Lectures and collections made by Robert Hooke. Hooke, Robert, 1635-1703. 1678 Approx. 241 KB of XML-encoded text transcribed from 74 1-bit group-IV TIFF page images. Text Creation Partnership, Ann Arbor, MI ; Oxford (UK) : 2006-06 (EEBO-TCP Phase 1). A44321 Wing H2618 ESTC R23972 07934020 ocm 07934020 40537 This keyboarded and encoded edition of the work described above is co-owned by the institutions providing financial support to the Early English Books Online Text Creation Partnership. This Phase I text is available for reuse, according to the terms of Creative Commons 0 1.0 Universal . The text can be copied, modified, distributed and performed, even for commercial purposes, all without asking permission. Early English books online. (EEBO-TCP ; phase 1, no. A44321) Transcribed from: (Early English Books Online ; image set 40537) Images scanned from microfilm: (Early English books, 1641-1700 ; 1208:4) Lectures and collections made by Robert Hooke. Hooke, Robert, 1635-1703. 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Comets. 2004-05 TCP Assigned for keying and markup 2006-01 Aptara Keyed and coded from ProQuest page images 2006-03 Judith Siefring Sampled and proofread 2006-03 Judith Siefring Text and markup reviewed and edited 2006-04 pfs Batch review (QC) and XML conversion LECTURES AND COLLECTIONS Made by ROBERT HOOKE , Secretary of the Royal Society . COMETA . CONTAINING Observations of the Comet in April , 1677. Fragments of several Lectures about those of 1664. and 1665. Sir Chr. Wren's Hypothesis and Geometrical Problem about those Comets , A Discourse concerning the Comet of 1677. Mr. Boyle's Observation made on two new Phosphori of Mr. Baldwin , and Mr. Craft . Mr. Gallet's Letter to Mr. Cassini , together with his Observation of ☿ sub ☉ . Mr. Cassini ' Reflections upon those of Gassendus , and Hevelius , and upon this . Mr. Hally's Letter and Observation of the same made at St. Hellena . Mr. Cassini's Observation of the Diurnal motion of ♃ , and other changes happening in it . MICROSCOPIVM . CONTAINING Mr. Leeuwenhoeck's two Letters concerning some late Microscopical Discoveries . The Author's Discourse and Description of Microscopes , improved for discerning the nature and texture of Bodies . P. Cherubine's Accusations answered . Mr. Young's Letter containing several Anatomical Observations . LONDON : Printed for J. Martyn , Printer to the Royal Society , at the Bell in St. Paul's Church-yard . 1678. VIRO PERILLUSTRI D no JOSEPHO WILLIAMSON EQUITI AURATO , Serenissimo CAROLO II o. Mag. Britan. Fran. & Hibern . REGI , A Consiliis Secretioribus , et a Secretis Status , Nec non SOCIETATIS REGALIS LONDINENSIS , Ad Scientiam Naturalem promovendam PRAESIDI DIGNISSIMO . NEC potui , nec debui , Nobilissime Vir , cujusquam aliûs nomen his Chartis inscribere , praeter Tuum . Sub Te natae , Tibi vitam debent ; Tibi quoque debebunt quod lucem aspiciant . Egregius ille Tuus animus ad instaurandam Philosophiam artesque adeo omnes utiles , mihi homini , alioquin subtimido , audaciam hujus dedicationis fecit . Ego quae nunc potui , profero , magis ad Gratulationem ostendendam , quàm Eruditionem . Spero autem , quemadmoduni sub Tuo PRAESIDIO majora indies Augmenta Scientiarum in hâc gente fiunt , ita exorituros viros doctos , qui Tibi justa praeconia laudum persolvant ; quod ego prae tenuitate ne conari quidem audeo , quanquam cum primis sim Dignitatis & Honoris Tui Studiosissimus , ROBERTUS HOOKE . SYNOPSIS . THE Comet seen April 21. 1677. between the Triangle and the Cloud of ♈ , its tail not directly opposite to the ☉ , its Magnitude , Brightness , Head , Nucleus , Blaze , ( 1. ) Why sometimes shorter , sometimes longer ; without sensible motion of parts . Explanation of the first figure , as seen by the eye . ( 2. ) Of the second Figure , as seen through a glass , of a parabolick termination , differing from the representations of Mr. Hevelius . ( 3. ) The Medulla , and blaze with the manner of shortning and lengthening , explained by the third figure ; not seen the 22d . but the 23d . The bigness of the Nucleus and Head through a Telescope , compared with the top of a Tower. ( 4. ) The place it then appeared in . Why the motion was not more exactly observed . It s blaze still not opposite to the Sun. The 24th . not seen , nor 25th . ( 5. ) though the Sky clear by reason of the height of Vapors . How they do lengthen the Crepusculum . Why Physical Remarks only were made . ( 6. ) Published in order to understand Objections , and propound pertinent Queries . Some Observations , Notes , Queries , &c. concerning the Comets in 1664. and 1665. here . Collected out of several scattered Papers and Lectures of them formerly read here imperfect . Queries of its substance , magnitude , density , mutability , dissolution , fluidity , gravity , light , figure , motion bended or straight , ( 7. ) with equal or unequal velocity , in the Atmosphere or Aether , above or below the Moon . Whether it wasts , or lasts to return . The Star of a compacted light ( 8. ) varied possibly from position , partly from real change , Tail transparent , Body supposed more dense , side toward the Sun evenly defin'd , Encompassed with a fluid yielding to motion , but dissolving its parts . It s light from its self . ( 9. ) It s Nucleus supposed dense possibly as the middle part of the Earth , of which some conjectures . Dissolved by the Aether as in our Atmosphere . ( 10. ) Argument for the looseness of the central parts of the Earth from the variation of magnetical direction . ( 11. ) The Nucleus of Comets possibly the same . Internal motion may weaken gravitation . Parts separated may be agitated by the gravitation of the ☉ . Tail made not so much by the particles receding as the Stars approaching the Sun. ( 12. ) How the Comet may first lose its Orb in the Universe , and passing through the spheres of Activity of several central bodies is deflected and attracted by them , and the Blaze raised to a prodigious length . ( 13. ) The bodies being attracted by some gravity , Blaze expelled by levity , explained by smoke , and steams . Somewhat for positive levity . ( 14. ) A digression concerning the method of speculating the great and first principles of the Universe . The Coma and Blaze like smoke or flames . ( 15. ) Shining particles a shining point , not a line of light . Considerations and Experiments about the ways light is augmented by , as by swift motion , adjacent dark medium , Flame explained . Why the Particles coalesce into a stream . ( 16. ) Enquiry about the magnitude and place of Comets . Many supposed them sublunary . Tycho and Kepler proved them coelestial . How far we may rely upon Observations for Parallax . Parallax and its effects described . ( 18. ) Tycho supposed the Comet of 1577. to move about the Sun. Kepler that of 1607. to move in a straight line ; that of 1664. had no sensible Parallax by what means it was found . ( 19. ) Refraction in this way varies little . Theory of Comets defective as to Parallax hitherto . Parallax not to be enquired from the Observations of several men . Errors creep in from the Press and the Graver , as in P. Gottignies Plates . ( 20. ) Nothing to be concluded from Observations made by persons in differing places for want of accurate Instruments , and Observations . ( 21. ) Even the best as Hevelius , Gottignies , Petit , or Auzout err . Some reason for this assertion . Most of the rest altogether insignificant . ( 22. ) Want of Observers , Instruments , and Tables the cause . How these wants are to be supplied . What the world expects from Mr. Hevelius . ( 23. ) And of how great use his Tables and Projections made by them will be . Parallax from diurnal motion failing . ( 24. ) Other Parallaxes arising from other hypotheses of the proper motions either of the Earth , or Comet , or both together considered arise to a certainty . ( 25. ) Others depending upon other suppositions define nothing of the magnitude or distance of Comets . The inconvenience of Tycho's , and also of Kepler's Hypotheses explained . A third way I have taken . What consequences follow from it , ( 26. ) As that it moves in a Circle that comes within the Earth Orb in ♌ , and without ♃ Orb in ♒ , a sextant in 130 days , &c. This not relied on , because there may be other hypotheses to solve the phaenomena ; as that the Earth is unmoved , and the Comet moved in a Circle , whose convex side is toward the Earth . ( 27. ) This hypothesis explained by the sixth figure . ( 28. ) The distance and bigness of the Circle of the Comet undeterminable this way without a diurnal parallax , since the appearances may be solved by Circles of any bigness , proved by the eighth figure , ( 29. ) Allowing inequality of motion , or more compound curve lines , nothing can be determined . The circular Orb it seemed the most probable solves Kepler's acceleration , according to the increase of a line of Tangents . ( 30. ) A gravitation towards the Sun makes out the motion of the Comet , and Planets , and of the Blaze . The Blaze explained by experiment of ♂ dissolved in oyl of Virt. ( 31. ) This experiment and hypothesis farther explained , and applied to explain the Blaze which is from thence bent , brighter on one side than the other , not direct from the Sun. ( 32. ) Cometical body and motion as old as the world , yet wasting in the Aether ; explained by fire . Dissolution by menstruums . ( 33. ) Thence the proprieties of Comets conjectured , and the sum of the foregoing discourse repeated , being the end of a Lecture . Recourse to Tycho Brahe's Observation ( 34. ) for making out the Comets Orb. His supposing its motion unequal without reason a shift . Mr. Horrox his hypotheses in the ninth figure a product of chance . ( 35. ) A discourse on it , and some objections against Tycho's . ( 36. ) Kepler's hypothesis examined by these Observations of Tycho's , found the most likely , but with some alteration . Line of Trajection bent a little . Motion accelerated towards the Sun , retarded from it . ( 37. ) The swifter and further off the Comet from the Sun , the less the bend , explained by the tenth figure . ( 38. ) The way of enquiring parallax by Telescopes , ( 39. ) further explained . A second way by two Observers in distant places propounded . The third way of Sir Chr. Wren his Majesties Surveyor-General , ( 40. ) Set down and demonstrated by a Geometrical Problem . ( 41. ) How exactly all those Observations he had were made out by it , together with his own Schemes ; both which I had in the beginning of Feb. 1664-5 . ( 42. ) Some other Papers about Comets added , being reflections on Mr. Descartes and Kepler's hypotheses , from particular tracings of the Comets of 1664. and 1665. A Scheme of the later Observations of that of 1664. added , and some reflections , being all the papers could be found about those Comets . ( 43 , 44. ) Animadversions on this of April last . Why the former conjectures were adhered to concerning the light of Comets . ( 45. ) Several sorts of shining bodies enumerated . ( 46 ) To which the light of the Comet seems to have most affinity , and how produced . ( 47. ) Further described and explained . ( 48. ) The reason of its parabolick figure demonstrated from the proprieties of motion from or toward a gravitating body , as the Sun. ( 49. ) Concerning the wasting and lasting of the Cometical body . The bigness and nature of the Particles that compose the Blaze . ( 50. ) Some difficulties in this supposition concerning the action of the Aether in levitation and ascent , dissolution , shining , &c. cleared and explained by Experiments . ( 51 , 52 , 53. ) But would have been further examined by Observation if there had been opportunity . ( 54. ) That these assertions about the light of Comets may not seem too paradoxical , some further Considerations and Observations about light are added , and some new ways propounded . ( 55 , 56. ) Mr. Boyle's Memorial concerning a Phosphoros , written for his own use , inserted ; in which he first names the Author of it , and describes his Apparatus . ( 57 , 58. ) Then the observables . 1. Two spoonfuls of matter enlighten a large glass sphere . 2. A little enlightens a large Cylinder . 3. Liquor shaken had a smoke and flasht . 4. A dry substance affirmed to have continued shining 2 years , flashed . ( 59. ) 5. Some dust of this on a Carpet twinckled like Stars . Writing on paper with it shin'd , and smelt of Sulphur and Onions . ( 60. ) 7. The hand on which it was rubbed , shin'd , but felt no heat . ( 61. ) It fired Gun-powder first warm'd . ( 62. ) And white paper held over coals . Other tryals propounded , but refused . ( 63. ) Some Experiments made on the Phosphoros Baldwini in vacuo , and in the open air . ( 64. ) Preserved in Vacuo , but destroyed in Air. ( 65 , 66. ) Monsieur Gallet's Letter to Monsieur Cassini , acquainting him with his Apparatus for observing ☿ in ☉ . ( 67 , 68. ) His Observation of sour spots in ☉ . ( 69. ) The particulars observed . ( 70. 71 , 72. ) Monsieur Cassini's Reflections on these Observations . ( 73 , 74. ) Mr. Hally's Letter to Sir Jonas Moore , containing an account of his Observations of ☿ sub sole , three Southern Stars . The two Nubeculae , &c. ( 75 , 76 , 77. ) Mr. Cassini's farther discoveries about the diurnal motion , and several new appearances in ♃ . ( 78 , 79 , 80. ) A second Discourse called Microscopium , or some new discoveries with Microscopes , in a Letter of Mr. Leeuwenhoeck . ( 81. 82. ) A confirmation of some of them by Observations here . ( 83. ) Mr. Leeuwenhoeck's second Letter , containing Observations of the Globules of Blood , Milk , Flegm , Gums first dissolved , then precipitated out of the Spirit of Wine ; Eels a thousand times thinner than a hair . ( 84 , 85 , 86 , 87 , 88 , 89. ) The ways how these discoveries were made here . 1. By holding the liquor in small pipes , how fill'd , how made . The Lamp , Pipe , Oyl , Manner , Materials for making them described . ( 89 , 90. ) Muscovy-glass used instead of these Pipes , and how the Microscope was fitted for this purpose . ( 91. ) What light convenient . Surfaces of bodies not perfectly fluid apt to delude an Observer . ( 92. ) Plates removing that deluding cause , and what farther use of them . ( 93. ) How to find the figure and texture of Animal and Vegetable parts . Instance in a ligament of Beef . ( 94. ) The figure of Muscles hinted , and an instrument stretching them before the Glass described . ( 95. ) A description of the Microscopes used , 1. Of the single Microscope , and its advantages and difficulties , ( 96. ) another sort more easie described , and the ways how to make and use it explained . ( 97. ) Causes that vary the distance of objects from the Globule . The use of Selenites and Looking-glass-plates , for holding the liquor . A Microscope of one single refraction . ( 98. ) The only inconvenience of them hinted , how prevented by double Microscopes . Where these are made . ( 99. ) The double Microscope , and its parts , uses , and advantages described . ( 100. ) The benefit of a dark Room , and appropriated lights . And a digression in answer to P. Cherubines Accusation . ( 101. ) Some Observations made with this Microscope hinted . Animalcules in the steeping of other Grains besides Pepper . Their smallness estimated , and compared to a Whale . Muscular fabrick hinted . Milk , Blood , Fat , Sugar , Allum , &c. viewed . ( 102 , 103. ) Mr. Young's Letter of one who trying to cure a Colick by leaden Pills , slipt one into his Lungs ; grievous symptoms ensue . ( 105. ) Helps of skilful Physicians in vain attempted , and particularly of Dr. Mayow , of suspending with the head downward ; though in the interim he married and had Children , yet it kill'd him . ( 106 , 107. ) His body diffected , and remarkables taken notice of , and their causes explained by Mr. Young , ( from 107. to 112. ) COMETA , OR , Remarks about Comets . ON Saturday morning , April 21. 1677. I first saw the Comet , of which I had been advertised the day before . It appeared in the Sign Taurus , between the base of the Triangle , and the unformed Stars in the Cloud of Aries , dignified by P. Pardies , with the figure of the Flower-de-luce . The head of it was in a right line , with the heart of Cassiopea , and Alamak , or the South foot of Andromeda . and as near as I could judge by my naked eye ( having no Instrument or help by me ) it was ⅙ of the distance between the feet and the Girdle of Andromeda , distant from the said Alamak towards the South . It s tail sometimes as the Air was clearer and darker , extended about three quarters of its distance from the aforesaid Alamak , and pointed directly at the Star in the nose of Cassiopea of the fourth Magnitude , and consequently the head of the Comet pointed not directly at the Sun ( the Sun then being about the eleventh degree of Taurus ) but rather towards the fourteenth degree of the same Sign . It s appearance was very small and slender , and as people commonly ghessed , about two yards long ; and the head about the bigness of a Star of the first magnitude , but of a much fainter and duller light . It s blaze about three o' the clock seemed to rise straight upward , before that about half an hour after two it leaned a little Eastwards , or towards the right hand , and after three , as it rose higher , inclined towards the left side or Westwards . The head to the naked eye was brighter than the blaze , and seemed to be somewhat bigger than that part of it which immediately joyn'd to the head ; but those parts of it which were farther distant , were of a much greater breadth ; spreading wider and wider , as they were more remote from the head , and in the same proportion also growing fainter and fainter in their light , especially towards the outsides : but the middle parts of medulla appear'd much longer , and the brightness much greater , which made the whole blaze to seem to taper , or be pointed towards the top . The length of the Blaze appeared sometimes shorter , and sometimes longer , by several vicissitudes ; and as the day-break , or dawning increased , so the Blaze shortened , and especially towards the sides near the top , and shortly after before the Sun rose , disappeared . But notwithstanding this shortning and lengthening of the Blaze , I could not perceive any kind of motion in the parts of it , such as is observable in flame , smoke , or other steams rising from a burning or hot body : but the same parts of the Blaze seemed to appear and disappear in their proper places as if they had been fixed and a solid body . The first Figure I have here annexed will with some short explications , represent the appearance of it to the eye , more plainly than by a multitude of words , without it 't is possible to express . A , represents the head of the Comet , the middle of which appeared brighter than any other part ; about which was a hazy light somewhat like the shining of a Star through a thin cloud ; the lower part of which was pretty round and defined . B , the neck of it , which seemed to the naked eye of less Diameter , and less bright than the head , but through a six-foot glass , as I shall mention by and by , it appeared bigger , though not so bright . The middle of this was very bright , and seemed to issue from the Nucleus or Star in the middle of the head . C , the brushy parts which were fainter and paler towards the sides , especially nearer the top , which made the whole seem to taper and resemble the Figure here exprest : Observing it with Telescopes ( one of which was fifteen foot , and the other six foot long ) I found the shape of it much like this , which I have represented in the second Figure . It had a pretty bright Star ( if I may so call it ) near the middle of the head , seeming much about the brightness of ♄ when near the Horizon , and was about 25 seconds in Diameter ; as is represented by A , not perfectly defined , but hazy ; the cloudy part or beard of the body encompassing it on all sides : but that part of the Coma B , which was next towards the Sun , was the narrowest : nor was this Coma well defined , but the outward parts of it were fainter and fainter . However they were regularly enough terminated to make the outwardmost bounds of it of a kind of Parabolical figure ; the most bent part of which was towards the Sun , and most defined : And the bright Star of it was , as I have expressed it about four of its Diameters distant from the said parabolical limb . The light parts of the ambient Cloud seemed to spread gradually towards that side of it , which was opposite to the Sun ; but those which were next the middle were the brightest : and always as they were farther and farther from the Star in the head , the fainter and paler they were . I could not observe any representations like those which are given us by Mr. Hevelius , in his Cometography , neither in the Head , nor the Blaze , no more than I could in those which appeared in the years 1664. and 1665. as may be easily taken notice of by comparing these which I have delineated with those . The middle part of the Blaze CC , which ascended from the Star in the middle , seemed the brightest , and of this medulla or stem , those parts were brightest which were nearest situated to the said Star. The sides of it grew fainter and fainter , as they were farther from the head ; and though they had brightness enough to make them appear in a dark and clear sky , yet the dawning quickly made them vanish , and disappear , as did any haziness of the Sky : and according as the light increased , so was the Blaze diminished , after the order of the tapering prickt lines exprest in the third Figure by aaa , bbb , ccc , ddd , &c. and even in a clear and dark Sky , towards the farther end of the Blaze they often disappeared for some short space of time , though the middle or stem continued ; and so it caused the remaining appearance to resemble the figure of a very slender birchen whisk or brush , much like that represented in the first figure . The 22. from half an hour after two , till half an hour after three , the North-east part of the Heavens to me was cloudy , and the Sky between the Clouds was hazy , and the dawning struck much higher than the day before , so that I could not find it . The 23. with several friends I observed it again , the Sky being clear , and confirmed my self in all my former observations , taking again diligent notice of all circumstances remarkable , both with my naked eye , and with Perspective-glasses . And I had this morning a very notable observation in order to measure the bigness of the Star and its Coma which encompassed it , by comparing it with somewhat fixt : for some few minutes before three of the Clock the head of it past just behind the type or top-post of a tower not far distant , and was quite eclipsed by it ; and as soon as it appeared to have past it , seeming yet contiguous , I observed it with my six foot Telescope , and found the Coma or whole head to appear full as big as the said type or timber post , and the Nucleus or Star in the middle of it , to be very near of the same bigness of the iron spindle , upon which the weather-cock was fixt . Whence upon examining the bigness of the said parts , since by an accurate Instrument I judge the head or Coma was about 4 ⅙ minutes in Diameter , and the Nucleus or Star about 25 seconds . I took notice this morning that it had much altered the position in the Heavens , which it had upon Saturday morning , and that the Blaze of it was very much deflected out of the line it appeared in the last time . And with a small crossstaff , taking the distance of it from Alamak , and from Genib , in the left side of Perseus . I judged it to be in the mid-way between the Flower-de-luce aforesaid , and Algol , or the head of Medusa , that is , about 14 degrees of ♉ , and 17 degrees of Northern Latitude : so that I judged its motion almost East , but a little deflecting South . I was not much solicitous of making observations of its true place , as not designing my present enquiry to be for what kind of motion it had , conceiving its motion to be towards the Sun , and so of very little duration : and expecting to hear an account of that from other places , and persons that were better furnished with Instruments and conveniences for observations of that kind than I was then . The Blaze extended it self in a right line towards the Star in the right thigh of Cassiopea , being a Star of the third magnitude . It s length at first was about 7 or 8 degrees , and did sometimes seem longer , sometimes shorter , as I noted before , without seeming to have any other motion in it but the Diurnal motion , the same with the fixt Stars on Earth . Whence I collected , that the head of it pointed towards the seventeenth degree of Taurus in the Ecliptick , though the Sun at that time was about the thirteenth degree of the same Sign . The 24. with several others , I attended the appearance of it , but the Sky in that part of the Heavens was over-cast with Clouds . The 25. I expected to have a farther Observation of it from half an hour after two , till a quarter after four ; but notwithstanding the South-easterly wind , and the clarifying quality of the air , which before half an hour after three had partly carried off , and partly dissolved the black thick Clouds ( with which the North-east parts of this Horizon was over-cast about three of the Clock ) and left that part of the Heavens where the Comet should have appeared clear , and without Clouds . Yet the air being very high and heavy , as the Barometer shewed , the upper parts of it were so filled with the dawning light of the morning , that neither the Blaze head or Star of the Comet appeared to me in the least : nor had I any sight of it since . The like appearance of the great height of vapors in the air , when it is very heavy , I have often taken notice of , and have observed , that the twy-light and dawning between the night , and appearing of the Sun is very much altered thereby . And that a heavy air , when the vapors are raised high , will make the length of them much greater , and consequently the night shorter . And a light air , on the contrary , shortning them , doth lengthen the night . These were the most remarkable circumstances I took notice of in this Comet , being altogether Physical , and designed only for enquirng into the constitution of these wonderfull bodies : the accounts and opinions we have hitherto had of them of that kind , being very unsatisfactory . Though other Observations , to wit , Mathematical , of the way , celerity , and magnitude of Comets have been prosecuted with very much care , and great skill ; such as those of the noble Tycho , and the learned and diligent Hevelius , insomuch that I could not expect to have better ; yet as to Physical remarks , I wanted much information to be able to satisfie many difficulties that occurr'd to my thoughts , upon enquiry into the particular natures of them . I did therefore , as I designed , employ all the time I could get of observing this Comet , in taking notice of such circumstances as I judged would be pertinent to resolve any of those Queries I had formerly made , in order to find out the nature of Comets in general . And though the little opportunity I now had , and the disadvantageous appearance of this last were very short of giving me that satisfaction in many particulars which I wish'd for , and expected at first , yet since they may possibly serve for hints to others that may hereafter have better oportunity than I , and that I might understand what material objections could be made by observers from preceding Comets , and that they might for the future more diligently take notice of what from these queries and hints may be judged significant to this design , such as they are I have here published as I had done formerly by my Lectures in Gresham-Colledge , those which I had made of those in 1664. and 1665. Now before I come to make reflexions upon these remarks , I thought it might not be improper to add some few of those things concerning those two former Comets observed by me in the said years . I say , some few , because it would be needless to set down all , especially such of mine as do agree with others since published . I did therefore soon after I had seen the first Comet , to wit , December 23. 1664. propound to my self certain Queries necessary to be answered , in order to find out a true theory of them , and directed my Observations accordingly ; and they were these . Of what substance its body , beard , and blaze is ? and next , of what magnitude each of those parts appear , and of what real magnitude they are ? Other Queries were concerning its density and rarity , its mutability or immutability ; that is , whether it dissolved and wasted or not ? whether it were fluid or solid ? whether it participated of gravity or levity ? Whence it had its light , colour , &c. What was the figure of the Star , Radiation , Blaze , &c. Whether the Blaze were always opposite to the Sun , or deflected ? whether straight or bended , &c. What kind of motion it was carried with ? whether in a straight or bended line ? and if bended , whether in a circular or other curve , as elliptical or other compounded line , whether the convex or concave side of that curve were turned towards the earth ? Whether in any of those lines it moved equal or unequal spaces in equal times ? Through what parts of the universe it moved , and how far distant it was at several times ? Whether in the lower Regions near the Earth in the Atmosphere , or near it , or in the Heavens , or fluid Aether , with which the space of the Heavens is filled ? Whether above or below the Moon , &c. Whether it wasts , and is dispersed and consumed ? or whether it lasts and endures for a longer time ? If it lasts , Whether it ever appears again , being moved in a circle ; or be carried clear away , and never appear again , being moved in a straight or paraboloeidical line ? Whether it be collected or generated when it first appears ? and dissipated or destroyed when it disappears ; or whether the several distances of it do not make that appearance ? Whether it may not have some such propriety , as the Star in Cete , whereby it may shine and appear for a certain period , and again lose its light , and disappear by several vicissitudes ? and whether that may not give some account of the appearance of so many Comets about Aries ? First , As concerning the matter or substance of the Nucleus Star or body , of the hazy shining part encompassing it , and of the Tail or Blaze : I say , that by comparing all the circumstances that I was able to take notice of from the beginning to the end , I found that the Star in the head was of a very compacted and dense light , and almost equalled that of Saturn ; though it were not like that confined by an equal limb : that there were some parts distinguishable in this body , some having a brighter , others a fainter light . That these parts did not continue the same , but considerably varied , which might in part be caused by the differing position of those parts which were seen before , from the same seen afterwards , in respect of the eye , situate on the surface of the Earth , moved one way , and the Comet moved another ; though I do not conceive it wholly ascribable to that , but partly also to a real alteration of the parts of the Comet . That I did very diligently watch to observe if it were possible , when it pass'd over any fix'd Star to find whether it were transparent ; as I had several times observed the tail of it to be even in its brightest parts , but I had not the opportunity ; but that I did several times observe the tail of it transparent , not only with the naked eye , but through a Telescope : if at least the fixed Stars be above it , which I think few doubt , that the light diminish'd by degrees towards the extremes of the hazy part encompassing it ; and yet the extremes of it as to that part of it which respected the Sun , seemed pretty evenly and smoothly defined , especially through a Telescope : From all which remarks , and from the velocity of its motion , I conjecture it to be made up of solid matter , not fluid ; that the body of it especially , is considerably dense , but that the haziness or Coma about it is much more rarified , and the tail thereof is most of all . That this body is encompassed with a body most fluid , and easily permeable , and which doth with very little resistance give way to the motion of it , or any other body through it , that it doth easily admit at least ( if not actually take into it self ) the parts of this body , Coma , and Blaze . I say , admit at least , ( though there may be many reasons alledged that it doth actually prey upon , and dissolve those parts into it self , as I shall shew by and by ) because that we find that the extreme parts do extend but to such a distance , and beyond that there is no appearance of light , and that the light is from it self , and not produced by refraction or reflexion of the beams of the Sun , I shall shew reasons by and by . And consequently , where there is most light appears , there are the greatest number , and there is the greatest density of the Cometical parts . The middle of the body may be as dense as the body of the earth ; and I have not observed my self , nor met with any body else that hath taken notice of any thing to the contrary : If I could have seen any Comet to have covered any Star in its way , it would have afforded a very circumstantial information , especially if for this purpose it had been taken notice of with a good Telescope . What the density of the innermost parts of this Earth we live on is , none knows ; for though we find the parts on which we tread to be very compact , and though by the industry of Miners it hath been proved so also to the depth of many hundred foot , as Georgius Agrieola relates : and though it hath been found so even to a greater depth by the soundings of the bottom of the Sea , yet none can bring an undeniable proof that the same is so solid to 25 miles deep ; much less that it is so to the center : if therefore the external shell of this Globe were broken , and removed , 't is not impossible but that the middle parts thereof may be of the same nature with the middle parts of the Comets body ; and that those parts ( were the superficial parts or shell removed ) might , like these of Comets expand themselves into the encompassing Aether . Nay we find , that notwithstanding the compactedness of the superficial parts of this Earth , yet the Aether is able to take up into it self vast quantities of them , and to keep them suspended , some of them , even to the height of many miles , if any argument may be drawn from the height or length of the dawning o● 〈◊〉 ; and this , notwithstanding the attraction of the Earth in its perfect vigor , or the gravitation of these parts thus taken up , or their endeavour towards the center of the Earth . How much more freely then might we imagine the encompassing Aether to prey upon , and take up into it self the internal parts , if they were of a loose and pervious texture , and almost in a state of fluidity , like a heap of Sand , or a vessel of Alabaster-dust in boyling , and were not so firmly united by the bonds of gravity , and the vinculum of petrifaction , as we find the superficial parts of the earth now are . There is one argument to prove to us , that there may be such a looseness of the internal parts of the earth , and that is that the magnetical virtue varies , which virtue without controversie diffused through the whole body of the Earth , and which hath a relation to the whole Globe , and to every magnetical part ther●of . For by observation 't is found , that the magnetical virtue , acts upon a needle without it , as the magnetical virtue of a round Loadstone doth on a Needle applied without that , which , as I may elsewhere shew , hath a respect to the center of the stone differing from all the respects that Authors have hitherto ascribed to it , even of Gilbert , Kepler , Kircher , Descartes , and our Country-man Mr. Bond , who I think was the first man that endeavoured to reduce the variations observed by Wright , Gellibrand , Coster , &c. into a Theory and calculation . Now this magnetical virtue , ( which may be called one emanation of the Anima mundi , as gravity may be called another ) being diffused through every part of it , and seeming to be , as it were Tota in toto & tota in qualibet parte , and to be more spiritual , and to act more according to Magical and Mystical Laws than Light , Sound , or the like , it giving to every magnetical body , and every piece of it , though infinitely divided , the same proprieties it hath it self ; This magnetical virtue , I say , having such a relation , and being forced thus to vary , 't is very probable that the internal parts to which it hath a respect , have a variation likewise ; and consequently , that these internal parts which are supposed generally very dense , compact , and very closely and solidly united , may be notwithstanding more loose , and ununited , and movable from certain causes . To proceed therefore , I say , that it seems very probable to me , that the body of Comets may be of the same nature and constitution with that of the internal parts of the Earth , that these parts may , by the help of the Aether , be so agitated and blended together , as to make them work upon , and dissolve each other in the same manner , as we have often had examples of some of the parts of the Earth ; a late instance of which was at Mongibel or Aetna in Sicily , where the Fire continued for a long time , and produced very considerable effects . That this internal agitation may confound the gravitating principle , and so leave the parts in a greater freedom to be dissolved by the encompassing Aether , which is the agent that sets the other two at work to destroy each other , that it may at length prey upon both , and dissolve them both into it self ; and consequently , not only the parts thus dissolved are elevated to a greater distance from the center of the Star or Nucleus , or the superficies of it , whose gravitating or attractive principle is much destroyed , the Coma being in this Comet four or five Diameters of the Star or Nucleus : but having given those parts leave thus far to ramble , the gravitating principle of another body more potent acts upon it , and makes those parts seem to recede from the center thereof , though really they are but as it were , left behind the body of the Star , which is more powerfully attracted than the minuter steaming parts : for , I suppose the gravitating power of the Sun in the center of this part of the Heaven in which we are , hath an attractive power upon all the bodies of the Planets , and of the Earth that move about it , and that each of those again have a respect answerable , whereby they may be said to attract the Sun in the same manner as the Load-stone hath to Iron , and the Iron hath to the Loadstone . I conceive also that this attractive virtue may act likewise upon several other bodies that come within the center of its sphere of activity , though 't is not improbable also but that as on some bodies it may have no effect at all , no more than the Load-stone which acts on Iron , hath upon a bar of Tin , Lead , Glass , Wood , &c. so on other bodies , it may have a clean contrary effect , that is , of protrusion , thrusting off , or driving away , as we find one Pole of the Magnet doth the end of a Needle touched on the opposite part ; whence it is , I conceive , that the parts of the body of this Comet ( being confounded or jumbled , as 't were together , and so the gravitating principle destroyed ) become of other natures than they were before , and so the body may cease to maintain its place in the Universe , where first it was placed . Whence instead of continuing to move round some central body , whether Sun or Planet , as it did whilst it maintained it self entire , and so had its magnetical quality ( as I may so call it ) unconfounded , it now leaves that circular way and by its motion ( which always tends to a straight line , and would be so were it not bended into a curve by the attractive virtue of the central body ) it flies away from its former center by the Tangent line to the last place , where it was before this confusion was caused in the body of it . In this line ( 't is probable ) it passes from one part of the Heavens to another , and so passes through the spheres of the activity of multitudes of central bodies ; in the passing through which spheres , 't is not improbable that those parts which by their dissolution are made of a nature differing from the body in the center , are rather expelled from , than attracted towards it ; and so being by this dissolution rarified , and loosened from the middle , and by their acting upon one another , and dissolution of the Aether made of another nature , after they have every way dispersed themselves to a considerable distance from their proper body , are converted and driven in a way almost opposite to that expelling body , and so continue to be driven away to such a vast distance , as to make out that prodigious length of the tail or Blaze of some Comets ( such as was that of 1618. which , as Kepler reports , was extended to 70 degrees from the body or head of it ) till at last they are dissolved also , and commixed with the Aether within them . So that though I suppose the attractive power of the Sun , or other central body may draw the body towards it , and so bend the motion of the Comet from the streight line , in which it tends , into a kind of curve , whose concave part is towards the Sun , by reason that there are some central parts of it , which are not yet destroyed , and so retain somewhat of its gravitating principle : yet I conceive that all those parts of the Comet which are thus wrought upon by the other , and changed into another state , and are very much rarified , and produce light , are of a clean contrary nature , and recede from the center of the Sun : much after the same manner as we find any combustible body with us ; as Coal , &c. where we find that the body of the Coal , before it be resolv'd into smoke , is a very dense , and very heavy body , and tends to the center of the earth ; but the parts thereof agitated by the Air and Aether into steams and smoke , and those yet farther dissolved into flame , do tend upwards , and from the center of the earth . Now though one cause of the recess of flame from the center of the Earth be the gravity of the ambient Air. Yet 't is not impossible , but that there may be somewhat also of positive levity conjoyned therewith . Most certain it is , that there must be a tendency of receding , as well as a tendency of approaching the center of the Earth , and other attracting body . And there may be much said for the supposition , that the recess of the purest Aether , from the center , is the cause of the motion of the grosser Aether , and of all other bodies towards it , though there are also very considerable arguments against it . But this discourse is not my present business , though it may hereafter be the subject of a Lecture in this place ; for upon it do depend some of the greatest operations in the universe . And as in the History of the Creation , we have an account of the production of light , immediately after the making of matter , which is a motion of recess from the center of the shining body . Next that , a Firmament which divided between the waters or the fluids of the one , and the fluids of another part of the world . And in the third place , the collections of particular fluids to one center , as the center of the Earth : and lastly , out of that collection of fluids appeared the dry and solid land . So I conceive the most proper way of speculating on these great productions of the omnipotent Creator , may be to begin with the consideration of light , or the motion of recess from the center of a body . Next , with the consideration of the cause of the separating of fluid from fluid , as Aether from Aether , as I may so call differing Aethers ; because we have not yet distinct names in use , and the reason of their conglobation , the Aether from the Air , the Air from the Water , the Water from Quicksilver , Oyl , or other fluid . Thirdly , the cause of the conglobating property of each of these fluids when separated , how they accept and embrace Homogenea , and reject or expel Heterogenea . And fourthly , how they condense and settle together , and produce a solid body : whence proceeds the confirmation of attraction or gravitation , &c. But to digress no further , but conclude this part of enquiry in short , I suppose the Nucleus or Star of the Comet may be much of the like nature with the central parts of the Earth , Moon , Mars , Jupiter , Saturn , or other Planets , but much impaired in its attractive or gravitating power . Next , that the Coma or Hazy Cloud about it , may be of the nature of the Atmosphere or Air about the Earth , or the Smoke or steams about a heated or burning body , before they are quite kindled , converted into Flame , or dissolved into the ambient Air. Thirdly , that the Tail or Blaze is much of the nature of the parts of Flame , though with those differences I conceive , that the parts of these steams are not so close together , as are those of Smoke : nor doth the motion of them , though much swifter upwards than that of our Flame , serve to make them appear a shining line ; but being at that distance , they appear much slower to the eye , and so discontinue the appearance ; whence every shining particle appears only a shining point , though in the parts of flame ( where notwithstanding the motion be much flower , yet being nearer , and so varying the position to the eye much quicker ) each of the shining parts makes an appearance of a line of light , and all of them passing pretty near together , make the appearance of a continued fluid flame ; though that indeed be nothing but a great number of single parcels of the burning body , raised up in the particles of Smoke . This will appear evident if we consider the appearances easily to be taken notice of in light : for 't is obvious from multitudes of experiments , that any shining body , as a candle or brands end , being moved very quick , makes the same impression on the eye , that a line of light doth standing still : And as obvious also that any very light body incompassed with a dark medium appears to the eye under an angle bigger than really it is , and a dark body encompassed with a light medium much less . This any one may presently find , if he make a small hole through a thin plate of metal , and holding it first between the light and the eye , and so seeing the light appear through it , and then placing it so as there is nothing but darkness appears through the said hole , for he will plainly perceive that the same hole will appear much bigger in the former position than in the latter . Upon this account indeed each of the shining parts of the Comet seems to fill and occupy a much greater space than really it doth : and so , as 't is observable in the milky way , a great number of these small shining bodies though dispersed at a pretty distance one from another , yet by reason of the imperceptibleness of each of them they all seem to coalesce into a stream or Blaze of light , the brightness of which is yet farther augmented by a clear and unenlightened air , and by such a part of the Heaven wherein there appears fewest of the Stars , whether they be greater or lesser . To the Query , Of what magnitude the Body , Coma , and Blaze of Comets may be ? No answer can be given until another question be first answered ; and that is , What is the place of Comets , and what is their distance from the Earth ? It was the opinion of most Modern Writers before Tycho Brahe and Kepler ( I know divers of the Antients thought otherwise ) that Comets were sublunary Meteors , drawn up into the higher Regions of the Air , and there set on fire , and so continued burning till the Meteor were consumed ; and as the matter increased , or wasted , so did the appearance of the Comet . But this noble Dane , and several others about that time found by accurate observations made , that its Parallax was less than that of the Moon ; and consequently , that it was farther distant from the earth : that it must be a body of another magnitude , and nature , than most before that time had imagined ; and therefore that it ought to be otherwise thought of than the generality of mankind believed concerning it . Many had been the attempts of former Writers concerning them , to find out their parallax ; and whether from their unaccurate instruments , or from their less skill and diligence in using them , or from an imagination of the solidity , and impenetrability of the Coelestial Orbs , or from error in their calculations , or from comparing Observations made at distant places , one or both whereof were unaccurate , or from a prepossession of Tradition or common Fame , or from what other cause soever it were is uncertain ; but 't was generally concluded by them , that all Comets were sublunary Meteors : and there are not even at this day wanting some of the same opinion , though for what reason I know not . 'T will be hard to convince some of these , that the opinion they have hitherto received for good , is not so , because they will hardly give themselves the trouble of examining strictly into the matter : And to understand the nature of Parallaxes , and how significant they are in determining the distances of bodies from the surface of the Earth , to certain degrees thereof ; beyond which , by reason of the imperfections in Instruments , and Observations , and the exceeding niceness and curiosity necessary , they signifie very little . It is not my present design to explain what Parallax is , that I would suppose my Reader to understand ; otherwise there can be no reason shewn him to convince him that 't is possible to prove that this or that Comet was not nearer than so many semidiameters of the Earth , nor farther off than so many . There are then two ways , by which we may come to some certainty of what distance a Comet is ; and those are , first the Parallax of its Diurnal motion , or its Parallax caused by the Diurnal motion of the Earth . And secondly , the Parallax of its proper motion compared with the Periodick or Annual motion of the Earth . The first of these may be observed two ways ; either by two Observers at parts of the Earth very far distant from each other , but as near as may be under the same Meridian : as suppose the one in London , the other in St. Helens ; both conspiring in their observing of the place of the Comet amongst the fix'd Stars at the same time . Or secondly , by one Observer in the same place , by observing the place of it amongst the fix'd Stars , in its rising or setting , and in a greater , or if it may be , its greatest height : The noble Tycho by very accurate Observation of the Parallax , proves the Comet of 1577. to be above the Moon . Kepler by his own Observations proves that of 1607. at its beginning to be four times farther distant ; and I doubt not but some may have been above forty times farther . But I do not yet find that any Observations have accurately determined that which is indeed the great help by which we are inabled to judge of the nature , and all the other accidents and proprieties of Comets . The Aristotelian Philosophy for a long time prevailing , made the world believe them to be nothing but Exhalations from the Earth , drawn up into the higher Regions of the Air. But Tycho by his Observations of their Parallax , raises them out of that confinement , but yet he seems to place them in an Orb about the Sun. But Kepler frees them from that confinement , and assigns them the Universe to expatiate in . But none of all these do accurately prove the true distance of them , their Parallax being for the most part so very small , that I fear Instruments with common lights will hardly reach them . But we must expect from future observations made with Telescopical Instruments to receive a certain Answer to this Query . Certain I am , that the Comet which began to appear in November 1664. and disappear'd in March following , was far removed beyond the distance assigned by Kepler . For by my own Observations divers times repeated , I could not find any sensible Parallax , though I endeavoured by a new method to make my Observations more accurate . Now though I had not the convenience of making use of a Quadrant , or any such Instrument , to observe its place when near the Horizon , yet the way I took , would , I think , be as good ; which was this : With a very good six foot Perspective-glass or Telescope , I observed the place of the Comet , in respect of the adjacent small Stars , as soon as it appeared , and so traced its way till it disappeared in the vapors of the Horizon : the like I did several other days successively , taking notice by what degrees , in what times it made its progress , to see whether by its Parallax , when near the Horizon , it would have been deprest below that line of its motion , which it kept , when at a greater height above it . But though I tried this several times , yet I was not able to discern that the Parallax of it caused either any sensible bending of the line , or any sensible inequality in its progress , by which I should have sooner found it , than by taking its altitudes with common Instruments : though I confess these Observations were made when the motion of the Comet was slow , and consequently , when in probability it was far distant from the earth . To me there seems no doubt but that it was a long way removed above the Moon when I made these Observations : for had it been of an equal distance with that they allow the Moon , it must this way have manifested a very sensible Parallax of divers minutes : but whereas I could not certainly distinguish any sensible at all , it must be many times higher than the Moon . Now that this way is abundantly to be preferred before an Observation made with a Quadrant for the taking of its altitude , is pretty evident ; because , by this means the greatest part of the irregularity , caused by the refraction or inflection of the Air is removed ; for by this means , though the Parallax be very large , yet the refraction or inflection of the Air will not amount to many seconds , both the objects being almost equally raised by refraction , especially when 5 or 10 degrees high ; nearer than which the small Stars vanished out of sight by the thickness of our air . It follows therefore that a Semidiameter of the Earth must be a very inconsiderable measure in its distance . This part therefore of the Theory of Comets hath been much defective hitherto . If we enquire the Parallax of them from the Observation of divers men made in differing places ▪ we shall find them so differing one from another , that there is great reason to suspect them all : Nay , not only so , but in this Comet of 1664. by comparing two Tables or Charts of the Stars , and Constellations of that part of the Heavens , through which the Comet past , on which was also markt out its way and place from day to day , both of them Printed from Copper Plates , I find that strange errors and mistakes may be created , notwithstanding all the Authors care and accurateness possible , from the carelesness or neglect of the Graver : This I noted in the two Tables of the learned and accurate Mathematician , P. Aegidius Franciscus de Gotignies , ( whose skill and care from other works of his and other Observations of this Comet I am sufficiently assured of ) and found that by the first table upon the 21 / 31 of December , 1664. it was in 4½ of ♊ in Longitude , and in 33⅔ of Southern Latitude ; but by the second it is placed at the same time in 4 o ♊ for its Longitude , and in 34½ of South Latitude . And this error is not only committed in the place of the Comet , but also in the place of the fix'd Stars : for Riget in the first Table is placed in 30¾ South Latitude , and in 12¼ ♊ for Longitude , but in the second in 31½ South Latitude , and in 11½ ♊ for Longitude : both which differ considerably from the place of it assigned by Riccioli and Grimaldi ; according to whose Observations it should be in 31. 11′ South Latitude , and 12° . 11′ . 40″ . ♊ in Longitude . Now if there be these differences to be remarked in the Observations of one , we cannot but expect that much more disagreement should be found between those which have been made by differing persons in differing places , and with differing ways , and differing Instruments . And upon examination I have found it no better : for from comparing such Observations as I have received from several parts of the world , even of those which have seemed more than ordinarily exact , I find them for the most part so unaccurate , that though they sufficiently manifest that the Comet of 1664. which lasted above four months , was visible in most parts of the world , and seen to pass in all those places pretty near in the same way amongst the fixed Stars . Yet they are so far from manifesting the Parallax , that some of them make the place of the Comet to be quite contrary to what Parallax would make it ; some of the Southern Observators placing it much more Southwardly than those of the North. Others indeed of them make the Parallax so great , that one might ghess it to be not so far removed from the Earth . Something indeed in the general might be ghest of the way of that Comet amongst the fix'd Stars , especially when it approaches them pretty near : but for exactness of Calculation for Parallax , they were no way useful . And even in the former use too it seems very doubtful for comparing the Charts of the Comets way amongst the fix'd Stars published by that diligent and unwearied Observer Mr. Hevelius of Dantzick , the above-mentioned P. Gottigies , Professor at Rome , and Monsieur Petit of Paris , I find , that the two former make the way of the Comet to lie below the Star in the Bill of Corvus ; whereas the later , though in a Latitude interposed between the parallels of the former , makes it to lie above , or to the North of it : and with him agree some Observations which I have seen of Monsieur Hugenius . Other disserences I found between those Tables in the way of the Comet of 64. near the middle of its arch ; wherein Monsieur Hevelius all the way places it more Southward than either Monsieur Petit , or P. Gottignies : for whereas both P. Gottignies , and Mounsieur Petit make it pass above the Star of the third magnitude in the right shoulder of Lepus , Monsieur Hevelius makes it move below it , which seem to be ascribable to Parallax . But I fear much cannot be concluded of certainty from them . I shall not trouble the Reader with a multitude of other Histories , which I have received concerning that Comet of 64. nor with the disagreements of them one with another , and perhaps of most with the truth . They have given me sufficient trouble in the examination of them , having little other benefit from them , save only this , that I was thereby informed what a man might think of a great number of Astronomical Observations that have been made : for , saving the exact Observations of some few such , as Mr. Hevelius , Mr. Aurout , P. Gottingnies , &c. truly diligent and accurate men , the greater the Collections of Observations are , the more trouble and difficulty is created to the Examiner ; they not only confounding one another , but perplexing those also which are real and perfect . Now the reasons or causes of these inconveniences seem to be these . First , the want of accurate and knowing Observators . Secondly , The scarcity of convenient Instruments . Thirdly , The Imperfection of the Tables of the fix'd Stars . For the Observators , 't is not enough to know how to manage an instrument , or to have a good eye , or a dextrous and steady hand ; but with these there must be joyned a skilfulness in the theorical and speculative part , and add to all a love and delight in the thing it self ; and even all these will signifie but little , without convenient and accurate Instruments , such as may be easily manageable and sufficiently exact . The first of these the love of the study being in it self the most excellent , or the encouragement of Princes , Noblemen , and other Patrons of this Learning must procure : and where both of these concur , thence most is to be expected , and most fruit hath hitherto been proceeded ; though there are not wanting divers eminent instances where the first reason hath been the only inducement . As to the second , I have already in some of my former Lectures described several convenient ones for these purposes ; and therefore I shall not here add any more concerning it . But as to the third , I hope the indefatigable labour and skill of Monsieur Hevelius will shortly supply the present defect , though it had been much to be wish'd , that the Instruments he had made use of had been fitted with Telescopical sights . These Tables , if well done , will alone ( as to the business of Comets at least ) supply the place of all other Instruments almost , save only a thread , especially if they be so delineated in Tables after the Tangent projection , as that the minutes of every degree may be very distinguishable , which will not swell the Maps of the Heavens into an extraordinary large volume , and may possibly be the cheapest Instrument for this purpose an Astronomer can be furnished withal ; for having such a volume of Tables , it will be very easie with a thread and one's eye , screen'd only with a spectacle made of a thin plate of Brass , with a small hole through it , instead of a glass , to observe what place the Comet possesseth amongst the fixt Stars : for having by the help of the said thread observed what two Stars lie in the same line with the Comet on one side of it , and what other two Stars lie in a line with it , which is at right angles ( as near as may be ) with the former line , by finding out those four Stars in the Tables , ordered according to the Tangent projection , and with a Ruler , drawing lines over them respectively , where those lines do intersect , there will be the true place of the Comet , from which it will not be difficult to find out the true Longitude and Latitude of it by a Sector with Tangents . Now as these Tables of all the fixt Stars visible to the naked eye , would serve for finding its place whilst very big and swift of motion ; so the like Tables of the small Telescopical Stars that lie near its way , when almost disappearing , and moving very slow , will by the help of a pair of measuring Compasses placed within the eye-glass of the Telescope , and a straight line or hair drawn cross it , serve to find the true motion and way of it , when only visible with a Telescope : according to which method I made the annexed Schemes , and Observations of the last appearances of the Comet . Now since neither from my own , nor from any other Observations that I have hitherto met with , there can be any certain conclusion drawn of the distance of these Comets , save only this , that their distance was very great , and much higher than the body of the Moon , because else there must have been a considerable Parallax caused by the Diurnal motion . The next enquiry will be , what other ways there are of knowing its distance . Now though none could be more demonstrative than the Parallax found this way by the Diurnal motion , yet there are some other which seem more easie arising from the consideration of the motions that may be thought to be concern'd in the producing the appearances . And though they be wholly hypothetical , and so need some other arguments to prove the ground and principles on which they are founded , yet since there are not very many considerable ones wanting to make them probable and rational , I shall here add somewhat of my inquiries after the distance , position , motion , magnitude , &c. of these Comets by these means . Of these ways there are several depending upon several suppositions which produce very differing effects , as to the magnitude , distance , motion , and way of the same Comet . The suppositions are these : Either that the Earth moves in an annual orb about the Sun , as the Sun is supposed by others to move about the Earth : Or that the Earth is perfectly fix'd , and hath no such motion . Next , that the Comet moves either in a straight line ▪ or in a curve line ; and the curve is either a circle , or some other regular or irregular curve . Further that the motion of the Comets in these lines is either by equal or unequal spaces in equal times . Now according as we take this , or those of these differing suppositions , and compound them together , so will the product of them be strangely differing . Amongst the great variety of compositions of these principles or suppositions , these seem the most simple , and consequently being any otherwise proved , will best determine the true distance and way of the Comet . First , To suppose the Earth to stand still , and the Comet to move equal spaces in equal times in a circle . Secondly , To suppose the Earth to move in an annual Orb about the Sun , and the Comet to move through the Aether or Expansum , equal spaces in equal times in a straight line . Thirdly , To suppose the Earth to move ( as above ) in its annual Orb , and the Comet also to move equal spaces in equal lines in a circle . The other are indeterminate and infinite , and nothing can be concluded from them as to the distance , magnitude , motion , &c. of Comets ; for the line or way of the Comet may be placed at any distance , if we will suppose it moved in an uncertain curve , with unequal degrees of velocity : And indeed , upon a supposal of an inequality of motion , nothing of its way or distance can by any of these suppositions be found out . This fault had that of Tycho Brahe , where he supposed an unequal motion of it in its Orb about the Orb of Venus , which was founded upon the first Hypothesis , but had introduced into it some inequality of motion ; besides his own supposition , that it was moved about the Sun , and the Sun about the Earth . See the fifth Figure . Keplers way , which was after the second Hypothesis , had the same fault ; for he supposed the annual motion of the Earth , and the motion of the Comet in a straight line , but introduces an acceleration of motion in the Tangent towards the latter end . The third way I have here taken , and from the best observation I could meet with , I have delineated its respects or angles to the Sun : and accordingly supposing it to move equal spaces in equal times , in a curve which for so much of it as the Comet was observed to pass was very near a Circle , I found this Circle would fall as it is express'd in the seventh Figure , where 't is obvious to take notice , that when the Comet was nearest to the Earth , namely , about the 19. or 20. of December , that it was not nearer than an eleventh part of the distance of the Sun ; that on the 23 , it was twice as far , that on the 29. it was four times as far ; that on the 15. of January it was as far as the Sun , and on the 14. of February it was above twice as far distant as the Sun. That this way or Orb of the Comet is here bended so as ( if it were an entire Circle ; ) one part of it would go without the Orb of Jupiter , as the other which is here delincated comes within the Orb of the Earth ; that the plain of this Orb is inclined to the plain of the Ecliptick about 18 degrees , that if from several parts this Orb perpendiculars be let fall upon the Plain of the Ecliptick , those perpendiculars shall fall in an Ellipsis , part whereof shall fall within the Orb of the Earth in ● , and the opposite without the Orb of ♃ in ♒ . That the Comet moves a Sextant of this Orb in about 130 days , and consequently if its motion should continue the same in such a Circle , it would appear about February , March , or April , 1667. but being so far removed towards the South Pole , will here hardly be seen : but by those that live towards the South , it may appear to have some such motion by the South Pole , as that of 1618. had by the North. And 't is not impossible , but that the Comet of 1618. might be the same with this , if we suppose the Nodes of it to have a motion contrary to the order of Signs : and that the same Node which in this Comet , according to this supposition was in ♊ , was then about ♍ or ♐ : but these as conjectures I shall not insist on , because neither in this , nor in that have we Observations sufficiently accurate to build any Theory upon . Now though upon these suppositions the motion and appearances of the Comet seem to be very regularly , and very naturally made out , yet 't is not the only Hypothesis for that design : nor do I believe it so evident a demonstration for that end , as some would suppose ; though for other reasons I am apt enough to think that opinion of the Earths motion very probable : but the motion of this Comet is so well made out , by the contrary supposition , that I think it may be alledged for a greater argument against the motion of the Earth , than for it : for if we only grant one of the former postulata , namely , that the body of the Comet is moved equal spaces in equal times , and a quite contrary postulatum to the former ; namely , that the Earth remains fix'd as to an annual motion , we may find all the observations of this Comet , especially the most accurate of them , to happen so , that the Comet being supposed to be moved in a great Circle , whose convex side is turned towards the Earth , whose center is extended towards the fix'd ✴ in ♋ and whose Semidiameter is about sixscore times the nearest distance of the Comet from the Earth , and the Comet be supposed to be moved very near equal spaces in equal times , we shall find , I say , all the appearances most exactly solved , and indeed much more exactly than by the other supposition I was able to find any ; for by this supposition both the magnitude , longitude , latitude , retrogradation , station , and direction of the Comet is most exactly made out as any one might have found that should have by this means examined with me the observations I have hitherto either made or met with : and indeed all the Observations hitherto have so well answered this Hypothesis , that I do almost promise my self to be able to see this Comet a month or six weeks hence , after the Sun has past by it ; if by its exceeding elongation it be not quite grown out of sight , as it is now indeed already so exceeding dim , and faint , that it cannot be seen without a very good glass , which will endure an exceeding big aperture : nor could I these two last nights perceive it , though the Air were clear ; but the reason I attribute to its nearness to a fixed ✴ of ♈ : This Hypothesis is explained in the seventh Figure . By this supposition the return of the Comet will be much longer , and the time of seeing of it much more uncertain ; because the curvature is so little that the making the circle a twentieth , or a sixteenth part bigger or less , does not much alter the regularity ; whence 't is exceeding difficult , unless we had much more accurate Observations than I have hitherto met with , to determine exactly the bigness of the circle , and consequently the time of the return . And by this supposition the Comet may be supposed either nearer or farther from the Earth at any distance , which is not contradicted by a Diurnal Parallax ; that is , it may be supposed either above Saturn , or below the Moon , or in any place between ; by supposing only , that the farther the nearest part of the Circle is distant from the Earth , the greater must that Circle be , and the swifter the motion of the Comet in it : to prove which affirmation , let in the Eighth figure A be the Earth , BCD the Orb of the Comet supposed very near the Earth , and EFG the Orb of it supposed at a greater distance : let H be the center of BCD , and I of EFG , and let AC , be to CH , as AF , to FI , all the lines drawn from the point A , so as to cut the Circles BCD and EFG , shall divide those Circles EFG , and BCD , into similar segments : as let ABE be a line drawn cutting those Circles in B and E : I say , the Arch BC shall be similar to EF. In which Hypothesis if we have together with the place of the Comet when stationary , the place of it when in its greatest celerity , perige , or the places of it when of the same celerity on each side of its perige , we have from thence the proportion of the Radius of its Orb to the perigean distance , and consequently all the other distances , the line in which it appears when stationary , being the Tangent to the Circle in which it moves , as ABE , to which a Perpendicular raised at BBE , and produced till it cut the line AC , ( produced ) at HHI , it gives the Center of its Orb HHI , and the proportions of the lines AB , AC , BH = HC , or of AE , AF , EI = FI , the Angle BAC , being given by observation . So that by this Hypothesis the Phaenomena of the motion and bigness of the Comet will be solved , though supposed of any distance . Nor are these the only Hypotheses by which the hitherto observ'd Phaenomena may be solv'd : for if we will admit an unequal motion , such as is now granted to all the Planets : and if further we will admit it to be moved in an Elleipsis , or other such like curve , there may be divers other Hypotheses that will solve the Phaenomena ; so that the Comet may be supposed to have no motion at all as to Longitude , but only as to Latitude : that is , it may be supposed to be moved in an Elleipsis , described in a plain which shall be at right Angles with the plain of the Ecliptick , and the ways of the Earth in it : it may be supposed also to have been mov'd direct , according to the order of the signs , that is , to have been first about Gemini , in respect of the Sun , and to be now in some part of Leo : And it is not impossible to solve the phaenomena of its periodick or proper motion , though it be supposed not so high as the Moon , and that the motion of the Earth passing by it did really alter its motions , had there not been made some Observations about the Parallax of it , which prove it higher : so that according to this or that Hypothesis which we take , the time of its return , if permanent , will be longer or sooner . And these Hypotheses may be so various , that till regulated by very exact Observation of the Parallax , 't is not to be hoped that the appearance of a Comet can be certainly predicted : So that I fear the prophetick saying of Seneca , Erit qui demonstret aliquando in quibus Cometae partibus errent , cur tam seducti à caeteris eant , quanti qualesque sint , will hardly be verified at this time by the help of this present Comet . Though in truth I cannot find by the examination of several of them , but that they all seem to promise very fairly a return of it : for all the Calculations I have hitherto made of its motion , seem to cast it into a circular , and not a into straight line , as Kepler supposed ; and indeed upon examining even Keplers own Calculations of those Comets which he observed , and has endeavoured to make to move in a straight line , I cannot find that any of them will be found to move equally in such a line : but to solve the appearances , he is fain to make them move in such supposed straight lines , by a line of Tangents , that is , to make the motion of Comets accelerated the further they are moved ; all which Phaenomena may be very easily solved by supposing them to have moved equal spaces in a curve or circle . The physical reason indeed seems pretty difficult , by what means it should be confin'd or bound so as to move in a Circle : but this is no more than is usually supposed in all the Planets , and without supposing a kind of gravitation throughout the whole Vortice or Coelum of the Sun , by which the Planets are attracted , or have a tendency towards the Sun , as terrestrial bodies have towards the center of the Earth . I cannot imagin how their various motions can with any satisfaction be imagined , but that being granted ( for which had I now time , I could alledg many reasons , and may do it hereafter on another occasion ) not only the reason of all the irregular motion of the Planets may be easily found , but the reason also of the strange and various motions of the Comets . The reason why its Beard is for the most part opposite to the Sun , which was another Query , of which I have already said somewhat of my suppositions , and shall now add , that the brighter spot or kernel in the middle did seem to be some kind of body , which though it be not actually burnt , may yet by the encompassing fluid Aether be dissolved and wasted , and those dissolved parts may ascend upwards , or from the center of the Sun , ( which seems indeed to be the center of gravitation throughout the whole systeme of it . ) To illustrate which explication , I could produce several experiments which would make a perfect representation of the phaenomena of the body , and beard of the Comet : I shall only instance in one . Take a very clear long Cylindrical Glass , which may hold about a quart of water ; fill it three quarters full with water , and put into it a quarter of a pound of Oyl of Vitriol , and in the midst of this suspend by a small silver wire , a small wax-ball , rould in filings of iron or steel , and you may plainly observe a perfect representation of the Head , Halo , and Beard of the Comet ; for the menstruum falling on , or dissolving the iron , there is a continual eruption of small bubbles , and dissolv'd particles from all the sides of this body ; and after the eruption they all ascend upwards from the center of the earth ; for being of a much lighter consistence than the anbient liquor , they are by the greater gravity of that , continually protruded upwards . The same appearance may be made with any kind of menstruum , and a convenient dissoluble body suspended in it ; so that if we suppose the Aether to be somewhat analogous to a menstruum , and that there is a gravitation towards the center of the Sun , if the Nucleus or head of the Comet be supposed such a dissoluble substance , the phaenomena of the shape of the Comet may , I think , be rationally explained . Now that the Aether may have such a kind of propriety , seems to me to be argued from this , that the Air about the Earth seems to owe its original to it , it being only a dissolution of terrestrial bodies into the Aether , the Aether being the principal fluid body , and greatest part of this dissolution ; and the substance of the Air , some very few and small saline and earthy particles : of which elsewhere . By this Hypothesis the phaenomena of the Comet may be solved ; for hence 't is easie to deduce the reason why the Beard grows broader and broader , and sainter and fainter towards the top : why there is a Halo about the body ; for this will appear clearly in the experiment : why the Beard becomes a little deflected from the body of the Sun ; for if the dissolving Ball be by the wire mov'd either this way or that way , the arising stream or bubbles will bend the contrary : and to countenance this supposition , both in those Comets observed by Tycho , Kepler , and also in this last the beard was contrary to the motion ; so that the head or body going faster , seemed to leave the beard or tail somewhat behind : by this supposition also 't will be easie to explicate why the beard is sometime bended , and not straight , and why it is sometimes brighter upon one side than upon another ? why the bottom of it is more round , and the other sides more undefin'd ; and divers of the like phaenomena . Against this supposition it seems difficult to conceive whence so vast a body should be generated ; next , how it should be able to supply such a constant stream of ascending parts , and yet last so long as this has done , almost a quarter of a year . Thirdly , Whence such a newly generated body should receive so great a degree of motion . In answer to which , I say , 't is not impossible but that the body of it may be as old as the world , and that it may have then received its first determination , or laws of motion , and may have ever since preserved them , that it may have been all this time also in dissolution , and yet not be quite wasted ; and that it may continue yet for many ages before it be quite dissolved into the Aether . And to make this probable , divers experiments and reasons might be alledged , as that of the slowness of the wasting of many bodies , by the dissolution made on them by the fire : the slowness also of the dissolution of multitudes of bodies in menstruums . And I have already shewn how small a quantity of dissolved particles will be able to make as great a shew of light : besides that , the motion of the ascending stream or beard being but slow , there needs no very quick supply of other parts . We see also into what a vast quantity of smoke a small parcel of a combustible body may be turn'd . From all which particulars , 't is not unlikely but that the Comet may be a body moved with a regular circular or elliptical motion as the Planets are , that it may be a body of such a constitution , as that the fluid Aether through which it passes , may dissolve it much after the manner as a menstruum ; ( such as Aquafortis , Spirit of Niter , &c. ) does a dissoluble body ; that by this means there may be a slow , but continual eruption of somewhat opacous parts , which may by their dissolution afford a sufficient quantity of light to make as great an appearance as any of the Comets , that this stream or beard may by the resistance of the Aether be a little deflected backwards in the same manner as an ascending stream of smoke will be by the resistance of the Air , if the burning body be mov'd this or that way through it , that the body of the Comet may be both as ancient and as lasting as the world ; and that this which has lately appeared may have appeared heretofore , and may likewise hereafter appear again ; that 't is probable the nearest distance of it was much greater than that of the Moon , that the length of its Beard was longer than its distance from the Earth , and consequently several times longer than the distance between the Earth and the Moon ; that its visible way among the Stars was very differing from a great circle , especially towards the latter end , when it became retrograde ; that its way through the Aether could not be supposed equal in a straight line , though it might be supposed equal in a curve or circle , that the exact way of it could not be certainly determined by the best Observations I have yet met with : and that therefore the best help we have to ghess of its way and distance , is by its manner of moving , as to appearance among the fixed Stars , which I have already shewn to be explicable by various Hypotheses : for both the Earth and Comet may be supposed to be moved , either both one way , or contrary ways , or cross ways , the Earth may be supposed to stand still , and the Comet only to be moved , and the like . These Requisites therefore being hitherto wanting in the Observations I have met with of this Comet , all that can be said of it will at best be but conjectural and hypothetical ; since nothing can be reasonably built upon those Observations where the truth of them is dubious ; wanting therefore sound materials to work upon in this Comet , I had recourse to the Observations of the noble Dane Tycho Brahe , being sufficiently satisfied both of the ability , industry , and veracity of that excellent Author , who left nothing unattempted for the perfecting of such Observations as seem'd to him requisite for the compleating a History of that Comet which appeared in 1577. And from those Observations of his I endeavoured to trace the way of it according to several hypotheses ; and found , that supposing the Earth not to be moved with an annual motion , but only a diurnal about its own Axis , the way of Comets will fall in a line very near approaching the nature of a circle , though neither into an exact circle , nor an exact ellipse ; and therefore seems irregular , and not at all probable . Again , supposing it moved about the Sun , as Tycho has done , we find from his Calculation of it , he was fain to allow it a quicker and slower motion in its Orbit , to solve the Phaenomena , which seems to me but a shift , that will serve to help out any lame Hypothesis whatsoever : And that granted , and the Parallax of the Comet unknown , I will undertake very easily to make out almost any Hypothesis , which is the fault also of Mr. Horox his Hypothesis , wherein he supposes the Earth to be moved about the Sun , and the Comet like a Rocket to be shot out of the Sun , and by degrees to return to it again ; in which Hypothesis indeed there seems to be much more reason for an inequality of motion , though not in the manner as he has placed it ; 't was very rational that the motion of it at first , if cast out of the Sun , should be very swift ; but then it ought likewise to have accelerated its motion in the same manner in its return back to it again , which it does not in his Hypothesis ; for a stone or any other heavy body being shot up into the Air , does make its return back again to the Earth , almost by the same degrees of velocity , by which it ascended from it : almost , I say , because the resistance of the Air does so far impede the motion of the body through it , that it never suffers it to acquire the same degree of velocity with which it was first shot upward . This is sufficiently evident from a Pendulum , which if it be thrown upwards , and be suffered to return back , it will never rise again on the opposite side to an equal height , with that it descended from , on that side towards which it was thrown : but besides , in his Hypothesis he seems to take no notice at all of the Latitude of the Comet , which seemed to carry it much farther off from the Sun , when he supposes it to be returning nearer . And indeed upon the whole his Hypothesis seems rather a product of chance than of any contrivance . For he in endeavouring to set off the Longitude of the Comet according to Tycho's Tables , and to trace its way by supposing the Earths annual motion , making use always of the same Radius to set off the aspect , or apparent angle of it with the Sun , his line of Chords he made use of did always direct the point of his Compasses to the place where he situates the Comet , as may be easily found by examining the ninth figure ; where you may find that he places the Comet always equally distant from the Earth , and that distance is always equal to the distance of the Sun , which has so many inconveniencies and improbabilities , that I shall not insist farther on it ; especially since I do not find that he bestowed any farther pains in explicating or cultivating this his Hypothesis , than only the bare delineation of this ninth figure . But to return to Tycho's Hypothesis , if that be true , why did not the Comet again appear after a certain space of time ? and why could not he have foretold when it should again appear , as well as he could predict the appearance of Venus , about whose Orb he supposes it to circulate ? I shall pass by several other very material objections that might be made against that his supposition , because many of them might be made also against his Hypothesis of the Heavens in general , which I shall the rather omit , because I do not find he has many followers in that supposition ; the generality of Astronomers embracing rather the Copernican System , especially as it is refined and rectified by the ingenious Kepler . Lastly , I endeavoured to trace the way of the Comet from Tycho's Tables , according to Keplers Hypothesis ; which was , that the appearances of the motion of the Comet were ascribable to two causes ; namely , the motion of the Earth about the Sun in its annual Orbit , and the motion of the Comet in a straight line , not accelerated according to the proportion of the increase of Tangents ; but upon supposition that it mov'd equal spaces in equal times : ( for I cannot imagine what reason he had to suppose its motion to be accelerated , and much less why he should assert it to be according to the proportion of Tangents , which in a little time must necessarily come to move infinitely swift : than which nothing is more hard to be granted . ) And I found it after many trials and essays to fall in a straight line , inclining to the plain of the Ecliptick by anangle of 47. 40. and cutting it in 9 degrees of Scorpio , if computed out of the Sun , and moved faster by half than the Earth in its Orb ; and this to so great an exactness to answer all the Observations of Tycho , that from a very large Scheme which I drew of it on a plain , I could never find many minutes difference ; so that I concluded that to be the most likely Hypothesis for that Comet , it seeming to solve all the several Phaenomena of the motion and magnitude of the Comet , with the least imaginable difficulty , and to be most agreeable with my physical notions of Comets : For , first it only supposes a solid body moved in a fluid , with an almost direct motion . I say , almost direct , because for some physical reasons , as I have said before , I imagine it not exactly straight , but inflected a little towards the curvity of a circle , which I shall presently endeavour to explain farther in this Comet . Next , it supposes that body to move in that line almost equal spaces in equal times ; I say , almost equal , because some of those equal spaces may be increased by an accelerating cause or principle , such as that of a gravitation towards the body of the Sun , placed in the center of its Vortice or System , when the motion of the Comet carries it towards the Sun , and may be diminish'd from other impeding causes , such as the impediment of the fluid medium through which it passes , and the attraction of the Sun operating on it when its motion carries it farther and farther off from it : besides , 't is not unlikely , but that the attraction of the Earth , or some of the other Planets may have some kind of influence on it , especially , when its line of Direction does somewhat nearer approach those attractive points . But the deflection from a straight line is always so much the less by how much the swifter the body is moved , and by how much the farther off its line of trajection is perpendicularly distant from those attracting bodies . According to this supposition of mine , I have endeavoured to make out all the appearances of this last Comet , taken notice of in the best observations I have yet met with , amongst which I find no one of the Parallax satisfactory , as in the tenth figure , let S represent the Sun , ORB , the Orb of the Earth , ACDEF , a bended or curve line in which the Comet is supposed to move : the Comet then coming into the Sphere of the attractive power of the Sun , by the straight line PAG , at A , the power of the Sun worketh on it , and by degrees attracting it towards its own Center by that time the Comet hath moved to C , the attractive power hath deflected its direct course from PAG , to CH , and so the Comet would continue to move in that straight line CH , but it is still deflected so , that at D , it moves towards I , but the gravitation of the Sun attracting it , deflects it from that line towards E , and so from E to F , when it begins again to Jet out of the attractive beams of the Sun , and so it will continue to proceed , as if it had come to that point by the line MFL , the reason of which is the great velocity of these bodies , which are generally much swifter in their motions than the Earth or other Planets are supposed to be , in theirs . We must seek out some other way therefore of finding of the distance of Comets than the commonly used : I shall therefore somewhat further explain the contrivance I newly invented for this purpose , by which not only the Parallax of the Comet but of the Planets also may be found with great facility and exactness . Having a large Telescope prepared ( as I formerly directed ) with Eye-glasses capable of taking in an Angle of about two degrees at once , and furnished with a dividing Scale , observe when the motion of the Comet or Planets is not too fast , the position and distances of the small fixed Stars which are next adjoyning to the moved body whose Parallax you would find ; of these small fixed Stars you shall seldom miss a sufficient number , which will be taken into the glass at once , if at least the object-glass be allowed a very large aperture ; and having found such Stars as will be convenient for your purpose , be very diligent in taking , by the help of the dividing Scale , the exact distance of them one from an other , and when the body is highest above the Horizon , viz. in or near the Meridian , by the same means take the exact distance of it from two or three of the nearest and most conspicuous fixt Stars about it , and by the help of a plumb-line , hung likewise within the cell , near the dividing Ruler , find exactly the positions of all those bodies you take notice of to the Perpendicular or Horizon , which may be easily enough done , if together with a Plumb-line or Perpendicular plac'd within the glass you have also a small Diagonal thred fastned to a ring , whose circumference is divided into 360 degrees , and moveable so as by the finger easily to be turn'd any way , by which means this Diagonal thred may be made to cross over any two of the bodies you observe , and by observing what division of this divided limb the Perpendicular cuts , it will be easie to determine the exact position of those Stars to the Horizon ; this same may be done by the dividing Scale also , if that be fixt in a divided Circle which is movable , in the same manner as the thred is supposed to be . This Observation , with all other circumstances of it is likewise to be repeated at the setting or rising of the Planet or Comet , and again the next night when it comes to the Meridian , and in each of those observations the exact time is to be noted by a time-keeper , and the altitude by some of those I have before described , for by comparing these three observations together it will be very easie to find what irregularity in its motion is ascribable to its Parallax . And this will be so much the easier because the examination and reduction of it may be done ( with as great exactness as the observation can be made , ) by the help only of Ruler and Compasses , for all the distances will be set off by equal divisions of straight lines , the line also of the periodick motion , whether of the Comet or Planet , especially if the observations be made when the body is near an opposition with the Sun , which is much the best time , will be with sufficient exactness taken for a straight line , and the motion in that line may be supposed by equal spaces in equal times ; for the difference between the Tangents of the centesms of a degree to two degrees is not increased much more then 2 / 1745 that is not a quarter of a centesm of the hundredth part of a degree , which is much more exact than I fear our observations will ever be . Another way of finding the Parallax may be by the help of exact observations made by several persons at the same time , in places much differing in Latitude , though as near as may be under the same Meridian ( because of saving the trouble of Calculation , and for being assured that the observations were both made exactly at the same time ) each person by the help of very long Telescopes observing the exact distance of the body from the small fixt Stars next adjoyning . A third way of finding the Parallax of Comets is wholly new , and though hypothetical ( as supposing the annual motion of the Earth , and the motion of the Comet in a right line through equal spaces in equal times ) yet 't is founded upon a Problem in Geometry ( invented by the incomparable Mathematician , Doctor C. Wren ) which is truly noble and wholly new , and though it had been of no use in Astronomy , deserves none of the meanest places in Geometry , by the help of which ( which is much more than either of the other ways is capable of ) one may easily find the true parallax of the Comet , from any four exact observations of it , made at differing times in the same place : Nor does it require so nice and accurate Instruments and Observators as are altogether necessary in the other ways . The Problem as I received it , is this . Problema . Datis quatuor lineis utcunque ductis ( quarum nec tres sunt parallelae neque ab eodem puncto ductae ) quintam ducere quae à quatuor primo datis in tres partes secetur ratione & positione datas . Sint in Figuris 13 , 14 , 15 , 16 , 17 , & 18 , quatuor rectae ADC , BEC , AE , BD , productae versus K , γ φ , M , oportet quintam ducere ut KM , quae secetur à primo datis in segmenta KN , NO , OM , secundum datas rationes R , S , T. Fiat ut Rad S , T , simul sumptas ita CD , ad CF. Rursus ut Tad S , R , simul sumptas , ita EC , ad CG , ductis autem AGH , BFH , à mutua intersectione H , ducantur H γ K , H φ M , parallelae nimirum lineis AC , BC , quae mediae interjacent inter extremas , BD , AE . Denique inter puncta extremarum KM , ducatur Recta secans medias in NO . Dico segmenta KN , NO , OM , esse in Data ratione RST . Quoniam FD , parallela est ipsi HK , ergo ut CD , ad CF , ita K γ , ad γ H , & quoniam γ N , parallela est ipsi HM , ergo , ut K γ ad γ H , ita KN , ad NM , ergo ut KN , ad NM , ita CD , ad CF ; sed CD , ad CF , est ut Rad S , T , simul sumptas , ergo KN , est ad NM , ut R , ad ST , simul sumptas . Similiter quoniam EG , parallela est ipsi MH , & φ O , ipsi HK , demonstratur MO , esse ad OK , ut T ad S , R , simul sumptas ▪ Quare tres KN , NO , OM , erunt ad invicem ut R , S , T , ergo ducitur linea K M , cujus tria segmenta à quatuor lineis datis intercepta sunt in data Ratione R , S , T , & servata quidem positione sive rationum ordine R , S , T , quod erat faciendum . From the invention of which Problem 't will be very easie by any four observations Graphically to describe , or Geometrically to calculate the true distance of the line of the trajection of the Comet , and consequently to answer all those questions that can be demanded concerning the bigness of the body and head , and concerning the bigness and length of the blaze , and concerning the distance of it from the Earth in every part of its way when it was nearest the Earth , when nearest the Sun , where it cuts the Plain of the Ecliptick , seen from the Sun , and where seen from the Earth , with what Angle it was inclined to the said Plain , how swift the motion was , that is , what length it passed , in what time , when it must appear Stationary , when Retrograde , when disappear , and the like . According to this method I received at the same time , ( whilst it yet appeared very visible to the Eye , and was not Retrograde , ) the way of the first Comet delineated by the said person , which did very near solve all the appearances preceding and subsequent , which I have therefore here annexed in the Table expressed in the 19. 20. and 21. figures , where in the 19. is delineated the Place of the Sun in the Center of the Circle ♈ , N , D , I , ♎ , which represents the annual Orb of the Earth about the Sun , the points between N and D represent the places of the Earth in that Orbit in the days of November , and the lines drawn from them to the points in the straight line , represent the lines in which the Comet appeared in respect to the Sun ; in like manner the points between D and I , the places of the Earth in December , and the lines drawn from them to the straight line , as before the visible places of the Comet at those times , &c. The 20. figure represents singly the several Longitudes of the Comet at several times seen from the Earth . And the 21. represents the several Latitudes , at the several times , together with the true distances of the Comet at those times , both which are made out of the 19. figure , where E at the end of the line represents the Center of the Earth , from which to the figures in the prickt curve-line , are the true distances of the Comet , the Perpendiculars from those figures to the line EC are the signs of the Latitude of the Comet from the plane of the Ecliptick EC , the aforesaid distances being made the Radii . Now though according to my former Delineation the Comet seemed to take a circuit , as if it would within three years return to its former position , yet I am not wholly convinced that it moves in a circle or Ellipse , but I rather incline to the incomparable Keplers opinion , that its natural motion tends towards a straight line , though in some other suppositions I differ from him . As first that the Comet perseveres exactly in a straight line . Secondly , that after it has past its Perige it accelerates its motion in proportion to Tangents of equal Angles . Thirdly , that it either is extinguisht dissipated , broken in pieces , or burnt out into ashes . Fourthly , that it receives all its light from the Sun. Fifthly , that if the blaze were not made by the beams of the Sun passing through the head of the Comet , and so carrying the parts along with them , the blaze would not be opposite to the Sun. Sixthly , that the cause of the bending of the blaze is the refraction of the Suns raies in the body , and their being bent by the Aether as with a wind ( which is the opinion that the Ingenious Descartes follows also . ) To these I cannot consent , and I have many objections to several other of his opinions concerning this matter , which would be too tedious to insert ; only I shall add , that having traced several of the Comets according to the best observations I could get , I found it very difficult to make their motion fall in a straight line , unless it be granted that their motions are really accelerated and retarded in that line , which seems not so probable , at least not in those parts of their transit where he places them . And particularly by tracing the way of this Comet of 1664. it is very evident that either the observations are false , or its appearances cannot be solved by that supposition , without supposing the way of it a little incurvated by the attractive power of the Sun , through whose system it was passing , though it were not wholly stayed and circumflected into a Circle , as I have already mentioned . That it is not extinguisht or quite burnt out , when it ceases to appear , I argue from this , that I was able to see it with a Telescope above a month after it disappeared to the naked Eye , as may be seen by the observations I have annext in Fig. 4. and had not the cloudy weather and the light of the Moon , and nearness of the Crepusculum hindred , I suppose I might have seen it much longer , as I am apt to believe the great one in 1618. might have been seen several months longer , if it had been diligently followed with Telescopes , it disappearing in such a part of the Heavens as might have been seen every clear night between the Crepusculum and Dawning . Nor can I suppose it to receive all its light from the Sun , since if so it would follow , that the Nucleus in the head , would have a dark shadow opposite to the Sun , the contrary of which has always been observed . Nor can I well understand that the Sun beams are like a stream of water , carrying the parts of the Comet along with them so as to make its blaze , since no such effect is found of them here with us upon the Earth : Nor how they should come to be bended like smoke , since we observe no such property of light in a uniform medium , such as in probability the Aether is . These were my thoughts about those Comets which appeared in 1664. and 1665. which I have found in several loose papers of Lectures , read in the beginning of 1665. And I have not had the opportunity of making many observations since , concerning Comets , save these two last , in which I had not the convenience of observing any thing certain concerning its motion or Parallax . And therefore I applyed my self to mark as near as I could the true figure of it , through a six foot Telescope , and to take notice of as many circumstances as the short time I had would permit , which though they were very short and transitory observations , and I wanted time to repeat them so often as I could have desired , yet even from them I was sufficiently satisfied , that I had reason to adhere to my former conjecture , that the light of the Comet did not depend wholly from the reflection of the Sun beams , from the parts thereof , but rather from its own light , for upon well considering of the form of this Comet , I manifestly saw that the middle of the blaze was brighter than the side parts thereof , and especially that part which was immediatly opposite to the Sun , was the brightest of all , which would have been otherwise if the light had depended wholly from the deflection of the rays of the Sun , for one might rationally conclude that the Nucleus or Star in the middle , which reflected so great a quantity of light should have caused a darkness in the parts behind it , as we see all strong reflecting bodies do , and consequently that the middle part of the stream or blaze , especially that which was next the body should not have been so bright as those other parts to which the light of the Sun had a more free access , unless it may be said that even the Star it self , though it seem so bright , is notwithstanding not so Dense , but that it admits rays enough to pass through it unreflected , to inlighten the parts behind it . But this seems not so likely , since be the body of the Star supposed a thousand times thinner than a Cloud ( which yet t is hard to suppose , since it gives so considerable a reflection , ) yet it being in all probability ten thousand times bigger in bulk , the rays in passing through so great a bulk , must needs meet with more obstruction than in the thinnest Cloud , and yet we find that there is no Cloud so thin , but casts shadow opposite to the Sun , and therefore in probability this would do the like , but I diligently observed that there was no such appearance here , but the contrary , that is , that where the shadow should have been , there was the lightest part of all the blaze , and consequently in probability it did depend upon some other cause than a reflection of light . It is a hard matter to assign the particular cause of its light , but it seems from these circumstances to be very probable that it was ( in part at least ) from its own nature , whether that might be somewhat of that of the Sun and Stars , or of that of our fire , or of that of decaying fish , rotten wood , glow-worms , &c. or of that of the Ignis Fatuus , at Land or Sea , or like that of Sea-water , or a Diamond , or like that of the falling meteors , or Star-shoots , it will be very hard to determine , unless one had a much greater stock of observations to build upon . But it may possibly be somewhat of the nature of them all , though it agree not in all particulars with any one of them . All these ways that I have named seeming to agree in one particular , and that is an internal motion of the parts which shine , whether that motion be caused by some external menstruum dissolving it as in fire , and Ignes fatui , or an external motion , stroke , or impulse as in a Diamond , Sea-water , and possibly some Ignes fatui , or from the parts of the bodies working and dissolving one another , as in decaying fish , rotten wood , glow-worms , or whether it be susceptible of a much more subtil impulse , even from light it self , as the Bononian stone , and Bladwines Phsophorus , which seems to be so harmonious ( as I may so speak ) to the motion of light , that a new motion is thereby raised in it , and continues for some time to move of it self after the impulse or influence ceases , not much unlike the unison string , or other sounding body , which in Musick receives a tremulation and sound from the motion and sound of the unison body , or string that is struck . To me It seems most probable that the body and parts of the Comet are in a state of dissolution , whether that dissolution be caused by the parts of the Aether through which it passes , after the manner as a Torch is dissolved by the air , or whether by the internal working of the constituent parts one upon the other , as in Gun-powder , shining Fish and rotten Wood , I cannot determine ; but I rather guess it to be in some things analogous to the one , and somewhat to the other , though not exactly the same with either . And this I conceive from the figure and make of the shining parts , for if it had been of the same nature with a Torch , the blaze would have resembled that of the flame of a Torch or Candle , that is , the sides would have been brighter , and the middle darker , as I have shewn in my Lampas ; whereas it was very manifest that the middle of the blaze was brightest , and of that blaze that which was next the Star or Nucleus was brighter than that which was further off : whereas in flame the contrary is very observable , as I have in the said Treatise shewn . From the shape of the figure , the manner of its dissolution seems to be thus . The Star or Nucleus in the middle , seems to be the fomes or source from whence all the light proceeds : this we suppose to be a dense body encompast with a very fluid body ( such as the Aether seems to be ) but of such a loose and spongy nature , as that the Aether doth cause those parts which are contiguous to it , to be dissolved and expanded into it self . This dissolution and expansion I conceive doth generate or cause the light that seems to proceed from it , that dissolution causing such a motion of the Aether , as is necessary to produce the appearance of light ; now so long as any part thereof remains in dissolution , so long doth it continue to shine , as is also observable in the flame of any body burning in the air , but when the part separated from the body is quite dissolved into the Aether , the effect of shining ceases , as it doth also in the parts of flame . Now I have observed that the blaze is so very much rarified , that first the Aether I conceive comes very freely to every particle of the body after it is separated from it , but especially to the outermost , and continues to be incompassed with it so long as till it be quite dissolved into it , which I conceive to be at a little farther distance from the head than the greatest length of the blaze seems to be to our sight . And further I conceive that the outward parts being thus incompassed more perfectly with the free and undisturbed Aether , are sooner dissolved into it than those of the middle , and consequently the sides seem first to disappear , and the middle parts continue their shining to a much greater distance from the Star in the head , though somewhat also of that appearance may be ascribed to the dispersing and rarity of the parts near the sides . The Nucleus or Ball in the middle of the head , which I have called the Star , I conceive to be dissolved equally on all sides , and the parts which are dissolved or separated from it , I conceive to fly every way from the center of it , with pretty near equal celerity or power , like so many blazing Granadoes or Fire-balls , these continue their motion so far toward the way they are shot , till the Levitation from the body of the Sun deflect them upwards , or in opposition to the Sun into a Parabolick curve , in which Parabolick curve , every single particle continues its motion till it be wholly burnt out , or dissolved into the Aether . These are continually succeeded by new separations from the aforesaid body in the same manner as t is observable in a burning , steaming , or smoaking body in our air , or a dissolving body incompassed with its proper menstruum , as I before mentioned , and will so continue until the whole be at length dissolved into the Aether , through which it passes . It hath been demonstrated by Torricellius , of bullets or other bodies cast or shot upwards , that the same or equal bullets discharged or shot out from the same point , with the same degree of strength , but with differing degrees of inclination to the Horizon , each of them shall be moved in a parabolical line , and every one of those parabolical lines shall touch a parabolical line , whose axis is the perpendicular , and whose apex is distant from the said point , the full altitude of the perpendicular shot : So that supposing in the twenty second figure , A to be the point from whence all the shots are made with equal velocity , AC the greatest height of the perpendicular shot , and AD the greatest Horizontal random at 45 degrees of inclination , and suppose EDCDE a parabola passing through those points DCD , all the shots made with equal bullets , with equal velocity from A , but with all variety of inclination between the perpendicular upwards , and the perpendicular downwards that touch the said parabolical line , and consequently if there be an indefinite number of such balls continually flowing out of the point A , with equal degrees of celerity every way dispersing themselves equally in orbem , the whole aggregate of such an emanation will make a solid parabolical conoeid EDCDE . Now about the point A , if we suppose a Sphere as BBBB , and from this Sphere an indefinite number of such equal Balls be thrown off perpendicularly to the superficies of it , from every point thereof , with equal celerity at their leaving it , those emanations will form also a conoeid , which will be very near the same with the former : And if this Ball in the middle be supposed a burning and shining body , and that all these emanations have every one of them equal light in proportion to the Globe BBBBA , the effect produced hereby will perfectly resemble the appearance and figure of Comets , if at least the Parabolical conoeid be inverted ; which will somewhat explain the manner how I conceive the figure of the Cometical body is naturally , and most proportionably formed ; for if the effect of such an emanation of shining bodies be examined , it will very plainly exhibit the exact and true apparent figure of Comets , as they may be seen through a good Telescope , which is to me a very great argument , that 't is the genuine cause of its shape and figure : Now though the Comets appearance be this way caused , and so a man might conceive the Globous body would in a little time ( by so copious an emanation ) be consumed , yet I do not believe that it doth in a short time wast and disperse the whole Ball , nor can I conceive that the disappearing of those blazing bodies toward the latter end , does depend upon their dissolution ( though possibly that may somewhat diminish them ) but that rather is to be ascribed to their distance and position in respect of us : Though this I remember I observed very manifestly in that of 1664. that the body toward the latter end of its appearing was very much less in proportion to the radiations about it , than it seemed to be at the beginning , but whether that might not be partly ascribed to the great distance it then was from us , and the turning of the head pretty near towards us , and thence the spreading of the Tail ( appearing beyond it , ) might add to the breadth of the radiation about the Nucleus , I will not positively determine . Now though for explication sake , I have compared the parts separated from the body of the Comet to blazing Granadoes or Fire-balls , yet I would not be understood to suppose these parts so separated to be of any very large bulk , for I see no necessity to suppose them bigger than the Atoms of smoke , or the particles of any other steaming body , or than the parts of the Air , which make the body of it appear thick and hazy ; nor do I believe that all the light of the Star , head , and blaze , does depend only upon the shining of the dissolving body and particles thereof : but I do suppose that it doth proceed both from the reflection of the Sun-beams from those parts , and also from an innate and momentaneous light produced by the action of dissolution wrought on the parts by the incompassing Aether . It may possibly seem very difficult to suppose that the dissolution of the parts of the Nucleus , by the incompassing Aether , should cause or impress so violent a motion into the separated parts , as to make them depart from it to the space of four or five Diameters , before it be over-powered by the power of Levitation from the body of the Sun , and so deflected into a parabolical line upwards . It may likewise seem strange to suppose that the Aether should have such power in it , as first to dissolve a body into it self , and secondly to cause a shining , and thirdly to cause a Levitation of the dissolved parts upwards ; whereas I supposed before ( and I think 't is very manifest ) that they cause a gravitation downwards , towards the Center of the Sun : But to these for explication , I answer that we need not go far for instances to make these things probable , the Atmosphere about the Earth , as I have formerly mentioned in my Micrographia , I take to be nothing else but the dissolution of the parts of the Earth into the incompassing Aether ; for the proof of which , I could bring many arguments , were it here a proper place , by which I could most evidently demonstrate the thing to be as I have asserted . It is here evident that this Aether doth take up the particles of bodies to a very great distance from the surface from which they were separated , and it doth not only raise them but susteins them at those heights , nor is this peculiar only to the Aether when a menstruum , but to all dissolving menstruums in general . As to give one instance , in stead of many , we find that Gold ( the heaviest of all Terrestrial bodies we yet know , ) being dissolved by Aqua Regis , is taken up into it , and kept suspended therein , though the parts of the Gold be fifteen times heavier than the parts of the Aqua Regis . So Pit-coal though very heavy , is yet taken up into the Air , and kept suspended therein , though it will be found to be some thousands of times more ponderous than the menstruum of the Air that keeps it suspended . Many reasons I could produce to shew the great power of the Aether , and the universality of its activity almost in all sensible motions , but reserving them for another Discourse hereafter , I shall at present , only mention those suppositions which seem to have the greatest difficulty , in this Theory , viz. how the dissolution of the parts of the Star by the incompassing Aether should cause light , and secondly how it should cause an actual Levitation of the dissolving particles upwards . For the explication of these two difficulties , I must at present crave favour to explain them by examples taken from operations of Nature in the Atmosphere wherein we live , very similar and analogous to them . First , for the production of light , we find that the Air incompassing the steams of bodies prepared by heat or otherwise , and made fit for dissolution , doth so operate upon them , as to make them fly and part asunder with a very impetuous motion , insomuch that the small particles or Atoms of the dissolved bodies , do not only leave one another , but depart and dart out with so great an impetuosity , as to drive off all the incompassing Air from their Center from whence they flew , and this I take to be the cause not only of their Light , but also of their Levity upwards , this may be seen very plainly by the small parts of crackling Char-coal , which upon the blowing them with Bellows , and so crowding a great quantity of the fresh menstruum on them , fly and dart asunder with great celerity and noise , but is abundantly more evident in the kindling of Gun-powder , where the impetuosity is so very great as to drive away not only all the incompassing Air but all other bodies , though never so solid , that hinder its expansion , in the performing of which operation the Aether hath a great share , as I may hereafter shew , 't is very probable that the Aether in the same manner dissolving the particles of the Star , causeth the Atoms thereof to fly asunder with so great an impetuosity as to leave a vacuity even of the parts of the Aether , which flying asunder doth not only cause light by impressing on the Aether a stroke or pulse which propagates every way in Orbem , but maketh such an agitation of the the Aether , as causes a rarefaction in the parts thereof , whilst the parts that are once actually separated , by continual rebounding one against another before they come to be at rest and quietly to touch each other , prolong that first separation or vacuity between them . This Explication , though it be somewhat difficult , yet I hope it is intelligible , and may be , with probability enough , supposed to be the true cause of the appearance , whilst there is nothing therein supposed which is not manifestly the method of Nature in other operations ; and though the supposition even of the Aether , may seem to be a Chimera and groundless ; yet had I now time , I could by many very sensible and undeniable experiments , prove the existence and reality thereof , and that it doth actually produce not only as sensible effects as these I have named , but very much the same , and many others much more cosiderable , which by Philosophers have hitherto been ascribed to quite different causes . Had I been able to have made some other observations ( which I designed , if I had had the opportunity of seeing it , some of the succeeding Nights , ) I should have hoped to have explained several other difficulties concerning the nature of the body and blaze of Comets , but being therein prevented , I must leave them till I can make some further observations on some Comets that may hereafter appear . In the mean time that what I have discoursed concerning the light of Comets , may not seem so altogether paradoxical and unintelligible as some may imagine , I have here added an account of some trials and observations made on shining substances of natures exceedingly differing from those that are commonly to be met withal . And this I the rather do , not only because it affords an instance of shining where there is no Air , but that hereby I may enlarge the limits of their imagination , who shall consider of this subject . For nothing is more apt to misguide our reasoning than a narrow and limited knowledg of causes , we are not to conclude the body of a Comet a sulphureous vapour exhaled from the Earth and kindled above , because here are such vapours observed and such effects produced , nor a collection of Sun beams made by a Lentiformed vapour , after the manner of a Burning-glass ( as some eminent Writers have lately done , ) because some such appearances may be Artificially produced in a smoaky or thickned Air ; since if we diligently inquire , we may find that light which is the most sensible quality of Comets that affects our senses , may be , and really is produced by very many , and those very differing ways . In Nitre and Sulphur kindling each other by heat , we have one way ; in a body burning in the Air a second , in a heated Iron or Glass a third , in a piece of Iron hammered till red hot a fourth , in rotten Wood and decayed Fish a fifth , in Glow-worms , Scolopondras , and other living Worms , and in the sweat and excrements of other living creatures a sixth , in a Diamond rubbed a seventh , in Dews Ignes fatui , &c. an eighth , in Sea-water a ninth , in the Bononian stone , and in the Phosphorus Baldwini ( which I take to be much of the same nature ) a tenth , in the Phosphorus of Mr. Kraft an eleventh , and possibly wholly differing from all these , may be the light of the Sun , a twelfth , and that of the Star may differ from that of Sun , and the Comet may be differing from all the rest . Whether they be so or not , the being acquainted with the several proprieties of them will the better enable one to judg of what is pertinent to be observed in Comets , in order to find out which is concerned . The Phaenomena of most of these shining bodies are very common and obvious , and therefore needless to be added ; but that of the Bononian stone prepared , and that of the Phosphorus Baldwini ( lately discovered by Mr. Baldwine ) are rare and hard to be got , and the effects of them are wholly differing from all the ways I have yet met with , and will therefore prove Experimenta Crucis , highly instructive in the Theory of Light , of which more hereafter . As for the Phosphoros Fulgurans of Mr. Kraft ( more scarce and rare than the other ) 't is wholly differing from any of the rest , and very strange and surprising , at least it appeared so to me , who had the good fortune to be present at a good part of the experiments made by the Author in the presence and at the Chamber of the Honourable Robert Boyle , Esq that great Judg and Promoter of all curious inquiries into Nature and Art , who at my earnest intreaty , was not only pleased to commit to writing what he observed , but ( for the information of Curious and Inquisitive Naturalists , ) to give me liberty here to publish it . A short Memorial of some Observations made upon an Artificial Substance , that shines without any precedent Illustration . September , 1677. ON Saturday the fifteenth of this month I was after supper visited by Mr. Kraft , a famous German Chymist , who was pleased to come and shew me a strange rarity he hath newly brought into England , to the sight whereof he allowed me to invite several members of the Royal Society , he being desirous , because the matter he imploys is very costly and of difficult preparation , to be a good Husband of it , and by shewing it to several curious persons at once , to exempt himself from the need of showing it often . The Company being met , the Artist took out of a pretty large box he had brought with him , divers Glass Vessels and laid them in order on the Table . The largest of them was a Sphere of Glass , which I guessed to be four or five Inches in Diameter , being hollow and intire , save that in one place there was a little hole , at that time stopt with sealing wax , whereat to pour in the Liquor , which seemed to me to be about two Spoonfuls or somewhat more , and to look like muddy water made a little reddish with brick-dust or some other powder of that colour , he also took out of his Box three or four little pipes of Glass sealed , or otherwise stopt at both ends , being each of them somewhat bigger than a Swans quill , and about five or six Inches long , and having at one end a small fragment or two of that matter that was to shine in the dark . He likewise laid upon the Table three or four Vials of several sizes , but none of them judged capable to hold above very few Ounces of water : in each of which Vials there was some Liquor or other , that was neither transparent nor well coloured , which Liquors I confess upon his making no particular mention of what they were to do , I was not curious to compare together , either as to quantity or as to colour . Besides all these substances which were fluid , he had in a small Crystalline button Bottle , a little lump of matter , of which he seemed to make much more account than of all the Liquors , and which he took out for a few moments to let us look upon it , whereby I saw that it was a consistent body , that appeared of a whitish colour , and seemed not to exceed a couple of ordinary Pease , or the kernel of a Hasel Nut in bigness , some other things 't is possible Mr. Kraft took out of his Box , but neither I or ( for ought I know ) others of the Company took notice of them , partly because of his hast , and partly because the confused curiosity of many spectators in a narrow compass , kept me from being able to observe things as particularly and deliberately as I would gladly have done , and as the occasion deserved . Which Advertisement may I fear be but too applicable to a great part of the following Narrative . The forementioned Glasses being laid in order upon the Table , the windows were closed with woodenshuts , and the Candles were removed into another Room by that we were in ; being left in the dark we were entertained with the ensuing Phaenomena . I. Though I noted above that the hollow Sphere of Glass had in it but about two Spoonfuls ( or three at most ) of matter , yet the whole Sphere was illuminated by it , so that it seemed to be not unlike a Cannon bullet taken red hot out of the fire , except that the light of our Sphere lookt somewhat more pale and faint . But when I took the liberty to hold this Glass in my hand and shake it a little , the contained Liquor appeared to shine more vividly , and sometimes as it were to flash . II. I took one of the little pipes of Glass formerly mentioned , into my hand , and observed that though the shining matter had been lodged but at one end , yet the whole Glass was enlightened , so that it appeared a luminous Cylinder , whose light yet I did not judg to be always uniform , nor did it last like that which was included in the Vials . III. In the largest of the Vials next the Spherical already mentioned , the Liquor that lay in the bottom being shaken , I observed a kind of smoke to asscend and almost to fill the cavity of the Vial , and near the same time there manifestly appeared as it were a flash of lightning that was considerably diffused , and pleasingly surprized me . IV. After this I took up that small Crystaline Vial that I lately called ( by a name familiar in our Glass-shops ) a Button-Bottle , wherein was contained the dry substance which the Artist chiefly valued , as that which had continued luminous about these two years , and having held that Vial long in my hand , in the same position in reference to my eye , and lookt attentively at it , I had the opportunity to observe ( what I think none of the Company did ) that not only this stuff did in proportion to its bulk , shine more vividly than the fluid substances , but thaat which was the Phaenomenon I chiefly attended ) though I could perceive no smoke or fumes ascend from the luminous matter , yet I could plainly perceive by a new and brisker light that appeared from time to time in a certain place near the top of the Glass , that there must be some kind of flashy motion in the matter that lay at the bottom , which was the cause of these little coruscations , if I may so call them . V. The Artist having taken a very little of his consistent matter , and broken it into parts so minute , that I judged the fragments to be between twenty and thirty , he scattered them without any order about the Carpet , where it was very delightful to see how vividly they shined ; and that which made the spectacle more taking , especially to me , was this , that not only in the darkness that invironed them , they seemed like fixt Stars of the sixth or least magnitude , but twinkled also like them , discovering such a scintillation as that whereby we distinguish the fixt Stars from most of the Planets . And these twinkling sparks without doing any harm ( that we took notice of ) to the Turky Carpet they lay on , continued to shine for a good while , some of them remaining yet vivid enough till the Candles being brought in again made them disappear . VI. Mr. Kraft also calling for a sheet of Paper and taking some of his stuff upon the tip of his finger , writ in large Characters two or three words , whereof one being DOMINI , was made up of Capital Letters , which being large enough to reach from one side of the page to the other , and being ( at least as I guessed ) invigorated by the free contact of the external Air , shone so briskly and lookt so oddly , that the sight was extreamly pleasing , having in it a mixture of strangeness , beauty and frightfulness , wherein yet the last of those qualities was far from being predominant . And this Phaenomenon did in more senses than one afford us the most of light , since not only the Characters shone very vividly upon the white Paper , but approaching it to my Eyes and Nostrils , I could discern that there ascended from them a fume , and could smell that fume to be strong enough , and ( as it seemed to me ) to participate of the odour of Sulphur and of that of Onions . And before I past from the mention of these resplendent Characters , I must not forget that either by their light , or that of the Globe , or both by the one and the other a man might discern those of his fingers that were nearest the shining stuff , and that this being held to the face though without touching it , some of the conspicuousest parts , especially the Nose , were discoverable . VII . After we had seen with pleasure , and not without some wonder , the fore-going particulars , the Artist desired me to give him my hand , which when I had done , he rub'd partly upon the back of it , and partly on my cuff , some of his luminous matter , which as if it had been assisted by the warmth of my hand shone very vividly , and though I took not notice of any thing upon my skin , that was either unctuous or rough , yet I often times tried in vain by rubbing it with my other hand to take it off , or manifestly diminish its splendor , and when I divers times blow'd upon some of the smaller parts of it , though they seemed at the instant that my breath beat upon it , to be blown out , yet the tenacious parts were not really extinguisht , but presently after recovered their former splendor . And all this while this light that was so permanent , was yet so mild and innocent that in that part of my hand where it was largely enough spread , I felt no sensible heat produced by it . By that time these things were done 't was grown late , which made Mr. Kraft , who had a great way to go home , take leave of the Company after he had received our deserved thanks for the new and instructive Phaenomena , wherewith he had so delightfully entertained us . Because Mr. Kraft had twice attempted to fire heated Gun-powder with his Phosphorus , but without success ; probably because the powder was not very good ( as by some circumstances I conjected ) and because it was not sufficiently heated before the matter that should set it on fire was put upon it , he promised me he would come another time to repair that unsuccesfulness : And accordingly , On the two and twentieth of September in the Afternoon I recived a visit from Mr. Kraft , who told me he came to make good his promise of letting me see that his shining matter was able to kindle heated Gun-powder , and because no strangers were present , I had the fairer opportunity to view it , which I was able to do better by day light , than I had done by its own light , for when he had taken it with a new Pen out of the liquor with which he kept it covered to preserve it , I perceived it to be somewhat less than the nail of one of my fingers , and not much thicker than a shilling , and I observed that when it had lain a little while upon a piece of clean Paper and discharged it self from its superfluous moisture , it began to emit whitish fumes which seemed to be very ponderous , since for the most part they did not ascend but surrounding the matter whence they issued , by their stagnation made as it were a little Pond or small Atmosphere about it ; so that lest it should wast too fast , he was obliged as soon as he had cut off a little corner less than half a pins head , to put the stuff nimbly back into the Vial out of which he he had taken it ; where I observed it for a very short time to send up exhalations into the liquor that covered it , and quickly after , as it were , quencht it . This done the Artist divided the little corner he had cut off into two parts , one of which he spread as far as it would reach upon a piece of white Paper , which he presently after held at a distance over a chafing-dish of burning Coals , by whose heat being excited it presently flasht and burnt away , and I having perceived that there was another part of the Paper which though not heeded by him , had been lightly besmeared by the same matter , I held it over the Coals , but at a considerable distance from them , and yet this little matter nimbly took fire and burnt a hole in the Paper . And to satisfie my self that the heat did but excite the luminous matter , and that t was this its self that lighted the Paper , I held the rest of the same piece of Paper far nearer the fire and kept it there a pretty while without finding it at all scorched or discoloured . Lastly , the other part of the divided fragment of the hitherto mentioned matter , Mr. Kraft put upon the tip of a quil , and having at a distance from the fire , very well dryed and warmed some Gun-powder upon another piece of Paper , he laid that Paper upon the ground , and then holding his quill upon it , as if it had been a match , within half a minute ( by my guess ) that powder took fire and blew up . 'T will not perhaps be impertinent to add that on occasion of the operation I observed the Air to have on the shining substance when freely exposed to it . I took a rise to tell Mr. Kraft that I presumed it might be worth while to try whether his Phosphorus did shine by virtue of a kind of real or ( if I may so call it ) living flame , which like almost all other flames required the presence and concourse of the Air to maintain it , or whether it were of such a kind of nature as the Phosphorus of the learned Baldwinus , which I suspected to shine not like a flame or a truly kindled substance ; but like a red hot Iron , or an ignited piece of Glass , wherein the shining parts are not repaired by fewel , as in other burning bodies , but are put by the action of the fire into so vehement an agitation as whilst it lasts suffices to make the body appear luminous . This conjecture Mr. Kraft seemed much to approve of when I told him that the way I proposed to examine his noctiluca by , was to put a little of it into our Pneumatick Engine , and Pump out the Air , whose absence , if it were of the nature of other flames , would probably extinguish , or very much impair its light , but yet since he offered not to have the trial made ; probably because he had but very little of his shining substance left , I thought it not civil to press him . But to countenance what I said of the nature of Baldwinus Phosphorus , I shall recite an Experiment that I purposely made , to examin whether the presence of the Air were necessary to the shining of this Phosphorus , as I had long since found it to that of some pieces of shining wood . We exposed for a competent time to the beams of a vigorous light , a portion of matter of about the breadth of the palm of ones hand , which we had prepared to be made luminous by them . And then causing the Candles to be removed ( for we chose to make tryal by night ) we nimbly conveyed the matter into a receiver that was kept in readiness for it , presuming ( as the event shewed we might ) that by using diligence the light would last as long as the experiment would need to do ; making hast therefore to Pump out the Air , we heedfully watched whether the withdrawing of it would , contrary to my conjecture , notably diminish the light of the shining matter . And after we had thus withdrawn the Air gradually , we tryed whether by letting it return hastily , it would produce a more sensible change in the matter ( which had been purposely put in without any thing to cover it , that it might be the more exposed to the Airs Action . ) But neither upon the gradual recess of the Air , nor yet upon its rushing in when it was permitted to return , could we certainly observe any manifest alteration in the luminousness of the Phosphorus , other than that slow decrement that might well be imputed to the time during which the experiment was making . It being well known that this luminous substance requires no long time to make it decay , and by degrees to lose all its light ; so that though once there seemed to one or two of the by-standers , upon the return of the Air , to be some recovery of part of the lost splendor , yet after repeated experiments it was concluded that the presence of the Air was not at all necessary to the shining of our matter , and it was judged most probable that the absence or presence of the Air , had no manifest operation on it . I might add to this that perhaps the presence of the Air is rather hurtful than advantagious to this sort of lights , since for having had a large Phosphorus that was much esteemed , and , whilst I kept it , exactly protected from the Air did very well ; a part of the Glass that covered it , having by mischance been somewhat crackt , though none of the splinters appeared displaced , yet it seems some of the Corpuscles of the Air made a shift to insinuate themselves at these chinks ( as narrow as they were ) and in not many days made the matter cease to be capable of being made luminous as before . I cannot stay to inquire whether this unfitness or indisposition may be imputed to the bare moisture of the Air , or to some other substance or quality that alone or in conjunction with the moisture , may spoil that peculiar texture , or constitution that fits the matter of the Phosphorus assisted by the impressions of external light to become luminous . This , I say , I cannot stay to examine , though , That this Phosphorus is of a nice and tender constitution , and easily alterable , I was induced to think , by finding that the want of circumstances , seemingly slight enough , would keep it from being made ; and I guess that a convention of circumstances did more contribute to the production than any peculiar and incommunicable nature of the matter : Because having had the curiosity to make some trial upon so obvious a material as quick Lime , though the success did not answer my designs , yet , neither was it so bad , but that some luminous quality was produced in the Lime by the action of the fire , and a saline Liquor ; and I scarce question but other materials will be found capable of being made luminous by the same or the like operation , that is imploy'd by Baldwinus , when that learned man shall think fit to communicate his way to the Publick . But to return to what I was saying , that the contact of the Air might be rather hurtful than advantagious to the Phosphorus , I shall only add here as matter of fact , ( for my conjectures about Light belong to my yet unpublisht Notes , of the Origine of Qualities ) that whereas the contact of the Air , though it were not free , did in a few days destroy the luminousness of a good Phosphorus , yet having included another in a Receiver , whence we afterwards pumpt out the Air , this matter though inferior to the other in vividness was so little spoiled by lying open in our Vacuum , that at the end of not only some weeks , but some months , I found that the beams of a Candle passing to it through the Receiver , would notwithstanding the Vacuum it yet continues in , suffice to re-excite in it a manifest light . Thus far was the communication of this excellent person , who it 's hoped may be further prevailed with to communicate those other accurate observations , and curious researches he hath made concerning the light of the Bononian Stone , and the Phosphoros Baldwini , which are indeed truly admirable , and very much differing from the usual processes of Nature for the exhibiting of light . Before I take leave of my Astronomical Readers , I shall here acquaint them with some Collections I have made of other Astronomical matters and discoveries , which I hope will not be less pleasing to them than they were at first to me . The Discoveries are new , and not less significant . The first is , A Letter from Johannes Carolus Gallet , L.L.D. and Provost of the Church of St. Symphorean at Avignon , directed thus . CLarissimo Eruditissimoque viro D. Johanni Dominico Cassino , Matheseos Professori Celeberrimo , Astronomo praestantissimo & Academiae Regiae scientiarum alumno meritissimo . Conteining an account of his observation of Mercury passing under the Sun. Mr. Gallet then acquaints Mr. Cassini with his observation of ☿ sub ☉ and the whole method and process of his observation . First , he fitted two excellent Telescopes , the Glasses of which were given him by Mr. Jac. Borrellius , one of the Academy Royal of Paris . The one of twenty three foot , he fitted with a Glass covered with smooke , placed in the outward focus of the Eye-Glass : The other of three foot he fixt to the Arm of his Quadrant of the same Radius , this was so exquisite that compared with one of Divini , which was chosen by the care of Honorato Fabri , and procured by Monsieur de Beauchamps , it was found to represent the objects clearer : By this the figure of the Sun was cast on an opposite Table , on which he had drawn a Circle of the bigness proper to the Distance and Magnifying of the Glasses to contain the whole Face of the Sun , and by Parallel Circles had subdivided the same into digits and Sexagesimals , he had also placed three threds in the interior focus of the Glasses , that the middlemost went through the Center , and the two outward touched the Limb of the Sun by their shadow on the Table , he had also a Pendulum Clock that vibrated thrice in a second . Thus accoutred he watched the fifth and sixth day , from Sun rising to Sun setting , and the seventh after the Cloudy Sky had seemed to delude his curiosity till Eleven a Clock almost , it then began to open and discovered to him Mercury got within the Eastern Limb of the Sun , about 1 / 10 of its Semidiameter ; at length the Clouds being dispersed , the Sun being 27° 45. high , or at 10 h. 54′ ☿ it self marked out its own place in the disk of the ☉ by its own shadow cast on the Table by the shorter tube . Then he disposed the shadow of the aforesaid thred so Paralel to the Equator , that this figure of the Sun should move between the outward ones , and that the middle should mark out the Paralel described by the Center of the Sun in motion , at the same time he took the declination of ☿ from this middle Parallel and the right Ascention , by the number of Vibrations of the Pendulum , from the Western Limb of the Sun , taken by the shadow of a Perpendicular Cross-line to the other 3. by the same means , also he measured the Diameter of the Sun and of Mercury . Then to the end he might give less cause of doubt , according to his usual custom , he procured several friends who were present and witnesses of all the observations after the fourth mentioned in the Table . During the observation he took notice of these remarkable accidents . First , that Mercury through the long Tube was very black , and of an Elliptical figure whose longest Diameter was Parallel to the Equator , but in the Species through the lesser Telecope , it appeared round and of a dusky red ( like a spot observed by him in the Sun from the Ninth to the Fifteenth of April . ) Secondly , that the Diameter of mercury going out of the Disc of the Sun , when it toucht the periphery seemed to be of four times the Diameter it appeared of through the whole Phase , so that Mr. Beauchamp , who watched the exit with the longer Tube , whilst he himself minded the Quadrant in order to take the Altitude of the Sun , at the time of the exit cried out , O how large do I see the Diameter of Mercury now , it does not only leave the Sun , but is confused with it , or as it were melts into it , and presently it vanisht , the Sun being then 13. 23′ . high . He further adds that before he leaves to speak of the Sun , he will here insert an observation that he had made of four spots he had seen in the Sun in the first of October last ( St. No. ) with this his longer Telescope , one only of which was visible by the Species cast with the lesser Glass . Octob. Die. hora Decinat . maculae principalis à paral . Centri ☉ . Differentia temp . inter limbus ☉ Occident . & maculam . Tempus transitus disci Sonlaris . 1 10 0 4 44 austr . 1 4 20 2 10 0 2 10 0 2 43 aust . 49 0 2 10 20 3 10 30 1 21 aust . 34 40 2 10 20 4 10 35 0 40 aust . 24 40 2 10 30 6 10 0 3 0 boreal . 3 20 2 10 4 Thus submitting his method to the judgment of the Learned Cassini , and earnestly desiring his thoughts thereon , he ends his Letter , and Dates it from Avignon , Nov. 21. 1677. To this Letter he subjoins the observation it self , Intituled , Mercurius sub Sole visus Avenione die 7. Novemb . 1677. Observante me Joanne Carolo Gallet , J. V. D. Praeposito Ecclesiae Sancti Symphoriani Avenionensis . The Contents of which are , That designing to observe this passage of ☿ under ☉ he with his Tube watchfully looked for it in the Suns place , from the 5th to the 7th . day , with a Telescope of 23 foot ( as above ) he observed a spot of an elliptical figure which had already gotten a 16th . part of the semidiameter of the Sun within the limb , and declined a little to the South in respect of the parallel of the Aequator drawn through the Suns center , at 10 hours 26 min. but the Clouds hindering he could not observe its motion till it had ascended as high as the parallel : when the Suns altitude was 27. 45. or 10 a Clock 54 minutes . From the quickness of its motion he soon found it to be ☿ and not a spot , and therefore he forsook not his Quadrant to which was fitted his three foot Telescope and Table to receive the figure of the ☉ but observed the times of the Immersions and the Emersion of ☿ by the help thereof , being assisted by several of his friends who were witnesses of what passed , and particularly by the Illustrious Monsieur De Beauchamp , who with the twenty three foot Glass determined the Exit of Mercury , whilest he himself took the Altitude of the Sun with his Quadrant , as in the tenth Observation . The Order of the Observations of Mercury seen under the Sun. The number of the Phases observed . The north Declination of ☿ from the Parallel of the equat . through the Center . The difference of the time between the Transit of West Limb of the Sun , and the body of ☿ under the same Meridian collected from the Pendulum Vibrating 1 / ● of a second . The distant of ☿ from the Center of the Sun. The apparent altitude of the Sun. The hour Collected by the Altitude .   M. S. vib . Pend. M. S. T. M. S. T. G. M. H. M. S. 1 0 0 345 1 55 ● 1 20 37 2● 45 10 53 58 2 2 3 276 1 32 0 6 0 55 29 36 12 0 0 3 2 45 258 1 26 0 5 9 20 29 34 0 9 55 4 3 40 224 1 14 40 4 7 30 29 03 0 35 50 5 5 30 164 0 54 40 7 13 7 25 0 1 44 1● 6 6 30 148 0 49 20 8 15 0 24 5 1 55 22 7 6 53 132 0 44 00 9 16 45 22 30 2 11 58 8 8 14 100 0 33 20 12 1 45 19 30 2 39 14 9 8 55 80 0 26 40 14 5 30 17 17 2 57 28 10 9 28 29 0 13 00 16 20 0 13 23 3 26 56   The time of the Transitus . The Diameter in the Parallel . The Diameter in a great Circle . of the Sun. 414 2 18   34 30 0 43 0 0 of Mercury . 3 ½ 0 1 10 0 17 30       From this Observation he had the Declination of Mercury in respect of the Parallel through the Center of the Sun , and thence its absolute Declination from the Equator , supposing the place of the Sun according to Hecker , and the obliquity of the Ecliptick , 23 , 30′ the right Ascension also of ☿ appeared by the difference of time between the Transit of ☿ and the West limb of the Sun by the same meridian . Then from the Declination and right Ascension of ☿ given by Trigonometrical Calculation , he found out the Longitude and Latitude of it in every ▪ Observation , and the time of its true Conjunction .   The time of the phases observed . Heckers place of the ☉ in ♏ The Decl. of ☿ South ascen . The right Ascension of Mercury . The N. Lat. of ☿ ascen . The Long. of Mercury in ♏   H. M. S. G. M. S. G. M. S. G. M. S. M. S. G. M. S. 1 10 53 58 15 33 55 16 32 33 223 16 40 3 10 15 44 48 2 12 0 0 15 36 41 16 31 38 223 13 43 3 14 15 40 40 3 0 9 55 15 37 6 16 30 43 223 12 37 3 53 14 40 30 4 0 35 50 15 38 11 16 30 7 223 10 51 3 55 15 38 27 5 1 44 10 15 41 3 16 29 7 223 8 54 4 15 15 36 3 6 1 55 22 15 41 31 16 28 12 223 7 59 4 55 15 35 6 7 2 11 58 15 42 13 16 28 4 223 7 36 4 56 15 34 40 8 2 39 14 15 43 22 16 27 4 223 7 4 5 48 15 34 5 9 2 57 58 15 44 8 16 26 36 223 6 10 5 57 15 33 0 10 3 26 56 15 45 23 16 26 15 223 5 50 6 12 15 32 37 Therefore the time of the true conjunction of the Sun and Mercury at Avignon , was Nov. 7. Hor. 2. Min. 39. Sec. 14. Afternoon . To this he hath adjoyned this ensuing Table , to shew how much the Heavens do differ from the Astronomical Tables . Tempus datum ex Tabulis Novemb. Differentia ab observata conjunctione .   D. H. M. D. H. M.   Rudolphinis Reyneri . 7 8 3 9 7 24 excessus . Calculis Heckeri . 7 6 9 0 5 0 excessus . Lansbergianis . 6 1 12 0 23 27 defectus . Philolaicis Bullialdi 7 4 18 0 3 39 excessus . Riccilinis juxta calculum . R. admodum Patris Bonifa . Societatis Jesu . 7 8 17 0 7 38 excessus . These Observations are delineated in the 23. Figure . Vpon this Observation I find in the twenty third Journal de Scavans of the Year 1677. Mr. Cassini made these Reflections . THat having compared this Observation of Monsieur Gallet , of 1677. with that of Mr. Gassendus , of 1631. the same day of the year , to wit the seventh of November , he found that the Latitudes of ☿ at its leaving the Disc of the Sun , determined by these two Astronomers were equal , even to the sixth part of a minute . And by consequence that ☿ was both in the one and the other Observation at the same distance from its North node , and that it traced in the Disc of the Sun an equal line : And for that ☿ was here at the like distance from its Apoge ; as the Sun was also pretty near , the swiftness of its apparent motion in the Sun was equal . By the Observation of Mr. Gallet it is found considerably more slow than that which Mr. Gassendus hath supposed from the Rudolphin Tables of which he made use for the determining of it , not having been able to make Observation immediately by reason of the Clouds . He believes then that ☿ spent more then five hours in running through the Disc of the Sun , since by the Observation of Mr. Gallet , it hath spent 5 hours and 35 minutes , which may serve for an Advertisement for determining more exactly the time of the true conjunction of ☿ with the ☉ in the year 1631. The same equality of Latitude at Mercury's leaving the Sun shews that the Sun was equally distant from the Node of Mercury at the time of these two Observations . And as the Sun was more advanced in that of this year from 63 to 64 minutes , than in that of the year 1631 , So it follows that the septentrional Node of ☿ is advanced from 63 to 64 minutes in the space of 46 years , as precisely as by the Rudolphin Tables , which agree also exactly in the Epochas of the Nodes : a matter of no small Importance in Astronomy , which hath not a little difficulty to determine with preciseness the Nodes of the Planets and their motions . But having compared the observation of Mr. Gallet , with that of Mr. Hevelius , in 1661. which hapned the third of May , in a place of the Zodiac opposite to that of this year , he hath found the septentrional Node of ☿ less advanced than the Meridional was in the preceding Observation ; so that if the Nodes of ☿ in regard of the Sun are precisely opposite the one to the other , it appears that they have gone backward since the year 1661. as do those of the Moon , and by consequence their motion is sometimes direct , sometimes retrograde : But if their motion is supposed uniform , it will follow that the Line of the Nodes of ☿ doth not pass at all through the center of the Sun , but that it is removed from it towards the septentrional limit about a two hundredth part of the Semidiameter of the Orb of Mercury . Thus far this knowing and accurate Astronomer Monsieur Cassini , who we hear hath since farther discoursed concerning this matter , which we hope to procure so soon as he shall make it publick ; and to add some other curious Observations made by other hands , I have as yet been able to procure but one more ; but that is one so considerable , that it will excite the skilful Astronomers anew to ply their Calculations , to see what the comparing of this with the rest will produce ; which as they come to my hands , I design to publish , as I shall also somewhat of my own Observations thereupon : and therefore I omit to make any reflections at present . This Letter is of Mr. Edmund Hally , now residing at St. Helena , directed to Sir Jonas Moore , Surveyor of his Majesties Ordnance ; a person to whom the Learned world is very much obliged for his patronizing and promoting these Coelestial enquiries ; who hath not been sparing of his own pains and purse in providing the best apparatus of instruments and other conveniences for such Observations the world ever had ; from whom we may with good reason hope a great advancement towards the perfecting thereof . St. Helena , Novemb. 22. 1677. HOnored Sir , You may with reason wonder that I should so long be negligent to write to your Worship , to give you an account of my proceedings since my departure from you , seeing that in the business I am now engaged upon , the Honorable Sir Joseph Williamson , his Majesties Principal Secretary of State , and your self are my only Patrons : but I have not been unmindful of my Duty in this particular , only I delayed , that what I sent you might not be altogether inconsiderable . I hoped still that we might have some clear weather when the Sun came near our Zenith , that so I might give you an account that I had near hand finished the Catalogue of the Southern Stars , which is my principal concern ; but such hath been my ill fortune , that the Horizon of this Island is almost always covered with a Cloud , which sometimes for some weeks together hath hid the Stars from us , and when it is clear , is of so small continuance , that we cannot take any number of Observations at once ; so that now , when I expected to be returning , I have not finished above half my intended work ; and almost despair to accomplish what you ought to expect from me . I will yet try two or three months more , and if it continue in the same constitution , I shall then , I hope be excusable if in that time I cannot make an end . However it will be a great grief to be so far frustrated in my first undertaking : I have notwithstanding had the opportunity of observing the ingress and egress of ☿ on the ☉ , which compared with the like Observations made in England , will give a demonstration of the Suns Parallax , which hitherto was never proved , but by probable arguments . Likewise I have seen those two Eclipses , one of the Sun , the other of the Moon in May last , both which I send you , but the mighty winds , and extraordinary swift motion of the Clouds hindred the exactness of the Observations . That of the Moon may help for the difference of our Meridians , which is about 7 degrees to the Westwards of London : but it may more curiously be found by Mercury sub Sole . There are three Stars of the first Magnitude that never appear in England , but none near the South Pole of any brightness , except one of the third Magnitude , which is about ten degrees distant from it . The two Nubeculae called by the Saylors the Magellanick Clouds , are both of them exactly like the whiteness of the milky way lying within the Antartick Circle ; they are small , and in the Moon shine , scarce perceptible ; yet in the dark the bigger is very notable . I need not relate unto you the temperature of the Weather for heat and cold here in the Torrid Zone , you your self having long since had experience of a Latitude little different : only this I shall certifie you , that ever since I came to this Island , we have had no weather that is hotter than the Summer of England is ordinarily . Mr. Clark is a person wonderfully assistant to me , in whose company all the good fortune I have had this Voyage consisteth , to me all other things having been cross : nevertheless I despair not of his Honors and your Worships favour , which alone is sufficient to encourage me to bear with patience these disappointments , and expect some fitter opportunity . I am your Worships most obliged Servant , and true Honorer , Edmund Halley . St. Helenae , Latitudo Australis , 15. 55. Anno 1677. Octobris 28. die ☉ mane ☿ apparuit intra ☉ . h. m. s.   9 26 17 Pars aliqua corporis ☿ ii intrasset Solem decem gradus à nadir ad dextram circiter . 9 27 30 Formabat angulum contactus totus ☿ scilicet . intus 2 38 39 Limbus ☿ ii proximus dissiti à limbo Solis sui Diametro . 2 40 8 Limbus ☿ ii tetigit limbum ☉ . 2 41 0 Centrum ☿ exiit è Sole 30 grad . circiter à Nadir ad dextram . 2 41 54 ☉ limbus integer factus . Longitudo & Latitudo trium Stellarum illustrium prope polum austrinum .   Long. Latit . Canopus 11 3 ♋ 75 49 Centauri pes 25 24 ♏ 42 22 Alcarnar . 10 31 ♓ 59 18 1 / 3. The Period of the Revolution of Jupiter upon it Axis ; verified by new Observations made by Monsieur Cassini : Extracted out of the Journal de Scavans . THE Globe of Jupiter , whose Revolution about its Axis was determined by the Observations of Monsieur Cassini , in the Year 1665. to be 9 hours , and 56 minutes , is as it were a watch for visibly pointing the hours and minutes to half the Earth at once ; so that it shews the same time to all under the same Meridian , and a different time to different Meridians , according as they differ in Longitude . It hath for an Index of its motion one principal spot , which is very neatly distinguished from the rest of its surface , and seems from its figure and situation to have some resemblance to the Caspian Sea of the Terraqueous Globe . By the help of good Glasses it may be seen passing the under Hemisphere of it , from the East to the West , with a velocity so sensible , that one may determine to one or two minutes , the time that it comes to the middle of the Disc , which is the place the most fit for establishing of the Epochas , and for finding the difference of Longitude . There may be a great number of such Revolutions observed , since in one year of 365 days there are made 882 Revolutions . But it doth not appear in every year , but as if it were some kind of Marish which is dried at certain times , and so disappears during two or 3000 Revolutions ; and after it hath remained thus imperceptible for some years , it returns again to its former state . After it had been observed the last six months of the year 1665. and some months of 1666. it became invisible till the beginning of the year 1672. then being returned to its former appearance , Monsieur Cassini compared the intervals of the six years , and limited the revolution to be made in 9 hours , 55 minutes , 51 seconds ; and continuing his Observations to the end of the year 1674. he found by these two years that it was too slow by two seconds and a half : so that it appeared to be in 9 hours , 55 minutes , 53 ½ seconds . This spot hath been invisible in 1675. and 1676. during which space there happened other very considerable changes in the body of Jupiter ; for the clear interstice which was between the two dark belts of Jupiter was separated into many little parts , in the manner like so many Islands ; as if the two obscure belts had been two great Rivers broken one into the other , and had left these parts which appeared like Islands , which yet were at last all effaced , and the two dark belts , and the interjacent space at length all coalesced into one large belt . But after the coming of Jupiter out of the Rays of the Sun in the year 1677. the belts again took their form , and situation which they had heretofore ; to wit , the same which is described in the 24 figure . The principal spot appeared anew after the beginning of July last . Monsieur Cassini found this spot in the middle of Jupiter the night after the eighth of the said month , at 13 minutes after one at night ; and hath hitherto ever since observed it at the hours proper to its revolution . Having compared many Observations of this year with as many others made the same days of the year 1665. for avoiding the scruples which may arise from the inequality of times , he hath found by the intervals of twelve years that those revolutions compared the one with the other , complete themselves in 9 hours , 55 minutes , 52 seconds , and 5 or 6 thirds . And because that in the years 1672 , 1673. they appeared more slow by 2 seconds and a half , during the time that Jupiter was in its greatest elevation from the Sun. Monsieur Cassini inclines to suppose that these revolutions have some little inequality depending on the variation of the distance of ♃ from the ☉ , and that they are a little slower when ♃ is more removed , and somewhat faster when nearer approached that body ; the same which several great Astronomers have supposed to happen to the Diurnal Revolutions of the Earth in the Copernican Hypothesis . In this account he hath separated the inequality which doth result from the variation of the two equations of Jupiter ( as he hath explained in divers Letters in 1665. ) the which may amount to one half hour , besides the inequality of natural days , which according to his Hypothesis may amount to 16 minutes . For the finding then of the return of the principal spot to the middle of ♃ for many years to half an hour or thereabout , there needs nothing but adding still the time of the period to the Epoche of the 8. of July , 1677. and for the finding precisely , even to some minutes , the two inequalities of Jupiter must be observed according to the following Rule . Differentiam inter medium locum Jovis & appar●ntem converte in tempus dando singulis gradibus min. 1. hoc tempus adde tempori restitutionis maculae supputato , si locus apparens Jovis excesserit medium : subtrahe vero si defecerit à medio . We have then the mean time of the return of the spot , and to get the apparent time the , equation of days according to the method of Monsieur Cassini ( of which a Table is inserted in the Ephemerides of Monsieur Flaminio de Mezzavachi ) must be made use of . MICROSCOPIVM : OR , Some new Discoveries made with and concerning Microscopes . A Letter of the Ingenious and Inquisitive Mr. Leeuwenhoeck of Delft , sent to the Secretary fo the Royal Society , October 5. 1677. IN this Letter after the Relation of many curious Observations made with his Microscope , he adds , By some of my former Letters I have related what an innumerable company of little Animalcules , I have discovered in waters ; of the truth of which affirmations , that I might satisfie the Illustrious Philosophers of your Society , I have here sent the Testimonials of eight credible persons ; some of which affirm they have seen 10000 , others 30000 , others 45000 little living Creatures , in a quantity of water as big as a grain of Millet ( 92 of which go to the making up the bigness of a green Pea , or the quanitty of a natural drop of water ) in the desiring of which Testimonials I made it my request that they would only justifie ( that they might be within compass ) half the number that they believed each of them saw in the water , and even so the number of those little creatures that would thereby be proved to be in one drop of water would be so great , that it would exceed belief . Now whereas by my Letter of the 9th . of October , 1676. I affirmed that there were more than 1000000 living Creatures contained in one drop of Pepper-water . I should not have varied from the truth of it , if I had asserted that there were 8000000 ; for if according to some of the included testimonials there might be found in a quantity of water as big as a millet seed , no less than 45000 animalcules . It would follow that in an ordinary drop of this water there would be no less than 4140000 living creatures , which number if doubled will make 8280000 living Creatures seen in the quantity of one drop of water , which quantity I can with truth affirm I have discerned . This exceeds belief . But I do affirm , that if a larger grain of sand were broken into 8000000 of equal parts , one of these would not exceed the bigness of one of those little creatures ; which being understood , it will not seem so incredible to believe that there may be so great a number in the quantity of one drop of water . Upon the perusal of this Letter , being extremely desirous to examine this matter farther , and to be ascertained by ocular inspection as well as from testimonials . I put in order such remainders as I had of my former Microscopes ( having by reason of a weakness in my sight omitted the use of them for many years ) and steeped some black pepper in River water , but examining that water about two or three days after , I could not by any means discover any of those little creatures mentioned in the aforesaid Letter : though I had made use of small glass canes drawn hollow for that purpose , and of a Microscope that I was certain would discover things much smaller than such as the aforesaid Mr. Leeuwenhoeck had affirmed these creatures to be ; but whether it were that the light was not convenient ( the reason of which I shall shew by and by ) having looked only against the clear sky , or that they were not yet generated , which I rather suppose , I could not discover any . I concluded therefore either that my Microscope was not so good as that he made use of , or that the time of the year ( which was in November ) was not so fit for such generations , or else that there might be somewhat ascribed to the difference of places ; as that Holland might be more proper for the production of such little creatures than England . I omitted therefore farther to look after them , for about five or six days , when finding it a warm day , I examined again the said water ; and then much to wonder I discovered vast multitudes of those exceeding small creatures , which Mr. Leeuwenhoeck had described ; and upon making use of other lights and glasses , as I shall by and by shew , I not only magnified those I had thus discovered to a very great bigness , but I discovered many other sorts very much smaller than those I first saw , and some of these so exceeding small , that millions of millions might be contained in one drop of water . I was very much surprized at this so wonderful a spectacle , having never seen any living creature comparable to these for smallness : nor could I indeed imagine that nature had afforded instances of so exceedingly minute animal productions . But nature is not to be limited by our narrow apprehensions ; future improvements of glasses may yet further enlighten our understanding , and ocular inspection may demonstrate that which as yet we may think too extravagant either to feign or suppose . Of this , A later Discovery of Mr. Leeuwenhoeck does seem to give good probabilities ; for by a Letter of his since sent ( the which is hereunto annexed ) it appears he hath discovered a certain sort of Eels in Pepper-water , which are not in breadth above one thousandth part of the breadth of a hair ; and not above a hundredth part of the length of a vinegar Eel . Mr. Leeuwenhoecks Second Letter . SIR , Yours of the thirtieth of November I received not till January , whereby understanding the kind reception of my former by the R.S. I here return my acknowledgment to that illustrious Company for their great civility : but I wonder that in your Letter I find no mention made of my Observations of the second of December , St. No. which makes me doubt whether the same came to your hands . Since you assure me that what I send of this nature will be acceptable to the renowned Society , I have adventured again to send you some of my farther Enquiries , to be communicated to that learned Philosophical Company . Since I wrote of the Blood of Eels , and of young Eels , I have not been idle to view Blood , but especially my own , which for some time I have indefatigably examined , after that I had put it into all conceivable motions . Among which Observations I well saw that the globuli of my own blood took the same figure which I formerly mentioned , that the Globules of the blood of Eels appeared of to the eye : upon seeing which I doubted again at the cause of the smart which the blood of the Eels causes in the eye . These my many times repeated Observations of my own blood I made to no other end , than if it were possible , to observe the parts out of which the Globules of the blood consisted : With observing this , I found the globulous blood much more pliable than I did imagine the same before . I have at several times bended these Globules before my eyes , that they were three times as long as broad , without breaking the Vesicule of them : and besides I saw that the Globules of blood in passing by and through one another , did by reason of their pliableness receive many sorts of figures , and coming thence into a larger place , they recovered their former globulosity which was a very great pleasure to observe : and withal , that the Globules of blood coming many together , and growing cold thereby , came to unite , and made a matter very smooth , wherein there were no more parts distinct to be taken notice of , much after the same manner as if we supposed a Dish filled with balls of wax set over a fire , by which they would quickly be melted together , and united into one mass ; by which uniting of the Globules , I concluded this to be the reason of the accident which is called the cold fire , and of that also which causes the hands or fingers to be lost by cold : but I leave this to others . And I did very clearly also discover that there were six other smaller Globules of blood contained within each of the former and larger Globulous Vesicles : and withal , I took much pains to observe the number of the same very small globules , out of which the greater Globules do consist : that at last I strongly imagined , that every of the greater Globules consisted of six smaller Globules , no less pliable than the aforesaid : for oftentimes I saw very clearly how the small Globules joyned and adapted themselves according to the figure the Vesicle or larger Globule stretched at length had taken , being themselves stretched after the same manner : and thus made one of the larger Globules stretcht out , to appear by the lesser within it stretched also with it , as if it consisted of long threads . Moreover , I put the greater Globules into so violent a motion , that their Vesicles burst in pieces , and then the lesser Globules appeared plainly to be scattered . This first Globule I can see as plainly and great , as with the naked eye one should look upon the eggs or spawn of a Cod-fish . About nine or ten years since Dr. Graff opened in my presence the vein of a Dog , and let out so much blood that the Dog grew faint ; then he opened the Artery of another Dog , and by a pipe transfused the blood of this second into the first , whereby the first was recovered , the second was faint . Then the said Doctor injected back into the Artery of the second , a quantity of Cows milk , supposing thereby to preserve the second dog alive , saying , milk was blood : but no sooner was the milk put into the artery , but the dog died . And whereas 't is commonly said that milk is Blood , therefore I shall relate of what parts the Milk consists , so far as I have hitherto discovered . I have said heretofore that the Milk doth consist of Globules swimming in a thin clear watery matter which we call Whey : but as the great Globuli of Blood are all of the same bigness , so in the Milk they are quite differing , being of as many sizes and magnitudes as we can imagine , between the smallest sand , and a barely corn ; all of them being as clear as Crystal ; save only that through and between the same drive some irregular particles for the most part rounded : these had a fatty substance , which I imagined to be the latter : their irregularity I imagined came from the impression of the encompassing Globules made on them , in which posture they grew cold . Viewing the aforesaid differences of the Milk Globules , I supposed that the Milk vessels have no other parts included but the matter out of which they are all made ; and that the same matter , so long as included in the vessels , consisted of one uniform matter , so that one could not distinguish parts ; and that the same vessels discharging this uniform matter into other vessels , containing a substance of a quite differing nature , which I suppose to be the Whey , comes to be separated into these Globules of so differing magnitudes . This may be represented by having two vessels filled , the one with Fat , representing Whey ; the other with Quicksilver , resembling the uniform matter of the Milk : these blended together , the Quicksilver will be separated into small Globules of differing magnitudes , and kept distinct by the fat . Or further , it may be explained by a dissolution of some gums in Spirit of Wine , a drop of which being put into rain water ( which I compare to Whey ) the Gum becomes separated immediately into an incredible number of small clear Globules , which makes it appear also as white as Milk it self : and thence I suppose that the whiteness of Milk hath the same cause . I have been often minded by some , that flesh was nothing else but clodded blood ; yet for all my endeavours I was never able to find the first particles of blood in the fibers of the flesh , but only such as are contained in the first Globules . The last Summer being sickly for some weeks , I voided much Flegm , which was green , tough , and acid in the throat , which yet continues ; but nothing near so much as before : and some of it which I voided in the morning was of so heavy a matter , that it sunk in the water : the ponderosity of it I found to proceed from its not being filled with airy bubbles , which most Flegms are mixed with . By this means I observed my Flegm very often , and found it to consist of tough slimy moisture , mixt with many Globules ; and the tougher the Flegm was , the greater was the quantity of Globules ; and from them also proceeded the green colour of it . All these Globules were of one and the same bigness with the first Globules of the blood ; and indeed the blood is of the same make , but only of a different colour : for as I observed the greater blood Globules to consist of six lesser , so here I could see them more plain ; only they seemed more slender and tender than in the blood : the reason whereof I suppose to be that the vesicules of the Flegm Globules had already received some kind of corruption : besides , there was mixt with the tough part of the Flegm great quantity of very thin cuticles : and in the same manner as I have heretofore explained how our cuticle is supplied underneath , as the upper part is rubbed off in scurf , so I suppose the inner cuticles of the gullet aspera arteria , and other vessels are taken off by the Flegm . There drove also , through the Flegm some other particles , which from their smallness I could not assign them a figure , but I conceived them rather cubical than round . I did last Summer shut up some Caterpillers to spin Webs , and within these few days I broke some of these Webs , when from each of them came out a flie , which from the cold were very weak , and were unable to stand ; by which I conceive that those which came not out in the latter part of the year , remain the whole Winter in their Webs , till the warmth makes them come out . I was pleased to understand that your self and the Society had seen in so small a quantiy of water as a sand , so great a number of Creatures ; as also , that I shall be partaker of what you shall observe , which I shall with longing desire expect . I cannot but mention that that small sort of Creature which I heretofore could give no description of , I now see their figure . And for the pleasure I take in the various pleasing shapes , with their motions , which do now and then appear in the water , I have the fourth of this month , when it froze hard , taken a third part of beaten pepper , and 2 / 3 of high rain water in a clean glass , which I set the first night in my Bed-chamber ; the next day , the weather being milder , I set it in my Counting-house , and in three times 24 hours discovered so great a number , and so unexpressible small Creatures , that 't is hard to be conceived ; and according to my judgment , the most of them were much less than a thousandth part of the thickness of the hair of ones head , and three or four times as long as thick ; the which made , with the hinder part of their body , oft-times so swift a progress , as when we observe a Pike shooting through the water , and every shoot was in length most times about half a hairs breadth ; the other sorts or kind of which were yet smaller , whose shape for brevity I omit ; only I shall say , that oft-times times in pepper-water which hath stood somewhat long , among the very small Creatures , I have seen a sort of small Eels which had their shapes and motions as perfect as great ones : these were to my appearance a thousand times thinner than the hair of ones head , and that if 100 of these small Eels were laid in length one behind another , the whole length would not extend to the length of the Eel in vinegar : Whether you have also observed these small Creatures with your Microscope , I shall be glad to understand . I would willingly also be informed whether my Letter of the second of December mention'd above be come to your hands , and how those Observations do please the Gentlemen of your Society ; and also to understand the receipt of this . The manner how the said Mr. Leeuwenhoeck doth make these discoveries , he doth as yet not think fit to impart , for reasons best known to himself ; and therefore I am not able to acquaint you with what it is : but as to the ways I have made use of , I here freely discover that all such persons as have a desire to make any enquiries into Nature this way , may be the better inabled so to do . First , for the manner of holding the liquor , so as to examine it by the Microscope , I find that the way prescribed by Mr. Leeuwenhoeck is to include the same in a very fine pipe of glass , and then to view it by the help of the Microscope ; for by placing that at a due distance , whatever is contained in the said liquor will most easily be discovered : The liquor will most easily insinuate it self into the cavity of the said pipe , if the end thereof only be just put within the liquor . This as it is exceedingly convenient for many trials , so is it not very difficult to prepare ; but because every one is not instructed how to proceed in this matter , and it may cause him more trouble than needs to procure them , I will here describe the way ; and so much the rather , because the same apparatus will serve for the preparing of Microscopes : as I shall afterwards shew . Provide then a box made of tin , with a flat bottom , and upright on all sides ; let this have fixed within it to the bottom a small piece of tin , hollowed like a ridg tile , so that the wiek of the Lamp may lie and rest upon it , and let the Tin-man fix on it a cover of tin , so that there may be only left one part of the aforesaid box open , to wit , where the bent tin piece and the wiek do lie and come above the sides : this cover may be turned back on its hinges when there is occasion to raise the wiek , or put in more oyl , &c. but for the most part ought to lie flat and covered ; for whilst it is using , it is necessary to keep the flame from spreading too much , and taking fire all over . This box must stand within another box of tin , made large enough to contain it ; the use of which is to keep the former Lamp Box from fowling the board or table on which it stands : This stands upon a board about one foot square , into which is fastned a standard or stick upright , cleft so as to pinch and hold the sodering pipe between its clefts , which may be fastned with a screw , or a slipping ring ; through which pipe , blowing with your breath , the flame will be darted forward with great swiftness and brightness : if then into this flame you hold a small piece of a glass pipe , made of white glass , ( for green glass , or coarser glass will not be melted easily in this flame ) and keep it turning round between your fingers and thumbs , you shall find that the flame will in a very short time melt the middle part of the said pipe ; so that if you remove it out of the flame , and draw your hands one from another , you may easily draw the former pipe into a very small size , which will yet remain hollow , though drawn never so small . The best Oyl for this purpose is good clean Sallat Oyl , or Oyl Olive ; but high rectified Spirit of Wine is yet better , and cleanlier , but much more chargeable ; and for most uses the Oyl Olive will serve . This I have set down , because many who are far off in the Country cannot have the convenience of going to a Lamp-blower as oft as they have occasion for such pipes ; which if they provide themselves with small white glass pipes from the Potters , they may accommodate themselves withal , though they have nothing but a large candle , and a tobacco-pipe , instead of the aforesaid apparatus , though not altogether so conveniently . But I would rather advise them to have a Lamp made , which most Tin-men know how to fit and prepare ; and so it will not need much more description . But this way of Mr. Leeuwenhoecks , of holding the liquors in small glass pipes , though it be exceedingly ingenious , and very convenient for many examinations , yet for divers others 't is not so well accommodated as this which I contrived my self for my own trials , at least for those Microscopes I make use of ; what it may be for those which Mr. Leeuwenhoeck uses I know not . I take then instead of a glass pipe a very thin plate of Muscovy glass , this serves instead of the moveable plate which is usually put upon the pedestal of Microscopes ; but because the common pedestal hitherto made use of in Microscopes is generally not so convenient for trials of this nature , I lay those by , and instead thereof I fix into the bottom of the Tube of the Microscope , a cylindrical rod of Brass or Iron . Upon this a little socket is made to slide to and fro ; and by means of a pretty stiff spring , will stand fast in any place . This hath fastned to it a joynted arm of three or four joynts , and at the end a plate about the bigness of a half crown , with a hole in the middle of it about three quarters of an inch wide ; upon this plate I lay the Muscovy glass , and upon that I spread a very little of the liquor to be examined ; then looking against the flame of a Candle , or a Lamp , or a small reflection of the Sun from a globular body ; all such parts of the liquor as have differing refraction will manifestly appear . By this means I examined the water in which I had steeped the pepper I formerly mentioned ; and as if I had been looking upon a Sea , I saw infinite of small living Creatures swimming and playing up and down in it , a thing indeed very wonderful to behold . If the flame of the candle were directly before the Microscope , then all those little Creatures appeared perfectly defin'd by a black line , and the bodies of them somewhat darker than the water ; but if the candle were removed a little out of the axis of vision , all those little Creatures appeared like so many small pearls , or little bubbles of air , and the liquor in which they swimmed appeared dark ; but when the water began to dry off , the bending of the superficies of the liquor over their backs , and over the tops of other small motes which were in the water made a confused appearance , which some not used to these kind of examinations , took to be quite differing things from what they were really ; and the appearances here are so very strange , that to one not well accustomed to the phaenomena of fluids of differing figures and refractions , the examinations of substances this way will be very apt to mis-inform , rather than instruct him ; especially of such substances as are not perfectly fluid , and will not readily and naturally smooth their own superficies , such as Tallow , concreted Oyls , Marrow , Brains , Fat , inspissated juyces , &c. for if those substances be so examined by spreading them upon this plate , and be looked upon against the candle , or other small defined light , all the inequalities left on the surface by the spreading do by the refractions of the rays of light render such odd appearances , that they will easily deceive the examinator , and make him to conceive that to be in the texture of the part which is really no where but in the make of the superficies of it . This therefore as another great inconvenience to be met with in Microscopical Observations , I prevent by these ensuing methods : First , all such bodies as Fat , Oyl , Brains , Rhobs , Pus , tough concreted Flegm , and the like , whose surfaces are irregular , and ought to be reduced to smoothness before they can be well examined , I order in this manner : First , I provide a very clear and thin piece of looking-glass plate very smooth and plain on both sides , and clean from foulness : upon the surface of this I lay some of those substances I last mentioned , then with such another piece of Looking-glass plate laid upon the said substance I press it so thin as not only to make the surfaces of it very smooth , but also to make the substance of it very thin ; because otherwise , if the substance be pretty thick , as suppose as thick as a piece of Venice paper , if it be a whitish substance , the multitudes of parts lying one upon another in such a thickness , do so confound the sight , that none of them all can be distinctly seen : but if by squeezing the said plates hard , and close together , it be reduced to a twentieth part perhaps of that thickness , the substance may be well looked through , and the constituent parts may be very plainly discovered . Thus also 't is very visible in the Globules of milk and blood , discovered by the ingenious Mr. Leeuwenhoeck , for when either of those substances are thick , the multitude of those little Globules confound and thicken the liquor so as one cannot perceive any thing until it be run very thin ; for then all the remaining Globules with their motions may very distinctly be apprehended . This therefore is an expedient by which thousands of substances may be examined ; and therefore the more fit to be communicated , that there may be the greater number of observers well accommodated for such trials . These plates therefore may be contrived so as to be pinched together by the help of screws , and a frame , that thereby they may be forced the closer and the evener together , as there shall be occasion ; and may be kept firm and steady in that posture , and then , that it may some ways or other be conveniently fastned to the former plate , so as to be moved this way or that way steadily , as there shall be occasion . But there are other substances which none of these ways I have yet mentioned will examine , and those are such parts of animal or vegetable bodies as have a peculiar form , figure , or shape , out of which if it be put , the principal thing looked after is destroyed : such are the Nerves , Muscles , Tendons , Ligaments , Membranes , Glandules , Parenchymas , &c. of the body of Animals , and the Pulps , Piths , Woods , Barks , Leaves , Flowers , &c. of Vegetables . Some of these which are not made by dissection or separation from other parts may be viewed alone ; but there are others which cannot be well examined unless they be made to swim in a liquor proper and convenient for them : as for instance , the parts of flesh , muscles and tendons : for if you view the fibres of a muscle encompassed only with the air , you cannot discover the small parts out of which it is made : but if the same be put into a liquor , as water , or very clear oyl , you may clearly see such a fabrick as is truly very admirable , and such as none hitherto hath discovered that ever I could meet with ; of which more hereafter , when I shew the true mechanical fabrick thereof , and what causes its motion . Thus if you view a thred of a Ligament , you shall plainly see it to be made up of an infinite company of exceeding small threads smooth and round , lying close together ; each of which threads is not above a four hundredth part of the bigness of a hair : for comparing those of Beef with a hair of my head , which was very fine and small , viz. about a 640. part of an inch , I found the Diameter thereof to be more than twenty times the Diameter of these threads ; so that no less than 163 millions , besides 840 thousands of these must be in a ligament one inch square . I shall not here enlarge upon the admirable contrivance of Nature in this particular , nor say any thing farther of the reason of the greater strength of the same substance drawn into smaller than into greater threads ; but only this in general , that the mechanical operations of these minute bodies are quite differing from those of bodies of greater bulk , and the want of considering this one thing hath been the cause of very great absurdities in the Hypotheses of some of our more eminent modern Philosophers : For he that imagines the actions of these lesser bodies the same with those of the larger and tractable bodies , will indeed make but Aristotles wooden hand at best . This put me in mind likewise of advertising the Experimenter that he provide himself with instruments , by which , to stretch and pull in pieces any substance whilst the same is yet in view of the Microscope , of which there may be many which any one will easily contrive , when he hath this hint given him of the usefulness thereof in the examination of the texture of several substances ; as of Tendons , Nerves , Muscles , &c. those I have made use of were made to open like a pair of Tobacco Tongues , by two angular plates of thin brass rivetted together , which by pinching the opposite end , would either open or shut at the other , as I had occasion . These having a part extended between the two tops , were fixt at a due distance from the object-glass that the body extended between them might be distinctly seen ; then with my finger squeezing together the opposite ends , the other ends opened , by which means how the parts stretched and shrunk might be plainly discovered . Now as this is of use for some kind of substances , so the two glass plates are for others , and particularly for squeezing of several substances between them , so as to break them in pieces , as those little Creatures in pepper-water , or the Globules in blood , milk , flegm , &c. whereby the parts within them may yet farther be enquired into , as Mr. Leeuwenhoeck I find hath done by his latest Observations . Whether he makes use of this way , or some other , I know not . Having thus given a description of the appurtenances , it remains that I come to the description of the Microscope it self , which is the principal instrument , and without which all the rest are insignificant . The Microscopes then I design here to describe , are only of two kinds , either single or double . The single Microscope I call that which consisteth only of one glass , though it have a double refracting superficies ; and the double one I call that which is compounded of two glasses , though it hath for the most part a quadruple refraction of the Rays . The single Microscope then consisteth of one small lens so fastened into a cell , that the eye may come conveniently to look through the middle part or Axis of it ; of these there are various sorts , as double Convexes , or plain Convexes , or perfectly spherical . I shall not need to describe the common lenses which are every where made use of for this purpose , being plano-convexes of Spheres about half an inch Diameter , save only this , that 't is best to turn the plain side towards the object , and the convex to the eye : nor shall I say much concerning those double Convex Glasses , there being no great difficulty in the making or using of them ; but that the smaller the sphere is in which they are made , the nearer do they bring the object to the eye ; and consequently the more is the object magnified , and the better and truer they are polisht in the Tool , the more clear and distinct doth the object appear , but to make any of a Sphere less than 1 / 10 of an inch in Diameter is exceeding difficult , by reason that the glass becomes too small to be tractable ; and 't is very difficult to find a cement that will hold it fast whilst it be completed ; and when 't is polisht , 't is exceeding difficult to handle and put into its cell : besides , I have found the use of them offensive to my eye , and to have much strained and weakened the sight , which was the reason why I omitted to make use of them , though in truth they do make the object appear much more clear and distinct , and magnifie as much as the double Microscopes : nay , to those whose eyes can well endure it , 't is possible with a single Microscope to make discoveries much better than with a double one , because the colours which do much disturb the clear vision in double Microscopes is clearly avoided and prevented in the single . The single Microscope therefore which I shall here describe , as it is exceeding easie to make , so is it much more tractable than the double Convex glasses made the common way by working them in a hollow Hemisphere with water and sand ; for those , supposing them made with all the accurateness imaginable , will be far short from being so well polisht as these ; and wanting the stem or handle which these have , they are infinitely troublesome to remove , or place , or to cleanse when there shall be occasion . Take then a small rod of the clearest and cleanest glass you can procure , free if possible from blebbs , sands , or veins ; then by melting it in the flame of a Lamp made with Spirit of Wine , or the cleanest and purest Sallet Oyl , draw it out into exceeding fine and small threads ; then take a small piece of these threads , and in the same flame of the aforesaid Lamp melt the end of it , till you perceive it to run into a little ball or globule of the bigness desired ; then suffer it to cool , and handling it by the aforesaid thread of glass , which is as it were a handle to it , fix it with a little wax upon the side of a thin plate of Brass , Silver , or the like , that the middle of it may lie directly over the middle of a small hole pricked through the said thin plate with a needle : then holding this plate close to the eye , look through the said little hole , and thereby you may also see very clearly through the aforesaid Globule , fixed with wax on the side that is from the eye : if then either by a little joynted arm , or by a little soft wax , and a needle , or a thin plate of Muscovy glass , you fix the object you would examine ; so that it may be at a due distance from the said little Globule , you will perceive the minute parts thereof very distinct . The focus of a sphere looked on by the naked eye , is about half the radius of the sphere , without the superficies of it ; but this is varied much by the age of the eye that looks through it , by the imagination also of the person , and by the differing specifique refraction of the glass made use of . By this means I have prodigiously magnified some small bodies , insomuch that I have been able to see and distinguish the particles of bodies , not only a million of times smaller than a visible point , but even to make those visible , whereof a million of millions of them would hardly make the bulk of the smallest visible sand ; so prodigiously do these exceeding the little Globules of glass inlarge the prospect of humane sight into the more private recesses of nature . If the things to be viewed be liquors , they may be included either in those little pipes of Mr Leeuwenhoeck I newly mentioned , or else they may be put upon exceeding thin plates of Muscovy glass or Selenites , and the other side of the plate may be made to touch the Globule , or at least be fixed at such distance , as may make the parts of the liquor distinct : If you make use of a Looking-glass plate to spread the liquor upon you would examine , you may turn the liquor towards the Globule , and you may therein easily see all the parts very distinctly , without at all hurting the prospect by the interposition of the Muscovy glass ; which though it be exceeding clear , especially if the plates be very thin , yet hath it some flaws , and some opacousnesses in it , which do somewhat cloud the prospect . If further , you would have a Microscope with one single refraction , and consequently capable of the greatest clearness and brightness that any one kind of Microscopes can possibly be imagined susceptible of , when you have fixt one of these little Globules as I have directed , and spread a little of the liquor upon a piece of Looking-glass plate , then apply the said plate with the liquor , next to the Globule , and gently move it close to the Globule , till the liquor touch ; which done , you will find the liquor presently to adhere to the Globule , and still to adhere to it though you move it back again a little ; by which means , this liquor being of a specifique refraction , not much differing from glass , the second refraction is quite taken off , and little or none left but that of the convex side of the Globule next the eye ; by which means as much of the inconvenience of refraction as is possible is removed , and that by the easiest and most practicable expedient that can be desired . I could add various other ways of making these Globular bodies both of glass and other substances which will yet farther advance our prospect into nature , and are pleasant to admiration ; but those I shall yet reserve till I see what effects the publishing of these may produce , and to the end to excite other persons to be inquisitive into this matter : for let me assure them , very much more may yet be done by a way I know , than by this I have here published . And I confess I have very often wondered that no farther improvement had been made of this Principle , since I publisht it in the year 1664. in the 20. page of my Preface to Micrographia : for though some other reasons discouraged me from prosecuting those enquiries , yet I hoped that others might long before this have carried it much farther . The only inconvenience in these kinds of Microscopes , is , that the object is necessarily brought so near the glass , that none but such as are transparent , and to be viewed by a through light are capable of examination by them : such therefore are to be examined by the double Microscope ; which , as it is abundantly more tractable , so doth it much less strain the eye ; and from the easiness of its use , when well fitted , is much more pleasant : and if ordered as it ought , will magnifie as much more than the common ones hitherto made , as those did more than the naked eye . Both these Microscopes I have directed Mr. Christopher Cock , in Long-Acre , how to prepare , that such as will not trouble themselves in the making of them , may know where to be accommodated with such as are good . And of the improvement of this kind of Microscope , I see no limits , especially as to the augmenting the visible appearance of such objects as are capable of enduring the increase of light ; for since 't is demonstrable that light may be augmented upon any one object susceptible to any given degree , and that by the double Microscope the image can be augmented to any assigned magnitude , what but the difficulty of making all things correspondent should limit the power of such an instrument . Now the making of this double Microscope , though it be somewhat more difficult than of the single one , yet the tractableness thereof when well fitted , and its easiness to be cleansed , and applied to use , makes amends for the extraordinary charge , especially the situation of the object ; which being capable of any reasonable distance from the object glass , so as to be fit for examination , makes it very desirable . Now as in all other mechanical contrivances , that is best which is plainest , and most simple : so is it in this , wherein nothing more is required , but two plano Convex glasses , the one for the object-glass , and the other for the eye-glass : the less the spheres of the glasses be , the more do they magnifie the object ; and the thinner and clearer the substance of them be , and the more exactly shaped , and the brighter they are polisht , the clearer do they represent it ; and the longer the glasses are distant from each other , the more is the image magnified , caeteris paribus , though indeed the same thing is performed by glasses of very differing magnitudes , due proportions of all things about it being kept and observed . For if as the distance of one object from the object-glass is to the distance of another object from another object-glass , so the distance of the first image be to the distance of the second image , the image in both must be equal : if therefore this image be viewed with equal glasses the image must be equally magnified at the bottom of the eye ; so that in this way the object is capable of a double way of augmenting , viz. first , the augmenting the figure in the Tube , by the smallness of the object-Glass , and length of the Tube : and secondly , by the augmenting that image in the bottom of the eye , and that is by the Eye-glass ; give therefore light enough to the object , and you may increase the image at the bottom of the eye to what proportion you shall desire . And by a way I shall shortly shew , the objects may be perceived distinct , defined , and colourless , as if seen by the naked eye . In all these ways the manner of applying the light is very significant , and provided it be very strong , the smaller the point be it proceedeth from , the more distinctly doth it exhibit the difference of refraction in the transparent bodies viewed by it , and the plainer will their parts be discovered : The light therefore of the Sun either reflected from a Spherical Convex body , or Spherical Concave body , the object being placed beyond the focus , or Refracted through a Concave or through a Convex , if the object be placed beyond the focus , do exceedingly well . But these with the help of a dark Room do yet better , the object being placed in a Table against the Light , and all other Light screen'd from the Eye by the Dark Room . Much the same thing is done by the Light of a Lamp or Candle in the Night , which is indeed the most convenient Light , where Colour is not so much looked after . Whilest this Discourse was Printing I casually met with a Treatise of P. Cherubine , Printed at Paris , 1677. Entituled , LAVISION PERFAITE , ou les concours des deux axes de la Vision en un sceul point de l' object ; Wherein the Author pretends amongst other things to have promoted Microscopes extreamly by so joyning two together , as through them to see the same object distinct with both the Eyes at once , and to see a large object all at one view , by which he affirms to have discovered some mistakes and untruths in some of those figures I have formerly published in my Micrography . But if he had pleased to have read the Description as well as looked on the Figure , he might have been better informed than by his Preface he would seem to be . I deny not but that there are many failures in some of those draughts , some of my own and some of the gravers committing . Humanum est . But those which he charges for such are not , as he might have seen if he had made use of better glasses than those which he describes , for they are so far short of equalling those I use , that I can demonstrate from his own Description of them , that those I made use of did magnifie 10000 times more than that with which he pretends to have made these great Discoveries . Nor is it any thing more than common to see as large an Area as he mentions , with a glass that magnifies no more than his doth . But I could have shewed him how he might see the whole Creature at once , and yet much more magnifie than that which I have described , nay though the Creature were twice as big , and that with one Eye only , which is much to be preferred before that with two . However I should be very glad to hear what Discoveries he doth make with his binocular Microscope more than was seen before . As also that he would please to demonstrate the truth of Parallelogram prescribed for certain uses , pag. of Dioptrique Oculaire , and in the Fourth Chapter of the Fourth Part of this Book . But to digress no farther from what I was describing . I must add that with both these kinds of Microscopes have I examined several substances ; as particularly the steepings of several grains and seeds in rain-water . And though I have not yet found any one tincture more prolific than this of Pepper ; yet 't is not the only tincture in which they do both breed and increase . I have seen several sorts in the steeping of Wheat , Barly , Oats , Coffee , Anniseeds , Pease , &c. some not above a third part of a hair in thickness ; others not above the twentieth part of the breadth of a hair , and some not more than a thirtieth part of that breadth ; so that no less than 900 of these least must go to make an area as big as that of an hair cut transversly , and 27000 to make a Cylinder as big as the hair of ones head , and of equal height with the Diameter of that hair , which one may just call a visible point , and no more ; few eyes seeing things distinctly much smaller : Now the Diameter of a hair of my head being by examination found but the 640 part of an inch , it follows that no less than 19200 or to use a round summ about 20000 of them may lie in the length of an inch , and consequently , that a circle an inch Diameter will be to the area of one of these cut transversly as 400000000 to 1. four hundred millions to 1 and a Cylinder one inch Diameter , and one inch high , will be to one of these mites , as 8000000000000 to one , eight millions of millions to one . If therefore we compare the magnitude of one of these animals to the magnitude of other creatures living in the water , we shall find that these will be found much smaller in comparison to the body of an ordinary Whale , than the body of the same Whale will be to the body of the whole Earth ; which may prove an argument for an anima mundi perhaps to some . But let every one make his own inferences , and believe his own eyes , for they will make the best impression on his reason and belief . Now if the Creature be so exceeding small , what must we think of the Muscles , Joynts , Bones , Shells , &c. certain it is , that the Mechanism by which Nature performs the muscular motion is exceedingly small and curious , and to the performance of every muscular motion in greater Animals at least , there are not fewer distinct parts concerned than many millions of millions , and these visible , as I shall hereafter shew through a Microscope ; and those that conceive in the body of a muscle , little more curiosity of mechanism than in a rope of the same bigness , have a very rude and false notion of it ; and no wonder if they have recourse to Spirits to make out the Phaenomena : but of this hereafter more . Further , I have examined the constitution of Blood , Milk , Flegm , &c. and found them much the same with what Mr. Leeuwenhock has declared . A little fat laid upon the glass plate whilst warm , melts , and becomes transparent , but observed in a convenient posture against the light of a candle , &c. till it congeals , and shrinks , make a pleasant fluid , and shews how considerably a fluid and solid body do vary , and may give us a good hint to conjecture at the reason of the swelling and greater lightness of Ice than of Water . The first beginnings also of the shooting or crystallising of Sugar into rectangular parallelipipeds , Alum , Salt , Vitriol , &c. are strangely surprizing and instructive , I could enumerate multitudes of these . But ( that I may not detain the Reader toolong in the perusal of these anatomical descriptions of the minute and invisible parts of animal substances ) to ease both his eyes and imagination I shall proceed to acquaint him with some Anatomical Observations more sensible , and which do seem more nearly to concern us . And those are contained in the ensuing Discourse , being A Relation communicated to me in a Letter by that ingenious and experienced Chirurgion Mr. James Young of Plimouth , in the beginning of January last , of the fatal Symptoms caused by a Bullet swallowed into the Lungs . SIR , In the beginning of April , 1674. one Mr. Anthony Williamson of Liscard in Cornwal , aged about 65 years , of a brisk , firm habit , became ( after a too liberal drinking of Cyder ) afflicted with the Colick , of which in four days he cured himself , by swallowing two Musket Bullets , and receiving some Carminative Clysters . On the 12. of the same month , his pain returning somewhat smarter than before , he attempted to swallow three Pistol Shot , and supposing it the easiest way , he lay on his back , and threw them all at once into his throat ; where they choaking , had almost strangled him ; constraining him to vomit , &c. When they were past down , he became seized immediately with a violent Cough , Wheasing , pain in the left side of his Breast , a great noise in respiration , more especially after a fit of Coughing for then his Breast would hiss , like the sucking of a Pump , when the Air descends through the boxes . These accidents so suddenly occurring , without any manifest cause , did much surprize him , and the more , because he was naturally of a sound breast ; the Colick was cured by Clysters , Potions of Manna , ol . amyg . d. &c. and two of the Shot were soon ejected , ex ano , and maugre the other accidents , he became indifferently well , and able to walk about house . Five or six weeks after this , those symptoms became more fierce , depaupering his spirits , prostrating his appetite , disquieting his sleep with dreams , a Dyspnoea , and rutling violent Cough ; a straitness and load in his Breast kept him in bed , extenuated his body ( which without help of Milk Clysters , was costive ) he frequently fainted with sweats , and a tickling sleepiness in both legs . Under the tyranny of this legion of symptoms , our Western Apollo , Dr. Bidgood of Exeter was consulted , who affirmed them all to be caused by the remaining Bullet , which passing through the Larynx , was fallen into one of the branches of the Trachea , where it would abide , in despight of any endeavours to eject it : yet to alleviate the violence of the accidents , he directed to the use of emollient Eclegma's , temperate Cordials , &c. by help of which , and some other propitious circumstances , he not only recovered his legs , becoming able to walk , and ride a small Journey , but also consummated Marriage with a young woman of 25 — who afterward brought him two Children , whereof one is now alive , and very lusty ; and was seven months gone with a third , when he died : the more wonderful if the woman were just to him ( of which there appeareth no reason to doubt ) because a very little motion would so increase his difficulty of breathing , as to make him faint . After Matrimony he had divers lucid Intervals , at times would be very brisk , and at others very languid , and faint , like a dying man : he continually expectorated , sometimes grumous coagulated Blood , otherwhiles very recent ; now purulent foetid matter , then laudable pus . His natural aversion to Medicine caused him to reject what was advised by Dr. Bidgood , Dr. Lower , Dr. Sprage , &c. saving a few of the more slight mixtures : And although Sack had been formerly very familiar to him , he was now forced to shun it , and all strong Drinks , because they would infallibly produce a Cardialgia , a pulsant throbbing of the Heart , and labouring in his Breast : the first of these perhaps proceeded from his Constitution , which inclined to Choler ; but the latter undoubtedly , from the effervescency , and warm motion , to which it enforced the Blood , which the obstruction and pressure the Bullet occasioned in the Pneumatick organs , could not peaceably admit of : wherefore he resolutely fixed to small Drink , and shunned , as much as possible , all evitable Exercise , saving that of his hands , which he frequently employed in making Net-work . In the Year 1676. he applied himself to our ingenious and learned Country-man , Dr Mayow of Bath , who agreed with Dr. Bidgood , that the remaining Bullet lodging in the Lungs , was the occasion of all those ill symptomes under which he laboured ; but seemed to dissent from his presage , by hoping he might expectorate it : to atchieve which , he directed to have the body suspended head downwards , and fumes of Storax , Benjamin , &c. to induce expulsive Coughing , together with concussions of the body , and all preceded with an opening course , to relax , and dilate the vessels of the Breast ; all which were used to no purpose , save to verifie Dr. Bidgoods Prognostick , that no efflation , how violent soever , would be able to extrude it , and inhaunce the Patients despair of being ever cured ; from which time he never attempted it : so that those symptomes before mentioned , continuing until the Winter , and then gaining considerably on him , especially the Haemoptysis , &c. he languished till the ninth of December last , and then died . The tenth Ditto ( assisted by his Son-in-law ) I opened the Thorax , in presence of two other Chirurgions of the place , together with divers persons of Quality , whose curiosity led them to see the examination ; because the Bullets being there , was so much doubted by many , and disputed as impossible by others . In the disfection the following particulars were observable , The Body was extenuate and tabid , The right lobes of the Lungs were replete , sound , and well coloured . The Serum in the Pericardium was almost all absumed , The Heart strangely shrivelled and very small . Under the Pericardium ( the Body being supine ) we found a lump of coagulated Blood , as big as a Pigeons Egg ; near which lay also a substance , shaped like an obtuse headed muscle , having a Tendon-like tail , which insinuated to the Pendant Lobe : Its body was above an half inch thick . It s other dimensions and shape exactly like that of the figure X , of which A sheweth the head or upper end , B the tail , which in drawing out of the rotten Lungs ( being also corrupted ) broke asunder . It s Texture seemed fibrous , like that of the Kidneys , being white one half way through , the rest of a dark red : it was very soft and plum , having a firm smooth tegument , and felt very much like a Sheeps kidney . The left Lobe of the Lungs was cadaverous , and hollow , by an abscess which had discharged near a pint of very foetid and purulent matter , into that side of the trunk where it lay immured up , by the adhesion of the Lungs on that side , to the Pleura , which with the Diaphragima , as far as the matter extended , was livid , and eroded . We examined this rotten part of the Lungs , with what exactness and curiosity we were capable of , amidst such a crowd as were present ; and the more troublesome stench of the Cadaver ; and found though the whole Parenchyma were rotten , and no firmer than coagulated Blood ( with which it had very near resemblance ) yet the branches of the Trachea continued into it were uncorrupt , and sound ; nor in any of them could we find what we very confidently presumed to be there , viz. the Bullet . Wherefore I resolved to seek it the way by which it must have entred ; and accordingly dividing the Trachea at its insertion to the Lungs , I thrust in a bended Probe to the left branch , and there felt him , lying loose about two inches within it , which with my fingers I easily expressed at the divided end of the pipe : to do which , I laid it bare so far as where the Bullet had lodged ; and I protest , to my wonder , I found it not any way injured , or altered , by hardness , erosion , &c. though the Bullet had divers impressions from the later . The sanguiferous vessels , though lacerated , and cut in the dissection , did yield little or no Blood , either fluid or coagulate . Thus far is true History , and matter of fact ; I must now beg your pardon , if I presume to give my sense , and apprehension of some of those Phaenomena here related . The extenuation of the body , the absumption of the serum in the Heart-bag , and the contraction of the Heart , were the effects of the Tabes ; and that occasioned by the Bullets injuring the Lungs , and pectoral vessels . The lump of coagulate blood found under the Heart-bag was extravasate from the rotted veins , and arteries of the Lungs . That strange substance lodged between the Pericardium , and the Bullet , was either a Polypus , and the excrescence of some part , or it was generated by nature , and substituted for a cushion to defend the Heart from injury , by so uneasie a neighbour . That Polypuses have been found in the Heart , is affirmed by Nicolas Tulpius , Marcellus Malpighius , G. Garnarus , &c. but their shape and texture differing vastly from that of ours , giveth reason to believe this to be none ; especially considering that they all excrescing from the Heart , or some carneous part , are inseparably united and radicated to their original , and are spungy ; whereas this was nothing less , having no root , nor so much as an adhesion any where , saving at the tail ; the small end of which , being rotted by the Lungs , into which it continued , did easily divide upon my endeavour to draw it out : the body of it also lay loose in the aforesaid interstice , and as easily slipped out , as a Wen , or a Struma , when the containing parts are opened . It s substance was not fungous , but of a soft firmness , like a Kidney ; and in what ever circumstances it may resemble a Polypus , as it doth the figure of that of the Nose , vide N. Tulpii ob . med . lib. 1. obs . 26. yet it also differs from all other excrescences , besides , in what hath been mentioned , in that it was not rooted in any fleshy , bony , or muculous part ; and such the Lungs are well known not to be : it must therefore be the stupendious effect of Natures industry , and laid as a cushion to defend the Heart , &c. It s composition being so delicately soft , and yet firm enough for such a purpose : Its magnitude , situation , &c. concurring also to confirm this opinion concerning it ; besides which , I do almost remember , and believe ( though I cannot be positive ) that the pulsant pain he had so violently in his Breast , toward the left side , decreased gradatim , from the time of the deglutition : if that be true , whatever the substance were , or its cause , its effects were very propitious , manifesting nature to be , not only a diligent supplier of her own defects , but as industrious to produce strange and unaccountable relief , in such emergencies as this before us : A resembling story we have from A Pareus , lib. 8. cap. 15. The abscess was without doubt from a Phlegmon of the Lungs ; and because for the most part it was below , or beyond the Bullet , it proceeded rather from its obstructing , and so stagnating the Blood , and recrements in that Lobe , than from extravasation . What occurred of the latter , was expectorated , or remained in such Coagulums as that found under the Heart . The cause of the Bullets falling , rather into the left than the right Ramus of the Trachea , is obvious from the more supine and direct figure thereof , corresponding with the trunk , as the figure doth manifest : which consideration , together with the Bullets being loose in the pipe , renders the unsuccessfulness of Dr. Mayow's attempt very wonderful : I am inclined to believe it was so , either for want of a more early trial , or a more skilful tryer , than him who was employed about it . The way was ingeniously contrived , and ( as the Doctor himself told me ) had been successfully experienced in the like occasion . Certainly , had not the distance of the Doctors abode , and very important avocations , denied his personal assistance : or had any other person skilled in Anatomy , &c. been substituted , the Bullet from his own favourable shape , and more propitious gravity , and particularly from the strong efflations they provoked , together with the assistant posture of the body , would have been extruded . Had they instead of hanging him perpendicular , made him incline a little to the right side , to have made the left Ramus more prone ; and at the same time made him distend the pipes by sucking in as much breath as they could contain , their other means might have been effectual ; which I am induced to presume from the prosperous effects of the like attempt , and yet wanting many of their advantages ; I mean the reversion of a Stone , when sticking , and not able , to pass through the Urinary Channels . Let any Physicians seriously perpend the difficulty of this , with the advantages for the former , and they will justifie my opinion . The erosion of the Pleura , and Diaphragme , was from the acidity of the matter , gnawing and corrupting them ; for though the Trachea wonderfully escaped such impressions , the Bullet discovered on its superficies , divers marks of erosion , which all acids produce with much facility , upon the saccharous or saline parts of Lead ; as is to be seen by immersing it in vinegar . And now Sir , to relieve your patience ( no less than my own ) perhaps already wearied with the prolixity of this Narrative , give me leave to conclude , with suggesting , that I am of a belief ( having perused most of the publick accounts of this kind ) that scarcely a rarer accident , and accompanied with such stupendious circumstances , hath occurred to the present age than this : that an extraneous body , so large , so heavy , so hard , should slip down that difficult , and unusual way of the Weason , and abide so long in the organs of respiration , in so aged a person , admitting after it such exercises , as he performed , Riding , Marriage , &c. that nature should so unaccountably provide such a pertinent sence against injuries accidentally accruing , and that even the smallest Ramifications of the Trachea , though immersed in such a Cadaver , should be preserved from injury thereby . I am sure in the voluminous Observations of Schenckius , Horstius , Riverius , Bartholine , Burnet , &c. nor among all the stories in Mr. Oldenburg's Transactions , or the Miscellanea Curiosa of the Leipswick Doctors , hath it a Parallel . This , and whatever is else contained in this History , as my 〈◊〉 〈◊〉 〈◊〉 〈◊〉 〈◊〉 , I submit to the better sense , and reason of the Learned , not presuming to be positive in any thing , save in affirming my self , &c. JAMES YOVNG . P. S. For the plainer understanding where the Bullet lodged in the Wind-pipe , I have drawn and sent you an exact figure of the Trachea , excarnified ; as it s to be be found in Gerrard Blassius , Syntagma Anatomicum J. Veslingi . See figure Y in the III. Table . C points to the Trachea divided under the Larynx . D the right Ramus of the Trachea . E the left . F the place where the Lungs adhered to the Pleura . g g g , &c. the extremities of those branches of the Aspera arteria , divaricated into the rotten Lobe . H the Bullet in the pipe where it was found . ERRATA . PAge 1. line 17. foot . p. 2. l. 6. ioyned , p. 8. l. 21. 〈◊〉 , p. 11. l. 5. is diffused , p. 11. l. 17. Fostor , p. 12. l. 33. within the sphere of its activity , p. 12. l. 34. dele as , p. 14. l. 8. ether , p. 19. l. 7. common sights , p. 22. l. 31. 〈◊〉 , p. 23. l. 19. been produced , p. 24. l. 27. add see fig. 4. p. 27. l. 5. of this orb , p. 27. l. 21. ♏ , p. 28. l. 27. sixth figure , p. 29. l. 18. & perige , p. 29. l. 25. B , B , E. ib. l. 26 , 27. H , H , I p. 31. l. 9. for ( . ) put ( , ) p. 32. l. 28. stream of bu●bles , p. 35. l. 29. add fig. 9. p. 38. l. 28. to get out of , l. 34. of finding the , p. 46. l. 31. Baldwines p. 49. l. 17. downwards shall touch , p. 54. l. 26. Scolopendra , p. 69 l. ult . Suns phase , p. 71. l. 25. for 43 put 34 , p. 83. l. 8. to my wonder , p. 93. l. 3. blot out first , p 96. l. 14. plano c●nnexes , p. 101. l. 22. for table put tube , p. 101. l. 30. Seul , p. 102. l. 17. magnified , l. 23. the paralellogram , l. 24. page 241 , p. 104. l. 6. for fluid put feild . Notes, typically marginal, from the original text Notes for div A44321-e1350 This Revolution of the body of ♃ upon its Axis I first discovered in May 1664. and published in the first Transaction , which was a considerable time before it was discovered by Monsieur Cassini ; but we are obliged to him for the perfecting the Theory , as we are also for many other rare Discoveries and excellent improvements in Astronomy .