42 I9.988164I 9.98813 IO.62188 IO.62132 IO.62076 10.62020 IO.61965 IO.61909 IO.61853 IO.61798 IO.61745 IO.61687 IO.61632 IO.61577 IO.6152I IO.61466 IO.614I I 4° 9.98810 39 9.988073" 9.98804 3 9.98801 3 9-987983. 9-9U79S 9.98792_ 9.9878932 9.9878631 9-98783 30 9.98780 9-98777 9.98774 9.98771 9.98768 9-98765 . 9.98762 23 9.98759I22 9.9875621 9-98753 IO.61356 IO.613OI IO.61 246 IO.61192 IO.61137 IO.61082 10.61028 10.60973 9.39082 50 9-37858 5 J |9;39i36j'5410-608641 51 9-37909 rIil9-39I90 r r io.6o8ioj 529-3796o^1|!9-39245|54 53 9-38oii ^ 9-39299|54 549.380624 9.39353)^ 559-38i i3irT 9-394Q7ir 56|9-38i64| 9-3946i| 579.382154 9.395151^ 58 9.38266^ Tj;9.395694 9-9875° 9.98746 9-98743 9.98740 9-98737 9-98734 9.98731 9.98728 10.6099.98725 9.98722 9-98719 10.60755119.98715 10.60701 J9.98712 10.60647I9.98709 io-6°593 9-987°6 29 28 27 26 25 24 io.6o539!!9-98703| 4 10.604851,9.98700* - 7i3!l!9-39623i34 s4 /,rTs!y-oyu^oir 6ol9-.38368l|5 ii9-39677f i Cof. I 11 Cot. 1 10.60431 10.60377 10.60323 Tang. 9.98697 9.98694 [9.98690 Sin 76 Degrees. 1 LOGARITHMIC SINES AND TANGENTS. 11 14 Degrees. ' | Sin. 019.38368 1 9-38418 2,9.38469 3 9-385i9 4 9-3857° q 9.38620 6 9,38670 7 9-38?21 8 9-38771 Q 9.3882I 9.3887I D. 50 51 5° 51 5° 5° 5I! Tang. 9-39677 9-39731 9-39785, 9-39838 5^ D. 9.39892 9-3-9945 54 9.38921 9-3897i 9.39021 14 9.39071 15 9-39121 i69-39I70 179.39220 189.39270 I9 9-393I9 9-39369 9.39418 20 9-39999 9.40052 5°i 9.40106 ~ 9-40159 9.40212 9.40952 9-41005 9-4°795 9-39467^|9-4o847 9-395i7,:o!9-40900 9.39566 9-396i5 9.39664 9-397I3 9.39762 9.39811 9.39860 9.39909 9.399 c8 9.40006 9-40055 9.40103 9.40152 9.40200 589.40249 9.40297 9.40346 9-40394 9.40442 9-40490 9.40538 4 ^9.40586 46!9-4o634 4-719.40682 48,9-40730 1499.407781 130 9.4082 5 ril9.4o873 2 9.409 21 9.40266 9.40319 9.40372 9.40425 9.40478 9-40531 9-4°584 9.40636 9.40689 19.40742 9.41057 9.41109 9.41161 9.41214 9.41266 9.41318 9-4I37° 9.41422 9.4M74 9-4 VS26 9-4157 9.41629 9.41681 9-41733 9-4x784 9.41836 9.41887 9-41939 9.41990 9.42041 4a 49 48 IV 48 49 48 I 48 48 481 48 48 48 gi9-42093 4o 9-4 2144 /o 9-4219c 9.42246 47, Cot. 10.60323 10.60269 10.60215 9.98684'58 10.60162 10.60108 53jio.60055 ^ 10.60001 53 54 53 53 54 53 53 53 53 53 53 52 53 53 53 52 53 5 2 53 5 52 52 53 52 52 52 52 5 2 5: 12 10-59948 10.59894 10.59841 10.59788 Col. 9.98690 60 9-98687!59 9.9868i[57 9.98678:56 9-98675'55 9.98671|54 9.98668153 9.9866552 9.98662 51 '9-98659 5^ io-59734!9-98'65649 10.59681 10.59628 IO-59575 io-59522 ,o!942297 48'9-42348 H 9-42399 53|9-4°96842i9-42450 5419.41016^ ';9.42 50i c -9.41063 56^.41111 47 48; 57J9.4! 158 ^.9.426 53 5819.41205 c 919.41252 60I9.4I300 Cot 942552 9.42603 9.42704 9-427 S5 48 942805 Cot: 10.59469 10-594l6!9-98636 xo.59364 10.59311 10.59258 10.59205 IO-59I53 10.59100 10.59048 10.58995 10.58943 10.58891 10.58839 10.58786 io-58734 10.58682 10.58630 io-58578 10.58526 io-58474 10.58422 io-5837i 10.58267 10.58216 10.58164 io^Sns 10.58061 10.58010 IO-57959 I0-57907 51 10.5780 5 IO-57754 JT |10-5 7 703 J ^iio.57652 10.57601 10.5 7 550 10-57499 10.57448 10.57195 'I'ang. 9.98652 9.98649 9.98646 46 9-98643 45 9.98640 9-98633 9.9863041 9.98627 9.98623 9.98620 9.9861737 9.9861436 9.98610 35 9.98607 9.98604 9.98601 9-98597 31 9.9859430 9.98591 9.98588 9.98584 9.98581 9.98578 9-98574 9.98571 io-583i9!9-98568 9-98565 9.98561 9-98558 9-98555 9.98551 9.98548 9-98545 9.98541 io.57856 9-98538 io-57397 10-57347 10.57296 10.57245.9.98498 9-98535 9-98531 9.98528 9-98525 9.98521 9.98 518 9-985t5 9.98511 9.98508 9-98505 9.98 coi 9.98494 Sin. 75 Degrees. 15 Degrees. ' j Sin. ol9.4i300 Ij9-4I347 2 9-413 94 3|9-4I44I 4;9-4I488 5:9-4153 5 6i9-4I382 ,9.43108 7!9.4i 62816 9.4^ x 38 8i9-416754;'9-432°8 9:9-4 i7224T9,43 258 1019.4176840 ^9.41815 1219.41861 x3 1_i9-433o8 4I 9-43358 46 9.4190847 9.43458 9-435o8 9-43558 I49-4I954 159.42001 169.42047 179.42093 189.42140 199.42186 209.42232 21 9.42278 229.42324 23 9-4237° 249.42416 259.42461 269.42507 279-42553 289.42599 299.42644 30 9.42690 46 31 9-42735 329.42781 339.42826^ 349.42872 359-429r7 369.42962 379.43008 38 9-43053 39 9.43098 43 40 9-43143 419.43188 429-43233 . c 43 9-43 278 4J> 44 9-43323 Tang. D. 19.42805 9.428565 9.42906 9-42957 9.43007 9-43057 Io.57I44;9-9849I|59 10.5 7094'9.98488158 Io-57043l'9-98484!57 10. ^699319.98^81 56 5° 10-56943 9-98477 55 3I'io.56892|9.98474 50;io.j6842;9.9847i 45 9.43408 9.43607 9-43657 9-437°7 943756^ 9438o6 9-43855 943905 943954 9.44004 9-44053 9.44102 944151 9.44201 944250 9.44299 45 9-43367j44 945029 469.43412. ^_(. 47 943457i4f|945I26 I48 9435021^ 9.4074 49 943546j44l 945222 9.44348 944397 9.4444 9-44495 9-44544 944592 9.44641 9.44690 944738 9.44787 Cot. IO-57I95 Col. 9.9849460 10.56792!9.98467 52 9.44836 9.44884 944933 9.44981 9.45078 9.45271 49 5° 49 50 49 49 49 50 49 49 49 49 6 49 49 49 48 49 49 48 49 49 48 49 48 48 49 48 48 48 49 48 10.56742 10.56692 10.56642 10.56592 10.56542 10.56492 10.56442 io-56393 io-56343 !0.56293 10.56244 10.56194 53 9-437 24:44;i9-454x5|48 54 9-43 769 ^ !9-45463C8 55 9-43813i44:9-455I ^ 569-43857. :9-45559 7 57l9-439OI’T?:9-456o6Cg 58 9.4394643 9.45654^ 599-43990 IT 9-4 5.702ks 60 9-440349-4575Q^ | Cof. 1 I' Cot. I 10.56145 10.56095 10.56046 10.55996 IO-55947 10. c c8g8 io.55849 IO-55799 I0-55750 Io-55701 10.55652 10.? C603 IO-55554 10.55505 io-55456 10.55408 IO-55359 Io-55310 io-55262 IO-552i3 10.55164 10.55116 10.55067 lo.tcoig io15497i 10.54922 io-54874 10.54826 io-54778 xo-54729 10.54681 io-54633 10.54585 9.984645 9.98460 9-9845749 9.9845348 9.9845047 i9-98447 9-98443 9.98440 ,.9 .1 44 9‘9843643 9-9843342 9.984294 9.9842640 39 9.98422 9-984I938 9-984i5 9.98412 9.98409 351 9.98405 9.98402 9.9839832 9-9839531 9-9839i3o 46 45 9.98388 9.98384 9.98381 9-98377 9-98373 9.98370 9.98366 9-98363 9-98359 9:98356 9-98352 9.98349 9'98345 . 9.9834216 9-98338 9-98334 9-98331 9.98327 9.98324 H 9.98320 IO 9.98317 9 9.98313 8 9-98309 7 10. ,4537 9.98306 6 10.5448919.98302 c l 4i J 2 10.54441:9.98299 io.54394!9.98295 10.54346 9.98291 10.54298 9.98288 10-54250 >98284 Tang. I' Sin. 74 Degrees. VOL. XII. Part I. 114 LOGARITHMIC SINES AND TANGENTS. ' ! Sin. |D. 0 9-44°34' i;9.44o7844 2:9.441221^ 3|9-44i66|44 4!9-442iO|^ _5!94W343 69-44297! 16 Degrees. Tang. |D.l Cot. Cof. 9-45750L !io-5425° 9-982«4;6o' 9-45797cg iO'54203|9-9828li59 9-45845% 9-45892 9.45940 9-45987 -K , . 9-46035 7j9-4434Ij11 p*4^0^2 89.4438544 9.46130 .- 9-44516! , 12 9-44559 ^ ^ 9.44602 49.44646 I59-44639 I69-44733., 7 9-44776 ^ 89.44819 99.44862 9-44905 20 9-45i63 279-452°6 289-45249 29 9.4529 2 30 9-45334 3I9-45377 3 2 9-45419 339.45462 349-45504 35 9-45547 99.44428,43 9-44472^ 10 9.44948 9.44992 9-45°35 9-45°77 9.45120 369-45589 379-45632 389.45674 399.45716 409.45758 319*458o1 429-45843 439.45885 449-45927 9-45969 45 469.46011 '9-46053 946095 9.46136 9.46178 47 48 49 5° 51 44 43 42) 43 43{1: 43 43 43 42 43 42 43 42 43 42 43 42 42 42 43 42 42 42 42 42 42 42 9.46177 9.46224 9.46271 9.46319 9.46366 9.46413 9.46460 9.46507 9-46554 9.46601 9.46648 9.46694 9.46741 9.46788 9-46835 9.46881 9.46928 ‘9.46975 9.47021 9.47068 9-47II4 9.47160 47 48 47 48 47 48 47 47 47 48 47 47 47 47 47 47 47 46 47 47 9.47207 947253 9.47299 9-47346 9-4739 9.47438 9-47484 9-4753° 947576 9.47622 Io-54I55 9-98277|58 10.54108 10.54060 10.54013 io-53965 9-98262 54 10.536189.9825953 io.5387o 10.113823 1 o-53 7 7*6 10.53729 10.53681 io.53634 9-98273 57 9.9827056 9.98266 55 9-9825552 9.98211 51 9.98248 50 9.9824449 9.98240 i9-98237 io-53587!9-98233 I0-53540 9-98229 47 46 47 47 46 47 46 46 47 46 46 47 46 46 46 46 46 46 46 46 IO-53493 IO-53446 IO-53399 IO-53352 io-533°6 10-53259 10.53212 io-53i65 10.53119 I0-53072 10.53025 lo-S2919 10.52932 10.52886 10.52840 IO-52793 io-52747 10.52701 10.52654 10.52608 10.52562 10.52516 10.52470 10.52424 10.52378 9.46220 529.46262 9-46303 9-46345 5^9.46386 569.46428 579.46469 58.9.46511 59,9-46552 609.46594 Cof. 9.47668 9-47714 46 9.47760 9.47806 9.47852 9.47897 9-47943 41 ;9-47989 4 '9-48o35 9.4808 9.48126 9.48171 9.48217 9.48262 9.48307 9-48353 9.48398 9-48443 9.48489 9-48534 Cot. 45 46 46 46 45 46 45 46 45 45 46 45 45 46 45 48 47 46 45 9.9822643 9.98222 9.98218 9.98215 9.98211 9.98207 9.98204 9.98200 9.98196 9.98192 31 3? 9.98170 29 '28 27 26 24 23 22 9.98166 9.98162 9.98159 9-98i55 9.98151 9.98147 9.98144 9.98140 9.98136 10-52332 10.52286 10.52240 10.52194 10.52148:9.98117 10.52103 10.52057 10.52011 10.51965 10.519201 10.51874 10.51829 io-5i783 10.51738 10.51693 10.51647 10.51602 IO-5I557 IO-5I511 10.51466 Tang. 9.98189 9.98185 _ 9.98181 32 9.98177' 9.98174 9.98132 9.98129 9.98125 9.98121 9.98113 9.98110 9.98106 9.98102 9.98098110 9-98094! 9.98090 9.98087 9.98083 9.98079 9.98075 9.98071 9.98067 9.98063 9.98060’ 1 Sin. 73 Degrees. 17 Degrees. Sin. ID. 9-46594 ,, -9-46634, 29.46676^ 9.467171 49.46758 5I9.46800 6'9.^68^i 7J9.46882 89.46923 99-46964 109.47005 9-47°45 129.47086 9-47127 9.47168 159.47209 Tang. D, l6i9-47249 17 9.47290 18 9-4733° 9-47371 9.47411 19 20; ‘219-47452 229.47492 9-47533 9-47573 9.47613 23 24 25 269.47654 9.47694 28;9-47734 9.47774 9.47814 419.4825 4219.48292 43|9-48332 4419-483 71 459-48411 46 47 48 9-47854 9.47894 9-47934 9.47974 9.48014 41 41 42 42 41 I41 41 41 4°' 41 41 41 41 4° 41 40 41 4° 41 4° 41 4° 40 41 4° 1; 4° 4° r 40 r 40 Cot. Cof. 9.48534I 10.51466 9.9806060 '9-48579j^ 10.514219-98056 59 9.4862415 10.51376 9.9825258 9.48669:45 10.5133 x19.98048 57 9.4871445 10.51286 9.98o44!56 9-48759 45 10-51241 9.9^040:55 9.48804 9.4884945 9.4889445 9-48939j^ 948984:45 9.49029I8 10.50971.9.9801749 9.4907344 io.5C927|!9.98oi3‘48 9.49118 45jx 0.5088 2! 9.98oo9'47 9.4916345 10.50837:9.9800546 I°-5°793jl9-98ooi 45 Io-50748'!9-97997 44 10.51196 9.98036I4 10.511519.9803253 10.51106 9.98029152 10.51061 9.98o25!5i 10.5101619.98021 50 949207I44 9^92529 8 9.49 296|4410.507041:9.5 7993;43 31 S2 33 34 35 36948054 37948094 38948133 399.48173 409.48213 9.4845° 9.484901 948529^ 4° 4° 4° 40 4° 4° 39 391 4° j 49948568 89 j9.50703 a ^0746 94° 7 89 509.48607 5i 40 9.48647 9.48686°? j9.50333 948725 948764 948803 52 53 54 85 _ 569.48842 5-7 9.488,81 589.48920 599.48959 Cof. 9493411j-' 949385 44 '94943° 9.49474 949519 9-49563 9.49607 9.49652 9.49696 9*4974° 949784 9.49828 9-49872 9.49916 9.49960 9.50004 9-5°°48 9-5°°92 9-5OI36 I9.50180 40,9-50223 T0 9-50267 9.50311 9-5°355 9-5°398 9.50442 9-5°485 9-5°529 9-5°572 9.50616 44 19.5065943 i°-5°659 9-97989i42 10.50615 I0.50570 10.50526 10.50481 Io-50437 10.50393 10.50348 *0.50304 10.50260 9-9798641 :9-979824o 9.97978 9-97974 9.97970 9.97966 9.97962 9-97958 9-97954 10.50216:9.97950 32 10.5017 219.97946 3 10.50128 9.97942 30 10.50084 10.50040 10.49996 10.49952 10.499089.97922 10.49864 10.49820 10.49777 *6-49733 10.49689 10.49645 10.49602 10.49558 39 39,' 8^9-50876 9.50919 9-5°962:43 *o-4947] 10.49428 10.49384 *0-4934* 10.49297 9-97938 9-97934 :9-9793° 9.97926 9-979*8 9.97914 9.97910 9.97906 9.97902 '9.97898 9-97894 9.97890 *°-495*5 9-97886 *0.49254 9-97861 9-97857 10.49211 10.49167 10.49124 10.49081 9.97882 9.9787 9.97874 9.97870 9.97866 9-97853 9.97849 9-97°45 -43 9-5*°°5j^ !9‘5I048!t^ ,9.5*092144 9-5**35ri, 60I9.43998 89j|9.5 i 178.43 Cot 10.49038,9.97841 9-97837 9-97°33 9.97829 9-97825 9.97821 10.48952 10.48908 10.48865 ic.48822 Tans 72 Dc ;grees. LOGARITHMIC SINES AND TANGENTS. lrJ 18 Degrees. Sin. D.; Tang. D 39 9.48998 9'49°3h9 9.49076 9.49115 9-49*53 5 949195 6 9.49231 7 9.49269 819.49308 10 9-49424|Ug 9 9-49347 og ^ 9-493^5|^p 9.49462 9-49500 9-49539 9-49577 16 9.4961 c 179.49654 9.49692 9-4973° ;q 9.49768 9.49806 9.49844 9.49882 9.49920 25 9-49958 6 9.49996 9-5°°34 28 9.50072 9.50110 9-5° M8 9.50185 9.50298°/ 9-5°336 9-5II78 '9.51221 I9-5I264 9-5I3°6il! 9-5I349 9-5I392 Cot. 10.48822 10.48779 10.48 73 6 10.48694 10.48651 10.48608 |9-5I435 :9.iM78, :9-5*5f!L i9-5i563;T, 9.51606J5 43 43 0.^648 9.51691 :9-5i734T2 i9-5>7764 9-51819 9.51861 |9*5I9°3 ^g|9-5I946u2 30j9.51988 42 9.52031 9-52°73 9-52II5 9-52I57 9.52200 9.52242 9.52284 9.52326 9.52368 - ,9.52410 J.j9-52452 36 9-5°374 9.50411 38 9-50449 2.7 9.50486 8 / 9-50523 ^ 89 IS 41 42 43 44 459.50710 37 9.50561 9-5°59837 9-50635 ,0 9-5°673 ^ 37 37 46 9-50747 9.50784 .50821 9.50858 9-50896 9-50933 9.50970 43 42 42 42 43 42 42 ,42 42 42 42 42 42 42 42 41 42 42 4 42 41 42 4J 42 42 41 42 41 4* 42 41 2 41 41 41 42. 41 41 /"T 41 •3/l9-536l5gI xo.48352 10.48309 10.48266 10.482241 10.48181 io-48i39 10.48097 10.48054 10.48012 10.47969 9-52494 9-5 253'6 9-52578 9.52620 9.52661 9-52703 9-52745 9.52787 9.52829 9.52870 9.C2912 9-52953 9-52995 9-53037 9-53078 9.53120 9-53161 ,:i'9-53202 371 3 J 9-533 27 H 9-53368 l!9-534°9 53 9-5100713611 - . - 54 9-51043 9-53450 55 9-5io8q ,7 ;9-53492 56|9*51I17 0^9-53533 57 9-5*154 58 9.5x191 o 3 9-53574 10.47927 10.47885 10.47843 10.47800 IO-47758 10.47716 10.47674 10.47632 I0-47590 10-47548 10.47506 10.47464 10.47422 xo.47380 IO-47339 10.47297 IO-47255 10.47213 10.47171 10.47130 10.47088 10.47047 10.47005 10.46963 10.46922 10.46880 10.46839 10.46798 10.46756 10.46715: XC.j 10.46632 10.46591 10.46467 9-51227j^ 9-53656|4I 9.51264P/ 9.536971 Cof. Cot. Tang. Cof. D.j ' 60 59 9.97821 9.97817 9.97812 9.97808^ 9.97804IJ 9.97800! 10.48565 9-97796L 10.48522 9.9779214 10.48480 ~ 10.48437 10.48394 9-9778814 9-97784ir 9-977794 9-97775 9.97771 9.97767 9.97763 9-97759 9-97754 9-9775° 9.97746 9.97742 9-97738 9-97734 9.97729 9-97725 9.97721 9.977 x 7 9-97713 9.97708 9*97704 9.9770 9.97696 9.97691 9.97687 9.97683 9.97679 :9-97674 ’9.97670 ’9.97666 ‘9.97662 |9-97657 '9-97653 9-97649 '9.97645 ^9.97640 9.97636 j9-97632 9.97628 9.97623 9.97619 9.97615 9.97610 667319.97606 9.97602! 9-97597(4 10.46550 9.97593- 10.46508 "■-Q-^ 9-97589,5 9-97584L 10.46426 9.97580 10.463859.97576,? io-46344!9-9757iu 10.46303 9.97567 Sin. 71 Degrees. 58 57 56j 55 54 53 52 51 5° 49 48 47 46 45 44 43 42 41 39 38 37 36 35 34 33 32 31 3^ 29 28 27 26 25 24 2 22 21 20 19 18 x7 16 :5 M 13 12 11 10 19 Degrees. ' Sin. 09-51264 19-5I3°I 29.51338 39-5i374 49-514x1 59-5i447 69-5i484 9.5x520 9*5I557 9-5I593 9.51629 9.51666 9.5x702 Dll Tang. „ 9-53697 ??|'9-53738 19-53779 37 D.1 Cot. 10.46303 10.46262 10.46221 ^9-53820^(10.46180 ^ 6|9.5386i Tt|io.46i39 ?7 9-53902 9*53943 ^ 9.53984 ^(10.46098 37 “ >liQ.C4025 ^|9-5406j 37 26i9-54I47 36 9-54l87uIiio-458i3 j10-45853 t59-5i8ii 169.51847 I7i9-5i883 1 8|9-5i9i9 I99-5i955 2o!9-5i991 219-52027 229-52063 9.52099 9-52I35 9-52171 26 27 28 299 9.52207 9.52242 9.52278 523I4 309-52350 319-52385 329-52421 33 9-52456 349.52492 359-52527 369-52563 379-52598 389-52633 399.52669 4° 9-^5 2705 419.52740 9-5i738?6'9*54228!^i!io.45772 9-51774 o7i!9-54269?0|i0-45731 ^i9-54309|1T!IO-4569^ 41!: o6':9-5435o!4o i0-4565° 36 9-5439041 Tn 429-52775 439.52811 449.52846 459,5288i 469.52916 47 9-52951 489.52986 499.53021 509-5305636 519-53092 529.53126 53 9-53i6i 549-53I96 55 9-5323 J 569.53266 36 36 3 6 36 36 36 36 36 35 36 36 36 35 36 35 36 35 36 35 36 35 36 35 35 36 35 35 35 34 35i 35 35 35 ,9.55949 57 9-5330 Iu?i9-55989 ao 58 9-53336|^ |9-56o28 599-5337° 5? 9-56067 6o|9-534° 5 35 Cof. 9-54431 9-544 71 9-54512 9-54754 9-54794 9-54835 9-54875 9-54915 4° 41 !4° 9-54552U 9-54593i40 9-54633j4o 9-546734i 9-547i44o 40 41 4° 40 4° 4° 4° 40 40 4° 40 4° 40 40 4° 40 39 40 9-54955 9-54995 9-55035 9.55075 9-55II5 9-55I55 9-55r95 55235 9.55275 9-55315 9-55355 9-55395 9-55434 9-55474 9-555 M 9-55554 9-55593 9-55633 9-55673 9-55712 10.45610 io-45569 . . . . io-45529 9-97484 10.45448 X0.45407 xo.45367 iO'45327 j Cof. 9-97567 19-97563 19-9 7558 !9-975544 i9-9755°? 19-97545 1x0.4605719.97541 ^jio.4601619.97536 ?o'IO*45975 ?IlIO-45935 4I!io-45894 41, D. !9-97532 I9-97528 9-97523 9-975I9 9-975I5 9-97510 9.97506 9-975° 1 9.97497 9.97492 9.97488 10.45488 9-97479(4 10.4528619.97457 IO-45246!9-97453 10.45206 9.97448 10.45165 9-97444 xo.45125 „ 9-97439 10.45085 9.97435 9.97430 9-55752 [9-55791 9-55831 9-55870 9.55910 40 39 4 4° 39 40 39 40 39 40 39 40 9.56107 10.45045 10.4 cooc 10.44965 10.44925 10.44885 9.97426 9.97421 9.974x7 9-97412 9.97408 9-97403 9-97399 9-97394 9-9739° 10.44645 9-97385 10.44605 9.97381 xo.44845 10.44805 10.44765 10.44725 10.44685 10.44566 10.44526 9-97372 10.44486 10.44446 10.44407 1 o-44367 10.44327 10.44288 9-97475 9.97470 9.97466 9.97461 9-97376 9-97367 9-97363 9-97359 9-97353 9-97349 9-97344 10.44248(9.97340 10.442091 10.44x69! I0‘44I3°! 10.^40901 9-97335 9-97331 10.44051 10.44011 10.43972 ,io-43933 10.43893 Cot. Tang. 9.97326! 9.97322! 9-973171 r 9-97312!. 9-97308, r 9-97303:4 9.97299, Sin. 70 Degrees. 160! |59 I58 57 156 155 54 53 l3 2 .51 15° |49 48 '47 |46 .45 |44 43 '42 41 40 39 38 37 36 35 34 33 32 31 3^ 29 ,8 27 26 25! 24 23 22 P 2 116 LOGARITHMIC SINES AND TANGENTS. 20 Degrees. Sin. D. o9-534°5 19-5344° 29-53475 39-535°9 49-53544 59-53578 69-536l3 79-53647 89'5368?34 99-537i6.T I09-53751 35 Tang. D. 9.56107 Q. 156146 9.56185 9.56224 9.56264 9-563°3 9-56342 9-56381 9.156420 9-56459 9.56498 9-56537 9-56576 J3!9-566i5 ii;9-53785 i29-538i9 49-53888|3l 9-56654 I59-53922,o n 9-56693 39 39 39 40 39 39 39 39 39 39 39 Cot. Cof. D. io-43893 9-97299 IO-43854 9-97294 10.4^815 9.97289 10.43776 9-97285 i°-43736|9-9728° 10.4369719.97276 I69.53957UV9-56732 17 9-53991 l8j9-54°25 i99-54°59 209-54093 10^3658 9.97271 io.436i9!9.97266 io-4358° 1 °-43 541 jio-43502 9.97262 9-912 57 9-97252 9.97248 9-97 243 .|9-97238 I°-43346i9-97234 IO-433°7 9-54I27 9.54x61 239-54i95 249-54229 2j9-54263 269-54297 27 9-54331 289-54365 299-54399 30 9-54433 319.54466 329-54500 339-54534 349-54567 359.54601 369-54635 379.54668 389-54702 399-54735 409.54769 419.5480 429.54836 439.54869 449.54903 459-54936 9.5677- A 9.56810 9-56849 pt 9-56887 ^19.56926 24:9-56965 24:9-57°°4 9.57042 9.57081 3QiIO-43463 ^Uo.43424 ^i°-43385 39 39 39 39 39 38: 39 39 10.43268 10.43229 10.43190 10.43151 9/9 7229 9.97224 9.97220 9.97215 9.97210 10.43II3 9-972°6 10.43074 io.43035 10.42996 10.42958 10.42919 10.42880 10.42842 10.42803 10.42765 10.42726 9.97201 9.97x96 9-97192 9.97x87 9.97182 10.42688 9-97154 10.42649 9.97149 10,42611 10.42572 10.42534 xo.42419 9.97121 9.97x78 9-97I73 c 9.97x68 ^ 9-97163 9-97I59 9-97I45 9.97x40 9-97135 10.42496I9.97130 . 10.42457 9.97126^; 10.42381 io-42342 9-9711 6^ 9.971 xxj^ 60 59 5 8 57 56 55 54 53 52 51 5Q 49 48 47 46 45 44 43 42 4^ 40 39 38 37 36 35 34 33 32 31 31 29 28 27 26 24 23 22 21 20 9.97x071 9.97io2-) 469.54969 479-55003 489-55036 499-55o69 509.55x02 5i9-55i36 52|9-55i69 53 9-55202 54 9-55235 559.55268 34 33 33. 34 33 33 33 34 33 33 33: 33 33 33' 33 33 609.55433133 i9-57696i28 Io-423°4 ^!9'57734lo8IO-42266 , . . 8819.577721^10.42228 9.97097 9-578lo'3QiIo-42I9c,ii9-97092 19.57849 ^ ^xo.42151 9-97o87 569-55301 579-55334 589-55367 599.55400 9-57887 o8'IO-42II3 9-97o83L 9-57925 ^jio.42075 9.97078 ^ |9-57963 q8iI0,42037 9-97073 ^ 9.58001 Oglio.41999 9.97068^ 9-58039 8^10.41961 9.97063 9.58077 :i9-58ii5 9-58i53 9.58191 9.58229 Cof. 9-97059 i9-97054 9. C8267 9-58304 9-58342 9.58380 9.584x8 38!10-41^3 OQlio.41885 ~8jIO-4l847 9-97°49 8g|xo.4i8o9| 9.97044 8 glio^iTTil 9.97039 o JIo-4I733j ^104.696 0 ,10.41620 8 iio.4i582( Cot. Tan' 9-97035 9.97030 9.97025 9.97020 9.97015 Sin. !9 18 J7 16 15 !4 !3 12 11 IO Sin. D. 9-55433 9.55466 9-55499 3 9-55532 4 9.55564 5 9-55597 69 Degrees. 6 9-55630 7 9-55663 8 9-55695 99-55728 I09-5576I Tang. 21 Degrees. D. 9.58418 9-58455 9-58493 9-58531 9-58569^ 9.58606^ Cot. 11 9-55793 12 9.55826 13 9-55858 149.55891 i5 9-55923 i69-55956 17 9-55988 18 9.56021 199-56053 9-56085 9.561x8 9-56150. 239.561820 249.56215 259-56247 269.56279 279.56311 289.56343 40 41 9-56759 429.56790 439.56822 449.56854 459.568868 10.41582 10.41545 10.41507 10.41469 10.41431 io-4I394 10.4x356 10.41319 10.41281 10.41243 10.41206 Cof. D. 9.970x5 9.97010 9.97005 9.97001 9.96996 9.96991 10.41168 10.41131 10.41093 9.96986 9.96981 9.96976 9.96971 9.96966 9.96962 9-96957 9.96952 9-590i9l„ 9-59056|^ 9.59094 0 |9-59I3I 9‘59i68 9-59205 9-59243 9.59280 9-5935 7 9-59354 29 9-56375 3^ 30 9.56408 yy 319.56440 329.564720 33 9-56504^ 34 9-565368 35 9.565688j 369-56599,2 379-56631^2 38 9.5666382 9-59391 9-59429 „ 9.59466I' 9-59503 9-59540 399.566958^ 9.59872 9.56727 469.569x7 9.56949 9.56980 499-57012 9-57044 9-57075 9.57x07 9-57I38 9.57x69 9.57201 9-57232 9.57264 589.57295 9-5732 9-5735 10.41056 9.96947 10.41019 9.96942 10.40981 10.40944 10.40906 10.40869 10.40832 10.40795 IO-4°757 10.40720 10.40683 10.40646 9-59577 9.59614 9-59651 . 9-5968887 9-59725 9.59762 9-59799 9-59835 10.40609 10.40571 10.40534 9.59909 31 32 31 S2 32 31 32 31 31 32j 31! 32 31 9.59946 9-59983 9.60019 9.60056 9.60093 9.60130 9.60166 9.60203 9.60240 9.60276 37 37 37 36 37 37 37 37 36 37 37 37 9-96937 9.96932 9.96927 9.96922 9.96917 9.96912 9.96907 19.96903 19.96898 i9-96893 19.96888 I9.96883 19.96878 10.4049719.96873 10.4046019.96868 10.40423 10.40386 10.40349 10.40312 10.40275 I9-96863 '9.968 58 9-96853 9.96848 9.96843 10.40238 10.40201 10.40165 10.40128 10.40091 10.40054 10.40017 10.39981 10.39944 io-39907‘9-96793 9.96838 9-96833 9.96828 9.96823 9.96818 8 9.96813 9.96808 9.96803 *9-96798 10.39870 io-39834 10.39797 10.39760 10.39724 681 S32 Cof. 9.60313 9.60349 9.60386 9.60422 9-60459^ 37 36 37 36 10.39687 10.39651 60 59 58 57 56 11 54 53 52 51 IS 49 48 47 46 11 44 43 42 41 40 39 38 37 36 35 34 33 32 31 IS 29 28 27 26 SI 24 23 22 21 20 9.96788 9-96783 . 9.96778° 9.96772; 19.96767 V 9.96762 9-96.757 IO.39614 9.96752 10.39578'9-96747 9.60495 19.60532 9.60568 9.60605 I9.6064I Cot. iQ-39541 io.39505 10.39468 10.39432 !9-96737 19.96732 _ 9-96727 io-3939519-96722 10-39359 Tang. i9-96742 9-96717 Sin. 10 68 Degrees. LOGARITHMIC SINES AND TANGENTS. Degre 09-57358 9-573°9 29.5742° 39-57451 49.57482 59-575I4 Sin- 69-57545 7 9-57576 89.57607 99-57638 109.57669 11 0.1:7700 129.57731 !3 9-57762 M9-57793 I59’57824 Tang. Cot. 9-967I76 i9-96711 ■Hi 10.39286 9.96706 3^10.39250 9.96701 lio.392i4|9.96696 9.60641 6 10.39359 9.60677^110.39323 9.60714 9.60750 9.60786 9.60823 169.57855 i79-57885 i89-579i6 199-57947 9-57978 9.58008 9-58o39 9.58070 249.58101 259-58i3i 31 31 31 31 31 31 31 31 3° 31 9.60859 9.60895 9.6093 9.60967 9.61004 23 9.58162 9.58192 289.58223 9-58253 9.58284 9-583i4 . 9-58345 33 9-58375 9. C8406 9-58436 Cof. 37!io-39i77 9.96691 5 9.61040 9.61076 9.61112 9.61148 9.61184 10.39141 9.96686 10.39105 9.96681 10.39069 9.96676^ 10.39033 9.96670 10.38996 9.96665 3 10.38960 10.38924 369.58467 379.58497 389-58527 9-58557 9.58588 9.58618 9.58648 9.58678 449.58709 45 31 31 3° 31 31 31 3° 31 3° 31 3° 31 3° 3 3° 31 3° 31 3 3° 3° 31 3° 3° 3° 31 3° S6 36 36 36 36 36 9.61472 9.61508 9.61544 9.61220 9.61256 9.61292 9.61328 9.61364 10.38780 io-38744 10.38708 9-5873930 36 36 36 . 35 9-61579.6 9.616158 9.61651 9.61687 9.61722 10.38421 10.38385 10.38349 . 10.38313'9.96567 36 9.61758 9'«T436 9.6183O J 9.61865 9.619OI l9-6l936 9.6l972 9.62OO8 9-62043 9.62079 469-58769! 479-58799l30 489.5882918 499-58859li,o 9-58889^ 9.621 I4 9.62150 9.62185^ 9.62221 9-62256^ 50 9'5o9I93o - 9-^9493o 53 9-58979 30 9-59009 30 9-59Q39i3o 569.5906929 579-59098 589-59i28 599-59i58:3o 609.591881 Cof. 9.62292 9.62327 9.62362 9.62398 9-62433 9.62468 9.62504 9-62539 9.62574 9.62609 9.96660 9-96655 10.38888 9.96650 8 10.38852 9.96645 8 10.38816 9.96640 9.96634 9.96629 9.96624 10.38672 9.966198 10.38636 10.386009.96608 10.3856419.96603 8 10.385289.96598^ I0.38492 9.96593-5 10.384569.96588^ 10.38278 10.38242 10.38206 10.38170 10.38135 10.38099 10.38064 9.9658 9-96577 9.96572 9-96562^ 9-96556 9-9655 9.96546 9.9654 9-96535 9-9653° 10.37886 io.37850 io-378i5 9-96493 10-37779 10.37744 9.62645 9.62680 9.62715 9.62750 9.62785 35 35 36 35 35 36 35 35 35 36 35 35 35 35 io-377o8 10.37673 10.37638 10.37602 10.37567 IO-37532 10.37496 10.37461 10.37426 10-37391 Cot. 10-37355 10.37320 10.38028 9.96525 10.37992 9.96520^ 10-37957 9-965I4r 10.37921 9-965095 9-965046 9.96498 ^ 5 5 9.96488 9-964836 9.96477 9.96472 9-964676 9.96461 9.96456 9.9645 9.96445 19.96440 9-96435 6 ,9.96429 60 59 58 57 56 55 54 53 52 5i 5° 49j 48 47 i 46! 45| 44! 431 42! 41 —j 39; 38| H 35 34 33, 32 31 30 29! 28 27' 26! 24 23 22 21 20 19 18 16 £5 J4 13 12 9.96424 9.96419 io-37285 9-96413 10.37250,9.96408 10.37215 9-96403 Tang. Sin. 67 Degrees. 9-595i42Q 12 9-59543 ,0 39-59573 2q 49-596o2 J 59.59632P 169.59661 7 9-59690 18 9.59720 199-59749 9-59778 23 Degrees. Sin. |D. 9-59I88! ; ]9-®2l8ia9 2|9-59247',oi 3°i 13°, 29 3° 3|9-59277i 49-593°7 5!9-59336 69-59366 9-5939 89.59425 99-59455 20 0 9-59484 ^ Tang. D.; Cot. 9 9.62855. i3 5| 35! 10.37145 9.628901^110.37110 9.62926!° 410.37074 9.62961^10.37039 63°!99:63^fc 29i 9.63066 10.37004 10.36969 10.36934 Cof. jD.r 9.62785! ]10.37215!9.96403^ 60 .628203-; 10.37180 9-96397 59 9.963923 58 9-963876 '57 9.96381 9.96376 9.96370 9-96365 9.96360 10.36899 9.96354 20 23 9. C9808 9-59837 9.59866 249-59895 2519-59924 9-63345 9-63379 9-634i4 2q|9-634o935 9-634843 5 269.59954 279-59983 289.60012 9.60041 9.60070 38 9.600991 9.60128 9.60157 9.60186 9.60215 9.60244 9.60273 9.60302 399.60331 409.60359 41 42 43 44 45 9.60388 9.60417 9.60446 9.60474 9.60503 469.60532 47 29 29! 29! 29 3° 29 29 291 29 29 29 29 29 29 29 29 29 29 28 9-63519 9-63553 9.63588 9.6056: 489.60589 9.60618 9.60646 9.63623 9-63657 9.63692 9.63726 9.63761 9.63796 9.63830 9.63865 9.63899 9-63934 9.63968 9.64003 9.60675 9.60704 9.60732 9.6076 9.60789 9.64037 9.64072 9.64106 9.64140 9.64175 9.64209 9.64243 9.64278 19.64312 (9.64346 10.36865 10.36830 10.36795 10.36760 10.36725 10.36690 10.36655 10.36621 10.36586 10.36551 10.36516 9.96349 9-96343 9-96338 9-96333 9.96327 9-96322 ^ 9.96316 9.96311 9-96305 9.96300 9.96294 35 35 34 35 34 35 35 34 35 34 35 34 35 34 35 34 34 35 34 34 35 34 10.36481 10.36447! 10.36412 10.36377 10.36343 10.36208 .36274 10.36239 10.36204 10.36170 9.96289 9.96284 9.96278 9.96273 9.96267 9.96262 9.96256 9.96251 9.96245 9.96240 10.36135 10.36101 10.36066 10.36032 10-35997 io-35963 10.35928 10.35894 10.35860 10.358259.96185 9.96234 9.96229 9.96223 9.96218° 9.96212 9.96207 9.96201 9.96196 9.96190 9.64381 9.64415 9.64449 9.64483 9.64517 34 1035654 34 10.35483 !9-64552 9.64586 9.64620 9.64654 9.64688 569.60818 2g 19.64722 579.60846 9.64756 589.60875^ 9.64790 599.60903!^ n-6/t8'2/i 60 9.60931| Cof. 9.64824 9.64858 IIO.35619 Ji°.35585 34iIO-3555i 3410.35517 35 34 34 34 34 34 34 34 34 34 Cot. 10.35448 10.35414 10.35380 56 33 54 53 52 51 49 48 47 46 45 44 43 42 41 40 39 38 37 S6 35 34 33 32 31 3£ 29 28 io.3579Ii9-96i79 10.35757 io-35722j 10.35688 9.96174° 9.96168^ 9.961624 9-96.57 6< 9.96151 9.96146° 9.96140 9-96i356 9-96129^ 9.96123 9.96118° 9.96112 io.35346! 9-96107 6 10-35312 9.96101 10.35278 10.35244 10.35210 10.35176 10.35142 Tang. 9.96095 9.96090° 9.96084 9-960796 9.96073 Sin. 6 6 Degrees. ll7 ii 8 LOGARITHMIC SINES AND TANGENTS. 24 Degrees. Sin. 9.00941 9.6096 9.60988 9.61016 49.61045 59.61073 69.61101 79.61129 89.61158 99.61x86 109.61214 'i'ang. jD. 9.648581 9.64892:^2 9.64926i:S^ 9.64960^110.35040 9.64994 ^ 10.35006 9.96050 9.65028!34— y • ]34 28 xi 9.61242 129.61270 13 9.61298 149.61326 i59-6i3^4 169.61382 179.61411 89-61438 199.61466 209.61494 21 9.61522^ 29-6155028 239.61578 249.61606 29 28 28 29 28 28 28ji9-65o62j i29i;9-6s°96,4 2¥'^IJ0!34 28 9'«3iS45’ , I. ;9.6519714 |9-6523I 9.65265 9.65299 9-65333 9.65360 Cot. 10.35142 10.35108 10-35°74| 9-96073^ 9.96067, 9.96062^ 9-96056:5 IO-34972i 28 9.65568 9.65602 9.65636 28 9,65669 25 9-61634 9a 9-65703 28 20 9-65400 2^! 9-65434 9.65467 9.6 f COX 28i 9-65535 269.61662 279.61689 289.6x7x7 299.61745 qo 9.61773 31 9.6x800 329.61828 33 9.61856 349.61883 359:61911 369.61939 379.61966 389.61994 399.62021 409.62049 4x9.62079 429.62104 439.62131 449.62x59 459.62186 469.62214 479.62241 489.62268 499.62296 509.62323 519.62350 529.62377 539.62405 549.62432 ' 559.62459 6 27 27 28 28, 28 27 28 28 27 28 28 27 28 27 28 2 7 28 27 28 2 7 28 27 27 28 27 27 9-65736 9.6577° 9.65803 9-65837 9.65870 9.65904 9-65937 9.65971 9.66004 9.66038 34 34 34 33 34 34 33 34 34 33 34 34 33 34 33 34 33 34 33 34 33 34 33 34 33 33 xo.34938 x 0.34904 10.34870! 10.34836! 10.34803! 9.96017!^ io.34769,,9-96oii6 IO-34735 9*96005 Cof. iD. 9.96045^ 9.96039 9*96034^ 9.960285 9.96022 10.34701 10.34667 10.34634 9.66071 9.66104 9.66138 ^ 9.66171 9.66204 9.66238 9.66271 9.66304 9.66337 9.66371 xo.34432 10.34398 io*34364 IO-34297 io-34264 10.34230 10.34197 io*34j63 10.3413019.95902 9.96000:5 9-959946 9.959885 10.3460c 9.95982 10.34566 9.95977 IO*34533 9-95971 1 o*34499 9*95965 , 10.34465 9*95960 6 19*959546 (9*959486 9*95942 r |9*95937 6 TP 5931 6 9*95925 r j9-959206 9*959i46 9-959085 10.34096 10.34063 9.66404 9.66437 9.66470 9.66503 9*66537 9*66570 9.66603P0 9.66636fJ‘' 9.66669 s33 9.66702s33 33 33 34 33 33 33 34 33 331 33 33 34 33 10.34029 9.95885 io*33996 19*958795 10*3396219*95873 10.33929 10.33896 10.33862 10.32829 19:13 796 °*3376 i°*33729 10.33696 io*33663 10*33629 9*95815 io*33596 (9*958976 !9*9589l 6 .9.95868^ 9*958625 19*958565 !9*9585°5 19*95844 i9*95839 !9*95833 !9*95827 9.95821 '9*95810 io*33563 19*95804 I0•33530,9*95798 IO*33497'9*957925 io*33463 9-95786 569.624861^; 9.66735 ,'33 57!9.625i3!^!p.66768:33 58:9.62541; ^,9.66801 o3 599-62568j^!j9.66834i33 6oj9.62595r6'9.66867,33 cS ' ,*33397| 9*95775 5 *33364 9*95769L I0*33430,9*9578o 10 co IO*33331 9-95763I5 10.33298,9.95757^ Io*33265|i9.9575iL 10.33 232'9.95745; 10.33 x 99; 9.95739, io*33i66;9.95733; |l Cot. * i Tang. 9*95728 60 59 58| 57 i 56 33 54 53, 52 51 50 49i 48; 47; 46: 45! 44! 43 42 41 39 38 37 36 33 34 33 32 31 3_o 9 28 27 26 25 24 23 1 20 19 18 z7 16 15 12 11 10 9 8 7 6 A 4! 3! ?! o! Sin. 65 Degi 25 Degrees. D.|! Tang. D.( Cot. |r Cof. |D.| 2 '9.66867; 7;9.669oo|33 11 9.6289: 129.62918 139.62945 149.62972! 5 9.62999 A 16 9.63026] J : 17 9.63052! 189*63079! 199.63106^1 209.63133 IO*33r33 9*95728!6 ,10.331009.957225 27l9*66933P^io.33d6^9-957i6,5 27! 9*66966Pi;io.33034j 9.957 xo;6 27 9*66999^ IO.33001 9.9570415 A 9*6703 2g 10.32968 9.95698:^ 0 719-67065; IO.3 293 519.95692 5 "7 9.67098 33 IO.32902 9.956865 IO.3 2869 9.95680 5 Io.32837;9.956746 10.32804 9.95668 9.67131 9.67163 9.67196' 269.63292 7 9*63319 289*63345 9*63372 9*63398 29 3° 9'63425 26 9.63451 9*63478 ^ 349.63504 3 5 9*63 531 3T 32 33 369*63557 379*63583 9.636x0 399.63636 9.63662 9.63689 9*63 715 9.63741 9.63767 9*63794 9.63820 9.63846 489.63872 499.63898 509.63924 9.67719 9.67752 9.67785 9.67817 '9.67850 9.63950 9.65976 9.64002 549.64028 559.64054 569.6408c 579.64106 589.64132 599.64158 609.64184 Cof. (9.67882 9.679x5 9*67947 19.67980 9.68012 10.32771 10.32738 IO*327°5 9*95663 6 9*95657 9*95651 ro.32673 9.95645 10.32740,9.93639 10.326079.95633 IO*32574 IO*32542i I0*32509 9.9562 9.95621 ^ 9*956i56 10.32476:9.9560 10.32444 10.32411 '9.68044 9.68077 33 9.68109 9.68142 19.68174 9.68206 9.68239 9.68271 9.68303 9*68336 9.68368 |9.68400 , . 9*6843 2 269-68465 26:9-68497 9.68 529 9.68561 9.68593 9.68626 9.68658 9.68690 9.68722 9.68754 9.68786 9.68818 Cot. io*32378 9-95591 5 x°.32346 10.32281 9*95585 9*95579 9*95573 10.322489.95567 10.32215 9.95561 10.32183 IO*32I5° 9*95555 9*95545 io.32ii8j9.95543 10.32085 9*95537 I0*32053'9*95531 xc.32020 9*95525 10.319889.05519 io*3i956 9.95513 10.31923 10. 9-95507 _ , 9*95500 10.31858 9*95494 10.31826 9.95488 I1S91 10*3x794 10.31761 10.31720 xo.31697 10.31664 1 °*3163 2 x 0.3160c 10.31568 1 °*3153 5 1 °*31503 10.31471 io*3i439 10.31407 Io*3I’374 10.31342 10.31310 A10.31278 A!10,31246 0 ’10.31214 32; Tang. 9-95603 9*955976 9.95482 9*95476 9*9547° 9.95464 9*95458 9*9545-2 9.95446 9.95440 9*95434 9*95427 6 6 6 7 6 6 6 6 6 6 9-95391 . >9*953 84:7 9*9 5378!^ 19*95372;° 9.95421 9*9 5415 9.95409 9-95403 9-95397 10.31182 9.95366;° 60 59 58 57 56 55, 54 53 5 2 51 5p 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 3 2 31 30 29 28 27 26 A 24 23: 22| 21 20 l9 18 ‘7 16 £5 14 x; I 2 I] 10 9 8 h* / 6 5 4 3 2 1 o Sin. 64 Degr.es. 2 LOGARITHMIC SINES AND TANGENTS. 26 Degrees. ' | Sim. j-P-I i-ang. D C|PITN:26 9-68818' 19.642X0 .9.68850^ ^.64236-^9^2^ 4,9.64288 20'‘ " S'9-64313 69-64339 79-64365 8 9-64391 09.64417 109-64442 2 c 5 26 2<'9-69647 19.69679 ‘9.69710 '9.69742 19-69774 31:9.64978^99-69805 329.650031^9.69837 33 9.650291 9.69868 34;9-65054;2''!9-699oo 3 5*9-65° 79; 19-6993 2 169.64596 7^.64622 8,9.64647 9.9-64673 2ol9-64698 2ij9-64724 ;9-64749 (239-64775 24I9.64800 21119.64826 26! 26!i9^9°10 26 26 25 26: 9.69042 9.69074 9.69106 9.69138 269-69i7° ^ 19.69202 :S9-69234 ~%.69266 j9-69298 4'9-69393 2 j 9-69425 4i9-69457 , 9-69488 25i 9-695 20 9-69552 9.69584 9.69615 369.65104 3719-6513° 38I9,65I55 399.65180 409.65205 4I1!9-6523° 4^9-65255 439.65281 449.65306 4519-65331 4619-65356 47i9-65381 489.65406 499-6543^ 50,9.654^6 519.65481 52I9.65506 53|,9-6553i 549-65556 559-6558° 51 26 25 25 25 25 2 5 26 569.65605 579.65630 58 9-65655 965680 609.65705 Col. I 5 25 25 25 2^ 25 -5 25 25 25 24 25 25 25 2 2J 19.69963 9-69995 9.70026 9-7°°58 9.70089 9.70121 9.70152 9.70184 9.702151 9.70247 9.70278 9-7°3°9 9.7034! 9.70372 9.70404 9-7043,^ 9.70466^ 9.70498"0 9.70529 9.70560 2 2 ;|32 S2 32 S2 32 32 S2 32 32 32 31 S2 32 32 32 31 32 32 32 31 32 32 31 32 32 31 32 31 S2 32 31 32 31 S2 31 32 31 32 31 r 32 31 31 32 31 32 31 Cot. 10.31182 10.3 n 50 10.31118 10.310S6 Col. D. 9'95366':6 '9-9536% 9-95354\6 9-9534% 10.31054:9.95341^ 10.3102,219.95335U 19-95329(5 *9-95323 6 9-953ll h 9-953I06 9-95304^ 10.30990 IO-3°958 10.30926 10.30894 10.30862 10.30830 10.30798 10.30766 I0-3o734 10.30702 9.70592 9.70625 9.70654 9.70655 9-7°7I7 Cot. ic.30671 10.30639 10.30607 10-3057 5 IO-30543 9-952986 9-95292 6 9.95286° 9-952796 9-95273 10.30512 10.30480 10.3 0448 10.30416 I0-30385 io-3°353 10.30321 10.30290 io-3°258 10.30226 10.30x95 10.30163 10.30132 10.30100 10.30068 9-95i736 9-95167 9-9 5160^ 9-9 5154 6 9.95148 10.30037 10.30005 10.29974 10.29942 10.29911 10.29879 10.29848 10.29816 10.29785 I0-29753 9-95I41 6 9-95I35 6 9.95129 9-95i226 9-95116 ^ 10.29722 10.29691 10.29659 10.29628 10.29596 10.29 c6 f xo.29534 10.29502 10.29471 10.29440 10.29408 IO-29377 10.29346 10.29315 10.29283 Tang. 9-952676 9-9526i 9-952546 9-9 5 248 6 9-95242 6 9-95236 9-95*296 9-95**3 6 9-9$ 217 6 9.952x1 9-95204 6 9-95i986 9-95i92 h 9-95i85 6 9-95i796 9.951x0 9-95io3 6 9-9 509717 9-95090 6 9-9 5o84 6 9-95078 9-9507% 9-95o65 6 9-95059 9-9 50 5* 6 9.95046 9-95039 6 9-95°33 6 9.95027 9-95Q20 6 9-95OI4 9-95oo7 ^ 9.950016 9-94995 7 9-94988 7 Sin. 60 59 18 57 56 55 54 53 52 51 P 49 48 47 46 45 44 43 42 41 40 39 58 37 36 35 34 33 52 31 32 29 28 27 26 5 24 23 22 21 20 19 18 l7 16 £5 J4 !3 12 11 10 63 Degrees. Sin. 09-65705 19.65729 j Ta»g- D 24|9’7°7i7 25I9”7074^3 27 Degrees. 25 19.70779 29-65754 39-6577$ y. , 49.6580422|9.7084l0 5 9-65828 9-70-873 j 69-65853 9.65878 89.65902 99.65927 12 2i659 53 119.659761 129.66001 39.66025 49.66050 159.66075 69.66099 179.66124 189.66148 199.66173 20I9.66I97 21 9.66221 29.66246 239.66270 2^9.66295 519.66319 269.66343 279.66368 289.66392 299.66416 309.66441 319.66465 329.66489 339-66513 349-66537 359.66562 369.66586 379.66610 389.66634 399.66658 409.66682 41 9.66706 429.66731 439-6675.5 449.66779 459.66803 469-66827 479.66851 489.66875 499.66899 509.66922 519.66946 529.66970 539,66994 549-67OI8o4 5519.670142 5619.67066 5719.67090 589.67113 S'9 9.67137 609.67161 Cof. 9-7 7i524 9-71555 3T 9.7x5868 2}i9-7I6i7 9.7x648 24!9-7i679 9-7I7°9 7x740 9-7I77i 9.7i8o2jO D.i Cot. 9.7o8io3I 2 131 9-70904b 9-70935^ 9.70966J0 i9-7°997j81 1028: ■ 31 r J31 31 32 31 31 Co!'. jD.i 10.29283 '10.29252 10.29221 10.29100 9.94060! x0.29159 9.94962^ '10.291279.94956I 9.94988;^ 9-94982* 9-94975(5 31 9-71059; 9.7x09 9.7x121 9-7II53 19-71184 19.71215 9.71246° 9-71277 9-7I3°88 9-7i3393I 31 3° 31 31 3i 31 9.71370 9.71401 9.7x431 9.71462 9*71493 10.29096,9.94949;^ 10.29065'9.94943 7 x 0.29034; 9.9493 6^ 10.2900319.94930 10.28972^9.94923 10.28941 9.94917 10.28910j9.949n 10.28879:9.94904 10.28847119.94898 10.288161:9.94891 .28:785 9.94885 10 10.28754; 9.94878 10.28723' 10.28692 xo. 9-9487; , ,9-94865 866119.94858^ 9.71986 9.72017 9.720488 9.720783° 9.72109 9.72140 9.72170 9.72201 9.72231 9.72262 9.72293 9-72323 9-72354 9-72384 9.72415 9-7244 , 9.72476°^ 9.72506"° 24 9'72337 'I9-72567 Cot. 31 9-7i833 9-71863 3 9.7x894-D 9.7x925 7l955 io.2863o’;9.94852 1o-28599i;9-94845 10.28 ^60:9.94839 Io-28538j9-94832 10.28 50719.94826 io.28476!9.948i9^ 10.28445 10.28414 10.28383’ io-2S352 10.28321 10.28291 10.28260 9.94813 9.94806 9-947996 9-94793 10.28229 9.94767 10.28198 9.94760 10.28167 10.28137 10.28106 10.28075 10.28045 10.280x4 10.27983 xo.27952 10.27922 xo.27891 10.27860 10.27830 10.27799 1769 X0.2 xo-27738 10.27707 10.276779.94647 10.27646 10.27616 10-27585 IO-27555 10.27524 IO-27494 ro.27463 1Q-27433 tang. 9.94786 9.94780 9-94773 6 9-94753 9-94747 9.94740 9-94734 9.94727 I9.94720 |9-947I4 9.94707 19-94700 9.94694 9.94687 9.94680 ^ <>94674 9.94667 9.94660 :9-94654 9.94640 ^•94634. 9-94627!' 9.94620' 9.94614! 9.94607I' 9.94600' 9-94593 7 Sin. 60 59 58 '57 6 33 54 53 52 151 5£ 49 48 47 46 45 44 43 42, 41 4£ 39 38 37 36 33 34 33 34 1 351 29 28 2 26 25 24 23 22 21 20 *9 18 *7 16 l4 13 12 11 10 9 8 7 6 62 Degrees. 4120 28 Degrees. ' I' Sin. o 9.67*61 1 9.67185 29.67208 3,9.67252 49-67256 9:9.67280 6 9.67303 D. Tang. ID. J9-72567L ^,9.72598- 2j 9*72628 ^ 9-72659 2Ji9-72689 19-72720 3 9.727CO 7 9.67327 2^| 9.7 2780 8 9.673 90 99-67374 10,9.67398 11 9.67421 12 9.6744 c 13 9.67468 14,9.67492 r5 9-^7515 0.72811 ^9-7 2841 2^19‘7 2872 16,9.67539 17,9.67 962 18 9.67 986 19 9.67609 20:9.67633 21I9.67656 22 9.67680 23:9.67703 24 9.67726 25!9-<>775.o 269.67773 77 9.67796 28 9.67820 9.72902 24| 9.72932 9.72963 ^ 9-72993 ^9-73°23 23 24 23 24 23 24 23 23 9.67843 .67866 0.67890 9.67959 23 6198223 24 16 47 5° Cot. Cof. ! 9.94580 9*94573 9-94567 9.7 3° 54 9.73084 9"73II4 9-73I44 9-73175 '9.73205 9.73235 9.73265 9.73205 9.73326 29 3° 31 32 33 35 3 5 ____ 36 9.68006 .68o29|23 :38 9.68052 ~~ 9.68075 9.68098 9.68121 9.68144 9.68167 9.68190 45 9.68213 9.68237 9.68260 9.68283 9.68305 9.68328 2 3 9-73346 9-733^6 9-7341 9.73446 9.73476 9.73507 9.73537 9.73567 9-73 597 9-73627 9.756 9.73687 9.757-7 9.72747 9.73777 3° 31 30 31 3° 3° 31 3° 3° 31 3° 3° 3° 31 3° 3° 3° 3° 31 3° 30 6 30 3° 3° 31 3° 3° 3° 3° 3° 3° io.27433|9.94593 10.27402(9.94587 10.27372 10.27341 10.27311 10.27280 10.27250 10.27220 10:27189 10.27159 10.27128 10.27098 10.27068 10.-270-3 7 10.27007 - w - — y / ^ ^ ^ ^ IO.26977 19.94492 IO.26946'9.94485 6 IO.26916 10.26886 IO.26856 10.26825 IO.26795 IO.26765 io.26735! 10.26705 10.26674 ,i3( 9.73807 9.73837 9.73867 23 9.73897 ' ”9.73927 9.68351 529.68374 39.68397 4 9.68420 _' 0.68443 56,9.68466 ,570.68480 58 9.68512 599.68534 6° 9,68557 Cof. 9.739 c7 9.73087 9.74017 9.74047 9.74077 9.74107 9-74I37 9.74166 9.74196 9.74226 3° 9.9456o; 9*945 53 j7 19.94546,6 |9.94 54°|7 :9.94533 7 9.94526 9-94 5I9 6 !9.94513 (9.94506 (9.94499 7 10.26644 10.26614 10.26584 10.26554 10.26524 9.94479 9.94472 9.94465 ,9‘94458 9.94451 9.94445 19-9443 8 9-94431 9.94424 10.26493 10.26463 10.26433! 10.26403! 10-26373 io-26343 10.26313 10.26283 10.26253 10.26223 10.26193 10.26163 10.26133 9.94417 9.94410 9-94404]7 9-94397j7 9-9439° h 9-94383>7 9-943767 9-94369,7 9-94362:; 9-94355 6 9-94349' 9-94342 9-94335 9-94328 9.94321 9.742 56 9.74286 9*7431 ' 9.74345 9-74375 Cot. 3° 3° 3° 3° 29 3° 3° 3° 3° 6 30 2 9 3° 9-943 T4 7 9-943°7:7 9-943°°|7 10.26103! 9.94293!; io.26o73;|9.94"86| ' 9.94279^ 9.94273 u 9.94266 (7 9*94259*' 10.26043 10.26013 5° 10.25983 i°.2.5953 10.2 5923 10.25893 10.25863 10.25834 10.25804 10.25774 10.25744 10.25714 10.25684 10.25655 10.25625 Tang. 9-94252 9.94245 9.94238 V Q.94231 (9.94224 (0.94217 60 59 5 8 57 56 55 54 53 52 51 5° 49 48 47 46 45 44 43 42 41 4^ 32 3 8 37 36 35 34 33 32 31 3° 20 28 27 26 25 24 23 22 21 20 10 18 17 16 9.94210 9.94203 9.94106,7 0.94189 7 (9.94182 7 Sin. 10 rw 29 Degrees. 89.68739 9.68762 109.68784 11 9.68807 12 9.68829 3 9.68852 149.68875 159.68897 169.68920 79.68942 189.68965 99.68987 209-69010 21 9-69032 229.69055 23 9-69077 249.69IOO 259.69122 ^69.69144 279.69167 9.69189 9.69212 9-69234 Sin. D. 9-68557 9.68580 29.68603 39.68625 4 9.6S648! 3 5(9.68671 ?3 9-74375 ;9-74405 :9-74435 9-74465 9-74494 9.74524 6(9.68694 22 23 - |23 99.68762^ 23 22 23 23 22 23 22 23 22 23 22 Tang. D-l Cut. 9-74554 (9"74583 9-74613 (9.74645 9-74673 9.74702 9-74732 9.74762 9-7479^ ,9.74821 10.25625 0 110.25595 30:I0.25565 301 J ■Xn IO-25535 "10.25 506 8°:io.2 5476 3°|—-- g 2Q!IO-25446 ^40.25417 35IO-25387 Cof. 19.94182 (9-94I75 19.94168 (9.94161 (9.94154 9.94147 ,9.94140 ;>9-94l33~ ;9.94i26' io-25357 ■9-94II9(Z 29—25327:T94^2' iio-252v 8,9.94105 10.25268 (9.94098 / 9.69256 9.69279 9.69301 349.69323 9.69345 ,69.69368 l , .9.69390” 58 9.69412 9.69434 0.69456 29 3° — 3° 9-7485I 2Q 9-7488C® 9.74910 20 9-74939Uo 9.7496929 10:2 5238 9.94090, 10.2520919.940837 10.25179 9.94076 ' 10.25149 10:25120 10.25090 10.2-5061 10.25031 9-74998 30 9.75028^ 9.75058:3 9-75o87i3o 9.75II7j29 10.25002'9.94034 io.24972i 10.24942 10.249131 10.24883(9.94005 9-75i4«i,0 9-75n6,C 9-7J2°5Uo 9-7523J,-Xn 9-75264(35 9-75^94l29 9.75323Lo 9-75353 20 9.75382^ 9*7 C411 30 9.69479 9.69501 9.69523 9-69545 9-69567 9-69589 9.69611 489-69633 9.69655 9-69677 9.69699 9.69721 _ 9-69743 549-69765 559^9787 c6 9.69809 ;*7jo.69831,22 c8j9-69853 22 CQ9-69875 60,9.69897 2 Cof. 10.24854 10.2482419.93991 10.24795 10.24765 9-93977 io.24736(9.9397o 10.24706 9-75441! 9.75470,^ 9.7550o;^ 9:75558^ 9-7573 5 9-75764^ |9"7 5793 2q 9-75822! 9 9.758523o 9.75588 9.75617 " 9.7564730 9.7567^9 9.75707^ 9.94069 9.94062 ' 9.94055? 9.94048; 9.94041 * 9.94027 9.94020^ 9.94012 9.93998 9.93984 9.93963 10.24677; 9-93955 10.24647 9.93948 10.24618 9-93941 10.24589(9-93934 10.24559 9.93927 9.75881 9-75910 9-75939 9.75969 0.7 5998 10.24412 10.24383 10-243 53 10.24324 10.24295 10.24265 10.24236 10.24207 10.24178 10.24148 10.24090 10.24061 10.24031 610.24002 10.24530 9.93920' 10.24500,9-93912 ^ 10.2447c 9-939°5 10.24442 9.93898 9-93891- 9.93884V 9-93876L 9.93869? 9.93862' 9-93855 9-938471; 9-93840!; 9-93833;; 9.93826 V 60 59 58; 57 36 55 :>4 53 52 51 5° 49 48 47 46 45 44 43 42 41 4_o 39 38 37 36 35 34 33 32 31 3? 29 28 27 26 ^5 24 23 22 21 IO.241199.9381912 9.93811 ° 9.93804? 9-93797 Z 9-93789^ 2^iIO-2397319.93782! 2910.2394419-93775;? 3° io.239i4p9-93768 ; 29!io.2388i:j,9.9376oH 29! 1 o. 2 3 8 5 6 j19^9 3 7 5_3 ‘4 j Tang. 1 Sin. 60 Degree^. i LOGARITHMIC SINES AND TANGENTS, 121 30 Degrees. Sin. 9.69897 9.69919 9.69941 3 9’69963 9.69984 9.70006 4 5 6 9.70028 7 9-70050 8,9.70072 9'9-7°093 10I9.70115 9-70I37 12 9.70159 13 9.70180 14 9.70202 159.70224 16,9.70245 i7j9-70267 18I9.70288 199.70310 209.70332 9-70353 9-70375 9.70396 249.70418 ^5 26 9:70439 9.70461 9.70482 9.70504 9-7°525 9-70547 9.70568 9-70590 9.70611 9.70633 359.70654 37 38 39 40 ,41 369.70675 9.70697 9.70718 9-70739 9.70761 9.707S2 42 9.70803 43 9.70824 449.70846 459.70867 469.70888 47 9.70909 48 9.70931 499.70952 509.70973 51 9.70994 529.71015 5319.71036 5419.71058 5^9.71079 56I9.71100 57I9.71121 58(9-7ii42 599.71163 60.9.71184! D. 22; 22; 21 22 22 i 22 21! 22 Tang. D. 9.76144 9.76173 9.76202 9.76231 9.76261 9.76290 9-76319 9.76348 9-76377 9.76406 i9-76435 21 22 i 21 22 9.76464 9-76493 ,9.76522 9-76551 ,9;76j8c 9.76609 9.76639 9.76668 '9.76697 i9*76725 22 21 21 22 21 21 22 21 21 21 22 21 21 21 22 21 21 21 j9.76754 ■9-76783 19.76812 9.7684 9.7687 9.76899 9.76928 9-76957 9.76986 9.77015 I9-77044 >9-77073 (9.77101 9.77130 9-77 759 9.77188 9.77217 9.77246 9.77274 9-77303 ,9-77332 9.77361 9-7739° 9-774l8 9.77447 9.77476 ’9-77505 9-77533 9.77562 9-77591 9.77619 9.77648 9-77977 9.77706 9-77734 21 Cot. 10.23856 9-93753 29jio.23827 29 10.23798 10.23769 10.23739 10.23710 10.23681 10.236 c 2 29 10.23623 29 29 29 29 29 29 29 3° 29 29 28 29 29 29 29 29 29 29 29 29 29 29 29 28 29 29 29 29 29 28 29 29 29 29 28 29 io-23594 Cof. D. 9-937468 9-93738 7 9-93731 7 9-93 7 24 7 9-937I7s 9-93709 7 9.937027 9-93695 8 9.93687 10-23 565 i9-9368o io-23536 10.23507 10.23478 IO-23449 10.23420 10.23391 10.23361 10.23332 10.23303 IO-23275 10.23246 10.23217 10.23188 10.23159 10.23130 10.23101 10.23072 10.23043 10.23014 10.22985 10.22956 10.22927 10.22899 10.22870 10.22841 10.22812 10.22783! io-22754! 10.22726! 10.22697 10.22668 10.22639I9.93442 10.22610; 9.93435 1 Cof. 9-77763 '9-7779I 21 9-77820 2I; 9-77849 21,9.77877 Cot. 10.22524 10.22495 10.22467 10.22438 10.22409 10.22381 10.22352 10.22323 10.22294 10.22266 10.22237 10.22209 10.22180 ic.22151 10.22223 Tang. 9-93673 8 I9-93665 7 19-93658(1 14 I9-93650 7 ;9-93643 7 !9-936368 9.93628 9.93621 9-936l4b ,9.936067 (9-935998 9-93591 7 9-93584 7 9-93577 8 9-935697 8 9-93562 9-93554 9-93547 9-93539 7 9-93532 9-93525 9-935I7 7 9-935IO 9-93502 9-93495 9-93487 . 9-9348o 8 9-93472 9-93465 8 9-93457 7 8 9-9345° 10.2258219-93427 io-22553 9-9342Q8 9-93412 9-93405^ 9-93397 9-93390^ 9-93382 9-933758 i9-93367 9.93360 9-9335 9-93344 7 .8 8 9-93337g 9-933297 9-93322,' 9-933I4L 9-93307 7 Sin. 59 Degrees. Sin. D. 9.71184 9.71205 29.71226 39.71247 49.71268 9.71289 69.71510 9-7I33I 89-7I352 9-7I373 9-11393 9.71414 9-7I435 139-7i45'6 I49-7I477 I59-7I498 i69-7i5i9 I79-7I539 I8f9-7156o 9.71581 9.71602 37 9.71622 9.71643 9.71664 9.71685 25 9-71705 269.71726 9-7I747 9.71767 9.71788 9.71809 31 9.71829 329.71850 33 34 35 9.71870 9.71891 9-7i9ii 21 20 21 369.71932 9.71952 389-7i973 399.71994 409.72014 9.72034 9-72055 9.72075 9.72696 9.72116 41 42 43 44 45 469.72137 479-72157 489.72177 9.72198 9.72218 519.72238 529.72259 53 9-72279 549-72299 559.7232^ 31 Degrees. Tang. D.( Cot. 9-77877!2Q!IO-22i23 9.77906 2^jio.22094 Aio.22065 9-77935 9.77963 9.77992 9.78020 (9.78049 .9.78077 ;9.78106 :9-78i35 9.78163 9.78192 9.78220 9-78249 9.78277 ,9.78306 ’9-78334 '9-78363 I9-78391 >9.78419 9.78448 2Q 9.78476 9-78505 7o !9-78533?o 9-78562|29 9.78590 28 9.78618I28 9-78647^ ,9-7^675i n 9.78704 •‘•9 9.78732 Cof. !9-93307 3 >9-93299 8 i9-9329I 10.22037(9.93284^ 10.22008(9.93276 10.21980 !9-93269 10.21951 9.93261 10.21923 9.93253 10.21894(9.93246 7 10.21865 9.93238 to.21837 9-93230 10.21808 9.93223 10.21780 9.93215 IO-2I 751 (9-93207 IO.21723 (9.93200 10.216949.93192 9.93184 I0.2l666 IO.21637 10.21609' IO.21581! IO-2I552| IO.21524! IO.21495 IO.21467 IO.2I438I IO.214IO IO.21382 IO-2i353 10.21325(9.93092 569.72340 57(9.72360: 589.72381! 59 9.72401 6017-72421, 9.78760 (9.78789 19.78817|„ 9-78845 28 9:78874!29 28 29 28 28 28 9.78902 9.78930 9-78959 9.78987 9.790:15 9-79°43 9-79072 29 9.79100 9.79128: 9.79156 9.79185 9.79213 9.79241 (9.79269 9.79297 10.21296; 10.21268 10.21240 10.21211 10.21183 I0-21155 10.21126 10.21098(9.93030 10.: I07°! 10.2104119.93014 IO.21013I9.93OO7 10.20985(9.92999 9-93177 9-93I69 9.93161 9-93154 9-93i46 9-93 iS8 9-93 iS1 9-93123 9-93II5 9-93io8 9-93100 9.93084 9-93077 9.93069 9.93061 (9-93053 9-93046 7 9:93 °3 8 g 9.93022 10.2081519.92952 10.20787(9.92944 io.20759:9.92936 10.20731:9.92929 10.20703II9.92921 Io-20957;9-9299I 10.20928:9.9 2983 io.209oo*9.9 29767 10.20872(9.92968 10.20844:9.92960 D I9-79326 2§ 10.20674 9.929131 ^ ij0^0646,9.92905^ Cof. 9-79354 (9.79382 9.7941a 9'79438 9.79466 9-79495 9-79523 9-79551 9-79579 Cot. 2g!io.20618 23,10.20590 28 10-20562 29!io^°534 2g 10.20505 28 IO.20477 2g io.20449 IO.2042I Tang.' • 9-92897,8 9.92889:° 9.92881 9.92874 9.92866 9,92858(0 9.92850L 9.928421° Sin. 58 Degrees. Vol. XII. Part I. 122 LOGARITHMIC SINES AND TANGENTS. 32 Degrees. 69.7254 79.72562 89.72582 99.72602 109.72622 11 9.72643 129.72663 139.72683 149.72703 1 ^9.72723 169.72743 i79-72763 189.72783 199.72803 209.72823 09.72421 2Q 19-7244I 29.72461 39.72482 . 20!9-796(53;28IO-20337 9-725°2 20 l9-7969I!2810-20309 59-72522 on ^g^'oS10-20281 Sin. D. Tang. jD. 20 9-79747'2q IO-2°253 2o!9-79776|28IO-20224 20 !9-798o4]28 io-20196 9.79832|2g 10.20168 9.7986oj28 10.20140 9.79888 20 21 9.72.843 229.72863 23 9-72883ii9 249-729022o 259.7292220 20 20 20 269.72942 279.72962 289.72982 299.73002 309.73022 319.73041 329.73061 339.73081 349.73101 35 9*731 369-73i40 37I9-73i60 38j9.73l8° 399.73200 4°9.73219 41 43 9.73239 9.73259 9.73278 9-79579^8 10.20421 9.928423 i9.796o7|28IO-2°393 9.92834!8 9-79635128 io,20365 9-9282^8 1 9.92818A 9.92810 9.92803 8 9-92795 8 9.927878 9-92779 8 8 9.79916 9-79944 28 2810.20112 2g 10.20084 9.79972 9.8000 9.80028 9.80056 9.80084 9.80112 9.80140 9.80168 9.80195 9.80223 9.80251 9.80279 44i9.73298 •45 9-73318 469.73337 479-73357 48 9-733 77 499.73396 509^3416 51 52 153 9-73435 9-73455 9.73474 ,549-73494 55|9-735I3 !9 20 20 20 20 J9 20 20 20 !9 20 20 J9 20 20 !9 20 20 !9 20 19 20 9.8o3°7 9-8o335 9.80363 9.80391 9.80419 9.80447 9.80474 9.80502 9.80530 9'8o558 9.80586 9.80614 9.80642 9.80669 9.80697 10.20056 10.20028 Cot. 28 2g 10.20000 28,0-I9972 28 io'i9944 2310.19916 3 10.19888 2g 10.19860 27 IO.I9832 28l0.I9805 28 I°.I9777 28 I°.I9749 1 o. 197 2810.19693 2810.19665 28IO*I9637 2810.19609 28 IO"I9581 27 I°.I9553 2810.19526 28IO>I9498 281°.I9470 28 £2:1944 2 28IO-I94I4 28IO-I9386 2710.19358 _olT 0.102 2 I Cof. D.i ' 60 9.92771 0 9.927638 9.92755 8 9-92747 8 9-92739 8 9.9273 ^ 9.92723 8 9’92V S 8 9.927078 9.926998 9.926918 9-926838 9.8072 c 9"8o753 9.80781 9.80808 19.80836 28,10.19331 28110,193°3 9.92522 u '10.19275^9.925148 9.92675 s O.92667 n 9.92659 8 9.9265I 9.92643 9.92635 8 9.926273 9.926193 9.92611 g 9-926038 9.92595 u 9.92587 8 9.92579 9.92571 8 9.92563 s |9.92555q 9.925468 !9.925388 9.9253° 8 !9.8o864 28 9.8o892i27 19.80919128 10.19247 10.19219 10.19192 10.19164 10.19136 10.19108 10.190S1 y.uwyxy 28 1'9.80947<28!10'i9053 1^80975 28!£^£9££5 9.8ioo3j2Jio.i8997'9.9243318 i9|9‘?IO3°'28!l0'I?970j9.92425lg 120 x9 20 569.73533 5719.73552 589.73572 59S9.73591 10 9.73611 CoC 20 9.925063 9.92498 s ’9.92490 s 9.92482 9.92473 8 9.92465 3 9.92457 8 9.92449 8 9-92441 r 59 58 57 56 55 54 53 52 51 ££ 49 4 8 47 46 45 44 43 42 141 4£ 39 38 37 56 35 34 33 32 31 3? 29 28 27 26 25 24 23 22 21 20 *9 18 27 16 £5 J4 l3 12 11 10 9.81058128'10.18942! 9.92416 g !9.8io86ii |io.i89i4:9.92408^ J9-81113ioS I0.l8887j9.92400,s 'i ~ O . , I0l9.8iI4I!o8!l0-l8859i9.92392j8 9-Sl 169 2 ji°.l883i 9.92384!^ 19 9-0119^|28 io.i88®^ 9.923761 9.81224! 8 20l9.8l252‘ ! Cot. 10.1 r 10.18776I9.92367,9 10.J874S) 9.923 590 Tang. *' Sin. 57 Degrees: 33 Degrees. Sin. 1D.| Tang. |D. 69.73727i2p!9^I4l8 79.73747|iQi9.8l445 89.73766j9:9.8l473 99.73785 20 9'8l5°o °9-73«II!I99-8^j2 29'73^0|i9’9'QI3°7k 39-73«9|2o!9-3,33J27 49-736J9I9te-8i362^ J9-737=8!Ij94£3922g 27 28 27 28 28 27 28 27 28 27 28 7 28 27 28 9.73805 10 119.73824 12 9-73843 J3 9.73863 149.73882 15 9-739°1 i69.7392i 17 9-73940 18 9.73959 i99-73978 20 9^3997 21 9.74017 229.74036 23 9.74055 249.74074 25 9.74093 26 9.74113 279.74132 289.74151 299-74i7o 309.74189 31 9.74208 329.74227 339.74246 349.74265 359.74284 369.74303 379.74322 389.74341 9.74360 74379 9.74398 9"744I7 9.74436 9-74455 9-74474 469.74493 479.74512! 48 20 i9 19 20 x9 J9 20 i9 *9 19 J9 20 x9 19 x9 x9 20 x9 *9 x9 x9 x9 x9 x9 x9 x9 x9 x9 x9 x9 x9 x9 x9 x9 x9 £9 x9 x9 i9i 9.81528 9.81556 9.81583 9.81611 9.81638 9.81666 9-81693 9.81721 9.81748 9.81776 9.81803 9.81831 9.81858 9.81886 9.81913 9.81941 9.81968 9.81996 9.82023 9.82051 9.82078^ 9.82106 9.82133 9.82161 9.82188 9.82215 10.18748 10.1872] 10.18693 10.18665 10.18638 10.18610 10.18582 10.18555 10.1852719.92293I9 10.18500,19.92285 g 10.18472: Cot. Cof. D |9.92359 9-9235xt8 9-92343 8 9.92335 '9.92326 9-92318 ;9.92310 19*92302 10.18444 9.92277 s 9.92269 10.17922 9.82243 9.82270 9.82298 9.82325 9.82352 9.82380 9.82407 9.82435 9.82462 9.82489 0.82 ^17 9.82544 . 9.7453x!j!9.8257x 499-74549!1(£9.82599 509.74^68,^1,9.82626 xo.i7757 10.17730: 10.17702! 10.18417 9.9226 10.18389:9.922523 io.i8362i9.92244 ^1833419^92235 10.18307I9.92227 g io.i8279'9.922i9 g 10.18252I9.92211 I0.l8224!9.92202| io.i8i97i 9.92194 g 10.18169 9.92i86g 10.18142I9.92177 3 10.1811419.921698 10.18087 9.92161 g 10.1805919.92152^ 10.18032 9.921443 io.i8oo4!9.92I36 10.1797719.92127^ xo.i7949|9.92ii98 9.92111 /y— . 10.17894I9.92102 g io.i7867!9.920948 10.17839 9.92086 10.17812J9.92077 g 10.1778519.92069 9.92060 g 9.92052 o 9.92044 x0.17675! 9-9 203 5 8 10.1774819.92027 10.17620 xo.i7593 10.1 7565S9.92002 10.17538 10.17511 10.17483 10.17456 10.17429 10.17401 10.17374 9.92018 g 9.920103 ..... b*826531 g 9-746o6,Ig! 9-82681 ^ 00,9.74625^^19.82708 ^ 549.74644IJ8 9.82735 55I9.74662, t J'9.82762 5619.746811^19.82790 19 9.82817 579.74700!^ 5 8|9.74719i j g ,9.8 2844 599.74737'IQ9.8287i 6o!9'.74756l ^,9.82899 Cof x°.i7347 9.92993^ 9.9198 9.919763 9.91968 9‘9X959 9.91951 9.91942 9-9x934 xo.i73x9l9.9x925 8 10.172929.91917 10.172659.9190' 10.17238,9.91900 Cot. 9.91891 9.91883 Q ,--r- / -j - 9.9I874 O 10.17129:9.91866,^ 10.17210 27l1°.i7x83 7110,17156 38 9 8 10.171011 6c 59 58 57 56 55 54 53 52 51 5£ 49 48 47 46 44 43 42 4X 4° 39 58 37 36 5 34 33 32 3J 3£ 29 28 27 26 £5 24 23 22 21 20 *9 18 x7 16 5 x4 x3 12 11 10 9 8 7 6 j; 4 3 2 1 o 1 Tang. '' Sin. 56 Degrees. LOGARITHMIC SINES AND TANGENTS. 34 Degrees. Sin. 9W56 9-74775 9-74794 9.74812 . 9-74831 5 9-74850 6j9.74868 7i9-74837 8|9-749°6 9|9-74924 i° 9-74943 11 9.74961 129.74980 I3 9-74999l!l'8 i49-750I7:Iq 15 9-75°36|ts 16 9-7 5? 54; . 9-83334 9*75o73!Ty 9-83361 -- 11819.83388 I9-834I5 9-75i28|^|9-83442 9*75r47 9-75I^5 9.75184 9.7 c 202 9.75221 26 9-75239 2-7 . 9-75 258 289.75276 9-75294 9-75313 9-75331" 9-75350 9-75368 9-75386 35 9-75405 9-75423 . 9-75441 _ 38 9-7545919 Tang. D. Cot. 9.82899 9.82926 9-82953 9.82980 9.83008 9-83035 9.83062 9.83089 9.83H7 9-83I44 9.83198 9.83225 9.83252 9.83280 9-83307 510.17101 27:10.17074 27|io.17047 '"'10.17020 10.16992 27|io.i6965 27 27 28 .9-83470 b-83497 9-83524 9-83551 9-83578 39 40 9-75478 9-75496 9-755M 9-5 5533 9-75551 9-75569 9.75587 9.75605 9.75624 489.75642 9.75660 9-75678 9.75696 9-757I4 53 9-75733 54b-7575i I59-75769 569.75787 47:9-758o5 ,-89.75823 ,99.75841 609.74849 Cof. 9.83605 9.83632 9-83659 9.83686 9-83 71 9.83740 9.83768 9-83795 9.83822 9.83849 10.16938 10.16911 Col'. D. 9-9i857 § 9.91849 9.91840 g 9’9I832g |9-9I823 8 9-9i8i5 9.91806 g 9.91798 27 27 27 27 27 28 27 27 27 27 27 27 28 27 27 27 27 27 27 27 27 2 27 28 27 27 27 27 10.16883 9.91789 3 10.16856II9.91781 10.16829I9.91772 10.16S02 9.91763 3 10.16775 9.9I755 Q io.i6748[9.9I746 3 10.16720)9.91738 10.16693 9.83876 9-83903 27 9-83930 9-83957 9.83984 9.84011 9.84038 9.84065 9.84092 9.84119 9.84146 9.84173 9.84200 9.84227 9.84254 9.84280 9.84307 9-84334 9.84361 '9.84388 tq';9-844i5 0:9.84442 “9.84469; j 3 :9-84496i25 ii Cot. I 10.16666 10.16639 10.16612 10.16585 10.16558 9.91720 9-9I7I 9‘9I703 9.91695 9.91686 10.16530 10.16503 10.16476 10.16449 10.16422 10.16395 10.16368 10.16341 10.16314 10.16287 10.16260 10.16232 10.16205 10.16178 10.16151 10.16124 10.16070 10.16043 10.15989 10.15962 IO-I5935 10.15908 10.15881 10.15854 10.15827:9.91451 10.15800 IO-I5773 10.15746 10.15720 10.15693 10.15666 10.15639 10.15612 io.i5585 io-i5558 IO-I553I 10.15504 IO-I5477 Tang. 9.91729 9.916773 9.91669 9.91660 9.91651 9.91643 9-9i634^ 9-9i625 8 9.91617 9.91608 9-91599 9-9I59I 9 9.91182 9-9I573 9-9I565 9-91556 9-9 *547 10.1609719.915383 :9-9I53° 9.91521 10.16016:9.91512 9.91504 9-9I495 19.91486 :9-9I477 ,9.91469 9.91460 19.91442 t9-9I433 |9-9I425 Sin. 55 Degrees. 8 60' 59| 58 571 56 55 54 53 52 51 49 48 47 46 45 44 43 42 41 4^ 39 38 37 36 35 34 33 32 31 3^ 29 28 27 26 T5 24 23 22 21 20 *9 18 J7 16 15 M I3 12 11 10 I9.91416 !9-9I4°7 9-9i398 9-9I389 8 9-9138il9 9-91372 o 9-9I363g 9-9I354g 9-91345 g ■9.91336^ 35 Degrees. 09-75859 19.75877 2 9-75895 3 9-75913 49-75931 59-75949 69-75967 79-75985 89.76003 99.76021 109.76039 119.76057 x 2 9.76075 13 9.76093 I49.76iix 159-76129 169-76146 X79-76I64 x89.76i82 i99.76200 209-76218 21 9*76236 229-76253 23 249.76289 259-76307 Sin. D.j| Tang. D. T n,|9-84523 !fti'9-8455° Jo 9-84576 n|!9-846o3 .0 9-8463° Jb 9-84657 09-84684 Job-84?11 #•84738 “9.84764 -3 9-84791 9.84818 ^19.84872 27 if-84899^ 9.84923 Q 9-84952 gi9-84979 I9.85006 :9-85c33 9-8 5°59 9.70271 269.76324 279.76342 289-76360 299-76378 30 9-76395 3i9-764I3 329-7643t go 9.764.48 349-76466 3] 9-76484 469-76501 379-765I9 389-76537, 399-76554 409-76572 4x9.76590 429.76607 439.76625 449,76642 4 9.76660 469-76677 479.76695 48 9.767 !2 499.76730 50 9-76747 5I9.76765 529.76782 33 9.768OO 549.76817 55 9-76835 9.85O86 9-85II3 9.85I4O 9.85166 9-85i93 9.85220 9.85247 9-85273 9.85300 9-85327 9-85354 9.8 5380 9.85407 xg 9-85434 5 9.85460 9.85487 i3i9-855i4 19-8554° 9-85567 9-85594 9.85620 9.85647 9.85674 0.8 cgoo 9.85727 9-85754 9.85780 9.8 fSog 9-85834 9.85860 9-85887! Cot. Cof. IO-I5477i*9-9I336 10.1 34 C0H9.91328 IO.154249.91319 i°-I5397j|9-9f310 i0-I5370il9-9I301 IO-15343 9-9I292 86° Q59 9}58 ^57 356 slii io.i53i6^.9i283 I54 10.15289 9.91274; g53 IO.I5262,9.9I266: J52 10.152369.912571 9 51 9.91248'0 D-l 10.15209 10.15182 IO-I5I55 10.15128 ic.15101 10.15075 10.15048 ^'iio.i 5021 10.14994 2" ■TO.14967 26 10.14646 10.14620 IO-I4593 10.14566 Ho. 14540 IJ9-8594°i2; 79.85967) J !;:9-85993i 56 9- 7 68 5 2) j 8!;9.8 60 20! ^ 579.768^0! 19.860462 58;9.76887#'9.86073'^ 59'9-769°4'x8!9-86ioo; g 60:9.769221 ^9.86126, “l cdT^i-1 Cot. ' 10.14941 9'9I239 !9-9i23° 9.91221 9.91212 9.91203 10.14914: 10.14887 10.14860 10.1483419.91123 10.14807 10.14780 IO-I4753 10.14727 10.14700 10.14673 I°-I4513 10.14486 10.14460 IO-I4433 10.14406 10.14380 i°-i4353|9-9°96o 10.14326 10.14300 10.14273 10.14246 10.14220 10.14193 10.14166 10.14140 9.9H94 9.91185 9.91176 9.91167 9-91158 9.91 r49 9.91141 9-9II32 9.91114 9.91105 9.91096 9.91087 9.91078 9.91069 9.91060 9.91051 9.91042 9-9I033 9-9io23 9.91014 9-9I005 9.90996 9.90987 9.90978 9.90969 9-9°951 9.90942 9-9°933 10.14113I9.90878 10.14087 10.14060) IO-I4°33 10.14007! 10.13980 i°-I3954l io-i3927 10.13900 10.13874^.90796 1 Tang. 9.90924 9.90915 9.90906 9.90896 9.90887 ?36 9.90869 9.90860 9-9o85I 9.90842 9.90832 9.90823 9.90814 9.90805 Sin. 35 34 33 32 31 3^ 29 9 28 9 27 9 26 25 24 23 22 o 54 Degrees. 123 12^ LOGARITHMIC SINES AND TANGENTS. 7d. 36 Degrees. 09.76922 19'7^939jI8 79'76957 I7 :-‘'9-76974:I7 49-7699IlI8 i 9-77009 69-77026. 7j9-77°43 x8 8j9.77°6xL_ 9!9-77°78 ioi9-77095 9.86126 9.86x53 9.S6179 9.86206 9.86232 9.86259 1J 9-77112 149-77I47 149-77164 1 > 9-7718x 16 9-7 7199; 1 9.86524 Tang. ID. 9.86285 9.86312 9.86338 9.86365 9.86392 io-i3874 ^io-x3S47 20 10.13821 IO-I3794 110.13768 ^10-I374I 319.86418 9.86445 9.86471 9.86498 9.77285 9-77302 ' 9-773J9 1 9-77336jI7, 9-7735347 9.8655: 9-772I6 Ti|9-86577 9-77233 9.77250 9.77268 J 3 9.86603 9.86630 9.86656 9-77370:i7 9-77387:i8 9-77405 i7 9-77422,I7 9-77439 i7 9-77456 I? 9-77473 i7 9-77490 i7 9-77507 17 3_^9-77524 17 369-7754iI7 S79-77558 i7 389-77575 i7 S99-77592 i7 40.9.77609 t7 14119.77626 429-77643 C 43,9.77660 j 9.87211 9.87238 j9.872'64 44i9-77677 I^9-8729o 45:9-77694 4619-777ii!i7 9-87343 47;9-77728 I6l;9-87369 48I9-77744 i7i9-87396 499-7776i|17::9-87422 5Q|9-77778|t7 9-87448 71 9.86683 9.86709 9.86736 9.86762 9.86789 9.86815 9.86842 9.86868 9.86894 9.86921 9.86947 9-86974 9.87000 9.87027 g 9-87053^ 9-8707927 Cot. I°-I37I5 9-90741 10.13688:9.90731 10.13662 IO-I3635 xo.i 3608 3582 IO-I3555 10.13529 X0.I3502 9-90694 9.90685 :9.9o676 9.90667 10.13476:9.90657 10.13423 IO-I3397 Io-I3370 IO-I3344 26 9-871 _ 9-87i32 ^6 9-87158 9.87185 9.90396 . ,9-90386 261°-I2683!i9-9Q377 5Ii9-77795 17 9-87475 -329.77812 ' 9.87501 539-77829iI7!|9-87527 549.77846 :55 9-77862 56 ! 7l9-87 580 9.87606 9-87633 9.87659 9.87685 9.877II Cof. D. ,9.90796 !9-90787 19-90777 9.90768 9-90759 9-90750 19.90722 [9-907I3 19.90704 10.13449 9.90648 10.13317 10.13291 10.13264 io.i3238 10.13211 9.90639 9.90630 9.90620 9.90611 9.90602 9.90592 9-90583 9-90574 9-90565 io.x3i85| 9.90555 io.i3i58 9.90546 10.13132 9.90537 10.13106I9.96527 10.13079 9.905x8 Io-I3053!i9-90509 10.13026 9.90499 10.13000 10.12973 10.12947 10.12921 10.12894 10.12868 10.12842 10.12815 9-90490 A 9.90480 9.90471 9.90462 9.90452 9-90443 9-90434 9.90424 60 59 58 9 56 9 _55 54 10 10.12789! 9.90415 10.12762:9.90405 10.12736J 10.12710 10 26 27 26 26 27 26 26 27 26 26 10.12657 9.90368 10.126311:9.90358 10.12604!! 9.903 49 10.12578^9.96339 Io-I2552:;9-9033Q ^ 10.12525 9.90320 Cot. 10.12499 10.12473 10.12446 9.903x1 9.90301 9.90292 10.12420; 9.902821 IO-123 94;: 9-9° 27 3 10.12367, 9.90263 10.12341 10.12315! 10.12289 Tang. 9.90254 9.90244 9-90235 9 10 9 10 9 10 9 Sin. 53 Degrees. o!9-77946 i!9-779G j' 29-77980.' 3j9-77997ij6 4.9.78013 519-78030,/ 6j9-78o47jl6 719.78063^ 819.78080^^ 99-78097 A 10I9.78113 ^ 11I9.78130 129.78147 139.78163 149.78180 59.78197 169.78213 17 9.78230 189.78246 199.78263 209.78280 2x 9.78296 22,9-783i3 23:9-78329 249-78346 37 degrees. Sin. D. 25 9.78362 9-78379 9-78395 9.78412 9.78428 9-78445 9.78461 9.78478 9.78494 9.785x0 9.78527 369-78543 379.78560 389.78576 399.78592 409.78609 9.78625 27 26 26 27 26 26 9.87869 ^ 9-87895 27 9.87922! A 9.87948 2 9.87974 9.88000 9.88027 9.88053 9.88079 9.88105 9.88131 9.88158 9.88184 9.88210 9.88236 -A 42,9.78642 449.786C8 449.78674 459-78691 A 4619.78707!^ A-’o723!^1 489-78739 17 499.78756 xl 50:9.78772;^ Tang. D. 9.87711 9.87738 9-87764 9.87790 9.87817 9-87843 9.88262 9.88289 9.883x5 9.88341 9.88367 9-88393 9.88420 l 9.B844620 9.88472 9.88498 9.88524 9.88550 9.88577 9.88603 9.88629 9.88655 9.88681 9.88707 9-88733 9.88759 Cot. 10.12289 10.12262 10.12236 10.12210 10.12183 10.12157 10.12131 10.12105 10.12078 10.12052 10.12026 10.12000 10.11973 10.11947 10.11921 10.11895 Col. 9-90235 9.90225 9.90216 9.90206 9.90197 9.90187 9.90178 9.90168 9-90159 9.90149 !9-9OI39 I9.90130 9.90120 9.90111 9.90101 19.90091 10.11869I9.9008 ro.11842:9.90072 10.11816 10.11790 10.11764 10.11738 10.11711 IO.11685 10.11659 10.11633 10.11607 10.11580 I°-1I554 10.11528 10.11502 10.11476 10.11450 10.11423 IO-11397 10.11371 .88864 9.88890 9.88916 9.88942 9.88968 9.88994 9.89020 519.78788! 529.78805IJ' 53r7cQ2I!i6 549-78837 x6 55!9Ai853 x6 569.78869 57 9.78886 589.78902 599.78918 609.78934 Cof. 9.89046 9.89073 9.89099 9.89125 9^9I1I 26 io.ii345 10.11319 10.11293 10.11267 10.11241 9.88786 6 9.88812 16 9-88838 10.11084 10.11058 10.11032 9‘39177,26 .„,5-394°326 16 9-39229 26 16 9-89^3 26 9.8928I Cot. 9.90034 9.90024 9.90014 9.90005 9-89995 IO 9.89985 9.89976 9.89966 9.89956 9.89947 10.11214 10.11188 10.11162! 10.11136 10.11110 9.90063 D, | 60 59 58 57 56 55 54 53 52 51 5° 49 48 47 46 9! 45 44 9 10 9-9oo53iIO 9.90043 9-89937 9.89927 9.89918 9.89908 9.89898 9. 10 1 o' 9 10 10 9 10 10 9.89888 9.89879 9.89869 9.89859 9.89849 9.89840 9-89830 9.89820 9.89810 9.89801 9.89791 9.89781 9.89771 10.11006 9.89761 10.1098019.89752 10.10954 10.10927 10.10901 10.1087 5 10.10849 10.10823 10.10797 10.10771 10.10745 10.10719 Tang. 9.89742 9.89732 9.89722 9.89712 9.89702 9.89693 9.89683 9.89673 9.89663 9-89653 Sin. 10 10 52 Degrees. LOGARITHMIC SINES AND TANGENTS. Q 9-78934 9.7895° 9.78967 39.78983 49.78999 9*79OI5 69.79031 9.79047 9.79063 9.79079 9-79°95 9-79111 9.79128 9-79I44 9.79160 9-79I76 9.79272 9.79288 9.79304 9-793I9 9-79335 26 9-79351 9-79367 9-79383 9-79399 9-794I5 Sin. i69-79i92 x7 9-792°8 18 9.79224 9.79240 9.79256 9-79431 9-79447 33 9-79463 9.79478 9.79494 34 35 36 9-795IC 379.79526 389.79542 9-79558 9-79573 D. 38 Degrees. CoT D. Tang^ 9.89281 9.89307 9-89333 ^ 9-89359;^ 9-89385 J 9.89411, 9-89437 9.89463 9.89489! 9-895M 26 9.89541 I<7 9-89567 !6 9-89593 9-89619 ' 9-89645 9.89671 9.89697 9.89723 9.89749 9-89775 6 9-8980 69.89827 6 9-89853 26 9.89879 9.89905 9-89931 9-79589 9.79605 9.79621 9.79636 9.79652 9.79668 9.79684 489.79699 499-797I5 5° 9-79731 ‘ 51 5 2 9-89957 9.89983 6 9.90009 9-90035 9.90061 9.90086 9.90112 9.90138 9.90x64 9.90190 9.90216 16 9‘902^ 9.90268 !, 9-9°294 16 9‘?°3 20 '9.90346 9.90371 9-9°397 9.90423 l6![9-9°449 6i 9-9047 x j9-90501 i5 9-9°527 6!9-9°553 9.90578 53 9-79778 54 55 9:798°9l6 56 9-79746! 9.90604 9-79762jl6l9.9o63o 9-79793|jgi 9.79825 579.79840 9.79856 9.79872 9.79887 Cof. 9.9065 9.90682 9.90708 10.10719 xo.10693 10.10667 10.10641 10.10615 10.10589 10.10563 10.10537 10.10511 10.10485 10.10459 Cof. 9-89653 9.89643 9-89633 9.89624 9.89614 9.89604 10-I0433 10.10407 10.10381 10.10855 10.10329 10.10303 10.10277 10.X0251 10.1022 5 IO.IOI99 26 26 26 26 26 26 26 26 25 26 26 26 26 26 26 26 26 26 26 25 26 26 26 26 IO.IOI73 9-89445 9-89435 9.89425 9.894x5 9.89405 IO.IOI47 IO.IOI2I IO.IOO95 IO.IO069 IO.IOO43 10.100X7 IO.O999I IO.O9965 IO.O9939 IO.O9914 IO.O9888 IO.O9862 IO.O9836 IO.0981O IO.O9784 IO.O9758 IO.O9732 I0.09706j IO.O9680 9-89594 9.89584 9-89574 9.89564 9-89554 9.89544 9-89534 9.89524 9.895x4 9.89504 9.89495 9.89485 9-89475 9.89465 ;9-89455 Ti_ io!6° lo0-^ xo|35 10,44 xo43 to52 51 5^ 49 48 47 46 ‘9j« XO;44 10 43 42 41 40 10 10 10.09654 10.09629 10.09603 9.89223 10 9-89395 9-89385 9-89375 9.89364 9-89354 9.89344 9-89334 9.89324 9.893x4 9-893°4 9.89294 9.89284 9.89274 9.89264 9.89254 9.89244 9-89233 io|36 Iq!35 10 34 33 10 j, 9-9°734 I55° ICI9-9I945 26 44;9-8o565Ii‘:!9-9197i 459.80580 / i^1996 9.80290 9.80305 9.80320 9.80336 9.80351 9.80366 9.80382 9.80397 9.80412 9.80428 9.80443 0.804 c8 9.80473 9.80489 9.80504 9.80519 Tang. D, 9.90992 9.9x018 9-9I043 9.91069 9.9x095 9.91121 9.9x147 9-9ii72 9.91198 9.91224 9.9x250 9.91276 9.9130X 9-9I327 9-913 53 9-913 79 9.9x404 9.9x430 9.9x456 9.91482 9.91507 9-9I533 9-9ISS9 9-9I585 9.91610 Cot. 10.09163 io.°9I37 10.09111 10.09086 10.09060 10.09034 10.09008 10.08982 10.08957 10.08931 10.08905 9.88948 Cof. 9.89050 9.89040 9.89030 9.89020 9.89009 9.88999 9.88989 9.88978 9.88968 9.88958 10.08879 9.88937 10.0885319.88927 xcvg8828!;9.889I7 2^iio.o88o2i,9.889o6 29jio.o8776j!9.88896 '10.08750:9.88886 io.o8724i;[9.8887 5 io.o8699;9.88865 10.08673 ^6122^X7 9.91636 9.91662 9.9X688 9-9^713 ^ 9j9_m926 9.9x765 9.9x791 9.91816 9.91842 9.91868 9.91893 46;9-8o595 4719.80610 4819.80625. 4919.80641 5019.80656 51 9.80671 529.80686 539.80701 549.807161^9.922: 559-8o731! 10.08621 10.08596 10.08570 10.08544 10.08518 10.08493 10.08467 10.08441 10.08415 10.08390 10.08364 ic.08338 10.08312 10.08287 10.08261 10.082 10.08209 10.08184 10.08158 10.08132 10.08107 io.c8o8i 10.08055 10.08029 10.08004 xo.o7978i9.88573 ic.07952 10.07927:9.88 552 10.07901 ^ 10.07875 “gio.0785 yio-°78% 10.07798 25I0-07773 15: 569.807461^9.92279 579.807621. JS9.92304 58 9.80777 Ji^! 9.92330 599.80792 609 S|9-92356 9.92381 Cot. 9.88855 9,88844 9.88834 9.88824 9.88813 9.88803 9.88793 9.88782 9.88772 9.88761 9.88751 9.88741 9.88730 9.88720 9.88709 9.88699 9.88688 9.88678 9.88667 9.88657 9.88647 9.8S636 9.88626 9.88615 9.88605 9.88594 9.88584 9.8856^ D. 10 10 10 10 10 9-88531 9.88521 9.885I01 19.8 849 9 9.88489!;° 610.07 747j9.88478j_|_, 10.0 7 7 2119.8 8468]" 10.07696 9.88457 ;o io.o767o:!9.88447 10.07644J9.88436 10.0761919.88425 Tang. 1 Sin. 50 Degrees. f 126 LOGARITHMIC SINES AND TANGENTS.. 40 Degrees. Sin. 09.80807 I 9.80822 29.80837 39.80852 49.80867 59.80882 69.80897 79.80912 819.80927 99.80942 109.80957 11 9.80972 129.80987 13 9.81002 149.81017 159.81032 169.81047 179.81061 89.81076 199.81091 209.81106 21 9.81121 229.81136 239-8h5i 249.81166 259.81180 269.81195 279.81210 a8 9.81225 299.81240 309.81254 319.81269 329.81284 339.81299 349.81314 359.81328 36*9.81343 379-8i358 389.81372 399.81387 409.81402 9.81417 429.81431 439.81446 449.81461 459-8i475 5l 469.81490 479-8i505 489.81519 499-8i534I? 509.81549^1 j , 529.8 53 l>4 D.| Tang. 9.92792 ,9.92817 r c j9-92.843 ^19.92868 19.92894 r5 D 9.92381 9.92407 9-92433 9.92458 9.92484 9 92510 9-92535 26 9-9256i26 9.92587 9.92612 9.92638 9.92663 9.92689 9.92715 9.92740 '$.92766 [9.92920 r j9-92945 9.92971 9.92996 9.93022 9.93048 9-93073 9.93099 9-93124 9-93150 9-93175 9.93201 9.93227 9-93252 9.93278 9-93303 9-93329 9-93354 9.93380 9.93406 9-93431 9-93457 9.93482 9-935o8 9-93533 Cot. 10.07619:9.884251^ I0-07593 !9-884i5}TI 10.07567,9.88404 IO-°7542,9-88394 10.07516 9.88383 10.07490 9.88372 10.67465 10.07439 25! 26 25 26 26 25 26 26 25 26 25 26 26 25 26 25 26 26 25 26 25 26 25 26 26 25 26 25 26 25 26 26 25 26 25 26 IO.07413 9.88340 9.88350 9.88319 ,07388 IO.O7362 IO-°7337 10.07311 10.07285 10.0726 10.07234 10.07208 10.07183 10.07157 10.07132 10.07106 10.07080 10.07055 10.07029 10.07004 10.06978 9.88158 10.06952 10:06927 10.06901 10.06876 10.06850 10.06825 10.06799 10.06773 10.06748 10.06722 10.0669^ 10.06671 10.06646 10.06620 10.06594 10.06569 10.06543 26 io'o65i8| 9-87964 25 10-06492 10.06467 9-93559 2 cio-o6441 9-87931 9-93584 26!io-o64i6 9-87920 9.93610^10.06390 9-93636 2.10.06364 9-9366I 25,10.06339 Coi. lij. 9.88362 9.88351 9.88308 9.S8298 9.88287 9.88276 9.88266 9.88255 9.88244 9.88234 9.88223 9.88212 9.88201 9.88191 9.88180 9.88169 9.88148 9-88I37 9.88126 9.88115 9.88105 9.88094 9.88083 9.88072 9.8S061 9.88051 9.88040 9.88029 9.88018 9.88007 9.87996 9.87985 9-87975 9-87953 9.87942 10 9-93763 26 io-o6237 :9-93789L -|IO-o62i 1 9-8I563 j J 9-93687 2 r!10^ 13 9-81578 I^9-937I225;io.o6288 9.81592 4 9.93738 , .110.06262 .,,9.8,607;! 559-8i622 5619-81636 . „ . 57:9.81651 219.93840 jSd.81665! 419,93865 599.81680! 2 [9.93891 9.87909 9.87898! 9-87887!^ 60 59 58 57 56 IO^i 54 53 52 51 5° 49 48: 47 46 45 44 43 42 41 4? 39 38 37 36 35 34 33 32 31 30 29 28 7 26 21 4 23 22 21 20 10 18 r7 16 15 J4 J3 12 11 10 10 10 10 9.87877 9.87866' 9-87855i“ 9.87843, 9.87833! 9.93814^^10.06186 9.878221 ] 4 ! jio.06160! 9.878n[I1i 3 2 d ^ loo 11 J 26IO-06I35|i9-878oo]ii 2 59;9.8168oi ^ [9.9389 iJ^|Io.o6io9l9-8 7789^ j 60-9.81694! 4,19.939161 4io.o6o84j!9.87778jI | ' 1 —'—— ^ nS ' ~ 1— 1 ang. Cof. Cot. 1 Sin. 49 Degrees. Sin. D. {9.816941 9-8170914 10.81723 0384 *5 219.8 3;9-8 4 9-8i75 5i9-8i767 . l8?o;4 9-818256 9-81839 69.8 7 9-8 89.8 9-81854 ^'9.94197 | o.8i 868 9.94222 2^10.05778 9.§']64r6\l x 29.81868 ^[ 9.94222 3 9.81882 i41:9.94248 21,;io.o5752| 9.876^51:147 49-81897 I2||9.94273 26iIO-057'27 9-876241^46 5 9.81911,49.94299 .,5j10.05701 9-87613 j245 69.81926 [9.9432426ii0,05676; 9.87601 II44 9.81940 ^19-94350 2 J10.05650:9.87590 x j 43 9-8i955 !^j9-94375 26iIO‘°5625:9-87579 u 18 9.81955 6 [9.94375 26 199.81969 T9.94401 20 9.81983 ^,9-94426 2I zz9-0^oi2I 19.94477 26lu-w55^3|9-°7535 23 9.82026 j] [9-94503 2 r I0-05497 9-87524 249.82041 > |9-94528 2610.05472 9.87513 25 9.82055 T^ 9-94554 25 io-°5446 9-875Qi 26 9.82069 ^[9.94579 2.10.05421! 9.87490 27 28 ^ ^ 1 c 2~ 10-05421 9-87490 9.82084 ^ 9.94604 ^ 10.05396^9.87479 30 9.82098 9.82126 29!9.82I I 2 19.94655 26 JO-tJ. / [9.94681 10.0531919.87446 T 93 9-946.- I4 y 2 r—°537o| 9-87468 26 IO-°5345; 9-87457 31 9.82141 [9.94706 29,?2I55 i2!9-94732 25 339.82169 26IO-.°5294l 9.87434 IO.O5268: r, Pi 100 '9-947 5 7 2g io-°5243| 9-87412 j j 10.05217 ic.05192 34 9.82184 6 2 r 35 9-82198 x~j 9.94808 36 9.8 22! 2 9.948342 , 37 9.82226 i2!9.94859 2- xc.05141 9.87367 x x 23 n Q'l '’nn/iRfii - 10.0 116 ^ ° ^ ^ ^ |9-94783 2r ^0.052I7 9-87401 „ '0.0^808 ^ic.o c102! p.87^9 37 9.02220 • 19.94059 38 9.82240 [9.94884 J - 9.82255 ^19.94910 2 10.05090! 9.87345 j x 21 399.82255- 9.9491° 409.82269 ^[9-94935^ 419.822831/; ,9.94961 10.05039,9.87322 xi 42 9-82297 J i9-94986 2610.05014! 9.87311 x x 43 9-82311 ^ ,9.95012 2 10.04988' 9.87300 x2 449.82326 > 9-95037 2r 10.04963:9.87288 xx 45 9-82340 j!; 9-95o62 26 1Q-0493819-872 77 ! j 469.82354 00 — 47 9.82368 4 48 9.82382 4 49 9.82396 4 5o9.«24ioT^ 51 9-82424 j 9.952152,io-04785i9-87209! 52 9-82439 x7 9-95240 26 io-0476o, 9.87198 53j9-82453 Ili9-952662 10.0473419.871871 , 54 9.82467 ITii9-95291 2610*04709i 9-87175i; j ? 99.82481 T 41:9.95317 ", 10-04683; 9.87164! 10.05599 9.87568 ix 10-o5574 9-87557 x, 43 42 41 x^ /-f v-u/aa/! j 4^ Zl 9.81998 x 9-94452 2 r IO.O5548'; 9.87546 x x 39 22 9.82012 +19-94477 26 io-°5523! 9-87535 x j 3s 00 n •'!rvr\/irr>--) Tnnr/irv*-T'r\Q^ro^ ^ 3 |35 34 33 3- Tang 41 Degrees. !9*939i6 :9-93942 i9-93967 9-93993 9.94018 9-94044 10.05982 9.87734 9-94095 Zci 0,059°5:i ,9.94120 IO.O588C 9.94146 2”|io.o5854 oGIio-°5829 D. Cot. 1 Co). :D. 10.06084,9.87778! 10.060 c8' 9.877671 Io.o6o33i9.87756LiI 10.0600719.87745^ 11 11 11 11 11 10.05956 9-87723 9.94069 26!io-0593l!9-877i2 ,9.87701 9.87690! 9-87679!: I51 ,110.05803 6 59 58 57 56 55 54| !53 152 9.87668 co 9-87657iII49 9.95088 IO.O4912| 9.87266 9-95I13 J 10-04887!9.87255 I2 9-951382 10.04861:9.87243 xi 9-95164 2610-04836,9.87 23 2^ 11 9-9519° 2510-04810; 9-872211 x 2 10 9-95215 2JrIO-°4785j 9-87209! 9-95240 26 io-°476o[ 9-87198: 10.04734:9.87187: 5619.82495 j ,:|9-95342!^610-04658!9-87i53!I2 5719.82509 iJ!9-95368j; 10.04632:9.87141 58,9.82523 x J9.95393I2'-10-04607!9-87130 599-82537Ij9-954I8y 10.04582:9.87119 6oi9^£55^ ii9-95444| " ° i Cof. ' il Cot, i 48 Degrees 10.04556; 9.87107 Tang. ^ Sin. [48 9.87423 10.05166 9-87378 x j 9-87356 ic.05065,9.87334 T0 LOGARITHMIC SINES AND TANGENTS. 42 Degrees. Sin. D. 9-82551 9^565^1 9-82579I4 39-82593I4 49.82607: ^ 5 9.8 26 21 t~j Tsng. |D.| Cot. H Coi. 9.95444! ilO.04556 9.87107 69.82635 79.82649. 8I9.82663! ^ 99-82677:4 109.82691! 11 9.827051 9-827i9;I4 i39-82733|I4 149.82747; 159.82761^ 169.82775! 179.827884 189.82802 H 9.82816 9.82830 9-95469^JO-°453I 9-95495i4:IO-°45°5 9-95520L,;IO-0448o 9-95545jJ10-°4455 9-95571!: J10-°4429 9-95596 9.9 5622 9-95647 9.95672 9.95698 9-95723 9-95748 9-95774 9-95799 9-95825 9.82844 9.82858! 9.828724 9.828854 9.82899 9.82913 9.82927 289.82941 299-82955 309.82968 319.82982 329.82996 33 34 35 9.83010 9.83023 9-83037 36 9.83051 9.S3065 89.83078 9.83092 9.83106 9.83120 9-83133 9-83i47 r4 H H H\ T4 J3 T4 T4 x4 T3 x4 M M T3 M 14 14 13 H M r3 x4 26 25 25 26 25 25 26 25 26 9-958502! 9-95875j2^ 9-95901 9.95926 9-95952 9-95977 9.96002 9.96028 9-96053 9.96078 10.04404 10.04378 10.043 53 10.04328 10.04202 9.96104 9.96129 9-96I55 9.96180 9.96205 9.96231 9.96256 9.96283 ,9.96307 9.96332 10.04277 10.04252 9.87096 9.8708 5 9.87073 9.87062 9.87050 D.! 9.87039 9.87028 9.87016 9.87005 9.86993 H! 12 12 12 9.86982 9.86970 10.0422619.86959 9.86947 9.86936 10.04201 10.04175 10.04150 10.04125 10.04099 10.04074 10.04048 9.86924 9.86913 9.86902 9.86890 9.86879 9-96357 9-96383 9.96408 9-96433 9.96459 19-96484 '9-96510 :9-96535 9.96560 I9.96586 10.04023 10.03998 10.03972 10.03947 10.03922 10.03896 10.03871 10.03845 10.03820 IO-°3795 10.03769 10-°3744 10.03693 10.03668 10.03643 10.03592 10.03567 10.03541 9-966ii 9.96636^ J9.96662 ^119.96687 9.96112 45 9-83174 4619.83188 179-83202 489.83215 499.83229 509.83242 519.83256 529.83270 539-83283 549.83297 55 9-8.3310 569.83324 37 9-8.333 8; Iv:9-9689o 389-8335i:I4,9-969i5 59 9-8.3 3 654JI9-96940 1609.83378, 8119.96966 2 .,10.03490 ^jio.03465 4!10-°3440 io.o3389 10.03364 10.03338 10.03313 10.03288 10.03262 10.03237 10.03212 10.03186 10.03161 ^10.03136 .10.03110 2 5J IO.O308 5 26iI°-o3o6o I10.03034 9.86867 9.86855 9.86844 9.86832 9.86821 12 12 12 9.86809 9.86798 ^.86786 9.86775 9.86763 9.86752 9.86740 10.0371919.86728 '9.86717 9.86705 9.86694 10.0361719.86682 '9.86670 9.86659 9.86647 10.0351619.86635 9.86624 9.86612 9.86600 10.0341419.86589 9.86577 9.86565 9-86554 9.86542 9-86530 9.86518 9.86507 9.86495 9.86483 9.86472 9.86460 9.86448 9.86436 9.86425 9.86413 1 Cof. Cot. Tang. Sin. |6o. 59 58 j57 55 54 53 52 51 5^ 49 48 47 46 45' 44! 43! 42 41 4£ 39! 38 37 36 35 34 33 32 31 50 12 I 2 12 12 12 11 I 2! 12' 12 II 12 12 11 12; 12 12 11 12 47 Degrees. 10 43 Degrees. Sin. D. o|9-83378; 1i9-83392;I4 29-83405!^ 39.834i9I4 4!9-83432jJ3 59-834461 4 69-83459|T^ 7 9-83473iT2 89.83486, 3 99-835oo; 4 9-83 513^ 3 9-83J27U ^9.83540! 0 -3 9-83554!j^ i49-8356% 3 I59-8358i 69-83594 79.83608 8 9.83621 99-83634 209.83648 21 9.83661 229.83674 23 9.83688 249.83701 259-837i5 Tang. 9.96966 9.96991 D. 25 9.97016 ^3 9.97042 9.97067 9.97092 9.97118 9-97I43 9.97168 9-97I93 9.97219 269.83728 7 9-83741 289.83755 299.83768 309-83781 31 9-83795 i:! 9.83808 t3 339.83821 349-83834 359.83848 369.83861 379-83874 389.83887 399.83901 409.83914 419.83927 42 9-8394' 43 9-83954 449.83967 459.83980 469-83993 47 9.84006 489.84020 499.84033 5c 9.84046 519.84059 529.84072 539.84085 549.84098 55 9.84!12 9.97244 9.97269 9-97295 9.97320 9-97345 9-97371 9-97396 9.97421 9.97447 9.97472 9-97497 9-97523 9-97548 9-97573 9-97598 9.97624 9.97649 9.97674 9.97700 9-97725 *3 1 x4 *3 13 !3 H T3 !3 x3 r4 J3 J3 J3 *4 r3 !3 x3 23 !3 !3 !4 569.84125 579-84138,3. 58 9.84151 ^ 599.841643 609.84177 Cof. 9-97750 9.97776 9.97801 9.97826 9-97^5 9.97877 9.97902 19.97927 I9-97953 9.97978 19,98003 9.98029 9.98054 9.98079 9.98104 9.98150 9-98i55 9.98180 9.98206 9.98231 !3 9.98256 9.98281 9.98307 9-98332 9-98357 Cot. Col. io.o3034;9.864i3 10.03009 10.02984 10.02958 10.02933 10.02908 10.02S82! 10.02857 10.02832 10.02807 jio.02781 110.02756 10.02731 10.02655 10.02629 10.02604 10.02579 10.02553 10.02528 25 25 26 25 25 25 26 25 25; ^jio.02705 10.02680 25:^^h 26 25 25 26 25 25 26 25 25 25 26 25 25 26 25 25 26 25 25 25 26 25! 25 26 25 25 26 25 25: 25 26 9.86401 9.86389 9.86377 9.86366 9-86354 9.86342 9-86330 9.86318 9.86306 9.86295 12 9.86283 9.86271 9.86259 9.86247 9.86235 9.86223 9.86211 9.86200 9.86188 9.86176! !I 2 IO.02503 IO.02477 IO.02452 IO.O2427 10.02402 10.02376 IO.0235I IO.O2326 IO.O23OO 10.0227 5 9.86164 9.86152 9.86140 9.86128 9.86116 9.86104 9.86092 9.86080 9.86068 0.86056 10.02250 10.02224, IO.O2199 IO.02174 IO.02149 10.02123 IO.O2098 10.02073 10.02047 10.02022 IO.OI997 IO.OI971 IO.OI946 IO.OI921 IO.O1896 9.86044 9.86032 9.86020 9.86008 9.85996 9.85984 9.85972 9.85960 9.85948 9-85936 9-98383 9.98408 9-98433 IO.O1870 IO.O1845 IO.Ol82C IO.OI794 IO.OI769 IO.OI744 IO.OI719 IO.O1693 IO. Ol668 IO.O1643 9.85924 9-85912 9.8590° 9.85888 9.85876 9.85864 9.85851 9-85839 9.85827 9.85815 IO.Ol6l’ IO.OI592 IO.OI567 9-98458l26iI°-oi542 9.984841 |io.01516 Cot. Tang. 9.85803 9.85791 9-85779 9.8 066 9-85754 9.85742 9-85730 9.85718 g.8 C706 9-85693 6 c 59 58 57 56 55 54 53 52 51 5^ 49 48 !i5, 44 43 42 41 i° 39 38 37 36 35 34 33 32 31 29 28 27 26 2 5 24 23 22 21 20 I9 18 x7 16 15 M *3 12 11 |io 9 8 12 12 12 12 12 12 J3 I 2j X 2 12; 12 12 12 x3 12 12 12 12 Sin. !3 46 Degrees. - I 27 I J 28 LOGARITHMIC SINES AND TANGENTS. 44 Degrees. Sin. 4\ 59 69 79 •84i77 .84190 84203 .84216 .84229 .84242 9 9 9 1 Ij9' 129, I3!9' 149. T5 9' 84255 84269 84282 84295 843°8 .8432 •84334 ■84347 .84360 84373 21 *2 23 24 25 26 ^27 28 29 3° ■84385 .84398 ,84411 ,84424 84437 .84450 ,84463 .84476 '84489, 84502 845I5 84528 84540 84553 84566 c^r* D, 13 r3 r3 x3 ‘4 !3 !3 J3 r3 !3 !3 x3 l3 12 !3 !3 !3 J3 !3 J3 J3 13 13 13 r3 12 13 13 Tang. 9.98484 9.98509 9-98534 9.98560 9-98585 9.98610 9-98635 9.98661 9.98686 9.987x1 9-98737 9.98762 9.98787 9.98812 9.98838 9.98863 D. Cot. 9.98888 9.989x3 9.98939 9.98964 9.98989 9-99OI5 9.99040 9.99065 9.99090 9.99116 9.99141 9.99166 9.99191 9.992x7 9.99242 25 25 26 25 25 2 5 26 25 25 26 25 25 25 26 25 25 25 26 25 2 5 26 25 25 2 5 26 25 2 5 2 5 26 25 Cot. 10 10 10 10 10 10 10 10 10, 10. 10, 10, 10. 10. 10. 10. 10. 10. 10. 10. 10. 10 10 10 10 10 10, 10 10, 10 10 .01516 .01491 .01466 .01440 .01415 .01390 Cof. D, '°i365 'OI339 01314 01289 01263 .01238 ,01213 ,01188 ,01162 ■OII37 .0X1X2 .OI087 .OI061 .OIO36 .010X1 .00985 .00960 ,00935 .00910 ,00884 9 •85693 .85681 85669 85657 -85645 .85632 .8 5620 .85608 85596 1 85583 85571 •85559 •85547 ■85534 •85522 ,85510 •85497 .85485 •85473 ,8 9460 •85448 .00859 .00834 .00809 .00783 .00758 Tang. 85436 85423 85411 85399 85386 •85374 .85361 •85349 •85337 ■85324 Sin. 60 59 58 57 56 55 54 53 52 51 5£ 49 48 47 46 45 44 43 42 41 4° 39 38 37 36 35 34 33 32 31 3° 4 5 Degrees. 44 Degrees. ' Sin. D. 469 47 48 49 50 51 52 53 54 55 569 57 58 59 60 9.84566 9-84579 9.84592 9.84605 9.84618 9.84630 9-84640 9.84656 9.84669 9.84682 9.84694 9.84707 9.84720 9-84733 9-84745 9.84758 .84771 9.84784 9.84796 9.84809 9.84822 9-84835 9.84847 9.84860 9.84873 9.84885 .84898 9.84911 9.84923 9.84936 9.84949 Cof. 9-99242 9.99267 9.99293 9.99318 9-99543 9.99368 Tang. 9-99394 9.99419 9-99444 9.99469 9-99495 9.99520 9-99545 9-9957° 9.99596 9.99621 9.99646 9.99672 9.99697 9.99722 9.99747 9-99773 9.99798 9.99823 9.99848 9.99874 9.99899 9.99924 9.99949 9-99975 0.00000 Cot. D. Cot. Cof. jD. 10.00758 10.00733 10.00707 10.00682 10.00657 10.00632 10.00606 10.00581 io.oo556;9 •85324I2 •853x2^ 85299 3 85287 85274 85262 10.00531 10.00505 10.00480 10.00455 xo.00430 10.00404 10.00379' I0-00354 10.00328 10.00303 10.00278 10.00253 10.00227 10.00202 10.00177 10.00 x 52 10.00x26 IO.OOIOI 10.00076 10.00051 10.00025 10.00000 Tang. 8525° 85237 85225 85212 85200 .85187 '85i75 ,85162 ,85150 85137 85i25 85112 85100 85087 85074^ |12 12 I 2 X3 12 r3 12 J3 12 13 12 *3 12 ,85062! 85049II2 85037 85024 85012 84999 84986 84974 84961 84949 Sin. 45 Degrees. L O G logarith- LOGARITHMIC CURVE. If on the line AN mit curve, both ways indefinitely extended, be taken AC, CE, ' "plate -EG? GI, IL, on the left hand j and alfo A^, ^ P, -CCXCVII ^-c- on t^le right* equal to one another j and if at the fig. 3. points P^-, A, C, E, G, I, L, be eredded to the right line AN, the perpendiculars PS, g (f, AB, CD, EF, GH, IK, LM, which let be continually proportional, and reprefent numbers, viz. AB, 1 j CD, 10 j EF, IOO, &c. then {hall we have two progreffiom of lines, arithmetical and geometrical: for the lines AC, AE, AG, &c. are in arithmetical progreffion, or*as 1, 2, 3, 4, 5, &c. and fo reprefent the logarithms to which the geometrical lines AB, CD, EF, &c. do correfpond. For fince AG is triple of the firft line AC, the number GH fhall be in the third place from unity, if CD be in the firft : fo likewife (hall LM be in the fifth place, fince ALrrrj AC. If the extremities of the proportionals 5, d, B, D, F, &c. be joined by right lines, the figures SBML will become a polygon, confifting of more or lefs fides, according as there are more or lefs terms in the progreflion. If the parts AC, CE, EG, &c. be bifecled in the points c, e, g, i, /, and there be again raifed the per¬ pendiculars, c d, ef, g 7i, i k, l m, which are mean pro- iportionals between AB, CD, CD, EF, 8tc. then there 3 LOG will arife a new7 feries of proportional? w7hofe terms, be- Loaarith- ginning from that wThich immediately follows unity, are mic curve* double of thofe in the firft feries, and the difference of ''""-“v~“ "J the terms is become lefs, and approaches nearer to a ratio of equality than before. Likewife, in this new feries, the right lines AL, A c, exprefs the diftances of the terms LMcr/, from unity, viz. fince AL is ten times greater than A c, LM {hall be the tenth term of the feries from unity -, and becaufe A , in geometrical progref- fion. From one of the points of interfedlion f 'm the laft-mentioned line IK, draw the line fg parallel to GH, and interfering the arrangement in the points 1, hi; and the ratios of the numbers e,f c /, will be equal, as well as of ah} becaufe the intervals on the loga¬ rithmic line, or differences of the logarithms of thofe numbers, are equal. Again, The pointyi the line and the line kb, are in arithmetical progreflion denoting the differences between the logarithms of the numbers themfelves 5 whence the quotients of the numbers are in geometrical progreflion. The 2d propofition is proved in a fimilar manner. For as it was Ihown that the line fg, parallel to GH, paffes through points of divifion denoting numbers in the fame continued ratio as thofe indicated by the line GH j it may alfo be drown, that the line LM parallel to any other line IK, will pafs through a feries of points denoting numbers which have the fame continued ratio with thofe indicated by the line IK, to which it is parallel. The 3d 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 loga¬ rithmic line alfo remains unchanged; whence the dif¬ ferences between the logarithms of the oppofite num¬ bers, and of confequence their ratios, will always be conftant. 5. Suppofing now an antecedent and confequent to be given in any geometrical feries, it will always be poffible to find them, provided the line be of unlimited length. Drawing two parallel lines, then, through each of the numbers, and fuppofing the lines to move with¬ out changing their diredion or parallel fituation, they will continually defcribe 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 10, it will not be found neceffary for the purpofes of computation to re¬ peat it. The only tiling requifite is to have a Aider or beam with two fixed points at the diftance of the interval betwixt 1 and 10, and a moveable point made to range betwixt them always to indicate the antece¬ dent ; then, if the confequent fixed point fall with- R out LOG [ r Logarith- out the rule, the other fixed point will always denote mic Lines. t]-,e divJf10n Dn which it would have fallen had the rule been prolonged ; and this contrivance may ealily be adapted to any arrangement of parallel lines whatever. The arrangement of right lines, however, ought al¬ ways to be difpofed in fuch a manner as to occupy a right-angled parallelogram, or the crofs line already mentioned ought always to be at right angles to the length of the ruler. Tig. y. is a ruler confifting cf 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 diifance equal to the length of the ruler, and liave their edges placed in fuch a manner as to form with the parallel lines which they interfeft a ratio, which by compofition is ^-s *, 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 Hide the piece A to the an¬ tecedent ; obferving the difference 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 interfe& 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 confequent piece, and fall without the ruler, the piece C will fhovv the confequent one line lower j or if C, in like manner, fall without the ruler, then B will Ihow the confequent one line higher.— “ It might be convenient (fays Mr Nicholfcn) for the purpofe of computation, to make infiruments 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 inwards from the oppofite edge of the ruler.” Fig. 9. is an inftrument on the plan of a Gunter’s fcale of 28^ inches long, invented by Mr Robert- fon. There is a moveable piece AB in the Aider GH, acrofs which is drawn a fine line ; the Aider ha¬ ving alfo lines CD, EF, drawn acrofs it at diAances 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 30 ] LOG 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- quents in that ratio will be in the fame manner j and the contrary if they do not. But if the confequent line fall without the rule, the other Axed line on the Aider will Aiovv the confequent, but on the contrary fide of the Aider to that where it would clfe have been feen by means of the firft confequent Ime. Fig. ic. is a circular inftrument equivalent to the former ; confifting of three concentric circles engraved and graduated upon a plate of an inch and a half dia¬ meter. Two legs A and B proceed from the centre, having right-lined edges in the direction of radii 5 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 be¬ tween the legs, and B be the confequent leg, the num¬ ber fought will be found one line farther from the cen¬ tre than it would otherwife have been ; and on the con¬ trary, it will be found one line nearer in the like cafe, if A be the confequent leg. “ This inftrument (lays Mr Nicholfon), differing from that reprefented fig. 7. only in its circular form, and the advantages reiulting from that form, the fines muft be taken to fucceed each other in the fame manner laterally; fo that numbers which fall either within or without the arrangement of circles, will be found on fuch lines of the arrangement as would have occupied the vacant places if the fucccf- fion of lines had been indefinitely repeated fidewife. “ I approve of this conftruflion as fuperior to every other which has yet occurred to me, not only in point of convenience, but likewife 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 a half diameter. “ The circular inftrument is a combination of the Gunter’s line and the feftor, with the improvements here pointed out. The property of the feclor may be ufeful in magnifying the differences of the logarithms in the upper parts of the fine of fines, the middle of the tangents, and the beginning of the verfed fines. It is even poflible, as mathematicians will eafily conceive, to draw fpirals, on which graduations cf parts, everywhere equal to each other, will fliow the ratios of thofe fines by moveable radii, fimilar to thofe in this inftrument.” LOGIC- LOGIC fs the art of thinking and reafoning juftly j ‘ or, it may be defined the fcience 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 deductions 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 Part I. LOG Of raent of truth and knowledge. It lays open thofe errors Perception. anj miftakes we are apt, through inattention, to run u- y . i jntQ . an(j ttaches us how to diftinguiih 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 I C. *3* reach ; where we may attain certainty and demonftra- tion ; and when w^e mull be contented with probability, ^ This fcience is generally divided into four parts, viz. Perception, "judgement, Reafoning, and Method* This divilion comprehends the whole biliary of the fenfations and operations of the human mind. PART I. OF PERCEPTION. WE find ourfelves furrounded with a variety of ob- jefts, which afting differently upon our fenfes, con¬ vey ditlinfl impreflions into the mind, and thereby roufe the attention and notice of the underllanding. By refle&ing too on what paffes within us, we become fenfible of the operations of our own minds, and at¬ tend to them as a new- fet of impreflions. But in all this there is only bare confcioufnefs. The mind, with¬ out proceeding any farther, takes notice of the im- preflions that are made upon it, and views things in order, as they prefent themfelves one after another. This attention of the underllanding to the objedl act¬ ing upon it, whereby it becomes fenfible of the im- preffions they make, is called by logicians perception ; and the notices themfelves, as they exilt in the mind, and are there treafured up to be the materials of think¬ ing and knowledge, are dillinguilhed by the name of ieteas. In the article METAPHYSICS it lhall be Ihown at large, how the mind, being furnilhed with ideas, contrives to diverlify and enlarge its Hock : we have here chiefly to conlider the means of making know-n our thoughts to others ; that we may net only underftand how- knowledge is acquired, but alfo in what manner it may be communicated with the greatell certainty and advantage. Chap. I. Of Words, confdered as thefgns of our Ideas. Words for- I. Our ideas, though manifold and various, are ne- nifh the, verthelefs all within our own breafts, invifible to o- means of t]ierSj nor can 0f themfelves be made appear. But ouCr°ownS God, defigning us for fociety, and to have fellowlhip thoughts; with thole of our kind, has provided us with organs fitted to frame articulate founds, and given us alfo a capacity of tiling 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, Quftom by degrees efta- blilhes fuch a connexion between them, that the ap¬ pearance of the idea in the underftanding always brings to our remembrance the found or name by w-hich 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 connexion being once fettled, as the fame founds will always ferve to excite the fame 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 thefe th ughts at pleafure, and that too in the very manner of their firft appearance. Ac¬ cordingly we find, that the inventions of writing and printing, by enabling us to fix and perpetuate fuch perilhable things as founds, have alfo furnilhed us with the means of giving a kind of permanency to the tranfaflions of the mind, inforauch that they may be in the fame manner fubjedled to our review as any other objects of nature. _ 2 II. But belides the ability of recording our ow-n and of thie thoughts, there is this farther advantage in the ufe ofmutual external figns, that they enable us to communicate our thoughts to others, and alfo to receive inf01'ma^0n knowledge of what pafl'es in their breafts. For any number of men,fromone having agreed to eftabhfh the fame founds as figns ot man to anor the fame ideas, it is apparent that the repetition oftiier> thefe founds mull excite the like perceptions in each, and create a perfe£l correfpondence of thoughts. When, for inllance, 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 more evident, than that, by repeating thofe names according to the tenor of my prefent concep¬ tions, I lhall raife in their minds the fame courfe of thought as has taken pofleffion of my own. lor by barely attending to what pafles within themfelves upon hearing the founds which I repeat, they will al¬ fo become acquainted with the ideas in my under¬ llanding, and have them in a manner laid before their view-. °So that we here clearly perceive how a man may communicate his fentiments, 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 j it may be alked, how in thefe cir- cumftances we can become acquainted with the thoughts of another, w-hen he makes ufe of w-ords, to which we have never annexed any ideas, and that of courfe can raife no perceptions in our minds ? In order to un¬ veil this myllery, and give fome little inlight into tiie foundation, growth, and improvement of language, the following obfervations will be found of conlider- able moment. 3 III. Firft, That no word can be to any man thesimple fign of an idea, till that idea comes to have a real ex- ideascannot iftence in his mind. For names, , being only fo far in-^jconvey- telligible as they denote known internal concePtions i^ind by w-here they have none fuch to anfw-er them, there worcjs> or they are plainly founds without fignification, and ofadeferip- courfe convey no inllruflion or know-ledge. But nod011* fooner are the ideas to w-hich they belong raifed in the underftanding, than, finding it eafy to conned! them with the eftablilhed names, we can join in any .agree¬ ment of this kind made by others, and thereby enjoy the R 2 beueil LOGIC. Part I. The names of complex ideas defin¬ able ; thofe of Ample ideas not. benefit of their difcovencs. The firfl: thing therefore to be confidered is, how thefe ideas may be conveyed in¬ to the mind ; that being there, we may learn to con¬ nect them with their appropriated founds, and fo be¬ come capable of underllanding others when they make ufe of thefe founds in laying open and communicating their thoughts. Now, to comprehend this diltinftly, it will be neceffary to attend to the divilion of our ideas into fimple and complex, (fee Metaphysics.) And firft, as for our limple ideas; they can find no admiffion into the mind, but by the two original fountains of knowledge, fenfation and reflection. If therefore any of tbefe have as yet no being in the un- derflanding, it is impoffible by wmrds or a defcription to excite them there. A man who had never felt the fenfation of heat, could not 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 inuft be by applying the proper objeCl 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 heat, 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 w-orld would not have been fufficient to convey into his mind. The cafe is the fame in refpeCl 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 underfland the names by which they are expreffed. The reafon is plain : they ftand for ideas that have no exiflence 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 colle&ions are made have already got ad- million 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 w7ho has never feen the appearance itfelf, by bare¬ ly defcribing the figure, largenefs, polition, and or¬ der of colours j if wre fuppofe thefe feveral fimple ideas, with their names, fufficiently known to him. IV. And this leads to a fecond obfervation upon this fubjeft, namely, That words Handing for complex ideas are all definable, but thofe by which we denote fimple ideas are not j for fimple ideas being fecondary perceptions, winch have no other entrance into the mind than by fenfation or refleflion, can only be got by experience, from the feveral objefts of nature, pro¬ per to produce thofe perceptions in us. Words indeed may very well ferve to remiftd us of them, if they have already found admiflion into the underftanding, and their connexion with the eftablilhed names is known $ but they can never give them their original being and exiftence there. And hence it is, that when any one alks 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 impoflible ; but, fuppofing Of him already acquainted with the idea, and only igno- Perception.^ rant of the name by which it is called, we either men¬ tion it to him by fume other name with which we prefume he knows its connexion, or appeal to the ob¬ ject where the idea itfelf is found. Thus, were any one to afk the meaning of the word white, we ftiould tell him it ftood for the fame idea as albus in Latin, or b/anc in French j or, if we thought him a ftranger to thefe languages, we might appeal to an objedt produ¬ cing the idea, by faying it denoted the colour we ob- lerve in fnow 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 connexion with the eftablilhed name. For if the ideas after which he inquires have never yet been raifed in his mind ; as fuppofe one who bad feen no other colours than black and white, ftiould alk the meaning of the word fear let ; it is eafy to perceive, that it wmuld 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 objc£t, by looking at w hich the perception itfelf may be excited; and thus he will learn both the name and the idea together. ^ V. But howr comes it to pafs that men agree in the Experience names of their fimple ideas, feeing they cannot view and obfer- the perceptions in one another’s minds, nor make known ',atlon thefe perceptions by wmrds to others? The effeft is^1^^^ produced by experience and obfervation. Thus find- rnent ;n tke ing, for inftance, that the name of heat is annexed to names of that fenfation which men feel when they approach thefimpfe fire, I make it alfo the fign of the fenfation excited iri^eas- me by fuch an approach, nor have any doubt but it denotes the fame perception in my mind as in theirs. For wre are naturally led to imagine, that the fame ob¬ jects operate alike upon the organs of the human bo¬ dy, and produce an uniformity of fenfations. No man fancies, that the idea raifed in him by the tafte of fu- gar, and which he callsfweetnefs, differs from that ex¬ cited in another by the like means j or that worm- wood, to whofe relilh he has given the epithet bitter, produces in another the fenfation which he denotes by the word fweet. Prefuming therefore upon this con¬ formity 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 ferutiny into things, new ideas of this clafs come in our way, which we choofe to exprefs by terms of our own in¬ vention j thefe names are explained, not. by a defini¬ tion, but by referring to the objetffs whence the ideas themfelves may be obtained. ^ VI. Being in this manner furnilhed with Amplecon_ ideas, and the names by w’hich they are expreffed \ the veyance of meaning of terms that ftand for complex ideas is ea-complex fily got, becaufe the ideas themfclves anfwering t° ^e- thefe terms may be conveyed into the mind by defi- wife contri- nitions. For our complex notions are only certain Vance in na~ combinations of fimple ideas. When therefore thefe ture; 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 j and thus the term denoting it comes of courfe to be underftood. And here it is worth while to refledl Part I. L O Of a little upon the wife contrivance of nature, in thus Percepticn. fjimifting us with the very aptefl. means of commu- v ~' nicating our thoughts. For were it not fo ordered, that ive could thus convey our complex ideas from one to another by definitions, it would in many cafes be impoffible to make them known at all. This is apparent in thofe ideas which are the proper work of 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 j if we could not make them known by defcription, they maft 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 flrife from time to time in the poet’s fancy, and by his lively painting give fuch entertainment to his readers, were he dellitute of this faculty of laying them open to the view of others by words and de¬ fcription, conic? not extend their influence beyond his own imagination, or give joy to any but the original y inventor. and of VII. There is this farther advantage in the ability great avail we enjoy of communicating our complex notions by improve-the ^e^n^ons » that as thefe make by far the largeft clals ment of our ideas, and moft frequently occur in the progrefs knowledge. ajtd improvement of knowledge, fo they are by thefe 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 admiflion into the mind. Whereas, in fimple perceptions, where we are referred to the objefts producing them, if thefe cannot be come at, as is fometimes the cafe, the names by which they are exprefled mull remain empty founds. But new ideas of this clafs occurring very rarely in the fciences, they feldom create any great obftru&ion. 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 jvords, 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 own invention, when they are made to Hand for new complex ideas fuggefted to the mind by fome prefent train of thinking. And thus at laft we are let into the myftery hinted at in the beginning of this chapter, viz. how we may become acquainted with the thoughts of another, when he makes ufe of words to which we have as yet joined no ideas. The anfwer is obvious from what has been already faid. If the terms denote fimple perceptions, he muft refer us to thefe objects of nature whence the perceptions themfelves are to be obtained j but, if they Hand for complex ideas, their meaning may be explained by a definition. Chap. II. Of Definition. Definition I- A Definition is the unfolding of fame conception defined. of the mind, anfiwering to the word tr term made ufe of as the fign of it. Now as, in exhibiting any idea to ano¬ ther, it is neceffary that the defcription be fuch as may excite that precife idea in his mind; hence it is plain that definitions, properly fpeaking, are not arbitrary, but G 1 C. 133 confined to the reprefenting of certain determinate OF fettled notions, fuch namely as are annexed by the Perception. fpeaker or writer to the words he ufes. As never- 1,7 thelefs it is univerfally allowed that the fignification of words is perfedlly voluntary, and not the effect of any natural and neceffary connexion between them and the ideas for which they ftand ; fome may perhaps wonder why definitions are not fo too. In order therefore to unravel this difficulty, and ffiow diftin&ly what is and what is not arbitrary in fpeech, we mult carefully diltinguiffi between the connexion of our words and ideas, and the unfolding of the ideas them¬ felves. ^ II. Firft, as to the connexion of our words and ideas; The con- this, it is plain, is a purely arbitrary inftitution. When, nex^on he- for inftance, we have in our minds the idea of any^,rdsand particular fpecies of metals, the calling it by the name jdcajaper- gold is an effect of the voluntary choice of men fpeak- fectly vo- ing the fame language, and not of any peculiar aptnefs luntary e- in that found to exprefs that idea. Other nations we find make ufe of different founds, and with the famemen ’ effect. Thus aurum denotes that idea in Latin, and or in French ; and even the word gold itfelf would have as well ferved to exprefs the idea of that metal which we call fiver, had cuftom in the beginning eita- blilhed it. r® III. But although we are thus entirely at liberty in The dc. conne£ling any idea with any found, yet it is quite ^nPG°n of otherwife in unfolding the ideas themfelves. For. e- b^bound-’ very idea having a precife appearance of its own, by ed to the which it is diftinguilhed from every other idea: it is reprefenta- manifeft, that in laying it open to others, we muft t*on .or tbat ftudy fuch a defcription as ffiall exhibit that peculiar pearancefby appearance. When we have formed to ourfelves the which they idea of a figure bounded by four equal lides, joined are diftin- togetber at right angles, we are at liberty to exprefs ll- that idea by any found, and call it either a fquare or a ^°nsf , triangle. But whichever of thefe names we ufe, fo cmeves“ long as the idea is the fame, the defcription by which we would fignify it to another muft be fo too. Let it be called fquare or triangle, it is ftill 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 eftablilhing any found as the mark of fome determinate idea in the mind, is the effedt of free choice, and a voluntary combination among men : and as different nations make ufe of different founds to denote the fame ideas, hence proceeds all that va¬ riety of languages which we meet with in the world. But when a connexion between our ideas and words is once fettled, the unfolding of the idea anfwering to any word, which properly conftitutes a definition, is by no means an arbitrary thing: for here we are bound to exhibit that precife conception which either the ufe of language, or our own particular choice, hath annexed to the term we ufe. ri IV. And thus it appears, that definitions, confidcred Cauies of as deferiptions of ideas in the mind, are fteady and in- the obicurk variable, being bounded to the reprefentation of thefe Vlhat has precife ideas. But then, in the application of defini- hetrhjgt0d tions to particular names, we are altogether left to our j^theory own free choice. Becaufe as the conne&ing of any ofdefini- idea with any found is a perfeftly arbitrary inftitu-tions* tion, the applying the defcription of that idea to that . found muft be fo too. When therefore logicians tell 134 Of . us tliat the definition of the name is arbitrary, they Perception. mean no more tllan this; that as different ideas may be connefted 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 connected. But this connexion being fettled, and the term confidered as the fign of fome fixed idea in the underftanding, we are no longer left to arbitrary explications, but muff fludy fuch a defcrip- tion 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 final 1 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 W'e fay that a clock is an injlrument by which we meafure time; that is by fome called a definition ; and yet it is plain that wre are beforehand fuppofed to have an idea of this infhument, and only taught that the word clock ferves in common language to denote that idea. By this rule all explications of words in our dictionaries will be definitions, nay, the names of even fimple ideas may be thus defined. White, we may fay, is the co¬ lour we obferve in fnow or milk ; heat the fenfation produced by approaching the fire; and fo in innumera¬ ble other inftances. But thefe, and all others of the like kind, are by no means definitions, exciting new ideas in the underftanding, but merely contrivances to remind us of known ideas, and teach their connexion with the eftablifhed names. Complex V. But now' in definitions properly fo called, w'e ideas alone firft confider the term we ufe, as the fign of fome in¬ capable of ward conception, either annexed to it by cuftom, or that kind of our own free choice : and then the bufmefs of the'de- wbicKoes finiti°n is to unfold and explicate that idea. As there¬ by tlie name l0re tlm whole ait lies in giving juft and true copies of a ded*i- of our ideas; a definition is then find to be made per- tion. when it ferves diftinftly 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 which 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 objefts whence they are derived come not in our way, or the avenues appointed by nature for their reception are wanting, no defeription is f'ufficient 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 diflinclly laid open, by enume¬ rating the fimple ideas concerned in the various col- le&ions, and tracing the order and manner in which they are linked one to another. Now thefe combi¬ nations of fimple notices conftitute wftiat w'e call our complex notions, whence it is evident, that complex ideas, and thofe alone, admit of that kind of deferio- tion which goes by the name of a definition. VI. Definitions, then, are pidures or reprefenta- % tions of our ideas ; and as thefe reprefentations are then only poffible when the ideas themfelves are 2 Part I. complex, it is obvious to remark, that definitions Of cannot have place, but where we make ufe of terms Perception, ftanding for fuch complex ideas. But our complex "* v ' ideas being, as we have faid, nothing more than dif¬ ferent combinations of fimple ideas ; we then know and comprehend them perfedUy, when wre know' the feveral fimple ideas of w'hich they confift, and can fo put them together in our minds as may be neceffary towards the framing of that peculiar connexion which gives every idea its diftind and proper appearance. ^ VII. Two things are therefore required in every Two thino-s definition: firft, Ibat all the original ideas, out of required m which the complex one is formed, be diftindly enu-a definition» merated ; and, fecondly, That the order and manner of combining them into one conception be clearly ex- khas'am! plained. Where a definition has thefe requilites, no-explain the thing is wanting to its perfedion ; becaufc every onemanner°i' who reads it and underftands the terms, feeing at once tl?eir.corn' what ideas he is to join together, and alio in what Dmatl°nS' manner, can at pleafure form in his own mind the complex conception anfvvering to the term defined. Let us, for inftance, fuppofe the word fquare to Hand for that idea by which w’e 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 mull 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 mull alfo take notice of the manner of putting them together, if we would ex¬ hibit the precife idea for which the word fquave here Hands. For four equal right lines, anyhow joined, will not fubtend quadrants of a circumfcribed circle. A figure with this property mull have its fides ftand¬ ing alfo at right angles. Taking in therefore this laft confideration refpeiling the manner of combining the parts, the idea is Lilly 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. I4 VIII. It will now be obvious to every one, in what How we manner we ought to proceed, in order to arrive at juft a,e t0 P™- and adequate definitions. Firft, We are to take anc.eed t0,arJ ex-aft view .of die idea to be deferibed, trace it to its and ade^ original principles,, and mark the feveral fimple per- quate defi. ceptions that enter into the compofition of it. Second-nitions. ly, 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 Hands. When this is done, and the idea wholly unravelled, we have nothing more to do than fairly tranferibe the appearance it makes to our own minds. Such a defeription, by diftimftly exhibit¬ ing the order and number of our primitive conceptions, cannot fail to excite at the fame time in the mind of every one that reads it, the complex idea refulting from them ;. and therefore attains the true and proper end of a definition. Chap. III. Of the Compoftion and Reflations of our our Ideas, and the Rules of Definition thence arifing, I. The rule laid down in the foregoing chapter is general, extending to all poflible cafes; and is indeed that LOGIC. Part I. LOGIC. O* that to which alone we can have recourfe, where any Perception. Jou'yt or difficulty arifes. It is not, however, neceffary \ ■\r~~- tinat we j|i0,jld prailife it in every particular inftance. In corn. Many of our ideas are extremely complicated, info- pour.ding much that to enumerate all the fimple perceptions out our ideas, Qf which they are formed, would be a very trouble- we proceed pime an(j tedious work. For this reafon logicians five21 rada-'kave eitabliffied certain compendious rules of defining, tion/ cf which it may not be amifs here to give fome ac¬ count. But in order to the better underftanding of what follows, it will be necefiary to ebferve, that there is a certain gradation in the compofition of cur ideas. The mind of man is very limited in its views, and cannot take in a great number of objects at or.ee. We are therefore fain to proceed by Heps, and make our firfit advances lubfervient to thofe which follow. Thus, in forming our complex notions, we begin at firft with but a few fimple ideas, fuch as we can ma¬ nage with eafe, and unite them together into one con¬ ception. When we are provided with a fufficient itock 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 continued to any degree of compofition we pleafe, mounting from one ftage to another, and enlarging the number ot com- ^ binations. Hence ideas H- But now in a feries of this kind, whoever would of this clafs acquaint himfeif perfe&ly with the laft and higheft beft com- order of ideas, finds it much the moft expedient me- prehended, (UjQd (-0 proceed gradually through all the interme- advance£ diate fleps. For, were he to take any very compound gradually idea to pieces, and, without regard to the feveral through all clafies of fimple perceptions that have already been the feveral formed into diftinft combinations, break it at once in- Oio.n. its original principles, the number would be fo great as perfectly to confound the imagination, and over¬ come the utmofl reach and capacity of the mind. When v/e fee a prodigious multitude of men jumbled together in crowds, without order or any regular pofi- tion, we find it impoflible to arrive at an exact know¬ ledge of their number. But if they are formed into feparate battalions, and fo ftationed as to fall within the leifure furvey of the eye *, by viewing them fuccef- fively and in order, we come to an eafy and certain de¬ termination. It is the fame in our complex ideas. When the original perceptions, out of which they are framed, are very numerous, it is not enough that we take a view of them in loofe and fcattered bodies j we muft form them into diftind! clafles, and unite thefe claffes in a juft and orderly manner, before wre can ar¬ rive at a true knowledge of the compound notices re- fulting from them. III. This gradual progrefs of the mind to its com- tTons fliould Pountl notions, through a variety of intermediate fteps, keep pace plainly points out the manner of conducing the defi- withour nitions by which thefe notions are conveyed into the obferve^ m"ic*s ot^ers- Bor as the feries begins with fimple like grada- an<^ cafy combinations, and advances through a fuc- tion. ceffion of different orders, riling one above another in the degree of compofition, it is evident, that, in a train of definitions exprefling thefe ideas, a like gradation is to be obferved. Thus the complex ideas of the lowed order can no otherwife be deferibed than bv 17 Our defini- 135 enumerating the fimple ideas out of which they are Of made, and explaining the manner of their union. But lk‘rcePt)~01-; then in the fecond, or any other fucceeding order, asv "'J they are formed out of thofe gradual combinations, and conftitute the inferior claffes, it is not neceffary, in de- feribing them, to mention one by one all the fimple. ideas of which they confift. They may be more diltindl- ly and briefly unfolded, by enumerating the compound ideas of a lower order, from whole union they refult, and which are all fuppofed to be already known in con- fequence of previous definitions. Here then it is that the logical method of defining takes place ; which, that it may be the better underftood, we lhall explain forae- what more particularly the feveral fteps and gradations of the mind in compounding its ideas, and thence de¬ duce that peculiar form of a definition which logicians have thought fit to eftablilh. jS IV. All the ideas we receive from the feveral ob-The fteps jefts of nature that furround us, reprefent diftin£t in-by which dividuals. Thefe individuals, when compared toge-A1-6 1T“n^ ther, are found in certain particulars to refemble each?ro"eeils . 1 tt 1 nv 1 r 1 v • 1 from parti- ptner. Hence, by collecting the reiembkng particulars cuiar t0 ge_ into one conception, we form the notion of a fpecies. ner&l ideas. And here let it be obferved, that this laft idea is lefs complicated than that by which we reprefent any of the particular objefls 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 fevsral fpecies com¬ pared, and retain only the particulars wherein they agree. It is eafy to conceive the mind proceeding thus from one ftep to another, and advancing through its feveral claffes of general notions, until at laft it comes to the higheft genus of all, denoted by the wrard being, where the bare idea of exiftence is only con¬ cerned. V. In this procedure we fee the mind unravelling The edn- a complex idea, and tracing it in the afeending fcale,'Hk the from greater or lefs degrees of compofition, until itmm 1 m terminates in one fimple perception. If now we take the feries the contrary way, and, beginning with the ideas, as it laft or higheft genus, carry our view downwards, advances through all the inferior genera and fpecies, quite to through the individuals, we ftiall thereby arrive at a orders apprehenfion of the conduft of the underftanding in0fperceii- compounding Sts ideas. For, in the feveral claffes of tion. our perceptions, the higheft in the fcale is for the moft part made up of but a few fimple ideas, fuch as the mind can take in and furvey with eafe. This firft general notion, when branched out into the dift'erent fubdivifions contained under it, has in every one of them fomething peculiar, by which they are diftin- guiflied among themfelves j infomuch that, in de-. feending from the genus to the fpecies, we always fuperadd fome new idea, and thereby increafe the degree of compofition. Thus the idea denoted by the w'ord figure is of a very general nature, and compo- fed of but few fimple perceptions, as implying no more than fpace everywhere bounded. But if wre defeend farther, and confider the boundaries of this fpace, as that they may be either Uries or furface, we fill! LOGIC. Part I 7.0 The idea of the fpecies found by- fuperad- ding the fpecific dif¬ ference to. the genus. fall Into tlie feveral fpecies of figure. For where the fpace is bounded by one or more furfaces, we give it the name of a folidfigure ; but where the boundaries are lines, it is called a plain figure (a). VI. In this view of things it is evident, that the fpecies is formed by fuperadding a new idea to the genus. Here, for inftance, the genus is circumfcrib- ed fpace. If now to this we fuperadd the idea of a circumfcription by lines, we frame the notion of that fpecies of figures which are called plain; but if we conceive the circumfcription to be by furfaces, we have the /fpecies of folid figures. This fuperadded Of idea is called the fipecific difference, not only as it ferves Perception.^ to divide the fpecies from the genus, but becaufe, being different in all the feveral fubdivifions, we there¬ by alfo dillinguilh the fpecies one from another. And as it is likewife that conception, which, by being joined to the general idea, completes the notion of the fpecies : hence it is plain, that the genus and fpe¬ cific difference are to be confidered as the proper and conflituent parts of the fpecies. If we trace the pro- grefs of the mind ftill farther, and obferve it advancing through (a) This account of the compofition and refolution of our ideas is agreeable to the common do&rine of lo¬ gicians on the fubjeft. Into the truth of the do&rine itfelf we fhali inquire afterwards under the article Metaphysics : but to prevent miftakes, it may be proper to obferve here, that though every writer of logic has treated largely of general and fipecific ideas, there is in reality nothing general in the matter but the terms of language. When we utter, for inftance, the word triangle, that general term does not, as has been often faid, fuggeft to the mind the general idea of a triangle, which is neither oblique nor reBangle, neither equilateral nor Ccalenon, &c. forfiuch a triangle, as it cannot exijl in nature, cannot be conceived in idea. In like manner, the general term Vii'tue does not excite a general idea of virtue, which is neither prudence, nor temperance, nor fortitude, nor jufiice, nor charity, &c. for that which is difiinSl from all thefe is not virtue. What then is the import of fuch general terms ? The anfwer is obvious: they denote clajfies of objetfs ; and are never ufed without fome word of limitation, but when fomething that has no dependence upon the particular qualities, which diftinguilh the individuals from each other, is affirmed or denied of the whole clafs. Thus we may affirm, that the three angles of a plain triangle are equal to tvco right angles: and this propofition is demonftrably true, not of a triangle, which is neither oblique nor reBangle, neither equilateral nor ficalenon, for fuch a triangle never was conceived ; but of all thefe triangles equally, as the truth of the propofition and the progrefs of the demonftration has no dependence upon the peculiarities which difiinguifh thefe triangles from one another. Again, When we fay that a man of virtue will be rewarded by God, we do not mean by the word virtue a general idea making part of each of the complex and more particular ideas of prudence, fortitude, jujlice, &c. and at the fame time dif¬ ferent from them all ; but we affirm, that the man who pra£lifes any or all of thefe virtues, according as he has opportunity, will be rewarded by God. The hiftory of our ideas is ffiortly this :—That aft of the mind, if it may be called an aEt, which makes known an external objeB, is termed perception. That aft of the mind which makes known an internal ob- jeB, is termed consciousness. Objefts once perceived may be recalled to the mind by the power of me¬ mory; and when they are fo recalled, we have a perception of them in all refpefts fimilar to the original per¬ ception, only lefs diftinft ; we fancy ourfielves in the fame place, and the objeB perceived attended by the fame circurrfiances. This indiftinft fecondary perception of an objeft is termed an idi:a 5 and therefore the precife and accurate definition of an idea, in contradiftinftion to an original perception, is “ that perception of a real ob¬ jeft which is railed in the mind by the power of memory.” Now all our original perceptions being of par¬ ticular objcBs, it is obvious that our ideas, which are only thofe perceptions recalled, muft be of particular ob- jeBs likewife, and that no man can have an idea of a thing of which the real exifence is contradiftory and im- poffible. But the general and fpecific ideas of logicians, are ideas of nothing which exifis, or which can pojfbly exi/l. They are acquired, we are told, by abf raBion, in the following manner. Among a number of indivi¬ duals wre perceive certain qualities the fame in all, whilft in each individual there are other qualities which have nothing fimilar to them in any other individual : new the mind, it is faid, has a power of abftrafting the particular qualities of each individual from thoje which are common to the whole, and of thefe laft forming a general idea of the whole clafs. Thus all men have nearly the fame form ; and they have each fome future and fome colour, though there are not perhaps two individuals who have precifehy the fame future and the fame colour. Nowq fay the advocates for general ideas, if we abfiraB what is peculiar to each individual, and retain what is common to the whole race, we have the general idea fignified by the word man. That is, if we conceive a being in human fliape, which is oifature and colour, but neither tall nor fhort, neither while nor black, nor red nor brown, nor any other colour which we ever fiaw, we have the general idea of humanity, and underftand the mean¬ ing of the word man ! Surely no perfbn who is not the flave of prejudice will pretend that he can frame fuch an idea as this—the idea of an objeft which cannot poffibly exift in nature. By this we do not mean to affirm, that we cannot frame ideas of fuch objefts as have no real exiftence ; for it is as eafy to imagine a man with ten heads as with one, becaufe there is nothing contradiftory between ten heads and one body. YtvX figure, which is faid to be fpace bounded neither by lines nor fuperfeies ; colour, which is nei¬ ther red wot white, nor blue nor black, &c. ; and animal, which is neither man, beajl, bird, nor infeB ; are im- poffible in nature, and inconceivable in idea. There is, however, no harm in ftill retaining the general idea, provided he who ules it takes care to let it be known, that by thefe words he means not any abfiraB and contradiBory idea, but merely a clafs of real objeBs. The phrafe may at times prevent much circumlocution • for yvhich reafon have retained the uie of it in the text. 3 Part I. L 0 Of through the inferior fpecies, we Hiall find its manner Perception. 0f proceeding to be always the fame. For every lower fpecies is formed by fuperadding fome new idea to the fpecies next above it $ infomuch that in this defend¬ ing fcale of our perceptions, the underfianding paffes through different orders of complex notions, which become more and more complicated at every ftep it takes. Let us refume here, for inftance, the Ipecies of plain figures. They imply no more than fpace bounded by lines. But if we take in an additional confideration of the nature of thefe lines, as whether they are right or curves, we fall into the fubdivifions of plain figure, di- itinguifhed by the names of reEiilinear, curvilinear, and 2I mixtihnear. And in all VII. And here we are to obferve, that though the inferior pla-jn figures, when confidered as one of thofe branches come under the notions of figure in general, take ding the the name of a fpecies j yet compared with the claffes ipecific dif- of curvilinear, rectilinear, and mixtilinear, into which ference to they tbemfelves may be divided, they really become a gcnus> which the beforementioned fubdivifions genii.. conftitute the feveral fpecies. Thefe fpecies, in the fame manner as in the cafe of plane and folid figures, confift of the genus and fpecific difference as their conftituent parts. For in the curvilinear kind, the curvity of the lines bounding the figure makes what is tailed thefpecific difference; to which if we join the genus, which here is a plain figure or fpace circum- fcribed by lines, we have all that is neceffary towards completing the notion of this fpecies. We are only to take notice, that this laft fubdivifion, having two genera above it, viz. plain figure, and figure in gene¬ ral •, the genus joined with the fpecific difference, in order to conftitute the fpecies of curvilinears, is that which lies neareft to the faid fpecies. It is the ho- tion of plain figure, and not of figure in general, that joined with the idea of curvity, makes up the complex conception of curve-lined figures. For in this de- fcending fcale of our ideas, figure in general, plain figures, curved-lined figures, the two firft are confider¬ ed as genera in relpeft of the third j and the fecond in order, or that which Hands next to tbe third, is called the nearejl genus. Rut now as it is this fecond idea, which, joined with the notion of curvity, forms the fpecies of curve-lined figures ; it is plain, that the third or laft idea in the feries is made up of the near¬ eft genus and fpecific difference. This rule holds in¬ variably, however far the feries is continued ; becaufe, in a train of ideas thus fucce^ding one another, all that precede the laff are confidered as fo many genera in refpeft of that laft j and the laft itfelf is always formed by fuperadding the fpecific difference to the genus next it. The idea of VIII. Here then we have an urtiverfal defcription, anyindivi- applicable to all our ideas of whatever kind, from the higheft genus to the loweft fpecies. For, taking them in order downwards from the faid general idea, they everywhere confift of the genus proxirnum, and dif¬ ferentia fpecifica, as logicians love to exprefs them- felves. But when we come to the low-eft fpecies of all, comprehending under it only individuals, the fu- peradded idea, by which thefe individuals are diftin- guiftied one from another, no longer takes the name of the fpecific difference. For here it ferves not to denote diftinfr fpecies, but merely a variety of indivi- Vol.XII. Part I. 157 Of G I G. duals, each of which, having a particular exiftence of its own, is therefore numerically different from every Perce tl0n; other of the fame kind. And hence it is, that in this laft cafe, logicians choofe to call the fuperadded idea by the name of the numerical difference; inl'omuch that, as the idea of a fpecies is made up of the neareft genus and fpecific difference, fo the idea of an indivi¬ dual confifts of the loweft fpecies and numeric differ¬ ence. Thus the circle is a fpecies of curve-lined fi¬ gures, and what wre call the lovoejl fpecies, as compre¬ hending under it only individuals. Circles in particu¬ lar are diftinguiftied from one another by the length and pofition of their diameters. The length therefore and pofition of the diameter of a circle form what logi¬ cians call the Jiumerical difference ; becaufe, theie being given, the circle itfelf may be defcribed, and an indivi¬ dual thereby conftituted. 23 IX. Thus the mind, in compounding its ideas, be- Definitions gins dual com- pofed of the loweft fpecies and numeric difference. wTe fee, with the moil general notions, which,t0 foliow f . c r i 0 • ri one another conlilting or but a few lirnple notices, are eahly com- ■ - , . . . .m tram bined and brought together into one conception. and pafs Thence it proceeds to the fpecies comprehended un-through tlie der this general idea j and theie are formed by joining 'ame mccef* together the genus and fpecific difference. And as it ^ ou'r often happens, that thefe fpecies may be flill farther comp0und fubdivided, aud run on in a long feries of continued ideasi gradations, producing various orders of compound perceptions; fo all thefe feveral orders are regularly and fucceflively formed by annexing in every itcp the fpecific difference to the neareft genus. When by this method of procedure we are come to the loweft: order of all, by joining the fpecies and numeric dif¬ ference, we frame the ideas of individuals. And here the feries neceffarily terminates, becaufe it is impof- fible any farther to bound or limit our conceptions. This view7 of the coflapofition of our ideas, reprefent- ing their conftituent parts in every ftep of the pro- greftion, naturally points out the true and genuine form of a definition. For as definitions are no more than deferiptions of the ideas for which the terms de¬ fined Hand ; and as ideas are then defcribed, when we enumerate diftin£lly and in order the parts of which they confift 5 it is plain, that by making our definitions follow7 one another according to the natural train of our conceptions, they will be fubjedl to the fame rules, and keep pace with the ideas they de- feribe. X. As therefore the firft order of our compound The rorm notions, or the ideas that conftitute the higheft ge- °fa defini- nera in the differeut feales of perception, are formed by t!on“1 al‘ # * ■»- * ^ 1/ the various uniting together a certain number of fimple notices j or(jers fo the terms exprefling thefe genera are defined % conception* enumerating the fun pie notices fo combined. And as the fpecies comprehended under any genus, or the com¬ plex ideas of the fecond order, arife from fuperadding the fpecific difference to the faid general idea; fo the definition of the names of the fpecies is abfolved, in a detail of the ideas of the fpecific difference, conne£ted with the term of the genus. For the genus having been before defined, the term by which it is expref- fed ftands for a known idea, and may therefore be introduced into all fubfequent definitions, in the fame manner as the names of fimple perceptions. It will now be fufficiently obvious, that the definitions of all the fucceeding orders of compound notions will every- S where I38 Of Judgemert. LOG where confirt of the teiin of the neareft genus, joined with an enumeration of the ideas that conftitute the fpecific difference ; and that the definition of indivi¬ duals unites the name of the loweft fpecies with the terms by which we exprefs the ideas of the numeric difference. I C. Part II. XL Here then we have the true and proper form Of of a definition, in all the various orders of conception. Judgement* This is that method of defining which is commonly called logical, and which we fee is perfect in its kind, in- afmuch as it prefents a full and adequate defcription of the idea for which the term defined hands. PART II. OF JUDGEMENT. Chap. I. Of the Grounds of Human Judgement. THE mind being fumifhed wfith ideas, its next flep reftjPV^way t0 know^e(ige is, the comparing thefe ideas Intuition between our ideas when they are imme- 26 Experience and tefti- mony the ground of judging as to fa&s. together, in order to judge of their agreement or dif- agreement. In this joint view of our ideas, if the re¬ lation is fuch as to be immediately difcoverable by the ^ , bare infpeflion of the mind, the judgements thence ob- ceiveabVer- tained are called intuitive, from a word that denotes to look at; for in this cafe, a mere attention to the ideas compared fuffices to let us fee nowr far they are con- nefted or disjoined. Thus, that the Whole is greater than any of its Parts, is an intuitive judgement j no¬ thing more being required to convince us of its truth, than an attention to the ideas of whole and [>art. And this too is the reafon why we call the adl of the mind forming thefe judgements zWttf/fo/z; as it is indeed no more than an immediate perception of the agreement or difagreement of any two ideas. II. But here it is to be obferved, that our know¬ ledge of this kind refpe&s only our ideas, and the re¬ lations between them; and therefore can ferve only as a foundation to fuch reafonings as are employed in invefiigating thofe relations. Now it fo happens, that many of our judgements are converfant about fadls, and and the real exiftence of things which cannot be tra¬ ced by the bare contemplation of our ideas. It does not follow7, becaufe I have the idea of a circle in my mind, that therefore a figure anfwering to that idea has a real exiftence in nature. I can form to myfelf the notion of a centaur or golden mountain, but never imagine on that account that either of them exifts. What then are the grounds of our judgement in rela¬ tion to faffs ? experience and tejlimony. By experience we are informed of the exiftence of the feveral ob- jeffs which furround us, and operate upon our fenfes. Teftimony is of a wider extent, and reaches not on¬ ly to objefts beyond the prefent fphere of our obfer- vation, but alfo to faffs and tranfaffions, which being now paft, and having no longer any exiftence, could not without this conveyance have fallen under our cog¬ nizance. III. Here-w7e have three foundations of human judgement, from which the whole fyftem of our know- ftXernent ^ec^§e may w^h eafe and advantage be derived. Firft, ‘Lv/^In-’ fruition, which refpefls our ideas themfelves, and tuition, the their relations } and is the foundation of that fpecies ground of of reafoning which we call demonf ration. For what- fcientifical ever,is deduced from our intuitive perceptions, by a ow c ge- clear and connefled feries of proofs, is faid to be demonftrated, and produces abfolute certainty in the mind. Hence the knowledge obtained in this man¬ ner is what Ve properly term fcience; becaufe in evefy ftep of the procedure it carries its own evidence along 27 Three foun¬ dations of human with it, and leaves no room for doubt or hefitation. And what is highly worthy of notice ; as the truths of this clafs exprefs the relations between our ideas, and the fame relations muft ever and invariably fubfiff between the fame ideas, our deduflions in the way of fcience conftitute what we call eternal, necefary, and immutable truths. If it be true that the whole is equal to all its parts, it muft be fo unchangeably ; becaufe the relation of equality being attached to the ideas themfelves, muft ever intervene where the fame ideas are compared. Of this nature all the truths of natu¬ ral religion, morality, and mathematics, and in general - whatever may be gathered from the bare view and con- fideration of our ideas. 2g IV. The fecond ground of human judgement is ew-2. Experx- perience; from which we infer the exiftence of thofe ence>the objedt? that furround us, and fall under the immediate grou,nd of notice of our fenfes. When we feen the fun, or call our eyes towards a building, we not only have per- the powers, ceptions of thefe objedfs within ourfelves, but afcribe ancl quali- to them a real exiftence out of the mind. It is alfo *,‘.es °* k°' by the information of the fenfes that we judge of thediei’ qualities of bodies ; as when we fay that fnow is white, fire hot, or fieel hard. For as we are wholly unac¬ quainted with the internal ftrudlure and conftitution of the bodies that produce thefe fenfations in us, nay, and are unable to trace any connexion between that ftruc- ture and the fenfations themfelves, it is evident, that we build our judgements altogether upon obfervation, afcribing to bodies fuch qualities as are anfwerable to the perceptions they excite in us. Not that we ever fuppofe the qualities of bodies to be things of the fame nature with our perceptions •, for there is nothing in fire fimilar to our fenfation of heat, or in a fword fimi- lar to pain : but that when different bodies excite in our minds fimilar perceptions, w7e neceffarily afcribe to thefe bodies not only an exiftence independent of us, but likewife fimilar qualities, of which it is the nature to produce fimilar perceptions in the human mind. But this is not the only advantage derived from experience 5 for to that too wTe are indebted for all ©ur knowledge regarding the co-exiftence of fen- fible qualities in objefts, and the operations of bodies one upon another. Ivory, for inftance, is hard and elaftic ; this we know by experience, and indeed by that alone. For, being altogether ftrangers to the true nature both of elafticity and hardnefs, we cannot by the bare contemplation of our ideas determine how far the one neceffarily implies the other, or whether there may not be a repugnance between them. But when we obferve them to exift both in the fame ob- jeft, we are then allured from experience that they are not incompatible ; and when we alfo find, that a ftone is hard and not elafticj and that air though ela- Part II. L 0 Of flic is not fcard, we alfo conclude upon the fame foun- Judgemmt- dation, that the ideas are not neceifarily conjoined, X"‘^r J but may exift feparately in different objedls. In like manner, with regard to the operations of bodies one upon another, it is evident, that our knowledge this way is all derived from obfervation. j4qud regia dif- folves gold, as has been found by frequent trial, nor is there any other wTay of arriving at the difeovery. Naturalifts may tell us, if they pleafe, that the parts of aqua regia are of a texture apt to infinuate between the corpufcles of gold, and thereby looien and lhake them afunder. If this is a true account of the matter, it will notwithftanding be allowed, that our conjefture in regard to the conformation of thefe bodies is de¬ duced from the experiment, and not the experiment from the conjedture. It was not from any previous knowledge of the intimate ftru&ure of aqua regia and gold, and the aptnefs of their parts to a£t or to be ail¬ ed upon, that we came by the conclufion above men¬ tioned. The internal conflitution of bodies is in a manner wholly unknown to us : and could we even furmount this difficulty, yet as the feparation of the parts of gold implies fomething like an ailive force in the menjlruum, and we are unable to conceive how it comes to be poffeffed of this aftivity, the effeil muft be owned to be altogether beyond our comprehenfion. But when repeated trials had once confirmed it, in- fomuch that it was admitted as an eftabliffied truth in natural knowledge, it was then eafy for men to fpin out theories of their own invention, and con¬ trive fuch a ftruilure of parts, both for gold and aqua regia, as would bed ferve to explain the phenomenon upon the principles of that fyftem of philofophy they had adopted. V. From what has been faid it is evident, that as intuition is the foundation of what we call fcientifical knowledge, fo is experience of natural. For this lail being wholly taken up with objects of fenfe, or thofe bodies that conflitute the natural world j and their properties, as far as we can difeover them, being to be traced only by a long and painful feries of obferva- tions 5 it is apparent, that, in order to improve this branch of knowledge, we muft betake ourfelves to the method of trial and experiment. VI. But though experience is what wTe may term the immediate foundation of natural knowledge, yet with refpeft to particular perfons its influence is very narrow and confined. The bodies that furround us are numerous, many of them lie at a great diftance, and fome quite beyond our reach. Life is fo ffiort, and fo crowded with cares, that but little time is left for any fingle man to employ himfelf in unfolding the my- fteries of nature. Hence it is neceftary to admit many things upon the teftimony of others, which by this means becomes the foundation of a great part of our knowledge of body. No man doubts of the power of aqua regia to diffolve gold, though perhaps he ne¬ ver himfelf made the experiment. In thefe therefore and fuch like cafes we judge of the fa£ls and opera- tic?ns of nature upon the mere ground of teftimony. However, as we can always have recourfe to expe¬ rience where any doubt or fcruple arifes, this is juftly confidered as the true foundation of natural philofo¬ phy $ being indeed the ultimate fupport upon which the r Judgement. G I C. 139 our affent refts, and wffiereto vve appeal when higheft degree of evidence is required. VII. But there are many fadts that will not allow of an appeal to the fenfes) and in this cale teftimony 3. Teftimo- is the true and only foundation of our judgme ts. n.G the ^ All human actions of whatever kind, when confidered as already paft, are of the nature here deferibed j be- iinowiedge» caufe having now no longer any exiftence, both the fadts therofelves, and the circumftances attending them, can be known only from the relations ot fuch as had fufficient opportunities of arriving at the truth. Fejli- mony therefore is juftly accounted a third ground of human judgement j and as from the other two we have deduced fcientifical and natural knowledge, fo we may from this derive liijlorical; by which we mean, not merely a knowledge of the civil tranfadlions of Hates and kingdoms, but of all fadls whatfoever, where tefti¬ mony is the ultimate foundation of our belief. 30 Chap. II. Of Affirmative and Negative Propofitions. I. While the comparing of our ideas is confidered The fub e51 merely as an adt of the mind, aflembling them toge- a ther, and joining or disjoining them according to the pr0p0fition. refult of its perceptions, we call it judgement; but when explained, our judgements are put into wTords, they then bear the name of propojitions. A propofition therefore is a fen- tence expreffing fome judgement of the mind, whereby two or more ideas are affirmed to agree or difagree. Now, as our judgements include at leaft twro ideas, one of which is affirmed or denied of the other, fo muft a propofition have terms anfwering to thefe ideas. The idea of which vve affirm or deny, and of courfe the term expreffing that idea, is called the fubjeB of fhe propofition. The idea affirmed or denied, as alfo the term anfwering it, is called the predicate. Ihus in the propofition, God is omnipotent: God is the fubjeft, it being of him that w7e affirm omnipotence j and om¬ nipotent is the predicate, becaufe we affirm the idea ex- preffed by that word to belong to God. 3r II. But as, in propofitions, ideas are either joined ^he^°Pu' or disjoined j it is not enough to have terms exprei- ’ fing thofe ideas, unlefs we have alfo fome words to denote their agreement or difagreement. 1 hat word in a propofition, which connetls two ideas together, is called the copula ; and if a negative particle be an¬ nexed, we thereby underftand that the ideas are dif- joined. The fubjlantive verb is commonly made ufe of for the copula : as in the above mentioned propofi¬ tion, God is omnipotent; where is reprefents the co¬ pula, and fignifies the agreement of the ideas of God and omnipotence. But if we mean to feparate two ideas •, then, befides the fubftantive verb, we muft alfo ufe fome particle of negation, to exprefs this repug¬ nance. The propofition, man is not perfeB, may ferve as an example of this kind j where the notion of per- feBion being removed from the idea of man, the ne¬ gative particle not is inferted after the copula, to fig- nify the difagreement between the fubjeft and predi¬ cate. ^ III. Every propofition necefiarily confifts of three parts j but then it is not alike needful that they times ex- be all feverally expreffed in words*, becaufe the copula prefled by is often included in the term of the predicate, as when a ^inS^e ■S 2 wewor as is not yet agreed among logicians to headof1C which of the two claffes mentioned above they ought particulars, to be referred j namely, fngular propofitions, or thofe where the fubjed is an individual. Of this nature are the following : Sir Ifaac Newton was the inventor of fluxions ; This book contains many ufeful truths. What occalions ibme difficulty as to the proper rank of thefe propofitions is, that, the fubjed being taken according to the whole of its extenfion, they fometimes have the fame effed in reafoning as univerfals. But T it be confidered that they are in truth the moH limited kind of particular propofitions, and that no propofition - can with any propriety be called univerfal but where the fubjed is fome univerfal idea j we fiiall not be long in determining to which clafs they ought to be refer¬ red. When we fay, Some boohs contain ufeful truths; the propofition is particular, becaufe the general term appears with a mark of reftridion. If therefore we fay, This book contains ufeful truths ; it is evident that the propofition mufi be Hill more particular, as the li¬ mitation implied in the word this, is of a more confin¬ ed nature than in the former cafe. 39 V. We fee, therefore, that all propofitions are either folddivi- affirmative or negative; nor is it lefs evident, that in fionofpro- both cafes they may be umverfal ox particular. Hence LOGIC. petitions. .4° . XKftindion different circumdances. colour, and great weight, arifes that celebrated fourfold divifion of them into univerfal affirmative and univerfal negative, particu¬ lar affirmative and particular negative, which compre¬ hends indeed all their varieties. The ufe of this method of diHinguithing them will appear more fully afterwards, when we come to treat of reafoning and fyllogifm. Chap. IV. Of Abfolute and Conditional Propofltions. I. The objeds about which we are chiefly conver- ofTTdkies ^ant 'n wor^> are a^ a nature Imble to change. intoTlfen-3 What may be affirmed of them at one time, cannot tial and ac-often at another*, and it makes no fmall part of our cidental. knowledge to diHinguiffi rightly thefe variations, and trace the reafons upon wffiich they depend. For it is obfervable, that amidft all the viciflitudes of nature, fome things remain conHant and invariable *, nor even -are the changes, to which we fee others liable, effed- cd but in confequence of uniform and Heady laws, *41 which, when known, are fufficient to dired us in our judgements about them. Hence philofophers, in di- ftinguifhing the objeds of our perception into various claffes, have been very careful to note, that fome properties belong effentially to the general idea, fo as not to be feparable from it but by deHroying its very nature j while others are only accidental, and may be affirmed or denied of it in Thus folidity, a yellow col confidered as effential qualities of gold : but whether it {hall exiff as an uniform conjoined mafs, is not alike neceffary. We fee that by a proper raenfiruum it may be reduced to a fine powder, and that an intenfe heat will bring it into a Hate of fufion. 41 II. From this diverfity in the feveral qualities offence a things arifes a confiderable difference as to the man- diver- ner of our judging about them. For all fuch proper-plty jn our ties as are infeparable from objeds when confidered manner af as belonging to any genus or fpecies, are affirmed ab-jndging. folutely and without referve of that general idea. Thus we fay, Gold is very weightij ; AJlone is hard; Animals have a power of felf-motwn. But in the cafe- of mutual or accidental qualities, as they depend up¬ on fome other confideration difiind from the general idea \ that alfo muff be taken into the account, in or¬ der to form an accurate judgement. Should we affirm, for inflance, of fome Hones, that they are very fuf- ceptible of a rolling motion 5 the propofition, while it remains in 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 judgement 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 qonfideration, and the propo¬ fition will run as follows : Stones of a fpherical form are eaflly 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 applied. _ _ r42 III. This confideration of propofitions refpeding the Which manner in which the predicate is affirmed of the fub-gwesnfe jedt gives rife to the divifion of them into abfolute an(i conditional. Abfolute propofitions are thofe wherein pofitions ;n_ we affirm fome property infeparable from the idea of to abfolute the fubjedf, and which therefore belongs to it in all and condi- poffible cafes : as, God is infinitely wife ; Virtue tends^-10^' to the ultimate happinefs of man. But where the predi¬ cate is not neceffarily connedfed with the idea of the fubjed!, unlefs upon fome confideration diflindl 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 fone is expofed to the rays of the fun, it will covtraB Jome degree of heat ; If a river runs in a very declining channel, its rapidity will confantly increafe. IV. There is not any thing of greater importance'rlie great in philofophy than a due attention to this divifion ofunportance propofitions. If we are careful never to affirm things abfolutely but where the ideas are infeparably con-ren(jers joined; and if in our other judgements wTe difiindllypr0pofi- mark the conditions which determine the predicate to tions deter- belong to the fubjedt ; we Hi a 11 be the lefs liable tommate* mi Hake 142 of miftatce in applying general truths to the particular Judgement. concerns Df human life. It is owing to the exadt ob- ' v fervance of this rule that mathematicians have been fo happy in their difcoveries, and that what they demon- Itrate of magnitude in general may be applied with eafe in all obvious occurrences. And^redu- The truth of it is, particular propofitions are ces them then known to be true, when we can trace their con- from par- nexion with univerfals j and it is accordingly the great ticulars to bufinefs of fcience to find out general truths that may genera >. ^ app]je(j ^th fafety in all obvious initances. Now the great advantage arifing from determining with 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 flandards to condudt and regulate our judge¬ ments. To illuftrate this by a familiar inftance : if we fay, Some water aBs very forcibly ; the propofition is particular : and as the conditions on which this for¬ cible adlion depends are not mentioned, it is as yet un¬ certain in what cafes it may be applied. Let us then fupply thefe conditions, and the propofition will run thus: Water conveyed in fujfcient quantity along a feep defcent aBs very forcibly. Here we have an univerfal judgement, inafmuch as the predicate forcible aBion may be afcribed to all water under the circumftances mentioned. Nor is it lefs evident that the propofition in this new form is of eafy application •, and in faff we find that men do apply it in inftances where the forci¬ ble adlion of water is required j as in corn-mills and many other works of art. Chap. V. Of Simple and Compound Propof lions. .45 Dmfion ot Hitherto we have treated of propofitions, where tions into onty two ideas are compared together. Thefe are in Ample and the general called fimple; becaufe, having but one fub- eompound. je£t and one predicate, they are the eflfedt of a fimple judgement 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 objefts, or different things of the fame objeft $ the propofitions expreffing thefe judgements are called compound: becaufe they may be refolved into as many others as there are fubjedts or predicates in the whole complex determination on the mind. Thus, God is infinitely wife and infinitely power¬ ful. Here there are two predicates, infinite wifdom and infinite power, both affirmed of the fame fubjedt; and accordingly -the propofition may be rcfolved into two others j affirming thefe predicates feverally. In like manner in the propofition, Neither kings nor people are exempt from death ; the predicate is denied of both fub- jedts, and may therefore be feparated from them in di- ftindt propofitions. Nor is it lefs evident, that if a com¬ plex judgement confiils of feveral fubjedts and predi¬ cates, it may be refolved into as many fimple propofi¬ tions as are the number of different ideas compared together. Riches and honours are apt to elate the mind, and increafe the number of our defires. In this judge¬ ment there are two fubjedts and two predicates, and it is at the fame time apparent that it may be refolved into four diltindt propofitions. Riches are apt to elate Part II. the mind. Riches art apt to increafe the number of our Of defires. And fo of honours. N Judgement. II. Logicians have divided thefe compound propo- ' v——1 fitions into a great many different claffes; but, in our The proper opinion, not with a due regard to their proper defi-notion of a nition. Thus conditionals, caufals, relatives, &c. arecomPound mentioned as fo many diftindt fpecies of this kind,*5™130^10” though in fadt they are no more than fimple propo-1 ^''ltame ’ fitions. To give an inftance of a conditional j If a fione is expofed to the rays of the fun, it will contraB fame degree of heat. Here we have but one fubjedt and one predicate; for the complex expreffion, A fione expofed to the rays of the fun, conftitutes the pro¬ per fubjedt of this propolition, and is no more than one determined idea. 1 he fame thing happens in caufals. Rehoboam was unhappy becaufe he followed evil counfel There is here an appearance of two propo¬ fitions arifing from the complexity of the expreffion j but when u’e come to confider the matter more near¬ ly, it is evident that we have but a fingle iubjedt and predicate. The purfuit of evil counfel brought mifery upon Rehoboam. It is not enough, therefore, to render a propofition compound, that the fubjedt and predicate are complex notions, requiring fometimes a whole len¬ ience to exprefs them : for in this cafe the comparifon is ftill confined to two ideas, and conftitutes what we call a fimple judgement. But where there are feveral fubjedts or predicates, or both, as the affirmation or negation may be alike extended to them all, the propo¬ fition expreffing fuch a judgement is truly a collediion of as many fimple ones as there are different ideas com¬ pared. Confining ourfelves therefore to this more ftridt and juft notion of compound propofitions, they are all reducible to two kinds, viz. copulatives and dif- jun&ives. ^ III. A. copulative propofition is, where the fubjedts Compound and predicates are fo linked together, that they may propofm- be all feverally affirmed or denied one of another. O^co^uktivT this nature are the examples of compound propofitions ^ ’ given above. Riches and honours are apt to elate the 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 diitindt propofitions. The other furniffies 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 or disjunc- thofe called disjundtives j in wffiicb, comparing feveral 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 example, fays, This world either exifis of if elf, or is the work of fome all-wife and powerful caufe, it is evident that one of the two predicates muft belong to the worldq but as the propofition determines not which, it is therefore of the kind we call dijunBive. Such too are the fol¬ lowing : The fun either moves round the earth, or is the centre about which the earth revolves. Friendfhip finds men equal, or makes them fo. It is the nature of all pro¬ pofitions of this clafs, fuppofing them to be exadl in point of form, that upon determining the particular predicate, the j;eft: are of courfe to be removed : or if all LOGIC. LOGIC. Part II. Of all the predicates but one are removed, that one necef- Judgement. fari]y takes place. Thus, in the example given above j ' if we allow the world to be the work of feme wife and powerful caufe, we of courfe deny it to be felf-exift- ent; or if we deny it to be felf-exiftent, we muft ne- ceflarily admit that it was produced by fome wife and , powerful caufe. Now this particular manner of link¬ ing the predicates together, fo that the eftablifhing one difplaces all the reft j or the excluding all but one neceffarily eftablifhes that one *, cannot otherwife be effected than by means of disjunctive particles. And hence it is that propofitions of this clafs take their names from thefe particles which make fo neceffary a part of them, and indeed conftitute their very nature confidered as a diftindt fpecies. Chap. VI. Of the Divifion of Propoftions into Self-evi¬ dent and Demonf table. Pro .oiki any propofition is offered to the view of onsdivided the mind, if the terms in which it is expreffed be into felf- underftood } upon comparing the ideas together, the evident and agreement or difagreement afferted is either immedi- dt monftra- aj.e]y perceived, or found to lie beyond the prefent reach of the underftanding. In the firft cafe the pro- polition is faid to be felf-evident, and admits not of any proof, becaufe a bare attention to the ideas them- felves produces full convidlion and certainty ; nor is it poffible to call in any thing more evident by way of confirmation. But where the connexion or repug¬ nance comes not fo readily under the infpedlion of the mind, there we muft have recourfe to reafoning j and if by a clear feries of proofs we can make out the truth propofed, infomuch that felf-evidence (hall 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 demonf table. When we affirm, for inftance, that it is impojfible 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 impoflible 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 Ihines 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 funpofition. Hence this propofition is of tne kind we call demonf table, 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. 50 II. From what has been faid, it appears, that reafon- Self-evi- ing Js employed only about demonftrable propofitions, and that our intuitive and felf-evident perceptions are principles the ultimate foundation on which it .refts. ofreafon- III. Self-evident propofitions furniffr the firft prin¬ ts- ciples of reafoning ) and it is certain, that if in our refearches we employ only fuch principles as have this charadfer of felf-evidence, and apply them accord-jUI Sc^men * ing to the rules to be afterwards explained, we {ball 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 conduc¬ ed by the exprefs model here mentioned, are an incon- tellable proof of the • firmnefs and liability of human knowffedge, when built upon fo fure a foundation. For not only have the propofitions of this fcience flood the tell of ages 5 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 eilablilhed. Since the mathematicians are univerfally allowed to have hit upon the right method of arriving at unknown truths, lince 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 Hating felf-evi¬ dent propofitions, and applying them to the purpofes of demonftration. 51 IV. Firft then it is to be obferved, that they have Definitions been very careful in afcertaining their ideas, and fix-f&reat ing the fignification of their terms. For this purpofe they begin with definitions, in which the meaning ofancievi_ their wrords is fo diftinftly 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 w'ords ideas dif¬ ferent from thofe that were in the mind of him wffio firft advanced the demonftration ; it is evident that as the fame ideas are not compared, the fame relation cannot fubfift, infomuch that a propofition will be re- jedled as falfe, wffiich, had the terms been rightly un¬ derftood, mull 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 equality of the fides : and many properties demonftrated of the fquare How entirely from its being a reclangular figure. If therefore we fuppofe a man, who has formed a partial notion of a fquare, compre¬ hending 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 re- je6l it as not univerfally 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 pro¬ perty affigned to it in the propofition. But if he comes afterwards to corredl his notion, and render his idea complete, he will then readily own the truth and 52 juftnefs of the demonftration. ticians'^by V. We fee, therefore, that nothing contributes fo beginning much to the improvement and certainty of human with them knowledge, as the having determinate ideas, andPro for inftance, we compare two figures of a de¬ lations dif- ferent make, in order to judge of their equality or in- covered by equality, it is plain, that by barely confidering the fi- means of gures themfelves, we cannot arrive at an exadl deter- diatehieas. m>nat;on j becaufe, by reafon of their difagreeing forms, ’ it is impofiible fo to put them together, as that their feveral parts {hall mutually coincide. Here then it be¬ comes neceffary to look out for fome third idea that wull admit of fuch an application as the prefent cafe requires ; wherein if we fucceed, all difficulties vanifli, and the relation we are in quell of may be traced, with eafe. Thus, right-lined figures are all reduced to fquares, by means of which we can meafure their areas, and determine exadlly their agreement or difagreement in point of magnitude. II. But how can any third idea ferve to difcover a - relation between two others ? The anfwer is, By be¬ ing compared feverally with thefe others ; for fuch a ed'rea1611”" comPar^on enables us to fee how far the ideas with which this third is compared are conne&ed or disjoin¬ ed between themfelves. In the example mentioned above of two right-lined figures, if we compare each of them with fome fquare whofe area is known, and find the one exaflly equal to it, and the other lefs by a fquare inch, we immediately conclude that the area of the firft figure is a fquare inch greater than that of the fecond. This manner of determining the relation be¬ tween any two ideas, by the intervention of fome third with which they may be compared, is that which we call reafoning; and is indeed the chief inftrument by which we pufli on our difcoveries, and enlarge our knowledge. The great art lies in finding out fuch in¬ termediate ideas, as when compared with the others in the queftion, will furnifh evident and known truths j becaufe, as will afterwards appear, it is only by means of them that w?e arrive at the knowledge of wffiat is hidden and remote. III. Hence it appears, that every acl of reafoning that confti- neceffarily includes three diftindl judgements ; two tutc an act wherein the ideas whofe relation wTe want to diicover are feverally compared with the middle idea, and a third wherein they are themfelves connected or disjoin¬ ed, according to the refult of that companion. Now, as in the fecond part of logic, our judgements, when put into words, w7ere called propofitions, fo here in the third part the expreffions of our reafonings are termed fijllogifms. And hence it follows, that as every aft of reafoning implies three feveral judgements, fo every fyl- loglfm muft include three diftinft propofitions. When a icafoning is thus put into words, and appears in form of a fyllogifm, the intermediate idea made ufe of, to dfifeover the agreement or difagreement we fearch for, VpL. XII. Part I. 61 "The parts of reafon ing and a fyflogifm. is called the middle term ; and the two ideas themfelves with which this third is compared, go by the name of the extremes. 6z VI. But as thefe things are bed illuftrated by ex-rndanc^. amples $ let us, for inftance, fet ourfelves to inquire whether men are accountable for their adiions. As the abienefi. relation between the ideas of tnan and accountablenefs, comes not within the immediate view of the mind, our firft care muft be to fifid out fome third idea that will enable us the more eafily to difcover and trace it. A very fmall meafure of refleftion is fufficient to in¬ form us, that no creature can be accountable for his aftions, unlefs we fuppofe him capable of diftinguifti- ing the good from the bad •, that is, unlefs wre fuppofe him poffeffed of reafon. Nor is this alone fufficient. For what would it avail him to know good from bad aftions, if he had no freedom of choice, nor could avoid the one and purfue the other ? hence it becomes neceffary to take in both confiderations in the prefent cafe. It is at the fame time equally apparent, that wherever there is ability of diftinguiffiing good from bad aftions, and of purfuing the one and avoiding the other, there alfo a creature is accountable. We have then got a third idea, with which accountablenefs is infeparably connefted, viz. reafon and liberty which are here to be confidered as making up one complex conception. Let us now take this middle idea, and compare it with the other term in the queftion, viz. man, and we all know by experience that it may be affirmed of him. Having thus by means of the inter¬ mediate idea formed two feveral judgements, viz. that man is poffeffed of reafon and liberty ; and that reafon and liberty imply acc&untablenefs ; a third obvioufly and neceflarily follows, viz. that man is accountable for his aBions. Here then we have a complete aft of reafon,- ing, in which, according to what has been already ob- ferved, there are three diftinft judgements: two thaf! may be ftyled previous, inafmuch as they lead to the other, and arife from comparing the middle idea with the two ideas in the queftion : the third is a confe- quence of thefe previous afts, and flows from combin¬ ing the extreme ideas between themfelves. If now we put this reafoning into words, it exhibits what logi¬ cians term a fyllogifm j and, when propofed in due form, runs thus : “ Every creature poffeffed of reafon and liberty is “ accountable for his aftions. “ Man is a creature poffeffed of reafon and liberty : “ Therefore man is accountable for his aftions.” V. In this fyllogifm we may obferve, that there are Premifes, three feveral p'ropofitions expreffing the three judge-c0nclull0n- ments implied in the aft of reafoning 5 and fo difpo{ed,^J^es’ as to reprefent diftinftly what paffes within the mind in term, tracing the more diftant relations of its ideas. The two firft propofitions anfwer the two previous judgements in reafoning, and are called the premifes, becaufe they are placed before the other. The third is termed the conclufon, as being gained in confequence of what was afferted in the premifes. We are alfo to remember, 1' that 346 LOGIC* Part III. Of that the terms exprefling the two ideas whole rela- Reafonmg. tjons we inquire alter, as here man and accountab/e- p.efs, are in general called the extremes ; and that the in¬ termediate idea, by means of which the relation is tra¬ ced, viz. a creature pojjejfed of recfon and liberty, takes the name of the middle term. Hence it follows, that by the premifes of a fyllogifm we are always to underftand the two propofitions where the middle term is feverally compared with the extremes; for thefe conllitute the previous judgements, whence the truth we are in queft of is by reafoning deduced. conclufion is that other propofition, in which the extremes themfelves are joined or feparated agreeably to what appears upon the above comparifon. Major and VI. The conclufion is made up of the extreme terms minor term,of the fyllogifm : and the extreme, which ferves as the major and predicate of the conclufion, goes by the name of the pofition.10" TnaJor term '• the other extreme, which makes the fub- je6l in the fame propofition, is called the minor term. From this diftindHon of the extremes arifes alfo a di- rtin&ion between the premifes, where thefe extremes are feverally compared with the middle term. That propofition which compares the greater extreme, or the predicate of the conclufion, with the middle term, is called the major propoftion : the other, wherein the fame middle term is compared with the fubjedl of the conclufion or Idler extreme, is called the minor propof¬ tion. All this is obvious from the fyllogifm already given, where the conclufion is, Man is accountable for his actions. For here the predicate accountable for his adlions being connedled with the middle term in the firft of the two premifes, every creature pojfeffed of rea- fon and liberty is accountable for his aft ions, gives what we call the major propoftion. In the fecond of the premifes, man is a creature pofejfed of reafon and liberty, we find the leffer extreme, or fubjedl of the conclu¬ fion, viz. man, connedfed with the fame middle term, whence it is knowm to be the minor propofition. When a fyllogifm is propofed in due form, the major propo¬ fition is always placed firft, the minor next, and the conclufion laft. In a fingle VII. Thefe things premifed, we may in the gene- ad: of rea- ral define reafoning to be an adl or operation of the ionmg the m;n(^ deducing fome unknown propofition. from other muft be in- previous ones that are evident and known. Thefe tuitive previous propofitions, in a fimple adl of reafoning, are truths. only two in number 5 and it is always required that they be of themfelves apparent to the underftanding, infomuch that vve affent 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 j otherwife the conclufion could not be inferred by a fihgle adl of reafoning. If, for inflance, in the major, every creature pojfeffed of reafon and liberty is ac¬ countable for his aflions, the connexion between the fubjedl and predicate could not be perceived by a bare attention to the ideas themfelves j 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 muft be fought for, to trace the connexion here fuppofed $ and this of courfe furnilhes another fyllo¬ gifm, by which having eftabliftied the propofition in queftion, wre are then, and not before, at liberty to life it in any fucceeding train of reafoning. And fhould it fo happen, that in this fecond eflay there was ftill fome previous propofition whofe truth did not ap- Of pear at firft fight, we muft then have recourfe to a ^eafonlng. third fyllogifm, in order to lay open that truth to the ' J mind : becauie fo long as the premifes remain uncer¬ tain, the conclufion built upon them mull be fo too. When, by condudling our thoughts in this manner, we at laft arrive at fome fyllogifm where the previous propofitions are intuitive truths j the mind then refts in full fecurity, as perceiving that the feveral conclufions it has pafied through ftand upon the immoveable founda¬ tion of felf-evidence, and when traced to their fource ter¬ minate in it. gtf VIII. We fee, therefore, that in order to infer aReafoiaingy conclufion by a fingle adl of reafoning, the premifesm ^ muft be intuitive propofitions. Where they are not, previous fyllogifms are required •, in which cafe rea- concatena- foning becomes a complicated adl, taking in a variety tion of fyL of fucceflive fteps. This frequently happens in tra-loSifi:ns* 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 confider- ably removed from felf-evidence j yet if we trace the reafoning backwards, we {hall find them the conclufions 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 j and obferve how the mind, fetting out with intuitive perceptions, couples them together to form a concluuon : how, by introducing this con¬ clufion into another fyllogifm, it ftill advances one ftep farther j and fo proceeds, making every new dif- covery fubfervient to its future progrefs j wre (hall then perceive clearly, that reafoning, in the higheft fenfe of that faculty, is no more than an orderly com¬ bination of thofe fimple adls which we have already fo fully explained. ^ IX. Thus we fee, that reafoning, beginning with Requires firft principles, rifes gradually from one judgement to intuitive another, and conne6ls them in fuch manner, that every certai,^Yia* ftage of the progreflion brings intuitive certainty along with it. And now at length wre may clearly under-greflion. ftand the definition given above of this diftinguifhing 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 judgements on which the conclufion refts, unlefs it is itfelf a known and efta- blilhed truth, whofe connexion with felf-evident prin¬ ciples has been already traced. Chap. II. Of the feveral hinds of Reafoning : and frf, of that by which we determine the Genera and Species of Things. I. All the aims of human reafon may in the general be reduced to thefe two: 1. To rank things under twofold, thofe univerfal ideas to which they truly belong j and, 2. To aferibe to them their feveral attributes and pro¬ perties in confe^uence of that diftribution. IT One PartHI. . L ° Of r II. One great aim of human reafonw to determine Reafoning. the genera and fpecies of things. We have feen in the Firft Part of this treatife, how the mind proceeds Tt/ff* in framing general ideas *. We have alfo ften in the iw”. Second Part, how by means of thefe general tdeas we gards the Come by univerfal propolitions. Now as m thele um- genera and verfai propofitions we affirm fome property of a ge- fpecies of ^ or f cies> it is plain that we cannot apply this * 'sic Foot property to particular objefts till we^have firft deter- note, $■ 13^ " 70 The fteps by which we arrive at conclu- iions of this £ort. 71 Thofe fteps always followed, though in familiar cafes-we do not always attend to them. 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 we have firft difcovered it to be of the fpecies expreffed by that natural name. _ Hence reafoning begins with referring things to their feve- ral divifions and claffes in the fcale of our ideas j and as thefe divifions are all diftinguiffied by particular names, we hereby learn to apply the terms expreffing general conceptions to fuch particular objects as come under our immediate obfervation. III. Now, in order to arrive at thefe conclufions, by which the feveral objefts of perception are brought un¬ der general names, two things are manifeftly n5<^eJ" fary. Firft, That we take a view of the idea itfelt denoted by that general name, and carefully attend to the diftinguiffiing marks which ferve to charaftenze it. Secondly, That we compare this idea with the objecT 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 neceifanly take a contrary turn. Let us, for inftance, take the number eight, and confider by what fteps we are led to pronounce it an even number. Firft then, we call to mind the idea fignified by the expreffion 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 neceffity of admitting the conclufion. Thefe feveral judgements 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 ‘j “ Therefore the number eight is an even number. IV. Here it may be obferved, that where the ge¬ neral idea, to which particular objefts are referred, is very familiar to the mind, and frequently in view 5 this reference, and the application of the general name, feem to be made without any apparatus of rea¬ foning. When we fee a horfe in the fields, a dog in the ftreet, we readily apply the name of the fpe¬ cies •, habit, and a familiar acquaintance with the ge¬ neral idea, fuggefbng it irtftantaneoufly to the mind. We are not however to imagine on this account that the undemanding departs from the ufual rules of juft thinking. A frequent repetition of a6ts 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 accompliffied. But in other inftances, where GIG. H7 we judge not by precontraaed habits, as when the general idea is very complex, or lefs familiar to the . ^ » mind, we always proceed according to the form of reafoning eftabliffied above. A goldimith, for inftance, who is in doubt as to any piece of metal, whether it be of the fpecies called gold, firft examines its proper¬ ties, and then comparing them with the general idea fignified by that name, if he finds a perfeft correfpond- ence, no longer hefitates under what clafs of metals to rank it. -n, 1. V. Nor let it be imagined that our refearches here, becaufe in appearance bounded to the impofing of neral names upon particular obje£ts, are therefore tri- kranch 0f vial and of little confequence. Some of the moft con-reafoning; fiderable debates among mankind, and fuch too as nearly regard their lives, intereft, and happinefs, turn wholly upon this article. Is it not the chief employ¬ ment of our feveral courts of judicature to determine in particular inftances, what is law, juftice, and equity ? Of what importance is it in many cafes to decide a- right whether an aflion fhall be termed murder or manjlaughter ? We fee then that no lefs than the. lives and fortunes of men depend often upon thefe decilions. The reafon is plain. A£tions, when once referred to a general idea, draw after them all that fnay be af¬ firmed of that idea j infomuch that the determining the fpecies of actions is all one with determining what proportion of praife or difpraife, commendation 01 blame, &c. ought to follow them. For as it is allow'- ed that murder deferves death ; by bringing any par¬ ticular aftion under the head of murder, we of courie decide the puniffiment due to it. 73 tilt. ^ - - • » VI. But the great importance of this branch of rea- ^‘he^ex- foning, and the neceffity of care and c*5cum^Pe^°u Vance of it in referring particular obje£ts to general ideas, is ftdl pradlifed by farther evident from the pradlice of the matherm-ti- mathemati¬ cians. Every one who has read Euclid, knows, tha.tc^ans' he frequently requires us to draw lines through certain points, and according to fuch and fuch directions. The figures thence refulting are often fquares, paral¬ lelograms, or redtangles. Yet Euclid never fuppou;s this from their bare appearance, but always demon- ftrates it upon the ftridteft principles of geometiy. Nor is the method he takes in any thing different fiom that defcribed above. Thus, for inftance, having de¬ fined a fquare to be a figure bounded by four equal fides joined together at right angles •, when fuch a fi¬ gure arifes in any conftrudtion previous to the demon- ftration of a propofition, yet he never calls it by tnat name until he has iliown that its fides are equal, and all its angles right ones. Now this is apparently the fame form of reafoning we have before exhibited in proving eight to be an even number. 74 VII. Having thus explained the rules by which we Fixed and are to conduff ourfelves in ranking particular o.bjefts under general ideas, and ffiown their conformity a fteaciy ap- the praftice and manner of the mathematicians : it re-piicati0n of mains only to obferve, that the true way of render- name.% ren- ing this part of knowledge both eafy and. certain is, ^1S by habituating ourfelves to clear and determinate knowledge and keeping them fteadily annexed to their refpecHve both eafy. names. For as all our aim is to apply general words and certain, aright, if thefe words Hand for invariable ideas that are perfefllv known to the mind, ana can be readily diftiuguilhed upon occafion, there will be little danger T 3 of 148 LOG Of of miftake or error in our reafonings. Let us fuppofe Realonmg. examining any obje£l, and carrying our at- " teiation fucceiTively from one part to another, we have acquainted ourfelves with the feveral particulars ob- fervable in it. If among thefe we find fuch as confti- tute fome general idea, framed and fettled before¬ hand by the underftanding, and difiinguifhed by a par¬ ticular name, the refemblance thus known and perceiv¬ ed neceffarily determines the fpecies of the objeft, and thereby gives it a right to the name by which , that fpecies is called. Thus four equal fides, joined together at right angles, make up the notion of a fquare. As this is a fixed and invariable idea, with¬ out which the general name cannot be applied 5 we ne¬ ver call any particular figure a fquare until it appears to have thefe feveral conditions j and contrarily, wherever a figure is found with thefe conditions, it neceffarily takes the name of a fquare. The fame will be found to hold in all our other reafonings of this kind, where nothing can create any difficulty but the want of fettled ideas. If, for infiance, we have not determined within ourfelves the precife notion denot¬ ed by the wrord manflaughter, it will be impoffible for us to decide wfficther any particular aftion ought to bear that name : becaufe, however nicely wTe examine the aflion itfelf, yet, being ftrangers to the general idea wuth wffiich it is to be compared, wTe are utterly unable to judge of their agreement or difagreement. But if wTe take care to remove this obftacle, and di- ftinflly trace the two ideas under confideration, all difficulties vaniffi, and the refolution becomes both eafy and certain. VIII. Thus we fee of what importance it is towards the improvement and certainty of human knowledge, that we accuftom ourfelves to clear and determinate ideas, and a fteady application of words. Chap. III. Of Reafoning, as it regards the powers and Properties of Things, and the Relations of our general Ideas. 75 Thediftinc- I. We now come to the fecond great end which tionofrea- men have in view in their reafonings •, namely, the re^mls the” ^‘^cover’ng an'-l afcribing to thing-s their feveral attri- fciences ^ ^utes an^ properties. And here it will be necefiary and as it to diilinguifii between reafoning, as it regards the concerns fciences, and as it concerns common life. In the fci- common ences, our reafon is employed chiefly about univerfal truths, it being by them alone that the bounds of hu¬ man knowledge are enlarged. Hence the divifion of things into various claffes, called otherwife genera and fpecies. For thefe univerfal ideas being fet up as the reprefentatives of many particular things, whatever is affirmed of them may be alfo affirmed of all the in¬ dividuals to which they belong. Murder, for inftance, is a general idea, reprefenting a certain fpecies of hu¬ man a£lions. Reafon tells us that the puniffiment due to it is death. Hence every particular adlion, coming under the notion of murder, has the puniihment of death allotted to it. Here then ive apply the general truth to fome obvious inftance ; and this is what pro¬ perly conftitutes the reafoning of common life. For men, in their ordinary tranfaflions and intercourfe one with another, have, for the moft part, to do on¬ ly with particular objefls. Our friends and relations, 1 c. Pan 11 r. their characters and behaviour, the confiitution of the Of feveral bodies that furround us, and the ufes to wffiich ^ea^on^ng‘ they may be applied, are what chiefly engage our at- v f tention. In all thefe, wre reafon about particular things j and the whole refult of our reafoning is, the applying the general truths of the fciences in the or¬ dinary tranfadions of human life. When we fee a viper, we avoid it. Wherever we have occafion for the forcible aCtion of w-ater to move a body that makes confiderable refifiance, w’e take care to convey it in fuch a manner that it flrall fall upon the objeCl with impetuofity. Now all this happens in confequence of our familiar and ready application of thefe two gene¬ ral truths. The bite of a viper is mortal. Water falling upon a body with impetuofty, alls very forcibly towards fetting it in motion. In like manner, if we fet ourfelves to confider any particular charafter, in order to deter¬ mine the (hare of praife or difpraife that belongs to it, our great concern is to afcertain exaclly the propor¬ tion of virtue and vice. The reafon is obvious. A juft determination, in all cafes of this kind, depends entirely upon an application of thefe general maxims of morality : Virtuous actions deferve praife ; vicious ac¬ tions deferve blame. ^5 II. Hence it appears that reafoning, as it regards The fteps common life, is no more than the afcribing the ge-fy’ which neral properties of things to thofe feveral objefts with^j^0^5* which we are more immediately concerned according fonino-0f " as they are found to be of that particular divilion or common clafs to which the properties belong. The fteps thenlife* by which we proceed are manifeftly thefe. Firft, We refer the object under confideration to fome general idea or clafs of things. We then recoiled the feveral attributes of that general idea. And, laftly, Afcribe all thofe attributes to the prefent objed. Thus, in confidering the charader of Sempronius, if we find it to be of the kind called virtuous, when we at the fame time refled that a virtuous charader is deferving of efteem, it naturally and obvioufly follows that Sem¬ pronius is fo too. Thefe thoughts put into a fyllo- gifm, in order to exhibit the form of reafoning here re¬ quired, run thus: “ Every virtuous man is wrorthy of efteem. “ Sempronius is a virtuous man : “ Therefore Sempromus is worthy of efteem.” III. By this fyllogifm it appears, that before we af-The con¬ firm any thing ot a particular objed, that objed mull nexion and be referred to fome general idea. Sempronius is pvo-d^Pendence- nounced worthy of efteem only in confequence of his°* llujtwo being a virtuous man, or coming under that general branches of notion. Hence wTe fee the neceffary connexion of the reafoning various parts of reafoning, and the dependence theyoneuPon have one upon another. The determining the generaanother’ and fpecies of things 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 other, which confifts in afcribing to them their powers, properties, and relations. But wffien we have taken this previous ftep, and brought particular objeds under general names; as the properties we afcribe to them are no other than thofe of the general idea, it is plain that, in order to a fuccefsful progrefs in this part of knovv- ledge, we mull thoroughly acquaint ourfelves with the feveral relations and attributes of thefe our general ideas*. Part ITT. LOG Of ideas. When this is done, the other part will be eafy, Reafoning. an(] reqUires fcarce any labour or thought, as being no ' * ' more than an application of the general form of rea¬ foning reprefewted in the foregoing fyllogifm. Now, as we have already fufficiently fhown how we are to proceed in determining the genera and fpecies of things, which, as we have faid, is the previous ftep to this fecond branch of human knowdedge } all ^ that is farther wanting towards a due explanation of it is, to offer feme confiderations as to the manner of. in- vefligating the general relations of our ideas. This is the higheft exercife of the powers of the underltand- ing, and that by means whereof we arrive at the dif- covery of univerfal truths 5 infomuch that our deduc¬ tions in this way conftitute that particular fpecies of reafoning which we hav,e before faid regards principally 78 the fciences. good rea- foner. Two'things IV. But that we may conduft our. thoughts with required to fome order and method, we (hall begin with obferv- make a relations of our general ideas are of two kinds: either fuch as immediately difeover themfelves, upon comparing the ideas one with another } or fuch as, being more remote and diilant, require art and contrivance to bring them into view\. The relations of the firft kind furnifh us with intuitive and felf-evi- dent truths : thofe of the fecond are traced by reafon¬ ing, and a due application of intermediate ideas. . It is of this laft kind that we are to fpeak here, having defpatched what w^as neceffary with regard to the other in the Second Part. As, therefore, in tracing the more diflant relations of things, we mull always have recourfe to intervening ideas, and are more or lefs fuccefsful in our refearches according to our. acquaint¬ ance with thefe ideas, and ability of applying them and it is evident, that to make a good reafoner, two things are principally required. Fir/l, An extenfive knowledge of thofe intermediate ideas, by means of which things may be compared one with another. Secondly, The fkill and talent of applying them hap¬ pily in all particular inflances that come under conli- deration. _ . V. In order to our fuccefsful progrefs in reafoning, cAicimvt we mull have an extenlive knowledge of thofe inter¬ knowledge mediate ideas by means of which things may be com- diateidTas Pared one with another. For as it is not every idea that will anfwer the purpofe of our inquiries, but fuch only as are peculiarly related to the objects about which we reafon, fo as, by a comparifon. with them to furnifh evident and known truths 5 nothing is more apparent than that the greater variety of conceptions we can call into view, the more likely we are ^to find fome among them that will help us to the trutns here required. And, indeed, it is found to hold in experi¬ ence, that in proportion as we enlarge our views .of things, and grow acquainted with a multitude of uif- ferent objedls, the reafoning faculty gathers ftrength : for, by extending our fphere of knowledge, the mind acquires a certain force and penetration, as being ac- cuflomed to examine the feveral appearances of its ideas, and obferve what light they caft one upon ano¬ ther. VI. This is the reafon why, in order to excel re¬ markably in any one branch of learning, it is necefia- ry to have at leaf! a general acquaintance with the whole circle of arts and fciences. The truth of'it is. 79 Firft, An extenfive L ticular in- ' ftances. I G. 149 all the various divifions of human knowledge are very Rea^kntr< nearly related among themfelves, and, in. innumerable inftances, ferve to illuffrate and fet oil each other. g0 And although it is not to be denied that, by an ob-To excel in flinate application to one branch of iludy, a man may any one make confiderable progrefs, and acquire fome degree lpal.n-n^ of eminence in it •, yet his views will be always nar-We mult be row and contrafted, and he will wTant that mallerly j], general difeernment which not only enables us. to purfue our acquainted •diicoveries with eafe, but alfo, in laying them °Pen^Qjg(qr_ to others, to fpread a certain brightneis around them. Qf a-ts But when our reafoning regards a particular fcience,an(ifcien- it is farther neceffary that wTe more nearly acquainted, ourfelves with whatever relates to that Icience. A general knowledge is a good preparation, and enables us to proceed with eafe and expedition in wThatever branch of learning we apply to. But then, in the minute and intricate queltions of any Icience, we are by no means qualified to reafon with advantage until •we have perfe&ly maftered the fcience to which they ^ bevn'. We come now to the fecond thing requir-Secoftdly,^ ed, in order to a fuccefsful progrels in realoning ; jniii namely, the Ikill and talent of applying intermediate termediate ideas happily in all particular inftances that come un- ideas hap- der conlideration. And here, rules and precepts are; ' P' of little fervice. Ufe and experience are the belt > inltruclors. For, whatever logicians may boaft of being able to form perfedl reafoners by book and rule, we find by experience, that the ftudy of their pre¬ cepts does not always add any great degree of ftrength to the underitanding. In Ihort, it is the habit alone of reafoning that makes a reafoner. And. therefore the true way to acquire this talent is, by being much converfant in thofe Iciences wrhere the ait of reafon¬ ing is allowed to reign in the greateft perieflion. Hence it was that the ancients, who fo well under- ftood the manner of forming the mind, always began with mathematics, as the foundation of their philo- fophical ftudies. Here the underftanding is by de¬ grees habituated to truth, contrails infeniibly a cer¬ tain fondnefs for it, and learns never to yield its ai- fent to any propofition but where the evidence is fufficient to, produce full conviction. For this reafon Plato has called mathematical demonftrations the ca- thartics or purgatives of the foul, as being the pro¬ per means to cieanfe it from error, and reftore that natural exercife of its faculties in which juft thinking confifts. # 82 VIII. If therefore we would form our minds to a The ftudy habit of reafoning . clofely and in train, we cannot take any more certain method than the exerciling our-^n^.^ felves in mathematical demonftrations, fo as to contradt tions of a kind of familiarity with them. Not that we look great avail upon it as neceffary that all men ftiould be deep rna- re thematicians j but that, having got the wjay of reafon- ^ ing which that ftudy neceffarily brings the mind to, ^ they may be able to transfer it to other parts of know-^s o£ ledge, as they ftiall have occafton. fuch au- IX. But although the ftudy of mathematics be of all thors on ethers the moft ufeful to form the mind and give it other fub- an early relilh of truth, yet ought not other parts q^nguifti- philofophy to be negledled. Far there alio w7e meet etj for with many opportunities of exerciling the powers of ftrength the underftanding ; and the variety of fubjefts natu- andjuftnefs 0 oireaiGiiitig. i5o L 0 C Of rally leads us to obferve all thofe different turns of Reafoning. thinking that are peculiarly adapted to the feveral v ideas we examine, and the truth we fearch after. A mind thus trained acquires a certain mallery over its own thoughts, infomuch that it can range and model them at pleafure, and call fuch into view as beft fuit its prefent defigns. Now in this the whole art of rea¬ foning confilis ; from among a great variety of differ¬ ent ideas to fingle out thofe that are moft proper for the bufinefs in hand, and to lay them together in fuch order, that from plain and eafy beginnings, by gentle degrees, and a continued train of evident truths, we may be infenfibly led on to fuch difeoveries, as at our lirfl fetting out appeared beyond the reach of human underflanding. For this purpofe, befides the iludy of mathematics before recommended, we ought to apply ourfelves diligently to the reading of fuch authors as have diilinguifhed themfelves for ifrength of reafoning, and a ji>ft and accurate manner of thinking. For it is pbfervable, that a mind exercifed and feafoned to truth, feldom refts fatisfied in a bare contemplation of the arguments offered by others; but will be frequent¬ ly affaying its own ftrength, and purfuing its difeove- ries upon the plan it is moft accuftomed to. Thus we infenfibly contradl a habit of tracing truth from one ftage to another, and of inveftigating thofe general relations and properties which we afterwards aferibe to particular things, according as we find them compre¬ hended under the abftraft ideas to which the proper¬ ties belong. Chap. IV. Of the Forms of Syllogifms. 84 The figures I. Hitherto we have contented ourfelves with a offyllo- general notion of fyllogifms, and of the parts of which gifms. is now time to enter a little more particularly into the fubjedl, to examine their various forms, and lay open the rules of argumentation pro¬ per to each. In the fyllogifms mentioned in the fore¬ going chapters, we may obferve, that the middle term is the fubjeft of the major propofition, and the predi¬ cate of the minor. This difpofition, though the moft natural and obvious, is not however neceffary j it fre¬ quently happening, that the middle term is the fub- jedt in both the premifes, or the predicate in both; and fometimes, diredlly contrary to its difpofition in the foregoing chapters, the predicate in the major, and the fubject in the minor. Hence the diftindiion of fyllogifms into various kinds, fgures by logi¬ cians. For figure, according to their ufe of the word, is nothing elfe but the order and difpofition of the middle term in any fyllogifm. And as this difpofition is, we fee, fourfold, fo the figures of fyllogifms thence arifing are four in number. When the middle term is the fubjedf of the major propofition, and the predicate of the miner, we have what is called the frflfigure; As, “ No work of God is bad : “ The natural paflions and appetites of men are “ the work of God : “ Therefore none of them is bad.” If, on the other hand, it is the predicate of both the premifes, the fyllogifm is faid to be the iecondfigure: As, I C. Part III. “ Whatever is bad is not the work of God : Of “ Therefore the natural paflions and appetites of “ men are not bad.” Again, In the third figure, the middle term is the fub- jedt of the two premifes : As, “ All Africans are black : “ All Africans are men : “ Therefore lome men are black.” And laftly, By making it the predicate of the major, and fubjefl of the minor, we obtain fyllogifms in the fourth figure; As, “ The only Being wrho ought to be worftiipped is “ the Creator and Governor of the wTorld : “ The Creator and Governor of the wTorld is “ God : “ Therefore God is the only Being who ought to ** be worflnpped.” ^ II. But, befides this fourfold diftinflion of fyllo-The moqils gifms, there is alfo a farther fubdivifion of them inof tyllQ' every figure, arifing from the quantity and quality, as* they are called, of the propofitions. By quantity we mean the confideration of propofitions, as univerfal or particular j by quality, as affirmative or negative. Now aSj in all the feveral difpofitions of the middle term, the propofitions of which a fyllogifm confifts may be either univerfal or particular, affirmative or negative $ the due determination of thefe, and fo put¬ ting them together as the law's of argumentation re¬ quire, conftitute what logicians call the moods of fyllo¬ gifms. Of thefe moods there is a determinate num¬ ber to every figure, including all the poflible ways in which propofitions differing in quantity or quality can be combined, according to any difpofition of the mid¬ dle term, in order to arrive at a juft conclufion. The firft figure has only four legitimate moods. The major propofition in this figure muft be univerfal, and the minor affirmative j and it has this property, that it yields conclufions of all kinds, affirmative and negative, univerfal and particular. The fecond figure has alfo four legitimate moods. Its major propofition muft be univerfal, and one of the premifes muft be negative. It yields conclufions both univerfal and particular, but all negative. The third figure has fix legitimate moods. Its mi¬ nor muft always be affirmative 5 and it yields conclu¬ fions both affirmative and negative, but ail particular. ——Thefe are all the figures which were admitted by the inventor of fyllogifms, and of which, fo far as we know', the number of legitimate moods has been af- certained, and fevepally demonftrated. In every figure it will be found upon trial, that there zxz fixty four dif¬ ferent moods of fyllogifm •, and he w ho thinks it w orth while to conftrucl fo many in the fourth figure, always remembering that the middle term in each muft be the predicate of the major and the fubjeci of the minor pro¬ pofition, will eafily difeern wffiat number of thefe moods are legitimate, and give true conclufions. Befides the rules that are proper to each figure, Ariftotle has given fome that are common to all, by which the legitimacy of fyllogifms may be tried. Thefe 3 Partlll. L ° Of Thefe may be reduced to five : 1. There muft be Reafoning. on]y t]iree terms in a fyllogifm : As each term occurs ' v in two of the propofitions, it muft be precifely the fame in both ; if it be not, the iyllogifm is faid to have four terms, which makes a vicious fyllogifm. 2. T he middle term muft be taken univerfally in one of the pre- mifes. 3. Both premifes mult not be particular propo¬ fitions, nor both negative* 4* conclufion muft oe particular, if either of the premifes be particular ; and negative, if either ot the premifes be negative. . 5* term can be taken univerfal/y in the conclufion, if it be not taken univerfally in the premifes. For underftanding the fecond and fifth of thefe ruies, it is neceffary to obferve, that a term is faid to be ta¬ ken univerfally, not only when it is \.\\e fubjecl ot a uni- verfal propofition, but alto when it is the predicate or a negative propofition. On the other hand, a term is faid to be taken particularly, when it is either xhnefub- jeft of a particular or the predicate of an affirmative pro- 86 pofition. Toundation HI. The divifion of fyllogifms according to mood of th.- Other anj figure refpects thofe efpecially which are known fky the name of plain fimple fyllogilms j that is, which y oai ms, ^ boun{le(l to three propofitions, all fimple, and where the extremes and middle term are connected, according to the rules laid down above. But as the mind is not tied down to any one precife form of rea- foning, but fometimes makes ufe of more, lometimes of fewer premifes, and often takes in compound and conditional propofitions, it may not be amifs to take notice of the different forms derived from this fource, and explain the rules by which the mind condufls it- « felf in the ufe of them. Conditional IV. When in any fyllogifm th* major is a condition- fyllogiiins. al propofition, the fyllogifm itfelf is termed conditional. Thus: « If there is a God, he ought to be worftiipped : “ But there is a God : “ Therefore he ought to be worftiipped.” In this example, the major, or firft propofition, is, we fee, conditional, and therefore the fyllogifm itfelf is alfo of the kind called by that name. And here tve are to obferve, that all conditional propofitions are made of two diftind parts : one exprefling the condi¬ tion upon which the predicate agrees or difagrees with the fubjedf, as in this now before us, if there is a God i the other joining or disjoining the faid predicate and fubjedl, as here, he ought to be wor[hipped. I he firfl: of thefe parts, or that wdiich implies the condition, is called the antecedent; the feeond, where we join or dif* join the predicate and fubjeff, has the name of the con- fequent. x ^ V. In all propofitions of this kind, fuppofing them illation in exa& in point of form, the relation between the conditional antecedent and confequent muft ever be true and real 5 fyllogifms. that is, the 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 into our reafonings. Hence it follows, that when any conditional propofition is affumed, if we admit the antecedent of that propofition, we muft at the fame time neceflarily admit the confequent j but if we re¬ ject the confequent, wd are irL like manner bound to G I C. 151 reject the antecedent. For as the antecedent always Of exprefles fome condition which neceflarily implies the , ^ninfe‘ truth of the confequent •, by admitting the antecedent, we allow of that condition, and therefore ought aifo to admit the confequent. In like manner, if it appears that the confequent ought to be rejected, the antece¬ dent evidently muft be fo too : becaufe, as wras juft now demonftrated, the admitting of the antecedent would neceflarily imply the admiflion alfo of the confe- quent. . _ • Th VI. There are two ways of arguing in hypothetical^^ fyllogifms, which lead to a certain and unavoidable con-c0ndltl0nal clufion. For as the major is always a conditional pro-fyllogifms. pofition, confifting of an antecedent and a coniequent if the minor admits the antecedent, it is plain that the conclufion muft admit the confequent. 1 his is called arguing from the admiflion of the antecedent to the admiflion 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 confequent, is eftabliihed. Thus : “ If God is infinitely wife, and a£ts with perfeft “ freedom, he does nothing but what is beft: “ But God is infinitely wife, and a becaufe in it both antecedent and confequent are rejedled or taken away,., as appears by the following example : 90 « 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 ofThey in¬ conditional fyllogifms, and include.all the poflible ways^®3^ of arguing that lead to a legitimate conclufion j be" mate ways caufe we cannot here proceed by a contrary procefs of argUing, of reafoning, that is, from the removal of the ante¬ cedent to the removal of the confequent, or from the eftabliihing of the confequent to the eftabliftiing of the antecedent. For although the antecedent always ex¬ prefles fome real condition, which, once admitted, neceflarily 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 ililL hold, becaufe of fome other determi¬ nation that infers it. When we fay, If a/lone is ex- pofedfome time to the rays of the fun, it will contraci a certain degree of heat; the propofition is certainly true 5 and, admitting the antecedent, we muft alf© admit . L O 91 The man¬ ner of ar¬ guing in disjundtive fyHogifms. admit tlie confequent. But as there are other ways by which a ftone may gather heat, it will not follow, from the ceafmg of the before-mentioned condition, that therefore the confequent cannot take place. In other words, we cannot argue: But the Jione has not been expofed to the rays of the fun ; therefore neither has it any degree of heat: Inafmuch as there are a great many other ways by which heat might have been communicated to it. And if wre cannot argue from the removal of the antecedent to the removal of the confequent, no more can we from the admiflion of the confequent to the admiflion 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 aJione is expofedfome tune to the rays of thefun, it will contraEl 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¬ pofition, we obtain the fpecies of conditional fyllo¬ gifms : fo, where it is a disjunctive propofition, the fyllogifm to which it belongs is alfo called disjun&ive, as in the following example : “ The world is either felf-exiftent, or the work of “ fome finite, or of fome infinite Being : “ But it is not felf-exiftent, nor the work of a finite “ being : “ Therefore it is the work of an infinite Being.” Now, a disjunctive propofition is that, where of fe- veral predicates, w>e affirm one neceffarily to belong to the fubjeCt, to the exclufion of all the reft, but leave that particular one undetermined. Hence it follows, that as foon as w'e determine the particular predicate, all the reft are of courfe to be rejeCted •, or if we rejeCt all the predicates but one, that one necef¬ farily takes place. When, therefore, in a disjunctive fyllogifm, the feveral predicates are enumerated in the major ; if the minor eftabliftres any one of \hefe 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 eltablifti that -one. Thus, in the disjunctive fyllogifm given above, the major affirms one of the three predicates to be¬ long to the earth, viz. felf-exiftence, 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. fielfexifience, and the work of a finite be¬ ing. Hence the conclufion neceffarily alcribes 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 eftablilh one of the predicates, by affirming the earth to be the production of an infinite Being : then the conclufion muft remove the other two, afferting it to be neither felf-exifient, 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 G 1 c. Part III. other, is evident from the very nature of a disjunctive propofition. v——\r—J IX. In the feveral kinds of fyllogifms hitherto men- 92 tioned we may obferve that the parts are complete ; ImperfeCl that is*, the three propofitions of which they confift are reprefented in form. But it often happens, that fome one of the premifes is not only an evident truth, but alfo familiar and in the minds of all men j in w hich cafe it is ufually omitted, whereby we have an imper- feCt fyllogifm, that feems to be made up of only tvvo propofitions. Should we, for inftance, argue in this manner: “ Every man is mortal: “ Therefore every king is mortal : the fyllogifm appears to be imperfeCl, as confifting but of two propofitions. 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. ^ X. Thefe feemingly imperfeCl fyllogifms are called Enthyme- enthymemes; and occur very frequently in reafoning, mes. efpecially where it makes a part of common conver- fation. Nay, there is a particular elegance in them, becaufe, 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 ourfelves, and feem to ffiare in the difcovery of what is propofed to us. Now this is the great fecret oi fine 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 realoning. ft his gives a pleafure not unlike to that which the author himfelf feels in compofing. It befides (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 expreflion is left to exhi¬ bit a whole train of thoughts. # 94 XI. But there is another fpecies of rqafonmg with Ground of two propofitions, which feems to be complete in itfelf, and where we admit the conclufion without fuppofing jjate con_ any tacit or fuppreffed judgement in the mind, from fequencey. which it follows fyllogiftically. _ This happens between propofitions, where the connexion is fuch, that the ad¬ miflion of the one neceffarily and at the firft fight im¬ plies the admiffion alfo of the other. lor if it fo falls out, that the propofition on which the other depends is felf-evident, we content ourfelves wffth barely affirm¬ ing it, and infer that other by a direCl 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 uuiverfal propofition chances to be felf-evident, the particular ones follow of courfe, without any. farther train of reafoning. Whoever allow'S, 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 themfelves. 1 his argument therefore, “ Things equal to one and the fame thing, are equal “ to one another : “ Therefore, Part III. of Reafoning. LOG! C. “ 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 fird 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 unavoid¬ able confequence. All reduci- XII. Now, in all cafes of this kind, where propofi- ble to fyl- tions are deduced one from another, on account of a logifms of known snd evident connexion, we are faid to reafon feme one immediate confequence. Such a coherence of pro- other.0 pofitions manifeft at firft fight, and forcing itfelf upon the mind, frequently occurs in reafoning. Logicians have explained at fome length the feveral fuppolitions upon which it takes place, and allow of all immediate confequences 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 propofition that goes before, may yet be confidered as real enthymemes, whofe ma¬ jor, which is a conditional propofition, is wanting. The fyllogifm but ^uft mentioned, when reprefented accord¬ ing to this view, wall run as follows : “ If things equal to one and the fame thing, are “ equal to one another 5 thefe two triangles, each “ equal to a fquare whofe fide is three inches, are “ alfo equal between themfelves. w But things equal to one and the fame thing, are “ equal to one another : H Therefore alfo thefe triangles, &c. are equal be- “ tween themfelves.” This obfervation wall be found to hold in all imme¬ diate confequences whatfoever, infomuch, that they are in fa£l no more than enthymemes of hypothetical fyl- logifms. But then it is particular to them, that the ground on which the conclufion refls, namely its co¬ herence with the minor, is of itfelf apparent, and feen immediately to flow from the rules and reafons of ^gic. A forites of XIII. The next fpecies of reafoning we fliall take plain fimple notice of here is wdiat is commonly known by the name fyllogifins. 0f a Jorites. This is a way of arguing, in which a great number of propofitions are fo linked together, that the predicate of one becomes continually the fub- je£l of the next following, until at laft a conclufion is formed, by bringing together the fubjeft of the firft propofition, and the predicate of the laft. Of this kind is the following argument : “ God is omnipotent : “ An omnipotent Being can do every thing pof- “ fible : TJir foning faculty than induftion, and becaufe it is the have treat-method of mathematics, the firft fcience of reafon in ed of fyl- vvhich the fludent is commonly initiated, logifm firft. Chap, VI. Of Dcmonf ration. I. Having difpatched what feemed neceffary to be laid with regard to the two methods of direft reafon- ing, induBion and fjUcgifm ; we now proceed to confi- der the laws of demonftration. And here it muft be acknowledged, that in Aria demonftration, which re¬ moves from the mind all poflibility of doubt or error, the induflive method of reafoning can have no place. When the experiments and obfervations from which the general conclufion is drawn are numerous and ex- tenftve, the refult of this mode of reafoning is moral certainty 5 and could the indudlion be made complete, it would be abfolute certainty, equally convincing with mathematical demon.ftration. Hut however numerous and extenfive the obfervations and experiments may be upon which an indu&ive conclufton is eftabhlhed, they muft of neceflity come fhort of the number and' extent of nature j which, in feme cafes, by its im- menfity, will defeat all poflibility of their co-exten- fton ; and in others, by its diftance, lies out of the reach of their immediate application. I hough truth does not appear in all other departments of learning with that bold and refiftlefs convidtion with which it prefides m the mathematical fcience, it ftnnes 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 necefiary for the general fafety or convenience of a traveller, that he Ihould al¬ ways enjoy the heat and fplendor of a mid-day fun, whilft he can with more eafe jaurfue his journey under the weaker influence of a morning or an evening ray, fo it is not requilite, for the various concerns and pur- pofes of life, that men Ihould 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 and axioms arife from mere intuition. Here fyllogifm 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 ft- fyftem of fcience. As each ftep in the progrefs is fyllogiftic, we (hall endeavour to ex¬ plain the ufe and application of fyllogifms in this fpe- j0p cies of reafoning. Of reafon- We have feen, that in all the different appearances iogby a they put on, we ftill arrive at a juft and legitimate con- concatena- c|uplon . now it often happens, that the conclufion of lotfras ~ one iyllog^m becomes a previous propofition in ano- 1 g “ ‘ 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 Of a concatenation of fyllogifms all the various ways of Re:if"ningV reafoning that are truly conclufive may be with fafety introduced j hence St is plain, that in deducing any truth from its firft principles, efpecially where it lies at a confiderable diftance from them, w'e are at liberty to combine all the feveral kinds of fyllogifms above ex¬ plained, according as they are found beft to fuit the end and purpofe of our inquiries. When a propofition is thus, by means of fyllogifms, colle&ed from others more evident and knowm, it is faid to be proved; fo that we may in the general define the proof of a propofition to be a fyllogifm, or feries of fyllogifms, collefting 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 eftablilhed, then is the argu¬ ment fo conftituted called a demonf ration ; whereby it appears that demonftrations are ultimately founded on definitions and felf-evident propofitions. IIO II. All fyllogifms whatfoever, whether compound,All fyllo- multiform, or defedtive, are reducible to plain fituple g1*™5 what-. fyllogifms in fome one of the four figures. But this is^^J^. not alt. Syllogifms of the firft figure, in particular, the firft admit of all poflible conclufions : that is, any propofi- gure. tions whatfoever, whether an univerfal affirmation 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 hapens 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 reduftion, becaufe it would too much fwell the bulk of this treatife. It is enough to take notice that the thing is uniyerfally known and allowed among logicians, to whofe writ¬ ings we refer fuch as defire farther fatisfatftion in this matter. This then being laid down, it is plain that any demonftration whatfoever may be confidered 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 fyllogifms of fome one of the four figures; and fmee the fyllogifms of all the 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 poffible, difeover the ground upon which the conclufion reftsin fyllogifmsof the firft fi¬ gure } becaufe, by fo doing, we ffiall come at an univerfal principle of certainty, whence the evidence of all demon¬ ftrations in all their parts may be ultimately derived. m III. The rules then of the firft figure are briefly The grournf' thefe. The middle term is the fubjesft of the major?1 propofition, and the predicate of the minor. The^^j.®. major is always an univerfal propofition and the mi¬ nor always affirmative. Let us now fee what effedl thefe rules will have in reafoning. The major is an univerfal propofition of which the middle term is the fubjedft, ftanding the ruggednefs of its fty1e, has fo much real merit as a fyftem of logic, that it cannot be too diligently -ftudied by the \ oung inquirer who wilhes to travel by the ftraight road to the temple of Science* PartHI. L O 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 fubjeft of the conclufion is the fubjeft, and the middle term the pre¬ dicate. Here then the middle term is affirmed of the fubjedl of the conclufion*, that is, the fubjedt of the eonclufion is affirmed to be comprehended under, or to make a part of, the middle term. I has then we fee what is done in the premifes of a fyllogifm of the firft figure. The predicate of the conclufion is uni- verfaliy affirmed or denied of fome idea, f he fubjedt of the conclufion is affirmed to be or to make a part of that idea. Hence it naturally and unavoidably fol¬ lows, that the predicate of the conclufion ought to be affirmed or denied of the fubjedf. f o illuftrate this by an example, we (hall refume one of the fyllogiims of the firft chapter. lt Kvery creature pofleffed of reafon and liberty is ac “ countable for his adlions : « Man is a creature poffeffed of reafon and liberty : “ Therefore man is accountable for his a dhotis.” Here, in the firft propofition, the predicate of the conclufion, accouniablenefs, is affirmed of all creatures that have reafon and liberty. Again, In the fecond propofition, man, the fubjedt of the conclufion, is af¬ firmed to be or to make a part of this clais of crea¬ tures. Hence the conclufion neceflarily 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, wffiere the major is a negative propofition, or denies the predicate of the conclufion univerfally of the middle term, as the minor always aflerts the fubjedl 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 fubjedt. So that the ground of reafoning, in all fyllogifms of the firft figure, is manifcftly 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 01 any number of its individuals. Thefe two propofitions are called by logicians the diElum de omm, icaA didlum de tiullo ; and are indeed the great principles of fyl- logiftic reafoning, inafmuch as all conclufions whatfo- ever reft immediately upon them, or upon propofitions deduced from them. But what adds greatly to their value is, that they are really felf-evident truths, and fiich as we cannot gainfay without running into an exprefs contradidlion. To affirm, for inftance, that no man is perfeB, and yet argue that fome men are perfeB ; or to fay that all men are mortal, and yet \\\?&fome men are not mortal, is to alfert a thing to be and not to be at the fame time. 11 ^ n IV. And now we may affirm, that, in all fyllogifms tiorTan in- kgure> ^ th6 premifes are true, the conclu- fallible fion muft needs be true. If it be true that the pre¬ guide to dicate of the conclufion, whether affirmative or nega¬ tive, agree univerfally to fome idea and if it be alfo G i C. ri7 comprehended under that idea} then it neceffarily ^„a?^-ncr follows, that the predicate of the conclufion agrees alfo to the fubjeft. For to aiTert the contrary, would be to run counter to fome one of the two principles be» fore eftabliffied that is, it would be to maintain an evident contradidlion. And thus we are come at laft to the point we have been all along endeavouring to eftablilh} namely, that every propofition which can be demonftrated is neceffarily true. For as every de- monftration may be refolved into a feries of^ fyllo¬ gifms all in the firft figure and as in any one of thefe fyllogifms, if the premifes are true, the conclufion muft needs be fo too} it evidently followTs, that if all the feveral premifes are true, all the feveral conclu¬ fions 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 veiy 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 eftablilhed. Definitions are identical propofitions, wherein we con¬ nect the defcription of an idea with the name by which wTe choofe to have that idea caLed, and theie- 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 eftabliftied, are no other than conclufions gained by one or more fteps from definitions and felf- evident principles, that is, from true premnes, and therefore muft needs be true. Whence all the pre¬ vious propofitions of a demonftration being, we fee, manifeftly1 true j 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 demonftratmg, we may oe faid to do nothing more than combine a feries of fyllogifms together, all refting on the fame bottom } it is plain that one uniform ground of certainty runs through the whole, and that the conclufions are everywhere built upon fome one of the two principles before edabliihed, as the foundation of all our reafoning. 7 hefe two principles are eafily reduced into one, and may be ex- preffed thus: “ Whatever predicate, whether affirma¬ tive or negative, agrees univerfally to any idea 5. the fame muft needs agree te every or any number of indi¬ viduals comprehended under that idea.” And thus at length we have, according to our firft defign, reduced the certainty of demonftration to one fimple and univer- fal principle -, which carries its own evidence along with it, and which is indeed the ultimate foundation of all fyllogiftic reafoning. __ _ 113 v. Demonftration therefore ferving as an infallible The rules guide to truth, and therefore on fo fure and unalter-of logic fur- able a bafis, we may now venture to affert, that thenilh a truth and certainty. true that the fubjedl of the conclufion is a part of or rules of logic furniffi a fufficient criterion for the -loffcr the ftinguifhing between truth and falfehood. For fince diftmgmfh. every propofition that can be demonftrated is necef-ingbetween farily true, he is able to diftinguiffi truth from falfe- truth and hood who can with certainty judge when a propoli- falfehood; tion is truly demonftrated. Now, a demonftration is, as we have faid, nothing more than a concatenation of fyllogifms, all whofe premifes are definitions, feif- J evident * IT4 and ex¬ tending to all cafes where a certain knowledge of truth is attainable. rr$ The diftinC' tion of de¬ mon ft ra¬ tion into direcft: and ’Endiredt. L O evident truths, or proportions previoufly eftabliflied. • To judge therefore of the validity of a demonftration, we mull be able to diftinguilh whether the definitions that enter it are genuine, and truly defcriptive of the ideas they are meant to exhibit : whether the pro- potitions atTumed without proofs as intuitive truths have really that felf-evidence to which they lay claim : whether the fyllogifms are drawm 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 propofitions ferve anywhere as premifes unlefs they are conclu- fions of previous fyllogifms. Now7, it is the bufinefs of logic, in explaining the feveral operations of the mind, fully to inftruft 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 diftinguilhes 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- fcribes the manner of combining fyllogifms, fo as that they may form a train of reafoning, and lead to the fucceflive difcovery of truth. The precepts of logic, therefore, as they enable us to judge with certainty when a propofition is duly demonftrated, furnifti a fure criterion for the diftinguiftiing between truth and falfehood. VI. Perhaps it may be objected, that demonftra¬ tion is a thing very rare and uncommon, as being the prerogative of but a few fciences, and therefore the criterion here given can be of no great ufe. But wherever, by the bare contemplation of our ideas, truth is difcoverable, there alfo demonftration may be attained. Now that is an abundantly fufficient crite¬ rion which enables us to judge with certainty in all cafes where the knowledge of truth comes within cur reach for with difcoveries, that lie beyond the li¬ mits of the human mind, we have, properly, no bufi¬ nefs or concernment. When a propofiticn is demon¬ ftrated, we are certain of its truth. When, on the contrary, our ideas are fuch as have no vifible connec¬ tion or repugnance, and therefore furnifti 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 feme 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 proof, and of what is ftill wanting to render it full and complete, enable us to make a due eftimate of the meafures of probability, and to proportion our affent to the grounds on which the propolition ftands. And this is all we can poflibly arrive at, or even fo much as hope for, in the exercife of faculties fo im¬ pel -eel and limited as ours. VII. Before we conclude this chapter, it may not be improper to take notice of the difiinflion of demon¬ ftration into direB and indircB. A direB detnonflration is, when, beginning with definitions, felf evident pro- pofitions, or known and allowed truths, w^e form a train of fyllogifms, and combine them in an orderly manner, continuing the feries through a variety of fuc- cefiive fteps, until at laft we arrive at a fyllpgifm whofe conclulion is the propofition to be demonftrated. Proofs 2 G I C. Part III. of this kind leave no doubt or uncertainty behind Of them ; becaufe, all the feveral premifes being true, the Reaforing.. cdnclufions rnuft be io too, and of courfe the very laft ^ 1111 conclufion or propofition to be proved. The other fpecies of demonftration is the indireB, or, as it is fometimes called, the apogogical. The manner of pro¬ ceeding here is, by affuming a propofition which di- redlly contradicls that we mean to demonftrate $ and thence, by a continued train of reafoning, in the way of a diredl demonftration, deducing fome abfurdity or manifeft untruth. For hereupon we conclude, that the propofition affirmed was falfe 5 and thence again, by an immediate confequence, that the propofition to be demonftrated is true. Thus Euclid, in his third book, being to demonftrate that circles which touch one another inwardly have not the fame centre, affumes the direct contrary to this, viz. that they have the fame cen¬ tre $ and thence, by an evident train of reafoning, proves that a part is equal to the whole. The fuppofi- tion therefore leading to this abfurdity he concludes to be falfe, viz. that circles touching one another inwardly have the fame centre ; and thence again immediately in¬ fers, that they have not the fame centre. 1J(-) VIII. Now, becaufe this manner of demonftration is Ground of accounted by fome not altogether fo clear and fatisfac-Fea/orjng tory ; we (hall therefore endeavour to (how, that equally with the other leads to truth and certainty, a" Two propofitions are faid to be contradidlory one of another, w7hen that which is afferted to be in the one is afferted not to be in the other. Thus the propofi¬ tions, Circles that touch one another inwardly have the fame centre, and Circles that touch one another inwardly have not the fame centre, are contradlBories, becaufe the fecond afferts the diredt contrary of what is afferted in the firft. Now, in all contradidlory propofitions, this holds univerfally, That one of them is neceffarily true, and the other neceffarily falfe. For if it be true, that circles which touch one another inwardly ha^e not the fame centre j it is unavoidably falfe that they have the fame centre. On the other hand, if it be falfe that they have the fame centre, it is neceffarily true that they have not the fame centre. Since therefore it is impoffible for them to be both true or both falfe at the fame time $ it unavoidably follows, that one is neceffarily true, and the other neceflarily falfe. This then being allowed, which is indeed felf-evident j if any two contradictory propofitions are affirmed, and one of them can by a clear train of reafoning be demonftrat¬ ed to be falfe, it neceflarily follows that the other is true. For as the one is neceflarily true, and the other necef- farily falfe ; when we come to difeover which is the falfe propofition, we thereby alfo know the other to be true. IX. Now this is precifely the manner of an indiredtIndire<£l Je- demonftration, as is evident from the account given ofmonftra- it above. For there we affume a propofition which di-tl0Ps a ^lire redtly contradidls that we mean to demonftrate j and, e-^ having by a continued feries of proofs fhown it to be falfe, thence infer that it is contradidlory, or the pro¬ pofition to be demonfirated, is true. As, therefore, this laft conclufion is certain and unavoidable 5 let us next inquire after what manner we come to be fatisfied of the fallehood of the affumed propofition, that fo no poflible doubt may remain as to the force and validity of demonftrations of this kind. The manner then is plainly this : Beginning with the affumed propofition. Fart IV. . L ° Of Method, we, bv the help of definitions, felf-evxdent truths, or u—v propofitions already eftablilhed, continue a fenes of reafoning, in the way of a direft demonftration, until at length we arrive at feme abfurdity or known falie- hocd,& Thus Euclid, in the example before mention¬ ed, from the fuppofition that circles touching one an¬ other inwardly have the fame centre, deduces that a part is equal to the whole. Since, tneieioie, bj a due and orderly procefs of reafoning, ue come at laid to a falfe conclufion •, it is manifeft, that all the premifes cannot be true : for, were all the premifes true, the laft conclufion muft be fo too, by what has been be¬ fore demonifrated. Now, as to all the other premifes made ufe of in the courfe of reafoning, they are mani¬ feft and known truths by fuppofition, as being either definitions, felf-evident propofitions, or truths previ- oufly eftabliftied. The affumed propofition is that on- ly as to which any doubt or uncertainty remains. That alone, therefore, can be falfe ; and indeed, from what has been already ftiown, muft unavoidably be fo. And thus we fee, that in ifidirect demonftrations, two contradidlory propofitions being laid down, one of which is demonftrated to be falfe, the other, which, is always the proportion to be proved, rauft neceffarily be true fo that here, as well as in the dirett way of proof, w7e arrive at a clear and iatisfadf ory know ledge of truth. . . X. This is univerfally the method of reafoning m all 'kSe'of apogogical or direft demonftrations. But if any pro- indirect de-pofition is aflumed, from which, in a diredf tram of monltra- reafoning, we can deduce its contradictory 5 the pro¬ pofition fo affumed is falfe, and the contradiaory one true. For if we fuppofe the affumed propofition to be true, then, fince all the other premifes that enter the demonftration are alfo true, wTe ftiall have a feries of reafoning confifting wholly of true premifes; whence the laft conclufion or contradiaory of the affumed pro¬ pofition muft be true likewife : fo that by this means we ftiould have two contradiaory propofitions both true at the fame time, which is manifeftly impoflible. The aflumed propofition, therefore, whence this abfur¬ dity flows, muft neceflarily be falfe ; and confequently its contradiaory, which is here the propofition deduced from it, muft be true. If then any propofition is pro- pofed to be demonftrated, and we qffume the contra- ciElory of that propofition, and thence direaiy infer the propofition to be demonftrated j by this very means we know that the propofition fo inferred is true. For, fince from an aflumed propofition wTe have deduced its contradiaory, we are thereby certain that the aflumed propofition is falfe j and if fo,. then its .contradiaory, or that deduced from it, which in this cafe . is the fame with the propofition to be demonftrated, muft be true. tions, G I C. 159 XI. We have a curious inflance of this in the twelfth Of Method- propofition of the ninth book of the Elements. Eu- ^ did there propofes to demonftrate, that in any feries ^ due of numbers, rifing from unity in geometrical progref- knowledge fon, all the prime numbers that meafire the laft term °f the Pfi"- in the feries will alfo meafurc the next after unity. In °“ order to this, he affumes the contradiaory or the pf°-penfal>ly pofition to be demonftrated*, namely, thatfome prime necefikvy to number tneafurmg the lafl term in the feries does not make us mcafure the next after unity ; and thence, by a conti- of nued train of reafoning, proves that it aaually does^n^ftra. meafure it. Hereupon he concludes the aftumed pro-tion; pofition to be falfe * and that which is deduced from it, or its contradiaory, which is the very propofition he propofed to demonftrate, to be true. Now* that this is a juft and conclufive way of reafoning, is a- bundantly manifeft from what we have fo clearly efta¬ bliftied above. Whence it appears, how neceflary feme 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 w*e can at once difeern, that of two contradi&ory -propofitions, the one is ne¬ ceffarily true, and the other neceffarily falfe ; yet when they are fo linked together in a demonftration, as that the one ferves as a previous propofition wdience 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 colle&ed by reafoning, ought to be embraced as true, and the other, whence it is collefted, to be rejected as falfe. 120 XII. Having thus fufticiently evinced the certainty of and ofit- demonftration in all its branches, and ftiown the rules by klffuffi- which w*e ought to proceed, in order to arrive at a juft a_ conclufion, according to the various w*ays of arguing gajnfl. crroi.. made ufe of j it is needlefs to enter upon a particular and falfe confideration of thofe feveral fpecies of falfe reafoning reafoning.. which logicians diftinguifti by the name of fophifms. He that thoroughly underftands the form and ttruc- ture of a good argument, will of himfelf readily dif¬ eern every deviation from it. And although fophifms have been divided into many claffes, which are all called by founding names, that therefore carry in them much appearance of learning 5 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, w7e choofe to conclude this part of logic : and ftiall in the next give fome account of Method, which, though infeparable from reafoning, is neverthelefs always confidered by logi¬ cians as a diftinct operation of the mind *, becaufe its influence is not confined to the mere exercife of the reafbning faculty, but extends in fome degree to alL the tranfaclions of the underftanding. PART IV. OF METHOD. The under- WE have now done with the three firft operations landing 0f the mind, whofe office it is to fearch after truth, foinetimes 2nc| eniarCre the bounds of human knowledge. There hTpittSl is yet a f°Luth> ™Mch regards the difpofal and ar- together* rangement ©f our thoughts, when we endeavour , lo known to put them together as that their mutual connexion truths; ^ and 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 luppofes a previous exercife of our other faculties, and fome progrefs m^de in knowledge before we can exert it in any extenlive degree. II. In*: ,i6o LOGIC. Of Method. II. In this view, it is plain that we muft be before- we have paffed through, 122 fometimes in the fearch and difcovery of fuch as axe un¬ known: 123 Illuftrated hand well acquainted with the truths we are to combine together ; otherwife, how could we difcern their feveral connexions and relations, or fo difpofe of them as their mutual dependence may require ? But it often happens, that the underftanding is employed, not in 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 flock of knowledge relating to any fubje£l, and, after a ge¬ neral furvey of things, begin with examining them fe- parately and by parts. Hence it comes t© pafs, that whereas, at our firft fettfng out, we were acquainted only with fome of the grand flrokes and outlines of truth j by thus purfuing her through her feveral windings and receffes, we gradually difcover thofe more inward and finer touches whence fhe derives all her flrength, fymmetry, and beauty. And here it is, that when, by a narrow' fcrutiny into things, W'e have unravelled any part of knowledge, and traced it to its firfl and original principles, infomuch that the whole frame and contexture of it lies open to the view of the mind j here it is, that, taking it the contrary way, and beginning with thefe principles, wre can fo adjufl and put together the parts as the order and me¬ thod of fcience requires. III. But as thefe things are befl underflood when il- by the fimi- luflrated by examples, let us fuppofe any machine, for watch°^a *n^ance a watch* prefented to us, whofe flru£lure and compofition we are as yet unacquainted with, but want, if poffible, to difcover. The manner of pro¬ ceeding, in this cafe, is, by taking the whole to pieces, and examining the parts feparately, one after another. When, by fuch a fcrutiny, 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 adlion and influence. By this means we gradually trace out the inw'ard 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, conflitute that particular machine called a watch, and contribute to yll the feveral motions and phenomena obfervable in it. This difcovery being made, we can take things the contrary way, and, beginning w’ith the parts, fo difpofe and connefl them as their feveral ufes and flruc- tures require, until at length we arrive at the whole itfelf, from the unravelling of which thofe parts re- fulted. Ground of IV. And as it is in tracing and examining the wmrks the analytic of art j fois it, in a great meafure, in unfolding any part and fynthe- Gf human know/ledge : for the relations and mutual tic methods, habitudes of things.do not always immediately appear upon comparing them one wdth another. Hence w'e have recourfe to intermediate ideas 5 and, by means of them, are furnifhed with thofe previous propofitions that lead to the conclufion we are in queft of. And if it fo happens that the previous propolitions them- felves are not fufficiently evident, we endeavour, by new middle terms, to afcertain their truth ; Hill 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 perfedlly fatisfied as to-the truth of all the conclufions . I Part TV. inafmuch as they are now Of Method, feen to Hand upon the firm and immoveable founda-v—■"v—— 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 dire£l contrary procefs, if, be¬ ginning with thefe principles, we carry the train of our thoughts forward until they lead us, by a con- nedled chain of proofs, to the very laft conclufion of the feries. V. Hence it appears, that, in difpofing and putting Divifiou of together our thoughts, either for our own ufe, that the method in- difcoveries we have made may at all times lie open toto ana!ytic the review' of the mind, or where we mean to commu-ancl fynthe“ nicate and unfold the difcoveries to others, there aretlC‘ two w'ays of proceeding equally within our choice : for w'e may fo propofe the truths relating to any part of knowledge, as they prefented themfelves to the mind in the manner of inveftigation ; 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, w'e may take the contrary way, and from them deduce, by a diredl train of reafoning, all the feveral propofitions we want to eftablifti. This diverfity in the manner of arranging our thoughts gives rife to the twofold divifion of method eftabliftied 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 difcovered, this is called \ht analytic method, or the method of refolution ; inafmuch as it traces things back¬ ward to their fource, and refolves knowdedge into its firft and original principles. When, on the other hand, they are deduced from thefe principles, and connefted 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 compoftion. 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 diftinftly to follow truth through all her different ftages and gradations. VI. There is this farther to be taken notice of, in Called o- relation to thefe two fpecies of method ; that the firft therw'ife has alfo obtained the name of the method of invention,1^. raet,10(l becaufe it obferves the order in which our thoughts fucceed one another in the invention or difcovery of the method truth. The other, again, is often denominated the of fcience-, method of doBrine 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 is great pleafure in purfuing truth in the method of inveftigation, becaufe it places us in the condition of the inventor, and fhow's the particular train and procefs of thinking by which he arrived at his difcoveries ; yet it is not fo well accommodated to the purpofes of evidence and convidlion. 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, wre are ftill obliged to many reviews, and Part IV. L O Of Method, and a frequent companion of the feveral f)ep3 of the k •— v—'*'1 ■' inveftigation among themfelves. Nay, when wre have unravelled the whole, and reached the very foundation on which our difcoveries ftand, all our certainty, in re- 1 gard to their truth, will be found in a great meafure to arife from that connexion we are now able to difcern between them and firit principles, taken in the order of compofition. But in the fynthetic manner of difpof- ing our thoughts, the cafe is quite different : for as we here begin with the intuitive truths, and advance by regular deduftions from them, every ftep of the procedure brings evidence and conviftion along with it ; fo that, in our progrefs from one part of know¬ ledge to another, we have always a clear perception of the ground on which our affent refts. In communi¬ cating therefore our difcoveries 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 pof- fedion of the fchools, and was deemed the moft 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 t/ie art of rea- ' foxing in the courfe of what is called a liberal education. As both extremes may be faulty, it fhould feem that we cannot conclude this Ihort treatife more properly than with the following Reflections on the Utility of Logic. If Ariflotle was not the inventor of logic, he was certainly the prince of logicians. The wrhole 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 Introdu&ion. But after men had laboured near 2000 years in fearch of truth by the help of fyl¬ logifms, Lord Bacon propofed the method of induc¬ tion, as a more effedlual engine for that purpofe ; and fmee his days the art of logic has gradually fallen in¬ to 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 Rotnifh church. Under their management it pro¬ duced numberlefs difputes, and numberlefs fe£ls, who fought againft each other with much animofity with¬ out gaining or lofing ground } but it did nothing con- liderable for the benefit of human life, wliilft the me¬ thod of induflion has improved arts and increafed knowledge. It is no wonder, therefore, that the ex- ceflive admiration of Ariftotle, which continued for fo many ages, Ihould end in an undue contempt : and that the high efteem of logic, as the grand engine of fcience, fhould at laft make way for too unfavourable an opinion, which feems 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 j and even they who Vol. XII. Part I. G I C. i5t in general think for themfelves, when they are offend- Of Method, ed at the abufe of any thing, are too apt to entertain ' prejudices againft the thing itfef “ In praflice (fays the learned War burton *), logic is more a trick than * lufrodue- a faience^ formed rather to amufe than to inftrucl. tl?n tc J11’ And in fome fort we may apply to the art of fyllogifm^c* what a man of wit fays of rhetoric, that it only tells us how to name thofe tools which nature had be¬ fore put into our hands. In the fervice of chicane, in¬ deed, it is a mere juggler’s knot, now faft, now loofe j and the fchools where this legerdemain was exercifed in great perfedlion are full of the ftories of its wonders.” The authority of Warburton is great j but it may be counterbalanced by another, which, on fubjefts of this nature, is cenfeffedly greater. “ Laying afide prejudice, whether faftiionable or unfalhionable, let us confider (fays Dr Reid f) whe- f Appendix ther logic is or may be made fubfervient to any goodt0 purpofe. Its profeffed end is, to teach men to think, ^ to judge, and to reafon, with precifion and accuracy, the Princi- No man will fay this is a matter of little importance :pies and the only thing therefore that can admit of doubt is, Pr0Srefs °f whether it can be taught ? Reafon. “ 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 lefs ; and where there is a remarkable defect of the natural power, it cannot be fupplied by any culture. But this natural power, even where it is the ftrongeft, may lie dead for want of the means of improvement. Many a favage may have been born with as good faculties as a Newton, a Bacon, or an Ariflotle ; 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 obferved, that the chief mean of improving our ration¬ al power, is the vigorous exercife of it in various ways and on different fubje£ls, by which the habit is ac¬ quired of exercifmg it properly. Without fuch ex¬ ercife, and good feT»fe over and above, a man who has ftudied logic all his life may be only a petulant wrang¬ ler, without true judgement or Ikill of reafoning in any fcience.” This muft have been Locke’s meaning, when in his Thoughts on Education, 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 j and yet much lefs ftrefs is laid upon it, and lefs time confumed in its ftudy. His counfel, therefore, was ju¬ dicious and feafonable ; to wit, That the improvement of our reafoning power is to be expedled much more from an intimate acquaintance with the authors who reafon beft, than from ftudying voluminous fyftems ol fchool logic. But if he had meant, that the ftudy ol logic was of no ufe, nor deferved any attention, he furely wnuld not have taken the pains to make fo con- liderable an addition to it, by his Effay on the Human Underfunding, and by his Thoughts on the ConduB of the Undetf ending; nor would he have remitted his pupil to Chillingworth, the acuteft logician as well as the belt reafoner of his age.” There is no ftudy better fitted to exercife and {Lengthen the reafoning powers than that of the ma¬ thematical fciences j becaufe there is no other branch X d. 162 LOGIC. Part IV. Of Method, of fclence which gives fiich fcope to long and accu- "" v ' 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 judgement. When a youth of mode¬ rate parts begins to ftudy Euclid, every thing is new to him : His apprehenfion is unlteady: his judgement is feeble 5 and rerts partly upon the evidence of the thing, and partly upon the authority of his teacher. But every 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 laft he acquires the habit not only of underftanding a demonflration, but of dif- covering and demonftrating mathematical truths. It muft indeed be confefled, that a man without the rules of logic may acquire a habit of reafoning juftly in mathematics, and perhaps in any other fcience. Good fenfe, good examples, and aflfiduous exercife, may bring a man to reafon juftly and acutely in his own profeflion without rules. But whoever thinks, that from this conceftion he may infer the inutility of logic, betrays by this inference a great want of that art j 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, without reducing it to rules. But pradtice join¬ ed with rules may carry a man forward in his art far¬ ther and more quickly than praftice without rules.— Every ingenious artift knows the utility of having his art reduced to rules, and thereby made a fcience. By rules he is enlightened in his pradlice, and works with more affurance. They enable him fometimes to corredl his own errors, and often to detedl the errors of others j and he finds them of great ufe to confirm his judgement, 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 fubjedl, 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 fubjedls either of fcience or deliberation. But when mathematics, inftead of being applied to this ex¬ cellent purpofe, are ufed not to exemplify logic, but to fupply its place j no wonder if logic fall into con¬ tempt, and if mathematics, inftead of furthering fci¬ ence, become in fa# an obftacle. For when men, knowing nothing of that reafoning which is univerfal, come to attach themfelves for years to a Jingle fpecies, 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 demonflralion; and whatever in that fci¬ ence is not demonftration, is nothing, or at leaft below the fublime inquirer’s regard. Probability, through its almoft infinite degrees, from fimple ignorance up to abfdlute certainty, is the terra incognita of the mathe- xnatician. ^nd yet here it is that the great bujinefs of the human mind is carried on in the fearch and dif- Of Method* covery of all the important truths which concern us ^ as reafonable beings. And here too it is that all its vigour is exerted : for to proportion the aflent to the probability accompanying every varying degree of mo¬ ral evidence, requires the moft enlarged and fovereign exercife of reafon. In reafonings of this kind, will any man pretend that it is of no ufe to be wTell 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 j 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 moft ingenious men have been led into error ? It mnft furely betray great want of underftanding, to think thefe things ufelefs or unimportant. Now thefe are the things which logicians have attempted j 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, it may yet be employed to excellent purpofes, as it is perhaps the moft compendious method of detefting a fallacy. A man in queft of unknown truths muft ge¬ nerally proceed by the way of induftion, from effects to caufes j but he, who as a teacher is to inculcate any lyftem upon others, begins with one or more felf-evi¬ dent truths, and proceeds in the way of demonftration, to the conclufion which he wifties to eftablifti. Now every demonftration, as has been already obferved, may be refolved into a feries of fyllogifms, of which the conclufion of the preceding always enters into the pre- mifes of that which follows : and if the firft principles be clear and evident, and every fyllogifm in fome legi¬ timate mode and figure, the conclufion of the whole muft infallibly be admitted. But when the demon¬ ftration is thus broken into parts j if we find that the conclufion of one fyllpgifm will not, without altering the meaning of the terms, enter legitimately into the premifes of that which fhould 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 affured that the author’s reafoning is fallacious, and leads to error j and that if it carried an appear¬ ance of convidtion before it was thus refolved into its elementary parts, it muft have been owing to the ina¬ bility of the mind to comprehend at once a long train of arguments. Whoever wifties to fee the fyllogiftic art employed for this purpofe, and to be convinced of the truth of what we have faid refpedting its utility, may confult the excellent writer recommended by Locke, who, in places innumerable of his incompar¬ able book, has, without pedantry, even in that pe¬ dantic age, made the happieft application of the rules Part IV. L O Of Method, of logic for unravelling the fophiftry of his [Jefuitical antagonift. Upon the whole, then, though xve readily acknow¬ ledge that much time was wafted by our forefathers in lyllogiftic wrangling, and what might with little G i C. 163 impropriety be termed the mechanical part of logic j yet the art of forming and examining arguments is cer¬ tainly an attainment not unworthy the ambition of that being whofe higheft honour is to be endued with rea* fon. Of Method’ LOG Logiftse, Logogra- phy. LOGISTiE, certain officers at Athen, in number ten, whofe bufinefs conlifted in receiving and paffing the accounts of magiftrates when they went out of office. The logijlce were elected 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 fmgle let¬ ters, are made to correfpond to whole words. This method, though feemingly a retrograde procef- fion in the printing art, has lately obtained the fanc- tion of his majefty’s patent, and has for fome time been aflually put in execution in the way of trade, apparent¬ ly with advantage to the proprietors. In the year 1783* a treatife upon this fubjeft appeared by Henry Johnfon, in which the origin as well as the utility of the art are fully laid down, and the matter fet forth in fuch a light as can fcarce allow us to doubt that it is an improve¬ ment in the art. Mr johnfon informs us, that about five years before, viz. in the year I77^> intending to publilh a daily lift of blanks and prizes in the lottery numerically arranged, he found it could not be accom- pliffied in time by the ordinary way of printing. On this account he procured types of two, three, or more figures as was neceffary for his purpofe j and thus any entire number might as readily be taken up as if it had been a Angle 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, “ by which (fays he) every fpecies of figure-printing could be performed for the tenth part of the coft, printers always charging it double the price of letter-print¬ ing.” Having thus fucceeded to his wifti in his two firft attempts, he next began to confider if the me¬ thod could not be applied to words j and in this alfo the fuccefs was equal. The properties of the logographic art, according to our author, are, 1. That the compofitor ftiall 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 eafily laid hold of as that of a Angle letter. 4. The decompoAtion is much more readily performed, even by the mereft novices, than they now decompofe letters. 5. No extraordinary expence nor greater num¬ ber of types is required in the logographic than in the common method of printing. The Arft of thefe poAtions is proved by our author in the following manner. In the common method, the compoAtor has 150 diviAons to which there is no reference, and the printing offices are not agreed with refped to the mode of placing their boxes ; “ but under this improvement he has only to know the .letters of the alphabet, and is affifted with an index LOG of them, infomuch that tha Amplicity of the latter hogogra*. apparatus enables him, by a little praftice, to lay his , p^y‘ . finger almoft blindfold on the word required j and the meaneft capacity is equal to this mental exercife, having little more to do than knowing by infpeftion the difference between words under three and thofe above three fyllables j and ail the apparatus being within a compafs not a great deal more extended than common printing, for thefe reafons he is as foon pof- fefled of his type of a -word as they are of a Angle letter.” Thus the firft and third pofitions may be faid to be proved ; but in his proof of the fecond, our author himfelf {hows that his art is not infallible, by fubftitut- ing the word third inftead of fecond. Subftitutions of this kind, he owns, may readily take place j but fuch errors are much more confpicuous than literal ones, though they may be corredted 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 difad- vantage than in the common way, and it would be rec- tifted with greater facility.” The eafe with which the compofftion -is performed, {hows that there mult be an equal eafe in performing the decompoAtion j “ from whence (fays Mr Johnfon) it is further demonftrable, that any work can be com¬ pofed by this method nearly as foon as it can be deli¬ berately read j and as to the fifth pofition, that it {hall not require a greater expence of types, it is anfwered, that it is impoffible for more types of letters to be want¬ ed for this method than by any other printer according to the equal quantity of bufinefs to be performed, every office having certain known quantities of each letter called a fount. A printer’s fount cpntains about 92,500 letters, and our want is not more; nay, nearer the truth, the prefent quantity for a fount containing much more of fome letters than necellary, and fewer of others ; which arifes from the calculation of the quantity of each letter wanted being adhered to fince the old fpelling.” Our author now proceeds to demonflrate that the number of types muft neceffarily decreafe as they are combined in 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 {fill fewer fubdivifions $ which is attained by the following procefs. 1. A colledlion of words,, with the addition of tenfes, plurals, and degrees of comparifon, amounting to more than 100,000, was made from the bell Engltih dictionaries : 2. Collections were made from the mifeeiianeous part X 2 of logogra phy. /1< O G f i • of 20 newfpapers, the Spectator, and Common Prayer¬ -book. The method was, by procuring duplicates of every flieet, fo that each alternate fide might be parted over with white paper, in order to leave the whole of the words on both fides perfedt j and thus the whole might be touched with lefs danger of injury than other- xvife could have been done. The confufion arifina 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 wrord. Thus feveral letters were diftindlly col- ledfed ^ 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.word} and thus all the wTords were ranged alpha¬ betically, confifting of two, three, four, or five letters, in feparate parcels. 4. The fame words were then placed together, and ported 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 flieet, and alfo to know what words are in general ufe : There are likewdfe a num¬ ber of technical terms, and favourite phrafes, a great 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 will be neceffary than what fuffice for a fingle ftieet. 5. The whole of the above might be done without the trouble juft mentioned, by porting every word at once into a triformed alphabet ; becaufe the fubdivi- fions of the fecond and third commencing letter of each word for references are now obtained, and thus can ealily be placed in its proper divifion, and may be marked as often as it occurs, without repeating the fame word } whence w’e plainly fee the eafe and expe¬ dition of it, from the facility and expedition of porting every word from a leaf in any book. Before fuch fub- divifions were known, they could only have been pla¬ ced under the firft commencing letter of the wmrd } 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 poftings to bring them into arrangement} fo that they may be found more eafily than by the above proceedings. Thus alfo a colleftion will be obtained of fingle and double words, which are conftantly required from 20 to 400 or 500 times in the printing one fheet of any work whatever } and which alone would abridge the compofi- tor’s work near one-third. This fecond procefs like¬ wife enabled the author to reje£f, out of the firft col- leftion, obfolete words, technical terms, &c. which re¬ duces the original colle&ion to one-fifth part. 6. By proceeding in this manner, feveral fpecies of words are omitted in the founts. 1. 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, 64 ] LOG are alfo rejected ; becaufe we actually have the words Logogra- aiready, and they may be joined with fufficient expe- phy. dition, though the fpaces are annexed to each, by ' "' "y being conftruaed accordingly. 4. Thofe of the fame fpelling.are likewife omitted, though they bear differ- ent fignifications, for obvious reafons. 7. The variation of tenfes, degrees of comparifon, and numerous words in the Engllrti 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 expeditioufly as the whole word could be found in the fount, from its being thereby fo much lefs extended. Thus, by dividing fe¬ veral words into their radices and terminations, many other words may be formed from their 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 ra¬ dix is ador, to which the terminations es, ed, eji, eth er, ing, may be added occafionally. 9. By rejecting alfo the words which come under this laft denomination, the number neceflary for a fount is reduced to one-tenth of what it would other wife be, as will appear evident from the following confiderations : I. There are at leaft 42 verbs, the infinitive of which ends in ify ; as qualify, Jignify; the radices of which are qual, Jign ; the terminations are, if.es, ifed, ifying, &c. And Mr Johnfon informs us, that by applyino thefe radices to other terminations, he was enabled to difpenfe with more than 500 words which would other- wife have been neceffary. 2. For all regular verbs, no more than fix terminations are neceffary, viz. r, ef, eth, ed, es, ing. There are but few irregular ones in the Fnglifh language ; whence it happens that 12 or 14 words may be formed from one fingle perfeft verb as a radix, and many imperfect ones fave double that num¬ ber. 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 mort 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, _s 1 abs—apper—afeer ecj ^ de—dis—con cer—cap—-cur ing r^r—cap-cur mentj enter—main—re—fus, &c. 11. Thus it will be found, that out of more than 100,000 words of which the Englilh language confifts, 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 yaft number of words require an explanation} whereas in any mifcellaneous work, there are none but what can be underftood moft readily either together or apart. Newfpapers retain more of the uncommon kind of words than any others. “ The vocabulary (fays our author) LOG [ 165 ] L O H Logogra- or alphabet as it is called, of the Chinefe, confifts of phj- above 80,000 letters or chara&ers; yet he is admitted a mafter 0f the language who knows about 4000 of them, no more being in general ufe.” The expedition with which the logographic method of printing can be accomplilhed, depends eflentially on their arrangement 5 which, from great numbers of ex¬ periments, our author found to be bell accomplilhed in the following manner : 1. Words of one, two, or three fyllables, are alphabetically placed by themfelves, including all poflible commencing fyllables, by w’hich the compofitor cannot fail of finding the word either in whole or in part, let it be w'hat it will j and when the whole cannot be found at once, the remainder may eafily be found in fingle or double fyllables among the terminations. 2. All words above three fyllables have the fame alphabetical arrangement $ the terminations being the fame at the bottom of each. Experience (hows, that by a very few leflbns, the meaneft capacity may determine the number of fyllables, and refer to the particular cafe containing words of that number, there being confpicuous references to each •, and by thus equalizing them, any perfon may poffefs himfelf very expeditioully of what he wants. Even boys who fcarcely knew more than the letters of the alphabet, were hardly a fortnight employed in this method, when they could at the firft glance tell the number of letters contained in any word. By this fimplicity of arrangement, any intelligent perfon, who never compofed in his life, by being pla¬ ced in a room with the apparatus, could compofe and print, without other previous inftruflion than defiring him to remember that the words under three fyllables, and thofe above three, are placed in feparate alphabets j and that whenever he wants a wrord, the firft letter is feen in capitals of twTo inches on the walls, the fecond in letters of one inch in right lines j and where it is ne- ceflary to have more columns than one for fuch fecond letter, the third is given in red down the column, com¬ prehending about 12 divifions, 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 inflan- ces 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 word ; 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 j but “ admitting that practice will give the word as foon as a fingle letter, the average wfill be found eight for one.”—Our author’s explanation of the method in which this word might be compofed, how'ever, feems by no means intelligible.—“ For this diftindtion in the cafes (fays he), the alphabet, or rather marks of firft reference in large charadlers on the wall, is divided into turn claffes, not as vowels and confonants, but as fol¬ lows, viz. A, Con, Dif, E, In, O, P, S, Un, com¬ mencing 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 refe¬ rence to the words, diftinguilhing always the third let- ter in red. The fecond diftindlion is that for all other Logogra- commencing letters^ the fecond letter of reference is in a column down, and the third letter in lines from left to right in red. > , ~ J Thefe are the diredfions given by our author for forming a fount of words j the next requifite is a fount of fyllables, formed in the following method : 1. A complete fet of two letters was obtained in all their poflible combinations, amounting to 676. 2. Having next obtained the poflible combination of thefe letters, viz. 17576, by retaining only all poflible fyllables, and words of three letters, it is reduced to the 30th part, which anfwer all the purpofes of compofing with fylla¬ bles of two and three letters, for Latin, French, Eng- lifti, and all names of perfons, places, and things, every poflible fyllable being comprehended among them. Hence it forms an univerfal Informed alphabet, where Englilh charadlers are ufed ; from •whence all partial biformed and triformed alphabets in the arrangement of Englifti, 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 j yet as much as all poflible combinations increafe in quantity pro¬ portionate to the number of letters combined, fo they decreafe in the adtual number of fyllablcs 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.—Befides the two founts already mentioned, a third was found ne- ceflary for fuch terminations as are moft commonly fol¬ lowed by particular punctuations ; but, after fome con- fideration, this wras judged unneceffary. Our author nowT proceeds to obviate fome objections which muft 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 4 but lie 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 writ¬ ing the pamphlet, he was undetermined whether it be moft eligible to have fpaces call along with the begin¬ nings of words, or to fpaee them in the common man* ner. The former would be more expeditious 5 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 accompliflied by means of the fyl- labic fount already mentioned. 4. How is the error of fubftituting one word for* another to be reClified ? The anfwer to this is, that an error of the kind fpe- cified may be correfted in the very fame manner as is done in common printing. Long words may be divided' by means of the fyllabic fount already mentioned, and the intervals between the words may be filled up with fpaces as ufual. LOGWOOD. See Hematoxylon*, Botany and? Dyeing Index. LOHOCHj or LOCH, in Pharmacy, a compofition? of; Loins Lollards. L O L [ 166 ] of a middle eonfiftence between a foft ele&uary and a fyrup, principally ufed in diforders of the lungs. i LOINS, in Anatomy, the two lateral parts of the umbilical region of the abdomen. LOIRE, the iargeft river in France, rifes in the mountains of the Cevennes, and, after running a courfe of about geo miles, falls into the bay of Bifcay. LOKE, in Mythology, the name of one of the dei¬ ties of the northern nations, anfwering to the Arima- nius among the Perfians, whom they reprefent as at en¬ mity both with gods and men, and the author of all the evils which defolate the univerfe. Loke is deferibed in the Edda as producing the great ferpent which encircles 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 encoun¬ ter the gods and deftroy the world. LOKMAN the Wise, an eminent phiiofopher a- niong the Eafterns. The Arabians fay he was the fon of Baura, the fon or grandfon of a filler or aunt of Job. He was an Ethiopian, and a Have 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 fuppofe him to have been the fame with iEfop the mythologift: and indeed we find in the parables or apologues of Lok- man in Arabic, many particulars that are feen in ]5L- fop’s fables j fo that it is not eafy to determine whether the Greek or the Arabian are the originals. He is faid to have been deformed in his perfon ; but that this de- fed was fufficiently made up^ by the perfedions of his mind. Some pieces of his are extant j and he was look¬ ed upon as fo excellent a perfon, that Mahomet has in- ferted a chapter of the Koran, called after his name, in which he introduces God as faying, “ We heretofore bellowed wifdom on Lokman.”—It is related that he got his liberty on the following occafion. His mailer having given him a bitter melon to eat, he ate it all. His mailer, furprifed at his exad obedience, alked, How it was pollible for him to eat fuch a naufeous fruit ? He anfwered, “ I have received fo many favours from you, that it is no wonder I ihould once in my life eat a bitter melon from your hand.” This generous anfwer of the Have llruck the mailer to fuch a degree, that he immediately gave him his liberty. M. Galland tranllated all the fables of Lokman, and Bidpai or Pil- pay, a bramin phiiofopher, which were publilhed at Paris in 17 24. LOLIUM, darnel grass •, a genus of plants be¬ longing to the triandria clafs •, and in the natural me¬ thod ranking under the 4th order, Gramina. See Bo¬ tany Index. LOLLARDS, in ecclefiaftical hillory, a religious fed, 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 dogmatize 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 lo/ium, “ a tare as if the Lollards ;vere the tares fown in Chrift’s vineyard. 3 L O L Abelly fays, that the word Lollard fignifies 11 praifing God,” from the German loben, “ to praife,” and herr, “ Lord ;” becaufe the Lollards employed themfelves in travelling about from place to place, finging pfalms and hymns. Others, much to the fame purpofe, derive lollhard, /ulI hard, or lollert, lullert, as it was written by the an¬ cient Germans, from the old German word Inllen, /al¬ ien, or /alien, and the termination hard, with which many of the High Dutch words end. Lollen fignifies “ to fing with a low voice,” and therefore Lollard is a finger, or one who frequently fings j and in the Lollards vulgar tongue of the Germans it denotes a perfon who is continually praifing God with a fong, or finging hymns to his honour. The Alexians or Cellites were called Lollards, becaufe they were public fipgers 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 indiliintt tone as they carried them to the grave. The name was afterwards affumed 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 afls of piety, there were many abo¬ minable hypocrites, who entertained the molt ridiculous opinions and concealed the moll enormous vices under the fpecious mark of this extraordinary profeffion. And many injurious afperfions were propagated againll thofe who affumed this name by the priefts and monks; fo that, by degrees, any perfon who covered herefies or crimes under the appearance of piety, was called a Lol¬ lard. 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 profef¬ fion of extraordinary piety. However, many focieties confining both of men and women under the name of Lollards, were formed in moll parts of Germany and Flanders, and were fupported partly by their manual la¬ bours, and partly by the charitable donations of pious perfons. The magillrates and inhabitants of the towns where thefe brethren and fillers refided, gave them particular marks of favour and proteflion, on account of their great ufefulnefs to the fick and needy. They were thus fupported againft their malignant rivals, and obtained many papal conftitutions by which their in- llitute was confirmed, their perfons exempted from the cognizance of the inquifitors, and fubjefled en¬ tirely to the jurifdiff ion of the bilhops; but as thefe meafures were infufficient to fecure them from mo- lefiation, Charles duke of Burgundy, in the year 1472, obtained a folemn bull from Pope Sixtus IV. ordering that the Cellites or Lollards Ihould be rank¬ ed among the religious orders, and delivered from the jurifditlion of the bilhops ; and Pope Julius II. grant¬ ed them yet greater privileges in the year 1506. Mo- Iheim informs us that many locieties of this kind are Hill fubfilling at Cologn, and in the cities of Flanders, though they have evidently departed from their ancient rules. Lollard and his followers rejefled the facrifice of the mafs, extreme un£lion, and penances for fin ; ar¬ guing, that Chrift’s fufferings were fufficient. He is likewife faid to have fet afide baptifin, as a thing of no effe£l; and repentance, as not abfolutely neceffary, &.C. L O M t Etymology of the aime. Lombard, &c.—~In England, the followers of Wickliffe were Lombards.^ called, by way of reproach, Lollards^ from fome affinity * there was between fome of their tenets ; though others are of opinion that the Englilh Lollards came from Germany. They were folemnly condemned by the archbifhop of Canterbury and the council of Oxford. LOMBARD, Peter, well known by the title of Majlerof the Sentences, was born at Novara in Lombardy} but being bred at Paris, he diftinguilhed himfelf fo much at that univerfity, that, he firft had the canonry of Chartres conferred on him, was fome time tutor to Philip fon of Louis le Gros, and laftly obtained the fee of Paris. He died in 1064. work of the Sen¬ tences is looked on as the fource of the fcholaflic theo¬ logy of the Latin church. He wrote alfo Commentaries on the Pfalms, and on St Paul’s Epiftles. LOMBARDS, a Scandinavian nation, who former¬ ly fettled in Italy, and for fome time made a confider- t able figure. Their name of Lombards, or Longobards, is by fome derived from the word lack, or lache, fignifying in the German tongue winter; becaufe the Lombards, while in Scandinavia, lived in marfhes, or near the fea. Others think that it comes from the two German words langen harden, or helleborden, that is, from the long halberts they were fuppofed to ufe in w’ar. But Paulus Dia- conus their hillorian, and who was himfelf a Lombard, 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 j but thefe are different from the Lombards who afterwards fettled in Italy, and are reckoned to be the fame with the Gepidae, whom the Italian Lombards almoft ex¬ terminated. The Lombards who fettled in Italy are firft mentioned by Profper Aquitanus, bilhop of Rhe- Vandalsde-gium in the year 379. That writer tells us, that feated by about this time the Lombards, abandoning the moft diftant coafts of the ocean, and their native country Scandinavia, and feeking for new fettlements, as they were overftocked with people at home, firft attacked and overcame the Vandals in Germany. They were then headed by two chiefs, Iboreus and Aion } who, dying about the year 389, w^ere fucceeded by Agil- mund, who is commonly reckoned the firft king of the 3 Lombards. They fettle Before the time of Odoacer, the Lombard hiftory in the coun-affords nothing remarkable} in his time, howxver, Ruhuis 6 on Danube, in the country of the * ns' Rugiaos, whom Odoacer had almoft totally extermi¬ nated or carried into captivity. During their ftay in this country, they rendered themfelves formidable to the neighbouring nations, and carried on fuccefsful wars with the Heruli and Gepidae. In 526, they were allowed by the emperor Juftinian to fettle in ^ Pannonia; and here they made war a fecond time Deftroy the with the Gepidae. Alboinus, the Lombard king, kill- Gepids. ed the king of the Gepidae with his owrn hand, put his army to the rout, and cut fuch numbers of them in pieces, that they ceafed from that time to be a nation. Having caufed the deceafed king’s head to be cut off, he made a cup of his fkull, called in the language of the Lombards fchala, which he made ufe of in all public entertainments. However, having taken, among many ether captives of great diftindlioo, the late king’s the Lom¬ bards, 67 ] L O M daughter, by name Rofamunda, he married her after Lombards, the death of his former wife Clodifvinta, the daughter '—■'V’—-' of Clotaire king of France. By this viflory Alboinus gained fuch reputation that his friendfhip wTas courted by Juftinian ; and, in confequence of the emperor’s application, a body of 6000 Lombards were fent to the affiftancc of Narfes againft the Goths. The fuccefs of the Romans in this expedition, the invafien of Italy by the Lombards, and their fucceffes in that country, have been taken notice of under the article Italy, N° 28—32. At 5 laft Alboinus, having made himfelf mailer of Venetia, Alboinus Liguria, Emilia, Hetruria, and Umbria, was ftain byk,nSof^he the treachery of his wife, in the year 575, the fourth affaffimited of his reign. This princefs was the daughter of the at the infti- king of the Gepidae, whom Alboinus had killed ingationof battle, and made a cup of his Ikull, as above related.wife• As he was one day feafting at Verona, with his chief favourites and principal officers, in the height of his mirth he fent for the queen, and, filling the detefted cup, commanded her to drink merrily with her father. Rofamund, ftruck with horror, hurried out of the room } and highly incenfed againft her hulband for thus barbaroufly triumphing over the misfortunes of her family, refolved, at all events, to make him pay dear for fuch an inhuman and affronting condutt. Accordingly, fhe difcovered her intention to Helmi- child the king’s fhield-bearer, a youth of great bold- nefs and intrepidity. Helmichild peremptorily refufed to imbrue his hands in the blood of his fovereign, or to be any way acceffory to his death} and in this re- folution he perfifted, till he was, by a lhameful ftrata- gem, forced by the queen to a compliance : for the, knowing that he carried on an intrigue with one of her ladies, placed herfelf one night in her bed, and receiving the youth, indulged him as if Ihe had been his own miftrefs in his amorous defires ; which fhe had no fooner done, than difcovering herfelf to the de¬ ceived lover, Ihe told him that he mull now either put the king to death, or be put to death by him. Hel¬ michild, well apprifed, that, after what he had done, his fafety depended upon the death of the king, engaged in the treafon, which he otherwife abhorred. One day, therefore, while Alboinus was repofing in his chamber after dinner, Helmichild, with fome others whom he had made privy to his defign, breaking in unexpeftedly, fell upon the king wdth their daggers. Alboinus Halt¬ ing up at their firft coming in, laid hold of his fword, which he had always by him } but having in vain at¬ tempted to draw it, the queen having before-hand faftened it in the fcabbard, he defended hirofelf for fome time with a footftool} but was in the end over- - powered, and defpatched with many wounds. Rofamund had promifed to Helmichild, that, as foon as he had defpatched the king, fhe would marry him, and, with her perfon, beftow upon him the king¬ dom of the Lombards. The firft part of her promife Ihe immediately performed ; but was fo far from being able to beftow the crown upon him, that both of them were obliged to fave themfelves by flight. They fled to Longinus the exarch of Ravenna, taking with them all the jewels and treafure of the late king. Longinus received her wuth the greateft marks of friendlhip and kindnefs, and affured her of his prote&ion. She had not been long in Ravenna, however, before the exarch, judging g L O M [ 168 ] L :Lombards, judoing that a favourable opportunity now offered of laws among thefe people O M iHer death. 7 "Monarchy aboli/lied. 8 Heftored. . 9 ’Written laws when firil intro¬ duced. - making himfelf king of Italy by her means, imparted his defign to her, and declared his intention to marry her, provided, by fome means or other, fhe defpatehed Helmichild.—Rofamund, highly pleafed with the pro- pofal, refolved to fatisfy her ambition by getting rid of the perfon whom fhe had married in order to gra¬ tify her revenge. Accordingly, having prepared a ftrong poifon, fhe mixed it with wane, and gave it to her hufband as he came out of the bath, and called for drink, according to his cullom. Helmichild had not half emptied the cup, when, by the hidden and ftrange operation which he felt in his bowels, he concluded what it w as ; and, with his fword pointed at the queen’s breaft, compelled her to drink the reft. The poifon had the fame effeiSl on both for they died in a few hours. Longinus, on the death of the queen, laid afide all thoughts of making himfelf king of Italy, and fent the king’s treafure to Conftantinople, together wdth Albifoinda, the daughter of Alboinus by Rofa¬ mund, whom fhe had brought alone with her. After the death of Alboinus, the Lombards chofe Clephis, one of the nobility, for their king. He was murdered after a fhort reign of 18 months ; upon which enfued an interregnum of io years, as related under the article Italy, N° 32. During this time, they extended their conquefts in that country •, but at laft the Romans, jealous of their progrefs, refolved to put a flop to their viftories, and, if poflible, to drive them quite out. For this purpofe, they defigned not only to employ their own force, but entered into alliance with the Franks; which fo alarmed the Lombards that they re-eftablifhed the monarchical form of go¬ vernment among themfelves, and chofe Autharis the fon of Clephis for their king. This monarch, confi- dering that the power of the dukes, who had governed Lombardy for the fpace of 10 years, was during that length of time very much eftabliihed, and that they would not probably be walling to part with the au¬ thority which they had fo long enjoyed, allowed them to continue in their government j but obliged them to contribute one moiety of their revenues towards the maintenance and fupport of his royal dignity, fuffer- ing them to difpofe of the other as they thought pro¬ per. He referved to himfelf the fupreme dominion and authority 5 and took an oath of the dukes, that in time of war, they would readily affift him to the utmoft of their power. Though he could remove the dukes at pleafure, yet he deprived none of them of their dukedoms, except in cafes of treafon j nor gave them to others, except when their male iffue failed. Having fettled matters in this manner with the dukes, he enadted feveral wholefome laws againft theft, ra¬ pine, murder, adultery, and other vices wdiich prevailed among his fubjedls, and was the firft of the Lombard kings who embraced Chriftianity. Moft of his fubjedls followed the example of their monarch 5 but as they were all inftrucled by Arian bilhops, they continued long infefted with that herefy •, which occafioned great difputes between them and the orthodox biftiops of the cities fubjedl to them. From the re-eftaolifhment of the monarchy under Autharis. to the reign of Rotharis in 636, the hiftory of the Lombards affords nothing memorable. This period is remarkable for the introdudlion of written Before his time they had Lombard.?, been governed only by tradition : but Rotharis, in imi- ^ tation of the Romans and Goths, undertook the pub- lifhing of written law’s ; and to thofe which he enadled, many w’ere added by the fucceeding princes. Grotius prefers the method w’hich the Lombards followed in making laws, to that which was pradlifed by the Ro¬ mans themfelves. Among the latter the emperor was the foie lawgiver j fo that whatever pleafed him had the force of a law\ But the Lombard kings did not affume that power to themfelves, fince their laws were enadled in public affemblies, convened for that purpofe, after they had been maturely examined and approved of by all the lords of the kingdom. From thefe affem¬ blies were excluded the ecclefiaftic order, and the peo¬ ple : fo that the legiflative power was lodged in the king and nobles alone. The reign of Rotharis is remarkable, not only for his introducing written laws among his fubjedls, but for the conquefts he made, and the fuccefsful wars carried on with the exarch of Ravenna, whom he totally defeated in feveral engagements, and made himfelf mafter of fome part of his territories. This monarch died in 6525 and the affairs of the Lombards went on profperoufly, till the ambition of Luitprand laid the foundation of the total ruin of his kingdom. lQ He afeended the throne of Lombardy in 711, and Luitr^imd’s watched all opportunities of enlarging his dominions at ambition, the expence of the emperor’s. Of this, a fair oppor¬ tunity offered in 716: for the emperor Leo Ifauricus, who at that time reigned in the eaft, having, by his famous edift, forbidden the worfhip of images, and ordered them to be everywhere pulled down, the people were fo provoked at that innovation, that, in feveral places, they openly revolted, and, falling up¬ on the emperor’s officers, drove them out of the cities. In the eaft, Germanus, patriarch of Conftantinople, oppofed the emperor’s defign with great warmth j but Leo caufed him to be depofed, and Anaftafius to be raifed to that fee in his room, ordering at the fame time all the images in the imperial city to be pulled down and publicly burnt. He ftri&ly enjoined his officers in the weft, efpecially the exarch of Ravenna, to fee his edi£l punftually obeyed in their refpeftive governments. In compliance with thefe orders, Scho- lafticus, then exarch, began to pull down the images in all the churches and public places in Ravenna; which incenfed the fuperftitious multitude to fuch a degree, that taking arms, they openly declared they wmuld rather renounce their allegiance to the emperor than the worftiip of images. Thus a kind of civil war being kindled in the city, Luitprand thought he had now a favourable opportu¬ nity of making himfelf mafter of the feat of the exarch, not doubting but the conqueft of fuch an important place would be followed by that of the whole ex- Xl archate. Having therefore drawn together all his He befieges forces, he unexpectedly appeared before Ravenna, and and at iait clofely befieged it. The exarch little expefted fuch atakes Ra' furprife, as a friendly correfpondence had been main¬ tained for many years between the exarchs and the Lombard kings. However, he defended the place with fuch courage and refolution, that Luitprand, defpairing of fuccefs, broke up the fiege and led his army againft Claflis, at a fmall diftance from Ravenna, which 12 Reduces the exarch¬ ate to a dukedom. L O M Lombards, which he took, plundered, and levelled ground. The lofs of this place, and the fevere treat¬ ment the inhabitants met with from the king, threw the citizens of Ravenna into the utmoft confternation ; which Luitprand being informed of, he refolved to take advantage of their fears, and, returning before Ravenna while the inhabitants were thus difheartened, to attempt once more the redudfion of that place. Accordingly he led his whole army againft it, and, by frequent attacks, tired the inhabitants and garri- fon to fuch a degree, that the exarch, finding they could hold out no longer, and defpairing of relief, privately withdrew. Luitprand, informed of his re¬ treat, attacked the town with more violence than ever j and, having carried it by ftorm, gave it to.be plunder¬ ed by his foldiers, who found in it an immenfe booty, as it had been for a long time the feat of the Roman emperors, of the Gothic kings, and the exarchs. The king ftripped it of moft of its valuable monuments of antiquity, and caufed, among the reft, an equeftrian ftatue of an emperor, of wonderful workmanftiip, to be conveyed to Pavia, where it is to be feen to this day. The redu&ion of Ravenna was followed by the furrend- er of feveral cities of the exarchate, which Luitprand re¬ duced to a dukedom ; appointing Hildebrand his grand- fon to govern it with the title of duke : and giving him, as he was yet an infant, Peredeus duke of Vicenza for his guardian. The conqueft of Ravenna and the greater part of the exarchate did not a little alarm Gregory II. bi- fhop of Rome. He was then at variance wdth the emperor, whofe edift againft the worftiipping of ima¬ ges he had oppofed with all his might, and by that means provoked Leo to fuch a degree, that he had threatened to drive him from the fee, and fend him in¬ to exile. However, the pope, no lefs jealous of the potver of the Lombards than all his predecefibrs had been, refolved, by feme means or other, to put a flop to their conquefts. The only prince in Italy to whom he could have recourfe w7as Urfus duke of Venice, the Venetians making already no inconfiderable figure. The exarch ^ ° accordingly he wrote a very preffing letter j conjuring him to aftift his worthy fon the exarch, and, for the love of the holy faith, to attempt with him the recovery of the exarchate, w'hich the wicked na¬ tion of the Lombards had unjuftly taken from his fons Leo and Conftantine emperors. Urfus and the Ve¬ netians, moved with the pope’s letter, and at the fame time greatly alarmed at the growth of fo powerful a neighbour, promifed to aflift the exarch with the w-hole flrength of their republic ; and accordingly fitted out a confiderable fleet, pretending it was defigned for thd fervice of the emperor againft the Saracens. At the fame time the exarch, who had taken refuge in Ve¬ nice, abandoning that place, as it were in ‘defpair of bringing the duke over to his party, raifed, in the places ftill fubjefl to the emperor, what forces he was able 5 and having got together a confiderable body, he marched with them towards Imola, giving out that he deligned to befiege that city 5 but turning on a hidden towards Ravenna, as had been agreed on be¬ tween him and the Venetians, he laid fiege to it by land, while they invefted it alrnoft at the iame infant by fea. Peredeus defended the town for fome time with great courage and refolution : obliging all thefe VOL. XII. Part I. [ 169 ] L O M with the who were able to bear arms to repair to the walls. affifted by the Vene¬ tians : But Lombards. the Venetians having, in fpite of all oppofition, forced v ‘ open one of the gates on the fide of the fea, the city wh0 retake was taken, and Peredeus flain, while he was attempt-Ravenna, ing, at the head of a choice body, to drive the enemy from the polls they had feized. As for Hildebrand, he fell into the hands of the Venetians j who, having thus recovered Ravenna to the emperor, returned home, leaving the exarch in poffeflion of the city. Luitprand was then at Pavia j but the town wTas taken before he could affemble his troops to relieve it. And now Gregory bifhop of Rome, to whom the recovery of Ravenna was chiefly owing, perfuading himfelf, that the emperor would, out of gratitude, give ear to his remonftrances and admonitions, began to folicit him with more prefling letters than ever to revoke his edi£l againft the worfhip of images: but Leo, well apprifed that the bifhop, in all the mea- fures he had taken, had been more influenced by a re¬ gard to his own intereft than to that of the empire, inftead of hearkening to his remonftrances, was ftill more provoked againft him for thus obftinately oppof- ing the execution of his edidl. Being, therefore, re¬ folved at all events to have it obferved in Rome itfelf, and, on the other hand, not doubting but the pope would oppofe it to the laft with all his might*, in order to remove all obftacles, he fent three officers to Rome, with private orders, either to defpatch the pope, or to take him prifoner and convey him to Conftantinople. At the fame time, he wrote to Mauritius duke of Rome, fecretly enjoining him to affift his three officers in their undertaking : but no favourable opportunity offering to put their defign in execution, the emperor, in the year 725, recalled Scholafticus, and fent Paul a patrician into Italy, to govern in his room, with pri¬ vate inftrmftions to encourage the above-mentioned of¬ ficers with the promife of great rewards, and to af- fure them of his protedlion. But, in the mean time, the plot was difeovered, and two of the confpirators were apprehended by the citizens of Rome, and put to death ■, the third having efcaped into a monaftery, where he took the monaftic habit and ended his days. Hereupon the exarch, in com¬ pliance with the emperor’s orders," refolved to proceed no longer by fecret plots, but by open force. Accord¬ ingly, be drew together a confiderable body of troops, and fet out at the head of them on his march to Rome, with a defign to feize on the pope, and fend him, as he 15 had engaged to do, in chains to Conftantinople. But, Luitprand on this occafion, Luitprand, though highly provoked t^e againft Gregory for having ftirred up the Venetians againft him, yet refolved to affift him and the citizens exarch, of Rome againft the exarch, iw order to keep the ba¬ lance even between them, and by affifting fometimes the one and fometimes the other, weaken both. Purfuant to this refolution, he ordered the Lombards of Tuf- cany, and thofe of the dukedom of Spoletto, to join the pope and the inhabitants of Rome ; who, being by this reinforcement far fuperior in ftrength and num¬ ber to the exarch, obliged him to return to Ravenna, and give over all thoughts of any further attempt on the perfon of the pope. In the mean time, Leo, perfifting in his former re¬ folution of fuppreffing throughout his dominions the worfhip of images, fent frelh orders to the exarch Y Paul. L O M [ 170 ] L O M lombards. Paul, rlriftly enjoining him to caufe his edi6l to be put * 'r in execution in all the cities of Italy under his empire, efpecially in Rome. At the fame time, he wrote to the pope, promifing him his favour and proteftion if he complied with the edi£l; and declaring him, if he con¬ tinued to oppofe it, a rebel, and no longer vefled with the papal dignity. But Gregory was fo far from yielding to the emperor’s threats, or promifes, that, on the contrary, he folemnly excommunicated the exarch for attempting to put the imperial ediff in execution : and at the fame time wrote circular letters to the Ve¬ netians, to King Luitprand, to the Lombard dukes, and to all the chief cities of the empire, exhorting them to continue ftedfaft in the Catholic faith, and to oppofe with all their might fuch a deteftable innova¬ tion. rI hefe letters made fuch an impreffion on the minds of the people in Italy, that though of different intereds, and often at war with one another, they all united j protefling they wrould defend the Catholic faith, and the life of the pope, in fo glorious a caufe, at the expence of their own $ nay, the citizens of 1 Rome, and the inhabitants of Pentapolis, now Marca d’Ancona, not contenting themfelves wdth fuch a pro- teflation, openly revolted from the emperor ; and, pulling down his ffatues, they eledled, by their own authority, mpgiilrates to govern them during the in¬ terregnum. We are even told, that, tranfported with a blind zeal, they wTere for choofing a new emperor, and conducing him to Conftantinople, not doubting but the people would everywhere join them. But the pope, thinking this refolution unfeafonable, and not to be eafily put in execution, oppofed it j fo that it did not take place. In the mean time, the exarch Paul, having gained a confiderable party in Ravenna, began, purfuant to the repeated orders from the emperor, to remove the images, as fo many idols, out of the churches. Here- 16 upon the adverfe party, fupported and encouraged by A civil wa! the pope, flew to arms: and, falling upon the icono- dojis, or image-breakers, as they ftyled them, gave rife to a civil war within the walls of Ravenna. Great num¬ bers were killed on both fides : but thofe who were for the w'orfliip of imr^es prevailing in the end, a dread¬ ful daughter was made of the oppofite party y and, among the reft, the exarch himfelf wras murdered. However, the city of Ravenna continued faithful to the emperor j but moft of the cities of Romagna be¬ longing to the exarchate, and all thofe of Pentapolis or La Marca d’Ancona, abhorring the emperor as an heretic, fubmitted to Luitprand king of the Lombards j who, pretending a zeal for the Catholic religion, took care to improve the difcontent of the people to his advantage, by reprefenting to them, that they could never maintain their religious rights under a prince, who was not only an heretic, but a perfecutor of the orthodox. In Naples, Exhilaratus, duke of that city, having received peremptory orders from the emperor to caufe his edift to be put in execution, did all that hiy in his power to perfuade the people to receive it 5 but find¬ ing all his endeavours thwarted by the biihop of Rome, for whom the Neapolitans had a great veneration, he hired affaffins to murder him. But the plot being dif- cevered, though carried on wdth great fecrecy, the Neapolitans, highly provoked againft the duke, tore both him and his fon to pieces, and likewife put to death one of his chief officers, w’ho had compofed a libel againft the pope. Luitprand, and Gregory at that time duke of Benevento, laying hold of fo fa- vourable an opportunity to make themfelves mafters of the dukedom of Naples, did all that lay in their power to perfuade the Neapolitans to fubmit to them. But the Neapolitans, bearing an irreconcilable ha¬ tred to the Lombards, with whom they had been con- ftantly at variance, rejedted every overture of that na¬ ture with the utmoft indignation; and, continuing ftedfaft in their allegiance to Leo, received from Con- ftantinople one Peter, wdio was fent to govern them in the room of Exhilaratus. Some writers fuppofe the Neapolitans, in this general revolt of the cities of Italy, to have fhaken off the yoke with the reft, and to have appointed magiftrates of their own eledlion to govern them, in the room of the officers hitherto fent from Conftantinople, or named by the exarch : but they are certainly miftaken ; it being manifeft from hiftory, that Peter fucceeded Exhilaratus in that dukedom, and that the Neapolitans continued to live under the emperors, till they were conquered many years after by the Normans. In the mean time, Leo hearing of the murder of the exarch, and the general revolt of the cities, and not doubting but the pope was the chief author of fo much mifehief, fent the eunuch Eutychius into Italy, with the title and authority of exarch, ftriftly enjoining him to get the pope defpatched by fome means or other, fmee his death was abfolutely neceffary for the tranquillity of Italy. The exarch fpared no pains to get the pope into his power : but a meffenger, whom he had fent to Rome, being apprehended by the citi¬ zens, and an order from the emperor being found up¬ on him to all his officers in that city, commanding them to put the pope to death at all events, the pope’s friends thenceforth guarded him with fuch care, that the exarch’s emiffaries could never afterwards find an opportunity of executing their defign. As for the mef¬ fenger, the Romans were for putting him to death ; but the pope interpofed, contenting himfelf with ex¬ communicating the exarch.. And now the Romans, provoked more than ever againft Leo, and, on the other hand, unwilling to live under the Lombards, refolved to revolt from the emperor, and appoint their own magiftrates, keeping themfelves united under the pope, not yet as their prince, but only as their head. This they did ac¬ cordingly ; and from thefe (lender beginnings the fo- vereignty of the popes in Italy took its rife, though they did not then, as is commonly fuppofed by hifto- rians, but many years after, become fovereign lords of Rome. Eutychius failed in his defign upon the life of the pope 5 but having brought with him from Conftantin¬ ople a good number of troops, he eafily quelled the rebellion in Ravenna, and feverely punilhed the au¬ thors of the late difturbances. As for the rebellious Romans, he was well apprifed he could never reduce them, fo long as they were fupported by the king of the Lombards $ and therefore he employed all his art and policy to take oft that prince from the party of the Romans, and bring hirn over to his own. Luitprand, for fome time, withftopd all his offers; but i3 Luitprand concludes an alliance with the exarch. 19 The pope fubmits to Luitprand. L O M [ 17 Lombaids. bdt Thrafimund duke of Spoletto revolting at this very junfture, the exarch, laying hold of that opportuni¬ ty, offered to affuf the king with all his ftrength a- gainft the rebellious duke, provided he would, in like manner, affift him againft the pope and the Romans. With this propofal Luitprand readily clofed j and a league being concluded upon thefe terms between him and the exarch, the two armies joined, and began their march towards Spoletto. At their approach, the duke, defpairing of being able to reiift two fuch powers, came out with a fmall attendance to meet them, and, throwing himfelf at the king’s feet, fued, in that humble poiture, for pardon ; which Luitprand not only granted him, but confirmed him in the duke¬ dom, after he had obliged him to take a new oath of allegiance, and give hoftages for his fidelity in time to come. From Spoletto, the two armies marched, in purfuance of the treaty, to Rome } and encamped in the meadows of Nero, between the liber and the Vatican. Gregory had caufed the city of Rome to be fortified in the bell manner he could j but being fenfible that the Romans alone could not long hold out againft two fuch armies, and reflefting on the kind treatment the duke of Spoletto had met with upon his fubmitting to the king, he refolved to follow his example : and ac¬ cordingly, taking with him fome of the clergy, and the principal inhabitants of the city, he went to wait on the king in his camp ; and there, with a pathetic fpeech, as he was a great mafter of eloquence, foften- ed Luitprand to fuch a degree, that, throwing him¬ felf at his feet in the prefence of the whole army, he begged pardon for entering into an alliance againft him : and, affuring him of his proteftion for the fu¬ ture, he went with them to the church of St Peter ; and there, difarming himfelf in the prefence of his chief officers, he laid his girdle, his fword, and his gauntlet, with his royal mantle, his crown of gold, and crofs of filver, on the apoftle’s fepulchre. After this, he reconciled the pope with the exarch, who was thereupon received into the city, where he continued for fome time, maintaining a friendly correfpondence with the pope. At th?s time an impoftor, taking the name of Tiberius, and pretending to be defeended from the emperors, feduced a great many people in ,luf- cany, and was by them proclaimed emperor. The exarch, refblved to march againft him ; but as he had not fufficient forces to oppofe the rebels, Gregory, who let no opportunity flip of obliging Leo, perfuaded the Romans to attend the exarch in this expedition •, by which means the ufurper being taken in a caftle, his head was fent to the emperor, and the rebellion utter¬ ly fuppreffed. But the emperor ftill infilling upon his edi£t againft the images being received in Rome, the Romans, at the inftigation of the pope, publicly re¬ nounced their allegiance to Leo, paid him no more tribute, and withdrew for ever their obedience to the emperors of the Eaft. Leo, informed of this revolt, and not queftioning but the pope was the author of it, immediately caufed all the patrimonies of the church of Rome ^in Sicily, Calabria, and his other dominions, to be confifcated. At the fame time, he ordered a powerful army to be raifed, with a defign to recover the towns that had re¬ volted ; to chaftife the Romans for their rebellion 5 and, 560 The empe¬ ror feizes the domi¬ nions of the pope. i ] L O M above all, to he revenged on the pope, who had raif- Lombard-. ed all thefe difturbances, by himlelf oppofing, and perfuading others to oppofe, the execution of his e- dich Gregory, alarmed at the warlike preparations that were carrying on throughout the empire, and well apprifed that they were chiefly defigned againft him and the Romans, refolved to recur to the pro- teftion of the French, the only nation at that time capable of coping with the emperor, and on. whom, on account of their zeal for religion, he thought he might depend. The Lombards were then very power¬ ful ; but, as they wanted to be mafters of Rome, he did not think it advifable to truft them. The Ve¬ netians, though zealous in the defence of the pope, were not yet in a condition to withlland the power of the emperor •, and, befides, were jealous of the Lom¬ bards, who watched all opportunities of enlarging their dominions at the expence of their neighbours. As for Spain, it wras then in a moft deplorable condi¬ tion, being overrun, and almoft w’holly ruined, by the Saracens. 21 The French nation wTas at this time governed by Who ap- the celebrated Charles Martel, who had diftinguiftied P^to the himfelf in a moft eminent manner in the wars ox' France and Germany ; and had, not long before, gained a fignal victory over the Saracens in the neigh¬ bourhood of Tours ; whence he was generally reput¬ ed the beft commander, and the greateft hero, of his time. To him, therefore, Gregory fent a folemn em- baffy, with a great number of relics, earneftly en¬ treating him to take the Romans, and the church, un¬ der his proteftion, and defend them againft the at¬ tempts of Leo. The ambaffadors were received with extraordinary marks of honour j and a treaty was foon concluded between them and Charles, wTho engaged to march into Italy in perfon, at the head of a power¬ ful army, in defence of the Romans and the church, if they fhould be attacked either by the emperor 01 the Lombards. On the other hand, the Romans were to acknowledge him for their proteftor, and confer on him the honour of the confulfhip, as it had been for¬ merly conferred on Clovis by the emperor Anaftaiius, after that prince had defeated the Vifigoths. The am¬ baffadors returned from France loaded wnth rich pre- fents. But Gregory did not long enjoy the fruit of their negociations j for he died the fame year 73 L and was fucceeded by Gregory III. in whofe time fome place the above-mentioned embaffy. The French nation was at this time juft recovered End of the from its diftreffed fituation under the defeendants of1 °mt>ard Clovis } and by the bravery and conduft of Charlesm0narc Martel, had become the moft powerful kingdom in the weft. His fucceffor 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 aflift- ing the pope, at laft put an end to the empire of Lombardy, as related under the article France, N° 21, 22. 33 The Lombards wjere at firft a cruel and barbarous Charatfter, nation; but divefting themfelves by degrees of their of the native fiercenefs and barbarity, efpecially after they Lombards, had embraced the Chriftian religion, they governed with fuch equity and moderation, that moft other na- Y 2 tions Lombart 41 J-och- Lomond. L O M [ i 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 difpofTefied of his property, none opprefied with taxes j theft, robberies, murder, and adultery, were feldom heard of: every one wrent, without the Jeaft 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 moft part of linen, fuch as the Anglo-Saxons wore, being inter¬ woven with various colours; that their fhoes 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 fhaved 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. LOME ART, or Lombard, Peter, an engraver of conliderable eminence, who flouriihed about the year 1660. He was a native of Paris, where he learn¬ ed the art of engraving. It appears that he came to England before the revolution, becaufe fome of his plates for Engliih publications are dated prior to that event. He executed a vaft variety of plates, as well hiftorical as emblematical ; which, however, were chiefly for books. But his beft works are portraits ; and of thefe he produced a confiderable number, wdiich are efteemed. They are moftly after Vandyck.—He alfo engraved hiftorical fubjedls, from Pouflin, Raphael, Annibal Carracci, Guido, and other mafters. LOMENTACE^E, in Botany, (from lomentum, a colour ufed by painters), the name of the 33d order in Linnaeus’s Fragments of a Natural Method, con- fifting of the following genera, many of which furnith beautiful tin&ures that are ufed in dyeing, viz. ade- nanthera, bauhinia, caefalpina, caflia, ceratonia, cercis, gleditfia, guilandina, haematoxylon, hymenaea, mimofa, parkinfonia, poinciana, polygama. See Botany. Loch-LOMOND, a large lake of Dunbarton or Lennox-lhire in Scotland, of which Mr Pennant gives the following defcription. “ Loch-Lomond, the laft, the moft beautiful of the Caledonian lakes. The firft view of it from Tarbet prefents an extenfive ferpentine winding amidft lofty hills ; on the north, barren, black, and rocky, which darken with their Ihade that contradfted part of the w’ater. On the weft fide, the mountains are clothed near the bottoms with woods of oak quite to the water edge ; their fummits lofty, naked, and craggy. On the eaft fide, the mountains are equally high; but the tops form a more even ridge parallel to the lake, except where Ben-Lomond, like Saul amidft his companions, overtops the reft. The upper parts were black and barren ; the lower had great marks of fertility, or at leaft of induftry, for the yellow corn was finely contrafted with the verdure of the groves intermixed with it. “ This eaftern boundary is part of the Grampian hills, wThich extend from hence through the counties of Perth, Angus, Mearns, and Aberdeen. The road runs fometimes through woods 5 at others is expofed and haked ; in fome, fo fteep as to require the fupport of a wall; the whole the work of the foldiery : blefied exchange of inltrumeots of deftru&ion, for thofe that 72 ] L O M give fafety to the traveller, and a poli!h to the once Loch- inacceffible native ! Two great headlands covered with trees feparate the firft fcene from one totally different: Lomo‘!ozof; 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 and corn : 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 fcattered either over a fine verdure or the purple bloom of the heath. Numbers of iflands 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 j and num¬ bers are fo difpofed as to form magnificent viftos be¬ tween. “ Oppofite Lufs, at a fmall diftance from ihore, is a mountainous ifle almoft covered with wood ; it is near half a mile long, and has a moft fine effeft. I could not count the number of iflands, but was told there are 28 ; the largeft two miles long, and ftocked with deer. “ The length of this charming lake is 24 miles j its greateft breadth 8 ; its greateft depth, which is be¬ tween the point of Firkin and Benlomond, is 1 20 fa- thonis. Befides the fifti common to the lochs are gui- niads, called here poans. “ The furface of Loch-lomond has for feveral years paft been obferved gradually to increafe, and invade the adjacent fliore: and there is reafon to fuppofe that churches, houfes, and other buildings, have been loft in the water. Near Lufs is a large heap of ftones at a diftance from the ftiore, known by the name of the old church j and about a mile to the fouth of that, in the middle of a large bay, between Camftraddan and the ifle Inch-tavanack, is another heap, faid to have been the ruins of a houfe. To confirm this, it is evident by a paffage in Camden’s Atlas Britannica, that an ifland, exiiling in his time, is now loft 5 for he fpeaks of the ifle of Camftraddan, placed between the lands of the fame name and Inch-tavanack, in which, adds he, was an houfe and orchard. Befides this proof, large trees wfith their branches ftill ad¬ hering are frequently found in the mud near the ftiore, overwhelmed in former times by the increafe of water. This is fuppofed to be occafioned by the vaft quanti¬ ties of ftone 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, a celebrated Ruflian poet, the great refiner of his native tongue, was the fon of a dealer in fifti at Kolmogori : he was born in 1711, and was fortunately taught to read 5 a rare circumftance at that time for a perfon of his ftation in Ruflia. His natural genius for poetry was firft kindled by the pe- rufal of the Song of Solomon, done into verfe by Po- lotlki, whofe rude compofitions, perhaps fcarcely fu- perior to our verfion of the pfalms by Sternhold and Hopkins, infpired him with fuch an irrefiftible paflion for the mufes, that he fled from his father, who was defifous of compelling him to marry, and took refuge in the Kaikonofpalki monaftery at Mofcovv y there he had L O M Lomonozof. had an opportunity of indulging his tafte for letters, ' y and of ftudying the Greek and Latin languages. In this feminary he made fo confiderable progrefs in po¬ lite literature, as to be noticed and employed by the Imperial Academy of Sciences. In 1736 he was fent at the expence of that fociety, to the univerfity of Marpurg in Heffe Caffel, where he became a fcholar of the celebrated Chriftian Wolf, under whom he ftudi- ed univerfal grammar, rhetoric, and philofophy. He continued at Marpurg four years, during which time he applied himfelf with indefatigable diligence to che- miftry, which he afterwards purfued with Hill greater fuccefs under the famous Henckel at Frey berg in Saxony. In 1741 he returned into Ruflia 5 was cho- fen in 1742 adjunft to the Imperial Academy } and in the enfuing year member of that fociety and profeflbr of chemiftry. In 1760 he was appointed infpeftor of the feminary then annexed to the academy ; in 1764 he was gratified by the late emprefs wdth the title of counfellor of Hate } and died April 4th that year, in the 54th year of his age. Lomonozof excelled in va¬ rious kinds of compofition : but his chief merit, by which he bears the firft rank among the Ruffian writ¬ ers, is derived from his poetical compofitions, the fineft of which are his odes. The firft wTas written in 1739, while he ftudied in Germany, upon the taking of Kotfchin, a fortrefs in Grim Tartary, by Marffial Munich. The odes of Lomonozof are greatly ad¬ mired for originality of invention, fublimity ot fenti- ment, and energy of language *, and compenfate for the turgid ftyle which, in fome inftances, has been im¬ puted to them, by that fpirit and fire which are the principal charafteriftics in this fpecies of compofition. Pindar was his great model •, and if wTe may 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¬ pofition, he enriched his native language with various kinds of metre, and feems to have merited the appel¬ lation beftowed upon him of the Father of Rujjian Poe¬ try. A brief recapitulation of the principal works of Lomonozof, which were printed in three volumes oc¬ tavo, will ferve to ftiow the verfatility of his genius, and his extenfive knowledge in various branches of li¬ terature. The firft volume, befides a Preface on the advantages derived to the Ruffian tongue from the ec- clefiaftical writings, contains ten facred and nineteen panegyric odes, and feveral occafional pieces of poetry. The fecond comprifes An Eifay in Profe on the Rules for Ruffian Poetry ; Tranflation of a German Ode j Idylls •, Tamira and Selim, a tragedy } Demophoon, a tragedy •, Poetical Epiftle on the Utility of Glafs •, two cantos of an epic poem, entitled, Peter the Great •, A Congratulatory Copy of Verfes •, An Ode ; JTranfiation of Baptift Rouffeau’s Ode Sur le Bonheur ; Heads of a Courfe of Leftures on Natural Philofophy j certain paflages tranflated in verfe and profe, according to the original, from Cicero, Erafmus, Lucian, ./Elian, Am- nranus Marcellinus, Quintus Curtius, Homer, Virgil, Martial, Ovid, Horace, and Seneca, which Ruffian tranflations were brought as examples in his Le&ures upon Rhetoric ; laftly, Defcription of the Comet which appeared in 1744. The third volume confitls chiefly of Speeches and Treatifes read before the Academy } LON Panegyric on the Emprefs Elizabeth j on Peter the London. , Great; Treatife on the Advantages of Chemiftry ; on the Phenomena of the Air occafioned by the Eleflri- cal Fire, with a Latin tranflation of the fame j on the Origin of Light as a new Theory of Colours j Me¬ thods to determine with precifion the Courfe of a Veflel $ on the origin of Metals by the means of Earthquakes j Latin Dilfertation on Solidity and Fluidity j on the Tranfit of Venus in 1761, with a German tranflation. Befides thefe various fubjects, Lomonozof made no in- confiderable figure in hiftory, having publilhed 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 fecond is, the Ancient Hiffory of Ruflia, 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- luft rates the moft difficult and obfcure 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 cities in the world, is fituated on the river Thames, in 51° 31' north latitude, 400 miles fouth of Edinburgh, and 270 fouth-eaft of Dub¬ lin j 180 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, 850 north-eaft of Lilbon, 1360 north-weft of Conftantinople, and 1414 fouth-weft of Mofcow. , This city w^as by the Romans firft called Londinium its different; ox Lundinum, as we find it in Tacitus, Ptolemy, An-names, toninus, and Ammianus. That name was afterwards changed into Augufla ; in honour, as fome fay, of He¬ lena 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 Augufa; and fome imagine that the honourable ap¬ pellation of Augufa 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 Britilh province. How long the name of Augufa prevailed, is not now certainly known; but after the eftabliffiment of the Saxons w'e find no more mention of Augufta. It wras then called Caer Lun- dain, Lundoun Bi/rig, Lunden Ceafer, Lunden-wyey Lundenne, Lunden-berh or Lundenburg ; fince the con- queft the records call it Londinia, Lundonia, Londine, Londres; and, for feveral ages part, 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 Britiftr words Ihong, “ a Ihip,” and din, “ a town,” i. e. a town or harbour for (hips } or from Lhn “ a lake,” i. e. Lhn din, “ the town upon the lake,” the Surry fide being fuppofed, upon very probable grounds, to have been anciently a great expanfe of water. Londinium, however, was not the primitive name of When this famous place, which exifted before the invafion of Landed, the Romans j being, at the time of Csefar’s arrival in the ifland, the capital of the Trinobantes or Trinou- antes. The name of this nation, as appears from Bax¬ ter’s Britifh Gloffary *, was derived from the three * p> ^ following Britifti words, tn, nou, hant, which fignify the “ inhabitants of the new city.” This name, it is fuppofed, , [ 173 1 I.onclon. Henry's Hill vol. p. 171. 3 When ta¬ ken poffef- iion of by the Ro- LON [ 1 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 a city called tri-now, or the “ new city 5” the mod an¬ cient name of the renowned metropolis of Britain. The Trinobantes had come fo lately from Belgium, that they feem fcarcely to have been firmly eifablilhed in Britain at the time of the firft Roman invafion : For their new city, which foon after became fo famous, was then fo inconfiderable, that it is not mentioned by Cae- far, though he mull have been within fight of the place where it was fituated. His filence about this place, in¬ deed, is brought as a proof that he did not crofs the 1 hames 5 while Norden by the jirmijjima civitas of the irinobantes underftands the city in queftion, the Tri¬ nobantes themfelves having been among the firft of the Britilh ftates who fubmitted to that conqueror. By Ptolemy, and fome other ancient writers of good authority, indeed, Londinium is placed in Cantium, or Cent, on the fouth fide of the Thames 5 and it is the opinion of fome moderns, that the Romans pro¬ bably had a ftation there, to fecure their conquells 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 be¬ tween Lambeth and Southwark, wrhere many Roman coins, bricks, and checquered pavements, have been found. Three Roman ways from Kent, Surry, and Middlefex, interfered each other in this place j this therefore is fuppofed to be the original Londinium, which it is thought became negledled after the Ro¬ mans reduced the Trinobantes, and fettled on the other fide of the Thames; and the name w7as transferred to the new city. I he fituation of this city, as Mr Pennant obferves, was juft fuch as the people would fele£l; according to the rule eftablilhed 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 wdth various ipecies of beafts of chafe. It was defended naturally by folfes ; one formed by the creek which run along 1 leet-ditch, the other afterwards known by that of W allbrook j the fouth fide was guarded by the Thames; the north they might think fufficiently protected by the adjacent foreft. I he Romans poffefled themfelves of London, on their fecond invafion in the reign of Claudius, about 105 years after their firft under Caefar. They had be¬ gun with Camelodunum, the prefent Maldon in Effex; and having taken it, planted there a colony confiding of veterans of the 14th legion. London and Verulam were next taken poffeflion of about one and the fame time. Camelodunum w:as made a colonia or place go¬ verned entirely by Roman laws and cuftoms ; Verulam (on the fite of which St Alban’s now Hands), a muni- cipium, in which the natives wrere honouied w-ith the privileges of Roman citizens, and enjoyed their own laws and conftitutions ; and Londinium only a preefec- tura, the inhabitants, a mixture of Romans and Britons, being fuffered to enjoy no more than the name of citi¬ zens of Rome, being governed by praefedls fent annu¬ ally from thence, without having either their owm law^s •or magiftrates. “ It was even then of fuch concourfe (fays Mr Pennant), and fuch vaft trade, that the wife 74 ] LON conquerors did not think fit to truft the inhabitants London, with the fame privileges as other places of which they v*—^ 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 affedions of thofe Britons who had already fubmitted to their authority, made London equally a municipium or free city with Verulamium, as may be feen by referring to Aulus Gellius, lib. xvi. c. 13. and to Spanhem. orbis Roman, tom ij. p. 37, 38. It is difficult to fay what w^ere the particular articles Anci™t of commerce exported from and imported into the commerce port of London at this period. The imports and ex-of London, ports of the ifland in general wre know : Strabo lays, “ Britain produceth corn, cattle, gold, filver, iron j befides which, Ikins, flaves, and dogs, naturally excel¬ lent hunters, are exported from that iiland.” It is probable that the two firft and three laft articles were exported from London ; and perhaps, too, the gagates or jet-ftone mentioned by Solinus as one of the pro- duftions of Britain, together with horfes, were export¬ ed from thence. The imports were at firft fait, earthen ware, and works in brafs, poliffied bits of bones emu¬ lating ivory, horfe collars, toys of amber, glaffes, 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 few'er than feven of the four¬ teen itinera of Antoninus begin or end at Lon¬ don ; which tends to corroborate the many proofs which might be adduced, that this city was the capital of Britain in the Roman times. At firft London had no w^alls or other fortifications wTien fHt to defend it, and was therefore expofed to the attacks furrounded of every enemy : and thus it fuffered feverely about the with walls, year 64, being burnt by the Britons under Boadicea, and all the inhabitants maffacred. But it w!as foon reftored by the Romans ; and increafed fo much, that in the reign of the emperor Severus it is called by He- rodian a great and wealthy city. It continued, however, in a defencelefs ft ate for more than a century after this laft period ; when at laft a w7all of hewn ftone and Bri- tifti bricks wras 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 Theodofius governor of Britain in 369. Dr Woodward, with more probabi¬ lity, fuppofes them to have been founded under the aufpices of Conftantine the Great ; and this feems to be confirmed by the numbers of coins of that empe¬ ror’s mother Helena, which have been difeovered un¬ der them, placed there by him in compliment to her. The fame emperor made it a biffiop’s fee ; for it ap¬ pears that the bilhops of London and York, and ano¬ ther Englilh bifhop, were at the council of Arles in the year 314: he alfo fettled a mint in it, as is plain from 6 fome of his coins. The ancient courfe of the wrall Their an- was as follows : It began with a fort near the prefent ^ fite of the Tower, was continued along the Minories, * ’ and the back of Houndfditch, acrofs Biihopfgate- ftreet, in a ftraight line by London-wall to Cripple- gate ; then returned fouthward by Crowder’s Well alley London. LON [ 1 alley (where feveral remnants of lofty towers wrere > lately to be feen), to Alderfgate, thence along the back of Bull-and-Mouth-llreet to Newgate, and again along the back of the houfes in the Old Bailey to Ludgate ; foon after which, it probably finifhed w*ith another fort, where the houfe, late the king’s print¬ ing houfe, in Black Friars, now Hands : from hence 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 circumference, guarded at proper diftances on the land fide wfith fifteen lofty towers j fome of them were re¬ maining within thefe few years, and poflibly may ftill. Maitland mentions one twenty-fix feet high, near Gra¬ vel-lane, on the wTeft fide of Houndfditch j another, about eighty paces fouth-eaft towards Aldgate •, and the bafes of another, fupporting a modern houfe, at the lower end of the ftreet called the Vinegar yard, fouth of Aldgate. The walls, when perfect, are fup- pofed to have been twenty-two feet high, the tow'ers forty. Thefe, wfith the remnants of the wTall, proved the Roman ftruflure, by the titles and difpofition of the mafonry. London-wall, near Moorfields, is now the moft entire part left of that ancient precinft. The gates w'hich received the great military roads, were four. The Praetorian way, the Saxon Watling-ftreet, pailed under one, on the fite of the late Newgate j veftiges having been difeovered of the road in digging above Holburn-bridge : it turned down to Dowgate, or more properly Dwr-gate or Water-gate, w’here there was a trajeflus or ferry, to join it to the Wat¬ ling-ftreet, wTich was continued to Dover. The Her- min-ftreet paffed under Cripplegate j and a vicinal wray w’ent under Aldgate by Bethnal-green, towards Old- ford, a pafs over the river Lee to Duroleiton, the modern Leiton in Effex. After the Romans deferred Britain, a new and fierce e fucceeded. The Saxons, under their leaders the Saxons. Hengift and Horfa, landed in 448, having been invit¬ ed over by the provincials as auxiliaries againft the Scots and Pidfs ; 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 5 and became the chief city of the Saxon kingdom in Eftex. 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 portgf-ave, or portreve, (for we find him called 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 pow7er of Egbert, Lon¬ don became the metropolis of England, which it has ever fince continued. During the invafions of the Danes, London fuffered greatly. Ip 849, thefe invaders entered the Thames with 2co {hips, 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- 7 London fubmits to Plundered by the Danes. 75 1 LON ftroy every thing that had efcaped their barbarity in London, the former expedition. At this time, however, they ~v w'ere difappointed ; moft of their troops being cut in pieces by King Ethelwolf and his fon Athelbald 5 yet Juch was the deftruflion made by thofe barbarians at London, that it fuffered more from thefe tw’O incur- fions than ever it had done before. 9 In the reign of King Alfred the Great, London be-Recovers gan to recover from its former ruinous ftate. He re- built its walls, drove out the Danifh inhabitants w'ho Qreat, had fettled there, reftored the city to its former liberties and beauty, and committed the care of it to his fon- in-lawr, Ethelred duke of Mercia, in hopes that this might always be a place of fecure retreat within its ftrong walls, whatever might happen from a foreign or domeftic enemy. In 893, however, he had the mor- IO tification to fee his capital totally reduced to afhes by Reduced an accidental fire, which could not be extinguiflied, as to alhes. the houfes at that time w7ere all built of wood. The walls, however, being conftrufted of incombuftible ma¬ terials, continued to afford the fame protection as be¬ fore ; the houfes 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 „ {heriff, the nature of which office made it neceffary tolls govern- have it alfo in London ; fo that here we have the glim- ment fet- merings of the order of magiftrates afterwards fettled tie^‘ 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 diftinguiftied, which, being placed at the head of each ward or pre- cin£i, w7ere analogous to the more modern title of al¬ dermen and common-council men. r, Alfred having fettled the affairs of England in the Erick and moft: prudent manner, direfted his attention to the or- (tone namenting, as much as poftible, the city of London, houfes firft For this purpofe, he fpirited up the Englilh. to an emu-ere<^e^‘ lation in building their houfes of ftronger and more durable materials than formerly. At that time their houfes were moftly of wood ; and an houfe built of any other materials was looked upon as a kind of won¬ der. But Alfred having begun to raife his palaces of ftone and brick, the opulent Londoners, and the no¬ bility refident in and about London, followed the ex¬ ample, though the cuftom did not come into general ufe till fome ages after. ^ In 1015, a foreign enemy again appeared before Befieged by London. Canute king of Denmark having invaded Canute, and plundered the counties of Dorfet, Somerfet, and Wilts, failed up the Thames w7ith 200 {hips, and laid fiege to the city. The citizens continued faithful, nct- withftanding the defedfion of the greateft part of the kingdom ; and made fuch a brave refiftance, that Ca¬ nute thought fit to withdraw his army, leaving only his fleet to blockade the city by water, that when he found a fair opportunity he might renew the fiege with better fuccefs. At laft, how7everj being defeated in feveral battles by Edmund Ironfide, he was obliged to call off his {hips to cover his own army in cafe of neceffity. In the compromife, however, which was afterwards made between Edmund and Canute, the city of London w7as given to the latter, and owned him for its lawful fovereign. We have a ftrong proof of the opulence of London even at this time, from the tax laid upon; London. H Sends re- prefenta- tives to par¬ liament. IS Suffers greatly by "fires, hurri¬ canes, &c. t6 Monftrous licentiouf- nefs of the iN organs. LON [ i upon it by Canute in order to pay his artny j this be¬ ing no lefs than 10,500!. while the reft of the nation was at the fame time taxed only at 72,000!. In 1046, we have the firft inftance of the London¬ ers fending reprefentatives to parliament. This hap¬ pened on fettling the fucceflion to the throne after Ca¬ nute’s death. The Englilh in general declared for Ed¬ ward fon of King Ethelred ; or, if that could not be carried, for Hardicanute, fon of Canute by Queen Emma, and then abfent on a tour to Denmark. The city of London efpoufed the claim and intereft of Ha¬ rold Harefoot, fon alfo of Canute, by Queen Elgiva of Northampton. Edward’s party foon declined *, and the Londoners agreed, for the peace of the realm, that the two brothers ftiould divide the kingdom between them ; but as Hardicanute did not return in proper time to England, a voittena-gemote rvas held at Ox¬ ford, where Earl Leofric, and moft of the thanes on the north of the Thames, with the pilots of London, chofe Harold for their king. Here, by pilots we are to underftand the directors, magiftrates, or leading men of the city : and this manifeftly (hows, that Lon¬ don was then of fuch confequence, that no important national affair was tranfafled without the confent of the inhabitants', for the Saxon annals affure us, that none were admitted into this affembly of election but the nobility and the pilots of London. On the invafion of the Normans under William I. London fubmitted as well as the reft of the kingdom $ and received two charters from that prince, confirm¬ ing all the privileges they had under the Saxon kings, and adding feveral new ones. But w’hile the citizens were promifing themfelves all manner of feeurity and tranquillity under the new government, it was almoft entirely reduced to allies by an accidental fire in 1077. It had" fcarce recovered from this calamity, when it was vilited by another of the fame kind in 1086, wdiich began at Ludgate and deftroyed the belt and moft opulent part of the city ', confuming, among other build¬ ings, the cathedral of St Paul’s j wdiich, however, was foon rebuilt more magnificently than before. Under the reign of William Rufus, London fuffered confider- ably by fires, hurricanes, and inundations, and feems to have been depreffed by the tyranny of that prince j but Henry I. granted large immunities to the city, which again revived its trade, and was favourable to the progrefs of the arts. The king, howTever, ftill re¬ tained the privilege of appointing the portreve, or chief magiftrate •, but the immunities granted to the Londoners fecured their affe&ions, and tended much to fecure him on the throne. At the fame time, there was fuch a plenty of all kinds of provifions, that as much corn w’as fold for is. as would fuffice 100 people for a day j 4d. would purchafe as much hay and corn as would maintain 20 horfes for a day \ and a fheep could be bought for a groat. Henry thought proper alfo to check the licentious behaviour of the Normans, which, by the favour {bowed them under the tw’O Williams, bad carried them into the moft barbarous praftices. Thofe who followed William Rufus in his excurfions, haraffed and plundered the country at difcretion. Many of them were fo extravagant in their barbarity, that what they could not eat or drink in their quarters, they ei¬ ther obliged the people to carry to market and fell 3 76 ] LON for their ufe, or elfe they would throw it into the fire : and, at their going off, they frequently waftied their ^ horfes heels with the drink, and ftaved the calks con¬ taining the remainder. King Henry refolved to put a flop to thefe exceffes and favage cuftoms; and there¬ fore published a proclamation at London, commanding that thenceforward all perfons who ftiould be convidled of inch barbarities fttould have their eyes pulled out, or their hands or feet cut off, as the minifters of juftice fhould think fit. This effe&ually checked the info- lence of the Normans, and the city continued to flou- rilh throughout the reigns of Henry I. and Stephen. The attachment of the citizens to Stephen, however, was a crime which never could be forgiven by Henry II. and, of confequence, he made them fenfible of his dif- pleafure, by making frequent demands of money from them. About this time, indeed, the Londoners were London. *7 arrived at fuch a pitch of licentioufnefs, that their pro-Londoners, fperity feemed a curfe rather than a bleffmg. The fons of the moft eminent and wealthy citizens entered into a confederacy to commit burglaries, and to rob and murder all that came in their way in the night¬ time. The king took an opportunity from thefe irre¬ gularities to enrich himfelf. He demanded feveral loans and free gifts ; till at laft the Londoners,^ to prevent further inquiries into their condufr, paid into the exchequer 5000I. in three years, i hefe diiorders, however, w’ere at laft flopped by the execution of John Senex j who, though a very rich and reputable citizen, had engaged in thele enterprifes. He offered 5001b. weight of lilver, a prodigious fum in thofe days, for his pardon, but was refufed. The king, however, ftill continued to drain the citizens of their money by free gifts} and at laft fined every feparate guild, fraternity, or company, that had prefumed to a£l as bodies cor¬ porate without the royal letters-patent. On the death of Henry II. the title of the firft ma¬ giftrate of London was changed from portgreve to that of bailiff; and in 1189 claimed and afted in the office of the chief butler at the coronation of Richard I. The office 1191 this monarch permitted the bailiff, named Henrymay0r Fit%-Alwine, to affume the title of mayor. For, in when firft. 1192, we find certain orders of the mayor and alder- inftituted. men to prevent fires 5 whereby it was ordained, that “ all houfes thereafter to be ereaed in London and the liberties thereof, fhould be built ot ftone, with party-walls of the lame j and covered eitner with flates or tiles, to prevent thofe dreadful calamities by fire, which were frequently and chiefly occafioned by houfes built of wTood, and thatched wuth draw or reeds.” And for this purpofe, it was alfo provided by the dif- creeter men of the city, “ that 12 aldermen of the city flrould be chofen in full huttings, and there fvvorn to affift the mayor in appeafing contentions that might arife among neighbours in the city upon enclolure be¬ twixt land and land, and to regulate the dimenfions ©f party-walls, which were to be of ftone, 16 feet high and three feet thick } and to give direaions about girders, windows, gutters, and wells.” Such confi¬ dence alfo did Richard put in the wifdom and faith- fulnefs of the city of London, that when it was re¬ folved to fix a ftandard for weights and meafures for the whole realm, his maiefty committed the execution thereof to the ffieriffs of London and Middlefex, whom he commanded to provide meafures, gallons, iron rods, and London. 19 Favours granted to the city by King John, London op- prefled by Henry III. LON [ 1 and weights, for ilandards, to be fent to the feveral counties of England. This happened in 1198, at which time corn was advanced to the enormous price of 18s. 4d. per quarter. The city of London was much favoured by King John, who granted them three charters foon after his acceflion. 'Fhe firft was a recital and confirmation of thofe granted by Henry I. and II. with the farther privilege oi being free from toll and every other duty or cuftom in his majefty’s foreign dominions ; for which they paid the fum of 3000 merks. The fecond was a confirmation of one granted by King Richard. By this the citizens of London had the jurifdidlion and confervancy of the river Thames; with a claufe to extend that jurifdidtion, and the powers therewith granted, to the river Medway •, and with another claufe to enable the faid city, as confervators of the rivers Thames .and Medway, to infiidt a penalty of 10I. upon any perfon that Ihould prefume to eredt a wear in either of thefe rivers. The third charter contains a fee-farm-rent of the fheriff’wicks of London and Middlefex at the ancient rent, of which they had been deprived by Queen Maud j granting them alfo the ad¬ ditional power of choofing their own fheriffs. This charter w'as given by way of conveyance from the crown to the citizens for a valuable confideration, by which the fheriffwick became their freehold 5 and this is the firft covenant or conveyance we find on record with the legal terms of to have and to hold, which are at this time accounted an effential part in all convey¬ ances of property. During the reign of Henry III. the city of London was opprefled in many different wrays. In 1218, he exadfed a fine of 40 marks for felling a fort of cloth not two yards within the lifts ; and a 15th of the citi¬ zens perfonal eftates for the enjoyment of their ancient rights and privileges. In 1221, he commanded by proclamation all the foreign merchants to depart the city, which drew’ 30 marks from the Hanfeatic com¬ pany of the Steelyard, to have feifin of their guild or hall in Thames-ftreet. But it wras the wreftling match at St Giles’s in the fields that brought on their great- eft burden. In the year 1221, on St James’s day, the citizens of London having carried off the vidlory from the people of Weftminfter and other neighbour¬ ing villages, the fteward of the abbot of Weftminfter, meditating revenge againft the Londoners, propofed another wuellling match with them, and gave a ram for the prize. The citizens reforted to the place at the time appointed ; but were unexpedledly affaulted by a great number of armed men, who killed and wounded many, and difperfed the reft. This raifed a great commotion in the city. The populace breathed revenge \ and, by the inftigation of Conftantine Fitz- Arnulph, a great favourer of the French party during the troubles in King John’s reign, they proceeded to eftminfter, and pulled dowm the houfes both of the ftew'ard and abbot. Hearing afterwards that the ab¬ bot was come into the city with his complaint to I hilip d Aubney the king’s counfel, they purfued him, beat his fervants cruelly, took away 1 2 of his horfes, and would have murdered himfelf, had he not efcaped by a back-door. Upon this tumult, Hubert de Bury, then chief judiciary, fummoned the mayor and many of the principal citizens to attend him in the tower of Vox.. XII. Part I. 77 ] L O N London ; and inquiring for the authors of the riot, London. Conftantine, the ringleader boldly anfwered, that “ he wras one j that they had done no more than they ought ; and that they were refolved to avow what they had done, let the confequence be what it would.” In this he was feconded by his nephew and che Geof¬ frey : but the jufticiary, having difmifled all the reft, detained thefe three, and ordered them to be hang¬ ed next morning, though Conftantine offered 15,000 marks for his pardon. *-Hubert then coming into the < city with a ftrong guard, caufed the hands and feet of moft of the principal rioters he could feize to be cut off: all which was executed without any legal pro¬ ceedings or form of trial. After thefe arbitrary cruel¬ ties, he degraded the mayor and all the magiftrates; placed a cujlos over the city, and obliged 30 perfons of his own choofing to become fecurities for the good behaviour 4 the whole city. Several thoufand marks were alfo exadled by the king, before he would confent to a reconciliation. ^ This arbitrary condudl alarmed the whole nation. The parliament of 1224 began to be uneafy for them- felves, and addrefled his majefty that he would be plea!- ed to confirm the charter of liberties which he had fworn to obferve ; and the confequence of this applica¬ tion was a confirmation of the magna charta in the full parliament at Weftminfter in the year 1225. At this time alfo, the rights and privileges of the citizens w^ere confirmed. They were exempted from profecu- tion for burels, i. e. lifted cloth ; and were granted the right of having a common feal. The neceflitous cir- cumftances of this monarch, however, made him often exadl money arbitrarily as long as he lived. Under the fucceeding reigns, as the liberty of the peo¬ ple in general, was augmented, fo the liberty, opulence, and power of the citizens of London increafed, until they became a kind of balance to the power of the crown itfelf, which in fome meafure they ftill continue to be. Riots indeed, for which they generally fuffered, were by no means unfrequent ; the city often fuffered by fires and plagues. Nothing, however, happened which ma¬ terially affedted the weliare of the city, till the reign of 21 Charles II. in 1665.—This year London was ravaged ^rea^u^ by the moft violent plague ever known in Britain. plaSue in The whole fummer had been remarkably ftill and1655' warm, fo that the weather was fometimes fuffocatihg even to people in perfeft health ; and by this unufual heat and fultry atmofphere, people were undoubtedly prepared for receiving the infe&ion, which appeared with violence in the months of July, Auguft, and September. A violent plague had raged in Holland m the year 1663 ; on which account the importation of merchandife from that country wras prohibited by the Britifti legiflature in 1644. Notwithftanding this prohibition, however, it feems the plague had atfuallv been imported •, for in the clofe of the year 1664, two or three perfons died fuddenly in Weftminfter, wuth marks of the plague on their bodies. Some of their neighbours, terrified at the thoughts of their danger, removed into the city 5 but their removal proved too ate 01 themfelves, and fatal to thofe amon^ whom, they came to refide. They foon died of the plague 5 and communicated the infection to fo many, others), that it became impoftible to extinguifh the feeds of it, by feparating thofe that were infeifted from fuch as z were LON t 178 ] LON London, were not. It was confined, however, through a hard frofty winter, till the middle of February, when it again appeared in the parilh of St Giles’s, to which it had been originally brought; and, after another long reft till April, ftiowed its malignant force afrelh, as foon as the warmth of the fpring gave it opportunity. At firft, it took off one here and there, without any certain proof of their having infected each other, and houfes began to be ftiut up, with a defign to prevent •its fpreading. But it was now too late *, the infe&ion gained ground every day, and the {hutting up of houfes only made the difeafe fpread wider. People, afraid of being ftiut up, and fequeftered from all commu¬ nication -with fociety, concealed their illnefs, or found means to efcape from their places of confinement j while numbers expired in the greateft torments, defti- tute of every afliftance ; and many died both of the plague and other difeafes, who would in all probabi¬ lity have recovered, had they been allowed their liberty, with proper exercife and air.—A houfe was fhut up on account of a maid-fervant, who had only fpots, and not the gangrenous plague-blotches, upon her, fo that her diftemper was probably a petechial fever. She recovered 5 but the people of the houfe obtained no liberty to ftir, either for air or exercife, for 40 days. The bad air, fear, anger, and vexation, atT tending this injurious treatment, caft the miftrefs of the family into a fever. The vifitors appointed to fearch the houfe, faid it was the plague, though the phyficians were of a different opinion : the family, however, were obliged to begin their quarantine anew though it had been almoft expired before ; and this fecond confinement affefted them fo much, that moft of the family fell fick, fome of one diftemper and fome of another. Every illnefs that appeared in the family produced a frefti prolongation of their confinement ; till at laft the plague was a&ually brought in by fome of thofe who came to inquire into the health of the family, and almoft every perfon in the houfe died.— Many examples of a fimilar kind happened, and this was one of the worft confluences of flmtting up houfes. All means of putting a ftop to the infe&ion were evidently ineffeflual. Multitudes fled into the country ; many merchants, owners of {hips, &c. fhut themfelves up, on board their veffels, being fupplied ■with provifions from Greenwich, Woolwich, and lingle farm houfes on the Kentiftr fide. Here, however, they were fafe •, for the infeftion never reached below Deptford, though the people went frequently on Ihore to the country towns, villages, and farm houfes, to buy freflh provifions. As the violence of the plague increafed, the fhips which had families on board re¬ moved farther off; fome went quite out to fea, and then put into fuch harbours and roads as they could beft get at. In the mean time, the diftemper made the moft ra¬ pid advances within the city. In the laft week of July, the number of burials amounted to 2010 ; but the firft week of Auguft it rote to 3817 ; thence to 3880 ; then to 4237 ; the next week, to 6102 ; and at laft to 7000 and 8000 weekly. In the laft week of September, however, the fury of the difeafe began abate; though vaft numbers were fick, yet the number of burials decreafed from 7155 to 5538 ; the ne^t week there was a farther decreafe to 4920, then to 4327, next to 2665, then to 1421, and the next ^ London. , week to 103 t. v All this while, the poor people had been reduced to the greateft; diftreffes, by reafon of the ftagnation of trade, and the fickneffes to which they w'ere pe¬ culiarly liable on account of their manner of living. The rich, however, contributed to their fubfiftence in a moft liberal manner. The fums collected on this occafion are indeed almoft incredible ; being faid to amount to loo,oool. per week. The king is report¬ ed to have contributed 1000I. weekly ; and in the pa- rifti of Cripplegate alone, 17,000!. was diftributed weekly among the poor inhabitants.—By the vigilance alfo of the magiftrates, provifions continued remark¬ ably cheap throughout the whole time of this dreadful calamity, fo that all riots and tumults on that account were prevented ; and at laft, on the ceftation of the difeafe in the winter of 1665, the inhabitants who had fled returned to their habitations, and London to ap¬ pearance became as populous as ever, though it vras computed that 100,000 perfons had been carried off by the plague. The city was fcarcely recovered from the defolation Account of occafioned by the plague, when it was almoft: totally ft16 Sreat laid in aftres by a moft dreadful fire. This broke out in a baker’s ftiop in Pudding-lane, on Saturday night, September 2. 1666. In a few hours Billingfgate ward was entirely burnt down ; and before morning the fire had crofted Thames-ftreet, and deftroyed the church of St Magnus. From thence it proceeded to the bridge, and confirmed a great pile of buildings there ; but was flopped by the want of any thing more to de- ftroy. The flames, however, being fcattered by a ftrong eaft wind, continued their devaftations in other quarters. All efforts to ftop it proved unfuccefsful throughout the Sunday. That day it proceeded up as far as Garlick-hithe ; and deftroying Canon-ftreet, in¬ vaded Cornhill and the Exchange. On Monday, the flames having proceeded eaftward againft the wind through Thames-ftreet, invaded Tower-ftreet, Grace- church-ftreet, Fenchurch-ftreet, Dowgate, Old Fifh- ftreet, Watling-ftreet, Threadneedle-ftreet, and feveral others, from all which it broke at once into Cheapfide. In a few hours Cheapfide was all in flames, the fire having reached it from fo many places at once. The fire then continuing its courle from the river on one fide, and from Cbeapfide on the other, furrounded the cathedral of St Paul’s. This building flood by itfelf at fome diftance from any houfes; yet fuch wras the violence of the flames, and the heat of the atmofphere occafioned by them, that the cathedral took fire at top. The great beams and maffy ftor.es broke through into Faith-church underneath, which was quickly let on fire ; after which, the flames invaded Pater-nofter- row, Newgate-ftreet, the Old Bailey, Ludgate-hill, Fleet-ftree*, Ironmonger-lane, Old-Jewry, Laurence- lane, Milk-ftreet, Wood-ftreet, Gutter-lane, Fofter- lane, Lothbury, Cateaton-ftreet; and, having deftroy¬ ed Chrift-church, burnt furioufly through St Martin’s le Grand towards Alderfgate. The fire had now attained its greateft: extent, and was feveral miles in compafs. The vaft clouds of finoke obfeured the fun fo, that he either could not be feen at all, or appeared through it as red as blood. The flames reached an immenfe w’ay up into the air, and LON [ i London, their refle&ion from the fmoke, which in the night- “■'V—time feemed alfo like flame, made the appearance ftill more terrible. The atmofphere was illuminated to a great extent, and this illumination is laid to have been vifible as far as Jedburgh in Scotland. Some of the light allies alio are faid to have been carried to the diltance of 16 miles. Guildhall exhibited a Angular appearance. The oak with which it was built wras fo iblid that it would not flame, but burnt like char¬ coal, fo that the building appeared for feveral hours like an enchanted palace of gold or burnilhed brafs. At laft, on Wednefday morning, w'hen every one expefted that the luburbs as well as the city were to have been burnt, the fire began of itfelf to abate by reafon of the wind having ceafed, and fome other changes no doubt taken place in the atmofphere. It was checked by the great building in Leadenhall- ftreet, and in other ftreets by the blowing up feveral houfes with gun-powder ; and on Thurfday the flames were quite extinguilhed.—The following is a calcula¬ tion of the damage done by this extraordinary confla¬ gration. Thirteen thoufand two hundred houfes, at 12 years purchafe, fuppofing the rent of each 25I. fterling, L. 3,960,000 Eighty-feven parifli churches, at 8000I. 696,000 Six confecrated chapels, at zoocl. 1 2,000 The royal exchange - - 50,000 The cuitomhoufe - - 10,000 Fifty-two halls of companies, at 1500I. each - 78,000 Three city gates, at 3000I. each 9000 Jail of Newgate - - 15,000 Four Hone bridges - - 6000 Seflions houfe - - 7000 Guildhall, with the courts and offices belonging to it - - 40,000 Elackweli-hall - - 3000 Bridewell - - - 5000 Poultry compter - * 5000 Woodftreet compter - - 3000 St Paul’s church - - 2,000,000 Wares, houfehold ftufl^ money, and vemoable goods loft or fpoiled 2,000,000 Hire of porters, carts, waggons, barges, boats, &c. for removing goods 200,000 Printed books and paper in ihops and warehoufes - - - 150,000 Wine, tobacco, fugar, &c. of which the town was at that time very full London. 23 Calculation cf the da¬ mage done. 1,500,000 L. 10,689,000 It was never certainly known whether this fire was accidental or defigned. A fufpicion fell upon the Pa- pifls 5 and this gained fuch general credit, that it is af- ferted for a truth on the monument which is ere&ed in memory of the conflagration. Of the truth of this aflertion, however, though there was not fufficient proof, it had the effeft of making the Papifts moft violently fufpefted and abhorred by the Proteftants, which fome time after proved very prejudicial to the city itfelf. 79 ] LON From this calamity, great as it was, London foon recovered itfelf, and became much more magnificent than before j the ftreets, which were formerly crooked and narrow, being now' built wide and Ipacious j 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 Oxly, fervant to one Rind in Fetter-lane, having fet her mailer’s houfe on fire, was a defign apprehended on fufpicion, and confeffed, that Ihe hadtofetit been hired to do it by one Stubbs a Papift, for a re-on fire wrard of 5I. Stubbs being taken into cuftody, ac-aSain‘ knovvledged that he had perfuaded her to it j and that he himfelf had been prevailed upon by one Father Gifford 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 feveral conferences with Gifford and two Irithmen on the affair. The maid and Stubbs alfo agreed in declaring, that the Papifts intended to rife in London, expecting to be powerfully fupported by a French army. In confe- quence of this difcovery, the Papifts rvere banilhed from the city, and five miles round, and five Jefuits were hanged for the above-mentioned plot. The Papifts thought to revenge themfelves by forg¬ ing what was called the meal-tub plot, in which the Prelhyterians were fuppofed to hatch treacherous de- 2. figns againft the life of the king. Sir Edmondbury Which Godfrey alfo, who had been very adtive in his pro-gives °cca- ceedings againfl: the Papifts, was murdered by fomellon tc’,a unknown perfons j and this murder, together with tjie their difcovering the fahehood of the meal-tub plot, court, fo exafperated the Londoners, that they refolved to (how their deteftation of Popery, by an extraordinary exhibition on the 17th of November, Queen Eliza¬ beth’s acceffion to the throne, on which day they had ufually burnt the pope in effigy. The proceffion be¬ gan with a perfon on horfeback perfonating Sir Ed¬ mondbury Godfrey, attended by a bellman 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 bilhops 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 Biffiopfgate to Fleet-ftreet ; and there, amidft a great multitude of fpeftators, com¬ mitted his holinefs to the flames. This proceffion gave great offence to the court, at which the duke of York, afterwards James II. had a great influence. The breach was farther widened by the choice of Iheriffs for that year. The candidates fet up by the court were reje£led by a majority of al- moft two to one •, but this did not deter their party from demanding a poll in their behalf, upon which a tumult enfued. This was reprefented by the Popilh party in fuch colours to the king, that he iffued out a commiffion 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 Popilh party, but to exclude the duke of York from his fucceflion to the crown* Z 2 In LON [ i? London. 26 A $uo Warranto granted In the mean time, the king prorogued the parlia¬ ment, to prevent them from proceeding in their in¬ quiry concerning the Popifh 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- iblved the parliament, and could never afterwards be reconciled to the city. From this time it wras deter¬ mined to feize their charter ; and frefh provocations having been given about the elehtion of Iheriffs, a quo warranto was at laft produced by the attorney-gene¬ ral, in order to overthrow their charter, and thereby to deprive the citizens of the power to choofe ftreriffs. This information fet forth, That “ the mayor and commonalty and citizens of the city of London, by the fpace of a month then laft paft and more, ufed, HAW W A Cl A1A1 'lit LA U -WAl ICILK j-J U. A & CA i A V-A 1-i.i A. W ^ a_gaini. the c|ajm to llave an^ ufe^ without any lawful warrant or legal grant, within the city of London aforefaid, and the liberties and privileges of the fame city, the liberties and privileges following, viz. T. To be of themfelves a body corporate and politic, by the name of mayor and commonalty and citi%ens of the city of London. 2. To have ilierifts civitat. et. com. London, et com. Middlefex, and to name, make, and elehf, and conftitute them. 3. That the mayor and aldermen of the faid city Ihould be juftices of the peace, and hold feffions of the peace. All which liberties, privileges, and franchifes, the faid mayor and commonalty, and citizens of London, upon the king did by the fpace aforefaid ufurp, and yet do ufurp.” Though nothing could be more unjuft: than this profecution, the miniftry w'ere determined at all events to crulh the Londoners •, rightly judging, that it would be an eafy matter to make all other corporations furrender their charters into the king’s hands, and that they had no other body in the nation to fear. Accordingly they difplaced fuch judges as would not approve of their proceedings j and, on the 12th of dune 1683, Juftice Jones pronounced the following fentence : “ That a city might forfeit its charter 5 that the malverfations of the common council were adds of the whole city ; and that the points fet forth in the pleadings were juft grounds for the forfeiting of a charter.” Notwithftanding this fentence, however, the attor- ney-general, contrary to the ufual cuftom in fuch cafes, was direfled to move that the judgement might not be recorded : being atraid of the confequences. Yet it was judged that the king might feize the liberties of the city. A common-council w7as immediately fum- moned to deliberate on this exigency. The country party moved to have the judgement entered j but they w7ere overruled by the court party, w'ho infilled upon an ahfolute fubmiftion to the king before judgement w’as entered ; and though this was in efteht a voluntary furrender of the city-liberties, and deprived them¬ felves of the means.of getting the judgement reverfed, the a£l of fuLmiflion was carried by a great majority : and in a petition from the lord mayor, aldermen, and common-council, they “ acknowledged their own mif- government, .and his majefty’s lenity ; begged his. par- o ] LON don, and promifed conftant loyalty and obed’ence ; and London, humbly begged his majelly’s commands and direhlions.” " v To this his majefty aniwered, that he would not reject 27 their fuit, if they would agree upon the following par- Conditions ticulars. 1. That no lord mayor, fheriff, recorder, rec01?c^' common lerjeant, town clerk, or coroner, or the city London, or itew'ard of the borough of Southwark, king and (hall be capable of, or admitted to, the exercife of their chy. refpeflive offices before his maiefty ffiall have appro¬ ved of them under his fign-manual. 2. That if his majefty ffiall difapprove the choice of any perfon to be lord mayor, and fignify the fame under his fign-manual to the lord mayor, or in default of a lord mayor, to the recorder or fenior alderman, the citizens fhall, within one week, proceed to a new choice : and if his majefty ftiall in like manner difapprove the fecond choice, his majefty may, if he pleafes, nominate a perfon to be lord mayor for the year enfuing. 3. If his majefty (hall, in like manner, difapprove the perfons chofen to be ftieriffs, or either of them, his majefty may appoint (herifts for the year enfuing. 4. That the lord mayor and court of aldermen may, with the leave of his majefty, difplace any alderman, recorder, &c. 5. Upon the eleflion of an alderman, if the court of aldermen ftiall judge and declare the perfon prefented to be unfit, the ward fhall choofe again j and upon a difapproval of a fecond choice, the court .may appoint another in his room. 6. That the juftices of the peace fliould be by the king’s commiffion ; and the fettling of thofe matters to be left to his majefty’s attorney-general and counfel learned in the law.” To thefe the lord-keeper added, in the king’s name, “ That thefe regulations being made, his majefty would not only pardon this profecution, but would confirm their charter in fuch a manner as ftiould be confident wdth them ; concluding thus: “ My lord mayor, the term draws towards an end, and Midfummer-day is at hand, when fome of the officers ufed to be chofen ; wffiereof his majefty will referve the approbation. There¬ fore, it is his majefty’s pleafure, that you return to the city, and confult the common-council, that he may fpeedily know your refolutions thereupon, and accord- ingly give his directions. That you may fee the king is in eameft, and the mattet is not capable of delay, I am commanded to let you know he hath given oiders to his attorney-general to enter upon judgement on Sa¬ turday next unlefs you prevent it by your compliance in all thefe particulars.” A common-council was fummoned, when the friends of liberty treated thofe flavilh conditions as they de- ferved $ and even declared, that they wrere ready to fa- crifice all that w’as near or dear to them, rather than fubmit to fuch. arbitrary impofitions : but when it was put to the vote, there appeared a majority of 18 for fubmiffion. Thus the king got the government of the city into his own hands, though he and his brothers entirely loft c the affeClions of the Londoners. But, not content with kjnw their fubmiffion, his majefly departed from his promife ; breaks his commanded the judgement upon the quo to promife. be entered ; and commiffioned Sir William Pritchard, the lord mayor, to hold the fame office during his ma¬ jefty’s pleafure. In the fame manner he appointed or difplaced. the other magilirates as he thought proper j after. 29 Privileges cf the city reftored. LON [ 18 London, after which the minifhy, having nothing to tear, pro- ' ceeded in the moft arbitrary manner. In this fubjedli®n to the will of the court, the city of London continued till the Revolution ; but, in 1689, the immediate reftoration of the Londoners to their franchifes was ordered j and in fuch a manner and form, as to put it out of the powers of an arbitrary minillry and a corrupt judge and jury to deprive them of their chartered liberties for the time to come. Accordingly a bill was brought into parliament, and palled, for re- verfing the judgement of the quo xvarranto againft the city of London, and for relloring the fame to its ancient rights and privileges. Since that time the city of Lon¬ don hath enjoyed tranquillity ; its commerce hath been carried to the higheft pitch j and for the politenefs, riches, and number of its inhabitants, as well as is extent and the magnificence of its buildings, is inferior to no city in Europe, if not fuperior to every 3° . Defcription of the city. . .31 Divifion in¬ to wards. That part of this immenfe capital which is diftin- guithed by the name of The City, Hands on the north Ihore of the river, from the Tower to the Temple, oc¬ cupying only that fpace formerly encompaffed by the wall, which in circumference meafures but three miles and 165 feet. In this wall there were feven gates by land, viz. Ludgate, Aldgate, Cripplegate, Alderfgate, Moorgate, Bifhopfgate, which were all taken down in September 1760 j and Newgate, the county gaol, which was alfo taken down in 1776, and a malfive building eredled a little Couth of it, which by the riot¬ ers in 1780 received damage to the amount of 83,000!. On the lide of the water there were Dowgate and Billingfgate, long fince demolilhed, as w’ell as the poftern-gate near the Tower. In the year 1670 there was a gate erefted called Temple-Bar, which termi¬ nates the bounds of the city weftward. The liberties, or thofe parts of this great city which are fubjefl to its jurjfdiftion, and lie without the walls of London, are bounded on the eaft, in Whitechapel, the Mino- ries, and Biihoplgate, by bars, which were formerly polls and chains, that were frequently taken away by arbitrary power, when it was thought proper to feize the franchifes of the city of London : on the north, they are bounded in the fame manner in Pickaxe- Hreet, at the end of Fan-alley, and in St John’s-llreet : 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 jurifdidlion which the city holds on the river Thames, and over the borough of South w’ark. The city, including the borough, is at prefent divid¬ ed into 26 w-ards. 1. Atderfgate ward takes its name from .a city-gate which lately Hood in the neighbourhood. It is bound¬ ed on the eaft by Cripplegate ward ; on the weft, by Farringdon ward within and without and on the fouth, by Farringdon w7ard within. It is very large, and is divided into Alderfgate-within and Alderfgate- with-out. Each of thefe divifions confifts of four pre- cinfls, under one alderman, eight common-council men, of whom two are the alderman’s deputies, eight con- ftables, fourteen inqueflt-men, eight fcavengers, and a beadle j exclufive of the officers belonging to the li- 1 ] LON berty of St Martin’s le Grand, which contains 168 houfes. 2. Aldgate takes its name alfo from a gate, which wqs of great antiquity, being mentioned in King Ed¬ gar’s charter to the knights of the Knighton Guild about the year 967 j and was probably of a much more ancient foundation, for it wras the gate through w’hich the Roman vicinal w’ay lay to the ferry at Oid- 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 w’as 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. I he new gate wras very ftrong, and had a deep well within it. In 1471 this gate was affaulted by the Baftard of Falconbridge, who got poffelhon of it lor a few hours j but the portcullis being drawn up, the troops which had entered were all cut oft, and the citizens, headed by the alderman of the ward and recorder, having made a fally, defeated the remainder with great (laugh¬ ter. In 1606 Aldgate was taken down and rebuilt; and many Roman coins were found in digging the foundations.—The wTard 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 Langbourn wards 5 and on the fouth, by Tower-ftreet ward. It is governed by an alderman, fix common-council men, fix conftables, twenty inqueft-men, feven fcavengers, and a beadle 5 befides the officers belonging to St James’s, Duke’s Place.—It is divided into feven precinfls. 3. BaJJiJhaw or Bafnghall ward, is bounded on the eaft; and fouth by Coleman-llreet ward, on the north by part of Cripplegate, and one the weft by part of the wards of Cheap and Cripplegate. On the fouth, it begins at Black well-hall ) and runs northward to London-wall, pulled dowm fome time ago to make wray for new buildings in §Fore-Jlreet, and fpreads 88 feet eaft, and 54 feet weft againft the place where that wrall flood. This is a very fmall ward, and confifts only of two precindls : the upper precinfl 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 Bajings, 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 j on the weft, by the ward of Bridge-within j and on the fouth, by the river Thames. There have been many conjeflures concerning the origin of the name of Billingfgate, none of which feems to be very w7ell authenticated. It is, for inftance, fuppofed to have derived its name from a Britifti king named Beh- nus, faid to have been ah affftlant of Brennus king of the Gauls at th? taking of Rome, and is the fame with the Beli-Maur mentioned in the Welfh genealogies.. The name of Ludgate is faid to be derived from his Ion London. LON [i T.oncLn. LuJ.—It is divided into I 2 precin&s ; and is governed by an alderman, 10 common-council men, one of whom is the alderman’s deputy, il conftables, 14 inqueft-men, fix fcavengers, and a beadle. The fituation of Billingf- gate, on the river, gives it great advantages with re- fpecl to trade and merchandife *, fo that it is well in¬ habited, and is in a continual hurry of bufmefs at the fe- veral wharfs or quays. 5. Bijhopfgate ward is bounded on the eaft by Aid- gate ward, Portfoken ward, and part of the Tower- liberty, or Norton-falgate } on the weft, by Broad-ftreet ward and Moornelds ; 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 precimfts j the fecond lies without the wall, and is divided into four precindfts. Biftiopfgate-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 duke of Shoreditch, on account of his fkill in archery 5 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, 1 2 common-council men, feven conftables, 13 inqueft-men, nine fcavengers, and two beadles. It took its name from the gate, wdiich has been pulled down to make that part of the city more airy and commodious. This gate was built by Erkemvald bifhop of London in 675 j and it is faid 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 ele¬ gantly in 1479. There were two ftatues of biihops, in in memory of the founder and firft repairer ; other twTo were alfo put up, which are fuppofed to have been de- figned for Alfred and ALldred earl of Mercia to whofe care the gate had been committed. 6. Bread-freet ward is encompaffed on the north and north-weft, by the ward of Farringdon within •, on the eaft, by Cordwainers ward j on the fouth by Oueenhithe wTard ; and on the weft, by Caftle-Bay- nard ward. It is divided into 13 precin£ls j and is governed by an alderman, 12 common-council men, of whom one is the alderman’s deputy, 13 conftables, 13 inqueft-men, 13 fcavengers, and a beadle j and yet contains no more than 331 houfes. It takes its name from the ancient bread-market, rvhich 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 ihops. 7. Bridge-ward within is bounded on the fouth by the river Thames and Southwark 5 on the north, by Langbourn and Bifhopfgate w^ard ; on the eaft, by Billingfgate ; and on the weft, by Candlewick and Dovvgate wards. It is divided into 14 precindts, three of which were on London bridge } and is governed by an alderman, 15 common-council men, one of whom is the alderman’s deputy, 14 conftables, 15 inqueft-men, 82 ] LON 14 fcavengers, and a beadle. It takes its name from its connexion with London bridge. 8. Broadflreet ward is bounded, on the north and eaft, by Biihopfgate ward ; on the fcutb, by Cornhill and Wallbrook ward j and on the weft by Coleman- ftreet ward. It is divided into ic precindts j 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 diftinguiihed by the name of Old Broad-Jlreet $ and which, before the fire of 1666, was accounted one of the broadelc ftreets in London. 9. Candlewick ward, Candlewick-JIreet, 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, hy Langbourn ward. It is but a fmall ward, confift- ing of about 286 houfes; yet is divided into feven precindfts. 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 chiefty by candle wrights or candle- bakers, both in tallow and wax : a very profitable bu- finefs in the times of Popery, when incredible quanti¬ ties of wax candles were confumed in the churches. That ftreet, however, or at leaft its name, Candlewick, is loft fince the great conflagration, for which the name Canon-Jfreet is fubftituted, the candle wrights be¬ ing at that time burnt out and difperfed through the city. 10. Cajlle-Bagnard ward is bounded by Queen- hithe and Bread-ftreet wards on the eaft ; on the fouth, by the Thames j and on the wreft and north, by the ward of Farringdon-within. It is divided into 10 pre- cindfs, under the government of an alderman, 10 com¬ mon-council men, one of wdiom is the alderman’s de¬ puty, nine conftables, 14inqueft-men, feven fcavengers, and a beadle. It takes its name from a caftle built on the bank of the river by one Baynard, a foldier of fortune-, who came in with William the Conqueror, and was by that monarch railed to great honours and au¬ thority. 11. Cheap ward is bounded on the eaft by Broad- ftreet and Wallbrook wrards j on the north, by Cole- man-ftreet, Baflilhaw, and Cripplegatc ; and on the fouth, by Cordwainers ward. It is divided into nine precindlsj and is governed by an alderman, 1 2 common- council men, of w’hom one is the alderman’s deputy, 11 conftables, 13 inqueft-men, nine fcavengers, and a beadle. It has its name from the Saxon -word chepe, ivhich fignifies a market, kept in this divifion of the city, now called Cheapfide: but then known by the name of Wef cheap, to diftinguilh it from the market then alfo kept in Eaftcheap, between Canon or Candle- wick ftreet and TowTer-ftreet. I 2. Coleman-fireet ward is bounded on the eaft by Bifhopfgate, Broadftreet, and Cheap w7ards j on the north, by Cripplegate ward, Middle Moorfields, and Bifhopfgate ; on the fouth, by Cheap ward ; and on the weft, by Baffifhaw ward. It is divided into fix pre- cintfts} and is governed by an alderman, fix common- council London. 2 London. LON council men, one of whom is the alderman’s deputy, fix conftables, 13 inqueft-men, fix fcavengers, and a beadle. The origin of the name is not certainly known. _ # 13. Cordivainers ward is bounded on the eatl by Wall brook, on the fouth by Vintry ward, on the welt by Bread-ftreet, and on the north by Cheap ward. It is divided into eight precin&s; and is governed by an alderman, eight common-council men, one of whom is the alderman’s deputy, eight conftables, 14 inqueft- men, eight fcavengers, and a beadle. . Its proper name is Cordwainers-Jlreet ward; which it has from Cordwainers-ftreet, now Bow-lane, formerly occupied 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 Bilhopfgate, on the north by Broad-ftreet, on the weft by Cheap ward, and on the fouth by Langbourn ward. It is divided into four precirufts, 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 earlieft 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 5 on the north by the parifli 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 takes its name from Cripplegate, which flood on the north-weft part of the city wall. It was an old plain ftruclure, void of all ornament, with one poftern •, but had more the appearance of a fortification than any of the other gates. It was removed in order to widen the entrance into Wood-ftreet, which, by the narrownefs of the gateway, was too much contrafted and rendered dangerous for paflengers and great waggons. ] 6. Dowgate ward is bounded on the eaft by Candle- wick and Bridge wards, on the north by Wallbrook ward, on the weft by Vintry w-ard, and on the fouth by the Thames. It is divided into eight precindfs, under the government of an alderman, eight common- council men, of whom One is the alderman’s deputy, eight conftables, 15 inqueft-men, five fcavengers, and a beadle. It has its name from the ancient water gate, called Dourgate, which was made in the original wall 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-caftle ward ; on the north, by Alderfgate and Ciipplegate wards, and the liberty of St Martin’s le Grand •, on the weft by Farringdon- without; and on the fouth, by Baynard-caftle ward, and the river Thames. It is divided into 18 precindls j and governed by one alderman, 17 common-council men, of whom one is the alderman’s deputy, 19 con¬ ftables, 17 inqueft-men, 10 fcavengers, and two beadles. It takes its name from William Farringdom LON citizen and goldfmith of London, who, in 1279, pur- | London. chafed all the aldermanry with the appurtenances, ' v within the city of London and fuburbs of the fame, between Ludgate and Newgate, and alfo without thefe gates. 18. Farringdon ward without is bounded on the eaft by Farringdon within, the precindl of the late priory of St Bartholomew near Smithfield, and the ward of Alderfgate ; on the north, by the Charter-houfe, the parilh of St John’s Clerkenwell, and part of St An¬ drew’s parifli without the freedom •, on the weft, by High Holborn and St Clement’s parilh in the Strand j and on the fouth 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 goldfmith w'ho gave name to Farringdon within. 19. Langbourn ward is bounded on the eaft by Aid- gate ward 5 on the north, by part of the fame, and Lime-ftreet ward ; on the fouth, by Tower-ftreet, Bil- lingfgate, Bridge, and Candlewick wards j and on the wreft by Wallbrook. It is divided into 1 2 precindls.. It had its name from a rivulet or long bourn of frefti water, which anciently flo.wed from a fpring near Magpye alley adjoining to St Catherine Coleman’s church. 20. Limejlreet ward is bounded on the eaft and north by Aldgate ward, on the weft by Bilhopfgate j and on the fouth by Langbourn ward. It is divided into four precindls j 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 fmall 5 and has its name from fome lime-kilns that were formerly built in or near Lime-ftreet. 21. Portfohen ward is bounded on the eaft by the parifties of Spitalfields, Stepney, and St George’s in the eaft j on the fouth, by Tower-hill ; on the north, by Bilhopfgate ward, and on the weft by Aldgate w7ard. It is divided into five precindls 5 and is go¬ verned by an alderman, five common-council men, one of whom is the alderman’s deputy, five conftablcs, 19 inqueft-men, five fcavengers, and a beadle. Its name fignifies the franchife of the liberty gate. This Portfoken wras for fome time a guild j and had its beginning in King Edgar, when 13 knights, “ well beloved of the king and realm, for fervices by them done,” 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 the king to have this land, with the liberty of a guild for ever. . The king granted their requeft on the following condi¬ tions, viz. that each of them (hould vidlorioufly accom- plifh 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, tl ey ftiould 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 call, 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. Queen-hithe ward is bounded on the call by Dowgate, on the north by Bread-ftreet and Cord- wainers - [ ] '*?• Y LON t 184 ] LON ; '^on' on- wainers wards, on the fouth by the Thames, and on the' v weft by Caftle-Baynard ward. It is divided into nine precinfts ; 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 hit he, or harbour for large boats, barges, and lighters ; for which, and even for fhips, it was the anchoring place, and the quay for loading and unloading veffels almoft of any burden ufed in ancient times. It has the name of queen, becaufe the queens of England ufually pofTeffed the tolls and cuifoms of vefiels that unloaded goods at this hithe, which were very ccnfiderable. 23. lower ward, or Tower-Jlreet ward, is bounded on the fouth by the river Thames, on the eaft by lower-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 diredl 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 Queenhithe ward, and on the north by Cord wainers ward. It is. a fmall ward, containing only 418 houfes \ but is divided into nine precimfts, and governed by an. alderman, nine common-council men. one of whom is 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 Bour- deux, 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. 25. Wallbrook ward is bounded on the eaft by Langbourn, on the fouth by Dotvgate ward, on the weft by Cordwainers ward, and on the north by Cheap w7ard. It is fmall, containing only 306 houfes j but is divided into (even precindts, and governed by an alderman, eight common-council men, of whom one is the alderman’s deputy, feven conftables, 13 inqueft- 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 time it was fo loft by covering it with bridges, and buildings upon thofe bridges, that its channel became a common fewer. 26. The wrard of Bridge-without includes the borough of Southwark, and the pariftres of Rotherhithe, Newing¬ ton, and Lambeth. It has its name from London bridge, with the addition of the word without, becaufe the bridge muft be paffed in order to come at it. Wejl- minjler is generally reckoned a part of London, though under a diftindl government j and has long been famous for the palaces of our kings, the feat of our law wri- bunals, and of the high court of parliament j all which N lhall be defcribed in their order. Govern- 1 be city and liberties of London are under an eccle- mentof fiaftical, a civil, and a military government. London. ^s to its ecclejiajlical government, London is a bi- ErrleiLfti- ^0P’S ^ee> ^ diocefe of which comprehends not only cal. Middlefex, EiTex, and part of Hertfordftiire, but the Britifti plantations in America. The bifhop of Lon¬ don takes precedency next to the archbilhops of Can¬ terbury and York j but the following parilhes of this I city are exempt from his jurifdidlion, being peculiars London. under the immediate government of the archbiihop of' v— Canterbury ; viz. All-hallows in Bread-ftreet, All- hailows, Lombard-ftreet j St Dionys Back-church, St Dunftan in the Eaft, St John Baptift, St Leonard Eaftcheap, St Mary Aldermary, St Mary Bothaw, St Mary le Bow, St Michael Crooked-lane, St Mi¬ chael Royal, St Pancras Soper-lane, and St Vedaft Fofter-lane. The civil government of London divides it into wards .. 34 and precindls, under a lord mayor, aldermen, and com-CmL mon-council. The mayor, or lord mayor, is the fupreme rc>agi-Lorci35 ftrate, chofen annually by the citizens, purfuant to a Mayor, charter of King John. The prefent manner of elecl- ing a lord mayor is by the liverymen of the feveral companies, aflembled in Guildhall annually on Michael- mas-day, according to an aft of common council in A. D. 1476, where, and when, the liverymen choofe, or rather nominate, two aldermen below the chair, who have ferved the office of 11161-111, to be returned to the court of aldermen, who may choofe either of the two 5 but generally declare the fenior of the two, fo returned, to be lord mayor cleft. The eleftion be¬ ing over, the lord mayor eleft, accompanied by the recorder and divers aldermen, is foon after prefented to the lord chancellor (as his majefty’s reprefentative in the city of London) for his approbation ; and on the 9th of November following is fworn into the office of mayor at Guildhall ; and on the day after, before the barons of the exchequer at Weft min fter ; the pro- ceffion on which occafion is exceedingly grand and magnificent. i'he lord mayor fits every morning at the manfion- houfe, or place where he keeps his mayoralty, to de¬ termine any difference that may happen among the citizens, and to do other bufinefs 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 jurifdiftion ex¬ tends all over the city and fuburbs, except fome places 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 correfting all perfons that ftiall annoy the ftreams, banks, or filh. For wThich purpofe his lordlhip holds feveral courts of confervancy in the counties adjacent to the faid river, for its confervation, and for the punifliment of offend¬ ers. See the article MAYOR’s-dWr/. The title of dignity, alderjnan, is of Saxon original, and of the greateft honour, anfwering to that of earl j A^eimeB’ though now it is nowhere to be fisund but in charter¬ 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 refpeftive wards under the lord mayor’s jurifdiftion j 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 oppreftions, to which the citizens were fubjeft from finch a government, put them upon LON [ 185 ] LON London, upon means to abolifli the perpetuity of that office and they brought it to an adtual election. But that man¬ ner of deffion being attended with many inconvenien¬ ces, and becoming a continual bone of contention among the citizens, the parliament, 17 Richard II. A. I). 1394, enabled, that the aldermen of London fliould continue, in their fevernl offices during life or good behaviour. And fo it ftiil continues : though the manner of ele&ing has feveral times varied. At prefent it is regulated by an a£t of parliament, palled m the year 1724-5 : and the perfon fo ele&ed is to be returned by the lord mayor (or other returning officer in Ins dead, 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 office of alderman before he can aft. If the perfon chofen refuleth to lerve the office of alderman, he is finable 500I. _ Thefe high officers conflitute a fecond part of the city legifiature when aiiembled in a corporate capacity, and exfcrcife an executive power in their refpeftive wards. The aldermen who have palled the chair, or ferved the high office of lord mayor, are juftices of the quorum 5 and all the other aldermen are not only juftices of the peace, but by the llatute of 43 Eliz. entitled, A1// for relief of the poor, “ every alderman of the city of London, within his ward, lhall and may do and execute, in every refpeft, fo much as is appointed and allowed by the faid aft to be done or executed by one or tiMo juftices of peace of any county within this realm.” They every one keep their wardmote, or court, for choofing ward officers and fettling the affairs of the ward, to redrefs grievances, and to prefent all 17 defaults found within their refpeftive wards. Common- . The next branch of the legifiative power in this cour.cn. clty is the common-council. The many inconveniences that attended popular affemblies, which were called fo lit mote, determined the commonalty of London to 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 reprefenta¬ tives were chofen out of the feveral companies : but that not being found fatisfaftory, nor properly the re- preffintatives of the whole body of the inhabitants, it was agreed to choofe a certain number of difereet men out of each ward : which number lias from time to time increafed according to the dimenfions cf each ward.: and at pi'efent the 25 wards, into which Lon¬ don is divided, being fubdivided into 236 precinfts, each precinft 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 afiembled, may be deemed the city par¬ liament, refembling the great council of the nation. F01 is ccnfifts of two houfes j one for the lord mayor and aldermen, or the upper hoiffe } 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 Vol. XII. Part I. thofe laws. When they meet in their incorporn^ ca- London, pacitjq they wear deep blue iilk gowns : and their .? - -y-—— femblies are called the court of common-council% and their ordinances ails of common-council. No aft can be per¬ formed in the name of the city of London without their concurrence. But they cannot affemble without a fummons from the lord mayor ; who, neveithclefs, is obliged to call a common-council, whenever it ihall be demanded, upon extraordinary occafions, by fix re¬ putable citizens and members of that court. 38 This corporation is affifted by two flieriffs and a re- ^berirTs. corder. The Iheriffs 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 fcveral companies on Midfum- mer day. Their office, according to Camden, m ge¬ neral, is to collect the public revenues within tiieir fe¬ veral jurifdiftions ; to gather into the exchequer alt 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 headltrong and obftinate men by the pojfe conutatus to fubmit to the de- cilions of the law ; and to take care that all condemn¬ ed criminals be duly puniihed and executed. In par¬ ticular, in London, they are to execute the orders of the common-round!, when they have refolved to ad- dieis his majelty, or to petition parliament. Ihe fheriffs, by virtue of their office, hold a court at Guildhall every Wednefday and Friday, for aftiohs entered at Wood-ftreet Compter; and on Thurfdays, and Saturdays for thofe entered at the Poultry Comp¬ ter : of which the fheriffs being judges, each has his affiftant, or deputy, who are called the judges of thofe courts ; before whom are tried aftions of debt, tref- pafs, covenant, &c. and where the teftimony of any abfent wflnefs in writing is allowed to be good evi¬ dence. To each of thefe courts belong four attornies, who, upon their being admitted by the court of aider- men, have an oath adminiftered to them. lo each of thefe courts likewife belong a fecondary, 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 laid courts , the clerk of the papers files and copies all declarations upon aftions; the prothonotary draws and engroffes 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, belides inferior officers, and the prifon- keeper. » In the Iheriffs court may be tried aftions of debt, cafe, trefpafs, account, covenant, and all perfonal ac¬ tions, attachments, and fequeftratious. When an er¬ roneous judgement is given in either of the ffieriffs courts of the city, the writ of error to reverfe this judgement muft be brought in the court of huftings 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,Recorder, by the nature of his office, feems to have been intended as an affiftant to, or affeffor with, the lord mayor, in the execution of his high oftice, in matters of juftice and law. He is chofen by the lord mayor and alder- -A- * me« LON [ 186 ] LON men only ; and takes place in all courts, and in the common-ccunci!, before any one that hath not been mayor. Of whom we have the following description in one of the books of the chamber : “ He fhall be, as is wont to be, one of the moft Ikilful and virtuous apprentices of the law of the whole kingdom ; whpfe office is always to lit on the right hand of the mayor, in recording pleas, and palling judgements ;• and by whom records and procefles, had before the lord mayor and alderman at Great St Martin’s, ought to be re¬ corded by vycu'd of mouth before the judges affigned there to correct errors. The mayor and aldermen have therefore ufed commonly to fet 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 all addreffes to the king, &c. from the corporation j and he is the firlt officer in order of precedence that is paid a fa- lary, which originally was no more than. 10I. fter- ling per annum, with feme few perquilites 5 but it has from time to time been augmented to 1000I. per annum, 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 chamberlain ; an officer of great repute and truft, and is in the choice of the livery annually. This officer, though chofen annually on Midfummer-day, is never dilplaced during bis 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 fuc- ceffors, for orphans ; and therefore a bond or a recog¬ nizance made to him and his fucceflbrs, is recoverable by his fucceflfors. This officer hath a court peculiarly belonging to him. His office may be termed a public treafury, colledling the culloms, moneys, and yearly revenues, and all other payments belonging to the corporation of the city. It was cuftomary for govern¬ ment to appoint the chamberlain receiver of the land tax 5 but this has been difeontinued for feveral years pail. The other officers under the lord mayor are, 1, The 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 the pre- cin£ls or liberties of the city. He is to take care of orphans ellates, either by taking account of them, or to fign their indentures, before their palling the lord mayor and court of aldermen. And likewife he is to let, fet, and manage the orphans eftates, according to his judgement, to the bell advantage. 2. The town clerk } who keeps the original charter of the city, the books, rolls, and other records, wherein are regiftered the a£ls 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, and figns all public inftruments. 3. The city remem¬ brancer ; who is to attend the lord mayor on certain days, his hufinefs being to put his lordlhip in mind of the days he is to go abroad with the aldermen, &c. He is to attend daily at the parliament houfe, London, during the feffions, and to report to the lord mayor vv" 1 their tranfa&ions. 4. The fword-bearer j who is to attend the lord mayor at his going abroad, and to carry the fword before him, being the emblem of jullice. This is an ancient and honourable office, reprelenting the ftate and princely office of the king’s moll excel¬ lent majelly, in his reprefentative the lord mayor j and, according to the rule of armory, “ He mull carry the fword upright, the hilts being holden under his bulk, and the blade diredlly up the midfl of his brealf, and fo forth between the fvvord-bearer’s brow's.” 5. The common hunt ; whofe bulinefs 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 authorized 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 ellates of freemen, within two months after their deceafe : and he is to have notice of the appraife- ments. He is alfo to attend the lord mayor on let days, and at the courts held weekly by the mayor and aider- men. 7. The water bailiff 5 whofe office is to look after the prel’ervation of the river Thames againll all encroachments •, and to look after the lifhermen for the prefervation of the young fry, to prevent the dellroy- ing them by unlawful nets. For that end, there are juries for each county, that hath any part of it lying on the lides or Ihores 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 lilh, and make their preferments accordingly. He is alfo bound to attend the lord mayor on let days in the week.—Thefe feven purchafe their places ; except the * town clerk, who is chofen by the livery. There are alfo three ferjeant carvers j three ferjeants of the chaihber ; a ferjeant of the channel j four yeo¬ men of the water fide j an under water bailiff j two yeomen of the chamber 5 two meal wreighters; two yeo¬ men of the wood wharfs $ a foreign taker j city mar- Ihals. There are befides thefe, feven gentlemen’s men j 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 three 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 commiffioners 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 crowm of England. See the article Coroner. Befides thefe officers, there are feveral courts in this city for the executing of juffice, viz. the court of huf- tipgs, lord mayor’s court, &c. In the city there are alfo LON [i London- 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 ftate, and at the fame time fubje£t to the lord mayor as chief magiftrate of the city. The houfekeepers of each ward eleft their reprefentatives, the common council, who join in making bye-laws for the government of the city. JLhe 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 defcribed, for the management of its own affairs. T. he other, by the mafter, wardens, and court of affiftants, of the incor¬ porate companies ; whofe power reaches no farther than over the members of their refpe&ive guilds or fra¬ ternities j except that in them is veiled 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 diftindl powers, according to the tenor of their refpedtive charters. The military government of the city is lodged in a lieutenancy, confifting of the lord mayor, aldermen, and other principal citizens, who receive their autho¬ rity by a commiffion from the king. Thofe have un¬ der their command the city trained bands, confifting of fix regiments of foot, diftinguilhed by the names of the white, orange, yellow, blue, green, and red,, each containing eight companies of 150 men, amounting in all to 7 200. Befides thefe fix regiments, there is a corps called the artillery company, from its being taught the military exercife in the artillery ground. This com¬ pany is independent of the reft, and conlifts of 700 or 800 volunteers. All thefe, with two regiments of foot of 800 men each commanded by the lieutenant of the Tower of London, make the whole militia of this city j which, exclufive of Weftminfter and the borough of Southwark, amounts to about 10,000 men. The trading part of the city of London is divided Companies, into 89 companies •, though fome of them can hardly be called fo, becaufe they have neither charters, halls, nor liveries. Of thefe 89 companies, 55 have each a hall for tranfa&ing the bulinefs of the corporation j and this confifts of a mafter or prime warden, a court of af¬ fiftants, and livery.—Twelve of thefe companies are fuperior to the reft both in antiquity and wealth j and of one of thofe I 2 the lord mayors have generally made themfelves free at their ele&ion. Thefe companies are the mercers, grocers, drapers, fiffimongers, goldfmiths, fkinners, merchant-taylors, haberdaftiers, falters, iron¬ mongers, vintners, and clothworkers.— The principal London. Military govern- aaent. 43 Trading 44 87 J LON incorporated focieties of the merchants of this city are, > the Hamburgh Company, the Hudfon’s Bay Compa¬ ny, the Ruffia Company, the Turkey Company, the Eaft India Company, the Royal African Company, the South Sea Company, and fome Infurance Compa¬ nies. The moft of thefe companies have ftately houfes for tranfafting their buftnefs, particularly the Eaft In¬ dia and South Sea companies. See Company. The ftreets and public buildings in London and its Remark- liberties being far too numerous for a particular de - ^ ^ets fcription in this work, we {hall only feleft the m°ftfngswith- remarkable, beginning with London Bridge as the moftp^g andient, and proceeding in our furvey through the City. wards into which the city is divided. 45 I. Remarkable buildings, &c. in the Cirr.—The ori-London ginal bridge, which ftands in Bridge ward, was ofBndSe' wood, and appears to have been firft built between the years 993 and roi6 ; but being burnt down about the year 1x36, it was rebuilt of wood in 1163. I he ex- pences, however, of maintaining and repairing it be¬ came fo burdenfome to the inhabitants of the city, that they refolved to build a ftone bridge a little weft- ward of the wooden one. This building was begun in 1176, and finiftied in 1209; and was 915 feet long, 44 feet high, and 73 feet wide; but houfes being built on each fide, the fpace between was only 23 feet. This great work was founded on enormous piles driven as clofely as poffible together : on their tops were laid long planks 10 inches thick, ftrongly bolted ^ and on them was placed the bafe of the pier, the lowermoft ftones of which were bedded in pitch, to prevent the water from damaging the work : round all were the piles which were called the Jlerlings, de- figned for the prefervation of the foundation piles. Thefe contrafled the fpace between the piers fo great¬ ly, as to occafion at the retreat of every tide a fall of five feet, or a number of temporary catarafts, which fince the foundation of the bridge have occafioned the lofs of many thoufand lives. The number of arches was 19, of unequal dimenfions, and greatly deformed by the fterlings and the houfes on each fide, which overhung and leaned in a moft terrific name. In moft places they hid the arches, and nothing appeared but the rude piers. Within recolle&ion, frequent arches of ftrong timber croffed the ftreet from the tops of the houfes to keep them together, and from falling into the river (a). Nothing but ufe could preferve / the quiet of the inmates, who foon grew deaf to the noife of the falling waters, the clamours of watermen, or the frequent flirieks of drowning wretches. In one part had been a drawbridge, ufeful either by way A o o of (a) The gallant adion of Edmund Offiorne, anceftor to the duke of Leeds, when he was apprentice to Sir William Hewet cloth-worker, may not improperly be mentioned in this place. About tue year 1536,. rvhen his mafter lived in one of thofe tremendous houfes, a fervant maid was playing with his only daughter in her arms in a window over the water, and accidentally dropt the child. Young Ofborne, who was witneis to the misfortune, inftantly fprang into the river, and beyond all expectation, brought her fafe to the terrified fa¬ mily ! Several perfons of rank paid their addreffes to her when ftie was marriageable, among others the earl of Shrewfbury 3 but Sir William gratefully decided in favour of Ofborne : OJborne, fays he,her, and OJborne Jlmll enjoy her. In her right he poffeffed a great fortune. He became ftreriff of London in I575> ant^ ^or<^ mayor in 1583. O N [ 188 ] LON ^dmiffion of Alps mo the upper in 1801, was a delign of MelTrs. Telford and Douglas, in which it is fnopofed to conflruft tlie bridge of a fingle arch, corapofed wholly of caft iron 5 the fpan of tne arch is to be 600 feet, being the width to which, by Mr Jell op’s report, the river ought to be contradfed. The boldnels and fimplidty of this defign render it an ob¬ ject of great attention, not only to the committee en¬ gaged in confidering the further improvement of the port of London, but to the public. No progrefs, we believe, has yet been made in the execution of this clan lendon. of defence or for the V Part 01 riie nver. This was proteded by a flrong to ;.er. It ferved to repulfe Falconbridge the Baftard in hxs general affault on the city in 1471, with a let of banditti, under pretence of rdcuing the unfortunate Henry, then confined in the Tower. Sixty houfes were burnt on the bridge on the occafion. It alfo i rn j ^ C^eC^’ an^ "l the enc^ annihilate, the ill-con- duded mfurredicn of Sir Thomas Wyat, in the reign of Queen Mary. The top of this tower, in the lad and turbulent days of this kingdom, ufed to be the mumbles or human flefii, and covered with heads or quarters or unfortunate partizans. Even fo late as the year 159S, Hentzner, the German traveller, with Ger¬ man accuracy, counted on it above 30 hcMs. The cud map of the city in 1597 reprefents them in a molt ornble cluller.—An unparalleled calamity happened on th:s bridge within four years after it was finilhed. A fire began on it at the Southwark end ; multitudes ot people rulhed out of London to extinguifii it j while they were engaged in this charitable defign, the fire jciztd cn the oppofite end, and hemmed in the crowd. Aoove 3000 perfons perifhed in the Harnes, or were drowned by overloading the vefl'els which were hardy enough to attempt their relief. The narrownefs of the palTage on this bridge having occafioned the lofs of many lives from the number of carriages continually palling ; and the llraitnefs of’the arches, with the enormous fize of the fterlings, which occupied one-fourth part of the water-wav, having al¬ io occaliened frequent and fatal accidents, as already mentioned ; the magiftrates of London in 1736 ob¬ tained an aff of parliament for improving and widen¬ ing the paffage over and through the bridge, which granted them a toll for every carriage and horfe paffing over it, and for every vefiel with goods palling through it : but thefe tolls proving infufficient, were abolilhed by an ad made in 1758 for explaining, amending, and rendering the former aft more effeaUal; and for grant¬ ing the city of London money towards carrying on that work. In confequence of thefe adls of parliament, a temporary wooden bridge was built, and the houfes on the old bridge were taken down. Inftead of a naiiow fireet 23. feet wide, there is now a paffage of 3 1 feet for carriages, with a railed pavement of Hone on each fide 7 feet broad for the ufe of foot paffen- gers. I he fides are fecured by Hone baluftrades, en¬ lightened in the night with lamps. The paffage through the bridge is enlarged by throwing the two middle arches into one, and by other alterations and improve¬ ments } notwithflanding which, however, it is Hill gieaJy fuojeft to its former inconveniences.—Under tne fiift, fecond, and fourth arches, from the north fide of the bridge, and now likewife towards the fouth- e:n extremities, there are engines worked by the flux and reflux of the river, the water of which they raife to lucn^ a height as to iupply many parts of the city. Inoie engines were contrived in 1582 by one Peter Monce a Dutchman, and are called London-brifoe water-woi-hs. By the report of a committee appointed to conlider of the requifite improvements in and about London, it was propofed to remove the prefent London bridge, and to replace it by one of call iron 63 feet high in the clear above high water. Part of the plan which came under the confideration of the committee London, ar tne north fide ot London bridge Hands the The W Monument, a beautiful and magnificent fluted column nument. °t the Doric order, built with Portland Hone, and erected m memory of the conflagration 1666. It was begun by Sir ChriHopher Wren in 1671, and finilh¬ ed by him m 1677. Its height from the pavement is 20 2 feet: 3 the diameter of the lhaft, or body of the co¬ lumn, is 15 feet 3 the ground-plinth, or lowefi part of the pedellal, is 28 feet fquare 3 and the pedelial is 4° feet high. Over ihe capital is an iron balcony en- ccmpaflihg a core 32 feet high, which lupports a blaz- ing urn of gilt brafs. Within is a large Haircafe of jo,a/,’ ,contain5ng 345 fteps, each 10 inches and a half broad, and fix inches thick. The welt fide is adorned with a curious emblem in alt-relief, denoting ine defirudtion and refioration of the city. 'The firfl female figure reprdents London fitting in’ruins, in a Enguiflung pofiure, with her head dejected, her hair dilheveiled, and her hand carelefsly lying on her fword. Behind is Time, gradually railing her up : at her fide is a woman touching her with one hand, wbilH a wing- ed Iceptre in the other direeffs her to regard the cr0d- deffes in the clouds 3 one with a cornucopia, denot- Plenty ; the other with a palm branch, the emblem oi fence. At her feet is a bee hive, fliowing, that by indufiry and application the greatefl misfortunes are to be overcome.. Behind the figure of Time are citizens exulting at his endeavours to reflore her 3 and beneath in the midfi of the ruins, is a dragon, who, as the lupporter of the city arms, with his paw endeavours to prelerve the fame. Oppofite to the city, on an ele¬ vated pavement, Hands the king, in a Roman habit with a laurel on his head, and a truncheon in his hand 3 and approaching her, commands three of his attendants to defeend to her relief. The firfl repre- fents the Sciences with a winged head and circle of naked boys dancing thereon 3 and holding Nature in her hand, with her numerous breads, ready to give affiflance to^ all. The fecond is Architecture, with a plan in one hand, and fquare and a pair of compaffes m tne other 3 and tne third is Liberty, waving a hat in the air,. Ihowing her joy at the pleafing profpea of the city’s fpeedy recovery. Behind the king Hands his brother the duke of York, with a garland in one hand to crown the rifing city, and a fword in the other for her defence. The two figures behind are JuJlice and Fortitude; the former with a coronet, and the latter with a reined lion ; and under the royal pavement lies Envy, gnawing a heart, and inceffantly emitting peHi- ferous fumes from her month. On the plinth the re- conflruaion of the city is reprefented by builders and labourers at work upon houfes. On the north, fouth, and call fides, are inferiptions relating to the defiruc- tion occafion.ed by the conflagration, the regulations about rebuilding the city, and ereaing the monument 3 and / LON [ 189 ] LON London, and round it is the following one :—“ This pillar was fet up in perpetual remembrance of the mqft dreadful burning of this Proteftant city, begun and carried on by the treachery and malice of the Popifti faition, in the beginning of September, in the year of our Lord 1666, in order to their carrying on their horrid plot for extirpating the Proteftant religion and old Engiifb liberty, and introducing Popery and ilavery.” Dr Wendeborn, in his account of London, ohierves, that the monument, though not much above too years old, bears viiible marks of decay already ; and it will not probably be long before it muft be pulled down. Some are of opinion that this is occalioned by the fault of the architedl, others by the continual (baking of the ground by coa.ches; but the doctor inclines to the 47 latter opinion. The rower. Eaftward of the bridge and monument (lands the Tower, which gives name to another ward. It is the chief fortrefs of the city, and fuppofed to have-been originally built by William the Conqueror. It ap¬ pears, however, to have been raifed upon the remains of a more ancient fortrefs, erected probably by the Ro¬ mans : for in 1720, in digging on the fouth fide of what is called Ceefar's Chapel, there were difcovered fome old foundations of (tone, three yards broad, and (o firongly cemented that it was with the utrnoft dif¬ ficulty they were forced up. The firft work (accord¬ ing to Mr Pennant) feems to have been fuddenly Hung up in 1066 by the Conqueror, on his taking pofleftion of the capital; and included in.it a part of the ancient wall. The great fquare tower, called the White Tower, was erected in the year 1078, when it arofe under the direttions of Gundulph biihop of Rochefter, who was a great military architect. This building originally flood by itfelf. Fitz-Stephen gives it the name of Arx Pa~ latina, “ the Palatine Tower j” the commander of which had the title of Palatine beftovved on him. With¬ in this tower is a very ancient chapel for the ufe of fuch of our kings and queens who wiftied to pay their de¬ votion here. In 1092 a violent temped did great in¬ jury to the Tower •, but it was repaired by William Rufus and his fucceffor. The firft added another ca- ftellated building on the fouth fide between it and the Thames, which was afterwards called St Thomas's Tower. The Tower was firft enclofed by William Long- champ bifhop of Ely and chancellor of England, in the reign of Richard I. This haughty prelate having a quarrel with John, third brother to Richard, under pretence of guarding againft his defigns, furrounded the whole with wails embattled, and made on the out- fide a vaft ditch, into which, in after times, the water from the Thames was introduced. Different princes added other works. The prefent contents within the walls are 12 acres and 5 rods, the circuit on the out- fide of the ditch 1052 feet. It was again enclofed with a mud wall, by Henry III. : this was placed at a diftance from the ditch, and occafioned the taking down part of the city-wall, which was refented by the citizens; who, pulling down this precinct of mud, were punifhed by the king with a fine of a thoufand merks. The Lions Toiver was built by Edward IV. It was originally called the Bulwark, but received the former name from its ufe. A menagery had very long been a piece of regal date : Henry I. had his at his manor of Woodftock, where he kept lions, leopards, lynxes, porcupines, and feveral other uncommon beads. They were afterwards removed to the Tower. Edward 11. commanded the fheriffs of London to pay the keepers of the king’s leopards fixpence a-day for the fufte- nance of the leopards, and three halfpence a-day for the diet of the keeper out of the fee-farm of the city. The royal menagery is to this day exceedingly well fupplied. In 1758 the Tower ditch was railed all round. New barracks were fome years ago eredled on the Tower wharf, which parts it from the river •, and upon the wharf is a line of 61 pieces of cannon, which are fired upon date holidays. On this fide of the Tower the ditch is narrow, and over it is a drawbridge. Parallel to the wharf, within the walls, is a platform 70 yards in length, called the Ladies Line, becaufe much fre¬ quented by the ladies in the fummer 5 it being (haded in the infide with a row of lofty treees, and without is a delightful profpect of the (hipping with boats paf- fing and repafling on 'the river Thames. You afcend this line by (tone Heps, and being once upon it you may walk almoft round th^ walls of the Tower without in¬ terruption. The principal entrance into the Tower is by a gate to the weft, large enough to admit coaches and heavy carriages $ but thefe are firft admitted through an out¬ ward gate, fituated without the ditch upon the hill, and muft pafs a flout (tone bridge built over the ditch before they can approach the main entrance. There is, befides, an entrance near the very fouth-weft corner of the Tower outward wall, for perions on foot, over the drawbridge already mentioned to the wharf. There is alfo a water-gate, commonly called Traitor's gate, through which it has been cuftomary to convey traitors and other (late prifoners to or from the Tower, and which is feldom opened on any other occafion ; but the lords committed to the Tower in 1 746 were publicly admitted at the main entrance. Over this gate is a regular building, terminated at each end by two round towers, on which are embrafures for pointing cannon. In this building there are the infirmary, the mill, and 'the water-works that fupply the Tower with water. In the Tower, the curiofities of which at? more particularly defcribed in the note (b), are a church, the offices of ordnance and of the mint, thofe of the keepers (b) In examining the curiofities of the Tower of London, it will be proper to begin with thofe on the outfide of the principal gate. The firft thing a (Danger ufually goes to vifit is the wild beads ; which, from their fituation, firft; prefent themfelves: for having entered the outer gate, and paffed what is called the fpur- guard, the keeper’s houfc prefents itfelf before you, which is known by a painted lion on the wall, and another over LON [ 190 ] LON keepers of the records, of the jewel office, of the Spa- nitli armoury, the horfe armoury, and the new or fmall armoury ; with barracks for the foldiers of the garrifon, and handfome houfes for feveral officers who refide here. The principal officers of the Tower are, a conftable, a lieutenant, and a deputy-lieutenant. Belonging to this fortrefs are 11 hamlets •, the militia of which, conMing of 400 men, are obliged, at the command of the con- liable of the Tower, to repair hither, and reinforce the London, garrifon. - —v--—* On Little Tower-hill is the ViBualling office for they r/*8. navy. It is feparated from Towerhill by a wall and office^ gate, and contains houfes for the officers, llaughter- houfes, ftorerooms, a brewhoufe, a falting-houfe, and barrelling-houfe ; under the direction of feven commif- lioners and other inferior officers. In over the door which leads to their dens. By ringing a bell, and paying lixpence each perfon, you may eafily gain admittance. The next place worthy of obfervation is the Mint, which comprehends near one-third of the Tower, and contains houfes for all the officers belonging to the coinage. On paffing the principal gate you fee the White lower, built by William the Conqueror. This is a large, fquare, irregular done building, lituated almoll in the centre, no one fide anfwcring to another, nor any of its watch-towers, of which there are four at the top, built alike. One of thefe towers is now converted into an obfervatory. In the firft dory are two noble rooms, one of which is a fmall armoury for the fea-fervice, it having various forts of arms, very curioufly laid up, for above 10,000 feamen. In the other room are many clofets and prefles, all filled with warlike engines and indruments of death. Over this are two other floors, one principally filled with arms j the other with arms and other warlike indruments, as fpades, (hovels, pickaxes, and chevaux de frize. In the upper dory -are kept match, (heep-lkins, tanned hides, &c. and in a little room called Julius Caefar’s chapel, are depofited fome records, containing perhaps the ancient ufages and cudoms of the place. In this building are alfo pre- ferved the models of the new-invented engines of deftru&ion that have from time to time been prefented to the government. Near the fouth-wed angle of the White Tower is the Spanifli armoury, in which are de¬ pofited the fpoils of what was vainly called the‘Invincible Armada •, in order to perpetuate to lated poderity the memory of that fignal viflory obtained by the Lngliffi over the whole naval power of Spain in the reign of Philip II. You are now come to the grand dorehoufe, a noble building to the northward of the White Tower, tha& extends 245 feet in length and 60 in breadth. It was begun by King James II. who built it to the fird floor ; but it was finiffied by King William III. who erefted that magnificent room called the New or Small Ar¬ moury, in which that prince, with Queen Mary his confort, dined in great form, having all the warrant work¬ men and labourers to attend them, d re fled in white gloves and aprons, the ufual badges of the order of ma- fonry. I o this noble room you are led by a folding door, adjoining to the eafi end of the Tower chapel, which leads to a grand daircafe of 50 eafy deps. On the left fide of the uppermod landing-place is the work-ffiop, in which are condantly employed about 14 furbiffiers, in cleaning, repairing, and newr-placing the arms. On entering the armoury, you fee what they call a wildernefs of arms, fo artfully difpofed, that at one view you behold arms for near 80,000 men, all bright and fit for fervice ; a fight which it is impoflible to behold without adonifiiment 5 and befide thole expofed to view, there were, before the late war, 16 cheds (hut up, each ched holding about 1000 mulkets. The arms were originally diipofed by Mr Harris, who con¬ trived to place them in this beautiful order, both here and in the guard-chamber of Hampton-court. He was a common gunfmith 5 but after he had performed this work, which is the admiration of people of all nations, he was allowed a penlion from the crown for his ingenuity. Upon the ground floor, under the fmall armoury, is a large room of equal dimenfions with that, fupported. by 20 pillars, all hung jound with implements of war. This room, which is 24 feet high, has a paltage in the middle 16 feet wide. At the fight of fuch a variety of the mod dreadful engines of dedru&ion, before whofe thunder the mod fuperb edifices, the nobled works of art, and numbers of the human fpecies, fall together in one common and undiftinguilhed ruin } one cannot help wiffiing that thole horrible inventions had dill lain, like a falfe conception, in the wTomb of nature, never to have been ripened into birth. The horfe armoury is a plain brick building, a little to the eadv/ard of the White Tovrer j and is an edifice rather convenient than elegant, where the fpe&ator is entertained with a reprefentation of thofe kings and heroes of our own nation, with whofe gallant anions* it is to be fuppofed he is well acquainted 5 fome of them equipped and fitting on horfeback, in the fame bright and (hining armour they were ufed to wTear when they performed thofe glorious afrions which gave them a didinguiflied place in the Britilh annals. Y ou now come to the line of kings, which your conductor begins by reverfing the order of chronology j fo that in following them we mud place the lad fird. In a dark, drong done room, about 20 yards to the eadward of the grand dorehoufe, or new armoury, the crown jewels are depofited. 1. The imperial crown, with wffiich it is pretended that all the kings of England have been crowned fince Edward the Confeffor in 1040. It (is of gold, enriched with diamonds, rubies, emeralds, fapphires, and pearls : the cap within is of purple velvet, lined with white taffetv, turned up with three rows of ermine. I hey are, however, midaken in (bowing this as the ancient imperial diadem of St Edward $ for that, with tne other mod ancient regaiia of this kingdom, was kept in the arched room in the cloiders in Wedminder Abbey till the civil war: when, in 1642, Harry Martin, by order of the parliament, broke open the iron ched in which it was fecured, took it thence, and fold it, together with the 3 robes, London. 49 Cuftom- lioufe. LON [i In Tower ward is alfo tlie Cujlomhoufe, a large, handfome, and commodious building of brick, and ftonc. It Hands upon the bank of the Thames, and is ac¬ commodated with large wharfs, keys, and warehoufes. On this fpot is the bufy concourfe of all nations, who pay their tribute towards the fupport of Great Hvr- tain. About the year 1559, t^ie to t^e revenue5 by collefting it in different part* of the city, was firfl difcovered, and an a6f paffed to compel people to land 1 ] LON their goods in fuch places as were appointed by the comminioners of the revenue } and this was the ipct fixed on : A cuftomhoufe was erefted *, which, ^being deftroyed by the great fire, was rebuilt by Charles 11. In 1 y 18 it underwent the fame fate, and was reilored in its prefent form. Before the cuffomhoufe was eftabliIhed here, the principal place for receiving the duties was at Billingfgate. In 1268 the half year’s cuftoms for foreign merchandife in the city of London came robes, fword, and fcepTe, of St Edward. However, after the Reftoration, King Charles II. had one made in imitation of it, which is that now fliown. 2. The golden orb, or globe, put into the king’s right hand before he is crowned : and borne in his left hand, with the fceptre in his right, upon his return into Weft- minfter-hall after he is crowned. It is about fix inches in diameter, edged with pearl, and enriched with, pre¬ cious ftones. On the top is an amcthyfi, of a violet colour, near an inch and a half in height, fet with a rich crofs bf gold, adorned with diamonds, pearls, and precious ftones. The whole height of the ball, and cup is ix inches. 3. The golden fceptre, with its- crofs fet upon a large amethyft of great value, garniftied round with table diamonds. Lhe handle of the fceptre is plain, but the pummel is fet round w-ith rubies, eme¬ ralds, and fmall diamonds. The top rifes into a Jleur de Us of fix leaves, all enriched with precious ftones, from whence iffues a mound or ball, made of the amethyft; already mentioned. The crofs is quite covered with precious ftones. 4. The fceptre, with the dove, th(? emblem of peace, perched on the top of a fmall Jerufalem crofs, finely ornamented with table diamonds and jewels of great value. This emblem, was firft uied by Edward the Confeffor, as appears by his feal j but the ancient fceptre and dove was fold with the reft of the regalia, and this now in the Tower was made after the Reftoration. 5* St Edward’s ftaff, four feet feven inches and a half in length, and three inches three quarters in circumference, all of beaten gold, which is carried before the king at his coronation. 6. The rich crown of ftate, worn by his majefty in paniament $ in which is a large emerald feven inches round ; a pearl efteemed the fineft in the world \ and a ruby of inefti- mable value, y. The crown belonging to his royal highnefs the prince of Wales. Ihe king wears his crown on his head when he fits upon the throne j but that ox the prince of Wales is placed before him, to fhow that he is not yet come to it. 8. The late Queen Mary’s crown, globe, and fceptre, with the diadem ftie wore at her coronation with her confort King William III. 9. An ivory fceptre, with a dove on the top, made for King James IL’s queen, whofe garniture is gold, and the dove on the top gold enamelled with white. 10. The curtana, or fword of mercy, which has a blade of 32 inches long, and near two broad, is without a point, and is borne naked before the king at his coronation, between the two (words of juftice, fpiritual and temporal. 11. The golden fpurs, and the armillas, which are bracelets for the wrifts. Ihefe, though very antique, are worn at the coronation. 12. The ampulla, or eagle of gold, finely engraved, which holds the holy oil the kings and queens of England are anointed with *, and the golden fpoon that the biihop pours the oil into. Thefe are two pieces of great antiquity. The golden eagle, including the pedeftal, is about nine inches high, and the wings expand about feven inches. The whole weighs about ten ounces. The head of the eagle fcrews off about the middle of the neck, which is made hollow fpr holding the holy oil ; and when the king is anointed by the biihop, the oil is poured into the fpcon out of the bird’s bill. 13. A rich faltfeller of ftate, in form like the fquare White Tower, and fo exquifitely wrought, that the workmanlhip of modern times is in no degree equal to it. It is of gold, and ufed only on the king’s table at the coronation. 14. A noble filver font, double gilt, and elegantly wrought, in which the royal family are chriftened. 15. A large filver fountain prefented to King Charles II. by the town of Plymouth, very curioufiy wrought 5 but much inferior in beauty to the above. Befides thefe, which are commonly fhown, there are in the jewel office ail the crown jewels worn by the princes and princefles at coronations, and a great variety of curious old plate. The record office conftfts of three rooms, one above another, and a large round room, where the rolls are kept. Thefe are all handfomely wainfcotted, the wainfcot being framed into preffes round each room, within which are Ihelves and repofttories for the records j and for the eafier finding of them, the year of each reign is infcribed on the infide of thefe preffes, and the records placed accordingly. Within thefe preffes, 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 j the ancient tenures of all the lands in England, with a furvey of the manors j the original of laws and ftatutes j proceedings of the courts of common law and equity •, the rights of England to the dominion of the Britiffi feas j leagues and treaties with foreign princes: the achievements of England in foreign wars 5 the fettlement of Ireland, as to law and dominion 5 the forms of fubmiffion of fome Scottiffi kings for territories held in England j ancient grants of our kings to their fubjeiBs; privileges and immunities granted to cities and corporations during the period above mentioned j enrol¬ ments of charters and deeds made before the conqueft 5 the bounds of all the forefts in England, with the feveral refpeiftive rights 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 conftcintly 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 excepted. A fearch here is half a guinea, for which you may perufe any one fub* jeft a year. London. L O N . 5° Trinity Houfe. 51 The Mi- 52 India Com¬ pany’s 'warehoufe: came only to 75I. 6s. lod. ; the annual produce of the cuftoms, ending in April 1789, amounted to 3,7M,T 261. In Water-lane, a little to the north-wed: of the Cuflomhoufe, is the Irimty Iloije ; a fociety founded in 1515, at a period in which the Brititidi navy began to a flume a fyftem. The founder was Sir Thomas Spert, comptroller of the navy, and commander of the great fhip Henry Grace de Dieu. It is a corporation, confiding of a mailer, four wardens, eight affiit- ants, and eighteen elder brethren ; feledted from com¬ manders in the navy and the merchants fervice j and now and then a compliment Is paid to one or two of our firil nobility. They may be confidered as guardians of our ihips, military and commercial. Their powers are very extenfive : they examine the ma- thematicial children of Chrift’s hofpital, and the maders of his majedy’s (hips ; they appoint pilots for the river l names; fettle the general rates of pilotage 5 eredt light houfes and fea marks ; grant licenfes to poor feamen, not free of the city, to row on the Thames; prevent foreigners from ferving on board our ihit s without licenie ; puniih feamen for mutiny and defer- Lion ; hear and determine complaints ot officers and men in the merchants fervice, but liable to appeal to the judge of the court of admiralty ; fuperintend the deepening and cleanfing of the river Thames, a d have under their juriidicfion the ballad office ; have powers to buy lands, and receive donations for chari¬ table ufes ; and in confequence, relieve annually many thoufands of poor feamen, their widows, and orphans. It is in this houfs the bufinefs of the inditution is carried on : but the mother houfe'is at Deptford, the corporation being named, “ the mader, wardens, and affidants of the guild or fraternity of the mod glori¬ ous and undivided Trinity, and of St Clement, in the pariffi of Deptford Strond, in the county of Kent.” Between Aldgate and the Tower is the dreet called the Minor;es, from fame poor ladies of the order of St Clare, or minorefles. They had been invited to London by Blanch queen of Navarre, and wife to Ed¬ mund earl of Lancader, who founded a convent for them in 1293. On the fuppreffion of the monaderies it was converted into a dwelling houfe for ffime of the nobility, and is now in ‘he pofieffion of the Dartmouth family, dill of late years, the Minories were but a defpicable dreet} but have now been excellently re- builtv and are as elegant as any in the city. On the wed fide of the city walls at this place, dood the houfe of the Crunched or CroJJed Friars, an order inflituted at Bologna in 1169, and of which a branch fettled in England in 1 244, where they were accom¬ modated with a houfe in this place by two citizens named Ralph Hqfler and William Sabernas, who became members of their order. Henry VIII. granted their houfe to Sir Thomas Wyat the elder, who built a handfome manfion on part of the ground where it dood. This manfion became afterwards the refidence 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 remov- ’ed to Somerfet-houfe, the India Company have erect¬ ed in its place a med magnificent warehoufe, in form of an oblong fquare of about 250 feet by 160, enclof- L 192 ] L O N ing a court or 130 by 60 feet, the entrance to which London. is by an arched gateway. ' .-Billingfgate vvai'd is didinguiffied by its market, • Bii/ingfgate was a imall port for the reception of fhip-gate!^ ping, and for a confiderable time the mod important place for the landing of aimed every article of com¬ merce. In the time of King William, Eiilingfgate began to be celebrated as a ftth-mavket. In 1699 it was by act of parliament made a free port for fith to be fold there every day except Sunday •, but Mr Pen¬ nant informs us, that the objeft of this has long been frudrated, and that fifli are now no longer to be had there in perfeclion. The fame author gives a lid of the fiffi which in the time of Edward HI. were brought to the London market; the monarch himfelf having condefcended to regulate the prices, that his fubjefts might not be irnpofed upon by thofe who foid them. Among thefe were the conger-eel and porpoife, neither of which is now admitted to any table. A pike at that time cod 6r. 8d.; whence cur author concludes, that it was an exotic fiffi, and brought oyer at a vad expence. Some fifties are mentioned^in his Hit with which this naturalid owns himfelf unac¬ quainted, viz. the barkey, b?’an, batrile, cropling, and rumb. In Archbiffiop Nevill’s great fead is mention¬ ed alfo a fitffi named thirle-poole, unknown at prefent. Seals were formerly accounted a filli ; and thefe, to¬ gether with the durgeon and porpoife, were the only freffi fidi permitted by the 3^ of Henry VIII. to be bought of any dranger at fea between England, France Flanders, and Zealand. ° ’ ^ Limedreet ward is remarkable for a very large build- Leaatlihall. ing of great antiquity, called Leadenha/l, with fiat battlements leaded on the top, and a fpacious fquare in the middle. In 1309 it was the houfe of Sir Hugh Nevill, knight; in 1384, of Humphry Bohun earl of Hereford ; in 1408 it became the property of the ce¬ lebrated Whittington, who prefented it to the mayor and commonalty of London; and in 1419, a public granary was erefted here by Sir Sifnon Eyre, a citi¬ zen and draper, who built it with done in its prefent form. This granary was defigned as a prefervative againd famine, and to be kept always full of corn, whnffi defign was ror fome time happily anfwered. The houfe came to be ufed for many other purpofes befides that of a granary ; as for keeping the artillery and arms, of the city. Preparations for any kind of pageantry or ti’umph were alfo made here ; .and from its drength the place was confidered as the chief fortrefs within the city in cafe of any popular infurre&ion, and was likewife the place from whence alms were didributed. In this edifice are warehoufes for the fale of leather, Col- cheder baize, meal, and wool. Adjoining to Leaden- hall is a market, thence called Leadenhallmarket con- diting of five confiderable fquares or courts, and rec¬ koned one of the greated markets in Europe for fiedi and other prpvifions; as well as for leather green hides, and wool. • A little to the eadward is -- the India lloufe, built in 1726, on the fpot occupied The India-- by Sir William Craven, mayor in 1610. AccordingHoufe- to Mr Pennant, this houfe “ is not worthy of the lords of Indodan.” In Broad-dreet is the Bank of England, a done build- Bam?of ing, which occupies one fide of Threadneedle-drcet.England. I he centre, and the building behiijd, were founded LON londcti. in the year 1733 > the architedl Georg< —y ; jvefore that time the bufinefs was tranfaCted in Gro- cers-hall. The front is a fort of veitibule 5 the bafe ruliic, 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 mil liens is punftually difeharged. Of late years two wings of uncommon elegance, detigned by Sir Robert Taylor, have been added, at the expence of a few houfes, and of the church of St Chriftopher’s le Stocks. “ T he name of the projector of this national glory (fays Mr Pennant), was Mr James Paterfon of Scotland. This palladium of out country was in 17 So laved from the fury of an infamous banditti by the virtue of its citizens, who formed fuddenly a volunteer company, and overawed the mifereants ; while the chief magiRrate ikulked trembling in his manlion-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 charadlers who would drive to preferve the city rights at the expence of the national deftrudfion. A lord mayor was the laft who interefted himfelf by applying to Mr Grenville, who gave him to under- 11 and, that if the guards were not quietly permitted to difeharge their duty, the bank would be removed to Somerfet-houfe.” At the extremity of Tbreadneedle-ffreet is Mer- chant- Taylors Hall. In this ilreet alfo is the South Sea Houfe, firil eflablilhed in 1711 for the purpofe of an exclulive trade to the South fea, and for fupplying Spanidi America with negroes. Near the junction of Throgmorton-dreet with Broad-dreet dcod 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 u’as dedroyed in the great tire, but rebuilt for the ufe of the company in a magnificent manner. Mr Pennant informs us, that St Giles's church in the fields, and a few houfes to the wed of it, in the year 1600, were barely feparated from Broad-drert. The church is fuppofed to have belonged to an hofpital for lepers, founded about the year' 1117, by Matilda queen to Henry I. In ancient times it was cudomary here to prefent to malefaftors, on their wTay to the gallows (which, about the year 1413, was removed from Sraithfield, and placed between St Giles’s high-dreet and Hog lane (c), a great bowl of ale, as the lad refrelhment they were to receive in this kfe. On the door to the churchyard is a curious piece of feulpture, reprefenting the lad day, containing an amazing number of figures, let up about the year Vol. XII. Part I. f 193 - ] L O N' Sampfon. 1686. This church was rebuilt in 1625. By the Tor.Ioa. amazing railing of the ground by filth nnd vari- ous adventitious matter, the door in the year 173° 57 Merchant- Taylors Hall, Sic. 5s St Giles’s. * -rr • r . , order. On the diffolution ol the mo-Winchefter great part of the houle was granted to eight feet below the furface acquired in the intervening time. This alone made it neceffary to re¬ build the church in the prefent century. The fird done was laid in I’jgo } it was finilhed in 1734. at the expence' of io,oool.— In the churchyard is a great fquare pit, witb many rows of coffins piled one upon the other, all expofed to fight and frnell, the latter of which is highly offenfive il not dangerous. On the wed dde of Broad dreet dood the houfe of the Augudines, founded by Humphrey Bohun earl of Somerfet in 1253, for friars and hermits of the Augudine naderies, William Lord St John, afterwards marquis of Win- cheder, and lord treafurer, who founded a magni¬ ficent houfe named Winchejler-houfe. The wed end of the church wTas granted in 1551 to John & Lafco for the ule of the Germans and other fugitive Protedants, and afterwards to the Dutch as a place for preach¬ ing. A part of it was alfo converted into a glafs- houfe for Venice glafs, in which the manufadlure was carried on by artids from that city, and patronifed by the duke of Buckingham. The place was afterwards converted into Pinners-ha/l, belonging to the company ol pinmakers. ^ To the eadward of Winchefler-dreet dood the houfe Qre^rMH of that very eminent merchant Sir Thomas Greffiam, af- College, terwards known by the name of Grepsarn college: (See Gresham:) It has been pulled down not many years gj ago ; and the Excife Office, a mod magnificent and at Excife the lame time dnople building, rofe in its place. Mr Office. Pennant informs us, that from the 5th of January 1786 to January 5th 1787, the payments into this office amounted to no lefs than 5,33 1,11 4I. 6s. io-§-d. The Royal Exchange, which is the meeting place of Royal Ex the merchants of London, Hands in the ward of^ange. Cornhill, and is the fined and dronged fabric of the kind in Europe. It was founded in the year 1566. Sir Thomas Grediam merchant in London, made an bffer to the lord mayor and citizens, to build, at his own expence, a commodious edifice for mer¬ chants to meet and tranfaft bufinefs, provided the city would find him a convenient fituation for the fame. Mr Pennant informs us, that one Richard Clough a Weldunan, originally Sir Thomas’s fervant, fird put him on this defign by a letter from Antwerp, in which he reproached the London merchants with having no place to tranfaft their bufinefs, but walking about in the rain, more like pedlars than merchants. The ci¬ tizens, in compliance with Sir Thomas’s defire, pur- B b chafed, (c) Lhis late place of execution, according to Mr Pennant, was called in the time of Edward III. when the gentle Mortimer finilhed his days here, the Elms: but the original as well as the prefent name wras Ty- hourne ; not from tye and burn, as if it were called fo from the manner of capital puniihments •, 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 conqued. Here was alfo a village and church denominated St John the Evangelif, which fell to decay, and vvas fucceeded by that of Mnry bonrne, corrupted into Mary la-bonne. In 1626, Queen Henrietta Maria was compelled by her prie' * • r,ke walk bv way of penance to Tyburn. What her offence was we are not told ; but Charles was f gtulcu a-, this infoknee, that he foon after lent them and all her maiedy’g French fervants out of the kingdom. LON [194 ] L O N London, clvafed, fov the furti of 3532I. So lioufes in the two v alleys called New St Chriftopher1 s and Swan-alley, lead¬ ing out of Cornhill into Threadneedle-flreet, The materials of thofe houfes were fold for 47 81. and the ground, when cleared, was conveyed to Sir Thomas Grelham, w’ho, accompanied by feveral aldermen, laid the firft brick of the new building on the 7th of June that year. Each alderman alfo laid his brick, and left a piece of gold for the workmen ; who fet about it with fuph affiduity and refolution, that the whole fabric wTas roofed by the month of November 1567, and was foon after completed under the name of the Eurfe. This building was totally deftroyed by the j&re in 1666; and in its place the prefent magnificent ftrufture was eredled at the expence of 8o,oool. which Hands upon a plat of ground 203 feet in length and 171 in breath, containing an area in the middle, of 61 fijuare perches, furrounded with a fubftantial and regular Hone building, wrought in ruftic. It has two fronts, north and fouth, each of which is a piaz¬ za j and in the centre are the grand entrances into the area, under a very lofty and noble arch. The fouth front in Cornhill is the principal; on each fide of which are Corinthian demi-columns, fupporting a compafs pediment; and, in the intercolumniation on each fide, in the front next the ftreet, is a niche, with the ftatues of King Charles I. and II. in Roman ha¬ bits, and well executed. Over the aperture, on the cornice between the two pediments, are the king’s arms in relievo^ on each fide of this entrance is a range of windows placed between demi-columns and pilaifers of the compofite order, above which runs a baluftrade. This building is 56 feet high ; and from the centre, in this front, rifes a lanthorn and turret 178 feet high, on the top of which is a vane of gilt brafs made in the ftiape of a gralhopper, the creft of Sir Thomas Grelham’s arms. The north front in Threadneedle-ftreet is adorned with pilafters of the eompofite order j but has neither columns nor ftatues on the outfide j and has triangular, inftead of com¬ pafs, pediments. The in fide of the area is alfo fur- Londc rounded with piazzas, forming ambulatories for mer- ''•“'"v* chants, &c. to fhelter themfeives from the weather, when met there upon bufinefs. Above the arches of this piazza is an entablature with curious orna¬ ments : and on the cornice a range of pilafters with an entablature extending round, and a compafs pedi¬ ment in the middle of the cornice of each of the four fides. Under the pediment on the north fide are the king’s arms; on the fouth, the city’s arms 5 on the eaft, Sir Thomas Greftiam’s arms ; and on the weft, the mercers arms, with their refpeftive enrichments. In thefe intercolumns are 24 niches, 20 of which are filled with the ftatues of the kings and queens of Eng¬ land. Under thefe piazzas, within the area, are 28 niches, all vacant but that in which Sir Thomas Gre¬ ftiam’s ftatue is placed in the north-weft angle, and that in the fouth-weft, wdiere the ftatue of Sir John Barnard w7as placed in his lifetime by his fellow-citi¬ zens to exprefs their fenfe of his merit. The centre of this area alfo is ornamented with a ftatue of King Charles II. in a Roman habit, Handing upon a marble pedeftal about eight feet high, and encompalfed with iron rails; which pedeftal is enriched on the fouth fide with an imperial crown, a feeptre, fword, palm- branches, and other decorations, with a very flattering infeription to the king. On the weft fide is a Cupid cut in relievo, refting his right hand on a ftiield, wuth the arms of France and England quartered, and hold¬ ing a rofe in his left hand. On the north fide is an¬ other Cupid fupporting a ftiield, with the arms of Ireland j and on the eaft fide are the arms of Scot¬ land, with a Cupid holding a thiftle ; all done in re¬ lievo: the whole executed by that able ftatuary Mr Gibbon. In this area, merchants, and fuch as have bufinefs with them, meet every day at change hours } and for the more regular and readier defpatch of bufinefs, they, difpofe of themfeives into feparate walks, according to the following plan. North. Threadneedle-Street. Eaft country walk. Iriih walk. Scotch walk. Dutch and Jewellers. Clothiers walk. Silkmens walk. Turkey walk. Hamburgh walk. Salters walk. Grocers and Druggifts walk. Virginia walk. Jamaica walk. Brokers of Stock, &c. walk. Italian walk. ?r Spanilh wTalk. Jew§ walk. CZJ §. 5* t5* Cornhill. 'South. In ^3 General Poft Office, 64 -The Man- fion-houfe. LON [19 London. In building this expenfive Itruchire there was an eye —■' not only to magnificence, and to accommodate the merchants, 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 2CO lliops, which were let out to haberdalhers, milliners, &c. and which for feveral years were well occupied. But thefe lliops have now for a long time been deferted, and the galleries are let out to the Royal Exchange Affurance- Olfice, the Merchant-feamen’s Office, the Marine So¬ ciety, and to audfioneers, &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 depofite their pepper. In the turret is a good clock, with four dials, which is well regulated every day, fo that it becomes a ftandard of time to all the mercan¬ tile part of the town 5 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 fhops that furround it, and are built within its w^alls j and which are occu¬ pied by bookfellers, toymen, cutlers, hofiers, watch¬ makers, &c. South of the Royal Exchange, and near the wreft . extremity of Lombard-ftreet, is the General Pojl Office, which is a handfome and commodious building. In Walbrook ward is the Manjion-houfe, for the re- fidence of the lord mayor. This edifice was begun in 1739, and finifhed in 1753. It is built of Portland ftone, with a portico of fix fluted columns, of the Corinthian order, in the front. The bafement ftory is very mafly, and confifts of ruftic work ; in the centre «f it is the door, w'hich leads to the kitchen, cellars, and other offices. On each fide riles a flight of fteps, leading up to the portico, in the middle of wdiich is the principal entry. The ftone baluftrade of the flairs 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 extremely heavy building, of an oblong form, and its depth is the long fide, having feveral magnificent apart¬ ments, which are not, however, wTell lighted, on account of the houfes that furround it. „ Behind the Manfion-houfe is St Stephen's Church, in Walbrook, juftly reputed the mafterpiece of the celebrated Sir Chriftopher Wren, and is faid to ex¬ ceed every modern ftrudlure in the world in proportion and elegance. The Manfion-houfe, and many adjacent buildings, ftand on the place where the Stocks-market once flood. This took its name from a pair of flocks eretted near the fpot in 12815 and was the great market of London gg for provifions during many centuries. London- In this ward is fituated one of the moft remarkable ftone. pieces of antiquity in London. It is a great ftone, now ftanding in a cafe on the north fide of Canon- flreet, clofe under the fouth wall of St Swithin’s church. It is called Lotidon-Jione; and was formerly pitched edgeways on the other fide of the ftreet, oppo- fite to wrhere it now Hands, fixed deeply in the ground, and ftrongly faftened with iron bars *, but for the con- veniency of wheel-carriages it was removed to its pre- fent fituation. This ftone is mentioned fo early as the time of Athelflan, king of the Weft Saxons, and 65 St Stephen Church. 5 3 L O N has been carefully prefcrved from age to tige. Of the London, original caufe of its ereftion no memorial remains; but ' ^ J it is conjeflured, that as London was a Roman city, this ftone might be the centre, and might ferve as an objeft from wdiich the diftance was computed to the other confiderable cities or ftations in the province. ^ In Dowgate ward is a noted academy, called .Mi?/*-Merchant- chant-Taylors School, from its having been founded by laylors the merchant-taylors company, in the year 15614 Iti,c ‘'J0“ was deftroyed by the fire of London in 1666, but was rebuilt, and is a very large ftruflure, with commodi¬ ous apartments for the mafters and ulhers, 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 efta- blifhed at Oxford 46 fellowlhips for fcholars elecled from this fchool. 68 The church of St Mary le Bow, in Cordwainers- St Mary k ftreet ward, is the moft eminent parochial church in the Low. city. It wras originally built in the reign of William the Conqueror ; and being the firft church the fteeple of which was embelliflied with ftone arches or bows, took thence its denomination of le Bow. It was burnt down in the fire of 1666, but foon afterwards rebuilt. The fteeple of this church is reckoned the moft; beauti¬ ful of its kind in Europe. In Cheap w7ard is Guildhall, or the tovvnhoufe of Guildhall. 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 chara&er is alfo due to the two gi¬ gantic effigies which ftand 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 Englifti fove- reigns and judges. In this building are many apart¬ ments for tranfa Sion College, founded in 1627, on the fite of Elfing-iege. hofpital (d) or priory, by Dr Thomas White, vicar of St Dunflan’s in the Weft, for the improvement of tne Eondon clergy j 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 elected, on Tuefday three wrecks after Eafter, a preftdent, 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, redlor of St Olaves, who fuperintended the building, added, at his own expence, for the ufe of the ftudious part of the London clergy, a library 1 20 feet long, and amply filled with bocks. In this w'ard is a hall which belonged to the com- 7s pany of barber-burgeons, the profeflions of barber and h^13 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 tovrers or bar¬ bicans of London wall. The anatomical theatre is elliptical, and very finely contrived. This hall is now called Barbers hall; the furgeons, who difdained to be any longer affociated with their ancient brethren, hav¬ ing obtained a feparate charter, and built themfelves a new hall in the Old Bailey. Farringdon w'ard within, is diflinguilhed by the c, moft magnificent Proteftant church in the world, the cathedral, cathedral of St Paul. The belt authority we have for the origin of this church, is from its great reftorer Sir Chriftopher Wren. His opinion that there had been [ rp6 1 (D) This was founded by \\iliiam Elfing mercer in 1329 (on of a decayed nunnery), for the fup- port of 100 blind men. He afterwards changed it into a priory, and became himfelf the firft prior, who with four canons-xegular were to fuperintend the miferable ebje&s. \ L^don. \ LON [ 107 1 LON a cburch on this Ipot, built by the Cbriflians in the time of the Romans, was confirmed : when he fearch- ed for the foundations for nis own delign, he met with thofe of the original prtjbi/teriuni, or femicircular chancel, ti^e old church. They confided only of Kentish rubble done, artfully worked, and conlolidated with exceedingly hard mortar, m the Roman manner, much excelling the fuperftruilure. He explodes the notion of there having been here a ten.pie of Diana, and the difeovery of the horns of animals ufed in the fierifices to that goddefs, on which the opinion had been founded, no fuch having been difeovered in all his fe arches. The fir ft church is fuppofed to have been deftroyed in the Diocletian perfecution, and to have been re¬ built in the reign of Conftantine. This was again bemoliihed by the pagan Saxons; and reftcred, in 60s, by Sebert, a petty prince, ruling in thefe parts, under Ethelbert king of Kent, the firft_ Chriftian monarch of the Saxon race j who, at the inftance of St Auguftine, appointed IMelitus the firft biftrop of London. Evkemvald, the fon of King Ofta, fourth in fuoceftion 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, reftored them to health ! When the city of London was deftroyed by fire, in 1086, this church was burnt ; the biihop Mauritius began to rebuild it, and laid the foundations, which remained till its fecond deftruftion, from the fame caufe, in the laft century. Notwithftanding Mauri¬ tius lived twenty years after he had begun this pious work, and Bithop 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 beftowed on him, as materials for the building ; and Henry I. beftowed on Beauvages part of the ditch belonging to the Tower, which, with purchafes made by himfelf, enabled him to en- clofe the whole with a wall. The fame monarch grant¬ ed, beudes, that every ihip which brought ftone for the church, ftiould be exempted from tell j he gave him alfo all the great fiih taken in his precin&s, except the tongues j and, laftly, he fecured to him and his fuccef- Tor the delicious tythes of all his venifon in the county of LiYex. The ftyle of the ancient cathedral was a moft beau¬ tiful Gothic } over the eaft end was an elegant cir¬ cular window; alterations were made in the ends of the two tranfepts, io that their form is not delivered down to us in the ancient plans •, and from the central tower rofe a lofty and moft graceful fpire. 1 he dimen- fions, as taken in 1309, were thefe: I ne length fix hundred and ninety feet ; the breadth a hundred and twenty 5 the height of the roof of the weft part, from the floor, one hundred and two ; oi the eaft part, a hundred and eighty-eight; of the tower, two hundred and fixty j of the fpire, which was made of wood cover¬ ed with lead, two hundred and feventy-four. d. he whole fpace the church occupied was three acres, three roods, and twenty-one perches. We may be aftoniftied at this amazing building, and naturally inquire what fund could fupply money to fupport fo vaft an expence. But monarchs refigneif their revenues reflating from the cuftoins due for the materials, which were brought to the adjacent wharfs •, they furniilied 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 ot this realm moft amazing fums. Pope Innocent HI. in 1252, gave a releafe oi fixty days penance j the archbitiiop of Cologne gave, a few years before, a re¬ laxation of fifty days} and Boniface archbiihop ot Canterbury, forty days. The high altar dazzled with gems and gold, the gifts of its numerous votaries. John king of France, when prifaner in England, firft paying his refpedis to St Erkenwald’s fhrine, offered four bafons of gold : and the gifts at the obfequies of princes, foreign and Britifh, were of immenfe value. On the day of the converfion of the tutelar faint, the charities were pro¬ digious, firft to the fouls, when an indulgence of forty days pardon was given, vere pcEnttenlibur, contntis et confe/jis; and, by order of Henry III. fifteen hundred tapers were placed in the church, and fifteen thoufand poor people fed In the churchyard. The holinefs of this place did not prevent thieves and profligates of all denominations from lurking within the precincts, and committing, under the favour of the night, murders and every fort of crime. Edward I. gave the dean and canons permiflion to enclofe the whole within a wall \ and to have gates to be fhut every night, to exclude all diforderly people. Within thefe walls, on the north-weft fide, was the bifhop’s palace. Froiffart tells us, that after the great tour¬ nament in Smithfield, King Edward III. and his queen lodged here, on occafion of their nuptials (e).—In 3561, the’noble fpire was totally burnt by lightning, and never reftored. In confequence of the refolutions taken in 1620, by James L London. (e) Before this cathedral was the famous Paul's Grofs, 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. I he greateft part of the congregation fat in the open air ; the king and his train had covered galleries •> and the bet¬ ter fort of people were alio protected from the injury of the weather 5 but the far greater part flood 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 protect the congregation in inclement feafons. Coniiderable 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 univerfities. In particular, the lord mayor and aldermen ordered that every preacher, who came from a diftance, fhould be freely accommodated, during five days, with fweet and convenient lodgings, fire, candle,-, LON [ i -• 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, w^en Laud laid the firft ftone, and Inigo the fourth. That great architeft begun with a moft notorious impropriety, giving to the well end a portico of the Corinthian order, beau¬ tiful indeed, to this ancient Gothic pile ; and to the ends of the two tranfepts Gothic fronts in a moll hor¬ rible llyle. The great fire made way for the reltoring of this magnificent pile in its prefent noble form by Sir Chriltopher Wren, an architect worthy of fo great a defign. It is built of fine Portland Hone, in form of a crofs. On the outfide are two ranges of pilafters, confiding of a 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 great variety of curious enrichments, as are alfo thofe above. On the north fide is a portico, the afcent to which is by twelve deps of black marble, and its dome iupported by fix very large columns. Over the dome is a pediment, the face of which is engraved wfith the royal arms, regalia, and other ornaments. On the fouth is a portico, the afcent to which is by twenty- five deps, and its dome fupported by fix columns, cor- refpending with thofe on the north fide. The wed front is graced with a mod magnificent portico, fup¬ ported by twrelve lofty Corinthian columns: over thefe are eight columns of the compofite order, which fup- port a noble pediment, crowmed with its acroteria, and in this pediment is the hidory of St Paul’s converfion, boldly carved in bas relief. The afcent to this portico is by a flight of deps of black marble, extending the whole length of the portico $ and over each corner of the wed front is a beautiful turret. A vad 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 againd others within. ,Thefe are terminated by their entablature, which fupports a handfome gallery, adorn¬ ed rvith a done baludrade. Above the columns lad mentioned is a range of piladers, 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 crowned with a copper ball, fupporting a crofs, both finely gilt. Within, the cupola dands on eight dupendous pillars, curioufly adorned : the roof of the choir is fupported 'tiy fix pillars, and that of . the church by two ranges, 98 ] LON confiding of twenty more. The roof of the church and choir is adorned with arches and fpacious periphe¬ ries of enrichments, admirably carved in done. 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 fird done of this fuperb edifice was laid on June 21, 1675 > and the building was completed in 1710 j but the whole decorations were not finiflied till 1723. It wras a mod fingular circumdance, that, not- withdanding it was 35 years in building, it w'as begun and finiflied by one architpfl, 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¬ tects. It is not, as often midaken, built after the mo¬ del of that famous temple : it is the entire conception of our great countryman, and has been preferred in fome refpe&s, 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 j that of St Paul’s 340 feet; fo that, from its fituation, it is lofty enough to be feen from the fea. The length of the fird is 729 feet; of the latter, 500. The great- ed 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 Par/Z's ’ivalh; and is mentioned in the old plays and other books of the times. Nothwithdanding the magnificence of this noble pile, however, it is remarked to have many defefts. Its fituation is fuch, that it cannot be viewed at a didance. The divifion of the porticos, and the whole druflure, into two dories on the outfide, certainly indicates a like divifion wfithin, which is acknowledged to be a f^ult. The dome, it has alfo been obferved, bears too great a proportion to the red of the pile, and ought to have been raifed exactly in the centre of the building ; be- fides that, there ought to have been two deeples at the ead end, to correfpond with thofe at the wed. On entering this church, we indantly perceive an obvious deficiency, not only of elevation but length, to aflid the perfpe(5live; and the columns are heavy and clumfy, rather encumbering the profpecl than enriching it. St Paul’s occupies an area of fix acres, and is railed all round with iron baludrades, each about five feet and a 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 fceptre in one hand, and a globe Londojj. candle, and all necefiaries. And notice was given by the biflhop of London, to the pfeacher appointed by him, of the place he was to repair to. \\ e hear of this being in ufe as early as the year 1 259. It was ufed, as Mr Pennant obferves, not only for the inftrudion of mankind by the doflnne of the preacher, but for every purpofe political or ecclefiaftical ; for giving force to. oaths, for promulging of laws, or rather the royal plealure, for the emidion of papal bulls, for anathematizing finners, for benedictions, for expofing of penitents under cenfure of the church, for recan¬ tations, for the private ends of the ambitious, and for the defaming of thofe who had incurred the difpleafure of crowned heads. It.was. demolithed in 1643 by order of parliament, executed by the willing hands of I fa ac-Pennington the fanatical lord mayor of that year, who died in the Tower a conviCled regicide. '.London. So College of Phyficians. Si Chrift’s Holpital. Sa Doclors Commons. 83 , College of Heralds. LON f 1 glube in ihe other, furrounded with four emblematical ' 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 50C0I. a-year; and the whole expence of the building is iaid to have amount¬ ed to 736,752!. 2s. 3d. On the call fide of the cathedral is St Pau/'s School, founded in 1509 by Dr John Collet dean of this church, who endowed it for a principal mailer, an un- der-maller, a chaplain, and 153 fcholars. In Warv.ick-lane, in the fame ward, Hands the Col¬ lege of Physicians, eredled in 1682 by Sir Chriftopher Wren. It is built of brick, and has a fpacious Hone 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 difleftion. Adjoining to Chrift-church in Newgate-ftreet is ChriJPs Hofpital, which, before the diffolution of mo- nafteries by Henry VIII. was a houfe of Gray-friars. The hofpital was founded by King Edward VI. for fupporting and educating the fatherlefs children of poor freemen of this city; of whom io©o of both fexes are generally maintained in the houfe or out at nurfe, and are likewife clothed and educated. In 1673, a mathematical fchool wras founded here by Charles II. endowed with 320I. a-year*, and a w?rit- ing 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 Cent 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 ruffet 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 prelident 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 1666, but was foon repaired, and has been fince increafed with feveral additions. The principal buildings, which form the four fides of an area, have a piazza round them with Gothic arches, and the w7alls are fupported by abutments. The front is more modern, and has Doric pilafters fupported on pedeftals. In Caftle-Baynard ward is a large ftrufture called Doffors Commons. It confifts of feveral handfome pa¬ ved courts, in w>hich the judges of the court of admiral¬ ty, thofe of the court of delegates, of the court of arches, and the prerogative court, with the dodlors that plead caufes, and the profiors of the place, all live in a col¬ legiate way y and from commoning together, as in other colleges, the name of Dodlors Commons is de¬ rived. Here courts are kept for the trial of civil and ecclefiaflical caufes under the archbifhop of Canterbury and the bifhop of London. The college has an excel¬ lent library, every bifhop at his confecration giving 25I. or 50J. towards purchafing books for it. Near Dodlors Commons, on St Bennet’s Hill, is the College of Heralds, who w'ere incorporated by King Richard HI*. Befides the chief officer, who is the earl-marfhal of England, here are three kings at arms, London,. 84 99 ] L O N viz. Garter, Clarencieux, and Norroy, with fix herald*, four purfuivants, and eight proctors. Garter attends the inftalments of knights of that order, carries the garter to foreign princes, regulates the ceremonies at coronations, and the funerals of the royal family and nobility : Clarencieux directs the funeral ceremonies of thofe under the degree of peers fouth of Trent 5 and Norroy performs the like office for thoie 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 snd 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 foim rly 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 Saiifhury-court was given to the biftiops of Salilbury for their town refidence *, and the eaft part, which was rebuilt by King Henry VIII. is the prefent Bridewell. It w*as granted to the citv by Edward VI. as an hofpital; and he endowed it for the lodging of poor travellers, and for the corredlion of vagabonds, ftrumpets, and idle perfons, as well as for finding them work. In one part of the building 20 artificers have houfes j and about 150 boys, di- ftinguifhed by white hats and blue doubtlets, are put apprentices to glovers, ftaxdrefiers, weavers, &c. and when they have ferved their time are entitled to the freedom of the city, with tol. towards carrying on their refpeftive trades. The 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 in 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. Oppofite to Fleet-ditch, over this part of the river, Blackfriars Hands B lad friars Bridge; a moft elegant ftruclure, Bridge, built after the defign of Mr Robert Mylne. The fituation of the ground on the two ftrores obliged the arebiteft to employ elliptical arches y which, however, have a very fine effedl. The number of arches is nine j 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 effeft from the river. This bridge was begun in 17605 and finiihed in 1768, at the expence of 152,840!. to be difekarged 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 dilcovers the majefty of St Paul’s in a very ftriking manner. Wefl Smithfeld. In this ward is an area containing Smithfiekf. three acres of ground, called in old records Smithfeld- Pond or Horfe-Pool, it having been formerly a watering place for horfes. It was in ancient times the common place of execution y and at the fouth-w'eft corner there was a gallows called the Elms, from ^number of elm- trees London. S7 St Bartho¬ lomew’s .Hofpital. 88 Old Bailey Sp Newgate. po _ Bleet-pri- fon. LON [ 200 trees that grew in the neighbourhcoc!. It was like- wife the fcene of public jults and tournaments, and has been a market-place for cattle above 500 years. On the fouth fide of this area, and contiguous to Chrill’s hofpital, is St Barlholemew's Hofpital. It was originally founded foon aber the acceflion of Henry I. by Rahere the king’s jeiter, ks an infirmary for the priory of St Bartbolemew the Great, which then Hood near the fpot. But upon the difiblution of religious houfes, Henry VIII. refounded it, and endowed it with 500 marks a-ycar, on condition that the citizens {liquid pay the fame fum annually for the relief of 100 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 erefted towards Smithfield, adorned with pilaflers, entablature, and a pediment of the Ionic order, with a ftatue of King Henry VIII. Handing in a niche in full proportion, and thofe of two cripples on the top of the pediment over it. In 1720, a plan was formed for rebuilding the reft of this hoipi- tal, in confequence ®f which a magnificent edifice has been ere&ed. Among many other privileges granted by Henry I. to the prior and canons of the monaftery of St Bar¬ tholomew the Great, and to the poor of the infirmary, was that of keeping a fair in 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 erefled in it by the acfors of the theatres, for the exhibition of dramatic performances of various kinds; and it be- game at length a fcene of fo much licenticufneis 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 wrard, called the Old Baiky, is a hall named fujlice hall, or the Sejfiotfs hoife, where a court is held eight times a-year by the king’s com- miflion 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 5 who are attended by the ftieriffs and by one or more of the national judges. In this ftreet is alfo the great criminal prifon, lately built in a much more convenient fituation, and on a more enlarged plan, than the former prifon, called Newgate: by which name it is ftill diftinguilhed. Here the unfortunate debtor will no longer be an¬ noyed by the dreadful rattle of chains, or by the more horrid founds iffuing from the lips of thofe wretched beings who fet defiance to all lavrs divine and human 5 and here alfo, the offender, whofe crime is not capital, may enjoy all the benefits of a free open air. In this ward is likewife a prifon called the Fleet Prifon, from a fmall river named the Fleet which for¬ merly ran by it : this building is large, and reckoned the belt in the city for good rooms and other conve- 2 LON niences. It has the benefit of a large yard, which is Lcndovi. enclofed with a very high wall. This prilon is as an-' v~ ■“ cient as the reign of Richard I. and belongs to the court of ehancery, &.c. In Chancery-lane, in this ward, is, an office ccnfift-The Rolls, ing of a houfe and chapel, called the othce and chapel of the Rolls, from being' the great repofitory of the modern public rolls and records of the kingdom. This building was originally tbe lioufe of an eminent Jew j but being forfeited to the crown, King Henry III. in the year 1223 converted it into a hofpital for the reception and accommodation of Jewifti and other pro- lelytes. In 1377, Ldvtard 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 diftrict confiding of about 200 houfes, called the Liberty of the Rolls, over which the magiftrates of London have no authority, it being under the government of the mafter of tbe rolls. In this ward are feveral Inns of court and chancery, particularly the Inner and Middle Temple, Serjeants Inn, Clifford’s Inn, Barnard’s Inn, Staple’s Inn, and Furnival’s Inn. The T< triple received its name from being originally The Tem- founded by the Knights Templars, who lettled here pie. in 1185. It was at firft called the New Temple, to diftinguifti it from the former houfe of the Knights Templars, which flood 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 K fights Templars, the New Temple devolved to the K-iights Hofpitallers of St John of Jerufalem, who granted a leafe of it to the ftudents of the common law, and converted that part of it called Inner and Middle Temple into txvo inns of court for the ftudy and prac¬ tice of the common lawn The Outer Temple became a houfe for tbe earl of EPfex. The buildings of tbe Temple efcaped the fire in 1666. but w*ere molt of them deftroyed by fubfeouent fires, and have iince been rebuilt. The tw?o Temples are each divided into feveral courts, and have pleafant gardens on the banks of the Thames. They are ap¬ propriated to diftinft focieties, and have feparate halls, where the members dine in common during term-time. The Inner Temple hall is Lid to have been built in the reign of Edward III. and the middle Temple hall, which is a magnificent edifice, w-as rebuilt in T 972 in form of a college hall. The Middle Temple gate, Mr Pennant informs us, was erected by Sir Annas Powlet on a fingular occafion. It ieems that Sir A- mias, about the year 1501 thought fit to put Cardi¬ nal Wolfey, then parfon of Lymington, into the flocks. In 153 5, being fent for to London by the cardinal on account of that ancient grudge, he was commanded not to quit town till farther orders. In confequence, he lodged five or fix years in this gatew ay, which he rebuilt -, and to pacify his eminence, adorned the front w’ith the cardinal’s cap, badges, cognifance, and other devices of this butcher’s fon j fo low were the great mtn LON [ London, men obliged to ftoop to that meteoi* of the times . —v 1 Each temple has a good library, adorned with^ paint¬ ings, and well furnilhed with books. An aflembly, 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 nSy, by the Knights Templars; but the prefent edifice is fuppofed to have been built in 1420. It is fupported by neat (lender pillars of Suffex marble, and is one of the moft beautiful Gothic flruflures in Eng¬ land. In this church are many monuments, particu¬ larly of nine Knights Templars cut in marble in full proportion, Tome of them (even 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 majler of the Temple, is appointed by the benchers or fenior 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 white and red rofe originated ; the diftinftive badge of the houfes of York and Lancafler, under which the refpedtive partizans of each arranged themfelves in the fatal quarrel which caufed fuch torrents of Englifh blood to flow. Near the Temple bar is the Devil''s Tavern, fo called from its fign of St Dunllan feizing the evil fpirit by the nofe with a pair of hot tongs. Ben Johnfon has im¬ mortalized it by his Leges Conviviales, which he wrote for the regulation of a club of wits held in a room he dedicated to Apollo; over the chimney-piece of w’hich 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 wfith the title of King of Skinhers. Serjeants Inn is a fmall inn in Chancery-lane, where the judges and ferjeants have chambers, but not houfes, as they had in another inn of this name in Fleet-ftreet, 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 wras ori¬ ginally a houfe granted by Edward II. to the family of the Cliffords, from which it derived its name ; but wTas afterwards 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 Gray’s Inn. It Bands in Holborn, and v/as the houfe of John Mackworth, dean of Lincoln, w'ho gave it to the profeffors 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 fbple for wool, whence it derives its name ; but it was purchafed by the benchers of Gray’s Inn, and has been an inn of chancery fince the year 1415. Fur- nival's Inn is an inn of chancery belonging to Lincoln’s Inn, and was once the houfe of the family of the Furni- vals, by whom it w’as let out to the profeffors of the law. It is a large old building,with a hall and a pleafant garden. Bethlehem In Coleman-ftreet ward, on the fouth fide of a large Hbfpital. fquare called Moorfelds, flood Bethlehem Hofpital, found¬ ed in 1675 by the lord mayor and citizens of London for the reception and cure of poor lunatics. It was a noble edifice, built with brick and Hone, and adorned with pilaflers, entablatures, and fculpture ; particularly with the figures of two lunatics over the grand gate, Vol. XII. Part h London. 93 Inns of Chancery, 201 ] L O N which are well executed. This building was 543 feet long and 40 broad, exclufive of two wings of a later v eredlion, intended for the reception of fuch lunatics as were deemed incurable. This hofpital contained a great number of convenient cells or apartments, where the patients wrere maintained and received all medical affifi> ance without any other expence to their friends than that of bedding. The ftruQure was divided into two ftories, through each of which ran a long gallery from one end of the houfe to the other. On the fouth fide were the cells, and on the north the windows that -gave light to the galleries, which wrere divided in the middle by handfome iron gates, to keep the men and wminen feparate. This hofpital being pulled down, it is intend¬ ed to ereft another building for the ufe of the fame charity, a ta fliort diftance from the metropolis. Anew road is to be opened from the fite of the old hofpital to the Royal Exchange. 95 Oppofite to Bethlehem hofpital flood that of St St Luke’s Luke, a long plain building, till of late appropriated to the lame 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 objedls which were offered. Of late years the patients were removed from the old hofpital to a new one erefled under the fame name in Old-llreet, on the plan of the former, extending in front 492 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 pay¬ ment of five (hillings a week; fo that their friends may, if they choofe, try a fecond time the force of medicine on their unhappy relations or acquaintances. 96 Befides the three markets already mentioned atDifferent Smithfield for cattle and hay, at Leadenhall for but-mar^etl' chers meat, wool, hides, and Colchefter baize, and at Billingfgate for fifh; there are in this city the fol¬ lowing other markets, which are all very confiderable, viz. Honey-lane, NewTgate, and Fleet-market, chiefly for fielh, though with feparate divifions for fi(h, but- ter, eggs, poultry, herbs, and fruit; and the Three- Cranes market, for apples and other fruit. The princi¬ pal corn-market is held in a neat exchange fituated in Market-lane, and that for flour at ()ueenhithe. In Thames-ftreet, near Billingfgate, there is an exchange for dealers in coals and mafters of veffels in that trade to tranfaft their bufinefs. 97 II. The Borough of Sovtbjvark. It wras called by 2-B0rough the Saxons Suth, or the “ South wTork,” in refpeft to fome fort or fortification bearing that afpedt from junfdio London. It was alfo called the Borough, or Burg, tiov, probably from the fame reafon. It was long inde¬ pendent of the city of London : but, in confideration of the inconveniences arifing from the efcape of ma- lefaflors from the great capital into this place, it was in 1327 granted by Edward III. to the city, cm pay¬ ment of 10I. annually. It was then called the village of Southwark ; it was afterwards ftyled the bailiwick of Southwark, and the mayor and commonalty of Lon¬ don appointed the bailiff. This power, however, not being fufficient to remedy the evil, a more intimate connexion was thought neceffary ; 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 C c privileges London. , 98 Courts. 99 Pa ilt ns. 100 Pariflies, &c. LON [20 privileges enjoyed there by the archbifhop of Canter¬ bury and forr.e other ecclefiaftics. In confequence of this, it was fubje&ed to the-lord mayor of London, with the fteward and bailiff. But Southwark being divided into two parts, this is to be underffood of the divifion called the Borough Liberty, which confifts of three of the parifhes belonging to the town, with the greater part of a fourth parilh. 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- paffes within the limits of his jurifdicHon. 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 fubdi- vifions a court-leet is held, where the conftables, ale¬ conners, and flefh-tafters, are chofen, and other bufi- nefs of this kind tranfadled. A court-houfe, called Union Hall, has lately beea built in the new ftreet called Union-Jlreet, which leads in a direfl: line from the high-ftreet in the Borough to Great Surry-ftreet Blackfriars road. The Clink liberty is under the ju- nfdidlion of the bifhop of Winchefter, 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- therhjthe, three fmall diftridls adjoining to the Borough. —There is a compter for the imprifonment of offen¬ ders in the bailiw ick, and another for the Clink liberty ; to which may be added the Surry workhoufe for va¬ grants. Befides thefe, there is the Marftialfea-prifon, which is the county gaol for felons, and the admiralty gaol for pirates (g) ; in which is a court firft eredled for trials of caufes between the king’s domeftics or me¬ nial fervants, of which the knight-marlhal is prefident, and his fteward judge, to wrhom 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 ftriking or infulting him on the bench. In this prifon the allowance is fomewhat bet¬ ter than that of the common prifons j 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 hiftory is on oc- cafion of Earl Goodwin’s failing up the river to at¬ tack the royal navy of 50 fhips lying before the palace of Weftminfter : this was in 1052, when we are told he went ad Suthweorce, and ftaid till there the re¬ turn of the tide. Southwark confifts of the parithes of St Olave, 1 LON St Saviour, St George, and St Thomas ; the parifti of London. Chrift-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 w’as called St Mary Over Ree, or Overy, by which appellation it is commonly known. This church is built in the man¬ ner of a cathedral, with three aifles from eaft to welt, and a crofs aifle. It is reckoned the largeft parifti- church in England, the three aides firft mentioned meafuring 269 feet in length, and the crofs aide icp 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 Suffolk, the • deferved favourite of Henry VIII. After his death, in 1345, it came into the king’s hands, who eljablidied here a royal mint. It at that time was called South- zvark P/ace, and in great meafure prelerved its dig¬ nity. Edward VI. once dined in it. His fifter and fucceffor prefented it to Fleath archbidrop 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 fandluary for infolvent debtors -, but at length becoming the pert 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 aw’ay its abufive privileges. IOI In the pariflr of Chrift-church, near the water on Ancient Bankfide, flood Paris-garden, one of the ancient play_ places of di- houfes of our metropolis. Ben Johnfon is reproachedvcrll0n' by one Decker, an envious critic, with his ill fuccefs on the ftage, and in particular with having performed the part of Zuliman at Paris-garden. It feems to have been much frequented on Sundays. This pro¬ fanation (Mr Pennant obferves) w-as at length fully punifhed 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 ere£ted into a parifti, and a church founded under the name 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 beares, bulls, and other beafts to be bayted j as alfo maftives in feveral kennels nourifhed to bayt them. Thefe beares and other beafts are there kept in plots of ground fcaffolded about for the beholders to ftand fafe.” This was then an amufement for perfons of the firft rank : eur great, if not good, Elizabeth caufed the French ambafiadors to be carried to this theatre, to divert them with thefe bloody fpe&acles. io5 Not far from thefe fcenes of cruel paftime was the The Stews, Bordello (g) In 1377 ppf°n was broken open by a mob of failors, who murdered a gentleman confined in it for killing one of fheir comrades, and who had been pardoned by the court. It was again broken open by W at Tyler and his followers in 1381. It efcaped in the infamous riots of 1780 , while the King’s Bench, the Borough Pri- fon, and the Clink Prifon,^ were nearly at the fame inftant facrificed to their %y. LON [ London, bordello or Stews, permitted and openly licenfed v government, under certain laws or regulations. They were farmed out. Even a lord mayor did not difdain to own them : but rented them to the Yroes, that is, “ the bawds,” of Flanders. Among other fingular regulations, no ftewholder was to admit married wo¬ men y nor were they to keep open their houfes on Sun¬ days ; nor were they to admit any women who had on them the perilous infirmity of burning. Thefe infamous houfes wrere very properly fuppreffed in the reign of Henry VIII. The biihop of Winchefter had formerly a palace here with a park (the fame that is now called Sout/i- wark-fiark), which is fince converted into warehoufes and tenements, held by leafe from the bilhops of that 103 lee. St Thomas’s Befides feveral alms-houfes, there are here St Tho- Hofpital. mas's and Guy's Hofpitals, two of the noblefl: endow¬ ments in England. The former was firft ere&ed in 1215 by Peter de Rupibus bilhop of Winchefter, who endowed it with land to the amount of 343k a-year j from which time it was held of the abbots of Bermond- fey, one of whom in 1428 granted a right to the^mafter of the hofpital to hold all the lands it was then in pof- feflion of belonging to the faid abbot and convent, the whole revenue of which did not exceed 266I. 17s* per annum. In the year 155*» after the citizens of London had purchafed of Edward VI. the manor of Southwark and its appurtenances, of which this hof¬ pital was a part, they expended iiool. in repairing and enlarging the edifice, and immediately received into it 260 patients j upon which the king in 1553 incorporated this hofpital with thofe of Chrift-church and Bridewell in the city of London. 1 he building being much decayed, three beautiful fquares adorned with colonnades were eretled by voluntary fubfeription in 1693, to which in 1732 the governors added a mag¬ nificent building, confiding or feveral wards with pro¬ per offices. The annual dilhurfements of this hofpital have for many years amounted to 8000I. Ihe houfe is divided into 19 wards, and is faid to contain 474 beds. Adjoining to St Thomas’s Hand Guy's Hofpital, per¬ haps the^moft extenfive charitable foundation that ever was eftablilhed by one man in private life. The found¬ er 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 238,292!. 16s. including the expence of the building, to finifti 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 firft governors were appointed in 1725• In St George’s Fields, weftward of the King’s Bench prifon, is the Magdalen Hofpttal for the reception of penitent proftitutes •, a little farther is fituated the Afy- lum for orphan girls-, and not far diftant is the Weft- minfter Lying-in Hofpital : Inftitutions, of which the following feeling and animated account is given by Mr Pennant. “ The Hfylum is an inftitution of a moft heavenly nature, calculated to fave from perdition of foul and body the brighter part of the creation •, fuch on whom Providence hath'bellowed angelic faces and elegant forms, defigned as bleffings to mankind, but too often 104 Guy’s Ho¬ fpital. i°5 The Afy- lum. 203 ] LON by debafed to the vileft ufes. The hazard that thefe inno- London. cents conftantly are liable to from a thoufand tempta- ~ tions, from poverty, from death of parents, from the diabolical procurefs, and often from the ftupendous wickednefs of parents therafelves, who have been known to fell their beauteous girls for the purpofe of proftitu- tion, induced a worthy band to found in the year 1758 the Afylum or Houfe of Refuge. Long may it flounlh, and eternal be the reward of thofe into whofe minds fo amiable a conception entered ! 106 “ To afford means of falvation to thofe unhappy'Tie Mag- beings who had the ill fortune to lofe the benefits of Ho this divine inftitution, the Magdalen Hofpital was infti- d tuted for the reception of the penitent proftitutes. To fave from vice, is one great merit. To reclaim and re- ftore to the dignity of honeft rank in life, is certainly not lefs meritorious. The joy at the return of one fin* ner to repentance is efteemed by the higheft authority worthy of the heavenly hoft. That eeftafy, I truft, this inftitution has often occafioned. Since its foundation in the fame year with the former, to December 25. 1786, not fewer than 2471 have been admitted. Of thefe (it is not to be wondered that long and evil habits are often incurable) 300 have been difeharged, uneafy under con- ftraint $ 45 proved lunatics, and afflifted with incurable fits j 6o have died 5 52 never returned from hofpitals they were fent to j 338 difeharged for faults and irre¬ gularities. How to be dreaded is the entrance into the bounds of vice, fince the retreat from its paths is fo difficult! Finally, J608 prodigals have been returned to their rejoicing parents j or placed in reputable fer- vices, or to honeft trades, banes to idlenefs and fecuri- ties againft a future relapfe.” Into this charity, every woman who has been feduced (and is not pregnant or difeafed), whether recommended or not, may apply for admiflion to the committee, who meet for that purpofe on the firft Tuefday in every month. toy Akin to thofe charities is that of the Lying-in Hofpi- Lying-in tal: which is not intended merely for the reception 01 a° “ the honeft matron who can depolite her burden with the confcioufnefs of lawful love -, but alfo for the un¬ happy wretches wdiom fome villain in the unguarded moment has feduced, and then left a prey to defertion of friends, to poverty, want, and guilt.—Left fuch ‘ may be driven to defpair by fuch complicated mifery, and be tempted to deftroy themfelves and murder their infants,’ here was founded in 1765 this humane preven¬ tive, the Weftminfter New Lying-in Hofpital, in which every affiftance and accommodation requilite in fuch fi- tuations are provided in the moft attentive and liberal manner. To obviate all objection to its being an en¬ couragement to vice, no one is taken in a fecond time : but this moft excellent charity is open to the w'orthy diftrefled matron as often as neceffity requires. None are rejected who have friends to recommend. And of both defer!ptions upwards of 4000 have experienced its falutary effeft.” lag St George’s Fields are now almoft covered with new St George’s erefled buildings, from the ditch at the end of Great Fields. Surry-ftreet, or Burrow-’s Buildings, to the Fiftimong- ers alms-houfes, in one dire&ion •, and from the Mar- ffialfea prifon to the Dog and Duck, in the other direc¬ tion •, with feveral irregular indentations in its circumfe¬ rence : And where the principal roads meet, an obelilk has been ere&ed, pointing out the diftance it hands C c 2 from London. 109 Lambeth Palace, LON [ 204 ] LON from different parts of London, Weftminfter, and Black- friars bridges. Among the' buildings which ferve to embellith and improve this entrance to London, Cha- tham-fquare and Bridgeftreet-Blackfriars may be parti¬ cularly fpecified. At Lambeth, the archbifhops of Canterbury have had a palace. According to Mr Pennant, it was in the earlier times a manor, poffibly a royal one : for the great Hardiknut died here in 1042, in the midft of the jollity of a wedding dinner •, and here, without any for¬ mality, the ufurper Harold is faid to have fnatched the crown and placed it on his own head. At that period it was part of the edate of Goda, wife to Walter earl of Mantes, and Eufface earl of Boulogne; who pre- lented it to the church of Rochefter, but referved to herfelf the patronage of the church. It became in j 197 the property of the fee of Canterbury, by ex¬ change tranfadfed between Glanville bifliop of Rochef- ter and the archbilhop Hubert Walter. The building was improved by Langton the fucceffor of Walter ; but it was afterwards negledled and became ruinous. “ No pious zeal (fays Mr Pennant) reflored the place, but the madnefs of prieftly pride. Boniface, a wrathful and turbulent primate, eledted in 1244, took it into his head to become a vifitor of the priory of St Bartholo¬ mew, to which he had no right. The monks met him with reverential refpedi, but affured him the office did not belong to the bifhop. The meek prelate ruffied on the fub-prior, knocked him down, kicked, beat, and buffeted him, tore the cope off his back, and ftamped on it like one poffeffed, while his attendants paid the fame compliments to all the poor monks. The people enraged at his unprieftly conduft wmuld have torn him to pieces; when he retired to Lambeth, and, by way of expiation, rebuilt it with great magnificence. At a fubfequent period it was very highly improved by the munificent Henry Chichely, who enjoyed the primacy from 1414 to 4443. I lament to find fo wmrthy a man to have been the founder of a building fo reproachful to his memory as the Lollards tower, at the expence of near 280I. Neither Proteftants or Catholics ffiould omit vifiting this tower, the cruel prifon of the unhappy follow'ers of Wickliffe. The vaft ftaples and rings to which they T.vere chained before they were brought to the flake, ought to make Proteflants blefs the hour which freed them from fo bloody a religion.” During London. the civil wars of the laid century* this palace fuffiered ' v" ' greatly ; but at the Refloration, the whole was repaired by Archbiihop Juxton. IIO The pariih church of Lambeth (h), which is at a and Church, fmall difiance from the palace, has a plain tower; and the architedlure is of the Gothic of the time of Ed¬ ward IV. It has very little remarkable in it, except the figure of a pedlar and his dog, painted in one of the windows; and tradition fays, that the parifh wras obliged to this man for the bequefi of a piece of land, which bears the name of the Ped/ar's )lcre. In the churchyard is the tomb of old Tradefcant. Both father an d fon were great travellers ; and the former is fuppo- fed to have vifited Ruffia and moil parts of Europe, Turkey, Greece, many of the eaftern countries, Egypt, and Barbary ; out of which he introduced multitudes of plants and flowers, unknown before in our gardens. The monument is an altar tomb ; embellifhed with em¬ blematical fculptures ; and bearing the following in- fcription, which is both Angular and hiilorical: Know, ftranger, ere thou pafs, beneath this Hone Lye John Tradefcant, grandfire, father, fon ; The laft dy’d in his fpring ; the other two Liv’d till they had travell’d Art and Nature through. As by their choice colleftions may appear, Of what is rare, in land, in fea, in air; Whilft they (as Homer’s Iliad in a nut) A world of wonders in one clofet fliut : Thefe famous Antiquarians, that had been Both gardeners to the Rofe and Lily Queen, Tranfplanted now' themfelves, fleep Here ; and when Angels (hall with their trumpets waken men, And fire (hall purge the world, thefe hence ffiall rife, And change this garden for a paradife. From Lambeth, eaftw'ard along the river fide, Lambeth was-once a long trafl of dreary marffi, and fliH Marfti. in parts called Lambeth Marjh; about the year 1560, there w'as not a boufe on it from Lambeth pa- II2 lace as far as Southwark. In a ftreet called A^r-Great Ma- row-voall (from one of the ancient embankments) isnufactories, Mrs Conde’s noted manufaclory of artificial flone (1) : And at a fmall diftance, Meff. Beaufoy’s (k) great work (h) In defcribing this church, Mr Pennant takes occafion to mention the fad example of fallen majefty in the perfon of Alary d’Efle, the unhappy queen of James II.; who, flying with her infant prince from the ruin im¬ pending over their houfe, after croffing the Thames from the abdicated Whitehall, took Ihelter beneath the an¬ cient walls of this church a whole hour, from the rain of the inclement night of December 6. 1688. Here fhe waited with aggravated mifery, till a common coach, procured from the next inn, arrived, and conveyed her to Gravefend, from whence ffie failed, and bade 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 moll elegant chifel, is here to be obtained at an eafy rate. (k) “ Where (fays Air Pennant) the foreign wines are moll admirably mimicked. Such is the prodigality and luxury of the age, that the demand for many forts exceeds in a great degree the produce of the native vine¬ yards. 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 confumed in our capital, have been the produce of our home wine preffes. The produfl of duty to the flate from a Angle houfe wTas in one year, from July 5. 1785 to July 5. 1786, not lefs than 73^3^* 9s* 84-d. "I he genial banks of the Jhames pppofite to our capital, yield almoft every fpecies of white wine ; and, by a wondrous magic, Meff. Beaufoy pour forth the materials for the rich Frontiniac, LON [ 205 ] LON London. ”3 3. City and Liberties of Weftn.in- fter. 114 Govern¬ ment of Weftmin- fter. work for making wines, and that for making vine¬ gar (l). This ground, fo profitable to the proprietors, and fo produftive of revenue to the date, was within me¬ mory the fcene of low ditTipation. Here Hood Cuper’s garden, noted for its fireworks, and the great refort of the profligate of both fexes. This place was ornament¬ ed with feveral of the mutilated ilatues belonging to Thomas earl of Arundel, which had been for that pur- pofe begged from his lordfhip by one Boyder Cuper, a gardener in the family. The great timber yards be¬ neath which thefe antiquities were found, are very rvell worthy of a vifit. One would fear that the foreds of Norway and the Baltic would be exhauded, to fupply the wants of our overgrown capital, were we not affured that the refources will fuccedively be increafed equal to the demand of fucceeding ages.—In this pariih are alfo vad didilleries, formerly the property of Sir Jofeph Mawbey ; where are feldom lefs than 2000 hogs, which are fed entirely on grains. III. City and Liberties of Westminster. The city of Wedminder derives its name from a minfter, or ab¬ bey, and wef, on account of its fituation with refpeft to St Paul’s cathedral, which was formerly called Eajl- minjler. In ancient times this didridl dood upwards of a mile from the city of London, and contained only two parhhes, 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 Field’s, St Anne’s, St James’s, and St George’s Hanover-fquare. Wedminder was anciently called Thorny If and, from its having been covered with thorn budies, and encom- paffed by a branch of the Thames, which is faid to have run through the ground now called St James's Park, from wed to ead, and to have rejoined the river at Whitehall. Till the general diffolution of religious houfes, Wed- minder was fubjefl to the arbitrary rule of its abbot and monks; but in 1541, upon the furrender of Wil¬ liam Benfon the lad 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 bhhop of London. This bifhoprick, how¬ ever, foon after its inditution, was diiiblved by Ed¬ ward VI. The city of Wedminder is governed by a high deward, an office of great dignity, who is ufually one London, of the fird peers in the realm ; and is chofen for life ' v" by the dean and chapter of the collegiate church of St Peter. There is alfo a deputy dewajrd and a high bailiff, wrho alfo hold their offices for life \ being no¬ minated by the dean and chapter, and confirmed by the high deward. The dean and chapter are inveded with an ecclefiaf- tical and civil jurifdiclion within the liberties of Wed¬ minder, 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 biffiop of London and the archbiffiop of Canterbury. u- St Margaret's Church was founded by Edward the Churches. Confeffbr, fince which time it has been frequently re¬ built. In the ead end of this church is a window cu- rioudy painted, with the hidory of the crucifixion, and with the figures of feveral apodles and faints finely executed. It formerly belonged to a private chapel at Copt-hall, near Epping in Eflex, and was purchafed by the officers of this pariih, fome years ago for 400 guineas. In this church the houfe of commons attends divine fervice on date holidays. The church of St John the Evangelif was erefled in 1728, and having funk confiderably whild it was build¬ ing, occafioned an alteration of the plan. On the north and fouth fides are magnificent porticoes, fupported by vad done pillars, as is alfo the roof of the church ; at each of the four corners is a beautiful done tower and pinnacle, which were added with the view of making the whole dnnffure fink equally. The parts of this building are held together by iron bars, which run acrofs even the aides. II(j The mod remarkable dru£lure in Wedminder is the Weftmin- abbey-church of St Peter. On its fite 'dood once a ^er Abbey, temple of Apollo, which according to tradition was ^ thrown down by an earthquake in the time of Antoni- 1 nus Pius •, and from the ruins of which Sebert king of the Wed Saxons raifed a Chriffian church, which was ruined by the Danes. It was repaired by Edward the Confeffbr, and given to a few monks; and this fpot he chofeLor his burial-place. Henry III. 160 years after, took down this fabric of Edward’s, and eredled a new church, which was 50 years in building. It fuffered much by fire in 1274, but was repaired by Edward I. Edward II. and the abbots. In 1700 this church being much decayed, the parliament granted money for re¬ pairing it, and has frequently repeated the bounty fince that time. The form of the abbey is that of a long crofs : Frontiniac, to the more elegant tables ; the Madeira, the Calcavella, and the Lifbon, into every part of the kingdom.” (l) “ There is a magnificence of bufinefs (our author remarks) in this ocean of fweets and fours that cannot fail exciting the greateft admiration ; whether we confider the number of veflels or their fize. The boafted tun at Heidelberg 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 circu’ar turret, including a winding ftaircafe, which brings you to their fum- mits, which are above 24 feet in diarrieter. One of thefe confervatories is full of fweet wine, and contains ,-8,109 gallons, or 1811; barrels of Winchefter meafure. Its fuperb affbciate is full of vinegar, to the amount of 56,799 s?al]ons> or 1774 barrels of the fame ffandard as the former. The famous German veflel yields even to the laff by the quantity of 40 barrels.—Befides thefe, is an avenue of leffer veflels, which hold from 32,500 to 16,974 gallons each. After quittinor this Brobdignagian fcene, we pafs to the acres covered with common bar¬ rels : we cannot diminilh our ideas fo fuddenly, but at firft we imagine we could quaf ver did the little hogfheads of the kingdom of Lilliput.” quaff them off as eafily as GullL 'London. ”7 Henry VII.’s cha¬ pel. L O N [ 2 c crofs : its greateft length is 489 feet, and the breadth ' of the weft front 66 feet $ the length of the crofs aille is 1 89 feet, and the height of the roof 92 feet. At the weft end are two towers : the nave and crofs aide are fupported by 50 (lender pillars of Suffex marble, ex- clufive of pilafters. In the upper and lowTer ranges there are 94 wdndows, all which, with the arches, roofs, and doors, are in the Gothic tafte. The hftide of this church is much better executed than the outfide : and the perfpeftive is good, particularly that of the grand aide. The choir, from which there is an afcent by fe- veral fteps to a fine altar-piece, is paved with black and white marble 5 having 28 (tails on the north, the fame number on the fouth, and eight at the weft end. The altar is made of a beautiful piece of marble, the gift of Queen Anne, enclofed by a curious baluftrau^ and upon a pavement of porphyry, jafper, Lydian, and ferpentine (tones, laid in the mofaic (tyle, at the ex¬ pence of Abbot Ware, A. D. 1272 j and is faid to be one of the melt beautiful of its kind in the world. On each fide of this altar a door opens into St Ed¬ ward’s chapel ; round w'hich are 10 other chapels, ranging from the north to the fouth crofs aides, and are dedicated, 1. To St Andrew. 2. To St Michael. 3. To St John Evangelift. 4. Idip’s chapel. 5. To St John Baptift. 6. To St Paul. 7. Henry V.’s cha¬ pel. 8. To St Nicholas. 9. To St Edmund. 10. To St Benedhft. In St Edward’s chapel are (till to be feen the remains of his (hrine •, which, though now in obfeurity, and robbed of all its riches and luftre, wTas once efteemed the glory of England, fo far as art and riches could make it. Here are the tombs of King Edward I. and feveral other kings and queens of England j and here alfo is drown the famous chair in which the kings of Scotland ufed to be crowned at Scoone. 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 monuments of noble perfonages, wrorthy the atten¬ tion of the curious.—At the corner of St Benedift’s chapel, an iron gate opens into the fouth crofs aide; which from the number of monuments eredfted therein to celebrated Englidr poets, has obtained the name of the Poets corner: though here we find a moft magnifi¬ cent monument erefled 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 Dr Ifaac Barrow, to Thomas Parr who died at the age of 152 years, &c.—The fouth aide is adorned with 19 curious monuments of the pious, the brave, and the learned ; and turning north¬ ward from the weft door, wre view a great number more. On the eaft of the abbey, and which, though fepa- rate from the other chapels in the choir, feems to be one and the fame building with the abbey, (lands the chapel of King Henry VII. which that king founded in the year 1502, and was at that time ftyled the won- der of the world, and is now one of the moft expenfive remains of the ancient Englifh tafte and magnificence. There is no looking upon it without admiration : it conveys an idea of the fine tafte of Gothic architec- ,ture in that age; and the infide is fo noble, majeftic, 6 1 LON and of fuch curious workmanlhip, that it would take London, a volume to deferibe each part with juftice and pro- 1 priety. 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 defeent from ancient kings. The tomb of King Henry VIE is moft magni¬ ficent, enclofed with a fereen of cart brafs, moft admi¬ rably defigned, and as well executed. Within the rails are the figures of that king and his royal confort, in their robes of (late, 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 Halifax, 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 coun- 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 wainfeot preffes, made of w’ax-to referable life, and dreffed in their coronation robes. And at the corner of the great eaft window, in another wainfeot prefs, (lands the effigy of Mary duchefs of Richmond, daughter to James duke of Richmond and Lenox, dreffed in the very robes (lie 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, erefted by his late majefty King George II. Adjoining to the abbey are the cloifters, built in a quadrangular form, with piazzas towards the court, where feveral of the prebendaries have their houfes. IlS Near the abbey church is the King’s fchool, ufually Weftmin- called Wejlminfer fchool. It was originally founded in fter School. 1070, 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 Camden wras once mailer of it, and Ben Johnfon one of his fcholars. Dr Bufby, who was mailer 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 mailer and one uffier as at firll, has now an upper and under mafter, and five uftrers, who have about 400 youths under their tuition. A plan was fet on foot when the prefent archbilhop of York was mafter, for building a college for the ufe of the ftudents, but this did not fucceed. On the north-eaft fide of the abbey is an old Go- Weftmin- thic building called Wejlminfer-hall, firft built by Wil-fter-hall. liam Rufus as an addition to a royal palace, and after¬ wards LON [ 207 ] LON 120 Houfe of Commons. 121 Houfe of Lords. London, wards rebuilt by Richard II. in the year 1397. It —* ’ is reckoned one of the largeft rooms in Europe, being 200 feet long, 70 broad, and 90 high, fupported 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 Hone. In this fpacious room the kings of England have generally held their coronation and other folemn feafts j 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 j and the court of Exchequer above flairs. Adjoining to the fouth-eafl angle of Weflminfler- hall is a building formerly called St Stephen's Chapel, from its having been dedicated to that faint. It was founded by King Stephen j and in 1347 was rebuilt by King Edward III. who converted it to a collegiate church ; but fmce it was furrendered to Edwrard VI. it has been ufed for the aflembly of the reprefentatives of the commons of England, and is now generally called the Houfe of Commons. The benches, which afcend behind one another as in a theatre, are covered with green cloth ; the floor is matted j and round the room are wainfcot galleries, fupported by cantilevers adorned with carved w'ork, in which flrangers are often permitted to fit and hear the debates. On the fouth fide of the hall is the Houfe of Lords, fo called from being the place where the peers of Great Britain affemble in parliament. It is an oblong room, not quite fo large as the houfe of commons $ and is hung w’ith fine old tapeflry, reprefenting the defeat of the Spanifh Armada in 1588. The defign was drawn by Cornelius Vroom, and the tapefiry exe¬ cuted by Francis Spiering. It was not put up till the year 1650, two years after the extinflion 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, animat¬ ing poflerity to emulate their illuflrious example. Here is a throne for the king, with 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 j on the firft of which, next the throne, fits the lord chancellor, or keeper of the great feal, who is fpeaker of the houfe of peers ; and on the other twro fit the judges, the mafter of the rolls, or the mailers in chan¬ cery, who attend occafionally to give their opinions on points of law. The two archbifhops fit at fome di¬ ll ance from the throne on the right hand, and the other bilhops in a row under them. All the benches are covered with red cloth fluffed with w7ool. Plere likewife, by an order of the houfe, a gallery for flran¬ gers has been eredled. Adjoining to the houfe of lords is the Prince's Chamber, where the king is robed when he comes to the parliament. On the other fide is the Painted Chamber, which is faid to have been Edward the Con- feffor’s bedchamber, and the room in which the par¬ liaments were anciently opened. Here conferences are often held between the two houfes, or their com¬ mittees. Contiguous to thofe is an apartment called the Court of Requejls, where fuch as have bufinefs in ei¬ ther houfe may attend. 122 Prince’s Chamber, See. the 123 ine Weftmin- Near thefe buildings is a bridge over the Thames, London, called Weflminfler Bridge, accounted one of the molt complete and elegant flrudlures of the kind in known world. It is built entirely of Hone, and ex- fteTbndge, tends over the river at a place where it is 1223 feet broad: which is above 380 feet broader than at Lon¬ don bridge. On each fide is a fine baluflrade of flone, with places of fhelter from the rain. The width of the bridge is 44 feet, having on each fide a fine foot way for paffengers. It confifls of 14 piers, and 13 large and two fmall arches, all femicircular, that in the centre being 76 feet wide, and the reft decreaf- ing four feet each from the other, fo that the two leaft arches of the 13 great ones are each 52 feet. It is computed that the value of 40,000!. in Hone and other materials is always under wTater. This magnificent ftru£lure was begun in 1739, and finiftied in 1750, at the expence of 389,000!. defrayed by the parliament. It was built after the defign of M. Labelye, an ingenious architect, a native of France. r2^ On the bank of the Thames, at the eaft confines of Whitehall. St Margaret’s parifh, 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 archbiftiop of York, whence it receiv¬ ed the name of 'York Place, and continued to be the city refidence of the archbiihops till it was purchafed by Henry VIII. of Cardinal Wolfey in 1530. At this period it became the refidence of the court ; but in 1697 was deftroyed 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 ftruflure of hewn ftone, adorned with an upper and lower range of pillars, of the Ionic and Compofite or¬ ders j 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 baluftrade. The building chiefly confifts 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 with with ftate offices. I2^ Oppofite to the Banqueting-houfe ftands the HorfeHoxk Guards, fo called from being the ftation where that part of his majefty’s troops ufually do duty. It is a ftrong building, of hewm ftone, confiding of a centre and two wings. In the former is an arched paffage 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 build¬ ing, which fronts the Parade in St James’s park j and where the board of treafury is kept. 126 Eaftward of the Horfe Guards is the Admiralty Office, a large pile, built wdth brick and ftone. The front Ce' towards Whitehall has two deep wdngs, and a lofty portico fupported by four large ftone pillars. A piazza, confiding of beautiful columns, runs almofl: from one end to the other. The wall before the court has been lately built in an elegant manner, and each fide of the gate is ornamented with naval emblems. Befides a hall, and other public apartments, here are fpacious houfes for feven commiffioners of the admiralty. At a little diftance from the Admiralty, where three capital LON [ 208 ] LON IZJ Charing- crofs. 128 Queen’s Palace. 129 St James’s London, capital ftreets terminate, is a large opening called Charing-crofs, from one of the croffes which King Ed¬ ward I. caufed to be ere£ted 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 deftroyed by the fanatics, as a monument of popifli fuperllition *, but after the Refloration, an equeftrian llatue of Charles I. wras 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 Re- doration, when it was fet up in 1678. At the wed end of the Mall, in St James’s park, which begins near Charing-crofs, dands the ^ueeti’s Palace. It was originally knowm by the name of Ar¬ lington Hon/e ; 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 wras 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, en- clofed with iron rails, fronting St James’s park, with offices on each fide, with two pavilions, feparated from the manfion houfe by colonnades of the Tufcan, Do¬ ric, and Ionic orders. His majedy has here built a fine library, in an oftagonal form, befides feveral other additions. Eadwards of the queen’s palace dands St James's, 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 houfehold have their re- fiience. 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- tion. When this palace was built, it abutted in the fouth-wTed upon an uncultivated fwampy traft of ground, which the king enclofed and converted into a park, called from the palace St James's park. He alfo laid it out into walks, and collefted the wrater 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 bowds didinguifhed by that name. He alfo formed the wrater into a canal 100 feet broad and 2800 feet long *, and furniffied the park with a decoy, and other ponds for water-fowd ; but thefe have lately been dedroyed, on account of the unwholefome vapours which they excited. In a line with St James’s palace, on the ead fide, is Marlborough-houfe, "which belongs to the duke of Marlborough, and is a large brick edifice, ornamented The Strand ^one* when firft ’ Eadward from Charing-crofs, runs that fine dreet formed. the Strand, which terminates at Temple-bar. In the 3 130 The Park and Mall. year 1353 the whole of it was an open high way, with London, gardens to the water-fide. In that year it was fo ruinous, that Edward III. by an ordinance direfted a tax to be railed upon wool, leather, wine, and goods carried to the daple at Wellminder, from Temple-bar to Wedminder abbey, for the repair of the road •, and that all owners of houfes adjacent to the high way fhould repair as much as lay before their doors. Before the above period, it entirely cut off Wedmin¬ der from London ; nothing intervened except the fcattered houfes, and a village which afterwards gave name to the whole 5 and St Martin’s dood literally in the fields. But about the year 1560 a dreet wTas form¬ ed, loofely built •, for all the houfes on the fouth fide had great gardens to the river, were called by their owners names, and in after-times gave name to the feveral dreets that fucceeded them, pointing down to the Thames •, each of them had dairs for the con- veniency of taking boat, of which many to this day bear the names of the houfes. As the court was for centuries either at the palace of Wedminder or White¬ hall, a boat wras the cudomary conveyance of the great to the prefence of their fovereign. The north fide w’as a mere line of houfes from Charing-crofs to Temple-bar ; all beyond was country. The gardens which occupied part of the fite of Covent-garden w^ere bounded by fields, and St Giles’s was a didant country village. Our capital found itfelf fo fecure in the vigo¬ rous government of Queen Elizabeth, that, by the year 1600, mod confiderable additions were made .to the north of the long line of dreet jud deferibed. St Martin’s-lane was built on both fides. St Giles’s church was dill infulated : but Broad-dreet and Hol¬ born wyere completely formed into dreets with houfes all the way to Snow-hill. Covent-garden and Lin- coln’s-inn-fields w-ere built, but in an irregular manner. Drury-lane, Clare-dreet, and Long-acre, arofe in the fame period. Almod contiguous to Charing-crofs, and upon the Northuia- fouth fide of the Strand, is that noble palace called berland Northumberland Houfe, which dands on the fite 0f ^ou^e' the hofpital of St Mary Rounceval. Henry VIII. granted it to Sir Thomas Caverden. It wras after¬ wards transferred to Henry Howard earl of Northamp¬ ton 5 wrho, 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 Algernon Percy earl of Northumber¬ land, w’ith Elizabeth daughter of Theophilus earl of Suffolk, it paffed into the houfe of the prefent noble owmer. The greater part of the houfe w7as built by Bernard Janfen, an architeft in the reign of James I. The front next the dreet was begun by Algernon in 1748, and finiffied 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 this houfe the larged and mod magnificent in London. It contains a gallery of 106 feet long by 26 wide, mod fuperbly furnifhed. ' 132 A diort way eadward, on the fame fide, dood Durham ham Yard, which took its name from a palace built ori-Yanh ginally by the illudrious Thomas de Hatfield, elefted bidiop of Durham in 1345 j defigned by him for the towm refidence of him and his fucceffors. At this place, in LON [ 209 ] LON London, 134 , The Adel- phi. r35 The Savoy^ 136 Somerfet Houfe. in 154O, 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 holden at Weft- minfter, for all comers that would undertake them. But both the challengers and defendants were Eng- liih. After the gallant fports of each day, the chal¬ lengers rode into this Durham-houle 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 eftablhhed in this houfe, under the management 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 C^ueen Eliza¬ beth •, who gave the ufe of it to the great Sir Walter Raleigh. Durham-yard is now filled with a moft magnificent mafs of building, called the Adelplu, in honour of two brothers, the ingenious Adams, its archite&s. Be- fides its fine lodgings, it is celebrated for its enchant¬ ing profpeff, the utility of its wdiarfs, and its fubter- raneous apartments anfwering a variety of purpofes of general benefit. Farther on Hand the ruins of the Savoy. Henry III. had granted to Peter of Savoy, uncle to his queen Eleanor, daughter of Berringer of Provence, all the houfes upon the Thames w’here this building now Hands, to hold to him and his heirs, yielding yearly at the Exchequer three barbed arrows for all fervices. This prince founded the Savoy, and bellowed it on the foreign hofpital of Montjoy. Queen Eleanor pur- ehafed it, and bellowed it on her fon Edmund earl of Lancafter. It was rebuilt in a moll magnificent manner by his fon Henry. It was made the place of confinement of John king of France in >356, after he was taken prifoner at the battle of Poitiers. In 1381 it was entirely dellroyed 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 diltreffed people, and Hen¬ ry VIII. completed the defign. The revenues, at the fupprellion by Edward VI. amounted to above 500^- a-year. Queen Mary rellored it 5 and her maids of honour, with exemplary piety, furnifhed it with all ne- ceffaries. It w7as again lupprelfed by Queen Elizabeth ; and at prefent part ferves as lodgings for private people, for barracks, and a fcandalous infedtious prifon for the foldiery and for tranfport-convi&s. A little to the eallward Hood Somerfet Houfe, a pa¬ lace built by Somerfet the proteftor in the time of Edward VI.; and to make way for which he demo- lithed a great number of buildings without making any recompenfe to the owners. Part of the church of St John of Jerufalem and the Tower were blown up for the fake of the materials •, and the cloiIters on the north fide of St Paul’s, with the charnel-houfe and chapel, underwent the fame fate •, the tombs being deitroyed, and the bones thrown into Finibury-fields. This hap¬ pened in I 549; 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 occafidnal place of refidence, firft to Queen E izabeth, and afterwards to Catherine queen to King Charles II. It was built in a flyle of Vol. XII. Part I. Loudon. architeflure compounded of the Grecian and Gothic •, and the back, front, and water gate, were done from v a defign of Inigo Jones, about jthe year 1623. A chapel was begun the fame year by that architect, and finiihed fome time after. The whole of this llrudlure was demolilhed in 1775, in confequence of an a£l of parliament j and a moll magnificent edifice, from a defign by Sir William Chambers, has been eredled for the accommodation of all the public offices,—thofe of the Trenfury, 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 5 and here alfo are annually exhibited the wTorks of the Britifh painters and fculptors. The terrace on the fouth fide is a walk bounded by the Thames, and unparalleled for grandeur and beauty of view. I37. t The church of St Martin is diflinguilhed by the * name of St Martin's in the Fields, from its fituation, ciuirches. 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 parilh, it was augmented in 1607, at t^ie charge of Prince Henry, eldelt 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 begun, which was finilhed in 1726. This is an elegant edifice, built of Hone. On the weft front is a noble portico of Corinthian columns, fup- porting a pediment, in which are repreiented the royal arms in bas relief. The afeent to the portico is by a flight of very long Heps. The length of this church is about 140 feet, the breadth 60, and height 45. It has a fine arched roof fuftained by Itone columns of the Corinthian order. The fteeple has a beautiful fpire, and one of the bell 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 Hone, 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 ftruclure. This was one of the fifty new churches eredted within the reign of Queen Anne. The ground for the edifice was given by the late Lieutenant-general Stewart, who alfo left 4000I. to the pariih, towards erecting and endowing a charity fchool \ which, by additional benefadlions and fubicriptions, is become very confiderable. The greater part of the parifti of SV Paul's Covent- garden, was anciently a garden, belonging to the ab¬ bot and convent of Weftminfter, and was then called Convent-garden, a name corrupted into Covent, and 13S more generally Common-garden. In 1552, Edward VI. gave it to the earl of Bedford, with an adjoining field, formerly called the Seven Acres, but now, being turned into a long llreet, called Long-acre. The church of St Paul’s, Covent-garden, was built by Inigo Jones, and was efteemed one of the moll Ample and perfect pieces of architecture in England. It was burnt by accident a few years ago •, but has fince been rebuilt in a very plain ttile. In the area before the church, of about D d three Gardes. LON London. 139 St Mary le Strand, 140 Found Ling and other Hofpitals. - ,4I Cray’s Inn, three acres of ground, is Covent garden mar'kst, which is the befl in England for herbs, fruit, and flowers. On the north, and part of the eaft fide, is a magnificent piazza, defigned by Inigo Tones. Next to the parifh of St Paul, Covent-garden, is that en St Ivlary le Strand. 1 his is alfo one of the fifty new churches built in the reign of Queen Anne, and is a handiome piece of architefture, though not very ^xtenfive. At the entrance, on the weft fide, is an afeent by a flight of fteps, in a circular form, which leads to a fimilarly ftiaped portico of Ionic columns, covered with a dome, that is crowned with a vafe. I he 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 ftru£Iure, over thofe of the Ionic order. A handfome baluftrade is carried round the top of the church, and adorned with vafes. r A httle eaftward from the preceding church is that of St Clement's Danes, fituated likewife in the Strand. church is faid to have flood in this place fince about the year 700 } but the prefent ftru6Iure was begun in i6bo, defigned by Sir Chriftopher Wien. It is built of ftone, with two rows of windows, the lower plain, but the upper ornamented ; and the termination is by cn attic, the pilafters of which are covered with vafes. On the iouth 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 act of parliament. It is difiinguiftied 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 town, is a large and commodious ftru&ure called the Foundling Hofpital, for the reception of expofed and 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 par¬ liament has occafionally granted confiderable fums for its fupport 5 and in fome years upwards of 6900 infants have been received. Not far from hence is an Hofpital for the Smallpox; and in different parts of the town there are others, either for the fick of all kinds, or thofe in particular circum- ftances. Of the latter are feveral Lying-in hofpitals, and the Loch Hofpital for female patients in the venereal difeafe. Of the former are St George's and Middlefex Hofpitals, befides feveral infirmaries. Gray's Inn is one of the four principal inns of court; which, though fituated within the limits of the pariih 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 U to fome ftudents in the law; but it is faid to have [ 210 3 L O N been afterwards conveyed to the monks of Shene, near London Richmond in Surry, who leafed it to the fociety of v— 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 confifts chiefly of two quadrangles, and has an old hall well built of tim¬ ber, with a chapel in the Gothic ftyle. Here is alfo a good library, and the inn is accommodated with a fpa- cious garden. Lincoln's Inn, another of the four principal inns of Lincoln'* court, was originally the palace of Ralph Neville bilhoplnn. 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 ftudents of law about the year 1310. From him it received the name of Lincoln's Inn, and confifted 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 diminiihed by the building of fome large and commodious offices, for the ufe of the fix clerks in the court of chancery, &c. In the parith of St lames, Clerkenwell, is an hofpi- charter tfil called the Charter-houfe, which is a corruption ofhoufe. the word chartreux, a name formerly ufed for a con¬ vent or priory of the Carthufians, which this place formerly was. After the diffolution 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 13,000!. The purchafer intend¬ ing it for an hofpital, applied to the king for a patent, which he obtained in i6n,and the grant was con¬ firmed by parliament in 1623. Sutton having ex¬ pended 7000I. in fitting up the buildings, gave ifc the name of King James's Hofpital, and endowed it with lands to the amount of near 4500I. a-year, for the maintenance of 80 gentlemen, merchants or fol- diers, wffio ffiould be reduced to indigent circumftances ; and 40 boys, to be inftrufted in claflical learning. The men are provided with handfome apartments, and all the neceffaries of life except clothes; inftead of which each of them is allowed a gown, and 7I. a-year. Of the boys, 29 are at a proper time fent to the univer- lity, where each has an allowance of 20I. a-year for eight years. Others, who are judged more fit for trade, are put out apprentices, and the fum of 40I. 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 recommendation of the latter that all penlioners and youths are received into the hofpital. They corr- 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 mafter, a preacher, two fchool- mafters, a phyfician, a regifter, a receiver, a treafurer, a ftewrard, an auditor, and other officers; and the an¬ nual revenues of it being now increafed to upwards of 6000I. five men and four boys have been added to the original number. In the parifli of St Luke Hands the Haberdaffiers Afke’s alms-houfe, or sljhe's Hofpital, fo called from having Hofpita& been eredled by the company of haberdaffiers, purfuant to the will of Robert Alke, Efq; one of their mem¬ bers, LON [ 21 London. fioufes of the nobili¬ ty. t4d .Britifh Muieum. bers, wlio left 30,000!. for the building and the re¬ lief of 20 poor members of the company 5 befides the maintenance and education of 20 boys, fons of decay¬ ed freemen of the fame company. This is a large edi¬ fice of brick and ftone, 400 feet long, with a piazza in front 340 feet in length, confining of ftone columns of the Tufcan order. In the middle of the building is a chapel, adorned with columns, entablatures and pediment, of the Ionic order j under the pediment is a niche with a ftatue of the founder. In the fame pariih is the Ironmongers hofpital, likewife a large building. In the parifh of St Mary, Whitechapel, ftands the London Hofpital, for the reception of the fick. It is a large building, and was erefted a few years fince by vo¬ luntary contribution. Here are alfo fome confiderable alms-houfes. Within the precin&s of Weftminfter are feveral ftate- ly houfes belonging to the nobility, fome of which have been already mentioned. Of the others, the moft re-, markable at prefent are, Burlington-houfe, Devon(hire- houfe, Egremont-houfe, and Bedford-houfe •, Carleton- houfe, the magnificent abode of the prince of Wales; and the fuperb refidence ere&ed by the duke of York between the Treafury and the Horfe-guards. To thefe may be added, Montagu-houfe (now the Britilh Mufeum) ; which was built on a French plan by the firft duke of Montagu, who had been ambaf- fador in France. The ftaircafe and ceilings were paint¬ ed by Rouffeau and La Fofle : the apotheofis of Iris, and the aflembly 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 colleftions of books, MSS. coins, antiqui¬ ties, fubje£b in natural hiftory, &tc. &c. 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. collefled by Sir John Cotton, his fon, and grandfon Sir John, which laft gave it to the public by aft 12 and 13 William III. c. 7. The Harleian collection of MSS. was formed by Edward earl of Oxford, and purchafed by government in 1753, at the fame time with the library, MSS. and natural curiofi- ties, of Sir Hans Sloane. This laft; coft Sir Hans 50,000!.; and he left it by will, to the ufe of the public, on condition that the parliament would pay 20,0001. to his executors. It comprehends an amaz¬ ing number of curiofities: among which are, the li¬ brary, including books of drawings, MSS. and prints, amounting to about 50,000 volumes; medals and coins, ancient and modern, 20,000; cameos and intaglios, about 700; feals, 268; veffels, &c. of agate, jafper, &c. 542; antiquities, 1125; precious ftones, agates, jafper, 8tc. 2256; metals, minerals, ores, &x. 2725; cryftal, fpars, &c, 1864; foffils, flints, ftones, 1275; earths, fands, falts, 1035; bitumens, fulphurs, ambers, &c. 399', talcs, micse, 8cc. 388 ; corals, fponges, &c. 1421; teftacea, or (hells, &c. 5843 ; echini, echinitae, &c. 659 ; afteriae, trochi, entrochi, &c. 241 ; crufta- ceae, crabs, lobfters, See. 363 ; ftellae marinse, ftar-fhhes, &c. 173 ; fifli, and their parts, &c. 1555 ; birds, and their parts, eggs, and nefts of different fpecies, 1172; quadrupeds, &c. 1886; vipers, ferpents, &c. 521 ; in- feds, &c. 54395 vegetables, 12,5065 hortus ficcus I end01*. 147 148 i ] LON or volumes of dried plants, 334 5 humani, as calculi, anatomical preparations, 756 5 mifcellaneous things, natural, 2098; mathematical inftruments, 55. A ca¬ talogue of all the above is written in a number of large volumes. It is a large and magnificent building 5 and has behind it a garden, confifting nearly of nine acres. The Britith Mufeum has of late been very much en¬ riched by an acceftion of Egyptian curiofitics, chiefly taken from General Menou at Alexandria. In the mean time they are laid in the court-yard, but will foon be depofited in a building which is to be erefted for that partiular purpofe. Befides a great number of fpacious ftreets, which Principal are daily increafing, this part of the metropolis is or-f(luares>^' namented with feveral magnificent fquares, viz. Grof- venor-fquare, Berkeley-fquare, Portman-fquare, Ca- vendifli-fquare, Hanover-fquare, St James’s-fquare, So- ho-fquare, Bloomfbury-fquare, Oueen’s-fquare, Lin¬ coln’s-Inn-Fields, Leicefter-fquare, Red-Lion-fquare, fome of which have been particularly deferibed 5 not to mention others that are at prefent building. In general, the new buildings in the liberty of Weftmin¬ fter have increafed to a prodigious degree 5 infomuch that they reach as far as Marybone to the north, Pic¬ cadilly to the fouth, and Hyde-Park wall to the weft. Before the conflagration in 1666, London (which b°ndon like moft; other great cities, had arifen from fmall be- arrcient 7! gmnmgs) was totally inelegant, inconvenient, and rin-eIlt an(i un^, healthy, of which latter misfortune many melancholy healthy, proofs are authenticated in hiftory, and which, with¬ out doubt, proceeded from the narrownefs of the ftreets, and the unaccountable proje&ions of the build¬ ings, that confined the putrid air, and joined with other circumftances, fuch as the want of water, ren¬ dered the city feldom free from peftilential devaftation. The fire which confumed the greateft part of the city, dreadful as it was to the inhabitants at that time, was productive of confequences which made ample amends for the lofles fuftained by individuals ; a new city arofe on the ruins of the old 5 but, though more regular, open, convenient, and healthful, than the former, yet it by no means anfwered to the characters of magnificence or elegance, in many particulars ; and it is ever to be lamented (fuch was the infatuation of thofe times), that the magnificent, elegant, and ufefui plan of the great Sir Chriftopher Wren, was totally difregarded, and facrificed to the mean and felfifla views of private property 5 views which did irreparable injury to the citizens themfelves and to the nation in general: for had that great archite&’s plan been fol¬ lowed, what has often Seen afferted muft have been the refult 5 the metropolis of this kingdom would incon- teftably have been the moft: magnificent and elegant city in the univerfe 5 and of confequence muft, from, the prodigious refort of foreigners of diftinftion and tafte who would have vilited it, have become an in- exhauftible fund of riches to this nation. But as the deplorable blindnefs of that age has deprived us of fo valuable an acquifition, it is become abfolutely he- ceffary that fome efforts (hould be made to render the prefent plan in a greater degree anfwerable to the charaCler of the richeft and moft powerful people in the world. ~ ^ The plan of London, in its prefent (late, will in Its plan ftill many inftaHces appear to very moderate judges to be defective. D d 2 tfs » London. LON [21 as injudicious a difpofitton as can eafdy be conceived for a city of trade and commerce, on the borders of fo noble a river as the Thames. The wharfs and quays on its banks are extremely mean and inconvenient; and the w-ant of regularity and uniformity in the flreets of the city of London, and the mean avenues to many parts of it, are alfo circumftances that greatly lelfen the grandeur of its appearance. Many of the churches and other public buildings are likewife thruft up in corners, in fuch a manner as might tempt fo¬ reigners to believe that they were defigned to be con¬ cealed. The improvements of the city of London for fome years paft have, however, been very great •, and the newr ftreets, which are numerous, are in general more fpacious, and built with greater regularity and elegance. The very elegant and neceffary method of paving this vaft. metropolis. I.'O Great im¬ provements, enlightening the ftreets is alfo felt in the moft fen- fible manner by all ranks and degrees of people. The roads are continued for feveral miles around upon the fame model ; and, exclufive of lamps regularly placed on each ftde, at ftiort diflanceB, are rendered more fe- cure by watchmen ftationed w'ithin call ®f each other. Nothing can appear more brilliant than thofe lights when view'ed at a diftance, efrecially where the roads run acrofs; and even the principal ftreets, fuch as Pall- Mall, New Bond-ftreet, Oxford ftreet, &c. convey an yjj idea of elegance and grandeur. Wealth and London, then, in its large fenfe, including Weft- grandeur of minder, Southwark, and part of Middlefex, forms one great metropolis, of vaft extent and of prodi¬ gious w’ealth. When conlidered with all its advan¬ tages, it is nowT what ancient Rome once was ; the feat of liberty, the enccurager of arts, and the admi¬ ration of the whole world. It is the centre of trade ; h-as an intimate connexion with all the counties in the kingdom ; and is the grand mart of the nation, to which ail parts fend their commodities, from whence they are again fent back into every town in the nation and to every part of the world. From hence innumer¬ able carriages by land and w’ater are conflantly em¬ ployed : and from hence arifes that circulation in the rational body which renders every part healthful, vigo¬ rous, and in a profperous condition ; a circulation that is equally beneficial to the head and the moft diftant members. Merchants are here as rich as noblemen ; witnefs their incredible loans to government : and there is no place in the world where the ihops of tradef- men make fuch a noble and elegant appearance, or are lc.2 better ftocked. Its excellent The Thames, on the banks of which London is ft- fituation tuated, is a river which, though not the largeft, is the richeft and moft commodious for commerce of any in the world. It is continually filled with fleets, fail¬ ing to or from the moft diftant climates) and its banks, from Lcndon-bridge to Blackwall, form almoft one continued great magazine of naval ftores) containing numerous wet docks, dry docks, and yards for the building of (hips, for the ufe of the merchants) befides the places alloted for the building of boats and lighters, and the king’s yards lower down the river for the building of men of war. The Weft India Docks are defigned to receive all the {hips trading to the Weft Indies, and will, when finifhed, juftly claim a place among the curicfities for com- naerce. ] LON of Great Britain. By virtue of an a£t of parliament W.don. they were undertaken in 1799, the entrances irdo which ‘ y—-J" are by Blackwall and Limehoufe-hole. The proprie¬ tors began with a capital of 500,000!. with parliamen¬ tary authority to increafe it to 6co,ocq1. if they fliould find it requifite, and they are to be indemnified by a tonnage of 6s. upon the burden of every fliip entering the dock. The docks at Wapping muft be allowed to be an important improvement. The prodigious one w’hich goes by the name of St George’s dock, is capable of containing 200 {hips, and Shadwell dock will contain about 50 veflels. The company projecting and carry¬ ing thefe into execution, pofiefs a capital of 1,200,000!. and the (hares bear a premium. The foundation of the entrance bafon was laid on the 26th of June, 1802, and at the lame time the firft ftone of a tobacco ware- houfe, which is the largeft in the world As the city is about 60 miles diftant from the tea, it enjoys, by means of this beautiful river, all the bene¬ fits of navigation, wdthout the danger of being fur- prifed by foreign fleets, or of Being annoyed by the moift vapours of the fea. It rifes regularly from the water fide, and, extending itfelf on both fides along its banks, reaches a prodigious length from eaft to weft in a kind of amphitheatre towards the north, and is conti¬ nued for near 20 miles on ail fides, in a fucceffion of magnificent villas and populous villages, the country- feats of gentlemen and tradefmen 5 whither the latter retire for the benefit of frefti air, and to relax their minds from the hurry of bufinefs. The regard paid by the legiftature to the property of the fubjeCt, has hitherto prevented any bounds being fixed for its ex- tenfion. The irregular form of London makes it difficult toIt afeertain its extent. However, its length from eaft to weft is generally allowed to be above feven miles f^om Hyde-park corner to Poplar ; and its breadth in fome plac'-s three, in others two, and in others again not much above half a mile. Hence the circumference of the whole is almoft 18 miles j or, according to a later mea- furement, the extent of continued buildings is 35 miles two furlongs and 39 roods. But it is much eafier to form an idea of the large extent of a city To irregularly built by the number of the people, wdio are computed to be near a million ) and from the number of edifices devoted to the fervice of religion. Of thefe, befide St Paul’s cathedral and the colle- General giate church at Weftminfter, there are 114 parhh-enumera- churches and 62 chapels, of the eftablilhed religion) don of 17 foreign Proteftant chapels) 11 chapels belonging c|mrcjies» ^ to the Germans, Dutch, Danes, &c.) 26 Independent 1£t^e S’ * meetings ) 34 Prefhytevian meetings) 20 Baptift meet¬ ings ) 11 Popifh chapels, and meeting-houfes for the ufe of foreign ambaffadors and people of various fefls) and 6 Jew’s fynagogues. So that there are above 300 places devoted to religious worfhip in the compafs of this vaft pile of buildings, without reckoning the 21 out-parifhes ufually included in the bills of mortality, and a great number of Methodift tabernacles. ] ,c There are alfo in and near this city too alms-houfes,Hofpitals,, about 20 hofpitals and infirmaries, 3 colleges, 10 public fchools, - prifons, 15 flefh-markets ) one market for live cattle ) hQUfes, See. two other markets more particularly for herbs) and 23 other markets for corn, coals, hay, &c. 5 15 inns of court; LON [2i London, court} 27 public fquares, befides thofe within fingle u—V”—buildings, as the Temple, &c. 3 bridges, 55 halls for companies, 8 public fchools, called free-fchools j and 131 charity-fchools, which provide education for 5034 poor children 5 207 inns, 447 taverns, 551 cof- feehoufes, 5975 alehoufes ; 1000 hackney-coaches j 400 ditto chairs j 7000 ftreets, lanes, courts, and al- '^.5 leys, and 150,000 dwelling houfes, containing, as has Number of been already obferved, about 1,000,000 inhabitants j inhabitants, who, according to a moderate eftimate, are luppofed to conlume the following provifions weekly : iS7 Weekly confumpt of provi- lions. 150° 25O 175 125 166 225 l6l 525 200 25O M.583 O l3 o 5 6 8 L. 3645 t6 3645 16 8 loco Bullocks, at 61. a-piece - L. 6000 o O 6000 Sheep, at 12s. a-piece - 3600 o o 2000 Calves, at il. 4s. a-piece - 2400 o o 3000 Lambs, at 8s. a-piece, for fix months - - - 1200 O O 1500 Hogs in pork and bacon, at 20s. for fix months 2000 Pigs, at 2s. 6d. a-piece 1000 Turkeys, at 3s. 6d. a-piece for fix months - 1000 Geefe, at 2s. 6d. a-piece, for fix months - 2000 Capons, at is. 8d. a-piece 500 Dozens of chickens, at 9s. per dozen 4300 Ducks at 9d. a-piece 1500 Dozens of rabbits, at 7s. per dozen, for eight months 2000 Dozens of pigeons, at 2 s. per dozen, for eight months 700 Dozens of wild fowl, of feveral forts, for fix months In fait and frelh filh, at 1 d. a-day, for half a million of people for a week. In bread of all forts, white and brown at id. a-day, for one million of people for a week - - 29,166 13 4 300 Tons of wine, of all forts, at 50I. a ton, one fort with another, for one week ... 15,000 o o In milk, butter, cheefe, &.c. at id. a-day, for a million of people for a week ... 29,166 13 4 In fruit of all forts, at one farthing a-day, for a million of people for a week - - - 7291134 In eggs of hens, ducks, geefe, &c. at half a farthing a-day, for a million of people for a w7eek 3^45 4 In beer and ale, ftrong and fmall, at 2d. 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 pud¬ dings, oat-meal and rice, &c. at half a farthing a-day, for a million of people for a w^eek - - 3645 16 8 In fait, oil, vinegar, capers, olives, and other fauces, at half a farthing 3 ] LON a-day, for a million of people for a week - In roots and herbs of all forts, both for food and phyfic, at half a far¬ thing a-day, for a million of people for a week ... In fea-coal, charcoal, candles, and fire wood, of all forts, at id. a-day, for a million of people for a week 29,166 13 4 In paper of all forts (a great quantity being ufed in printing) quills, pens, ink, and wax, at a farthing a-day, for a million 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 clothing, as’ linen and woollen, for men, women, and children, ftioes, ftockings, &c. at 3s. 6d. per week, for a million of people for a week Expences for horfe meat, in hay, oats, beans, 1000 load of hay a-wTeek, at 40s. a load, comes to 2000I. in oats and beans the like value, 2000I. which is in all, for one wreek Cyder, mum, brandy, rtrong waters, coffee, chocolate, tea, &c. at id. a-day, for a million of people for one week - London. 7291 13 4 3645 16 8 - 175,000 o o 4000 29,166 13 4 15s The common firing is pit coal, commonly called feaTh-ing, coa/, of which there are confumed upwards of 766,88oPorter> &-c’ chaldrons every year. The annual confumption of oil in London and Wellminfter for lamps, amounts to 400,000!. In 1787, the quantity of porter brewed in London for home confumption and foreign exporta¬ tion, amounted to 1,176,856 barrels. In 1805 it a- mounted to 1,200,000 barrels of 56 gallons each. The above was the weekly confumption of the arti¬ cles fpecified a few years ago. The following is the annual confumption of fome of them eftimated fince the year 1800. Bullocks, 110,000 : (keep and lambs 776,000: calves 210,000: hogs 210,000: fucking pigs 60,000 : milk in gallons 6,980,000 ; for which the inhabitants pay 481,666]. and this is the produce of 8,500 cows : vegetables and fruit 3,000,000k : fpi- rituous liquors and compounds 11,146,782 gallons: wine 32,500 tons : butter 16,600,000 pounds : cheefe 21,100,000 pounds. This great and populous city is happily fupplied <5u]ndy 0f with abundance of frelh water from the Thames and water! the New River: which is not only of inconceivable fervice to every family, but by means of fire plugs everywhere difperfed, the keys of which are depofited with the parilh officers, the city is in a great meafure fecured from the fpreading of fire ; for thefe plugs are no fooner opened, than there are vaft quantities of wa¬ ter to fupply the engines. This plenty of water has i6q been attended with another advantage, it has given infurance . rife to feveral companies, who enfure houles and companies, goods from fire ; an advantage that is not to be met with in any other nation on earth : the premium is fmall and the recovery in cafe of lofs is eafy and cer¬ tain,. London, London¬ derry. 161 Places of tliverfion, Sec. LON f 21 tain. Every one of thefe offices keeps a fet of men in pay, who are ready at all hours to give their affiftance _i in cafe of fire ; and who are on all occafions extremely bold, dexterous, and diligent : but though all their la¬ bours fhould prove unfuccefsful, the perfon who fuffers by this devouring element has the comfort that mull; arife from a certainty of being paid the value (upon oath) of what he has eafured. The places for diverfion are, Vauxhall, Ranelagh- gardens, the two play-houfes, the Pantheon, and the little theatre in the Hay Market, with Sadlers-wells, Hughes’s Circus, and Aflley’s Royal-Grove, &c. The fineft repofitories of rarities and natural hiflory, are Sir Hans Sloane’s, in the Britilh Mufeum, already deferibed ; and another colledled by Sir Afhton Lever, afterwards the private property of Mr Parkinfon, and depofited in apartments for public infpedtion, near the fouth end of Blackfriars bridge, was fold in 1806. The Royal Inflitution owyed its origin to a number of noblemen and gentlemen, wdio held meetings for the avowed purpofe of ameliorating the condition of the poor. They firfl proje&ed the plan of its foundation, which was matured by the exertions and talents of the indefatigable Count Rumford. The meetings began in 1800, ihortly before which his majefly granted the proprietors a charter of incorporation by the name of the Royal Jnjlitution of Great Britain, for the purpofe of facilitating the general introdudlion of ufeful mecha¬ nical inventions and improvements, and for teaching, by courfes of philofophical lectures and experiments, the application of fcience to the common purpofes of life. The government of the fociety confifts of the prefi- dent, 15 managers, and the fecretary, chofen by and from among the proprietors. Of the 15 managers, one- third is elected annually, on the firfl of May. The houfe is fituated in Albemarle-flreet, is extremely fpa- cious, and well adapted to the purpofes to which it is applied. The London Inftitution was formed in the autumn of 1805, by the indefatigable exertions of a few fpiri- ted individuals. The houfe in the mean time is in the Old Jewry, till the managers can procure a more fuitable place. The defign of it is to promote the difl'emination of fcience, literature, and the arts: its view at prefent being confined to three objefts, viz. the acquifition of a a valuable and extenfive library 5 the diffufion of ufeful knowledge by the means of leisures and experiments j and the eftablilhment of a reading room, where the foreign and domeftic journals are provided for the ufe of the proprietors and fubferibers. The government of the inftitution is veiled in a prefident, four vice-preli- dents, twenty managers, and the fecretary. The num¬ ber of proprietors is limited to ioco, each of whom paid 75 guineas for a lhare, and the life fubferibers pay 25 guineas. LONDONDERRY, or Colerain, a county of Ireland, in the province of Ulfter. It is bounded on the fouth and fouth-w’eft by the county of Tyronne ; by Antrim on the eaft, from which it is parted by the river Bann : by Donegal on the weft j and that county and the Deucaledonian ocean on the north. Its 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 fca-lhells, as thofe 3 4 1 LON 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 diftinguifli it from a leffer of the fame name, is called the Greater or Lower Bonn. 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 Uljler in the realm of Ireland. It contains fix ba¬ ronies ; and, belides the two knights of the ftrire, fends to parliament two members for the city of London¬ derry, and two each for Colerain and Newton-Lima- vady or Lamnevady. Londonderry, or Derry, the capital of the county, and the fee of a bilhop, ilands at the bottom of Lough- Foyle. This city has a very good port, to w7hich flrips of the greateft: burden have accefs, and a conliderable trade. It will be ever famous for the gallantry and perfeverance with which it defended itfelf in three memorable fieges, in defiance of the greateft hardihips and difeouragements, namely, ill, In 1641, when the rebels could not reduce it either by fraud or force. 2dly, In 1649, when it was belieged by the lord Ardes, and reduced almoft to extremity by famine, till at lafi: relieved by troops fent from England. 3dly, When it held out againll the French and Irilh from the 7th of December 1688 to the laft day of July 1689, though it was neither well fortified nor provided with a garrifon or ftores of provifion and ammunition, and hardly any attempt made to relieve it during fo long a time. Though the city is 20 miles up the river, yet very large Ihips can come up to the quay, where there are four ox five fathoms of w’ater. It is now well for¬ tified with a ftrong w7all, befides outwmrks j and along the banks of the river are feveral caftles and a fort. This city is of no great antiquity, having been built and planted in the reign of James I. by a colony fent by the fociety above mentioned. The trade of the towrn is very confiderable, having not only a large lhare in the herring fifhery, but fending {hips alfo to the Weft Indies, New England, and Newfoundland, for which they are fo advantageoufly fituated, that a veffel bound from thence to America often arrives there before a London (hip can get clear of the found¬ ings, or arrive in the latitude of Londonderry. Though there are a great many {hallows in Lough-Foyle, which ferves it inftead of a road } yet they are eafily avoided, as there are deep channels between them. Thefe points called Emifone, Ruflerhull or Caldy head, which lie a little to the w7eft of the mouth of the har¬ bour, are counted the moft northerly ot Ireland. The inhabitants of this city are almoft all Proteftants. It gave title of earl and baron to a branch of the family of Pitt, which became extindi in 1764; but part of the title was revived in Robert Stewrart, who wras creat¬ ed Baron Londonderry in 1789. A late traveller fays, “ Derry is, perhaps, the cleaneft, beft built, and moft beautifully fituated town in Ireland ; and except¬ ing Corke, as convenient 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 j 2 great companies of London. Great quantities of falmon, falted and barrelled, are exported from hence to America. It contains 10,000 inhabitants, and London¬ derry. LON [2 'tong. and has a wooden bridge 1068 feet long, which was ere&ed in 1791. Long. 70 3' W. Lat. 550 4' N. LONG, an epithet given to whatever exceeds the ufual ftandard of length. LoNG-Boat, the largeft and ftrongeft boat belonging to any fhip. It is principally employed to carry great burdens, as anchors, cables, ballaft, &c. See Boat. LONG, Roger, D. D. matter of Pembroke-ball in Cambridge, Lowndes’s profeffor of aftronomy in that univerfity, recttor of Cherryhinton in Huntingdonlhire, and of Bradwell juxta mare in Eflex, was author of a well known and much approved treatile of aftronomy, and the inventor of a remarkably curious attronomical machine, thus defcribed by himfelf. “ I have, in a room lately built in Pembroke-hall, ere43 112 140 141 146 IJJO 146 136 104 121 L34 152 125 136 140 128 126 I3° >75 JS8 108 >33 100 105 112 Shropfhire Y orklhire Ditto Staffordlhire Ditto Ireland Ditto Lane a (hire Scotland Trionia Ireland York lhi re Norway Cumberland Ditto France Devondiire Killingworth Worcefterdiire Scotland Fiance Shropdure Northampton Liverpool Tucomea, S. America Lockneugh near Paidey Fintray, Scotland Montgomery Piddington, Northampdi Stoke-Br,uerne, lb. Middlewich, Chethire 112, not mentioned above, at the battle of Edgehill. Living or Dead. f Died November lb. 1635. | Phil. Tranf. N° 44. f Died December 8. 1670. \ Phil. Tranf. N° 22 x. Died in 1670. C Do. Fuller’s Worthies, I . P- 47- Raleigh’s Hilt. p. 166. Died — — 1691. (a) — — 1668. fB) Living — — Died May 30. *764. Aug. 26. 1766. Jan.— 1768. June 24. I770, ^ Both living I771* Died Feb. 6. Living — — t???* Aug. 15. 1656. March 1774. Feb. 27. 1766. June — 1776- — — I776- Died lc) (») 00 00 (G) (H) O) 00 April 5. 1776. (l) Aug. 16. 1780. (m) Living Oft. 5. 1780 (n) Lynche’s Guide to Health. Died Oft. 10. 1780. Lynche’s Guide to Health. Died. Feb. 19. 1781. (o) April 5. 1775. (?) March 17. 1781.(q_) who was a foldier If we look back to an early period of the Chridian era, we (hall find that Italy has been, at lead about that time, peculiarly propitious to longevity. . Lord Ba¬ con obferves that the year of our Lord 76, in the reign of Vefpafian, was memorable ; for in that year was a taxing which afforded the mod authentic method of knowing the ages of men. From it, there were found in that part of Italy lying between the Apenmne moun¬ tains and the river Po, I 24 perfons who either equalled or exceeded 100 years of age, namely— 54 perfons of too years each. 4 perfons of 130 years In Parma In Brulfels In Placentia In Faventia In Rimino Longevity. 57 I TO i *3 r 136 140 120 130 I25 131 132 110 120 150 years, viz. Marcus Aponius, 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) Duly Advertifer, Nov. 18. 1777. (e) Warwickdrire. (g) Daily Advertifer, March 1774. (H) Morning Pod, Feb. 29. 1776. (I) Daily Advertifer, June 24. 1776. (K) Daily Advertifer, Aug. 2 2. 1776- (l) ' See Infcription in the portico of All-Saints church. (m) London Even. Pod, Aug. 22. 1780. (n) London Chronicle, Oft. 5. 1780. (o) Northamp. Mercury, Feb. 19. 1781. (?) Well known to perfons of credit in Northamp¬ ton. (q) Gen. Evening Pod, March 24. 1781. 1 LON [2 longevity. Mr Careu*, in his Sutvey of Cornwall, allures us, that it is no unufual thing with the inhabitants of that county to reach 90 years of age and upwards, and even to retain their ftrength of body and perfect ufe of their fenfes. BefideS Brown, the Cornilh beggar, who lived to 120, and one Polezew to 130 years of age, he remembered the deceafe of four perfons in his own pariih, the fum of whofe years, taken colledtively, amounted to 340. Now, although longevity evident- 7 ] LON ly prevails more in certain diltri&s than in others, yet Longevity, it is by no means confined to any particular nation or climate j nor are there wanting initances of it in al- moft every quarter of the globe, as appears from the preceding as w7ell as the fubfequent Table j which might have been confiderably enlaiged, had it ap¬ peared neceffary j but we have only added, in the laft, three recent inllances that are peculiarly remark¬ able. Names of the Perfons. Age. Places of Abode. Where recorded. Hippocrates, Phyfician Democritus, Philofopher Galen, Phyfician Albuna, Marc Dumitur Raduly Titus Fullonius Abraham Paiba L. Tertulla Lewis Cornaro Robert Blackeney, Efq. Margaret Scott W. Gulftone J. Bright William Poftell Jane Reeves W. Paulet, Marquis of Winchefter j John Wilfon Patrick Wian M. Laurence Evan Williams John Jacobs (r) Matthew' Tait (s) Donald Macleod (t) 104 109 140 150 140 lS° 142 137 100 114 I25 140 !05 I 20 103 I06 I l6 140 i45 121 123 104 Bland of Cos Abdera Pergamus Ethiopia rHaromfzeck, Tranfyl- \ vania Bononia Charleftown, South-Car Ariminum Venice Armagh, Ireland Dalkeith, Scotland Ireland Ludlow France Effex Hamplhire Suffolk Lefbury, Northumberd. Orcades T Caermarthen work- \ houfe, ftill alive Mount Jura Auchinleck, Ayrfhire f Ifle of Sky. Alive \ Jan. 1792. Lynche on Health, chap. 3. Bacon’s Hiftory, 1095. Volf. Inft. lib. hi. Hakewell’s Ap. lib. i. Died Jan. 18.1782. General Gazetteer, April 18. Fulgofus, lib. viii. General Gazetteer. Fulgofus, lib. viii. Bacon’s Hid. of Life, p. 134. General Gazetteer. Infcription on her tomb there. Fuller’s Worthies. Lynche on Health. Bacon’s Hiftory, p. 134. St James’s Chron. June 14.1781. Baker’s Chron. p. 502. Gen. Gaz. 061. 29. 1782. Plemp. Fundam. Med. § 4. c. 8. Buchanan’s Hid. of Scotland. General Gazetteer, 061. 12th 1782. All the public prints, Jan. 1790. T Died Feb. 19. 1792. Edin. \ Even. Cour. Mar. 8. 1792. All the public prints at the end of 1790 ; and Memoirs, &c. Vol. XII. Part I. E e A (r) This man, in 1789, at the age of 120, quitted his native hills, and from the fummit of Mount Jura un¬ dertook a journey to Verfailles, 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 lad day of his life ; and the principal inconveniences which he felt from his great age were, that his fight was weakened, and the natural heat of his body was fo diminifhed, that he fhivered wfith cold in the middle of the dog-days if he was not fit¬ ting by a good fire. This old man was received in the body of the houfe by the national affembly, indulged with a chair, and dire6ted to keep on his hat led he fhould catch cold if he was to fit uncovered. A colle6tion was made for him by the members, which exceeded 500I. derling ; but he lived not to return to Mount Jura. He was buried on Saturday the 3 id of January 1790, with great funeral pomp, in the parilh-church of St Eudace at Paris. (s) He ferved as a private at the taking of Gibraltar in 1704. (t) Memoirs of the Life and gal!nnt Exploits of the Old Highlander Serjeant Donald Macleod, &c. publifhed 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 of Slate, the ancedor of the prefent Lord Macdonald. The earlier part of his life coincided with the famine of feven years in Scotland j which was fo great as to fugged, even to the patriotic Mr Fletcher, the idea of the people felling themfelves as flaves for imi&ediate fubfidence. He was \ LON [ 218 ] LON A certain author mentions a lift colle&ed by bim- felf of 107 perfons, who all died at the age of 120 and upwards. Two of them attained the age of 150, three of 15 2, one of 154, one of 169, and another 175. In 1763 there were found in Sweden 988 females above 90 years of age. We have feen a lift of 104 perfons, none of whom died under 1 20 years of age, anti one of them, it is faid, lived to the prodigious age of 180. Forty-one of them belonged to England, 16 to Scot¬ land, and 24 to Ireland. The antediluvians are purpofely omitted, as bearing too little reference to the prefent race of mortals, to af¬ ford any fatisfaftory concluftonsj 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 par¬ ticular climate, fituation, or occupation in life : for we fee, that it often prevails in places where all thefe are extremely diffimilar j and it would, moreover, be very difficult, in the hiftories of the feveral perfons above mentioned, to find any circumflance 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, ftiall we find the moft numer^ ous inftances of longevity 5 even frequently, when o- ther external circumitances 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 wrork- houfe, yet reached her 106th year in that fordid and unfriendly fi'tuation. 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 deftruflive to the human fpe- cies; and this confideration alone, perhaps, more than counterbalances all the boafted privileges of fuperior elegance and civilization refulting from a city life. 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 1 ooth year of their age ! This overgrown metropo¬ lis 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, wdthout increafing it. He moreover obferves, that the number of inhabitants in England and Wales has diminiffied about one-fourth part fince the Revolution ; and fo rapidly of late, that in 11 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 confo- lation, wffien confidered in a philofophical light, that without partial evil, there can be no general good *, and -ongevity. was bred in the midft of want and hardffiips, cold, hunger, and for fhe years of his apprenticeffiip with a mafon and ftone-cutter in Invernefs, in inceffant fatigue. He inlifted, wdien a boy, in the Scottiffi fervice, in the town of Perth in the laft year of the reign of King William. The regiment into which he inlifted was the Scots Royals, commanded by the earl of Orkney. That old military corps, at that time, ufed bows and arrows as well as fwords, 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 raifed for enforcing the laws in the Highlands 5 in the fame companies when, under the name of the 42d regiment, they were lent abroad to Flanders, to join the army under the duke of Cumberland j in the fame regiment in Ireland, and on the breaking out of the French war, 1757, in America. From the 42d he was draughted to a£t as a drill ferjeant in the 78th regiment, in which he ferved at the reduffion of Louifhurg 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 j 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 own pocket, and fent him home in a ftiip charged with defpatches to government.—T he ferjeant, “ as his memory, according to the obfervation of his biographer, is impaired, does not pretend to make an exaff enu¬ meration of all his offspring : but he knowrs of 16 fons now living, 14 of. whom are in the army and navy, be- fides daughters ; the eldeft of whom by his prefent wife is a mantuamaker at Nervcaftle.—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 immedi¬ ate 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 ffiould multiply likeneffes of this living antiquity, and cir¬ culate them at an eafy rate throughout Britain and Europe. They would thus gratify a very general cunolity y a.curiofity not ^confined to the prefent age. ■.LON I 21 longevity, and tViat what a nation lofes in tlie fcale of population " v ’ gt; one period, it gams at anOi.Iier ^ and thus prooably, 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 overltocked with inhabitants nor kept too thin, but life and death keep a tolerably equal pace. The inhabitants of this ifland, comparatively fpeaking, are but as the dull of the ba¬ lance ; yet inftead, of being diminilhed, we are aflured by other writers, that within thefe 30 years they are greatly increafed. The defire of felf-prefervation, and of protraftitig the (hort fpan of life, is fo intimately interwoven with our conllitution, 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 means that have been confidered as conducive to health and long life: and, if poffible, to diftinguilh fuch circumftances as are effential to that great end from thofe which are merely accidental. But here it is much to be 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 impoflible to draw the neceflary inferences. Is it not then a matter of aflonifhment, that hiftorians and philofophers have hi¬ therto paid fo little attention to longevity ? If the pre- fent imperfed! lift fhould excite others, of more leifure and better abilities, to undertake a full inveftigation of fo interefting a fubjedl, the inquiry might prove not only curious but highly ufeful to mankind. In or¬ der to furniftr materials for a future hiftory of longe¬ vity, the bills of mortality throughout the kingdom ought firft to be revifed, and put on a better footing, agreeable to the fcheme of which Manchefter and Chef- ter 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 mentioning whether his parents were healthy, long-lived people, &c. An accurate regifter, thus eftablilhed through¬ out the Britifh dominions, wdiould be produclive of many important advantages to fociety, not only in a medical and philofophical, but alfo in a political and moral view. All the circumftances that are moft effentially necef- fary to life, may be comprifed under the fix follow¬ ing heads: 1. Air and climate j 2. Meat and drink; 3. Motion and reft ; 4. The fecretions and excretions ; 5. Sleep and notching ; 6. Affeftions of the mind. Thefe, though all perfeflly natural to the conftitu- tion, have by waiters been ftyled the non-naturals, by a ftrange perverfion of language ; and have been all copioully handled under that improper term. How¬ ever, it may not be amifs to offer a few fhort obferva- tions on each, as they are fo immediately connefted with the prefent fubjeft. 1. AVr, &c. It has long been known that frefti air is more immediately neceffary 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 9 1 LON principle contained in the atmofphere, fo effential to Longevity.^ the fupport of flame, as well as animal lile, concern¬ ing wrhich authors have propofed fo many conjedlureSj appears now to be nothing elfe but that pure dephlo- gifticated Huid 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 fleams from the green leaves of all kinds of vegetables, even from thofe of the moft poifonous kinds, may we not, in fome meafure account why inftances of longevity are fo much more frequent in the country than in large cities ; where the air, in¬ ftead of partaking fo largely of this.falutary impregna¬ tion, is daily contaminated with noxious animal effluvia and phlogifton ? With refpedt to climate, various obfervations con- fpire to prove, that thofe regions wrhich lie within the temperate zones are beft calculated to promote long life. Hence, perhaps, may be explained, why Italy has produced fo many long livers, and why itlands in general are more falutary than continents; of which Bermudas and fome others afford examples. And it is a pleafing circumftance that our own illand ap¬ pears from the above table (notwithftanding the hid¬ den vicifiitudes to which it is liable) to contain far more inftances of longevity than could well be imagin¬ ed. The ingenious Mr Wfflitehurft affures us, from certain fads, that Engliftimen 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 relpective climate, fo that no 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 chnges of temperature with impunity. 2. Foods and drinh. Though foods and drink of the moft fimple 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 profufion of provifions, merely to tantalize the human fpecies, without attributing to her the part of a cruel ftepdame, 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 affimilated into one bland homoge¬ neous chyle ; therefore it feems natural to diftruft thofe cynical writers, who would rigidly confine mankind to one fimple difh, and their drink to the mere water of the brook. Nature, it is true, has' pointed out that mild infipid tluid 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 ftrength againft ficknefs or bodily fatigue, or to exhilerate the mind^ under the preffure of heavy misfortunes. But, a^as . E e 2 what LON r 220 ] LON Hongitu^e. wliat Nature meant for innocent and ufeful cordials, w—“V 1 to be ufed only occafionally, and according to the di- reftion of reafon, cuftom and caprice have by degrees rendered habitual to the human frame, and liable to the mod enormous and deftru&ive abufes. Hence it may be judly doubted, whether gluttony and intem¬ perance have not depopulated the world more than even the fword, pedilence, and famine. True, there¬ fore, is the old maxim, “ Modus atcndi ex veneno facit medic amentum, ex medicamento venenurn. 3. and 4. Motion and rejl, Jleep and watching. It is allowed on all hands, that alternate motion and red, and deep and watching, are neceffary conditions to health and longevity j and that they ought to be adapt¬ ed to age, temperament, conditution, temperature of the climate, &.c. 5 but the errors which mankind daily commit in thefe refpefts become a fruitful fource of difeafes. While fome are bloated and relaxed wdth eafe and indolence, others are emaciated, and become rigid through hard labour, watching, and fatigue. 5. Secretions and excretions. Where the animal fun£lions are duly performed, the fecretions go on re¬ gularly 5 and the different evacuations fo exaftly cor- refpond 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 diminidied, fome other evacua¬ tion is proportionally augmented, and the equilibrium is commonly preferved ; but continued irregularities, in thefe important functions, cannot but terminate in difeafe. 6. AffeEiions of the mind. The due regulation of the paffions, 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 •, while the deprefling affedlions, fuch as fear, grief, and defpair, produce the contrary effect, and lay the foundation of the moil for¬ midable difeafes. From the light which hiftory affords us, as well as from fome inftances in the above table, there is great reafon 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 lb 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 die in early infancy ? To what elfe can we attribute this extraordinary mortality ? 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- flined to rife with the fuu, and to fpend a large por¬ tion of his time in the open air, to inure his body to rebuff exercifes and the inclemency of the feafons, and to make a plain homely repaft only when hunger di&ates. But art has ffudioufly defeated the kind intentions of nature ; and by enflaving him to all the I^n-ford, blandhhments of fenfe, has left him, alas ! an eafy vie- tim to folly 'an,d caprice. To enumerate the various _ ' , abufes which take place from the earlieft infancy, and which are continued through the fucceeding ftages of modifh lifej would carry us far beyond our prefent intention. Suffice it to obferve, that they prevail more particularly among people wdio are the moft highly polilhed 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 con- traft ; and at the fame time fupply an additional reafon why, in the very large cities, inftances of longevity are. fo very rare. LONGFORD, a county of Ireland, in the pro¬ vince of Leintler, bounded by the counties of Leitrim and Cavan on the north, Meath on the eaft and fouth, and Rofcommon on the weft. It contains 143,700 Irifti plantation acres, 24 pariihes, 6 baronies, and 4 boroughs 5 and returns 10 members to parliament. It is fmall, and much encumbered whh bog, intermixed with a tolerable good loil \ and is about 25 miles long and 1 5 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 a few miles below this place into the Shannon. It is a borough, poft, market, and fair town 5 and returns two members to parliament 5 patron, Lord Longford. It gave title of earl to the family of Aungier ; oiyif count, 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 wrell built j and in a very early age an abbey was founded here, of wdiich 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 O’Ferral prince 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 ftiould contri¬ bute to the rebuilding of it. In I433> P°Pe Ej1* gene IV. granted a bull to the fame purpofe ; and in 1438 he granted another to the like effefl. I he church of this friary, now the parith church, is in the diocefe of Ardagh. T he fairs are four in the year.. LONG-island, is an ifland of North .America, belonging to the ftate of New-York, which is feparat- ed from the continent by a narrow channel. . It ex¬ tends from the city of New7-York eaft 140 mdes, tei- minating wdth IVIontauk point 5 and is not more than 10 miles in breadth on a medium. It is divided into three counties, King’s, Queen’s, and Suffolk. I he 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 raifing grain, efpecially Indian corn, ft he 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 marfhes upon the fouth fide of the ifland. Hampftead plain in Queen’s county is a curiofity. It LON. [2 tongime- is 16 miles in length, caft and weft, and 7 or 8 miles try wide. The foil is black and to appearance rich, and 11. yet it was never known to have any natural growth, ongnais.^ a i^r} 0f grafs and a few fhrubs. It is fre¬ quented by vaft numbers of plover. Rye grows toler¬ ably w’ell on fome parts of the plain. The mcrft of it lies common for cattle, horfes, and ftieep. As there is nothing to impede the profpeft in the whole length of this plain, it has a curious but tirefome effedt upon the eye, not unlike that of the ocean. The illand contains 30,863 inhabitants. LONGIMETRY, the art of meafuring lengths, both accellible and inaccefiible. See Geometry and Trigonometry. LONGING, is a preternatural appetite in pregnant w'omen, and in fome fick perfons wrhen about to recover. It is called pica, from the bird of that name, which is faid to be fubjeft to the fame diforder. The diforder confifts of both a defire of unufual things to eat and drink, and in being foon tired of one and wanting another. It is called • 77ztf/<2£7h, from “ w7eak- nefs.” In pregnant women it is fomewhat relieved by bleeding, and in about the fourth month of their preg¬ nancy it leaves them. Chlorotic girls, and men wdio labour under fuppreffed hemorrhoids, are very fubjeft to this complaint, and are relieved by promoting the refpecfive evacuations. In general, whether this dif¬ order is obferved in pregnant women, in perfons re¬ covering from an acute fever, or thofe w’ho labour un¬ der obftrucfions of the natural evacuations, this craving of the appetite fhould be indulged. LONGINICO, a town of Turkey in Europe, in the Morea, anciently called Olympia, famous for being the place where the Olympic games were celebrated, and for the temple of Jupiter Olympus, about a mile diftant. It is now but a fmall place, feated on the river Alpheus, 10 miles from its mouth, and 50 fouth of Lepanto. E. Long. 22. o. N. Lat. 37. 30. LONGINUS, Dionysius, a celebrated Greek cri¬ tic of the third century, was probably an Athenian. His father’s name is unknown, but by his mother he was allied to the celebrated Plutarch. His youth was fpent in travelling with his parents, which gave him an opportunity to increafe his knowledge, and improve his mind. After his travels, he fixed his refidence at Athens, and with the greateft aftiduity applied to ftudy. Here he publifhed his Treatife on the Sublime ; wdiich railed his reputation to fuch a height, and gave the Athenians fuch an opinion of his judgement and tafte, that they made him fovereign judge of all authors, and every thing was received and reje£ted by the public according to his decifions. He feems to have ilaid at Athens a long time j here he taught the academic phi- lofophy, and among others had the famous Porphyry for his pupil. But it was at length his fortune to be drawn from Athens, and to mix in more aftive fcenes •, to train up young princes to virtue and glory j to guide the bufy paflions of the great to noble objefts 5 to ftruggle for, and at laft to die in, the caufe of liberty. Zenobia, queen of the Eaft, prevailed on him to un¬ dertake the education of her fons : and he foon gained an uncommon ftiare in her efteem : (he fpent the vacant hours of her life in his converfation, and modelled her fentiments and condudl by his inftruflions. That prin- cefs was at war with Aurelian j and being defeated by 11 ] LON him near Antioch, was compelled to (hut herfelf up in Lorglffi- Palmyra, her capital city. The emperor wrote her a 11 letter, in which he ordered her to furrender \ to which (he returned an anfwer, drawn up by Longinus, which filled him with refentraent. The emperor laid fiege to the city j and the Palmyrians were at length obliged to open their gates and receive the conqueror. The queen and Longinus endeavoured to fly into Perfia ; but were unhappily overtaken and made prifoners when they were on the point of eroding the Euphrates. The queen, intimidated, weakly laid the blame of vindicat¬ ing the liberty of her country on its true author j and the brave Longinus, to the difgrace of the conqueror, was carried wray to immediate execution. The wnit- ings of Longinus were numerous, fome on philofophi- cal, but the greater part on critical fubjefts. Dr Pearce has colledled the titles of 25 treadles, none of which, excepting that on the Sublime, have efcaped the depredations of time and barbarians. On this im- perfeft piece the great fame of Longinus is railed, wTho, as Pope exprefies it—“ is himfelf the great fu- blime he draws.” The beft edition of his vvoiks is that by Tollius, printed at Utrecht in 1694, cutn noth variorum. It has been tranflated into Englifti by Mr Smith. LONGISSIMUS dorsi. See Anatomy, Table of the Mufcles. LONGITUDE, in Geography and Navigation, is the diftance of any place from another eaftward 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 includes both lati¬ tude 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 improv¬ ed.—The importance of this problem foon became fo well knowm, that, in 1598, Philip III. of Spain of¬ fered a reward of 1000 crowns for the folution ; and • his example was foon follow’ed by the Spates General, who offered 10,000 florins. In 1714 an aft was paf- fed in the Britilh parliament, empowering certain com- miflioners to make out a bill for a fum not exceeding 2000I. for defraying the neceffary expences of expe¬ riments for afeertaining this point $ and likewdfe 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 : 10,000k was granted if the longitude (hould be determined to one degree of a great circle, or 60 geographical miles ; 15,000!. if to two thirds of that diftance j and 20,000k if to half the diftance. In confequence of thefe proffered rewards, innumer¬ able attempts were made to difeover this important fe- cret. The firft was that of John Morin profeffor of ma¬ thematics at Paris, who propofed it to Cardinal Riche¬ lieu ; and though it was judged infufticient on account of the imperfeftion of the lunar tables, a penfion of 2000 livres per annum was procured for him in 1645 by Cardinal Mazarine. Gemma Frifius had indeed, in 1530, projefted a method of finding the longitude by means of watches, which at that time were newly in¬ vented : but the ftrufture of thefe machines w’as then by far too imperfeft to admit of any attempt; aor even in LON [22: }/jfrgitu*e. in 1631, when Metius made an attempt to this purpofe, c 'T—* were they advanced in any confiderable degree. About the year 1664, Dr Hooke and Mr Huygens made a x very great improver„ent in watchmaking, by the appli¬ cation of the pendulum fpring. Dr Hooke having quarrelled with the minittry, no experiment was made with any of his machines 5 but many were made with thofe of Mr Huygens. One experiment particularly, made by Mapr Holmes, in a voyage from the coalt of Guinea in 1665, anfwered fo well, that Mr Huygens was encouraged to improve the ftru&ure of his watches : but it was found that the variations of heat and cold produced fuch alterations in the rate of going of the watch, that unlefs this could be remedied, the watches could be of little ufe in determining the longitude. In 1714 Henry Sully, an Englidiman, printed a fmall traft at Vienna upon the fubje£l of watchmaking. Having afterwards removed to Paris, he applied himfelf to the improvement of time-keepers for the difcovery of the longitude. He taught the famous Julian de Roy : and this gentleman, with his fon, and M. Berthoud, are the only perfons who iince the days of Sully, have turned their thoughts this wTay. But though experi¬ ments have been made at fea with fome of their watch¬ es, it does not appear that they have been able to ac- compliih any thing of importance with regard to the main point. The firfl: who fucceeded in any confider¬ able degree was Mr John Harrifon •, who, in 1726, produced a watch which went fo exaftly, that for ten years together it did not err above one fecond in a •month. In 1736 it was tried in a voyage to Lilbon and back again, on board one of his majefty’s fliips ; during which it corredled an error of a degree and a half in the computation of the (hip’s reckoning. In confequence of this he received public encouragement to go on : and by the year 1761 had finifhed three time-keepers, each of them more accurate than the former. The laft turned out fo much to his fatisfaflion, that he now applied to the commiffioners of longitude lor leave to make an experiment with his watch in a voyage to the Weft Indies. Permiftion being granted, his fon Mr William Harrifon fet out in his majefty’s fhip the Deptford for Jamaica in the month of Novem¬ ber 1761. This trial wras attended with all imaginable fuccels. The longitude of the ifland, as determined by the time-keeper, differed from that found by aftrono- mical obfervations only one minute and a quarter of the equator ; the longitudes of places feen by the way be¬ ing alfo determined with great exaftnefs. On the (hip’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 diftance •, which being within the limits prefcribed by the aft, the inventor claimed the whole ’20,0001. offered by government. Objeftions to this, however, were foon darted. Doubts w'ere 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 w?as alleged alfo, that although the time-keeper happened to be flight 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 objeftions as poffible. The commif- 2 ] LON (loners fent out proper perfons to make aftronomical Longitude: obfervations at that ifland : which, when compared't— with others in England, wTould afcertain beyond a doubt its true fituation. In 1 764 then,, Mr Harrifon junior fet fail for Barbadoes *, and the refult of the experi¬ ment wras, that the difference of longitude betwixt Portfmouth and Barbadoes was drown by the time¬ keeper to be 3b. 55' 3" j and by aftronomical obfer¬ vations to be 3b. 54' 20"; the error being now only 43" of time, or 10' 45" of longitude. In confequence of this and the former trials, Mr Harrifon received one half of the reward promifed, upon making a difcovery of the principles upon which his time-keepers were con- ftrufted. He w^as likewife promifed the other half of the reward as foon as time-keepers fhould be conftruft- ed by other artifts which (hould anfwer the purpofe as well as thofe of Mr Harrifon himfelf. At this time he delivered up all his time-keepeis, the laft of which was fent to Greenwich to be tried by Mr Nevil Malkelyne, the aftronomer-royal. On trial, howTever, it was found to go with much lefs regularity than had been expeft- ed j but Mr Harrifon attributed this to his having made fome experiments with it which he had not time to finifh w hen he was ordered to deliver up the watch. Soon after this, an agreement was made by the com¬ miffioners with Mr Kendall to conftruft a watch upon Mr Harrifon’s principles ; and this upon trial w^as found to anfwer the purpofe even better than any that Har¬ rifon himfelf had conftrufted. This watch was fent out with Captain Cook in 1772 ; and during all the time of his voyage round the world in I772> I773» 1774, and 1775, never erred quite 144- feconds per day : in confequence of which, the houfe of commons, in 1774, ordered the other io,oool. to be paid to Mr Harrifon. Still greater accuracy, however, has been attained. A w-atch was lately conftrufted by Mr Arnold, which, during a trial of 1 3 months, from February 1779 to February 1780, varied no more than’ 6.69" during any two days •, and the greateft difference between its rates of going on any day and the next to it was 4.11". The greateft error it wmuld have committed therefore in the longitude during any (ingle day would have been very little more than one minute of longitude } and thus might the longitude be determined with as great exaftnefs as the latitude gene¬ rally can.—This watch, however, has not yet been tried at fea. Thus the method df conftrufting time-keepers for difcovering the longitude feeras to be brought to as great a degree of perfeftion as can well be expefted. Still, however, as thefe watches are fubjeft to acci¬ dents, and may thus alter the rate of their going with¬ out any poflibility of a difcovery, it is neceffary that fome other method (hould be fallen upon, in order to correft from time to time thofe errors which may arife either from the natural going of the w^atch, or from any accident which may happen to it. Methods of this kind are all founded upon celeftial obfervations of fome kind or other •, and for thefe methods, or even for an improvement in time-keepers, rewards are dill held out by government. After the difcoveries made by Mr Harrifon, the aft concerning the longitude was repealed, excepting fo much of it as related to the conftrufting, printing, publifliing, &c. of nautical al¬ manacks and other ufeful tables. It was enafted al fb, that LON { 2: Longitude, that-any perfon who (hall difcover a method for find- l" ing the longitude by means of a time-keeper, the prin¬ ciples of which have not hitherto been made public, fhall be entitled to a reward of 5000I. if, after cer¬ tain trials made by the commiffioners, the faid method fliall 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 fhip keeps her longi¬ tude within 40 geographical miles' for that time, the inventor is entitled to a reward of 7500I. and to 10,cool, if, the longitude is kept within half a de¬ gree. If the method is by improved afironomical tables, the author is entitled to 5000I. when they {how the diflance of the moon from the fun and ftars within 15 feconds of a degree, anfwerlng to about 7 minutes of longitude, after allowing half a degree for errors of obfervation and under certain reftridiions, and after comparifon with aftronomical obfervations for a period of 184- years, during which the lunar ir¬ regularities are fuppofed to be completed. The fame rewards are offered to the perfon who fhall wdth 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 ftars with regard to the moon, the beginning and ending of eclipfes, &c. wall anfvver the purpofe : only it is abfolutely neceffary that fome variation fhould be perceptible in the phenomenon in the fpace of tw'o minutes 5 for even this (hort 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 conftrudl- ed, and carefully corredled from time to time, as the mutual attradlions of thefe bodies are found greatly to difturb the regularity of their motions. The difficulty here, however, is to obferve thefe eclipfes at fea ; and this difficulty has been found fo great, that no perfon feems able to furmount 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 pro¬ bably will ever be found. Mr Chriftopher Irwin in¬ deed invented a machine which he called a marine chair, with a view to prevent the effeifls of this agita¬ tion ; but on trying it in a voyage to Earbadoes, it was found to be totally ufelefs. A whimfical method of finding the longitude was propofed by Meffrs 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 diftances between the two places; whence, if we know the latitudes of thefe places, their longitudes muft alfo be known. If the exafl time of the explo- fion 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 combuftible matter, and fired perpendicu¬ larly upward into the air, the ftiell wdll be carried to the height of a mile, and will be feen at the diftance of 3 ] LG N near 100 j whence* fuppoftng neither the flaffi of the Longitude, mortar ffiould be feen nor the report heard, ftill the longitude might be determined by the altitude of the ftiell above the horizon. According to this plan, mortars were to be fired at certain times and at proper ftations along all frequented coafts for the dire£lion of mariners. This indeed might be of ufe, and in ftormy weather might be a kind of improvement in lighthoufes, or a proper addition to them $ but with regard to the determination of longi¬ tudes, is evidently ridiculous. We fliall now proceed to give fome pradlical direc¬ tions for finding the longitude at fea by proper ce¬ leftial obfervations ; exclufive of thofe from Jupiter’s fatellites, which, for reafons juft mentioned, cannot be praclifed at fea. In the firft place, however, it will be neceffary to point out fome of thofe difficulties which ftand in the way, and which render even this method of finding the longitude precarious and uncer¬ tain. Thefe lie principally in the redudlion of the ob¬ fervations 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 appear in their proper fituation. It is alfo verv difficult to make proper allowances for the refraction of the atmofphere, by which all objedls appear higher than theyr really are ; and another difficulty arifes from their parallaxes, which make 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 refradlion aft in oppofite ways to one another, the for¬ mer depreffing and the latter raifing the objeft, it is plain, that great difficulties muft arife from this circum- ftance. The fun, for inftance, whofe parallax is lefs than the refraftion, muft always appear higher than he really is but the moon, whofe parallax is greater than her refraftion, 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 ta¬ bles. But whatever may be done in this way, it will be neceffary to make the neceffary preparations concern¬ ing the dip of the horizon, the refraftion, femidiame- ters, parallax, &c. in order to reduce the apparent to the true altitudes and diftances ■, for which wTe 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 furniftied 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 inftrument will ftill he more fit for the purpofe if it be furniftied with a ferew for moving the index gradually j 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, wffiich may magnify three or four times, is alfo necefiary to render the contaft of a ftar with the moon’s limb more difcernible. A magnifying glafs of one % LON ' [ 224 ] . LON Xongitnde. one and a half or two inches focus will likewife affift v 1 the operator in reading off his obfervations with the greater facility. 1. To make the obfervation. Having examined and adjufted his inftrument as well as poflible, the obferver is next to proceed in the following manner ; If the di- ftance of the moon from the fun is to be obferved, turn down one of the fcreens *, 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 contacl, and let the quadrant librate a little on the lu¬ nar ray •, by which means the fun will appear to rife and fall by the fide of the moon j in which motion the neareft limbs muft be made to touch one another exaft- ly by moving the index. Ihe obfervation is then made ; and the divifion coinciding with that on the Vernier fcale, will fhow the diftance of the neareft limbs of the objefts. When the diftance of the moon from a ftar is to be obferved when the moon is very bright, turn down the lighteft fcreen, or ufe a dark glafs lighter than the fcreens, and defigned for this particular purpofe} look at the ftar diredtly through the tranfparent part of the horizon-glafs j and keeping it there, move the index till the moon’s image is brought into the filvered part of the fame glafs. Make the quadrant librate gently on the ftar’s ray, and the moon will appear to rife and fall by the ftar : move the index between the librations, until the moon’s enlightened limb is exa&ly touched by the ftar, and then the obfervation is made. In thefe operations, the plane of the quadrant muft alwrays pafs through the two objects, the diftance of which is to be obferved ; and for this purpofe it muft be placed in various pofitions according to the fituation of the objefts, which will foon be rendered eafy by prac¬ tice. The obfervation being made, fomebody at the very inftant that the operator calls muft obferve by the watch the exa£t hour, minute, and quarter minute, if there be no fecond hand, in order to find the apparent time; and at the fame inftant, or as quick as poflible, * two afliftants muft take the altitudes of thofe objedls the diftance of which is obferved j after w’hich, the ob¬ fervations neceffary for finding the longitude are Com¬ pleted. The Ephemeris (hows the moon’s diftance from the fun, and likewife from proper ftars, to every three hours of apparent time for the meridian of Greenwich $ and that the greater number of opportunities of obferv- ing this luminary may be given, her diftance is gene¬ rally fet dowm from at le&ft one objeef on each fide of her. Her diftance from the fun is fet dowm wTile it is between 40 and 1 20 degrees ; fo that, by means of a fextant, it may be obferved for two or three days after her firft and before her laft quarter. When the moon is between 40 and 90 degrees from the fun, her diftance is fet down both from the fun and from a ftar on the contrary fide : and, laftly, when the diftance is above 120 degrees, the diftance is fet down from tw'o ftars, one on each fide of her. The diftance of the moon from objedls on the eaft fide of her is found in the Ephe¬ meris in the 8th and 9th pages of the month ; and her diftance from objects on the weft is found in the Ioth Long and 1 ith pages of the month. WThen the Ephemeris is ufed, the diftance of the moon muft only be obferved from thofe ftars the di¬ ftance of which is fet down there ; and thefe afford a ready means of knowing the ftar from which her di¬ ftance ought to be obferved. The obferver has then nothing more to do than to fet his index to the di¬ ftance roughly computed at the apparent time, efti- mated nearly for the meridian at Greenwich j after which he is to look to the eaft or weft of the moon, according as the diftance of the ftar is found in the 8th or 9th, or in the 10th or nth, pages of the month •, and having found the moon upon the hori¬ zon-glafs, the ftar will eafily be found by fweeping with the quadrant to the right or left, provided the-air be clear and the ftar be in the line of the moon’s thort- eft axis produced. The time at Greenwich is efti- mated by turning into time the fuppofed longitude from that place, and adding it to the apparent time at the fhip, or fubtrafting it from it as cccafion re¬ quires. The diftance of the moon from the fun, or a ftar, is roughly found at this time, by faying, As i8o minutes (the number contained in three hours) is to the difference in minutes between this nearly eftimated time and the next preceding time fet down in the Ephemeris j fo is the difference in minutes between the diftance in the Ephemeris for the next preceding and next following times, to a number of minutes ; which being added to the next preceding diftance, or fub- trafted from it, according as it is increafing^ or de- creafing, will give the diftance nearly at the time the obfervation is to be made, and to which the index mull be fet. An eafier method of finding the angular diftance is by bringing the obje£ts nearly into contact in the common wTay, and then fixing the index tight to a certain degree and minute •, waiting until the objefls are nearly in contafl, giving notice to the afliftants to get ready with the altitudes, and when the objeifts are exa&ly in contasft to call 'for the altitudes and the exaft time by the w^atch. The obferver may then prepare for taking another diftance, by fetting his index three or four minutes backwards or forwards, as the objedls happen to be receding from or approaching to each other *, thus proceeding to take the diftance, altitudes, and time by the watch, as before. "Ihus the obferver may take as many diftances as he thinks proper $ but four at the diftance of three minutes, or three at. the diftance of four minutes, will at all times be fufficient. Thus not only the eye of the obferver will be lefs fa¬ tigued, but he will likewife be enabled to manage his inftrument with much greater facility in every direc¬ tion, a vertical one only excepted. If in taking the diftances the middle one can be taken at any even di¬ vifion on the arch, fuch as a degree, or a degree and 20 or 40 minutes, that diftance will be independent of the Nonius divilion, and confequently free of thofe errors which frequently arife from the inequality of that divifion in feveral parts of the graduated arch. The obfervation ought always to be made about two hours before or after noon 5 and the true time may be found by the altitude of the fun taken at the precife time of the diftance. If three diftances are taken, ' then LON [2 Longitude, then find the time by the altitude correfponding with V"“”"v ' the middle diftance j 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 ftar cannot be depended up¬ on, becaufe of the uncertainty of the horizon in the night, the beft wmy of determining the time for a night obfervation will be by twTo 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 degrees high. It muft be obferved, how'ever, that in order to follow thefe diredtions, it is neceffary that the atmofphere fhould be pretty free from clouds ; otherwile the ob- ferver muft take the obfervations at fuch times as he Can beft obtain them. 2. To reduce the olferved Dijlance of the Sun or a Star from the Moon to the true Di/lance, i. Turn the longitude into time, and add it to the time at the {hip if the longitude be weft, but fubtrad! it if it be eaft, which will give the fuppofed time at Greenwich ; and this we may call reduced time. 2. Find the neareft noon or midnight both before and after the reduced time in the feventh page of the month in the Ephemeris. 3. Take out the moon’s femidiameter and horizontal parallaxes correfponding to thefe noons and midnights, and find their differences. Then fay, As 12 hours is to the moon’s femidiameter in 1 2 hours, fo is the redu¬ ced time to a number of feconds; which, either added to or fubtradled from the moon’s femidiameter at the noon or midnight juft mentioned, according as it is in- creafing or decreafing, wdll give her apparent femidia¬ meter 3 to which add the correftion from Table VIII. of the Ephemeris, and the fum will be her true femidia¬ meter at the reduced time. And as 12 hours is to the difference of the moon’s horizontal parallax in I 2 hours, fo is the reduced time to a fourth number 3 which, be¬ ing added to or fubtrafted from the moon’s horizontal parallax at the noon or midnight before the reduced time, according as it is increafing or decreafing, the fum or difference wall be the moon’s horizontal parallax at the reduced time. 4. If the reduced time be nearly any even part of 12 hours, viz. -gth, |th, &c. thefe parts of the difference may be taken, and either added or fubtraffed according to the direftions already given, without being at the trouble of working by the rule of proportion. 5. To the obferved altitude of the fun’s Iowrer limb add the difference betwixt his femidiameter and dip 3 and that fum will be his apparent altitude. 6. From the fun’s refradlion take his parallax in alti¬ tude, and the remainder will be the correftion of the fun’s altitude. 7. From the ftar’s obferved altitude take the dip of the horizon, and the remainder will be the apparent altitude. 8. The refratlion of a ftar will be the corre61ion of its altitude. 9. Take the difference between the moon’s fem diameter and dip, and add it to the obferved altitude if her lowTer limb was taken, or fubtratft it if her upper limb was taken 3 and the fum or difference will be the apparent altitude of her centre. to. hrom the proportional logarithm of the moon’s ho¬ rizontal parallax, taken out of the nautical almanack -(increafing its index by 10), take the logarithmic co¬ fine of the moon’s apparent altitude, the remainder will be the proportional logarithm of her parallax in alti- Vou XII. Part I. 15 ] LON tude 3 from which take her refraftion, and the remain¬ der will be the correftion of the moon’s altitude. 11. To the obferved diftance of the moon from a ftar add her femidiameter if the neareft limb be taken, but fub- traft it if the fartheft limb was taken, and the fum or difference will be the apparent diftance. 12. To the obferved diftance of the fun and moon add both their femidiameters, and the fum will be the apparent di¬ ftance of their centres. 3. To find the true Difance of the Objects, having their apparent Altitudes and Dijlances. 1. To the pro¬ portional logarithm of the correction of the fun or ftar’s altitude, add the logarithmic cofine of the fun or liar’s apparent altitude 3 the logarithmic fine of the apparent diftance of the moon from the fun or ftar ) and the logarithmic cofecant of the moon’s apparent altitude. The fum of thefe, rejefting 30 from the index, will be the proportional logarithm of the firft angle. 2. To the proportional logarithm of the cor- redion of the fun or ftar’s altitude, add the loga¬ rithmic cotangent of the fun or ftar’s apparent alti¬ tude, and the logarithmic tangent of the apparent diftance of the moon from the fun or ftar. The fum of thefe, rejedling 20 in the index, will be the pro¬ portional logarithm of the fecond angle. 3. Take the difference between the firft and fecond angles, adding it to the apparent diftance if it be lefs than 93, and the firft angle be greater than the fecond 3 but fubtradling it if the fecond be greater than the firft. If the diftance be greater than 90, the fum of the angles muft be added to the apparent diftance, which will give the diftance corrected for the refrac¬ tion of the fun or ftar. 4. To the proportional lo¬ garithm of the corredlion of the moon’s altitude add the logarithmic cofine of her apparent altitude 3 the logarithmic fine of the diftance corredted for the fun or ftar’s refradtion and the logarithmic cofecant of the fun’s or ftar’s apparent altitude. The fum, rejedl- ing 30 in the index, will be the proportional loga¬ rithm of the third angle. 5. To the proportional logarithm of the corredfion of the moon’s apparent altitude, add the logarithmic cotangent of her appa¬ rent altitude, and the tangent of the diftance cor- redled for the fun or ftar’s refradtion 3 their fum, re- jedling 20 in the index, will be the proportional lo¬ garithm of the fourth angle. 6. Take the difference between the third and fourth angles, and fubtradl it from the diftance corredled for the fun or ftar’s re- fradtion if lefs than 90, and the third angle be great¬ er than the fourth 3 or add it to the diftance if the fourth angle be greater than the third : but if the diftance be more than 90, the fum of the angles muft be fubtradl- ed from it, to give the diftance corredled for the fun or ftar’s refradlion, and the principal effedls of the moon’s parallax. 7. In Table XX. of the Ephemeris, look for the diftance corredled for the fun and ftar’s refradlion, and the moon’s parallax in the top column, and the corredlion of her altitude in the left-hand fide column 3 take out the number of feconds that Hand under the former, and oppofite to the latter. Look again in the fame table for the corredled diftance in the top column, and the principal effedls of the moon’s parallax in the left-hand fide column, and take out the number of i’econds. The difference between thefe two F f uumbers LON [2 Longitude, numbers muft be added to tbe corrected diftance if lefs ^— than 90, but fubtrafted from it if greater j and the fum or dift'erence will be the true diilance. 4. 2b determine the Longitude after having obtain¬ ed the true Dijlance. Look in the Ephemeris among the diilances of the objebfs for the computed diftance betwixt the moon and the other object obferved on the given day. If it be found there, the time at Greenwich wall be at the top of the column j but if it falls between tw'O diftances in the Ephemeris which ftand immediately before and after it, and alfo the difference between the diftance Handing before and the computed diftance j then take the proportional logarithms of the firft and fecond differences, and the difference between thele two logarithms will be the proportional logarithm of a number of hours, minutes, and feconds ; which being added to the time ftanding over the firft diftance, will give the true time at Green¬ wich. 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 being added as above directed, will give the time at Greenwich. The difference between Greenwich time and that at the ftiip, turned into longitude, will be that at the time the obfervations were made j and wall be eaft if the ijme at the ftiip Is greateft, but weft if it is leaft. Having given thele general diredions, we ftiall next proceed to ihow fome particular examples of finding the longitude at fea by all the different methods in w'hich it is ufually tried. ^ I. Tofind the Longitude by Computation from the Ship's Courfe.—Were it poflible to keep an accurate account of the diftance the flap has run, and to meafure it ex- f See Log, a^]y by the log * or any other means, then both lati- Perpetual. tu(je anj iong|tuc}e vvould eafily be found by fettling the Ihip’s account to that time. For the courfe and diflance being knowm, the difference of latitude and departure is readily found by the Traverfe Table : and 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 Ihip’s continual de- fle&ion 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- pofed to be failed being erroneous, on account of ftormy feas, unfteady winds, currents, &c. for which it feems impoffxble to make any allowance. The place of the Ihip, however, is judged of by finding the la¬ titude every day, if poflible, by obfervations j and if the latitude found by obfervation agrees with that by the reckoning, it is prefumed that the (hip’s place is properly determined ; but if they difagree, it is con¬ cluded that the account of the longitude ftands in need of correflion, 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 many of the motions near the ftrore can be accounted for. It is fuppofed that fome of thofe in the great oceans are owing to the tide following the moon, and a certain libration of the waters arifing from thence } likewife that the unfettled nature of thefe currents may be owing to the changes in the moon’s declina- 26 ] LON tion. In the torrid zone, how'ever, a confiderable cur- Longitude, rent Is occafioned by the trade winds, the motion be- '’““"’V" 1 ing conftantly to the w'eft, at the rate of eight or ten miles per day. At the extremities of the trade wands or near the 30th degree of north or fouth latitude, the currents are probably compounded ol this motion to the weftward, and of one towards the equator j whence all (hips failing within thefe limits ought to allow a courfe each day for the current. When the error is fuppofed to have been occafioned by a current, it ought if poflible to be tried whether the cafe is fo or not $ or we muft make a reafonable eftimate of its drift and courfe. Then with the fel¬ ting and drift, as a courfe and diftance, find the difo ference of latitude and departure ; with which the dead reckoning is to be increafed or diminiflied ; and if the latitude thus corrected agrees with that by ob¬ fervation, the departure thus corrected may be fafely taken as true, and thus the (hip’s place with regard to the longitude determined. Exam. Suppofe a ftiip in 24 hours finds, by her dead reckoning, that (he has made 96 miles of dif¬ 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 (hip’s departure. Miles. Diff. lat. by account 96 N. Diff. lat. by current 16 N. True diff. lat. 112 Departure by 1 account j Departure by ’) current \ Miles. 38 w. 10 28 w. Here the dead reckoning corredted by the current gives the difference of latitude 112 miles, which is the fame as that found by obfervation j whence the departure 28^ is taken as the true one. 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 direft 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 of the parallel, or more than five points from the me¬ ridian, the error is probably to be aferibed to the courfe. But if the courfes in general are near the mid¬ dle of the quadrant, the error may be either in the courfe, or in the diftance, or both. This method ad¬ mits of three cafes. x. When, by the dead reckoning, the difference of latitude is more than once and a half the departure j or when the courfe 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 longitude. 2. When the dead reckoning is more than once and a half the difference of latitude j or when the courfe is more than five points : Find the courfe and diflance, w’ith the difference of latitude by obfervation, and departure by account j then with the co-middle latitude by obfervation, and departure by account, find the difference of longitude. 3. When Longitude. LON f '227 ] LON 3. When the difference of latitude and departure by account is nearly equal, or the direct courfe is be¬ tween three and five points of the meridian : Find the courfe with the difference of latitude and departure by account fince the laft obfervation. With this courfe and the difference of latitude by obfervation find ano¬ ther departure. Take half the fum of thefe departures for the true one. With the true departure and differ- ance 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 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, (hewing the varia¬ tion in all the places over which they paffed in the year 1700, at which time he firft publifhed the chart; whence the longitude of thofe places might be found by the chart, provided its latitude and variation were 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 will be the (hip’s place. Exam. A (hip finds by obfervation the latitude to be 18° 20' north, and the variation of the compafs to be 40 tveft. Required the (hip’s place.—Lay a ruler over 18° 20' north parallel to the equator; and the point where its edge cuts the curve of 4* weft varia¬ tion 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 variation chart may be of great ufe for the reft. Even in thofe places indeed where the varia¬ tion curves do run eaft or wTeft, they may be of con- jiderable ufe in correcting 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 exactly, the eaft and weft curve anfwering to it will (how the latitude But, 2. The variation itfelf is fubjeCt to continual change ; whence a chart, though ever fo perfeCt at firft, muft in time become totally ufe- lefs ; and hence the charts conftruCted by Dr Halley, though of great utility at their firft publication, became at length almoft entirely ufelefs. A newr one w^as pub¬ lifhed in 1746 by Meffrs Mountaine and Dodfon, which was fo well received, that in 1756 they again drew variation lines for that year, and publiftied 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, con¬ taining the refult of more than 50,000 obfervations, in fix periodical reviews from the year 1700 to 1756 in- clufive, adapted to every five degrees of latitude and longitude in the more frequented oceans 5 all of which were publifhed in the Philofophical Tranfaftions for I757- 3. To find 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 this computed declination and that (hown 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 dif¬ ference of longitude. In this method, however, a fmall error in the declination will make a great one in the 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 follow¬ ing, and take their difference ; alfo take the difference betwixt the times of culminating on the fame day as found in the ephemeris and as obferved ; then fay, as the daily difference in the ephemeris is to the difference between the ephemeris and obfervation ; fo is 360 de¬ grees to the difference of longitude. In this method alfo a fmall difference in the culmination will occafion a great one in the longitude. 5. By Eclipfes of the Moon.—This is done much ia the fame manner as by the eclipfes of Jupiter’s fatel- lites : 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 di¬ gits eclipfed, or the time when the ffradow touches fome remarkable fpot, or when it leaves any particular fpot on the moon, the difference of the times when the ob¬ fervations were made will give the difference of longi¬ tude. Phenomena of this kind, however, occur too feldom to be of much ufe. 6. In the 76th volume of the Philofophical Tranf- aftions, 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 trunfit over the meridian. The inftruments ufed in his obfervations were a gridiron pendulum clock, a two feet and a half refledlor, an eighteen inch quadrant made by Mr Bird, and a tranfil in ft rumen t made by Mr S’(Ton. By thefe inftruments an obfervation wras made, ou the 10th of September 1783, of the occultation of a ftar of the ninth magnitude by the moon, during an eclipfe of that planet, at York and Paris. Befides this, there were obfervations made of the immerfions of

we have the following e- quation: L~ (a). Alfo, from a well known O —o property of the rhumb line, we have the following equation : S-j_E^:R-}-D, where S is the logarithmic cofine of C, E the logarithm of the length of the rhumb line, or diftance, D the logarithm of the minute’s difference of latitude, and R the logarithm of the radius. By the help of thefe two equations, we {hall have am eafy folution of the feveral cafes to which the middle latitude, or meridional parts, are commonly ap¬ plied. Exam. A (hip from a port in latitude 56° N*fails S. W. by W. till (he arrives at the latitude of 40® N : Required the difference of longitude ? Here fl=34#, b=so°, 0=56° 15", A=r9.43534, B—9.56107, S':=9.91993o8, 8=9.9198464; there¬ fore, L=--^— — 897 the minutes differ- ’ S'—b 844 ence of longitude. Alfo, 8=9.74474, 0=2.98227; therefore E= R-J-D—S —3.23753, to which the na¬ tural number is 1728, the miles in the rhumb line fail¬ ed over. 2. The common method of finding the difference of longitude made good upon feveral courfes and di- dances, by means of the difference of latitude and de¬ parture made good upon the feveral courfes, is not ac¬ curately true. For example : If a (hip (hould fail due fouth 600 miles, from a port in 6o° north latitude, and then due weft 600 miles, the difference of longitude found by the 29 ] LON common methods of folution would be 1053 ; whereas Longitede.^ the true difterence of longitude is only 933? lefs than the former by 120 miles, which is more than one eighth of the whole. Indeed, every confiderable alteration in the courfe will produce a very fenlible error in the dif¬ ference of longitude. Though, when the feveral rhumb lines failed over are nearly in the fame direction, the error in longitude will be but (mall. The reafon of this will eafily appear from the annexed figure, in which the (hip is fuppoled to fail from Z to A, along the rhumb lines ZB, BA; for if the meri¬ dians PZ,PkoeBL be drawn ; and very near the latter other two meridians PhlD, Pmn ; and likewife the pa¬ rallels of latitude Bn, De, mo, hk ; then it is plain that De is greater than hk (tor De is to hk as the fine of DP to the fine of hP) : and fince this is the cafe everywhere, the departure correfponding-to the diftance BZ and courfe BZC, will be greater t an the departure to the diftance oZ and courfe oZC. And in the fame manner, we prove that nB is great¬ er than mo; and confequently, the departure corre¬ fponding to the diftance AB, and courfe ABL, is greater than the departure to the diftance Ao, and courfe AoL. Wherefore, the fam of the turn depar¬ tures correiponding to the courfes ABL and BZC, and to the diftances AB and BZ, is greater than the departure correfoonding to the diftance AZ and courfe AZC : therefore the courfe anfwering to this fum as a departure, and CZ as a difference or latitude, (AC being the parallel of latitudes palling through A), will be greater than the true courfe AZC made good upon the whole. And hence the difference of longitude found by the common rules will be greater then the true difference of longitudes ; and the error will be greater or lefs according as BA deviates more Or lefs from the direition of BZ. Y 3. Of determining the drip’s longitude by lunar ob¬ fervations. Several rules for this purpofe have been lately pub- lifhed, the principal objedl of vrhLh feems to have been TO (a) Ago B fignifies the difference between A and B. LON Longitude., to abbreviate the computations requifits for determin- the true diftance of the fun or ftar from the moon’s centre. This, however, fhould have certainly been lefs attended to than the inveftigation of a folution, in which confiderable errors in the data may produce a fmall error in the required diftance. When either of the luminaries has a fmall elevation, its altitude will be affeded by the variablenefs of the atmofphere; likewife the altitude, as given by the quadrant, will be affeded by the inaccuracy of the inftrument, and the uncertainty neceffarily attending all obfervations made at fea. The fum of thefe errors, when they all tend the fame way, may be fuppofed to amount to at lead: one minute rt altitude j which, in many cafes, ac¬ cording to the common rules for computing the true diftance, will produce an error of about 30 minutes in the longitude. Thus, in the example given by Monf. Callet, in the Tables Fortatives, if we fuppofe an error of one minute in the fun’s altitude, or call it 6° 26' 34", inftead of 6° 27' 34"; we fhall find the alteration in diftance according to his rule to be 54", producing an €rror of about 27 minutes in the longitude \ for the angle at the fun will be found, in the fpherical triangle whofe fides are the complement of the fun’s altitude, complement of the rUoon’s altitude, and obferved di- llance, to be about 26° ; and as radius is to the cofine of 26°, fo is 16 the fuppofed error in altitude, to 54" the alteration in diftance. Perhaps the only method of de¬ termining the diftance, fo as not to be affedled by the errors of altitude, is that by firft finding the angles at the fun and moon, and by the help of them the correc¬ tions of diftance for parallax and refradlion. The rule is as follows : Add together the complement of the moon’s appa¬ rent altitude, the complement of the fun’s apparent al¬ titude, and the apparent diftance of centres 5 from half the fum of thefe fubftradl the complement of the fun’s altitude, and add togecher the logarithmic cofecant of the complement of the moon’s altitude, the loga¬ rithmic cofecant of the apparent diftance of centres, the logarithmic fine of the half fum, and the logarith¬ mic fine of the remainder ; and half the fum of thefe four logarithms, after rejecting 20 from the index, [ 230- ] LON is the logarithmic cofine of half the angle at the Longitude, moon. —j As radius is to the cofine of the angle at the moon ; fo is the difference between the moon’s parallax and refradtion in altitude to a corredlion of diftance; which is to be added to the apparent diftance of centres when the angle at the moon is obtufe; but to be fubtradfed when that angle is acute, in order to have the diftance once corrected. In the above formula, if the word fun be changed for moon, and vice verfa, wherever thefe terms occur, we fhall find a fecond corredtion of diftance to be applied to the diftance, once corredted by fubtradtion when the angle at the fun is obtufe, but by addition wdien that angle is acute, and the remainder or fum is the true di- ftance nearly. In applying this rule, it will be fufficient to ufe the complement, altitude, and apparent diftances of cen¬ tres, true to the neareft minute only, as a fmall errof in the angles at the fun and moon will very little affedfc the corredtions of diftances. If D be the computed diftance in feconds, d the difference between the moon’s parallax and refradfion in altitude, S the fine of the angle at the moon, and Xl6fCSI>»V TfloXlli^OV. AAAse to jStsy TeXuov ttoXvxhcos Trotepoio Xupii ifteti 'btiTrovd' xreg riv ttoIz ISa.'ry.oi; ixyleci, !Eoi to yegxc ttoXv yu^ov, iyt>> oXiyov rs iXov re Epyof niyMv tTTi wix;, MW KSKctpa Iliad, lib. i. And, AXXo ^8 TOt (TV iVl fiaXXiO Xi^rt y.iv ovTt tywyi ftxyrieoy.xt, unxet xov^s. OuTl cot, ov]i tu ooXXw, iirn (A ottpiXiirQi yi 5oyjsi. Tuv ci’aXXav, a /not i were condemned as infamous. The heroes of Oflian appear in no inflance as favages. How they came to be. polifhed and refined before they were ac¬ quainted with agriculture and the mod ufeful arts of life, it is not our bufinefs to inquire y but fince they unqueflionably were fo, their treatment of the female lex, inflead of oppofing, confirms our theory j for we never conceived rich clothes, fuperb houfes, highly- drefled food, or even the knowledge of foreign tongues to be neceflary to the acquifition of a generous fenti- ment. Luxury indeed appears to be as inimical to love Vol. XII. Part I. t 241 ] I. 0 V as barbariim : and we believe, that in modern nations, Love, the tender and exalted affeftion vvhich deferves that —“”"V“ name is as little known among the highefl orders of life as among the lowed. Perhaps the Caledonian ladies °f Oflian refembled in their manners the German ladies of Tacitus, who accompanied their hufbands to the chafe,, fought by their fides in battle, and partook with them of every danger. If fo, they could not fail to be refpefted by a race of heroes among whom cou¬ rage took place of all other virtues: and this Angle circumdance, from whatever caufe it might proceed will fufficiently account for the eflimation of the female charafter among the ancient Germans and Caledoni¬ ans, fo different from that in which it has been held in almofl every other barbarous nation. But if. among favages and the vulgar, love be un¬ known, it cannot poffibly be an inflinftive affeftion : and therefore it may be alked, How it gets poffeflion of the human heart; and by what means we can judge- whether in any particular inflance it be real or imagi¬ nary ? Ihefe queflions are of importance, and deferve to. be fully anfwered 5 though many circumdances con- fpire to render it no eafy talk to give to them fuch an- fwers as lhall be perfeftly fatisfaftory. Love can fub- fift only between individuals of the different fexes, A man can hardly love two women at the fame time j and we believe that a woman is Hill lefs capable of lov* ing at once more than one man. Love, therefore, has a natural tendency to make men and women pair, or, in other wrards, it is the fource of marriage : but in polifhed fociety, wfliere alone this affeftion has any place, fo many things befides mutual attachment are neceffary to make the married life comfortable, that we rarely fee young perfons uniting from the impulfe of love, and have therefore but few opportunities of tracing the rife, progrefs, and confequences of the af- feftion. We (hall, however, throw together fuch re¬ flections as have occurred to us on the fubjeft, not without indulging a hope, that they may be ufeful to the younger part of our readers when forming the mod important connexion in life. We have faid, that the perception of beauty, com¬ bined with animal defire, is the firfi inducement which a man can have to prefer one woman to another. It may be added, that elegance of figure, a placid maf- culine countenance, with a perfon which indicates ftrength and agility, are the qualities which firfl tend to attach any woman to a particular man. Beauty has been defined*, “That particular form, which is * % Vert the mod common of all particular forms to be met [Buffier in with in the fame fpecies of beings.” Let us apply am) this, definition to our own fpecies, and try, by means Sir Jothua of it, to afeertain what conftitutes the beauty of the Reynolds human face. It is evident, that of countenances we'n the find a number almofl infinite of different forms, oiIdler' which forms one only conflitutes beauty, whilfl^he red, however numerous, conflitute what is not beauty, but deformity or uglinefs. To an attentive obferver’ however, it is evident, that of the numerous particular forms of uglinefs, there is not one which includes fo many faces as are formed after that particular cad which, conditutes beauty. Every particular fpecies of the animal as wrell as of the vegetable creation, may be faid to have a fixed or determinate form, to w hich, as to a centre, nature is continually inclining. Or it may H h Jag L O V [ 242 ] L O V Love. * Sketches c(f Man. be compared to pendulums vibrating in different di¬ rections over one central point •, and as they all crofs the centre, though only one paffes through any other point ; fo it will be found that perfeB beauty is oftener produced by nature than deformity : we do not mean than deformity in general, but than any one bind and degree of deformity. To inftance in a particular part of a human feature : the line which forms the ridge of the nofe is deemed beautiful wrhen it is Jlraight; but this is likewife the central form, which is oftener found than any one particular degree of concave, convex, or any other irregular form that fhall be propofed. As we are then more accuftomed to beauty than deformity, we may conclude that to be the reafon why we approve and admire it, juft as we approve and admire fafhions of drefs for no other reafon than that we are ufed to them. The fame thing may be faid of colour as of form : it is cuftom alone which determines our prefer¬ ence of the colour of the Europeans to that of the Ethio¬ pians, and which makes them prefer their own colour to ours; fo that though habit and cuftom cannot be the eaufe of beauty (fee Beauty), they are certainly the caufe of our liking it. That we do Wee it cannot be denied. Every one is •eonfcious of a pleafmg emotion when contemplating beauty either in man or woman ; and when that plea- fure is combined with the gratification of the fenfual appetite, it is obvious that the fum of enjoyment muft be greatly inCreafed. The perception of beauty, therefore, neceffarily direfts the energy of the fenfual appetite to a particular objeft ; but ftill this combina¬ tion is a mere felfifli feeling, which regards its objedl only as the bejl of many Jimilar inftruments of pleafure. Before it can deferve the name of love, it muft be com¬ bined with efteem, which is never beftowed but upon moral chara&er and internal worth ; for let a rvoman be ever fo beautiful, and of courfe ever fo defirable as an inftrument of fenfual gratification, if ftie be not poffeffed of the virtues and difpofitions which are pe¬ culiar to her fex, (he will infpire no man with a gene¬ rous affe&ion. With regard to the outlines, indeed, whether of internal difpofition or of external form, men and women are the fame ; but nature, intending them for mates, has given them difpofitions, which though concordant, are, however, different, fo as to produce together delicious harmony. “ The man, more robuft, is fitted for fevere labour, and for field exercifes; the woman, more delicate, is fitted for fe- dentary occupations, and particularly for nurfing chil¬ dren. The man, bold and vigorous, is qualified for being a prote&or * ; the woman, delicate and timid, requires proteftion. Hence it is, that a man never admires a woman for poffefling bodily ftrength or per- fonal courage ; and women always defpife men who are totally deftitute of thefe qualities. The man, as a protec¬ tor, is direfted by nature to govern; the woman, confci- ous of inferiority, is difpofed to obey. Their intelleftual powers correfpond to the deftination of nature. Men have penetration and folid judgement to fit them for governing; w’omen have fufficient underftanding to make a decent figure under good government: a great¬ er proportion would excite dangerous rivalftiip between the fexes, which nature has avoided by giving them different talents. Women have more imagination and fenfibility ^han men, which n^ahe all their enjoyment* more exquifite; at the fame time that they are better qualified to communicate enjoyment. Add another capital difference of difpofition : the gentle and infi- nuating manners of the female fex tend to foften the roughnefs of the other fex ; and wdierever women are indulged with any freedom, they poliih fooner than Love. men. “ Thefe are not the only particulars that diftinguilh the fexes. With refpedl to the ultimate end of love,, it is the privilege of the male, as fuperior and protec¬ tor, to make a choice : the female, preferred, has no privilege but barely to confent or to refufe. Whether this diftinftion be the immediate refult of the original¬ ly different difpofitions of the fexes, or only the effett of affociations inevitably formed, may be queftioned ; but among all nations it is the pradfice for men to court, and for women to be courted : and were the moft beautiful woman on earth to invert this practice, ftie would forfeit the efteem, however by her external grace ftie might excite the defire, of the man whom ftie addreffed. The great moral virtues which may be comprehended under the general term integrity, are all abfolutely neceffary to make either men or women eftimable; but to procure efteem to the female charac¬ ter, the modefty peculiar to their fex is a very effential circumftance. Nature hath provided them with it as a defence againft the artful felicitations of the other 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 pofleffed of a large (hare of fenfibility and modefty, and whofe manners are foft and infinuating, muft, upon moral principles (fee Moral Philosophy), command the efteem and benevolence of every individual of the other fex who is poffefl'ed of found underftanding; but if her perfon be deformed, or not luch as to excite fome degree of animal defire, ftie will attradl no man’s love* In like manner, a man whofe moral charadter is good, whofe underftanding is acute, and whofe converfation is inflrudlive, muft command the efteem of every fen- fible and virtuous woman ; but if his figure be dif- agreeable, his manner unpoliftied, his habits flovenly, and above all, if he be deficient in perfonal courage, he will hardly excite defire in the female bread. It is only rvhen the qualities which command efteem are, in the fame perfon, united •with thofe which excite de¬ fire, that the individual fo accompliftied can be an ob- jeft 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 his miftrefs gives her, in his apprehenfion, a greater fnare of gentlenefs, modefty, and every thing which adorns the female charadler, than perhaps ftie really pof- feffes; whilft his perfuafion of her internal worth makes him, on the other hand, apprehend her beauty to be ab¬ folutely unrivalled. To this theory an objedlion 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 eftimate of each other’s moral character : How is thi* circumftance to be reconciled with the progreflive ge¬ neration of love ? We anfwer, By an affociation of ideas which is formed upon principles of phyfiogno- my. Love. * Sketches if Man. L O V [ mv. Every paflion and habitual difpofition of mind gives a particular caft to the countenance, 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 chara&er 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, betore we have heard them fpeak a word, or know fo much as their names or defignationS. 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, (he inftantly commands oxxxejleem; and if ftre have likewife fo much beauty as to make her an objefl of particular defire, efteem and defire become fuddenly combined $ and that combination conftitutes 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; lo that, in the prefent inftance, defire makes us imagine virtues in the woman which her countenance perhaps does not indicate ; and the virtues w’hich are there ac¬ tually vifible, make us apprehend her beauty as more perfedl than it is. The affedftion 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 poffeflion * prevails over our efteem of the perfon and merits of the defirable objett, love lofes its benevolent chara&er : the appe¬ tite 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 affe&ion; it becomes a felfiih, painful paflion, 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 charafter 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 gra¬ tification of fenfe ; at the fame time that, fo far from being fucceeded by difguft or averfion, it increafes his benevolence to the woman, whofe chara&er and man¬ ners he efteems, and who has contributed fo much to his pleafure. Benevolence to an individual, having a general end, admits of a£ts without number, and is fel- dom fully accomplifhed. Hence mutual love, which is 2+3 1 L O V 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 conllancy a plealure ; and when the days ol fenfual en¬ joyment are over, efteem and benevolence will remain in the mind, making fweet, even in old age, the focie- ty of that pair, in whom are colledled the affections of hulband, wife, lover, friend, the tendereft affections ot human nature.” From the whole of this inveftigation, we think it appears, that the affeftion between the fexes which deferves the name of love, is inseparably connected with virtue and delicacy ; that a man ot loole morals cannot be a faithful or a generous lover ; that in the breaft of him who has ranged from 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 thoufands fan¬ cy themfelves in love who know not what love is, or how it is generated in the human breaft : and there- Love. fore we beg leave to advife fuch of our readers as may imagine themfelves to be in that ftate, to examine their own minds, with a view to difcover, whether, if the ob- je£ls of their love were old or ugly, they would ftill efteem them for the virtues of their chara&er, and the propriety of their manners. This is a queftion which deferves to be wrell w'eighed by the young and the amorous, who, in forming the matrimonial connexion, are too often blindly impelled by the mere animal defire inflamed by beauty. “ It may indeed happen f, after 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 lafting 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 fuch qualifica¬ tions Is rarely formed ; becaufe it corntnonly or rather always, happens, that fuch qualifications, the only folid foundation of an indiffoluble connexion, if they did not originally make efteem predominate over animal defire, are afterwards rendered altogether invifible by fatiety of enjoyment creating difguft.” Love, in Medicine. The fymptoms produced by this paflion as a difeafe, according to medical writers, are as follow : The eyelids often twinkle ; the eyes are hollow, and yet appear as if full with pleafure: the pulfe is not peculiar to the paflion, but the fame with that which attends folicitude and care. When the objeft of this affe&ion is thought of, particularly if the idea is fudden, the fpirits are confufed, the pulfe changes, and its force and time are very variable: in fome inftances, the perfon is fad and watchful; in others, 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 a&ive entertainments. As the force of love prevails, fighs grow deeper ; a tremor af- fe melancholy, or perhaps madnefs, if not death, con- ftitutes the fad cataftrophe. On this fubjeft the curi¬ ous may confult iEgineta, lib. iii. cap. 17. Oribat. Sy- nop. lib. viii. cap. 9. or a treatife profeffedly written on love, as it is a diftemper, by James Ferrard, Oxford, printed 1640. The manners of the Greeks and Romans were fimi- lar to each other in the affairs of love. They general¬ ly made a difcovery of their pafiion by writing upon trees, walls, doors, &c. the name- of their beloved. They ufually decked the door of their dulcinea with flowers and garlands, made libations of wine before their houfes, fprinkling the pofts with the fame liquor, as if the objeft of their affe&ion vras a real goddefs. For a man’s garland to be untied, and for a woman to com- pofe a garland, were held to be indubitable indications of their love. When their love was without fuccefs, they ufed fe- veral arts to excite affe&ion in the objeft of their de¬ fire. They had recourfe to enchantreffes, of whom the Theffalian were in the higheft eftimation. The means made ufe of were mofl comrjionly philtres or love po¬ tions, the operation of which was violent and danger¬ ous, and frequently deprived fuch as drank them of their reafon. Some of the moft remarkable ingredients of which they were compofed were : the hippomanes, the jynx, infefts bred from putrefadlion, the fifh remora, the lizard, brains of a calf, the hairs on the tip of a wolf’s tail, his fecret parts, the bones of the left fide of a toad eaten with ants, the blood of doves, bones of fnakes, feathers of fcreech-owls, twifted cords of wool in -which a perfon had hanged himfelf, rags, torches, reliques, a neft of fwallows buried and familhed in the earth, bones fnatched from hungry bitches, the marrow of a boy familhed in the midfl: 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 compofition of that infernal draught a /ove potion. But, befides the philtres, various other arts were ufed to excite love, in w hich the application of certain fubftances was to have a magical influence on the per- fcn againft whom they levelled their Ikill. A hyaena’s udder worn under the left arm, they fancied would draw the affeSions of whatever woman they fixed their eyes upon. That fpecies qf olives called ■xflvgx, and barley-bran made up into a pafle, and thrown into the fire, they thought would excite the flame of love. Flour was ufed with the fame intention. Burning lau¬ rel, and melted wax, were fuppofed to have the like effe£l. When one heart was to be hardened, and ano¬ ther mollified, clay and wax were expofed to the fame fire together. Images of wax were frequently ufed, re- prefenting the perfons on whom they wiflied to make an impreflion } and whatever was done to the fubftitute of wax, they imagined was felt by the perfon repre- fented. Enchanted medicaments were often fprinkled on (ome part of the houfe where the perfon refided. Love pledges were fuppofed to be of fingular ufe and efficacy : thefe they placed under their threihold, to preferve the affe&ions of the owner from wandering. Love knots were of fingular pewter, and the number three v as particularly obftrved in all they did. But no good effect was expe&ed, if the ufe of thefe things was not attended with charms or magical verfes and Love-apple, forms of words. Spe Magic. II Having mentioned their arts of exciting love, it may not be amifs to take notice, that the ancients -C*8- ' .< gined, that love excited by magic may be allayed by misre powerful fpells and medicaments, or by applying to demons more powerful than thofe who had been concerned in raifing that paffion. But love infpired without magic had no cure ; Apollo himfelf could find no remedy, but cried out Hei mihi quod nullis amor eft medicabilis herbis. The antidotes againft love were generally agnus cqftus, which has the power of weakening the generative facul¬ ty ; fprinkling the duft in which a mule had rolled her- felf 5 tying toads in the hide of a beaft newly fiain 5 ap¬ plying amulets of minerals or herbs, which were fup¬ pofed of great efficacy in other cafes ; and invoking the affiftance of the inferior 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, Botany Index. LOVENTINUM, or Luentinum, in Ancient Geo¬ graphy, a town of the Demeta in Britain, near the mouth of the Tuerobis or Tivy. Suppofed to have been afterwards fwallowed up by an earthquake, and to have flood where is now the lake called Llin Savatan in Brecknockftiire. LOUGHBOROUGH, a town of Leicefterfhire in England, no miles from London. It is the fecond town in the county, and was in the Saxons time a royal village. Its market is on Thurfday *, and its fairs are on April 25th, May 28th, Auguft ift, and Novem¬ ber 2d. It has a large church, and a free fchool •, be¬ fides a charity fchool for 80 boys, and another for 20 girls. It has been very much reduced by fires *, but is ftill a very agreeable town, with rich meadow-ground, on the foffe, which runs here almoft parallel with the river Soar. The new canal has made the coal trade here very extenfive. LOUGHBRICKLAND, a town of Ireland, fitu- ated in the county of Down, and province of Ulfter, 58 miles from Dublin. The name fignifies the lake of the fpefttled trout; and it was fo called from a lake near it, which abounds with thofe fiffi. It confifts of one broad ftreet, at the end of which is the parifti church, faid to have been built by Dr Taylor when bifliop of Dromore, foon after the Reftoration. The linen manu- fadlure is carried on here very extenfively j and the town is a great thoroughfare, the turnpike road from Dublin to Belfaft paffing near it. LOUGH-DERG, anciently Derg-abhan, i. e. “ the river of the woody morafs,” from a river which iffues out of this lake. This lough is fituated in the county of Donegal and province of Ulfter in Ireland, and is famous for having in it the ifland that contains St Patrick’s purgatory, which is a narrow' little cell, hewn out of the folid rock, in which a man could fcarce ftand upright. There is alfo a lake of this name fituated between the counties of Galway and Tipperary. LOUGH-NEAGH, a loch or lake of Ireland, fi¬ tuated in the counties of Armagh, Down, Derry, and Antrim, and province of Ulfter. It is the largeft in Europe, AVl’ARATV S LUNGS Plate CCXCVlll C^z/3. * frfit . LOU [ 245 ] LOU lough. Europe, thofe of Ladoga and Onega in Ruflia, and ^eagh. that 0f Geneva in Switzerland, excepted ; being 20 Strand ra,’es i°ng an^ tS broad. The area of this lake is computed to be 100,oco acres. It is remarkable for a healing virtue ; and likewife for petrifying wood, which is not only found in the water but in the adja¬ cent foil at a confiderable depth. On its lho«es fe- veral beautiful gems have been difcovered. Its an¬ cient name was Loch Eacha, or Loch-Neach, from loch, “ a lake,” and Neach, “ wonderful, divine, or emi¬ nent.” Its petrifying powers are not inftantaneous, as feveral of the ancients have fuppofed, but require a long feries of ages to bring them to perfection, and appear to be occalioned by a fine mud or fand, which infinuates itlelf into the pores of the wood, and which in procefs of time becomes hard like Hone. On the borders of this lake is Shane’s caftle, the elegant feat of Lord O’Neil. Dr Smyth feems to doubt whether the healing quality in this lake is not to be confined to one fide of it, called the Jifhing-banh ; and he informs us, that this virtue wTas difcovered in the reign of Charles II. in the inftance of the fon of one Mr Cunningham, w7ho had an evil which run on him in eight or ten places j and notwithftanding all applications, feemed incurable : at length he was perfectly healed, after bathing in this lough about eight days. Hence that wri¬ ter gives us another derivation of the name Loch-Neach, which (he fays) feems to him to hint at this quality ; Neafg ox Neas, in Irilh, fig^nifying a fore or ulcer,” which might not improbably be corrupted into Neagh; Hence he apprehends, this lake was remarked at a much earlier period for its healing property. As to its petrifying power, it is mentioned by Nenius, a waiter of the 9th century, who fays, “ Eft aliud ftagnum quod facit lig- na durefcere an lapides. Homines autem findunt lig- na, et poftquam formaverunt, projiciunt in ftagnum, et manent in eoufque ad caput anni, et in capite anni lapis invenitur ; et vocatur ftagnum Luch-EchachN Lough- Neach gives title of baron to the family of Sheffington. LOUGH-STRANGFORD, a lake of Ireland, fituated in the county of Down and province of Ul- fter. It takes its prefent name from a fmall port- town called Strangford, feated cn the w’eft fide of the narrow entrance into the fea. It w'as formerly known by the name of Lough-Cone or Lough-Coyne. It is a deep bay or inlet of the fea, about 17 miles long and four or five broad j it goes weft as far as Downpatrick, and north as far as Comber and New'ton, and by computation covers 25,775 acres> Ifilh plantation meafure. It abounds with excellent fifh, particularly fmelts ; and off the bar there is a periodical herring filhery in or about Auguft. The bar or entrance into this lough is about three miles below Strang- « ford. There is a long rock at the entrance in the middle of the paffage, dangerous to ftrangers on ac¬ count of the current ; yet there is a broad paffage on either fide, and deep water. The current here is very ftrong and rapid, running at the rate of fix or feven miles an hour. There are but few veffels that go higher up than Strangford. A good many veffels bound up the Channel put in here, if the wind is un¬ favourable to their paffage. The iflands in this lake are numerous; Doftor Boat enumerates them at 260. But from an a61ual furvey, made at the time Dr Smyth wrote his hiftory of that county, it appears, there are 54 iflands imall and great, known by particular names, Louis, and many others namelefs j the contents of thefe 54 Lomfiana. iflands added together amount to 954 acres and a half. The great and profitable manufaflure carried on in thefe iflands, and the flat ftony coafts furround¬ ing the lake, is the burning of fea-weed into kelp, which employs a number of hands, and has been com¬ puted to produce to the feveral proprietors a neat profit of xoool. per annum and upwards. Four of the iflands here are called Swan ijlands from the number of fwans that frequent them. LOUIS, or St Louis, Knights of, the name of a military order in France, inftituted by Louis XIV. in 1693. Their colours were of a flame colour, and pafs from left to right j the king was their grand mafter. There were in it eight great croffes, and 24 comman¬ ders ; the number of knights wTas not limited. At the time of their inftitution, the king charged his revenue wdth a fund of 900,000 livres for the penfions of the commanders and knights. Louis, Lewis, Louis d'or, or Lewidore, a French coin, firft flruck in 1640, under the reign of Louis XI11, and which has now a confiderable currency. See Money-To Zi/?. LOUISIANA, formerly a Spanifti province of N America, now belonging to the United States, is bound¬ ed on the eaft by the Miffiflippi, on the fouth by the gulf of Mexico, on the weft by Newr Mexico, and on the north by boundaries which have not been defined. It is interfered by a number of fine rivers, and the greater part of the inhabitants are faid to be Roman Catholics. They are chiefly the defcendants of the French and Canadians ; but in different fettlements of this extenfive country there are likewife to be met with the defcendants of people froni Germany, as wTell as numbers of Acadians and Americans. The population in 1785, when a cenfus was taken, amounted to more than 50,000 fouls; but different authors are of opinion that this is much below the proper eftimate, notwith¬ ftanding the population bears no proportion to the ex¬ tent of the country. According to another eftimate there are 89,970. The inhabitants have often attempt¬ ed to cultivate the fugar cane, but they found the cli¬ mate rather unfavourable to the culture of that plant. They chiefly export indigo, cotton, rice, beans, myrtle, wax, and lumber. But if the climate is unfriendly to the fugar-cane, it is faid to be favourable to the health of the people, and to the culture of fruits and garden vegetables. The total value of the exports from Loui- fiana in 1802 is faid to have amounted 102,158,000 dollars, and of the imports to about 342,000 dollars , above that fum. There are but few domeftic manufafiures of any im- - portance in Louifiana, but fuch of the inhabitants as are denominated Acadians, manufa&ure fome cotton into quilts and cottonades j and in the remote parts of the province, thofe planters who are poor, are in the habit of fpinning cloth mixed with wool for the ufe of the negroes. In the parifh of Iberville there is a ma¬ chine for fpinning cotton, and another in the Opeloufas, but neither of them very extenfive ; a confiderable ma¬ nufacture of cordage, twelve diftilleries for making taf- fia, and a fugar refinery which manufactures about 200,000 lbs. of loaf fugar annually. The trade by fea is confiderable, for in the year 1802 there entered 5 LOU r 246 ] LOU •Loutfiana. tlic river Mifliflippi 268 veflels of all defcriptions, one r v of which belonged to France, 97 to Spain, and 170 to America 5 and 265 failed from the Mifliflippi in the fame year, three of which belonged to France, 104 to Spain, and 158 to America. The coalfing trade is alfo confiderable from Penfacola, Mobille, and the creeks and rivers falling into Lake Pontchartrain, from whence (hip timber, charcoal, lime, pitch and tar, are conveyed to New Orleans, in which about 500 (loops and fchooners from eight to 50 tons are frequently em¬ ployed. A return of the militia of Louifiana was made by the baron of Carondelet to the court of Spain, which made them amount to j 0,340 men j but in this efti- tnate were included feveral companies of volunteers, negroes, and even companies of privileged horfe, or ca¬ valry. There are not kbove 930 native Indians in this vaft country, fome of whom are employed by the fettlers as boatmen on the Red river, and much elleemed for their friendlhip to the whites, for their bravery and generofity. The fortifications which have been eredfed in Louifi¬ ana fcarcely merit our attention. Fort St Louis is com¬ manded by a lieutenant-colonel, with ahandfbl of troops j Baton Rouge is extremely ill conftrudfed, and contains about 50 men; Fort Plaquemines, about 12 leagues from the fea, is an irregular work built of bricks, and badly conflrudfed, on the eaft fide of the river Miffiflip- pi, having a ditch in front of the river, and defended on the lower fide by a deep creek. It is defencelefs be¬ hind, as thofe by whom it was eredled had placed too much confidence in the fw'ampinefs of the ground, which is every day growing harder. It would be no difficult matter to take it by efcalade, for by the negli¬ gence of the people it is fall falling into ruins. The fmall redoubt called Fort Bourboti, is generally under the command of a ferjeant, with a very fmall company. Should a vtffel attempt to pafs without fending a boat on (bore, (he would be inllantly fired upon. When Louifiana was firft ceded to Spain, it preferv- ed many of the regulations peculiar to France ; but the province afterwards came to be governed by the laws of Spain, and the ordinances formed exprefsly for the colony. The governor’s court has a civil and military jurifdi&ion throughout the province. That of the lieutenant-governor has the fame extent in civil cafes only. There are two alcades, whofe jurifdidion, civil and criminal, extends through the city of New Orleans and five leagues around it, where the parties have no fuero mi/itar, or military privilege ; thofe who have can transfer their caufes to the governor. The tribunal of the alcade provincial has cognizance of criminal caufes, where offences are committed in the country, or when the criminal takes refuge there, and in other fpe- cified cafes. The ectlefiaftical tribunal has jurifdi61ion in all matters refpe£!ing the church. Tl ere are no colleges in Louifiana, and but one pub¬ lic fchool, which is at New Orleans, the mafters of which receive their falary from the king. They teach nothing but the Spaniffi language, and there are a few private fchools for the benefit of children. It is re¬ markable that not more than one-half of the inhabitants are fuppofed qualified to read and write, and of thefe it is faid that not above 200 are capable of doing it well. Louth. The clergy confiff of a biffiop, who does not refide Louifiana in the province, and whofe falary of 4000 dollars is charged on the revenue of certain biffioprics in Mexico v, and Cuba ; two canons have each a falary of 600 dol¬ lars ; and 25 curates, five for the city of New Orleans, and 20 for as many country pariihes, wrho receive about 400 dollars each. Thefe falaries, exclufive of that of the biffiop, are paid by the treafury at New Orleans, and their annual amount has been elfimated at 13,000 dollars. Inftead of paying local taxes, each inhabitant is bound to make and repair roads, bridges, and embank¬ ments through his own land. A duty of fix per cent, is payable at the cuflomhoufe, on the transfer of (hip¬ ping. It is afeertained upon the fum the buyer and feller declare to be the real confideration. As no oath is required from either, they feldom report more than half the price. Two per cent, is payable on legacies and inheritances, comirig from collaterals, and exceed¬ ing 2000 dollars ; four per cent, on legacies given to perfons who are not relatives of the teftator. A tax on civil employments, if their falaries exceed 300 dollars. A tax is levied of 40 dollars per annum for licenfes to fell liquors, and fix per cent, on all imports and ex¬ ports, which amounts to about 1 20,000 dollars, while the amount of all the other taxes does not exceed 6000 dollars. The expences of the government of Louifiana are faid to amount to 650,000 dollars, to pay which there are 400,000 dollars fent annually from Vera Cruz, in confequence of which deficiency the debt is faid at pre- fent to amount to 450,000 dollars, bearing no intereff, and depreciated 30 per cent. Soon after Louifiana was ceded to the United States, there were two focieties ellabliffied for the promotion of fcience and literature, one of them at New Orleans, and another at Natchez. The former defigns to pub- li(h a monthly magazine for the purpofe of diffufing a knowledge of the country, and to amufe the readers of it with a variety of ufeful fubje&s. The latter, which was eftabliffied in 1803, called the Miffiffippi Society for the Acquirement and Diffemination of ufe¬ ful Knowledge, confifts of near 40 members, and has correfpondents in various parts of the United States. The American government has granted it a charter of incorporation. LOUSE. See Pediculus, Entomology Index. LOUSY disease. See Medicine Index. LOUTH, a town of Lincolnfhire in England, 156 miles from London. It is a town corporate 5 and one of the handfomeft and gay eft in the county, there being in it not only frequent affemblies, concerts, &c. but even mafquerades. Here are feveral handfome houfes. From hence there is a canal to the fea at Tilney, 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. 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 2 LOU [ 247 ] LOW Louth, eaft by t]ie bay of Carlingford, which parts it from ^ouvam- , 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 Carlingford •, 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 Louthiana, has given a very ample defcription. It contains 111,180 Iriih plantation acres, 50 parifhes, five baronies, and five boroughs j and formerly returned 10 members to par¬ liament : it is about 22 miles long, and 14 broad. Louth, a towm 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 on a high hill, furrounded wdth fine gardens, and has a charming profpeft all over the country. This town contains nine market places, 14 water-mills, I 26 ftreets, 16 flone bridges, and feveral handfome palaces. The townhoufe 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 j 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 40 colleges, four of which are called Petfagogia. There is in the number alfo an Englilh college of friars- preachers, which owres its eftablilhment to the liberali¬ ties of Cardinal Philip Howard, brother to the duke of Norfolk, who, before he was railed to the purple, had been private chaplain to Queen Catherh*, con- fort to Charles II. The Iriih have likewife a femi- nary, erefted in part uuder the care of Eugenius Mat- theus, titular archbilhop of Dublin, anno 1623, which receives its appointments from the Propaganda at Rome. Befides the above, there are two convents for the Iriih, one of Recolledts and the other of Domini¬ cans, where divinity and the mathefis are taught. In the laft century the number of fcholars exceeded 4000 $ but in the year 1744 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 manufafture of woollen cloth : 400 houfes were then occupied by fubftantial clothiers, who 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 receive from the crowd and hurry on their returning from work. In 1382, thefe weavers, however, took up arms, and rebelled again!! theiy fovereign Prince Wencellaus, throwing from the windows of the town hall 17 of the aldermen and counfellors, and afterwards proceeded to lay wrafte great part of Brabant; but being befieged and reduced to great extremities, they fubmilfively im¬ plored his clemency ; which was granted after the exe¬ cution of fome of the principal ringleaders. The weavers, the chief inftigators to this revolt, were ba- nilhed, the greater part of whom took refuge in Eng¬ land 5 where they firl! introduced, or at leaft augment¬ ed very much, the woollen xnanpfadture. The town, by this circumfiance, being almoft depopulated, the Louvain univerfity was eltablilhed to fupply in fome meafure the II , lofs of the rebellious clothiers. Since that time the , 0^'^e' * manufacture gradually declined, no cloth of any ac¬ count being made there at prefent. This impolitic Hep of the duke Wenceflaus fent treafures to England, through the hands of thole exiled people : an import¬ ant leffon to governors, that they Ihould deal with great precaution refpeCling fuch ufeful members of the community. Upon the ruins of thefe looms was form¬ ed the cloth manufacture 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 leCtures in divinity, philofophy, law, and phyfic, are given, and the public aCts are made. Adjoining to the fchools is the univerfity library, wdiich altogether compofe a large pile of building. Over the door of the chief entrance we read thefe words, Sapientia cedificavit Jibi domum. The principal church is collegiate, dedicated to St Peter, which had formerly three very large towers with elevated fpires, one confiderably higher than the two collaterals; thefe were blown down in the year re¬ corded by this chronogram, oMnla CaDVnt. From the name of this church the burghers have acquired the nickname of Petermen, whofe anceHors having cloth¬ ed the back by a noble woollen manufacture, the mo¬ dern Petermen now compofe an ignoble mixture for the belly, called after them Peterman beer, a fort of whitilh muddy ale, which they notwithflanding fend in large quantities to all parts of the country, as well as to Hol¬ land, by the canals. Louvain was anciently the capital of the province, long before Bruffels had any claim to that title. It was'taken by the French in 1792, after¬ wards loft, and retaken in 1794. E. Long. 4. 40. N. Lat. 51. 12. LOUYS, or Louis, John, an engraver of con- fiderable eminence, who flourilhed about the middle of the 16th century. According to Bafan he was a native of Flanders. He learned the art of engraving from Peter Soutman, at the time that Suyderhoef Hu- died under the fame mailer; and his ufual ftyle of en^ graving bears fome refemblance to that of his mafter’s. One of his beft prints is Diana, writh her nymphs, re- pofing after the chafe ; a middling-fized plate, length- wife, from Rubens. LOW-bell, in birding, a name given to a bell, by means of which they take birds in the night, in open champaign countries, and among Hubble, in Octo¬ ber. The method is to go out about nine o’clock at night in a Hill evening, when the air is mild and the moon does not Ihine. The low-bell Ihould be of a deep and hollow found, and of fuch a fize that a man may conveniently carry it in one hand. The perfon who carries it is to make it toll all the way he goes, as nearly as may be, in that manner in which the bell on the neck of a Iheep tolls as it goes on and feeds.. There muft alfo be a box made like a large lanthorn,. about a foot fquare, and lined with tin, but with one fide open. Two or three great lights are to be fet in this; and the box is to be fixed to the perfon’s breaft, with the open fide forwards, fo that the light may be caft forward to a great diftance. It will fpread as it goes out of the box; and will diftinCtly ftiow to the per- 3 (on that carries it whatever there is iu the large fpace : LOW [ 248 ] LOW Low, of ground over which it extends, and confequently all Lower, the birds that rood: upon the ground. Two perfons mull follow him who carries the box and bell, one ©n each fide, fo as not to be within the reach of the light to (how themfelves. Each of thefe is to have a hand- net of about three or four feet fquare, faftened to a long flick or pole ; and on whichever fide any bird is feen at rood, the perfon who is neareft is to lay his net over it, and take it with as little noife as poflible. When the net is over the bird, the perfon wyho laid it is not to be in a hurry to take the bird, but muft (lay till he who carries the light is got beyond it, that the motions may not be difcovered. The blaze of the light and the noife of the bell terrify and amaze the birds in fuch a manner that they remain dill to be taken ; but the people wdio are about the work mud keep the greated quiet and dillnefs that may be. Some people are fond of going on this fcheme alone. The perfon then fixes the light box to his bread, and carries the bell in one hand and the net in the other •, the net in this cafe may be fomewhat fmaller, and the handle (horter. When more than one are out at a time, it is always proper to carry a gun *, as it is no uncommon thing to fpy a hare when on this expedition. LOW, East, a town of Cornwall in England, 231 miles from London, in the pod road from Ply¬ mouth. It is an ancient borough by prefcription, made a corporation by charter of Queen Elizabeth, confiding of nine burgeffes (one of w-hom is yearly chofen mayor), a recorder, aldermen, &c. ; and the mayor, magidrates, and freemen, who are about 68, choofe the members of parliament. This being a ma¬ nor of the duchy of Cornwall, was fettled by Ming William on Lord Somers, and is now held by the cor¬ poration at the fee-farm rent of 20s. a-year. It is feat- ed pretty commodioufiy on a creek of the fea, over which there is a large done bridge, fupported by 15 arches, which leads to Wed Low, danding between two hills. The chief benefit which the inhabitants have is in their filhery. Here is a battery of four guns and a fmall chapel. Loiv, Weft, called alfo Port Pigham, a town of Cornwall, divided from Ead Low by a done bridge of 15 arches over the river Low, from whence both towns receive their name, as the river does from the lownefs of its current between its high banks. The corporation, by charter of Queen Elizabeth, confids of 12 burgeffes, one of whom is annually chofen mayor, and, with the other burgeffes, has power to choofe a deward. Its members, whom it has fent to parliament ever fince the 6th of Edward VI. are eleft- ed by the corporation and freemen, who are about 60. There was a chapel of eafe here in the reign of Henry VIII. which was afterwards converted into a towmhall; and the towm lying in the parifh of Tal- land, the people go thither to church. There is a pretty little harbour here ; near the mouth of which is a fmall idand called St George's, which abounds with fea pies. The river here is navigable for veffels of 100 tons. LOWER, Richard, an eminent Englidi phyfician in the d ^th century, was born in Cornwall, and edu¬ cated at Wedminder fchool and Oxford. He entered on the phyfic line j and praflifed under Dr Thomas 1 Willis, whom he indru&ed in fame parts of anatomy, Lowering, efpecially when the latter was writing his Cerebri Ana- Lowth. tome. He, with Dr Willis, in 1674, difcovered the v-- medicinal waters at A(hop in Northampton (hire j which, upon their recommendation, became very much frequented. In 1666 he followed Dr Willis to Lon¬ don j pradtifed phyfic under him *, and became fellow of the Royal Society, and of the College of Phyficians. In 1669 he publifiied his TraElatus de Corde; and, af¬ ter the death of Dr Willis in 1675, he was edeemed the mod eminent phyfician in London. Upon the breaking out of the Popilh plot in 1678, fays Mr Wood in his Athence Oxonienjis, he clofed with the Whigs, fuppofing that party would carry all before them $ but, being midaken, he lod his credit and pradlice. He died in 1691. LOWERING, among diilillers, a term ufed to exprefs the debafing the drength of any fpirituous liquor, by mixing water with it. The dandard and marketable price of thefe liquors is fixed in regard to a certain drength in them called proof; this is that drength which makes them, when diaken in a phial or poured from on high into a glafs, retain a froth or crown of bubbles for fome time. In this date, fpirits confid of about half pure or totally inflammable fpirit, and half water; 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 diddled again and brought to that drength j and if it is above that drength, the proprietor ufually adds water to it to bring it down to that dandard. 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 dandard proof. Whoever has the art of doing tlfis without dedroying the bubble proof, which is eafily done by means of fome addition that gives a greater tenacity to the parts of the fpirits, will de¬ ceive all that judge by this proof alone. In this cafe, the bed w7ay to judg§ of liquors is by the eye and tongue, and efpecially by the indrument 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 bifliop of Wincheder, who made him his chaplain, gave him two livings in Hampfliire, and conferred on him a prebend in the cathedral of Wincheder. He acquired an unufual fliare of critical learning. Thus fituated in life, the labours of Mr Lowth appear to have been driflly confined within the limits of his own province, and applied folely to the peculiar duties of his func¬ tion : yet, in order that he might acquit himfelf the better in theology, he had purfued his ftudies with a more general and extenfive view. Few7 were more deeply verfed in critical learning ; there being fcarcely any ancient author, Greek or Latin, profane or eccle- fiadical, efpecially the latter, but wrhat he had read with accuracy, conflantly accompanying his reading with critical and philological remarks. Of his col- leftions in this way he was upon all occafions very communicative. Hence his notes on Clemens Alexan¬ drians, which are to be met with in Potter’s edition of that father. Hence his remarks on Jofephus, com- naunicated LOW v [ 249 ] LOW Lowth. nmnicated to Hudfon for his edition, and acknow- •—v—* ledged in the preface j as alfo thofe larger and more numerous annotations on the Ecclefiaftical Hiflorians, inferted in Reading's edition of them at Cambridge. The author of Bibliotheca Biblica was indebted ^to him for the fame kind of affiftance. Chandler, late bifhop of Durham, while engaged in his “ Defence of Chrilti- anity, from the Prophecies of the Old Teftament, a- gainft the Difcourfe of the Grounds and Realons of the Chriftian Religion,” and in his “ Vindication of the Defence, in anfwer to The Scheme of Literal Prophecy confidered,” held a conftant correfpondence with him, and confulted him upon many difficulties that occurred in the courfe of that work. The moft valuable part of his character was that which leaft ap¬ peared in the eyes of the world, the private and re¬ tired part, that of the good Chriftian and the ufeful parifh prieft. His piety, his diligence, his 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. (See the next article). Pie died in 1732, and was baried by his own orders in the churchyard at Buriton. He publiftied, 1. A Vindication of the Divine Authority and Infpiration of the Old and New Teftaments ; 2. Dire&ions for the profitable reading of the Ploly Scriptures j 3. Commentaries on the Pro¬ phets ; and other works. LoWTH, Robert, D. D. fecond fon of the preced¬ ing Dr William Lowtb, and bilhop fucceflively of St David’s, Oxford, and London, was born on the 29th of November 1710, probably at Buriton in the county of Plants. He received the rudiments of his education at Winchefter college, where his fchool ex- ercifes 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. June 8. 1737* Though his abilities muft have been known to thofe with whom he was connect¬ ed, he was not forward to appear before the world as a writer. At Oxford he continued many years improv¬ ing his talents, with little notice from the great, and with preferment fo fmall as to have at prefent efcaped the diftinCt recolleCtion of fome of his contemporaries. He was not, however, fuffered to languifh for ever in obfcurity. His genius and his learning forced them- felves upon the notice of the illuftrious fociety of which he was a member j and he was placed in a fta- tion where he was eminently qualified to ftrine. In 1741 he was eleCled by the univerfity to the profef- forlhip of poetry, re-elecled in 1743* an^ whilft he held that office he read his admirable leClures De facra poeji Hebneorum. In 1744 BHhop Hoadley collated him to the redlory of Ovington in the county of Hants *, added to it, nine years afterwards, the reftory of Eaft 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- fpeCtful terras of gratitude : “ This addrefs, My Lord, is not more neceifary on account of the fubjeCf, than it is in refpedl: of the author. Your Lordihip, unfo- liclted and unf lked, called him from one of thofe col- Vol. XII. Part I. leges to a ftation of the firft dignity in your diocefe, Lowth. and took the earlieft opportunity of accumulating your favour upon him, and of adding to that dignity a luit- 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 lo generoufty conferred on him, yet he (hall 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 diilin- guiftied merit, was probably conferred on Mr Lowth in confequence of his preledlions ©n the Plebrew poetry, which had then been lately publilhed. Having in 1749 travelled with Lord George and Lord Frederick Ca- vendifh, he had a claim upon the patronage of the Devonftiire family j and in I755> t^ie ^ate ^u^-e being then lord lieutenant of Ireland, Dr Low'th w7ent to that kingdom as his grace’s firft chaplain. Soon after this appointment he wTas offered the biftiopric of Li¬ merick j 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 wras, on the death of Dr Squire, preferred to the biftiopric of St David’s ; which, in the Odtober followung, he refigned for that of Oxford, vacant by the tranflation of Biftiop Hume to Salifbury. In April 1777, he was tranftated to the fee of Lon¬ don, vacant by the death of Biftiop Terrick ; and in 1783 he decliAed the offer of the primacy of all England. Having been long afflidled with 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. 17^7 5 and on the 12th his remains were privately interred in a vault at Fulham church, near thofe of his predecef- for. 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 charafler may be eftimated from the value and the importance of his works ; in the account of w hich we may begin with his Prele&tons on the He¬ brew Poetry. The choice of fo interefting a fubje£t naturally attracted general attention j and the work has been read with equal applaufe abroad and at home. In thefe preledfions 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 ftyle, that though we have read the work with the clofeft attention, and with no other view than to dif- cover, if poflible, an Anglicifm in the compofition, we never found a fingle phrafe to which, we believe, a critic of the Auguftan age could poffibly have ob¬ jected. This is an excellence to which neither Milton nor Johnfon has attained •, to which indeed no other Englifti writer of Latin with whom we are acquainted has attained, unlefs perhaps Atterbury muft be ex¬ cepted. To the preledlions was fubjoined a ftiort con¬ futation of Bilhop Hare’s fyftem of Hebrew metre ; which occafioned a Latin letter from Dr Edwards of I i Clare-half, LOW Clare-hall, Cambridge, to Dr Lowth, in vindication of the Harian metre. To this the author of the prele61ions replied in a larger confutation, in which Bi- fliop Hare’s fyItem is completely overthrown, and the fallacy upon which it was built accurately inveftigated. After much attentive confideration, Bilhop Lowth has pronounced the metre of the Hebrews to be perfectly ir¬ recoverable. In 17 5 8 he publithed The life of William of Wyke- ham, hijhop of Winch eft er, with a dedication to Bilhop Hoadley ; which involved him in a difpute concerning a decihon which that bilhop had lately made refpedting the wardenfhip of Winchelter college. This contro- verfy w*as on both fides carried on with fuch abilities, that, though relating to a private concern, it may yet be read, if not with pleafure, at lead; with improvement. The life of Wykeham is drawn from the moft authentic fources *, and affords much information concerning the manners, andfome of the public tranfaclions, of the period in wdiich Wykeham lived, whilft it difplays forne private intelligence refpeCing the two literary focieties of which he ryas the founder. In thefe two focieties Dr Lowth was educated, and he gratefully exprefles his obligations to them. In 1762 was fir ft publi fined his Short IntroduElion to Englijh Grammar, which has fince gone through many editions. It was originally deftgned only for private and dorneftic 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 Bilhop Warburton in a controverfy, which made much noife at the time, which attradled the notice even of royalty, and of v which the memory is ftill recent. If we do not wilh to dwell on the particulars of this eontroverfy, 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 becaufe the charaflers 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 fuch as is feldom brought into conflidl ) but it appears that, in the opinion of Dr Johnfon, Warbnrton had the moft fcholaftic learning, and that Lowth was the moft correct fcholar ; that, in their con¬ ceit with each other, neither of them had much argu¬ ment, and that both were extremely abufive. We have heard, and we hope it is true, that they were af¬ terwards reconciled, and exprelfed mutual regret for the violence of their paft condutft. In 1778 Bilhop Lowth publilhed his lart great work, Tranjlation of Ifaiah. To his literary and theological abilities, the tranllator joined the moft critical know¬ ledge ©f the chara&er and fpirit of the eaftern poetry 5 and, accordingly, the prophecies of Ifaiah (xvhich, though almoft always fublime or elegant, are yet fome¬ times obfeure) were tranllated in a manner adequate to the higheft expeftations of the public. Several ©ccafional difeourfes, which the bilhop, by his ftation, was at different times called upon to deliver, were of courfe publilhed, and are all worthy of their excellent author 3 but there is one on the kingdom of God, on the LOW extenfion and progrelTive improvement of Chiift’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 diftinguilhed above the reft, as exhibiting a moft comprehenfive view of the fucceftive ftates of the Chriftian church, and containing the trueft principles of Chriftianity. Of the bilhop’s poetical pieces, none difplay greater 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, applied to the alarming lituation of this country in 3 745 5 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 affedlion and clallic tafte. As it is (hort, and, in our opinion, has all the merit of the ancient epitaph, the reader will probably be pleafed with fuch a fpeeimen of his lordftiip’s Lati- nity. Cara, vale, ingenio prafans, pietate, pudore, Et plufquam natec nomine cara, vale. Cara Maria, vale. At veniet felicius cevum, fitando iterum tecum, fm rnodo dignus, ero. Cara, redi, Lcta turn dicam voce, paternos, Eja, age in amplexus, cara Maria, redi. Learning and tafte, however, did not conftitute Bifhop Lowth’s higheft excellence. Eulogium itfelf can fcarce- ly afeend to extravagance when fpeaking of him either as a private man or as a paftor of the church of Chrift. His amiable manners rendered him an orna¬ ment to his high ftation, whilft they endeared him to all with whom he converfed 3 and his zeal for the in- terefts of true religion made him eager to promote to places of truft and dignity fuch clergymen as he knew were beft qualified to fill them. Of his modefty, gentlenefs, and pleafing converfation, we have the tefti- mony of one whofe decifion will hardly be difputed.— “ It would anfvver no end (fays Bilhop Warburton) to tell you what I thought of the author of Hebrew 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 modeft, fenlible, and difengaged a deportment.” He united, indeed, in an eminent degree, the qualities of the gentleman with thofe of the fcholar : he converfed with elegance, as he wrote with accuracy. As a hufhand, a father, or the mafter 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- duCf was indeed fufceptible of confiderable warmth 3 but if he could be highly offended, upon a flight con- ceftion he could likewife forgive. His heart was ten¬ der and fympathetic. He poffeffed a mind which felt its own ftrength, and decided on whatever came before it with promptitude and firmnefs. In thofe trials where affliction was to be fuffei ed or fubdued, he be¬ haved as a man and a Chriftian. His piety had no tinCIure of morofenefs 3 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 bis exemplary life and his fplendid abilities. And whilft virtue and learning are reverenced [ 25° 1 L U B [ 2ci ] L U B Loxia reverenced amon^ men, the memory of Lowth will be I! relpefted and admired. ^ubec- LOXIA, a genus of birds of the order of palTeres. See Ornithology Index. LOYOLA, Ignatius. See Ignatius. LOZENGE, in Heraldry, a four-cornered figure, refembling a pane of glafs in old cafements. See He¬ raldry. Though all heralds agree, that fingle ladies are to place their arms on lozenges, yet they differ with refoeft to the caufes that gave rife to it. Piutarch fays, in the life of Thefeus, that in Megara, an ancient town of Greece, the tomb-flones, under which the bodies of the Amazons lay, were fliaped after that form ; which fome conjecture to be the caufe why ladies have their arms on lozenges. -S'. Pelra SanEla will have this fhield to reprefent a cujhion, whereupon wromen ufed to fit and fpin, or do other houfewifery. Sir J. Feme thinks it is formed 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 upper moft. Lozenges, among jewellers, are common to bril¬ liant and rofe diamonds. In brilliants, they are form¬ ed by the meeting of the fkill and {far 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.” LUEEC, a city and port-town of Germany, in the circle of Lower Saxony and duchy of Holllein, in E. Long. io. 35. N. Lat. 54. 20. It Hands at the conflux of feveral rivers, the largeft of which is the Trave, 12 miles from the Baltic, where it has a fine harbour, and 40 north-eaft of Hamburgh. By the Stec- kenitz, another of thofe rivers, it has a communica¬ tion with the Elbe, and confequently with the 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 Wakenitz on the other; and is ftrongly for¬ tified with baflions, moats, wxdls, and ramparts ; the laft 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 Hamburgh ; however, it is Hill faid to employ 150 of its own fhips, and has a great fhare of the Baltic trade. It is about two miles in length, and more than one in breadth. The houfes are all of ftone, but old fafliioned. Several of the ftreets have on each fide rows of lime trees, with canals in the middle, like thofe of Holland. The public ftruftures confift of the ancient cathedral of the bifliop- ric ol Lubec, and feveral other Lutheran churches ; a nunnery for 22 ladies, with an abbefs and priorefs; a poor-houfe, an alms-houfe, and houfe of correction ; an orphan-houfe, an hofpital dedicated to the Holy Gholt ; 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 provided with all necef- faries till they recover or die; the city armoury, a grammar fchool of feven clafl'es, the Calvinift church, and the Popifh chapel. The deputies of the Hanle- towas tued to meet here formerly in the tcwnhoufe. An alliance ftiil fubfifts between Lubec, Hamburgh, and Bremen ; and thefe cities, under the name of Hanfe towns, negotiate treaties with foreign powers. Flere are divers manufactures, and the city’s territory is about 60 miles in cempafs. In the diet of the em¬ pire Lubec is poffelfed of the third feat among the Rhe- nifli imperial cities ; and among thofe of the circle, has the firfi. In the matricula, its affelfment is 480 flo¬ rins, and to the chamber of Wetzlar it pays 557 rix- dollars and 88 kruitzers. The chy 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 again!! the dukes of Mecklenburg, but again!! the kings of Sweden and Denmark ; particu¬ larly in 1428, when it fitted out 250 fhips of force again!! Eric X. king of Denmark. There are about 20 churches in Lubec, with lofty fleeples or fpires. The Trave brings fhips of burden into the very heart of the city ; but the large!! unload at Travemunde, i. e. the mouth of the Trave,.eight or ten miles di- llant. Formerly it is faid to have employed no lefs than 600 flops. 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 biftiop, though he is a prince of the empire, is faid not to ex¬ ceed 3000I. Lubec fell into the hands of the French in 1806, when Bonaparte overran the Pruflian domi¬ nions ; and many of the inhabitants were cruelly maf- facred and plundered. LUBEN, a town 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 of¬ fices ; and has feveral churches, with a noble land- houfe and hofpital. E. Long. 14. 25. N. Lat. 52. LUBIENIETSKI, Stanislaus, a Polifli 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 his Sacinian brethren. Flis labours, however, were ineffe&ual; being himfelf peifecuted by the Lutheran minifters, and baniflied from place to place ; until at length he was baniflied out of the world, with his two daughters, by poifon, his wife narrowly efcaping, in 1675. We have of his writing A Hiftory of the Reformation in Poland ; A Treatife on Comets; with other works, in Latin. LUBIN, ElLHARD, was profeffor of poetry in the univerfity of Roftock in 1595 ; and ten years afterwards was promoted to the profelforlhip of divinity. He wrote notes on Anacreon, Juvenal, Perfius, &c. and feveral other works; but that which made the moft r» ife is a treatife on the nature and origin of evil, en- ti’led Phofphorus de Caufa pfifna et Katina Mali, printed at Roftock in 159^ ’ which we have a cu¬ rious hypothclis to account for the origin of moral evd, I i 2 Be LUC [25 Lublin IJe fuppofed two co-eternal principles, not matter and T ^ vacuum, as Epicurus did: but God, and Nihilum or 1 v— ' Nothing. This being publilhed againft by Grawer, wTas defended by Lubin ; but after all he is deemed Getter acquainted with polite literature than with divinity. He died in 1621. 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 Jewilh fynagogue. Here the judicial courts for all Poland are held. It has three fairs, frequented by merchants from all nations. It is feated on the ri¬ ver Byftrzna. E. Long. 22. 31. N. Lat. 51. 26. LUCA, in Nncicnt Geography, 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. N. Lat. 43. 45. LUCANIA, a country of Italy, and a part of Magna Graecia; bounded on the north by the river Silarus by wdiich 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 feparated it from the Bruttii j on the eaft by the Sinus Tarentinus ; and on the w7e(l by the Tufcan fea. Lt/cani, the people, defcendants of the Samnites. Laic anus the epithet, (Horace). Lucce boves denoted elephants; firfh feen in Pyrrhus’s wars in Lucania, whence the appellation (Pliny). LUCANUS, Marcus Axnjeus, a Latin poet, born at Corduba in Spain, about A. C. 39. He was the fon of Annaeus Mela, the youngeft brother of Seneca 5 and was conveyed to Roms from the place of his na¬ tivity at the age of eight months j a circumtlance, as his more indulgent critics obferve, which fufficiently refutes the cenfure of thofe who conlider his language as provincial. At Rome he was educated under the Stoic Cornutus, fo w’armly celebrated by his difciple Perlius the fatirift, who was the intimate friend of our poet. In the clofe of his education, Lucan is faid to have paffed fome time at Athens. On his return to Rome he rofe to the oflice of quseftor, before he had attained the legal age. He was afterwards enrolled among the augurs j and married a lady of noble birth, and of a moll amiable charafrer. Lucan had for fome time been admitted to familiarity with Nero, when the emperor chofe to contend for poetical honours by the public recital of a poem he had compofed on Niobe j and fome verfes of his imperial produ&ion are fup¬ pofed to be preferved in the firft fatire of Perfius. Lu¬ can had the hardinefs to repeat a poem on Orpheus, in competition with that of Nero j and, what is more remarkable, the judges of the conteil were jufi: and bold enough to decide againft the emperor. From hence Nero became the perfecutor of his fuccefsful ri¬ val, and forbade him to produce any poetry in public. The well known confpiracy of Pifo againft the tyrant loon followed ; and Tacitus, wdth his ufual farcaftic feverity, concludes that Lucan engaged in the enter- * In the Pr‘k fr°m t^le poetical injuries he had received : “ a Notes to hisreinai ^ (fays Mr Hayley*, w7ho has endeavoured to Second E- refute the imputation) which does little credit to the candour of the hiftorian j who might have found a much nobler, and, I will add, a more probable motive for his conduft in the generous ardour of his chara&er, and his paflionate adoration of freedom. In the fequel pi/lle on Epic Poe try. 2 ] LUC of his narration, Tacitus alleges a charge againft our Li poet, which, if it tvere true, muft lead us to deleft him as the mod abjeft of mankind. The hiftorian af- ferts, that Lucan, when accufed of the confpiracy, for fome time denied the charge j but corrupted at la ft by a promife of impunity, and deftrous to atone for the tardinefs of his confeflion, accufed his mother Atilla as his accomplice. This circumftance is fo improbable in itfelf, and fo little confonant to the general charaffer of Lucan, that fome writers have treated it with con¬ tempt, as a calumny invented by Nero, to vilify the object of his envious abhorrence. But the name of Tacitus has given fuch an air of authority to the ftory, that it may feem to deferve a more ferious difcuflion, particularly as there are two fubfequent events related by the fame hiftorian, which have a tendency to inva¬ lidate the accufation fo injurious to our poet. The events I mean are, the fate of Annteus, and the efcape of Atilla, the two parents of Lucan. The former died in confequence of an accufation brought againft him, after the death of his fon, by Fabius Romanus, who had been an intimate with Lucan, and forged fome let¬ ters in his name, with the defign of proving his father concerned in the confpiracy. Thefe letters were pro¬ duced to Nero, who fent them to Annaeus, from an eager deftre, fays Tacitus, to get poffeftion of his wealth. From this fa£t two inferences may be drawn, accord¬ ing to the different lights in which it may be confider- ed :—If the accufation againft Annaeus was juft, it is clear that Lucan had not betrayed his father, and he ap¬ pears the lefs likely to have endangered by his con- feftion the life of a parent, to whom he owed a ftill ten¬ derer regard :—If Annaeus was not involved in the con¬ fpiracy, and merely put to death by Nero for the fake of his treafure, we may the more readily believe, that the tyrant who murdered the father from avarice, might calumniate the fon from envy. But the efcape of A- tilla affords us the ftrongeft reafon to conclude that Lucan was perfe&ly innocent of the abjecft and unna¬ tural treachery of which Tacitus has fuppofed him guilty. Had the poet really named his mother as an accomplice, wrould the vindictive and fanguinary Nero have fpared the life of a woman whofe family he de- tefted, particularly when other females were put to death for their (hare in the confpiracy ? That Atilla was not in that number, the hiftorian himfelf informs us in the following remarkable fentence, “ Atilla mater Annaei Lucani, fine abfolutione, fine fupplicio, diffimulata j” thus tranflated by Gordon : “ The information againft Atilla, the mother of Lucan, w7as diffembled ; and, without being cleared, fhe efcaped unpunifhed.” The preceding remarks will, our author hopes, vin¬ dicate to every candid mind the honour of Lucan, whofe firmnefs and intrepidity of charafter are indeed very forcibly difplayed in that pifture of his death which Tacitus himfelf has given us. He was condemned to have his veins cut, as his uncle Seneca had before him. Lucan, “ while his blood iffued in ftreams, per¬ ceiving his feet and hands to grow cold and ftifl'en, and life to retire by little and little from the extremities, while his heart was ftill beating with vital warmth, and his faculties ftowife impaired, recolleClcd fome lines of his own, which deferibed a wounded foldier expiring in a manner that refembled this. The lines themfelves he rehearfed ^ and they were the laft words he LUC [2 Lueanus. he ever uttered.” The critics differ concerning the verfes of the Pharfalia which the author quoted in fo memorable a manner. The two paffages he is fuppof- ed to have repeated are the following ; of which Lip- fius contends for the latter. Sanguis erant lachrymae: qux’cunqueforamina nova Humor, ab his largus manat cruor: ora redundant, Et patulse nares : fudor rubet: omnia plenis PTembra Huunt venis : totum eft pro vulnere corpus. • l^ib. ix. v. 814. Now the warm blood at once, from every part Ran purple poifon down, and drain’d the fainting heart. Blood falls for tears; and o’er his mournful face The ruddy drops their tainted paffage trace. Where’er the liquid juices find a -way, There ftreams of blood, there crimfon rivers ftray, His mouth and gufhing noftrils pour a flood, And e’en the pores ooze out the trickling blood 5 In the red deluge all the parts lie drown’d, And the wdiole body feems one bleeding wound. Rowe. Scinditur avulfus; nec ficut vulnere fanguis Emicuit lentus; ruptis cadit undique venis, Difcurfufque animae, diverfa in membra meantis, Interceptus aquis. Lib. Hi. v. 638. No fingle wound the gaping rupture feems, Where trickling crimfon wells in llender ftreams j But, from an op’ning horrible and wide, A thoufand veffels pour the burfting tide : (A) ; At tu, feu rapidum poli per axem Eamte curribus arduis levatus, Qua furgunt animae potentiores, Terras defpicis et fepulchra rides: Seu pacis meritum nemus reclufte Felix Elyfiis tenes in oris, Quo Pharfalica turba congregatur ; Et te nobile carmen infonantem Pompeii comitantur et Catones : Tu magna facer et fuperbus umbra* Nefcis Tartaron, et procul nocentum Audis verbera, pallidumque vifa Matris lampade refpicis Neronem. Adfis lucidus; et vocante Polla Unam, quaefo, diem decs filentum Exores 5 folet hoc patere limen Ad nuptas redeuntibus maritis. Heec te non thiafis procax dolofis Falii numinis induit figuras; Ipfum fed colit, et frequentat ipfum Imis altips infitum medullis j Ac folatia vana fubminiftrat V ultus, qui fimili notatus, auro Stratis pnenitet, excubatque fomno Securse. Procul hinc abite mortesj Haec vitae genitalis eft origo j Cedat lutftus atrox, genifque manent Jam dulces lachrymae, dolorque feftus Quicquid fleverat ante nunc adoret. But you, O ! whether to the Ikies On Fame’s triumphant car you rife, Sl LUC At once the winding channel’s courfe was broke, Lucanus. Where wand’ring life her mazy journey took j \r*" At once the currents all forgot their way, And loft their purple in the azure fea. Rowe. Such was the death of Lucan before he had completed his 27th year.—_His wife, Polla Argentaria, is faid to have tranfcribed and corredfted the three firft books of the Pharfalia after his death. It is much to be re¬ gretted (Mr Hay ley obferves) that we pollefs not the poem which he wrote on the merits of this amiable and accomplifhed woman •, but her name is immorta¬ lized by two furviving poets of that age. The vene¬ ration which ftie paid to the memory of her hufband is recorded by Martial j and more poetically deferibed in that pleaftng and elegant little produttion of Statius, Genethliacon Lucam, a poem faid to have been written at the requeft of Argentaria. The author, after in¬ voking the poetical deities to attend the ceremony, touches with great delicacy and fpirit on the compo- fitions of Lucan’s childhood, which are loft, and the Pharfalia, the produftion of his early youth : he then pays a fhort compliment to the beauty and talents of Argentaria ; laments the cruel fate which deprived her fo immaturely of domeftic happinefs; and concludes with an addrefs to the (hade of Lucan, which, with Mr Hayley’s tranflation, we (hall fubjoin in a Note, as it feems to furnifh a ftrong prefumption of Lucan’s innocence in regard to 'one of the accufations mention¬ ed above (a). “ Had he been really guilty of bafely endangtring (Where mightier fouls new life aflume) And mock the confines of the tomb ^ Or whether in Elyfium bleft You grace the groves 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 with anguhh and affright, His mother flaftiing on his fight. Be prefent to your Polla’s vows, While to your honour’d name fhe bows ! One day let your entreaties gain From thofe who rule the Ihadowy train ! Their gates have op’d to blefs a wife, And given a hulband back to life. In you the tender fair invites No fancied god with frantic rites : You are the object of her prayers, You in her inmoft heart {he 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 date : Let mourning change the pang fevere. I o fond devotion’s grateful tear ! And feftal grief, its anguifli o’er, What it lamented, now adore.! LUC [ 254 ] LUC Taucamis endangering the life of hh mother (fays Mr Hayley), ii . it is not probable that his wife would have honoured llcAua' , his memory with fuch enthufiaftic veneration ; or that Statius, in verfes defigned to do him honour, would have alluded to the mother of Nero. If his chara&er as a man has been injured by the hiftorian (continues Mr Hayley), his poetical reputation has been treated not lefs injurioufly by the critics. Quintilian, by a frivolous diftindlion, difputes his title to be claffed among the poets ; and Scaliger fays, with a brutality of language difgraceful only to himfelf, that he feems rather to barh than to Jing. But thefe infults may ap¬ pear amply compenfated, when we remember, that in the moil poliihed nations of modern Europe, the molt elevated and poetic fpirits have been his warmed: ad¬ mirers •, that in France he was idolized by Corneille, and in England tranflated by Rowe.—The fevered cenfures on Lucan have proceeded from thofe who have unfairly compared his language to that of Virgil : 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 polifhed marble. How differently ftiould 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 diftion, he is undoubtedly far inferior to Virgil 5 but if we attend to the bold originality of his defign, and to the vigour of his fen- timents; if we cOnfrder the Pharfalia as the rapid and uncorre&ed Iketch of a young poet, executed in an age when the fpirit of his countrymen was broken, and their tafle in literature corrupted ; it may "juftly be efteemed as one of the moft noble and moft wonderful productions of the human mind.”—Lucan wrote feve- ral poems j but we have none remaining beftde his Pharfalia, of which an excellent Englifti verfion has been given by Mr Nicholas Rowe. Lucanus, the Stag-Beetle, a genus of infeCts of the order of coleoptera. See Entomology Index. LUCAR DE Barameda (St), a handfome and confiderable town of Spain, with a very good harbour, » well defended, in Andalufia. It was once the greateft port in Spain, before the galleons unloaded their trea- fure at Cadiz. It is feated at the mouth of the river Guadalquiver. W. Long. 6. 5. N. Lat. 36. 40. Lvcar dc 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. r , . Lvcar la Major (St), a fmall town of Spam, 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 rSth of July, in memory of the flight of the Romans into a great wood, where they found an afylum, and faved themfelves from deftruClion. This wood, in ■ which they found proteClion, was fituated between the Tyber and the Via Solaria. The enemies from whom the Romans fled were the Gauls.— On this feftival, Plutarch tells us, it was cuftcmary to pay the adders, •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 lucar and lucana are derived from lucus, a grove. LUCAS Jacobs, an eminent artift, more gene¬ rally known by the name of Lucas van Lrydew, or Hugenfe, was born at Leyden in 1494. He received his firft inftruclions 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 profeftion } 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 effedd, and put an end to his life, after fix years languifhing 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, w7ere fo excellent as to excite the admiration of all cotemporary artifts j and when he w'as about 15, he painted a St Hubert, wEich gained him great applaufe. His tone of colour¬ ing (Mr Pilkington obferves) is good j his attitudes (making a reafonable allowance for the ftiff German tafte) are wTell chofen j his figures have a confiderable expreffion in their faces, and his piddures are very highly finifhed. He endeavoured to proportion the ftrength of his colouring to the different degrees of diftance in which his objefts 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 piddure of Lucas, the fubjeft of which is the Laft Judgement, is preferved wfith great care •, the magi- ftrates having refilled very large fums which have been offered for it. This artift painted not only in oil, but alfo in dif- temper and upon glgfs. Nor w-as he lefs eminent for his engraving than for his painting. He carried on a familiar and friendly correfpondence with Albert Du- rer, who w7as his cotemporary ; and, it is faid, that as regularly as Albert Durer publilhed one print, Lu¬ cas publilhed another, without the leaft jealoufy on either fide, or wilh to depreciate each other’s merit. And wrhen Albert came into Holland upon his travels, he w^as 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 Ifrael van Mechlen. His prints are very neat and dear, but without any powerful effed. The ftrokes are as fine and delicate upon the Lucas. objeds in the front, as upon thofe in the diftances; and this want of variety, joined with the feeblenefs of the maffes of ftiadow, give his engravings, with all their neatnefs, an unfinifhed appearance, much unlike the firm fubftantial effed which we find in the works of Albert Durer. He was attentive to the minutiae of his art. Every thing is carefully made out in his prints, and no part of them is negleded. He gave great charader and expreffion to the heads of his figures j but on examination of his works, we find the fame heads 1 LUC [2 Lucas, heads too often repeated. The hands and feet are v rather mannered than corredl; and when he attempted to draw the naked figure, he fucceeded but very indif¬ ferently. He affected to make the folds of his dra¬ peries long and Howing ; but his female figures are frequently fo exceffxvelyffoaded 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 t *3 former are by no means numerous. They are, however, very fpirited 5 though not equa?, upon the whole, to thole of his friend Albert. The prints of this mafter are pretty numerous, but very feldom met with complete ; efpecially fine impreflions 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, r. Mahomet Jlcefnng, with a bnej} murdered by his fide, and another figureJleahng hisfiivord, a middling-fized upright plate, dated ijo8, laid 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. I he wife men's offering, the fame, dated 1513. 5. Return of the prodigal fan, a mid¬ dling (ized plate, lengthwife, dated 1518. 6. A large print lengthwife, called the dance of Magdalen, aated 15/9. 7. His own portrait, a finall upright plate, dated 1525. 8. David playing before Saul, a middling-fized upright plate, datedf . This is a very fine print ; the exprefiion of Saul’s countenance, in particular, is admirable. 9, A print known by the name of Ulefipiegle, which is the fcarceft of all the works of this mafter. It is in the colledtion of the king of France j and faid by Marolles, and other mailers, 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 colledfions. It reprefents a travelling bagpiper with his family ; himfelf playing as he goes along, and carrying two cnildren in a balket at his back j 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 balkets, having two children in each ; and another child going before, with a little dog, completes the lingular groupe. This rare print is dated 1520, and is knovvn to have been fold for 16 louis d’ors. It is nearly 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 miftaken for it. Lucas, Richard, D. D. a learned Englifh divine, was born in 1648, and ftudied at Oxford j after which he entered into holy orders, and was for fome time mafter of the free fohool at Abergavenny. Being ef- teemed an excellent preacher, he became vicar of St Stephen s, Coleman ftreet, in London, and lecturer of St Olave s in Southwark. He was doctor of divinity 5 aud in 1696 was inftalled prebendary of Weftminfter ; His fight.began to fail him in his youth j and he total¬ ly loft it in his middle age. He was greatly efteemed for his piety and learning; and publilhed feveral works, particularly, 1. Praftical Chriftianity. 2. An Inquiry after Happinefs. 3. Several fermons. 4. A Latin 55 ] LU G tranftation of the Whole Duty of Man. He died in Lue.a I! Lo CCA, a fmall republic of Italy on the coaft of ' tne Mediterranean, between the territory of Genoa on the weft, Modena on the north, and Tufcany on tne 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 is computed at 120,000. I he government is lodged in a gonfalonier, whole power is much the fame with that of the dooes oi Venice and Genoa. He is afiifted by nine coun- follors: but the power of all the ten continues only for two months: during which time they live in the ilate- palace, and at the public expence. I hey are chofon out of the great council, which conftfts of’240 nobles; but even this council is changed by a new eledlion every two years. The revenues of the republic are about 400,000 foudi or crowns ; out of which thev maintain 500 men by way of regular force, and 70 Swils as a.guard to their afting magiftrates. The city of Lucca is fituated in a plain, terminating in moft de¬ lightful^ eminences, adorned with villas, fummer-houfes, corn-fields, and plantations of every kind ; fo that no- thing either for ufe or for pleafure is here wanting. The city, which is about three Italian miles in circumfe- lence, has regular well-lined fortifications ; and its ftreets though irregular, are wide, well paved, and full of handfome houfes. The number of its inhabitants is computed to be above 40,000 ; and they carry on large manufactures, efpecially of filk Huffs. Lucca has a bi- fliop, who enjoys feveral extraordinary privileges; and its cathedral is Gothic. The city ftands in E. Long. 11. 27. N. Lat. 43. 52. LUCEN 11, Lucentia, or Lucentum, a town of the Hither Spain, now Alicant, a fea-port of Va¬ lencia. W. Long. 32'. Lat. 38°. 37k LUCERES, in Roman antiquity, the third in order of txie three tribes into which Romulus divided the people; including all foreigners: fo called from the lucus or grove, where Romulus opened an afylum. . LUCERIA, in Ancient Geography, a town of Apu¬ lia in .Italy ; which in Strabo’s time ftill exhibited marks of Diomed’s fovereignty in thofe parts. Ptolemy has iSuceria; whether from miftake, or the cuftom of his time, uncertain. Now Nocera de Pagani, in the kingdom of Naples. E. Long. 15. o. N. Lat. 40. 40. . LUCERIUS, in Mythology, a name given to Ju¬ piter, as Luceria was given to Juno, as the deities which gave light to the world. LUCERNE, one of the 13 cantons of Swiffer- land. It holds the third place among the 13 ; and is the head of the Catholic cantons. Though lefs than Zurich, and confequently much lefs than Berne, it is however, far more e.xtenfive 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 tvood and pafture, furniihing cattle, hides, cheefe, and butter, for.exportation. All the north part is fertile in grain, fruit, and hay ; fupplying fufficient for the confump- tion of the inhabitants; but as the mountaineers of tne little cantons come to their mapket for corn, the people of Lucerne purchafe this commodity from other parts of Swifierland, but efpecially from Alface and Suabig», L U G [2 Lucerne, Suabia. Their manufadures are very iuconfiderable ; T'" v " ' confifting only in a little lilk and cotton thread.—The government is oligarchical. The councils are chofen from among joo citizens only. The great council of 64 members is the nominal fovereign; but in fa£t the power r&mes in the fenate, or little council of 36, having for their chiefs the two avoyers.—The whole canton profeifes the Roman Catholic religion. The pope’s nuncio, with the title of legate a latere, ufually refides at Lucerne.—They threw off the Auftrian 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 1386 to refill all the efforts of the enemy at the bloody battle of Sempach. The town of Lucerne is fituated at the extremity of a moll beautiful lake of the fame name, where the river Reufs iffues from it. The buildings are ancient, and the llreets narrow ; nor is Lucerne populous in proportion to its extent, the inhabitants being only between 3000 and 4000. Since this is the great palfage to Italy by Mount St Gothard, and the merchandife which palfes 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 manufadfures were attended to. The Reufs feparates the town into two unequal parts, w-hich are connedled by three bridges : one wide for carriages j and two narrow covered ones for foot paffengers : be- fxdes thefe, there is a fourth over an arm of the lake, to pafs to the cathedral. Three of thefe bridges have old bad paintings of the Dance of Death, and the Hi- llory 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 j 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 furnilhed. The water tower is remark¬ able only for its pofition and antiquity ; it is faid to have been a pharos or lighthoufe. What greatly attradls the notice of mod llrangers is, a plan in relief of part of the cantons of Lucerne, Zug, and Berne, and the whole of Schw'eitz, Uri, and Under- wald, executed by General Pfiffer on a large fcale. He has completed about 60 fquare leagues j the plan is 12 fact long, and nine and a half broad : every mountain is accurately meafured; and every objeft diftin&ly placed. The lake of Lucerne exhibits greater variety and more pi&urefque fcenery than any other of the Swifs lakes. It is feven leagues long in a right line, and three wide about Kuffhacht ; but the lhape is very ir¬ regular. The whole fouth fide is bordered by high mountains} but the north exhibits hills of no great height. The narrow gulf that extends towards the weft, is bordered on the weft and north weft by Mount Pilat, wdftch is a fingle mountain rifing boldly more than 6000 feet above the lake ; and on the fouth by Mount BurgenLerg. Stanz Stadt, belonging to the canton of Underwald, is on this fide ; and hereabouts the lake is dtepeft. Kuffnacht is on the point of the other gulf, w'hicli extends towards the eaft, and is jvider than the former. All the country to the wreft 2 56 ] LUC of thefe gulfs, and part of it to the north of the latter, belongs to the canton of Lucerne j but that which is to the louth 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, Botany Index.—For the culture of this plant, fee Agricul¬ ture Index. LUCIA, St, one of the Caribbee idands in the Weft Indies, about 22 miles long, and 11 broad, the middle of it lying in N. Lat. 39. 14. W, Long. 27. c. It was firft fettled by the French in 1650; but was reduced by the Englilh in 1664, w’ho evacuated it in 1666. The French immediately refettled the illand, but were again driven away by the Caribbs. As foon as the favages were gone, the former inhabitants re¬ turned, but only for a fhort time ; for being afraid of falling a prey to the firft privateer that (hould vifit their coafts, they removed either to other French fet- tlements that were rtronger, or which they might ex- peift to be better defended, There was then no re¬ gular culture or colony at St Lucia j 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 illand. In 1718 it W'as again fettled by the French ; but four years af¬ ter, it was given by the court of London to the duke of Montague, who was fent to take pofleftion of it. T his occalioned fome difturbance between the tw7o courts $ which was fettled, however, by an agreement made in 1731, that, till the refpeftive claims flrould be finally adjufted, the illand fhould be evacuated by both nations, but that both Ihould wood and water there. This precarious agreement furnilhed an op¬ portunity for private intereft to exert itfelf. The Englilh no longer molefted the French in their habi¬ tations $ but employed them as their afliftants in car- rying on with richer colonies a fmuggling trade, which the fubje6ts of both governments thought equally ad¬ vantageous to them. This trade has been more or lefs confiderable till the treaty of 1763, when the property of St Lucia w7as fecured to the crown of France. After that time the colony fiourilhed consi¬ derably. In the beginning of the year 1772, the number of white people amounted to 2018 fouls, men, women, and children j that of the blacks to 663 free men, and 12,795 Haves. The cattle confifted of 928 mules or horfes, 2070 head of horned cattle, and 3184 flieep or goats. There were 38 fugar plantations, which occupied 978 pieces of land 5 5,595,889 coffee- trees j 1,321,600 cocoa plants 5 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 Abbd Raynal, muff have increafed one- eighth yearly for fome rime. It was taken by the Britilh in 17785 reftored to France in 1783. It fell again into the hands of the Britifti in 1794, was evacu¬ ated m 1795, anft was again retaken in 1796. The foil of St Lucia is tolerably good, even at the fea fide 5 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 LUC [ lAicia bear evident marks of old volcanoes. In one deep valley there are Hill eight or ten ponds, the water of no in O r! rl Til I manner* on ri i-/afotnc ^ uciam s. boil, 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 unwholefome j but grows lefs noxious as the woods are cleared and the ground laid open. On fome parts of the fea coaft, the air is Hill more unhealthy, on account of fome fmall rivers which fpring from the foot of the mountains, and have not fufficient dope to wafh down the fands wuth which the influx of the ocean Hops up their mouths, by wdiich 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 160 18' N. according to the Englifh geographers; but according to all others, it is a degree farther to the northward. On the eaft-fouth-eaft lide is a harbour, with a bottom and fliore of white fand 5 but its bell road is oppofite to St Vincent’s to the fouth-weft, where there are at leaf! $o fathoms of water. On the weft fide there is no water : it abounds with goats, fea and land fowl, tortoiles, &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 obfcure parents, in the reign of the emperor Trajan. He ftudied law, and pradliled fome time as an advocate} but growing weary of the wrangling oratory of the bar, he commenced rhetorician. He lived to the time of Marcus Aure¬ lius, wTho made him regifter of Alexandria in Egypt j and, according to Suidas, he was at laft worried by dogs. Lucian was one of the fineft wnts in all anti¬ quity. His Dialogues, and other works, are written in Greek. In thefe he has joined the ufeful to the agreeable, inftru&ion to fatire, and erudition to ele¬ gance $ and we everywhere meet with that fine and delicate raillery which charafterizes the Attic tafte.— Thofe who cenfure him as an impious fcofter at reli¬ gion, have reafon on their fide, if religion confifted in the theology of the Pagan poets, or in the extravagant? opinions of philofophers •, for he perpetually throws fuch ridicule on the gods and philofophers, with their vices, as infpires hatred and contempt for them ; but it cannot be faid that he writes anywhere againft an overruling providence. LUC I AN I STS, or Lucanists, a religious fe£l:, fo called from Lucianus, or Lucanus, a heretic of the fecond century, being a difciple of Marcion, whofe errors he followed, adding fome new ones to them. Epi- phanius fays he abandoned Marcion ; teaching that people ought not to marry, for fear of enriching the Creator : and yet other authors mention that he held this error in common with Marcion and other Gno- ftics. He denied the immortality of the foul; affert- ing it to be material. I here was another fe6t of Lucianifts, wfbo appear¬ ed fome time after the Arians. They taught, that the Father had been a father always, and that he had the name even before he begot the Son ; as having in him the power or faculty of generation ; and in this mar.jer they accounted for the eternity of the Son. Vol. XII. Part I. Lucid Intervals 257 ] LUC LUCID INTERVALS, the fits of lunatics or maniacs, wherein the phrenzy leaves them in poffeflioa of their reafon. " . LUCIFER, according to the poets, was the fon 1 of Jupiter and Aurora. In aftronomy, Lucifer is the bright planet Venus, which either goes before the fun in the morning, for 290 days, and is our morning ftar ; or in the evening follows the fun, during the fame time, and then is called Hejperus or the evening ftar. LUCIFERA, in Mythology, a furname given to Diana, under which title the was invoked by the Greeks in childbed. She was reprefented as covered wuth a large veil, interfperfed with ftars, bearing a cref- cent on her head, and holding in her hand a lighted flambeau. LUCIFERIANS. a religious feift, who adhered to the fchilm of Lucifer, bithop of Cagliari, in the fourth century, who was baniihed by the emperor Conftantius, for having defended the Nicene dodlrine concerning the three Perfons in the Godhead.—St Au- guftine feems to intimate, that they believed the foul, which they confidered as of a carnal nature, to be tranfmitted to the children from their fathers. Theo- doret fays, that Lucifer was the author of a new error. The Luciferians increafed mightily in Gaul, Spain, -^gyPL A he occafion of the fchifm was, that Lu¬ cifer would not allow' any ads he had done to be abo- lilhed. There were but two Luciferian bilhops, but a great number of priefts and deacons. The Luciferians bore a peculiar averfion to the Arians. LUCILIUS, Caius, a Roman knight, and a La¬ tin poet, was born at Suelfa in Italy, about 140 B. C. He ferved under Scipio Africanus in the war with the Numantines j and was in great favour with that cele¬ brated general, and w’ith Laelius. He wrote 30 books of fatires, in which he laftred feveral perfons of quality very Iharply. Some learned men aferibe the invention of fatire to him ; but M. Dacier has maintained, with great probability, that Lucilius only gave a better turn t® that kind of poetry, and wrote it with more wdt and humour than his predeceflbrs Ennius and Pa- cuvius had done. His fragments have been carefully collected by Francis Douza at Leyden in 1599, with notes. But they require ftill to be better illuftrated by fome learned critic. LUCINA, a goddefs among the Romans, who prefided over women in labour. Some take her to be Diana, others Juno. She w'as called Lucina, becaufe file brought children to the light ; from the Latin word lux, “ light.” LUCIUS, the fpecific name of the pike. See Esox, Ichthyology Index. LUCONIA. See Manilla. LUCRETIA, the famous Roman matron, wife of Collatrnus, and the caufe of the revolution in Rome from a monarchy to a republic : this lady being ravilh- ed by Sextus, the eldeft fon of Tarquin king of Rome, ftabbed herfelf, 509 B. C. See the article Chastity! The bloody poniard, with her dead body expofed to the fenate, was the fignal of Roman liberty ; the ex- pnlfion of the Tarquins, and abolition of the regal dig- nhy, was inftantly refolved on, and carried into exe- tion. See Rome, XUCRETIXTS, or Titus Lucretius, Caius, one K k or I.ucriiuis J.acus Lucus. L UC [ 25 of trie moft celebrated of the Latin poets, was born of an ancient and noble Roinan family, and ftudied at Athens, where he became one of Epicurus’s lecf. He acquired great reputation by his learning and elo¬ quence 5 but in the flower of his age fell into a frenzy, occafloned by a philtre given him by his wife, who was diftradledly fond of him. Lucretius, daiing the intervals of his madnefs, put Epicurus’s doctrines into verfe, and compofed liis fix books De Rerum No turn, which are full extant. It is faid that he killed him- felf in a fit of madnefs, in the 54th year before the Chriftian era, when 51 years old. The molt corredt edition of Lucretius is that of Simon de Coline. The cardinal de Polignac has refuted Lucretius’s arguments, in his excellent Latin poem entitled Anti-Lucre tins. His poem De Rerum Natura has been tranflated into Engliih by Mr Creech. LUCRINUS lacus, in Ancient Geography, a lake of Campania, between Baige and Puteoli, famous for its oyiters (Horace, Martial, Juvenal) •, Lucnnenfes (Cicero), the people dwelling on it. Now a perfect bay fince the earthquake in 1538. LUCULLUS, Lucius Lucinius, a Roman gene¬ ral celebrated for his eloquence, his victories, and his riches. In his youth he made a figure at the bar •, and being afterwards made quaeflor in Alia, and praetor in Africa, governed thofe provinces with great modera¬ tion and juftice. Scarce was he known as a military man, when he twice beat the fleet of Hamilcar, and gained trvo great vi£lories over him. His happy ge- Hus was greatly improved by ftudy j for he employed his leifure in reading the bell authors on military af¬ fairs. Being made conful with Aurelius Cotta, dur¬ ing the third war with Mithridates king of Pontus, he was fent againft this prince : and this expedition was attended wJth a feries of vidlories, which did him lefs honour than an aft of generofity towards his col¬ league j who, walling to take advantage of his abfence to fignalize himfelf by fome great exploit, hailened to fight Mithridates •, but was defeated and fliut up in Chalcedonia; where he mull have perilhed, if Lucullus, facrificing his refentment to the pleafure of faving a Roman citizen, had not flown to his affiftance, and difengaged him. All Pontus then fubmitted to Lu¬ cullus ; who being continued in his government of Afia, entered the territories of Tigranes, the moll powerful king in Afia. That prince marched with a formidable army againfl Lpcullus: who defeated him with a handful of men, and killed great numbers of bis forces} took Tigranocertes, the capital of his king¬ dom j and was ready to put an end to the wTar, when the intrigues of a tribune got him depofed, and Pompey nominated in his room. Lucullus having brought home prodigious riches, now gave himfelf up to exceffive lux¬ ury ; and his table was ferved with a profufion till that time unknorvn. He brought from the Eaft a great number of books, which he formed into a library, and gave admittance to all men of learning, wdio fre¬ quented it in great numbers. Toward the end of his life, he fell into a kind of madnefs j and Lucullus, his brother was appointed his guardian. He is faid to have been the firft who brought cherries into Europe,. having brought the grafts from the kingdom of Pon¬ tus. L;UCUS, In general, denotes a wood or grove fa- B j L U D cred to a deity ; fo called a lucendo, bccaufe a great Lud number of lights were ulually burning in honour of II. the god (Ifidorus) j a practice common wuth idola-, 'Llu^' ters, as we learn from Scripture : hence Homer’s ciyXciOV /x.'k'ro$. LCD, a Britifh king mentioned in our old chro¬ nicles, and faid to have reigned about the year of the wmrld 3878. He is reported to have enlarged and wall¬ ed about Troynovant, or New Troy, where he kept his court, and made it his capital. The name of London is hence derived from Lad's town ; and Ludgate from his being buried near it : but this is only one among many other derivations of the name of London ; which are at leaft equally probable. See London. LUDAMAR, a Moorifh kingdom in the interior part of Africa, the capital of which is fituated in N. Lat. 15. o. W. Long. 60 50. which Mr Park con- fiders as little fuperior to a deiert. The Moors of Lu- damar fubfift chiefly on the flefli of their cattle. The barrennefs of the country is fuch, that it fur- niflies few materials for manufadlure : but the inhabi¬ tants contrive to weave a ftrong cloth, with which their tents are covered \ the thread is fpun by the women from goats hair, and with the hides of their cattle they furnilh faddles, bridles, pouches, and other articles of leather. They can alfo convert the native iron pro¬ cured from the negroes into fpears, knives, and pots for boiling their food ; but they purchafe their fire-arms and other w eapons of a fimilar nature from the Euro¬ peans, in exchange for Haves. Their ideas of female perfection are truly Angular, fince a w'oman, to have the fmalleft pretenfions to beauty, mull be one who requires a Have under each arm to fupport her as Ihe wTalks •, and a perfect beauty, according to Mr Park, is a load for a camel. The wealth of the Moors chiefly confiits in their numerous herds of cattle, yet the majority of the people fpend their days in a Bate of idlenefs. The tent of the king is the common place of rendezvous for the indo¬ lent, where they appear to enjoy an unlimited liberty of fpeech •, yet in the praife of their foverdgn they are wholly unanimous, finging fongs to his honour, which never fail to be filled with the groffell adulation. The king fometimes eats out of the fame bafon with the driver of his camels, and during the heat of the day re- pofes himfelf upon the fame bed. ^ Cavalry conllitute the chief military flrength of Lu- damar, which are w7ell mounted, and are very expert in attacking by furprife. The horfe of every ibldier is furnifhed by himfelf, as alfo his military, implements, confiding of a large fabre, a double-barrelled gun, a red leather bag for holding his balls, and a powder* horn flung over his (boulder. He has no pay, and his only compenfation arifes from plunder. They have no intercourfe with civilized nations, yet they boafl: an advantage over the negroes, as they pof- fefs, though in a very limited degree, the knowledge of letters. They are efleemed the vaineft, proudell, and moft bigotted, ferocious, and intolerant of all the nations of the earth, blending in their character the blind fuperftition of the negro with the favage cruelty and treachery of the Arab. It W'as with the utmoit difficulty that Mr Park made his efcape from this cruel and inhofpitable people. LUD I, a term ufed for (hows and public represen¬ tations. Luctius, Ludlow. L U D tatlons made by the Romans, for the of the people. See Games. J For an account of the particular games of Greece and Rome, as the Ifchmian, NemEean, Olympic, &c. fee Isthmian, &c. LUDIUS, a celebrated painter, lived in the reign of Auguilus Csefar, and excelled in grand compofitions. He was the firft who painted the fronts of houfes in the ilreets of Rome j which he beautified with great variety of kndfcapes, and many other different fub- jedls. LUDLOW, Edmund, fon of Sir Henry Ludlow, was born at Maidenhead, and educated in Trinity college, Oxford. His father oppofing the king’s in- tereft, Mr Ludlow joined with the fame party, and was prefent at the battle of Edgehill as a volunteer un¬ der the earl of Elfex. Upon the death of his father, he was chofen knight of the {hire for Wilts, and ob¬ tained the command of a regiment of horfe for the de¬ fence of that country. He was one of King Charles I.’s judges : after whofe death he was fent by the parlia¬ ment into Ireland, in quality of lieutenant-general of the horfe; which employment he difcharged with di¬ ligence and fuccefs till the death of the lord-deputy Ireton, when he afted for fome time as general, though without that title 5 Cromwell, who knew him to be fincerely in the interefl of the commonwealth, always finding out fome pretext to hinder the conferring of that charadfer upon him. The laft ftroke had been given by Ludlow to the Irifh rebellion, if the ufurpa- tion of Cromwell had 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 reftore the common¬ wealth 5 but Charles II. being recalled, he thought proper to conceal himfelf, and efcaped into Switzer¬ land, where he fettled. After the revolution, he came over into England, in order to be employed in Ire¬ land againtt King James : but appearing publicly in London, it gave great offence ; and an addrefs was prefented by Sir Edward Seymour to King William III. for a proclamation in order to apprehend Colonel Ludlowq attainted for the murder of King Charles I. Upon this he returned to Switzerland, where he died. During his retirement in Switzerland he wurote 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- iident of the council of the marches, eifabli tiled by Henry VIII. generally kept his courts in it, by which the town was much benefited, thefe courts not having been abolifhed till the iff of William and Mary. Its neighbourhood to Wales makes it a great thorough¬ fare, and engages many of the Welfh to lend 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 w7alls and feven gates. It is divided into four wards \ and is governed by 2 bailiffs, 1 2 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 ftands is a moll delight¬ ful profpect. In an apartment of the outer gatehoufe [ 259 1 entertainment Sflmuel Butler L U - D is faid to have written the firft part of Ludolph 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 j but part of the royal apartments and the fword of ftate are ftill 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 enclofed. 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 Wellh gentry, and over the ftable-doors are the arms of Queen Elizabeth, the earls of Pembroke, Sec. This caftle 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 ; 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 feen ex¬ cept thofe of its church. Here are an alms-houfe for 30 poor people, and two charity-fchools where 50 boys and 30 girls are both taught and clothed. It has a market on Monday, and three leffer ones on WTednef- day, Friday, and Saturday. Its fairs are on the Tuef- day Eafter, Whit-Wednefday, Auguft 21. Sept. 28. and Dec. 8. Provifions are very cheap here ; and at the annual horfe races there is the bell; of company. The country round is exceedingly pleafant, fruitful, and populous, efpecially that part called the Corvefdale, be¬ ing 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 everywhere, and converfed with learned men of all nations. He published 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 xome years, until he was incapacitated by a violent dif- order ; when he was difcharged with a handfome pen- fion : after he recovered, lie travelled into Mufcovy, where he was well received by the czar, and where his knowledge made the Mufcovite priefts fuppofe him to be a conjurer. On his return to London in 1694, he was cut for the ftone \ and as foon as his health would permit, in acknowledgement 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 K k 2 in Luge us Lac us. LUG [ 260 ] L U L the deplorable condition of^ which m- the water being fo redundant as to refufe receiving anyLuggerfliall more, they regurgitate, and return the water with ludwidgla in the Levant, duced him, after his return, with the aid of the bidiop 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 commillioners to manage the charities railed for them ; and he died early the fol- lownng year. His collected works were publiflied in 1712 „ „ ex¬ traordinary celerity, which thus fpreading itfelf, forms a lake, in moft places 18 cubits deep. 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 inhabitants, they direftly Hop up the larger apertures, and thus take large quantities of filh : when the lake is dry, they cut dowm their har- LuUi.l LUDWIDGIA, a genus of plants belonging to the . veft on the fpot where they' lowed, and fow again be- tetrandria clafs, and in the natural method ranking un¬ der the 17th order, Calycdnthemce. See Botany Index. LUES, among phyficians, is in general ufed for a difeafe of any kind $ but in a more particular fenfe is reftrained to contagious and peftilential difeafes 5 thus the lues Ga/lica7 or venerea, fignifies the venereal dif¬ eafe. See Medicine Index. LUFF, the order from the pilot to the Iteerfman to put the helm towards the /ee-fide of the ihip, in order to make the Ihip fail nearer the direftion of the wind. Hence, luff round, or luff a-lee, is the excefs of this movement, by which it is intended to throw the (hip’s head up in the wind, in order to tack her, &c. A (hip is accordingly faid to fpring her luff when Hie yields to the effort of the helm, by failing nearer to the line of the wind than (he had done before. See alfo Hauling the Wind. LuFF-Tcck/e, a name given by failors to any large tackle that is not deflined for a particular place, but may be varioully employed as occalion requires. It is generally fomewhat larger than the jigger tackle, although fmaller than thofe wThich ferve to .hoift the heavier materials into and out of the veffel, which lat¬ ter are the main and fore tackles, the ftay and quarter tackles, &c. LUG-saie, a fquare fail, hoilted occafionally on the maft of a boat or fmall veffel upon a yard wThich hangs nearly at right angles with the maft. Thefe are more particu’arly ufed in the barca longas, navigated by the Spaniards in the Mediterranean. LUGDUNUM, in /Indent Geography, the capital «f the Sgguiiani in Gallia Celtica, fituated at the con¬ flux 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, ca¬ pital of the Lyonnois. Lugdunum Batavorum, in Ancient Geography, a tiwn of the Batavi in Gallia Belgica. Now Leyden in Holland. Lugdunum Converarum, in Ancient Geography, a town of Gaul in Aquitain, at the foot of the Pyrenees. No w .S'. Bertrand, in Gafcony. LUGE US lacus, in Ancient Geography, a lake of Japydia, the weftmoft diftrift of Illyricum, to the fouth of the Save, and near the head of the Arfia. Now commonly called the Zirichnitv, Lake, from a fmall adjoining town. It is locked on every fide with mountains j from which fcanty currents run down 5 the lefs in quantity their waters, becaufe drank up by the earth ; till at length they are fvvallowed up in rocky furrows, fo formed as to refemble artificial. In thefe fore the inundation comes on : and grafs (hoots fo quick on it, that it may be cut down in three weeks time, (Lazius, Wernherus). LUGGERSHALL, a borough of Wiltftiire, 12 miles north of Salifbury, and 75 north by weft of Lon¬ don. It is an ancient borough by prefcription, though but a fmall hamlet, near the foreft of Chute, in a de¬ lightful country 5 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. 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, the afts of the Apoftles, which contains a hiftory of 30 years. Of all the infpired writers of the New Te- ftament, his works are written in the mod elegant Greek. It is believed that St Luke died at Rome, or in Achaia. Gofpel of St Luke, a canonical book of the New Teftament. Some think that it was properly St Paul’s Gofpel} and that, when the apoftle fpeaks of his Gofpel, he means what is called St Luke's. Ire- naeus fays, that St Luke digefted into writing what St Paul preached to the Gentiles j and Gregory Nazian- zen tells us, that St Luke wrote with the afliitance of St Paul. St Luke's the Evangelif's Day. a feftival in the Chri- ftian church, obferved on the 18th of October. LULA, a town of Swedifii Lapland; feated at the mouth of the river Lula, on the weft fide of the gulf of Bothnia, 42 miles fouth-weft of Tornea. E. Long, 21. o. N. Lat. 64. 30. Lula Lapmark, a province of Swedifii Lapland ; bounded by that of Tornea on the north, by the Both- nic gulf on the eaft, by Pithia Lapmark on the fouth, and Norway on the weft. LULLI, John Baptist, the mod celebrated and mod excellent mufician that has appeared in France fince 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 perfedion. Louis XIV. made him, fuperintendant of mufic. Some time after Perinna having introduced operas into France, and quarrelling with his company, he refigned his privilege to Lulli. Operas were then carried to the utmoft perfedion by this celebrated mufician, and were attended with conti¬ nual. 4 L U N [ 261 ] L U N LuI!y nual applaufe. Lulli every year, after this time, gave T a piece of his own compofition, till his death, w’hich happened in 1687. LULLY, Raymond, a writer on alchemy, fur- named the Enlightened DoBor, was born in the illand of Majorca in I 225. He applied himfelf with indefa¬ tigable labour to the ftudy of the Arabian philofophy, to chemiflry, phyfic, and divinity ; and acquired great reputation by his works. He at length went to preach the gofpel in Africa ; and was Honed to death in 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 fhows much ftudy and fubtility, but little judgement or folidi- ty. A complete edition of his works has been printed at Mentz.—He ought not to be confounded with Ray¬ mond Lully of Terraca, furnamed Neophytaf who from being a Jew turned Dominican friar. This laft Lully maintained feveral opinions that were condemned by Pope Gregory XL LUMBAGO, a fixed pain in the fmall of the back. See Medicine Index. , LUMBAR1S, a name given to the arteries and veins which fpread over the loins. LUMBRICAL, a name given to four mufcles of the fingers and to as many of the toes. LUMBRICUS, the Worm, a genus of animals be¬ longing to the order of vermes inteftina. See Helmin¬ thology Index. LUMELLO, a village in Italy, which gives name to the Lumellin, a fmall diftrift in the duchy of Mi¬ lan, lying along the river Po, and of which Mortaria and Valencia are the principal places. It was ceded to the duke of Savoy in 1707, and confirmed by the treaty of Utrecht in 1713. E. Long. 8. 42. N. Lat. 45* 5- LUMINOUS, an epithet applied to any thing that ftiines or emits light. Luminous Emanations have been obferved from hu¬ man bodies, as alfo from thofe of brutes. The light arifing from currying a horfe, or from rubbing a cat’s back, are known to moft. Inftances of a like kind have been known on combing a wmman’s head. Bar¬ tholin gives us an account, which he entitles mnlier fplendens, of a lady in Italy wdrofe body would ftiine whenever llightly touched wdth a piece of linen. Thefe effluvia of animal bodies have many properties in com¬ mon with thofe produced from glafs 5 fuch as their being lucid, their fnapping, and their not being ex¬ cited without fome degree qf friflion; and are un¬ doubtedly eleflrical, as a cat’s back has been found ftrongly eleftrical whtn ftjroaked. See Electricity and Light. LUMINOUSNESS of the Sea. See Light and Sea. Luminousness of Putrefcent SubJIances. See Light. LUMP-eish. See Cyclopterus, Ichthyology Index. LUNA, in Ancient Geography, a foreft of Germany, at no great diftance from the Hercynian ; below which were the Boemi: it was therefore in Moravia, near the fprings of the Marus, now' March, which runs into the Danube over againft Carnutum. Luna, or Lunna, a town of Gallia Celtica. Now C/ugny in Burgundy. Luna, a town and port of Liguria, at the mouth kuna of the Macra. The town was but fmall, but the port ^ ^ ^ large and beautiful, according to Strabo. Now exthuft,, vrj and its ruins called Luna Di/irutta. It wTas famous for its quarries of white marble, thence called Lunenfe; and for its cheefe, remarkable rather for its lize than goodnefs, each being a thoufand weight. Luna, in AJlronomy, the moon. See Astronomy, pafim. Luna, in the jargon of the alchemifts, fignifies JiL ver ; fo called from the fuppofed influence of the moon- thereupon. Luna Cornea, in Chemifiry, is a compound of muria¬ tic acid with filver. See Silver, muriate of, Che¬ mistry Index. LUNACY, a fpecies of madnefs. See Lunatic, and Medicine Index. Lunacy, in Law. See Idiocy and Lunatic. LUNiE MONS, in Ancient Geography, a promontory of Lufitania. Now Rock of Lijbon. W. Long. ic. N. Lat. 38. 50.—Another Lunce Mans of Ethiopia, from which the Nile w'as fuppofed to take its rife. Lunje Portus, a very extenfive port, or more truly a bay, of Liguria, between Portus Veneris and Portus Ericis, 20 miles in compafs. Now' il Go/fo della dpe%ia, on the eaft coaft of the territory of Genoa. LUNAR, fomething relating to the Moon. Lunar Month. See Month. Lunar Tear, confifts of 354 days, or 12 fynodical months. See Year. Lunar Dial. See Dialling. L UN ARE os, in Anatomy, is the fecond bone in the firft row of the carpus. It has its name from the Latin, luna, “ the moon,” becaufe one of its fides is in form of a crefcent. LUNARIA, Satin-flower, or Moonwort; a genus of plants belonging to the tetradynamia clal’s ; and in the natural method ranking under the 39th order, SHE quofce. See Botany Index. LUNARIUM, in Ancient Geography, a promon¬ tory of the Hither Spain, between Blanda and Baetulo. Commonly called el Cabo de Palafugel, in Catalonia, on the Mediterranean ; or Cabo de Tofa, on the fame coaft, and in Catalonia, 15 miles from the former, to the w'eft. LUNATIC, a perfon affefled with that fpecies of madnefs termed lunacy. The word is indeed properly applied to one that hath lucid intervals; fometimes enjoying his fenfes, and fometimes not ; and that frequently fuppofed to depend on the influence of the moon. Lunatic, in Law. Under the general term of non compos mentis (which Sir Edward Coke fays is the moft legal name), are comprifed not only lunatics, but per- fons under frenzies, or who lofe their intelledis by dif- eafe ; thofe that grow deaf, dumb, and blind, not be¬ ing born fo; or fuch, in ftiort, as are judged by the court of chancery incapable of conducting their own af¬ fairs. To thefe alfo, as well as idiots, the king is guar¬ dian, but to a very different purpofe. For the law al¬ ways imagines, that thefe accidental misfortunes may be removed j and therefore only conftitutes the crown a truftee for the unfortunate perfons, to proteCl their pro¬ perty, and to account to them for all profits received, if they recover, or after their deceafe to their reprefen-. tativea, L U N - [ 262 1 L U N tatives. And therefore it is declared by the ftatute 17 Edw. II. c. 10. that the king (hall provide for the cuitody and fuftentation of lunatics, and preferve their lands, and the profits of them, for their ufe when they come to their right mind 5 and the king (hall take nothing to his own ufe : and if the parties die in fuch eftate, the refidue fhall be diftributed for their fouls by the advice of the ordinary, and of courfe (by the fubfequent amendments of the law of adminiftra- tions) (hall now go to their executors or adminiftrators. On the fiiA attack of lunacy, or other occalional in- fanity, when there may be hopes of a fpeedy rellitution of reafon, it is ufual to confine the unhappy objects in private cuftody under the diredtion of their neareft friends and relations j and the legiflature, to prevent all abufes incident to fuch private cudody, hath thought proper to interpofe its authority, by 1 4 Geo. III. c. 49. for regulating private mad-houfes. But when the dif- order is grown permanent, and the circumftances of the party will bear fuch additional expence, it is thought proper to apply to the royal authority to warrant a lad¬ ing confinement. The method of proving a perfcn non co?nf>os is very fimilar to that of proving him an idiot. The lord chancellor, to whom, by fpecial authority from the king, the cuttody of idiots and lunatics is intruded, upon petition or information, grants a commiflion in nature of the writ de idiota inquirendo, to inquire into the party’s date of mind ; and if he be found non com¬ pos, he ufually commits the care of his perfon, wfith a fuitable allowance for his maintenance, to fome friend, who is then called his committee. However, to pre¬ vent finifter pradiices, the next heir is feldom permitted to be of this committee of the perfon ; beeaufe it is his intered that the party fhould die. But it hath been faid there lies not the fame objeftion againd his next of kin, provided he be not his heir •, for it is his intered to pre¬ ferve the lunatic’s life, in order to increafe the perfonal edate by favings, which he or his family may hereafter be entitled to enjoy. The heir is generally made the manager or committee of the eftate, it being clearly his intered by good management to keep it in condition : accountable, however, to the court of chancery, and to the non compos himfelf, if he recovers $ or otherwife, to his adminidrators. See Idiocy. LUNATION, the period or fpace of time between one new moon and another j alfo called fyuodicalmonth. See Cycle and Epact. LUNDEN, or Lund, a confidcrable town of Swe¬ den, in Gothland and capital of the territory of Scho- nen, with an archbilhop’s fee and an univerfity. It was ceded to the Swedes by the Danes in 1658. E. Long. 13. 25. N. Lat. 55. 40. LUNDY island, fituated 50 miles in the fea, off the north-wed coad of Devonfhire, is five miles long and two broad, but fo encompafied with inacceflible rocks, that it has but one entrance to it, fo narrow that two men can fcarcely go abread. It is reckoned in the hundred of Brandon. It had once both a fort and a chapel. The fouth part of it is indifferent good foil, but the north part of it is barren, and has a high pyra¬ midal rock called the Con/lable. Here are horfes, kine, hogs, and goats, with great dore of dieep and rabbits j but the chief commodity is fowl, w'ith which it abounds much, their eggs being very thick on the ground at 3 their feafon of breeding. No venomous creature will live in this ifiand. In the reign of Henry VIII. one William Morifco, who had confpired to murder him at Wooddock, ded to this idand, which he fortified, turn¬ ed pirate, and did much damage to this coaft; but was taken by furprife at length, with 16 of his accomplices, and put to death. LUNE, Lunula, in Geometry, a plane in form of a crefcent or half-moon, terminated by the circumfe¬ rence of two circles, that interfeft each other wfitbin. LUNENBURG, or Lunenburg Zell, a principa¬ lity of Germany, bounded to the fouth by that of Ca- lenberg, the diocefe of Hildedieim, and the duchy of Brunfwic ; to the north, by the duchy of Lauenburg and the Elbe, by the lad of which it is feparated from the territory of the imperial city of Hamburgh ; to the cad, by the duchy of Brunfwic, the Alte Mark, and the duchy of Mecklenburg •, and to the wed, by the duchies of Bremen and Verden, the county of Hoya, and the principality of Calenberg. The foil, except along the Elbe, Aller, and Jetz, is either fand, heath, or moor. In the more fruitful parts of it are produced wheat, rye, barley, oats, peafe, buck-wheat, flax, hemp, hops, pulfe, oak, beech, firs, pines, birch, and alder, together with black cattle and horfes. The heaths abound with bees and honey, and a fmall kind of ftieep whofe wool is long and coarfe. Lunenburg is well fur- nhhed wdth fait fprings and limeftone, and the foreft of Gorde with venifon. The rivers Elbe, Umenau and Aller, are navigable; and confequently very advanta¬ geous to the country, independent of the fifli which they yield. The general diets of this principality are convened by the fovereign twice a-year, and held at Zell. They confift of the deputies of the nobility and the towns of Lunenburg, Uelzen, and Zell, who have the nomination of the members of the high colleges, and other officers, jointly with the fovereign. There are near 200 Lutheran churches in the country, under two general and 15 fubordinate fuperintsndants, feveral grammar-fchools, two Calvinift churches at Zell, and an academy of exercifes at Lunenburg. The manufac¬ tures are chiefly linen cloth, cottons, ribbons, ftockings, hats, ftarch, bleached wax, refined fugar, gold and filver wires, all kinds of wooden wares, barges, boats, and {hips. The exports of thefe to Hamburgh, Lubec, and Altona, are confiderable. The neighbourhood of thefe cities, with the facility of conveying goods and merchandife to them and other places, either by land or water, is very advantageous to this country, and contributes greatly to its fubfiftence. On account of this principality, the king of Great Britain has a feat ancl voice both in the college of the princes of the em¬ pire and of the circle of LowTer Saxony. Its quota in the mfitricula is 20 horfe and 120 foot, or 7 20 florins in lieu of them. The revenues of the principality arife chiefly from the demefnes, tolls on the Elbe, contribu¬ tions, duties on cattle, beer, wine, brandy, and other commodities, which all together muff be very confider¬ able, fome bailiwics alone yielding upwards of 20,coo rix-dollars. Lunenburg, the capital of the principality of the fame name, is a pretty large town of Germany, on the river Elmen, or the Umenau, wffiich is navigable from the towm to the Elbe, at the diftance of 13 miles. It is 27 miles from Hamburgh, 43 from Zell, 65 from Brunfwic, Lune, Lunenburg L U N L 203 ] L U N Lunenburg, Brur.fvvic, 76 from Bremen, 68 liom Hanover j and Lunenfe ftands in E. Long. xo. 40. N. Lat. 53. 28. Its in- (Marmor. ]ia););t;ajlt:s are reckoned at between 8000 and 9000. v ' ]pormeriy this town was one of the Hanfc, and an im¬ perial city. Some derive its name from Lina, the ancient name of the llmenau others from Luna, the moon, an image of which is faid to have been wor- fhipped by the inhabitants in the times of Paganilm. Here were anciently feveral convents, viz. one of Mi¬ nims, another of Premonftratenfians, another of Be- nediftines, and a fourth of Minorites. Gut of the revenues of the Benedictine monaftery was founded an academy for the martial exercifes, where young gentle¬ men of the principality of Lunenburg are maintained gratis, and taught French, fencing, riding, and dan¬ cing \ but foreigners are educated at a certain fixed price. A Latin fchool was alfo founded, confifting of four claffes, and wTell endowed out of thefe revenues. The fuperintendancy and management of thefe, and the eftates appropriated to their maintenance, belongs to the landfchaft dire&or, and the aufreiter, who are both chofen from among the Lunenburg nobility. The firft came in place of the Popifh abbot, and as fuch is head of the ftates of the principality, and prefident of the provincial college. He has the title of excellency ; and in public inftruments ftyles himfelf, by the grace of God landfchaft direBor, and lord of the manfon of St Michael in Lunenburg. The chief public edifices are three pa- rilh-churches, the ducal palace, three hofpitals, the town-houfe, the falt-magazine, the anatomical theatre, the academy ; the conventual church of St Michael, in which lie interred the ancient dukes, and in which is the famous table eight feet long, and four wide, plated over with chafed gold, with a rim embellifhed with precious ftones, of an immenfe value, which was taken from the Saracens by the emperor Otho, and prefented to this church : but in 1698, a gang of thieves dripped it of 200 rubies and emeralds, together with a large diamond, and moft of the gold, fo that at prefent but a fmall part of it remains. Here are fome very rich fait fprings. Formerly, when there was a greater demand for the fait, upwards of 120,000 tons have been an¬ nually boiled here, and fold off; but fince the com¬ mencement of the prefent century, the fait trade hath declined greatly. A fifth of the fait made here belongs to the king, but is farmed out. It is faid to excel all the other fait made in Germany. This town is wrell fortified 5 and has a garrifon, which is lodged in bar¬ racks. In the neighbourhoood is a good limedone quarry •, and along the llmenau are warehoufes, in which are lodged goods brought from all parts of Ger¬ many, to be forwarded by the llmenau to Hamburgh, or by the Afche to Lubec, from whence other goods are brought back the fame w’ay. The towm itfelf carries on a confiderable traffic in wax, honey, wool, fiax, linen, fait, lime, and beer. LUNENSE marmor, in the natural hidory of the ancients, the name of that fpecies of white marble now known among us by the name of the Carrara marble, and didinguidxed from the datuary kind by its greater hardnefs and lefs fplendour. It w7as ever great¬ ly edeemed in building and ornamental works, and is fo dill. It is of a very clofe and fine texture, of a very pure white, and much more tranfparent than any other of the white marbles. It has^ always been found Lunette, in great quantities in Italy, and is fo to this day. See ^imSs’ , Luna. v LUNETTE, in Fortification, an enveloped counter¬ guard, or elevation of earth, made beyond the fecond ditch, oppofite to the places of arms 5 differing from the ravelins only in their fituation. Lunettes are ufually made in ditches full of water, and ferve to the fame purpofe as faudebrayes, to difpute the padage of the ditch. See Fortification. Lunette, in the manege, is a half horfe-fhoe, or fuch a fhoe as wants the fponge, i. e. that part of the branch which runs towards the quarters of the foot. Lunette is alfo the name of twm fmall pieces of felt, made round and hollow, to clap upon the eyes of a vicious horfe that is apt to bite, and drike with his fore feet, or that will not fuffer his rider to mount him. LUNGS, in Anatomy, a part of the human body, ferving for refpiration. See Anatomy, N° 117. In the Journal dc Medicine for June 1789 is a de- feription of an Injlrument for Inflating the Lungs, invented by M. Gorcy, phyfician to the military hofpital at Neufbrifack, which appears to be extremely w'ell adapted to the pur¬ pofe,-whild it may be ufed with the greated eale and facility. This indrument, which the inventor dyles apodopic, that is, “ redorer of refpiration,” confids of a double piatfi pair of bellows, BCLM, fig. 1. the two different parts CCXCVilft of which have no communication with each other. In the low’er fide BM, is an aperture A for a valve con- drufted on the principles of thofe of Mr Nairne’s air- pump. It condds of a rim of copper, clofed at one end by a plate of the fame metal, in which plate are fe- ven fmall holes placed at equal didances. This plate is covered with pieces of dlk coated with eladic gum, in which are fix tranfverfe incifions of two or three lines in length. Each incifion is fo made as to be fituated be¬ tween two of the holes, and at au equal didance from each : flee D, fig. 2. The filk mud be made very fe- cure, by a thread palfing feveral times round the rim. It is obvious, that a dream of air applied to that dde of the plate which is oppofite the filk, will pafs through the holes, and, lifting up the filk, efcape through the incifions. On the contrary, a dream of air applied to the other fide will prefs the filk upon the plate, and thus clofe the holes, fo that it will be impollible for it to pais through them. This valve opens internally, fo as to admit the air from without. At B is another valve, on the fame condruflion, but opening in a contrary direc¬ tion, thus permitting the air to efcape out of the lower part into the tube EF, but preventing its entrance. At C is another valve, opening internally to admit the air from the tube EF j and at D there is a fourth, opening externally to difeharge the air from the upper part. The flexible tube EF, ferewed on at the end CB,„ being introduced into one of the nodrils, whild the mouth and the other nodril are clofed by an aflidant, if we feparate the two handles LM, which were clofe together at the introduction of the tube, it is evident, that the air in the lungs will rufh into the upper part through the valve C, whild the external air will fill the lower part through the valve A : the two handles being L U P [ 264 ] L U S being again brought into contaft, the atmofpheric air ing under the 3 2d order, Pabilionacece. will be forced into the lungs through the valve B, and at the fame time the air in the upper part will be dif- charged at the valve D. Thus by the alternate play of the double bellows, the lungs wTill be alternately filled and emptied as in refpiration. In ufing the inftrument care Ihould be taken not to be too violent j as the more perfetlly the natural motion of refpiration is imitated, the better. To prevent any fubflances from without injuring the valves AD, fig. x. the rim is made with a fcrew% B, fig. 3. in order to receive a cap AA, fig. 3. full of fmall holes. Ibis fcrew has alfo another ufe. If air or oxygen gas be preferred, a bladder filled with it, fig. 4. may, by means of the fcrew A, be faftened to the valve A, fig. 1. ; and, to prevent wafte, as this air may ferve fe- veral times, a flexible tube maybe fcrewed on the valve D, fig. 1. communicating with the bladder by means of the opening 7ca°n. merce to ;mp0fe> as jn tlie above cited laws, an abfo- lute prohibition of every degree of it: yet, for the good of the public, it may be neceffary that, fuch as go be¬ yond proper bounds in eating, drinking, and wearing, wdiat by no means is fuitable to their Hation, fhould be taxed accordingly, could it be done without including thofe who have a better title to fuch indulgence. This is certainly, however, a point which ftiould be maturely weighed before executed j and, in mercantile countries at leaft, fuch reftraints may be found prejudicial, moft likely impradlicable, efpecially where true liberty is cftablilhed. Sir \Villiam Temple obferves, fpeaking of the trade and riches, and at the fame time of the frugality of the Hollanders, “ That fome of our max¬ ims are not fo certain as current in politics : as that en¬ couragement of excefs and luxury if employed in the confumption of native commodities, is of advantage to trade. It may be fo to that which impoveriilies, but not to that which enriches a country. It is indeed lefs prejudicial, if it lies in native than in foreign w-ares : but the humour of luxury and expence cannot flop at certain bounds 5 what begins in native will proceed to foreign commodities *, and though the example arife among idle perfons, yet the imitation will run into all degrees, even of thofe men by whofe indufiry the na¬ tion fubfifts. And befides, the more of our own we fpend, the lefs (hall we have to fend abroad ; and fo it will come to pafs, that while we drive a vaft trade, yet, by buying much more than wTe fell, we (hall come to be poor at daft.” LYBIA, or Libya, a name anciently given to all that part of Africa lying between the border of E- gypt and the river Triton *, and comprehending Cyre- rtaica, Marmarica, and the Regio Syrtica. See thefe articles. LYCiEUM, AvTiuov, in antiquity, the name of a celebrated fchool or academy at Athens, where Ari- ftotle explained his philofophy. The place was com- pofed of porticoes and trees planted in the quincunx form, where the philofophers difputed walking. Hence philofophy of the Lyeceum is ufed to fignify the philofo¬ phy of Ariftotle, or the Peripatetic philofophy. . Suidas obferves, that the Lycaeum took its name from its hav¬ ing been originally a temple of Apollo Lycaeus $ or rather a portico or gallery built by Lycaeus fon of Apollo } but others mention it to have been built by Pififtratus or Pericles. LYCiEUS, in Ancient Geography, a mountain of Arcadia, facred to Jupiter ; whence Jupiter Lycwus (Pliny). Sacred alfo to Pan (Virgil) ; and hence Ly- ccea, the rites performed to Pan on this mountain $ which Evander carrying wdth him to Latium, were called Lupercalia (Virgil). LYCAON, in fabulous hiftory, the firft king of Arcadia, fon of Pelafgus and Meliboea. He built a town called Lycofura, on the top of Mount Lycaeus, In honour of Jupiter. He had many wives, by wdiom he had a daughter called Callifto, and 50 fons. He was fucceeded on the throne by Nydtimus, the eldeft of his fons. He lived about 1820 years before the Chrif- tian era.—Another king of Arcadia, celebrated for his cruelties. He was changed into a wolf by Jupiter, be- caufe he offered human vi&ims on the altar of the god Pan. Some attribute this metamorphofis to another Lycaonia caufe. The fins of mankind, as they relate, were be- II come fo enormous, that Jupiter vifited the earth to pu-. nifh wdckednefs and impiety. He came to Arcadia, where he was announced as a god, and the people be¬ gan to pay proper adoration to his divinity. Lycaon, however, who ufed to facrifice all ftrangers to his ivan- ton cruelty, laughed at the pious prayers of his fubjedlsj and to try the divinity of the god, he ferved up human fleflr on his table. This impiety fo irritated Jupiter, that he immediately deftroyed the houfe of Lycaon, and changed him into a w'olf. LYCAONIA, in Ancient Geography, a fmall coun¬ try of the Hither Afia, contained between Pamphylia to the fouth, Cappadocia to the north, Pilidia and Pnry- gia to the w'eft, 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 Rpmans reckoned it in Afia intra Taurum. Arca¬ dia, anciently called Lycaonia (Stephanus.)—Alfo an iftand in the Tiber, joined to Rome by a bridge, and to the land by another, namely, the Ceilius and Fabric cius. LYCHNIS, campion, including alfo the Bache¬ lor's-button, Catch-fly, &c. ; a genus of plants belong¬ ing to the pentandria clafs j and in the natural method ranking under the 22d order, Caryophyllce. See Bo¬ tany Index. LYCIA, a country of Afia Minor, bounded by the Mediterranean on the fouth, Caria on the wreft, Pam¬ phylia on the eaft, and Phrygia on the north. It was anciently called Milyas and Tremile, from the Milyae, or Solymi, a people of Crete, who came to fettle there. The country received the name of Lycia from Lycus the fon of Pandion, wdio eftabliftied himfelf there. The inhabitants have been greatly commended by all the ancients for their fobriety and juftice. They were conquered by Croefus king of Lydia, and afterwards by Cyrus. Though they were fubjeft to the power of Perfia, yet they were governed by their own kings, and only paid a yearly tribute to the Perfian monarch. They became part of the Macedonian empire when A- lexander came into the eaft, and afterwards were ceded to the houfe of the Seleucidae. The country was reduced into a Roman province by the emperor Clau¬ dius. LYCIUM, a genus of plants belonging to the pen¬ tandria clafs ; and in thf natural method ranking under the 28th order, Lurid*. See Botany Index. LYGODONTES, the petrified teeth of the lupus- pifcis, or wolf-filh, frequently found foflile. They are of different ftiapes ; but the moft: common kind rife into a femiorbicular form, and are hollow' withint fomewhat refembling an acorn-cup \ this hollow is found fome- times empty, and fometimes filled with the ftratum in which it is immerfed. Many of them have an outer circle, of a different colour from the reft. LYCOMEDES, in fabulous hiftory, a king of Scy- ros, an ifland in the iEgean fea. He w as fon of Apollo and Parthenope. He w'as fecretly intrufted with the care of young Achilles, wdiom his mother Thetis had difguifed in woman’s clothes, to remove him from the Trojan war, where {he knew he muft unavoidably pe- rifli. Lycomedes has rendered himfelf famous for his treafhery to Thefeus, who had implored his protedlion whsn L Y C [ 277 ] L Y D Lycoperdon when driven from his throne of Athens by the ufurper II Mneftbeus. Lycomedes, as it is reported, either en- ■ - vious of the fame of his illuftrious gueft, or bribed by the emiflaries of Mneftheus, led Thefeus to an elevated place, on pretence to (how him the extent of his domi¬ nions, and perfidioully threw him down a precipice, where he was killed. LYCOPERDON, a genus of plants belonging to the cryptogamia clafs. See Botany Index. LYCOPERSICON. See Solanum, Botany Index. LYCOPHRON, a famous Greek poet and gram¬ marian, born at Colchis in Euboea, flourhhed about 304 B. C. and, according to Ovid, was killed by an arrow. He wrote 20 tragedies; but all his works are loft, except a poem entitled Cajfandra, w’hich contains a long train of predictions, w’hich he fuppofes to have been made by Caffandra, Priam’s daughter. This poem is extremely obfcure. The belt edition of it is that of Dr Potter, printed at Oxford in 1697, folio. LYCOPODIUM, or Club-moss *, a genus of plants belonging to the cryptogamia clafs. See Botany Index. LYCOPOLIS, or Lycon, in Ancient Geography, fo called from the worfhip of wolves. Lycopo/itee, the people } Lycopolites, the diftriCt. There were two towns of this name, one in the Delta, or Lower Egypt, near the Mediterranean ; the other in the Thebais, or Higher Egypt, in the northern part, to the weft of the Nile. LYCOPSIS, a genus of plants belonging to the pentandria clafs ; and in the natural method ranking under the 41 ft order, Afperifolice. See Botany Index. LYCOPUS, a genus of plants belonging to the diandria clafs •, and in the natural method ranking un¬ der the 42ft order, Verticillatce. See Botany Index. LYCURGIA, a feftival obferved by the Spartans, in memory of their lawgiver Lycurgus, whom they ho¬ noured with a temple and anniverfary facrifice. LYCURGUS, the celebrated legiflator of the Spar¬ tans, was the fon of Eunomes king of Sparta. He travelled to Greece, to the ifte of Crete, to Egypt, and even to the Indies, to converfe with the fages and learn¬ ed men of thofe countries, and to learn their manners, their cuftoms, and their laws. After the death of his brother PolydeCtes, who w7as king of Sparta, his wi¬ dow7 offered the crown to Lycurgus, promiftng that fhe wrould make herfelf mifcarry of the child of which fhe was pregnant, provided he would marry her j but Ly¬ curgus nobly refufed thefe advantageous offers, and af¬ terwards contented himfelf with being tutor to his ne¬ phew Charillus, and reftored to him the government when he came of age ; but notwuthftanding this regular and generous conduCI, he wras accufed of a defign to ufurp the crown. This calumny obliged him to retire to the ifland of Crete, wdiere he applied himfelf to the ftudy of the laws and cuftoms of nations. At his return to Lacedemon, he reformed the government: and, to prevent the diforders occafioned by luxury and the love of riches, he prohibited the ufe of gold and filver j pla¬ ced all the -citizens in a ftate of equality 5 and intro¬ duced the ftridfteft temperance, the moft exadt dif- cipline, and thofe admirable laws wftiich (a few except¬ ed) have been celebrated by all hiftorians. It is faidj that, to engage the Lacedemonians to obferve them Lydd inviolably, he made them promife with an oath not to Jl change any part of them till his return ; and that he ‘ A afterwards went to the ifland of Crete, where he killed himfelf, after having ordered that his afhes fhould be thrown into the fea, fcV fear leaf! if his body fhould be carried to Sparta the Lacedemonians would think them- felves abfolved from their oath. He flourished about 870 B. C. LYDD, a town of England, in Kent, twro miles and a half fouth-weft of Romney, of which town and port it is a member, and 7 1 miles from London. It is a populous towrn, and is incorporated by the name o-’ a bailiff, jurats, and commonalty. In the beach near Stone-end, is a heap of ftones, fancied to be the tomb of Crifpin and Crifpianus ; and near the fea is a piace called Holmjlone, confifting of beach and pebble-ftones, which abounds w7ith holm trees. LYDGATE, John, called the Monk of Bury ; not, as Cibber conjectures, becaufe he was a native of that place, for he w7as born about the year 1380, in the vil¬ lage of Lydgate : but becaufe he was a monk of the BenediCtine convent at St Edmund’s-Bury. After ftu- dying fome time in our Englifh univerfities, he travel¬ led to France and Italy : and, having acquired a com¬ petent knowledge of the languages of thofe countries, he returned to London, where he opened a fchool, in wftiich he inftruCted the fons of the nobility in polite li¬ terature. At what time he retired to the convent of St Edmund’s-Bury, does not appear •, but he w7as cer¬ tainly there in 1415. He was living in 1446, aged about 66 ; but in wftiat year he died is not known. Lydgate, according to Pits, was an elegant poet, a perfuafive rhetorician, an expert mathematician, an acute philofopher, and a tolerable divine. He w7as a voluminous writer; and, confidering the age in which he lived, an excellent poet. His language is lefs obfo- lete, and his verfification much more harmonious, than the language and verfification of Chaucer, who w7rote about half a century before him. He wnote, 1. Pliftory of the Theban war, printed at the end of Chaucer’s works, 1561, 1602, 1687. 2. Poemation of good counfel j at the end of Chaucer’s works. 3. The life of Hecftor ; London 1 594, folio, printed by Grofs, de¬ dicated to Henry V. 4, Life of the Blefled Virgin ; printed by Caxton. 5. The proverbs of Lydgate upon the fall of princes •, printed by Wink. Word. London, 410. 6. Difpute of the horfe, the Iheep, and the goofe ^ printed in Caxton’s Colledf. qto. 7. The temple of brafs 5 among the w-orks of Chaucer. 8. London lick- penny j vide Stow7’s hiftory, &c. &c. Befides an in¬ credible number of other poems and tranflations prefer- ved in various libraries, and of which the reader will find a catalogue in Biftrop Tanner. LYDIA, in Ancient Geography, a celebrated king¬ dom of Afia Minor.—All the ancient writers tell us, that Lydia was firft called Meeonia or Meonia, from Meon king of Phrygia and Lydia ; and that it was known under no other denomination till the reign of Atys, when it began to be called Lydia from his fon J--ydus. Bochart finding in his learned colle&ion of Phoenician w7ords the verb lu%, fignifying “ to wind,” and obferving that the country we are fpeaking of is wratered by the Maeander fo famous for its windings, concludes that it w7as thence named Lydia, or Ludia. As. L Y D [ 278 ] As to the ancient nanie of Mceonia, he takes it to be a phale a queen of L Y D Greek tranfiation of the Phcenician word lud; wherein he agrees in fome meafure with Stephanus, who derives the name of Maeonia from Mteon the ancient name of the Mseander. Some take the word meeonia to be a t ran flat ion of a Hebrew word flgnifying “ metal,” becaufe that country, fay they, was in former times enriched above any other with mines. Though Lydia and Majonia are by moft authors indifferently ufed for one and the fame country, yet they are fometimes diftinguiflied ; that part where Mount Tmolus flood, watered by the Pa&ohis, being properly called M, under this name, and for the fame purpofe. In Italy, a green marble called verdello, is moft frequently ufed ; and with us, very frequently fmall pieces of ba- fak. LYGEUM, a genus of plants belonging to the tri- andria cl '.fs 5 and in the natural method ranking under the fourth order. Gramma. See Botany Index. LYGII, Lion, Lugii, or Logiones, in Ancient Geo- grap/iy, a people of Germany, to the weft of the Viftu- la, where it.forms a bend like a crefcent 5 Zzjj-zz, (Dio) ; Lugii, (Strabo) j Logiones, (Zofimus). Their name Lugii is coniedtured to be derived from their mutually clofe confederacy or league. The Viftula was their boundary to the north, eaft, and fouth, with Mount Afciburgius to the weft. Now the whole of that coun¬ try lies in Poland, on this lide the Viftula. LYING-in women. See Midwifery. Lying-to, or Lying-by, the fituation of a (hip, when fire is retarded in her courfe, by arranging the fails in fuch a manner as to counteradt each other with nearly an equal effort, and render the thip almoft immoveable, with reipedt to her progreffive motion, or headway. A ftiip is ufually brought-to by the main and fore top fails, one of which is laid aback, whilft the other is full j fo that the latter puihes the Ihip forward, whilft the former refftts this impulfe, by forcing her aftern. This is particularly pradlifed in a general engagement, when hoftile fleets are drawn up in two lines of battle oppo¬ site each other. It is alfo ufed to ivait for fome other Ihip, either approaching or expedled •, or to avoid pur- fuing a dangerous courfe, eipecially in dark or foggy weather. LYM E-regis, a fea port town of Dorfetlhire in England, 148 miles from London. It lies near the fea, on the very borders of Devonlhire, in a cavi¬ ty between two rocky hills, which makes it diffi¬ cult 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 Ihow, 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 bis v mayoralty and the year after, and in the third year both juft:ce and coroner), a recorder, 15 capital burgeffes, and a town clerk. This place had formerly a very flourifhing trade to France, Spain, the Straits, New¬ foundland, and the "Weft Indies 5 during which, the euftoms 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 quar¬ ter of a mile off, called the Cobb, originally built in the reign of Edward III. which cofts a great fum to maintain, but forms fuch a harbour as perhaps is not to be equalled in the world, the fliips being flieltered by a high thick ftone wall, raifed in the main fea Lymington a good way from the ftiore, broad enough for car- II. riages and warehoufes, and the cuftomhoufe officers Lyncurimm have one upon it. The cellars of the low part of the town, near the fea, are however often overflowed by the fpring tides 10 or 12 feet. There are guns planted for defence both of the Cobb and the town, the ffiore here being very proper for batteries. The cuftomhoule ftands on pillars, with the corn market under it. There is an alms-houfe in Church ftreet, alfo Prelhyterian and Anabaptift meeting-houfes. The town hall is near Broad-ftreet. The church ftands at the eaft end of the town on a riling 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 2000I. worth of gold and filver coin of Char. I. and II. were dilcovered by fome labourers. LYMINGTON, a borough town of Hamplhire 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 j and has a harbour far veffels of confiderable burden. The tide flows near a mile above the town. It has a market on Satur¬ days, and tvro 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. LYMPHiEA, were artificial caves or grottos a- mongft the Romans, furnilhed with a great many tubes, canals, and various hydraulic apparatus, through which the water gufhed out upon the fpeftators un- expeftedly whilft they were admiring the beautiful arrangement of the {hell-work in the grotto. LYMPH ATI, was a name given by the Romans to fuch as were feized with madnefs. It is iuppofed to be ufed for Nymphati, becaule the ancients imagined that every perfon who had the misfortune to fee a Nymph was inftantly ftruck with phrenzy. Lymphati may indeed lignify “ madmen,1’ as derived from lym- pha, “ water,” over which element the Nymphs were thought to prefide : But it appears moft likely, that diftradled people w^ere called lymphati, from the cir- cumftance of madmen’s being affefted with the hydrC’- 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 Remans. LYNCEUS, in fabulous hiftory, one of the 50 fons of iEgeus, 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. 1 he poets (ay, that Lynctus had fo piercing a fight, that it could not only penetrate to the bottom of the fea, but even to hell. Some mythoiogifts fuppofe, that this table is taken from Lynceus’s {kill in obferving the ftars, and diico- vering the mines of gold and filver concealed in the earth. JLYNCURIUM, a ftone thought to be the fame with Y N [ 283 ] L Y N Ly»curius, witli tlie tourmalin. The name is derived from Avy|, lapis. u lynx,” and “ urine.” LYNCUR1US lapis, a (tone capable ot 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, wdiich never ceafes to produce in a few days mulhrooms of an excellent flavour by the moft Ample and eafy pro- cefs imaginable. “ It is (fays he) of the bignefs ot an ox’s head, rough and uneven on its furtace, and on which alfo are perceived fome clefts and crevices. It is black in fome parts, and in others of a lighter and grayilh colour. Internally it is porous, and near¬ ly of the nature of the pumice-Hone, but much. hea¬ vier 5 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 vifeid juice, which has the pro¬ perty of indurating whatever matter it filtrates, into. The ftone here fpoken of, wdien it has been lightly covered with earth, and fprinkled with warm .wjater, produces mufhrooms 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 mufhrooms is fometimes yellowifh, and fometimes of a bright purple; but they are always diffeminated with different fpots, of a deep orange colour, or red brown ; and when thefe fpots are recent, and ftill in full bloom, they produce a very agreeable effeft to the fight. But what appears admirable is, that the part of the ftalk which remains adhering to the ftone, when the mufti- room has been feparated from it, grows 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 Apulia ; and on the fummits.of fome other very high mountains. He adds, that the mufhrooms which grow on thofe forts of ftones, and are ufually called fungi lyncuru, 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, Efting, take a fufficient quantity of this powder in a glafs of white wine, which will fo cleanfe the excretory du6ts of the urine, that no Hones will ever after be collected in them. As to the form of thofe mufhrooms, their root is liony, uneven, divided according to its longitudinal direftion, and compofed of fibres as fine as hairs, in¬ terwoven one with another. Their form, on firft Ihoot- ing out, •refembles a fmall bladder, fcarce 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 fingers length, larger at top than at bottom, and becomes infenfibly flenderer in propor¬ tion as it is nearer the earth, Thefe muftirooms are alfo formed in an umbella, and variegated with an in¬ finity of little fpecks fituated very near one another. Lynn-regts. They are fmooth and even on the upper part, but un-' v""~" derneath leafy like the common muftirooms. 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 analyiis, 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 afterveards 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 j and a very acrid fait w'as extrafted from the allies. LYNN-kegis, 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 provoit, and 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 bilhop of Norwich -y after which it was called King’s Lynn, whereas before it was Biftiop’s Lynn. Henry III. made it a mayor town, for its ferving him againft the barons. It has had 15 royal charters ; and is governed by a mayor, high-fteward, under lie ward, recorder, 12 aider- men, and 18 common-council men. It has two churches, befides St Nicholas, a chapel of eafe to St Margaret’s, a Prefbyterian and a Quakers meeting-houfe, with a bridewell or workhoufe, and feveral alms-houfes, and a free fchool. In September 1741 the fpires of its two churches were both blown down by a ftorm of wind •, and that of St Margaret’s, which was 193 feet in height, having1 beat in the body of the church, it has been fince rebuilt, towards which King George II. gave 1 cool, and the late earl of Orford, then Sir Robert Walpole, 300I. This church was formerly an abbey, and afterwards one of the largeft pariih- churches in England. The town-houfe, called Tri¬ nity-hall, is a noble old fabric ; and 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 octagonal fpire over it, both which together are 170 feet from the ground. There is a library in it that was credited by fubfeription •, and there is another at St Marga¬ ret’s. Here have been formerly feveral monalteries $ but the only fabric remaining that belongs to any re¬ ligious order is the Gray-friars fteeple, a noted fea- mark. The fituation of this town, near the fall of the Oufe into the fea, after having received feveral other rivers, of which fome are navigable, gives it an opportunity of extending its trade into eight different counties j by which many confiderable cities and towns, viz. Peterborough, Ely, Stamford, Bedford, St Ives, Huntingdon, St Neot’s, Northampton, Cam¬ bridge, St Edmundfbury, and the north parts of Bucks, as well as the inland parts of Norfolk and Suffolk, are fupplied with heavy goods, not only from our own N n 2 produce. L Y N [2; r.ynn-regis. produce, as coals and fait from NeweaSIe, but alfo of v ^ merchandiie imported from abroad, efpecially wine ; of which two articles, viz. coals and wine, this is the greateft port for importation of any place on all the eailern coaft of England j and thofe wherein the TLynn merchants deal more largely than any town in England, except London, Briltol, and N-wealtle. In return for this, Lynn receives back all the corn which the counties juft mentioned produce, for exportation ; and therefore fends more ot it abroad than any port except Hull. Ihe foreign trade of the merchants here, is very confiderable, efpecially to Holland, Norway, and the Baltic, and alio to Spain and Portugal; and for¬ merly they drove a good trade to France, till it was turned off, by treaties on one hand, and by prohibi¬ tions, high duties, &c. on the other, to Spain and Portugal. Ihe harbour is fafe when (hips are in it, but difficult to enter by reafon of the many flats asid fhoals in the paffage ; which, howrever, are well buoyed, and good pilots are always4ready. The town confifts of about 2400 houfes j and appears to have been very ftrong, by the luins of the works demoliffied in the civil wars. St Ann’s platform at the north end mounts 12 great guns, and commands all the {hips paffing near the harbour : and towards the land, befides the wall, there is a ditch. Four rivulets run through the town ; and the tide of the Oufe, which is about as broad here as the Thames at London bridge, rifes 20 feet perpendicular. In the great market-place a ftatue was erefted in 1686 to the honour of King James II. There is another Ipacious market-place, adorned with a ftatue of King William III. and a fine crofs with a dome and gallery round it, fupported by 16 pillars. Ihe market-hcule is of free-ftone, fupported by 16 columns, and is 70 feet high, erefled on four fteps, neat¬ ly adorned with flatues, &c. Every firlf Monday in the month, the mayor, aldermen, preachers, &c. meet to hear and determine all controverfies amicably, for pre¬ venting law-luits. This was firlf eftablilhed in 1 t;88, and is called The Feajl of Reconciliation. The markets are on Tuefdays and Saturdays j and it has two fairs; one of which, beginning Feb. 14. lafts for a fortnight, and is called Lynn mart j the other is a cheefe fair on OH. 6. The adherence of this town to King John and to Henry VIII. as above mentioned, are not the only inftances of its loyalty to its fovereigns *, for, in the late civil wars, it held out for King Charles I. and iuftamed a formal fiege of above 18,000 men of the parliament army for above three weeks; but, for want of relief, was obliged to furrender, and fubmit to the terms of paying 10s. a-head for every inhabi¬ tant, and a month’s pay to the loldiers, to fave the town from plunder. There are more gentry, and con- fequently more gaiety, in this town than in Yarmouth or even Norwich ; there being fuch plenty of eatables and drinkables, that Spelman fays, Ceres and Bacchus feem to have ellabliffied their magazines at this place j the eail fide abounding with corn, fheep, rabbits, hares, &c. the weft fide with cheefe, butter, black cattle, fwans, and the wild fowl common to mrrfhes, befides the abundance of fea and river fifli ; fo that he thinks there is no place in Great Britain, if in Europe, has fuch a variety in fo fmall a compafs of ground. At a fmall diftance from the town, Hands a mount, called the Lady’s or Red Mount, which wTas once a chapel >4 1 L Y O dedicated to the Virgin Mary, which was a refting- Lynx place for pilgrims on their way towards her convent II a* Walftnghara. The king’s ftaith-yard, or quay, L>'onet- where the greateft part of the imported wines is land- ' ed and put into large vaults, is a handfome fquare, with brick buildings, in the centre whereof is a ftatue of King James I. People pais hence into the fen- country, and over the famous w7afhcs into Tnncolnffiirc in boats, which are often loft, by venturing out at au improper feafon and without guides. LYNX. See Felis, Mammalia Index. LYON King of Arms. See King ; and Law N0clviii. 16. ’ This office is of great antiquity and refpecl in Scot¬ land ; and although the precife time of its inftitution is unknown, yet it muft have been as early as the in¬ troduction of armorial figures as hereditary marks of gentility and diftinHion into this country, which was in the I 2th century.. His regalia are, a crown of gold, with a crimfon velvet cap, a gold taffel, and an ermine lining : a velvet robe reaching to his feet, with the arms of the kingdom embroidered thereon before and be¬ hind in the proper tindures j a triple row of gold chain round his neck, w'ith an oval gold medal pendant there¬ to, on one fide of which is the royal bearing, and on the other St Andrew with his crofs enamelled in pro¬ per colours, and a baton of gold enamelled green, pow¬ dered with the badges of the kingdom. The lord lyon’s rank is fuperior to that of any other king of arms, as he holds his office immediately from the fove- reign by commiffion under the great feal 5 whereas the kings of arms in England are deputies to the earl marlhal, and aH under his authority. Formerly Scot¬ land was divided into two provinces, the one on the north and the other on the louth fide of Forth ; and thefe provinces were under the 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 moft folemnly crowmed by the fovereign or his commitfioner, in prefence of the nobility, the officers of ftate, and other great men, after a fuitable fermon preached in the royal chapel ; and his crown wTas of the fame form with the imperial crown of the king¬ dom. On folemn occafions he wears the regalia above deferibed ; at all other times he wears the oval gold medal or badge on his bread, fufpended by a broad green ribbon. He has the abfolute difpofal of all the offices in his owm 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 jurifdiflion. And the powTers veiled in him by his commiffion are the fame with thofe of the fovereign in all matters relative to the marks of gentilitv. LYONET, Peter, an ingenious na’turalift, and member of feveral learned focieties, was born at Maef- tricht, and was dt feended from a very ancient and re- fpeHable family of Lorrain. He had fcarcely attained his feventh year before he difplayed an uncommon ftrength and agility in all bodily exercifes 5 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 Carteiian phyfics. He was particularly fond of the ftudy of lan- guagesj L Y O [ 285 ] L Y O lyonet. guages, whereof he underftood no lefs than nine, li- ving and dead. Having entered the univerlity of Ley¬ den, he ftudied the Newtonian philofophy, geometry, algebra, &c. •, but his father (who was a clergyman), defiring he fhould attach himfelf to divinity, he reluc¬ tantly abandoned the former ftudies, as his paffion for them was not eafily to be overcome. He at the fame time applied himfelf to anatomy, and alfo to mufic and drawing. He began afterwards to pra£!ife fculpture : and performed fieveral 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 ; rvberein, after three or four months practice, he became a great proficient. Having attained the degree of candidate in divinity, he refolved to ftudy law, to which he applied him¬ felf with fo much zeal, that he was promoted at the end of the firft year. Arrived at the Hague, he un¬ dertook the (ludy of decyphering ; and became fecre- tary of the cyphers, tranllator of the Latin and French languages, and patent-mafler to their High Mighti- neffes. Meanwhile, having taken a Itrong liking to the ftudy of infetfts, he undertook an hiftorical de- fcription of fuch as are found about the Hague, and to that end collected materials for feveral volumes ; and having invented a method of drawing adapted thereto, he enriched this work with a great number of plates, univerfally admired by all the connoiffeurs who had feen them. In the year 1724 was printed at the Hague a French tranflation of a German work, the 4 Theology of Infedls,’ by Mr Lefler. Love of truth engaged Mr Lyonet to defer the publication of his a- bove-mentioned defcription, and to make fome obfer- vations on that work, to which he has added two mod: beautiful plates, engraved from his deiigns. This per¬ formance caufed his merit to be univerfally known and admired. The celebrated M. de Reaumur had the above tranflation reprinted at Paris, not fo much on account of the work itfelf as of Mr Lyonet’s obfer- vations ; and beftowed on it, as did alfo many other authors, the higheft encomiums. He afterwards exe¬ cuted drawings of the freih water polypus for Mr Trembley’s beautiful wmrk, 1744. The ingenious Wandelaar had engraved the firft: five plates •, when Mr Lyonet, w7ho had never witnefled this operation, con¬ cerned at the difficulties he experienced in getting the remaining eight finilhed in the fuperior ftyle he requir¬ ed, refolved to perform the talk himfelf. He’ ac¬ cordingly took a lelfon of one hour of Mr Wandelaar, engraved three or four fmall plates, and immediately began upon the work himfelf, which he performed in fuch a manner as drew on him the higheft: degree of praife, both from Mr Trembley and from many other artifts, particularly the celebrated Van Gool j who declared that the performance aftonilhed not only the amateurs, but alfo the moft experienced artifts. In ^748 he was chofen member of the Royal Society of London. In 1749 he began (by mere chance) his amazing colleblion of horns and fhells, which, according to the univerfal teftimony of all tra- vellers and amateurs who have vifited it, is at prefent the moft beautiful, and certainly one of the moft valu¬ able, in Europe. In 1753 he became member of the newly-eftablilhed Dutch Society of Sciences at Haer- 1cm; and in I757> after the celebrated M. le Cat, Lyouet profeflor in anatomy and furgery, and member of al- H moft all the principal focieties in Eurnpe, had feen ^^Lns' Mr Lyonet’s incomparable Traite Anatomique de la Che¬ nille qui range le Bois de Saule, with the drarvings be¬ longing to it (which work was afterwards publiihed), he was ele&ed member of the Royal Academy of Sci¬ ences of Rome, wffiereof M. le Cat was perpetual fe- cretary. After the publication of this treatife, he be¬ came, in 1760, member of the Royal Academy of Sciences of Berlin; in 1761, of the Imperial Acade¬ my of Naturalifts ; and, in 1762, of the Imperial Aca¬ demy of Sciences at St Peterfburgh. In order to en¬ able fuch as might be defirous of following him in his intricate and moft aftoniffilng difcoveries xefpedling the ftrudfure of this animal, Mr Lyonet publiihed, in the rI ranlactions of the Dutch Society of Sciences at Haer- lem, a defcription and a plate (as he alfo afterwards did in French at the beginning of his Traite Anatomique') of the inftrument and tools he had invented for the pur- pofe of dilTe&ion, and likewife of the method he ufed to afeertain the degree of ttrength of his magnifying glafles. Notwithftanding all this labour, which was confiderably increafcd by the extenfive correfpondence which he for many years carried on with feveral learn¬ ed and refpectable perfonages, he ftill found means to fet apart a large proportion of his time (as he himftlf 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 recompenfe for his exertions than forrow and difappointment.— During the laft fifteen or twenty years of his life, Mr Lyonet added to the valuable treaiure he had already collected of natural curiofities, a moft fuperb cabinet of paintings, confifting of more than 560 performances; among which are many of the moft eminent works of the firft Dutch mailers. He did this with a view to procure himfelf fome amufement 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 poe¬ try ; 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 diffolution. 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- phiny, Brefle, and the principality of Donahs , on the louth, by Vivarais and Velay ; and on the weft by- Auvergne and a fmall part of Bourbonnois. It com¬ prehends Lower Lyonois, Beaujolois, and Forez ; and it produces corn, wine, fruits, and more efpeci- ally excellent chefnuts. The principal rivers are the Saone, the Rhone, and the Loire. Lyons is the ca¬ pital town. LYONS, a large, rich, handfome, ancient, and fa- mous town of France, being the moft confiderable in the kingdom, next to Paris, with an archbifhop’s fee, an academy of fciences and belles lettres, and an aca¬ demy of arts and fciences fettled here in 1736. It is feated in the centre of Europe,, on the confluence of the L Y R r 286 T L Y R I-yra, tlie rivers Rhone and Saone: on the fide of it are two 1 yie~ mountains j and the mountain of St Sebattian ferves as a bulwark againft the north winds, which of¬ ten blow here with great violence. It contains about I 50.000 inhabitants j 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 at¬ tention. The cathedral is a fuperb ftruflure, and the canons that compofe the chapter are all perfons of di- llintdion. It is a place of very great trade, which is extended through Europe. It derives vaft advantages from the rivers near it ; and is fituated in E. Long. 4. 55. N. Lat. 45. 46. Lyons was the fcene of lome the horrid tranfaftions of the French revolution. See France. LYRA, a fpecies of filh. See Callyonimus, Ich¬ thyology Index. Lyra, in Jljlronomy, a conftellation in the north¬ ern hemifphere. The number of its ftars, in Pto¬ lemy’s catalogue, is ten ; in Tycho’s eleven 5 in Heve- lius’s feventeen 5 and in the Britannic catalogue twen¬ ty one. LYRE, a mufical inftrument of the ftringed kind, much ufed by the ancients. Concerning the number of firings with which this in¬ ftrument w’as furnilhed, there is great controverfy. Some aflert it to be only three 5 and that the founds of the twTo remote were acute, and that of the intermediate one a mean between thofe two extremes *, that Mercu¬ ry, the inventor, refembled thofe three chords to as ma¬ ny feafons of the year, which were all that the Greeks reckoned, namely, fummer, winter, and fpring: af- figning the acute to the firft, the grave to the fecond, and the mean to the third. * Others affert that the lyre had four firings 5 that the interval between the firft and the fourth was an oftave 5 that the fecond w^as a fourth from the firft, and the fourth the fame diftance from the third, and that from the fe¬ cond 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 ft]ell was invented by Mercury 5 and the knowledge of it, as it w-as conftrutted by him of feven firings, was tranfmitted to Orpheus : Orpheus taught the ufe of it to Thamyris and Linus; the latter of whom taught it to Hercules, who communicated it to Amphion the Theban, who built the feven gates of Thebes to the fe¬ ven firings of the lyrel” The fame author proceeds to relate, “ That Orpheus was afterwards killed by the Thracian women 5 and that they are reported to have call his lyre into the fea, which was afterwards thrown up at Antiffa, a city of Lefbos: that certain fifhers finding it, they brought it to Terpander, who^ carried it into Egypt, exquifitely improved, and, ftiowing it to the Egyptian priefis, affumed to himfelf the honour of its invention.” This difference among authors feem to have arifen from their confounding together the Egyptian and^ the Grecian Mercuries.—The invention of the primitive lyre with three firings was due to the firft Egyptian Hermes, as mentioned under that art:cle.— The lyre Lyre, attributed to the Grecian Mercury is defcribed by al- " * moil all the poets to be an initrument of feven firings f. Vincenzio Galilei has colledled the various opinions oi t 5ee the feveral Greek writers who have mentioned the 'm-curI% vention of the chelys or teftudo 5 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. There is a ridiculous old legend relating to this inven¬ tion, which informs us, that Mercury, after Healing fome bulls from Apollo, retired to a fecret grotto, 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 ate the fleih of it. As he was diverting himfelf with the (hell, he was mightily plealed with the noife it gave from its concave figure. He had poflibly been cunning enough to find out, that a thong pulled firait and faftened at each end, when firuck with the finger, made a fort of mufical found. However that was, he went immediately to work, and cut feveral thongs out of the bides he had lately ftolen, and faftened them as tight as he could to the fhell of this tortoife 5 and, in playing with them, made a new kind of mufic with them to divert himfelf in his retreat.” This, confidered only as an account of the firft: invention of the lyre, is not altogether fo unna¬ tural. The moft ancient reprefentations of this infirument agree very well with the account of its invention : the lyre, in particular on the old celeftial globes, was re- prefented as made of one entire (hell of a tortoife 5 and that of 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, howrever, 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 firfl: 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 appeafe his ire. The god receives it gladly, and effays The novel infirument a thoufand ways ; With dext’rous Ikill the ple&rum wields 5 and fings With voice accordant to the trembling firings, Such ftrains as gods and men approv’d, from whence The fweet alliance fprung of found and fenfe. Diodorus informs us, that Apollo foon repenting of the cruelty with wliich he had treated Marfyas in con- fequence of their mufical conteft, broke the firings of the lyre, and by that means put a flop for a time to any further progrefs in the praftice of that new inftrument. “ The Mufes (adds he) afterwards added to this in¬ ftrument the firing called mcfe; Linus, that of hchanos; 1 L Y R [ 287 ] Lyre, and Orpheus and Thamyris, thofe firings which are named hypate and parJnjpate (a). -Again, Many ancient and refp&able 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 ftate 856 years, from the time of Amphion, till Terpander added to it three new firings, which extended the mufical fcale to a heptachord, or feventh, and fupplied the player with two conjoint te- trachords. It was about 150 years after this period, that Pythagoras is laid to have added an eighth firing to the lyre, in order to complete the o&ave, which con- fifted of two disjoint tetrachords. Boetius gives a different hiftory of the fcale, and tells us, that the fyffem did not long remain in fuch narrow limits as a tetrachord. Choraebus, the fon of Athis, or Atys, king of Lydia, added a fifth firing •, Hyagnis, a ffxth •, Terpander, a feventh *, and at length Lychaon of Samos, an eighth. But all thefe accounts are irreconcilable with Homer’s hymn to Mercury, where the chelys, or teftudo, the invention of which he afcribes to that god, is faid to have had feven firings. There are many claimants among the muficians of an¬ cient Greece to the firings that were afterwards added to thefe, by which the fcale, in the time of Arittoxenus, was extended to two odlaves. Athenaeus, more than once, fpeaks of the nine-ffringed inftrumerit 5 and Ion of Chios, a tragic and lyric poet and philofopher, who firfi recited his pieces in the 8 2d Olympiad, 452 B. C. mentions, in fome verfes quoted by Euclid, the ten- ftringed lyre ; a proof that the third conjoint tetrachord w'as added to the fcale in his time, which was about 50 years after Pythagoras is fuppofed to have conftruiffed the o&achord. The different claimants among the Greeks to the fame muffcal difcoveries, only prove that mufic was cul¬ tivated in different countries, and that the inhabitants of each country invented and improved their own in- ftruments, fome of which happening to refemble thofe of other parts of Greece, rendered it difficult for hifto- rians to avoid attributing the fame invention to differ¬ ent perfons. Thus the Angle flute was given to Mi¬ nerva and to Marfyas ■, the fyrinx or fiftula, to Pan and to Cybele and the lyre or cithara, to Mercury, Apollo, Amphion, Linus, and Orpheus. Indeed, the mere addition of a firing or two to an inftrument with¬ out a neck, was fo obvious and eafy, that it is fcarce L Y R poffible not to conceive many people to have done it at i ^Je’_ the fame time. With refpeft to the form of the ancient lyre, as little agreement is to be found among authors as about the number of firings. The belt evidences concerning it, are the reprefentations of that inftrument in the hands of ancient ftatues, bas-reliefs, &c. See Plate CCXCA 111. where, Fig. 1. is a reprefentation of the teftudo, or lyre of Amphion, in front, as it appears on the bafe of the ce¬ lebrated Toro Farnefe at Rome. This admirable work, confffting of four figures bigger than the life, hefides the toro or bull, W'as found in Caracglla’s baths, where- the Farnefe Hercules was likewife difcovc-red: and, ex¬ cept the Laocoon, is the only piece of Greek fculpture mentioned by Pliny that is now remaining. The two projections near the bottom, feem to have been fafien- ings for the firings, and to have anfwered the purpofe of tail-pieces in modern inftruments. 2. The lyre held by Terpfichore, in the piCIure of that mufe dug out of Herculaneum. 3. The Abyffinian teftudo, or lyre in ufe at prefent in the province of Tigre, from a drawing of Mr Bruce, communicated to Dr Burney. “ This inftrument (fays he) has fometimes five, fometimes fix, but molt fre¬ quently feven firings, made of the thongs of raw Iheep or goat fkins, cut extremely fine, and twifted 5 they rot foon, are very fubjeft to break in dry weather* and have fcarce any found in wet. From the idea, however, of this inftrument being to accompany and fuf- tain a voice, one would think that it was better mounted formerly. “ The Abyffinians have a tradition, that the fiftrum, lyre, and tambourine, were brought from Egypt into Ethiopia, by Thot, in the very firft ages of the world. The flute, kettle-drum, and trumpet, they fay, were brought from Paleftine, with Menelek, the Ion of their queen of Saba by Solomon, who was their firfi: Jew'ifir king, “ The lyre in Amharic is called beg, ‘ the fheep ; in Ethiopic it is called mejinko; the verb finho fignifies to ftrike firings wdth the fingers : no ple&rum is ever ufed in Abyffinia j fo that mefinko, being literally in¬ terpreted, will fignify the ‘ ftringed inftrument played upon with the fingers.’ “ The Aides which conftitute the frame of the lyre, were anciently compofed of the horns of an animal of the goat kind, called aga%en, about the fize of a fmall cow, (a) It has been already related, that the lyre invented by the Egyptian Mercury had but three firings 5 and, by putting tbefe two circumftances together, Dr Burney obferves, we may perhaps acquire fome knowledge of the progrefs of mufic, or, at leaft, of the extenfion of its fcale, in the higheft antiquity. Mefe, in the Greek mufic, is the fourth found of the fecond tetrachord of the great fyftem, and firft tetrachord 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 5 firft, that the moft ancient tetrachord was that from E in tfcie 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, Parhypate Mefon, Mefon Diatoms. The addition therefore of Mefe to thefe, com¬ pleted the firfi and mod: ancient tetrachord, E, F, G, A. The firing /ichanos, 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 moft ancient of all the Greek modes; and the two firings call Hypate and Parhypate, correfponding W’ith 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 Cfdls the infirument then in ufe the feve&~ tongued hjre. L Y R and common in the province of Tigre. I have feen feve- ral of thefe inftruments very elegantly made of fuch horns, which nature feems to have Ihaped on purpole. Some of the horns of an African fpecies of this animal may be feen in M. Buffon’s hifiory of the king of kranee’s caoinet. I hey are bent, and lefs regular than the Abyffinian 5 but after fire-arms became common in the province of Tigre, and the woods were cut down, this animal being more fcarce, the lyre has been made of a light red wood ; however, it is always cut into a fpiral twilled form, in imitation of the ancient materials of whicn the lyre was compofed. The drawing I fend you was one of thefe inflruments made of wood. “ ^le kingdom of Tigre, which is the largeft and moll populous province of Abyfilnia, and was during many ages the feat of the court, was the firft which received letters, and civil religious government ; it extended once to the Red fea : various reafons and revolutions have obliged the inhabitants to refign their fea coail to different barbarous nations, Pagan and Ma¬ hometan : while they were poffeffed of it, they fay that the Red lea furnifiled them with tortoife-lhells, of which they made the bellies of their lyres, as the Egyptians did formerly, according to Apollodorus and Lucian ; but having now loft that refource, they have adopted in its place a particular fpecies of gourd, or pumpkin, very hard and thin in the bark, ftill imi¬ tating with the knife the fquares, compartments, and figure of the ftiell of the tortoife. “ The lyre is generally from three feet to three feet fix inches high j that is, from a line drawn through the point of the horns, to the lower part of the bafe of the founding board. It is exceedingly light, and cafy of carriage, as an inftrument Ihould naturally be in fo rugged and mountainous a country. “ When we confider the parts which compofe this lyre, we cannot deny it the earlieft antiquity. Man in his firft ftate was a hunter and a fiflier, and the oldeft inftrument was that which partakes moft of that ftate. The lyre, compofed of two principal pieces, owes the one to horns of an animal, the other to the Ihell of a filh. “.It is probable, that the lyre continued with the Ethiopians in this rude ftate as long as they confined themfelves to their rainy, fteep, and rugged mountains 5 and afterwards, when many of them defeended along the Nile into Egypt, its portability would recommend it in the extreme heats and wearinefs of their way. Up¬ on their arrival in Egypt, they took up their habita¬ tion in caves, in the lides of mountains, which are in¬ habited to this day. Even in thefe circumftances, an inftrument larger than the lyre muft have been in¬ convenient and liable to accidents in thofe caverns; but when thefe people increafed in numbers and courage, they ventured down into the plain, and built Thebes. Being now at their eafe, and in a fine climate, all na¬ ture fmiling around them, mufic and other arts were cultivated and refined, and the imperfect lyre was ex¬ tended into an inftrument of double its compafs and volume. -The fize of the harp cotdd be now no long- *r an objeflion ; the Nile carried the inhabitants every¬ where eafiily, and without effort; and we may naturally fuppofe in the fine evenings of that country, that the Nile was the favourite feene upon which this inftm- L Y R ment wras practifed ; at leaft the fphinx and lotus upon its head, feem to hint that it was fomewray connected with the overflowings of that river.” See Harp. 4. An Etrufcan lyre, with feven firings, in the col- leflion of Etrufcan, Greek and Roman antiquities, publilhed from the cabinet of the Hon. Sir William Hamilton, Vol I. Naples 1766. Plate CIX. With re- fpeft to this inftrument, it is worthy of obfervation, that though the vafe upon which it is reprefented is of fuch indifputable and remote antiquity, the tail-piece briage, belly, and found-holes, have a very modern ap¬ pearance, and manifeft a knowledge in the conftruflion of mufical inftruments among the Etrufcans fuperior to that of the Greeks and Romans in much latter times. 1 he lower part of the inftrument has much the appear¬ ance of an old bals-viol, and it is not difficult to difi- cover in it more than the embryo of the whole violin family. I he firings lie round, as if intended to be played on with a bow ; and even the crofs lines on the tail-piece are fuch as we frequently fee on the tail¬ pieces of old viols. 5- 'I"*16 Tripodian lyre of Pythagoras the Zacyn- thian, from a bas-relief in the Maffei palace at Rome reprefenting the whole choir of the mufes. Atheneeus gives the following account of this extraordinary in¬ ftrument, Lib. XIV. cap. xv. p. 637. Many ancient inftruments are recorded (fays Artemon), of which we have fo little knowledge, that we can hardly be certain of their exiftence ; fuch as the tripod of Py¬ thagoras the Zacynthian, which, on account of its difficulty, continued in ufe but a fhort time. It refembled in form the Delphic tripod, whence it had its name. The legs were equidiftant, and fixed upon a moveable bafe that was turned by the foot of the player : the firings were placed between the legs of the ftool; the vafe at the top ferved for the purpofe of a found-board, and the firings of the three fides of the inftrument wrere tuned to three different modes, the Doric, Lydian, and Phrygian, fhe per¬ former fat on a chair made on purpofe : flriking the firings with the fingers of the left hand, and ufing the ple&rum with the. right, at the fame time turning the inftrument with his foot to whichever of the three modes he pleafed : fo that by great pra&ice he was enabled to change the modes with fuch velocity, that thofe who did not fee him would imagine they heard three difl'erent performers playing in three different modes. After the death of this admirable mufician, no other inftrument of the fame kind was ever con- ftru6led.” 6. A lyre in the famous ancient pidlure dug out of Herculaneum, upon which Chiron is teaching the young Achilles to play. See Chiron. LYRIC poetry, was fuch as the ancients fung to the lyre or harp.—It w?as originally employed in ce¬ lebrating the praifes of gods and heroes, and its cha- radleriftic was fweetnefs. Who w as the author of it is not known. It w>as much cultivated by the Greeks : and Horace was the firft who attempted it in the La¬ tin language. Anacreon, Alcaeus, Stefichorus, Sap¬ pho, and Horace, w’ere the moll celebrated lyric poets of antiquity. LYRODI, among the ancients, a kind of muficians who played on the lyre, and lung at the fame time. This [ 288 J L Y S [2 Lys This appellation was alio given to fuch as made it H their employment to fing lyric poems compofed by LyfiPPus-, others. LYS, or Lis. See Lis. Lys, the name of a meafure ufed by the Chinefe in eftimating didances. Two hundered lys make 60 geo¬ graphical miles, which are equal to one degree. LYSANDER, a famous Spartan general. See Sparta. LYSANDRIA, a Samian feltival, celebrated with games and facrifices in honour of the Lacedemonian general Lyfander. It was anciently called herea : but this nartie the Samians abolilhed by a public de¬ cree. LYSIARCH, an ancient magidrate, who fuperin- tenied the facred games, and prelided in matters of religion in the province of Lycia. He w7as created in a council confiding of deputies from all the pro¬ vincial cities, in number 23. The lyfiarchs w'ere both heads of the council and pontiffs of the pro¬ vince. LYSIAS, an ancient Grecian orator, was born at Syracufe in the 80th Olympiad. At 15, he went to Thurion, a colony of the Athenians ; and when grown up, adided in the adminidration of the go¬ vernment there many years. When about 47 years of age, he returned to Athens 5 whence, being after¬ wards banidied by the 30 tyrants, he w’ent to Mega- ra. Upon his return, Thrafybulus wTould have had him employed again in date matters; but this not tak¬ ing place, he fpent the remainder of his life as a pri¬ vate man. He w7as very familiar with Socrates, and other illuftrious philofophers. He profeffed to teach the art of fpeaking ; not that he pleaded at the bar himfelf, but he fupplied others w7ith fpeeches. “ Fuit Lyfias in caufis forenfibus non verfatus (fays Cicero), fed egregie fubtilis fcriptor atque elegans,” &c. Quin¬ tilian calls him, “ fubtilis atque elegans, et quo nihil, fi oratorio iatis fit docere, quseras perfe&ius. Nihil enim ed inane, nihil arceditum ; puro tamen font!, quam magno dumini, proprior.” Plutarch and Pho- tius relate, that 425 orations were formerly exhibited under the name of Lyfias; of which 34 only are now7 extant. The bed edition of them is by Dr John Taylor at London, 1739, 4to; Cambridge, 1740, 8vo. LYSIMACHIA, loosestrife, a genus of plants belonging to the pentandria clafs ; and in the natural method ranking under the 20th order, Rotaceev. See Botany Index. LYSIPPUS, a celebrated Greek datuary, was born at Sicyone, and fird followed the bufinefs of a lookfmith, which he quitted in order to praflife painting : But he afterwards applied himfelf entirely to fculpture ; in which he acquired an immortal re¬ putation, and made a great number of datues that were the admiration of the people of Athens and Rome. His grand datue of the Sun reprcfented in a car drawn by four horfes, was wordiipped at Rhodes. He made feveral datues of xViexander and his favourites, which w7ere brought to Rome by Metellus after he had redu¬ ced the Macedonian empire ; and the datue of a roan w iping and anointing himfelf after bathing, being par¬ ticularly7 excellent, was placed by Agrippa before his baths in that city. He lived in the time of Alexan- VOL. XII. Part I. 89 ] L Y T der the Great, about 334 B. C.; and left three funs, Lythrum who were all famous ftatuaries. LYTHRUM, purple loosestrife, a genus of Lytt^ton' plants belonging to the decandria clafs; and in the na¬ tural method ranking under the 17th order, Cahjcan- themce. See Botany Index. LYTTELTON, Edward, Lord Lyttelton, keep¬ er of the great feal in the reign of Charles I. was emi¬ nent for his probity and his moderation at the com¬ mencement of that monarch’s difputes with his fubje&s. Without forfeiting his fidelity to the king, he pre- ferved the elteem of the parliament till 1644, when he was made colonel of a regiment in the king’s army at York. He died in 1645. Befides feveral of his fpeeches which have been printed, he w-rote reports in the common pleas and exchequer, printed at Lon¬ don in 1603, in folio ; feveral arguments and did courfes, &c. Lyttelton, George Lord, eldeft fon of Sir Thomas Lyttelton, Bart, defcended from the great judge Lyt¬ telton, was born in 1700, at feven months; and the midwfife fuppofing him to be dead, threw him carelefs- ly into the cradle ; where, had not fome figns of life been taken notice of by one of the attendants, he might never have recovered. He received the elements of his education at Eaton-fchool, where he fhow7ed an early inclination to poetry. His paftorals and fome other light pieces were originally written in that femi- nary of learning ; from whence he was removed to the univerfity of Oxford, where he purfued his claffical fludies W'ith uncommon avidity, and iketched the plan of his Perfian Letters; a w'ork which afterwards pro¬ cured him great reputation, not only from the elegance of the language in which they were compofed, but from the excellent obfervations they contained on the manners of mankind. In the year 1728, he fet out on the tour of Europe ; and, on his arrival at Paris, accidentally became ac¬ quainted with the honourable Mr Poyntz, then our minifter at the court of Verfailles ; who was fo ftruck with the extraordinary capacity of our young travel¬ ler, that he invited him to his houfe, and employed him in many political negotiations, which he execut¬ ed with great judgement and fidelity. Mr Lyttelton’s conduft, while on his travels, w7as a leffon of inftruftion to the red of his countrymen. Inflead of lounging aw7ay his hours at the coffee-houfes frequented by the Englilh, and adopting the fafhion- able follies and vices of France and Italy, his time was paffed alternately in his library and in the fociety of men of rank and literature. In this early part of his life, he wrote a poetical epifile to Dr Ayfcough, and another to Mr Pope, which fhow fingular tafte and corre&nefs. After continuing a confiderable time at Paris with Mr Poyntz, who, to ufe his own words, behaved like a fecond father to him, he proceeded to Lyons and Geneva; and from thence to Turin, where he was honoured with great marks of friendihip by his Sardi¬ nian majefty. He then vifited Milan, Venice, Genoa, and Rome, where he applied himfelf cloffly to the ftudy of the fine arts ; and was, even in that celebrated metropolis, allowed a perfeft judge of painting, fculp¬ ture, and archite&ure. During his continuance abroad, h/e confiantly cor- O o refponded L Y T [ 290 ] L Y T Lyttelton, refponded with Sir Themas, his father. Several of his letters are yet remaining, and place his filial af¬ fection in a very diftinguilhed light. He foon after returned to his native country, and was elefted re- prefentative for the borough of Okehampton in De- vonfhire j and behaved fo much to the fatisfa£lion of his conftituents, that they feveral times re-ele&ed him for the fame place without putting him to the lead expence. About this period, he received great marks of friend- fhip from Frederic prince of Wales, father of his pre- fent majefty j and was, in the year 1737, appointed principal fecretary to his royal highnefs, and continued in the drifted intimacy with him till the time of his death. His attention to public bufinefs did not, how¬ ever, prevent him from exercifing Ins poetical talent. A mod amiable young lady, Pv'Iifs Fortefcue, infpired him wdth a paffion, which produced a number of little pieces, remarkable for their tendernefs and elegance j and he had a happy facility of driking out an extem¬ pore compliment, wThich obtained him no fmall (hare of reputation. One evening being in company with Lord Cobham and feveral of the nobility at Stowe, his lordihip mentioned his defign of putting up a bud of Lady Suffolk in his beautiful gardens ; and, turning to Mr Lyttelton, faid, “ George, you mud furnidi me with a motto for it.” “ 1 will, my lord,” an- fwered Mr Lyttelton j and direftly produced the fol¬ lowing couplet : Her wit and beauty for a court were made, But truth and goodnefs fit her for a lhade. When Mr Pitt, the late earl of Chatham, lod his commillion in the guards, in confequence of his fpirit- ed behaviour in parliament, Mr Lyttelton was in wait¬ ing at Lelceder-houfe, and, on hearing the circum- dance, immediately wrote thefe lines : Long had thy virtue mark’d thee out for fame, Far, far fuperior to a cornet’s name 5 This generous Walpole faw, and griev’d to find So mean a pod difgrace that noble mind •, The fervile dandard from thy free-born hand He took, and bade thee lead the patriot band. In the year 1742, he married Lucy, the daughter of Hugh Fortefcue, Efq. of Filleigh in the county of Devon, the lady above-mentioned, whofe exemplary conduft, and uniform praftice of religion and virtue, edablidied his conjugal happinefs upon the mod folid balls. In 1744, he was appointed one of the lords com- miffioners of the treafury •, and, during his continuance in that dation, condantly exerted his influence in re¬ warding merit and ability. He was the friend and patron of the late Henry Fielding, James Thomfon author of the Seafons, Mr Mallet, Dr Young, Mr Hammond, Mr Wed, Mr Pope, and Voltaire. On the death of Thomfon, who left his affairs in a very embarraffed condition, Mr Lyttelton took that poet’s fider under his proteftion. He revifed the tragedy of Coriolanus, which that writer had not put the lad hand toy and brought it out at the theatre-royal, Covent-garden, with a prologue of his own writing, In which he fo affeftingly lamented the lofs of that delightful bard, that ngt only Mr Quin, who fpoke the lines, but almod the whole audience, fpontaneoufly Lyttelton, burd into ears. L“ v**-— In the beginning of the year 1746, his felicity was interrupted by the lofs of his wife, who died in the 29th year of her age ; leaving him one fon, Thomas, the late Lord Lyttelton ; and a daughter, Lucy, w-ho fome time fince married Lord Vifcount Valentia. The remains of his amiable lady were depofited at Over- Arley in Worceflerfliire j and an elegant monument was erefted to her memory in the church of Hagley, which contains the following infeription written by her hudrand : Made to engage all hearts, and charm all eyes : Tho’ meek, magnanimous ; tho’ witty, wife j Polite, as all her life in courts had been 5 Yet good, as die the world had never feen ? The noble fire of an exalted mind, With gentled female teadernefs combin’d. Her fpeech was the melodious voice of love, Her fong the warbling of the vernal grove. Her eloquence was fweeter than her fong, Soft as her heart, and as her reafon drong. Her form each beauty of her mind exprefs’d, Her mind was virtue by the Graces drefs’d. Befides thefe beautiful lines, Mr Lyttelton wrote a monody on the death of his lady, which will be re¬ membered while conjugal affeftion and a tade for poetry exifl in this country. His maderly obfervations on the converfion and apodleflrip of St Paul, wrere written at the defire of Gilbert Wed, .Efq. in confequence of Mr Lyttelton’s afferting, that, befide all the proofs of the Chridian religion, w7hich might be drawn from the prophecies of the Old Tedament, from the neceffary connec¬ tion it has with the whole fyfiem of the Jewifli religion, from the miracles of Chrid, and from the evidence given of his refurreftion by all the other apoflles, be thought the converfion of St Paul alone, duly confidered, w’as of itfelf a demondration fuflicient to prove Chridianity to be a divine revelation. Mr Wed was druck with the thought : and allured his friend, that fo compendious a proof would be of great ufe to convince thofe unbelievers that will not attend to a longer feries of arguments ; and time has drown he w’as not out in his coniefture, as the traft is edeemed one of the bed defences of Chridianity which has hi¬ therto been publiflred. In 1754, he refigned his office of lord of the trea¬ fury, and was made cofferer to his majedy’s houfe- hold, and fworn of the privy-council : previous to which, he married, a fecond time, Elizabeth daughter of Field-marlhal Sir Robert Rich; whofe indifereet con¬ duft gave him great uneafinefs, and from whom he was feparated, by mutual confent, a few years after his marriage. After being appointed chancellor and under trea- furer of the court of exchequer, he was, by letters^ patent dated the 19th of November 1757, 31 Geo. II. created a peer of Great Britain, by the dyle and title of Lord Lyttelton, baron of Franhley, in the county of Worcefler. His fpeeches on the Scotch and mutiny bills in the year 1747, on the Jew bill in 1753» and on the privilege’ of parliament in 1763, (bowed found judgement, powerful eloquence, and inflexible inte- Lvtte’ton. L Y T [ 291 ] L Y T ority. During the laft ten years he lived chiefly fn retirement, in the continual exercife of all the virtues which can ennoble private life. His laft work was Dialogues of the Dead, in which the mo¬ rality of Cambray and the fpirit of Fontenelle are hap¬ pily united. He was fuddenly feized with an inflammation of the bowels, in the middle of July i773> at ^eat at Hagley j which terminated in his death, on the 22d of that month. His laft moments were attended with Lytt ten. unimpaired underftanding, unaffected greatneis of * v mind, calm refignation, and humble but confident hopes in the mercy of God. As he had lived univerfally efteemed, he died lamented by all parties. A complete colleffion of his works has been pub- lilhed fince his deceafe, by his nephew George Ayf- cougkj Efq. M. M TV'f a liquid confonant, and the twelfth letter in , lj lti.5 t-ke alphabet. RTabnlon. _ ^ ^ ^ unvaried found, and is pronounced by ftriking the upper lip again ft the lower •, in which the pronunciation of this letter agrees with that of £;.the only difference between the two confifting in a little motion made in the nofe in pronouncing m, and not in b : whence it happens that thofe who have taken cold, for m ordinarily pronounce b ; the nofe in that cafe be¬ ing difabled from making the neceffary motion. All confonants are formed with the aid of vowels j in cm the vowel precedes, in be it follows j and m is never mute. Quintilian obferves, that the m fometimes ends Latin words but never Greek ones; the Greeks always changing it in that cafe into w, for the fake of the bet¬ ter found. M is alfo a numeral letter, and among the ancients was ufed for a thoufand ; according to the verfe, M caput ejl numeric quern feimus tnille teneri. When a dafh is added to the top of it, as m ; it fig- nifies a thoufand times a thoufand. M, as an abbreviature, Hands for Manlius, Marcus, Martius, and Mucius: M. A. fignifies magijlcr artium, or mafter of arts ; MS. manufeript, and MSS. manu- feripts. M, in aftronomical tables, and other things of that kind, is ufed for meridional or fouthern ; and lometimes for meridian or mid-day. M, in medicinal prefeription, is frequently ufed to fignify a maniple or handful ; and it is fometimes alfo put at the end of a recipe, for mifee “ mingleor for mixtura “ a mixture.” i hus m. f. julapwm, fignifies . “ mix and make a julep.” M, in Law, the brand or ftigma of a perfon convict¬ ed of manilaughter, and admitted to the benefit of his clergy. It is to be burnt on the brawn of his left thumb. MAAT, John. See Blankof. MABILLON, John, a very learned writer of France in the 17th century, was born at Perremonte, on the frontiers of Champagne, in 1632. He was educated in the univerfity of Rheims, and afterwards entered into the abbey of the Benediftines of St Remy. In the year 1663, he was appointed keeper of the treafures and monuments of France at St Dennis : but Macaco having unfortunately broke a looking glafs there, _Vjacfi.;ari3 which was pretended to have belonged to Virgil, he defired leave of his fuperiors to quit an employment w’hich frequently obliged him to tell things he did not believe. Next year he went to Paris ; and was very ferviceable to Father d’Acheri, w7ho w7as defirous of having fome young monk who could aflift him in com¬ piling his Spici/egium. This made him known. Soon after, the congregation of St Maur having formed a defign of publiihing new editions of the fathers, re- vifed from the MSS. in the libraries of the Benedic¬ tines, Mabillon was charged with the edition of St Bernard, which he prepared with extraordinary dili¬ gence. After that, he publiftied many other wmrks, which are evidences of his vaft capacity and induftry. In 1682, he was employed by Mr Colbert in examin¬ ing fome ancient titles relating to the royal family. The year following he fent him into Germany, to fearch the archives and libraries of the ancient abbeys, for what was moft curious and proper to illuftrate the hiftory of the church in general, and that of France in particular. He has publiftied an account of this journey. In 1685, he undertook another journey into Italy, by order of the king of France ; and re¬ turned the year following with a very noble coliedlion. He placed in the king’s library above 3000 volumes of rare books, printed and in MSS. and compofed twa volumes of the pieces which he had difeovered in that country. He was highly efteemed for his virtues as well as his learning. MACACO, or Macauco. See Lemur, Mamma¬ lia Index. MACAO, a town of China, in the province of Canton, feated in an ivland at the mouth of the river Tae. The Portuguefe have been in poffeflion of the harbour for 150 years. Formerly they had a great trade here ; but now they have only a fort with a fmall garrifon. The houfes are built after the European manner ; and there is a Chinefe mandarin, as well as a Portuguefe governor, to take care of the town and the neighbouring country. £. Long. 112. 13. N. Lat. 22. 12. Macao. See Psittacus, Ornithology IndeM. MACARIANS, in ecclefiaftical hiftory, the fol¬ lowers of Macarius, an Egyptian monk, who was di- O o 2 ftinguiftied / M AC [29 ftiiigunacd towards the dofe of the fourth century for his fandity and virtue. In his writings there are feme 7 aiia virtue, in tus writings there are iome fuperilitious tenets, and alfo certain opinions that feem tainted with Origenifm. L !ie name has been alfo ap¬ plied to thofe who adopted the fentiments of Macarius a native ol Ireland, r.'ho about the clofe of the ninth century, propagated in France the error afterwards maintained by Averrhoes, that one individual intelli¬ gence or foul performed the fpiritual and rational fundions in all the human race. MACARONI. See Folengio, and the next article. MACARONIC, or Macaroniak, a kind of bur- lefque poetry, confiding of a jumble of words of differ¬ ent languages, with words of the vulgar tongue La¬ tinized; and Latin w'ords modernized. Macaroni among the Italians, as has been obferved by Ccelius Rhodiginus, fignifies a coarfe c/owni/h man ; and be- caufe this kind of poetry is patched out of feveral languages, and full of extravagant words, &c. the Italians, among whom it had its rife, gave it the name of macaronian cr macaronic poetry. Others choofe to derive it a macarombus, from macaroons, a kind of confection made of meal not boulted, fweet almonds, iugar, and the white of eggs, accounted a great dainty^ among the countiy people in Italy ; which, from tneir being compofed of various ingredients, oc- eafioned this kind of poetry, which con fills of Latin, Italian, Spanifh, French, Englifh, &c. to be called by their name. Example.—A bold fellow in the macaronic flyle, fays, Enjilavt omnes fcadrones et regimandos, &c. Another example: jtrchelos piftoliferos furiamque manantum, Et grandem efmeutam qua: inopinum facia ruelle cji : Toxinumque alto troub/antem corda clochero, &c. Theoph. Folengius, a Benediftine monk of Mantua, was the firil who invented, or at lead cultivated, this kind of verfe. See Folengio. The bell pieces of this kind are, the Baldus of Fo¬ lengio, and Macaronis Forza by Stefonio a Jefuit, among the Italians ; and the Reatus veritabilis, fuper terribih efmeuta paifanarum de Ruelhs; among the French. I he famous Rabelais firil transferred the macaronic llyle out of the Italian verfe into French profe : and on the model thereof formed fome of the Lei.t things in his Pantagruel. We have litile in Englifh in the macaronian w^ay ; nothing fcarce, but fome little loofe pieces collected in Camden’s remains. But the Germans and Netherlanders have had their macaronic poets; witnefs the Ctrtamen Catholicism cum Calvini/iis, of one Martinius Hamconius Frifius, which contains about 1200 verfes, all the words whereof be¬ gin with the letter C. MACARSKA, a town of Dalmatia, and capital of Primogria, with a pretty good harbour, and a bi- Ihop’s fee, feated on the gulf of Venice. E. Long. 17. 57. N. £at. 43. 42. MACASSAR, a confiderable kingdom of the ifland of Celebes, in the Eall Indies. The climate is very hot; and would be intolerable,^ were it not for the rains which fall when the fun is djueftly over their ^ ] M A C heads. . The foil is extremely fertile, and there are ripe fiuits at all times of t*ie year. There are great numoers of monkies, who are devoured by nionflruus ferpents; fome of which are fo large, that they will fwallow one of thefe animals entire. The Macaffars are large, roouft, courageous, and greatly addiffed to war. They profefs the Mahometan religion. Macassar, a large, lining, and handfome town, o* the illand of Ceieoes, and capital of the kingdom of the fame name, where the king relides. The homes are all built of wood, and flipported by thick polls; and tney 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¬ dom from north to fouth. E. Long. 117. r j. S. Lat. j. o. Macassar Poifon, in Natural Hi/lory, called ippo in the Macaffar and Malayan tongue, is the gum of a cer¬ tain tree, Aiming, brittle, black, and every way like Hone pitch, growing in the ifland of Celebes, in the South feas ; with which all the natives arm themfelves in travel, having a long hollow trunk of a hard red wood like bralil, accurately bored, and at one end is fixed a large lance-blade of iron. Then they make a fmall arrow, very ftraight, and fomewhat bigger than a large wheaten draw': 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 exaflly, that the air may net pafs by, but again!! it, in order to carry it with the greater force. At the other end they fix in it either a fmall filh-toeth 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 flick it firm therein, which they anoint with poifon. The poi- fonous gum, when gathered, is put into hollow bam¬ boos or canes, flopped up very clofe, and thus brought to Macaffar. When they fit it for ufe, they take a piece of fmooth turtle-fliell, and a flick cut flat and fmooth at the end : then they take green galangal root, grate it, and with the addition of a little fair water, prefs the juice into a clean china difli : then with a knife feraping a little of the poifon upon the ftiell, dip the end of the flick in the forementioned liquor, and with this diflolve the poifon to the confiftence of a fyrup : when this is done, they anoint the fifli-tooth or wooden blade with the fame flick, and lay it in the fim, fo that it may be baked hard. The pointed arrows thus pre-- pared, are put in hollow bamboos, clofe fliut, and in this ftate they retain their virtue for a month. MACCABEUS, Judas. See Judas. MACCABEES, two apocryphal books of feripture, containing the hiftory of Judas and his brothers, and their wars again!! the Syrian kings in defence of their religion and liberties, fo called from Judas Mattathias, furnamed Maccabccus, as fome fay from the word "bua, formed of the initials of mrr obio rrana -n, q. d. Who is like unto thee, 0 Ford, among the gods ; which was the motto of his ftandard ; whence thofe who fought under his ftandard were called Maccabees, and the name was generally applied to all who buffered in the caufe of MacalTar II Maccabees. MAC [ 293 J M A C Maccabees, of the true religion, under the Egyptian or Syrian Macbeth, kings. The firtl book of the Maccabees is an excel- U^v“"—' lent hiilory, and comes neareft to the ftyle and manner of the facred hidorians of any extant. It was written originally in the Chaldee language, of the Jerufalem dialecf, and was extant in this language in the time of Jerome. From the Chaldee it was tranllated into Greek, from the Greek into Latin. It is fuppofed to have been written by John Hyrcanus the fon of Si¬ mon, who was prince and high pried of the Jews near 50 years, and began his government at the time where this hiftory ends. It contains the hidory of 40 years, from the reign of Antiochus Epiphanes to the death of Simon the high pried : that is, from the year of the world 382910 the year 3869*, 131 years before Chrid. The i’econd book of the Maccabees begins with two epidles fent from the Jews of Jerufalem to the Jews of Egypt and Alexandria •, to exhort them to obferve the fead of the dedication of the new altar ere£Ied by Judas on his purifying the temple. The firft was written in the 169th year of the era of the Se- leucidae, i. e. before Chrid 144 5 and the fecond in the 188th year of the fame era, or 125 before Chrid j and both appear to be fpurious. After thefe epidles follows the preface of the author to his hidory, which is an abridgement of a larger work, comoofed by one Jafon, a Je w of Cyrene, wdro wrote in Greek the hi- ftory of Judas Maccabeus and his brethren, and the wars againd Antiochus Epiphanes, and Eupator his fon. The fecond book does not by any means equal the accuracy and excellency of the fird. It contains a hidory of about 15 years, from the execution of Heliodorus’s commidion, 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 Chrid. There are in the Polyglot Bibles, both of Paris and London, Syriac verdons of both thefe books j but they, as well as the Engliih verfions which w-e 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 hidory of the perfecu- tion of Ptolemy Philopator againd the Jews in E- gy pt, and their fufferings under it 5 which feems to have been written by fome Alexandrian Jew in the Greek language, not long after the time of Siracides. It is in mod of the ancient manufcript copies of the Gieek Septuagaint j particularly in the Alexandrian and Va¬ tican, but was never inferted into the vulgar Latin verdon of the Bible, nor confequently into any of our Englifh copies. Moreover, Jofephus’s hidory of the martyrs that fuffered under Antiochus Epiphanes, is found in fome manufcript Greek Bibles, under the name of the fourth book of the Maccabees. MACBETH, a Scots nobleman in the 1 ith cen¬ tury, nearly allied to Duncan king of Scotland.— Not contented with curbing the king’s authority, he carried his pedilent ambition fo far as to put him to death ; and, chadng Malcolm Canmore his fon and heir into England, ufurped the crown. Siward earl of Northumberland, whofe daughter Duncan had mar¬ ried, undertook, by the order of Edward the ConfetTor, the proteftion of the fugitive prince.—He marched with an army into Scotland j defeated and killed Macbeth ; and redored Malcolm to the throne of his anceftors. Macbride. Shakefpeare has made this t ran faction the fubjeit of one " v of his bed tragedies. MACBRIDE, D:i 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 lad century, as minider to a Prelbyterian congregation at Belfad ; and his father, who followed the fame line, was fettled at Bullymony in the county of Antrim, w’here he married, and where our author was bom in April 1726. After a proper fchool-educs- tion, and having pafled fome time under the tuition of an eminent furgeon in his native place, he was fent to the univerfity of Glafgow. Having there completed the ufual courfe of academical Iludies, he came to Edinburgh for the further profecution of medical fci- ence. After a diort day here, a war then prevailing between France and Britain, he was induced to go on board the navy in the dation of a furgeon’s mate. In the fervice of his country he continued for feveral years j and after difcharging for fome time the duties of an adidant, he was raifed to the rank of furgeon. In this dtuation, he fird 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 fuggeded to him the employment of an article which has lince been attended with the mod beneficial confequences. Here he had an opportunity only of ob- ferving the fymptoms, of ftudying the nature, and of la¬ menting the confequences, of the difeafe. The termination of the war by the peace of Aix-la- Chapelle put a period 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 dill much to acquire in that of fcience. An ardent keennefs to mingle in atiive life had led him from the fchools of medicine at an earlier period than could have been wiihed ; and an earned defire to found his future pradtice in the bed eRablidied principles led him back to them, when a judgement, matured by years, and informed from the observation of fadts, 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 indrudlions to be had from any one fet of profeflbrs, the celebrity of the medical teachers in London led him alfo to vifit that capital. There he particularly became the pupil of thofe diftinguifhed ledlurers, 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 midwifery confidered as a fcience. At the fame time he was no lefs induf- trious in improving himfelf in the fuccefsful practice of both arts by attention at hofpitals. Thus prepared for the exercife of his profeffion, about the end of the year 1749 he fixed his refidence in Dublin in the character of furgeon and accoucheur. If amiable manners, and extenfive knowledge of his profeflion, could alone have been fufficient introduc¬ tions to praflice, he might in a fiiort time have look- MAC [ 294 ] Macbride.^ ed for a competent fliare of bufinefs in that capital ; f ^ but while he had to combat that obje61ion which very generally arifes from youth, his progrefs was alfo not a little retarded by an uncommon degree of modelty. Hence for feveral years he remained almoft in a dale 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 profeihon as was due to nis merit, it ought ilill to be remembered, that this ef- fentially. promoted the caufe of fcience : for by this means his genius and induflry were directed to medical refearches ; and were produftive of difcoveries which will with honour tranfmit his name to lateft pofterity. Thefe, though fome of them might have been fuccefs- fuily turned to his orvn emolument, were freely com¬ municated to the world in ditferent publications ; and he did not {how greater ingenuity in making difco¬ veries, than liberality of fentiment in publifhing them for the advantage of others.—His firft publication, entitled, “ Experimental Effays on Medical and Phi- lofophical Subjects,” made its appearance in the year 1764-—Thefe effays are five in number: 1. On the fermentation of alimentary mixture and the digeftion of the food. 2. On the nature and properties of fixed air. 3. On the different kinds of antifeptics. 4. Of the diflblvent power of quicklime. 5. Of the fea-fcur- vy. The merit of all thefe is fufficiently known and acknowledged : but the laft of them is unqueftionably the moft important \ the method therein propofed of both the prevention and cure of that dreadful difeafe, the fcurvy, having been confirmed by repeated and un¬ deniable obfervation. _ Having thus equally diftinguilhed himfelf as an inge¬ nious philofopher and able pradlitioner, the world were not now flow in bellowing upon him the tribute of ap- plaufe to which he was entitled. His name was enrol¬ led with honour in the lifts of many learned focieties *, aad the univerfity where his ftudies had firft been com¬ menced, W'ere proud to confer upon him the degree of dodftor of medicine. The reputation, however, of being a diftinguiftied author, was to him but a fecondary objedl j and his talents wTere not confined to the advancement of medi¬ cine alone. Having fuccefsfully difcovered a confider- able improvement in the art of tanning, with that fpirited generofity which is ever the concomitant of real w'orth, he fpeedily and freely communicated it to the public, by publifning, firft, “ An Account of a New Method of Tanning and afterwards, “ Inftruc- tions for carrying on the New Method of Tanning.” As a mark of approbation for this liberal condudl, as well as a teftimony of refpett for his ingenuity, prize- medals were conferred upon him by the Societies of Arts both in London and Dublin. But his laft and moft extenfive publication w?as more immediately in the line of his own profefiion : It is entitled, “ A Me¬ thodical Introduftion to the Theory and Pra&ice of Medicine. * In that valuable work he has given a concife and connefled view of the principles and prac¬ tice of the healing art, as beft eftablifhed by found reafon, and confirmed by accurate obfervation. Moft, if not all, of thefe publications, not only went through various editions, but were tranflated into different lan¬ guages. MAG After the merit cr Dr hlacbride came to be proper- Nacbrkle ly known, the public feemed to (how a defire of mak- „ il ing compenfation for having fo long overlooked it. Mace' His employment increafed fo rapidly, that he had more bufinefs than he could tranfatl either with cafe or fafe- ty. 1 his 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 fituat on, after accidental expofare to cold, he w7as attacked with a fever, which put an end to his life on the 13th of De¬ cember 1778, in the 53d year of his age. Thofe who w^ere his moft intimate acquaintance wrere inclined to believe that his death wTas not a little haftened by domeftic calamities. During his refidence in Dublin he w'as twice married, and was as often lub- jedled to that inexpreflible diftrefs which muft refult from a final feparation in this world from the moft inti¬ mate and loving friends. By both of his wuves 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 ftiock 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 import¬ ant fubje&s : an incontrovertible proof, that in him at leaft, the great mind of the philofopher was conjoin¬ ed with the feeling heart of the affeilionate father. But if his abilities were remarkable as a philofopher and phyfician, if his conducl wTas exemplary as a huf- band and parent, his manners w’ere no lefs amiable as a companion and friend. His polite and benevolent condud, joined to his tafte for the fine arts, conciliated the affections and eiteem of all who knew him. His death was univerfally and fincerely lamented in the city of Dublin. MAT CLESFIELD, a town of Cheftiire in Eng¬ land, i 71 miles from London, is feated on the edge of a foreft of the fame name, upon a high bank near the river Bollin j and is a large handfome town, with a fine church and a very high fteeple. It was ereCled into a borough by King Edward III. is governed by a mayor, and enjoys great privileges and jurifdiClions by 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. In Macclesfield fo¬ reft are many pits dug for the fake of the turfj in which it is common to find fir-trees buried, which are dug up for various ufes, but chiefly for fplinters that ferve the poor for candles. W. Long. 2. 10. N. Lat. 53- I5* MACE, an ancient weapon, formerly much ufed by the cavalry of all nations. It was commonly made 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 mayor of London knocked the rebel Wat Tyler from off his horfe in Smithfield for approaching the young KingRichard II. in an iniolent manner 5 and as he fell, he dilpatehed him with his dagger. The mace in modern times changed its form \ and being no longer a wTar inftru- ment, is made of copper or iilver gilt, ornamented with Mace, Macedor. Situation, See. of thej country. 2 Different names. 3 Kingdom founded by Caranus. MAC [ 295 a crown, glebe, and crofs, and is now tbe cbicf infignia ii of authority throughout Great Britain. Similar to the ancient maces, were thofe fiaves at the end of which iron or leaden balls armed with fpikes were fuf- pended by chains : they were tiB 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, mem¬ branaceous fubllance, of a yellowish colour 5 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, aromatic, and agreeable flavour 5 and of a pleafant, but acrid oleaginous tafle. See Ma¬ teria Medic a Index. MACEDON, or Macedonia, a moft celebrated kingdom of antiquity, was bounded on the eaft by the /Egean fea ; on the fouth by Theffafy and Epirus ; on the weft by the Ionian fea or Adriatic ; on the north, at firft by the river Strymon and the Scardian mountains, but afterwards by tbe river Nefius or Nef- tus. In a direft line the whole country extended only 150 miles in length •, but the windings of the coaft lengthened it out to three times that extent ; in which almoft every convenient fituation was occupied by a Grecian fea-port. The country rvas naturally divided by the Thermaic and Strymonic gulrs, into the provinces of Pieria, Chalcis, and Pangmus. 1 he middle region, which took its name from a city of Euboea from whence it was originally peopled, was very fertile and pleafant; the inland country, being diverfified 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 diftridl were the mountains of Pangaeus, and on the other the plains of Pieria. The Pangtean mountains, which extended 90 miles towards the eaft and the river Neffus, though proper neither for corn nor pafture, produced plenty of timber for ftfip-build- ing j while the fouthern branches of the mountains contained rich veins of gold and filver } but thefe, though wrought fucceffively by the Thafians and the Athenians, were only brought to perfeftion by Philip of Macedon, who extrafled from them gold and filver to the value of 200,000!. fterling annually. Pieria ex¬ tended 50 miles along the Thermaic gulf, to the confines of Theffaly and Mount Pindus. The inland part of the country was beautifully diverfified with fhady hills and fountains; and fo admirably calculated for folitary walks and retirement, that the ancients looked upon it to be the favourite haunt of the Mufes, and accordingly bellowed upon them the title of Pie- rides. In the moft early times this country was called JE.ma- thia, from JEtnathius one of its princes. The name of Macedon is faid to have been derived from Macedo a defeendant of Deucalion •, though others fuppofe it to have been only a corruption of Mygdonia a diftriit 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 time. All authors agree, however,, that was the firft who eftablffhed any permanent fovereignty ] MAG in Macedon. He was an Argive, a defeendant of Macedon., Hercules, and about 800 years B. C. conduced a ' ^ fmall colony of his countrymen into the inland diftriil of Macedon, at that time diftinguiftied by the name of JE/nathia 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 5 and on the north, eaft, and weft, was lurrounded by the barbarous kingdoms of Thrace, Poeonia, and lilyricum. 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 efta- blifhment of his empire. For fome time he proceeded at random, without knowing what to make of the ora¬ cle’s anfwer j but happening to enter the fmall kingdom- of JEmathia, at that time governed by King Midas, he obferved a herd of goats running towards EdeJJa the capital. Recolle£ling then the anfwer of the oracle, he attacked and took the city by furprife, foon after making himfelf mafter of the whole kingdom. In me¬ mory of this remarkable event he called the city lEgea, and the people JEgiates, from the goats who conduced him, and made ufe of the figure of a goat in his ftand- ard. From this fable alfo we fee why the figure of a goat is fo frequently feen on the coins of Philip and his fucceffors. 4 The little colony of Argives led into Aimathia by Policy of Caranus would foon have been overwhelmed by the t!lis Pnncc> barbarous nations who furrounded it, had not this prince and his fubjefts taken care to ingratiate themfelves with their neighbours, rather than to attempt to fubdue them by force of arms. They inftrufted 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 to them in return fome part of the Grecian civiliza¬ tion and polite behaviour. Thus they gradually affo- ciated with the fierce and warlike tribes in their neigh¬ bourhood 5 and this prudent conduff, being followed 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 Cosnus; who having confiderably enlarged his dominions, was fucceeded by Thurymas, 5- and he by Perdiccas I. This laft prince is by Thucy-Perdiccas I. dides and Herodotus accounted the founder of the Ma-ace'e^rjate<^ cedonian monarchy j though his hiftory is fo obfeuredmcmal by fable, that nothing certain can now be known con¬ cerning it. In procefs of time, however, the good un- derftandiug which had fubfifted between the Macedo¬ nians and their barbarous neighbours began to fuffer an interruption ; and in 691 B. C. the kingdom was for the firft time invaded by the Illyrians. At firft they ^ did confiderable damage by their ravages ; but the Ma- ',T; cedonian monarch, Argseus, having decoyed them intorjans. an ambufh, cut off great numbers, and obliged the re¬ mainder to leave the kingdom. In the reigns of his fucceffors, however, they returned, and occafionally proved very troublefome enemies till the reigns of Phi¬ lip and Alexander. int-rffr In the mean time the kingdom of Macedon began toenCe 0f the be affected by thofe great events which took place Periians in other parts of.the world. Cyrus having overthrown and Mace- the donians.» MAC [2 Macedon. the Babylonian empire, and conquered all the weftern part of Alia, eftablidied a mighty monarchy, which threatened all the eaflern parts of Europe with fub- jugation. The Greeks, however, having now emerged from their barbarifm, and acquired great knowledge in the art of war, w^ere able to refill; effectually this very formidable power,*, but the kingdom of Macedon, oblcure and unconnected, was obliged to yield, and though not formally made a province of the Perfian empire, was neverthelefs accounted in fome fort as un¬ der the vaflalage and protection of the Perlians. Al- cetas, who afcended the Macedonian throne about the time that the Perlian monarchy was founded, had the dexterity to preferve his dominions from the encroach¬ ments of the Greeks on the one hand, and of the Per- hans on the other; but in the reign of his fucceiTor Amyntas, a formal demand was made of fubmitlion to the great king Darius, by fending him a prefent of earth and water. Seven ambafladors were fent on this errand by Megabizus, one of the officers of Darius. They were fumptuoufly entertained by Amyntas j but having attempted to take fome indecent liberties with the Macedonian women, Alexander the king’s fon cauftd them all to be murdered. This raffi aftion had almoft proved the ruin of the kingdom *, but Alexander found means to pacify Bubaris the general fent againft him by Megahizus, by ffiowing him his filler Gygaea, a very beautiful woman, with whom the Perfian fell in love at firll fight, and afterwards married S her. Advan- From this time the Macedonians were accounted in^ToM™'the faithful allies of the Perfians *, and, through the cedonfrom interell of his fon-in-law, Amyntas obtained the coun- this inter- try in the neighbourhood of Mount Hcemus and Olym- ference. pUSj at the fame time that the city of Alabanda in Phry¬ gia was given to Amyntas the nephew of Alexander. The Macedonians dillinguiffied themfelves in the time of the Perfian invafion of Greece, by furnifhing their allies w ith 200,000 recruits; though fome cities, par¬ ticularly Potidsea, Olynthus, and Pallene, adhered to the Grecian intereft. The twro lalt were taken and rafed, and the inhabitants mafiacred by the Perfians j but Potidaea efcaped by reafon of the fea breaking into the Perfian camp, wffiere it did great damage. Alexander, however, afterwards thought proper to court the favour of the Greeks by giving them intel¬ ligence of the time wffien Mardonius defigned to attack them. The remaining tranfadlions of this reign are entirely unknown, farther than that he enlarged his dominions to the river Neflus on the call and the Axius 9 on the weft. JB,eign of Alexander I. was fucceeded by his fon Perdiccas II. PerdiccasII according to Dr Gillies, “ inherited his father’s abilities, though not his integrity.” But from his du¬ plicity above mentioned both to Greeks and Perfians, it does not appear that he had much to boaft of as to the latter quality. In the Peloponnefian war he efpoufed the caufe of the Spartans againft the Athe¬ nians, from whom he wras in danger by reafon of their numerous fettlements on the Macedonian coaft, and their great power by fea. For fome time, however, he amufed the Athenians with a ffiow of friendlliip ; but at laft, under pretence of enabling Oiynthus and fome other cities to recover their liberties, he affifted yn deftroying the influence of the Athenians in thofe 3 96 ] MAC places, in hopes of eftabliihing that of the Macedo- Macedon, nians in its ftead. But this defign failed of fuccefs ; the w~v——■ Olynthian confederacy was broken, and the members of it became fubject to Sparta, until at laft, by the mis¬ fortunes of that republic, they became iufficiently power¬ ful not only to refift the encroachments of the Macedo¬ nians, but to make cenfiderable conquefts in their country. I0 Perdiccas II. was fucceeded about 416 B. C. by Of Arche- Archelaus I. Pie enlarged his dominions by the con-^ausP queft of Pydna, and other places in Pieria, though his ambition feems rather to have been to improve his do¬ minions than greatly to extend them. He facilitated the communication between the principal towns of Ma¬ cedon, by cutting ftraight roads through moft part of the country : he built walls and fortreiles in fuch places as afforded a favourable fituation ; encouraged agricul¬ ture and the arts, particularly thofe fubfervient to war j formed magazines of arms *, raifed and difeiplined a confiderable body of cavalry $ and in a word, fays Df Gillies, added more to the folid grandeur of Macedon than had been done by all his predecelfors put together. Nor wras he regardlefs of the arts of peace. His palace was adorned by the works of Grecian painters. Euri¬ pides was long entertained at his court *, Socrates was earneftly foliated to live there, after the example of this philofophic poet, formed by his precepts and che- rithed by his friendfhip : men of merit and genius in the various walks of literature and fcience were invited to refide in Macedon, and treated with diftinguiftied re¬ gard by a monarch duly attentive to promote his own glory and the happinefs of his fubjefts.” 11 This great monarch died after a reign of fix years, The king- a fpace by far too fhort to accomplifh the magnificent dom be- projefts he had formed. After his death the k!ng-comes a . dom fell under the power of ufurpers or weak and^^j^,^’ wicked monarchs. A number of competitors con- flons, ftantly appeared for the throne j and thefe by turns called in to their affiftance the Thracians, Illyrians, Theffalians, the Olynthian confederacy, Athens, Sparta, and Thebes. Bardyllis, an aflive and daring chief, who, from being head of a gang of robbers, had be¬ come fovereign of the Illyrians, entered Macedon at the head of a numerous army, depofed Amyntas II. the father of Philip, and fet up in his place one Argasus, who confented to become tributary to the Illyrians. Another candidate for the throne, named Paufanias, was fupported by the Thracians; but, by the affiftance of the Theffalians and Olynthians, Amyntas was ena¬ bled to refume the government. After his reftoration, however, the Olynthians refufed to deliver up feveral places of importance belonging to Macedon which A- myntas had either intrufted to their care, or which they ^ had taken from his antagonift. Amyntas complained war to Sparta 5 and that republic, which had already form-the Olyn- ed fchemes of very extenfive ambition, fo readily com-thians. plied with the requeft, that it was generally fuppofed to have proceeded from Spartan emifTaries fent into Mace¬ donia. They pretended indeed to hefitate a little, and to take time to deliberate on the army winch ought to be raifed for the purpofe ; but Cleigenes, the principal ambaffador, reprefented the urgency of the cafe in fuch a manner, that the troops which happened at that time to be ready were ordered to take the field without delay. Two thoufand Spartans, under the command MAC [ 297 ] MAC Macedon. command of Eudamidas, were ordered Into Macedon, mit on very humiliating conditions. They formally re- —V while a powerful reinforcement under the command nounced all claim to the dominion ot Chalcisj they ^ of P'oebidas, brother to the general, was ordered to ceded the Macedonian cities to their ancient governor } The oly,. follow him as foon as polTible. " By accident, Phoebidas and in confequence of this Amyntas left the city of JE- thians obli- and his auxiliaries were detained till the feafon for ac- gaea or Edeffa, where till now he had held his royal ^ed to k b- tion was paffed j but Eudamidas with his fmall army refidence, and fixed it at Pella,_ a city of great rtrenqth ■ ■ ^ performed very effential fervice. The appearance of a and beauty, fituated on an eminence, which, together Pella made Suartan army at once encouraged the fubjecfs and allies with a plain of coniicierable extent, was defended oy t ,e a., ital of the Olynthians to revolt j and the city of Potidaea, imnaffable moraffes, and by the rivers \xius and Ly-ofMace- a place of great importance in the ifthmus of Pallene, dias. It was dhiant about 15 miles from the /Egean furrendered foon after his arrival in the country. Be- fea, with which it communicated by means of the above- ing too much elated with his fuccefs, however, Euda- mentioned rivers. It was originally founded by the midas approached fo near the city of Olynthus, that he Greeks, who had lately conquered and ; eopled it *, but was unexpectedly attacked, defeated, and killed, in a in confequence ot the misfortunes of Olynthus, it now fally of the citizens. He was fucceeded by Teleutias became the capital of Macedon, and continued ever af- the brother of Agefilaus, who had under his command ter to be to. a body of 10,000 men, and was farther aflifted by A- Amyntas, thus fully eftabliflied in his dominions, myntas king of Macedon, and Derdas his brother, the continued to enjoy tranquillity during the remaining governor or foverdgn of the moft wefterly province of part of his life. The reign of his fon Alexander was Macedon, which abounded in cavalry. By thefe for- Ihort, and difturbed by invafions ^ of the Illyrians j midable enemies the Olvnthians were defeated in a from whom he was obliged to purchafe a peace. ^ He number of battles, obliged to (hut themfelves up in their left behind him two brothers, Perdiccas and Philip, 1S city, and prevented from cultivating their territory ; on both Very young ; fo that Paufanias again found means Paufamas which Teleutias advanced with his whole forces t» in- to ufurp the throne, being fupported not only by the Veil the city itfelf. His exceflive eagernefs to deflroy Thracians, but a confiderable number of Greek mer- his enemies proved his ruin. A body of Olynthian cenaries, as well as a powerful party in Macedon it- horfe had the boldnefs to pafs the river Amnias in fight felf. In this critical jundure, however, _ Iphicrates of the allied army, though fo much fuperior in number, the Athenian happening to be on an expedition to Am- Teleutias ordered his targeteers to attack them, the phipolis, was addreffed by Eurydice the widow of Olynthians, having retreated acrofs the river, were Amyntas, fo warmly in behalf of her two !ons,. whom clofely purfued by the Lacedemonians, great part of fhe prefented to him, that he interefted him'elf in their whom alfo paffed the river •, but the Olynthians fud- behalf, and got Perdiccas the eldeft ellabliihed oft denly turned upon them, killed upwards of 100, with the throne. He was induce ! aifo to this piece ci Tlemonidas their leader. Teleutias, exafperated at this generofity by the kindnels which Eu ydice and her difafter, ordered the remainder of the targeteers and hufband had formerly fhovvn to himfelf; and he like- cavalry to purfue ; while he himfelf advanced at the wife faw the advantages which muft enfue to his coun- 15 head of the heavy-armed foot, ■with fuch celerity that try from a connexion with Macedon. During the Ptolemy they began to fall into diforder. The Olynthians al- minority of the young prince, however, his brother ^throne, lowed them to proceed, and the Lacedemonians very Ptolemy, who was his guardian, openly afpired to the L1 imprudently advanced juft under the towers and battle- throne-, but he was depofed by the Theban g-neral ments of the city. The townfmen then mounted the Pelopidas, who reinftated Perdiccas in his dominions ; walls, and difeharged upon them a (bower of darts, ar- and in order to fecure, in the moil effe&ual manner, rorvs, and other miftile weapons, while the flower of the the dependence of Macedon upon Thebes, carried along Olynthian troops, who had been purpofely polled be- with him thirty Macedonian youths as hoftages ; and hind the gates, (allied forth and attacked them with among them Philip, the younger brother of the king, great violence. Teleutias, attempting to rally his men, Perdiccas now, elated by the protection of fuch power- was (lain in the firfl onfet the Spartans who attended ful allies, forgot Iphicratt s and the Athenians, and even him were defeated, and the whole army at laft difperfed dil'puted with them the right to the city of Amphipolis, with great (laughter, and obliged to (belter themfelves in which had been decreed to them by the general coun- the towns of Acanthus, Apollonia, Spartolus, and Potidaea. cil of Greece, but which his oppofition rendered impof- The Spartans, undifmayed by this terrible difafter, fible for them to recover. In confequence of the truft next fent their king Agefipolis with a powerful rein- he put in thefe new allLs, alfo, it is probable that he forcement into Macedon. His prefence greatly raifed refufed to Bardyllis the Illyrian the tribute which the the {pints of the Lacedemonian allies, and his rapid fuc- Macedonians had been obliged to pay him ; which oc- 17 cefs feemed to promife a fpeedy termination to the war, cafioned a war with that nation. In this conteft the ^ when he himfelf died of a calenture. He was fucceeded Macedonians were defeated with the lofs of 4000 men, in the throne by his brother Cleombrotus, and in the Perdiccas himfelf being taken prifoner, and dying foontheir king -command of the army by Polybiades an experienced after of his wounds. killed by general, who likewife brought along with him a power- The kingdom was now left in the moft deplorfblethe P'yd- Tul reinforcement. Olynthus was now completely flate. Amyntas, the proper heir to the throne, was ’115* .blocked up by land, while a fquadron of Lacede- an infant ; the Thebans, in whom Perdiccas had placed xnonian galleys blocked up the neighbouring harbour fo much confident'*, were deprived of the fovereignty of Myceberna. The Olynthians, however, held out of Greece ; the Athenians, juftly provoked at the un- for nine or ten months, but at laft were obli'-md to fub- grateful behaviour of the late monarch, (bowed a hetf- Vol. XII. Part I. ° P P tile MAC [ 298 t Maceiaon. tile difpofitlon j the Illyrians ravaged the weft, and the * Paeonians the north quarter of the kingdom ; the Thra¬ cians ftill fupported the caufe of Paufanias, and propofed to fend him into Macedon at the head of a numerous army 5 while Argaeus, the former rival of Amyntas, renewed his pretenftons to the throne, and by flattering the Athenians with the hopes of recovering Amphipo- lis, 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 lent to TS the coaft of Macedon. Philip ar- Philip, the late king’s brother, no fooner heard of et'do 'n^a"his defeat and death, than he fet out privately from Thebes j and on his arrival in Macedon found matters in the fituation we have juft now7 defcribed. 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 firft to pretend that he affumed the throne only to preferve it for his nephew7. Philip, as has already been men¬ tioned, was carried off as a hoftage by Pelopidas, but for a long time paft had rema>ined in liich obfcuri- ty, that hiftorians difagree as to his place of refidence j fome placing him in Thebes, and others in Macedon. It is certain, however, that from the age of 15 he had been very much in the family of Epaminondas, from whofe leffons he could not but derive the greateft emo¬ lument. It is probable alfo that he attended this cele¬ brated general in many of his expeditions *, and it is certain, that, wdth an attendance fuitable to his rank, he vifited moft of the principal republics, and Ihowcd an attention to their inftitutions, both civil and mili¬ tary, far fuperior to his years. Having eafy accefs to whomfoever he pleafed, he cultivated the friendftiip of the firft: people in Greece. Even in Athens, w7here no good w7ill fubfifted with Macedon, the philofophers Plato, Ifocrates, and Ariftotle, cultivated his acquaint¬ ance : and the connexion he formed wdth the principal leaders of that republic in the early period of his life, no doubt contributed greatly to the accomplilhment of the defigns in which he afterwards proved fo fuccefsful. His appearance in Macedon inftantly changed the face of affairs: the Macedonian army, though defeated, was not entirely deftroyed *, and the remainder of them fe- cured themfelves in the fortreffes which had been built by Archelaus. There wrere alfo confiderable garrifons in the fortreffes, and willed towms fcattered over the kingdom ; and the Illyrians, who had made war only for the fake of plunder, foon returned home to enjoy the fruits of their victory His other enemies, the Thra¬ cians and Paeonians, were much lefs formidable than the Illyrians, being ftill in a very rude and uncivilized ftate, incapable of uniting under one head in fuch a manner as to bring any formidable army into the field. While the Illyrians therefore gave up the campaign through mere caprice and unfteadinefs, Philip himfelf applied to the Paeonians, and by fair promifes and flat¬ tery prevailed upon them to defift. The king of Thrace, by means of a fum of money, was eafily prevailed upon to abandon the caufe of Paufanias; fo that Philip, freed from thefe barbarians, w7as now7 left, at liberty to oppofe the Athenians, who fupported Argaeus, and threatened a very formidable invafion. The appearance of the Athenian fleet before Me- thone, with that of Argaeus.. at the head of a numerous ] MAC 19 Retrieves the affairs ©f the king¬ dom. army in Pieria, filled the whole country wuth confter- Macedon. nation ; and Philip, who w7as by no means deficient in " ' talents neceffary to recommend himfelf to the good graces of the people, took the opportunity of getting 20 Amyntas fet alide, and himfelf declared king j for Takes up. wrhich indeed the danger of the times afforded a veryon lA™ the plaufible pretext. Argaeus, in the mean time, advan-ioveleiSntT ced with his Athenian allies towards Edeffa or Atge, the ancient capital of the Macedonian empire, where he hoped to have been amicably received j but finding the gates fhut againft him, he returned back to Me- 21 thone. Philip haraffed him in his retreat, cutting off ^efeats an(l great numbers of his men, and afterwards defeated ^‘':s him in a general engagement; in which Argaeus him-erianUlU1^~ felf, with the flower of his army, was cut in pieces, and all the reft taken prifoners. This firft inftanee of fuccefs contributed greatly to raife the fpirits of Philip’s party •, and he himfelf took 22 care to improve it in the beft manner poflible. Hav-Pkfiip’spo- ing taken a great number of prifoners, both Macedo-Iitlc treat- nians and Athenians, he determined, by his treatment of them, to ingratiate himfelf with both parties. The former were called into his prefence, and, after a gentle reprimand, admitted to (wear allegiance to him ; after which they were diftributed through the army : the Athenians w7ere entertained at his table, difmiffed without ranfom, and their baggage reftored. The prifoners were juft allowed time to return to their native city and to fpread abroad the news of Philip’s generofity, when they were followed by ambaffadors ,, from Macedon with propofals for peace. As he knew Renounces that the lofs of Amphipolis had greatly irritated them, his right to he now thought proper to renounce his jurifdiftion 4-mkMp°" over that city j and it w7as accordingly declared freeila' and independent, and fubjedl only to the government of its own free and equitable laws. This artful con- duff, together with his kind treatment of the prifoners, fo wrought upon the minds of the Athenians, that they confented to the renewal of a treaty which had formerly fubfifted between them and his father Amyntas. Thus he found means to remove all jealoufy of his ambition or the fchemes he might afterwards undertake to their prejudice j and not only this, but to induce them to engage in a ruinous war with their allies, which occu¬ pied their attention until Philip had an opportunity of getting his matters fo well eftabliftied that it was impof- fible to overthrow them. The new king being thus left at liberty to regulate Reducestke his domeftic concerns, began to circumfcribe the power power of the of his chiefs and nobles j who, efpecially in the more nobility, remote provinces, paid very little regard to the autho¬ rity of the kings of Macedon •, fometimes, even in times of public calamity, throwing off their allegiance altogether, and affuming an independent government 25 over confiderable trafls of country. To counteract Choofes a the ambition of thefe chiefs, Philip chofe a body ofriumber0^ the braveft Macedonian youths, whom he entertained at his own table, and honoured with many teftimoniesfQ^jjfs co^ of his friendftiip, giving them the title of his panions. nionSy and allowing them conftantly to attend him in war and hunting. Their intimacy with the fovereign, which was ccnfidered as an indication of their merit, obliged them to fuperior diligence iu all the fevere du¬ ties of military difeipline ; and the young nobility, eager to participate fuch high honours, vied with each other M A C [ 299 ] MAC Macedon. 2 a body of 6000 men armed with Ihort fwords fitted either for cutting or {tabbing, hav¬ ing alfo ftrong bucklers four feet long and two and a half broad, and pikes 14 feet long-, ufually marching 16 men deep. But this opinion is controverted by others. Dr Gillies fuppofes that the opinion had arifen from the Romans meeting with the phalanx in its molt complete form in Macedon 5 and as they be¬ came acquainted with Greece and Macedon pretty nearly at the fame time, it was natural for them to fuppofe that it had been invented among the Macedo¬ nians. The phalanx, he fays, is nothing different from the armour and arrangement which had always prevailed among the Greeks, and which Philip adopt¬ ed in their molt perfeft form “ nor is there reafon (fays he) to think that a prince, vcho knew the dan¬ ger of changing w7hat the experience of ages had ap¬ proved, made any alteration in the weapons or tallies of that people. The improvement in the counter¬ march, to which Philip gave the appearance of advan¬ cing inftead of retreating, mentioned by ALlian in his Tactics, cap. xxviii. was borrowed, as this author tells us, from the Lacedemonians. If Philip increafed the pha¬ lanx, ufually lefs numerous, to 6000 men, this was far from an improvement; and the latter kings of Mace¬ don, who fvvelled it to 16,000, only rendered that or¬ der of battle more unwieldy and inconvenient.” Inltead of this, Philip, according to our author, employed him- felf in procuring arms, horfes, and other neceflary ma¬ terials for wrar ; and in introducing a more fevere and exa£t military difeipline than had formerly been known in Macedon. While the king thus took the bell methods to ren¬ der himfelf fecure at home and formidable abroad, the Paeonians 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 almoft of every power of refiftance when they were attacked. Philip, of confequence, overran their coun¬ try with little oppofition, and reduced them to the ftate of tributaries to Macedon. No fooner w-as this accom- piifired, than he undertook a winter’s campaign againft the Illyrians, who had long been the natural enemies of Macedon. They had now extended their territory to the eaft ; by which means the Macedonians were ex¬ cluded from the harbours on the coaft of the Adriatic. This was a grievance to Philip, who feems early to have meditated the raifing of a naval power ; neither could he hope to be in fafety, ftrould the kingdom be left open to the incurfions of a barbarous enemy j for which reafons he determined at once to humble thofe enemies in fuch a manner that they ftrould no longer be in a fituation to give him any difturbance. After an ineffeflual negociation, he wras met by Bardyllis at the head of a confiderable body of infantry, but with only 400 horfe. They made a gallant refiftance for forae time j but being unable to cope wfith fucu a fkilful. ge- Macedoft, neral as Philip, they were defeated with the Ids d 7000 men, among w-hom wras their leader Bardyllis, WTho fell at the age of 90. _ 28 By this difafter the Illyrians were fo much dilheart- They are ened, that they fent ambaffadors to Pmlip, humbly begging for peace on any terms. I he con(lue_ror tributary, granted them the fame conditions which had been im- pofed upon the Paeonians, 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 j the country being fertile, and the lake abounding w7itu many kinds of fifh highly efteemed oy the ancients. This town and lake w7ere about jo miles diftant from the Ionian fea 5 and fuch was the afcendancy which the arms and policy of Philip acquired over his neighbours, that the inhabitants of all the intermediate aiftrift foon adopted the language and manners of their conquerors j and their territory, hitherto unconne&ed with any fo¬ reign power, funk into fuch abfolute dependence upon Macedon, that many ancient geographers fuppofed it to be a province of that country. 29 Philip had no fooner reduced the Illyrians, than he great began to put in execution greater dengns tnan any he had yet attempted. The rich coafts to the fouthward of Macedon, inhabited chiefly by Greeks, prefented a ftrong temptation to his ambition and avarice. I he 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 armed troops, befides a pumber of cavalry in propor¬ tion. Moft of the towns in Chalcidice were become its allies or fubjefts; fo that this populous and wealthy province, together with Pangaeus on the right and Pieria on the left, of both which the cities w7ere ei¬ ther independent or fubjedt 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 Plans the enough of the importance of thofe places, he confi-conque.il dered the conqueft of Amphipolis as more neceffary 0) ijl3‘np at the prefent time. By the poffeflion of this place 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 w7as likewife opened to the w7oods and mines of Pangaeus, the former of which were fo neceffary to the raifing of a naval power, and the latter for the eftabliftrment 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 ftill afferted their right to it as an ancient colony ; though, by reafon of the perfidy of Chari- demus, a native of Euboea, 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 hoftile 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 prote£fion of the Olynthians. By them they were readily received in- P P a to Maceclon Engages to conquer it for the A- thenians. 3® Amplupolis furrenders. M A C [ to the confederacy j and, trufting to the ftrength their new allies, behaved in fuch an infolent manner to Philip, that he was not long of finding a fpecious pretext for hoflility ; at which the Olynthians, great¬ ly alarmed, fent ambafladors to Athens, requefling their affidance againft 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 tne popular leaders and orators, he deceived and flattered the magistrates and fenate in fuch an artful manner, that a negociation was inffantly fet on foot, by which Philip engaged to conquer Amphipolis for the Athenians, upon condition that they furrendered to him the flrong fortrefs of Pytlna, a place which he reprefented as of much lefs importance to them ; promiling alio to confer upon them many other ad¬ vantages, which, however, he did not fpecify at that time. ”1 hus the Athenians, deceived by the perfidy of their own magiftrates, elated with the hopes of re¬ covering Aravhipolis, and outwitted by the fuperior policy of Philip, reje£led with dildain the proffers of the Olynthians. T<;e ambaffadors of Olynthus returned home highly dhgufted with the reception they had met with ; but had icarce time to communicate the news to their coun¬ trymen, when the ambaffadors of Philip arrived at O- lynthus. He pretended to condole with them on the affront they had received at Athens $ but teftified his furprife that they fhould court the affiftance of that dif- tant and haughty republic, when they could avail them- felves of the powerful kingdom of Macedon, which wifhed for nothing more than to enter into equal and lading engagements with their confederacy. As a proof of his moderation and fincerity, he offered to put them in poifelficn of Anthemus, an important town in the neighbourhood, of which the Macedonians had long claimed the jurifdiftion, making many other fair pro¬ miles •, and among the reft, that he would reduce for them the cities of Pydna and Potidaea, 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 aftift him with all their pow'er 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 defpatched tw’o of their moft eminent citizens, Hierax and Stratocles, to reprefent the dan¬ ger of an alliance betwixt Philip and the Olynthians, and to profefs their forrew for having fo deeply offend¬ ed the parent ft ate. This reprefentation had fuch an effedf, that though the Athenians w7ere then deeply engaged in the Social war, they would probably have paid feme attention to the Amphipolitans, had not Phi¬ lip taken care to fend them a letter with frefh affuran- ces of friendftn’p, acknowledging their right to Amphi¬ polis, and which he hoped Shortly to put into their hands in terms of his recent agreement. By thefe fpe¬ cious pretences the Athenians were perfuaded to pay as little regard to the deputies of the Amphipolitans as they had already done to thofe of the Olynthians ; fo that the city, unable to defend itfelf alone againft fo 300' ] MAC of powerful an enemy, furrendered at laft at diferetion hi Macedon. the year 3 cy B. C. y—««f 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- nilhed a pretence for feverity, he contented himfelf with baniftiing a few of the popular leaders from w hom he had moft caufe to dread oppofttion, treating the reft of the inhabitants with all manner of clemency ; but took care to add Amphipolis to his own domi¬ nions, from which he was determined that it never fhould 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 affiduity; took the cities of Pydna and Potidaea, wftiich he readily yielded to the Olynthians, though they had given him but little afftftance in the reduFrion of thefe places. Potidaea had been garrifoned by the Athenians j 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 w7as rather too grofs, the A- thenians at prefent were fo much engaged with the So¬ cial war, that they had not leifure to attend to the affairs of other nations. Philip made the beft ufe of his time, and next projected the conqueft of the gold mines of ^ Thrace. That rich and fertile country was now held Makes him- by one Cotys, a prince of fucb w7eak intelleftual facul-feIf mafter ties, that the fuperftition of the Greeks, into w'hich of.the he was new ly initiated, had almoft entirely fubverted ^hnure. his reafon ; and he w andered about in queft of the goddefs Minerva, with wThom he fancied himfelf in love. The invafion of the Macedonians, however, aw7aked him from his reverie ; and Cotys, finding him¬ felf deftitute of other means of oppofitlon, attempted to Hop the progrefs of the enemy by a letter. To this Philip paid no regard : the Thracians were inftantly expelled from their pofleflions at Crenidse, 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, w7ho knew not how to make ufe of the treafure they were in poffeffion oft Philip took the trouble to defeend into the mines himfelf, in order to infpeff the w7orks; and having caufed them to be repaired, planted a Macedonian colony at Crenida;, bellowed upon it the name of Philippi, and drew annually from the gold mines to the value of near 1000 talents, or 200,cool, fterling ; an immenfe fum in thofe days. The coins ftruck here were likewife call¬ ed Philippi. Philip having obtained this valuable acquifition, Settles the next took upon him to fettle the affairs of Theffaly, affairs of where every thing w7as in confufion. This country Tlieffaly had been formerly oppvefied by Alexander tyrant of^^^0 Pherae; after whofe death three others appeared, viz.tage! Tiffiphornus, Pitholaus, and Lycophron, the brothers- in law of Alexander, w7ho had likewife murdered him. By the united efforts of the Theffalians and Macedo¬ nians, however, thefe ufurpers were eafily overthrowm, and effedlually prevented from making any difturbances for the future ; and the Theffalians, out of a miftaken gratitude, furrendered to Philip all the revenues arifing from Macedon. 35 Marries Olympias. 36 > A general combina¬ tion of the neighbour- isg princes formed a- gainft him. 37 Defeats his 38 Birth of Alexander the Great. . 39 Ariftotle appointed his precep¬ tor. 40 Extent of the Mace¬ donian ter¬ ritories. ,4T Projedls the con- queft of O- lynthus and of all .Greece. MAC [30 from their fairs and towns of commerce, as well as all the conveniences of their harbours and {hipping j a concellion which Philip took care to fecure in the moft effeftual manner. Having now not only eftablilhed his fovereignty in the molt eft’e&ual manner, but rendered himfelf very powerful and formidable to his neighbours, Philip de¬ termined to enjoy feme repofe from his fatigues. Hav¬ ing formed an alliance with Arybbas king of Epirus, he, in the year 357 B. C. married Olympias the fi¬ lter of that prince ; a match thought the more eligible, as the kings of Epirus were fuppofed to be defeended from Achilles. The nuptials were folemnized at Pella with great pomp, and feveral months were fpent in fhows and diverlions; during which Philip {bowed fuch an extreme pronenefs to vice of every kind, as difgraced him in the eyes of his neighbours, and moft probably laid the foundation of his future domeftic un- happinefs. So much was this behaviour of the Mace¬ donian monarch taken notice of by the neighbouring Hates, that the Pteonians and Illyrians threw off the yoke, engaging in their febemes the king of Thrace : and notwithftanding the infane ftate of that prince, their defigns wpe now carried on with more judgement than was ufual with barbarians. Philip, however, not¬ withftanding his diftipation, got 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 the Paeonians and Thracians, he defpatched Parmenio his beft general into Illyria. Both enter- prifes proved fuccefsful j and while Philip returned viftorious from Thrace, he received an account of the viftory gained by Parmenio a fecond meffenger in¬ formed him of a viftory gained by his chariot at the Olympic games •, and a third, that Olympias had been delivered of a fon at Pella. This was the celebrated Alexander, to whom the diviners prophefied the higheft profperity and glory, as being born in fuch aufpicious circumftances. A Ihort time after the birth of Alexander, Philip wrote a letter to the philofopher Ariftotle, wdiom he chofe 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- fure ourfe'ves that you will form him a prince worthy of his father, and worthy of Macedon.” He next fet about the farther enl.trgement of his territories, which were already very confiderable. Paeonia was now one of his provinces; on the eaft his dominions extended to the fea of Thafos, and on the weft to the lake Lychnidus. The Theffalians were in effect fubjeft to his jurifdi&ion, and the poffeflion of Am- phipolis had fecured him many commercial advantages; he had a numerous and well-difciplined army, with plentiful refources for fupporting fuch an armament, and carrying through the other fchemes fuggefted by his ambition ; though his deep and impenetrable poli¬ cy rendered him more truly formidable than all thefe put together. His firft fcheme was the redu£fion of Olynthus, the moft populous and fertile country on 1 ] MAC the borders of Macedon ; after which his ambition Macedon.^ prompted him to acquire the fovereignty of all Greece.^ To accomplilh the former, he had hitherto courted the friendlhip of the Olynthians by every poflible method ; and without letting flip any opportunity to accomplilh the latter, he deprived the Athenians gradually of feveral of their fettlements in Thrace and Macedon. In thefe depredations, however, he took care always to give fuch appearance of juftice to his aftions, that his an- tagonifts, who had ftudied the matter lefs deeply, could not find a plaufible pretext for engaging in war againft him, even when he had openly committed ho- ftilities againft-them. Philip eafily perceived that the affairs of the Greeks were coming to a crilis, and he determined to wait the event of their mutual diffen- 42 fions. That event did not difappoint his hopes.. The Account of Phocians had violated the religion of thofe days in a the moft extraordinary manner , they had even ploughed up%'ar‘ the lands confecrated to Apollo : and however they might pretend to excufe themfelves by examples, the Amphhftyons fulminated a decree againft the Phocians, commanding the facred lands to be laid wafte, and im- poling an heavy fine upon the community. By this decree all Greece was again involved in the war called P/iocian, from the name of the city about which it commenced. Philip at the beginning of the troubles was engaged in Thrace, where a civil wrar had taken place among the ions of Cotys; and wherever Philip interfered, he was fare to make matters turn out to his owm advantage. His encroachments at length became fo enormous, that Kerfobletes, the moft powerful of the contending princes, agreed to cede the Thracian Cherfonefus to the Athenians; who immediately fent Chares at the head of a powerful armament to take poffeflion of it. In this expedition the town of Seftos was taken by ftorm, and the inha¬ bitants cruelly treated by Chares, wrhile Philip employ- 4. ed himfelf in the fiege of Methone in Pieria. This city Philip lofes he likewife reduced; but the king loft an eye at the Aegean eye at in the following extraordinary manner, if we may give^^S^0^ credit to fdme ancient hiftorians. A celebrated archer,1 named After, had, it feems, offered his fervices to Phi¬ lip, being reprefented as fuch an excellent markfman, that he could hit the fwifteft bird on the wing. Phi¬ lip replied, that he wmuld be of excellent ufe if they were to make war with ftarlings. After, difgufted with this reception, went over to the enemy, and with an arrow wounded the king in the eye. When the weapon w-as extrafted, it was found to have on it the following infeription : “ For the right eye of Philip.” The king ordered the arrow’ to be {hot back again, with another infeription, importing that he would caufe After to be hanged when the town wTas taken. A report was raifed after Philip’s death, that he had loft his eye by prying too narrowfty into the amours of Olympias and Jupiter Ammon ; which the vanity of his fucceffor prompted him to cherifti, as his flatterers had probably been the inventors of it. All this time the Phocian war raged with the great- eft fury, and involved in it all the ftates of Greece. Lycophron, one of the Theffalian tyrants, w’hom Philip 44 had formerly deprived of his authority, had again enSa§e^ found means to re-eftablifti his authority, and his coun-wjtll 0no, trymen having taken part wdth the Phocians, Lyco-marchus phron called in Onomarchus the Phocian general tothe PHocian protect §eneral» MAG [ ^02 ] , Mreec1^. protcft him againft the power of Philip, by whom he great temptation to r was fenfible that he would foon be attacked. The king accordingly marched into Thefl'aly with a confiderable army, defeated Phyallus the brother of Onomarchus, whom the latter had lent into the country with a de¬ tachment of 7000 men. After this he befieged and took the eity of Pegafae, driving the enemy towards the frontiers of Phocis. Onomarchus then advanced with the whole army; and Philip, though! inferior in numbers, did not decline the engagement. The Pho- cians at firlt gave ground, on which the Macedonians purfued, but in good order ; but coming near a pre- 45 cipice, on the top of which Onomarchus had ported who defeats a detachment of foldiers, the latter rolled down ftones MAC 46 but is at laft defeat lum’ and fragments of the rock in fuch a manner as did dreadful execution, and threw them into the utmoft diforder. Philip, however, rallied his troops with great prelence of mind, and prevented the Phocians from gaining any farther advantage than they had already done ; faying, as he drew off his men, that they did not retreat through fear, but like rams, in order to ftrike with the greater vigour. Nor w’as he long before he made good his affertion ; for having re¬ cruited his army with the greateft expedition, he re¬ turned into Theffaly at the head of 20,000 foot and 500 horfe, where he was met by Onomarchus. The eel and kill- Macedonians at this time were fuperior in number to ed. their enemies ; and Philip moreover took care to re¬ mind them, that their quarrel w7as that of heaven, and that their enemies had been guilty of facrilege, by pro¬ faning the temple of Delphi. That they might be ftill more animated in the caufe, he put crowns of laurel on their heads. Thus fired by enthufiafm, and having befides the advantage of numbers, the Phocians were altogether unable to withftand them. They threw awray their arms and fled towards the fea, where they ex- pe£ted to have been relieved by Chares, who, with the Athenian fleet, was nigh the fliore : but in this they were difappointed, for he made no attempt to fave them. Upwards of 6000 perifhed in the field of battle or in the purfuit, and 3000 wrere taken prifon- ers. The body of Onomarchus being found among the flain, was by order of Philip hung upon a gibbet as a mark of infamy, on account of his having polluted 'the temple ; the bodies of the reft w7ere thrown into the fea, as being all partakers of the fame crime. The fate of the prifoners is not known, by reafon of an am¬ biguity in a fentence of Diodorus Siculus, which may imply that they were drowned, though it does not ex- 47 prefsly fay fo. Plnlippur- After this victory, Philip fet about the fettlement of Theffaly, waiting only for an opportunity to put in execution his favourite fcheme of invading Greece. In the mean time, he rejoiced to fee the ftates weak¬ ening each other by their mutual diffenfions ; of which he never failed to take advantage as far as poflible. He now, however, began to throw off the mafic with regard to the Oly-athianSj whom he had long deceived with fair promifes. Having detached Kerfobletes from the intereft of the Athenians, he eftablifhed him in the fovereignty of Thrace ; not out of any good will, but with a view to deftroy him whenever a proper op¬ portunity offered. Were he once poffeffed of the dominions of that prince, the way to Byzantium was .ppen to him ; the poffeflion of which muft have been a 2 fues his am¬ bitious /themes. who well knew how to Maced on. value the importance of its fituation both with refpeft ~ to commerce and war : and in order to pave tbe way to this important conqueft, he attacked the fortrefs of Herasum, a fmall and in itfelf unimportant place, though, by realon of its neighbourhood to Byzan- 4? tium, the acquifition was valuable to Philip. Theoppofed Athenians, however, at lafl began to perceive the de-lj?7 t!ie A' figns ol Philip, and determined to counteract them. t''er^ar3‘ For this purpofe they entered into an alliance with Olynthus ; and having warned Kerfobletes of his dan¬ ger, they ordered a powerful fleet to the defence of the Heraeum. But thefe vigorous meafures were foon counteracted by the report of Philip’s death, which had been occafioned by his wound at Methone, and a diftemper arifing from the fatigues he had afterwards undergone. 'I lie inconflant Athenians too eaiily gave credit to this report ; and, as if all danger had been over with his death, difeontinued their preparations-, and direfted their whole attention to the facred war. — Phis contert, inftead of being ended by the death of Onomarchus, now raged with double fury. Phv-Continua- allus, above mentioned, the only furviving brother ofb'-H °ftrie Onomarchus, undertook the caufe of the Phocians; ^ ‘’uc*ari and his affairs becoming every day more and more del- '‘l" perate,^ he undertook the molt unaccountable method of retrieving them which could be imagined : having converted into ready money the molt precious mate¬ rials belonging to the temple at Delphi, and with this treafure doubled the pay of his foldiers. By this new piece of facrilege, he indeed brought many adventiw rers to his ftandard, though he cut off all hopes of mer¬ cy for bimfelf or his party ftiould he be defeated. Having the afliftance of loco Lacedemonians, 2000 Achaeans, and 5000 Athenian foot, with 400 cavalry, he was ftill enabled to make a very formidable appear¬ ance ; and the Phocians took the field with great pro- fpeCt of fuccefs. ,.0 Philip now thought it time to throw off the malkP’nihp en- entirely, for which the proceedings of the Athenians,£a£es particularly their league with Olynthus, furnilhed himthe ‘luarrel? with a plaufible pretext ; and the revenging fuch hor¬ rid facrilege as had been committed at Delphi feemed to give him a title to march at the head of an army into Greece. The fuperftition of the Greeks, how¬ ever, had not yet blinded them to fuch a degree, but they could eafily perceive that Philip’s piety was a mere pretence, and that his real defign was to invade and conquer the whole country. The Athenians no fooner heard of the march of the Macedonian army, than they defpatched, with all expedition, a ftrong guard to fecure the pafs of Thermopylae ; fo that Phi- 51 lip was obliged to return greatly chagrined and dif- Is prevent- appointed. Their next ftep was to call an affembly,ecl from en,‘ to deliberate upon the meafures proper to be taken in Gireece order to reftrain the ambition of the Macedonian mo¬ narch ; and this affembly is rendered memorable by the firft appearance of Demofthenes as an orator againft Philip. Athens for fome time had been in a very alarming fituation. They were deeply involved in the facred war; their northern poffeflions were continually infulted and plundered by Philip ; while a number of his mercenary partifans drew off the pub¬ lic attention to fuch a degree, that, inftead of taking xneafures to counteradl that .ambitious prince, they a- muled M A C r 3°3 ] M A C Macedon. mafed tliemfelves with fpeculatisms about the defigns of the Periian monarch, who was preparing for war againit the Cyprians, Egyptians, and Phoenicians. Ifo- crates the celebrated orator, and Phocion the llatef- ries. 52 Extreme indolence ami care- leflhefs of the Athe¬ nians. 53 Advice of Ifocrates the orator to them. 54 He and Phocion thenes. 55 Subftance of his fcrlt tiiicourics. man, joined the multitude in their prefent opinion, though not from any mercenary motives, but purely from a fenfe of the unfteady condu£l: of the Athenians j who, they were affured, could not contend with a prince of the vigour and activity of Philip ; and there¬ fore exhorted them by all means to cultivate the friend- fhip of Philip, whom they could not oppofe wnth any probability of fuccefs. Ifocrates, indeed, greatly with- ed for an expedition into Alia, and looked upon Phi¬ lip to be the only general capable of conducing it, though at prefent the Greeks had no pretence for making war upon the Perlians, but that of revenging former injuries : and on this fubje£f he addreffed a difcourfe to Philip himfelf; and it is even faid, that Ilocrates, by the power of his rhetoric, prevailed upon Philip and the Athenians to lay afide their animolities for a Ihort time, and confent to undertake this expedi¬ tion in conjunction. If this coalition, however, did really take place, it was of very fhort duration. The views of Phocion are^oppofed ancj Ifocrates were violently oppofed by Bemolthenes. ) ^ 0 ' Though fenlible of the corruption and degeneracy of his countrymen, he hoped to be able to roufe them from their lethargy by dint of his eloquence ; a ta¬ lent he had been at great pains to cultivate, and in which he is faid to have excelled all men that ever exifted. In his firft addrefles to the people, this celebrated orator exhorted them to awake from their indolence, and to affume the direftion of their own affairs. They had been too long governed, he faid, by the incapa¬ city of a few ambitious men, to the great difad vantage as well as difgrace of the community. In the firft place, an orator who had placed himfelf at the head of a faclion of no more than 300 or 400, availed him¬ felf and his followers of the careleffnefs 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¬ mantic 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 infilled alfo upon a better regulation of their finances, a more equal dif- tribution of the public burdens, in proportion to the abilities of thofe 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 refpe£lable 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 j they mull begin with pro- tefling Oiynthus and the Cherfonefus, for which it would be necefTary 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 i(lands of Lemnos, Thafos, and Sciathos, in the neigh¬ bourhood of Macedon. In thefe they would enjoy all kinds of neceiTaries in abundance, and might avail themfelves of every favourable incident, to appear at Macedon. the firft fummons of their allies •, and either to repel the ^ 'J incurfions of the Macedonians, or harafs their territo- 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 enlifl, and no more fupplies were want¬ ed at prefent but 90 talents. But notwithflanding the moderation of thefe propofak;, and the urgent necefh- ties of the {late, it was impoflible 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 j which difpofition Philip took care to encourage to the utmofl of his power. There was an affembly in the city called the Sixty, from their confiding original¬ ly of that number, who met exprefsly for the purpofes of extinguifhing all care about public affairs, and to in¬ toxicate themlelves with every kind of pleafure they had in their power. With this affembly Philip was fo well pleafed, that he fent them money to fupport their extra¬ vagancies j and fo effedually did they anfwer his pur¬ pofes, that all the eloquence of Demoflhenes could not counteratt the fpeeches of orators much his inferiors • wdien backed by Macedonian gold. Philip himfelf, as wTe have already hinted, was ex- ceflively debauched in his private charafter, and the mod fhameful dories are related of him by the ancient writers, particularly by Demollhenes. Theopompus^. too, an author who flourifhed in the time of Alexan¬ der, and was rewarded and honoured by that monarchy alfo fpeaks of him in fuch terms as we cannot with de¬ cency relate : but thefe accounts, coming from the avovred enemies of the king, are fcarcely to be credit¬ ed ; and perhaps policy, as well as inclination, might contribute fomewhat to this fcandalous behaviour, that he might thereby recommend himfelf to the libertines of Athens, and prevent even many of the more think- ing part of the people from fufpefling his defigns. - But in whatever exceffes he might at times indulge himfelf, he never lod fight of his main obje£l, the fub- jugation of the Greek dates. 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 cafh very plentiful in Greece. Thus he attached his creditors firmly to his own intered 5 and on pretence of paying debts, was enabled without mo- ledation to bedow a number of penfions and gratuities upon the Athenian orators, who by their treacherous harangues contributed greatly to the ruin of their country 5 at lead as far as it could be ruined by fub- jedlion to a prince who would have obliged them to remain at peace, and apply themfelves to ufeful arts. Thefe he himfelf encouraged in a very eminent decree. The greated part of his time was employed at Pella, which city he adorned in the mod magnificent manner with temples, theatres, and porticoes. He invited by liberal rewards, the mod ingenious artids in Greece 5 and as many of thefe met with very little encourage¬ ment in their own country, great numbers flocked to nm fiom all.quarters. In the government of his peo¬ ple, alfo, Philip behaved with the utmod impartiality : Ijilening with condefcenfion to the complaints of the • meaned MAG Macedon. [ 304 ] M A C s* T)ver- arvi t aft concludes a peace. meanefi of liis fubjecb, a:;d keeping up a conftant cor- refpondence with thofe whom he thought worthy of his acquaintance ; from which, it is not eafy to imagine how he could be fo guilty of the vices tve have already mentioned from fome ancient hiftorians. The fate of Olynthus wras now foon determined. This city, which held the balance of power betwixt Athens and Macedon, w7as taken and plundered, and the inhabitants fold for Haves; but the chief hope of Thilip wTas in putting an end to the Phocian war. For this purpofe he affe&ed a neutrality, that he might thereby become the arbiter of Greece. His hopes were wTell founded ; for the Thebans, who were at the head of the league againft the Phocians, foii- cited him on the one fide, and the ftates confede- fate 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 flate ; for he well knew, that the Athenians, Spar¬ tans, and other ftates allied with Phocis, would ne¬ ver allow him to pafs Thermopylae, and lead an army into their territories. So much refpedft, howTever, did he ftiow to the ambafiadors 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- reaches the nians, who were now diiTolved in eafe and luxury, re- Athenians, ceive(i this news with great fatisfaflion ; and named immediately ten plenipotentiaries to'go and treat of a full and lafting peace with Philip. Among thefe ple¬ nipotentiaries wrere_ Demofthenes and ATchirres, the moft celebrated orators in Athens. Philip gave di- retlions that thefe ambaffadors fhould be treated with the utmoft civility •, naming, at the fame time, three of his minifters to confer with them, viz. Antipater, Par- n enio, and Eurylochus. Demofthenes being obliged to return to Athens, recommended it to his colleagues not to carry on their negociations with Philip’s depu¬ ties •, but to proceed with all diligence to court, there to confer with the king himielf. The ambaffa- dors, however, were fo far from following his in- ftruhlions, that they fuffered themfelves to be put off for three months by the arts of Philip and his mini¬ fters. In the mean time, the king took from the Athe¬ nians fuch places in Thrace as might beft cover his frontiers ; giving their plenipotentiaries, in their Head, abundance of fair promifes, and the ftrongeft affur- ances that his good will ftiould be as beneficial to them as ever their colonies had been. At laft a peace was concluded ; but then the ratification of it was deferred till Philip had poffeffed himfelf of Pheraer in Theffaly, and faw himfelf at the head of a numerous army : then he ratified the treaty •, and difmiffed the plenipo¬ tentiaries with affurances, that he would be ready at all times to give -Vhe Athenians proofs of his friendihip. On their return to Athens, wdien 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, rfat they could derive no authority from their maker. Atf- chmes, on. the other hand, gave it as his ientiment, that the king of Macedon’s affurances ought to give Afacedofr. them full fatisfaction. He faid, that for his part, —’“V"”"* he was not politician enough to fee any thing of dif- guife or diftimulation in the king’s conduct ; that there was great danger in diftrufting princes •, and that the furefl: method of putting men upon deceit was to Ihow that wre (ufpefted them of it. The reft of the pleni¬ potentiaries concurred with Atfchines 5 and the people, defirous of quiet, and addifted to pleafure, eaiily gave credit to all that was faid, and decreed that the peace flrould be kept. All this was the eafier brought about, becaufe Phocion, the worthieft man in the repudac, did not oppofe Philip •, which was owing to his hav.ng a juft fenfe of the ftate his country was in. He con¬ ceived, that the Athenians of thofe times were nothing like their anceftors; and therefore, as he exprefled himfelf on another occafion, he was defirous, fince they would not be at the head of Greece themfelves, that they would at lead; be upon good terms with that porver which would be lb. ~ Philip, who knew how to ufe as well as to procure PaiTes opportunity, while the Athenians were in this good Thermo¬ humour, paffed Thermopylae, without their knowing Py*®’an® whether he would fall on Phocis or Thebes ; but he p^-iarT quickly undeceived them, by commanding his foldierswar. 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 per fens, that they immediately difmiffed all thoughts of 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 Amphiftyons, or grand council of Greece. By their decree the walls of three Phocian cities were demoliihed, the people were forbid to inhabit in any but villages, to pay a yearly tribute of 60 talents, and never to make ufe either of houfes or arms till they had repaid to the temple of Apollo the money they had lacrilegioully carried from thence. Their arms were taken from them, broken to pieces, and burnt j 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 fiate throughout Greece : all of which were executed by Philip with great exaeft- nefs and moderation, he paying the moft; profound re- fpeft to the council ; and, when be had performed its commands, retiring peaceably with bis 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 abufi d and deceived bv thofe who had negociated the late peace. They ■ faw that, through their acceptance of it, the Phociansoppofed by were deftroyed 5 that Philip was become mafter oDheAthe- Thermopyhe, and might enter Greece when he plea-111^- fed 5 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 thpy had fo fooli(lily trufted : they therefore began to take new and hoftile mealures ; they ordered that the wo¬ men fhould retire out of the villages into the city, their walls be repaired, and their forts new ftrengtben- e3. c3 MAC [ 3°5 ] MAC Macedon. 59 t. Purfues his conquefts in Thrace. 60 His domi¬ nions in¬ vaded by Diopithes; "■ 61 who is de¬ fended by Demoft- henfs. 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 wrar. 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 peace, he was however for keeping it j 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 again!! all the ftates concurring with him in the late tranfaclions. 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 raifed him. The fame of his achievements without the bounds of Macedon having difpofed the fubjecls of Philip to hope every thing from his condu6f, and the feveral {fates 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 {fable founda¬ tion as that a rererfe of fortune fliould not immediate¬ ly deftroy it. To this end, while he carried on his negociations through Greece, he likewile kept his ar¬ my in exercife, by taking feveral places in Thrace, which terribly incommoded the Athenians. Diopi¬ thes, who had the government of the Athenian colo¬ nies in thofe parts, perceiving wrell what end Philip had in view, did not flay for inftrudtions from home ; but having raifed wdth much expedition a confider- able body of troops, taking advantage of the king’s being abfent with his army, entered the adjacent territories of Philip, and wafted them wdth fire and {word. The king, who, on account of the operations of the campaign in the Cherfonefe, wras not at leifure to re¬ pel Diopithes by force, nor indeed could divide his ar¬ my without imminent hazard, chofe, like an able gene¬ ral, rather to abandon his provinces to infults, wdiich might be afterwards revenged, than, by following the didates of an ill-timed paflion, to hazard the lofs of his veteran army, wdiereon lay all his hopes. He con¬ tented himfelf, therefore, with complaining to the Athenians of Diopithes’s condud, wTo in a time of peace had entered his dominions, and committed fuch devaftations as could fcarcely have been juftified in a time of war. His partifans fupported this application with all their eloquence. 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 friendfhip of Philip or of any other prince or ftate j neither could they juftly complain, if, prompted by fuch a precedent, others fhould break faith with them, and fall without the leaft notice upon their dominions. Demofthenes de¬ fended Diopithes •, and undertook to fhow that he de¬ ferred 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 5 they alleged, that he oppreffed the fubjedts and maltreated the allies of Athens. Demofthenes replied, that of thefe things there were as yet no proofs 5 that when fuch ftiould appear, a Angle galley might be fent to bring over Dio¬ pithes to abide their judgement, but that Philip w'ould not come if they fent a fleet: whence he inferred, Vol. XII. Parti. that they ought to be cautious, and to w7eigh vrell the Macedon. merits of this caufe before they took any refolution.’ 1 v He faid, that it wTas true Philip had not as yet at¬ tacked Attica, or pretended to make a defcent on their territories in Greece, or to force his w-ay 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 difowming what Diopithes had done, or direbling him to difmifs his army, they fhould fend him over recruits, and fhow the king of Macedon they knew how to prote£! their territories, and to maintain the dig¬ nity of their ftate, as well as their anceftors. Thefe' arguments had- fuch an effe£t, 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 Macedon, and threatened a formidable invafion : but Philip, by quick marches, arrived on the borders of Illyricum 5 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 to let. Moft of the Greek cities in Thrace now fought the friendlhip 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, w-e may therefore look 62 upon him as their proteflor. About this time Philip’s Philip’s negociations in Peloponnefus began to come to light; ^5"^ the Argives and Meffenians, growing weary of that ty- ^ L rannical authority which the Spartans exercifed over them, applied to Thebes for afliftanee j and the' The¬ bans, out of their natural averfion to Sparta, fought to open a paffage for Philip into Peloponnefus, that, in conjuntftion with them, he might humble the Lace¬ demonians. Philip readily accepted the offer ; and re- folved to procure a decree from the Amphiftyons, di- redling the Lacedemonians to leave Argos and Meffene free j which if they complied not wdth, he, as the lieu¬ tenant of the Amphidlyons, might, with great appear¬ ance of juftice, march with a body ©f troops to enforce their order. When Sparta had intelligence of this, !he immediately applied to Athens, earneftly entreat¬ ing afliftance, as in the common caufe of Greece. The Argives and Meffenians, on the other hand, laboured afliduoufly to gain the Athenians to their fide ; alleging that, if they were friends to liberty, they ought to ai- fift thofe whofe only aim was to be free. Demofthe¬ nes, at this jundlure, outwreftled Philip, if we may borrow that king’s expreflion j 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 began to pra£life in Euboea. 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 j under colour of which, Philip fent forces Q. ft thither, MAC [ 306 ] l tliitlicr, and demolished Porthmos, the ftrongeft city whole project turned. in thofe parts, leaving the country under the govern¬ ment of three lords, whom Demofthenes roundly calls tyrants, eltablilhed by Philip. Shortly after, the Ma¬ cedonians took Oreus, which was left under the go¬ vernment of five magiftrates, ftyled alfo tyrants at A- thens. Thither Plutarch of Eretria, one" of the molt eminent perfons in Euboea, went to reprefent the di- hrelies of his country, and to implore the Athenians to fct it free. I his luit Eemolthenes recommended wTarm- ly 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 affairs of the commonwealth and her allies, that Philip quickly found he mult for a time abandon that proieft ; which, however, he did not till he had formed another no lefs beneficial to himfelf, or lefs dangerous to Athens. It was the profecution of his conqutlls in Thrace which he thought of pufiiing much farther than he had hitherto done, or could be reafonably fufpe&ed to have any in¬ tention 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 ilrongeft cities in the country. At prefent, however, all his arts of cajoling and pretending friendtliip were infufficient to, deceive the Athenians. They gave the command of their army and fleet to Phocion ; a general or great abilities, and with whom Philip w*ould have found it very hard to contend. On the other hand, the king of Perlia began to turn jealous of the growing power of the Macedonian monarch. The Perfian kings had been accuflomed to regard tlrofe of Macedon as their laithful allies; but the good fortune of Philip, the continual clamour of the Athenians againlt him, and his dethroning at pleafure the petty princes of Thrace, made him now regarded in another light. When therefore he led his troops againft Perinthus, the Great Azflg, as he was ftyled by the Greeks, fent his letters mandatory to the governors of the maritime provinces, directing them to fupply the place 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 their utmofl: endeavours for the preferva- tion of Perinthus; fending thither the flower of their youth, vyith all other neceffaries for an obflinate de¬ fence. *3 How he at found lefs. The confequence of all this was, that Philip himfelf obliged to raife the fiege with great That the reputation of the Macedonian arms might laft gained not fink by this difgrace, Philip made war on the Scy- his pointy 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- well that the Theffalians were not to be depended up¬ on if he attempted to march through the Pife, and that the T hebans would even then be ready to oppofe 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 AEfchines to be fent their deputy to the Amphidlyons. This feemed a {mall matter, and yet was the hinge on which his M A C ... By that time iEfchuies had ta- Macedon. ken his feat, a queftion was ftirred in the council,' v whether the Locrians of Amphifia had not been guilty of facrilege in ploughing the fields of Cyrrha in the neighbourhood of the temple of Delphi. The affembly being divided in their opinions, iEfchines propofed to take a view; which was according decreed. But when the A m phi iffy on s came in order to fee how things flood, the Locrians, either jealous of their property, or fpurred thereto by the iuggeflions of feme w-ho faw farther than themfelves, fell upon thofe venerable pertons lo rudely, that they were compelled to fecure themfelves by flight. 'I he Amphidtyons decreed, that an army Ihould be raifed, under the command of one of their own number, to ebaitife the delinquents; but as this army was to be ccmpoled of troops lent from all parts of Greece, the appearance at the rendezvous was fo inconfiderable, that the Ampbiilyons lent to command them durlt undertake nothing. The whole matter being reported to the council, TEfchines, 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 Ihould eledl Philip for their general, and pray him to execute their decree. The deputies from the other ftates, conceiving that by this expedient their refpeftive conftituents would be free irom any farther trouble or expence, came into it at once ; whereupon a decree was immediately drawn up, purporting that ambaffadors Ihould be fent to Philip’ of Macedon, in the name of Apollo and the Amphic- tyons, once more to require his affiftance, and to no¬ tify to him, that the ftates of Greece had unanimoufly chofen him their general, with full power to a£t as he thought fit againft fuch as had oppofed the authority of the Amphiftyons. Thus of a fudden Philip ac-T ,6f quired all that he fought ; and having an army ready jreneral by in expectation of this event, he immediately marched the Arn- to execute the commands of the AmphiCtyons in ap-PhiAyon* pearance, but in reality to accomplilh his own de- figns : For having paired into Greece with his army, inftead of attacking the Locrians, he feized immedi¬ ately upon Elatea, a great city of Phocis upon the river Cephifus. The Athenians in the mean time were in the utmoftIs 0)!p^feci confufion on the news of Philip’s march. However,by the A- by the advice of Demofthenes, they invited the The-Fenians bans to join them againft the common enemy of Greece.an<* Philip endeavoured as much as poffible to prevent thisbanS’ confederacy from taking place ; but all his efforts pro¬ ved ineffeCfual. The Athenians raifed an army, which marched immediately to Eleufis, where they were join¬ ed by the Thebans. The confederates made the bell appearance that had- ever been feen in Greece, and the troops were exceedingly good ; but unfortunately the generals were men of no conduft or Ikill in the mili¬ tary art. An engagement enfued at Cheron^a; where-who^6.e in Alexander commanded one wing of the Macedonian defers at army, and his father Philip the other. 'The confede- Cheromea. 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 MAC an Athenian commander ’M«cedon. upon Stratocles 1 « Come on, brother foldiers, let us drive them back to Macedon which 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 ruffied dawn with impetuo- fity, broke, and routed them with prodigious (laugh¬ ter. The orator Demofthenes behaved very unoecom- ingly in this engagement j for he deferted his poft, 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! (pare my life.” This viftory determined the fate of Greece *, and [ 307 ] MAG cried out, tort a difcovery of his accomplices, they put an end to |Maced.ir,.- 69 *7 Is appointed general againft the Peruans. <58 Is murder¬ ed. from this time we muft reckon Philip fupreme lord of all the Grecian dates. The firft ufe he made of his power wTas to convoke a general affembly, wherein he was recognized generaliffimo, and with full power ap¬ pointed their leader againft the Perflans. Having, by virtue of his authority, fettled a general peace among them, and appointed the quota that each of the dates fliould furnilh 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¬ king war on the Perflans at this time was the affiflance given by the Perflans to the city of Perinthus, as al¬ ready mentioned. In the mean time, however, the king by reafon of the diffenfipns 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 Ion A- lexander ■, which alfo came to fuch a height, that A- lexander retired into Epirus with his mother. Some time afterwards, however, he was recalled, and a re¬ conciliation took place in appearance 5 but in the mean time a confpiracy was formed againft the king’s life, the circumftances and caufes of which are very much unknown. Certain it is, however, that it took effeff, as the king was exhibiting certain (hows in honour of his daughter’s marriage wdth the king of Epirus. Phi¬ lip, having given a public audience to the ambaffadors of Greece, went next day in date to the theatre. All the feats were early taken up ; and the (hows began with ,a fplendid proceffion, wherein the images of the 12 fuperior deities of Greece were carried, as alfo the image of Philip, habited in like manner, as if he now made the 13th, at which the people (houted aloud. Then came the king alone, in a wffiite robe, crowned, with his guards at a confiderable diftance, that the Greeks might fee he placed his fafety only in his con¬ fidence of the loyalty of his fubjefts. Paufanias, the affaffin, however, had fixed himfelf clofe by the d^or of the theatre ; and ohferving that all things fell out as he had forefeen they wmuld, took his “opportunity when the king drew near him, and plunging- his fword in his left fide, laid him dead at his feet. He then fled as faft as he was able towards the place where his horfes were ; and would have efcaped, had not the twig of a vine catched his (hoe and thrown him down. This gave time to fhofe who purfued him to come up with him ; but inftead of fecuring him, in order to ex- his life. _ . With regard to the charafter of this monarch, itfiisclia- appears certain, that he was one of the moft eminent rafter, perfons that ever fat on a throne. Had he lived for fome time longer, he would in all probability have fubdued the Perflans : wffiich was in truth lefs difficult than what he had already done. “ Had that event taken place (fays Dr Gillies), the undertakings of his long and fuccefsful reign would have been ennobled and illuminated by the fplendour of extenfive foreign con- queft. Philip would have reached the height of fuch renown as is obtained by the habits of activity, vigi¬ lance, and fortitude, in the purfuit of unbounded great- nefs 5 and in the opinion of poilerity, would perhaps have furpaffed the glory of all kings and conquerors who either preceded or followed him. Yet, even on this fuppofition, there is not any man of fenfe and probity, who, if he allows himfelf time for ferious re- fteftion, would purchafe the imagined grandeur and profperity of the king of Macedon at the price of his artifices and his crimes •, and to a philolopHer, who confidered either the means by which he had obtained his triumphs, or the probable confequences of his domi¬ nion over Greece and Afia, the bufy ambition of this mighty conqueror would appear but a deceitful feene of fplendid mifery.” 70 No fooner did the news of Philip’s death reach A - Extrava- thens, than, as if all danger had been part, the inhabi-S^J0^ tants (bowed the moft extravagant figns of joy. De-then'iansJ mofthenes and his party put on chaplets of flowers, and behaved as if they had gained a great viftory. Pho- cion reproved them for this madnefs j bidding them remember, that “ the army which had beaten them at CheronEea was leffened but by one.” This reproof, however, had very little effedft. The people heard with pleafure all the harftr things which the orators could fay of the young Alexander king of Macedon, whom they reprefented as a giddy wrong-headed boy, ready to grafp all things in bis imagination, and able to per¬ form nothing. The affairs of Macedon indeed were in a very diftrafted date on the accefllon of Alexander: for all the neighbouring nations had the fame notion of the young king with the Athenians ; and being ir¬ ritated by the ufurpations of Philip, immediately re¬ volted •, and the dates of Greece entered into a con¬ federacy againft him. The Perfians had been con¬ triving to transfer the war into Macedon ; but as foon as the news of Philip’s death reached them, they be¬ haved as if all danger had been over. At the fame time Attains, one of the Macedonian commanders, afpired to the crown, and fought to draw off the fol¬ diers from their allegiance. In the councils held on this occafton, Alexander’s bell friends advifed him rather to make ufe of diffimu- lation than force, and to cajole thofe whom they thought he could not fubdue. Thefe advices, how¬ ever, were ill fuited to the temper of their monarch. He thought that vigorous meafllres only were proper, and therefore immediately led his army into Theffaly. 71 Here he harangued the princes fo effeftually, that he thoroughly gained them over to his intereft, and was generai 0£- by them declared general of Greece \ upon which he Greece, returned to Macedon, where he caufed Attalus to be feized and put to death. O 2 In 72 Defeats the Triballi. MAC [ 308 ] MAC In the Spring of the next year (335 B. C.) Alex- and all the prifoners fold for-flaves $ by which 440 ta- Macedon. ander refolved to fubdue the Triballians and Illyrians, lents were brought into the king’s treafury. i“ v”—J who inhabited the countries now called Bulgaria and By this feverity the reft of the Grecian ftates were Sclavonia, and had been very formidable enemies to fo thoroughly humbled, that they thought no more of the Macedonian power. In this expedition he difco- making any refiftance, and Alexander had nothing fur- vered, though then but 20 years of age, a furprifing ther to hinder him from his favourite project of invad- degree of military knowledge. Having advanced to ing Alia. Very little preparation was neceffary for the paffes of Mount Hsemus, he found that the barba- the Macedonian monarch, who went out as to an af- rians had polled themfelves in the moft advantageous fured conqueft, and reckoned upon being fupplied only manner. On the tops of the cliffs, and at the head of by the fpoils of his enemies. Hiftorians are not agreed every paffage, they had placed their carriages and wag- as to the number of his army : Arrian fays, that there Number of 73 The The¬ bans revolt on the news of his death. gons in fuch a manner as to form a kind of parapet were 30,000 foot and 5000 horfe. Diodorus Siculus the army with their ftxafts inwards,-that when the Macedonians tells us, that there were 13,000 Macedonian foot, 7000 fhould have half afeended the rock, they might be able of the confederate ftates, and 5000 mercenaries. Thefe e to pufti thefe heavy carriages down upon them. They were under the command of Parmenio. Of the Odri- reckoned the more upon this contrivance, becaufe of fians, Triballians, and Illyrians, there were 5000 *, and the clofe order of the phalanx, which, they imagined, of the Agrians, who were armed only with darts, ioool. would be terribly expofed by the folders wanting As for the horfe, he tells us there were 1800 corn- room to ftir, and thereby avoid the falling waggons, manded by Philotas, and as many Theffalians under ' But Alexander, having dire&ed his heavy armed troops the command of Callas : out of the confederate ftates of to march, gave orders, that, where the way would per- Greece, were 600 commanded by Eurygius ; and 90a mit, they iliould open to the right and left, and fuffer Thracians and Paeonians, who led the van under Cat- the carriages to go through j but that, in the narrow fander. Plutarch tells us, that, according to a low paffes, they ftiould throw themfelves on their faces with computation, he had 30,000 foot and 5000 horfe $ and, according to the largeft reckoning, he bad 34,000 foot and 4000 horfe. As to his fund for the pay¬ ment of the army, Ariftobulus fays it was but 70 ta¬ lents j and Oneficritus, who was alfo in this expedition, not only takes aw*ay the 70 talents, but aftirms that the king was 200 in debt. As for provifions, there was juft fufficient for a month and no more ; and to The next exploits of Alexander were agaJnft the prevent difturbances, Antipater was left in Macedon Getae, the Tanlantii, and fbme other nations inhabit- with I2,Q00 foot and 1500 horfe. ^ ing the country on the other fide of the Danube. The army having affembled at Amphipolis, he Sets out on Them he alfo overcame •, fhowing in all his adlions marched from thence to the mouths of the river Stry- bis expedi- the moft perfedl (kill in military affairs, joined with the mon •, then crofting Mount Pangaeus, he took the roadtl0n- greateft valour. In the mean time, however, all Greece to Abdera. Croffmg the river Ebrus, he proceeded was in commotion by a report which had been confi- through the country of Paetis, and in 20 days reached dently fpread abroad, that the king was dead in Illy- Seftos ; thence he came to Eleus, where he facrificed ria. The Thebans, on this news, feized Amyntas and on the tomb of Protefilaus, becaufe he was the firft Timolaus, two eminent officers in the Macedonian gar- among the Greeks who at the fiege of Troy fet foot rifon which held their citadel, and dragged them to the on the Aftatic ftiore. He did this, that his landing market-place, where they were put to death without might be more propitious than that of the hero to either form or procefs, or any crime alleged againft whom he facrificed, who was flain foon after. The them. Alexander, however, did not fuffer them to greateft part of the army, under the command of Par- remain long in their miftake. He marched with fuch menio, embarked at Seftos, on board a fleet of 160 ’ ‘ galleys of three benches of oars, befides fmall craft. their fhields behind them, that the carts might run over them. This had the defired effefl; and the Ma¬ cedonians reached the enemies works without the lofs of a man. The djfpute was then quickly decided ; the barbarians were driven from their polls with great flaughter, and left behind them a confiderable booty for the conquerors. 74 Thebes taken and deitroyed. expedition, that in feven days he reached Pallene in Theffaly j and in fix days more he entered Bceotia, before the Thebans had any intelligence of his palling the ftraits of Thermopylae. Even then they would not believe that the king was alive ; but infilled that the Macedonian army was commanded by Antipater, or by one Alexander the fon of iEropus. The reft of the Greeks, however, were not fo hard of belief $ and therefore fent no afliftance to the Thebans, who were thus obliged to bear the confequences of their own folly and obftinacy. The city was taken by ftorm, and the inhabitants were for fome hours maffacred with¬ out diftin£Hon of age or fex •, after which the houfes were demolifhed, all except that of Pindar the famous p©et, which was fpared out of refpe£l to the merit of its owner, and becaufe he had celebrated Alexander I. king of Macedon. The lands, excepting thofe deftin- ed to religious ufes, were lhared among the foldiers, Alexander himfelf failed from Eleus j and when he was in the middle of the Hellefpont, offered a bull to Neptune and the Nereids, pouring forth at the fame time a libation from a golden cup. When he drew near the Ihore, he launched a javelin, which ftuck in the earth : then, in complete armour, he leaped upon the ftrand j and having eredled altars to Jupiter, Mi¬ nerva, and Hercules, he proceeded to Ilium. Here again he facrificed to Minerva ; and taking down fome arms which had hung in the temple of that goddefs fince the time of the Trojan war, confecrated his; own in their ftead. He facrificed alfo to the ghoft of Priam, to avert his wrath on account of the defeent which he himfelf claimed from Achilles. In the mean time the Perfians had affembled a great army in Phrygia j among whom was one Mem non a Rhodian, the bell officer in the fervice of Darius. A- lexander, M A C [ 3°9 ] MAC Macedon. f See Gra- nicus. 77 Cinfequen- ces of his lexander, as foon as he had performed all the ceremo¬ nies which he judged necelTary, marched dire£tlj to¬ wards the enemy. Memnon gave it as his opinion, that they Ihould burn and deftroy all the country round, that they might deprive the Greeks of the means of fubfirting, and then tranfport a part of their army into Macedon. But the Perfians, depending on their cavalry^rejected this falutary advice; and ported them- felves along the river Granicus, in order to wait the arrival of Alexander. In the engagement which hap¬ pened on the banks of that river, the Perfians were defeated f, and Alexander became mafter of all the neighbouring country ; which he immediately began to take care of, as if it had been part of his hereditary dominions. The city of Sardis was immediately de¬ livered up ; and here Alexander built a temple to Ju- firft victory, piter Olympius. After this, he reftored the Ephefians to their liberty ; ordered the tribute which they for¬ merly paid to the Perfians to be applied towards the rebuilding the magnificent temple of Diana : and having fettled the affairs of the city, marched againrt Miletus. This place was defended by Memnon with a confiderable body of troops who had fled thither af¬ ter the battle of Granicus, and therefore made a vigo¬ rous refiflance. The fortune of Alexander, however, prevailed; and the city was loon reduced, though Memnon with part of the troops efcaped to Halicar- naffus. After this, the king difmiffed his fleet, for which various reafons have been afligned ; though it is probable, that the chief one was to Ihow his army that their only refource now was in fubverting the Per- fian empire. Almoft all the cities betw-een Miletus and Halicar- naffus fubmitted as fobn as they heard that the former was taken •, but Halicarnaffus, where Memnon com- ' manded with a very numerous garrifon, made an oblti- nate defence. Nothing, however, was able to refirt; the Macedonian army. Memnon was at laft obliged to abandon the place ; upon which Alexander took and razed the city of Tralles in Phrygia; received the fubmiflion 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 wrould feem, to a precept of the Mofaic law, and wrhich endeared him more to his foldiers than any other adrtion 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 Ihort 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 miraeffous, and compared to that of the children of Ifrael through the Red fea; while, on the other fcand, it is the opinion of others, that there was no¬ thing at all extraordinary in it. He continued his march towards Gordium, a city of Phrygia ; the ene¬ my having abandoned the ftrong pafs of Telmiffus, through which it w7as neceffary for him to march. IVTacarkm. When he arrived at Gordium, and found himfelf un- der a neceffity of flaying fome time there till the fe¬ veral 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 publithed to the world. The cord in which this knot was tied, was made of the inner rind of the cornel tree ; and no eye could perceive where it 78 had begun or ended. Alexander, when he could find Unties the no poffible way of untying, and yet was unwilling po; 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 requiiite in the prefent fituation of his affairs. The Th&fialian horfe, MAC [ 31 Macedon. liorfe, wlio had deferved exceedingly well of him in all his battles, he difmiiTed according to his agreement ; gave them their whole pay, and ordered 2000 talents over and above to be diftributed among them. He then declared that he would force no man : but if any were willing to ferve him longer for pay, he de- lired they would enter their names in a book, which a great many of them did j the reft fold their horfes, and prepared for their departure. The king appointed Epocillus to conduft them to the fea, and alfigned him a body of horfe as an efcort : he like wife fent Menetes with them, to take care of their embarkation, and that they were fafely landed in Eubcea without any expence to themfelves. On receiving frefh information concerning the ftate of Darius’s affairs, the king fet out again in purfuit of him, advancing as far as Rhages, a city one day’s journey from the Cafpian fl rails : there he under [food 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 Da¬ rius had left prifoner at Sufa, was made governor of Media, while the king departed on an expedition into Parthia. The Cafpian ftraits he paffed irmnediately without opposition •, and then gave directions to his of¬ ficers to colled: a quantity of provifions fufficient to ferve his army on a long march through a tvafted coun¬ try. But before his officers could accomplifh thofe commands, the king received intelligence that Darius had been murdered by Beffus, one of his own fubje&s, and governor of Badria, as is related at length under the article Persia. As foon as Alexander had colleCled his forces to¬ gether, and fettled the government of Parthia, he entered Hyrcania j and having, according to his ufual cuftom, committed the greateft part of his army to the care of Craterus, he, at the head of a choice body of troops, paffed through certain craggy roads, and before the arrival of Craterus, who took an open and eafy path, ftruck the whole provinces with fuch terror, that all the principal places w7ere immediately put into his hands, and foon after the province of Aria alfo fubmitted, and the king continued Satibarzanes the governor in his employment.—The redudion of this province finilhed the conqueft of Perfia ; but the ambition of Alexander to become matter of every na¬ tion of which he had the leaft intelligence, induced him to enter the country of the Mardi, merely be- caufe its rocks and barrennefs bad hitherto hindered any body from conquering, or indeed from attempt¬ ing to conquer it. This conqueft, however, he eafily accomplifhed, and obliged the whole nation to fub- mit to bis pleafure. But in the mean time difturbances began to arife in Alexander’s new empire, and among Ins troops, wftiich all his adivity could not thorough¬ ly fupprefs. He had fcarcely left the province of Aria, when he received intelligence, that the traitor Beffus had caufed himfelf to be proclaimed king of Afia by the name of Artaxerxes; and that Satibarzanes bad joined him, after having maffacred all the Macedonians who had been left in the province. Alexander ap¬ pointed one Arfames governor in the room of Satibar¬ zanes 5 and marched thence wuth his army againft the Zarangce, who, under the command of Bafzaentes, one of thofe who had confpired againft Darius, had taken up 1 MAC , *5 ■tpho is murdered. 86 Alexander reduces Hyrcania. arms, and threatened to make an obftinate defence. Macedoa. ^ But their numbers daily falling off, Barzaentes being U‘ afraid they would purchafe their own fafety at the ex¬ pence of his, privately withdrew from his camp, and, crofting the river Indus, fought fhelter among the na¬ tions beyond it. But they, either dreading the poiver of Alexander, or detefting the treachery of this Perfian towards his former mafter, feized and delivered him up to Alexander, ivho caufed him immediately to be put to death. 87 The immenfe treafure which the Macedonians had The Macc- acquired in the conqueft of Perfia began now to cor-cH>mai?s rupt them. The king himfelf was of a moft generous fejves Upt0 difpofition, and liberally bellowed his gifts on thofe luxury, around him •, but they made a bad ufe of his bounty, and fooliftily indulged in thofe vices by which the for¬ mer poffeffors of that wealth had loft it. The king did all in his powrer to difcourage the lazy and inr-'tive' pride which now began to fhow itfelf among his of¬ ficers } but neither his difcourfes nor his example had any confiderable effiedh The manners of his courtiers from bad became worfe, in fpite of all he could fay or do to prevent it; and at laft they proceeded to cenfure his condufl, and to exprefs themfelves with fome bitternefs on the fubjeft of his long continuance of the wrar, and his leading them confiantly from one labour to another. This came to fuch a height, that the king was at laft obliged to ufe fome feverity, in' or¬ der to keep his army wuthin the limits of their duty. 88 From this time forward, however, Alexander himfelf Alexander began to alter his conduft ; and by giving a little *n_ ^he^PeTfian to the cuftoms of the Orientals, endeavoured to fe-cuftoms, cure that obedience from his new fubjecls which he found fo difficult to be preferved among his old ones. He likexvife endeavoured, by various methods, to blend the cuftoms of the Afiatics and the Greeks. The form of his civil government refembled that of the ancient Perfian kings: in the military affairs hcwr- ever, he preferved the Macedonian difeipline j but then he made choice of 30,000 boys out of the pro¬ vinces, whom he caufed to be inftrudled in the Greek language, and direfted to be brought up in fuch a manner as that from time to time he might with them fill up the phalanx. The Macedonians faw with great concern thefe extraordinary meafures, which fuited very ill with their grofs underftandings j for they thought, after all the vitffories they had gained, to be abfolute lords of Afia, and to poffefs not only the riches of its inhabitants, but to rule the inhabitants them¬ felves : whereas they now faw, that Alexander meant no fuch thing •, but that, on the contrary, he con¬ ferred governments, offices at court, and all other marks of confidence and favour, indifcrimihately both on Greeks and Perfians.—From this time alfo the king feems to have given inftances of a cruelty he had never ffiown before. Philotas his moft intimate friend was feized, tortured, and put to death for a confpiracy of which it could never be proved that he was guilty •, and foon aYter Parmenio and fome others were executed without any crime at all real or al- ledged. Thefe things very much difturbed the army. Some of them wrote home to Macedon of the king’s fufpicions of his friends, and his difpofition to hunt cut enemies at the very extremities of the world. A- lexander having intercepted fome of thefe letters, and procured i MAC [ 3 1 Mru crlon, procured the beft in Formation he could concerning v' ^ their authors, picked out thefe diffatisfied people, and having difpofed them into a corps, gave it the title of the turbulent battalion; hoping by this means to prevent the fpirit of difaffedtion from pervading the whole army. As a farther precaution againft any future confpira- cy, Alexander thought fit to appoint Hephaeflion 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 furnifli him with the means of carrying them into execution. To keep his forces in aftion, he fuddenly marched into the coun¬ try of the Euergetse, i. e. Benefaclors ; and found them full of that kind and hofpitable difpofition for which that name had been bellowed on their anceftors : he therefore treated them with great refpedl *, and at his departure added fome lands to their dominions, w’hich lay contiguous, and which for that reafon they had re- quefted of him. Furning then to the eafl, he entered Arachofia, the inhabitants of which fubmitted without giving him any trouble. While he pafled the winter in thefe parts, the king received advice, that the Arians, whom he had fo lately fubdued, were again up in arms, Sati- barzanes being returned into that country with two thoufand horfe afligned him by Beflus. Alexander in- flantly defpatched Artabazus the Perfian, with Erigyus and Caranus, two of his commanders, with a confi- derable body of horfe and foot; he likewife ordered Sj> Phrataphernes, to whom he had given the govern- Satibarza- ment of Parthia, to accompany them. A general nes defeat- engagement enfued, wdierein the Arians behaved ve- Vd'11^ ry we^J as long as their commander Satibarzanes lived ; but he engaging Erigyus, the Macedonian flruck him firfl into the throat, and then, drawing forth his fpear again, through the mouth ; fo that he im¬ mediately expired, and with him the courage of his foldiers, who inftantly began to fly 5 whereupon Alex¬ ander’s commanders made an eafy conqueft of the reft of the country, and fettled it effedlually under his obe¬ dience. The king, notwithftanding 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 crofled the country in x 6 days, he came at length to an open¬ ing leading into Media} which finding of a fufficient breadth, he direfted 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 mercenary foldiers, v.'ho, wTeary of continual fatigue, were con¬ tent to dwell there. Having thus fettled things in this province, facrificed folemnly to the gods, and ap¬ pointed Proexes the Perfian prefident thereof with a fmall body of troops under the command of Niloxenus to aflift him, he refumed his former defign of penetrat¬ ing into Badlria. Befius, who had affumed the title of Artaxerxes, when he was affured that Alexander was marching tow-ards him, immediately began to wafte all the coun¬ try between Paropamifus and the river Oxus 5 which 2 90 J5eiTus re¬ duced and put to death. 12] MAC river he pafled with all his forces, and then burnt all Macedon. the veflels he had made ufe of for tranfportinT them ~—v— retiring to Nautaca, a city of Sogdia; fully perfuad- ed, that, by the precautions he had taken, Alexander would be compelled to give over his purfuit. This conduft of his, however, difheartened his troops, and gave the lie to all his pretenlions; for he had affefted to cenfure Darius’s conduft, and had charged him with cowardice, in not defending the rivers Euphrates and Tigris, whereas he now quitted the banks of the moft defenfible river perhaps in the wdiole world. As to his hopes, though it cannot be faid they were ill founded, yet they proved abfolutely vain j for Alexan¬ der, continuing his march, notwithftanding all the hard- ftiips^ his foldiers fuftained, reduced all Badtria under his obedience, particularly the capital Badlria and the ftrong caftle 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 continued his march to the river Oxus : on the banks of xvhich when he arrived, he found it three quarters of a mile over, its depth more than proportionable to its breadth, its bottom fandy, its ftream fo rapid as to render it almoft unnavigable, and neither boat nor tree in its neighbourhood ; lb that the ableft commanders in the Macedonian army wrere of opinon that they fhould be obliged to march back. The king, however, having firft fent away, under a proper efcort, all his infirm and worn-out foldiers, that they might be con¬ duced fafe to the fea-ports, and from thence to Greece, devifed a method of palling this river without either boat or bridge, by cauiing the hides which covered the foldiers tents and carriages to be Hulled with llraw, and then tied together, and thrown into the river. Having crofted the Oxus, he marched direCly towards the camp of Beffus, where, when he arrived, he found it abandon¬ ed ; but received at the fame time letters from Snita- menes and Dataphernes, who were the chief comman¬ ders under Befliis, lignifying, that, if he would fend a fmall party to receive Beffus, they would deliver him into his hands 4 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 continued 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, though he overcame them, his army luffered much j and the revolted Sogdians being headed by Spitamenes, gave him a great deal of trouble. Here Alexander he married Roxana the daughter of Oxyartes, a prince marries of the country whom he had fubdued. But duringRoxana' tbefe 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 di¬ vine honours. At lafted he arrived at the river Indus, where Hephas- Paffesthe ftion and Perdiccas had already provided a bridge ofIn^ius• boats for the paflage of the army. The king refrelhed his troops for 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 ar¬ my now with 700 Indian horfe, to which, when they W'.ere to enter upon atftion, he .afterwards added 5000 foot, MAC f • Macedon. foot. The true reafon of this feems to have been his i“—v~—,; enmity to Porus, a famous Indian prince whofe terri¬ tories lay on the other lide of the river Plydafpes. During this recefs, the king facrificed with great fo- lemnity •, receiving alfo ambaffadors from Ambifurus, a very potent prince, and from Doxareas, who was likewife a king in thofe parts, with tenders of their duty, and confiderable prefents. Thefe ceremonies over, Alexander appointed Philip governor of Taxila, and put a Macedonian garrifon into the place, becaufe he intended to erefl an hofpital there for the cure of his fick and wounded foldiers. He then ordered the vef- fels, of which his bridge had been compofed when he paifed the Indus, to be taken to pieces, that they might be brought to the Hydafpes, where he was informed that Porus with a great army lay encamped to hinder his pafiage. When he approached 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 to be fubdued as the Perfians and other Afiatics. The Indians were not only a very tall and robuft, but alfo a very hardy and well difciplined people ; and their king Porus was a prince of high fpirit, invincible courage, and great conduff. It was about the fummer folftice when Alexander reached the Hydafpes, and confequently its waters were broader, deeper, and more rapid, than at any other time ; for in India the rivers fwell as the fun’s increafing heat melts the fnow, and fubfide again as winter approaches. Alexander therefore had every dif¬ ficulty to ftruggle with. Porus had made his difpofi- tions fo judicioufly, that Alexander found it impoffible to pradlife upon him as he had done upon others, and to pafs the river in this view : wherefore he was con- 11 rained to divide his army into fmall parties, and to praftife other arts, in order to get the better of fo vi¬ gilant a prince. To this end he caufed a great quan¬ tity of corn and other provifions to be brought into his camp •, giving out, that he intended to remain where he was till the river fell, and by becoming fordable fhould give him an opportunity of forcing a paffage : this did not, however, hinder Porus from keeping up very ftrift difcipline in his camp j which when Alex¬ ander perceived, he frequently made filch motions as feemed to indicate a change of his refolution, and that he had Hill thoughts of palling the river. The main thing the Macedonians flood in fear of were the ele¬ phants ; for the bank being pretty fleep on the other fide, and it being the nature of horfes to ftart at the firft appearance of thofe animals, it was forefeen that the army wrould be difordered, and incapable of fuftaining the charge of Porus’s troops. At length Alexander paffed the river by the follow¬ ing contrivance. There was, at the diftance of 150 fladia from his camp, a rocky promontory proje<51ing into the river, thick covered with wood ; and over- againft this promontory there lay a pretty large unin¬ habited illand almoft overgrowm with trees. The king therefore conceived within himfelf a pr6jecl of convey¬ ing a body of troops from this promontory into that illand; and upon this fcheme he built bis hopes of fur- prifing Porus, vigilant as he was. To this end he kept him and his army conflantly alarmed for many nights together, till he perceived that Porus apprehended it was only done to harafs his troops, and therefore no Vol. XII. Part I. Macedon. 93 And the Hydafpes with diffi¬ culty. U3 ] M A -C longer drew out of his camp, but trufled to his orJi- nary guards : then Alexander refolved to put his delign in execution. A confiderable body of horfe, the Ma¬ cedonian phalanx, with fome corps of light-armed foot, he left in his camp under the Command of Cra- terus, as alfo the auxiliary Indians, giving thefe orders, to be obferved in his abfence, that if Porus marched againfl him with part of his army, and left another part with the elephants behind in his camp, Craterus and his forces Ihould remain where they were ; but if it fo happened that Porus withdrew his elephants, then Cra¬ terus was to pafs the river, becaufe his cavalry might then do it fafely. Alexander having marched half the wTay, or about nine of our miles, ordered the merce¬ nary troops under the command of Attalus and other generals, to remain there 5 and direfted them, that as loon as they knew he was engaged with the Indians on the other fide, they Ihould pafs in veffels provided for that purpofe, in order to alfift him. Then march¬ ing a long way about, that the enemy might not per¬ ceive his defign of reaching the rock, lie advanced as diligently as he could towards that poll. It happened very fortunately for him, that a great ftorm of thun¬ der, lightning, and hail, rofe in the night, whereby his march was perfectly concealed, his veffels of 30 oars put together, and his tents fluffed and Hitched, fo that they palled from the rock into the itland, without being perceived, a little before break of day j the ftorm ceafing juft as he and his foldiers wrere ready for their paffage. When they had traverfed the illand, they boldly fet forward to gain the oppofite Ihore in fight of Porus’s outguards, who inftantly polled away to give their mailer an account of the attempt. Alexander landed firft himfelf, and w’as followed as expeditioully as poffible by his forces, whom he took care to draw up as fall as they arrived. When they began their march again, they found that their good fortune wras not fo great as at firft they eileemed it j for it appeared now7, that they had not reached the continent at all, but were in truth in another illand much larger than the former. They croffed it as fall as they could, and found that it w7as divided from the terra Jlrma by a narrow channel, which, hovvever, was fo fvvelled by the late heavy rain, that the poor foldiers were obliged to wade up to the breaft. When they were on the other fide, the king drew7 them up again carefully, ordering the foot to march Howdy, they being in number about 6000, while himfilf with 5000 borfe advanced before. As foon as Porus received intelligence that Alexander was actually paffing the river, he lent his fon with 2000 hoife and 120 armed chariots, to oppofe him. But they came too late : Alexander was already got on fhore, and even on his march. When the Macedonian fcouts perceived them .^1 vance, they informed the king, who fent a detachment Porus de- to attack them, remaining ftill at the head of his ca- *e.atcd and valry in expe&ation of Porus. But when he found kilkd‘ that this party was unfupported, he inftantly attack¬ ed with all his horfe, and defeated them with the Daughter of many, and the lofs of all their armed chariots, the fon of Porus being llain in the fight. I he remainder of the horfe returning to the camp with tins difaftrous account, Porus was in fome confufion : however, he took very quickly the belt and vifeft re- foiulions his circumftances wrould allow7: which were, R r to ad- 1 he ion of MAC [31 Macp.-Ton to leave a party of his army, with fome of his e e- phants, to oppofe Craterus, who was now aiou to pafs the river all'o •, and, with the relt, to march againft Alexander and his forces, wdio were already palled. This reiolution once taken, he marched immediately out of his camp at the head of 4000 horfe, 30,000 foot, 300 chariots, and 200 elephants. He advanced as expeditioully as he could, till he came into a plain which was iirm and fandy, where his chariots and ele¬ phants might act to advantage : there he halted, that he might put his army in order, knowing w'ell that he need not go in quell of his enemy. Alexander fcon came up with his horfe, but he did not charge Porusj on the contrary, he halted, and put his troops in or¬ der, that they might be able to defend themfelves in cafe they were attacked. When he had waited fome time, his foot arrived ; whom he immediately furround- ed with his horfe, that, after fo fatiguing a march, they might have time to cool and breathe themfelves, before they wTere led to engage. Porus permitted all this, be- caufe it w’as not his intereil to fight, and becaufe he depended chiefly upon his order of battle, the elephants covering his foot, fo that the Macedonians could not charge them. Porufhim- When Alexander had difpofed his foot in proper fell defeat- order, he placed his horfe on the w-ings : and, oblerv- ed. ing that he was much fuperior in them to the enemy, and that the cavalry of Porus w^ere eafy to be charged, he refolved to let the foot have as little (hare as pollible in the battle. To this end, having giving the neceffa- ry directions to Coenus who commanded them, he w’ent himfelf to the right, and with great fury fell upon the left wing of Porus. The difpute, though Ihort, was very bloody: the cavalry of Porus, though they fought gallantly, wrere quickly broken j 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 wmunded many of the elephants, and killed mofi. of their riders, fa that they did not prove lefs troublefome and dangerous to their own fide than to the Macedo¬ nians j whence a great confufion enfued: and Coenus, taking this opportunity, fell on with the troops under his command, and entirely defeated the Indian army. Porus himfelf behaved with the greateft intrepidity, and with the moft excellent conduCl : he gave his or¬ ders and direCled 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 rell of the Macedonian army 5 and thefe, fal¬ ling upon the flying Indians, increafed the daughter of the day exceffively, infomuch that 20,000 foot and 3000 horfe were killed, all the chariots were hacked to pieces, and the elephants not killed wrere taken ; two of Porus’s fons fell here, as alfo moil of his officers of all ranks. As for Porus, Alexander gave ilriCl directions that no injury might be done to his perfon : he even fent Taxiles to perfuade him to furrender himfelf, and to affure him that he ihould be treated with all the kind- nefs and refpeft 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 4 1 M A C of his hcr’e, Meroe the Indian, who was alfo in the Mace Jon. fervice of Alexander, fucceeded better : he had been ' the old acquaintance of Porus 5 and therefore when he entreated that prince to fpare his perfon, and to fubmit himfelf to fortune and a generous viclor, Poms &!-He fubmits lowed his advice ; and we may truly fay, that the con-to Alexan- dition of this Indian king fuffered nothing by the lofs Jer. of the battle. Alexander immediately gave him his li¬ berty, reftored him fliortly after to his kingdom, to which he annexed provinces almoft equal to it in va¬ lue. Neither w'as Alexander a lofer by his munifi¬ cence •, for Porus remained his true friend and con- ilant ally. To perpetuate the memory of this viclory, Alex¬ ander ordered two cities to be eredled j one on the field of battle, which he named Niccea; the other on this fide the river, which he called Bucepha/a, in ho¬ nour of his horfe Bucephalus, who died here, as Ar¬ rian fays, of mere old age, being on the verge of 30. All the foldiers who fell in the battle, he uuried with great honours; offered folemn facrifices to the gods, and exhibited pompous ftiows on the banks of the Hydafpes, where he had forced his paffage. He than entered the territories of the Glaufse, 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 ambaffaflors arrived from fome Indian princes with their fubmiflions : and Alexander havinp- 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 Oxydracae, and the Malli, the moil warlike nations of India, were confederated againft the Macedonians, and had drawn together a great army. The king immediately marched to give them battle; and in a few days reached a city called Sanga/a, feated on the top of a hill, and having a py fine lake behind it. Before this city the confederate Sangala Indians lay encamped, having three circular lines oftaken‘ carriages locked together, and their tents pitched in the centre. Notwithflanding the apparent difficulty of forcing thefe intrenchments, Alexander refolved im¬ mediately to attack them. The Indians make a noble defence ; but at lafl: 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 refiltance 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 lides as far as the lake; and, on the other fide of that, ordered feveral brigades of horfe to take poll 3 order¬ ing alfo battering engines to be brought up, and in fome places employing miners. The lecond night, he received intelligence that the befieged, knowing the lake to be fordable, intended to make their efcape 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 direftions to Ptolemy, who commanded MAC [ 3*5 1 MAC Macedon. commanded the horfe on the other fide of the lake, to ’ ^ 1 be extremely vigilant, and to caufe all his trumpets to found, that the forces might repair to that port where the Indians made their greateft effort. Thefe pre¬ cautions had all the effedt that could be defired : for of the few Indians who got through the lake, and pafifed the Macedonian horfe, the greater part were killed on the roads; but the greateft part of their army was conftraintd 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 j but they had 1 200 wounded, and among thefe feveral perfons of great diftindlion. The city was no fooner taken, than Alexander de- fpatched Eumenes his fecretary, with a party of horfe, to acquaint the inhabitants of the cities adjacent with what had befallen the Sangalans; promifing alfo, that they fhould be 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 j 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 Andmzed. mercy. Perceiving that it was impoffible to perfuade ^ the inhabitants to return, he caufed the city of San- gala to be razed, 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 beyond that river. He w'as told that they were in themfelves rich and fruitful j that their inhabitants w’ere not only a very martial people, but very civilized; that they, were governed by the nobility, who were themfelves fubjeft to the laws; and that as they lived in happinefs and freedom, it was likely they would fight obftinately in defence of thofe bleflings. 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 defire to reduce fuch a bold and brave people under his rule, and of attaining to the pofleflion of the many valuable things that were faid to be amongft them. As exorbitant, however, as his perfonal ambition was, he found it impoflible to infufe any part of it into the minds of his foldiers; who were fo far from wifhing to triumph over new and remote countries, that they pp were highly defirous of leaving thofe that they had Alexander’s already conquered. When therefore they were in¬ troops re- formed of the king’s intentions, they privately con- ceed ^te<^ together in the camp about the fituation of ther. their own affairs. At this confultation, the graveft and beft of the foldiers lamented that they were made ufe of by their king, not as lions, w’ho fall fiercely upon thofe who have injured them •, but as maftiffs, who fly upon and tear thofe who' are pointed out to them as enemies. The reft were not fo modeft 5 but expreffed themfelves roundly againft the king’s humour Macedon. for leading them from battle to battle, from fiege to v ' fiege, and from river to river ; protefting that they would follow him no further, nor lavifti 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 w’as yet very ftrong, they did not relent. For fome time the foldiers remained fullen 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 5 and told Alexander frankly, “ That men endured toil in hopes of repofe j that the Macedonians were already much reduced in their numoers $ that of thofe who remained, the greater part were invalids; and that they expeded, in confideration of their former fer- vices, that he would now lead them back to their na¬ tive country: an ad which, of all others, would moil 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 j that he would proceed in his conquefts with fuch as ihould follow him voluntarily ; as for the reft, he would not detain them, but wrould leave them at liberty to go home to Macedon, where they might publifti, “ that they had left their king in the midft of his enemies.” Even this expedient had no fuccefs ; his army was fo thoroughly tired with long marches and defperate battles, that they were determined to go no further, either for fair fpeeches or foul. Upon this 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 j 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- too fembled in great numbers about the royal tent, falut- **e con" ing the king with loud acclamations, wilhing him t^s t0 *e" fuccefs in all his future defigns j 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 ftop being thus put to the conquefts of Alexan¬ der, he determined to make the Hyphafis the boun¬ dary of his dominions ; and having ere6led twelve altars of an extraordinary magnitude, he facrificed on them : after which he exhibited (hows in the Grecian manner j and, having added all the conquered country in thefe parts to the dominions of Porus, he R r 2 began k A c •tiaceuon. lor ''Ails down the Indus. r ^ U L O oegan to return. Having arrived at the Hydafpes, he made the neceiTary preparations for failing down the Indus into the ocean. For this purpole, he or¬ dered vaft quantities of timber to be felled in the neigiibourhood ox the Hydaipes, through which he was to fail into the Indus; he caufed the veffels with which he had pafied other rivers to be brought thi¬ ther, and ailembled a vaft number of artificers capable of repairing and equipping his fleet; which, when finifhed, confifted of bo veilels of three banks of oars, and 2QCO leiler (flips and tranfports. Xhofe who were to manage this ileet were collected out from the Phoe¬ nicians, Cyprians, Carians, and Egyptians following nis army, and who were reckoned perfectly well fkilled m 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. i hen ne hunfelt went on board ; and caufing the fig* nal to be given by found of trumpet, the fleet fet fail. Craterus and Hephaeflion had marched fome days be¬ fore witn anotner divifion 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 tire Oxydracse paid Mhlli were railing forces to oppoie 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 coafls of the people above mentioned, he him- ielf fuftained no fmall danger; for, coming to the confluence of the Aceflnes with the Hydafpes, from whence both rivers roll together into the Indus, the eddies, whirlpools, and rapid currents, rufhing with tremendous noife from the refpe&ive channels of thofe rivers into the great one formed by them both, at once terrified thofe ivho navigated his veiTels, and ac¬ tually deftroyed 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 little at a lofs. As loon as this danger was over, Alexander went on fliore ; and having ordered his elephants with fome troops of 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 firfl commanded by himfelf, the fecond by Hephae- ilion, and the third by Ptolemy. Hephaeftion had orders to move filently through the heart of the coun¬ try, five days march before the king ; that if, on Alexander’s approach, any of the barbarians fhould attempt to Ihelter themfelves by retiring into the country, they might fall into the hands of Hephxe- fiion. Ptolemy Lagus wTas ordered to march three days journey behind the king, that if any efcaped his army, they might fall into Ptolemy’s hands ; and the iieet had orders to flop at the confluence of this river with the Hydraotes till fuch time as thefe feveral corps Ihould arrive. His expedi- Ale.xander himfelf, at the head of a body of horfe tion againftanr^ light armed foot, marched through a defert the Malli. country againft the Malli; and, fcarce affording any reft to his foldiers, 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 *6 ] M A C people having no notion that Alexander would march Mkcedon. throuah fnr-n a anri K -1 through fuch a defert and barren .region, were ad un¬ ci, and in the utrnoit confufion. Many of them arms therefore were flain in the field ; the reft He'd into the city, and (hut. the gates. But this only protraded their fate for a fliort time; for the king, baviao- cr_ dered the city to be invefted by his cavalry, took it as well as the caftle, by ftorm, and put all he found’ tnere to. the fword. He fent at the fame time Per- diccas with a confiderable detachment, to inveft an¬ other 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 leveral other cities, but not without confiderable refiftance ; for the Indians fome- times chofe to burn themfelves in their houfes rather than furrender.. At laft he marched to their capital city ;. and finding that abandoned, he proceeded to th* river Hydraotes, where he found 50,000 men encamped on the oppolite bank, in order to difpute his paffage. He did not hefitate, however, to enter the river with a confiderable party of horfe: and fi> much were the Indians terrified at his prefence, that their whole army retired before him. In a fhort time they returned and attacked him, being afhamed to fly before fuch an inconfiderable number; but 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 which Alexander invefted that very night. The next day he ftormed the city with fuch violence, that the inhabitants were compelled to abandon it, and to retire to the caftle, where they prepared for an obftinate defence. The king mftantly gave orders for fcaling the walls, and the foldiers prepared to execute thefe orders as faff as. they could; but the king being impatient caught hold of a ladder and mounted it firft himfelf, being followed. Dy Leonatus, Peuceftas, and Abreas, the latter a man of great valour, and who on that account had double pay allowed him. i he king having gained the top of the battlements, cleared them quickly of the defend- 103 ants, killing fome of them with his fword, and pufh- His deifie- ing others over the walls: but after this was done, herate valouiy was in.more danger than ever; for the Indians galledand 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 ruftied forward to attack him; but Alexander inftantly defpatched 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 fliortiy 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, lofing his fenfes, he fell upon his fliield. Peuceftas then covered him with the facred fhield of Pallas on one fide, as did Leonatus with his own fhield on the other, though they themfelves were dreadfully MAC [ 3 Macedon. dreadfully wounded. In the mean time, however, the ' — foldiers on the outfide, eager to fave their king, fup- 104 plied their want of ladders, by driving large iron pins *s,^Lh into the walls. By the help of thele many of them fayed by afcended, and came to the afliftance of Alexander and his men. his companions. The Indians were now llaughtered without mercy \ but Alexander continued for fome time in a very dangerous way : however, he at laid re¬ covered his ftrength, and (howed himfelf again to his army, which filled them with the greateft joy. The Malli, being now convinced that nothing but fubmidion could fave the remainder of them, fent de¬ puties to Alexander, offering the dominion of their country ; as did alfo the Oxydracae: and the king having fettled every thing in thefe countries agreeable ,;jp to his mind, proceeded on his voyage down the river ceetU in his Indus. In this voyage he received the fubmiffion of voyage fome other Indian princes ^ and perceiving, that at down the p0int the illand Pattala, the river divided itfelf 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 down the right hand branch towards the ocean. In his paffage he fuflained great difficulties by reafon of his want of pilots, and at the mouth of the river very narrowly miffed being call away : 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 bulls to Neptune, and thrown them into the lea, perfoimed 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 ether branch of the Indus, that he might 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 Tigris, to meet him and his army in Mefopotamia } but as the poflibility of this voyage depended on the ceafing of the Etefian winds, there was a neceflity of laying up the fleet till the feafon (hould prove favourable. Alexander, there¬ fore, failing through this branch of the Indus, fought on the fea coafl: 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 wi(h ; 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 Iz6 frefli troops as often as there was occafion : then hav- Sets out (bring given his lafl inftrudtions to Nearchus, he de- 35ab)Ion. parted with the reft of the army, in order to march back to Babylon. Before the king’s departure, many of his friends r 7 ] MAC advifed him againft the route which he intended to Macedon. take. They told him, that nothing could be more rafti 'r~~“ or dangerous than this refolution. They acquainted him, that the country through which he -was to travel was a wild uncultivated ctefert j that Semiramis, when fire led her foldiers this way out of India, brought home but 20 of them 5 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 Oritse, who had never vouchiafed either to make their fubmiflion or to court his friendfhip. Their territories lay on the other fide of a river called /Ira¬ kis, which Alexander croffed fo fpeedily, that they had no intelligence of his march ; whereupon mod of them quitted their country, and fled into the deferts. Their capital he found fo well (ituated, that he refolv¬ ed 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 Hephaeftion. Then he received the deputies of the Oritae and Gedrofi y and having affured them, that if the people returned to their villages, they {hould be kindly treated, and having appointed Apol- lophenes prefident of the Oritae, and left a confiderable body of troops under Leonatus to fecure their obe¬ dience, he began his march through Gedfofia. In this IO , march his troops fuffered incredible hardihips. The His dan- road was very uncertain and troublefome, on account gerous of its lying through deep and loofe fands, rifing in many n'iarch 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 foluiers were therefore obliged to kill their beads of carriage ; and fuch as were fent to bring fome corn from the fea fide, were fo grievoufly diftreffed, that, though it was fealed with the king’s lignet, they cut open the bags, choofing rather to die a violent death for difobedience than periih 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 wTater, 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 periftied with third, fo by the latter they were burft, thrown into dropiies, 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 hardihips wTere obliged to lag in the rear ; and of thele 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 occaflon, fuftered greater hardftiips than the meaneft foldier in.his army. At laft MAC [318] MAC 109 Redreffes the grie¬ vances of his people. Macedon. they arrived at the capital of Gedrofia, where they re- - freihed themfelves, and ft aid fome time : after which they marched into Caramania; which being a very plen¬ tiful country, they there made themfelves ample amends for the hardfhips and fatigues they had fuftained. Here they were joined firft by Craterus with the troops un¬ der his command, with 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 bealts of burden, in vaft numbers ; having forefeen, that the king’s march through Gedrofia would be attend¬ ed with the lofs of the greatefl part, if not of all the cavalry and beads belonging to his army. During Alexander’s flay in Caramania, he redreffed the injuries of his people, who had been grievoufly op- preffed by their governors during his abfence. Here alfo he was joined by his admiral Nearchus, who 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 Angular marks of his favour, fent him back to the navy. Alexander next let out for Perfia, where great diforders had been committed during his abfence. Thefe alfo he redreffed, and caufed the governor to be crucified j appointing in his room Peu- ceflas, who faved his life when he fought fingly againil a whole garrifon as above related. The new governor was no fooner invefted 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 affe&ion. 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 for- row for the deftruftion he had formerly occafioned. From Perfepolis he marched to Sufa, where he gave an extraordinary loofe to pleafure j refolving to make hunfelf and his followers fome amends for the difficul¬ ties they had hitherto undergone : purpofing at the fame time fo effectually to unite his newr conquered with his hereditary fubjefts, that the jealoufies and fears which had hitherto tormented both, ftiould no longer fubfift. With this view he married two wives of the blood royal of Perfia ; viz. Barfine, or Statira, the daughter of Darius, and Paryfaiis the daughter of Ochus. Drypetis, another daughter of Darius, he gave to Hephaeftion ; Amaftrine, the daughter of Oxy- artes the brother of Darius, married Craterus j and to the reft of his friends, to the number of 80, he gave other wojnen of the greateft quality. All thefe mar¬ riages were celebrated at once, Alexander bimfelf be¬ llowing fortunes upon them ; he directed likewife to take account of the number of his officers and foldiers who had married Afiatic wives; and though they ap¬ peared to be 10,coo, yet he gratified each of them ac¬ cording to his rank. He next refolved to pay the debts of his army, and thereupon iffued an edicft directing debts ot his every man to regifter his name and the firm he owed 5 army. with which the foldiers complying flowly, from an ap- prehcnfion that there was fome defign againft them, Alexander 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 ito Marries other two Wiyes. in Pays the 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 beftowed crowns of gold. Peuceftas had the firft j 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 fubjefts. He reviewed the 30,000 youths, whom at his departure for India he had ordered to be taught Greek and the Macedonian dif- cipline j expreffing high fatisfadion at the fine appear¬ ance they made, which rendered them worthy of the appellation he beftowed on them, viz. that of Epigotii, e. fucceffors. He promoted alfo, without any di- fhndion of nation, all thofe who had ferved him faith¬ fully and valiantly in the Indian war. When all theie regulations wrere made, he gave the command of his heavy armed troops to Hephaeftion, and ordered him to march diredly to the banks of the Tigris, while in the mean time a fleet was equipped for carrying the king and the troops he retained with him down to the ocean. Macedou. 1 hus ended the exploits of Alexander j the greateft conqueror that ever the world law, at leaft with re- fped to the rapidity of his conquefts. In 12 years' time he had brought under his fubjeftion Egypt, Libya, Alia Minor, Syria, Phoenicia, Paleftine, Ba¬ bylonia, Perfia, with part of India and Tartary. Still, however, he meditated greater things. He had now got a great tafte in maritime affairs j 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 ftraits of Gibraltar. But of this there is no great certainty ; though that he intended to fub- due the Carthaginians and Italians, is more than pro¬ bable. AH thefe defigns, however, were fruftrated by his death, which happened at Babylon in 323 B. C. He is faid to have received feveral warnings of his ap¬ proaching fate, and to have been advifed to avoid that city; which advice he either defpifed or could not follow. He died of a fever after eight days illnefs, a(. without naming any fucceffor ; having only given his Babylon^ ring to Perdiccas, and left the kingdom, as he faid, to the moj} worth/. The chara&er of this great prince has been varioufly H;s charac- 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 be properly be¬ ftowed. From a careful obfervation of his condutft, however, it muft appear, that he poffeffed not only a capacity to plan, but likewife to execute, the greateft 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 impracticable 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 his time the moft powerful people in the world in re- fpeft to their Ikill in the military art, and the Perfians were the moft powerful with refpeCt to wealth and numbers. I he 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 / Macedon M AC C 31 ginians carried on in Sicily, it appeared tnat they 'were by no means capable of contending with the Greeks even when they had an immenfe fuperiority ot numbers ; much lefs then could they have futtained 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 bar- barous, and could not have refifted armies well ciplined and under the command of fuch^ a fkiiiul leader as Alexander. Even long after this time, it ap¬ peared that the Romans themfelves could not have refilled the Greeks ; fince Regulus, after having de¬ feated the Carthaginians and reduced them to^tne ut- moft didrefs, was totally unable to refill a Carthagi¬ nian army commanded by a Greek general, and guided by Greek difcipline. Thus it appears, that the fcheme of Alexander can¬ not by any means be accounted that of a madman, or of one who projetts great things without judgement or means to execute them. If we confider fiom his. ac¬ tions the end which molt probably he had in view, could his fcheme have been accomplifhed, we lhall find it not only the greateft but the bejl that can poffibly be imagined. He did not concjuer to dellroy, enllave, or opprefs; but to civilize and unite the whole world as one nation. No fooner was a province concjucred than he took care of it as if it had been part_ of his paternal inheritance. He allowed not his loldiers to opprefs and plunder the Perlians, which they j'616 very much inclined to do } on the contrary, by.giving into the oriental cuiloms himfelf, he drove to extinguifh that inveterate hatred which had fo long fubfiiied be¬ tween the two nations. In the Scythian countries which he fubdued, he purfued the fame excellent plan. His courage and military {kill, m which he never was excelled, were difplayed, not with a view to rapine or defultory concjueil, but to civilize and inuuce the bar* barous inhabitants to employ themfelves in a moie pro¬ per way of life. “ Midll the hardlhips of a military life (fays Dr Gillies), obftinate fieges, bloody battles, and dear bought vi&ories, he dill refpeaed the rights of mankind/and praclifed the mild virtues of huma¬ nity. The conquered nations enjoyed their ancient laws and privileges ■, the rigours of defpotifm were foft- ened •, arts and indudry encouraged j and the proudeil Macedonian governors compelled, by the authority and example of Alexander, to obferve the rules of judice towards their meaneft fubjefts. do bridle the fierce inhabitants of the Scythian plains, he founded cities and edablxlhed cplonies on tne banks of the laxartes and Oxus ; and tbofe dedructive campaigns usually alcribed to his redlefs aclivity, and blind ambition, appeared to the difcernment of this extraordinary man not only eflential to the fecurity of the conqueds which he had already made, but neceflary for the more remote and fplendid expeditions which he dill pur- pofed to undertake, and which he performed with lingular boldnefs and unexampled fuccefs.” In an¬ other place, the fame author gives his character in the following words. “ He was of a low ftature, and fomewhat deform¬ ed ; but the aftivity and elevation of his mind, ani¬ mated and ennobled his frame. By a life of. continual labour, and by an early and habitual pra£lice of the gymnaftic exercifes, he had hardened his body againft g ] M A C the imprefiior.s of cold and heat, hunger and third, MaceJur« and prepared his robuft conftitution for bearing fuch exertions of ftrength and aflivity, as have appeared incredible to the undifciplined foftnefs of modern times. In generofity and in prowefs,_ he rivalled the greatell heroes of antiquity j and in the race of glory, having finally outftripped all competitors, became ambitious to furpafs himfelf. His fuperior fkill 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 conquefis to the bed inte- refts of mankind. In his extenfive dominions he built or founded not lefs than 70 cities; the fituation 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 fufpe£led, 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 flourifti. Yet let not the defigns of Alex¬ ander be too haftily accufed of extravagance. Who¬ ever ferioufly confiders what he actually performed be¬ fore his 33d year, will be cautious of determining what he might have accompiifhed had he reached the ordi¬ nary term of human life. His refources were peculiar to himfelf; and fuch views as well as a&ions 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 tranfmitted through the impure channels of exagge¬ rated flattery or malignant envy. The innumerable fidlions ivhich difgrace the works of his biographers, are contradidled by the moft authentic accounts of his reign, and inconfiftent with thofe public tranfadlions which concurring authorities confirm. In the prefent work it feemed unneceffary to expatiate on fuch topics, fince it is lefs the bufinefs of hiftory to repeat or even to expofe errors than to feleft and imprefs ufeful truths. An author, ambitious of attaining that purpofe, can feldom indulge the language of general panegyric. He will acknowledge, that Alexander’s adlions were not always blamelefs ; but, after the moft careful ex¬ amination, he will affirm, that his faults were few in number, and refulted from his fituation rather than from his charafler. “ From the firft years of his reign he experienced the crimes of difaffe£lion 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 againft the life of their mafter. The firft criminals were treated with a lenity becom¬ ing the generous fpirit of Alexander : but when Philotas, the fon of Parmenio, and even Parmenio himfelf, afforded reafon to fufpeeft their fidelity *, when the Macedonian youths, who, according to the infti- - tution MAC [ 320 ] edon. tution of Philip, guarded the roj'al pavilion, prepared to murder their fovereign, he found it neceTary 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 vanquished nations, his loftinefs difgufted the pride of his Euro¬ pean troops, particularly the Macedonian nobles, who had been accuftomed to regard tbemfelves rathA- as his companions than fubje&s. The pretenfions which found policy taught him to form and to maintain, of being treated with thofe external honours ever claim¬ ed by the monarchs of the Eaft, highly offended the religious prejudices of the Greeks, who deemed it im¬ pious to proftrate the body or bend the knee to any mortal fovereign. Yet had he remitted formalities confecrated by the pra&ice of ages, he muff infenfibly have loft the refpeft of his Afiatic fubje&s. With a view to reconcile the difcordant principles of the vic¬ tors and vanquifhed, he affedled 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 expedf, could not be very obftinately denied by the credulity of the Greeks and Macedo¬ nians j wrho univerfally acknowledged that Philip, his reputed father, rvas remotely defcended from the Gre¬ cian Jupiter. But the fuccefs of this defign, which might have entitled him, as fon of Jupiter, to the fame obeifance from the Greeks which the barbarians rea¬ dily paid him as monarch of the Eaft, wTas counter- adled, at firft by the fecret difpleafure, and afterwards by^the open indignation, of feveral of his generals and courtiers. Nor did the conduift of Alexander tend to extricate him from this difficulty. With his friends he maintained that equal intercourfe of vifits and en¬ tertainments which charadlerized the Macedonian man¬ ners j indulged the liberal flow of unguarded conver- fation j and often exceeded that intemperance in wine wduch difgraced his age and country.” We fliall conclude this chara£ler of Alexander with obferving, that he had in viewq and undoubtedly muft have accomplifhed, the fovereignty of the ocean as well as of the land. The violent refiftance made by the Tyrians had ftiown him the ftrength of a commercial nation ; and it was undoubtedly with a view to enrich his dominions by commerce, that he equipped the fleet on the Indus, and wdftied to keep up a communication with India by fea as well as by land. “ It was chiefly wdth a view to the former of thefe obje«5ls (fays Dr Ro- bertfon), 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 diredtions to remove the cataradls or dams with which the ancient monarchs of Perfia, induced by a peculiar precept of their reli¬ gion, which enjoined them to guard with the utmoft care againft defiling any of the elements, had conftrudt- ed near the mouths of thefe rivers, in order to (hut out their fubjedls from any accefs to the ocean. By open¬ ing the navigation in this manner, he propofed, that the valuable commodities of India (hould be conveyed from the Perfian gulf into the interior parts of his Afiatic do¬ minions, while by the Arabian gulf they ftiould be car¬ ried to Alexandria, and diftributed to the reft of the world. “ Grand and extenfive as thefe fchemes were, the 3 M A C precautions employed, and the arrangements made for Macedon. carrying them into execution, were fo various and lb proper, that Alexander had good reafon to entertain fanguine hopes of their proving fuccefsful. At the time when the mutinous, fpirit of his foldiers obliged him to relinquiffi his operations in India, he was not 30 years of age complete. At this dnterprifing period of life, a prince of a fpirit fo ab'tive, peifevering, and indefati¬ gable, muft have foon found means to refume a favour¬ ite meafure on which he had been long intent. If he had invaded India a fecond time, he would not, as for¬ merly, have been obliged to force his way through hof- tile and unexplored regions, oppofed at every ftep by uations and tribes of barbarians whofe names had never reached Greece. All Alia, from the ftiores of the Io¬ nian fea to the banks of the Hyphafis, would then have been fubjecl to his dominion ; and through that 'in- menfe ftretch of country he had eflabiiflied fuch a chain of cities .pr fortified ftations, that his armies might have continued their march with fafety, and have found a regular fucceffion of magazines provided for their fub- fiftence. Nor would it have been difficult for him to bring into the field forces fufficient to have achieved the conqueft of a country fo populous and extenfive as In¬ dia. Having armed and difciplined his fubjeds in the eaft like Europeans, they would have been ambitious to imitate and to equal their inftrudors; and Alexan¬ der might have drawn recruits, not from his fcanty do¬ mains in Macedonia and Greece, but from the vaft re¬ gions of Afia, which in every age has covered the earth, and aftoniffied mankind with its numerous ar¬ mies. When at the head of fuch a formidable power he had reached the confines of India, he might have entered it under circumftances very different from thofe in his firft expedition. He had fecured a firm footing there, partly by means of the garrifons which he left in. the three cities which he had built and fortified, and partly by his alliance with Taxiles and Porus. Thefe two Indian princes, won by Alexander’s humanity and beneficence, which, as they were virtues feldom dif- played in the ancient mode of carrying on war, excited of courfe a higher degree of admiration and gratitude, had continued fteady in their attachment to the Mace¬ donians. Reinforced by their troops, and guided by their information as well as by the experience which he had acquired in his former campaigns, Alexander muft have made rapid progrefs in a country where every in¬ vader from his time to the prefent age has proved fuc¬ cefsful. “ But this and all his other fplendid fchemes were terminated at once by his untimely death. In con- fequence of that, however, events took place which il- luftrate and confirm the juflnefs of the preceding fpecu- lations and conjectures, by evidence the moft ftriking and fatisfa&ory. When that great empire, which the fuperior genius of Alexander had kept united and in fubjeClion, no longer felt his fupcrintending controul, it broke into pieces, and its various provinces were feized by his principal officers, and parcelled out among them. From ambition, emulation, and perfonal animo- fity, they foon turned their arms againft one another j and as feveral of the leaders were equally eminent for political abilities and for military {kill, the conteft was maintained long, and carried on with frequent viciffi- tudes of fortune. Amidft the various convulfions and revolutions tion of his «wnpire, MAC [ 32t ] Macedon. fevolutions which thefe occafioned, it wTas found that the meafures of Alexander for the prefervation of his conquefts had been concerted with fuch fagacity, that upon the final reftoration of tranquillity, the Macedo¬ nian dominion continued to be eftablilhed in every part of Alia, and not one province had lhaken olf the yoke. Even India, the moft remote of Alexander’s conquefts, quietly fubmitted to Python the fon of Agenor, and af¬ terwards to Seleucus, who fucceflively obtained domi¬ nion over that part of Alia. Porus and Taxiles, not- withftanding the death of their benefadtor, neither de¬ clined fubmiflion to the authority of the Macedonians, nor made any attempt to recover independence.” With the death of Alexander fell alfo the glory of the Macedonians ; who very foon relapfed into a fitu- ation as bad, or worfe, than that in which they had Caufesof been before the reign of Philip. This was occafioned the diflolu- principally by his not having diftindlly named a fuc- ceffor, and having no child of his own come to the years of difcretion to whom the kingdom might feem naturally to belong. The ambition and jealoufy of his mother Olympias, his queen Roxana, and efpecially of the great commanders of his army, not only prevented a fucceffor from being ever named, but occafioned the death of every perfon, whether male or female, who kwas in the leaft related to Alexander. To have a juft notion of the origin of thefe difturbances, it is necef- fary in the firft place to underftand the fituation of the Macedonian affairs at the time of Alexander’s death. When Alexander fet out for Alia, he left Antipater, as we formerly obferved, in Macedon, to prevent any difturbances that might arife either there or in Greece. The Greeks, even during the lifetime of Alexander, bore the fuperiority which he exercifed over them with great impatience *, and, though nothing could be more gentle than the government of Antipater, yet he was exceedingly hated, becaufe he obliged them to be quiet. One of the laft aftionsof Alexander’s life fet all Greece in a flame. He had, by an edift, direfled all the cities of Greece to recal their exiles ; which edidt, when it was publilhed at the Olympic games, created much confufion. Many of the cities were afraid, that, when the exiles returned, they would change the govern¬ ment ; moft of them doubted their own fafety if the edifl took place j and all of them held this peremptory decree to be a total abolition of their liberty. No foon- er therefore did the new7s of Alexander’s death arrive than they prepared for war. In Alia the ftate of things was not much better ; not indeed through any inclination of the conquered coun¬ tries to revolt, but through the diffenfions among the commanders.—In the general council which was called foon after the death of Alexander, after much confufion and altercation, it wTas at laft agreed, or rather com¬ manded by the foldiers, that Aridaeus the brother of Alexander, who had always accompanied the king, and had been wont to facrifice with him, thould affume the fovereignty.——This Aridaeus was a man of very fiender parts and judgement, not naturally, but by the wicked praflices of Olympias, who had given him poifonous draughts in his infancy, left he ftiould ftand in the way of her fon Alexander or any of his family •, and for this, or fome other reafon, Perdiccas, Ptolemy, and moft of the horfe officers, refented his promotion to fuch a de¬ gree, that they quitted the affembly, and even the city. embalmed. Vol. XII. Part I. ,IIS Aridaeus appointed king. MAC However, Meleager, at the head of the phalanx, vigo- Macedan. roufly fupported their firft refolution, and threatened' v loudly to ftied the blood of thofe who affedled to rule over their equals, and to affume a kingdom which no¬ way belonged to them : Aridaeus was accordingly ar¬ rayed in royal robes, had the arms of Alexander put upon him, and was faluted by the name of P/ii/i/>, to n<5 render him more popular. Thus were two parties form-A party ed, at the head of whom were Meleager and Perdiccas; both of them pretending vaft concern for the public ggr anjj good, yet, at bottom, defiring nothing more than their another by owm advantage. Perdiccas was a man of high birth, Perdiccas. and had a fupreme command in the army, was much in favour with Alexander, and one in whom the nobility had put great confidence. Meleager had* become for¬ midable by having the phalanx on his fide, and having the nominal king entirely in his power ; for Aridaeus, or Philip, was obliged to comply writh whatever he thought proper ; and publicly declared, that whatever he did was by the advice of Meleager •, fo that he made his minifter accountable for his own fchemes, and no¬ way endangered himfelf. The Macedonians alfo, be- fides their regard for the deceafed king, foon began to entertain a perfona! love for Philip on account of his moderation. It is remarkable, however, that notwithftanding all the favours which Alexander had conferred upon his officers, and the fidelity with wffiich they had ferved him during his life, only two of them were attached to the interefts of his family after his death. Thefe were Antipater, and Eumenes the Cardian, whom he had appointed his fecretary. Antipater, as we have al. ready feen, was embroiled with the Greeks, and could not affift the royal family "tvho were in Alia ; and Eu¬ menes had not as yet fufficient intereft to form a party ny in their favour. In a ftiort time, however, Perdiccas Meleager prevailed againft Meleager, and got him murdered jniur,Iered, by which means the fupreme power for a time fell into aJrg ^ enN his hands. His firft ftep, in confequence of this power, vided!" was to diftribute the provinces of the empire among the commanders in the following manner, in order to pre¬ vent competitors, and to iatisfy the ambition of the principal commanders of the army. Aridaeus, and the fon of Roxana, born after the death of his father, were to enjoy the regal authority. Antipater had the go¬ vernment of the European provinces. Craterus had the title of prote&or. Perdiccas was general of the houfehold troops in the room of Hephaeftion. Ptolemy the fon of Lagus had Egypt, Libya, and that part of Arabia which borders upon Egypt. Cleomenes, a man of infamous chara&er, whom Alexander had made re¬ ceiver-general in Egypt, was made Ptolemy’s deputy.- Leomedon had Syria ; Philotas, Cilicia ; Python, Me¬ dia ; Eumenes, Cappadocia, Paphlagonia, and all the country bordering on the Euxine fea, as far as Trape- zus; but thefe were not yet conquered, fo that he was a governor without a province. Antigonus had Pam- phylia, Lycia, and Phrygia Major; Caffander, Ca- > ria ; Menander, Lydia ; Leonatus, Phrvgia on Hellefpont. In the mean time, not only Alexander’s will, Alexander himfelf, w7as fo much negleiled, that his der's body- body was allowed to remain feven days before any no-ne/t'eAed, tice was taken of it, or any orders given for its beinran^ whl the i 118 but A lexari- Tbe only will he left was a S f ftiort ^ 'fet afide, memo;- random MAC r ’ 3 , Mace Jon, rancfum of fix things he would have done i. The building of a fleet of 1000 ftout galleys, to be made ufe of again ft the Carthaginians and other nations who fhould oppofe the redudion of the fea-coafts of Africa and Spain, with all the adjacent iflands as.far as Sicily. 2. A large and regular highway was to be made along the coaft of Africa, as far as Ceuta and Tangier. 3. Six temples of extraordinary magnificence were to be erefted at the expence of 1500 talents each. 4. Caf- tles, arfenals, havens, and yards for building Ihips, to be fettled in proper places throughout his empire. * 5. Several new cities were to be built in Europe and Afia j thofe in Afia to be inhabited by colonies from Europe, and thofe in Europe to be filled with Afiatics ; that, by blending their people and their manners, that hereditary antipathy might be eradicated which had hitherto fub- fifted between the inhabitants of the different conti¬ nents. . 6. Laftly, He had proje£ted the building of a pyramid, equal in bulk and beauty to the biggeft in E- gypt, in honour of his father Philip. All thefe de- figns, under pretence of their being expenfive, were re¬ ferred to a council of Macedonians, to be held nobody knew when or where. The government, being now in the hands of Perdic- cas and Roxana, grew quickly very cruel and diftafte- fhl. Alexander was fcarce dead when the queen lent for Statira and Drypetis the two daughters of Darius, one of whom had been married to Alexander and the5 other to Hephaeftion : but as foon as they arrived at Babylon, caufed them both to be murdered, that no fon of Alexander by any other woman, or of Hephcef- tion, might give any trouble to her or her fon Alexan¬ der. Sifygambis, the mother of Darius, no fooner heard that Alexander the Great was dead, than (he laid violent hands on herfelf, being apprehenfive of the ca¬ lamities which were about to enfue. War was firft declared in Greece againft Antipater in the year 321 B. C. Through the treachery of the Theffalians, that general was defeated, with the army he had under his own command. Leonatus was there¬ fore fent from Afia, with a very confiderable army, to his afliftance •, but both were overthrown with great lofs by the confederates, and Leonatus himfelf was killed. In a fhort time, however, Craterus arrived in Greece with a great army, the command of which he refigned to Antipater. The army of the confederates amounted to 25,000 foot and 3000 horfe ; but Antipater com¬ manded no fewer than 40,000 foot, 3000 archers, and 5000 horfe. In fuch an unequal conteft, therefore, the Greeks were defeated, and forced to fue for peace ; which they did not obtain but on condition of their re¬ ceiving Macedonian garrifons into feveral of their cities. At Athens alfo the democratic government was abro¬ gated •, and fuch a dreadful punifhment did this feem to the Athenians, that 22,000 of them left their country, and retired into Macedon. While thefe things w^ere ,doing in Greece, difturb- ances began alfo to arife in Afia and in Thrace. The Greek mercenaries, who were difperfed through the inland provinces of Afia, defpairing of ever being al¬ lowed to return home by fair means, determined to attempt it by force. For this purpofe, they affembled to the number of 20,000 foot and 3000 horfe 5 but were all cut oft’ to a man by the Macedonians. In Thrace, Lyfimachus was attacked by one Seuthes, a rig The daugh¬ ters of Da¬ rius put to death by Roxana. The Greeks revolt, but are fub- dued. 1 at Difturban- ces in Afia and Thrace, 22 1 ■, MAC prince of that country who claimed the dominions of Macedon. Mp anceftors, and had raifed an army of 20,000 foot — * and 8coo horfe. But though the Macedonian com¬ mander was forced to engage this army with no more than 4000 foot and 2000 horfe, yet he kept the field of battle, and could not be driven out of the country. I erdiccas, m the mean time, by pretending friendfliip to the royal family, had gained over Eumenes entirely to his intereft; and at laft put him in poffeflion of the Ambition province of Cappadocia by the defeat of Ariarathes and crue!- King or that country, ivhom he afterwards cruelly tJof cauied to be crucified. His ambition, however, now (^ccas‘ began to lead him into difficulties. At the firft divifion or the provinces, Perdiccas, to ftrengthen his own au¬ thority, had propofed to marry Nicaea the daughter of Anti pater j and fo well was this propofal reliftied, that yer brethren Jolias and Archias conducted her to him, in order to be prefent at the celebration of the nuptials. But Perdiccas now had other things in view. He had been foheited by Olympias to marry her daughter Cleo¬ patra, the widow of Alexander king of Epirus, and w o then refided at Sardis in Lydia. Eumenes pro¬ moted this match to the utmoft of his power, becaufe he thought it would be for the intereft of the royal fa¬ mily ; and his perfuafions had fuch an effeft on Perdic¬ cas, that he was fent to Sardis to compliment Cieopa- tia, and to carry prefents to her in name of her new lover. In the abfence of Eumenes, however, Alcetas, the brother of Perdiccas, perfuaded him to marry Ni- ca:a.’ but> in order to gratify his ambition, he refolved to divorce her immediately after marriage, and marry Cleopatra. By this laft marriage, he hoped to have a pretence for altering the government of Macedon : and, as a neceflary meafure preparative to thefe, he entered into contrivances for deftroying Antigonus. Unfortu¬ nately for himfelf, however, he ruined all his fchemes by his own jealoufy and precipitate cruelty. Cynane, the daughter of Philip by his fecond wife, had brought her daughter named Adda, and who was afterwards named Eurydice, to court, in hopes that King Aridams might marry her. Againft Cynane, Perdiccas, from fome political motives, conceived fuch a grudge, that he caufed her to be murdered. This raifed a commotion- in the army ; which frightened Perdiccas to fuch a de¬ gree, that he now promoted the match between Ari- dams and Eurydice j to prevent which, he had murder¬ ed the mother of the young princefs. But, in the mean time, Antigonus, knowing the1 defigns of Perdiccas againft himfeif, fted with his ion Demetrius to Greece, there to take ftielter under the prote6Hon of Antipater and Craterus, whom he informed of the ambition and cruelty of the regent. A civil war was now kindled. Antipater, Craterus, a combi- Neoptolemus, and Antigonus, were combined againft nation Perdiccas j and it was the misfortune of the ' —- 111 general, that Eumenes, the moft able general, as well as the moft: virtuous of all the commanders, was on the fide of Perdiccas, becaufe he believed him to be in the intereft of Alexander’s family. Ptolemy, in the mean time, remained in quiet poffeffion of Egypt ; but rvithout the leaft intention of owning any perfbn for his fuperior : however, he alfo acceded to the league form¬ ed againft Perdiccas ; and thus the only perfbn in the wffiole empire who confulted the intereft of the royal fa¬ mily was Eumenes. empire inagainxthiiu< It Macedon. 124 Alexander burled in Egypt. 125 Perdiccas killed by his own men. MAC [ It was now thought proper to bury the body. Alexander, which had been kept for two years, during all which time preparations had been making for it. Aridgeus, to whofe care it was committed, fet out from Babylon for Damafcus, in order to carry the king’s bo¬ dy to Egypt. This was fore againft the will of Per¬ diccas ; for it feems there was a fuperftitious. report, that wherever the body of Alexander was laid, that country Ihould flourilh moft. Perdiccas, therefore, out of regard to his native foil, would have it conveyed to the royal fepulchres in Macedon j but Aridaeus, plead¬ ing the late king’s exprefs diredlion, was determined to carry it into Egypt, from thence to be conveyed to the temple of Jupiter Ammon.— I he funeral was accord¬ ingly conduced wdth all imaginable magnificence. Ptolemy came to meet the body as far as Syria : but, inltead of burying it in the temple ot Jupiter Ammon, erefted a ftately temple for it in the city of Alexan¬ dria 5 and, by the refpeft he Ihowed for his dead ma¬ iler, induced many of the Macedonian veterans to join him, and who were aftetwards of the greateft fervice to him. No fooner was the funeral over, than both the parties above mentioned fell to blows. Perdiccas marched again!! Ptolemy : but was {lain by his owm men, who, after the death of their general, fubmitted to his antagonift 5 and thus Eumenes was left alone to contend againft all the other generals who had ferved under Alexander. In this conteft, howTever, he wmuld by no means have been overmatched, had his foldiers been attached to him 5 but as they had been ac- cuflomed to ferve under thofe very generals againft whom they were now to fight, they were on all occa- fions ready to betray and defert Eumenes. However, he defeated and killed Neoptolemus and Craterus, but then found himfelf obliged to contend with Anti¬ pater and Antigonus. Antipater was now appointed i2o protedfor of the kings, with fovereign power •, and A new di- Eumenes was declared a public enemy. A new divifion vifion of the of Alexander’s empire took place. Egypt, Libya, empire. and the parts adjacent, were given to Ptolemy, becaufe they could not be taken from him. Syria was con¬ firmed to Leomedon. Philoxenus had Cilicia. Me- fopotamia and Arbelitus were given to Amphimachus. Babylon was beftowred on Seleucus. Sufiana fell to Antigenes, who commanded the Macedonian Argyraf- pidcv or Silver Shields, becaufe he was the firft who oppofed Perdiccas. Peuceftas held Perfia. Tlepole- mus had Caramania. Python had Media as far as the Cafpian ftraits. Stafander had Aria and Drangia; Philip, Parthia 5 Stafonor, Badlria and Sogdia ; Sy- birtius, Aracopa ; Oxyartes, the father of Roxana, Parapomifis. Another Python had the country be¬ tween this province and India. Porus and I axiles held what Alexander had given them, becaufe they would not part with any af their dominions. Cappa¬ docia w-as affigned to Nicanor. Phrygia Major, Ly- caonia, Pamphylia, and Lycia, were given to Antigo¬ nus ; Caria to Cafiander, Lydia to Clytus, Phrygia the Lefs to Aridseus. Caffander was appointed general of the horfe j while the command of the houfehold troops was given to Antigonus, with orders to profecute the war againft Eumenes. Antipater having thus fettled every thing as well as he could, returned to Macedon with the two kings, to the great joy of his countrymen, Macedon. 126 11'] 323 ] MAC of having left his fon Caflander to be a check upon Anti¬ gonus in Afia. Matters now feemed to wear a better afpeft than they had yet done j and, had Eumenes believed that his enemies really confulted the intereft of Alexander’s family, there is not the leaft doubt that the war would have been immediately terminated. He faw, however, that the defign of Antigonus was only to fet up for himfelf, and therefore he refufed to fubmit. From this time, therefore, the Macedonian empire, ceafed in Afia: and an account of the tranfa&ions of this part of the world fall to be recorded under the article Syria. The Macedonian affairs are now en¬ tirely confined to the kingdom of Macedon itfelf, and to Greece. Antipater had not long been returned to Macedon, Total de- when h<* died ; and the laft action of his life completed ftnichon ol the ruin of Alexander’s tamily. Out of a view to the 61 public good, he had appointed Polyfperchon, the eldeft of Alexander’s captains at hand, to be pretettor and governor of Macedon. This failed not to difguft his fon Caffander ; who thought he had a natural right to thefe offices, and of courfe kindled a new civil war in Macedon. This ivas indeed highly promoted by his firft actions as a governor. He began with attempt¬ ing to remove all the governors appointed in Greece by Antipater, and to reftore democracy wherever it had been abolilhed. The immediate confequence of this was, that the people refufed to obey their magi- ftrates j the governors refufed to refign their places, and applied for afliftance to Caffander. Polyfperchoit alfo had the imprudence to recal Olympias from Epi¬ rus, and allow her a ihare in the adminiftration •, which Antipater, and even Alexander himfelf, had always refufed her. The confequence of all this was, that Caffander invaded Greece, where he prevailed againft Polyfperchon : Olympias returned to Macedon, where flie cruelly murdered Aridams and!;his wife Eurydice ; lire herfelf was put to death by Caffander, who after¬ wards caufed Roxana and her fon to be murdered, and Polyfperchon being driven into Etolia, firft raifed to the crown Hercules the fon of Alexander by the daugh¬ ter of Darius,- and then by the inftigation of Caffandet murdered him, by w’hich means the line of Alexander the Great became totally extinft. I2s Caffander having thus deftroyed all the royal family, Various re- affumed the regal title, as he had for 16 years before y°h‘tl0ns had all the power. He enjoyed the title of king Macedon only three years 5 after which he died, about 298 B. C. By Theffalonica, the daughter of Philip king of Macedon, he left three fons, Philip, Antipa¬ ter, and Alexander. Philip fucceeded him, but foon after died of a confumption. A conteft immediately began between the two brothers, Antipater and Alex¬ ander. Antipater feized the kingdom ; and to fecure himfelf in it, murdered his mother Theffalonica, if not with his own hand, at leaft the execrable a£t was committed in his prefence. Alexander invited Pyrrhus king of Epirus, and Demetrius the fon of Antigonus, to aftift him and revenge the death of his mother. But Pyrrhus being bought off, and a peace concluded between the brothers, Alexander, being afraid of having too many proteflors, formed a fcheme of getting Demetrius affaffinated. Inftead of this, how¬ ever, both he and Antipater were put to death j and S f 2 Dsmetrias M A C Macedon. Dertiftrius became king of Macedon four v the death of Caffandev. v In 287 B. C. Demetrius was driven out by Pyrrhus, who was again driven out by Lyfimachus two years after, who was foon after killed by Seleucus Nicanor ; and Seleucus, in his turn, was murdered by Ptolemy Ceraunus, who became king of Macedon about 280 B. C. The new king was in a fhort time cut off, with his whole aimy, by the Gauls; and Antigonus Gonatus, the fon of Demetrius Poliorcetes, became king of Ma¬ cedon in 278 B. C. He proved fuccefsful againlt the Gauls, but was driven out by Pyrrhus king of Epirus ; who, however, foon difobliged his fubjecls to fuch a degree, that Antigonus recovered a great part of his kingdom. But in a little time, Pyrrhus being killed at the liege of Argos in Greece, Antigonus was reftor- ed to the whole of Macedon ; but fcarcely was he feated on the throne, when he was driven from it by Alexander the fon of Pyrrhus. This newT invader was, in his turn, expelled by Demetrius the fon of Antigo- nus; who, though at that time but a boy, had almoft made himfelf mailer of Epirus. In this enterprife, however, he wTas di (appointed ; but by his means An¬ tigonus was rellored to his kingdom, which he.govern¬ ed for many years m peace. By a Hratagem he made himfelf mailer of the city of Corinth, and from that time began to form fchemes for the thorough conquell of Greece. The method he took to accomplilh this was, to fupport the petty tyrants of Greece againlf the free hates : which indeed weakened the power of the latter ; but involved the whole country in fo many calamities, that thefe tranfadlions could not redound much to the reputation either of his arms or his ho¬ nour. About 243 B. C. be died, leaving the king¬ dom to his fon, Demetrius II. Neither Demetrius, nor his fucceffor Antigonus Do- fon, performed any thing remarkable. In 22 1 B. C. the kingdom fell to Philip, the lall but one of the Ma¬ cedonian monarchs. To him Hannibal applied for aliilfance after the battle of Cannae, which he refufed ; and the fame imprudence which made him refufe this affiftance prompted him to embroil himfelf with the Romans ; and at laft to conclude a treaty with them, by which he in effefl became their fubjefl, being tied up from making peace or war but according to their plea- fure. In 179 B. C. he was liicceeded by his eldell fon Perfeus, under whom the war with the Romans was re¬ newed. Even yet the Macedonians were terrible in war; and their phalanx, when properly conduced, feems to have been abfolutely invincible by any method of making war known at that time. It confided of 26,000 men, of whom 1000 marched abrealf, and thus was 16 men deep, each of whom carried a kind of pike 23 feet long. The foldiers flood fo clofe, that the pikes of the fifth rank reached their points beyond the front of the battle. The hindermofl ranks leaned their pikes on the fhoulders of thofe who went before them, and, locking them fall, preffed brilkly againlt them when they made the charge ; fo that the firlt five ranks had the impetus of the whole phalanx, which was the reafon why the fhock was generally irrefiltible. The Romans had never encountered fuch a terrible enemy ; and in the firll battle, which happened 171 B. C. they were defeated with the lofs of 2200 men, while the Macedonians loft no more than 60. The ge- Macer. IZ9 War with the Ro- 1 324 ] MAC years after nerals of Pei bus now preffed him to ftorra the enemy’s Macedo: camp : but he being naturally of a cowardly difpofi- tion, refufed to comply, and thus the bell opportunity he ever had was loll. Still, however, the Romans gain¬ ed little or no advantage, till the year 168 B. C. when Paulus iEmilius, a moll experienced commander, was fent to Macedon. Perfeus norv put all upon the iffue of a general engagement ; and ^Emilius, with all his cou¬ rage and military experience, would have been defeat¬ ed, had the Macedonians been commanded by a gene¬ ral of the fmallelf courage or condufl. The light¬ armed Macedonians charged with fuch vigour, that after the battle, fome of their bodies were found with¬ in two furlongs of the Roman camp. When the pha¬ lanx came to charge, the points of their fpears linking into the Roman fhields, kept the heavy-armed troops from making any motion ; while, on the other hand, Perfeus’s light-armed men did terrible execution. On this occafion, it is faid, that iEmilius tore his clothes, and gave up all hopes However, perceiving that as the phalanx gained ground it loft its order in feveral places, he caufed his own light-armed troops to charge in thofe places, whereby the Macedonians were foon put into confufion. If Perfeus with his horfe had on the firlt appearance of this charged the Romans brilk¬ ly, his infantry would have been able to recover them- felves ; but inftead of this, he betook himfelf to flight, and the infantry at lad did the fame, but not till 20,000 of them had loll their lives. This battle decided the fate of Macedon, which immediately fubmitted to the conqueror. The coward¬ ly king took refuge in the illand of Samothrace : but was at lad obliged to furrender to the Roman conful, by whom he was carried to Rome, led in triumph, and afterwards moll barbaroully ufed. Some pretenders to the throne appeared afterwards ; but being unable I30 to defend themfelves againll the Romans, the country Macedonia was reduced to a Roman province in 148 B. C. To becomes a them it continued fubje£l till the year X357, when it R-0111*11 was reduced by the Turkifh fultan Bajazet, and has^r°V^nCe4 remained in the hands of the Turks ever fince. MACEDONIANS, in ecclefiallisal hillory, the followers of Macedonius, biihop of Conllantinople, who through the influence of the Eunomians, was depofed by the council of Conllantinople in 360, and fent into exile. He confidered the Holy Gholf as a divine energy diffufed throughout the univerfe, and not as a perfon diftindl from the Father and the Son. The fe£l of Macedonians was crufhed before it had ar¬ rived at its full maturity, by the council affembled by Tbeodofius in 381, at Conllantinople. See Semi- ARIANS. MACEDONIUS. See Macedonians. MACER, Emilius, an ancient Latin poet, was born at Verona, and flourilhed under Augullus Caefar. Eufebius relates, that he died a few years after Virgil. Ovid fpeaks of a poem of his, on the nature and quality of birds, ferpents, and herbs ; which he fays Macer be¬ ing then very old had often read to him : Scefie fuas valueres legit tnihi grandior cevo, ^ueeque nocet ferpens, qua; juvat herba, Macer. De Panto, lib. iv. eleg. 10. There is extant a poem upon the nature and power of herbs under Macer’s name ; but it is fpurious. He alfo wrote MAC [32 Maceration wrote a fupplement to Homer, as Quintus Calaber did J! , afterwards in Greek : ^'Tscriis.vd* Tu canis ceterno quicquid rejlahat Homero : Ne careant fumma Troica bella manu. / Tie Ponto, lib. ii. eleg. 10. MACERATION, is an infulion of, or foaking in¬ gredients in water or any other fluid, in order either to foften them or draw out their virtues. M ACER AT A, a handfome and populous town of Italy, in the territory of the church, and in the Marche of Ancona, with a bifliop’s fee, and an uni- verflty. It is feated near the mountain Chiento, in E. Long. 13. 37. N. Lat. 43. 15. MACH AON, a celebrated phyfician among the ancients, fon of iEfculapius and brother to Podalirius. He went to the Trojan war with the inhabitants of Trica, Ithome, and CEchalia. According to fome, he was king of Meffenia. He was phyfician to the Greeks, and healed the wounds which they received during the Trojan war. Some fuppofe he was killed before Troy by Eurypylus the fon of Telephus. He received divine honours after death, and had a temple in Meffenia. M ACHAlRUS, in Ancient Geography, a citadel on the other fide Jordan, near the mountains of Moab, not far from and to the north of the Lccus Afphaltites. It was the fouth boundary of the Peraea : fituated on a mountain encompaffed round with deep and broad valleys 5 built by Alexander king of the Jew’s; de- firoyed by Gabinius, in the war with Ariftobulus, and rebuilt by Herod, with a cognominal town round it. Here John the Baptift wras beheaded (Jofephus). MACHIAN, one of the Molucca iflands, in the Eaft Indian ocean, about 20 miles in circumference, and the molt fertile of them all. It likewife produces the belt cloves j and is in poffeflion of the Dutch, who have three ftrong forts built on it. MACHIAVEL, Nicholas, a famous political writer of the 16th century, was born of a diflinguilh- ed family at Florence. He wnote in his native lan¬ guage w’ith great elegance and politenefs, though he underftood very little of the Latin tongue •, but he w’as in the fervice of Marcellus Virgilius, a learned man, who pointed out to him many of the beautiful paffages in the ancients, which Machiavel had the art of pla¬ cing properly in his works. He compofed a comedy upon the ancient Greek model : in which he turned into ridicule many of the Florentine ladies, and which w’as fo w’ell received, that Pope Leo X. caufed it to be 'adfed at Rome. Machiavel w^as fecretary, and after¬ wards hiftoriographer, to the republic of Florence. The houfe of Medicis procured him this laft office, together with a handiome falary, in order to pacify his refentment for having fuffered the torture upon fufpicion of being an accomplice in the conspiracy of the Soderini againft that houfe, when Machiavel bore his bufferings without making any confefiion. 'I he great encomiums he beftowed upon Brutus and Caf- fius, both in his converfations and writings, made him ftrongly fufpeefed of being concerned in another con- fpiracy againft Cardinal Julian de Medicis, who was afterwards pope under the name of Clement VII. How¬ ever, they carried on no proceedings againft him j but from that time he turned every thing into ridicule, and 5 ] MAC gave himfelf up to irreligion. He. died in I5_3°> 3 remedy which he had taken by w7ay of prevention. Of|’ ac ^ all his waitings, that which has made the moft noife, and has drawm upon him the moft enemies, is a politi¬ cal treatife entitled the Prince; which has been trani- lated into feveral languages, and wrote againft by many authors. The world is not agreed as to the motives of this work fome thinking he meant to recommend tyrannical maxims; others, that he only delineated them to excite abhorrence. Machiavel alfo wrote, Re¬ flexions on Titus Livius, which are extremely curious j The Hiftory of Florence, from the year 1205 to 1494} and a quarto volume of Poems and other pieces. Mr Harrington confiders him as a fuperior genius, and as the moft excellent writer on politics and government that ever appeared. MACHINE, (Machina), in the general, fignifieS any thing that ferves to augment or to regulate mov¬ ing pow’ers: Or it is any body deftined to produce motion, fo as to fave either time or force. The wmrd comes from the Greek A4«%«v>), “ machine, invention, art And hence, in ftriXnefs, a machine is fomething that confifts more in art and invention, than in the ftrength and lolidity of the materials j for which rea- fon it is that inventors of machines are called mgenieurs or engineers. Machines are either Ample or compound. The Am¬ ple ones are the feven mechanical powers, viz. lever, balance, pulley, axis and wheel, wedge, icrew, and in¬ clined plane. See MECHANICS. From thefe the compound ones are formed by various combinations, and ferve for different purpoies. See Mechanics •, alfo Agriculture, Cannon, Centri¬ fugal, Steam, Furnace, Burroughs, Ramsden, &c. &c. Machines ufed in w’ar amongft the Greeks were principally thefe 1. or fealing ladders j 2. The battering ram j 3. The helcpohs ; 4. I he or tortoife, called by the Romans tejludo \ 5. The o-gupx or agqer, which was faced wuth ftone, and railed higher than the w’all: 6. Upon the rxupet. were built wvgye< or towers of wood ; 7. FsggaM, or oiler hurdles •, 8. Lata- pnitre, or xaWsAV, from which they threw arrows with amazing force j and, 9. The AiJhoooAa;, Tre-rps^oAai, or xtph^ix, from which ftones were call with gieat ve¬ locity. The principal warlike machines made ufe of by the Romans were, the ram, the lupus or wolf, the tejhido or tortoife, the balijla, the catapulia, and the Jcorpion. MACHINERY, in epic and dramatic poetry, is when the poet introduces the ufe of machines ; or brings fome fupernatural being upon the ilage, in order to folve fome difficulty or to perform fome explojt out of the reach of human power. The ancient dramatic poets never made ufe of ma¬ chines, unlefs wdrere there w7as an j.bfolute neceffity tor , fo doing j whence the precept of Horace, T!ec Deus interjit, nifi dignus vindice nodus Incident. It is quite otherwife writh epic poets, who introduce machines in every part of their poems j lo that nothing is done without the intervention of the gods. In Mil¬ ton’s Paradife Loft, by far the greater part of the ac¬ tors MAC [ 326 ] MAC Machul tors are fupernatural perfonages : Homer and Virgil do M II . nothing without them and, in Voltaire’s Henriade, the L.._ac_^enzKf' poet has made excellent ufe of St Louis. As to the manner in which thefe machines fhould add, it is fometimes invifibly, by Ample infpirations and fuggeftions; fometimes by addually appearing under fome human form *, and, laftly, by means of dreams and oracles, which partake of the other two. How¬ ever, all thefe fhould be managed in fiich a manner as pj ^ to keep within the bounds of probability. CCXCVIII MACHUL, an inftrument of mulic among the 'Hebrews. Kircher apprehends that the name was given to two kinds of inilruments, one of the ftringed and the other of the pulfatile kind. That of the former fort had fix chords j 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 furnifhed with iron rings fufpended on a rod or bar that palled acrofs the circle. Kircher fuppofes that it wTas moved to and fro by a handle fixed to it, and thus emitted a melancholy kind of murmur. MACHYNLETH, a town of Montgomeryfhire in North Wales, 198 miles from London, and 32 from Montgomery. It is an ancient town j and has a market on Mondays, and fairs on May 16, June 26, July 9, September 18, and November 25, for fheep, horned cattle, and horfes. It is feated on the river Douay, over which there is a large ftone bridge, which leads into Merionethfhire. It was here that Owen Glyndwr exercifed the firft a6ts of his royalty in 1402. Here he accepted the crown of Wales, and affembled a parliament ; and the houfe wherein they met is now handing, 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 Itudied at the univerfities 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 charadter of an emi¬ nent pleader. He did not, however, fuffer his abili¬ ties to be confined entirely to that province. He had a good tafle for polite literature $ and he gave the pub¬ lic, from time to time, inconteftable proofs of an un¬ common proficiency therein. He had pradlifed but a few' years, when he was promoted to the office of a judge in the criminal court 5 and, in 1674, was made king’s advocate, and one of the lords of the privy coun¬ cil in Scotland. He w'as alfo knighted by his majefty. In thefe ftations he met w’ith a great deal of trouble, on account of the rebellions which happened in his time ; and his office of advocate requiring him to adt with feverity, he did not efcape being cenfured, as if in the deaths of fome particular perfons who were exe¬ cuted he had firetched the law's too far. But there does not feem to have been any jufi foundation for this clamour againfi: him ; and it is generally agreed, that he acquitted himfelf like an able and upright magi- firate. Upon the abrogation of the penal law’s by King James II. our advocate, though he had always been remarkable for his loyalty, and even cenfured for 1 his zeal againfi; traitors and fanatics, thought himfelf Mackerel, obliged to refign his polt •, being convinced, that he Maclaurin. could not difcharge the duties of it in that point with a v ^ f good confcience. But he was foon after reftored, and held his offices till the Revolution j an event which, it feems, he could not bring himfelf to approve. He had hoped that the prince of Orange would have re¬ turned to his own country when matters were adjufted between the king and his fubje£ts j and upon its prov¬ ing otherwife, he quitted all his employments in Scot¬ land, and retired into England, refolving to fpend the remainder of his days in the univerfity of Oxford. He arrived there in September 1689, and profecuted his ftudies in the Bodleian library, being admitted a flu- dent there by a grace paffed in the congregation, June 2. 1690. In the fpring following, he went to Lon¬ don j where he fell into a diforder, of which he died in May 1691. His corpfe was conveyed by land to Scotland, and interred there wfith great pomp and fo- lemnity. “ The politenefs of his learning, and the fprightlinefs of his wit, were (fays the reverend Mr Granger) confpicuous in all his pleadings, and {hone in his ordinary converfation.” Mr Dryden acknow¬ ledges, that, he was unacquainted with what he calls the beautiful turn of 'ipords and thoughts in poetry^ till they were explained and exemplified to him in a converfa¬ tion with that noble wit of Scotland Sir George Mac¬ kenzie.-—He wrote feveral pieces of hiftory and anti¬ quities ; Inftitutions of the laws of Scotland ; Elfays upon various fubjedls, &c. His works were printed together at Edinburgh in 1716, in 2 vols. folio. MACKEREL. See Scomber, Ichthyology//mfcr. MACLAURIN, Colin, a mofi: eminent mathema¬ tician and philofopher, was the fon of a clergyman, and born at Kilmoddan in Scotland in 1698. He was fent to the univerfity of Glafgow in 1709 •, where he con¬ tinued five years, and applied himfelf to ftudy in a moft intenfe manner. His great genius for mathema¬ tical learning difcovered itfelf fo early as at twelve years of age; when, having accidentally met with an Euclid in a friend’s chamber, he became in a few days matter of the firft fix books without any affiftance : and it is certain, that in his 16th year he had invent¬ ed many of the propofitions which were afterwards publifhed under the title of Geometria Organica. In his 15th year he took the degree of mafter of arts; on which occafion he compofed and publicly defended a thefis On the power of Gravity, with great applaufe. After this he quitted the univerfity, and retired to a country-feat of his uncle, who had the care of his education ; for his parents had been dead fome time. Here he {pent two or three years in purfuing his fa¬ vourite ftudies 5 but, in 1717, he offered himfelf a candidate for the profefforffiip of mathematics in the Marifchal college of Aberdeen, and obtained it after a ten days trial with a very able competitor. In 1719, he went to London, where he became acquainted witji Dr Hoadly then biffiop oi Bangor, Dr Clarke, Sir Ifaac Newton, and other eminent men 5 at which time alfo he was admitted a member of the Royal Society j and in another journey in 1721, he contradled an in- timacyfwith Martin Folkes, Elq. the prefident of it, which lafted to his death. In 1722, Lord Polwarth, plenipotentiary of the king of Great Britain at the congrcfs of Cambray, engaged him MAC Maclaurin. Kim to go as a tutor and companion to Kis eldeft fen, who i ».-v was t])en to fet out on hJg travels. After a fiiort flay at Pan's, and vifiting other towns in France, they fixed in Lorrain; where Maclaurin w’rote his piece On the Percuffion of Bodies, which gained the prize of the Royal Academy of Sciences for the year 1724. But his pupil dying foon after at Montpelier, he returned immediately to his profeihon at Aberdeen. He was hardly fettled here, when he received an invitation to Edinburgh •, the curators of that univerfity being de- firous that he ihould fupply the place of Mr James Gregory, whofe great age and infirmities had render¬ ed him incapable of teaching. He had fome difficul¬ ties to encounter, arifing from competitors, who had good intereft with the patrons of the univerfity, and alfo from the want of an additional fund for the new profeffor ; which however at length were all furmount- ed, principally by the means of Sir Ifaac Newton. In November 1725, he was introduced into the univerfity. After this, the mathematical claffes foon became very numerous, there being generally upwards of 100 young gentlemen attending his leflures every year •, who being of different {landings and proficiency, he was obliged to divide them into four or five claffes, in each of wffiich he employed a full hour every day, from the firft of November to the firft of June. Pie lived a bachelor to the year 1733 : but being not lefs formed for fociety than for contemplation, he then married Anne, the daughter of Mr Walter Stew¬ art folicitor-general to his late majefty for Scotland. By this lady he had feven children, of whom two fons and three daughters, together with his wife, furvived him. In 1734, Berkeley, biftiop of Cloyne, publilh- ed a piece called “ The Analyft in which he took occafion, from fome difputes that had arifen concern¬ ing the grounds of the fluxionary method, to explode the method itfelf, and alfo to charge mathematicians in . general wdth infidelity in religion. Maclaurin thought himfelf included in this charge, and began an anfwer to Berkeley’s book : but, as he proceeded, fo many difeoveries, fo many new theories arid problems occurred to him, that inflead of a vindicatory pamph¬ let, his work came out, A complete fyftem of fluxions, with their application to the moft confiderable pro¬ blems in geometry and natural philofophy. This wrork was publifhed at Edinburgh in 1742, 2 vols. 410 •, and as it coft him infinite pains, fo it is the moft confiderable of all his works, and will do him immortal honour. In the mean time, he was continually obliging the public with fome performance or obfervation of his own •, many of which were publiffied in the fifth and fixth volumes of the “ Medical EtTays” at Edin¬ burgh. Some of them wrere likewdfe publilhed in the Philofophical Tran factions ; as the following : 1. Of the conftruftion and meafure of curves, N° 356. 2., A new method of deferibing all kinds of curves, N0 359- 3* ^ ^tter to Martin Folkes, Efq. on equa¬ tions with impoffible roots, May 1726, N° 394. 4. Continuation of the fame, March 1729, N° 408. 5. December the 21ft, 1732, on the defeription of curves 5 wdth an account of farther improvements, and a paper dated at Nancy, November 27, 1722, N° 439. 6. An account of the treatife of fluxions, January 27, 1742, N* 467. 7. The fame continued, March 10. 3742, N° 469, 8. A rule for finding the meridional MAC parts of a fpheroid with the fame exaflnefs as of a Maclaunn. Iphere, Augurt 1741, N° 461. 9. Of the bafis of ”v"’' '' the cells wherein the bees depofite their honey j Nov. 3- f734, N° 47r. In the midft of thefe ftudies, he was always ready to lend his affiftance in contriving and promoting any fcheme which might contribute to the fervice of his country. When the earl of Morton fet cut in 1739 for Orkney and Shetland, to vifit his eftates there, he defired Mr Maclaurih to affift him in fettling the geography of thofe countries, which is very errone¬ ous in all our maps 5 to examine their natural hiflory, to furvey the coafts, and to take the meafure of a de¬ gree of the meridian. Maclaurin’s family affairs, and other connexions, would not permit him to do this ; he drew, however, a memorial of what he thought neceffary to be obferved, furnifhed the proper inftru- ments, and recommended Mr Short,. the famous op¬ tician, as a fit operator for the management of them. He had ftill another fcheme for the improvement of geography and navigation, of a more extenfive nature; wffiich wjas the opening a paffage from Greenland to the South fea by the north pole. That fuch a paf¬ fage might be found, he was fo fully perfuaded, that he has been heard to fay, if his fituation could admit of fuch adventures, he wmuld undertake the voyage, . even at his own charge. But when fchemes for finding it w^ere laid before the parliament in 1744, and him¬ felf confulted by feveral per fons of high rank concern¬ ing them, before he could finilffi the memorials he pro- pofed to fend, the premium was limited to the difeo- very of a north-weft paffage : and he ufed to regret, that the word weft w^as inferted, becaufe he thought that paffage, if at all to be found, muft lie not far from the pole. In 1745, having beer) very a6tive in fortifying the city of Edinburgh againft the rebel army, he was obli¬ ged to fly from thence to the north of England ; where he was invited by Herring, then archbiftiop of York, to refide wuth him during his flay in this coun¬ try. In this expedition, however, being expofed to cold and hardftrips, and naturally of a weak and ten¬ der conftitution, he laid the foundation of an illnefs which put an end to his life, in June 1746, at the age of 48. Mr Maclaurin was a very good as wTell as a very great man, and wTorthy of love as well as admiration. His peculiar merit as a philofopher was, that all his ftudies wrere accommodated to general utility ; and we find, in many places of his wmrks, an application even of the moft abftrufe theories, to the perfedting of me¬ chanical arts. He had refolved, for the fame purpofe, to compofe a courfe of practical mathematics, and to refeue feveral ufeful branches of the fcience from the bad treatment they often met with in lefs Ikilful hands. But all this his death prevented ; unlefs we fhould reckon, as a part of his intended work, the tranfiation of Dr David Gregory’s “ Practical Geometry,” which he revifed, and publilhed with additions, 1745. In his lifetime, hov’ever, he had frequent opportuni¬ ties of ferving his friends and his country by his great fkill. Whatever difficulty occurred concerning the conftuufting or perfecting of machines, the working of mines, the improving of manufactures, the conveying of water, or the execution of any other public work, [ 327 ] v MAC ■ C Mf.c'smrir.. was at naisd to refolve it. lie was iikewife em- —"V J ployed to terminate fome difputes of confequence that had arifen at Glafgow concerning the gauging of vef- fels; and for that purpofe prefented to the commilTion- ers of excife two elaborate memorials, with their de- monftrations, containing rules for which the officers now aft. He made alfo calculations relating to the provilion, now eftabliffied by law, for the children and w-idows of the Scots clergy, and of the profeflors in the univcrfities, entitling them to certain annuities and fums, upon the voluntary annual payment of a certain fum by the incumbent. In contriving and adjufting this wife and ufeful fcheme, he beftowed a great deal of labour, and contributed not a little towards bring¬ ing it to perfeftion. It may be faid of fuch a man, that “ he lived to fome purpofe $” which can hardly be faid of thofe, how uncommon foever their abilities pnd attainments, who ipend their whole time in ahftraft /peculations, and produce nothing to the real ufe and fer- vice of their fellow7 creatures. Of his works, we have mentioned his Geometria Or- ganica, in which he treats of the defcription of curve lines by continued motion. We need not repeat what has been faid concerning his piece which gained the prize of the Royal Academy of Sciences in 17 24. In 1740, the academy adjudged him a prize, which did him Hill more honour, for folving the motion of the tides from the theory of gravity j a queftion wffiich had been given out the former year, without receiving any folution. He had only ten days to draw this pa¬ per up in, and could not find leilure to tranfcribe a fair copy ; fo that the Paris edition of it is incorreft. He afterwards revifed the whole, and inferted it in his Treatife of Fluxions \ as he did alfp the fuhftance of the former piece. Thefe, wuth the Freatife of Fluxions, and the pieces printed in the Philofophical Tranfaftions, of which we have given a lilt, are all the writings which our author lived to publith. Since ' his death, two volumes more have appeared ; his Al¬ gebra, r* J his Account of Sir Ifasic Newton’s Philo¬ fophical Difcoveries. His Algebra, though not finilh- ed by himfelf, is yet allowed to be excellent in its kind •, containing, in no large volume, a complete ele¬ mentary treatife of that fcience, as far as it has hither¬ to been carried. His Account of Sir Itaac Newton’s Philofophy was occafioned in the following manner : Sir Ifaac dying in the beginning of 1728, his nephew, Mr Conduitt, propofed to publifh an account of his life, and defired Mr Maclaurin’s affiflance. The lat¬ ter, out of gratitude to his great benefaftor, cheer¬ fully undertook, and foon finiffied, the hiltory of the progrefs which philofophy had made before Sir Ifaac’s time, and this was the firft draught of the work in hand \ which not gomg forward, on account of Mr Conduitt’s death, was returned to Mr Maclaurin.— To this he afterwards made great additions, and left it in the ftate in which it now appears. His main defign feems to have been, to explain only thofe parts ef Sir Ifaac’s philofophy which have been, and dill are, controverted : and this is fuppofed to be the rea- fon why his grand difeoveries concerning light and colours are but tranfiently and generally touched upon. For it is known, that ever fmee the experiments, on which his doftrine of light and colours is founded, 328 ] MAC n- have been repeated with due care, this doftrine has Macquer. not been contefted ; whereas his accounting for the —y-—" celeftial motions, and the other great appearances of nature, from gravity, is mifunderftood, and even ridi¬ culed by fome to this day. MACQUER, Philippe, advocate of the parlia¬ ment of Paris, where he was born in 17 20, being defeended from a refpeftable family. A weaknefs in his lungs having prevented him from engaging in the laborious exercifes of pleading, he dedicated him¬ felf to literary purfuits. His works are, 1. VAbrege Chronologique de PHijloire KccleJiaJIique, 3 vols, 8vo. written in the manner of the prdident Henault’s Hi- dory of France, but not poffeffed of equal fpirit and elegance. 2. Les Annales Romaines, 17565 8vo ; ano¬ ther chronological abridgement, and much better fup- ported than the former. Into this work the author has introduced every thing mod worthy of notice which has been written by Saint Evremond, Abbe Saint- Real, Prefident Montefquieu, Abbe Mably, &c. con¬ cerning the Romans \ and, if we except a difference of dyle, which is eafily difcernible it is, in other refpefts, a very judicious compilation. 3. Abrege Chronologique de VHiJloire d'Efpagne et de Portugal, 1759, 1765, in 2 vols, 8vo. This book, in point of accuracy, is worthy of the prefident Henault, by whom it was be¬ gun j but it difplays no diferimination of charafter nor depth of refearch. The author received affidance from M. Lacombe, whofe talents for chronological abridge¬ ment are well known. The republic of letters fudain- ed a lofs by the death of M. Macquer, which happen¬ ed on the 27th of January 1770, at the age of 50. As to his charafter, he was indudrious, agreeable, moded, and fincere, and an enemy to all fooliih vanity and af- feftation. He had a cold imagination, but a correft tade. He had an eager third for knowledge of every kind, and he had neglefted no ufeful branch of dudy. He had a diare in the Diftionary of Arts and Profef- dons, in 2 vols 8vo, and in the Tranflation of the Sy¬ philis of Fracador published by Lacombe. Macquer, Pierre Jofeph, brother to the former, was born at Paris the 91b of Oftober 1718, and died there February 16. 1784. He was a member of the Academy of Sciences, and late profeffor of pharmacy j and was engaged in the Journaldes Spavans, for the ar¬ ticles of medicine and chemidry. With the latter fcience he was intimately acquainted. He had a (hare in the Pharmacopoeia Parijienjis, publilhed in 1758, in 410. His other works are, 1. Piemens de Chmne theorique ; Paris, 1749, 1753, 1 2rao ; which have been trandated into Englith and German.—2. Elemens dc Cliimiepratique, 1751. 2 vols 12mo. Thefe two works were republiffied together, in 1756, in 3 vols. i2mo. 3. Plan (Pun cours de Chimie experimentale et raifonee, 1757, i2mo-, in the compofition of which he was aflbeiated with M. Beaume. 4. Formula Medicamento- rum Magifiralium, 1763. 5. IP Art de la Teinture en Sole, 1763. 6. Diciionnaire de Chimie, contenant la Theorie et la Pratique de cet art, 1766, 2 vols. 8vo ; which has been trandated into German, with notes j and into Englidi, with notes, by Mr Keir. Macquer has, by his labours and writings, greatly contributed to render ufeful an art which formerly tended only to rum the health of the patient by foreign remedies, or to reduce 3 MAC [ 32Q ] MAC Maerm reduce tlie profeflbrs of it to beggary, while they 1J profecuted the idle dreams of converting every thing jMaeroce- into gold. „ Ph?--us- , MACRIN, Salmon, one of the beft Latin poets of the 16th century, was born at Loudun. His true name was John Salmon ; but he took that of Macnn, from his being frequently fo called in ridicule by Fran¬ cis I. on account of his extraordinary leannefs. He was preceptor to Claudius of Savoy, count of Tende j ' and to Honoi ius the count’s brother j and wrote fe- veral pieces of poetry in lyric verfe, which wrere fo ad¬ mired, that he was called the Horace of his time. He died of old age, at Loudun, in 1555.—Charles Macrin, his fon, was not inferior to him as a poet, and furpaffed him in his knowledge of the Greek tongue. He was preceptor to Catharine of Navarre, the lifter of Henry the Great; and perifhed in the maffacre on St Bartho- lomew’s day in 1572. MACROBII, a people of Ethiopia, celebrated for their juftice, and the innocence of their man¬ ners : alfo a people in the ifland Meroe. The Hyper¬ boreans were alfo called Macrobii: They generally lived to their 120th year j and from their longevity they obtained their name /3ia;, long life.') MACROBIUS, Ambrosius Aurelius Theodo¬ sius, an ancient Latin writer, who flourilhed towards the latter part of the fourth century.— Of what coun¬ try he was, is not clear: Erafmus, in his Ciceronianus, feems to think he was a Greek ; and he himfelf tells us, in the preface to his Saturnalia, that he was not a Roman, but laboured under the inconveniences of writing in a language which was not natural to him. Of what religion he was, Chriftian or Pagan, is uncer¬ tain. Barthius ranks him among the Chriftians ; but Spanheim and Fabricius fuppofe him to have been a heathen. This, however, is certain, that he was a man of confular dignity, and one of the chamberlains or mafters of the wardrobe to Theodofius ; as appears from a refcript direfted to Florentius, concerning thofe who were to obtain that office. He wmote a Commen¬ tary upon Cicero’s Somnium Scipionis, and feven books of Saturnalia, which treat of various fubjedls, and are an agreeable mixture of criticifm and antiquity. He w7as not an original writer, but made great ufe of other people’s works, borrowing not only their materials, but even their language, and for this he has been fatirically rallied by fome modern 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 colledled from multifarious reading, I (hall 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 colledt and digeft into fome regularity and order fuch things as I thought might be ufeful to be known. I fhall therefore here imitate the bees,'w7ho fuck the beft: juices from all forts of dowers, 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 entitled De Differen- tiis et Societatibus Graci Latinique Verbi. MACROCEPHALUS (compounded of fxctx^ u great,” and zitpuAn “ head,”) denotes a perfon with Vol. XII. Part L a head larger or longer than the common fize. Ma- Macroce- crocephali, or Long-heads, is a name given to a cer* ''1 s tain people, who, according to the accounts of authors, |\7acrooirvp. were famous for the unfeemly length of their heads : / - "■ J 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- Ihioned its head in their hands to as great a length as poflible, and afterwards ufed all fuch rollers and band¬ ages as might feem moft likely to determine its grow¬ ing long. The greater part of the iffanders in the Archipelago, fome of the people of Affa, and even fome of thofe of Europe, ftill prefs their children’s heads out lengthwife. We may obferve alfo, that the Epirots, many people of America, &c. are all bom with fome Angularity in the conformation of their heads*, either a flatnefs on the top, twro extraordinary protuberances behind, or one on each fide 5 Angularities which we can only regard as an effeft of an ancient and ft range mode, which at length is become hereditary in the nation. According to the report of many travel¬ lers, the operation of compreftmg the head of a child lengthwife, while it is yet foft, is with a view infen- fibly to enlarge the interval between the tw:o eyes, fo that the vifual rays turning more to the right and left, the fight would embrace a much larger portion of the horizon ; the advantage of which they are well ac¬ quainted with, either in the conftant exercife of hunt¬ ing, or on a theufand other occafions. Ever fince the 16th century, the miffionaries eftablilhed in the coun¬ tries inhabited by the favages of America, have en¬ deavoured to deftroy this cuftom *, and we find in the feffions of the third council of Lima, held in 1585? a canon which exprefsly prohibits it. But if it has been repreffed one wray, the free negroes and Maroons, al¬ though Africans, have adopted it, fince they have been eftabiilhed among the Caribs, folely with the view of diftinguithing their children, which are born free, from thofe who are born in ftavery. 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 lharp at the top, and flat before and behind. They fay they do this to give their heads a greater refemblance to the moon. MACROCERCI, a name given to that clafs of ani¬ malcules, which have tails longer than their bodies. MACROCOLUM, or Macrocollum (formed of pxxgog “ large,” and y.oM [ 33 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 Pour, the name of a chief who had for¬ merly conquered the whole ifland. Ihe French go¬ vernor, jealous of his renown, treated him hardily, and refufed to allow him the rank or honours due to his valour. The fovereign of the province of Amboulle, called Deaan Rafcitat, taking advantage of his difcon- tent, prevailed on him to become his general. Five Frenchmen followed him. Deaan Nong, the daugh¬ ter of Rafcitat, captivated by the perfon and heroilm of La Cafe, offered him her hand with the confent of her father. The chief, grown old, infirm, and arrived at the lail: ftage of exidence, had the iatisfa61ion of fecuring the happinefs of his fubje&s, by appointing his fon-in-law abfolute mader 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 fird fubjefl of his wife, who was declared fovereign at the death of her father. Se¬ cure in the affesdion of this princefs, who was not only poffeffed of perfonal charms, but of courage and great qualities, he was beloved and refpebted 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 profperity of his countrymen at Fort Dauphin, whom he knew to be in the utmod didrefs. The governor, regarding him as a traitor, had fet a price on his head, and on the heads of the five Frenchmen who had followed him. The neighbouring chiefs, irritated at this treat¬ ment of a man whom they fo much venerated, unani- moufiy refufed to fupply the fort with provifions. This occafioned a famine in the place, wrhich, with a conta¬ gious fever and other maladies, reduced the French gar- rifon to 80 men. The edablidiment at Fort Dauphin, on the point of being totally dedroyed, was preferved for a fhort time from ruin by the arrival of a veffel from France, commanded by Kercadio an officer of Britanny, who, with the affidance of a young advocate who had been kidnapped on board the veffel, prevailed on the envi¬ ous and implacable governor Chamargou to make peace with La Cafe and his fovereign fpoufe Deaan Nong. This peace, however, laded but for a diort time ; the French, redlefs and infolent to the neigh¬ bouring nations, again drew on them the vengeance of the natives. Even the few friends whom they had been able to acquire by means of La Cafe, w^re ren¬ dered hodile to them by the tyrannic zeal of the mif- fionaries •, who, not contented w-ith being tolerated and allowed to make converts, infided on Deaan Ma- nang, fovereign of Mandrarey, a powerful, courageous, and intelligent chief, well difpofed to the French, to divorce all his wives but one. This prince, not con¬ vinced of the neceffity of fuch a meafure, affured them that he wras unable to change his habits and w7ay of living, which were thofe of his forefathers. “ You would allow me (fays he) to have one wife ; but if the poffeffion of one woman is a bleffing, why ffiould a numerous feraglio be an evil, while peace and con¬ cord reign among thofe of wffiom it is compofed ? Do you fee among us any indications of jealoufy or ‘1 trv to make' Maftagaf* err ma¬ te phen. ai tlii ce or rj the F with his Rochon. ench 5 ] M A D hatred ? No, all our wo;- t are- ; .-l me happy; and I am mor- der.” This fpeech had no rr a ; F fuperior of the Madagafcar million, rily ordered him indantly to rtpudi;.t‘ except one; and threatened, in prtfen men, to have them taken from him ! foldiers, if he hefitated in complying mands. It is eafy to imagine, fays M. Keen , witli what indignation this language mud have been beard in the domic or palace of this prince. The fsrmdcs af- lailed the miffionary on all lides ; loaded him with ex¬ ecrations and blows $ and, in their fury, would doubt- lefs have afforded him no more quarter than the Thra¬ cian women did Orpheus, if Deaan Manang, not'.vuh- danding his own agitation, had not made ufe of all bis authority to fave him. In order to free himfelf from the perfecution of this pried, he removed with his family 70 or 80 miles up into the country; but he was foon followed by Father Stephens and another miffionary, with their attendants. The chief, Manang, dill received them civilly ; but he intreated them no longer to infid on the converfion of him and his people, as it was impeffible to oblige them to quit the cudoms and manners of their ancedors. The only reply which Father Stephen made to this intreaty, was by tearing off the oli, and the amulets and charms wffiich the chief wTore as ficred badges of his own religion ; and, throwing them into the fire, he declared war againd him and his nation. This violence indantly cod him and his followers their lives: they wTere all maffacred by order of Manang, who vowed the dedru61ion of all the French in theidand ; in which intention he proceeded in a manner that has been re¬ lated by an eyewitnefs, who wTas afterwards provincial commiffary of artillery, in a narrative publhhed at Lyons in 1722, entitled, Voyage de Madagafcar. “ Our yoke (fays the Abbe Rochon) was become odious and infupportable. Hidorians, for the honour of civilized nations, diould bury in oblivion the affiifling narratives of the atrocities exercifed on thefe people, whom we are pleafed to call barbarous, treacherous, and deceitful, becaufe they have revolted againd European adventurers, whofe lead crime is that of violating the facred rites of hofpitality.” It was about the year 1672 that the French were to¬ tally driven from the iiland of Madagafcar; and no confiderable attempts were made to form fredi edablifh- ments there till within thefe few7 years, by M. de Mo- dave, 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, a plant ufed in dyeing. See Rubia, Botany Index; and for its dyeing properties, fee Dyeing. MADEIRAS, a cinder of iflands fituated in the Atlantic ocean in W. Long. 16°, and between 320 and 33° N. Lat.—The larged of them, called Madeira, from which the red take their name, is about 55 Englidi miles long, and jo miles broad ; and was fird: difeovered on the 2d of July, in the year 1419, by Joao Gonzales Zarco, there being no hidorical founda¬ tion for the fabulous report of its difeovery by one Machin an Englifhman. It is divided into two capi- tanias, named Funchal and Maxico, from the towns of thofe c Madeira? MAD [ 336 ] MAD Ma-deiras. tnofe names. The former contains two jadicatures, viz. v Funchal and Galhettaj the latter being a town with the title of a county, belonging to the family of Caflello Melhor. The fecond capitania likewife comprehends two judicatures, viz. Maxico (read Malhico) and San Vicente. Funchal is the only citadel or city in the ifland, which has alio feven villas or towns 5 of which there are four, Calhctta, Camara de Lobos, Ribeira Braba, and Ponta de Sol in the capitania of Funchal, which is divided into 26 parilhes. The other three are in the capitania of Maxico, which conlifts of 17 parilhes ; thefe towns are called Maxico, San Vicente, and Santa Crux. There is one curiofity in the town of Funchal, which deferves to be taken notice of, and that is a chamber in one of the corners of the Francifcan convent, the walls and ceiling of which are completely covered with rows of human fkulls and human thigh bones, fo ar¬ ranged that in the obtufe angle made by each pair of the latter, eroding each other obliquely, is placed a Ikull. The only vacant fpace that appears is in the centre of the fide oppofite to the door, on which there is an extraordinary painting above a kind of altar, but what the fubjedt it is intended to reprefent, it is difficult to determine. A figure probably intended for St Fran¬ cis, the patron faint, feems to be intent on trying in a balance the comparative weight of a {inner and a faint. A dirty lamp fufpended from the ceiling, and juft glim¬ mering in the focket, ferves dimly to light up this dif- mal den of fkulls. The monk who attends as (hew- man, is careful to imprefs on the minds of thofe who vifit it, the idea that they are all relicks of holy men who died on the ifland, although Mr Barrow is of opi¬ nion that the church-yard muft have been frequently robbed, in order to accumulate fuch a prodigious num¬ ber of Ikulls, which from a rough computation made by that gentleman, could not be under 3000. The governor is at the head of all the civil and mi- litary departments of this ifland, of Porto-Santo, the Salvages, and the Ilhas Defartas j which laft only con¬ tain the temporary huts of fome fifhermen, who refort thither in purfuit of their bufinefs j his falary is com¬ puted to be vrorth 2000I. per annum, 200I. of which is in the form of a prefent from the Englifti mer¬ chants. The law department is under the corregidor, wffio is appointed by the king of Portugal, commonly fent from Lilhon, 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 Juita or judge, whom they choofe, prefides over them. At Funchal he is called Jui% da Fora; and in the ab- fence, or after the death of the corregidor, afts as his deputy. The foreign merchants eledt their own judges, called the Provudor, who is at the fame time colleftor of the king’s cuftoms and revenues, which amount in all to about 12,oool. fterling. Far the greateft part of this fum is applied towards the fala- ries of civil and military officers, the pay of troops, and the maintenance of public buildings. This revenue a/ifes, fiift from the tenth of all the produce of this ill ’ d belonging to the king, by virtue of his office as gra: d mailer of the order of thrift •, fecondly, From jten per cent, duties laid on all imports, provifions ex- 2 cepted j and ladly, From the eleven per cent, charged Madeints. on all exports. ”“,"v 1 The ifiand has but one company of regular foldiers of 100 men : the reft of the military force is a militia confiding of 3000 men, divided into companies, each commanded by a captain, who has one lieutenant un¬ der him and one enfign. There is no pay given to either the private men or the officers of this militia 5 and yet their places are much fought after, on account of the rank which they communica.v. Thefe troops are embodied once a-year, and exercifed once a-month. All the military are commanded by the Scrjeantc M6r« The governor has two Capita nos de Sal about him, who do dmy as aides de-camp. The fecular priefts on the ifland are about 1200, many of whom are employed as private tutors. Since the expulfion of the Jeluits, no regular public fchool is to be found here ; unlefs wre except a feminary, where a prieft, appointed for that purpofe, inftrutts and educates ten Undents at the king’s expence. Thefe wear a red cloak over the ufual black gowns worn by ordinary {Indents. All thoie who intend to go into orders, are obliged to qualify themfelves by ftudying in the univerfity of Coimbra, lately re-efta- bliihed in Portugal. There is alfo a dean and chap¬ ter at Madeira, with a bilhop at their head, whofe income is confiderably greater than the governor’s 5 it confifts of no pipes of wine, and of 40 muys of wheat, each containing 24 bufliels j which amounts in common years to 30C0I. flerling. Here are like¬ wife 60 or 70 Francifcan friars, in four monafteries, one of which is at Funchal. About 320 nuns live on the ifland, in four convents, of the order of Merci, Sta Clara, Incarnacao, and Dom Jefus. Thofe of the laft mentioned inftitution may marry whenever they choofe, and leave their monaftery. In the year 1768, the inhabitants living in the 43 parifties 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 diftemper carried off fo difproportionate a number in that year, as the ifland would ftiortly 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 feafon •, and in the winter the fnow remains there for feveral days, whilft it is never known to continue above a day or two in the lower parts. The common people of this ifland are of a tawny- colour, and well ffiaped ; 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 j 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. 'I heir women are too frequently ill-favoured, and want the florid complexion, which, when united to a pleafing affem- blage MAD t 337 1 M A D Madeifas blage of regular features, gives our northern fair ones - many fountainswhere the nobility and genti y take the air on horfeback, or in their coaches, and the com¬ mon people on foot, or divert themfelves with a variety of fports and exercifes. Almoft all the ftreets of Ma¬ drid are ftraight, wide, clean, and well paved. The largeft and moft frequented are the ftreet of Alcala, that of Atocha, that of Toledo, and the Ca//e Grande or great ftreet. Madrid has alfo feverat fquares, which in general are not very regular, d. he principal are thofe of San Joachim, Sol, Lafganitas, San Domingo, La Cevado, and the Plaza Mayor. The latter^ efpe- cially deferves notice for its fpacioufnefs and regularity, and the elegant and lofty houfes it contains. It is 1 53^ feet in circuit. The houfes, of which there are 136, are of five ftories, ornamented with balconies; the firft of which, fupported by pillars, forms a piazza round the fquare, where the inhabitants may walk under co¬ ver. In the middle of the fquare a market is kept.— The ftreets and fquares of Madrid, except the Plaza Mayor which has been juft deferibed, are ornamented with fountains in a very ill tafte. d nofe moft to oe di- ft'mguilhed in this particular are the fountain of the fmall irregular fquare called P/axa di Antonio Martin, and that of the fquare named Puerto del Sol. I he others are not more magnificent though lefs ridiculous. The water of all thefe fountains is excellent } and the air of Madrid, though the weather be variable and un¬ certain, is extremely pure. It was this purity of the air and excellent quality of the water which induced Philip II. and his fucceffors to fix their refidence in this city. It is alfo well fupplied with provifions of all kinds at reafonable rates 5 and the court, with the refort and refidence of the quality, and the high colleges and of¬ fices that are kept here, occafion a brilk. trade and cir¬ culation of money. The facred edifices in this city have nothing remark¬ able in their architefture } thofe of St Pafqual, St Ifa- bella, and the Carmelites, contain highly valuable col- lefilions of piiffures, which may be feen with admiration even after the paintings of the Efcurial and the new pa¬ lace. The church of St Ifidro, which heretofore be¬ longed to the Jefuits, has a portal which has efcaped the contagion of the age in which it was built. There is another church much more modern, which on ac¬ count of its mafs has a venerable appearance, but which true tafte may juftly difavow : it is that of St Saleias, or the Vifitation, founded by Ferdinand VI. and the queen Barbara his wife.—The convent of St Francis * Bourgo- has already been fome years building *, and there are anne's hopes that it will become one of the fined produflicns •vets in arc]iite£lure in the capital.—Beiides a variety of cha- vitzble foundations, there are here three confraternities, the revenues of which are appropriated to the fuccour of the wretched : and an inftitution fimilar to the Mont de Piete in Paris, the principal objeft of which is to ad vance money to the neceflitous. The city of Madrid contains 15 gates, 18 parithes, 35 convents of monks, and 31 of nuns; 39 colleges, hofpitals, or houfes of charity ; 7398 dwelling-houfes, and about 160,coo inhabitants. The Lombard tra¬ veller, Father Caimo, tells us, that 50,000 ftieep and 1 2,000 oxen are annually confumed there ; to which his editor has added a ludicrous eftimate of the onions and leeks devoured there, which he lays amount to 979000000000000000000000000000045. But this writer (M. Bourgoanne obferves) would not at pre- fent have any reafon to complain ol the difagreeable fmells of the ftreets, nor would he find all the per¬ fumes of Arabia neceffary to defend himfelf from them. By the vigilance of the modern police, for which (M. Bourgoanne informs us) it is indebted to the Count d’Aranda, it is rendered one of the cleaneft cities in Europe. There are four academies in Madrid : The firft is the Spanilh academy, founded in 17I4> invitation of the French academy, and confifting of 24 members, including the preiident. Its device is a crucible on burning coals, with the motto hmfna, Jixa, y da efplen- der; “ it purifies, fixes, and gives luftre.” Its firft objedl was the compilation of a di&ionary of the Spa- nith language, which was published in fix volumes folio, and of which a new edition, with great additions, has been lately put to die prefs. The lame academy is alfo employed on a fuperb edition of Don (ftuixotte, adorned with elegant engravings far fuperior to the laft, and collated with ail the former editions. The fecond is the academy of hiftory ; which owes its ori¬ gin to a fociety of individuals, the objedl of whofe meetings was to preferve and illuftrate the hiftorical monuments of the kingdom of Spain. Their labours met the approbation ol Philip V. who in 1738 con¬ firmed the ftatutes by a royal cedula. This academy confifts of 24 members, including tbe prefident, fecrc- tary, and cenfor. Its device is a river at its fource ; and the motto, Inpatriam populumque Jluit. Ine other two academies are, the academy of the fine arts, painting, fculpture, and architefture ; and the aca¬ demy of medicine. The latter is held in no great efteem. The environs of Madrid contain feveral royal leats ; among which are El Buen Retiro, Cafa del Campo, Florida, Le Pardo Sarfuela, and St Ildefonfo ; but the moft magnificent not only in this country but perhaps in the whole world is the Efcurial, which takes its name from a fmall village near which it ftands, about 22 miles north-weft from Madrid ; and of which a d> feription is given under the article ESCURIAL. Ano¬ ther royal palace, greatly admired, particularly for its delicious gardens and furprifing water-works, is Aran- juez, which is fituated on the Tagus, about 30 miles Youth of Madrid. See Aranjuez. MADRIGAL, a ihort amorous poem, compofed of a number of free and unequal veries, neither confined to the regularity of a fonnet, nor to the point of an epi¬ gram ; but only confifting of fome tender and delicate thought, expreffed with a beautiful, noble, and elegant fimplicity. Menage derives the word from mandra, which in Latin and Greek, fignifies “ a fheep-lold imagining U u 2 it Madrid. M A E Madura Maecenas. it to have been originally a kind of paftoral or fhep hei/’sfong; whence the Italians formed their madri- galer and we madrigal. Others rather choofe to derive it from the word madrugar, which in the Spanifh lan¬ guage fignifies “ to rife in the morning the madri- ga/es being formerly fung early in the morning by thole who had a mind to ferenade their midreffes. MADURA, a province of Afia, in the peninfula on this fide the Ganges ; bounded on the call by Tanjour and Marava, on the fouth-eaft by the fea, on the weft by the Balagate mountains, which feparate it from Ma¬ labar, and on the north by Vifiapour and Carnate. The inhabitants are Gentoos, and of a thievifti difpofi- tion, R he commodities are rice, elephants teeth, and cotton cloth ; of which laft a great deal is made here, and very fine. The Dutch have a pearl fiftiery, which brings them in a large fum annually. MEANDER, in Ancient Geography, a celebrated river of Afia Minor, rifing near Celaence. It flows through Caria and Ionia into the iEgean fea between Miletus and Priene, after it has been increafed by the waters of the Marfyas, Lycus Eudon, Lethseus, &c. It is celebrated among the poets for its windings, which amount to not lefs than 600, and from which all obli¬ quities have received the name of niceanders. It forms in its courfe, according to the obfervation of fome tra¬ vellers, the Greek letters £ £ | ; and from its windings Daedalus is faid to have had the firft idea of his famous labyrinth. MyEAPiE, anciently a people of Britain, near Se- verus’s wall, inhabiting the diftridl now called Lauder¬ dale, in Scotland. MAECENAS, Caius Cilnius, the great friend and counfellor of Auguftus Caefar, was himfelf a very polite fcholar, but is chiefly memorable for having been the patron and prote&or of men of letters. He was de¬ fended fiom a moft ancient and illuftrious origin, even from the kings of Hetruria, as Horace often tells us •, but his immediate forefathers were only of the equef- trian order. He is fuppofed to have been born at Rome, becaufe his family lived there ; but in wrhat year, anti¬ quity does not tell us. It fays as little about his educa¬ tion ; but we know it muft have been of the moft libe¬ ral kind, and perfectly agreeable to the dignity and fplendour of his birth, fince he excelled in every thing that related to arms, politics, and letters. How Mse- cenas fpent his younger years is alfo unknown to us, any farther than by effeCls ; there being no mention made of him by any writer before the death of Julius Caefar, which happened in the year of Rome 709. Then Oftavius Caefar, who was afterwards called Au- gujlus, w'ent to Rome, to take polTeffion of his uncle’s inheritance ; and then Maecenas became firft publicly known, though he appears to have been Auguftus’s in¬ timate friend, and as it fhould 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 Ptedo Albinovanus jmfiy called him Ca-far is dextram, “ Csefar’s right- hand.” In A. R. 710, the year that Cicero was killed and Ovid born, Maecenas diftinguifhed himfelf by his cou¬ rage and mibtary fkill at the battle of Modena, where the con fills Hirtius and Panfa were {lain in fighting againft Antony j as he did afterwards at Philippi. [ 34° ] MAE After this laft battle began the memorable friendxhip 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 accompliihed man, became immediately his friend and protector; and afterwards recommended him to Auguftus, who reftored to him his eftate with no frnall additions. In the mean time, though Maecenas behaved himfelf well as a foidier in thefe and other battles, yet his principal province was that of a minifter and counfellor. He was the adviler, the manager, the negociator, in every thing that related to civil affairs. When the league was made at Brundufium between Antony and Au¬ guftus, Ma?cenas was fent to act on the part of Au¬ guftus. 1 his we learn from Horace in his journey to Biundufium: Hue venturus erat Maecenas optimus, atque Cocceius, mijji magnis de rebus uterque Legati, avtrfos fohti componere amicos. Sat. v. lib. 1. And afterwards, when this league was near breaking, through the iufpicions of each party, Macaenas was fent to Antony to ratify it anew. In the year 717, when Auguftus and Agrippa went to Sicily to fight Sextus Pompeius by lea, 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 military expeditions, yet whenever there was any thing to be done at Rome either with the fenate or people, he was always defpatched thither for that purpofe. Upon the total defeat of Antony at A&ium, Meece- nas returned to Rome, to take the government into his hands, till Auguftus could fettle forne neceffary affairs in Greece and Afia. Agrippa foon followed Maecenas j 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 Auguftus was extinguilhing the remains of the civil war in Afia and Egypt, young Lepidus, the fon of the triumvir, was forming a fcheme to affaflinate 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 rath councils of the headftrong youth with the fame tranquillity and calm- nefs as if nothing at all had been doing, inftantly put him to death, without the leaft noife and tumult $ and by that means extinguithed another civil war in its very- beginning.” ' The civil wmrs being now sat an end, Auguftus re¬ turned to Rome ; and from this time Maecenas indulged 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 excefiively fond of this poet, who, of all the wits of the Auguftan age, flood 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, pofterity cannot comme- n !*rate him with too much gratitude. Horace may be ranked next to Virgil in Maecenas’s good graces : we have already mentioned how and at what time their friendlhip commenced. Propertius alfo acknowledges Maecenas for his favourer and prote£for,it hb. ii. eleg. 7. Nor Msec M A E [ 341 1 M A E Maecenas. Nor mud Varius be forgot, though we have nothing of 'v ' 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 welcome 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 comedies : to Fulcus Ariftiys, a noble grammarian, and Horace’s intimate friend: to Plotius I ucea, who affifted Varius in correcting the iEneid after the death of Virgil ; to Valgius, a poet and very learned man, who, as Pliny tells us, dedicated a book to Auguftus, De ufu Herbarum ; to Afinius Pollio, an excellent tra¬ gic writer 5 and to feveral others, whom it would be tedious to mention. All thefe dedicated their works, 01 fome part of them at lealt, to Maecenas, and cele¬ brated his praifes in them over and over : and we may obferve farther, what Plutarch tells us, that even Au- gullus himfelf infcribed his Commentaries to him and to Agrippa. Maecenas continued in Augutlus’s favour to the end of his life, but not uninterruptedly. Auguftus had an intrigue with Maecenas’s wife : and though the minifter bore this liberty of his mailer very patiently, yet there was a coldnefs on the part of Auguftus, which, how¬ ever, foon went off. Maecenas died in the year 745 ; but at wrhat age we cannot precifely determine, though we know he muft have been old. He mult have been older than Auguftus, 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 cotemporary poet, whofe elegy upon his dead patron is (till extant. He made Auguftus his heir ; and recommended his friend Florace to him in thofe memorable laft words, “ Hora- tii Flacci, ut mei, memor e/?o,” &c. Horace, how¬ ever, 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 editor of Horace, will have it, that the poet died before his patron ; and that thefe laft wmrds were found only in Maecenas’s will, which had not been altered. Maecenas is faid never to have enjoyed a good ftate of health in any part of his life : and many Angularities are related of his bodily conftitution. 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 ileep. Though he was certainly an extraordinary man, and poffeffed many admirable virtues and qualities, yet it is agreed on all hands, that he was very luxurious and ef¬ feminate. “ Maecenas (fays Velleius Paterculus) was of the equeftrian order, but fprung from a moft illuf- trious origin. He vvas a man, who, when bufinefs re¬ quired, was able to undergo any fatigue and watching j who confulted properly upon all occafions, and knew as well how to execute what he had confulted •, yet a man who in fea'ons of leifure was luxurious, foft, and effe¬ minate, almoft beyond a woman. He was no lefs dear to Caefar than Agrippa, but diftinguiftied by him with fewer honours •, for he always continued of the equef¬ trian 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 mcralifts and politicians determine of Muece- Ma'elftrom * nas as they pleafe, the men of letters are under high v obligations to celebrate his praifes and revere his memo¬ ry : for he countenanced, protected, and fupported, as far as they w’anted his fupport, all the wits and learn¬ ed men of his time *, and that, too, out of a pure and dilinterefted love of letters, when he had no little views of policy to ferve by their means : whence it is no wonder, that all the proteflors and patrons of l earning, ever fince, have ufually been called Maecenas's. MAELSTROM, a very dangerous whirlpool on the coaft of Norway, in the 68th degree of latitude, in the province of Nordland, and the diftrifl of Lofoden, and near the ifland of Mofkoe, from w'hence it alfo takes the name of MofkoeJlrom. Its violence and roarings exceed that of a catarafl, being heard to a great diftance, and without any intermiftion, except a quarter every fixth hour, that is, at the turn of high and low water, when its impetuofity feems at a (land, wThich fhort interval is the only time the filhermen can venture in ; but this motion foon returns, and, however calm the fea tpiay be, gradually increafes with fuch a draught and vortex, as abforb whatever comes within their Iphere of aclion, and keep it under water for fome hours, when the fragments, ftfivered by the rocks, appear again. This circumftance, among o~ thers, makes ftrongly againft Kircher and others, who imagine that there is here an abyfs penetrating the globe, and iffuing in fome very remote parts, which Kircher is fo particular as to aftign, for he names the gulf of Bothnia. But after the moft exadl refearches which the circumftances will admit, this is but a con- jeffure without foundation •, for this and three other vortices among the Ferroe iflands, but fmaller, have no other caufe than the collifion of w7aves ri'.lng and falling, at the flux and reflux, againft a ridge of rocks and (helves, which confine the water fo that it precipi¬ tates itfelf like a catarafl ; and thus the higher the flood rifes, the deeper muft the fall be ; and the na¬ tural refult of this is a whirlpool or vortex, the pro¬ digious fuilion whereof is fufficiently known by leffer experiments. But what has been thus abforbed, re¬ mains no longer at the bottom than the ebb lafts ; for the Tuition then ceafes, and the flood removes all at¬ traction, and permits whatever had been funk to make its appearance again. Of the fituation of this amazing Molkoe-ftrom we have the following account from Mr Jonas Ramus : “ The mountain of Helfeggen, in Lo¬ foden, lies a league from the ifland Ver, and betwixt thefe two runs that large and dreadful ftream called MoJkoe-Jlrom, from the ifland Molkoe, which is in the middle of it, together with feveral circumjacent illes, as Ambaaren, half a quarter of a league northward, Iflefen, Hoeholm, Kieldholm, Suarven, and Back- holm. Mofkoe lies about half a quarter of a mile fouth of the ifland of Ver, and betwixt them thefe fmall iflands, Otterholm, Fiimen, Sanflefen, Stock¬ holm. Betwixt Lofoden and Molkoe, the depth of the water is between 36 and 40 fathoms ; but on the other fide, towards Ver, the depth derreafes, fo as not to afford a convenient paffage for a vt-ffel, without the rilk of fplitting on the recks, which ha. pens even in the calraeft wTeather : when it is flood, the ftream runs up the country between Lofoden and Molkoe with a boifterous rapidity : but the roar of. its impetuous ebb to. ; M A E [ 342 ] M A F Moamadle- to the Tea is fcarcelv equalled by the loudeft and moll na dreadful catara£ls j the noife being heard feveral leagues Mceonides anc^ tne rortices or P^ts are o!; ^'uc^ an extent and —y— death, that if a fhip comes within its attraction, it is inevitably abforbed and carried down to the bottom, and there beat to pieces againfl the rocks ; and when the water relaxes, the fragments thereof are thrown up again. But thefe intervals of tranquillity are only at the turn of the ebb and flood, and calm weather ; and lafl: but a quarter of an hour, its violence gradually re¬ turning. When the ftream is moft boifterous, and its fury heightened by a ftorm, it is dangerous to come within a Norway mile of it : boats, ihips, and yachts having been carried away, by not guarding againft it before they were within its reach. It likewile happens frequently, that whales come too near the ftream, and are overpowered by its violence ; and then it is impof- fible to defcribe their bowlings and bellowings in their fruitlefs if niggles to difengage themfelves. A bear once attempting to fwim from Lofoden to Moikoe, with a deiign of preying upon the iheep at paflure in the ifiand, afforded the like fpeftacle to the people •, the ftream caught him, and bore him down, whilft he roared terribly, fo as to be heard on fhore. Large flocks of firs and pine trees, after being abforbed by the current, rife again, broken and torn to inch a de¬ gree as if briftles grew on them. This plainly {hows the bottom to confift of craggy rocks, among which they are whirled to and fro. This ftream is regulated by the flux and reflux of the fea •, it being conftantly high and low water every fix hours. In the year 1645, early in the morning of Sexagefima Sunday, it raged with fuch noife and impetuofity, that on the illand .of Mofkoe, the very if ones of the houfes fell to the ground.” M/EMACTERI A, faciifices offered to Jupiter at Athens in the winter month MteraaCterkm. The god furnamed Mtemacles was entreated to fend mild and temperate weather, as he prefided over the feafons, and was the god of the air. MrEM ACTERION, was the fourth month of the Athenian year, containing twenty-nine days, and an- fwering to the latter part of our September, and the beginning of OCfober. It received its name from the feftival Matmatteria, which was obferved about this time. This month was called by the Boeotians Aial- comenius. MAIN A. See Sfarus, Ichthyology Index. MAIN ALUS, in Ancient Geography, a mountain of Arcadia facred to the god Pan, and greatly frequented by fliepherds. It received its name from Maenalus a fon of Lycaon. It was covered with pine trees, whofe echo and fhade have been greatly celebrated by all the ancient poets. MAuONIA, or Moeonia, a country of Afta Minor, and forming part of Lydia; namely the neighbourhood of Mount Tmolus, and the country watered by the Pablolus. The reft on the fea coaft was called Lydia. See Lydia. MALONIDAu, a name given to the mufes, becaufe Homer, their greateft and worthieft favourite, was fuppofed to be a native of Maeonia. MALONIDES, a furname of Homer, becaufe, ac¬ cording to the opinion of fome writers, he -was born in M«onia, or becaufe his father’s name was Mseon. 3 MALOTIS TALUS or LACUS, Mceotica Pa/us, or Meo- Maeftfin ticus Lacus, in Ancient Geography, a large lake or part , of the fea between Europe and Afia, at the north of the 1 " " e“ Euxine, to which it communicates by the Cimmerian Bofphorus. It was worfhipped as a deity by the Maf- fagetse. It extends about 390 miles from fouth-weft to north-eaft, and is about 600 miles in circumference. Still called Pa/us Mcvotis, reaching from Crim Tartary to the mouth of the Den. MAtSTLIN, Michael, in Latin Mcefllinus, a ce¬ lebrated aftronomer of Germany, was born in the duchy of Wittemberg ; but fpent bis youth in Italy, where he made a fpeech in favour of Copernicus’s fyftem, which brought Galilgeo over from Ariflotle and Ptolemy, tt> whom he had been hitherto entirely devoted. He af¬ terwards returned to Germany, and became profefl.br of mathematics at Tubingen ; where, among his other fcholars, he taught the great Kepler, who has praifed feveral of his ingenious inventions, in his AJlronomia Optica. Though Tycho Brahe did not affent to Mteft- lin’s opinion, yet he allowed him to be an extraordinary perfon, deeply Ikilled in the fcience of aftronomy. Mcefllin pnbliihed many mathematical and aflronomical works $ and died in 1590. MAESTRICHT, an ancient, large, and flrong town of the Netherlands, ceded to the Dutch by the treaty of Munfter. The townhoufe and the other public buildings are bandfome, and the place is about four miles in circumference, and ftrongly fortified. It is governed jointly by the Dutch and the bithop of Liege.; however, it has a Dutch garrifon. The in¬ habitants are noted for making excellent fire arms, and fome fay that in the arfenal there are arms fufficient for a whole army. Both Pauifts and Proteftants aie allowed the free exercife of their religion, and the ma- glftrates are compoled of both. It is feated on the river Maefe, which feparates it from Wyck, and with which it communicates by a bandfome bridge. Mae- ftricht revolted from the Spaniards in but was reduced in 1579. Lotus XiV. became mafter of it in 1673 ; but it was reftored to the ftates by the treaty ofNimeguen in 1678. It was again taken by the French in 1794. E. Long. 5. 50. N. Lat. 51- 5* MAFFA-US, Vegio, a Latin poet, born in Lom¬ bardy in 1407, was greatly admired in his time. He wrote epigrams, a'nd a humorous fupplement to Virgil, which he called The thirteenth bock of the JEneid: this was as humoroufly tranflated into Englifh a few years fince by Mr Ellis. Maffaeus wrote alfo fome profe works. He was chancellor of R ome towards the end of the pon¬ tificate of Martin V.; and died in 1438. MAFFEI, Scipio, a celebrated Italian poet, born of an illuftrious and ancient family at Verona, in 1675. After having finilhed his fludies, he took arms, and diftinguiflied himfelf by his valour at the battle of Do- nawert; but he more particularly diftinguifhed himfelf by his love of learning, which made him undertake fe¬ veral voyages into France, England, and Germany. He converfed with the learned in all thofe countries, and obtained their friendftiip and efteem. He was a member of the academy of the Arcadia at Rome, an honorary foreign member of that of Infcriptions at Paris; and died in 1755. He wrote many works in verfe and profe, which are efteemed : the moft known of which are, 1. The tragedy of Metope, of which there MAG [ 543 ] MAG Magada « . Magazine. there are two French tranflations in profe. 2. Cere¬ mony, a comedy. 3. A tranflation, into Italian verfe, of the firlt book of Homer’s Iliad. 4. Many other pieces of poetry, in a colledlion entitled Rhyme and Profe, quarto. His principal works in prole are, I. Verona illujlrata. 2. Ijloria diplomatic a. 3. Scictrza cava/lerefca ; an excellent work, in which he attacks duelling. 4. An edition of Theatro Itahano. 5. An edition of Caffiodorus on the Epitfles, Adis of the A- poftles, and Apocalyple. 6. Galilee Antiquitates quer- dam JelecAce atque in plures epijlolas dijlributce ; and ie- veral other works. MAGADA, in Mythology, a title under which Ve¬ nus was known and worihipped in Lower Saxony j where this goddefs had a famous temple, which was treated with refpedl even by the Huns and Vandals when they ravaged the country. It is faid to have been deltroyed by Charlemagne. MAGADOXO, the capital town of a kingdom of the fame name, in Africa, and on the coaft of Ajan. It is feated near the mouth of a river of the fame name, defended by a citadel, and has a good harbour. The inhabitants are Mahometans. E. Long. 45. 15. N. Lat. 3. o. MAGAS, Magadis. (from pxyxditlyuv, “ to ling or play in unifon or odlave,”) the name ot a mulical in- ilrument in ufe among the ancients.” There were twm kinds of magades, the one a firing inftrument, formed of 20 chords arranged in pairs, and tuned to unifon or octave, fo that they yielded ten founds 5 the invention rvhereof is alcribed by fome to Sappho •, by others, to the Lydians; and by fome, to Timotheus of Miletus. The other was a kind of flute, which at the fame time yielded very high and very low notes. The former kind was at lead; much improved by Timotheus of Miletus, who is faid to have been impeached of a crime, becaufe by increafing the number of chords he fpoiied and diicredited the ancient mufic. MAGAZINE, a place in which (lores are kept, of arms, ammunition, proviflons, &c. Every forti¬ fied town ought to be furnilhed with a large maga¬ zine, which fhould contain (lores of ail kinds, fuffi- cient to enable the garrifon and inhabitants to hold out a long fiege ; and in which (miths, carpenters, wheelwrights, &c. may be employed in making every thing belonging to the artillery 5 as carriages, wag¬ gons, &c. Powder Magazine, is that place where the powder is kept in very large quantities. Authors differ greatly both with regard to their fituation and cohflrudlion ; but ail 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 differ¬ ent parts of the town. The firlt powder magazines tvere made with Gothic arches : but M. Vauban find¬ ing them too weak, conftrufled them in a femicircular form; vvhofe dirnenfionsare 60 feet long within, and 25 broad ; the foundations are eight or nine feet thick, and eight Tet high from the foundation to the fp ing of the arch ; rhe floor is two feet from the ground, v/hich keeps it from dampnefs. One of our engineers of great experience fome time fince had obfei ved, that after the centres of femicircu¬ lar arches are ftruck, they fettle at thee rown and rife up at the hunches, even with a (Iraight horizontal ex- Magazine, trades, and dill much more fo in powder magazines, whole 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 effects are exactly what might be expected agreeable to the true theory of arches. Now, as this (hrinking of the arches mult be attended with very ill confequen- ces, by breaking the texture of the cement after it has been in (ome degree dried, and alfo by opening the joints of the voufl'oirs at one end, fo a remedy is pro¬ vided for this inconvenience with regard to bridges, by the arch of equilibration in Mr Hutton’s book on bridges ; but as the ill eff'edl is much greater in powder magazines, the fame ingenious gentleman propofed to find an arch of equilibration (or them alio, and to con- ftx’udl it when the fpan is 20 feet, the pitch or height 10 (which are the fame dimenli ms as the femicircie), the inclined exterior walls at top forming an angle of 113 degrees, and the height of their angular point a- bove the top of the arch equal to feven feet. This very curious quefiion was anfwered in 1775 by the reverend Mr Wildbore, to be found in Mr Hutton’s Mifcellanea Mathemaiica. Artillery Magazine. In a liege, the magazine is made about 25 or 30 yards behind the battery, towards the parallels, and at leail three feet under ground, to hold the powder, loaded (hells, portfires, &c. Its (ides and roof mull be well fecured with boards to prevent the earth from falling in : a door is made to it, and a double trench or paffage is funk from the magazine to the battery, one to go in and the other to come out at, to prevent confulion. Sometimes traveries are made in the paflages to prevent ricochet (hot from plunging into them. Magazine, on fnipboard, a clofe room or ffore- houfe, built in the fore or after-part of the hold, to contain the gunpow’der ufed in battle. This apart- ment is llrongly lecured againll fire, and no perlon is allowed to enter it with a lamp or candle : it is there¬ fore lighted, as occalkm requires, by means of the candles or lamps in the light-room contiguous to it. Magazine Air-Gun. See Am-Gun. Magazines, Literary; a well-known fpecies of pe¬ riodical publications’, of which the firlt that appeared was The Gentleman's, let on foot by the projector Mr Edward Cave in the year 1731 : (fee the article Cave). This, as Dr Kippis obferves *, “ may be confidered as *Biog.Briti lomething of an epocha in the literary hiltory of this A-rt* country. The periodical performances before that time ^AVE- were almoft wholly confined to political traniaclions, and to foreign and domeflic occurrences ; but the monthly magazines have opened a wav . for every kind of inquiry and information. The intelligence and dif- cuffion contained in them are very extenfive and va¬ rious : and they have been the means of diffufing a ge¬ neral habit of reading through the nation, which in a certain degree hath enlarged the public underitanding. Many young authors, who have afterwards rifen to con- fiderable eminence in the literary world, have here made their firll attempts in compofition. Here too are preferved a multitude of curious and ufeful hints, obfer- ~ vations, and tafts, which othervvife might have never appeared ; or it they had appeared in a more evanefeent form, would have incurred the danger of being loll. If 1L Magde¬ burg. MAG [ 344 ] Magdalen, it were not an invidious talk, the hiftory of them would weft by be no incurious or unentertaining fubjedf. The maga¬ zines that unite utility with entertainment, are undoubt¬ edly preferable to thofe [if there have been any fuch') which have only a view to idle and frivolous amufe- tnent. It may be obferved, that two of them, The Gentteman's 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 latter origin.”—The original London Magazine, it is believed, has been difcontinued for fome years paft.—The next oldelt publication of this kind is that entitled The Scots Magazine; which was commenced at Edinburgh a few years poilerior to the appearance of the Gentleman's at London ; which, like it, has furvived many rivals ; and which Hill fubfifts, defervedly efteemed for the chaltenefs of its plan and the accuracy of its information. MAGDALEN, Mary. See Mary. Religions of St Magdalen, a denomination given to divers communities of nuns, conlifting generally of pe¬ nitent courtezans *, fometimes alfo called Magdalenettes. Such are thofe at Metz, eftablifhed in 1452 ; thofe at Paris, in 1492; thofe at Naples, firft eftablilhed in 1324, and endowed by Queen Sancha, to ferve as a retreat for public courtezans, who fhould betake them- felves to repentance •, and thofe of Rouen and Bour- deaux, which had their original among thofe of Paris in 1618. In each of thefe monalteries there are three kinds of perfons and congregations \ the firft confift of thofe w7ho are admitted to make vows, and thefe bear the name of St Magdalen ; the congregation of St Mar¬ tha is the fecond, and is compofed of thofe whom it is not judged proper to admit to vows; finally, the con¬ gregation of St Lazarus is compofed of luch as are de¬ tained there by force'. The religious of St Magdalen at Rome were eftablifh- ed by Pope Leo X. Clement VIII. fettled a revenue on them and farther appointed, that the eftefts of all public proftitutes, dying inteftate, ihould fall to them 5 and that the teftaments of the reft (hould be invalid unlefs they bequeathed a portion of their effedls, which was to be at leaft a fifth part, to them. Magdalen Hofpilal. See Lokdon, 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 dhiance by thofe wdro difcover- 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 condudf travellers. It is divided into feveral apartments, or halls, with a vaft number of pillars form¬ ed by nature, which give it a beautiful appearance, they being as white as fnowq and almoft tranfparent. The bottom is of the fame fubftance, infomuch that a perfon may fancy himfelf to be walking among the ruins of an enchanted caftle, furrounded with magnificent pillars, fome entire and others broken. MAGDEBURG, a duchy of Germany, in the circle of Lower Saxony ; bounded on the north by the duchy of Mecklenburgh, on the fcuth and fouth- 1 M A G the principality of Anhalt and Halberftadt, Magde- on the eaft by Upper Saxony with part of Branden- i burg- 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, marihy, or overgrown with woods. There are fait fprings in it fo rich, that they are fufficient to fupply all Germany with that 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 pafles through it •, and the Saale, Havel, After, Ohre, and Elfter, either rife in, or wafti fome part of it in their eourle. The w7hole duchy, exclufive of that part of the county of Mansfeldt which is connefted 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 fubjedf to the electoral houfe of Brandenburgh, frequent diets were held in it j but at prefent no diets are held, nor have the ftates the direftion of the finances as for¬ merly. Before the Reformation, it was an arch- biftiopric, fubjeft in fpirituals to the pope alone, and its prelate was primate of all Germany •, but embracing the Reformation, it chofe itfelf adminiftrators, till the treaty of Munfter in 1648, when it was given, toge¬ ther with the bilhopric of Halberftadt, to the eledlor of Brandenburgh, as an equivalent for the Hither Po¬ merania, granted by that treaty to the king of Sweden. Lutheranifm is the predominant religion here } but Cal- vinifts, Jews, and Roman Catholics, are tolerated. Of the laft there are five convents, who never embraced the Reformation. Aft the Lutheran pariihes, amount¬ ing to 314, are fubjedt to 16 infpeftors, under one ge¬ neral fuperintendant; only the clergy of the old town of Magdeburg are under the dire&ion of their fenior. The Jews have a fynagogue at Halle. The manufac¬ tures of the duchy are cloth, Hull's, ftockings, linen, oil- Ikins, leather, and parchment 5 of which, and grain of aft forts, large quantities are exported. 1 he arms of it are, Party per pale, ruby, and pearl. I he king of Pruffia, as duke of Magdeburg, fits and votes be¬ tween the eleilor of Bavaria, as duke of Bavaria, and the eleftor palatine, as palfgrave of Lautern. Of the ftates of the circle of Lower Saxony he is the firft. His matricular affeffment for the duchy is 43 horfe and 196 foot, or 1300 florins monthly, and to the chamber of Wetzlar 343 florins and 40 kruitzers. lor the civil government of the duchy there is a council of regency, with a war and demefne chamber •, and for the eccle- fiaftical a\'onfiftory and general fuperintendant. The revenues of the duchy, arifing from the falt-wOrks, de¬ mefne, and taxes, fome of which are very heavy and oppreflive, are faid to amount to 80c,000 rixdollars annually. With refpeft to fait, every houfekeeper in the Pruflian dominion is obliged to buy a certain quantity for himfelf and wife •, and alfo for every child and fervant, horfe, cow, calf, and (beep, that be pof- fefies. The principal places are Magdeburg, Halle, and Glaucfje. MAGDEBURG, a city of Germany, in a duchy of the fame name, of which it is not only the capital, but that - of MAG [ 345 ] MAG Magde- burg. of all Lower Saxony, and formerly even of all Germany. It ftands 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 fignifies the maiden city; which, fome imagine, took itsdfe 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 em- prefs Editha, daughter to Edmund the Saxon kmg. of England. The fame emperor founded a Benedicfine convent here, which he afterwards converted into an archbifhopric, of which the archbifhop was a count- palatine, and had very great privileges, particularly that of wearing the archiepifcopal pallium, and having the erofs borne before him, befides many others. I he firft tournament in Germany is faid to have been appointed near this city, by the emperor Henry the Fowler-, but thefe paftimes were afterwards abolifhed, becaufe they eccafioned fuch envy and animofity among the nobi¬ lity, that feveral of them killed one another upon the Ipot. The fituation of the city is very convenient and pleafant, upon the banks of the Elbe, amid ft fpacious fruitful plains, and on the road betwixt High and Low Germany. It has been a great fufferer by fires and fleges 5 but by none fo much as that in 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 afhes, except the cathedral, the convent of our Lady, and a few cottages belonging to fifhermen j of 40,000 burghers, not above 400 efcaping. The foldiers fpared neither age nor fex ; but ripped up w-omen with child, murdered fucking "infants in fight of their parents, and ravifhed 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, guildhall, and cathedral. The laft is a fuperb ftru&ure 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 flatue of St Maurice, a por¬ phyry font, an altar in the choir of one ftone of di¬ vers colours, curioufly wrought, and many other cu- xiofities. They fhow here a bedftead and table which belonged to Martin Luther, when he was an Auguf- tine friar in a cloifter of this city before the Refor¬ mation. Among the relics, they pretended to have the bafon in which Pilate wafhed his hands after his condemnation of our Saviour -, the lantern w-hich Judas made ufe of when he apprehended him } and the lad¬ der on which the cock crowed after St Pei.er denied him. The chapter confifts of a provoft, fixteen 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 gymnafiurn, with an aca¬ demy, in which young gentlemen are inflrudfed in the art of war. The canons of the chapter, which, except the change of religion, is upon the fame footing as before the Roformation, muft make proof of their nobility. The prebends and dignities are all in the Vol. XII. Part I. gift of the ele£!cr ; and the revenue of the provoft is Magdolura, computed at 1 2,600 crowns a-year. Here is a great an-, trade, and a variety of manufactures. The chief are thofe of woollen cloths and fluffs, 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 privileges and advan¬ tages, procured it the grant of a yearly fair. The bur- gravate of this city was anciently an office of great power j having the civil and criminal jurifdiCtion, the office of hereditary cupbearer being annexed to it ; and was long held as a fief of the archbiftiopric, but after¬ wards became an imperial fief, which was again con¬ ferred on the archbiihopric by the ele&or of Saxony, upon certain conditions. f MAGDOLUM, or M AGO ALUM, AncTent Geo¬ graphy^ a town of the Lower Egypt, twelve miles to the fouth of Pelufium (Herodotus, Antonine), which doubtlefs is the Migdol or Magdol of Jeremiah.—Ano¬ ther Magdalum, or Migdol, denoting literally “ a tower or place of ftrength,” near the Red fea, (Moles); far to the fouth of the former. MAGELLAN, Ferdinand ok, an eminent na¬ vigator, was by birth a Portuguefe, of a good family. He ferved in the Eaft Indies with reputation for five years under Albuquerque, and in 1510 he greatly di- ftinguifhed himlelf at the battle of Malacca. Deeming his fervices poorly repaid by his own court, he entered into the employment of Charles \ . king of Spain. He has been charged with peculation by fome of his coun¬ trymen, who have afligned this as the reafon why he quitted Portugal. In conjunftion with Ruy Folero he formed the bold defign of difcovexing a new paffage by the weft to the Molucca iflands, which he offered to prove fell within the divifion of the globe afligned by the pope to the crown of Caftile. It is faid that he firft propofed this enter prize to Emanuel king of Per- tugal, who rejedled it, as opening a way for other na¬ tions to have accefs to the Eaft Indies, the trade -of which was now monopolized by the Portuguefe. The propofition was agreed to by the king of Spam, and on the 20th of September 1519 Magellan failed from San Lucar with five ftiips and 236 men under his command. His officers foon murmured at this appointment, confi- dering it as a difgrace to be commanded by a rene¬ gade Portuguefe; and when the fleet was lying at a port in South America which they named San Julian, a confpiracy was formed againft him by three of the captains, which he difeovered and quelled. He caufed the captain of one of the fliips to be affaflinated, he boarded a fecond, and fecured the mutineers, and the third fubmitted. The coaft on which they lay was that of Patagonia ; and this firft voyage contains accounts of the extraordi¬ nary ftature of the natives. About the end of Odlober they reached a cape, to which they gave the name of Dee las Virgines^ forming the entrance of the ftraits which bear the name of Magellan. He exerted all his authority to induce his men to venture on this unknown paffage, with the view of crofting a vaft ocean beyond it, at the hazard of running ftiort of provifions, of which a fupply for three months was all he had remaining. One of his fhips abandoned him, and made the beft of her way to Europe. The reft proceeded, and on the X x 27ih Maggi. M A. G Magellan of November they difcovered tlie South fea, which made Magellan Ihed tears of joy. They conti¬ nued their voyage over this ocean, now viftted for the firft time by Europeans, and were not long in fuffering thofe evils from famine which they had apprehended. The men were reduced to the neceflity of eating the hides with which the rigging was covered. The weather proved fo uniformly calm and temperate, that they gave to the ocean the name of Pacific. They came in fight of the Ladrones on the 6th of March, fo called from the thieviih difpofition of the inhabitants j and from thence they failed to the Philippines. At Zebu Magellan obtained with little difficulty the con- verfion of the king j and on condition of his becoming a vaffal of Spain, the Portuguefe affifted him in re¬ ducing fome neighbouring chieftains, and the crofs was erefted over fome burnt villages. With about 50 men Magellan landed upon Matan, whofe chief refufed to fubmit to Zebu, and an engage¬ ment between them lafted for the greater part of the day. His troops having Ipent all their ammunition, found it necefiary to retreat, during which Magellan rvas wounded in the leg by an arrow, beaten down, and at laft flain with a lance. This happened in 1521. By this a£t of imprudence he loft the honour of being the firft circumnavigator of the globe, which fell to the lot of Cano, who brought his ffiip home by the Eaft In¬ dies. Yet Magellan has fecured an immortal name among maritime difcoverers, by the commencement of this great enterprize, in which he difplayed extraordi¬ nary fkill and refolution, but difregarded juftice and humanity, then almoft univerfal among adventurers of this clafs. Straits of Magellan, a narrow paffage between the ifland of Terra del Fuego and the fouthern extremity of the continent of America. This paffage was firft difcovered by Ferdinand Magellan, who failed through it into the South fea, and from thence to the Eaft Indies. Other navigators have paffed the fame way •, but as thefe ftraits are exceedingly difficult, and fubjeift to florms, it has been common to fail by Cape Horn, rather than through the ftraits of Magellan. See Straits Le Mairk, and Terra del Fuego. MAGELLANIC CLOUDS, whitiftr appearances like elouds, 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 j but the other two are not many degrees more remote from it than the neareft confpicuous ftar, that is, about 11 degrees. Mr Boyle conjeftures, that. if thefe clouds were feen through a good telefcope, they would appear to be mul¬ titudes of fmall ftars, like the milky-way. MAGGI, Jerome, in Latin Magius, one of the moft learned men of the 16th century, rvas born at Anghiaxi in Tufcany. He applied himfelf to all the fciences, and even to the art of war ; and diftinguiffied himfelf fo much in this laft ftudy, that the Venetians fent him into the ifland of Cyprus in quality of judge of the admiralty. When the Turks beiieged Fama- gufta, he performed all the fervices that could be ex¬ pelled 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- 346 1 MAG 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 iEfop, Menippus, Epiftetus, and other learned men ; and, after palling the whole day in the meaneft drud¬ gery, he fpent the night in writing. He compofed, by the help of his memory alone, treatifes filled with quotations, which he dedicated to the Imperial and French ambaffadors. Thefe minifters, moved by com- paffion for this learned man, refolved to purchafe him } but while they were treating for his ranfom, Maggi found means to make his elcape, and to get to the Imperial ambaffador’s houfe j when the grand vifir be¬ ing enraged at his flight, and remembering the great milchief he had done the Turks during the fiege of Famagufta, fent to have him feized, and caufed him to be ftrangled in prifon in 1572. His principal works are, 1. A Treatife on the Bells of the Ancients. 2. On the Deftrudlion of the World by Fire. 3. Commen¬ taries on ./Emilius Probus’s Lives of Illuftrious Men. 4. Commentaries on the Inftitutes Thefe works are .written in elegant Latin. Fie alfo wrote a treatife on fortification in Italian j 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 gunffiot wounds : nor with Vincent Maggt, a native of Breffe, and a celebrated profeffor of humanity at Ferrara in Padua, who was the author of feveral works. MAGGOT, the common name of the fly-worm bred in fleffi, from the egg of the great blue fleffi fly. Notwithftanding the diftafte for this animal, its figure and ftru£ture of parts are greatly worth attending to $ and may ferve as a general hiftory of the clafs of worms produced from the eggs of flies. This animal is white and rielhy •, its body is compofed of a number of rings, like the bodies of caterpillars and other fimilar infe£ls ; and is Capable, at the pleafure of the animal, of affuming different 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 ffiort horns thruft out from the head ; but more generally two fcaly hooks are obfervable : thefe are, however, fometimes hid, and have each of them a cafe or ffieath j 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 j and they are th ckeft at their infertion in the head, and thence diminiffi gradually, till they terminate in a fine ffiarp point. Thefe two hooks are placed in a parallel direflion, 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 Mag-gi, Maggot. MAG [ 347 ] M A G a proper fize for the mouth of the creature* Befides thefe hooks the maggot has a kind of aart, which is about a third part of their length, and is_ placed at an equal diilance between them. This alfo is brown and fcaly like them ; it is quite ftraight, and terminates in a fine point. The hooks have as it were two fcaly thorns at their points; and this dart feems intended, by reiterated llrokes to divide, and break the pieces of delh thefe have feparated from the reft into fmaller parts. Immediately below7 the apertures for the egrefs of the hooks, is placed the mouth of the animal ; the creature does not fhow7 this little opening unlefs pref- fed : but if the preffure is properly managed it will fufficiently open it, and there may be difcovered with¬ 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 alio of legs j fince it is by faft- ening 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 low7ers itfelf by degrees as 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 are two fmall roundiih brown fpots: they are very eafily diftinguifhable by the naked eye, becaufe the reft of the body of the creature is w'hite ; but if we take in the afiiftance cif glafles, each of thefe fpots appears to be a browm circular eminence raifed a little above the reft of the body. On each of thefe fpots one may alio difcover three oblong oval cavities, fomething of the iliape of button holes; thefe are fitu- ated in a parallel direftion to one another, and their length nearly in a perpendicular diredtion to that of the body of the animal. Thefe apertures are fo many liigmata or air-holes ; openings deftined to admit the air necefiary 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 diftinguiftr that it has on each fide a large white veffel running the whole length of the body. It is eafy to follow7 the courfe of thefe veffels through their whole length, but they are moft diftincl 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 twro principal tracheae. The ramifications of the two great tracheae are very beautifully feen in this creature, efpecialiy on its belly ; and it is remarkable, that no veffel analogous to the great artery in the caterpillar clafs can be difcover¬ ed in thefe ; though, if there were any fuch, their great tranfparence muft needs make them very eafily diftin- guifiiable ; nor could its dilatations and contradlions, if fo confiderable as in that clafs of animals, be lefs fo. See Caterpillar, Entomoi.ogy Index. Malpighi imagined, that this artery in the caterpil¬ lar clafs w’as 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 fmail flefhy part, w7hich has al¬ ternate contractions and dilatations; and is not only difcoverable in the body by means of its tranfparence, but on making a proper fe&ion of them in the fecond, third, and fourth, will be thrown out of the body of Majjh the creature, and continue its beats for fome time af-; tenvards. MAGI, or Magians, an ancient religious feel 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 worftfipped God only by- fire ; which they looked upon as the brighteft and moll 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, w7ho maintained that there wras one fupreme independent 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 dilciples flrall go into a wrorld of their own, where they lhall be pu- nifiied in cverlafting darknefs ; and the angel of light and his difciples fiiall alfo go into a world ©t their own, rvhere they fhallbe rewarded in everlafting light. The priefts of the magi wrere the moil fkilful 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 knowdedge as fupernatural; and hence thofe who prac- tifed wicked and milchievous arts, taking upon them- felves the name of magians, drew on it that ill fig- nification which the word magician now bears among us. This fed ftill fubfifts in Perfia under the denomina¬ tion of gaursy where they watch the facred fire with the greateft care, and never luffer it to be extinguilh- ed. MAGIC, (Magia, Mxyux), in its ancient fenfe, the fcience or difeiphne and dodftrine of the magi, or wife men of Perfia. See Magi. The origin of magic and the magi is aferibed to Zoroafter. Salmafius derives the very name from Zo¬ roafter, who, he lays, was furnamed Mog, 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 things 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 effeds. 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 ftiould gain fo much credit and authority over men’s minds, Pliny gives the reafon of it. It is, fays he, X x 2 becaufe MAG [3 Magic, becaufe it has polTeffed itfelf of three fciences of the t”rr~”v moft eftcem among men : taking from each all that is great and marvellous in it. Nobody doubts but it had its firft origin in medicine ; 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 allro- logy with the reft ; perfuading people, curious of fu¬ turity, that it faw every thing to come in the heavens. Agrippa divides magic into three kinds j natural, ce- leftial, and ceremonial or fuperftitious. Natural Magic is no more than the application of natural aftive caufes to paftive fubjefts j by means whereof many furprifing, but yet natural, effefts are produced. In this way many of our experiments in natural philofophy, efpecially thofe of eleddricity, optics, and magnetifim, have a kind of magical appearance, and r.rnong the ignorant and credulous might eafily pafs 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- f See Stil- nity will fometimes allow f. Imgfiepfs Baptifta Porta has a treatife of natural magic, or of ^ncr^5 ^ecrets f°r performing very extraordinary things by na- hook ii. tural caufes. The natural magic of the Chaldeans c. 2. was nothing but the knowledge of the powders of fimples and minerals. The magic which they called theurgia, confifted wholly in the knowledge of the ce¬ remonies to be obferved in the worfhip of the gods, in order to be acceptable. By virtue of thefe ceremonies they believed they could converfe wdth fpiritual beings, and cure difeafes. Celejhal Magic borders nearly on judiciary aftrolo- gy : it attributes to fpirits a kind of rule or dominion over the planets, and to planets a dominion over men ; and on thofe principles builds a ridiculous kind of fy- flem. See Astrology. Superjhtious or Gaelic Magic confifts in the invoca¬ tion of devils. Its effects are ufually evil and wicked, though very ftrange, and feemingly furpafling the powers of nature } fuppofed to be produced by virtue of fome compaft, 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 effedts 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 hiftory were Egyptians; and that people fo famed for early wnfdom believed not only in the exiftence of daemons, the great agents in magic (fee DiEMON), but alfo that different orders of thofe fpirits prefided over the ele¬ ments of earth, air, fire, and water, as well as over the petfons and affairs of men. Hence they afcribed every difeafe with which they vvere afflidted to the immedi¬ ate agency of fome evil daemon. When any perfon was feized with a fever, for inltance, they did not think it neceffary to fearch for any natural caufe of the dif¬ eafe : it was immediately attributed to fome daemon which had taken poffeffion of the body of the patient, ] M A G and which could not to be ejected but by charms and in- Magic, cantations. ' * — y ^ 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 every difeafe to which they were incident to the immediate agency of devils (fee Possession). Many of the fame impious fuperftitions were brought from Egypt and Chaldea by Pythagoras, and tranfmitted by him and his followers to the Platonifts in Greece. This is apparent from the writers of the life of Pythagoras. Jamblicus, fpeaking of the followers of that philofopher, fays ex- prefsly, that they cured certain difeafes by incantations j and Porphyry adds, that they cured difeafes both of the mind and of the body by fongs and incantations. This w;as exa&ly the pra&ice of the Egyptian priefts, who were all fuppofed to keep up a conftant inter- courfe with daemons, and to have the power of con- trouling them by magical charms and facred fongs. Agreeably to this practice of his mafters, 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 incantations, partly by magical hymns, and partly by mujic.—ym 4/vXetf ^2 vorovvlxs 7TCC(>i(Av6i[lo TOVS f45V iTTW^oas KC/A (AOtyitmii ravy Js That there are different orders of created fpirits, whether called daemons or angels, whofe powers in- telle61ual and adlive greatly furpafs the powers of man, reafon makes probable, and revelation certain. Now it was the univerfal belief of the ancient nations, fays the learned Moftieim *, and efpecially of the orientals, * See his that certain founds and words, for the moft part bar- edition of barous, were highly grateful, and that others viere^'f^,0^ st equally difagreeable, to thefe fpirits. Hence, wrhen Sy^em, ^ they wiftied 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 5 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 perfuafion arofe the cuftom of fufpending from the neck of a fick. per¬ fon, whofe difeafe was fuppofed to be inflidled 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 didadfic poem on the healing art ftill extant, we are taught by Serenus Sammonicus, that the word Abracadabra is an infallible remedy for a femitertian fever or ague 5 and to banilh grief of heart, Marcel/inus thinks nothing more effedtual than the word x.x^ioiyKuv. In more modern times, as we are informed by Agrippa, the words ufed by thofe in com- padl with the devil, to invoke him, and to fucceed in what they undertake, are, Dies, mies, jefquet, benedoe- fet, douvima, enitemaus. There are a hundred other formulas of words compofed at pleafure, or gathered from feveral different languages, or patched from the Hebrew or formed in imitation of it. And among the primitive Chriftians there was a fuperftitious cu¬ ftom, of which we fufpedl fome remains may yet be found among the illiterate vulgar in different countries. MAG Magic, of faftening to the neck of a fick perfon, or to the bed —v on which he lay, fome text from the New Teftament, and elpecially the firfl two or three verfes of the gofpel of St John, as a charm undoubtedly efficacious to baniffi the difeafe. That magicians who could thus cure the fick, wTere likewife believed to have the powxr of inffidting dif- eafes, and of working miracles, by means of their fub- fervient daemons, need not be doubted. Ancient writ¬ es of good credit are full of the wonders which they performed. We {hall mention a few of thofe which are beft attefied, and inquire uffiether they might not have been effe&ed by other means than the interpofition of daemons. The firft magicians of whom wre read are thofe who in Egypt oppofed Mofes. And we are told, that, when Aaron cad down his rod, and it became a fer- pent, they alfo did the like with their enchantments j “ for they caft dowm every man his rod, and they be¬ came ferpents.” This was a phenomenon which, it muft be confeffed, had a very miraculous appearance ; and yet there feems to have been nothing in it which might not have been effedfed 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 mifehief, fo that they may be handled without danger. It was eafy for the magi¬ cians, who wrere favoured by the court, to pretend that they changed their rods into ferpents, by dexterouf- ly fubftituting one of thofe animals in place of the rod. In like manner they might pretend to change water into blood, and to produce frogs ; for if Mofes gave in thefe inflances, as we know he did in others, any previous information of the nature of the miracles which were to be wrought, the magicians might eafi- 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 flopped where that of all workers in legerdemain muft have ftopt—at the failure of proper materials to work with. Egypt abounds with ferpents ; blood could be eafily procured j and without difficulty they might have frogs from the ri¬ ver : But when Mofes produced lice from the duft of the ground, the magicians, who had it not in their power to col1e6l a fufficient quantity of thefe animals, were compelled to own this to be an effedl 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 ffiall confider. It was a common pre¬ tence of magicians, that they could raife up ghofts from below, or make dead perfons appear unto them to declare future events; and the manner of their incanta¬ tion is thus deferibed by Horace : Pallor utrafque Fecerat horrendas afpedlu. 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 M A G With a black lamb’s thick-ftreaming gore, Whofe members with their teeth they tore j That they might charm the fprights to tell Some curious anecdotes trom hell.” FrAxcis. Whether the witch of Endor made ufe of fuch infer¬ nal charms as thefe, the {acred hiftorian has not in¬ formed us; but Saul addrefled her, as if he believed that by fome form of incantation flie could recal from the (late of departed fpirits the foul of the prophet who had been for fome time dead. In the fubfequent apparition, however, which was produced, fome have thought there was nothing more than a trick, by which a cunning woman impofed upon Saul’s credulity, making him believe that fome confidant of her own was the ghoit of Samuel. But had that been the cafe, (lie would undoubtedly have made the pretend¬ ed Samuel’s anfwer as pleafing to the king as poffible, 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, flie durit not have told him, that he himfelf ffiould be ffiortly {lain, and his fons with him } and that the hoft of Ifrael ffiould be delivered into the hands of the Philiflines. For this reafon many critics, both Jewiffi and Chriftian, have fuppofed that the ap¬ parition was really a daemon or evil angel, by whofe affiftance the woman ivas accuflomed to work wonders, and to foretel future events. But it is furely very- incredible, that one of the apoftate fpirits of hell Ihould have upbraided Saul for applying to a forcerefs, or flrould have accofied him in fuch words as thefe: ‘4 Why haft thou difquieted me, to bring me up ? Wherefore doft thou afk 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 obeyedll 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 very 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 ftiould think, by common prudence, either to chicane wuth the enemy, or to retire from the field without expofing himfelf, his fons, and the wffiole army, to certain and inevitable deftrmflion ; and his a£ling differently, with the confequences of his conduft, wrere events which no limited underftanding could either forefee or certainly foretel. If to thefe circumftances wre add the fuddennefs of Samuel’s ap¬ pearance, wdth the effedl which it had upon the for- cerefs herfelf, we ffiall find reafon to believe, that the apparition wTas that of no evil daemon. There is not, we believe, upon record, another inftance of any per- fon’s C 349 1 mag [ 350 ] mag Magic, fon’s pretending to raife a gboft from below, without ' previoufly uling 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 the narrative, that the apparition was not what the woman expeded ; for we are told, that “ when (he faw Samuel, (lie cried out for fear.” And when the king exhorted her not to be afraid, and afked what (he faw, “ the woman faid, I fee gods (elohirri) afcending out of the earth.” Now, had (he been accuftomed to -do fuch feats, and known that what (lie 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 whicli that word can be taken. We are therefore flrongly 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 dmmons, but, to her utter confufion, and the difgrace of her art, fent by God to rebuke Saul’s madnefs in a mod afte&ing and mor¬ tifying wTay, and to deter all others from ever ap¬ plying to magicians or daemons for affiftance when re- fufed comfort from heaven. For though this hypo- thefis may to a fuperficial thinker feem to tranfgrefs the rule of Horace—Nec deus interfile See.—wdiich is as applicable to the interpretation of feripture, as to the introduftion of fupernatural agency in human com- pofitions $ yet he wdio has (ludied the theocratical con- ftitution of Ifrael, the nature of the oflice wThich was there termed regal, and by wdrat means the admi- niftration was in emergencies condudfed, will have a different opinion 5 and at once perceive the dignus viti- dice nodus. The hidden and wmnderful deftrudfion 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 tem¬ ple of Apollo at Delphi, with a viewT to plunder it of the facred treafure. Their numbers and courage over¬ powered all oppolition j and they were juft upon the point of making themfelves mailers of the place, when, Judin informs us, that, to encourage the bedeged, the prieds and prophetefs “ adveniffe deum cla?nant; eum- que fe vidiffe dedlientem in templum per culminis a- perta fadigia. Dum omnes opem dei fuppficiter im- plorant, juvenem fupra humanum modum indgnis pulchritudinis, comitefque ei duas armatas virgines, ex propinquis duabus Diance Minervaeque aedibus oc- curriffe, nec oculis tantum hcec fe perfpexiffe j audiffe etiam dridorem arcus, ac drepitum armorum : pro- Magic, inde ne cunftarentur, diis antefignanis, hodem caedere, ——v—— et victorias deorum focios fe adjungere,” fuminis obfe- crationibus monebant. Quibus vocibus incenfi, omnes certatim in praelium prodliunt. Praefentiam Dei et ipd datim fenfere : nam et terrae motu portio mentis abrupta Gallorum dravit exercitum, et confertidimi cunei non dne vulneribus hodium didipati ruebant. Inlecuta deinde tempedas ed, quse grandme et frigore faucios ex vulneribus abfumpdt (a). This was unquedionably an extraordinary event : and it mud be aferibed either to the immediate inter- podtion of the Supreme Being, to natural means, or to the agency of dsemons : there is no other alterna¬ tive. But it is altogether incredible that the Supreme Being fhould have miraculoufly interpofed to defend the temple of a pagan divinity. It is very difficult to fuppofe that an earthquake, produced in the ordinary courfe of nature, (hould have been foretold by the. prieds, or that it could have happened fo opportunely for the prefervation of their treafure from the hands of fierce barbarians. Nothing, therefore, it has been faid, remains, but either to allows the earthquake to have been produced by evil fpirits, or to deny the truth of the hidorian’s relation. But the catadrophe of Brennus’s army is recorded in the fame manner by fo many ancient waiters of good credit, that we can¬ not call in quedion their veracity j and therefore, be¬ ing unwdlling td admit the agency of daemons into this affair, it wdll be incumbent on us to (how by what human contrivance it might have been effected ; for its arrival at fo critical a juncture will not eafily differ us to fuppofe it a mere natural event. “ The inclination of a Pagan pried (fays Bldicp Warburton f) to affid his god in extremity, will | y?liian hardly be quedioned j and the inclination of thofe at1 ^ Delphi was not ill feconded by their public manage¬ ment and addrefs. On the fird rumour of Brennus’s march againd them, they iffued orders, as from the oracle, to all the region round, forbidding the coun¬ try people to fecret or bear away their wine and pro- vilions. The effedls of this order fucceeded to their expe&ations. The half-darved barbarians finding, on their arrival in Phocis, fo great a plenty of all things, made (hort marches, difperfed themfelves over the country, and revelled in the abundance that w'as pro¬ vided for them. This refpite gave time to the friends and allies of the god to come to his affidance. Their advantages of dtuation 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 fides wdth precipices indead “ (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 whild they were all humbly imploring his help, a youth of more than human beauty, accompanied by tw'o virgins in armour, bad run to their affidance from the neighbouring temples of Diana and Minerva j and that they had not only beheld thefe things with their eyes, but bad alfo heard the whizzing of his bowr and the clangor of his arms. They therefore earnedly exhorted the befieged not to negletff the heavenly fignal, but to (ally out upon their enemies, and partake with the divinities of the glory of the vic¬ tory.” With thefe words the foldiers being animated, eagerly ruffied to battle : and were themfelves quickly fenhble of the prefence of the god 5 for part of the rock being torn away by an earthquake, rolled down upon tho Gains ; whofe thicked battalions being thus thrown into confufion, fied, expofed to the weapons of their enemies. Soon afterwards a temped arofe, which by cold and the fall of hailftones cut off the wounded. 2 MAG r 35 inftead of walls. A large recefs within affumed the form of a theatre 5 fo that the ftiouts of foldiers, and the founds of military inftruments, re-echoing from rock 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 effe&s on ig¬ norant and barbarous minds. The playing off theie panic terrors was not indeed of itfelf fufficient to re- pulfe and diffipate an 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, m the exp/ojion and fall of that portion of the rock at the foot of which the,, greater part of the army lay en¬ camped. “ Among the caverns in the facred rock, there was one which, from an intoxicating quality difcovered in the iteam which iffued from it, was rendered very famous by being fitted to the recipient of the prieftefs of Apollo (b). Now, if we only fuppofe this, or any other of the vapours emitted from the numerous fif- fures, to be endowed with that un&uous, or otherwife inflammatory quality, which modern experience fhows to be common in mines and fubterraneous places, we can eafily conceive how the priells of the temple might, without the agency of daemons, be able to work the wonders which hiftory fpeaks of as effefted in this tranfa&ion. 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 rarefying and dilating the air, wmuld, like fired gunpowder, blowT up all before it. That the priefts, the guardians of the rock, could be long ig¬ norant of fuch a quality, or that they would divulge it w’hen difcovered, 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. Nowq whe¬ ther the tapers which Onomarchus and his companions were obliged to ufe while they w7ere 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 (land them in ftead. Such then (prefumes the learned prelate) wTas the expe¬ dient (c) they employed to diflodge this neft of hornets, which had fettled at the foot of their facred rock $ for the ftorm of thunder, lightning, and hail, which fol¬ lowed, was the natural effetff of the violent concuflions given to the air by the explofion of the mine.” Two inftances more of the powder of ancient ma¬ gic we (hall juft mention, not becaufe there is any- Magic. i ] MAG thing particular or important in the fa Eman. Mofchopulus, a Greek author of no great antiquity, is the firll; 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 mathematician. However, he has left us fome rules for their conilru&ion. 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 mult not be fuppofed that thofe feven numbers were preferred to all the other without fome very good reafon : in effeft, it is becaufe their fquares, according to the fyfiem of Agrippa and his followers, are planetary. The fquare of 3, for in- ilance, belongs to Saturn j that of 4 to Jupiter ; that Magic of 5 to Mars ; that of 6 to the Sun ; that of 7 to Ve- Stluare- nus j that of 8 to Mercury ; and that of 9 to the' 'r"~* Moon. M. Bachet applied himfelf to the lludy of magic fquares, on the hint he had taken from the pla¬ netary Iquares of Agrippa, as being unacquainted with the work of Mofchopulus, which is only in manufcript 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 is uneven, for inftance 25, 49, &c. but he could not make any thing of thofe wffiofe root is even. Alter him came M. Frenicle, who took the fame fubjedl in hand. A certain great algebraift was of opinion, that whereas the 16 numbers which compofe the fquare might be difpofed 20922789888000 differ¬ ent ways in a natural fquare (as from the rules of com¬ bination it is certain they may), they could not be difpofed in a magic fquare above 16 different ways:; but M. Frenicle ffiowed, that they might be thus dif- poled 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 confidered : the magic fquare of 7, for inftance, being conftrufted, and its 49 cells till¬ 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 5 that is, if the whole bor¬ der or circumference of the fquare be taken away, there will remain a fquare whole root will be 5, and which will only confift of 25 cells. Nov,7 it is not at all furprifing 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 j fo that being mutilated each of two cells, and having loft two of their numbers, it may be well ex¬ pected, that their remainders will not any longer make the fame fum. But M. Frenicle would not be fatis* fied, unlefs when the circumference or border of the . magic fquare was taken away, and even any circum¬ ferences at pleafure, or, in fine, feveral circumferences at once, the remaining fquare was ftill magical-: which laft 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 fe¬ veral circumferences, ffiould be infeparable from the fquare j that is, that it ihould ceafe to be magical when they were removed, and yet continue magical after the removal of any of the reft. M. Frenicle, however, gives no general demonilration of his methods, and frequently feems to have no other guide but cbance. It is true, his book was not publilhed by himfelf, nor did it appear till after his death, viz. in 1693. In 1703, M. Poignard, canon of Bruilels, publiffi- 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. 1. Inftead of taking all the numbers that fill a fquare, for inftance the 36' fucceffive numbers, which would fill all the cells of a natural Iquare whofe fide is 6, he only takes as many fucceffive numbers as there are units in 1 MAG [35 Magic in the fide of the fquare, which, in this cafe, are fix ; Square. an(j thefe fix numbers alone he difpofes in fuch manner —v~—' 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 ways poffible, muft always make the fame fum, which M. Poignard calls repeated progreffion. 2. In- flead 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 lafl pro- greffions the magic muft neceffarily be different from what it was : in the fquares filled with numbers in geometrical progreffion, it confifts in this., that the products of all the ranks are equal •, and in the har¬ monical progreffion, the numbers of all the ranks con¬ 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 w^ay, 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 predeceffois on the lub- jecft having found the conftruftion of even ones by much the moft difficulty for which reafon M. de la Hire referves thofe for the laft. I his 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 y for inftance, being multiplied by the numbei of terms in the progreffion, the product is equal to the fum of all the terms. M. de la Hire propofes a general method for un- *even (quares, which has fome fimilitude with the theo¬ ry of compound motions, fo ufeful and fertile in.me¬ chanics. As that confifts in decompounding motions, and refolving them into others more Ample y lo does M. de la Hire’s method confift in refolving the .fquare that is to be conftrmfted into two fimple and primitive fquares. It muft be owmed, however, it is not quite jo eafy to conceive thefe two fimple and primitive fquaies in the compound or perfect fquare, as in an oblique mo¬ tion to imagine a parallel and perpendicular one. Suppofe a fquare of cells, whole root is uneven, foi irftance 7 y and that its 49 cells are to be filled magi¬ cally with numbers, for inftance the firft 7 y M. de la Hire, on the one fide, takes the firft 7 numbers, be¬ ginning with unity, and ending wfith the root 7 y and on the other j, and all its multiples to 49, exclu- fively y and as thefe only make fix numbei s, he adds o, which makes this an arithmetical progreffion of 7 terms as well as the other y o. 7. 14- 21 • 35* 42, This done, with the firft progreffion repeated, he fills the f|uare of the root 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 y and it is proper to obferve here, that thefe feven numbers may be ranged in 5040 different manners in the lame rank. The order in which they are placed in the firft hori¬ zontal rank, be it what it will, is that which dc>ei- mines ’heir order in all the reft. For the fecond bo- -rizontal rank, he places in its firft ceil, either the 5 y M A G third, the fourth, the fifth, or the fixth number, from the firft number of the firft rank y and after that writes the fix others in order as they follown 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 firft, 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 y the fecond horizontal rank may either commence with 3, with 4, with 5, or wfith 6 : but in this inftance it commences with 3 5 the third rank therefore muft com¬ mence with 5, the fourth wfith 7, the fifth with 2, the fixth with 4, and the feventh with 6. The commencement of the ranks which follow the firft being thus determined, the other numbers, as we have already oblerved, muft be written down in the or¬ der wherein they ftand in the firft, going on to 5, 6, and 7, • and returning to 1,2, &c. till every number in the firfFrank 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 twfice in the fame rank y and by confequence, that the feven numbers x, 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 differ¬ ent manners : and fince the firft rank may have 504® different arrangements, there are no lefs than 20,160 different manners of conftru&ing the magic fquare of feven numbers repeated. Magic Square. J The order of the numbers in the firft rank being de¬ termined y if in beginning with the fecond rank, the fecond number 2, or the laft number 7, ftiould be pitch¬ ed upon in one of thefe cafes, and repeated y and in the other cafe, the other diagonal would be falfe un- lefs the number repeated feven times Ihould happen to be 4 y for four times feven is equal to the fum of T, 2, 3, 4, 5, 6, 7: and in general, in every fquare confiding of an unequal number of terms, in arithme¬ tical progreffion, one of the diagonals W’ould be falfe according to thofe two conftruftions, unlefs the term always repeated in that diagonal were the middle term of the progreffipn. It is not, however, at all necef- fary to take the terms in an arithmetical progreffion y for, according to this method, one may conftru61 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 Y y 2 tw* Mag [3 Magic two conftru&ions 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 j which cafe be¬ ing abfolutely dilregarded when we computed that the fquare of 7 might have 20,160 different conftru&ions, it is evident that by taking that cafe in, it mull have vaftly more. 1 o begin the fecond rank with any other number befides the fecond and the laft, mufl not, however, be looked on as an univerfal rule : it holds good for the fquare of 7 j but if the fquare of 9, for inltance, were to be conitructed, and the fourth figure of the firlf horizontal rank were pitched on for the firft of the fecond, the confequence would be, that the fifth and eighth horizontal ranks would likewife commence w.th the lame number, which would therefore be re¬ peated three times in the fame vertical rank, and oc- cafion other repetitions in all the reft. The general rule, therefore, muft be conceived thus : Let the number in the firft rank pitched on, for the commence¬ ment of the fecond, have fuch an exponent of its quota; that is, let the order of its place be fuch, as that if an unit be taken from it, the remainder will not be any juft quota part of the root of the fquare ; that is, cannot divide it equally. If, for example, in the fquare of 7, the third number of the firft horizontal rank be pitched on for the firft of the fecond, fuch conftruc- tion will be juft j becaufe the exponent of the place of that number, viz. 3, fubtra&ing 1, that is, 2 can¬ not divide 7. Thus alfo might the fourth number of the fame firft rank be chofen, becaufe 4—1, viz. 3, cannot divide 7 j and, for the fame reafon, the fifth or fixth number might be taken : but in the fquare of 9, the fourth number of the firft rank muft not be ta¬ ken, becaufe 4—1, viz. 3, does divide 9. The rea¬ fon of this rule will appear very evidently, by confi- dering in what manner the returns of the fame num¬ bers do or do not happen, taking them always in the fame manner in any given feries. And hence it fol¬ lows, that the fewer divifions the root of any fquare to be conftrufted has, the more different manners of conffrudling it there are j and that the prime numbers, i. e. thofe which have no divifions, as 5, 7, 11, 13, &c. are thole whofe fquares will admit of the moft va¬ riations in proportion to their quantities. The fquares conftru&ed according to this method have fome particular properties not required in the problem ; for the numbers that compofe any rank pa¬ rallel to one of the two diagonals, are ranged in the fame order with the numbers that compofe the diago¬ nal to which they are parallel. And as any rank pa¬ rallel to a diagonal muft neceffarily be fhorter, and have fewer cells than the diagonal itfelf, by adding to it the correfpondent parallel, which has the number of cells by which the other falls Ihort of the diagonal, the numbers of thofe two parallels, placed as it were end to end, ftill follow the fame order with thofe of the diagonal: befides that their funs are likewife equal j fo that they are magical on another account. Inftead of the fquares which we Firjl Primitive. .All we have hitherto faid regards only the firft pri¬ mitive fquare, whofe numbers, in the "propofed ex¬ ample, were, 1, 2, 3, 4, 5, 6, 75 here ftill remains the fecond primitive, w’hofe num¬ bers are, o, 7, 14, 21, 28, 35, 42. M. de la Iffire proceeds in the fame manner here as in the former j and this may like¬ wife be conftrutfted in 20,160 different manners, as contain¬ ing the fame number of terms with the firft. Its conftrudlion being made, and of confequence all its ranks making the fame fum, it is evident, that if we bring the two into one, by adding together the num¬ bers of the two correfponding cells of the two fquares, that is, the two numbers of the firft of each, the two numbers of the fecond, of the third, &.c. and difpofe them in the 49 correfponding cells of a third fquare, it will likewife be magical in regard to its rank, formed by the addition of equal fums to equal fums, which muft of neceftlty be equal among themfelves. All that re¬ mains in doubt is, whether or no, by the addition of the correfponding cells of the two firft fquares, all the cells of the third will be filled in fuch manner, as that each not only contains one of the numbers of the progreflion from 1 to 49, but alfo that this num¬ ber be different from any of the reft, which is the end and defign of the whole operation. As to this it muft be obferved, that if in the con- ftrudftion of the fecond primitive fquare care has been taken, in the commencement of the fecond horizontal rank, to obferve an order with regard to the firft, diffe¬ rent from what was obferved in the conftruction of the firft fquare j for inflance, if the fecond rank of the firft fquare began with the third term of the firft rank, and the fecond rank of the fecond fquare commence with the fourth of the firft rank, as in the example it a&ually does j each number of the firft fquare may be combined once, and only once, by addition with all the numbers of the fecond. And as the numbers of the firft are here 1, 2, 3, 4, 5, 6, 7, and thofe of the fecond, O, 7, 14, 21, 28, 35, 42; by combining them in this manner we have all the numbers in the progreflion from 1 to 49, wuthout having any of them repeated 5 which is the perfethe two mod dillant extremities. Dr Gil¬ bert, wdiom we (hall mention more at large hereafter, made his magnets of a fpherical fhape, fo as to refera¬ ble the terredrial globe. Magnets of this diape are called terrellce, or little earths, and have ufually mark¬ ed upon their furface the magnetic poles, meridian, and equator. r3 Natural magnets of an oblong (hape have ufually a Armature piece of foft iron attached to each pole, called the co«-of magnets. duElor', and another piece of foft iron placed fo as to join two of the extremities of the former pieces, and ufually furnidied with a hook or hole in the middle. The magnet thus fitted up, as reprefented at fig. 1. is Plate faid to be armed, and the iron pieces CD, CD, are cal- Aii* led the armature of the magnet AB. The magnet with its armature is commonly inclofed in a brafs box, reprefented in the figure by the dotted lines DC, CC, CD ; and to the upper part of the box is fixed a ring E, for holding the magnet. One of the mod common forms of the artificial mag¬ net is that of an oblong bar, as NS, fig. 2. of which N is the north pole, and S the fouth, having the north end marked with a tranfverfe notch. Thefe bars are made of hardened deel, and are either fold feparately, or what is more common, in fets of fix in a box. Another very common form of the artificial magnet is MAGNETISM. Chap. IT, T4 . Magnetic needle. Experimcn-is tliat of a liorfe fiioe, lucli .tS fig. 3 tal Uluftra poles N, S, brought near each other, and commonly Uons. unlted by a piece of foft iron or condu&or. The horfe- fhoe magnets fometimes confilh only of a fingle crooked bar ; but they are frequently compofed of feveral fuch bars united together by their flat furfaces, and inclofed in a leathern covering that envelopes all but the poles, and thus preferves the bars from rufting. Inftead of the very arched form of which horfe-flioe magnets are ufually made, they are fometimes conftruft- ed fo as to form nearly a femicircle, and in this ihape thev are very convenient for feveral experiments. Artificial magnets, like the natural, when of an ob¬ long ihape, are fometimes armed at each end, fo as to enable them to apply both poles to a ferruginous body at the fame time. One material advantage of the horfe- flioe magnet is, that in it fuch an armature is unnecef- lary, as the poles are brought fo near each other as ea- fily to be applied to the objetl it is propofed to lift, as a key, &c. A magnetic needle is an obkmg piece of fteel, tem¬ pered fo as commonly to aflume the blue tinge that is feen in watch-fprings, and fupported on a brafs point, lb as, when left at liberty, to arrange itfelf in the mag¬ netic meridian, but in a horizontal pofition. Thcfe needles are fometimes made pointed at both extremi¬ ties ; fometiines the northern extremity is made in the form of a crofs ; but perhaps the bell form is that of the oblong, with extremities that are nearly obtufe, fuch as is reprefented at fig. 4. To balance the needle on its pivot, it is furniflied near its middle with a hollow cap, which is formed of fome fubftance that is not attra&ed by the magnet. The cap is ufually of brafs *, but for nice experiments it is fometimes made of agate, as this latter does not wear fo faft as brafs, and confequerftly the needle will longer retain its original fufpenfion. The dipping needle, fig. 5. confifts of an oblong bar of Heel, A B, balanced between two horizontal flips of brafs, CD, CD, fo as when magnetifed to form an angle with the horizon, equal to the dipping of the needle at the place where the inftrument is made. The two horizontal flips of brafs ate either fixed to a gra¬ duated femicircle that is fupported on a ft and of wood, or more commonly they form diameters to a brafs ring which is graduated on its circumference, and furnifhed with a ring H, by which it may be held on tnc linger. The conftruflion and ufes of thefe inftruments will be fully explained in the next chapter; our only, object here being to bring the reader acquainted with the •names and general form of the inftruments that are made ufe of in the experiments which we are about to deferibe, for illuftrating the principles of magnetifm. Several fmaller articles will be required by the expe- rirocntalift : but thefe are eafily procured, and need no particular defeription. Such are a number of fewitig needles of various fizes, foft iron bars, pieces of iron wire, fmall iron balls, iron filings, occ. Chap. II. Experimental Illujlrations of the Principles of Magnetifm. Sect. I. Of Magnetical'Polarity. We have dated (N° 3.) that wheh a magnet is fuf- MAGNETISM. At having the two pended at perfeft freedom, it affumes a certain determi- I-ypennicn »5 Dipping needle. nate pofition with refpefl to the aftronomical meridian.tl- ra This is but a particular cafe of a much more general fa£t, which may be expreffed by the following propofi- tion. . 16 \i an oblong piece of iron be fo adjufled, a r to be libertij to take any pojition ; it will afj'ume a certain de aa(|cter_ terminate direction with rejpeci to the axis of the earth, min^te po~ differing according to the place where the experiment is fitioix made. Experiment 1 .—Take a moderately fized ftraight iron rod, as a piece of iron wire about the thicknefs of a goofe quill, and about eight or ten inches long ; pafs it through one extremiry of a large wine cork, fo that it may be at right angles to the axis of the cork, and ad- juft it in fuch a manner that it may fwim in water in a horizontal pofition. Now, provide a pretty large earthen veflel, as a hand bafon or round deep dilh, nearly filled with water ; and when the water is free from agitation, cautioufly put in the wire, in fuch a di¬ rection as not to be very far from the north and fouth line. The iron rod will, after fome time, be found to have arranged itfelf fo as, in Britain, to form an angle with the meridian of about 25 degrees. \ This experiment requires fome nicety, and it will fometimes be long before the iron aflumes its proper po- fition ; but if due attention be paid to all the particu¬ lars above mentioned, it will at length arrange itfelf in the magnetic line. It is neceffary that the rod ftiould be placed not too far from the magnet'c line, as if it be laid at right angles to that line, it will never acquire the proper direction. The fituation of the rod in this experiment is in the true magnetic line, fo far as re- fpe£ts the meridian \ but, as it is horizontal, it is not in the pofition that a magnet would afiume, if freely fuf- pended by its centre of gravity. An iron rod may, however, be made to take fuch a pofition, as well as a magnet. F.xper. 2.—-Inftead of pafiing the iron rod through the extremity of a cylindrical or conical piece of cork, let it be paffed through the centre of a fpherical piece of cork or wood, fo that the centre of gravity may coincide with the centre of the fpbere, and let the whole be of fuch a fpecific gravity as to remain fufpend- ed in any part of the water, without afeending or def- cending. If the iron rod thus fitted be placed as in the laft experiment, it will at length arrange itfelf in the true magnetic direflion, fo as to make an angle of about 25 degrees with the meridian, and with one ex¬ tremity depreffed below the horizon at an angle of a- bout 73 degrees. jy Thefe experiments were contrived by Dr Gilbert, Polarity of and fully ftiew that the property of affuming a determi-*ron tempo*’ nate direiflion with refpeft to the earth’s axis is not con-ralT' fined to magnets, or iron rendered magnetical by the ufual procefles. There is, however, a remarkable dif¬ ference between the polarity of unmagnetifed iron and that of natural and artificial magnets. It is of no con- fequence in the former which extremity be placed to¬ wards the north, or which below the furface of the wa¬ ter, as either will retain the pofition it firfl: acquired, unlefs difturbed by agitation, or by the proximity of a magnet; and both extremities may eafily be made to change fituations. The effect produced on the iron is therefore temporary. But if a magnetic needle be Z z 2 freely 564 Experimen¬ tal Illuitra- tions. xS Of magnet; permanent. peclinat’on varies. freely fufpended, the fame extremity always points to¬ wards the north, and this northern extremity always dips below the horizon, at lead: in thefe northern lati¬ tudes j and if the polition of the needle be didurbed by mechanical motion,- or by the application of a magnet, it will be refumed when the didurbing caufe is removed. 1 he polarity of magnets therefore is permanent. We have faid that the magnetic line varies at differ¬ ent times, and in different places. The declination of the magnet is fo uncertain as to impofe great impedi¬ ments to the art of navigation, as it is neceffary, in the courfe of a long voyage, frequently to afeertain the de¬ gree of variation for any particular time or place. The method of doing this is mentioned under Compass. The declination obferved in different places at different times, has been laid down in tables j and as fuch tables are very ufeful, we (hall here fubioin one, given by Mr Cavallo. J MAGNETISM. Chap. II. Latitude. North. 70° 17' 69 38 66 36 6i 43 63 ' 58 59 39 58 14 55 12 53 37 50 8 48 44 40 41 33 45 31 8 28 .30 23 54 20 30 J9 45 16 37 15 25 x3 32 12 21 11 51 8 55 6 29 4 3 2 1 o o 23 45 40 H 5i 7 South. 1 2 !3 48 37 22 Longitude. Wred. 163° 24' 164 11 i67 55 !7o 34 165 48 149 8 !39 19 135 o J34 53 4 4° 5 o 11 10 J4 50 IS 3° 17 o 18 20 20 3 20 39 22 50 23 36 23 45 23 54 24 5 22 50 20 5 21 2 22 34 24 10 26 2 27 10 27 o 28 58 29 37 30 M 30 29 31 40 Declination, Ead. 30° 2l' 31 o 27 50 27 58 26 25 22 54 24 40 23 29 20 32 Wed. 20 36 22 38 22 27 l8 7 17 43 14 o 15 4 T4 35 13 11 10 33 J5 25 48 8 19 8 58 44 1 8 27 7 42 35 59 4 27 12 52 54 26 Tears in which the olfervations were made. I779 1778 1776 Latitude. South. 6° o' 6 45 7 50 8 43 9 1 10 4 12 40 *3 23 14 11 *5 33 16 12 18 30 20 8 21 37 24 17 26 47 28 19 3° 2 5 33 43 35 37 38 52 40 36 42 4 44 52 46 M 48 41 Longitude. Wred. 3 2° 5°' 33 30 34 20 34 20 34 5° 34 49 34 49 34 49 34 49 34 4° 35 20 35 5° 36 1 36 9 36 8 34 27 32 20 26 28 16 30 9 30 23 20 Ead. J73 34 167 32 i55 47 J44 5° 69 10 Declination. Tears in which the obfervations were made. Wed. o° 6' Ead. ° 35 Wed. o 7 o 15 Ead. O 44 Weft, o 38 Eaft. 1 12 9 J5 4 2 26 24 24 44 58 2 37 Weft. 4 44 5 51 22 12 Eaft. !3 47 ^ J7 Weft. 9 28 14 48 27 39 [776 Experimen¬ tal Illultra- tions. It is of dill more importance to know the progref- five change of the declination at any certain place, and we diall therefore give here the following table of the declination as obferved at London in different years, from 1576 to 1800. Tears. 1576 1580 1612 1622 1633 1634 1656 1665 1666 1672 Declination. Eaft. 110 15' 11 10 o 6 11 6 6 4 4 5 Weft, o o 1 22^ 1 35i 2 30 Obfervers. Burrowes. Gunter. Gellibrand. Bond. Gellibrand. Halley. Chap. II. MAGNETISM. 3^5 Years. 1683 1692 1700 1717 I723 1748 1760 1765 1770 1773 1775 1780 1785 1787 1790 1795 1800 1802 1805 Decimation. Weft. 4 3° 10 42 14 17 17 40 19 12 20 o 20 35 21 9 21 30 22 10 22 50 23 19 23 3+ 23 57 24 7 24 6 24 8 Obfervers. Graham. Heberden. Gilpin. Gilpin. Gilpin. From 1792 to 1794 2i° 54; Stationary 101798 - 22 17 1799 - 22 o 1800 - 22 12 1801 - 22 1 1802 - 21 45 1803 - 21 59 1804 - 22 10 At Jamaica 1805 - 6 30 E. Experimen¬ tal Illuftra- tions. ' J At Alexandria in Egypt, In 1761 1798 l - x3 At Cairo, I 2° 12 W. w. From this laft table it appears that when the declin¬ ation was firft obferved, the north pole of the magnetic needle declined to the eaftvvard of the meridian oi Lon¬ don, that fince that time it advanced continually to¬ wards the weft till 1657, when the needle pointed due north and fouth, and that ever fince it has continually declined more and more towards the weft, in which di- redilion it appears to be ftill advancing. At Paris, in different years, the declination has been obferved as follows : 101761 - 12- 25 1798 The declination of the magnetic needle has been found to be different, even at different hours of the day. • The following table contains the refult of fome observa¬ tions made by Mr Canton on the daily variation, and, on the mean variation of each month. The declination obferved at different hours of the fame day. June 27. 1759. H. Min. In 1550 1640 1660 1681 1759 1760 8° o' Eaft. 3 ° o o 2 2 Weft. 18 IO 18 20 cZ I O 6 8 9 10 11 o 1 3 7 I 9 111 18 4 3° 2 20 40 50 38 10 20 12 40 Decl. W. I 2° 18 18 18 18 19 19 19 19 18 J9 18 2 58 55 54 57 4 9 8 8 59 6 5i Degrees of the Therm. 62“ 62 65 67 69 68^ 7° 70 68 61 59 57i The me ah Variation each Month in Year. January, 7' February, 8 March, April, May, June, July, Auguft, September, Oclober, Nobember, December, II I 2 13 13 13 1 2 II IO for the g// 52 I? 26' o 21 14 19 43 36 9 58 Table of the Mean Monthly Variation of the Magnetic Needle for 20 Years at London *. Years. January. February. March. April. 1786 I787i23 19-2 J788|23 25.6 1789: - 179023 38.9 1791 1792 1793 1794 1795 1796 1797 1798 1799 1800 1801 1802 1803 1804 18051 23 35-6 23 41.1 23 46.923 23 54-2 23 i9- 48-3 23 20.3 23 48.8 23 18 *5 May. 57-5 1.1 i-5 0.6 1.1 3-6 5 6.9 8.0 9.4 8.7 36.0 46.2 23 17.0 23 23 41.9 47 June. 18.3 28.9 34-2 * Phil, Tranf. — , 1806. July. Auguft. Septemb. j October Novemb. Decemb. p. 416. . 23 48.5 23 23 24 23 24 24 24 24 24 24 24 57-' 58.7 0.2 594 0.6 1.8 2.8 5 7.0 6.0 7.8 23 23 23 23 23 23 23 23 24 24 24 24 24 24 24 24 24 19623 29.8 39 0 21.9 23 50-5 23 54-4 57*1 59-2 °*3 0.0 1 3-° 4.1 6.0 7-9 8.4 7.8 23 16.4'23 18.4 23 22.8 23 24.5 23 32.1 23 57-2 43-623 43.9 48.623 52.6 23 24 24 24 24 24 24 24 24 24 24 24 58.1 0.4 0.1 1.4 1.4 2.9 3-6 3-8 8.7 io-5 8.9 10.0 23 '1-3 23 25.0 45.6 52.3 23 18.3 23 25.8 23 4i-2 23 45 9,23 45-2 23 5‘-9 23 52.3 59- 1. 1 . 1 2 3 5 6.8 10 9.0L 9.4 Charts s 366 M A G N r.xpenmen- Charts Irave been conftru£led for ftiewing the decli- nation of the needle in various parts of the earth by means of curve lines. Refpefting thefe charts and feveral other circumifances with regard to this fubjeft, fee Varia¬ tion of the CoTTipafs. It may not be improper here to point cut the ge¬ neral method of applying the polarity of the magnet to the ufeful purpofes of navigation, mining, &c. A mariner’s compafs, or magnetic needle in a cafe, is fo placed as to be as little as poffible didurbed by the motion of the veiTel, perfon, &c. In a fliip, it is pla¬ ced in the binnacle (fee Binnacle), or fufpended from the upper deck in the cabin. Then the head of the veflel is kept by the helm in fuch a direftion as to make any required angle with the line of the needle, or the perfon (in mining or travelling) advances in a fimilar manner. Thus, fuppoling that a veffel fets out from a certain part, in order to go to another place that is exadlly weftward of the former ; as for example, from the Land’s End in Cornwall to Newfoundland on 'the coaft of North America. The veifel mull be direc¬ ted in fuch a way, as that its courfe may be always at .right angles with the direftion of the magnetic needle, or fo that the part of the needle or compafs card, which points to the northward, (allowing for the varia¬ tion) may be always kept to the right hand of the man at the helm, or to the (larboard fide of the veffel. The reafon of this is evident; for, fuppofing the needle to point duly north and fouth, the diredion of eafi: and weft being perpendicular to it, this muft be the true courfe of the veffel. From this example, a little re- fledion well ealily point out how a veffel rtay be fleered 20 in any other courfe (a.) Polarity dif- 7 he declination of the magnetic needle is diflurbed by nirbed by the near approach of a ferruginous body, efpecially if this be of conjiderable fi%e. On holding the extremity of a pretty large iron rod, fuch as a poker, near one end of a magnetic needle pro¬ perly fufpended, the needle will be found to turn con- i fiderably from its ufual diredion. This circumftance, though proper to be mentioned here, will be better un- derftood when we have confidered the attradive power of the magnet. The fad is ufeful, as it teaches us to keep magnetic needles in fuch a fituation as not to be aded on by any confiderable body of iron. A magnet, whether natural or artificial, has a great- the ap¬ proach of iron. E T I S M. chap. II. er effed in difturbing the polarity of a magnetic needle Experimen- than is produced by iron. tal Illuftra- Magnetic polarity feems alfo to be affeded by. ^ changes jn the ftate of the atmofphere ; and the follow- ing axioms refpeding this effed on the declination of the needle, colleded by M. la Cotte, are deferving of attention. 1. The greateft declination of the needle from the north towards the weft, takes place about two in the afternoon-; and the greateft approximation of it towards the north, about eight in the morning ; fo that from the laft mentioned hour till about two in the afternoon, it endeavours to remove from the north, and between two in the afternoon and the next morning, to ap- proach it. 2. The annual progrefs of the magnetic needle is as follows :—Between January and March, it removes from the north ; between March and May it approach¬ es it ; in June it is ftationary ; in July it removes from it; in Auguft, September, and Odober it approaches it ; its declination in Odfober is the fame as in May ; in November and December it removes from the north ; its greateft weftern declination is at the vernal equinox, and its greateft approximation to the north, at the autumnal equinox. 3. The declination of the magnetic needle is differ¬ ent, according to the latitude ; among us, (i. e. in France) it has always increafed fince 1657; before that period it was eafterly. 4. Before volcanic eruptions and earthquakes, the magnetic needle is often fubjed to very extraordinary movements. 5. The magnetic needle is agitated before and af¬ ter the appearance of the northern lights : its declina¬ tion on thefe occafions is about noon greater than ufual. So much has already been faid refpeding the pheno- 21 mena, &c. of the dipping needle, under the article Dipping Needle, that it is unneceffary here to add much more on the fubjed. It was there noticed, that at the equator the dipping needle lies quite horizontal, and that one of its extremities inclines more towards the earth, according as the inftrument is carried farther from the equator. We may here add, that from fome late obfervations made by experimentalifts with bal¬ loons, it appears that the higher we afeend above the furface (a) In-reply to fome inquiries refpeding the mode of employing the compafs in mining, wre were favoured by tin ingenious friend, who is manager of one of the moft extenfive coalworks in this illand, with the following re¬ marks: “ The compafs is ufed in all mines wdiere great accuracy is required. In fome coal-mines the cleats or faces of the coal are the guides to the miners in excavating the mine, and the compafs is ufed to afeertain the fi- ' tuation and extent of the excavations. In other coal mines the courfes of the excavaiions are at firft direded by the compafs. In doing this, the compafs is placed in a given fituation, and is made to point the defired courfe,. Then from the centre of one fight $ perpendicular line is conveyed to the roof of the mine, and a fmall mark is there made with chalk; then a perfon loiks at a candle (placed fo as nearly to touch the roof), through the lowrer part of the fight of the compafs neareft to him, and through the upper part of the oppofite fight. The candle at the roof is moved in any diredion until he fees it through both fights of the compafs. It is then in a proper place, and a chalk mark is made in the roof immediately above it. A line (truck with a chalked cord, between thefe two marks upon the roof, marks the proper courfe, by which the workmen are direded in making the excavation. By applying one part of a chalked cord along part of the courfe or white line thus begun on the roof, and ex¬ tending the other part of the cord paft it to any required diftance, and then ftriking the cord, the courfe may be -continued from time to time as the excavation advances.” 2 Chap. IT. M A G N Experimen- furface of the eartfi, tlie lefs is the angle of inclination ta! Illuftra- whiC1a the dipping needle makes with the horizontal line*.. It is worthy of remark that, under the fame circum- ftances, the declination of the needle was not found dif¬ ferent from what it would have been on the earth at the fame place, and its polarity with refpedl to iron was unchanged. tions. * Niche If. four. 8vo. xi. p. 54. E T I S M. 3^7 In an aeroftatic voyage made at St Peterfburgh in Expenmen' 1804 by M. M. Sacharof and Robertfon, it was ferved that the fouth pole of a magnetic needle, balan- y v 1 ced on a pin, dipped below the horizon nearly 10 de¬ grees. ' The following table fhows the magnetic dip as ob- ferved at feveral different places at various times. Latitude. North. 53° 55' 49 36 44 5 38 53 34 57 29 18 24 24 20 47 *5 8 1 2 10 Longitude. AT. Pole below the Horizon. Eaft. 193° 39 233 10 Weft. 8 10 12 1 14 8 16 7 18 11 19 36 23 38 23 35 22 52 20 10 69° 10' 72 29 71 34 7° 3° 66 12 62 17 59 ° 56 15 51 ° 48 26 44 12 37 25 Years of Obfervation. 1778 1776 Latitude. South. o° 3' 4 40 3 25 16 45 19 28 21 / 8 35 55 41 5 45 . 47 Prince of Wales’s Wand. Longitude. N.Polebe/ow' the Horizon. 270 38' 3° 34 33 21 34 24 Eaft. 208 12 204 11 185 o 18 20 *74 *3 166 18 Years of Obfervation. 3°° 3' 22 1; *7 57 9 *5 S. Pole below. 29 28 41 o 39 1 45 37 63 49 70 5 ? 10 1777 *774 1777 *773 *799 Table of the Magnetic Dip at London, from 1786 to 1805.* Poles Reverfed. __A 1786 September October November December 1787 January February March April May June July Auguft: September Odfober November «. December 1788 January 1789 January December 1790 January 1791 January 1795 Oftober *797 O&ober 1798 April Odftober 1799 Oftober j8oi Apiil 1803 Odfober 1805 Auguft Face eaft. 72 72 72 72 72 72 72 72 72 72 72 72 72 72 72 72 72 72 72 72 71 7* 7* 7* 70 70 70 70 70 28.7 29>9 7.6 10.6 11.4 *9,4 *9,* 24.4 24,4 22.6 22.6 22,3 22.3 23.1 23,* 22.8 22,8 l6,0 ? 7,5 16,9 43 <9 12,8 4,9 4.7 55.6 c6,o 47.4 3°-9 25.2 I Face weft. 72 7* 72 72 72 72 72 72 72 72 72 72 72 72 72 72 72 72 7* 7* 7* 7* 7* 7* 7* 7* 7* 7* 70 *,4 59,o 17.6 2,2 *,8 10.8 n,9 9.5 9.6 7,9 7.9 6.7 6.7 2,5 2.5 2,0 2,0 0,0 594 57.7 36.1 9.5 10.9 *4,5 *4,5 *3,5 5.6 9.9 55.7 Face eaft. 7* 72 72 72 72 72 72 72 72 72 7* 72 72 72 72 7* 7* 7* 7* 7* 70 7* 7* 7* 70 57,3 0,4 2,4 2.2 1,0 *»5 o,5 o,5 4.2 4,2 59,9 72 59,3 72 2,9 2,9 2,7 2,7 2,6 5*,9 38,9 40.2 37.2 *3,9 56.3 2,3 7>7 **,5 52.4 70 40,5 70 26,9 Face weft. 72 72 7* 7* 5,* 1,2 46,7 58,4 7* j6,o 7* 55,8 7* 7* 7* 7*- 7* 7* 7* 7* 7* 7* 7* 7* 7* 7* 7* 7* 70 70 70 70 69 69 69 52,2 52.2 52.9 52,9 55,* 554 5*,o 5*,° 50.3 50,3 48.8 31.1 42.8 40.2 *7,5 9,4 44.7 19.8 22.2 7.9 38.2 46,7 36.3 True dip. 72 72 72 72 72 72 72 72 72 72 72 72 72 72 72 72 72 7* 7* 7* 7* 7* 70 70 70 70 70 70 70 8,1 7.6 3.6 3.4 2.5 6.9 5.9 6.6 7.8 6.8 6.4 5.9 5.7 4.9 4.7 4.4 4,0 54,8 54.6 53.7 23.7 1 *,4 59,2 5?,4 55,o 5 2,2 35,6 32,0 21,0 3f p/,//. Tranf 1 Sod. p. 41c. To 368 M A G N Experimen- To wliat vras fa id under Dipping "Needle, refpedling tai liluftra-condruflion of that inftrument, we may add, that, ^ ^ notwithftanding the great improvements that have been lately made in the arts, the making of a dipping nee¬ dle is one of the mod delicate and difficult talks that an inftrument-maker can undertake. The needle mull be made of tempered fteel which we are certain has no magnetifm before it is touched j it muft be poifed lo nicely, and with fuch a perfeft coincidence of its cen¬ tre of gravity and axis of motion, that it will retain any poiition (before being magnetifed) that is given it A good dipping needle cannot be had below twenty gui¬ neas. . Sect. II. On Magnetic Aitraciion and Repuljion. A magnet A magnet attracts iron, and all bodies, into the com- ' attracts pojition of which iron enters in any confiderable degree. iron and all prjncjp]e is illullrated by very fimple experiments, bodies. which will readily occur to every reader. It is of con- lequence here to obferve, that the purer and fofter the iron to which the magnet is prefented, the ftronger will be the attraction ; thus, a magnet attracts a piece of foft and clean iron much more ftrongly than it attraCls any other ferruginous body of the lame lhape and weight. Hard Heel, or the harder ores of iron, are lefs forcibly attracted than loft Heel, and (till lefs than foft iron ; and all pieces of iron are lefs forcibly attraCt- n.2 ed in proportion as they are more oxygenated. Attraction The aUraCtive power of a mK^net is not equally greatert at ftrong on eVery part of its furface. It is molt powerful u P° e=- at. tije p0jes 0f the magnet, and it is found to liminilh in proportion as the part of the furface is more diltant from the poles. Thus, in an oblong magnet, the at¬ traction is leait at about its middle, where it is often 23 very trifling. Method of jp js property 0f the magnet that we are en- poleTo/r ab*ed to difeover the poles of a magnet, where they are magnet. n°t yet afeertained ; a circumftance which is often ne- ceffary with refpeCt to natural magnets, in which, when of an irregular lhape, it would othervvife be diffi¬ cult to difeover the poles. The ufual method of afeer- taining the poles of a magnetic body is, to prefent va¬ rious parts of the body to be examined, fucceffively to the poles of a magnetic needle, when it will foon be difeovered which parts of the body have moft influence •on the needle, by the pole of the latter Handing per¬ pendicularly to that part of the body. It will prefently apnear, that in this way it may alfo be afeertained which of thefe poles is the north, and which the fouth, as the fouth pole of the body under examination will have mod influence on the north pole of the needle, and vice verfa. A good magnet Ihould have no more than two poles, and thefe ihould be fituated in the extreme furface of the magnet; but it fometimes happens, efpecially in na¬ tural magnets, and in artificial magnetic bars, if they be very long, that there are more than two poles, or that the poles are very confufed. For example, in a very long magnetifed bar, there may be a itrong north pole at one extremity, a fouth pole a little farther on, then a weaker north pole, and fo on to the extremity, which will be found poiTeffed of a Hill weaker fouth po¬ larity. Thefe poles are to be difeovered by prefenting to the feveral parts of the bar one or other of the poles % E T I S M. Chap. II. of a magnetic needle; for, as we lhall immediately Expmmen- mention, each pole of the needle will be attra&e.l to- tal Itiuftra- wards that part of the rod which is poiieffed of the con- , ^ trary polarity. The attractive power of the magnet and the iron is molt forcible when the two bodies are in contaCf, and it diminiflies as they are made to recede from each other. The exaCI law according to which this diminu¬ tion takes place, has not yet been completely aicertain- ed. We ihall fee in the next chapter, what approxi¬ mation has been made to it. 24 A magnet is not capable of lifting above a certain Different weight of iron ; and all magnets of the fame form and at:tra(ffive fize are not able to lift the fame weight. Among the natural magnets the fmalleft feem in general to poffefs 0 a greater attraCfive power in proportion to their fize, than thofe of larger dimenfions. Mr Cavallo mentions a fmall magnet that weighed not more than 6 or 7 grains, and was capable of lifting about 300 grains ; and Sir Ifaac Newton poiTeffed a magnet that he wore in a ring, weighing but about 3 grains, which is faid to have lift¬ ed 746 grains, or nearly 250 times its own weight. The larger natural magnets are very weak in proportion to thefe. Thofe of two pounds fcarcely lift more than ten times their own weight. It feems extraordinary, that a piece cut oil from a large magnet is fometimes much ftronger in refpeCI of its attractive power, than the magnet from which it was taken. It has been laid that the attractive power of magnets is greatelt at their poles. Both poles, however, are feldom equal in this refpect; and it appears, that in thefe northern parts of the world, the north pole of magnets is more powerful than the fouth. In the fouth- ern hemifphere the contrary effeCt is faid to take place. The attractive power of the magnet is moil forcible when both poles are made to act conjointly; hence an armed magnet, or one of the horfe-ffioe form, is belt adapted for experiments- on the force of magnetic at¬ traction. It is of little confequence whether the iron that is prefented to the magnet be in one piece, or confift of feveral pieces. The attraction is indeed ftronger in the former cafe ; but if feveral pieces of iron are prefented to the magnet, they will either all adhere about the pole of the magnet, or will adhere to each other, fo as to form a fort of chain. If a fmall iron ball be made to adhere to the pole of a magnet, this ball will fupport a fecond ; and this latter, if the magnet be pretty ftrong, w’ill fupport a third. It the magnet be of the horfe fhoe form, and have thefe three balls hanging by one ball, if two others be fufpended from the other pole, all the five may be made to adhere, fo as to form a curved chain. It will be evident, that pieces of iron which prefent a greater extent of furface than the above fpherical balls, will be more powerfully attraded. One of the moft: pleafing experiments on the attrac-ACtion of a tion of the magnet for iron, is (hewn by means of iron P3aS5l®f: on 0 iron filings-. filings. Exper.—Let a paper be placed above a bar magnet, and let iron filings be fhaken on the paper through a gaufe fieve. They will arrange themfelves round the magnet in a very beautiful manner, forming curves and arches of curves, as reprefented in fig. 6. At the two ends of the magnet, as a a, there are chains of filings Handing out nearly perpendicular; and along the fides they 25 26 Chap. IT. Experimen- they form complete 27 . Attradlion between the magnet and iron mutual. curves tal Il'uftra- from the magnet towards its middle, and having their extremities bounded by the poles of the magnet; and at the corners there are a number of arches that feem to form imperfedl curves. A fimilar effeft may be produced by firewing iron filings on a piece of paper, fo as to leave a vacancy in the middle, capable of receiving a bar magnet. When the magnet is placed on the paper, and the paper gently tapped, lo as to agitate the filings, thefe wall arrange themfelves about the magnet, in curves, as above de- feribed. b The form of thefe curves will be better defined if the magnet be laid at the bottom of an earthen or glafs vef- fel of water, and the iron filings be fitted over it fo as to pafs through the wrater. The attraSHon between a magnet and a ferruginous body is mutual. Exfier.—Place a piece of iron or other ferruginous body upon a piece of cork or wTood, fo that it may float on the furface of w7ater in an earthen or wrooden veffel. Bring a magnet within a moderate diftance of the float¬ ing bodv, and the latter will approach the former, and may be drawn by it in any direction. Again, place the magnet on cork or wood, fo as to float on the wa¬ ter, and prefent to it a piece of iron, or other ferrugi¬ nous body. The magnet wdll now approach the iron, and may be drawm by it as the iron was before. Laft- ly, Place both the magnet and the iron on feparate pieces of wTood or cork, within a moderate diftance of each other, on the furface of the water. They will gradually approach each other, with a Velocity that becomes greater in proportion as they approach neaxer each other. Magnetic attrablion is not fenjibly impeded by the rn- terpo/ition of bodies of any kind, 'that do not contain iron not fenfibly in their compofition. kflened by Exper.—Suppofe that a magnet, placed at the dif- iitioiToT^0- tance an from a P’ece ‘rOT1’ exerts a certain lKxbes°not degree of attraftion, it will be found that the attraftion ferruginous, is not fenfibly weakened by the interpofition of a plate of glafs, a ftieet of paper, a piece of copper, or any other fimilar fubftance. A needle, inclofed in a glafs 29 globe, will be ftill attracted by the magnet. Ufual mode It is not eafy to afeertain correftly the degree of at- ofmeafur- tractive force exerted between a magnet and a ferrugi- ing die at- nous body. The ufual method of obferving this is, to faften a magnet to one arm of a balance, and placing the body to be attracted at different diftances below the magnet, to counterpoife the attraction with weights placed in the oppofite fcale of the balance. Proceeding in this way, then, if w7e find that it requires the weight of an ounce to counterpoife the attractive pow'er of a magnet, w’hen prefented immediately to a piece of iron, it will be found that it requires the fame counterpoife, if a plate of any matter that is not ferruginous be in- terpofed. Not only is iron attracted by the magnet, but under certain circumflances, one piece of iron exerts an attrac¬ tive power on another piece of iron. Exper.—Let an oblong piece of iron be fixed in a fpherical piece of wood or cork, fo as to float in water in the true magnetic line, as in Exper. 2. of N“ 16. When the iron is nearly in the magnetical pofition, Vol. XII. Part I. MAGNETISM. . . bending outwards aw7ay bring the extremity of a large iron rod, as the point i t it* • • ('a* . .. 4. tai ii mm a- 2S Magnetic attraction tradlive force. 3° Iron at¬ tracts iron in certain iituations. a new poker, holding it in a pofition not very differentta from that of the iron wire, within about a quarter o! . 1 an inch of the upper extremity of the floating iron, and hold it there for fome time, a little towards one fide. The floating wire will gradually approach the iron rod with an accelerated motion, will at length touch it, and may be drawn through the water in any direction. A fimilar attraction will take place between the head of the poker and the extremity of the wire that is below the water. 31 The attractive power of the magnet is increafed by the Magnetic near approach of a piece of iron. increafed Exper. 1—Suppofe we have a magnetic bar that isky iron. capable of fupporting a fmall key by one of its extremi¬ ties, but which wall not lift a key fomewhat larger. If we bring a confiderable oblong piece of iron near the oppofite extremity of the bar, it wall be found ca¬ pable of fupporting the larger key, or at leaft of lifting a W'eight fomewhat greater than it fuftained be¬ fore. Exper. 2.—Let an oblong magnetic bar be fupported in a horizontal pofition, and let a piece of iron ware, about an inch in length, be hung by a Ihort thread, fo that its extremity is juft oppofite one of the poles of the magnetic bar, but fo far out of the reach of the bar’s attractive power as not to be brought from the perpen¬ dicular. Now, if a confiderable iron bar be brought with one end within a moderate diftance of the oppohte pole of the magnet, the fufpended wire will be drawn towards the magnet, thus (hewing that the powTer of the latter has been increafed by the juxtapofition of the bar of iron. If the bar of iron be brought ftill nearer the oppofite pole of the magnet, the fufpended wire will be drawn ftill nearer its adjacent pole $ but if the bar of iron be drawn back from the magnet, the wire wdll fall into its original pofition. This fad leads to many important praClical conciu- fions in the management of magnets. As the juxta¬ pofition of iron to the poles of a magnet improves its powers, we may infer, that if we keep a piece of foft iron in contaCl with the poles, the magnet will be im¬ proved by it and this is in fad the cafe, and it (hews the utility of the armature and conduClor mentioned in N® 13. But of this more hereafter. ^ The attraBive power of a magnet may be improved by power of a increafng the weight appended to it. magnet in- This is beft ftiown by a horfe-ftioe magnet, having acrea^dby conduClor of foft iron attached to its two poles, and a le brafs ring at the convex part by which it may be fuf- it. 0 pended. If a fmall bag be hung to the conduClor, and if the magnet is capable of containing a certain weight at any particular time, it will, by adding a little more, fuppofe a few7 (hot, to the bag, at moderate intervals, be made to fupport gradually a much greater weight. If the magnet, on a firft trial, was able to lift a fmall key, it w7ill foon be able to lift a larger one, &c. How far this increafe of pow7er may be carried, has not, we believe, yet been afeertained. It fometimes happens tfyat a magnet does not (hewr any great attraClive power, as exemplified in its power of lifting a confiderable weight of iron, though it may have a great effeCl in exciting or in altering magnetic polarity. This was obferved by Dr Gilbert, who re- 3 A marks MAGNETISM. 33 Contrary- poles of magnets at- tracl each •other. ig poles repel each ether. 37° Expenni h-marks that the dire&me power of a magnet extends taj Iliuftra- farf}ier than its attraciive power. tions. ^ * i .. ^’ , The contrary poles, of two magnets attraB each other ; that is, the north the fouth, and vice verfa. Exper. i.—Place two oblong magnets on cork or wood, fo as to float in water, or fufpend each by a pretty long thread, with the north pole of the one op- pofed to the fouth pole of the other. They will gra¬ dually approach, and will at length ruflr together. A fimilar effedl will be produced, if the north pole of a bar magnet be held near the fouth pole of a mag¬ netic needle •, the latter will be attracted, and the fame thing will happen if the fouth pole of the bar is brought near the north pole of the needle. Exper. 2.—Take two femicircular magnets, and dip their extremities into iron filings. The filings will of Courfe adhere to the extremities of the magnets, and will appear as if radiating from them. Now, prefent the two magnets with their adhering filings to each other, fo that the north and fouth pole of the one is oppofite to the contrary poles of the other, and the iron filings at their extremities will approach each other, and coalefce, as reprefented in fig. 7. The attraction exerted between two magnets is not fo ftrong in proportion, as between a magnet and a piece of foft iron in contacty but it has been found to 34 commence at a greater diftance. Correfpond- The correfponding poles of two magnets repel each other; that is, the north the north, and the fouth the fouth. Exper. 1.—Make the two magnets float on w^ater, or fufpend them by threads, fo that the north or fouth pole of the one may be oppofite to the north or fouth pole of the other. They will recede from each other, and the repuliion will evidently be greater, in propor¬ tion as they are brought nearer together. Exper. 2.—l ake two femicircular magnets, and dip their ends in iron filings, as mentioned above. Prefent them to each other, fo that their correfponding poles may be mutually oppofed. The filings at their extre¬ mities will Aart back, and leave a vacancy between the oppofed poles of the magnets, fomewhat like what is reprefented in fig. 8. It fometimes happens that the correfponding poles of two magnets do not repel each other, but either mu¬ tually attrad, or are quite indifferent. In this cafe, it will, in general, be found that one of them is ftronger than the other ; and the reafon of the phenomenon will appear hereafter. The repulfive power of a magnet is generally in a lefs proportion than its attradive power. It is by the attradive powrer of the magnet that we ufually afeertain whether any lubftance be magnetic ; that is, whether the magnet polfefs any attradive powTer for it. If the body contain any confiderable quantity of ir n in its compofition, its magnetifm is eafily afeer- tained, by approaching it with the pole of a pretty ftrong magnetic bar. If, however, the magnetifm is too feeble to be difeovered in this way, it may be af- certained by placing the body on a piece of cork or wood, fo that it may float on the furface of water or mercury, in an earthen or wooden veffel, and bringing the pole of the magnet within a fmall diflance of the floating body. It will fometimes be neceffary to bring 35 , Uiual mode •cf afeer- taining -whether a body is magnetic. Chap. II. the magnet within one-tenth of an inch of the body, Exprrimen- when, if it poflelfes any magnetifm, it will graduallyta^ approach the magnet. This experiment is theft fatis- tions' . fadfory when the body to be examined is made to float on mercury ; but in that cafe the vefiel containing the mercury mull not be too Imall, otherwife the natural convexity of the furface of the mercury will caufe the floating body perpetually to fall down towards the fides of the veflel. A common foup plate will anfwer the purpofe very well. It is alfo neceffary that the mer¬ cury be very pure, and as clean as poflible. To infure this, it will be proper, before ufing the mercury, to pafs it through a conical piece of writing paper, rolled up fo as to terminate in a very fmall aperture $ or what is better, to fqueeze it through a pretty thick piece of fhamois leather. It need fcarcely be remarked, that in thefe delicate experiments, the air of the room fliould be kept as Hill as poflible. By the above methods, Mr Cavallo and others dif¬ eovered, that the following fubftances are in fome mea- fure affefted by the magnet. Moft metallic ores, efpe- cially after their having been expofed to a fire; zinc, bifmuth, and particularly cobalt, as well as their ores, are almoft always attra£!ed. Of the earths, the calca¬ reous is the leaft, if at all, and the liliceous is the moft frequently, attracled. The ruby, the chryfolite and the tourmalin, are attrafled. The emerald, and parti¬ cularly the garnet, are not only attracted, but frequent¬ ly acquire a permanent polarity. The opal is weakly attracted, efpecially after combuftion. Molt animal and vegetable fubftances, after combuflion, are attract¬ ed. Even foot, and the duft which ufually falls upon whatever is left expofed to the atmofphere, are fenlibly attrafted by the magnet. “ It has long ago been remarked, that platina, nickel, Coulomb’s and feveral other bodies, acquire a fenfible degree of experiments magnetifm j but fome philofophers attribute this pro-on univer- perty only to a portion of iron not eafy to be feparated,^ai. magne* and conclude, that by obtaining a greater degree of purity, we might fucceed in rendering them perfectly indifterent to the aCtion of the magnetic bar. “ The new experiments which Citizen Coulomb has made and repeated before the inftitute, lead us on the contrary to think, that the aftion of magnetifm ex¬ tends through all nature ; for none of the bodies he has yet tried was found to refill this power. “ But howrever real this adlion may be, it is not alike in all bodies, and in moft of them it muft be ne- ceffarily very fmall, to have efcaped the attention of philofophers to this time. In order, therefore, to exhi¬ bit and to meafure thefe refults, we muft begin by pla¬ cing the bodies in a lituation which ftiall allow them to yield to the wTeakert aCtion. “ For this purpofe, Citizen Coulomb fafhioned his fubjeCls into the form of a cylinder or fmall bar ; and in this ftate he fufpended them to a lilken thread, fuch as is drawn from the filk worm’s cone, and in this ftate he placed them between the oppofite poles of two mag¬ netic bars of fteel. The fingle thread of filk could hardly bear the weight of a quarter of an ounce without breaking, c@nfequently it became neceffary to form fmall bars very light and thin. Citizen Coulomb made them about feven or eight millimetres in length (or lefs than half an inch), with three-fourths of a millimetre for Chap. II. M A G N Experimen-(or about an hundredth part of an inch) in thicknefs, tal Illuftra- an(j grave jhe metals about one-third of this thick- ■ tl0;s- .nefs. “ In his experiments he placed the fteel bars in the fame right line, their oppofite poles being five or fix millimetres farther afunder than the length of the needle intended to ofcillate between them. The refult of the experiment {hewed, that whatever might be the fubftance of the needle, it always difpofed itfelf accord¬ ing to the dire£Hon of the two bars •, and that if they were turned from this direction, they always recovered it, after ofcillations of which the number was often more than 30 per minute. It was therefore eafy in every cafe to determine, from the weight and figure of the needle, the force which had produced the ofcilla- tion. “ Thefe experiments were fuccefsfully made with fmall needles of gold, filver, copper, lead, tin, fmall cylinders of glafs, a piece of chalk, a fragment of bone, and different kinds of wood. “ Citizen Coulomb has proved, that the force of tor- fion of the filk thread is fo flight, that in order to draw it round the entire circle, it would require a force fcarcely equal to the one hundred thoufandth part of a gramm, (or about one feven hundredth part of a grain). A quantity fo minute cannot therefore fenfibly derange the meafure of magnetic force in the different bodies j and its effect, even ii it wrere admitted to be of percep¬ tible magnitude, may alfo be urged in proof of the ge¬ neral conclufion of Citizen Coulomb, becaufe the mag¬ netic power muft overcome this refiftance of the thread in order to manifeft itfelf. Our author gives, in the third volume of the Memoirs of Natural Philofophy and Mathematics of the National Inftitute, a very Ample formula to determine the magnetic force of a body from the time of its ofcillations *, and he means to fliew in another memoir, the method of determining this refult in different bodies of the fame figure placed between the poles of two bars. He thinks it now proved, that all the elements which enter into the compofition of our globe are fubjefted to the magnetic power, and that the whole mafs colle&ively forms’ one Angle magnet. “ Li favour of thofe who might be defirous of repeat¬ ing his experiments, and rendering them very fenfible, the author remarks, that the method of fucceeding con- fifis in diminifliing the fize of the ofciilating bodies. From fome effays, of which the refults terminate this memoir, it feems to follow, that the accelerating forces are inverfely as the maffes, or very nearly in the diredt proportion of the furfaces; but Citizen Coulomb gives this rule only as a firft dedudtion, which requires to be * Nichol confiTrnefl Journ. s'vo. ^ opinion of the general influence of magnetifm vol. ii. on all terreftrial bodies was, as we fliall fee hereafter, maintained by our countryman Dr Gilbert, though Coulomb has certainly the merit of having put it to the teft .of experiment. Entertain- Befides the experiments which we have related, there ing experi- are fome that depend on the attradlive power of the ments. magnet, and which are ranked among fcientific amufe- ments. We fliall here defcribe a few of thefe. Before we relate the manner of making thefe expe- riments, it may be proper to defcribe an inftrument that is employed in fome of them. This, fiona its form E T I S M. 57r and apparent ufe, is called the mag..e';'c perfpeilive E^rimen- glafs, and is thus conftnicled. tal li’uftra- Provide an ivory tube about 2 i inches long, and of, tl°ns' . fuch a form as is expreffed in fig. 9. The tides of this 3s tube mufl: be fo thin as to admit a confiderable quanti-Conftruc- ty of light. It is to open at one end with a fcrew, and t^on oftta at that end mutt be placed an eye-glafs of about two inches focus, and at the other end any glafs you pleafe.gi^pf Have a fmall magnetic needle like that in a compafs. & It mufl; be ftrongly touched, and fo placed at the bot¬ tom of the tube that it may turn freely round. It is to be fixed on the centre of a fmall ivory circle C, of the thicknefs of a counter, placed on the objed-giafs D, and painted black on the fide next it. This circle mufl be kept faft by a circular rim of pafteboard, that the needle may not rife off its pivot, in the fame man¬ ner as in the cornpafs. This tube will thus become a kind of compafs fufficiently tranfparent to ftiow the mo¬ tions of the needle. The eye-glafs ferves more clearly to diftinguiih the diredion of the needle, and the glafs at the other end, merely to give the tube the appear¬ ance of a common petfpedive glafs. It will appear, from what has been already ftated, that the needle in this tube, when placed over and at a fmall diflance from a magnet, or any machine in which, it is contain¬ ed, will neceffarily place itfelf in a pofition direded by that magnet, and confequently fliow where the north and fouth pole of it is placed ; the north end of the needle conftantly pointing to the fouth end of the mag¬ net. This effed will take place, though the magnet be enclofed in a’ cafe of wood, or even metal. You mufl: obferve, however, that the attrading magnet muft not be very far diftant from the needle, efpecially if it be fmall, as in that cafe its influence extends but to a ftiort diflance. This tube may be differently conftrud- ed, by placing the needle in a perpendicular diredion, on a fmall axis of iron, on which it muft turn quite freely, between two fmall plates of brafs placed on each fide of the tube ; the twa ends of the needle fliculd be in exad equilibrium. The north and fouth ends of the needle will, in like manner, be attraded by the fouth and north ends of the- magnetic bar. The former conftrudion, however, appears preferable, as it is more eafily excited, and the fituation of the needle much more eafily diflinguiflied. Exp. 1. TAe communicative 'Piece of Money. Jake a crown or dollar, and drill a hole in the fidecomiuni- ofit, in which place a piece of wire, or a large needle cative piece well polifhed, and ftrongly touched with a magnet.ofmoney* Then clofe the hole with a fmall piece of pewter, that it may not be perceived. Now, the needle in the mag¬ netic perfpedive before defcribed, when it is brought near to this piece of money, will fix itfelf in a diredion correfpo ; ding to the wire or needle in that piece. De¬ fire any perfon to lend you a crown piece or dollar, which you dexteroufly change for one that you have prepared as above. Then give the latter piece to ano¬ ther perfon, and leave him at liberty either to put it privately in a fnuff-box, or not ; he is then to place the box on a table, and you are to tell him by means of your glafs, whether the crown is or bs not in the box. Then bringing your perfpedive clofe to the box, you will know, by the motion of the needle, whether it be there or not 5 for as J,he needle in the pei'pedive will 3 A 2 always 372 M A G N SpiTiXr*alway-keep to tke nortl1 of itfelf’If y°u do not per- tions. Peive 11 has any motion* you conclude the crown is not 1—“v--—1 in the b°x' It may happen, however, that the wire in the crown may be placed to the north, in which cafe you will be deceived. .Therefore, to be fore of fuccefs, when you find the needle in the perfpeftive remain fta- tionary, you may, on fome pretence defire the perfon to move the box into another poiition, by which you will certainly know whether the crowm-piece be there or ™t: ^ You mull remember that the needle in the per- fpeillve muft here be very fenfible, as the wire in the crown cannot poffibly have any great attractive force. /[0 Exp. 2. The Magnetic Table. blnder the top of a common table place a magnet that turns on a pivot, and fix a board under it, that nothing may appear. There may alfo be a drawer under the table, which you pull out to fhew that there is nothing concealed. At one end of the table there mud be a pin that communicates with the magnet, and by which it may be placed in different pofitions ; this pin muft be fo placed as not to be vifible to the fpe£la- tors. Strew fome fteel filings or very fmall nails over that part of the table where the magnet is. Then alk any one to .1* nd you a knife or a key, which will then attraft 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 Ae magnet, and giving the key to any perfon, you defire him to make the ex¬ periment, which he will then not be able to perform. You then give the key to another perfon, at the fame tfme placing the magnet, by means of the pin, in the firft poiition, when that perfon will immediately perform the experiment. 4i Exp. 3. The hhjJlcrious Watch. Myfterxons You defire any one in company who has a watch atcdl' with a fteel balance, (b) to lend it you for a few mi¬ nutes, a Iking him whether it will continue to go when laid on the table. e 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 twxi different divifions of the bag ; and if their numbers, when added together, exceed 1 2, the needle or index will ftop at the number they exceed it; but if they do not amount to 1 2, the index will ftop at the fnm of thofe two numbers. In order to perform this experiment, you muft place the pin again!! the number 5, if the two numbers to be drawn from the bag be 10 and 7 5 or againft 9, if they be feven and two. If this experiment be made immediately after the former, as it eafily may, by dexteroufly moving the pin, it will appear the more extraordinary. Exp. 5. The Divining Circles. . On the top of a thin box, as AB fig. 13. pafte tivo DivmiU circles drawn on paper, as F, G, each of which is di-circles." vided into compartments. In thofe of one circle, as G, are written queftions, and in thofe of the other, as F, appropriate anfwers. Through the centre of the circle G an axle paffes, carrying a toothed wheel, and which works into the pinion d, to the axis of which is fixed another pinion, and this receives the teeth of another wheel g, whofe axis is paffed through the centre of the circle F. On the axis of the wheel c is to be fixed an index a above the paper circle, and to the axis of the wheel g juft below the cover of the box, is fixed a bar magnet q q, turning together with the axis 5 while on the part of the axis that proje&s above the circle F a loofe needle xx is balanced, fo as to move independent¬ ly of the axis. A carton of ftrong paper, of the lize of (b) The balance of a watch is Ihmetimes, though very feldom, made of brafs, when it is fcarcely fufceptible of magnetic influence. Chap II. M A G N Experimen-of F fliould cover the pafted circle, and turn eafily on tal Illuftra- the centre z j and it fhould have a triangular piece as , tir'ns' F cut cut, in order to fee the anfwers. If now the v needle be taken off its point, and a perfon be defired to alk feme of the queffiuns on the circle G, the index muff be turned to the queflion, and then the needle placed on its pivot, giving it a whirl round. When it flops, its point will fland over the proper anfwer, which may be feen by turning the open part of the car¬ ton to that place. Sect. III. Of the Communication Magnetifm. and Production 44 Iron be- netical by proximity to a mag¬ net. The whole of this important part of the fubjeft may be faid to depend on one general fact, which we fliall therefore firft lay down and illuflrate. udny piece of iron when in the neghbovrhood of a mag- comes mag- net iiflf a magnet, and poffelfes all the material pro- Tw ' . l 17 1 J. v perties oj that body. Ex. i. Let there be a large and ftrong magnet pro¬ perly fupported in the horizontal diredtion, at a diftance from iron or other fimilar bodies, and with its poles per- fedtly free. Take alfo any fmall piece of common iron, not more than two or three inches long, fuch as a com¬ mon fmall key, and take another piece of iron, as a fmaller key, or Ihort piece of wire about the fize of a goofe quill. In the firft place hold the key in a horizontal pofi- tion, with one end oppofite one of the poles of the mag¬ net, but fo as not to be in contadl with it. Then bring the other piece of iron to the other end of the key, and it will hang by the key, and will fo continue to hang, though we withdraw the key from the magnet horizon tally, till there is a certain interval between the key and the magnet, when the former will be no longer able to fupport the piece of iron. Even at this diftance the key will, however, be found capable of fuppovting a piece of iron confiderably fmaller than the former, till its diftance from the magnet be increafed. Again, hold the key with one extremity below one of the poles of the magnet, and touch the other extre¬ mity-with the fmall piece of iron, the latter will ad¬ here till the key be removed too far below the magnet. Thirdly, Hold the key with one of its extremities above one of the poles of the magnet, but at fuch a diftance that there is room for the fmall piece of iron to go between the key and the magnet, without touch¬ ing the latter. The piece of iron will be fupported by the key, as in the two former inftances. Fourthly, Let the magnet be placed in a vertical po- fition, and hold the key with one extremity immedi¬ ately below or above one of the poles. The piece of iron will be fupported in a fimilar manner, in the form¬ er cafe by the extremity of the key that ss moft remote from the magnet, and in the latter by that which is ad¬ jacent. If, inftead of approaching the magnet with the key, we reverfe the circumftances, the effedl of the magnet in rendering the key magnetical will be ftill more evi¬ dent. Suppofe the piece of iron to be lying on the table ; let one end of it be touched with the key, and there will be found ho attradlion between them : but if while we hold the key very near one extremity of the wire, we bring the pole of the magnet near the ether E T 1 S M. 373 end of the key, we ftiall fee the wire rife from the Expenmen- table, and adhere to the key. ta t:0 , ' In all thefe cafes the attractive power of the key, that is, its magnetifm, is evidently derived from its juxtapofition to the magnet. Exp 2. Let two pieces of iron wire be fufpended by feparate ends of a piece of thread, fo that they may be hung from a pin in the wall in a fituation parallel to each other, or in contact. Now bring one end of a bar magnet a little below the wires, and they will re¬ pel each other. If thefe wires are of foft iron, they will collapfe immediately on the magnet being with¬ drawn 5 but if they are formed of hard iron or of iteel, they ivill continue apart for a confiderable time. Here the two wires are, by the proximity of the magnet, become magnets, and the extremities next the bar have each acquired a fimilar polarity, i. e. both contrary to that of the adjacent pole of the bar. They, therefore, repel each ether. Exp. 3. Let a bar-magnet, fuch as N, S, fig. 14, be laid in a horizontal pofition, and let a fmall key, as B, C, be held near the north pole of the magnet, in the dire&ion of its axis. Let a very fmall magnetic needle, fupported on a fharp pivot, be brought near that end of the key C, which is moft remote from N. The needle will immediately turn its fouth pole towards C, as is indicated by the feathered part of the arrow c. Hence it appears that the key has acquired a diredive power like a magnet, and that its remote extremity performs the office of a north pole, as it attrads the fouth pole of the needle, and repels its north pole. If it be faid that the magnetic needle in this cafe is affed- ed diredly by the diredive power of the magnet, as it would take the above pofition though the key were not prefent ; to ihew that the effed is produced through the medium of the key, remove the needle into another fituation as /?, and it will ftill arrange itfelf with the fame pole oppofite C, and if it be carried to the prox¬ imate extremity of the key, as at a, it will turn round, and prefent its north pole to B, thus (hewing that it is, . at lead in iome meafure, influenced by the key. . ^ In general, when a piece of iron is prefented to the Nearelt end'- pole of a magnet, the extremity next that pole is pof- acquires a feffed of the contrary polarity, and the remote extremi- P0’ianty ty has acquired a fimilar polarity. The fituation the poles, however, depends much on the form of the adjacent piece of iron, and on the part of its furface which is pole of the prefented to the pole of the magnet. If the form be iaagnet- that of an oblong bar, one extremity of ivhich is pre¬ fented to the pole, which is the moft ufual cafe, the circumftanccs will be as we have juft mentioned. If the oblong bar be prefented to the pole in a perpendi¬ cular diredion, with its middle very near the pole of the magnet, tins middle point will be pofieffed of a po¬ larity contrary to that of the adjacent pole, while the twro extremities have acquired the fame polarity. It the prefented iron be in the form of a circular plate, . and its centre be held near the pole of the magnet, this centre will have the contrary polarity, and every point of the circumference the fame polarity. If the plate have its circumference faftiioned into points, each of thefe points wall acquire a very ftrong polarity, con¬ trary to that of the pole near which the centre of the plate is held. The communication of magnetic power from the mavnet "374- Experimen-magnet to the key in the foregoing experiments, will tai Illuftra- fljjj ftrongly illuftrated by holding another ■ "'^2' . piece of wire to the wire that is already fufpended by the key. The new piece of wire will alfo be fufpend¬ ed, and fo feveral more may be fufpended by one ano¬ ther, like the links of a chain, according to the ftrength of the magnet. This fa£l was known to the ancients, who fpeak of a loadllone caufing an iron ring to carry another ring ; and that a third, till the whole puts on 46 the appearance of a chain. Induced It will be found that the magnet has loft none of its magnetifm. p0wer by producing magnetifm in the iron, and of courfe, that nothing has been transferred from the magnet to the iron. The magnetifm of the iron thus caufed by its juxtapofition to a magnet is called induced 47 magnetifm, or magnetifm bij indued ion. Apparent There is an apparent exception to the umverfality of exception, propolition. If the key be held in fuch a pofiticn as that it ftiall be perpendicular to the magnet, •with one extremity either oppofite one of the poles, or a little above the centre of the magnet, the bit of wire v ivill not be attracted by that extremity, and we may hence fuppofe that the key has acquired no magnetic powrer by its proximity to the magnet. But if we‘bring a needle or a piece of iron wire near its remote end, it will be ftrongly attracted, and fhew that end to have the fame polarity with the neareft pole of the magnet. Now, the ends both of the key and the wire that are next the magnet, having the fame polarity with the pole of the magnet neareft them, cannot attraft each other, but on the contrary will repel each other, and there¬ fore the wire cannot adhere to the key, though by the change produced by the other extremity, it is evident 4S that the key has acquired magnetic power. Real ex- There is, however, one exception. If the key in the ception. fjj.fi- experiment, with the wdre hanging to it, be carried from any of the fituations there deferibed, tow-ards the middle of the magnet, the wire will fall oft' as foon as it arrives very near the middle. If we fuppofe a plane to pafs through the centre of the magnet in a direction perpendicular to its axis, fo as to form the magnetic equator, a fender piece of iron held any where within this plane can acquire no fenftble magnetifm, which is demonftrated by its (hewing nofigns of polarity, and not being attracted by the magnet. Now it is well known that the greateft aflivity of a magnet refides in its two poles, and that thofe magnets are the beft in which this aclivity is leaft diffufed. A certain circumference of every magnet is entirely inactive, as we fee in the experiment with the iron filings deferibed in N° 26. .where the filings collefl: themfelves principally on two points of the furface, between which there is a fpace all - round, to which no filings are attached. Many cir- cumftances fhew that the two poles of a magnet have .contrary eftions-, the north pole producing a ftrong northern polarity in the remote end of an iron bar brought near it, and a fouth polarity in the proximate end, while an oppofite effeft is produced by its fouth pole. Now, adopting this principle, that the aftiens of the two poles are oppefite, it follows that if thefe actions are equal, and a£t in a fimilar manner, each muft coun¬ teract and prevent the action of the other, and pro¬ duce what may be called a magnetic equilibrium. Therefore if a fender iron rod or thin plate be placed - fo- that every part of it lies within the magnetic equator, 1 Chap. II. it svill exhibit no magnetifm, will not be attracted by Experimen- the magnet, and will not attraft iron. This will betai Eluftra- feen more fatisfaftorily when we have explained the . L~ ^ . theory of magnetifm. The confideration of the above important fa£ts will enable us to explain, efpecially after what will be ftated in the next chapter, the production or communi¬ cation of magnetifm in all the methods by which thefe are ufually elfeCted. ■ 4^ Magnetifm may be produced artificially in a piece of^h^iat iron or feel, by various methods. magnetUm 1. By touching the iron or Jleel either with a natural ° ’ magnet, or with a feel bar already magnetized. By touch- The procefs of communicating magnetifm by na- ^ng with a tural or artificial magnets, or by what has been called ma£net‘ touching, has undergone various improvements and mo¬ difications, which we (hall endeavour briefly to trace. The moft fimple method of magnetizing a bar of old me- fteel is to apply the north pole of a magnet to that ex-thods. tremity of the bar which we wiih to acquire a fouth po¬ larity. In this way, merely by contadf, a flight degree of magnetic power will, after forae time, be imparted to the bar, and the communication will be expedited by ftriking the bar fo as to make it found. Only a flight degree of magnetifm can, however, be communicated in this way, and unlefs the fteel bar be very (hort, its poles will be much confufed. Another method ©f communicating magnetifm to a bar of this kind is, to apply the pole of a magnet to one end of the bar, and pafs it on to the other end, giving a moderate degree of preffure. This is repeated feveral times on both Aides of the bar, taking care always to begin the ftroke at the fame end as at firft, and inftead of drawing the magnet back along the bar, lifting it up every time that we come to the other end. The fol¬ lowing defeription wall beft explain the mode of com¬ municating magnetifm in this way, by one or two mag¬ netic bars. When only one magnetic bar is to be made ufe of, one of its poles muft be applied as reprefented fig. 15. where CD 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 applied 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 degree of raagnetifm. In this method, the 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 ufe of. To communicate magnetifm by means of two mag¬ netic bars, place the bar or needle AB, fig. 16. upon a table; then fet the two magnetic bars CD, EF, ftrdigbt upright upon it at a little diftance, equal on both fides from the middle of the bar AB, and in fuch a manner that the fouth pole D of one of the bars may be neareft to that end of the bar AB which is to be¬ come the north pole, &c. Thefe two bars muft then be Aid gradually towards one extremity of the bar, keeping them conflantly at the fame diftance from each other j and when one of them, for inftar.ee CD, is ar¬ rived M A G N E T I S M. Chap. II. Experimen-rived at A, then they muft be flid tne contrary way, tal Illuftra-£ip ;irnVes at B ; and thus the bar AB mud be . tlons- , rubbed a greater or fmaller number of times, till it v wiH be found by trial to have acquired a confiderable power. When the magnetic bars are powerful, and the bar AB of very good Heel, and not very large, a dozen of ftrok.es are fully fufHcient •, but when the bars are to be removed from the bar A.B, care muft be taken to bring them to the fame fituution where they were firft placed ; viz. a little and equal dittance frorn the middle of the bar AB, from which they may be lilted up. The mode of employing two bars inftead of one was an improvement, and the raetnod was ftill farther im¬ proved by placing them in an inclined poution, with their extremities C, E, remote from each otner, and Hiding them contraryways from the middle towards each extremity of the bar AB, lifting them up when they come to the extremities, and replacing them on the middle of the bar, thus repeating the operation as often as required. IVetu ‘ of Horfe-fhoe bars, or thofe of a femicircular form, may be Kuching magnetized in a fimilar manner, except that the mag- ci rved bars. j-,ar3 employed for the purpole muft follow the curvature of the bar to be impregnated. The follow¬ ing is the method ulually employed for magnetizing bars of this kind. The crooked bar is laid ftat upon a table, and to each of its extremities is applied a ftraight magnetic bar, as DF, EG, fag. 17. and the remote ex¬ tremities of thefe bars F, G, are joined by the conductor or piece of foft iron EG. Then to its middle are to be applied two magnetic bars, with their oupofite poles at a little diftance from each other, H, I, and with thefe the crooked bar is to be ftroked from end to end, fol¬ lowing the direftion of the crooked bar, fo that on one fide of it the magnetic bars may ftand in the dire&ion reprefented by the dotted lines at K and L. When in this manner the piece of fteel ABC has been rubbed a fufficient number of times on the one fide, it is to be turned, and the fame operation repeated on the other fide, taking care that the adhering magnetic bars, and the conduftor of foft iron, be preferved in the fame fituation as at firft. It muft be obferved that in this procels t^e magnets DF,DG, as well as the magnets H,I, muft be placed fo that their fouth poles (hall be towards that ex- S3 tremity of the bar which is to be made a north pole. Duhamel’s A material improvement in tne prcceis (or communi- improve- cating magnetil'm from artificial magnets to fteel bars, was introduced by Duhamel. He formed a right- angled parallelogram, two of the fides of which were made by two equal bars of fteel, that were intended to be magnetized, while the ether two were formed by joining the extremities of the fteel bars by two pieces oi foft iron, alfo equal to each other in length, but much (horter than the fteel bars. Then taking two parcels of bars already magnetized, he brought togetner their op- pefite poles towards the middle of one of the fteel bars forming the parallelogram, and inclining the parcels as in fig. 18. he made them glide gently, feparating them from each other towards the extremities of the bar j and this operation was repeated as often as required, when the inclined parcels of magnetic bars were car¬ ried to the oppofite bars of the parallelogram, and this was rubbed in a fimilar manner. After the bars were 375 rubbed fufficient]y on one fide, they were, as in xomer Exp^iraen- cafes, turned on the other. U1 t;0^s_5®r This method is one of the beft that we can employ u—< for magnetizing the needles of compafles, and iuch fteel bars as are of a moderate thinnefs, efpeciaily it we employ magnetic bars ftrongly impregnated for the pnr- pofe of rubbing the fteel bars. Much about the time that M. Duhamel contrived the above method, the fame object was employing thementby attention of experimental philofophers in England, Mitchell where the procefs of magnetizing bars was much im-anc^anton’ proved by Mr Mitchell and Mr Canton. Mr Mitchell employed two parcels of bars already ftrongly magnetized, joined together in a parallel di- redlion, with their oppofite poles united at each extre¬ mity, but in fuch a manner, that there remained be¬ tween the two parcels a fmall interval. He then placed a number of equal fteel bars in a ftraight line, and made one extremity of the magnetized bars Hide over the line formed by the fteel bars at right angles j and this he repeated as ufual. In this way he found that the intermediate bars in the ftraight line ac¬ quired a great degree of magnetic power. Mr Canton placed the bar which he wiftied to mag¬ netize, fo as to form part of a parallelogram, as in the method of M. Duhamel, and then employed the fame means as Mr Mitchell for impregnating the bar, after which he feparated the two parcels oi magnets, and in¬ clining them to each other in the manner of Duhamel upon the bar, he made them Hide from the needle to¬ wards the extremities. This laft method confiderably augmented, according to Mr Canton, the magnetic power of the bar ; but by Coulomb it is confidered as the only effcclual part of the procefs. Thefe methods of Mitchell and Canton conftitute what has been called the double touch, which was ftill farther improved by the celebrated Aipinus. c „ This philofopher, after having formed a parallelo- Method of gram with fteel bars, and pieces of foft iron, in the man-iEpinus. ner of Duhamel, placed upon the bar to be magne¬ tized, two parcels of magnetic bars inclined in fuch a way that each of them formed on its own fide an angle of 150 or 20° with the fteel bar on which it was placed j their oppofite poles being at a very fmall diftance from one another. Keeping the parcels of magnetic bars in the fame relative lituation with refpeeft to each other, he made both parcels Hide along alternately from the middle of the bar towards each extremity, beginning at every renewal of the dperation from the middle 01“ the bar. This method has a very great advantage over the former, as by it we may magnetize bars of confiderable length and thicknefs, by means of magnetic bars that have no great magnetic power. In all thefe proceffes it muft be remarked, that, in 5° order to proceed properly, it is neceffary to employ a temai J' confiderable degree of preffure. A parallelogram of fteel bars and foft iron ftiould be kept firm by wedges, fome- what in the manner of printers types, and the extremi¬ ties of the magnetic bars ftiould be perfeftly cleaned. Dr Robifon fuppofed, that wetting thefe extremities confiderably aided the procefsj but he found that the leaft particle of oil between the bars greatly obftrufted it, as did the fmalleft piece of the thinneft gold leaf. He found that bars which were rough acquired a more powerful M A G K E T I S M. 7(3 M A G N E T I S M. 57 Improve¬ ments of Coulomb. i'-srer'men- powerful majrnetifm than thofe which were moderately taj^Lihiftra- pQljjPg,] . j-nl*; that, if moderately rough, they acquired ■ ‘ 7s' - the fmt degrees of magnetifm more expeditioufly than fmooth bars, but did not receive fo ftrong an impregna¬ tion as the latter. The method of making artificial magnets has been greatly improved by M. Conlomb, who in a feries of memoirs, printed in the Memoirs of the Academy of Sciences, and of the National Inftitute of Paris, has communicated a number of valuable obfervations and experiments that have contributed, perhaps more than any preceding labours, to the advancement both of the theory and praflice of magnetifm. Many years ago he publifhed his procefs for making very powerful arti¬ ficial magnets. In his operations he ufes four very ftrong magnets previoufty impregnated. He placed his two ftrongeft; magnets, (as NS, NS, fig. 19.) on an horizontal plane in one right line, at fuch a diftance that they might be a few lines nearer to each other than the length of the needle n r intended to be magnetized. He afterwards took the two magnets N' S', and inclining them as in the method of Aipinus, he placed them firtl on the middle of the needle, or with their poles nearly in contaft. He then drew each magnet, without changing its in¬ clination, to the extremity of the needle, and repeated this operation 5 or 6 times on each face of the needle. It is clear, that in this operation the poles of the needle n r remain fixed and invariable at the extremities of the needle, by means of the two ftrong magnets NS on which it refts. The effeft produced by thefe can only be augmented by the a£hon of the two fuperior magnets, which concur in magnetizing all the particles of the needle in the fame dire61ion. He found likewife, that in this method of magneti¬ zing there is a greater certainty of giving to both fur- faces of needles intended to determine the magnetic meridian, an equal degree of magnetifm •, a circum- ftance deferving of the greateft attention in the con- ftruftion of compaffes, if the needle be fufpended with its broadeft furface parallel to the horizon. After thefe previous procelfes, he took 30 bars of fteel hardened and tempered to the temper of a fpring, five or fix lines broad, two or three lines thick, and 36 inches long. The blades of fencing foils, fuch as are found in the (hops, make pretty good magnets. Eng- lifti ftieet fteel cut into pieces one inch wide, harden¬ ed and lowered to fpring temper, is preferable. When each compound magnet is to contain no more than 15 or 20 pounds of fteel, it is fufticient to make the bars 30 or 36 inches long. He magnetized each bar fingly, according to the me¬ thod already defcribed. He then took two reftangular parallelopipedons of very foft iron, well polifhed, fix inches in lengh, between 20 and 24 lines broad, and 10 tar 1 2 lines thick. With thefe two parallelopipedons, re- prefented fig. 20. at N and S, he formed the armour of his magnet by enveloping one extremity of each parallelopipedon with a ftratum of his magnetic bars, fo that the extremities of the parallelopipedons may projecl beyond the extremities of the bars 20 or 24 lines, and the other end may be enveloped by the ends of the fet of bars. On this firft: layer of fteel bars of three or four lines thick he places a fecond, three inches ftiorter than the find, fo that the firft projects beyond the fecond £S ron or fteel be- Chap. TI. about 18 lines on each fide,. The who’e is fecuredExperimen- at the ends by two binding pieces of copper, which taO‘hutr.i- prefs the bars clofe together, and prevent the armour tl0ns , from efcaping. Fig. 20. reprefents two artificial magnets compofed according to the method juft defcribed. N and S are the extremities of the two iron paralleiopipedons. The two other extremities are inclofed by the bars. Each magnet thus compounded is folidly connefled together by the copper pieces marked b, d, b'. The pieces of contact A, R, join the oppoiite poles of the mag¬ nets. Pie found by experience, that with an apparatus of this form, each part weighing 15 or 2olbs. a force of 80 or loclb. will be required to feparate the pieces of contaft ; and that when an ordinary needle of the com- pafs is placed on the two extremities of the compound bars, fig. 20. they become magnetized to faturation, with¬ out being rubbed with the upper pair. When magnets ol greater force are defired, it isneceffary, in proportion as the number of bars is increafed, to augment their length alfo, and the dimenfions of the parallelopipedons of iron which ferve for the armour. It would be eafy to afcertain the different dimenfions which the magnets ought to have, in a manner iufticiently accurate for prac¬ tice, from the laws of magnetifm, and the pofition of the centre of aftion of the bars of fteel of different lengths and thicknefs. 2. Iron or Jleel is rendered magneticai by being placed^® in a pojition correfponding to the magnetic meridian. It has been often obferved, that a bar of iron which co™es,ma^ ’ has itood for a long time exatlly or nearly in the mag- pofition. netic direction, has acquired a degree of magnetic power, the extremities poffetfing oppofite polarity. In this and other northern parts of Eurupe, old vanes •}£ turrets, window bars, and even pokers that have flood long inclined in the chimney corner, are often very fen- fibly magnetic, their lower extremity becoming a north, and the upper a fouth pole. In the higheft part of the fteeple of St Giles’s church in Edinburgh, on the north fide, the upper bar of a hand-rail leading to a flair is very magneticai. It is worthy of remark, that thofe parts of fuch old bars which have become foliated and crumbly by expofure to the air are the mod magneti¬ cai. This magnetic ftate of perpendicular iron bars was, as we are informed by Dr Gilbert, firft obfer¬ ved in the vane fpindle of the Auguftine church at Mantua. ^ 3. A bar of Jleel long hammered or expofed to violently ham- friblion, while lying in the magnetic meridian, becomes mering or magnetic. friction. This fa£! was well known to Dr Gilbert, who in a plate reprefents a blackfmith hammering a bar of fteel in the magnetic pofition. Many fmiths tools, fuch as long drills, that receive great preffure while in motion, broaches that are worked with a long le¬ ver, fo as to aft very faff, become very fenfibly mag¬ neticai j the lower end, in thefe latitudes, being always a north pole. When a fteel punch is driven hard into a piece of iron, the punch has fometimes been render¬ ed magneticai by a fingle blow. There is fcarcely a cutting or boring tool in a fidth’s {hop that does not poffefs fome degree of magnetic power. Even fob: fteel and iron will acn'Are it by being violently twifted or expofed to great friction, and the magnetifm thus ac¬ quired Chap. II. MAGNETISM. 6o By heat. Experimen- quired is commonly permanent. From this circum- tai Ilmftra. {|ance is difficult to procure for nice experiments ■ ^ . pieces of iron that do not poffefs fome degree of magne- tifm, and hence thefe experiments do not always fucceed. It is therefore convenient to know how to deprive iron and fteel of magnetifm, and the method of doing this will appear from what will be faid in the next fec- tion. The fteel balances of watches are often magnetic, fometimes even fhewing evident polarity; a circum- ftance which is found to have fome effedt in difturbing the proper going of fuch watches or time-pieces. Hence it is recommended to make the balances of brafs. See a paper on this fubjedt by Mr Varley, in the firft volume of the Philofophical Magazine. 4. Magnetifm may be induced on fubjlances that are fufceptible of it, by heat. Dr Gilbert remarks that fuch ores of iron as are in that particular metallic ftate, which he confiders as molt fufceptible of magnetifm, will acquire this power by being kept long in a red heat, while in a magnetic diredtion j and that their polarity correfponds to their polition, that end of the mafs which is oppofite the north becoming a north pole. By many experiments made both by Dr Gilbert, and fince his time by Dr Hock, on iron and Heel bars, it appears that thefe ac¬ quire permanent magnetifm by being expofed to a ftrong heat, and fuffered to cool gradually while lying in the magnetic diredlion ; but that the magnetifm thus acquired by fteel rods is much ftronger and more dur¬ able, if they are fuddenly quenched with cold w'ater, fo as to give them a very hard temper. Dr Hooke found that the end of the bar next the north, or the low*er end of a vertical bar, always became its perma¬ nent north pole, and the upper end, even when quench¬ ed, while the reft wTas fuffered to cool gradually, be¬ came a very fenfible fouth pole. If thefe operations were performed on bars placed in a polition at right angles to the magnetic diredlion, no magnetifm wras acquired. Dr Gilbert makes a remarkable obfervation refpedfing the pofition of a magnetic needle brought near an ignited bar of iron, wffiich w'as fome years ago repeated in the Philofophical Tranfadlions as a newT dif- covery. “ Bacillum ferreum, valide ignitum appone ver- forio excito : flat verforium, nec ad tale ferrum conver- titur : fed fatim ut primum de candore alifiiantulurn remiferit, conjluit illico.'1'' Thus it appears that iron is not fufceptible of magnetifm when red hot, but that it acquires magnetic power during its cooling. Dr Gil¬ bert afeertained the degree of heat moft favourable to the produdion of magnetifm, but from his want of pro¬ per thermometers he did not fucceed. Dr Robifon found that though a bright red or a white heat does not make iron lufceptible of magnetifm while it is ex¬ pofed to fuch a heat, it predifpofes it for becoming magnetic*!. He found that when a bar of fteel was made to acquire magnetifm by being tempered in the magnetic diredion, the acquired magnetifm was much ftronger when the bar w^as firft made very hot, even though allowed to acquire its moft magnetical ftate be¬ fore being quenched, than if it had been heated only to this latter degree. Nay, he always found it ftronger if quenched while red hot. He alfo found that when he heated a fmall fteel bar red-hot, and quenched it while lying between two VOL. XII. Part I. a M. 377 magnets, it acquired a much ftronger magnetic power Experimen- than it would acquire in any other way. Mr Canton contrived the following method of pro-1 ducing magnetifm in fteel bars, without the afiiftance either of natural or artificial magnets. 61 Take twelve bars, fix of foft, and fix of hard fteel, Canton’s the former three inches long, one-fourth of an inch rne^?°^ broad, and one-twentieth of an inch thick } with two ^.ag_ pieces of iron, each half the length of one of the bars, nets, but of the fame breadth and thicknefs. The fix hard bars fhould be each five inches and a half long, one- half inch broad, and three-twentieths of an inch thick, with two pieces of iron of half the length, but of the fame breadth and thicknefs as one of the hard bars j and let all the bars be marked with a line quite round them at one end •, then take an iron poker and tongs, or two bars of iron, the larger they are, and the longer they have been ufed, the better j and fixing the poker upright, or rather in the magnetical line between the knees, hold to it, near the top, one of the foft bars, having its marked end downwards, by a piece of few- ing filk, which muft be palled 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 vertical pofition, let the bar be ftroked by the lowrer end from the bottom to the top about ten times on each fide, which w'ill give it a magnetic powrer fufficient to lift a fmall key at the marked end $ which end, if the bar wrere fulpended on a point, wmuld turn towards the north, and is there¬ fore called the north pole, and the unmarked end, for the fame reafon is called the fouth pole. Four of the foft bars being impregnated after this manner, lay the other twro parallel to each other, at a quarter of an inch diftant, between the twm pieces of iron belonging to them, a north and a fouth pole againft each piece of iron ; then take twro of the bars already made magneti¬ cal, and place them together fo as to make a double bar in thicknefs, the north pole of the one even with the fouth pole of the other, and the remaining two be¬ ing 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 the interpofition of fome hard fubftance (I, fig. 21.), and place them per¬ pendicularly with that end downward on the middle of one of the parallel bars AC, the tw-o north poles to wards its fouth end, and the two fouth poles towards its north end. Slide them three or four times back¬ ward and forward the whole length of the bar ; then removing them from the middle of this bar, place them on the middle of the other bar BD as before dire&ed, and go over that in the fame manner; then turn both bars the other fide upwards, and repeat the former ope¬ ration : this being done, take the two bars from between the pieces of iron, and piecing the two outermoft of the touching bars in their ftead, let the other two be the outermoft of the four to touch thefe with \ and this procefs being repealed till each pair of bars have been touched three or four times over, will give them a con- fiderable magnetic power. When the fmall bars have been thus rendered mag-- netic, in order to communicate the magnetifm to the large bars, lay two of them on the table, between their iron conduftors as before 5 then form a compound mag¬ net with the fix fmall bars, placing three of them with 3 B the t 1 04 8 M A G N E T 1 S M. i?xperimen-the north poles downwards, and the three others with Ui'oor':lra~ the foiith poles downwards. Place the two parcels at a.„ . an angle, as was done w ith four of them, the north ex¬ tremity of the one parcel being put contiguous to the fouth extremity of the other-, and with this compound magnet llroke four of the large bars, one after ano¬ ther, about twenty times on each fide, by which means they will acquire lume magnetic power. - w ben the four large bars have been fo far rendered magnetic, the fmall bars are laid afide, and the large ones are ftrengthened by themfelves, in the manner followed with the fmall bars. To expedite the operation, the bars ought to be fix¬ ed in a groove, or between brafs pins, otherwife the attraction and friCHon between the bars will be conti¬ nually deranging them when placed between the con¬ ductors. This whole procefs may be gone through in about half an hour, and each of the large bars, if w^ell har¬ dened, will lift about 28 ounces troy, and they are fit¬ ted for all the purpofes of magnetifm in navigation and experimental philofophy. The half dozen being put into a cafe in fuch a manner as that no two poles of the fame name may be together, and their irons wdth them as one bar, they will retain the virtue they have received •, but if their power fhould, by making experi¬ ments, be ever fo much impaired-, it may be reftored W'ithout any foreign affiitance in a few minutes. Thefe bars mult be kept in a wmoden box, arranged in fuch a manner that their oppofite poles may lie to¬ gether, as reprefented at fig. 22. There are various methods of communicating a per¬ manent magnetifm to ferruginous bodies, by means of a bar rendered magnetic, by pofition, of which the molt limple is that deferibed by Mr Marcel, whofe experi¬ ments were made in the year 1726. Being employed in making fome obfervations on the magnetic power which he found in great pieces of iron, lie took a large vice weighing 90 pounds, in which he fixed a large anvil weighing I2lbs. The fteel to which he wifhed to give the magnetic power was laid upon the anvil in a north and fouth pofition, which happened to be the diagonal of the fquare furface of the latter. He then took a four cornered piece of iron an inch thick every way, 33 inches long, weighing about 81bs. having one end rounded and brightly poliihed, the other being tapered. Holding then the fteel faft upon the anvil with the one hand, he took the iron bar in the other, and holding it perpendicularly, lie rubbed the fleel hard with the rounded part towards him from north to' fouth, always carrying the bar far enough round about Ko begin at the north. Having thus given io 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 40Q times, the fteel was as ftrongly magnetic as if it had been touched by a pov.-er- iul loadftone. The place where he began to rub was always the north pole. In thefe experiments it feme- times happened that the virtue was imparted by a few ftrokes ; nay,, by a fingle ftroke a fmall needle was made to receive a very confiderable power. Thus he imparted to two compafs needles fueh a degree of mag¬ netic power, that one lifted three-fourths, and another a whole ounce of iron, and although thefe needles were anoiqted with lintfeed oil to keep them from rufting, 62 Marcel’s method. Chap. IT. and a hard coat was thus formed upon them, they Experimen- ncverthelefs retained their power. Thus alfo a knife tal vvas made fo ftrougly magnetical, that it would take up , llons' , an ounce and three-fourths of iron. Four fmall pieces of fteel, each an inch long, and one-twelfth of an inch broad, as thin as the fpring of a watch, were thus im¬ pregnated with the magnetic power, and then joined into a fmall artificial magnet; which at its firft forma¬ tion took up eight times its owm weight of iron ; and after being fix years kept in the moft carelefs manner, was found to have gained rather than loft any thing of its power. In the courfe of his experiments, Mr Mar¬ cel found, that the end at which he began to rub vras always.the north pole, whatever pofition the fteel was laid in. On rubbing a piece of fteel from one end to the middle, and then from the other end to the middle, it acquired two north poles, one at each end, the middle being a' fouth pole. Beginning to rub from the middle towards each end, he found a north pole in the middle, and a fouth pole at each .extremity. ^ Magnetifm may be communicated to a fmall piece Method of of foft fteel in the following manner: take two iron bars of about an inch fquare, and upwards of three ^eet offca iteef in length ■, keep them in the magnetical line, or in a perpendicular pofture, as reprefented fig. ■23. Let the piece of fteel CB be either faftened to the edge of a table, or held by an affiftant ; and placing the lower extremity of the bar AB, and the upper extremity of the bar CD, on oppofite lides, and in the middle of the fteel, ftroke the latter from the middle toivards its extremities, moving both bars at the fame time. When both are arrived at the extremities of the fteel, remove them from it, and apply them again to the middle. Do fo for 40 or 50 times, and the fteel will be found to have a confiderable degree of magnetic powrr. Care, however, muft be taken, in removing the bars, not to draw them along the furface of the fteel, or the experiment will not fucceed, becaufe the magnetifm is deftroyed by the contrary ftrokes. g The late Dr Gowin Knight pofleffed a furprifingD,-Knights Ikill in magnetifm, being able to communicate an ex- artificial traordinary degree of attrafliye or repulfive power, and loadftones. to alter or reverfe the poles at pleafure j but as he re- fufed to difeover his methods upon any terms what¬ ever (even as he faid, though he ftiould receive in re¬ turn as many guineas as he could cairy), thefe curious and valuable fecrets have died with him. In the 69th volume of the P'.ulofophical Tranfadlions, however, Mr Benjamin Wilfon has given a procefs, which at leaft difeovers one of the leading principles of Dr Knight’s art, and may perhaps be a means of difeovering the whole to thofe who fhall be lefs referved. The doc¬ tor’s procefs, according to Mr Wilfon, was as follows. Having provided hinftelf with a great quantity of clean iron filings, he put them into a large tub, that was more than one-third filled with clean water 5 he then, with great labour, worked thd tub to and fro for many hours together, that the fridion between the grains of iron by this treatment might break off fuch fmaller parts as would ^remain fufpended in the water for a time. The obtaining of thefe very fmall particles in fufficient xjuantity leemed to him to be one of the prin¬ cipal defiderata in the experiment.- The water being by this treatment rendered very muddy, he poured the fame into a clean iron veffel, leaving the filings be¬ hind 5 Chap. IT. M A G N Experimen-hind ; and when the water had flood long enough to tal Tllullra- be clear, he poured it out carefully, without difturbing . tlons- fuch of the fediment as ftill remained *, which now ap- v peared reduced almoft to an impalpable powder. T his pow'der was afterwards removed into another veflel in order to dry it; but as he had not obtained a proper quantity thereof by this one flep, he wras obliged to re¬ peat the procefs many times. Having at laft procured enough of this very fine powder, the next thing was to make a pafte of it, and that with fome vehicle which would contain a confiderable quantity of the inflammable matter ; for this purpofe he had recourfe to lintfeed oil in preference to all other fluids. With thefe two in¬ gredients only he made a ftiff paile, and took particular care to knead it well before he moulded it into conve¬ nient (hapes. Sometimes, wdiile the pafte continued in its foft flate, he would put the impreflion of a feal upon the feveral pieces j one of which is in the Britilh Mu- fleum. This pafte was then put upon wood, and fome- times on tiles, in order to bake or dry it before a mo¬ derate fire, at about the diftance of a foot. He found that a moderate fire was moft proper, becaufe a greater- degree of heat made the compofition frequently crack in many places. The time required for the baking or drying of this pafte was generally about five or fix hours before it attained a futficient degree of hardnefs. When that was done, and the (everal baked pieces were become cold, he gave them their magnetic power in any direction he pleafed, by placing them between the extreme ends of his large magazine of artificial magnets for a lew feconds or more as he faw occafion. By this method the pow-er they acquired was fuch, that when any of thefe pieces were held between two of his beft ten guinea bars, with its poles purpofely inverted, it immediately of itfelf turned about to recover its na¬ tural direftion, which the force of thofe very powerful bars was not fulftcient to counteradl. In the 66th volume of the Philofophical Tranfa&ions we have the following account from Dr Fothergill, of Dr Knight’s method of imitating natural magnets, but which is by Mr Cavallo fuppofed to be fome miftake or mifinformation. “ I do not know, fays he,” that ever the dodlor (Dr^Knight) left behind him any de- fcription of a compofition he had made to form artifi¬ cial loadftones. 1 have feen in his poffefiion, and many other of his friends have likewife feen, fuch a compofi¬ tion, which retained the magnetic virtue in a manner much more fixed than either any real loadftone, or any magnetic bar, however well tempered. In the natural ones he could change the poles in an inftant, fo like¬ wife in the hardeft bars, but in the compofition the poles were immoveable. He had feveral fmall pieces of this corapofition w-hich had ftrong magnetic powders. The largeft was about half an inch in breadth, very little longer than broad, and near one-fourth of an inch thick. It was not armed, but the ends were powerful¬ ly magnetic nor could the poles be altered, though it was placed between two of his largeft bars, and they were very ftrongly impregnated. The mafs w-as not very heavy, and had much the appearance of a piece of black lead, though not quite fo fhining. I believe he never divulged the compofition, but I think he once told me, the bafis of it was filings of iron re¬ duced by long-continued attrition to a perfeflly impal- E T I S M. 379 pable ftate, and then incorporated with iome pliant Expenmen- matter to give it due conlutence. t;ons From thefe accounts it appears that the bafis of Dr i, — v ~—.i Knight’s artificial loadftones was the black powder to w'hich iron filings are reduced by being fhaken with water, or the b/ack oxide of iron, formerly called mar¬ tial mthiops. Hence Mr Cavallo luppofes that the fol^ lowing receipt for imitating the natural magnets will anfwer the purpofe. Take fome martial oethiops, reduced into a very fine powder, or, which is more eafily procured, b/ack oxide of iron, the feales which fall from red-hot iron! when hammered, and are found abundantly in fmiths (hops. Mix this powder with drying lintfeed oil, fo as to form it into a very ftiff pafte, and fhape it in a mould fo as to give it any form you require, whether of a terrella, a human head, or any other. 1 his done, put it into a warm place for fome w'eeks, and it wall dry fo as to become very hard •, then render it magnetic by the application of powerful magnets, and it will ac¬ quire a confiderable power. SECT. IV. Of the CircumJ/anccs which tend to impair or dejiroy the Magnetic Power. ' 65 The magnetic power in all its modifications, whether Magnetifm of attraction, repulfion, or polarity, is in general tem-^™^ porary and perithing. The beft magnets, W'hether na¬ tural or artificial, unkfs carefully preferved, with at¬ tention to certain circumftances that will prelently ap¬ pear, are obferved to have their magnetic power dimi- niflied. Natural magnets, and artificial magnets made of fteel tempered as hard as poflible, retain their power moft obftinately, and feldom entirely lofe it except un¬ der circumftances which we know to be unfavourable to its durability. Magnets of fteel of a fpring temper, are much fooner weakened, lofe more of their force merely by keeping, and finally’ retain little or none of it. Soft fleel and iron feldom retain magnetic power wflien removed from the magnet where they acquired it, unlefs their metallic ftate undergoes fome change. The following circumfttyices have been obferved to be moft powerful in diminifhing or deftroying the power of magnets. x, 1. Improper pofition. Nothing has fo much effect in ^ impairing the power of a magnet as keeping it in anj[on? improper pofition, that is, too far from the magnetic line. If the axis of the magnet be placed in a direc¬ tion that ^s at right angles with the magnetic meridian, that is, in this latitude nearly E. N. E. and W. N. W, it will fooneft lofe its magnetic pow er ; and if it be placed in the magnetic line, but in a contrary pofition, or wflth the north pole where the fouth pole thould be, if permitted to vibrate freely, it will gradually become weaker every day, and unlefs it be a natural magnet, or an artificial one made of very hard tempered fteel, it will, in no very long time, entirely lofe its magnetic power. 67 2. Heat. The diflipation of magnetic power is great-By heat; ly promoted by heating the magnet. The heat of boiling water has a fenfible effeA in this way ; but if the magnet be expofed to a red heat, its power is en¬ tirely deftroyed, as has been long knowm. Dr Gilbert obferved that the pow’er of magnets was deftroyed by a 3 B 2 heat 38° M A G N > TKeC;7- ,neat t^at lvas not Sufficient to make tlie metal vifiblei n y ^ darkj and Mr Canton found that the heat of boil¬ ing water weakened the power of a magnet, but that tije greateil part of tins was recovered as the magnet cooled. If the heat be applied when the magnet lies in a politico molt favourable to the diffipation of mag- netilm, the power is fooneft dellroyed ; hence, the belt way to deprive iron or fteel of accidental magnetifm is, to heat it red-hot, and allow it to cool while lying in a direction perpendicular to the magnetic line. M. Couiomb has afcertained that at 200 degrees of heat, two fifths of the magnetifm of a magnet is diffi- ^ pated, and that at 500 degrees the whole is loft. By violent 3' violent treatment. It is very extraordinary treatment; *hat the power of a magnet is impaired by rough ufage. Dr Gilbert obferved that a magnet which he had powerfully impregnated was greatly weakened by a lingle fall on the floor ) and fince his time it has been obferved that when a magnet falls on a flone, or re¬ ceives any concuffion that makes it ring, it is injured much more than by being beaten writh any thing foft and yielding. When a natural magnet is ground with coarfe powders, in order to bring it to any required form,, it is confiderably weakened. This fhews the propriety of altering the natural form of loadftones as little as poffible, and where this is neceffary, of doing it as expeditioufly as may be, by cutting them brifkly Sf) in the thin difks of a lapidary’s wheel. By fi nilar 4. Placing them near each other with their Jimilar vwfo{heing ^CS Magnets fituated in this way always weaken 1 e’ each other, and when a powerful magnet is placed near a weaker, with their fimilar poles oppofed, the polarity of the weaker is frequently reverfed, that is, if the pole were north it becomes fouth, and vice verfa. When the weaker magnet is a natural loadftone, or has been made of hard tempered fteel, its original po¬ larity is reftored when the improper pofition is changed; but if it has been made of fpring-tempered fteel, the alteration is generally permanent, and often as com¬ plete as while the magnets were in the neighbourhood of each other. Chap. III. Theory of Magnetifm. 'Opinions of RESPECTING the notions which the ancient philofo- the and- phers entertained about the caufe of magnetic pheno- ents* mena, we know very little. One curious opinion which they entertained of the reafon why a magnet was im¬ proved by the contaft of iron, is worth noticing. They conceived that the magnet fed upon the iron, and hence acquired additional attractive power; and when de¬ prived of this pabulum, it grew weak and languid. — “ Nam ferro nurunt vitam, ferrique vigore Vefcitur ; hoc dulces epulas, hoc pabula novit; Hinc proprias renovat vires, hinc fufa per artus Afpera fecretum fervant alimenta vigorem. Hoc abfente perit, trifti morientia torpent Membra fame, venafque fitis confumit apertas ” Claudian. In the 16th century, the philofophers of modern times firft began to fpeculate about the caufe of magne¬ tic polarity, a phenomenon which then became mtereft- ing on account of the difference of declination obferved E I I S M. Chap. III. by navigators. Various trifling opinions were publiffied Theory. on the lubjecf. . Some faid that the needle was diretfted v ' by a.certain point in the heavens, which was little more than faying that it pointed one way. Others alcribed tne direction of the needle to vail magnetic rocks fitua¬ ted in the earth ; but as to the exa£t iituation of thefe rocks, they d,d not give themfelves the trouble to in¬ quire, till Fracaftcri obferved, that, if thole rocks are fuppafed to be lituated in any part of the globe yet vi- fited by navigators, and if, as we mult fuppofe, they adt like loadftones, they will caufe the diredtion to be very different from what is obferved. He therefore placed them fotnewhere in the inaccetiible polar regions, though not immediately at the poles. Norman,°who’ as we have feen ( Ijifping Needle'), difeovered the dip of the magnetic needle, and obferved that in every part of Europe, the north pole pointed very far below the horizon, was naturally ltd to alcribe this eftedl to the influence of the earth, though he does not exprefs him- felf as ii he thought that the needle was attracted by any point within the earth, but only that it was always directed to luch a point. From comparing the different pofitions of the coni- Gilbert’s pafs needle, as deferibed by Norman, with the pofitions theory, which he had hinftelf obferved fmall needles to affirme in relation to a magnet, Dr Gilbert was naturally led to. confider the earth as a great loadftone, or elfe con¬ taining a great loauftone within it, which arranged the dipping needle, or the needle of the compafs, in the fame manner as he obferved a fmall needle polled on its pivot, to.be arranged by a large magnet. Dr Gilbert has explained his theory at large in his Physio/ogia Nova de Magnete, et de Tellure Magno Magnete. It may be briefly exprefled in the following terms. AH the ap¬ pearances of natural magnetilm are fimilar to what would be obferved in the earth, w^ere a large magnet with its poles fituated near the poles of the equator, viz. the north pole not far from Baffin’s bay in North Ame¬ rica, and the fouth pole in about the oppolite part of the globe. If a dipping needle were expofed to the influence of fuch a large magnet, it muft arrange itfelf in a plane paffing through the magnetic poles, a pofi¬ tion indicated' very nearly by the mariners needle ; and the more we recede from the equator of the great mag¬ net, the more muft the dipping needle be inclined to the horizon. Dr Gilbert’s theory was equally ingenious and im- 7* portant, and aftords, if firmly eftablithed, a complete explanation of all the phenomena of magnetifm. At the time it was firft publilhed, however, obfervations were neither fufficiently numerous, nor fufficiently ac¬ curate, to enable the author to affign the real pofition of the great magnet, nor to afeertain its laws of aftion. I he theory was chiefly founded on obfervations made by the dipping needle, and though thofe inftruments made by Norman were more accurate than might have been expe&ed at fo early a period of the fcience, the ob¬ fervations made with them cannot, from many circum- ftances, be implicitly relied on. We are ftill in want of a numerouscolledhon of oblervations on the dip, m order to perfeft our knowledge of the magnetic poles. We can only fay that the earth a£!s on the compafs needle in the fame manner as a large magnet would adl; but the appearances do not feem to refefnble the effeefs of what we fhould confider as a good loadftone having two vi- gorotts Chap. III. M A G N E Theory, porous poles, but rather fuch as would refult from the ^ adlion of a very irregular loadflone with its poles very much diffufed. 73 It is unfortunate that our moil numerous obferva'ions of the dip have not been made in thofe places where they would be the moft inftruftive. Dr Robifon was of opinion that a feries of obfervations ihould be obtained, extending from New Zealand northward, acrofs the Pacific ocean to Cape Fairweather on the weftern coaft of North America, whence it ihould be continued through that part of the continent. A fecond feries might extend from the Cape of Good Hope along the weiiern coaft of Africa to the tropic of Capricorn ; thence acrofs the interior of the African continent through Sicily, Italy, Dalmatia, the eaftern part of Germany, the gulf of Bothnia, Lapland, and the weft¬ ern part of Greenland. This feries would be nearly in a plane paffing through the probable fituations of the poles. A third feries might extend at right angles to the laft, fo as to form a fmall circle croffing the former, palTing near Japan, through the iiland of Borneo, and the wTeflern part of New Holland ; near Mexico, and a few degrees weft of Eafter iiland. Here and at Bor¬ neo there would be a confiderable inclination of the magnetic plane to the horizon, though this cannot be found out. There are, however, other points of this circle in which the dip is confiderable, where the incli¬ nation may be dilcovered. In ftiort, all circumftances feem to indicate a multiplicity of poles, or what renders calculation moft difficult, an irregular magnetiim in which the polarity is very much diftufed. Philofophers are very much divided refpedfting the fi- tuation of the magnetic poles of the earth. We fhall here ftate only a few of their opinions, referving a fuller account of fome of them for the article Variation of the Cowpafs. . ?4 Dr Halley thought that the north magnetic pole was as^to the near Baffin’s bay in North America. ' fituation of Profelfor Krafft (fee Peterfburgh Comment, vol. xvii.) the magne-places the north pole in N. Lat. 70° and W. Long- tic poles. - - ------ y - - 6 and the fouth pole S. Lat. 50°, and 230 from London E. Long. 920. Wilcke of Stockholm places the north pole in N. Lat. 750 near Baffin’s bay, and in the longitude of California, while he fixes the fouth pole in S. Lat. yo0 in the Pacific ocean. Churchman fuppofes the north pole to be in N. Lat. 590, and W. Long. 1350, a little inland from Cape Fair- weather ; and the fouth in S. Lat. 59®, and E. Long. 165* dire&ly fouth of New Zealand. (See Varia¬ tion)-. Euler (Memoirs of the Acad, of Berlin, vol. xvi.) places the north pole in N. Lat. '75°. Lemounier (L ois dn Magnetifme) in N. Lat. 73®. Buffon in N. Lat. 71°. La Lande places it in N. Lat. 77® 4', and in about W. Long. 98° from Paris. (See Connoiffance des Terns, an. xii.). Kow’ever ingenious this hypothefis of Dr Gilbert was, it appears tojiave been nothing more than a fuga¬ cious conje upon, and pafles through thefe pores. This fluid he fuppofes to be the folar at- mofphere, or that fubtile matter called eiher, which fills our fyflem. Indeed, moll writers on this fubjedl agreed in fuppo- fing that there are cotpufcles of a peculiar form and energy, which continually circulate around and through a magnet; and that a vortex of the fame kind circulates around and through the earth. “ A magnet, befides the pores which it has in com¬ mon with other bodies, has alfo other pores confider- ably fmaller, deflined only for the paffage of the mag¬ netic fluid. Thefe pores are fo difpofed as to commu¬ nicate one with the other, forming tubes or channels, by which the magnetic fluid pafles from one end to the other. The pores are fo formed, that this fluid can only pafs through them in one direction, but cannot re¬ turn back the fame way ; fimilar to the veins and lym¬ phatic veffels of the animal body, which are furniftied with valves for this purpofe : So that the pores of the magnet may be conceived to be formed into feveral narrow contiguous tubes, parallel to each other, as at A, B, fig. 25. through which the finer part of the ether patTes freely from A to B, but cannot return back on account of the refiflance it meets with at «, tj, 6, nor overcome the refirtance of the groiTer ether, which occalions and continues the motion. For fuppofing the pole A of a magnet, filled with feveral mouths or open ends of fimilar tubes, the magnetic fluid, preffed by the groffer parts of the ether, will pafs towards B with an inconceiveable rapidity, which is proportionable to the elafticity of the ether itfelf; this matter which, till it ■arrives at B, is feparated from the tubes by the groffer parts, then meets with it again, and has its velocity re¬ tarded, and its dire£lion changed •, the fiream, reflect¬ ed by the ether, with which it cannot immediately mix, is bent on both fides towards C and D, and deferibes, but with lefs velocity, the curves DE and C F f, and approaching by the curves d and c, falls in with the effluent matter m rn, and again enters the magnet ; and *}■ Lettres a forms tliat remarkable atmofphere, which is vifible in the arrangement of fteel filings on a piece of paper that is placed over a magnet” f. We have, already had occalion (fee the article Im¬ pulsion) to make fome obfervations on the general , and the force of the magnet m. Then it is evident that /> — m y f30 ; and p \ m — f $0 \f 15 ; and for the fame realon p : mzzf, 75 : / 30, and therefore/, 15 :/, 30=/ 30 :/ 75. But fine 15 : 3orzfine 30 : j 75 ; hence Mr Lambert con¬ cluded, that the fne was that funCtion of the angle which was proportional to the aCtion of magnetifm on a lever. As this point, however, could not be deter¬ mined by one experiment, he compared feveral other obliquities and declinations wdth the fame diltances, and with different diftances of the magnet, and fully proved that he was right in his conjeCture. The refult of Mr Lambert’s experiments fully proves the fallacy of the theories of impulfion, which pretend to explain magnetic aCtion by the impelling power of a ftream of fluid, or by preffure produced by the motion of fuch a ftream; as in fuch a cafe the preffure on the needle muft have diminilhed in the duplicate ratio of the fine ; or with the angle 90° the directive power muft; have been four times as much as with the angle of 30°, whereas it is Ihewn by obfervation to be only twice as much. When Mr Lambert had afcertained the effect of ob¬ liquity, he proceeded to examine that of diftance 5 and he found, that if w”e put f for the force of the magnet, and 5 for the diftance of the neareft pole of the magnet from the centre of the needle, and a for a conftant quantity nearly equal to two thirds of the length of the needle,/will be proportional to (3—a*). Dr Robifen endeavoured to inveiiigate this law in a Dr Robi- very fimple manner. He caufed to be made fome mag-Ion’sinvefti- nets confifting of two balls conneded by a flender rod.S^1005, By a particular mode of impregnation (which we fup- pofe to be quenching them, after being red hot, be¬ tween two magnets) he gave them a pretty good mag¬ netifm j and the force of each pole appeared to be near¬ ly confined to the centre of the ball, which was his ob- - jeCl in making them of fuch a fliape, as it reduced the examination of their attraCfive and direClive power to a very eafy computation. The refult of his experiments was, that the force of each pole varied inverfely as the fquares of the diftances, or at leaft the error arifing from fuch an hypothefis was very fmall, amounting on¬ ly to one-fifteenth of the whole. Dr Robifon made a near approximation to the law' of t 334 8S , Picture of he magne' ■t forces. Theory. Qf a^ion, by fuppofing that tbe fun6tion of the diftance y expreffing that law, reprefented by the ordinates of a curve fimilar to the hyperbola, referred to its affymp- tote as an axis, towards which its curve was of courfe always convex. On this luppofition he explained the attradlions and repullions of magnets nearly in. the fol¬ lowing manner. Let there be two magnets, A and B (fig. 26.) pla- * ced fo that their four poles, S, N, s, », may be in a flraight line. Now, on the ftraight line O ^ take O m, 0/>, O «, O ^rrN J-, N «, Sr, S n; and let MPNQ^ be a curve line, whofe afymptotic axis is the faid line O q. Draw the ordinates /«M, /> P, N«, y Qto the curve, and thefe wdll reprefent the intenfities of the forces exerted between the poles of the magnets. The diftance be¬ tween m, n, or between f> and q zr the length of the magnet A, and m /> or n q — that of B, and M rw, P/>, N n and Qq, are pairs of ordinates that are equally diftant. Now, it is eafy to fee from the figure, that in whatever fituation the pairs of equidiftant ordinates may be, M<7 will always exceed P/>-j-N/7, or the fum of the attractions will be always greater than that of the repulfions. Let the chords MQ, PN, MP, NQ be drawn. Bi- fe£l them in B, D, L, F, and join EF. Draw the or¬ dinates E e, Fy'j and BD b (cutting EF in C). Draw P u parallel to the axis, cutting E e in i. Draw alfo £) z’ parallel to the axis, cutting Fy'in )—(«-—y) or the ex¬ cefs of the difference of the aClions exerted by the near- eft pole of A on the two poles of B, above the differ¬ ence of the aftions of the remote pole of A on the fame poles of B. Now, i. If we fuppofe the diflirnilar poles of A and B to front each other, m-\-q will reprefent attractions, and repulfions •, but m-\-q is greater than p-\-n^ therefore A and B wTill attraCl each other. Again \jn-\-q)—equals M /, ~ 2 E 0 ~ 2 BD “4 CD. , The above aCtion will be increafed by any one of four circumftances, as, 1. By increafing the ttrength of either magnet. 2. By leffening the diftance between the two magnets. 3. Increafing the length of A, the diftance between it and B remaining the fame. 4. By increafing tbe length of B, the diftance between it and A remaining the fame. 2dly, Let us place the magnets, fo that their fimilar poles front each other. Here it is evident that the or¬ dinates which in the former cafe reprefented attrac¬ tions, will now reprefent repulfiojns, and that the repel- I MAGNETISM. Chap. III. ling forces of the magnets are equal to the former at- Theory, trading forces at the fame diftances. As magnets are—y— feldom perfed, the repelling forces are, however, ufual- ly weaker than the attrading. 87 To explain the diredive power of magnets, Dr Ro-Explana- 86 bifon fuppofed the magnet A not to be at liberty to a.p-^.^dl* proach B or recede from it, but to be fupported at itspowen centre B, lb as to turn round it. Now, its fouth pole1 j being more attraded by N than it is repelled by S, B is on tbe whole attraded by A, and by this attrac¬ tion would vibrate like a pendulum fupported at the centre B. Again, the north pole n being repelled by N more than it is attraded by S, will be on the whole repelled,’ and B zz would.alfo vibrate round B. Thus B wmuld be kept in the pofition s B, zz. This will be more evident if w’e fuppofe the magnet B arranged at right angles to the line AB, as in the dotted reprefentation s' B n' j for now s' and n' are urged in oppofite con- fpiring diredions with equal forces, which, if the mag¬ net be very fmall, will ad nearly at right angles to n' s'. If the pofition were oblique, the forces would be fome- what unequal j and allowances muft be made for the ob¬ liquity of the adion, that we may know the precife ro¬ tative momentum. This modification of the adion of A on B, we call the diredive power of A ; and the mo¬ dification of B, by which it tends to or from A, we call the polarity of B. Now, the diredive power of A and the polarity of B may be increafed, 1. By increafing the ftrength of either A or B, or both j 2. By diminilhing the diftance between A and B ; 3. By increafing the length of A; and, 4. By diminiihing the length of B the diftance be¬ tween them remaining the fame. We may remark, that the diredive power of A is always greater than its attradive power, by a certain meafure which we may reprefent by the formula 2 (/>—q) which is thus derived. The difference be¬ tween them may be expreffed by 11~ 2 0 L *, but e e±z Pp—p, and 1L—P/> — Ff—Vp—Q ^—F fuch as NHM, NEL, and SGK, SEI; but our limits do not permit us to enter here on the inveftigation of thefe curves. Law of ac- From all Dr Robifon’s experiments and calculations, tion proba- he appears to have been fully convinced, that the true ij}- law of magnetic adlion is in the inverfe duplicate ratio 'thTfquares °f t-ie di/lances, and his opinion is Hill farther llrengthen- "of'ihe di- ed by the ingenious experiments of M. Coulomb related fiances- jn the Memoirs of the Academy of Sciences at Pans for 1786 and 1787, or the Jour, de Phy. vol. xliii. We are now prepared to examine the indudlion of magnetifm in iron or Heel by juxtapofition to a magnet, the general facts of which are mentioned and illuftrated in N° 44. It was remarked in N° 46, that the induction of mag- netifm in the iron by being near a magnet was not pro¬ duced by a transference of fomething from the magnet to the iron. It follows that there mult be fome inhe¬ rent property in iron, which is only excited, as it were, or foufed into adtion, by the proximity of the magnet. It has been remarked, that the magnetifm of iron is momentary, but this muft be underllood only of the fineft and purell: iron, as when this metal is in the Hate of ore, or has undergone any change, as by expofure to -the air, or by cementation, its magnetifm becomes permanent, in proportion to the hardnefs of the me- o ta^' Induced It is great importance to obferve that the acquifi- magnetifm tion of induced magnetifm is gradual and progreflive, gradual. an(j that this gradation is more perceptible according as the iron is in a harder Hate. In foft iron the induftion appears to be inftantaneous throughout, unlefs the bar be exceedingly long ; but when a magnet is brought near a bar of tempered Heel, the near end acquires a contrary polarity long before the remote end appears affefted, and it is a long time before the remote end acquires the fame polarity with the proximate end of the magnet. From what has been faid we may infer, that a piece tracled on- of iron brought near a magnet, is attrafted only be- ly becaufe caufe it becomes magnetical by indu6lion, and that n becomes attraftion of a loadftone for iron, or the tendency of iron to the loadflone, is the confequence of the pro¬ per difpofition of the magnetifm induced in the iron. It has already appeared, that this phenomenon arifes from the excefs of two attraflions above two repulfions, and this is farther proved by the following conlidera- tions : 1. That the magnetifm of the two poles is evi¬ dently of an oppolite nature, the one attra&ing what the other repels, and vice verfa. If a piece of iron is 'Vol. XII. Part I. 91 Iron at- magnetical. 92 E T I S M. attracted by one, it ought therefore to be repealed by the other ; but each pole, by inducing on the near end of the iron a magnetifm oppolite to its own, and on the remote end a limilar magnetifm, and its aclion dinn- niihing as the diitance increafes, the attraction mult al¬ ways be in excefs, and the iron mutt on the whole be attracted. 2. When we have two magnets placed in a parallel pofition, with their oppofite poles together, if a piece of common iron be brought near their ex¬ tremities, the different poles counteradting each other, the piece of iron will not be fupported by the two mag¬ nets together, unlefs there is an inequality of adtion } but it is evident that either of them alone would be capable of fupporting the iron. 3. In all the cafes where the indudtion of magnetiim is flowg the attradlion is proportionally weak, and the attradlion increafes ex- adliy according to the incredfe of the progrellive in* dudlion. 4. An ore of iron that is not capable of ac¬ quiring magnetifm, is not attradled by the magnet, and on the other hand it is an univerfal fadl, that no fub- ftance which is not attradled by the magnet, can be rendered magnetical. The indudlion of magnetifm by juxtapofition affords Arrange- a complete explanation of the curious arrangement of ment of iron filings round a magnet. Let us fuppofe a greaW^^G* many fmall oblong pieces of iron to be lying near each6 P ^ other on the furfase of mercury, and that a ftrong magnet be brought into the midit of them. T hey are all immediately rendered magnetical by indudlion ; any one that is neareft the north pole of the magnet acquiring two poles, one a north and the other a fouth pole, turns the fouth pole towards the north pole of the magnet, and the north pole away from it*, a fimilar effedl is pro¬ duced on another piece or filing that lies near the firtt, and fo on of the reft. All thofe that lie near each other muft mutually attradl, as the magnetifm of each is fo difpofed that both ends of it are in a ftate of at¬ tradlion towards one or other of its neighbours. They will therefore arrange themfelves by coalefcence in a particular manner 3 if they are near enough, they will unite by th^ir extremities, and if they are at fome di- ■ ftance they will point towards each other, forming curved lines. It is found that the magnetifm of magnets, whether Magnetifm natural or artificial, is continually tending to decay, can be re- Now as we find that this magnetifm may be induced verGfi* merely by the approach of a magnet, and as wre know that in producing magnetifm, magnets may oppofe each other, it is reafonable to conclude, that when a fiight though permanent magnetifm has been acquired by a piece of iron by its vicinity to a magnet, it may be deftroyed, and the contrary magnetifm induced, by applying a magnet in the oppofite diredtion. Accord¬ ingly it is a well-known fadl, that the poles of magnets made of foft fteel can be reverfed at pleafure. This explains why magnetic repulfion is always weaker than attradlion at the fame diftance, as magnets, when placed with their fimilar poles fronting each other, in order to try their repulfion, are thereby weak¬ ened ; whereas, on the contrary, magnets applied with their oppofite poles, fo as to attradl each other, are thereby improved, and their attradlive powers are made to appear greater than they really are. It has been obferved that a magnet is not weakened by inducing magnetifm on iron. In fadl, it is rather 3 C improved 385 rhcory. ""V—— ^4 Objedlion to terref- trial mag- netifm an- fwered. 95 Obferva- tions of Humboldt ind Biot. improved hy fuch ir dcdtidr, and this will increafe he effedl j for as the magnet is improved, the induced niagnetifm of the iron will be thereby increafe'd, and thus the magnet will be thus fanner improved. After what has been faid, we need not enter further into an explanation of the phen-rfiena, or of the pro- defies employed in making artificial magnets. They are all referable to this one fa£l of the indu&uwi of magnetifm by juxt-ipofition, and explanations will readi- 1y fuggefl themfelves to readers who carefully confider the preceding faffs, and compare them with Dr Gil¬ bert’s theory of terrefirial magnetifm. It is now time for us to return to Dr Gilbert’s hypo- thefis, and confider an objection that has been ftrongly urged again!! it. There is ©bferved no tendency in the magnetic needle towards thegreat terreflrial magnet, that is, though, when made to float on water, it fpeedily acquires direflive power, it does not in thefe latitudes approach the north fide of the veffel, nor does an iron bar appear heavier when its fouth pole is uppermoft, as ought to be the cafe on account of the attraction of the great magnet. Dr Gilbert faw this objection, and it appears to have given him fome concern, fie attempted to get rid of it by obferving that the directive power of a magnet is greater than its attraffive force ; a faft in fupport of which he brings many experiments. A much more iatisfaflory anfwer may be derived from what has been Hated refpefting the actions of the four poles. We thence find, that tl^e polarity of the needle depends on the difference of the Jt/rns of the affions of each pole of the magnet on both poles of the needle *, whereas its tendency towards the magnet arifing from the attraftion between them, depends on the difference of the differ¬ ences of the fame aftions. Hence the former may be very great while the latter is very fmall. We find that fmall iron filings are much lefs forcibly attrafted by magnets than coarfe ;Ones, and, if we confider that the largeft magnets which we employ do not bear lo great a proportion to the earth, as the fineft iron fil¬ ings to an ordinary magnet, we {hall not wonder that the attraftive power of the earth is not very fenfible. As this objection is one ot the ftrongeft that can be brought againft the theory, and as wTe may confider this as done away, we may now receive the theory as juft fo far as it goes. We muft remark, that though we call that pole of a magnet which inclines towards the earth in the northern latitudes, a north pole, it is properly fpeaking a fouth pole ; for as we muft call that pole of the great magnet the north pole which is in the north, and as this pole produces the contrary polarity in the proximate end of a needle, that end muit be poiTeffed offouth polarity. We fhall return to this fubjeCt in the article Variation. Some valuable obfervations on terreftrial magnetifm have lately been made in France by M. M. Humboldt and Biot, and as they would fuffer materially by a- bridgement, we ihall prefent our readers wfith the great- eft part of the memoir nearly as tranflated in the Philo- fophieal Magazine, vol. xxii. After explaining the objeCt of the memoir, and giving an account of the fhare that he had in conduct¬ ing the obfervations, M. Biot proceeds as follows. It is neceffary to confider the aCtion of terreftrial MAGNETISM. Chap. III. magnetifm under different points of view, correfpond- Theory. ing to the different claffes of the phenomena which it produces. 96 It we confider it firft in general, we find that it ^f£net'j'ni aCts on the whole furface of the globe, and that it ex- vvhoteVur- tends beyond it. This faCt, which Was doubted, has face of the been lately proved by M. Guy-Luffac, during his two globe, aeroftatic voyages. And if thefe obfervations, made with all the care poflible, have not {hewn the leaf! fen¬ fible diminution in the intenfity of the magnetic force, at the greateft height to which man can attain, we have a right to conclude that this force extends to an inde¬ finite diitance from the earth, where it decreafes, per¬ haps, in a very rapid manner, but which at prelent is un¬ known to us. If we now confider magnetifm at the furface even of the earth, we fhall find three grand claffes of pheno¬ mena which it is neceffary to ftudy feparately, in order to have a complete knowledge <~.f its mode of aCtion. Thefe phenomena are, the declination of the magnetic needle, its inclination, and the intenfity-of the magne¬ tic force, confidered either comparatively in different places or in themfelves, paying attention to the varia¬ tions which they experience. It is thus that, after having difeovered the aftion of gravity as a central force, its variation, refulting from the figure of the earth, was afterwards afeertained in different latitudes. The declination of the magnetic needle appears . to be that phenomenon which hitherto has more particular¬ ly fixed the attention of philofophers, on account, no doubt, of the affifiance which they hoped to derive from it in determining the longitude j but when it was known that the declination changes in the fame place, in the courfe of time, when its diurnal variations were remarked, and its irregular traverfing occafioned by different meteors, in a word, the difficulty of obferving it at fea, within one degree nearly, it was neceffary to abandon that hope, to confider the caufe of thefe phe¬ nomena as much more complex and abftrufe than had been at firft imagined. ^ In regard to the intenfity of the magnetic power Magnetic in different parts of the earth, it has never yet been Power h1' meafured in a comparative manner. The obfervations of M. Humboldt on this fubjedt have difeovered a very eqUator to remarkable phenomenon 5 it is the variation of the in- the poles, tenfity in different latitudes, and its increafe proceeding from the equator to the poles. The compafs, indeed, which gt. the departure of M. Humboldt gave at Paris 245 ofcillations in 10 mi¬ nutes, gave no more in Peru than 211, and it conftantly varied in the fame dire£tion 5 that is to fay, the num¬ ber of the ofcillations always decreafed in approaching the equator, and always increafed in advancing towards the north. Thefe differences cannot be aferibed to a diminu¬ tion of the force in the magnetifm of the compafs, nor can we fuppofe that it is weakened by the effb£t of time and of heat $ for after three years refidence in the warmeft countries of the earth, the fame compafs gave again in Mexico ofcillations as rapid as at Paris. There is no reafon to doubt the juftnefs of M. Humboldt’s obfervations, for he often obferved the ofcillatiohs in the vertical plane perpendicular to that meridian j and by decompofing the magnetic force in the Chap. Theory. in. M A G N p* Humboldt’ determina¬ tion of the magnetic "equator. the latter plane, and comparing it with its total aftion, which is exercifed in the former, we may from thefe data calculate its direction, and confequently the di- redtion of the needle (c). This inclination, thus calcu¬ lated, is found always conformable to that which M. Humboldt obferved diredtly. When he made his ex¬ periments, however, he could not forefee that they would be fubje&ed to this proof by which M. Laplace verified them. As the juftnefs of thefe obfervations cannot be contefted, we muft allow alfo the truth of the refult which they indicate, and which is the increafe of the magnetic force proceeding from the equator to the poles. s To follow thefe refults with more facility, it will be proper to fet out from a fixed term j and it appears natural to make choice for that purpofe of the points where the inclination of the magnetic needle is null, becaufe they feem to indicate the places where the op- pofite adlion of the two terreftrial hemifpheres is equal. The feries of thefe points forms on the furface of the earth a curved line, wThich differs very fenfibly from the terreftrial equator, deviating from it to the fouth of tne Atlantic ocean, and to the north in the fouth fea. M. Humboldt found this equator in Peru about 7® 1' S. Tat. which for that part of the earth places it nearly in the fpot where Wilke and Temounier had fixed it. The places fituated to the north of that point may be divided into four zones, the three firft of which, be¬ ing nearer the equator, are about 40 of latitude, while the latter, more extenfive and more variable, is 14 . So that the fyftem of thefe zones extends in America from the magnetic equator to 230 of north latitude, and comprehends in longitude an interval of about 5°°. The firft zone extends from 70 i' of fouth lati¬ tude to 2° 54'. The mean number of the ofcillations of the needle in the magnetic meridian in 10' of time is there 211,9 : no obfervation gives lefs than 211, or more than 214. From M. Humboldt’s obfervations ©ne might form a fimilar zone on the fouth fide of the magnetic equator, which would give the fame re- fults. The fecond zone extends from 2® 13' of fouth la- 30 15' of north latitude. The mean term of E T I S M. titude to j -j - the ofcillations is there 217.9: they are never below 220, nor above 226. The fourth zone, broader than the other two, ex¬ tends from 90 15' to 23° 8' of north latitude. Its mean term is 237 : it never prefents any obfervation be¬ low 229, nor above 240. We are unacquainted, in regard to this part of the earth with the intenfity of the magnetic force be¬ yond the latitude of 230 north ; and on the other hand, in Europe, where we have obfervations made in high latitudes, we have none in the neighbourhood of the equator j but we will not venture to compare thefe two claffes of obfervations, which may belong to different fyItems of forces, as will be mentioned hereafter. However, the only comparifon of refults, collected in America by M. Humboldt, appears to us to efta- blifh with certainty the increafe of the magnetic force from the equator to the poles ■, and, without w'ifhing to connect them too clofely with the experiments made in Europe, wTe mult remark, that the latter accord fo far alfo with the preceding as to indicate the phenomenon. If w7e have thus divided the obfervations into zones parallel to the equator, it is in order that we may more eafily (hew the truth of the fa£t which refults from them, and in particular to render the demonftration in¬ dependent of thofe fmall anomalies which are inevitably mixed with thefe refults. Though thefe anomalies are very trifling, they are however, fo fenfible, and fo frequently occur, that, they cannot be aferibed entirely to errors in the obfer¬ vations. It appears more natural to aferibe them to tne influence of local circurhftances, and the particular at¬ tractions exercifed by collections of ferruginous mat¬ ters, chains of mountains, or by the large mafies of the continents. One of them, indeed, having carried to the Alps the magnetic needle employed in an aerial excuriion, he found that its tendency to return to the magnetic meri¬ dian was conftantly ftronger in thefe mountains than it was at Paris before his departure, and than it has been found fince his return. 1 his needle, which made at Paris 83.9° in io' of time, has varied in the following manner in the different places to which it was carried. 3 C 2 P/aces fch Let HOC (fie. 2S.) be the plane of the magnetic meridian pafling through the vertical OC ; let OL be tlm direftion of the needle fituated in that plane, and OH a horizontal. The angle LOH will be the inclina¬ tion of the needle, which we Ihall denote by I. If F reprefent the total magnetic force which afts in the di- reftion OL, the part of this force which ads according to OC, will be F fine of I : but the magnetic orces which determine the ofcillations of the needle in any plane, are to each other as the fquares of the olcillations made in the fame time. If we denote them by M, the number of ofcillations made m 10 of time m the magnetic meridian, and by P, the number of ofcillations made alfo in io', in the perpendicular plane, we Ihajl have the following proportion: F fi I Pz from whence we deduce F ~ Sin. I == M* p* w The inclination then may be calculated by this formula* when we have ofcillations made in the fame planes. In like manner, by making a needle olcillate fucceffively in feveval vertical planes, we might determine the direction of the magnetic meridian. 99 . Terre ftnal magnetifm modified by local cir- eumitances. Places of Obfervation. Paris, before his departure, Turin, On Mount Genevre, Grenoble, Lyons, Geneva, Dijon, Paris, on his return, M A G N Number of Ofcillations in l o' of Time. 83 9 87.2 88.2 874 87 3 86. c 84-5 83.9 Thefe experiments were made with the greateft care, conjointly with excellent obfervers, and always employing the fame watch verified by frnall pendulums, and taking the mean terms between feveral feriefes of obfervations, which always differed very little from each other. It appears thence to refult, that the adfion of the Alps has a fenfible influence on the intenfity of the magnetic force. M. Humboldt obferved analo¬ gous effedls at the bottom of the Pyrenees; for example, at Perpignan. It is not improbable that they arofe- from the mafs of thefe mountains, or the ferruginous matters contained in them; but whatever may be the caufe, it is feen by thefe examples that the general aiffion of terreffrial magnetifm is fenfibly modified by local circumftances, the differences of which may be perceived in places very little diftant from each other. 4 his truth will be further confirmed by the following obfervations. , It is to caufes of this kind, no doubt, that we muff £ifcribe the diminution of the magnetic forces obferved in fome mountains 5 a diminution which, on the firff view, might appear contrary to the refults obtained du¬ ring various aerial voyages. This conjecture is fupported by feveral obfervations of M. Humboldt. By making his needle to ofcillate on the mountain of Guadeloupe, which rifes 338 toifes above Santa-Fe, he found it in Io' of time give two ofcillations lefs than in the plain. At Silla, near Caracas, at the height of 1316 toifes above' the coaft, the diminution went fo far as five of- cillations 5 and on the other hand, on the volcano of Antifana, at the height of 2467 toifes, the number of ofcillations in 10 minutes was 230 ; though at Quito it was only 218, which indicates an increafe of inten¬ fity. A fimilar effecff was obferved on the fummit of Mount Genevre, at the height of 800 or 900 toifes, as may be feen from the numbers already given ; and on this mountain M. Biot found the greateft intenfity of the magnetic force. He faw on the hill of La Super- ga, in the neighbourhood of Turin, an example of thefe variations equally ftriking. Obferving, with Vaf- fali, on this hill, at the elevation of 300 toifes, they found 87 ofcillations in 10 minutes of time. On the fide of the hill they had 88.8 ofcillations, and at the bottom, on the bank of the Po, they’ obtained 87.3. Though thefe refults approach very near to each other, their difference is, however, fenfible, and fully ftiews that their fmall variations muft be confidered as flight anomalies produced by local circumftances. This examination leads us to confider the intenfity of magnetifm on the different points of the furface of the globe, as, fubjecff to two forts of differences. One kind are general *, they depend merely on the fituation of the places in regard to the magnetic equator, and belong to a general phenomenon,, which is the increafe of the in- E T I S M. Chap. 11 r. tenfity of the magnetic forces in proportion as we re- Theory, move from the equator ; the other kind of variations, ~—v——' which are much fmaller and altogether irregular, feem to depend entirely on local circumftances, and modify either more or lefs the general refults. If we confider terreftrial magnetifm as the effeft of an attractive force inherent in all the material particles of t.'j globe, or only in fome of thefe particles, which ■we are far from determining, the general lav/ will be, the total refult of the fyftem of attraffion of all the par¬ ticles, and the fmall anomalies will be produced by the particular attraftions of the partial fyftems of the mam. netic moleculae diffufed irregularly around each' poiinj attractions rendered more fenfible by the diminution of the diftance. It now remains to confider the inclination of the magnetic needle in regard to the horizontal plane. It has been long known that this inclination is not every where the fame ; in the northern hemifphere the needle inclines towards the north ; in the fouthern towards the fouth ; the places where it becomes horizontal form the magnetic equator j and thofe where the inclination is equal, but not null, form on each fide of that equa¬ tor curved lines, to which the name of magnetic paral¬ lels has been given, from their analogy to the terreftri¬ al parallels. One may fee in feveral works, and parti¬ cularly in that of Lemounier, entitled Lois du Magne- tif/ne, the figure of thefe parallels, and their difpofition on the face of the earth. roo It evidently refults from this difpofition, that the Inclination inclination is in proportion as we recede from the magne- ^ ^ tic equator j but the law which it follows in its increafe, creWs Ts" has not yet, as far as appears to us, been given. To we proceed afeertain this law, however, would be of great utility 5fro:ri 1:116 for the inclination feems to be the moft conftant of aHmagnet^c the magnetic phenomena, and it exhibits much fewer effaator anomalies than the intenfity. Befides, if any rule well confirmed could be difeovered on this fubjeft, it might be employed with advantage at fea to determine the la¬ titude, when the weather does not admit an obfervation of the fun; which is the cafe in various places during the greater part of the year. We have fome reafon to expeft this application, when we fee the delicacy of that indication in the obfervations of M. Humboldt, where we find 35' 6" of difference between two towns fo near each other as Nifmes and Montpellier. Thefe motives have induced us to ftudy with great intereft the feries of obfervations made by M. Humboldt in regard to the inclination $ and it appears to us that they may be reprefented very exactly by a mathematical hypothe- fis, to which we are far from attaching any reality in it- felf, but which we offer merely as a commodious and fure mode of connefting the refults. To difeover this law, we muft firft exaffly deter¬ mine the polition of the magnetic equator, which is as an intermediate line between the northern and the fouthern inclinations. For this purpofe we have the advantage of being able to compare two direft obferva* tions, one of La Peroufe, and the other of M. Hum¬ boldt. The former found the magnetic equator on the coafts of Brafil at io° sf of fouth latitude, and 250 25' of weft longitude, counted from the meridian of Paris. The latter .found the fame equator in Peru at 70 1' of fouth latitude, and 8o° 41' of weft longitude, alfo rec¬ koning from the fame meridian. Thefe data are fuffi- cient Chap. ri. M A G N E T I S M. Theory. cient to calculate tire portion of the magnetic equator, fuppofjng it to be a great circle of the terreftrial fphere; an hypothefis which appears to be conformable to ob- fervations. The inclination of this plane to the ferref- trial equator is thus found to be equal to lo° 58' 56", and its occidental node on that equator is at 1 20° 2' 5" weft from Paris, which places it a little beyond the continent of America, near the Galhpagos, in the South fea ; the other node is at 590 57'' 55" to the eaft of Pa¬ ris, which places it in the Indian feas. (d) “ We do not give this determination as rigoroufly exa£t; fome corre£!ions might no doubt be made to it, had we a greater number of obfervations equally pre- cifej but we are of opinion that thefe corre&ions would be very fmall, and it will be feen afterwards that, in¬ dependently of the confidence which the two obferva¬ tions w’e have employed deferve, we have other reafons for entertaining this opinion, (e) “ It is very remarkable that this determination of the magnetic equator agrees almoft perfeftly with that given long ago by Wilke and Lemounier. The latter in particular, vcho for want of direft obfervations had difcufled a great number of correfponding ob¬ fervations, indicates the magnetic equator in Peru-to¬ wards 70 20' of fouth latitude, and M. Humboldt found it in the fame place at 7° befides, Lemounier’s chart, as well as that of M. Wilke, indicates for the inclination of the magnetic meridian about ii°, and they place the node about 140° of weft longitude, rec¬ koned from the meridian of Paris. “ Can it be by chance, then, that thefe elements, found more than 40 years ago, fhould accord fo well with ours founded on recent obfervations ? or does the inclination of the magnetic equator experience only very fmall variations, while all the other fymptoms of terreftrial magnetifm change fo rapidly ? We fhould not be far from admitting the latter opinion, when w’e Theo confider that the inclination of the magnetic needle has v“ changed at Paris 30 in 60 years fince it has been ob- ferved *, and that at London, according to the obferva¬ tions of Mr Graham, it has not changed 2° in 200 years, while the declination has varied more than 20° in the fame interval, and has paffed from eaft to wTeft : but on the other hand the obfervation of the inclination is fo difficult to be made with exadtnefs, and it is fa. ffiort a time fmce the art of meafuring it with pre- cifion was known, that it is perhaps more prudent to abftain from any premature opinion on phenomena, the caufe of which is totally unknown to us.” To employ the other obfervations of M. Hum¬ boldt in regard to the inclination, the terreftrial lati¬ tudes and longitudes reckoned from the magnetic equa¬ tor were firft reduced. The latter, being reckoned from the node of that equator in the South fea, M. Biot firft perceived by thefe calculations that the pofition of that plane determined by preceding refearches was pretty exadl 5 for fome of the places, fuch as Santa-Fe and Javita, wffiere M. Humboldt obferved inclinations almoft: equal, were found nearly on the magnetic parallel, though diftant from each other more than 6o° of longitude. When thefe reductions were made, M. Biot en¬ deavoured to reprefent the figns of the inclinations ob¬ ferved, and to leave as little to chance as poffible. He firft tried a mathematical hypothefis conformable enough to the idea which has hitherto been entertained in re¬ gard to terreftrial magnetifm. He fuppofed in the axis of the magnetic equator, and at an equal diftance from the centre of the earth, twTo centres of attraftive forces, the one auftral and the other boreal, in fuch a manner as to reprefent the two oppofite magnetic poles of the earth. He then calcu¬ lated the effeift which ought to refult from the adfion of (d) To calculate this pofition, let NEE' (fig. 29.) be the terreftrial equator j NHL the magnetic equator, fuppofed alfo to be a great circle, and HL the two points of that equator, obferved by Meffrs Humboldt and La Peroufe. The latitudes HE, LE', and the arc EE', which is the difference of longitude of thefe two points, is known : confequently, if we fuppofe HE=£, LE'—EE'=^, EN~.r, and the angle ENHzrr/, we lhall have two fpherical triangles NEH, NE'L, which will give the twm following equations: „ tang, b cot. 7/ „ . . tang, b' cot. y fin. *=-*-_ 1 fin. (y+tO=—^ J-', from which we deduce Qv+tQ tang. V fin. x. tang, b ’ and developing - , y. tang, b fin, v cof. V cot. „r= — yr -r. • tang, b' iin. ® Let us now take an auxiliary angle fo that we may have tang, b fin. v . n . tang. (£>——2 — and we lhall have 6 r tang, b' 5 fin. v fin.

and by putting for x, y and a, their values, cof. u; r fin. u fin. K r j tang. <6 tang. /3: /D« + D3\, co- K(d/3—D3/ D'*=:H(I-j-2K cof. w-f-K1) j D*=r:r*(I—2K cof. «-pKz) j w'hich gives the fyftem of the two equations, fin. u cof. u- /ty3±D3\, 'KVd'3—DV /B’3-{-D3\ _ (I-f-2K cof. a+KT+CI—cof. «+K*)V AD'3—D3J~ (I-1-2K cof. a + K1)"—(I—-K cof. a-f-K) Thefe equations determine the diredion of the mag¬ netic needle in regard to each point M, the diftance of which from the magnetic equator is known; but it is feen that this direftion depends on the quantity K, which reprefents the diftance of the magnetic centres from the centre of the earth •, this diftance being ex- prelfed in parts of the terreftrial radius, w’e muft there¬ fore firft determine this quantity from obfervations. To do it in the manner of approximation, and thus acquire a firft idea of the value of K, M. Biot chofe an obfervation made by M. Humboldt at Carichana in 6° 3 4' 5" of north latitude counted from the terreftrial equator, and 70° 18' weft longitude reckoned from the meridian of Paris, which gives 140 52' 25" of longitude counted from the magnetic equator, and 48° 51' 53'' of weft longitude, proceeding from the node formed by that equator wfith the equator of the earth. PAe inclina¬ tion of the magnetic needle was obferved in that place by M. Humboldt in the month of Mefildor, year 8, and found to be, equal to 33,78° of the centigrade divi- fion. A comparifon of this refult with the other ob¬ fervations of M. Humboldt, (hew's that it may indeed be confidered as agreeing to that latitude. 3 To make ufe of it, M. Biot fucceffively gave to K different values in the formula; he calculated the in¬ clinations refulting from that latitude ; and comparing thefe refults with that which M. Humboldt really ob¬ ferved, the progrefs of the errors naturally led him to the moft proper fuppofition. The following is a table of thefe trials. Values of K. Inclinations of the Needle. Errors. K~I 7-730 26.04 K=o,6 18.80 14.97 K=o.5 22.04 11.73 K~o. 2 29.38 4.39 K=o.i 3°-64 Kzro.oi 31-04 2.73 K=O.OOi 31.07 2.7 The firfl: value of K would place the centre of the magnetic forces at the furface of the earth and the poles of the magnetic equator. It is feen that this lup- pofition cannot be admitted, becaufe it would give ah increafe of inclination much lefs rapid than that indi¬ cated by obfervations. The cafe is the fame with the following Chap. III. M A G N Theyry. following refults, which place the centres of aftion on the terreftrial radius at different diftances from the centre of the earth j but it is feen alfo in general, that they approach more and more to the truth in proportion as this didance becomes lefs j which evidently {hew7s that the two centres of action of the magnetic forces are fituated near the centre of the earth. All the other obfervations of M. Humboldt would alfo lead to the fame confequence. r The molt proper fuppolition 'would be to make Iv •null, or fo fmall that it w'ould he needlefs*to pay atten¬ tion to it 5 which amounts to the fame thing as to con- fider the tw'o-centres of a&ion placed, as we may fay, in the fame molecula. The refult, indeed, obtained in this manner is the moft exaft of all •, it is =31.0843° \ this value is ftill a little lefs than that which M. Hum¬ boldt obferved, and the difference is =2.69 ; but it muff be confidered alfo that the formula from which we derive thefe values fuppofes the pofition of the mag¬ netic equator is perfeftly determined ; but it may not be fo with the utmoff exa&nefs, according to the two only obfervations of La Peroufe and Humboldt, which we have employed. It is therefore by ftudying the progrefs of the formula, and comparing it with the ob¬ fervations, that we are able to appreciate it juflly j af¬ ter w7hich wTe may think of remedying the fmall errors with wntich it may be accompanied. To obtain the refult here mentioned, and which is, as it were, the limit of all thofe w'hich may be obtained by giving to K different values, it is to be remarked that the quantity /D'3-fD3N \D'3—DV’ or, K(r + 2K c°r- a+K’pXI—2K cof. 77+K*)^ (I-f 2K cof. 0-f K*)^—(I—2K cof. w-l-K2)* becomes — when K is null; but by applying to it the o methods of known quantities, it will be found that its value in this fuppofition is really determinate and = L__. By fubftituting this in the formula we 3 coi. u J ihall have tang. /3=- lin. cof. 3 cof. « equation which may be reduced to this form : fin. m which will eafily give the value of and when this value is known, we (hall have the inclination I, by the following formula : 1= IOO-}-W—/3, which will ferve throughout the whole extent of the two hemifpheres. From the progrefs thus traced out, it is feen that the preceding formula is not merely an empyric confiruc- tion of obfervations on the contrary, it is totally in¬ dependent, and only fuppofes the inclination of the E T I S M. magnetic needle to be produced by a magnet infinitely fmall, placed in the centre of the terreftrial furface ; but by calculating from this formula the inclination for the different latitudes, M. Biot found precifely the fame numbers as M. Humboldt obferved either in Eu* rope or America j and it is not his obfervations only that are reprefented in this manner j but thofe which have been made in Ruffia, and at Kola in Lapland, during the laft tranfit of Venus, are alfo comprehended under the fame law. It is feen that the refults of the formula deviate very little from the obfervations ; but thefe difference*; may be rendered ftill fmaller. By examining, indeed, the progrefs of the errors, it is feen that the numbers given by calculation are a little too fmall in America for the low latitudes, and a little too great for the high lati¬ tudes, which {hews that the whole may be allowed, with fome flight modifications, either by changing,, however little, the node and inclination of the magne¬ tic equator, which two obfervations cannot determine with the utmoft exaftnefs, or by difplacing ever fo little our fmall magnet, leaving, however, its centre in the plane of the magnetic equator, and placing it in fuch a manner that it {hall be a little nearer America than Europe. It is by thefe obfervations themfelves, wEen we {hall have a greater number, that wre muft be guided in thefe fmall corredlions. In a wmrd, it muft; not be expefted that we can re- prefent in a rigorous manner, by a mathematical law, all the inclinations obferved 5 for the phenomenon of the inclination, though more regular than the other magnetic effects, is not free from fome anomalies; this tnay be eafily feen on conftrufling the curve given by the obfervations themfelves. Thus, for example, the inclination obferved at Popayan is o° 10' greater than at St Carlos del Rio Negfo, though the magnetic la¬ titude of the latter is 30 7' greater. The cafe is the. fame v.'ith obfervations made at Javita and Santa Fe. Other anomalies are difcovered in the comparative pro¬ grefs of the obfervations and formula. This is the cafe in regard to Carichana, St Thomas de la Guyane, and Carthagena. The increafe of the inclination from the firft to the fecond of thefe points is by no means in har¬ mony with the increafe from the fecond to the third ; and if we compare together the intenfities obferved in thefe different places, the anomalies they exhibit an¬ nounce in fome meafure thofe which the inclination ough*. to experience. The caufe of tbefe anomalies becomes evident from what has been already remarked 5 they are merely the effetft of local circura(lances, and arife from the fmall fyftems of attraefion by which the general phenomena are modified. This muft be fenfible in particular for that part of America which M. Humboldt travelled over, and which is traverfed throughout its whole length by the grand chain of the cordillera of the An¬ des. It is alfo in thefe places that the mod confider- able differences exiit. Popayan, for example, is fitaat- ed near the volcanoes of Sotara and Pourace ; it is joined to bafaltic mountains abounding with magnetic iron. Near Sulumito, to the eaft of Popayan, thefe bafaltic columns have very linking poles : in like man¬ ner Mexico is fituated at the height of 1160 toifes on the ridge of the grand cordillera of Lenfchlitlan 5 the ground there is covered with porous bafaltes and amyg¬ daloid s. s M A G N E daloids, wliicli ara almofi; all charged with magnetic iron. Muft not all thefe caufes have a fenfible influ¬ ence on the inclination of the magnetic needle 5 and muft not the different difpofitions of the ferruginous maffes. Or their change of ftate, in confequence of the adlicn of nature, produce alfo variations ? M. Hum¬ boldt made on this point a decifive obfervation : the earthquake of the 4th of November 1799 changed at Cumana the inclination of the needle. On the iff of November it was 430 65'; on the 7th it was only 420 75', and ten months after it returned t© 42° 85', but it did «ot regain its former value ; the intenfity of the magnetic force was not changed by the effedt of this earthquake. It is proved, then, by thefe obfervations, that local circumftances may have on the inclination a fenflble in¬ fluence 3 and this influence is remarked in the countries traverfed by M. Humboldt. It appears, therefore, that the mathematical hypo- thefis which we have employed really exprefles the law of nature, at leaf! to the north of the magnetic equator ; for, though the firft refults obferved towards the fouth feem to bend to it alfo, the uncertainty under which we are, in regard to the true caufe of tHefe phe¬ nomena mufl. flop our conjedlures, and prevent us from extending too far the confequences of the laws which we obferve (f). From the preceding refults, we may calculate the points where the axis of the magnetic equator pierces the terreftrial furface 3 for their latitudes are equal to the complements of the obliquity of that equator, and their meridian is at ioo° of longitude from its nodes. The north magnetic pole is found alfo at 790 T4" of north latitude, and at 30° 2' 5" of longitude weft from Paris, which places it to the north of America. The other magnetic pole, fymmetric to the preceding, is lituated in the fame latitude fouth, and at 149° 67' 5$" of longitude eaft from Paris, which places it amidft the eternal ice 3 indications entirely analogous to thofe of Wilke and Lemounier. If we could reach thefe poles, the cortipafs would be feen vertical 3 but if any confidence can be placed in the law which we have difcovered, this wmuld be the only difference which wrould be obferved in regard to the inclination, and we ftiould be ftill as far diftant as in Europe from the real centres which produce it. This refult might appear to be of fuch a nature as to diminifti the intereft one might have in vifi- ting thefe horrid regions, had we not alfo the hope of difcovering there new phenomena in regard to the intenfity of the magnetic force, and the influence of me¬ teors. Thefe confequences do not entirely accord with the opinion pretty generally received, and which afcribes T I S M. Chap. III. the increafe of the magnetic effects towards the north Theory. to the great quantity of iron difperfed throughout thefe'—'“'T regions 3 but it appears to us that this opinion is not agreeable to the truth. The cordillera of the Andes contains an enormous quantity of magnetic iron 3 the native iron of Chaco, that problematic naafs analogous to that of Pellas, and thofe of Nacatares in Mexico, is found even under the tropics. On feeing the inclinations of the compafs fo exafily reprefented in the hypothefis, they endeavoured to dif- cover whether it could be applied to the intenlities ob¬ ferved by M. Humboldt 5 but they found that it did not apply. It gives indeed, an increafe of the magnetic forces from the equator to the pole ; but this increafe, which at firft is too flow, becomes afterwards too rapid. M. Biot has not yet been able to try whether the fmall difplacement of the terreftrial magnet will contribute towards reprefenting them better 3 but it muft be re¬ marked, that the feries of the intenfities is extremely whimfical, and contains an infinite number of anoma¬ lies, fo that local phenomena may have on this pheno¬ menon a much more fenfible influence than on the in¬ clination. On reviewing the refults which have been given, it is feen that we have firft determined the pofition of the magnetic equator by direct obiervations, which had never been done before ; we have then proved that the magnetic force increafes in proceeding from that equa¬ tor to the poles 3 in the laft place, we have given a ma¬ thematical hypothefis, which, when reduced to a for¬ mula, fatisfies all the inclinations hitherto obferved. Suppofing, as has been done in this formula, the fmall corrections of which it is fufceptible, its utility becomes evident, either for making known, in the courfe of time, the variations which may take place in the aftion of the terreftrial magnetifm, or to afeertain or even forefee the value of the inclination, which in a great many cafes is of the utmoft importance. For example, near the magnetic equator, the increafe or diminution of the inclination will indicate to a veffel on a voyage whether Ihe has gained or loft in latitude by currents. This knowledge of the latitude is fome- times as important as that of longitude. On the coafts of Peru, for example, the currents tend from Chiloe to the north and north-eaft with fuch force, that one may go from Lima to Guayaquil in three or four days, and two, three, and fometimes five months are neceffary to return. It is confequently of the greateft importance for veffels coming from Chili which ftretch along the coaft of Peru, to know their latitude. If they go be¬ yond the port to which they are bound, they muft work to the fouthward, and every day’s progrefs requires of¬ ten a month of return. Unfortunately, the fogs which prevail during four or five months on the coaft of Peru, prevent (F) Obfervations made at the Cape of Good Hope, Cape Horn, and New Hplland, by different navigators, are very exactly reprefented by the above-mentioned formula 3 and it follows, that it extends alfo to the auftral hemifphere. We hope foon to have numerous and very exadft obfervations on the inclination of the needle in that part of the earth. But we have thought it our duty to add to our table fuch refults as relate to it, and which we have been able to procure. We have inferted alfo two obfervations on the intenfity, made with great care by M. Roffel, during the expedition of d’Entrecafteaux, which are very important, as they prove that the terreftrial magnetic force increafes alfo in the auftral hemifphere in proportion as one removes from the equa¬ tor. Z Chap. III. MAGNETISM. Theory, prevent navigators from diftinguifliing the form of the —V coaft $ nothing is feen but the fummits of the Andes, and that of the peaks which rife above that ftratum of vapours •, but the figure of it is fo uniform that pilots fall into miftakes. They often remain i2ori5 days without feeing the fun or ftars, and during that interval they come to anchor, being afraid of overlhooting their port; but if we fuppofe that the inclination of the mag¬ netic needle in the ports to the fouth of Lima is known, for example at Chancay, Huaura, and Santa, the dip¬ ping needle will fliow whether it be, in regard to Lima, to the fouth or to the north. It will (how at the fame time oppofite what point of the coaft a veflel is 5 and this indication will be attended with more exadilnefs than one could hope for, becaufe in thefe feas the in¬ clination varies wdth extraordinary rapidity. M. Hum¬ boldt, to whom we are indebted for thefe remarks, obferved in thefe feas the following values. and thofe which M. Humboldt has lately made in A- 393 Theory. Places. Huancey Huaura Chancay South Latitudes. io° 4' 11 3 i1 33 Inclinations. 6.8o° 9.00 io-35 menca. Thefe obfervations prove that the error of three or four degrees in the inclination in thefe feas would pro¬ duce but a degree of error in latitude ; and, on account of the tranquillity of the Pacific ocean, the inclination may be obferved to wdthin a degree nearly. Frequent inllances of fuch refults may be feen in books of voy¬ ages. In like manner, if one knew exactly the incli¬ nation at the mouth of the Rio de la Plata, it w-ould be very ufeful to navigators, who, when the Pamperos blow-, remain 15 or 18 days without feeing the hea¬ venly bodies, and go on different tacks for fear of lo- ling the parallel of the mouth of that river. In a word, the inclination may indicate alfo the lon¬ gitude in thefe feas 5 and this method may be employed when others fail. A veffel which fails there in the di- reftion of a parallel could not find its longitude either by a chronometer or the declination of Halley, unlefs a ftar could be feen, in order to take an horary angle or the magnetic azimuth. The dipping needle then throws light on the longitude amidft the thickeft fogs. We point out this method as one of thofe which have only a local application j but hitherto little attention has been paid to it. Thefe ideas may be extended and reflified by able navigators. In general, if the inclination of the needle, and the law wre have-tried to eftablilh, could be depended on, to obferve the inclination and the terrellrial latitude would alfo be fufficient to determine the longitude j but we have not yet examined the extent of the errors of which this method may be fufceptible, and confequently we confine ourfelves to a mere indication of it. The phenomenon of the inclination has in maritime ©bfervations a peculiar and very remarkable advantage, namely, that of not being fubjeft to thofe great pro- greffive variations which affeft the declination. With¬ out repeating what we have already faid above on the luppofed conftancy of this phenomenon, it may be re¬ marked that-our formula even affords a new proof that it may comprehend in the fame law the obfervations made many years ago in Lapland, thofe which Lacaille brought back in 1751 from the Cape of Good Hope, Vol. XII. Part I. In fhort, when we tried to reprefent the inclinations in different latitudes by the fuppofition of a magnet in¬ finitely fmall, very near the centre of the earth, and perpendicular to the magnetic equator, we did not pre¬ tend to confider that hypothefis as any thing real, but only as a mathematical abltradlion ufeful to conne _ Daniel Bernoulli contrived an ingenious dipping It depends on the following principle. Ii a dipping needle be made by an ordinary workman, and balanced dipping with fome care, fo that when impregnated with mague-needle, tifm, it may fliow nearly the true dip, and if it be touched, and the dip obferved, then its magnetifm de- ftroyed, and its balance fo altered, that without any magnetifm it wdll take nearly the inclination of tbe true dip •, and if it be then touched again, giving it the fame polarity as it had before, it is evident that it will now approach very nearly to the true dip, fince, by its want of perfect equilibrium it was deranged only a few de¬ grees from its proper direction. If the fecond obferva¬ tion of the dip fhould, from the inaccurate formation of the needle, differ confiderably from the firff, the opera¬ tion mult be repeated ; and in this third obferva¬ tion there will very feldom be an error of more than half a degree. Bernoulli’s inftrument is as follows. A very light graduated brafs circle EFG (fig. 32.) is fixed on one fide of the dipping needle, fo as to be concentric with its axis, and the whole is balanced with as much nicety as may be, before being impregnated, CD is a very light index fixed to the axis in fucha manner as to turn on it with fome difficulty. By this the equilibrium of the needle will be deftroyed. If great care has been taken in forming the inftrument, and if it has been ba¬ lanced with great accuracy, it will, by the addition of the index, be made to fettle fo as to have the index perpendicular to the horizon, at whatever degree of the circle the needle may happen to point. As fuch accu¬ racy, however, is fcarcely to be expelled, let the in¬ dex be fet to feveral different degrees of the circle, and note the inclination taken by the needle before being magnetized, correfponding to each pofition of the index, and let all thefe be written down. For example, let us fuppofe that when the index is at 50°, the needle in¬ clines 46° from the horizon $ if we obferve at any place that the needle, after being magnetized, inclines 46°, when the index is at 50°, we may be fure that the for¬ mer is the true magnetic dip at that place, as the needle is not deranged by the magnetifm that has been given it, from the fituation it would affume by gravity alone. We ufually know fomething of the dip that may be ex¬ pelled at any place. If we fet the index accordingly, and if the needle does not then point out the expefted dip, change the pofition of the index, and again obferve the dip } examine whether this fecond pofition of the index and the fecond dip form a correfponding pair of numbers, fuch as we have written down j if they do, we have got the true dip, but if not, another pofition of the index muft be tried. Thus, by noticing whe¬ ther the agreement of this laft pair be greater or lefs than that of the former pair of numbers, we learn whe¬ ther we are to change the pofition of the index in the I0(- fame or in the oppofite diredlion. Analogy A clofe analogy has long been remarked between thebetween phenomena of magnetifm and thofe of induced eledlrici-electricity ty, efpecially thofe of attraction and repulfion. The me-“mitilasne chanical compofition of thefe aClions produces a directive power and polarity, both in eleCtrical and magnetical bodies. It is eafy to form an eledtrical needle that will arrange itfelf with refpedt to the overcharged and under¬ charged ends of a body eledtrified by pofition, juft as a ,3 D 2 magnetic 396 M A G N ] ( Theory, magnetic needle arranges itfelf with refpeft to the mag- ' net. A flick of fealing wax may be touched in a manner fimilar to the double magnetic touch, fo as to acquire poles of confiderable force, and very durable. Again, melted fealing wax, when cooled in the neighbourhood of a po- litive and negative eleftric, acquires permanent poles, juft as a red hot fteel bar acquires them by being quenched near a magnet. Laftly, lightning fometimes gives polarity to needles, fometimes deftroys it, and fometimes reverfes their polarity. From thefe various circumflances of refemblance, fome have luppofed that both phenomena originate from the fame caufe, but there are feveral cireumftances which ftiow their original caufes to be different. Thus, we find that eleftricity is common to all bodies, and can be excited or induced on all in a degree that is pretty nearly equal. Magnetifm, on the contrary, though from Coulomb’s experiments, it appears in fome degree to affeft all terreftrial bodies, afts, however, very imperceptibly on all but iron and its compounds. The adtion of lightning muft not be confidered as a proof of their identity, fince that is accompanied with a great degree of heat, and we have already feen that this power, under favourable circumftances, is a very ailive agent, both in producing and deftroying magne¬ tifm. Again, there is nothing in magnetifm like a' body being entirely overcharged, or entirely under¬ charged, as in eledlricity ; but a magnetic body having two poles, muft always be overcharged at one extremi¬ ty, and undercharged at the other. There is nothing in magnetifm refembling that inconveivably rapid mo¬ tion which we fee in eledhicity. In fine, the only per- fedl refemblance is between the induced magnetifm of common iron, and the induced eledlricity of a conduc¬ tor. On the arguments that have been employed for and agjrnft the identity of magnetifm and ele&ricity, eur readers may confult Van Swinden, Sur I'Analogie de I'Eletlricite, et du Magnetifme, and a trail by iEpinus De Similitudine EleBricitatis et Magnetifmi. Some late experiments of Ritter tend to fliow a greater analogy than has yet been fuppofed, between magne¬ tifm and that modification of eleilricity which we call galvanifm. 107 Mr Ritter’s firft experiments with the magnet were Ritter’s ex-on frogS> jje foun(J that a magnetic iron wire, with gemnents. anotj1€,r not magnetic, excited a galvanic palpitation in thefe animals. Prefently he ob%ved, that the fouth pole excited ftronger palpitations, and the north pole weaker, than the iron not magnetic. Having con- ftantly noticed, that the metals moft fufceptible of oxi¬ dation excited the ftrongeft palpitations, he inferred, that the fouth pole poffeffes a greater affinity for oxygen than Ample iron, and the north pole lefs. This fuppofition he confirmed by means of feveral chemical re-agents. He placed a magnetic iron wire on pieces of glafs in a plate of earthen w^are, and pour¬ ed upon it a very weak nitric acid. The fouth pole was attacked by the acid much more powerfully than the north ; and was foon furrounded by a depofition of oxygen, the quantity of which greatly exceeded that of the other pole. The different oxidability of the magnetic pole* is very well exhibited likewife, by taking three fmall bottles of equal fize, filled with water, either pure or flightly acidulated, and putting into one the fouth polar end of t T I S M. Chap. III. a magnetic wire, into a fecond the north polar end of Theory, a fimilar wire, and into the third the end of an equal —v— wrire not magnetic *, the fouth pole will firft begin to depofit oxide, the unmagnetic iron a little after, and the north pole laft. This experiment requires confide¬ rable care. The furface of the water muft be covered with very frefti oil of almonds, to exclude all accefs of air. Care muft be taken too, that one of the bottles is not more expofed to the fun than the others, becaufe light accelerates oxidation. Ritter convinced himfelf of this by diredl experiments ; expofing two iron wires in water to the fun, but covering one of the phials with black paper, when that in the phial left uncovered was oxidated much more quickly. If infufion of litmus be fubftituted inftead of the wa¬ ter in the three phials in the preceding experiment, the relative oxidations will be the fame, but they will be attended with a change of colour, (bowing that an acid is produced proportional to each oxidation ; fo that the fouth pole not only undergoes the greateft oxidation, but likewife reddens the infufton of litmus moft. The a6lion that takes place in this experiment is very feeble, and frequently requires a week to produce a diftinfl ef¬ fect ; and indeed to accelerate it fo much as this, it Is neceffary to add, previoufly to the infufion, as much acetic acid as will incline it to red, without completely changing its colour. The infufion reddened in this ex¬ periment refumes its blue colour on expofure to the air ; but we muft not hence conclude, that the acid pro¬ duced by the aftion of the magnet is very volatile, for infufion of litmus reddened by phofphoric acid, or any other, exhibits the fame phenomenon. The following experiment exhibits fome things pecu¬ liar, and therefore we (hall give it more at large. , It has not been repeated, but the harmony of its refults is in favour of its accuracy. Sixteen magnetic wires, of equal fize and power, were placed in fix veffels, all equally full of a mixture of one part nitric acid, and 36 parts water, in the following manner : in the firft glafs were placed two wires, one with the north pole immerfed in the fluid, the other with the fouth, and not more than half a line afunder : in the fecond, the fame, but the wires an inch and three-fourths apart : in the third and fourth were each three wires, writh the fouth poles of all immerfed, but their diftances in the two glaffes different, as in the firft and fecond : in the fifth and fixth were wires fimilarly arranged, but with the north poles immerfed. Different quantities of oxide wrfere gradually depofed, and to exprefs the whole in few words, we will call the fouth pole S, the north pole N, their greater diftance^, and their lefs />, and we will exprefs the order of oxidations as follows: SN(§-"^5’ SN/)-^3 S^-^3 On the nineteenth day it was obferved, that the lofs of fluid by evaporation had not been equal in all the veffels, but took place in the inverfe order of the oxidations. All the magnetic wires were weakened in power; NS^ leaft ; NS/> more : of the wires 3 S/>, two had loft lefs power than the third ; and in like manner 3 S^, 3 3 N^, had each two left more powerful than the third ; the ftrongeft: were equal to NSj-. In another experiment, where two little veffels filled with infufion of litmus were employed, one of them containing two magnetic wires, the fouth poles of which, were immerfed in the fluid ; the other two fimilar wares, of MA-G^E T 1 S . Plate (* C’ Chap. III. Theory, of which the oppoiite poles were immerfed j the oxida- _v tion was greateft in the latter veflel. The analogy between galvanifm and magnetifm is flill farther proved by other experiments of Ritter on ga/vani-z/ng metals, which he does by placing them in a dream of galvanic fluid proceeding from a ftrong pile. He found that a golden needle thus galvanized and ba¬ lanced on a pivot, exhibited, like a magnetized iron needle, both dire&ive power and horizontal inclination. Some late experiments of Ritter, referring Hill more dire&ly to the analogy between magnetifm and galva¬ nifm, were communicated to the Royal Academy of Sciences of Munich, and the following are their gene¬ ral refults. 1. Every magnet is equivalent to a pair of heteroge¬ neous metals united together •, its different poles repre- fent as it were different metals. 2. Like them, it gives electricity ; that is to fay, one of the two poles, the pofitive electricity, and the o- ther the negative. 3. By following the fame procefs, a certain number of magnets, as well as a certain number of pairs of metals, afforded eleCtricity j and in this manner the eleCtricities afforded by the poles of different magnets, have been fuccefsfully indicated by the eleCtrometer. 4. By means of thefe eleCtricities, one of thefe bat¬ teries of magnets, accordingly as it is more or lefs ftrong, produces upon dead and living bodies, all the phenomena which are produced by a pile of Volta, of the common kind, and of the fame force. 397 5. The experiments W’hich prove this, fliow, that in Theory, magnetized iron, the fouth pole gives pofitive eleCtrici- ty, and the north pole negative eleCtricity j but that on the contrary in magnetized fled, the north pole af¬ fords the pofitive, and the fouth pole the negative. 6. ihe fame inverfe difpofition is alfo obferved with regard to the polar oxidability of the magnetized body in which this change is produced by magnetifm. In magnetized iron the fouth pole is moft oxidable, and the north pole leaft ; whereas in magnetized fled the north pole is moft oxidable, and the fouth leaft. 7. Mr Ritter thinks, that by confidering the earth as an immenfe magnet, thefe refults might ferve to ex¬ plain various phenomena of nature, fuch as the phyfical difference between the two hemifpheres, the aurora borealis and aurora auftralis. In fad, after what has been juft ftated, the earth confidered as a magnet, may be taken as an equivalent to an immenfe pile of Volta, of which the poles are on one fide fufficiently clofed by the waters of the ocean. And the aCtion of this pile muff produce, and has produced the greateft chemical changes in the materials of the earth •, changes which * muff have differed according to the poles ; and of which pile the poles at the other extremity have always fuch an abundance of detiricity as to caufe its fplendour to appear by radiations in the vaft fpaces of theheavens*. The foregoing experiments appear to prove that mag-Nicbolfon's netifm has fome effedt in producing chemical changes, Journal. and thence we may infer that perhaps it would not be Xv’ altogether inadlive in the animal economy. MAGNETISM. Erratum.—Page 376, column 2d. line 19. in fome copies, for without its being neceffary to obferve that, read without its being neceffary to rub them with the upper pair. When magnets of greater force are defired. INDEX. Action, magnetic, law of, N° 80, 89 inveftigated by Lambert, 83 by Robifon, 84 j£.pinus'ls method of touching bars, 55 theory of magnetifm, 79 Ancients, opinions of, refpedfing the caufe of magnetic attradlion, 70 Apparatus, magnetical, p. 362 Armature of magnets, N° 13 AttraBion, magnetic, p. 368 between iron and the magnet neutral, N° 27 AttraBion, magnetic, not fenfibly di- minifhed by interpofition of non- ferruginous bodies, 28 how ufually mea- fuied, 29 increafed by iron, 31 by an increafed weight, 32 explained, 8 5 Axis of a magnet, 7 B. Rertiou/iPs dipping needle, I0f Biot's obfervations on terreftrial N’5' magnetifm, 95 C. Canton's method of touching bars, 54 of making artificial magnets, 61 Communicative piece of money, 39 Cette's axioms refpedting the magne¬ tic declination, p. 366 Coulomb's experiments on univerfal magnetifm, N° 36 method of making artificial magnets, . 57 theory of magnetifm, 103 method of finding the magnetic dip, 95 D. Declination, magnetic, 3 varies, 19 tables of, P* 3^4 axioms refpedling, 366 Dial, magnetic, N* 42 Dip, magnetic, tables of, p. 367 diminifhes as we af- cend above the earth, 5 366 Dip, magnetic, Coulomb’s method of afeertaining, N° 95 Dipping of the magnet, 4 needle, 15 Bernoulli’s 105 DireBive power, what, 2 explained, 87 Divining circles, 43 Duhamel's method of touching bars, 53 E. Earth, magnetifm of, firft rationally explained by Gilbert, 71 illuftrated, 73 objection to an- fwered, 94. EleBricity and magnetifm, analogy between, J06 Equator of a magnet, 7 magnetic, determined by Humboldt, 9& Euler's theory of magnetifm, 77 Experiments illuftrating magnetic po¬ larity, _ P* 36.3 on magnetic attraction, 368 repulfion, N° 34 entertaining, ^ 37 Experiments, .'?98 . Experiments, Ritter’s N° 107 F. Forces, magnetic, pifture of, 85 G. Galvanifm and magnetifm, analogy between, 107 Gilberts theory of magnetifm, 71 proofs of, 7 5 H. Hawkjbee's attempts to inveftigate the law of magnetic adlion, 82 Hindjhaw’s experiment illuft rating ter- reitrial magnetifm imitated, 75 Humbcldfs obfervations on terreflrial magnetifm, 95 determination of the mag¬ netic equator, 98 I. Inclination of the needle increafes as we proceed from the magnetic equator. See Dip. IOO Induced magnetifm, what, 46 gradual, 90 Iron naturally arranges itfelf in a de¬ terminate manner, 16 polarity of, temporary, 17 attradfed by the magnet, 2 2 filings, adtion of a magnet on, 26 attradls iron, . 3° becomes magnetical by proxi¬ mity to a magnet, 44 by pofition, 5^ by hammering or fridlion, 59 by heat, 60 attradled only becaufe it becomes magnetical by indudtion, 91 filings, arrangement of, explain¬ ed, 92 K. Knight''s artificial loadllones, 64 L. 'Lambert's inveftigation of the law of magnetic adlion, 83 M. Magnet, what, t, 12 MAGNETIS M. Magnet, declination of, N° 4 dipping of, 3 artificial, 6, 13 modes of making, 51—64 axis and equator of, 7 armature of, 13 polarity of, permanent, 18 poles of, how found, 23 att radiive power of, varies, 24 Magnetifm, general idea of, 1 utility of, 9 works on, lift of, 10 how applied to ufe, p. 366 how ufually difcovered, N° 35 univerfal, Coulomb’s ex¬ periments on, 36 communication of, p. 373 induced, what, N° 46 artificial, produced by touching with a mag¬ net, 50 artificial, produced by pofition, 58 artificial, produced by fridfion, 59 artificial, produced by heat, 60 impaired by improper po¬ fition, 66 by heat, 67 by rough ufage, 68 by oppofition of fimilar poles, 69 theories of, p. 3^° terreftrial, of Gilbert, N° 71 obfervations on, by Biot and Humboldt, 95 Marcel"'s method of touching bars, 62 Mining, ufe of the compafs in, P* 3^^ Mufchenbroeck"1 s attempt to inveftigate the law of magnetic adtion, N° 81 Needle, magnetic, dipping, N. P. 15 PerfpeBive glafs, magnetic, 38 Polarity, magnetic, what, 2 difturbed by the approach of iron, 20 Index. Polarity, magnetic, aftedled by the atmotphere, N° 2® contrary, induced on iron by a magnet, 45 Poles of a magnet, how found, 23 contrary, attradf each other, 33 correfponding, repel each other, 34 Power, magnetic, 8 R. Ritter's experiments on the analogy of magnetifm and galvanifm, 107 RobifotPs invefiigation of the law of magnetic adlion, 84 explanation of magnetic at¬ traction, 85 of diredtive power, 87 S. Steel, foft, how magnetized, 63 T. Table, magnetic, 40 Taylor’s attempts to find the law of magnetic adlion, 82 Terrejlrialmagnetifm, obfervations on, by Humboldt and Biot, 93 magnetifm adts on the whole furface of the earth, - 96 magnetifm increafes from the equator to the poles, 97 magnetifm modified by lo¬ cal circumftances, 99 Theory of Gilbert, 71 Euler, 77 .**Epinus, 79 Coulomb, 103 Touch, double, what, 54 Touching magnetic bars, go old methods of, 31 of curved bars, 32 how improved by Duhamel, 53 by Michell and Canton, 34 by .fEpinus, 55 by Coulomb, 37 W. Watch, myfterious, 41 MAG Animal Animal Magnetism, a fympathy fuppofed by fome perfons to exift between the magnet and the human bo- dy ; by means of which the former, it was thought, pofieffed the property of curing many difeafes. The notion of animal magnetifin appears to have originated, in 1774, wfith a German philofopher named Tether Held, who greatly recommended the ufe of the magnet in medicine. M. Mefiner, a phyiician of the f MAG fame country, by adopting the principles of Hehl, be- Animal came the diredt founder of the fyfiem j but, afterwards Magnetifm. deviating from the tenets of his inftrudlor, he loft his v patronage, as well as that of Dr Ingenhoufz, which he had formerly enjoyed. Mefmer had already diftinguifh- ed himfelf by “ A diflertation on the influence of the Stars upon the human body,” which he publicly de¬ fended in a thefis before the univerlity of Vienna ; but he MAG [ 399 ] MAG Animal he was fo unable to Hand before the oppofition of Hehl Magnetifm. an(j Ingenboufz, that his fyftem fell alraoll inftantly in- to difrepute. Mefmer appealed to the Academy of Sciences at Berlin •, but they rejefted his principles as deflitute of foundation, and unworthy of the fmalleft attention. He then made a tour through Germany, publilhing everywhere the great cures he performed by means of his animal magnetifm, while his enemies eve¬ rywhere purfued him with detedlions of the falfeheod of his aflertions. Mefmer, ftill undaunted by fo many defeats, returned to Vienna 5 but meeting there with no better fuccefs than before, he retired to Paris in the beginning of the year 1778. Plere he met with a very different recep¬ tion. He was firft patronized by the author of the Diciionnaire des Merveilles de la Nature; in which work a great number of his cures were publilhed, Mef¬ mer himfelf receiving likewdfe an ample teftimony of his candour and folid reafoning. Our phyfician foon collected fome patients 5 and in the month of April 1778 retired with them to Creteil, from whence he in a thort time returned with them perfe&ly cured. Plis fuccefs was now as great as his former difappointment. Patients increafed fo rapidly that the dodlor was foon obliged to take in pupils to aflift him in his operations. Thefe pupils fucceeded equally wHl as Mefmer him¬ felf-, and fo well did they take care of their own emo¬ lument, that one of them named M. Deflon realized upw-ards of ioo,ocol. fterling. In 1779 Mefmer pub- lilhed a memoir on the fubjedl of Animal Magnetifm, promifing afterwards a complete work upon the fame, which fhould make as great a revolution in philofophy as it had already done hr medicine. The new fyffem now' gained ground daily j and foon became fo falhionable, that the jealoufy of the faculty was roufed, and an application concerning it wras made to government. In confequence of this a committee was appointed to inquire into the matter, confiding partly of phyficians and partly of members of the Royal Academy of Sciences, with Dr Benjamin Franklin at their head. This was a thunderftroke to the fupporters of the new dodfrine. Mefmer himfelf refufed to have any communication wfith the committee j but his molt celebrated pupil Deflon was lefs fcrupulous, and ex¬ plained the principles of his art in the following man¬ ner : 1. Animal magnetifm is an univerfal fluid, confti- tuting an abfolute plenum in nature, and the medium of all mutual influence between the celeftial bodies, and betwdxt the earth and animat bodies. 2. It is the molt fubtle fluid in nature ; capable of a flux and reflux, and of receiving, propagating, and con¬ tinuing all kinds of motion. 3. The animal body is fubjedted to the influences of this fluid by means of the nerves, which are immediate¬ ly affedted by it. 4. The human body has poles and other properties analogous to the magnet. 5. The adtion and virtue of animal magnetifm may be communicated from one body to another, whether animate or inanimate. 6. It operates at a great diftance without the inter¬ vention of any body. 7. It is increafed and refledted by mirrors j commu¬ nicated, propagated, and increafed by found ; and may be accumulated, concentrated, and tranfported. 8. Notwithfianding the univerfality of this fluid, all animal bodies are not equally affedted by it on the other hand, there are fome, though but few in number, the prefence of which deftroys all the effedls of animal magnetifm. 9. By means of this fluid nervous diforders are cured immediately, and others mediately ; and its virtues, in flrort, extend to the univerfal cure and prefervation of mankind. Animal Masmetifni. From this extraordinary theory, Mefmer or M. Def¬ lon, had fabricated a paper, in which he flated that there was in nature but one difeafe and one cure, and that this cure w'as animal magnetifm : and laftly, M. Deflon engaged, 1. To prove to the commiflioners, that fuch a thing as animal magnetifm exifted ; 2. To prove the utility of it in the cure of dlfeafes; after which he was to communicate to them all that he knew upon the fubjedl. The commiflioners accord¬ ingly attended in the room where the patients under¬ went the magnetical operations. The apparatus con- fifted of a circular platform made of oak, and raifed about a foot and a half from the ground; which platform was called the baquet. At the top of it w-ere a number of holes, in which w-ere iron rods with move¬ able joints for the purpofe of applying them to any part of the body. The patients were placed in a circle round, each touching an iron rod, which he could apply to any part of the body at pleafure ; they w'ere joined to one another by a cord pafling round their bodies, the de- fign being to increafe the effedt by communication. In the corner of the room r»as a piano forte, on which fome airs were played, occafionally accompanied with a fong. Each of the patients held in his hand an iron rod ten or twelve feet long ; the intention of which, as Deflon told the commiflioners, was to concentrate the magnetifm in its point, and thus to render its effedts more fenfible. Sound is another condudlor of this mag¬ netifm 5 and in order to communicate the magnetifm to the piano forte, nothing more is neceflary than to bring the iron rod near it. Some magnetifm is alfo furniftied by the perfon who plays it 5 and this magnetilmis tranf- mitted to the patients by the founds. The internal part of the platform was faid to be fo contrived as to concen¬ trate the magnetifm, and was the refervoir whence the virtue diffufed itfelf among the patients. Its ilrudlure, however, is not mentioned ; but the committee fatisfied themfelves, by means of a needle and eledtrometer, that neither common magnetifm nor eledlricity was con¬ cerned. Befides the different ways of receiving the magnetifm already mentioned, viz. by the iron, cord, and piano forte, the patients alfo had it diredtly from the dodlor’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 always the direc¬ tion of what he called the poles. The principal appli¬ cation of magnetifm, however, was by preflure of the hands or fingers on the hypochondria or low'er regions of the ffomach. The effecls of thefe operations upon Deflon’s pa¬ tients were very different. Some felt nothing, neither had the magnetifm any effebt whatever upon them. Somr; MAG [ 400 ] MAH A-nimal Sorae fpit, coughed, fvveat, and felt, or pretended to Magnetifiri. £eei, extraordinary heats in different parts of the body. Many women, but very few men, had convulfions, which Deflon called their crifis, Sec.—The commif- fioners at laft found that they could come to no fatis- faftory conclufion while they attended in this 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 ul¬ timately curing difeafes, or by its obfervable effects upon the human body. Being well alfured, howrever, that though many difeafes wrere cured, it would not amount to any proof of the exiflence of animal mag- netifm, they determined to obferve its effefts on the animal economy. For this purpofe they made the fol¬ lowing experiments : 1. They tried it upon themfelves, and felt no¬ thing. 2. Seven of Deflon’s patients were magnetized at Dr Franklin’s houfe, four of whom felt nothing ; three felt, or affe6ted to feel, fomething. 3. Several perfons in a higher fphere of life were magnetized, and felt nothing. 4. The commiflioners, now' determined to difeover what (hare imagination had in this bufinefs, blind¬ folded feveral of the common people, and made them fometimes think that they were magnetized, at other times they magnetized them without letting them knowr that they did fo : the confequence was, that when they fuppofed themfelves magnetized, the pa¬ tients likewife thought they felt fomething, and vice verfa. 5. A magnetized tree was faid to produce convul- flons; a young man, blindfolded, fell into convulflons when he imagined himfelf near the tree, though he W'as really at a confiderable 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 feized with convulfions when he approached a tree. The lame influence of imagi¬ nation was obferved in a wToman accuftomed to have convulfions when magnetized. They came on when nothing wTas done to her, on being told, when blinded, that (he wras magnetized. Other inftances are given, from which it was evident, either that the patients were impoflors, or in fuch a moft wretched ftate of debility both of mind and body, that the moft trifling effects of the former had the moft powerful effedts on the latter. The commiflioners there¬ fore entirely difapprovpd of the whole. The touch, imitation, and imagination, they concluded, were the great caufes of the effects produced by M. Deflon’s ope¬ rations *, and by means of thefe they fuppofed, that con¬ vulfions, which in themfelves are a very violent difor- der, might be fpread much farther than could be wifti- ed, 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, parti¬ cularly the hypochondria and pit of the ftomach j and it is well known that a ftrong preffure on thefe parts will produce difagreeable fenfations in thofe who enjoy perfefl health. It is needlefs to add more upon this fubjeft, than that Melmer complained of the report of the commif- 3 fioners, petitioned parliament, w'as by them command-Magnifying ed to difeover the myileries of his dodlrine 5 and that it is now' exploded by every man of fenfe.—The conclu-. - —v —> fion of the academicians concerning it wras, that it is not entirely ufelefs even to philofophy 5 as it is one fa£l more to be configned to the hiftory of the errors and il- lufions of the human mind, and a fignal inftance of the power of imagination. MAGNIFYING, the making of obje&s appear larger than they would otherwife do j whence convex lenfes, wftiich have the power of doing this, are called magnifying g/qffes. See Optics. MAGNITUDE, whatever is made up of parts lo¬ cally extended, or that has feveral dimenfions j as a line, furface, folid, &c. MAGNOLIA, the laurel-leaved tulip tree, a genus of plants belonging to the polyandria clafs j and in the natural method ranking under the 52d or¬ der, Coadnata. See Botany Index. MAGNUS CAMPUS, in Ancient Geography, a tract lying towards Scythopolis, or Bethfan in Galilee, be¬ yond wdiich it extends into Samaria j Jofephus placing the common boundary between thefe two diftridts in the Campus Magnus. Called alfo Efdrelon, (Judith); 30 miles long, and 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, in Ancient Geography, a port of the Belgae, in Britain, on the Channel. Now thought to be Portfmouth in Hamplhire.—Another Portus Mag¬ nus of Bsetica in Spain ; a port to the eaft of Ab- dera. MAGO, the name of feveral Carthaginian generals. See Carthage. Mago, in Ancient Geography, a citadel and town of the Balearis Minor, or Minorca. Now Maon, or Ma¬ hon. E. Long. 4. 6. N. Lat. 39. 5. MAGONTIACUM, Mogontiacum, or Mogon- tiacus, truncated afterwards by the poets to Mogontia, Maguntia, and Moguntia : a town of Gallia Belgica. NowT Ment%, capital of the eleftorate of that name ; fituated at the confluence of the Rhine and Maine. E. Long. 8° N. Lat. 50°. MAGOPHONIA (formed from (ttaeyo?, “ magus,” and tymtui, “ flaughter”), the name of a feaft among the ancient Perfians, held in memory of the expulfion of the Magians. The Magian Smerdis having ufurped the throne of Perfia, upon the death of Cambyfes, 521 years before Jefus Chrift, feven of the principal lords of the court confpired to drive him out of it.— Their defign was executed with good fuccefs. Smer¬ dis and his brother, another Magian, called Patizithes, W’ere 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 elected king ; and, in memory of this malTacre of the Magi, a feaft was inftituted, fays Herodotus, called Magophonia. See Magi. MAGPIE. See Corvus, Ornithology Index. MAHIE, the name given by the inhabitants of Otabeite, or George’s ifland, to their bread-fruit when made into a kind of four pafte, which, in confequence of having undergone a fermentation; will keep a con¬ fiderable / / t % I V