‘ 3. C.3Cf. I I PHILOSOPHICAL TRANSACTIONS, GIVING SOME ACCOUNT OF THE Prefent Undertakings, Studies, and Labours, OF THE INGENIOUS, IN MANY Confiderable Parts of the WORLD. VOL. LIV. For the Year 1764. LONDON: Printed for L. Davis and C. Rev m ers, Printers to the Royal Society, againft Gray s-Inn Gate , in Holbourn . M.DCC.LXV. ADVERTISEMENT. H E Committee appointed by the Royal Society to direct the publication of the Philojophical cTranfaftions> take this opportunity to acquaint the public, that it fully appears, as well from the council- books and journals of the Society, as from repeated declarations, which have been made in feveral for- mer 'Tranfaftion.Sy that the printing of them was al- ways, from time to time, the fingle a£t of the re- fpe&ive Secretaries, till the Forty-feventh Volume. And this information was thought the more neceffary, not only as it has been the common opinion, that they were published by the authority, and under the di- rection, of the Society itfelf ; but alfo, becaufe feveral authors, both at home and abroad, have in their writ- ings called them the ‘TranfaSlions oj the Royal Society . Whereas in truth the Society, as a body, never did interefl themfelves any further in their publication, than by occafionally recommending the revival of them to fome of their fecretaries, when, from the par- ticular circumltances of their affairs, the PranfaBioni had happened for any length of time to be intermitted. And this feems principally to have been done with a view to fatisfy the public, that their ufual meetings were then continued for the improvement of know- ledge, and benefit of mankind, the great ends of their firfl inftitution by the Royal Charters, and which they have ever fince fteadily purfued. But the Society being of late years greatly inlarged, and their communications more numerous, it was thought advifeable, that a Committee of their Mem- bers fhould be appointed to reconfider the papers read before them, and feleCt out of them fuch, as they a 2 fhould ADVERTISEMENT. fhould judge mod proper for publication in the future Tranfaftions 3 which was accordingly done upon the 26th of March 1752. And the grounds of their choice are, and will continue to be, the importance or fingu- larity of the fubjedts, or the advantageous manner of treating them 3 without pretending to anfwer for the certainty of the fadls, or propriety of the reafonings, contained in the feveral papers fo published, which mult ft ill reft on the credit or judgment of their re- fpedtive authors. It is likewife neceffary on this occafion to remark, that it is an eftablifhed rule of the Society, to which they will always adhere, never to give their opinion, as a body, upon any fubjedt, either of nature or art, that comes before them. And therefore the thanks, which are frequently propofed from the chair, to be given to the authors of luch papers, as are read at their accuftomed meetings, or to the perfons, through whofe hands they receive them, are to be coniidered in no other light, than as a matter of civility, in re- turn for the refpedt fliewn to the Society by thofe communications. The like alfo is to be faid with regard to the feveral projedts, inventions, and curio- fities of various kinds, which are often exhibited to the Society 3 the authors whereof, or thofe who ex- hibit them, frequently take the liberty to report, and even to certify in the public news-papers, that they have met with the higheft applaufe and approbation. And therefore it is hoped, that no regard will here- after be paid to fuch reports, and public notices ; which in fome inftances have been too lightly cre- dited, to the difhonour of the Society. CON- CONTENTS T O VOL. LIV. I. AN Account of a Mummy infpetfed London 1763. In- a Letter to William Heberden, M.D. F. R. S.from John Hadley, M. D. F. R. S. page 1 . II. The Sequel of the Cafe of Mr. Butler, of Molcow, Printed in the Philosophical Tran factions, Vol. L. p. 19. Communicated by Mr. Henry Baker, F. R. S. P- III. The Defcription of a new and fafe Crane , which has four differ ent Powers j invented by Mr. James Fergufon, F. R. S. p. 24. IV. Of the Moon’s Li fiance and Parallax : A Let- ter to Andrew Reid, Eff from P. Murdoch, D. D. and F. R. S. 12 Nov. 1763. p. 29. V. An Attempt to Account for the Origin and the For- mation of the Extraneous Fofjil commonly called the Belemnite. By Mr. Jofhua. Platt. p. 38. Vi. An Account of a Singular Species of Wafp and Locuft : By Samuel Felton, Efq } F. R. S. in a Letter to Henry Baker, F. R. S. p. 53. VII. An Account of an American Armadilla : By William Watfon, M.D. F. R. S. p. 57. 2 VIII An CONTENTS. VIII. An Account of the Quantity of Rain fallen at Mount’s Bay in Cornwall, and of the Weather in that Place : In a Letter from the Rev. William Borlafe, M. A. and F. R.S. to the Right Rev. Charles Lord B if )op of Carlihe, F.R.S. p. 59. IX. An Account of a Hernia of the Urinary Bladder including a Stone : By Mr. Percivall Pott, Sur- geon to St. Bartholomew’s Hojpital ', and F. R. S. p. 61. X. Some Ohfcrvatiom on the Cicada of North Ame- rica, Collett ed by Air. P. Coll in Ton, F. R. S. p.65. XT. An Account of the Plague at Conflantinople : In a Letter from Mordach Mackenzie, M. D. to Sir James Porter, His Majefty s Envoy Plejiipotentiary at Bruffels, and F. R. S. p. 69. XU. An Account of a remarkable Fide at Briftol : In a Letter to the Rev. Thomas Birch, D. D. Secret. R. S.from the Rev. Jofiah Tucker, D. D. Dean of Gloucefter. p. 83. XIII. A Letter containing fomc Experiments in Elec- tricity, to Air. Benjamin Willon, F.R.S. from Mr. Torbern Bergman, of Upfal, in Sweden. p. 84. XIV. An Account of a Fifh from Batavia, called Ja- culator : In a Letter to Mr. Peter Collinfon, F.R.S. from John Albert Schlofler, M.D. F.R.S. p. 89. XV. An Account of the Polijh Cochineal : Inn Letter to Mr. Henry Baker, F. R. S.from Dr. Wolfe, of Warfaw P-91* XVI. Obfervations upon two anti ent Etrufcan Coins, never before illufi rated or explained ; In a Letter to the Rev. Thomas Birch, D.D. Secret. R. S.from I " the CONTENTS. the Rev. John Swinton, B. D. F. R. S. Member cf the Academy degli Apatifli at Florence, and of the Etrufcan Academy of Cortona in Tufcany. p. 99. XVII. Objervatiom of the Fclipfe of the Sun, the if of April 1764, made in Surry- ftreet, in the Strand, London : By James Short, M.A. F.R.S. p. *107. XVIII. Obfervations of the Fclipfe of the Sun, April 1, 1764 : In a Letter from Dr. John Bevis, to Jofeph Salvador, Efq F. R. S. p. 105. XIX. Obfervations on the Eclipfe of the Sun, April 1, 1764: In a Letter to the Rev. Thomas Birch, D. D. Secret. R. S. from James Fergufon, F.R. S. p. 108. XX. ' Obfervations on the Eclipfe of the Sun, April 1, 1764, at Brompton-Park : By Mr. Samuel Dunn. p. 1 14. XXI. An Account of the Degree of Cold objerved in Bedfordshire : By John Howard, Efq-, F. R. S. in a Letter to John Canton, M. A. F. R. S. p. 1 18. XXII. Some Remarks upon the frft Part of M. I Abbe Barthelemy’s Memoir on the Phoenician Letters , relative to a Phoenician Infcription in the If and of Malta. In a Letter to the Reverend Thomas Birch, D. D. Secret. R. S. from the Rev. John Swinton, F. R. S. Member of the Academy degli Apatifli at Florence, and of the Etrufcan Academy of Cortona in Tufcany. p. 119. XXIII. A Catalogue of the Fifty Plants from Chelfea Garden, prefented to the Royal Society by the wor- Jhipful Company of Apothecaries , for the Tear 1763, purfuant to the Direction of Sir Hans Sloane, Baronet , Med, Reg. et Soc. Reg. aliquando P rapes .* By CONTENTS. By John Wilmer, M. D. clariJJ. Societatis Phar - maceut. Lend. See. Hart. Chelfean. Preefettus et PraleBor Botanic. p. 137. XXIV. Obfervations on the Eclipfe of the Sun, April 1, 1764: In a Letter to the Right Honourable James Earl of Morton, Pref. R. S. from the Reverend Nathanael Blils, M. A. Savilian Profeffor of Ma- thematics at Oxford, and AJlronomer Royal, p. 14/1. XXV. Obfervations on the Eclipfe oj the Sun, April 1, 1764: In a Letter to the Right Honourable James Earl of Morton, PreJ. R. S. from the Reverend Thomas Horn (by, M. A. and Savilian Profcfjor of Atlronomy at Oxford. p. 145. XXVI. Obfervations on the Eclipfe of the Sun, April 1, 1764 : By Matthew Raper, Efq-, F. R. S. p. 150. XXVII. A Table of the Places of the Comet of 1764 difeovered at the Obfervatory of the Marine at Paris, the i,d of January, about 8 0 Clock in the Evening , in the Con fell ation of the Dragon, concluded from its Situation obferved with regard to the Stars : By Mon- Jiour Charles Meffier, AJlronomer at the Depot of the Plans of the Marine of France, at Paris, p. 151. XXVIII. A Supplement to Motif Pingre’s Memoir on the Parallax, of the Sun : In a Letter from him to the Royal Society , tranjlatcd by M. Maty, M. D. F. R. S. p. 152. XXIX. An Account of the P ran fit of Venus : In a Letter to Charles "Morton, M. D. Secret. R. S. from Chriftian Mayer, S. J. Trai fated from the Latin by James Parfons, M. D p. 163. XXX. Objcrvationes Ajlronomice Chiiftiani Mayer, S.J. P- 165. XXXI CONTENTS. XXXI. Objervations on the Eclipfe of the Sun at Chatham, April i, 1764, by Mr. Mungo Murray : Communicated to Jofeph Salvadore, EJq ; F. R. S. in a Letter from Dr. John Bevis. p. 17 1. XXXII. Objervations and Experi?ne?its on different ExtraBs of Hemlock : By Michael Morris, M. D. F. R. S. p. 172. XXXIII. Efay on the life of the Ganglions of the Nerves : By James Johnfton, M. D. Communi- cated by the Right Rev. Charles Lord Biflsop of Carlifle, andF.R.S. p. 177. XXXIV. An Account of fever al fiery Meteors feen in North America : In a Letter to John Pringle, M. D . and F. R. S. fi-om John Winthorp, Efq-, Hollilian Profefior of Mathematics and Philofophy at Cambridge, in New England. p. 185. XXXV. Some New Properties in Conic ScBions , difcovered by Edward Waring, M. A. Lucafian Profefior of the Mathematicks in the JJ?7iverfity of Cambridge, and F. R. S. to Charles Morton, M. D. Sec. R. S. p. 193. XXXVI. An Account of the Efi'eBs of Lightening at South Weald, in Effex : By W. Heberden, M. D. and F. R. S. p. 198. XL. Obfervations upon the Efi'eBs of Lightning , with an Account of the Apparatus propofed to prevent its Mifchiefs to Buildings , more particularly to Powder Magazines ; being Anfwers to certain Quejlions pro- pofed by M. Calandrini, of Geneva, to William Watfon, M. D. F. R. S. p. 201. XLI. An Account of the Efi'eBs of Lightning in St. Bride’s Church, Fleet-ftreet, on the i%th of June 1764: In a Letter to Mr. Benjamin Wilfon, b F.R.S. CONTENTS. F. R. S. from Edward Delaval, Efq ; F. R. S. p. 22 7. XLII. A Letter from Thomas Lawrence, M. D. to William Heberden, M. D. and F. R. S. concern- ing the Effects of Lightning , in Effex-ftreet, on the i%th of June 1764. p. 235. XLII I. An Account of what appeared on Opening the Body of an ajthmatic PerJ 'on : By W. Watfon, M. D. F. R. S. p. 239. XLIV. A Letter to the Marquifs of Rockingham, with form Obfer various on the Effects of Lightening. p. 246. XLV. Solis Defedtus cbfervatus in Collegio Romano a Patribns Societatis Jefu die prima Aprilis Anno mdcclxiv. Lempore pojl median noble m. p.254. XL VI. The Defcription of a New Hygrometer , in- vented by James Fergufon, F. R. S. p. 259. XLVII. Experiments and Obfervations on the Com - prejfibility of Water and J’ome other Fluids , by John Canton, M. A. F. R. S. p. 261. XLVII I. Concife Rules for computing the Ejfeffs of Re- fraction and Parallax in varying the Apparent Di- jlance of the Moon from the Sun or Star ; aljG an eafy Rule of Approximation for computing the Di- jlance of the Moon from a Star, the Longitudes and Latitudes of both being given , with Demonftrations of the fame : By the Rev. Nevil Mafkelyne, A. M. Fellow of Trinity College, in the Univerfty of Cambridge, and F. R. S. p. 263. XLIX. Extract of a Letter from Mr. John Winthrop, Prcfejfor of Mathematicks in Cambridge, New England, to James Short, A. M. F. R. S. p. 277. L. Obfervarion CONTENTS. L. Obfervation of the \ Tranfit of Venus, June 6> 1764, at St. John’s, Newfoundland : By John Winthrop, Pr fie for of Mathejnalicks and Philofo- phy at Cambridge, New England. p. 279. LI. An Account of the Effects of Lightning on three Ships in the Eaft Indies : By Mr. Robert Veicht. Communicated by William Lewis, M. D. and F.R.S. p.284. LII. A Demonjl ration of the Second Rule in the Effay towards the Solution of a Problem in the Do Brine of Chances , publifoed in the P hilofophical Lranfattions , Vol. LII I. Communicated by the Rev. Mr. Richard Price, in a Letter to Mr. John Canton, M. A. F. R. S. p. 296. LI II. An Account of a remarkable Meteor feen at Ox- ford, March 5, 1764. In a Letter to Thomas Birch, D. D. Secretary to the Royal Society, jrom the Rev. John Swinton, B. D. F. R. S. Member of the Academy degli Apatifti at Florence, d?id of the Etrufcan Academy of Cortona in Tufcany. p. 326. LIV. ExtraB of a Letter from Mr. John Horfley Fourth Mate on board the Glatton Eaft-India Ship , to the Rev. Mr. Nevil Mafkelyne, F. R. S. dated Batavia, Nov. 16, 1763, giving an Account of his Obfervations , at Sea , for finding out the Longitude by the Moon. p. 329. LV. An Account of a remarkable Meteor feen at Oxford, April 23, 1764. In a Letter to the Rev. Thomas Birch, D. I). Secretary to the Royal So- ciety, from the Rev. John Swinton, B. D. F. R. S„ Member of the Academi degli Apatifti at Florence, and of the Etrufcan Academy 0/" Cortona in Tufcany. P- 332- ■2 LVI. Some CONTENTS. LVI. Some Remarks upon the Equation op Lime, and the true Manner op computing it. By Nevil Mafke- Jyne, A. M. Fellow op Trinity College, Cambridge, and F. R. S . p. 336. LVII. Afronomical Obfervations made at the If and of St. Helena. By Nevil Mafkelyne, M. A. Fellow op' Trinity College, Cambridge, and F. R. S. p. 348. LVIII. An Account oj an extraordinary Difeafe among the Indians, in the IJlands of Nantucket and Martha’s Vineyard, in New England. In a Let- ter from Andrew Oliver, Ffq\ Secretary of his Ma- jejlys Province of Mafiachuiett’s Bay, to Ilrael Mauduitt, Efq-,F.R.S. p.386. L1X. Agronomical Objervations made at the If and of Barbadoes 5 at Willoughby Fort ; and at the Ob - fervatory on Conftitution Hill, both adjoining to Bridge Town. By Nevil Mafkelyne, A.M. Fel- low op 'Trinity College, Cambridge, and F. R. S. P. 389. LX. Remarks upon M. l’Abbe Barthelemy’s Memoir on the Phoenician Letters , containing his Ref e hi ions on certain Phoenician Monuments , and the Alpha- bets refulting from them. In a Letter to the Rev. Thomas Birch, D. D. Secretary to the Royal So- ciety, from the Rev. John Swinton, B. D. F. R. S. Member of the Academy degli Apatifti at Florence, and op the Etrufcan Academy of Cortona in Tufcany. P- 393- PHILO- C * ] PHILOSOPHICAL TRANSACTIONS. I. An Account of a Mummy , infpe&ed at London 1763. In a Letter to William Heberden, M. D. F. R. S. from John Hadley, M. D. F. R. S. Dear Sir ; Read Jan. 12, N the i6th of December 1763, I/64 ' Dr. Wollafton, Dr. Blanfhard, Dr. Hunter, Dr. Petit, the Rev. Mr. Egerton Leigh, and Mr. Hunter, met at my houfe; that we might together infpedt a Mummy, which I had received from the Mufeum of the Royal Society. Our intention was; to examine the manner, in which this piece of antiquity had been put together ; to compare it with the accounts given of thefe prepa- rations by ancient authors ; and to fee, whether there were any traces left of the fofter parts; and, if fo, by what means they had been preferved. A greater Vol. LIV. B number {*] number of authors have written on this fubjedl, than I was aware of; fo that, in all probability, we have not made any new diicoveries. I enclofe to you the re- fult of our enquiry ; and the few obvious reflexions which occurred. If they appear to contain any thing worthy notice, you will pleafe to communicate them to the Royal Society. 1 am. Dear Sir, Charter-Houfc, Jan. ioth, 1764, Your mod; obedient and Obliged humble Servant, John Hadley. The HE Mummy, which is the fubjeft of the fol- lowing pages, is the firft article in Dr. Grew’s Catalogue of the rarities of the Royal Society. He informs us, that it was a prefent from Henry Duke of Norfolk ; and was an entire one, taken out of the Royal Pyramids. He then proceeds to defcribe the manner, in which the feveral parts were wrapped up ; but this he has not done exa&ly : as mod of thefe very parts had evidently never been opened, till we examined them : and were then found in a very dif- ferent date from that in which they are reprefented bv him. This Mummy had been greatly injured, before it came into our hands ; the head had been taken off from the body; and the wrappers, with which they had been united, having been dedroyed, the cavity of the thorax was found open towards the neck: and part of the upper crud, with the clavicles, hav- ing been alfo broken away, the heads of the ofj'a humeri prefented themfelves covered with a thin coat of pitch. The feet alfo had been broken off from the legs ; and were fixed, by wires, to the end of the wooden cafe in which the Mummy lay. The outward painted covering, which reached from the upper part of the ched nearly to the bottom of the legs ; had been removed and fadened on again by a great number of ordinary nails, driven up to the head into the fubdance of the Mummy. This had mod pro- bably been done by thofe, who had orders fome years fince to repair it ; and by this, and by the manner in which they had fadened on the feet, they feem to have done their work in a mod clumfy manner. j B 2 This [4] This whole external covering of the forepart of the Mummy confuted of feveral folds of broad pieces of linnen cloth ; made to adhere together by fome vifcous matter, which had not yet lod its property: and the whole had received an additional degree of drength and iubftance from the coat of paint laid on. The figures, which were not entirely defaced, were fo much of the lame kind with thole which the writers on this fubjedt have defcribed, as to make any account of them here needlefs : and, indeed, they were all fo much injured, as to render a particular defcription of them very difficult, if not impoffible. There were not the led remains of hair or inte- guments, on any part of the head ; fome parts of the ikull were quite bare; particularly about the tempo- ral bones: which had the natural poliffi, and appeared in every refpedt like the bones of an ordinary fkull. To other parts of the fkull adhered feveral folds of pitched linnen; which together were near half an inch in thicknefs: on removing them, they were found to have been in actual contact with the bone; fo that the integuments mud have been taken away, before the wrappers were at hrd applied. The under jaw was lod : and the fuperior maxillary, fphenoi'dal and ethmoidal bones w7ere broken away ; the j or amen occipitale was dopped up with pitch, with which alio the inner part of the fkull was lined; this leemed to have been poured in at the Jorameny and made to apply to the feveral parts of the infide of the fkull, by turning the head in different directions; the wave of the melted pitch from fuch motion appear- ing very plain. The infide of the fkull was in many places covered very thinly; and, in fome few, which [5l the fluid pitch had miffed, it was quite bare. The pitch, which flopped up the foramen cccipitale , had on it the impreffion of one of the vertebrae of the neck ; and externally about the foramen adhered a confiderable quantity of pitch. The outward painted covering being removed, nothing but linnen fillets were to be feen : which en- clofed the whole Mummy. Thefe fillets were of different breadths; the greater part about an inch and a half, thofe about the feet much broader : they were torn longitudinally ; thofe few that had a felvage having it on one fide only ; the uppermofl fillets were of a degree of finenefs nearly equal to what is now fold in the fhops for 2 s. 4 d. per yard, under the name of long lawn ; and were woven fomething after the manner of Ruflia-fheet- ing : the fillets were of a brown colour, and in fome meafure rotten. Thefe outward fillets feemed to owe their colour to having been fleeped in fome gummy folution ; as the inner ones were in pitch. The fillets immediately under the painted covering lay in a tranfverfe direction ; under thefe, which were many double, they lay oblique, diagonally from the fhoulders to the ilia. Under thefe the fillets were broader, fome nearly three inches ; and lay longitu- dinally from the neck to the feet, and alfo from the fhoulders down the fides; on which there was a re- markable thicknefs of thefe longitudinal fillets : un- der thefe they were again tranfverfe, and under thefe again oblique. The fillets in general externally did not adhere to each other ; but, though pieces of a confiderable length could be taken off intire, yet (from the great age) fo fo tender was the texture of the cloth, that it was im- pofiible regularly to unroll them. Astheoutward fillets wereremoved, thofe that next prefented themfelves had been evidently deeped in pitch, and were in general coarfer, in folds, and more irregularly laid on; as they were moredidant from the furface. The inner filleting of all was fo impreg- nated with pitch, as to form with it one hard black brittle mafs ; and had been burned nearly to a coal. On breaking this, it appeared in many places as if filled with a white eftlorefcence : like that ob- lervable on the outfide of pyrites , which have been expofed to the air. This efflorefcence however had nothing faline to the tade ; and did not diffolve in wa- ter : but indantly difappeared, on bringing it near enough to the fire to be [lightly heated ; and was folu- ble in fpirit of wine. In the cavity of the abdomen we found feveral fmall pieces of bone, which had the appearance of dry oak, mixed with crumbled pitch ; under this was found more folid pitch, which adhered to the fpine. After cutting away the mafs of cloth and pitch which covered the thorax ; we found, the arms had been laid drait down by the fides of the ched, and the ulna and radius bent upwards, and laid with the hands acrofs upon the bread:, the right hand being upper mod. The bones of the fingers were lod ; but the me- tacarpal bones were found, broken off, and fallen into the thorax. The filleting, which went round the upper part of the body, included the arms alfo j but they had evi- dently C 7 ] dently been fir ft wrapped feparately, then laid up in the pofition in which we found them, and the hol- lows which they formed filled up with pieces of pitched cloth. In the cavity of the thorax there was alfo a confi- derable quantity of crumbled pitch and fplinters of dry bone ; and, as in the progrefs of this examination we continually found, that fome of the bones did, as we laid them bare, feparate into fuch fplinters ; it is very probable, that this appearance was owing to the Mummy’s having been handled in a rough man- ner, and much fhaken by the perfons who had dri- ven it full of nails, when they were employed to re- pair the outfide of it. On our firff opening a way into the thorax , we imagined the ribs were deftroyed ; but, upon a more accurate examination, they were found entire ; but fo bedded in the pitch, and fo black, and burned into the mafs, as to make it difficult to diftinguifh thefe very different fubftances from each other. The bones of the fpine and of the -pelvis were in the fame ffate with the ribs; only rather more burned. There was a confiderable thicknefs of hard folid pitch lining the cavity of the thorax ; this had been evidently liquified, and poured in ; and retained that gloffy appearance on its furface, which is obferva- ble on pitch that is fuffered to cool without being diffnrbed. On breaking through this hard cruft of pitch, to examine the vertebra and the ribs, the pitch, which was under this cruft and neareft to the bones, was crumbly and foft ; and, on being expofed to the air, grew perfectly moift, in a very fhort time. 4 The [ 8 ] The lower extremities were wrapped feparately in fillets to nearly their natural fize, and then bound together ; the interfaces being rammed full of pitched rags. On cutting through the fillets on the thighs, the bones were found inverted with a thin coat of pitch ; and the filleting was bound immediately on this. The tibia and fibula of each leg were found alfo wrapped in the fame manner ; and the bones in adlual contact with the pitch : excepting in one or two places, where the pitch was fo very thin, that the cloth appeared to adhere to the bone itfelf. The feet were filleted in the fame manner ; being firft bound feparately, and then wrapped together. The filleting had been by forne accident rubbed off the toes of the right foot ; and the nail of the great toe was found perfect : the laft joints of the bones of the jerter, toes had been broken away ; by which it ap- peared, that thefe bones had been penetrated and their cavities quite filled with pitch. The filleting about the heel had alfo been broken away, and the bones of the tarfus , and fome of the metatarfal bones had fallen out and were loft; leaving the remaining filleting like a kind of cafe. The fillets on the left foot were perfect ; except on the heel, and where they had been divided from thofe of the leg ; a fmall portion of the ten do A chillis ad- hered to the os calcis-y and fome of the ligaments to the afragalus. On cutting into the fillets on the foie of this foot, they were found to enclofe a bulbous root. The ap- pearance of this was very frefli ; and part of the thin fhiniug 9' Thzlos . Traits. Vol.BJV TAB.I. j>. ,y cj7is, f//efaitf m/ur/ em/o. reels Mr roefrwft/ls /fa jfa/nity jfatr at/fanr^-io i/7 ;. • 3. &fa 'fur a/ /tried of /fa/ dfafa ^y/w/Je'nfand offfaivrmu /InttwdfPffatir 5 efomes oft/ur dyttnumfo of lie '/ar,uu> 2- — — 1 [9 3 fhining fkin came off with a flake of the dry brittle filleting, with which it had been bound down ; it leemed to have been in contadt with the flefli : the bafe of the root lay towards the heel. [Vide Tab. L] This difcovery immediately brought to mind a paffage in Profpcr Alpinus *, and gave fome ap- pearance of probability to a relation, which, as he himfelf infinuates, might give great reafon to doubt his veracity. Speaking of the ftone image of a fcarabceus , which was found in the bread; of a Mummy he adds : £C lucre dibile didlu, rami rorifma- legs, with anxiety and a fenfe of tremor over the whole body. I was fent for, but his complaints were greatly diminifhed before I came I found his pulle very quick, irregular and fmall: but I could find no new caufe for the return of his complaints. He had after this fome fmaller attacks : but in the night of the 23d he was feized with a violent fit of the fame fort, with ftretchings, and as it prickling fparks were flying continually out of the fkin. He had palpitation of the heart, and complained of the want of breath: his left fide turned cold, and his right fide grew hotter. When I came he was grown better, but the pulfe hill very fmall, frequent and inordinate. 24th, He was again attacked in the fame manner in the night time, and it alfo went off in the fame manner : but he now grew feverifli and kept his bed fome days. By the word flretchings I mean the ftretching of his body and limbs by a flow and gentle convullion of the extenfor mufcles 3 for in all the attacks I never obferved the flexores any way affieCted. — His feel ings were frequently fo odd that, he faid, he could not defcribe them. He often felt as if his left lide, from [ 23 ] from his head to his wafte was empty, and that millions of fmall bodies were drove up and down with great velocity : which he likened to the (haking of peas in a bladder. I tryed many kinds of remedies to rid him of this diforder. Fie found often relief from them, but the ailments returned again. The remedy I found the moft effectual was my putting him on a milk diet, and making him drive hard on a cart every day, forenoon and afternoon, which he continued to do for feveral weeks. His complaints all decreafed ; and, when he was threatened with an attack, a few drops of fpirits of hartfhorn and lavendar, or the like, were now of fervice to him, which formerly had no effed. In fhort, I gave him again animal food, and he kept his health pretty well. The firft year after this he was always fearful; and often complaining, of what appeared to me fmall things, but by little and little he got the better of thefe alfo. Though he always continued to avoid handling metals, minerals, or things painted with thefe bodies. When I left Rufha, he was very well ; and I have lately heard by a letter that he continues fo ; and I believe obferves the fame circumfpedion about paints and metals as before. Ill Tk C 24 ] III. The Defcriptlon of a new and fafe Crane , which has four different Powers ; invented by Mr. James Fergufon, F. R. S. Read Jan. 19, H E common crane confifts only of 1 + JL a large wheel and axle; and the rope, by which goods are drawn up from fhips, winds or coils round the axle, as it is turned by men walk- ing in the wheel. But, as thefe engines have nothing to flop the weight from running down, if any of the men happen to trip or fall in the wheel, the weight defcends, and turns the wheel rapidly back- ward, and toffes the men violently about within it ; which has produced melancholy inftances, not only of limbs broke, but even of lives loft, by this ill- judged conftrudtion of cranes. And befides, they have but one power for all forts of weights ; fo that, they generally fpend as much time in raifing a fmall weight as railing a great one. Thefe dangers and imperfedlions made me think of a method of remedying them. And for that purppfe, I have contrived a crane with a proper flop to prevent the danger, and with different powers fuited to different weights ; fo that there might be as little lofs of time as poftible : and alfo, that when heavy goods are let down into fhips, the defcent may be regular and deliberate. This crane has four different powers : and, I be- lieve, it might be built in a room eight feet in width ; the gib being placed on the outfide of the room. Three Philos. Trajttr. 7*1. X/r. TAB Up 24. / C 2 5 ] Three trundles, with different numbers of daves, are applied to the cogs of a horizontal wheel with an upright axle ; and the rope, which draws up the goods, coils round the axle. The wheel has 96 cogs, the larged; trundle 24 daves, the next larged 12, and the finalled has 6. So that the larged trundle makes 4 revolutions for one revolution of the wheel and it’s axle, the next larged makes 8, and the fmalled makes 16. A winch is occafionaliy put upon the axis of either of thefe trundles for turning it- the trundle being ufed that gives a power bed fuited to the weight : and the handle of the winch defcribes a circle, in every revolution, equal to twice the circum- ference of the axle of the wheel. So that the length of the winch doubles the power gained by the revolutions of each trundle. As the advantage gained by any machine or engine whatever, is in dired proportion of the velocity of the power to the velocity of the weight , the powers of this crane are eafiiy edimated; and are as fol- lows. If the larged trundle be turned by the winch, it will make four revolutions for one revolution of the great axle on which the rope coils in drawing up the weight and as the length of the winch is double the femidiameter of the axle, the power gained will be as eight to one : that is, a man will be able to raife eight times as much weight by means of the engine, as he could do by his natural drength without itT al- lowance being made for fridion. i If the weight be too great for this power to raife, the. fecond trundle may be turned by the winch, which will turn the wheel and axle twice as flow as Vol. LIV. E the [ 26 ] . the largeft trundle did; becaufe it makes twice as many revolutions for one revolution of the wheel and it’s axle : and then the power gained will be as fix- teen to one, becaufe the velocity of the power will be fixteen times as great as the velocity of the weight. If the weight be too great for this power to raife (which we ftill fuppofe to be exerted by one man) the winch may be put upon the axis of the third (or fmalleft) trundle, and then, in turning the winch, the power gained will be as thirty-two to one. But if the weight fhould be too great, even for this power to raife, the power may be doubled by draw- ing up the weight by a double rope, going under a pulley in the moveable block which is hooked to the weight, below the arm of the gib ; for then, the power will be as fixty-four to one. If the block has two pullies, and the rope be twice doubled below them, the power will be as 128 to one: and fo on, by adding more pullies, according to any required proportion. Whilft the weight is drawing up, the racch-teeth of a wheel Hip round below a catch or click that falls fucceffively into them ; and fo hinders the crane from turning backward, and detains the weight in any part of it’s afcent, if the worker fhould happen acciden- tally to quit his hold of the winch ; or choofe to reft himfelf before the weight is quite drawn up. The catch, in this crane, is conftrudted much in the fame way as in the great crane at Briftol, invented by the late Mr. Padmore, of that city. In order to let down a weight, the man who works the crane pulls down one end of a lever of the fe- cona kind, which lifts the catch out of the ratchet- wheel, [ 27 ] wheel, and gives the weight liberty to deicend. But if the defcent be too quick, he pulls the lever a little farther down, fo as to make it rub againfl the round edge of a wheel, by which means he lets the weight go down as flowly as he pieafes ; and, by pulling a little harder, he can fop the weight, if needful, in any part of it’s delcent. If he accidentally quits his hold of the lever, the catch immediately falls, and fops the whole machine. In the figure of this crane [Tab. I.] A is the great wheel, and B it’s axle on which the rope C coils. This rope goes over a pulley D in the arm of the gib E, and is hooked to the' weight F for drawing it up. G is the winch, H the largeft trun- dle, I the next largeft, and K is the axis of the fmalleft trundle, which is fuppofed to be hid from view by the upright fupporter L. M is a trundle, which is turned by the great wheel; and on the axis of this trundle is fixt the ratchet wheel N, into the teeth of which the catch O falls. P is the lever, from which goes a rope QjQ^over a pulley R, to the catch; the end of the rope being fixed into the lever and catch. S is an elaflic bar of wood, of which, one end is fcrewed to the floor ; and from the other end (out of fight in the figure) goes a rope to the farther end of the lever, beyond the pin or axis on which it turns in the upright fupporter T. The ufe of this bar is to keep up the lever from rubbing againft the edge of the wheel U, and to let the catch keep in the teeth of the ratchet-wheel. But, when the end P of the lever is pulled down, it lifts the catch out of the ratchet wheel by means of the rope QCF and gives the weight F liberty to defcend : E 2 bi* [ 28 ] but if the lever be pulled a little farther down than what is fufficient to lift the catch out of the teeth of the wheel, it will rub againft the edge of the wheel V, and thereby hinder the too quick defcent of the weight j and will quite flop the weight if pulled hard. And if the man fhould happen inadvertently to let go the lever, the elaific bar will pull it fuddenly up, and the catch will fall down into the wheel, and flop the machine. WW are two upright rollers, above the axis or upper gudgeon of the gib E : their ufe is to let the rope bend upon them, as the gib is turned to either fide, in order to bring the weight over the place to which it is intended to be let down. N. B. The rollers ought to be fo placed, that if the great rope were flrctched clofe by their outermoft fides, the half thicknefs of the rope may be perpen- dicularly over the center of the upper gudgeon of the gib. For then, and in no other pofidon of the rollers, the length of the rope between the pulley in the gib and the axle of the great wheel will be al- ways the fame, in all portions of the gib ; and the gib will remain in any pofition to which it is turned. When either of the trundles is not ufed in work- ing the crane, it may be drawn off from the wheel, after the pin near the axis of the trundle is drawn out, and the thick piece of wood is raifed up a little, behind the outward fupporter of the axis of the trun- dle. But this is not material : for, as the trundle has no fridion on its axis but what is occafioned by its own weight, it will be turned by the wheel without any fenfible refinance in working the crane. IV. 0/ [ *9 ] IV. Of the Moon’s Di fiance and Parallax': A Letter to Andrew Reid, Efq\ from P. Murdoch, D. D. a?id F. R. S. 12 Nov. 1763. S I R, Have at your defire wrote out what I was mentioning to you in our la ft con- verfation ; of an eafy rule for determining the Moon’s diftance, from the received theory of central forces : which I wifh may merit your approbation : it will at leaft ferve as a teftimony of the efteem and regard with which I am, &c. Read Jan. 1764. 20, I. Sir Ifaac Newton, inveftigated the law of gravitation, in the duplicate ratio of the diftance of the central body inverfeiy, from the following data. 1. The length of a fimple pendulum which vi- brates in one fecond of time, gave him, by Huygens’ theorem, a determinate meafure of the force of gravi- ty, at the place of obfervation. And, by his own theory, he could thence infer the like meafure for any other place, of a given latitude 2. The Earth’s femidiameter was computed from the Abbe Picard’s meafure of a degree of the terreftrial meridian. * See one of the Eflays prefixed to Bufching’s Geography. 5. The C 30 ] 3. The Moon’s parallax, as determined by the moftfkilful aftronomers, gave him the Moon’s diftance in femidiameters of the Earth. 4. The time of a periodical month gave him the ratio of the verfed fine of the arc of the Moon’s orbit which fhe defcribes in one fecond j to the radius. And from thefe his conclufion was ; that the gra- vitation at the Earth’s furface, being diminished as the fquare of the diftance from the Earth’s centre increafes, would, at the diftance of the Moon, produce a fall from reft, in onz /econd, precifely equal to that verfed fine. Or, that the gravitation of the Moon toward the Earth, being increafed as the fquare of that dif- tance is diminiftied, would, at the Earth’s furface, be of the fame quantity as that of falling bodies is (by the experiment of the pendulum) a&ually found to be. II. Bat the law of gravitation, thus deduced, being found to hold univerfally, and reciprocally, amongft all the great bodies of our fyftem, fo that even the minute anomalies of their motions are explained from it ; we may now afiume it as given, and make the Moons diftance the quantity fought. Thus, writing F for the number of feet which a body falling from reft, defcribes, in vacuo> at the equator, in one fecond , V for the verfed fine of the arc of the moon’s orbit defcribed in the fame time, to the radius unity, D for the femidiameter of the equator in feet, and the ratio of the diftance of the centers of the earth and Moon, to the femidiameter of [ 3i ] of the earth, that of X to i : We fhall have, by the general law, the Moon’s fall in W, equal to jp ^ ; but the fame fall is equal to VxDxXj whence F 3 / p — X3 — yyjy and X — V is the diftance fought,. in femidiameters of the equator. Nowafimple pendulum which beats feconds, mea- furing, at London, 39.1 26 inches ; if the ufual al- lowance is made for the weight of the air, and for the Newtonian figure of the Earth *, the weight taken off by the centrifugal force being like- wife reftored, a fecond-pendulum at the equator would be 39.154 inches long. And, by Huygens’ rule,, half this length is to the initial fall in one jecond, in the duplicate ratio of the diameter of a circle to it’s circumference: that fall therefore, at the equator, and in vacuo, is 16.ro 1 85 feet y the logarithm of which number is 1.2068645 — l°g- F. The toifss in a degree of the equator, or, which is the fame, in a degree of the meridian at lat. 544, being nearly 57200, the logarithm of the number of feet Englifh in the femidiameter of the equator. that is log. D will be nearly — And the log. verfed fine of the Moon’s arc in 1" , being — — — 7.3211900,, 2.5492882, Their Sum — — — — .—.5.8704-82 taken from log. F, leaves + 5.3363863, a third of which is 1.7787954, the logarithm of X — 60.08906 femidiameters of the equator. * See die Eflay quoted above. And ! And the arithmetical complement of this lad loga- rithm, which is — 2.2212046, is the log. tangent of the Moon’s mean horizontal parallax at the equator; which therefore, is 57' 12", 34. Such would be the diftance of the Earth’s and Moon’s centers, were the Earth immoveable : but it is fomewhat increafed by their revolution round their common centre of gravity. Writing x 1 for that diftance, divided by the centre of gravity in the ratio of x to 1 ; imagine a fphere of the fame dimenlions as our earth, placed at that centre, to exert the fame attradive force on the Moon as our Earth adually does, the periodic time remaining unaltered : then mud the denfity of this fphere be diminished in the ratio of x% to x-\- 1 r, that its nearer diftance from the Moon may be com- pensated by the defed of denfity and attradive force. If now an inhabitant of the fiditious earth were fup- pofed to compute its diftance from the Moon, in the manner juft now (hewn 3 the quantities V and D would be the fame as in the former calculation ; but his j would be to our F, as x" to x 4- 1\ and thence, his x would be to our X as x r to x-|-i f , This is the diftance from the fiditious Earth, or from the common centre of gravity; but (T) the III. 2 that is, x — - 4. x X. v J r J .*• -(- r diftance from our Earth, is I X — — |f-xX, greater, A- 4 - I 1 3 0 as [ 33 1 as was fuppofed, in the ratio of x-\-i to x-y that Is, ■txX=VH±Ixx. X Sir Ifaac Newton, from th z phenomena of the tides, eftimated the ratio of to x to be that of 40.788 to 39.788. In that cafe, the cubic root of — will have for its logarithm 0.0035934; which added to 1.7787954, the logarithm of X computed for an immoveable earth, gives 1.7823888, the lo- garithm of 60.5883 femidiameters of the equator. And the Moon’s horizontal parallax, for this diftance, is 56' 44", 07. IV. On the other hand, if we had obfervations of the Moon’s parallax (and diftance) which could be reckoned exad: enough for the purpofe, we might thence determine the ratio of a; to 1, that is, the ra- tio of the quantities of matter in the Earth and Moon. For having J = and ; likewife A. X X*. ^ X T being given from obfervation, and X computed as above ; it is manifeft that the ratio of x 1 to at, and, by divifion, that of x to 1, or of the mafs of the earth to that of the Moon, is given. For example, if it fhould be concluded from good obfervations, that T, the Moon’s mean diftance, is 604. femidiameters of the equator ; for the logarithm of this diftance, which is 1-7317554, take the lo- garithm of X, or 1.7787954, thrice the remainder Vol. LIV, F will C 3+ ] will be o.co888, the logarithm of — ? — 1.02066- and the maftes of the Earth and Moon would, on this fuppofition, be as 48.4027 to 1. In all this, a fmall variation from the law of at- traction, arifing from the fpheroid-figure of the earth, is neglected as inconfiderable ; which it will be found to be by whoever takes the trouble to compute its quantity and effects. REMARKS. 1. If F and D were taken of their juft quan- tities, the Moon’s horizontal parallax for an immove- able Earth being, at the equator, 57' 124", is a limit which the true mean parallax cannot exceed : and the correfpondent diftance 60.08906 is a limit which the diftance cannot fall fhort of : both being com- puted upon the fuppofition that x 4- 1 — x, or that the matter of the Moon is as nothing in comparifon of the Earth. Nor ran the parallax and diftance be fuppofed to lye very near thefe limits, without leav- ing too little attractive force in the Moon to raife the tides. 2. If the Moon’s mean apparent femidiameter is 15' 381", and the diftance of the centers 60.5883 femidiameters of the equator, according to Sir llaac’s eftimate of the maftes ; the femidiameter of the Moon will be 0.275601 parts of the femidiameter of the equator, or .2763 of a mean femidiameter of the Earth. And the magnitudes of the Moon and Earth being as the cubes of their femidiameters, if the inverfe ratio of their magnitudes is joined to the 5 direCt L 55 3, direct ratio of their maffes (i to 39.788) the fum will be the ratio of their denfities, that of 1.19143 to 1, a little lefs than 6 to 5. 3. Suppofing ftill the fame femidiameter of the orbit as before, the force of gravity will be to the Earth’s attractive force on the Moon as 3670.94 to j , and to the Moon’s force on the Earth as 40.788 times that number, or 149730.4, to 1. Again, the force ot the Moon upon that furface of the ocean to which tine is vertical, being to her force on the Earth’s centre, as the fquare of 60.5883 to that of 59-5883 ; and the difference of thele fquares being to the latter as 1 to 29.54623, this difference of the forces will fupport the weight of one 4423968th part of the water at the vertex. And, becaul'e the Earth’s femidiameter is fmall in companion to the Moon’s diftance, the like differences of force will decreafe from the furface to the centre, nearly in an arithmetical progreffion, as the weight of the water does ; making the cafe analogous to the diminution of gravity by centrifugal force. But it is likewife eafily fhewn, that half this quan- tity of lunar force exerts itfelf to deprefs the waters all around at the didance of 90 degrees from the vertex ; i. therefore of the former fraction, that is one -2949312 part of the force of gravity, will be the to- tal caufe of the difference in heigth of the flood and ebb, in an open and boundlefs ocean. Say therefore, if (in determining the figure of the earth) of gravity, fufpended by the centri- fugal force, gave, for the difference of diameters T^.T, what will one 2949312 part give ? and tjae anfwer, in feet, will be 8.887; [ 36 ] 4- In like manner, if we take 8"4 for the Sun’s parallax, and, thence, his diftance from the Earth 23468,6 femidiameters of the equator, we (hall find that his whole force to produce a difference of Flood and Ebb, is to his force at the Earth’s centre, as 1 to 78234* But the Sun’s diftance being to the radius of the Moon’s orbit as 387.34535 to unity, this laft force will be to that of the Earth on the Moon, as 387,34535 to 178.7234 (by cor. 2. prop, princip. I.) And the Earth’s force on the Moon is to gravity as 1 to the fquare of 60.5883 j whence, adding thele ratios, the Sun’s force to move the fea will be to the force of gravity as the fraction whofe logarithm is — 8.1778026 to 1 j or gravity is to that force as 13249445 to unity. And therefore, by the fame analogy as above, we find the difference of Flow and Ebb , from the Sun alone, to be 1.97824; one foot ill inches. The folar force therefore, in raifing the tides, is to the lunar, as 1 to 4.4924, in a ratio fomewhat lefs than that computed by Sir lj'aac . The ratio likewife of the fum of the forces to their difference is but 7.869 to 5> in^eac^ of 9 t0 5> which he affumes from comparing the Jpring and neap- tides at Brijlol. And it is indeed furprizing, how he could, from that datum , arrive at conclufions fo near the truth, as his very probably are. He tells us he ufed the ratio of 9 to 5, only till a more certain could be procured, And therefore the foreign mathematicians, who have cenfured him on that head, and on fome other articles of this doCtrine, might have fpared their reflexions ; at leaf! till they could fhew that their own deductions were more agreeable to nature and obfervation. 6. Unity [ 37 ] 6. Unity reprefenting the force of gravity, d the Sun’s diftance, the Earth’s force on the Sun will be or the fra&ion whofe logarithm is — 9.259021.8. And the folar force on the Earth is (from the num- bers in remark 4) to the force of gravity as 1 to 1673.1: whence the attractive forces (and malfes) of the Sun and Earth will be as 325172,3 to 1. Add to this the inverfe ratio of their magnitudes, collected from the Sun’s mean apparent femidiameter 16'. 6", and the parallax 8"*; and the denlity of the Sun will be to that of the Earth, as 1 to 4.068. All this upon the fuppofition that the maffes of the Earth and Moon are as 39.788 and 1. Hereafter, when the Moon’s diftance fhall be more certainly known, that element may be corrected, and the ope- rations repeated. As to the Sun’s parallax 8//r±, it cannot be much affeCted by any future determination of the Moon’s diftance. Nor is it here affumed of that quantity, at random 5 but from a theorem deduced from the efta- blifhed principles. I am, however, too diffident of myfelf to communicate it at prefent : becaufe, altho’ it agrees very well with Mr. Short's conclufion from the Tranfit of Venus , it differs confiderably from that which a very learned and juftly celebrated author hath lately publifhed. Note, The periods, as affumed in this paper, are ; a fidereal year of 365.2563923 days j the periodical month 27.32165835 days. y. An [ 38 ] V. An Attempt to Account for the Origin and the Formation of the Extraneous Fojfd commonly called the Belemnite. [Fide Tab. III. IV. V.] By Mr. Jolhua Platt. To the Right Honourable George Earl of Maccles- field Prefident, and to the Council and Fellows, of the Royal Society, the following Attempt to ac- count for the Origin and true Formation of the Extraneous Foflil commonly called the Belemnite, is humbly addreffed, by Their much obliged and obedient humble Servant, Jofliua Platt. % The Thilos.Trans.Vol.ZTV: TAB. TV. j>. 38. J.Afynde- J&. Fhi/os. Tmns-Vol .UV.TAb.'V. /> 3 tf Tig-. 16. J.Jllyrlii? Jo. C 39 ] Read Jan. 26, rpHE public hath of late been a- £ greeably entertained with defcrip- tions of many curious Foffiis diicovered in different parts of this kingdom : but very little hath been of- fered with a view to afcertain their origin and forma- tion ; a point of much greater importance to a curi- ous mind, than the moft accurate defcriptions, or the neateft delineations. It may indeed be thought un- neceffary at this time, to fay any thing of the origin of extraneous Foffiis in general ; all our modern naturalifts being fully convinced, that they are the exuviae or remains of animals and vegetables, and the greater part of them of marine prod udtion. But as to their particular origin and formation ; in what manner they were produced in the recent, and how and with what matter they afterwards be- came impregnated in their foffil ftate ; all this is a field of natural inquiry, that has been very much neg- lected, notwithftanding it is the moft fertile and pro- ductive of ufeful and entertaining knowledge. Be- ftdes, were we to confident in this view, the recent and foffil remains would be found to throw a mutual light upon each other, and the naturalift would not be fo often at a lofs to clafs every new foffil acquifition, of which the recent fpecimen is not to be found, ei'peci- ally whenever the foffil has any thing feemingly aequivocal in its formation, fo as on a fuperficial im- fpedtion to render the matter doubtful, whether the body belongs to the animal or vegetable kingdoms, or indeed to either of them. One of the fir ft note is the Belemnite, which has not until very lately been even ranked amongft the marine productions ; but [ 40 ] but whofe origin and formation have never yet been fully explained. I lhall not enter into a minute detail of the leveral fpecies of the Belemnite. The hiftory of this extraneous foffil, or an attempt to account for the origin and formation of the Belemnite, fo far as they can be difcovered and confirmed by reafonings drawn from fads and experience, is the objed of the prefent enquiry. I fhall therefore confine my fie If to two fpecies of the Belemnite ; the one com- mon in moft counties of this kingdom, and vulgarly known by the name of Thunder-bolt [a] : the other that of the fuiiform or Spindlekind [Z>], found in fiate-flone at Stons-field, but in far greater plenty in the day near Piddington [c] Oxfordfhire ; anti in the chalk-pits of Kent and Surrey [ A VVv-W Cc l . 'V cyi5.( . G contain [ 42 ] contain the fame in fome very fmall, in others fcarce or not at all vifible”. — But I flatter myfelf, that it will be found upon enquiry, that thefe are only cir- cumftances, which are common to other teftaceous bodies, that have been accidentally broken or decayed by time, when forfaken by their inhabitants. For no teftaceous body can be formed without an inhabitant 5 nor does it appear to me, that any Belemnite was ever formed without an alveolus, or concamerated fhell. The conical cavity and its nucleus are always pro- portioned to the bulk of the Belemnite, but not to its length : fome are four times longer in proportion to the alveolus than others. The apex of the conical cavity, where the alveolus is firft formed, in fome runs up about half the length of the whole Belemnite ; in others not a fixth part of the whole [£] : but the aperture, or upper chamber [/] is equally proportionable to the bulk, or circumference of the Belemnite, of whatfover lize or ftiape; and is the feat [m] or dwell- ing-place of the animal, that forms the Belemnite. In what manner this work is executed, I fhall now endea- vour to explain. A conflderable part of marine bodies, efpecially thofe of the teftaceous tribe, are generally buried in mud or fand, except fome few, which ftick to rocks, &c. as the limpets and periwincles ; by which means we are prevented from making thofe remarks upon the feveral ftages of their growth, which an accurate enquirer would defire. We muft therefore have re- ly] Fig. 8. [/] Fig. xiii. b. [r«] We never find a Belemnite with part of the alveolus, hut the veftigia or marks of the remainder appear in the cavity, and are continued to the verge of it, courfe C 43 1 courfe to the different fteps or periods of their life and growth, as they are marked out by the indented, lips or foldings of the fhell ; untill they arrive at their full fizej when they begin to fortify them- felves, by bulwarks and ftrong holds, againft the injuries and incidents, which attend old age. This is mofl confpicuous in the cowree, or concha Veneris of Lifter, book iv. fecft. 9. Mr. Reaumur [»] found, by repeated experiments, that land fnails form their fhells by juxtapofition : as the animal grows in bulk, the fhell is increafed by a mucous matter emitted from the body of the animal, whic hbardens by degrees into a teftaceoas fubftance : and from the experiments upon land fhells that great naturaliftconcludes by analogy, that all teftaceous bodies are formed in the like manner, particularly thofe of the turbinated kind. To this general rule an objection is made by Mr. Poupart, from the formation of the cowree, or con- cha Veneris before mentioned: but this learned gen- tleman was not aware, that this fhell is firft a buccinum, forming many convolutions before it draws in the verge to form the indented lip. It was this very objection of Mr. Poupart, which led me to examine into the growth of the cowree ; and by fawing one of them through the middle, Ifound a turbinated flaell within the outer wall, confiding of fix or feven convolutions, but no ftages, or periods, of the indented lip appeared in any of the convolu- tions, as we find in the helmet fhell, andfeveral of the buccinae. I then began to confider how this animal enlarged its d welling ; and was fully convinced, that [«] See his book ofinfedts, G 2 no [ 44 ] no more convolutions could be carried on j the in- dented lips being a full flop to its inward dimenfions ; and that here was the period of its growth. My fentiments were juft as to its inward dimenfion; but obferving that the lips of fome were much larger than others, and that the curved part of the outer lip appeared thicker, when fa wed open, than the other parts of the ftiell ; I began to think, that the animal, inftead of enlarging the inner dimenfions, was employed in thickening the outer wall, to guard againft injuries and accidents, fo common to the inhabitants of that turbulent element the lea. I was the more confirmed in thefe fentiments by feeing the' beautiful fpots, with which this animal decorates its houfe, covered by other fpots of different colour and ffze, as new laminae were added to ftrengthen the laft-formed convolution. It is really matter off admiration to fee how thefe fhells are adorned and variegated ; theexquifite poliihi which covers the whole infinitely furpaffing-the fkill even of the moft accom- plifhed human artift. Thefe new coverings or la- minae, which are carried from the lips, terminate in- the middle of the back part of the Ihelff and there' form a lift, or feam, of a quite different colour from that of the other part of the ihell, and of an unequal* lurface. This very circumftance gave birth to my fentiments concerning the formation of the Belemnite: for who- ever confiders the feam or fulcus in the Belemnite, will, I think, conclude with me, that the outward lamina is formed lateft, as in the cowree, and that the feam or fulcus iscaufed by. the feveral additional- coverings or laminae terminating there. But as the anatomift makes frefli difcoveriesi by difteding the fubjed, C 45 1 fubjedt, fo (if I may be allowed the comparifon) T received farther information by luckily meeting with a Belemnite, whofe lamina* were in a manner didedted and laid open by the vague acid, or fome other cor- roding mendruum, which every where pervades the earth, deftroying fome bodies [0], and forming others [/>]. The lamina: of this truly wonderful body are here expofed to view [y], and plainly fhew us, that nature, in this, as in all her works, purfues the moft fimple, eafy, and fhorted methods, though they appear ever fo intricate and interwoven. This fpecimen will, I hope, ferve to explain a matter, which hath fo long puzzled the curious in natural hidory ; and convince us, that there is nothing ..more’ wonder- ful in the formation of the Belemnite, than in that of a cockle, oyder,, or any other tedaceous fub- dance; with this difference only, the oyder drengthens its (Hell, and excludes its fird habitation, by additional laminae formed withiny the Belemnite inclofes its dwelling by adding new laminae without . Figure X. reprefents the Belemnite fplit up the middle, with the fiphunculusin the front t a, b exhibit the fird: formed cell, or feat of the animal ab ovo. As theanimal grows larger, it forma afecond cell or cham- ber b to cy at the fame time covers the fird cell, by forming thoappendage or guard c3 i, which is the fird dageof the Belemnite. In forming the third cell c, d3 frelh laminae or coverings are carried, on from dy to k-x, and fo of the red, e3fy g>h\ or /, my 72, 0. When we have duly confidered the manner, in which the fhellis [ T Herewith lay before you, for your in- JL fpedion, the drawing, by the inge- nious Mr. Pailiou, of an animal very leldom, if ever, feen alive in England [Tab. VII.]. It is now alive in excellent health, and in the poliefiion of the right honourable the Lord Southwell. It is called by Linnaeus, in his Syftema Naturae, Dalypus cingulis novem, pailmis tetradattylis, plantis pentada&y- hs. Marcgrave and Ray have both deferibed it under the appellation of Tatue Bralilienlicus. Albert Seba has likewife deferibed it in the firft volume of his ele- gant and elaborate Mufeum. He calls it Tatou, live Armadillus Americanus. The figure attending his defeription is taken from a dead animal. The drawing therefore is hard and ftiff, and the colouring does by no means come up to the living animal. This creature, which is called by naturalills the American Armadilla, was brought hither a few months fince to Lord Southwell, from the country near what is ufualiy called the Mofquito fhore, upon the American continent. Its weight is feven pounds V o l. LI V. I avoirdupois. [ 5*] avoirdupois, and its fize that of a common cat. It is a male, and has improved greatly both in appear- ance and colour, fince it has been in his Lordfhip’s poffcflion. It is fed with raw beef and milk, and refufes our grain and fruits. In its own country, according to the accounts of thofe who treat of it, it burrows in the ground. As there is no good figure of this animal exifting in any of the authors, who have treated of it ; and as Lord Southwell has been fo obliging as to permit me to have one taken of it by the before-mentioned able artifi: ; I had reafon to believe, that the infpe&ion of it would not be dilagreeablc to the Society. I am, with all imaginable regard, ~ Gentlemen, Feb. 9, 1764. Your moft obedient, humble Servant. W. Watfoiw VIII. An C 59 j VIII. An Account of the Quantity of Ram fallen at MountVBay in Cornwall, and of the W lather in that Place : In a bet- ter from the Rev . William Borlafe, M. A . and F . R. S. to the Right Rev . Charles Ford Bifhop of Carlifle, F. R . S. My Lord, Ludgvan, 0<5t. 31, 1763. Read Feb. 16, A T Carlifle, I find by your Lord- *764. Flip’s note, there fell fix inches and half of rain in the months of June and July laF. In Mount s-Bay Cornwall, according to my ombrometer there fell In: Tenths Parts In June — - — - 2 — 6 — _L 1 in^es tenths Parts In July 4 — 3--0 j ' 9 -r So that the rain in this part of Cornwall exceeded that at Carlifle almoF half an inch. I could wifh the gentleman at Carlifle would continue his obfervations, adding thereto a journal of Farenheidt’s thermometer, and that we had another equally curious at Cathnefs, at leaF Aberdeen. It is fome amufement to compare the journal of the weather in one part with the accounts in the papers of Forms, heats, and drought, and their contraries, in another. On the 1 1 th of AuguF, there was at Bruffels a mold dreadful Form of thunder, lightning, and hail ; at Ludgvan only miFy-rain and Flowers. On the 19th of the fame month, when one of the moF violent hurricanes ever known fcourged fome I 2 parts [ Go ] parts of Kent from the Weft and South-Weft, it was calm, hazy, and fun-Shine, and the windatNorth- Eaft, in Mount’s-Bay, in the morning ; in the evening South-South-Eaft. On the 2d of this month of Oft. there was a moft violent ftorm on the Eaftern coafts of Britain, from Yarmouth to Edinburgh * wind from the North- Eaftand Eaft-North-Eaft; many Ships diftreffed, many wrecked. What is remarkable, at the fame time a likeviolentftorm blewin theWeftern channel, along the coaft of Cumberland, Lancafhire, and Wales, but the wind from the Weft. In Mount’s-Bay the wind was fomewhat ftormy and (howerydn the morn- ing, the wind at Weft half North ; in the afternoon windy and Showery and Sun-Shine, Weft half South. You fee how different, nay oppofite, the winds, even in their extremeft violence, are on the Eaftern and Weftern coafts, where they have nothing between them but a narrow ridge of land. The caufe of this remarkable opposition, I Should be glad to fee well explained. It muft certainly have lain in the middle between the two forces; and it might contribute l'omewhat to the difcovery, to know whence, and. to what degree, the wind blew on the mountains in Scot- land, and as far South as Derbyshire, from Sunday morning to Monday noon : but thefe are particulari- ties not to be expefted till the age becomes more philosophical. I remain, my Lord, Your moft obliged and obedient Servant, W. Borlafe. IX. An [ 6r 3 ' IX. An Account of a Hernia of the Uri- nary Bladder including a Stone: By Mr, Percival Pott, Surgeon to St. Bartholo- mew’s Hofpital , and F. R. S. Read Feb. 16, A Healthy boy, about fix years old, I/64- was fuddenly feized with a moft acute pain, at the bottom of his belly; during- the time the. pain lafted he could not difcharge a drop of urine, tho’ he frequently endeavoured. After about an hour and half, he became perfectly _ eafy on a fudden, and pifted very freely. A few days after this, a fmall tumor, about the fize of a large pea, was diicovered; in the upper part of the fpermatic procefs, juft below the groin. As this tumor was perfectly indolent, and gave the child no kind of uneafinefs, no notice was taken of it. By- fiow degrees it defcended lower and lower; and as it- defcended it feemed to increafe in fize : the boy was cbferved to make water oftener than ufual, but without pain or difficulty.- He was looked at by two or three practitioners in the country, who, not knowing what to make of it, advifed the letting it alone; at la ft, in the fpace-of five years, it got to the lower part of the fcrotum ; and, after it was got thi— 1 ther, it was obferved to increafe in fize much fafter than it had done before* The boy was at a great dift- ance from London, and his friends could ill bear the expence of going thither with him; fo that another year pafied away after the tumor was got into the laft-mentioned fituation. At laft, when he was about thirteen C 62 J thirteen years old, the (welling becoming troublefome, and the people in the country not caring to meddle with ir, he was brought to London. Two or three gentlemen of the profeffion, to whom he was (Lowed, took it for a fchirrhous tefti- cle, and advifed the extirpation of it j to which the child’s friends would not confent. When he was brought to me, I examined him very carefully, and was fatisfied that the tumor, (which was now about as big as a middling chef- nut) was not formed by the tefticle : but, though I was clear that it was not formed by that gland, yet I could not find any teftis on that fide. The (welling was (fill perfectly void of pain; had a ftony, incompreffible, hardnefs ; was troublefome to the child when at play or ufing any brifk exercife, but never gave him any uneafinefs when he fat, or (food (fill. It had all the appearance of being de- pendent from the fpermatic procefs ; but the pro- >cefs, tho’ it had neither the look nor the feel of being difeafed, was yet too large, and too full for a child of that age, and larger and fuller than that of the other fide. The perfect equality and fmoothnefs of the tumor, its extreme, incompreflibility and its being per- fectly free from pain, even when prefied with fome force, were the circumftances which induced me to believe that it was not the tefticle ; but, tho’ I was in my own mind fatisfied of that, yet I cannot fay that I was by any means clear what it was ; and all that I could determine, was, that it certainly ought to be removed ; as well on account of the trou- ble it now gave, and its manifeft difpofition to increafe, C 63 ] increafe, as that I could not forefee any great haz- ard that was likely to attend its extirpation. From the uncertainty in which I was concerning the true nature of the cafe, I determined to adl very cautioufly. I made an incilion thro’ the fkin and cel- lular membrane, from the upper part of the fcrotum quite down to the lower; by which I difcovered a firm, ftrong, white membraneous cift, or bag, con- nected loofely with the fkin by means of the dartos ; I differed all the anterior part of this cift, quite clean ; and found, that, as I traced it upward, it be- came narrower, and feemed to proceed from the groin : This determined me to try if I could not free the pofterior part of it alfo. In doing this I difcovered • the tefticle, . which was much comprefled, flat, very fmall, and lay immediately behind the tu- mor. The diftedlion of the tefticle and of the fpermatic chord from the bag, and from its neck (which I was obliged to do in order to preferve the teftis) took up fome time, and gave me fome trouble ; but, when I had finifhed it, 1 found that the cift was de- pendent from, or continuous with, a membranous tube, or dudl, of about the breadth of a large wheat ftraw, which feemed to pafs out from the abdomen, thro’ the opening in the oblique mufcle, along with the fpermatic veftels. When I had perfectly freed this du£t from all con- nexion, I cut it thro’ immediately above the tumor; upon the divifion of it a quantity of limpid fluid i (not lefs than two ounces) followed, and the mouth of the cift expanding itfelf difcovered a large ftone, exadtly refembling the calculi found in the urinary bladder; [ 64 ] bladder; which done was clofely embraced by the faid cid. As there was not the lead; appearance of any fluid either in the bag or dudt, before it was cut off, this difcharge, together with the done, induced me to fuf- pe£t that the cafe was a Hernia . ciflica. In order to be certain, I daid fome time j and, when I thought it was probable that fome urine was derived into the bladder, I defired the boy to make water; he en- deavoured fo to do, and a full dream of urine flowed out through the wound in the groin,, which put the cafe beyond all doubt. I drefled him fuperficially he had no bad fymptom ; his urine all palfcd out. by his wound for a fortnight, or twenty days; at the end of which time, the wound gradually contra&ed ; all the urine came through the urethra; and at the end of a month he was perfectly well. P. Pott. / IX. Some 1 f/.J M BQmlJ&S; y: ®I ( i a ■^E^L / ' 1 ! \ v/ \ , y flf///r*Ss Jr. [ ^5 ] X. Some Obfervations on the Cicada of North America, Colle&ed by Mr. P. Col' linfon, F. R. S. London Nov. 2, 1763. Read Feb. 23, y Pennfyl vania the Cicada is leen annu- J/ !' ally, but not in fuch numbers as to be remarkable j but at certain periods, of 1401- 15 years diftance, they come forth in fuch great fwarms, that the people have given them the name of Locujis . About the latter end of April thefe Cicadas come near the fuiface : this is known, by the hogs rout- ing after them. They creep out of the ground, near the roots of trees, in fuch numbers, that in fome places, the earth is fo full of holes, it is like an honey-comb. Their firft appearance is an hexapode (an ill-fha- pen grub) with fix feet. This is their middle or nymph flate : they creep up every thing near them, and fix their claws faft, on the fhrubs, and bark of trees : then the fkin on its back burfts open, and the fly comes forth, difengaging itfelf by degrees, leaving the cafe or exuviae behind, in the exaCt fhape, in which it was before occupied. At firft coming out, the Cicadae are all white, with red eyes, and feem weak, and tender; but next day they attain to their full flrength and per- fection, being of a dark brown colour,- with four finely- veined tranfparent wings, as will be better feen, than defcribed, by the fpecimens before you. [Tab. VIII.] Vol. LIV. K They C 66 3 They come forth out of the ground in the night > being then fecure from being difturbed by fo many creatures, that prey on them, whilft they are under the operation of exchanging one {late for another. From the tenth of May to the fif- teenth, they are obferved to be fpread all over the country. As foon as the dew is exhaled, the Cicadae are very active, flying about from tree to tree. The male makes a finging noife, calling the female, which he effects by a tremulous motion he gives to two bladders, filled with air, under his wings. From their numbers the noife is fo loud and troublefome, that it interrupts converfation with a continual dinn, from morning to evening. They continue coupling to the fixteenth of May: foon after the males difap- pear, and the females lay their eggs. They are much larger than the males. They never could be perceived eating any thing ; yet, as they are furnifhed with a long probofcis, which they frequently extend, they may fuck the dews, or the farina of flowers. The male, in coupling, hath, at the end of his tail, two hooks, with which he enters between the rings, that furround the body of the female. Thcfe, fpreading internally, confine them long together; which may be requifite, as there is a great number of eggs to impregnate, fome fay fix or l'even hundred. Soon after this work- is over, the female begins laying her eggs. To afiift her in this operation, the is armed with a dart near half an inch long, fixed be- tween her breafl and belly, and which extends to the end of [ 6? ] of her tail. This die dieaths up, when it is not in ufe: with this dart (he pierces the lmall twigs of trees, and, a; the fame time, injedts an egg. The darted twiggs, that lie before you, will better fhew the manner, than I can defcribe it. It is furprihng to lee how quick they penetrate into hard wood, and croud it full of eggs, the length of two or three inches, ranged in a line clofe together, from twelve to eighteen in each partition. How Ihe depolites the eggs in this diredtion, it was difficult to difcover, they are fo very ffiy whild about this work: but my ingenious friend John Bartram, obferving her, in the beginning of this operation, took a drong woody dalk of a plant, and, prefenting it to her, Ihe diredtly fell to work upon it, as he held it in his hand. It was very wonderful to fee how dex- treoully die worked her dart into the lfalk, at every pundture dropping an egg. This was feen very didindtly, as Ihe did not touch the dalk with any other part of her body. The Cicadas fix on mod fort of trees, but like bed the oak and chefnut, which are the twigs before you, and the faffafras, and all orchard trees. They always dart to the pith of the branch, that, when the egg hatcheth, the little infedt may find foft food in its infant date. When mature, they creep forth, go down the tree, or drop off, and foon make their way into the ground, where they have been found two feet deep. Here they find a fecure repole, untill they have paffed through their changes, from a magot to an hexapode, and ladly to a fly. July 15th and 1 6th they were perceived coming forth : feveral darted twigs were perceived, and care- K 2 fully 9 [ 68 ] fully examined, and opened: fome eggs were hatched, others not mature, of a dull brown colour. Thefe were taken out, and fpread on a table ; in about an hour the eggs cracked. It was very entertaining to obferve, how the little infed contrived to difengage itfelf, from the fliell. When it was got clear from its incumbrances, it run about, very brifkly, feeking a repofitory in the earth. Some General Remarks. Thefe Cicadas are fpread all over the country in a few days; but, being the prey of fo many animals, their numbers foon decreafe, and, their duration by the order of nature being fhort, quickly difap- pear. They are the food of mod kind of domedic and wild fowl, and many beads : even the fquirils grow fat with feeding on them. And one of the repads of the Indians, after hav- ing fird plucked off their wings, is to boil and eat them. There are two didind fpecies of Cicadas in North America ; the one here defcribed being much larger than the other. The leffer fpecies has a black body, with golden eyes, and remarkable yellow veined wings. XI. An 1 69 ] XL An * Account of the Plague at Con- ftantinople: In a Letter from Mordach Mackenzie, M. D. to Sir James Porter, Bruflels, and F. R, S. S I R, Read Feb. 23, o many great men have written upon !764- the piagUe already, as Profper Al- pinus, Sydenham, Hodges, Diemerbroeck, Mura- tori, Mead, &c. that it might be juftly thought prefumptuous in me to touch upon that fub- jedt after them. But as I find, that they differ in fome circumflances, and that fome of them have had an opportunity of feeing only one year’s plague; I may be allowed to write to you fuch remarks, as I have made for almoft thirty years, that I have lived in this plaguy country, without any quotations or confirmations from other authors ; which I hope will help to reconcile the different opinions of the above- mentioned famous authors. Which talk Iwouldchoofe rather, than to contradict them; for I am perfuaded; that each of them wrote according to the belt of his knowledge (as I do myfelf) without any intention of impofing in the lead upon mankind. It is beyond difpute, that the plague appears in a different manner in different countries; and that it appears differently in the fame country in different years : for we find moft other difeafes alter more or His Envoy Plenipotentiary at left [ 7° ] lefs, according to the conditution and difpofition of the air in the fame climate: for, feme years, fevers are epidemic, and very mortal : other years, they are epidemic, but not mortal ; the imall pox the fame ; See. And fo the plague is fome years more violent, and has fome fymptoms different from what it has in other years; which, I take for granted, mnft be the reafon of any difference, that may appear in the remarks of the celebrated authors already mentioned. There is one extraordinary fymptom, which the mod of thefe authors mention, tho’ none of them prove it, or pre- tend to have leen it; which feems to me inconfident and incompatible with the animal ceconomy ; making ftill proper allowance for Omnipotence and Divine Ven- geance, as in that of Sennacherib’s numerous army, and many other fuch plagues, mentioned in Scripture. What I mean, is, that a perfon cannot die of the plague (fuch as it appears among us) indantaneoufly, or in a few hours, or even the fame day, that he re- ceives the infedtion. For, you know, Sir, by your long experience in this country, that all fuch, as have the plague, conceal it as long as they can, and walk about as long as poffible. And I prefume it muff be the fame in all countries, for the fame reafon, which is the fear of being abandoned and left alone; and fo, when they druggie for many days againd it, and at lad tumble down in the dreet, and die fuddenly, peo- ple imagine, that they were then only infedted, and that they died indantly of the infedtion ; tho’ it may be fuppofed, according to the rules of the animal ceconomy, that the noxious effluvia mud have been for fome time mixed with the blood, before they £Ould produce a fever, and afterwards that corruption [ 71 ] and putrefaction in the blood and other fluids, as at laft flops their circulation, and the patients die. This was the cafe of the Greek, who fpoke with your mafter of horfe, Knightkin, at the window, anno 1752, and went and died in an hour afterwards in the vineyards of Buiuk dere ; and it was faid he died fuddenly, tho’ it was very well known to many, that he had the plague upon him for many days before this accident happened. Mrs. Chapouis found herfelf indifpofed for many days, anno 1758, and complained pretty much, be- fore fhe was fufpeCted to have the plauge. Captain Hills’ failor was infedted in Candia 1736 ; was a fortnight in his paflage to Smyrna, as the captain fwore to me ; yet he was five days in the hofpital there before he died. Mr. Life’s gardiner was in- difpofed twelve days before he took to his bed, and he lay in bed eight days before he died, in July 1745. It is true, that Thucydides, in his account of the plague at Athens, relates, that fome were faid to die fuddenly of it ; which .may have led others into the fame way of thinking: but Thucydides (with all due regard to him) mufl be allowed to have known very little of the animal ceconomy, for he was no phy- fician, tho’ a very famous hiftorian ; and he owns moreover, that, when the plague firft attacked the Pireeum, they were fo much flrangers to it at Athens, that they imagined the Lacedemonians, who then befieged them, had poifoned their wells, and that fuch was the caufe of their death. Befides, he pre- tends to affirm, from the little experience he had of: the plague, that the fame perfon cannot have it twice, which *■; [ 72 ] which is abfolutely falfe. The Greek Padre, who took care of the Greek- hofpital at Smyrna for fifty years, affined me, that he had had the plague twelve different times in that interval; and it is very certain, that he died of it in 1736. Monfieur Broffard had it in the year 1745, when he returned from France; and it is very well known, that he and all his family died of it in April 1762. The Abbe, who takes care of the Frank- hofpital at Pera, fworetometheother day, that he has had it already, here and at Smyrna, four different times. But, what is flill more extraordinary, is, that a young woman, who had it in September lad:, with it’s mod: pathognomonic fymptoms, as bu- boes and carbuncles, after a fever, had it again on the 11th of April, and died of it fome days ago, while there is not the lead: furmife of any accident in or about Condantinople dnce December, this only one excepted : but there died four perfons in the fame little houfe in September ; and as the houfe was never well cleaned, and this young woman always lived in it, fhe was at lad: attacked a fecond time, and died. The only antecedents, that I could obferve to this malady, was a great murrain among the black cattle in May 1745, and in the beginning of June, the fame year, fwarms of butterdies dew about, and there were great numbers of caterpillars creeping every where, and afterwards a violent plague : and, after obferving the fame anno 1752 and 1758, you may recoiled:, that I foretold to you, Sir, that we fhould have a hot plague in thofe years ; which accordingly hap- pened, efpecially in the months of Augufl and Sep- tember 17 ;8, when many of Marfellini’s family, Spathari, 5 C 73 ] Spathari, Skwackhim’s cook, Chariacci Rirnbeault, Jackino’s fon, 6tc. died of it. The plague is now more frequent in the Levant, than it was, when I came firft into this country, about 30 years ago; for then, they were almoft Grangers to it in Aleppo and in Tripoli of Syria, and they had it but feldom at Smyrna; whereas now they have it frequently at Aleppo, and fummer and winter in Smyrna, tho’ never fo violently in the winter ; which muft be owing to the great communication by com- merce over all the Levant, and more extended into the country villages than it ufed to be. I take the plague to be an infection communicated by contact from one body to another ; that is, to a found body from an infedted one, whofe poifonous effluvia, fubtile miafmata, and volatile fteams, enter the cuta- neous fores of found perfons within their reach, or mix with the air, which they draw in refpiration, and fo advancing by the vafa inhalantia, mix with the blood and animal fluids, in which, by their noxi- ous and adtive qualities, they increafe their motion and velocity, and in fome days produce a fever ; fo that the nearer and the more frequent the contadt is, the greater is the danger, as the noxious particles, ex- haling from the infedted perfon, muft be more nu- merous, and confequently have greater force and ac- tivity in proportion to their diftance. Some perfons are of opinion, that the air muft be infedted, and that it is the principal caufe of thefe plagues ; whereas I prefume, that the ambient air is not otherwife concerned, than as the vehicle, which conveys the venemous particles from one bodyintoano- ther, at leaft in fuch plagues, as I have feen hitherto Vol. LIV. L at C 74 ] at Smyrna and Conflantinople ; allowing always, that the different conflitution of the air contributes very much to propagate the plague : for the hot air di- lates and renders more volatile and adtive the venem- ous fleams, whereas cold air contradls and mortifies them. The perfon having the plague may be (aid to have a contagious and poifonous air in his room and about him, while at the fame time the open air is free from any dangerous exhalations ; fo that I never was afraid to go into any large houfe, wherein a plaguy perfon lived, provided that he was confined to one room. The peffilential fever fhews itfelf firfl, by a chilli- nefs and fhiverings even in the months of July and Auguft, fo very like the firfl approaches of an ague, that it is impoffible to diflinguifh the one from the other at firfl fight. This cold fit is foon accompanied with a loathing naufea and defire of vomiting, which obliges the patient at lafl to difcharge a vafl quantity of bilious matter, with great uneafinefs and oppreffion in the thorax and mouth of the flomach, attended Sometimes with a dry cough, as in an intermitting fever; and even in this flage it is very difficult to dif- tinguiffi the one from the other. Next, the patient has a violent head-ach and giddinefs, with fome flight convulfive motions : he breathes hard ; his breath and fweat flink ; his eyes are ruddy, he looks frighted, fad, and pale ; he has an infatiable thirfl; his tongue is yellowiffi, with a red border; he has a total lofs of appetite, reflleffnefs, great inward heat, and more than could be expedted from the fever, which is fometimes pretty moderate, but grows flronger fre- quently towards night : the patient very often bleeds 4 at [ 75 ] at the nofe. He continues in that difmal condition for fome days, untill the venemous matter begins to be feparated in fome meafure from the blood, and dis- charge itfelf critically upon the furface by the cu- taneous eruptions of buboes, carbuncles, blains, pe- techial fpots, and fome fmall veficles or blifters : but all thefe fymptoms are not to be looked for in the fame perfon. When the cutaneous eruptions appear and grow fenfibly, the patient finds himfelf better, and fomewhat relieved from the great op- prefiion he laboured under before. Some perfons in the above date have a very violent fever, fometimes attended with a delirium andphrenzy ; others are ftu- pid, fleepy, and complain of nothing : as one of Captain Hill’s men mentioned before; and the young fellow, who died of the plague laft year, which he had in our palace ; for I no fooner found, that he had a fever, and was at the fame time fo very ftupid and fenfelefs, but I concluded he had the plague, tho’ it was ffrenuoufly maintained by the fervants, that he had not been out of the kitchen for a month ; but, upon flridt examination, it was found, that he had many plaguy fymptoms, as buboes, carbuncles, &c. upon his body, and that he had been in an infe&ed houfe near the palace, about 1 2 days before ; where- in no doubt he received the infection. Such as are furious and delirious, feldom live fo long, as they who are fleepy and ftupid ; but if they live long enough to have the cutaneous eruptions pufh plentifully, and their phrenzy begins to abate afterwards, they may recover more probably than fuch as are fleepy and have a moderate fever ; tho’ I have known fome of them likewife die ; asDelaria, the French druggerman, L 2 who [ 76 ] who went on horfe-back on Friday to Giamdere, looking upon himfelf paft danger, but^ died next Saturday morning. Marfellini’s eldeft fon, 1758, thought himfelf fo very well after the eruptions of the buboes, that he went from town, and dined at Thcrapea, and returned to town the fame evening and died, after he had been delirious for fome days before, and had had the plaguy fever from the time he left Buiukdere about ten days before. I make no doubt, Sir, but you are very fenfible, that nothing in this country, either air or diet, produces the plague, tho' both contribute very much to it’s progrefs and violence, after it is brought here or to any part of this country from any other infeded place ; for you know, by long experience, that it rages moft in the hot months ot July, Auguft, and September, when the diet of moft of the poor in- habitants (who are the greateft fufferers by the plague) confifts of unripe fruits, cucumbers, melons, gourds, grapes, &c. The plague breaks out here and at Smyrna fomeyears, when it is not poffible to trace whence it is conveyed ; for fome houfes, which were infeded, and not well cleaned after the infeded perfon is removed, lodge fome of the venemous moleculae in wool, cotton, hair, leather or (kins, &c. all winter long ; which, put in motion by the heat in April or May, breathe out of their nidus/ where they refided, and recover fo much life and adion, as to enter into the cutaneous pores of any perfon, who comes within their reach, and fo infed him ; as it happened at the French pa- lace, at Mr. Hubfch’s and at Caraja’s houfe, for two or three years running. But plagues of this kind feldom [ 77 ] feldom fpread, and are never fo fatal, as fuch as come from abroad. Many are of opinion, that the heat kills the plague, as they term it, which is owing to a fooiifh luper- dition among the Greeks, who pretend, that it muft. ceafe the 24th of June, being St. John’s day, tho’ they may obferve the contrary happen every year; and the dronged plague, that was at Smyrna in my time, anno 1736, was hotted about that time, and con- tinued with great violence till the latter end of Sep- tember, when it began to abate ; but was not entirely over till the 12th of November, wdaen Te Deum was fung in the Capuchins convent. This midaken notion may be in fome meafure owing to a wrong fenfe put upon Profper Alpinus, who allows that the plague at Cairo begins to ceafe in the months of June and July, when the drong Northerly winds (called Embats or Etelian winds) begin to blow, which make the country much cooler than in the months of May, April, and March, when the plague rages mod ; which he very judly imputes to the great fuffbeating heats and Southerly winds, which reign during thofe months in that country : and it is then, that the fhips, which load rice, flax, and other goods and merchandife for Condantinople re- ceive the infection, and carry it with them hither ; and, upon thefe goods being delivered to perfons in different parts of the city, the plague breaks out at once with great violence among the trading people of the Greeks, Armenians, and Jews; fori haveob- ferved, both here and at Smyrna, that the Turks are commonly the lad of the four nations, who areinfedted ; but when the plague gets once among them, they fuf- [ 78 ] fer moft by it, becaufe they take the leaft care and precaution, and their families are much more nu- merous. The plague, as well as all other epidemical difeafes, has it’s rife, progrefs, ftate, and declenfion, when it begins to lofe it’s virulence, and many of the fick recover. Some years it is felt fporadically all the win- ter; and we hear fome accidents in the Phanar, among the Greeks, among the Jews, Turks, and Armenians; and even among the Franks; for you may remember, that Pera was not clean all the win- ter 1762. Some years it lodges in the villages upon the Bofphorus ; but during the winter it is never of any great confequence. As to the cure of this difeafe, fome are for bleeding plentifully, as Leonardus Botallus and Dodfor Do- ver, &c. But in this country, it is reckoned infal- lible death to open a vein, and therefore bleeding is never ufed ; But I am of opinion that a medium between thefe two extremes might prove more to the purpofe; for, as it is an inflammatory difeafe, bleeding and emetics might be of ufe in the beginning, as foon as the patient is taken with the fever, efpecially if the fever is very hot and attended with a delirium or any violent head-ach; but after there begins a fepa- ration of the morbific matter, which the ftrength of nature, and the agitation of the fever, drive upon the furface of the body in buboes or carbuncles, bleeding or purging mud prove very prejudicial ; but gentle vomits might be of fervice even then, as they might drive out thofe cutaneous eruptions more pow- erfully than nature could do it without any help. The vomits likewife might prevent the return of the morbific [ 79 3 morbific matter into the blood, which frequently happens, and the buboes, &c. difappear, and the pa- tient infallibly dies in a very fhort time. As the pef- tilential fever has many remiffions, I am of opinion, that the ufe of the bark in the remiffions might be of great fervice; as it proved anno 1752, when the French ambaftador’s fervant was faved at Buiukdere, by means of fome bark and ipecacuana, which I fent with directions to Padre Jofeppej and he was the only perfon, that recovered of all the gang, who were then taken ill in our village. The pradtice in the hofpital is after this manner: when any perfon is fufpeCted, they give him a large dofe of brandy with a dram of Venice treacle j and afterwards they cover him very well that he may fweat: for the firft three days, he eats nothing but vermicelli boil’d in water, with a little lemon juice. On the fourth day they give him rice and water ; which diet they obferve ftriCtly till the 15th or 20th day, when they begin to allow him very thin chicken broth, commonly called brodo longo, and they give him from firft to laft nothing but warm water to drink. They apply firft to the buboes and parotides a cataplafm of mallows and hog’s lard, to advance maturation j and, after they are ripe and open, they drefs them with bafilicon ointment. They apply caimack and fugar to the carbuncles for fome days to cool them ; and when they begin to feparate, they apply a digeftive of Chio turpentine with the yolk of an egg. They apply nothing to the blains and petechial Ipots, which appear and dif- appear again upon any part of the body every three or four days. All [ 8° ] All this time they give the fick no medicines, be- Tides Venice treacle for the poor, and Tome doles of hezoar for fuch as can afford to pay for it; and they never can be perfuaded to change their method ; for when you gave them Dodlor James’s powder, they never tried what effe C (ferico) vel r» A (panniculo laneo) adfricatur. Eft igitur fixus quidam ordo, quern corpora Temper fequuntur, quamdiu circumftantiae manent eaedem. Sint A, B, C, D, E, corpora ; quorum quodlibet, cum anteceden- tibus, fit negativum, cum fequentibus vero, pofitivum. Jam, quo minor inter confricata diftantia, eo debilior, ceteris paribus, eledtricitas. Ideoque inter A et E fortior, quam inter A et B : fi nimirum cetera paria. Hinc, inter corpora ejufdem generis, difficulter ulla, producitur vis ; quae, e contrario, cum diftantia, crefcit. Calor, uti probavi, ftatui negativo corpora adaptat; led, fi diftantia memorata paullo major, earn quidem fuperare non valet ; quod ex Iigamentis nigris patet ; interim tamen vim debilitat. Si globus eledfrificato- rius incalefcit, experientia quotidiana edodti, novimus, vim eledtricam debilitari. Nonne inde, quod calore magis adaptetur ftatui negativo, unde diftantia fricans inter et fricatum minuitur ? Sed de hifce, alia vice, plura ; dum fimul caloris effedtus in alia corpora ex- ponere liceat. De C 87 ] De exiftentia binarum eledricitatum, memet, multa variaqueluculentiflimaexperimenta plene convicerunt, fed quid de natura eledricitatis, fic didae, negativa, fit ftatuendum, adhuc dubius haereo. Apices pofitivi Jlant, et negativi quoque ; quod ad oculum monftrari poteft ; phofphoro illito, 11am vapores alias vage e cor- pore non eledcrifato furgentes, infiar caudas cometa?, tam pofitivi quam negativi, ad magnam diftantiam ejedant. Difficulter cum privatione, rarefadione et adfluxu fluidi eledrici conciliari poflunt phenomena allata. Quce tua fit mens, ut mihi proxirne explices, oro. Quae in noviffima epiftola de metallorum eledrici- tate fcripfij de confricatione, iifdem Temper (quantum poffibile) fada circumftantiis, intelligenda funt: 11am licet, initio, diu Tola fridionis variatione, diverfam, elec- tricitatem procreare non poftem, tandem vero, ad tuum prafcriptum, felicius operationem adgrefiiis fum. Inftrumentum novum nuper invenit dominus Wilcke, quo, in campo, abfque linea meridiana, acus magneticae declinatio facile inveniri potefi. Obferva- tionibus, hocce, Stockholmias fadis, aeftate prater! apfa, acus 11 gr. 50 min. occidentem verfus, declinare re- periebatur. Hoc quoque utili invento, linea meridi- ana, abfque negotio, ducitur. Domini Mountine et Dodfon, mappam, declinati- ones magneticas, pro anno 1756 (fi probe memine- rim) monftraturam : polliciti funt, fed, num talis in lucem prodierit, adhuc ignoro. Epiftola, ad R. Societatem Upfalenfem fcripta, du- dum leda eft. Hocce autumno, varii globi ignei vifi funt, me- teoro igneo, in parte prima voluminis LI. Tranfadi- 011 um 3 [ 88 ] onum defcripto, valde fimiles. Fulmina quoque, seftate praeterita, in meridionalibus praecipue regni par- tibus, graftata funt. Ullulne, in Anglia, fulminis idtus, virgis ferreis erecftis, avertere conatus eft ? et quo fuc- ceflu ? In Penfylvania tentari mihi narratum eft. Certe ft prudenter inftituatur, nulla hinc mala metu- enda video. Omnigenam tibi optans felicitatem profperitatem- que, me tuo favori folitaeque amicitias commendo, et fummo, quo par eft, animi adfedtu, permaneo, Ampliflimi atque celeberrimi Nominis tui Dabam Upi'alae, d. 18 Oct. 1763. Cultor obfervantiftimus Torbern Bergman. XIV. An 0 J T/u/flS. J'mns. Vot.ZIV: T,ln. JX.fi. 8g [ «9 ] XIV. An Account of a Fifr from Batavia, called Jaculator : In a Letter to Mr, Peter Collinfon, F. R, S. from John Al- bert Schloffer, M. D. F. R. fr Dear Sir, Amfterdam, 22d Feb. 1763. Read March 1 TT A V I N G lately received from £~|. Mr. Hommel, governor of the hofpital at Batavia, many uncommon fifhes, well preserved, amongft them is one as curious for it’s ^iape, as for it's extraordinary manner of obtaining it’s food. It is new to me, and, T believe, hath never been obferved by any writer on natural hiftory. [Vide Tab. X.] I requeft the favour, that you will prefent this rare fiili to the Royal Society, as a fmall, but fincere proof of the gratitude and efteem, which I really have for that refpedable, learned body. Governor Hommel gives the following account of the Jaculator or (hooting fifh, a name alluding to it’s nature. It frequents the (bores and (ides of the fea and rivers, in fearch of food. When it fpies a fly fitting on the plants, that grow in (hallow water, it fwims on to the diftance of four, five, or fix feet, and then, with a furprizing dexterity, itejeds out of it s tubular-mouth a Angle drop of water, which ne- ver fails (biking the fly into the fea, where it foon becomes it’s prey. Vol. LIV. N The [ 9° ] The relation of this uncommon a&ion of this cunning fifh railed the governor’s curiofity ; though it came well attefted, yet he was determined, if pof- iible, to be convinced of the truth, by ocular de- monftration. For that purpofe, he ordered a large wide tun to be filled with fea- water ; then had fome of thefe fifh caught, and put into it, which was changed every other day. In a while, they feemed reconciled to their confinement j then he determined to try the ex- periment. A ilender flick, with a fly pinned on at it’s end, was placed in fuch a direction, on the fide of the veflel, as the fifh could ft r ike it. It was with inexpreflible delight, that he daily faw thefe fifh exercifing their (kill in (hooting at the fly, with an amazing velocity, anrl never miflfed the mark. In looking over that noble work of the Mufeuin of the king of Sweden, printed anno 1754, 1 met with this Jaculator, well engraven, and defcribed, by the learned Baron Linnaeus, under the title of Chaetodon, pag. 61, plate 33. Baron Linnaeus’s Defcription. Acanthopterygii-chaetodon. Chaetodon roftratum, pinna dorfali poftice macula fufca. Corpus ovatum, compreflum ; fafcia grifea perpen- diculars fecat caput per oculos. Fafcia grifea perpen- diculars ab initio pinnae dorfalis defcendit ante pec- torales ad ventrales. Fafcia grifea perpendicularis in -2 medio C 91 ] medio pifce. Fafcia fufca faturatior cingit caudam ante radios. Macula fufca orbicularis in medio pili- ng dorfalis ubi mutica. Caput roftro elongato, fere ut in fyngnathis, dentes in maxillis minimi. Narium foramina utrinque 2 ante oculos, membranae branchioftegae officula 5. Opercula branchiarum fquamis tedta, ut in reliquis congeneribus. Pinnae dorfi et ani aequales, valde tranfverfce, et lateribus fquamis te&ae. Dorfalis radiis 9-3 1 primoribus mucronatis, pofterioribus 3 1 molli- bus, longioribus. Pedtorales radiis 14. Ventrales radiis 6 mollibus, excepto primo fpinofo j eorum fecundus reliquis longior. Ani radiis 3-20 pofterio- ribus 20 longioribus, mollibus ; primis 3 fpinofis, caudae radiis 1 4, aequalibus 5 parva Accedit proxime ad labrum roftro reflexo fafciis lateralibus tribus fuicis. Amoen. Acad. 1, p. 313. XIV. An Account of the Polifi Cochineal : In a Letter to Mr . Henry Baker, F. R . S. from Dr, Wolfe, of Warfaw. Warfaw, April 4, 1763.^ Read March 29, O C C I Polonici funt ova, vel 1 7^4* potius pupae infedli nondum fatis cogniti, quae ad radices variarum plantarum adhaerent, et verfus finem Julii ab evullis radicibus ope cultri abraduntur et colliguntur. Plants ills funt valde va- ris, nec quotannis in una eademque fpecie reperiun- tur c 92 1 tur cocci illi, fed pro lubitu vagnntur, hoc anno in hac, fequenti in alia planta. Ccmmuniter creditum, non inveniri nifi in fclerantho perenni calycibus fruc- tus claufts, Linnaei, quod polygonum minus Bauh. fo- lio et flore albicante, feminibus nudis oblongis. Haec planta amat loca fabulofa j fed nimis eft rara, ut no- tabiiis cocci quantitas inde colligi poflit. Uberior longe proventus eft ejus in 'pratis pinguibus Podoliae et Ucrainiae : ibique invenitur fupra omne genus fra- gariae et potentillae ; faepe etiam ad radices fecalis, alia— rumque plantarum, de quibus tamen nihil certicom- pertum habeo. Maxima copia colledum vidi ex potentilla alba Linnaei, fol. digitat. 5 natis, apice con- niventi ferratis, caulibus filiformibus procumbentibus, receptaculis hirfutis : hanc nimirum indicare mihi vi- detur; ceterum exfragraria flnreslho, foliis lanceolatis,. medio maximo, fubtus villofis, fupra viridibus cum tenui margine argenteo, caulibus debilibus hirfutis. Deinde ex pentaphyllo officinali, feu potentilla reptante Lin- naei, fol. quinatis, caule repente, pedunculis unifloris. Poftea etiam ex potentilla caulefcente Linnaei fol. qui- natis apice conniventi ferratis, caulibus multifloris credis receptaculis hirfutis ; de quibus fpecimina mitto. Poftquam copia horum cocculorum colleda eft, immittuntur in ollam, et fupra ignem torrentur quoufque vermes enecati arbitrantur. In Augufto, infedum, ovum fuum relinquit, et in planta tarde decurrit. Eft infedum feminis cannubis magnitu- dine, totum molle, infra planum, fupra ellipticum, feu ovatum, rugis tranfverlis femicircularibus decern circiter a capite ad anum, quae rugae in infcriori ab- dominis parte in marginem quafi vel fimbriam coeunt, fecundum circumferentiam abdominis infcriorem. Caput C 93 ] Caput parvulum ; thorax fupra vix confpicuus. Co- lor totius animalis obfcure purpureo-brunnus. Totum corpus pilis tenuibus, argenteis longis (refpeftu infedi) un clique tomentofum, ut videatur pulverulentum, vei farina alba confperfum. Pedes fex valde breves, mi- nuti, nigrore fplendentes, inftrudti unguibus acutis duobus. Antennae duae filiformes perbreves nigerri- mse : roftrum reflex-urn perbreve. An abdomen pone fetofum? ut dicit Linnaeus. Saltern pili ibi videntur paulo crafilores et longiores, fed fimiles reliquis. An volatilia fiant, expifcare nondum potui, nec fexum qui- dem internofcere potui.. Sed dabitur, Deo dante,. opportunior occafio, in haec inquirendi. Transfor- mationes difficulter obfervantur, cum infedum deli- catulum a quavis injuria facile vita privetur, et illo tempore intra fifturas radicum abfcondat fe. Optimam figuram huj'us infcfti nuperdedit Ledermiiller Norim- bergenfis in obfervationibus microfcopieis. Color inde Janas, goftipio, lino, conciliatur dilute carmefinus. Modus tingendi talis eft. Coquunt coccum in aheno cupreo, cum liquore, quern kwas (acidum) dicunt, etquiin Podolia, Rufiia, et Ucrainia, pauperibus pro potu ordinario infervit. Parant vero hunc potu.m kwas ex farina fecalina, quam infun- dunt aqua .multa calida, et in loco tepido relinquunt,. donee fermentaticne acefcat, et limpida fiat. Quantum quotidie de hoc liquore ebibunt, tantum addunt no- vae aquae cum manipulo farinas. Breviori tempore idem fit, fi fermentum acidum panis lecalini piftorum- cum multa aqua diluatur, et in locum tepidum repo- natur. Jam in hoc liquore coccum diu coquunt. Enalcitur fpuma et pinguedo valde multa, inftar febi alba, quam foliicite femper auferunt, ufque dum talis jam nihil appareat. Erit liquor pulcre fangui-- neuso C 94 3 neus. Jam, lanam puram albam in alio aheno cum firnili liquore kwast et mediocri aluminis quantitate decoquunt, et falibus his bene imbutam exficcant. Tandem lanam ita prasparatam, in liquorem ilium fanguineum immittunt, et per aliquot minuta co- quunt : fic in momento omnis color lanas adhaeret, et liquorem inftar aquas limpidum relinquit. Lanam lie tindam aqua frigida abluunt et exficcant. Rudis haec tradatio docet, quantum ille color emendari pofiet, fi in vafe ftanneo, cum lale ammo- niaco et folutione ftanni tradaretur. Narrarunt mihi colledores, fi animalcula viva colligantur et enecen- tur, colorem inde obtineri multo elegantiorem ; cui facile crediderim, fi praefertim eadem follicitudine colligerentur, ac fit cum cocco Mexicano (cui de cetero noftrum infedum valde fimile videtur), et loco tofiionis, in aceto enecarentur. Multum Chocimi inquifivi in id, quo Turci purpureo colore lanam in- ficiunt : fed tindura ilia non nifi in Afia minori ex- ercetur. Omnes tamen dicunt, tinduram hanc ob- tineri ex baccis, quas ad radicem plantae Armeniacae, quatn Romam appellunt, crefcunt. Forte hasc planta eadem cum potentilla alba, et forte etiam pulchritudo coloris non nifi ab artificio tindoris pendet. Quantitas cocci hujus ad exteros exportati, ex Po- dolia, facile aliquot millia librarum quotannis excedit, et praeterea multum domi confumitur. Maxima pars in Turciam abvehitur, magna etiam Breflaviam venit. Conftat libra una 8-10 florenis Polonicis, (five 4-5 Shillings) et una libra fere 20 librae lanae tingi poflunt. Further C 95 ] Further Account of the Polifh Cochineal : In a Letter from Dr. Wolfe to Mr. Henry Baker, F.R.S. Read April 12, ¥ AST fummer I amufed myfelf with i764- 1-^ the Polifli cochineal. It is unknown and negleded in this country. The feveral kinds of Potentillas are here very rare, and it was only upon the polygonum minus, or fcleranthus perennis Lin- naei, that I found the cochinille. I gathered about 300 of the coccufles, and put them with the plants and fome fand in large pots. They are of different fizes. The infeds creep out of their coccufles from the beginning of June till the middle of Auguft: about fifty got out under my eyes. They are all ex- actly of the fame fhape : but fome are three times fmaller than others, according to their coccufles. ‘j^be coccus is a thin round white fkin. The infeds are all hairy more or lefs; fome are of a darker colour, fome more crimfon; fome feem fomewhat longer,, others broader. But thefe differences feem to depend on their voluntary extenfion, and on their age, becaufe they grow from day to day darker and more hairy.. No mouth is to be feen, but a deep plait or furrow at the upper part of the breafl. Two extremely fmall dark points feem to be the eyes. The two horns are thick, twilled like a ferew, of the length of the breafl ; they end in an obtufe point. The two fore legs are twice the fize of the four hinder legs, they have all fharp black incurved claws. The fhape of the wrinkles and furrows may be feen in the drawing. It is impoflible to find marks of the fex ; and though. they join fometimes their anufles, yet they do it fo * J loofely3. C 96 ] loofely, that it cannot be accounted for a copulation. They feem to eat nothing at all. They creep about the plant a week or two, going often underground, and getting up again. Then they make themfelves a deep cylindrical hole in the fand down to the hard bottom of the pot, the end of which they cover with a fine white filk growing upon their bodies. There they lay their eggs and die. Others, who are diffurbed in their work, grow weary and white, as if they were powdered all over with a white meal, which through a glafs appears to be very fine white filky hairs, coming out over all the body. At laft they lay them down upon their backs : the filky hairs grow very faff, to the length of one inch and a half, and the infed twills with its claws the hairs all round its body, fo as to referable a fmall heap of cotton ; but the hairs are fo tender, that a fmall wind will tear and deflroy it. In this heap of cotton they lay their eggs, from fifty to an hundred, and then they die. Thus they remain till the middle of July. Afterwards, though they make their holes, or their cotton heaps, yet they die without laying eggs. The eggs are crim- fon, tranfparent, fcarce vifiblc, long, and round- pointed at both ends. In a week’s time the young infeds creep out: they are like their parents, but fmooth, tranfparent, and crimfon. I prefented them every day frefh roots of the polygonum, but I cannot fay they have eat any of them. In a week or two they difappear, going under ground. I prefcrve all thefe things. The infeds feem now all dead, and fo do the young ones, buried up in fand : but I hope next fpring to fee them alive, and to profecute their farther change. I have killed about one hundred of the [ 97 ] the infers in hot vinegar, as it is done in Mexico; and now I fhall attempt to dye fome woolly threads in the common way of the fcarlet dyers. In the mi- crofcopical obfervations of Ledermuller at Nurem- berg* you will find tolerable drawings belonging td this matter. In the beginning of Augurt, 1 found an extremely fmall white fly, fomewhat like to what is fuppofed to be the male infedl. It is a third part of the fize of what is reprefented by Ledermuller. It has a body like a gnat, fnow- white, powdered below* but gray Ihining upon its back, fix tender fnow-white legs without claws, a thick bulky head, two very fmall prominent eyes, two hair-like horns, two wings, large enough in comparifon to the body, fnow-white below, and fhining gray above. The belly to the tail is taper, and at the tail are three white hairs, very tender, and four or five times the length of the whole fly. But as this was the Angle one amongfl: three hundred, and totally unlike in every part to the other infedts, I doubt very much of its being of this genus. I hope next fummer will teach me more ; and, if I fhould be happy enough to bring the matter to any clearnefs, I fhall put my obfervations into fome order, and fend them over with proper drawings belonging to it. But as there is no doubt but this infedt will be found as well in England as in Poland, I thought it proper to give you the account of my obfervations as far as they go. Perhaps fomebody of yours will think it worth their while to look the next month of June at the potentilla, fragaria, and polygonum minus roots, and will very likely find thefe fame things. Tab. X. N°. i. The cochineal infedl of its natural fize. 2. The fame magnified. 3. The cotton. 4. Vo l. LIV. O The [9M The cotton with the animal in the middle, and its ecgs of the natural fize. 5. An egg by the firft magni- fier. 6. Two coccufes greatly magnified. 7. The infedt greatly magnified. I fend you alfo fome of the infe&s killed in vinegar and dryed. The cotton, and the fuppofed male in fed. Some young infers. Some dead infers buried up in their cotton, fome of which layed eggs, others not, fome void coccus (hells, fome young ones, fome eggs, etc. and alfo the polygonum minus. P. S. The 1 2th of Odtober, at 8 o’clock in the evening, we had here a ftrong aurora borealis. It lafted but a quarter of an hour. The fhooting rays were white, and went all round from the horizon, making up at leaft three quarters of the circle of the horizon, the middle being juft in the north. The rays pointed all towards one point of the heaven, which point was not the zenith, but at lead: 20 de- grees farther diredtly again!! the South. It was a fair day. No wind or rain followed it j but the air vyas calm before and after. » W arfaw, Nov. 23, 1763. XVI. A Thilos. Trans. Yol. XIV. TAB JL.jj.qg. Tunic and Phoenician Coin#. ^blloJ- Tranf VoLjjv iab. xi hp.y(j. JPenes Joannem Swinton , S.T.B . Oxomenf. E..S.S . JPcmj Joannem S'wmtoii.S.T.R.Oxoinenf. RS,S . %/jH> i/ruiC' /(■ I. [ 99 3 XVI. Obfervations upon two antient Etrufcan Coins , never before illuftrated or explained . i# <3 Letter to the Rev. Thomas Birch, D. D. Secret. R. S. from the Rev. John S win ton, B. D. F. R. S. Member of the Academy degli Apatifti at Florence, and of the Etrufcan Academy of Cortona in Tufcany. Good Sir, Read March 29, / | \ W O fmail Etrufcan coins, or 1?t4* JL weights, came lately into my poffeffion, which I take to have been never hitherto publifhed. Each of them is an uncia, or twelfth part of an as, and in pretty good confervation. The weight, or value, of each piece appears from a fingle globule on the reverfe. As on feveral accounts they leem to merit the attention of the curious, and have not been yet explained ; the Society will indulge me the liberty of imparting to them my fentiments of thefe valuable coins, and fubmitting to their confideration a few curfory remarks upon them here, [Tab. XI.] I. The firfl of thefe medals prefents to our view a diademated head, greatly deformed by the injuries of O 2 ' time0 [ I°0 ] time. The workmanfhip is rude, fuch as vve find k to be in many of the more antient Etrufcan coins. The flip of metal projecting from the round of the weight demonftrates the piece to have been caft, and may therefore be confidered as a certain indication of it’s high antiquity. From the globule and two let- ters, t v, on the reverfe, we may infer this coin to have been a flips uncialis of the Tudertes, or people of Tuder, TOYAEP, as this antient city of Italy feems to have been called by (i) Strabo. It is at prefent known by the name of Todi. It went under the denomination of Tutere (2) amongfl the Etrufcans, and is pointed out to us by the let- ters t v, as here, on (3) feveral of their earlier coins. That this piece is an Etrufcan weight of very con- fiderable antiquity, feems likewife evident from the barbarous and uncouth tafte that appears in every part of it, in conjunction with the manner of writing, from the right hand to the left, viflble on it, which antiently prevailed over all the (4) lucumonies of Etruria. The figure on the reverfe, however rude and inelegant it may be, was perhaps intended to reprefent the prow of a fhip, fo frequently to be met with on this minute fort of coins. For a parti- cular and fatisfaCtory account of the early origin of (1) Strab. Geograph. Lib. x. Sil. Ital. (2) Anton. Francifc. Gor. Muf. Etrufc. p. 162, 427. Flo- rentiae, 1737. (3) Anton. Francifc. Gor. ubi fup. p. 427. Honor. Arigon. Num. Urb. et Popular. Hetrur. Tab. VII, VIII, VIIII, &c. Tarvifii, 1745. (4) Phil. Bonarot. Ad Monument. Etrufc. Oper. Demp/l . dddit, Expiuat. & Conject. § xlii. p. 90. Fiorentice, 1726. fuch [ 101 ] fuch caffc pieces (5) as this, recourfe may be had to the very learned authors referred to here. With regard to the diademated head on this piece, I fliall only beg leave to obl'erve, that a fimilar one occurs on an antient Etrufcan coin publifhed by (6) Arigoni, on a very old medal of Rome now in my poffeffion (7), and undoubtedly on feveral other valua- ble pieces of a very remote antiquity, to be met with in the cabinets of the learned. This fmall Etrufcan uncia weighs precilely three penny weights and one grain. That the weight, or coin, I have been confider- ing was current in Etruria long before the people of that country found themfelves obliged to fubmit to the Roman yoke, will not, I think, admit of a dU fpute; but how many years it preceded that wherein the battle of the Lacus Vadimonis (8^, fo ruinous to the Etrufcans, was fought, for want of fufficient light, both from hiftory and the medal itfelf, X muff not take upon me to decide. Ih The fecond piece exhibits on one fide the head of Hercules, adorned with a lion’s fkin ; behind which a £fh, refembling the turfo, or tyrfo, appears, attended by three Etrufcan letters well enough preferved. On the reverfe a dolphin, or tyrfo, part of an anchor, and another fifh, under the former, prefen, t themfelves (5) Idem ibid. § xxxviii. p. 78. Anton. Francifc. Gor. ubi Tup. p. 421. Una Lettera At Signor Abate Barthelemy di Annibale^ degli Abati Olivieri, p. 27. In Pefaro, 1757. (6) Honor. Arigon. ubi fup. Tab. XIV, XVI„ (7) See Plate Fig. (8j T. Liv. Hijioriar. ab Ur be Conch Lib. lx, to. [ 102 ] to our view. The other part of the anchor and the fifh appertaining to it have been defaced, by the in- juries of time i as we may colled: from a fimilar flips uncialis formerly publifhed by F. Montfaucon, then in the cabinet of the Marfhal d’Eftrees. A fingle globule, or uncial mark, determining the weight, or value, of the piece, is alfo vifible here. The workmanship is fomewhat rude, and different from that of the Romans. The tyrfo feems to allude to the origin and moft antient name of the Etrufcans, who were called Tyrfenians by the Greek writers that flourifhed before Polybius (io). That filh not feldom ( 1 1 ) occurs on the Etrufcan coins. It is thought to have been one of the distinguishing Sym- (9) Montfauc. Supplem. de V Anti quit. Expliqu. Tom. III. Liv. iv. c. 6. PI. 48. p. 106. A Paris, 1724. ( 10) Bach. Chan. Lib. I. c. xxxiii. p. 647, 648. Francofurti ad Moenum, 1 68 r . Phil. Bonarot. Ad Monument. Etrufc. Ex- plicat. iff Conjeft. § xxxvm. p. 80. Florentine, 1726. Anton. Francifc. Gor. Muf. Etrufc. Vol. II. p. 421. Florentine, 1 7 37* (11) Phil. Bonarot. ubi Tup. § xxxviii. Ant. Fran. Gor. ubi fup. p. 421. I have an exceeding fine Etrufcan weight, or brafs medal, of Volterra, adorned with the head of Janus on one fide, done after the Etrufcan manner ; and on the reverfe with a tyrfo, the obelus, or mark of the as, and feven Etrufcan let- ters, forming the word velithera, or velitera, the old Etruf- can name of Volterra, one of the moft antient cities of Tufcany. The piece is in the fmeft confervation, and weighs four ounces, fifteen penny weights, and eighteen grains. It is farther remarkable for a figure of the a, which I never met with, before this weight fell into my hands, upon any of the Etrufcan remains of antiquity. One of the fides of that element here is much fhorter than the other, not unlike the form of the Greek Alpha exhibited by fome of the earlieft Athenian tetradrachms, particularly one in my pofteflion, the moft antient of any that I .have hitherto feen. bols [ *°3 ] bols of the Tyrfenian nation, with which the people of it were very well pleafed. The forms of the letters on this medal are exadtlv the fame with thofe of the correfpondent elements uied in Umbria and the Proper Etruria, and apparently anfwer to the Roman letters fai. They are fuffici- ently clear and diftindt, having differed little from the injuries of time. The word they reprefent, in eonformity to the Etrufcan (12) manner, points out to us fome remarkable town. This may be certainly evinced from the infcriptions preferved on other Etrufcan coins. Now to what town can this word be fuppofed as a proper name to refer, but to Faffulte in the Proper Etruria ? That city flood at the foot of the Apennines, and was one of the mod (13) antient, as well as the mod confiderable, towns of Etruria. The Greeks wrote the name of it (14) OAIZOTAAI anc^ ( 1 5) ^AISOA A, the earlier Latins (16) fais vlai. Hence it fltotiid feem to appear, that this valuable Etrufcan coin has never yet been publiihed, at leaf! with a fufficient degree of exadtnefs. I therefore judged it would be by no means improper to fend the Society a draught of it, as well as one of the Athe- nian tetradrachm here mentioned, taken with the utmoft ac- curacy, and fuch as may be entirely depended upon. V id. Annib. degl. Abat. Olivier, ubi fup. p, 43. (12) Anton. Franc i lev Gor. ubi fup. p. 422-431. Joan. Baptifr*. Pafler. Pifaurenf. De Num. Etrufc. Pajlanor. DiJJcrtat. Vid. Symbol. Litterar. Vol. II. p. 13-35. Florentiie, 1748. (13) Tho. Dempft. De Etrur. Regain, iv. c. xix. & alibi, FJ orentire, 1724. (14) Appian. Alexandria De Bell . Civil. Lib. II. p. 7x1. Am- ftel. 1670. Dio, Lib. xxxvn. (15) Polyb. Hijlor . Lib. II. c. 25. p. 158. Amidol. 1670. ( ib) Enn. h Lucret. paflim. Virg. Job. NicoJ. Func.'Marbur- geni. De Adolefcent. Latin, Ling, Era flat, p, 72 c.’ Martourei Cattorum, 1723. 5 * 4 and C r04 ] and thofe of the Augudan age faesvlae. The diphthong ai at firft prevailed amongft the Latins, as well as the Greeks ; but was afterwards converted by them into /E, or ae. That the Etrufcans ufed globules on their coins, to denote the weight or value of them, has been obferv- ed by the mod: celebrated (17) antiquaries, and is now univerfally allowed. From them the cuftom of im- preffing thefe marks upon money and weights pafled to the Romans. Now Faefulse was one of the mod: famous and antient cities of Etruria. Nay, with its didridt, according to a (18) very eminent writer, it formed one of the twelve lucumonies, or free dates, of that country; and, in fupport of this fentiment, it may be remarked, that feveral valuable remains of (19) Etrufcan antiquity have been found near the fpot formerly occupied by that city. A mint was therefore undoubtedly eredted there, and money coined in it. The fituation of this place, at a fmall didance from the Arno, and not far from the Tyrrhenian Sea, may be confidered as an additional reafon why a turfo, or tyrfo, fhould have fometimes been impreffed on its coins. The age of the piece before me I cannot take upon me, with any precifion, to determine ; but think it mud have been emitted from the mint at Fasfulas, before the final fubjugation of Etruria by the Romans. (17) Phil. Bonarot. ubi fup. Honor. Arigon. Nurn. Urb. & Po- pular. Hetrur. AnUqu'tJpm. Tarvifii, 1745. (18) Dempft. ubi fup. et alibi. Vid. etiam Cluver. Cellar. &c. (19) Anton. Francilc. Gor. ubi fup. p. 19, 112, 435. I We [ *' I05 3 We may therefore reafonably prefame !t to have ap- peared before the reduction of that country to the form of a province by the conful Ti. Coruncanius, in the year of Rome 473 ; if not before the terrible overthrow given the Etrul'cans by the conful Aimilius Barbula, in the year 442, which feems to have put a period to the independency of that nation. If we admit this, the coin cannot well be fuppofed to have preceded the birth of Christ lefs than three hun- dred years. Nay, it may be of a much earlier date, if the learned (20) Sig. Gori’s notion of the high anti- quity of the brafs Etrulcan coins be not altogether re- mote from truth. Be this as it will, no one has yet fully difproved or invalidated his opinion. From the coin here confidered, I think, we may venture to infer, that the manner of adorning with the head of Hercules fome of the Idler weights was (21) originally Etrufcan, but adopted afterwards by the Romans. The people of Fasfulas and the neighbour- ing trad undoubtedly formed one of the twelve lucu- monies, or cantons, of Etruria, and even made a figure after the Etrufcan times. A colony was fettled here by (22) Sylla, and the inhabitants of this place feem to have enjoyed the priviledges of a municipium in the days of (23) Pliny. Other points, belides thofe already mentioned, are clearly deducible from the medal I (20) Idem ibid. p. 419. Phil. Bonarot. ubi fup. (21) Anton. Francifc. Gor. ubi fup. p. 424, 425. Phih Bo- narot. ubi fup. (22) Cic. in Catilin. Orat. III. (23) Plin. Nat. Hiji . Lib. vii. c. xnt. p. 381. Ed. Hard. Pa- rifiis, 1723. Vol. LIV, * P have [ * 106 ] have been endeavouring to explain, the only one of Faefulae hitherto difcovered, which at prefent I cannot fo much as touch upon j having but juft time to afture you that I am, with the moft perfect confideration and efteem, S I R, Your moft obedient humble fervant, Chrift-Church, Oxon, May 31ft, 1763. John Swinton. XVII. Obfcr- [ * 107 ] XVII. Obfervation of the Eclipfe of the Sun, the \Jl of April 1764, made in Sm- ry-ftreet, in the Strand, London: By James Short, M. A, i F. R . fi. Read April 5, H E morning of the eclipfe I had X provided the inftruments I judged would be neceffary for obferving it in fuch a manner as to be fatisfadory to the Royal Society as well as to myfelf. A receding telefcope of two feet focal length, it’s aperture four inches and a half, and it’s magnifying power feventy times. To this telefcope was fitted a micrometer with an achromic objed-glafs of 40 feet focal length. The right honourable the Earl of Morton, now Prefident of this Society, was pleafed to honour me with his company, and alfo to obferve ; but in different rooms, out of fight and hearing of one another. His Lordfhip ufed a refledor of only eighteen inches focal length, four inches and a half aperture, and a power of forty times, to the eye-piece of which a helio- fcope was adapted, for viewing the Sun difiindly, without the leaf! inconvenience to the eye. The condition of the air was very unpromifing, for, befides a general hazinefs of the Iky, thin flow moving clouds were frequently palling over the Sun from 4 [ * *o8 ] from the South-weft, fo that it was by fitts only that the Sun’s limb could be feen diftindtly. I ufed a fmoaked-glafs to defend my eye, and my obfervati- ons were noted down as follows. Apparent time. h March 31,21 t ti 4 33 4 36 { the beginning of the eclipfe by me. by Lord Morton. All the reft by myfelf, with the before mentioned micrometer. h / 21 12 14 16 18 19 48 22 19 22 23 26 28 3° 32 23 35 37 40 41 27 12 1 37 42 15 28 58- 10 13 22, o • 14 32, 1 15 5°» 8 16 50, 6 17 45> 4 27 7, 1 29 33, 2 29 49* 5 : 29 49, 5 : 2 58,7: : diftance of the cufps. : ditto. : ditto. : ditto. = ditto, r ditto. = ditto. {Moon’s diameter nearly parallel to the horizon. ; ditto. j greateft diftance of Sun l and Moon’s limbs. 28 — 2 3 1, 3 = ditto. 43 — 2 26, 2 = ditto, o _ f Moon’s diameter nearly b 29 49, 5 — j parallel to the horizon. 23 — 21 11, 4 = diftance of the cufps. 33 — 20 18, 4 = ditto. 59—18 52, 9 = ditto. The [ I05 ] The end could not be feen for clouds, but the whole of the eclipfe may be determined from the above meafurements. The Sun’s diameter parallel to the horizon, about an hour before noon on the day of the eclipfe, was 31' 59", 4, air hazy. The next day at the fame hour it was 31' 58//, 6. addition. i - ■ I f h f if , . I ir April i a, II 00 P.M. Moon’s diameter mwured s-s 3? 49,9 13. 6300 P.M. — - =33 M . 10 25 oP. M, - - - — ■ = 33 20, 7 air undulating, 14. 6 30 o P. M. * — — — - — — — s= 33 21, 6 11 00 P.M. — . — — = 33 39, 5 air undulating. XVIII. Obfervation of the Eclipfe of the Sun, April i, 1764: In a Letter from Dr. John Bevis, to Jofeph Salvador, Efq; F. R . S I R, fcead April 5, rT|“1 H E honour you were pleafed to 1764- do me by fending me an invitation to obferve the late eclipfe of the Sun at your houfe, and the accommodations I there met with, require that I fhould give you the bed; account I can of my obfervation, however imperfedt through the unfa- vourablenefs of the weather. Vol. LIII. P You [ io6 ] You may remember, Sir, that, not long before the beginning of the eclipfe, the air, from very ferene, turned hazy, and thin clouds came from the South- weft. I had fet a ftop watch of Graham’s, by a clock likewife of his, with which the Sun’s tranfit on the meridian was obferved* carefully two days before the day of the eclipfe, and the next day after it.. By comparing my watch with this clock on my return, I found it was 19 feconds too faft in mean time, at your houfe, when I obferved the beginning; and whereas it then fhew’d 9h g' i2", it fhould have (hewed no more than 9h 8' 53", from whence fub- du&ing 3' 45", the equation of time, there remains 9h 5' %"> the apparent time of the beginning of the eclipfe, as I obferved it. But I muft remark, that, the ftate of the fky con- tinuing fuch as I have defcribed it, the beginning muft have really happened fooner, by 10 or 15 feconds, as I judge from the firft perceivable diftance of the cufps ; fo that, if I ftate it at gh 4' 53", I prefume I (hall err but a very few feconds. About the middle of the eclipfe, the air was very clear, and the cufps well defined, which wanted a- bout 60 degrees of joining. I could not then difcern any thing on the Sun about the Moon’s limb, which in the leaft indicated a lunar atmofphere. A full di- git of the Sun, or more, remained uneclipfed. The day-light was but inconsiderably diminifhed, fo that neither Jupiter nor Venus could be feen, though both in a favourable pofition, to the eaft of the Sun. Fahrenheit’s thermometer, placed without door to the north, (food at 50 when the eclipfe began, and fell but one divifion whilft it lafted. The C 107 3 The end oi the eclipfe could not be obferved for tnick. clouds, to the great difappointment of all who had the curiofity to give their attention to this phe- nomenon in or about London. I am, with great regard, S I R, Your very obedient humble fervant, J. Bevis. Clerkenwell-Clofe, April 4, 1764. Tie Moon’s Eclipfe of March 1 jtb, 1764, obferved in Surrey-hreet, in the Strand, London. Apparent b / 10 32 39 48 53 54 57 11 46 o 49 12 13 J7 56 o 2 16 24 time* // 43 o the penumbra juft fenftble to the naked eye. o the beginning, viewed with an opera glafs. 30 the ftiadow touches Mare Humorwn : This, and thofe that follow, with a 9 inch reflector. 35 Tycho touched by the fliadow. 41 Grimaldi touched. 30 Grimaldi covered. 30 the fliadow touches the fouthern border of Mare Tran- quillitatis. 36 * — touches the fouthern border of Mare Cri - Jium. 44 Grimaldi begins to emerge. 36 is quite emerged. 23 Mare Crifiuan nearly bifedted by the fliadow. 30 Tycho out of the fliadow. 40 Mare Crifium out of the fliadow. 30 the end of the eclipfe, with an opera glafs. o the Moon clear of the penumbra. The ftiadow was ill defined, tho’ the air was clear. P 2 P. S. [ xoS ] I5. S. I find an obfervation of mine of the lunar eclipfe of May 7th, 1762, printed in the Philofophical Tranfadtions Vol. L1I. pag. 543. How it got there I know not, never having thought it worthy the no- tice of the Royal Society. Belides, in the three ob- fervations there faid to be made at Mr. Short s before the eclipfe, the equation (I fuppofe by my own mil- take) is fubftrafled , which fhould have been added to give the apparent time j and die three apparent times there fet down, are to be increafed each by 4' 16" to make them the true ones. J. B. XIX. Obfervations on the Eclipfe of the Sun, April 1, 1764 : In a Letter to the Rev. Thomas Birch, D. D. Secret. R, S. from Mr. James Fergufon, F. R. S. Reverend Sir, Liverpool, April 2, 1764* Read April S-TJAVING been at this place ever ‘764* Jl i fince the beginning of March, and hoping that the fky would prove favourable (as, to my great joy it did) for obferving both the lunar eclipfe of March 17th, and the folar eclipfe of yeflerday, I propofed to captain Hutchinfon, at whole houfe I flay, to have a meridian line drawn on the leads on the top of his houfe, in order to adjufl his clock, for obferving the times of thefe eclipfes by : and we got Mr. Holden, who is mailer of a mathematical fchool here, to do it for us, by fevcral obfervations of the altitude [ I09 ]' altitude and azimuth of the Sun by day, and of the ftars by night ; and there were fuch exadt agreements found by many repeated obfervations, that no doubt could remain of the meridian’s being very well ascertained. The fame gentleman, who is juftly efleerned to be a very accurate obferver, and an able calculator, finds the latitude of Liverpool to be' 53° 2_z' y and its longitude is generally thought to be three degrees weft of Greenwich, but he believes it to be fomewhat. lefs. The clock being duly adjufted by our meridian line, at noon, and the time being found by obfervations of feveral ftars in the evening of March 17, the apparent time of the beginning of the Moon’s eclipfe was ob- ferved to be at ioh 27' p. m. and the end at 1311 n'. On the next day, 1 calculated the time of the ecliptic conjunction of the Sun and Moon for April r, by Meyer’s, tables, as we have them publifhed by Mr. Mafkelyne, and then made a projection of the Sun’s eclipfe for that time by them, for this place, ac- cording to it’s latitude as determined by Mr. Holden, and fuppofing it’s longitude to be 3 degrees weft from Greenwich ; and put up this projection in the council- room, that it might be feen, in order to find how it might agree with obfervation. Being provided with a good refleding telefcope at captain Hutchinfon’s, I cut a round hole in a pafte- board which would go tight on the tube, and took the Sun’s image on a paper behind it, as large as I could have the image of the Sun (harp and well de- fined around the edge, which was included in a circle of 4 inches diameter. I divided the diameter into 12 equal parts, for digits, and each digit into 4 parts, [ 110 ] the half of every fourth part being left to be eftimated by the eye. , Mr* Holden and two other gentlemen, who are efteemed good obfervers, and were provided with refraCting telelcopes and Hadley s quadrants, were with me on Sunday morning, and I defired a third gentleman to note down the times, and to be careful not to miftake the minutes of time; as one might be more apt perhaps to miftake the minutes than the feconds. The clouds threatened us difappointment till about ten minutes before the calculated time of the beginning of the eclipfe, and then the Sun fhone out very clear ; and during the time of obfervation we were but feldom interrupted by thin flying clouds.. The firft and loft contacts of the IVToon and Sun were fo /harp and inftantaneous, that it feemed poflible to determine them within one fecond of time. Several al- titudes of the Sun were taken during the eclipfe, by re- flecting the Sun’s image from a bafon of treacle; and the quantities eclipfed were plainly vifible on the fore- mentioned image of the Sun on the paper, even to the eighth part of a digit. But the altitudes want yet to be corrected by their refpeCtive refractions. Several people came into the room to fee the eclipfe, fome of whom were fubfcribers to my leCtures ; and I could not well refufe them admittance. But I told them before-hand that they muff neither fpeak nor move till the eclipfe was found to be begun. This they ftriCtly complied with, and gave no manner of difturbance ; and, after it was begun, I defired them all feparately to come and view it by the telefcope, ■which hindered me from obferving the number of digits eclipfed for the firft hour. I kept [ 111 ] I kept by the reflecting telefcope, and watched the bun carefully for about five minutes before the calcu- Iated time of the beginning of the eciipfe. Our watches were adjufted to the mean or equal time; and two of them kept exadly alike during the whole time of tile ecliple. The obfervations were as follows : Digits. b 8 59 Ur O Sun’s altitude. t o 8° ro 2 0 — 8j_ 2. 10 5 0 — 9 ~ 35 49 3°; ro 1 1 0 — 94. 10 13 0 — . 10 — 36 29 0 10 18 0 — I04 10 21 0 — 104 ~ 37 0 0 uncertain IO 25 0 — 104 — 37 20 0, IQ 3° 0 — - IO IO 38 0 — 9 ~ f vy a piumD-iines IO 40 30^ fhadow on the Sun’s image. Sun’s alti- tude then 38°48/o//. 38 57 3° 8 30.. 10 43 3° 10 47 o ro 54 30 11 00 11 3 45 1 1 12 o 11 J5 45 11 19 15 1128 o 11 35 2 ■ u 45 15 • 11 5o 45 | 39 — 8 — 7 — 64 — 6 ~ 5 ~ 44 4 - f uncertain, on account of a thim ^ [ flying cloud. — 2 — - 04 uncertain by another cloud, eciipfe ended, the fky quite clear. Sun’s-, altitude 4i°27/o//. Ail] 1 [ It2 ] All wrote down by Mr. Baxtonden, who kept a copy thereof. At night, Mr. Holden returned and examined the clock by the ftars, and found the time (hewn by the clock to be true. Between the beginning and the middle of the eclipfe, we could plainly perceive inequalities in the Moons eaftern limb on the Sun, by means of the reflecting telefcope; and I often obferved little tre- mulous bright fpecks of the Sun’s lowermoft edge in the otherwife dark place juft before, or weft, of the lowermoft cufp ; but they vamfhed in an inftant, ex- cept one which was confiderably larger than any of the reft, and was vifible for about two feconds of time by eftimation : but I was fo intent upon ob- serving it, and looking for others, that I forgot to have the time of its appearance marked down. This undoubtedly was owing to a dent or valley in that part of the limb of the Moon, which no hill beyond it took off from the fight. But as the eclipfe was drawing toward the end, we could perceive no ine- qualities of the Moon’s weftern limb on the Sun, nor any fuch fpecks in the Sun’s edge about either of the culps. As the Moon’s latitude was north afcending, and the cufps not perpendicular till after the middle of the eclipfe, I apprehend that when they were fo, the apparent altitudes of the centers of the Sun and Moon were equal. But whether they were then fo or not, I leave to better judgements to determine. I {hall now fet down the times of the beginning, middle, and ending of the eclipfe, as pre-determin- ed by the above-mentioned projection thereof for Li- verpool, L 11 3: J verpool, from Meyer’s tables, which were the appa- rent times ; and fhall reduce the obferved equal times to the apparent, by fubtra&ing 3 minutes 48 ieconds (which we fuppofe here was the equation of time) from the equal times as obferved by die clock and two watches which kept equally going together. Apparent times. By projection.. By obfeivatien. h h Beginning 8 56 o 8 55 12 Middle 10 21 45 not certain. End ■ 1148 o — 1 1 46 57 Duration 2 52 o 2 51 45 Digits eclipfed 1044 ioi. exactly. We with for the accounts of the obferved times at the Royal Obfervatory and at London ; becaufe, by comparing the difference, and making allowance for' the velocity of the penumbra between Liverpool and' London, the longitude of Liverpool might be known. As the obferved quantity was fomewhat greater than the projected, as to the digits, and the projection which I gave in, lome time ago, to the Royal Society from Meyer’s Elements, made the lower edges of the ; Sun and Moon to be very nearly in contaCt at the time of greateft obiervation at Greenwich, I am apt to think that the appearance at Greenwich was annular : and am, with the greateft efteem,. Reverend Sir, Your moft obliged humble-fervant, James Fergufon. . XX, Oh— Vol. LIV. 4 [ lr4 ] XX. Obfervations on the Eclip/e of the Sun, April i, 1764, at Brompton-Park : By Mr . Samuel Dunn. Read April 5, T)ART of the inftruments which I i;64. was pj-Qyjjjgjj with for obferving this eclipfe were, a reflecting telefcope 21 inches focus with a micrometer, a refracting telefcope 6 feet in length with only two glafles, a double convex objeCt glafs, and a double convex eye glafs. Two pendu- lum clocks, and a flop watch to feconds of time. I had taken as much care as poflible to adjuft the clocks to mean folar time fome days before the eclipfe, and from feveral altitudes of the Sun, taken March 30th in the morning and afternoon, concluded the clocks were then exactly with the Sun to a fecond of time. March 31ft was a cloudy day, and not the lead: hope of feeing the Sun the day following, ’till near midnight, when it cleared up, and the ftars appeared. April 1 ft, the Sun rofe a little obfcured by vapours and thin clouds, which he became more free from as he advanced in altitude. At 6h 56' per clock, I took the altitude of the Sun’s centre 2° 25' 20", from which obfervation the dock was 6 feconds of time before the Sun. At 6h 59' per clock, I took the altitude of the Sun’s centre 120 50' 45", from which obfervation the clock was 4 feconds of time before the Sun. At [ «5 ] At 7h 5' per clock I took, the altitude of the Sun’s centre 1 30 49' 55'', from which obfervation the clock was 4 feconds of time before the Sun. And the fame dav in the afternoon, At 4h 23 per clock, I took the altitude of the Sun’s centre 180 49' 40" from which obfervation the clock was 5 feconds of time before the Sun. Thefe and other obfervations confirmed that the clock was 5 feconds of time before the Sun at the beginning of the eclipfe. At Sh45/ per clock, I fet my watch exactly by the clocks j captain Bentincke and captain Holland were prefent with curious watches. From 8h 45' per clock, to the beginning of the eclipfe, I continued obferving with the refle&ing te- lefcope, and faw the limb of the Sun through the telefcope and thin vapours, without any dark glafs, as clearly as it could be feen by any heliofcope whatfoever. Captain Bentincke pronounced the feconds of time as they were fulfilled by the watch, and as the mi- nutes of time were fulfilled they were written down. At 9h 4' 29" per watch, I thought I faw a little dull tremulous vibration obtrude itfelf on the limb of the Sun 5 and, At 9h 4' 30 ' it became a little more fenfible; and. At 911 4' 31" a little more lenfible ; but it was At 9h 47 32" per watch before I was certain the Sun’s limb was touched by the limb of the Moon j And, At 915 4' 33 I plainly faw, through this telefcope, and the thin vapours of the atmofphere, the lead: vi- able dent, perfectly well defined in the Sun’s limb. 0^2 I inftantly [ ] I inftanfly compared the watch with the clocks, and found the watch had loll 4 feconds of time of the clocks, a property which it had before had, when taken out of the pocket and expoled to the cold air. The watch was therefore but one fecond of time before the Sun at the time of oblervation, for Bromp- ton park, which is exadly one mile from Hyde-park- corner, in the way towards Kenfington. Clouds prevented the end of the eclipfe from be- ing obferved j at I2h 3' the Sun appeared, and the eclipfe was ended, and from the oblervations which I made, have drawn a map of the phales and end- ing, which is herewith, Tab. XII. London, April 4, 1764. Samuel Dunn, QhJeruaUom * [ ri7 ] Olfervations on the Eclipfe of the Moon, I Jth March 1764, made at Brompton-Park, near London, 10' of Tune Weji, of Pari?, and 43" of Time JVeJi of the Royal Obfefvatory at Greenwich 1 By Mr . Samuel Dunn. Solar time. At '' f the eclipfe begins in that part of the ^loon’s limb ^ l between Tycho and Grimaldus. Skikardus toucheth the fhade. 10 39 10 4.0 30 r ~ f the lower patt of Mare Humorum is touched by 10 45 ° 1 the (hade. J 10 51 10 Tycho and Grimaldus touch the fhade. 10 C2 o ( Grimaldus exadly covered and Tycho a little I immerged in the (hade. 7 15 Gaiileus toucheth the fhade. 1 1 45 Keplar and Lanfbergius touch the {hade, 18 ro ( Copernicus toucheth the (hade, and the lower 1 1 1 1 1 1 f Manilius toucheth the fftade, and Plinius not t yet immerged. t part of Mare Nectaris is a little immerged. — 11 28 15 Ariadeus toucheth thefhade,in Mare Tranqmllitatis — 1 1 36 3° Juhus Cefar toucheth the fhade. — 11 41 o — 11 47 10 Mare Crifium it’s lower part toucheth the fhade. — 12 15 40 Grimaldus is quite immerged. — 12 17 45 Keplar emerges from the fhade. — 12 20 30 Copernicus emerges. {the line of the fhade pafTeth between Julius Cefar and Manilius, and at the fame time a little of Mare Humorum is emerged. {Mare Crifium begins to emerge, and at the fame time the line of the fhade pafTeth a little below Plinius and Vitruvius in Mare Tranquillitatis. — 12 56 50 Tycho emerges. {the centre of T ycho is a little emerged, and the line of the fhade pafTeth through Mare Crifium two thirds from the upper end. ’ 13 1 5° Mare Crifium is quite emerged. 5 45 Theophilus in Alare Nedlaris emerges. {the eclipfe ends in that part of the Moon’s limb cut by a line drawn through the Moon’s cen- tre and the lower end of Mare Nedtaris. Note, In die above obfervations, where it is faid that any fpot touched the /hade, it is meant, that that fpot was centrally bifle&ed by the line of the /hade at that time. I XXI. An C ”8 ] XXI. An Account of the Degree of Cold obferved in Bedfordfhire : By John How- ard, Efq\ F. R . S. in a Fetter to John Canton, M. A . F, R . S • # S I R, Read April 12, T Would beg leave to acquaint you of j764« I a degree of cold that I obferved at Cardington, in Bedfordihire, the 226. of November laft : juft before Sun rife Farenheit’s fcale by one of Bird’s thermometers being lo low as 1 o and L. If it will throw any light on the locality of cold, or think it worth the Society’s obfervation, would leave to your better judgment, and remain with great efteem, S I R, Your moft obedient fervant, John Howard. XXI. An 7/kPlKPmcian Alphabet, deduced^ from hue Tranfcriffaoflht Maltefe-Phcemaan Idfcription TbrtofTranf 7W, Jir I'AB JOT.p.JH). X c y ^ - Beth; ^ ..... Ghimel 4 q Ualeik Ht v_^ Van Zam {£} Held Tctfv fjj Jod. — cv\ — Lamed jMan ...min \\i A\i 'Hi Samech ^ q . . _V Ajm or Ain J?c \(\ Tzade XoPh . q - Roach Schin orSuv fj f] Thai % %'i *1 f 7 b * y 27.1,’ Maltete-Phoenician Infcription. q ^ >y q \p/T7 ginq HVJ >* A 9 O JtMi/ndi Jc. [ ”9 ] q'he following paper was received a little before the re - cefs of the Royal Society, in 1763; but was after- wards mijlaid, , and not found ’ till the beginning of April 1764. To this accident is folely to be imputed the delay of it's publication . XXII. Some Remarks upon the fir ft Part of M. TAbbe Barthelemy’s Memoir on the Phoenician Letters , relative to a Phoenician Infcription in the Ijland of Malta. In a Letter to the Rev . Thomas Birch, D. D . Secret. R . S . /rw» the Rev . John Swinton, -D. i7. Member of the Aca- demy degli Apatifti at Florence, and of the Etrufcan Academy of Cortona in Tufcany. Good. Sir, Read April 12. TV X l’Abbe Barthelemy having lately 17'H. I yl communicated to the learned world fiU copy o*f one of the Phoenician inferipti- ons long frnce difeovered in the ifland of Malta more accurately taken (as he pretends) than any of thofe that had ever before appeared, and attempted to ex- (,) Mem. dans kquel on prtruvt , qne Us Chinns font Egyptiemu, par M. de Guignes, &c. p. 39 54' I76O. une tolonie A Paris, plain [ 120 ] plain it in a manner perfectly new; T /hall beg leave to make a few curfory remarks upon what he has been pleafed to advance, on this occafion. Which-, remarks may perhaps be deemed not altogether un- necedary, as part of the infcription, according to M. 1 Abbe s ledion of it, feems at lead; fomewhat involv- ed, if not wholly unintelligible and confequently will admit, unlefs I am greatly deceived, of a farther illudration. Nor can M. l’Abbe be difguded at my prefuming to differ in a few particulars from him, as he is not aded by a fpirit of odentation, or a third after applaufe, but the love of truth ; and as he has taken the fame liberty with one of my didertations, which the Royal Society did me the honour to pub-, lifh a few years dnce, upon a fimilar fubjed. I. M. r Abbe obferves, that “ in (2) the beginnings ** the Phoenician letters were not didingui/hed from ** the Samaritan ; but that mod of them in proeefs 4t of time admitted of fuch great variations, that the “ traces of their origin are very frequently loft.” Hence it feems to appear, that the later any Phoeni- cian infcriptions are, the more the forms of their letters mud recede from thofe of the correfpondent Samaritan ; and, vice veria, that the more remote the duds of any Phoenician elements from thofe of the correfpondent Samaritan are, the later fuch charaders, and confequently the infcriptions formed of them, mud be. Let this be allowed, and it will be diffi- dently manifed, that the Maltefe infcription (which (2) Ibid. p. 39. our C 121 ] our author Teems to have had principally in view, when he made the preceding obfervations) is fe- veral year9 at lead; poderior to the days of Simon, prince and high-pried: of the Jews. The alphabet therefore deduced from this infcription, which differs pretty condderably from that exhibited by the fepul- chral dones found in the ruins of Citium, ought not to pafs for the true antient Phoenician alphabet, that prevailed over fo great a part of the Ead in the earlier ages. From the paffage here produced we may farther infer, that the Phoenician infcriptions either coeval with the Samaritan coins ftruck by Simon, prince and high pried: of the Jews, or older than thofe coins, mud: be formed of letters, for the mod part, extremely dmilar to the Samaritan. And this we find in fad to be true. Many of the elements therefore of thofe infcriptions may be more eafily difcovered by the abidance of Simon’s medals, than by that of any monument of antiquity feveral hundred years later. Nay, the powers of many letters, allowed to belong to the Phoenician alphabet, have been actually afcertained by means of the correfpondent elements on the Samaritan coins. We mud not therefore too hadily admit, or too clofely adhere to, whatM. l’Abbe has been (3) pleafed to lay down, in the mod unli- mited terms, as a certain and indubitable truth ; viz. that tc a Phoenician alphabet ought by no means to “ be founded upon the affinity of its letters with thofe D, and the participle or CD’SpyO, tortvosi, in- FLEXI, TORTE NAVIGANTES, Or HVC ET ILLVC agitati. This therefore may be appofitely enough rendered, tanqvam ex iis qvi hvc et illvc agitantvr, inflexo cvrsv (vel itinere) jac- tantvr, torte navigant, &c. It may alfo be tranflated, with fufficient propriety, qvvm hvc et illvc agitati fuerint, qvvm torte naviga- VERINT,&C. WHEN THEY SHALL BE TOSSED (upon (20) Saggt di Dijfertazlon. Accadmich. bY. di Cor ton. Tom. III. p. 90. In Roma, 1741.' the [ 131 3 the Tea) hither and thither, when with MANY TURNINGS AND WINDINGS THEY SHALL plough the ocean, &c. the particle 3 fometimes denoting qvvm, and a pleonafmus or redundancy of 0 having not been antiently uncommon, according to (21) Noldius. The two Maltefe ftones therefore adorned with this infcription, fimilar to many others with which we are fupplied by the remains of antiquity, muft beconfidered as votive monuments. They were erected by Diony- iius and Sarapion, both Tyrians, and the fons of Sara- pion, in confequence of a vow, to Hercules, furnamed the conductor, or the chief conductor, for a profperous voyage. That the infcription runs in the third perfon, not the firft, as M. l’Abbe Barthelemy afferts, from the correfpondent Greek one, and the confiderations already offered in fupport of this point, feems fufficiently clear. This the laft word CD3"Q% benedicet illis, not nobis, he will bless them, not us, or benedicat ipsis, may he bless them, not us, muft be allowed alfo indubi- tably to prove. If the preceding obfervations fhould meet with the approbation of the Royal Society, the following tranf- lations of the infcription now before me may perhaps not prove unacceptable to the learned. [See the In- fcription, Tab. XI.] (21) Chrift. Nold. Concordant. Particular , Ebrao-Chald. p. 353, 354> 470- 7en*> 1734- XI. S 2 [ J32 ] •via on San p-mS “)DO“)DK ’nkS*l *-|DK13y TO# yODD "IDiODy p “IOO"lDK p p DITD* Ebp DOMINO NOSTRO MELCARTHO DEO (tUtelari) TYRI MATRIS VOTVM FECERVNT ABDASARVS ET FRATER (ABDASARl) ASERIM— HAMMARVS IS QVI FILIVS (eft) ASERIM-HAMM ARI FILII AB- DASARl IIS TORTE NAVI G ANTI B VS (vel HVC ET ILLVC INFLEXO GVRSV AGITATIS) BENEDICAT^ ABDASAR AND HIS BROTHER ASERIM-H AMMAR WHO (alfo) IS THE SON OF ASERIM-HAMM AR THE SON OF ABDASAR HAVE MADE A VOW TO MEL- carthus (or Hercules) the (tutelary) GOD OF TYRE THE METROPOLIS IN THEIR TURNINGS AND WINDINGS (or IN THEIR CROOKED NAVIGA- TION') MAY HE BLESS (or PROSPER) THEM. That M. l’Abbe Barthelemy’s explication of the infeription here confidered is at lead: fomewhat in- volved, from the foregoing remarks, feems fuffici- ently clear ; whether or no his obfeurity, or miftakes, if any fuch there be, are removed by the illuftration now offered, the Royal Society will be the bed; able to decide. But though M. l’Abbe has perhaps not arrived at a complete interpretation of this infeription, he has neverthelefs thrown much more light upon it than either [ 1 33 ] either M. le Commandeur (22) de Marne, or M. l’Abbe Fourmont, or indeed any other perfon who attempted, before his memoir was read, an explica- tion of it. This cannot but be acceptable to the lovers of antiquity, and muff intitle him to the thanks of the learned world. XII. The language of the infcription is a mixture of Hebrew and Syriac. The firft word, mull be looked upon as Syriac ; as may likewife the fixth term, TU> on account of the fenfe wherein it is ufed. The feventh is Hebrew, as well as Syriac. The ninth, however we render it, is undoubtedly Hebrew ; and the eleventh, however this may have efcaped M.. l’Abbe, as certainly Syriac. The two lad words are manifeftly Hebrew, though in the laft fyllable of the former of them Jod is fuppreffed. But this is inti rely confonant to the Phoenician form, the coins ftruck at Sidon generally exhibiting DTO1?, for CDUIVV, with the Jod expunged. The term p, son, ufed twice in this infcription, is here alfo apparently He- brew. We cannot therefore infer from the mo- nument under confederation, as (23) M. l’Abbe Barthelemy has done, that “ there is lcarce any “ difference at all between the Phoenician and Syriac “ languages.” Nor will M. (24) de Guignes me- (27) Saggi di Dijfertazion. Accadetnich. &c. di Corf on. Tom. I. Par. I. p. 25 — 34. In Roma, 1735. & Tom. III. p. 89 — in. In Roma, 1741. (23) M. de Guign. ubi fup. p. 47. [ 1 34- ] rit the attention of the learned, when he is pleated to after t, that “ M. l’Abbe Barthelemy has actually “ Proved> from this infcription, that the Phoenician “ language is nothing elfe but the Syriac tongue.” xnr. As the moft antient Phoenician language was al- moft intirely the fame with the (25) Hebrew, the Sy- 1 lac woids that occur in this infcription, together with what has been alieady remarked of the forms of the letters it contains, announce it to have been of a later date. The figure of the Koph in particular agrees in all refpedts with the form of the fame element ex- hibited by a coin ftruck at Achola, or Achulla, as the name appears on this medal, in the Auguftan, a§e* ^ ^at this time, and even earlier, as well as later, feveral Syriac words fhould have been ufed by the Phoenicians of Tyre, can be no matter of fur- prize, when we confider, that the Jews themfelves, dining this period, fpoke a language extremely fimi- lar to, if not almoft: intirely the fame with, the Syriac. XIV. I mud beg leave farther to remark, that, by the af- fiftance of the monument now before me, two Phoe- nician proper names have been difcovered, which have never hitherto in any of the antient hiftorians occurred. As the Aleph in ID?1? was, however, fome- times pronounced like E, and perhaps I, the word (25) Bochart. Chan. Lib. II. cap. 1. ABDISSAR [ *35 ] abdissar, (26) met with by M. l’Abbe Barthelemy on an antient coin, and abdasar, exhibited by the Maltefe hones, may by fome poffibly be confidered as nearly the fame name. Should this prove really the cafe, M. l’Abbe muft be allowed to have been extremely lucky in meeting with a proper name fo fimilar to, or rather fcarcediftinguifhablefrom, one pre- ferved in an infcription, he was juft going to explain. Be this as it will, the word abdasar appears, as a part of another Phoenician infcription, on a piece of marble, found amongft the ruins of Citium ; which was prefented by Charles Gray, Efquire, member of Parliament for Colchefter, and fellow of the Royal Society, a gentleman of great merit and erudition, to the Univerfity of Oxford. \ XV. To what has been here advanced it may not be improper to fubjoin an alphabetic table ot the Phoe- nician letters forming the IVIaltefe inlcnption, which M. P Abbe Barthelemy has lately attempted to explain ; [Vide Tab. XI.] , and on which, in this paper, I have been endeavouring to throw fome additional light. The form of the Thau in the table, not bearing the leaft refemblance to a crofs, approaches pretty near that of Tzade (27), as exhibited by feveral of my (26) Mem, de Litter. &c. Tom. XXVIII. p. 597. A Paris, 1761. * , (27) Of all the letters in the Phoenician alphabet none perhaps has a greater variety of forms than ‘Tzade, One of thefe, that not feldom occurs upon the Tyrian and Sidonian coins, pretty much refembles the charafter which M. l’Abbe Barthelemy takes Tynan 4 [ ] Tyrian and Sidonian coins ; though thefe characters, as upon infpedtion will appear, are fufficiently diftin- guifhable from each other. f oxThau , in the Phoenician infcription here explained. Now this very figure of Tzade immediately precedes the numeral charac- ters in the exergues of feveral Sidonian coins, and is itfelf imme- diately preceded by the letter Schin. Thofe two elements there- fore, as occurring on the medals of Sidon, and preceding a date, I took for the initial letters of the words the year of sidon ; and evinced this by fuch reafons as, I apprehenied, could not be eafily overthrown. But M. l’Abbe Barthelemy be- lieves the two elements to form the word year ; and has been followed in this notion by M. Pellerin, who feems a little to exult, and triumph, on the occafion. However, I fiill am fully convinced of the truth of what I formerly advanced ; and am hindered from coming into M. l’Abbe’s opinion, by the fol- lowing confiderations. 1. The very character I took for Tzade is the firft letter of the words *Y;£, tzor, or tzvr, and TZIDON, TYRE and sidon, on feveral Tyrian and Sidonian coins. This directly evinces the point in queftion. Some of thefe coins are now in my poffeflion, very weil preferved, and undoubtedly genuine. 2. The word it£>, annvs, year, or the year, does not occur in any of the oriental languages, or dialects, that I have hitherto been converfant with ; the term which is rarely ufed, being a different word. Nor can M. l’Abbe authenticate the pretended PH 5^, by obferving, or rather without any founda- tion roundly afferting, that as from is deduced nil, fo from may be derived T~\W, schat. For we certainly know, that there is fuch a word as nil, whereas nti* has not hitherto been found. We are not at liberty to frame terms out of our own heads, in order to ferve an indefenfible hypothefis ; nor will a grammatical conjecture, as I apprehend, realize a non-entity. 3. The numbers expreffed by Phoenician numeral characters on certain coins that indifputably belong to Sidon do not amount to 1 1 2. From whence, as I formerly obferved, we may infer, that the rera referred to by thofe coins was the later epoch of Sidon. Which if we admit, any year deduced from that sera The [ * *37 ] The figure of the Koph here is by no means the moft antient reprefentation of that element. It may, with the utmoft propriety, be ftyled the year of sidon ; and that appellation may be more naturally fuppofed to be pointed at by the letters Schin and Tbau> prefixed to the dates on the fmall Sidonian coins, than the Tingle word at length denoting THE YEAR. ° 4* On one or two medals in my pofieflion, the element Scbin, as the initial letter of the year, or in the year, not the whole word denoting the year, appears before the numeral characters in the exergue. From whence it Teems clearly to follow, that the elements preceding thofe characters ought to be taken for initial letters, and confequently that the character I denominate Tzade ought to be confidered in that view. _ 5- The year exhibited by the firft medal in my a plate of Phoe- nician coins, allowed by M. l’Abbe Barthelemy himfelf to belong to Sidon, and adorned with a numeral infcription, denoting thirty -six, cannot be the thirty-fixth year of the sra ot' Seleucus, becaufe the Sidonians were then fubjeCt to Ptolemy Philadelphus, king of Egypt, in whofe territories the fupputa- tion according to that epoch did not take place. The aera then to which the date on this coin refers muft undoubtedly be the proper sera of Sidon, which commenced in the year of Rome 643. Nothing therefore can be more natural than to fup- pofe, that the two alphabetic character; preceding the numeral infcription fhould be the initial letters of .the words the year of sidon, as I formerly ventured to fuggeft. From whence it feems all'o clearly to follow, that the notation by me ccnbdered in a former paper did not prevail at Sidon before the 207m year of the aera of Seleucus, nearly coincident with the 643d of Rome. 0. It what has been here remarked fhould meet with the ap- probation of the learned, they will perhaps not fo readily admit M. 1’Abbe Barthelemy’s pretended coins of Marathus to have ap- pertained to that inconfiderable city. Befides, fhould this be al- lowed, which, I am perfuaded, it will not, the notation they ex- hibit cannot well be luppofed to have been introduced there be- fore the later Sidonian aera commenced. For if the numeral a See Philofipk. TroxfoM. Vol. L. P. ii. Tab. XXXI. p. 791. * T too [ * »3» ] too much refembles the fquare or Chaldee Koph . The character denominated Koppa , vifible on the characters above-mentioned were not received in fo large, opulent, and polite a city as Sidon, before the year of Rome 643 ; it is utterly improbable, that they fhould have been ufed at Marathus, or any other obfcure place of Phoenicia, before the commence- ment of that year. Nay, it is highly probable, that the intro- duction of them there was pofterior to it. Now if thefe numeral characters were firft received at Marathus in the year of Roma 643, or rather a little after that year, fome of M. 1’ Abbe’s pre- tended coins of Marathus were (truck there in the days of Strabo. But then, according to that excellent b author, the city was de- ftroyed, and it’s territory occupied by the Aradians, amongft whom it was divided by lot ; fo that the foregoing fuppofition is, at firft fight, manifeftly abfurd. Farther, the word on thefe medals taken by M. l’Abbe to denote Marathus is frequently not as he fuppofes, but 2rHD» though on fome few of them part of the laft letter only appears. 'I his M. l’Abbe, without any manner of foundation, feerns to think a new form of the Ajin c, and believes it to be the initial letter of the name of a month ; though he had before, in a great meafure at leaft, exploded the notion of fuch initial letters. In fine the confuta- tions now fubmitted to the judgment of the learned abfolutely determined me to cancel part of a fheet of a fmall work, put to the prefs here, in 1753; w,iere‘n * aflerted, and endeavoured to prove, that thofe coins belonged to Marathus. ^ his will be at- tefted by the workmen I imployed, and the imprimatvr given me by the Rev. Dr. Brown, Matter of Univerfity College, our worthy Vice-Chancellor, at that time. The cancelled part of a Ihect is ft ill in my hands. .* In farther eviction of what has been advanced, relative to the7 initial letters in the exergues of certain Sidoman coins ; it mav not be improper to obferve, that a medal in my fmall col- leaion exhibits the letter Hheth, immediately after the numerical inlcription in the exergue. This probably represents the word ’VH, DiMinivM, half; as both that term and VQi, or vrDn> qvadrans, qv arter, are exprefled at length on fome D Strab. Gtograpb. Lib. xvi. p. 1093. Amftelxdami, 1707. c Journ. des Sfcrv. Aout 1760. p. 275. A Amlterdam, 1760. «i See Plate Fig. part [ * i39 ] medals of Croton, Corinth, and Syracufe, (28) as well as upon an inedited Punic coin in my fmail cabinet, was ufed for Koph by both the Phoenicians and Carthaginians in the earlier times. The form of the Koph likewife on a Punic medal, (29) that I formerly attempted to explain, was of a pretty high antiquity amongft thofe nations. Nor does (30) M. Pellerin merit any great attention, or regard, when he afligns that letter the power of Aleph j the character on the coin he refers to on this occafion feeming not to point out Aleph , but Koph. Nor has he fo much as offered to interpret the greatefl of the e rarer Samaritan coins. Hence it fhould feem incon- teftably clear, that the two Phoenician elements, J? W, prefixed to the fame fort of numerical characters, on fimilar medals, muft be viewed either in the fame or a fimilar light ; which, in con- junction with the initial letters preferved on the famous Samaritan medal of Bologna, formerly mentioned f, muft fet the point here infilled on beyond difpute. 8. From the preceding obfervations it feems manifeftly to ap- pear, not only that the alphabetic character immediately pre- fixed to the aforefaid numerals is Tzade, but likewife that the coins on which thefe are imprefled muft be of a later date. Hence we may conclude, that the times in which thofe pieces were ftruck may, with a fufficient degree of precifion, be afcertained. (28) Joan. Bapt. Biancon. De antiq. Lit. Hebraor. Lf Gracsr. Libel, p. 57, 63. Bononiae, 1748. (29) De Niton, quibufd. Sam. & Phcen, Dijfert. p. 86, 87* Oxonii, 1750. (30) Recueil de Medailles de Peuples et de Villes , Lie. Tom. III. p. 1 4 1 , 142. A Paris, 1763. e Nutnifm. Antiq. &c. a Tliom. Pembr. & Mont. Gomer. Com. Colleil. P. 2. T. 85. Num. 7. Acir. Reland. De Num. Veter. Hebraor. Tab. Non. Num. 3. p. 2oi. Traje&i ad Rhenum, 1709. f Philofopb. Tranfad, Vol. L. P. ii. p. 792. I part [ * 1+0 ] part of the legend, to which it belongs. Tis certain, that this charader, as well as that on the Punic medal above-mentioned, bears foperfed a refemblance to the figure of Koph preferved by a coin of Colyra, explained by the learned Sig. Abate Yenuti, that it cannot well be taken for any other letter. As the objection therefore (31) offered by M. Pellerin to my notion of this charader is dellitute of every fupport, it muft fall to the ground of courfe j and conle- quently no farther defence of that notion can be deemed requifite, or expeded from, S 1 R, Your mod obedient humble fervant, Ch.Ch Oxon. April 29, 1763. John Swinton. (31) Rccueil de Me dailies de Peuples et de Villesy is'e. Tom. III. p. 14 1, 142, A Paris, 1763. 1 XXIII. A C *37 ] XXIII. A Catalogue of the Fifty Plants from Chelfea Garden, prefented to the Royal Society by the worfoipful Company of Apothecaries , for the Tear 1763, pur - fuant to the DireBion of Sir Hans Sloane, Baronet , Med. Reg. et Soc . Reg. aliquando Prcefes : By John Wilmer, M. D. cla- rijfl Societatis Pharmaceut . Loud. Soc. Hort. Chelfean. PrafeBus et PrteleBor Botanic. * - ‘ s J 1' • J • ; • ' Read May 3, 1 2051 A Chillaea foliis pinnatis fupra- *'64' decompofitis laciniis lineari- bus diftantibus. Flor. Leyd. Prod. 175. 2652 Achillaea foliis fetaceis dentatis,denticulis fubin- tegris fubulatis reflexis. Linn. Sp. pi. 896. .2053 Achyranthes caule eredo, foliis ovatis, calycL bus fpicas adpreflis. 2054. Aconitum foliorum laciniis linearibus fuperne latioribus linea exaratis. Hort. Cliff. 214. 2055 TEfchynomene leguminibus fubasqualibus lasvi* bus. Linn. Sp. PI. 71 4- 2056 Angelica foliolis aequalibus ovatis, incifo-ferra- tis. Hort. Cliff. 97. 2057 Anthericum foliis carnofis fubulatis teretibus, fcapo fubramofo. Hort. Upfal. 83. 2058 Afperula foliis irlferioribus fenis, intermediis quaternis fubulatis triquetris, floribus quadri- fidis. Linn, Sp. PI. 104. ' 1 Vo Li LIV. T 2059 Afiragalus [ «3» ] -20!J9 Aftragalus (Chinenfis) caulefcens procumbens, capitulis pedunculatis, leguminibus prifma- ticis redtis triquetris, apice fubulatis. 2060 Boerhavia caule diffufo. Linn. Sp. PI. 3. 2061 Caucalis umbella trifida, umbellulis triipermis involucris triphyllis. Hort. Cliff. 91. 2062 Ceraftium foliis lineari-lanceolatis tomentofis, pedunculis ramofis, capfulis globofis. Caryophyllus holofteus tomentofus angufti-fo- lius. C. B. P. 210. 2063 Chionanthus pedunculis trifidis triflorisl Linn. Sp. PI. S. 2064 Convolvulus foliis lanceolatis tomentofis, flori- bus capitatis, calycibus hirfutis, Caule eredti- ufculo. Linn. Sp. PI. 224. 2065 Cytifus floribus capitatis, ramis decumbentibus. Prod. Leyd. 376. 2066 Dracocephalum floribus verticillatis, bra&eis oblongis ovatis integerrimis, corollis majuf- culis nutantibus. Hort. Upfal. 167. 2067 Echium corollis flamine longioribus. Linn. Sp. PI. 140. Echium ampliffimo folio Lufltanicum. Tourn. Inft. 135. 2068 Erigeron pedunculis alternis unifloris. Hort Cliff. 407. 2069 Euphorbia inermis fruticofa, foliis lanceolato- linearibus, floribus eredtis, capfulis glabris. 2070 Euphorbia umbella quinquefida trifida dicho- toma, involucellis ovatis, foliis lanceolatis, capfulis lanatis. Lin. Sp. PI. 460. 2071 Ferula foliis pinnatifidis, pinnis linearibus pla- nis trifidis. Hort. Cliff. 95. 2072 Ferula 2 C *39 ] 2072 Ferula durior feu rigidis et breviflimis foliis. Bocc. Muf. p. 2. Tab. 76. 2073 Galium foliis odonis linearibus fulcatis, ramis floriferis brevibus. Hort. Cliff. 107. 2074 Gypfophylla foliis lanceolatis fubtrinerviis redfis. Linn. Sp. PI, 582. 2075 Hypericum floribus tetragynis, caule ereda. herbaceo fimplici, foliis integerrimis femiam- plexicaulibus. 2076 Hypochseris calycibus aequalibus hifpidis. Hort Cliff. 385. 2077 Ifatis foliis omnibus dentatis. Linn. Sp. Pi. 671. 2078 Lantana foliis oppofitis fubfeflilibus, floribus racemofis. Linn. Syff 1 1 1 6. 2079 Mefembry-anthemum foliis triquetris acutis pundatis diftindis, calycinis foliolis ovato- cordatis. Hort. Cliff 220. 2080 Nigella piftillis quinis, petalis integris, capfulis turbinatis. Linn. Sp. PI. 753. 2081 Nigella piftillis denis corollam aequantibus. Hort. Upfal. 154, 2082 Nigella piftillis quinis, capfulis muricatis fubro- tundis, foliis fubpilofis. Hort. Upfal. 154. 2083 Oenanthe umbellularum pedunculis marginal libus longioribus ramofis mafculis. 62. 2084 Raphanus (Chinenfis) iiliquis torofis acumina- tis foliis integris. 2085 Rudbeckia foliis lanceolato-ovatis hirfutis, radii petalis bifidis. 2086 Rumex floribus dioicis, foliis cordatis amplexi- caulibus. . 2087 Scabiofa corollulis quinqueftdis, , foliis diffedis, receptaculis florum fubrotundis. . Hort. Cliff 31, T 2 2088 Scabiofa, 2088 .2089 2090 2091 2092 2093 2094 2095 2096 2097 2098 2099 2100 [ I4° ] Scabiofa corollulis quinquefidis radiantibus, fo- lds bipinnatis linearibus. Linn. Sp. PI. 101. Scabiofa ftellata folio laciniato minor five mari- tima. C. B. P. . Sifymbrium foliis pinnato-haflatis dentatis, 11- liquis eredis. Lin. Sp. PI. 659. Scandix feminibus nitidis ovato-fubulatis, um- bellis feffilibus lateralibus. H. Cliff, no. Scleranthus calycibus frudus patulis. Flor. Suec. 377. r .. Solanum caule inermi herbaceo eretto, tolns ovatis integris glabris, umbellis axillaribus. . Trifolium capitulis dimidiatis, foliis quinatis feffilibus, leguminibus polyfpermis. Hort. Upfal. 223. Trifolium leguminibus racemofis nudis mono- fpermis, caule eredo. H. Upfal. 223. Thalidrum caule foliofo fulcato, foliis hnean- bus carnofis. Dalib. Parif. 162. Veratrum racemo compofito, corollis patentil- fimis. Lin. Sp. 1044. . . . c .. Verbena tetrandra, fpicis capitato-comcis, tolns ferratis caule repente. FI. Zeyl. 399. Veronica fpicis terminalibus, foliis oppontis hne- ari-lanceolatis, acute ferratis, caule eredo. . Viburnum foliis ferrulatts ovatis acummatis glabris, petidis marginatis. Linn.Sp. 1 1. 304. XXIV. Oh- [ *+* 3 XXIV. Obfervations on the Eclipfe of the Sun, April r, 1764'- In a Letter to the Right Honourable James Earl of Morton, Pref R. S. from the Rev. Nathanael Bills, M. A. Savilian Profejfor of Mathematics at Oxford, and Aftronomer Royal. My Lord, Read May 10, A S I had reafon to believe, from a 1764.. calculation made from the belt hi- nar tables, that the north-weft limit of the annular appearance, in the late great eclipfe of the Sun, would pafs but a few miles to the South-weft of the Royal Obfervatory at Greenwich, I thought myfelf indil- penfably obliged, to leave Oxford, where my em- ployment then called me ; and to attend to an obfei- vation which might pofiibly be of feme confidence. And I had at the fame time an opportunity of paying my duty to their Royal Highnefles Prince Wiluam Henry and Prince Henry Frederick, who had fionified their intention a few days be.ore, of honoui- jpg the Royal Obfervatory with their prefence on that OCOn°the ift of April, foon after eight in the morn- ing, their Royal Highneffes arrived, and were pleafed to fignify to me, that it was their defire, notwith- ftanding their prefence, that the obfervations might be made with all poffible accuracy. Their Royal Highneffes were alfo pleafed to permit his excehen -j- [ J+2 ] the Neapolitan envoy extraordinary, the right honou- rable Lord Leigh, Dr. Morton, S. R. S. and feveral other gentlemen to be prefent. Early in the morning the iky Teemed to promife to he favourable to us; but before the time when the eclipfe was expeCted to begin, it became fo hazy that we almoft defpaired of making any obfervation at alL Howrever Mr. Reeve, the affiflant obferver, was pre- pared to obferve on the triangular leads, with a two foot reflecting telefcope made by Mr. Short, and on March 31ft, 2ih 5' 3" apparent time, he faw the firit impreflion made on the Sun’s limb by the Moon ; the iky being got tolerably clear a few minutes be- fore. Mr. John Bird,, mathematical initrument maker in the Strand, with a two feet reflecting telefcope made by himfelf, on the leads over the new cham- ber, did not fee the beginning, by reafon of a tre- mor, until fix feconds later. I myfelf was endea- vouring to obferve it with an excellent refraCtor of 15 feet focal length in the great room : but, having at that time a watery defluxion on my eyes occaiioned by a cold, I was unfortunately obliged to wipe my eye perhaps at the very time of the contaCl : for at 2 *h S' 3q// when I again applied my eye to the tele*, fcope and placed it on the objeCt, the eclipfe was fenfibly advanced. So that I apprehend the begin- ning as oblerved by Mr. Reeve to be very near the truth. It had been before agreed that Mr. Reeve, to whofe eye the reflecting telefcope had been adjufted when armed with Dollond’s micrometer, fhould ob- ferve the quantity of the lucid parts, as they decreaf- ed before the middle, and alfo as they increafed after the C *43 ] the middle was pad: j while Mr, Bird and myfelf, with the old micrometer applied to the 1 5 foot tube, fhould meafure the Moon’s diameter as feen upon the Sun : But unfortunately, fome time before the middle of the eclipfe, the hazinefs became fo very thick that we loft fight of the Sun for many minutes. But as foon as the clouds began to difperfe, Mr. Reeve ob~ ferved the lucid parts as under, but did riot afcertain the time at either obfervation. 2' 55". 5—3' °"> 2—3' 28"> 7—3' 47". 6 with feveral others that increafed much fafter. By a mean of fix obfervations made (as near the middle as the clouds would permit) both by Mr. Bird and myfelf, the extremes of which did not differ fo much as 3", the Moon’s equatorial diameter was found to be 29' 454." as feen on the Sun. As the obfervations of the lucid parts were mad® as faft as the numbers of the micrometer could be read off, and as the difference increafed but flowly at. firft, we will fuppofe the two firft obfervations to have been made not long after the time of the mid- dle, and at the time of the firft obfervation, the Sun was at leaft eclipfed 10, 9 digits* The Sun’s horizontal diameter, as obferved by Mr. Reeve, with the fame micrometer, on the day be- fore, and on the morning of the eclipfe, was 31' being a mean of fix obfervations not fenfibly dif- fering. About 1 1 o’clock the hazinefs became fo thick that no further obfervations could be made, nor, at the time when the end was expected, could the Sun be feen. At [ »44 ] At the obfervatory of the right honourable the Earl of Macclesfield at Shirburn Cattle, the begin- ning of the eclipfe was obferved at 2ih o' 48" ap- parent time by one obferver, and but one fecond later by the other. And the end was. obferved at 2311 c6y 10" ; but this laft obfervation is marked as very doubtful, the air being extremely hazy. If your Lordfhip fhould think the above obfer- vations worthy of the attention of the Royal So- ciety, and will be pleafed to communicate them to that learned body, it will very much oblige, My Lord, Your Lordfhip’ s and their moft obedient humble fervant, Nathanael Blifs. t j i : ? XXV. Ob- [ 145 3 XXV. Obfervations on the Eclipfe of the Sun, April i, 1764: In a Letter to the Right Honourable James Earl of Morton, Pref R. S. from the Reverend Thomas Hornlby, M. A. and Savilian Profejfor of Afronomy at Oxford. My Lord, Read May IO, y Take the liberty to tranfmit to your x764* y Lordfhip the following obfervations of the great eclipfe of the Sun on the ift of Apiil laft, in hopes that your Lordfhip may think them not un- worthy of the attention of that learned body, over which you prefide. On the morning of the ift of April, the heavens were fo uncommonly ferene, that I could not but flat- ter myfelf with the hopes of a fky very favourable to obfervation. But about eight o clock a hazinefs began to appear, and feveral clouds to aiife from the South-weft, which at fmall intervals deprived us of a fight of the Sun ; thefe clouds however went off entirely to the North-eaft, and the Sun’s limb appear- ed very nicely defined, and without the leaft undu- lation, through an excellent refraCting telefcope of 1 2 feet focus made by Mr. Bird, to which had been ap- plied a fyftem of 'eye-glafles flmilar to thofe ufed for reflectors, and the ufual aperture of which had been Inch. contracted to 1, 2. I continued to keep my eye very attentively fixed upon that part of the Sun s limb, Vol.LIV. U where I *46 ] where I expe&ed the Moon would make the fir ft im- preffion; and at 8h 59' 33" apparent time, faw a very flight alteration on the Sun’s limb, which I flat- ter myfelf may be confldered as the time of the be- ginning of the eclipfe very accurately afcertained ; lince a gentleman then prefent, with a reflecting te- elefcope of 1 8 inches, faw that the eclipfe was begun about 6" later by the fame clock. As the eclipfe advanced, I propofed to meafure both chords and the quantity of the -lucid parts with a reflecting telefcope of 9 inches, armed with a mi- crometer executed by Mr. Dollond himfelf,and which was very obligingly left me for that purpofe by my worthy collegue the reverend Mr. Blifs. >And ac- cordingly at 9h 37' 1.7" apparent time (as are all the times hereafter mentioned) I meafured the chord of the part eclipfed and found it = 25' 45", 8. At 9h $o/ 2.4!' the unobfcured part of the Sun was — 13' 17", 7; and at ioh 3' 39" = 8' 33", 8. At the time of which obfervation the colour of the fky was remarkably changed. At ioh 19' 15" I determined, by the old micro- meter applied to the 1 2 foot tube, the quantity of the lucid parts to be 3' 45" : but, as I found fuch mea- furements could not be taken with that inftrument, without great difficulty, I immediately endeavoured to determine, by the other micrometer, the quantity of the Moon’s horizontal diameter as feen upon the Sun, and found it, by a mean of three obfervations, hardly differing from each other, to be 29' 45//, 1. It was formerly a difpute among the aftronomers, whether the Moon’s diameter did not appear lefs when viewed upon the Sun, than when feen upon a darker •[ *47 ] darker ground. The obfervations of Mr. le Mon- nier in Scotland, in the year 1748, fecmed to leave little room for doubt : and it is to be hoped that ob- fervations made with larger and better indruments than mine, and in places where the eclipfe was an- nular, or nearly fo, will fully fettle this point. At the time of the middle here, the Moon’s centre was about 39 degrees high, and therefore the Moon ap- peared under a greater angle to the eye of the obferver than if feen from the earth’s center, by about 1 8 fe- conds. The true horizontal diameter from the above obfervations was therefore 29' 27"; which is but 7" lefs than according to the lated and bed tables ; which tables may perhaps give the Moon’s diameter too large, becaufe condrudted from obfervations made with refracting telefcopes, through which the diame- ters, both of the Sun and Moon, mud neceflarily appear under an angle fomewhat enlarged. About the time of the middle of the eclipfe, I care- fully attended to the didance of the cufps : becaufe, from fome calculations which had been laid before the public, the Northern limit of the annulus was to pafs within 4 or 5 miles of this place ; and by other accounts I might have expected to have found myfelf condderably within the path of the annular penum- bra. But as nearly as I could edimate by my eye, the didance of the cufps was not lefs than 4 of the whole circumference of the Sun. The quantity of the Sun’s light was now very fenfibly diminifhed ; a very didinct halo was feen at the didance of 12 or 14 degrees round the Sun; and we might have ex- pected to have feen the planet Venus, had not the Iky been covered with a condderable hazinefs. As U 2 this C 148 ] this hazinefs continued,, I began to fear that I might be prevented from obferving the end, and therefore meaiured, as carefully as unfavourable circumftances would permit, the following chords. h / // , , ' " At 11 33 56 chord = 19 52, 5 11 40 25 = 16 27, 9 1 1 42 7 = 15 5 11 45 7 = J3 46» 0 1 1 46 57 =12 9, 4 But the Iky began to clear up ; and at 1 ih 58' 3" by the clock, or nh 54' 204" apparent time, I ob- ferved the end, which I believe may be depended upon to 3 or 4 feconds. , About 20 minutes after the Sun had palled the meridian, 1 meafured the Sun’s horizontal diameter with Dollond’s micrometer, and found it =3.2' o", 8". At feven o’clock in the morning, a Fahrenheit’s thermometer, made by Mr. Bird and placed in the fhade, flood at 424 degrees. At f 32' I expofed another thermometer of the fame fcale to the direct rays of the Sun. In five minutes the mercury role from 43 to 59. At 7h 44' it flood at 674 ; and a- bout twenty minutes before the eclipfe began this thermometer had rifen even to 84. During \ [ 149 1 During the time of the cclipfe the following obfer- vations were made on each thermometei. Apparent time. h // At 9 ii 9 3° 9 38 9 52 IO 14 10 32 10 44 10 50 11 20’ > 1 1 37 12 10 For feveral minutes before and after the middle of the eclipfe, the air was very fenfibly colder. I am, my Lord, Your Lord flii p’s mod obedient humble fervant, Thermometer Thermometer in the fhade. in the Sun. 53 62 53 534 7°4 524 69 5*4 6oJL- 4 494 534 49 53 ' 494 544 51 4 59 534 634 554 664. Oxford, April 3$s- 1764. Thomas Hornfby. XXVI. Qb~ C *50 ] XXVI. Obfervations on the Eclipfe of the Sun, April r, 1764: By Matthew Raper, Efq\ F. R. S. Read May i7, r l" ^Horley Hall. Lat. 51* 50' 45" N. 1<64- J| Long. 38!. eaft of Greenwich. 1764. Mar. 17. d immerged into the true fhadow at h m s IO emerged out of the fame at 13 Mar. 31. o eclipfe was be- gun above a minute at — Ended April 1 at — o 41 — apparent time. 25 ~ 8 o apparent time. 1 45 or 48. Obferved with an 8 foot refractor. \ XXVII. : lalie XXVII. A Table of the Places of the Comet of 1764 discovered at the Qbfervatory of the Marine at Paris, the 3 dof January, about 8 o'clock in the Evening , in the Conftellation of the Dragon, concluded from its Situation objerved with regard to the Sta? s : By Mon- jieur Charles Meffier, AJlronomer at the Depot of the Plans of the Marine of France, at Paris. 1764 Jan 3- 10 II *4 16 iS J9 20 22 29 . 3° Feb. 4 7 8 11 True time. h . /. • 9 24 33 15 5 4 i3 48 55 16 10 39 iS 33 53 6 43 27 30 54 33 58 18 28 7 6 5 6 5 6 5 6 6 6 7 7 8 32 53 5 43 H 7 »3 J5 0 35 *9 7 26 11 5 4° 32 7 4 45 42 8 50 20 49 5° 11 16 5° 59 2.52 57 53 30 23 16 20 14 49 Read May 1764. mean time R.afcention Northern Longitude ob- Northc -a obferved. declinati- ferved. latitude on abferv. obferved* h 0 / ,.r 0 1 it 0 / ... 0 ! tf 9 29 9 236 29 16 58 32 58 1 1 37 16 72 53 48 M 9 47 *39 45 31 58 51 29 14 49 7 74 22 13 18 53 42 24 1 56 1 59 2 54 17 9 14 7J J9 5° 16 iS 28 3°5 57 17 44 23 10 vW 29 0 S8 60 41 4i 18 41 44 306 22 0 44 6 14 X 29 r5 54 60 18 20 6 51 3 1 308 J4 2. 1 42 45 45 0 2 r 59 58 28 49 7 3? 59 308 20 1.7 42 42 35 0 26 X9 58 23 5* 18 26 48 309 5° 41 41 22 54 1 7 3 1 56 42 7 17 17 22 316 59 44 34 37 35 4 23 15 ,48 8 16 18 41 iS 3X7 5 44 34 3° 37 4 25 12 47 59 5° 5 5* 48 3i7 53 29 33 39 23 5 8 47 47 6 48 7 22 5» 317 59 44 33 3 1 5° .5- 20 1 1 47 1 47 6 45 15 319 28 52 31 5' 34 5 22 5 1 44 44 33 7 35 58 3X9 32 37 31 48 41 5 24 5s 4t 40 44 5 51 8 321 5 2 36- 28 45 54 6 9 39 41 4 3 7 15 22 321 56 2 1 28 40 52 6 10 49 40 5S 8 7 53 4 322 57 8 27 *7 25 6 29 47 39 x9 57 7 1 34 323 46 38 26 5 33 6 43 22 37 5 6 17 6 1 38 325 9 52 23 49 1 7 0 56 35 20 54 6 23 4 325 10 22 23 47 57 7 0 57 35 19 45 6 4 23 328 9 59 17 28 48 7 7 46 28 2S 8 6 iG 28 328 23 44 16 42 10 7 1 12 27 36 59 6 12 8 329 17 41 13 1 1 38 6 26 10 24 2 24 6 44 54 329 33 Si 1 1 6 J5 5 5° 20 _ r 22 0 9 6 3° 54 329 39 35 10 26 47 5 41 10 2 1 21 2 5. 6 29 28 329 4i 27 9 2 46 5 10 5 20 2 34 I have the honour to fend you like-wife the elements of the theory of this comet, which monfieur Pingre has ueduced from my firft obfervations, as follows. s ° > n The afeending node $1 — 3 29 z0 Inclination * ““ 53 54 J9 . Place of perihelium _ “ 11 4 Logarithm of the diftance of the perihelium 9.751415*. Paffage by the perihelium 12 February at ioh 29' mean time m the meridian of Paris. The motion retrograde, [ *5I 2 * * * ] XXVIII. A Supplement to Monf Pingrc s Memoir on the Parallax of the Sun : In a Letter fro?n him to the Royal Society , ‘Tranjlated by M. Maty, M. Z). F» R* S» Gentlemen, Read May 1 7, y Had the honour to fend you my me- !764* y moir on the Parallax of the Sun as de- duced from the obfervations of Venus } give me leave to add to it fome remarks which I have fince made, and communicated to our academy. The learned Societies of Europe, amongft which yours holds a moft diftinguifhed rank, will be the judges of the fuccefs of our expeditions. A definitive decifion wnJ probably not be formed till after the obfervation of the tranfit of 1769; in expectation of further ac- counts, which may tend towards this decifion, there is at leaft one which I now fubmit to your ex- amination. Supplement to my Memoir on the Parallax of the Sun. I impatiently expected the firft volume of the Philofophical Tranfadions of the year 1761, where I hoped to find fome obfervations that might deter- mine which of the obfervations, viz. that of Mefl. Mafon and Dixon made at the Cape of Good-Hope, or that which was made at the ifland Rodriguez by Mr. Thuillier and myfelf, deferved the preference. The firft reduces the Sun's Parallax to 8 f at moft, v C r53 ] whereas the latter increafes it to near 10" L\ the dif- ference is too confiderable not to deferve an enquiry into its caufes. The expected volume is at lad come to hand ; and my firfl care has been to examine with the in od fcrupulous attention the obfervation made at the Cape. I owe this testimony to truth, that this obfervation, as well as all the others of Me IT. Maion and Dixon, appears to me to have been made with great judgment. An exception might however be made as to the extenfive delcription of an appulfe ot cr Sagittarii to the Moon’s, fouthern limb, which is found page 389. This certainly was moie than an appulle, and the dar was really immerged at the Cape. In this fame volume, I found two obfervations, which would be decilive, if time and othei circum- flances had permitted them to be made with luffici- ent accuracy. I have very carefully calculated them both. Mr. Mafkeline obferved at the illand of St. Helena, fituated at 1 5*55' South latitude, and ac- cording to Dr. Halley at 33' 17" of time Wed of the Obfervatory at Paris ; but this determination of the longitude does not feem fufficiently exadl. I have compared many obfervations of Jupiter’s Satellites immerlions and emerlions made at the illand of St. Helena by Mr. Mafkeline with the correfponding ones made at Paris at the Marine Obfervatory by Mr. Meffier, and have only found 3 1' 56" for the differ- ence of longitude between the two places ; and as the Marine Obfervatory is 2" Ead of the Royal Ob- fervatory, I think I may conclude that the place where Mr. Mafkeline obferved is only at 31' 54^ Wed of the Royal Obfervatory. Vol. LIV. X The C *54 ] The clouds greatly obftruCted Mr. Madeline's oblervations ; he could make but one that was ufe- ful. At yh3i/o7// in the morning, apparent time, the bodies both of the Sun and of Venus being per- fectly well defined, the diftance of the neared limbs was, by means of an objeCt-glafs Micrometer adapted to a reflecting telefcope according to Mr. Dollond’s invention, found to be I have computed that by allowing io" for the horizontal parallax of the Sun, from that phalis to the internal contaCt of the limbs, there muft have pafied 34' 52" at St. f Ielena ; I have even allured myfelf, by fome other calculations, that, by an alteration of one or two fe- conds in the parallax, and of feveral minutes of time in the longitude of St. Helena, the interval which 1 have juft now determined would fuffer an increafe or diminution but of very few feconds. The internal contaCt of the limbs muft therefore have happened at St. Helena at 8ho5/59// in the morning. One can’t fuppofe it to have happened later, becaufe 17' after, or at about 8h2 3', the Ikies having cleared again, nothing more could be feen, and the external contact was over. This obfervation being compared with that of Tobollk, would give 1 l'Tor the horizontal par- allax, which is a little too much. Mr. Mafkeline obferves, that tho’ Venus’s limb and the Sun’s appeared as defined as could be defired, yet when the artificial internal contact of Venus’s limb with the Sun’s was made by means of the object-glafs micrometer, Ve- nus’s limb dilated and contracted itfelf alternately, getting and lofing a fmall fpace within the Sun’s limb. He adds, that he endeavoured to take it in the middle of this vibration, but dares not affirm that he ex- [ JS5 3 a6tly did fo. Let the diftance determined by Mr. Maikeline be only diminished by 2", and his obser- vation will perfedtly agree with mine ; but in order to make it tally with that of the Cape, it would be neceffary to diminish this diftance by 10 or 1 1", and it is not very likely that Mr. MaSkeline Sliould have committed Such an error. His observation might likewiSe be brought to coincide with mine, by mak- ing a diminution of 40 or 45" in the Weftern longi- tude of St. Helena, as I juft now fettled it ; whereas it would be neceffary to take Several minutes from that longitude in order to make the observation agree with that of the Cape, which does not Seem pofiible. Hence, though I don’t take Mr. Malkeline’s obser- vation5 to be*in itfelf absolutely decifive, yet I am perfwaded that it adds great weight to the exadtnefs of mine. Fort St. George at Madrafs is, according to Mr. Hirft, 1 3d 8' North latitude and 3' 4" of time Eaft- ward of Pondicherry, and consequently at leaft 5h 1 2' 54" Eaftward of our Obfervatory’s meridian. Mr. Hirft’s observation is related in the Philofophical Tranf- adtions ; the interval obferved by him between the two internal contacts was 5*51' 4$", greater by 2'49//j|: than that which was obferved at Tobolfk. This would give 9" 56 for the Sun’s horizontalparallax, a quantity which is about a medium between the Cape observation and mine. The comparison between the time of observing the contadts, and that of the cor- responding observations made in other places, gives conclusions fo vaftly different, that I dare not relate them here. Mr. Hirft gives a Sufficient account of his instruments, but he does not fay whether his X 2 pendulum [ js6 ] pendulum or clock was one with weights. He fays he regulated his clock by equal altitudes, and then by meridional pafiages of Spica Virginis, and of the Sun ; but why did he leave off the method of the equal altitudes which he made ufe of at firft, and in what manner did he obferve thefe altitudes to deter- mine the paflage either of a fixed flar or of the Sun over the meridian ? It does not appear that he had a quadrant or tranfit inftrument. I am forry that this uncertainty about the means employed by Mr. Hirff to determine the time of the phafes puts it out of my power to make ufe of an obfervation, which might otherwife have been extremely ufeful, had the aftronomer been equally well provided with inftru- ments as he appears to have knowledge and zeal. It is to be obferved that by increafing or diminifhing by io" the duration obferved at Madrafs, the quef- tion of the parallax will be decided conformably ei- ther to the obfervation of Rodriguez or that of the Cape. In the fame volume of the Tranfadtions, are fome obfervations of the fame tranfit made at Abo and at Hernofand ; the total duration was obferved in both places ; it may have been lengthened fomewhat be- yond its limits ; but thefe obfervations agree at leaf! in this point with all the others that were made in the North, viz. that being compared with the To- bolfk obfervation, with regard to the duration of the tranfit, they give above i o" for the horizontal par- allax of the Sun. I have likewife lately had the communication of Mr.Rumowfki’s obfervation made at Selenginfk in Si- beria. 1 fliall not expatiate upon the particulars here, 2 fuppofing [ 1 57 ] fuppofing that you Gentlemen have received it. The latitude of Selenginfk is 5 id6/6//. I have fettled the longitude to be 50" from the Paris meridian. Some immerfions of the firft and fecond fatellite of Jupiter have given me 6h57'i5//, 6h57/2o'/, and 6h58/3 1", by comparing the obfervations of Mr. Rumowfki with the tables corrected upon the obfer- vations made at Paris and at the Cape, and eftimat- ing, as well as I was able, the different effects of the reflectors and telefcopes. The 15th of July, Mr. Le Monnier obferved the meridional tranfit of

the diftance from the zenith being 75d22/20//. I have obferved at Rodriguez the immerfion of cr Sagittarii at 14^0 \.' 2W' 1- apparent time, and Mr. Rumowfki obferved at Selenginfk the immerfion of <£> at nh24/5i// apparent time. Upon comparing all thefe things together, I find the lon- gitude of Selenginfk to be 6h57'2 i//i. Ea ft from Paris. But this goes upon the fuppofition that the error of the tables has been quite conffant during near 7 hours, which cannot be warranted. Laftly, the obfervation of the eclipfe of the Sun made at Selenginfk June 3, 1761, compared with the fame obfervation made at Toboifkand at Cajanebourg, determines the longitude of Selenginfk 5hi6/4i//-L Eaff from Cajanebourg, and at 2h3 4' 3 o' ' Eaff from T obolfk;confequently 6h5 8X2 2 / Eaff, C js8 1 Ead from Paris. Thefe are the reafons which make me believe that the longitude of Selenginfk cannot be made lefs than (^S7' S°" from meridian of our Royal Obfervatory. This being fuppofed, the ob- fervation of Mr. Rutnowlki compared with mine would give io T for the horizontal parallax of the Sun in the month of June, and 1 0^26 for that par- allax when the Sun is at the mean didance. ’Tis true, the fame obfervation, compared with that of Medi Mafon and Dixon, would much reduce this par- allax’; and therefore it can be of no ufe to decide the quedion, unlefs we hadfome from Africa or from the adjacent feas. I have one, which I have not dared yet to lay be- fore our Academy ; it appears to me a downright phe- nomenon. As it was made at the ide of France or Mauritius, it might pretend to the glory of deciding between Meff. Mafon and Dixon and me ; but it is fuch a one as can only at mod; determine how far the difference of lights or that of telefcopes could ex- tend or fhorten the duration of the exit. I am ac- quainted with the obferver,Mr. de Seligny, an officer in the ferviceof the Ead India company; andl think I can anfwer for his capacity, talents, zeal and accu- racy. He had noindrument but an eight foot telef- cope, and an excellent clock: this he regulated by altitudes of the Sun taken the 5th and 6th of June with Hadley’s quadrant. That method is not dridtly true, but our oblerver could do no better; and belides, whether the clock went too fad by a few feconds more or lefs, the difference cannot at all affed: the duration obferved by Mr.de Seligny. His clock on the 5th of June about 3 o’clock advanced 18"; upon the 4 [ IS9 ] the apparent ; the 6th at the fame hour it got only 9". The obferver was obftruCted by the clouds till near the inftantof the exit of Venus. This is his obferva- tion of the exit ; the times are thofe of his clock,, from which z' 10" are to be fubftraCted to have the apparent time. At 6^2%’ the preceding limb of Venus appeared to touch exactly that of the Sun ; at oh22/oo// onequarter of her diameter was got out; at oh2 5/io// Mr. Seligny judged her to be half got out ; at oh2 8/o6// the three quarters of her diameter were emerged, and oh3i/i2// the exit was total and inftantaneous. Thefeobfervations follow one another very well, and they have been made by a man whom I know to be very fkilful ; but how the exit of Venus could appear to him to have taken up but 12^ 4" I muft leave to perfons fkilled in natural philofophy to account for. The obfervation of the firft contaCt, or of the internal contact of the limbs, would give you more than 1 z" for the parallax ; that of the lad; would reduce it to eight; by a medium, the parallax would exceed io7/. You will undoubtedly have obferved a pretty re- markable difference between my obfervations of Venus, as I had the honour to fend them to you from Lilbon March 6, 1762, and the fame obferva-- tions as I have related them in my memoir. I ima- gined I had fent the correction to fome one of the- members of your celebrated Society. When I made the reduction of thefe obfervations at Rodriguez, . I found myfelf under difagreeable circumftances ; and it was probably my uneafinefs at that time that occafioned a want of due attention, which I was the longer in finding out as I could not eafily fuf- [ i6° ] ped it. My clock went too flow that day at noon by 2/2//, To that I ought to have added i V' to the time of theclock, whereas I fubflraded as much from it. This is the reafon of the difference in the times. The fmall variation in the diflances of the limbs was owing to a finder verification of the parts of my micrometer. Paris, Feb. 14,1764. I am, with the mofl refpedful efteem, Gentlemen, your mofl obedient, humble fervant, Pingre. XXIX, A* C i6$ ] XXIX. An Account of the \ Tranfit of Ve- nus : In a Letter to Charles Morton, M. D. Secret. R. S.from Chriftian Mayer, S. J. ‘Tr (inflated from the Latin by James Parlous, M. D . Read Feb. 4, T Return you many thanks for the great 176z‘ j[ trouble you have taken in procuring Mr. Dollond’s telefcope for me ; which, happening to arrive very opportunely the day before the obser- vation, gave great pleafure to our Serene Ele&or : a very happy invention which England alone was ca- pable of producing ! but at it’s coming to my hands . I had no lmall concern, for fear all our apparatus fhould be rendered vain, as it was conflant rainy weather. A fquare mount of folid ftone which had been made into an arch, in the Electoral garden at Schwe- fmga by his Highnefs’s order, afforded us a bafis 5 in the middle of which another mount of like form was raifed five feet high, which Supported the agro- nomical quadrant : both were covered with a move- able covering, the building being carried round tnem. Two other fmall buildings of the fame conflrudion flood near this 5 in one of which IVli. Dollond s tel— lefcope was placed, and in the other the clock; hav- ing fo eafy a communication with one another, that a glance of the eye commanded them all. The aftronomical quadrant, which was ai. feet ra- dius Paris meafiire, was made in the year 1758, at Paris by M. Carinivet mechanical operator to the Vol. L1V. Y Royal / [ 162 3 Royal Academy, and has an Englifh micrometer ; having a moveable wheel, and divided into minutes; and by means of a fcrew to the index of the qua- drant, together with the divifion of the nonnius plate fattened to it, was fo applied, that during the whole time of the ohfervation, while the wire of the plum- met conftantly glided upon the fame point of the limb, it might be moved in the limb by a vertical motion in either direction by the alidad alone. This mott excellent invention of your’s I firtt brought in- to Germany, to the bett of my knowlege, after I had feen it’s power at Paris in the hands of the ingeni- ous M. Le Monier. Eefides the quadrant, Dollond’s telefcope, and fe- veral other attronomical tubes of 6, 8, 13, and 22 feet ; v/e had a Newtonian telefcope of 4 feet Auttrian meafure, with an eye glafs of 4- of an inch. We had a clock made by M. le Paute, a Parifian, very well defended from the rays of the Sun and from the" wind, which I accommodated to this bufinefs for a month before, in many celcftial obfervations with as much accuracy as I could, and with more fuccefs than we could well expeett. The interior contact of the wettern' limb of Venus, with the wettern limb of the Sun, obferved with Dol- lond’s telefcope — — The moment of the egrefs, wherein the fame limb of the Sun after the inte- / True time. h / // 20 53 8 rior contact firtt appeared cornicu- 1 20 53 35 lated, mott accurately obferved with the fame telefcope, was — — Whence I conclude, that the interior contact happened — a As } 20 53 33x C 163 ] As to the inftant of the exterior contadf, I fend only two obfervations made by me with certainty, becaufe of the intervening clouds : the firft /hews the time wherein I diftindtly faw through the clouds the certain emerfion of Venus, part of the diameter of Venus, as nearly as I could judge, excavating the limb of the Sun ; the other wherein, from the un- lucky clouds, I could no more obferve the leaft vef- tige either of the emerfion, or exterior contatft, or of Venus. True time. h / // The firft outer contact — — 2194 The other time of the certain emerfion — 24 17 27 The time which I ufe, and to which I am ftill at- tentive, was obtained by a great number of corre- fponding altitudes of the Sun, both before and after the day of the tranfit. But in order to the ren- dering my calculation perfect one thing is to be de- fired, that the longitude and latitude of the obfer- vatory at Schwezinga might be precifely determined, if poftible, in the fpace of a few months. The Serene Elector, although he was not well the day before, yet from his great love for aftronomy was not only prefent himfelf, which other kings and princes ufually are ; but being of an excellent and ready genius, he inftituted feveral obfervations with the aftronomical quadrant two hours before the egrefs, having marked the appulfes of the four limbs of the Sun and Venus at each immovable wire, in Y 2 order [ l64 ] order to find out the difference of the right afcenfion and declinations ; the weather being ferene from about half an hour after five to half after eight in the morning. Which pofitions, good Sir, if they may be acceptable, I will immediately fend you ; and likewife lome obfervations upon a total eclipfe of the Moon at which his Serene Highnefs and his whole court were prefent, together with two very refpectable perfons of the court, the illuftrious MelT. Holrinhaufen and de Stanger, both well lkilled in adronomical matters, who were appointed to be my affifcants in all thefe obfervations. Hence you will eafily perceive, that I am attached to the moil earned endeavour of pleafi ng fo great a Prince ; who, taking into his protection all kinds of learning, was the firft that introduced aftronomy into his country, the name thereof being unknown here for fo many ages. It will be a great fatisfaction to me if this our ob- fervation may obtain a place among the immortal mo- numents of your Society 5 that the future clafs of adronomers may retain a grateful remembrance of the mod ferene Charles Theodore Elector Palatine : and while I am, learned Sir, in expectation of this favour from the Royal Society, I humbly commend myfelf to your regard, being, Your mod humble fervant Dated at Schwezinga, 23 June, 1761. Chriftianus XXX. Ob- [ i6s ] XXX. Ohfervcitiones AJlronomkce Chriftiani Mayer, S, J. lllufirijjimo ac celcberrimo Viro ac Domino Carolo de Morton, Academics Regies Londinenfis a fecretisi S. P. dick Chriftianus Mayer, S. J. S. E. P. Ajiro- nomus. Read May 24, 1764. OBfervationem meam eclipfis Lunaris quam hie tibi fifto, quamque circa 2omam Martii Parifios jam miferam, ex refponfo clariffimi viri de la Lands, die 3 Aprilis ad me dato, audio Parifiis erroris 10 minutorum fufpedtam habe- ri, quibus ejas durationem jufto minorem collegifTem : cum enim ex initio et fine certo hujus meae oblerva- tionis inveniam quantitatem durationis 2h46/5i//, earn celeberrimus ephemeridum Parifinarum conditor de la Landius putat efts oportere 2h 56'. Non potuit, ut feribit laudatus aftronomus, eclipfis haec diei 17 Martii, nec ilia 1 Aprilis, ob nubes Lutetiae obfervari : potuit fortafle Londini, et Grenovici; quod li ita, om- nem facile controverfiam diremptam video. Si enim Londini initium hujus eclypfis acciderit ioh 31' circi- ter, cerium eft idem in meridiano Parifino 9 minutis orientaiiore accidiffe ioh 40' 4o//, ut habent epheme- rides Parifinaej fin minus, ft Londini initium hujus eclipfis obfervatum fuerit ioh 39' 5", perfpicuum eft errorem io minutorum cadere in ephemerides, et nequaquam in obfervationem meam, quae hac ratione ftatutae meridianorum differentiae ubique terrarum optime congruet : fiquidem ex aliis primi fatellitis Jovis [ 166 ] Jovis inftitutis eclipfim comparationibus Schwet- zingam invenio 31' in tempore Vienna occidenta- liorem. Quare cum rumor hie aulam noftram pervaferit, me in obfervatione eclipfeos -hujus lunaris 10 minutis aberraffe, ad te, vir celeberrime, mihi confugiendum fuit, quern hifee demifle oro, ut celeri refponfo, quid adtum fit Londini, quid Grenovici, mihi fignificare digneris. Rem quoque mihi feceris gratiffimam, fi ad me perferipferis, quae Tint meliores magifque ufitatae in Anglia cceleftes ephemerides pro annis futuris, qui tuis me favoribus toto animo demiffiffime commendo. Illuflriflimae tuae dignitatis Servus infimus Heidelbergae, 17 Apriiis, 1764. Chriftianus Mayer, S. J. SerenilT. Eledtor. Palatin. Aftron. Immerfiones [ i67 ] Immerfiones ct cmerfiones macularum 5 in eclipfi Lunas diei 17 Marjii, Schwefingae in Palatinatu prope Heidelbergam, obfervatas a P. Chriftiano Mayer, e S. J. tubo Dollondi 10 pedum. Tempus verum. h / // Penumbra ccepit — — - 1 1 324 Penumbra denfior =■ 8 1 1 Initium dubium 13 8 Eclipfis videtur coepifte 14 9 Mare humorum ftringitur ab umbra - 25 22 Mare humorum medium in umbra 27 24 Tycho incipit immergi 29 58 Tycho totus in umbra 3° 21 Grimaldus proximus umbras 31 31 Grimaldus et Schicardus in umbra — 34 1 5 Mare nubium ingreditur umbram 39 30 Gaflendus ad limitem umbras 41 20 In Tula finus medii in umbra 46 35 Landfpergius in umbra 47 33 Umbra Keplerum ftringit — 48 8 Keplerus ultra dimidium in umbra 51 3 Keplerus totus in umbra -■ ■■ 52 4 Copernicus ftringitur ab umbra 59 15 Copernicus totus in umbra 12 2 26 Mare fcecundatis fere medium in umbra 6 40 Mare tranquil 1 itatis incipit — — • 8 43 Palus fomnii incipit efle in umbra 10 16 Mare tranquillitais ultra med. in umbra 13 55 Taruntius totus in umbra 18 14 Plinius et Meneiaus ad umbram ■ — — 20 18 Mare ferenitatis ftringitur ab umbra 22 23 Proclus [ i68 ] Tempus verum. h Proclus ad umbram ■■■■> Mare Crifium ultra med. in umbra Mare Crifium feu Cafpium tot. in umbra Mare ferenitatis med. in umbra Copernicus incipit egredi — Copernicus dimidius ex umbra . Limbus umbras ftringit Copernicum Menelaus emerfit . Manilius videtur egredi Mare humorum med. ex umbra Manilius videtur egreflus Mare ferenitatis extra umbram 12 J3 Mare tranquillitatis ultra med. emerfit Langrenus emcrgit cum Dionyfio Mare foecunditatis fere tot. emerfit Langrenus certo ex umbra Videtur umbra mixta luci Finis eclipfis dubius Finis certus Penumbra refidua Finis penumbras . ■ H / 27 32 38 41 J« 59 I 8 1 1 T3 Sinus aeftuum et mare humorum tot. ex umbra Mare nubium medium ex umbra Mare Cafpium egreditur Umbra paludem fomnii deferit Tycho emergit cum dimidio mari Crifio Tycho certo emerfit Taruntius videtur egreflus 'i 44 1 28 35 57 57 2r 35 45 H 51 1 7 2 25 41 J5 38 20 23 25 3o 32 30 35 49 41 27 46 7 6 47 2 5 52 18 55 59 0 1 3 4 22 1 1 1 1 o 10 o Pi aster has maculas, a me di men fas fun t phafes 20: ct tempore maximce obfcurationis i2h 37', inventa ob- feu ratio [ i69 ] feu ratio maxima 23884. partium micrometri (quod tubo feparato 6 pedum accommodaveram) quarum diameter Lunae in venta eft 33 13 = 33/49"; undemeo quidem calculo obfeuratio maxima deducitur 8 digit, 39 minut. Obfervatio eclipfis Solaris fadla Schwetzingse in ob- fervatorio Eledorali anno 1764, die civil. N. S. ima Aprilis tubo dioptrico 6 pedum micrometro armato, ccelo fereno, barometro 27 pollic. 2 lin. praefentibus illuftr. et excell. D. D. O Dunne Miniftro Galliae, et Comite de Riancour Legato Saxoniae. IMMERSIONES, Tempus verum. ' " C videtur eclipfis 21 4° 4i Jcoepiffer 43 48 56 az 4 6 5 duplex cornu 2 \ fenfibile. *3 4 S3 9 33 5a 9 43 II 22 *4 *9 39 46 23 43 25 13 33 *6 38 26 4* 4° 48 6 52 40 55 *+ 58 1 7 33 54 3 30 56 V o l. LIV. Partes centef. difei © obfeur, menfurantes fa- gittam ad chor- dam duo cornua fecantjm nor- mals. 1x3 157 251 418 449 508 536 611 Partes centefi- mae difei Qlu- cidi. 7*51 z 1751 1709 1468 1^73 3x62 9S7| 861 762 638 574 5*3 416 409 10 dig. 25! min. EMER- [ I7° ] EMERSION e s. Tempus verum. / // a3 *3 4° 14 o i8 59 ai 49 24 36 27 21 3i 33 33 S3 37 29 40 4s 43 58 50 ss , S3 43 h S7 48 o 2 29 9 4 34 20 37 38 25 17 27 20 33 4Z 37 16 43 o Partes centef, difci O obfcur, menfurantes fa- gittam ad chor- d am duo cornua fecantem nor- ma lis. 494 434 311 259 252 no finis certus eclipfis. Partes centefi. mae difci Q lu- cidi. 414 421 540 621 705 777| 890* 986 1094 1209 *367 15^6a 1606 x7z9? i86o| 2062 Diameter folis in partibus centefimis micrometri probe vermcati 3117 — 32' 4", 8. Nondum licuit pbafes has omnes acuratius exami- nare; quarum priores immerfionis, in maxima homi- num frequentia, minus exadaefunt. XXX. Ob - [ 171 ] XXXI. Observations on the Eclipfe of the Sun at Chatham, April 1,17 64, by Mr . Mungo Murray: Communicated to jofeph Salva- dor, Efq\ F. R. S. in a Letter from Dr . John Bevis. Sir, Read May 24, IT Fancy I can now fatisfy your curiofity I?64’ A as to a place in the northern limit of the path of the Moon’s Ihadow, in the eclipfe we obferved at your houfe ; that is, where the lower limbs of the Sun and Moon coincided, by the fol- lowing abftradt from a letter I received from my friend Mr. Mungo Murray of Chatham, a good ma- thematician, and author of an excellent work on fhip-building. “ I am infinitely obliged to you for your kind « prefent of the telefcope glafles. I got them moft “ curioufly mounted, and, as you faid, they make « a 12 foot telefcope, which takes in the whole Sun « nearly. I fet my watch by a very good vertical “ fun-dial, precifely at 9 o’clock, and at 8 minutes S. Read May 24, T "\R, Wade, an eminent phyfician at I/64' J / Lifbon, having lately communi- cated to the London Medical Society, a number of caffes, in which the extract of Hemlock prepared at Coimbra in Portugal, had been given with extraor- dinary fuccefs, and having fent me at the fame time fpecimens of the luccefsful extract, and alfo of the extra&s of Hemlock prepared at Lifbon and by Dr. Storck’s Apothecary at Vienna, which two laft-men- tioned extra&s he had prefcribed for the fpace of three years, in various disorders, to little or no effedt; I thought an experimental inquiry into the com- ponent parts of thefe extracts and that ufed in Lon- don might be attended with fome ufeful or curious confequences ; more efpecially as this medicine was near loling its credit intirely, from its little fuccefs here in thofe diforders in which it had been moft ftrongly recommended by Dr. Storck. I think it not unneceffary to premife farther, that the extract pre- pared at Coimbra is not fo moift as the other extracts, and that it has been given for a confiderable time at the dofe of a drachm and a half twice a day with- out producing the lead; difagrecable fymptom. E X- [ r73 ] EXPERIMENT I. 24 grams of the extract of .Hemlock- prepared at Coimbra, di gelded with an ounce of highly rec- tifyed fpnit of wine for 36 hours in a warm room, gave a brownifh yellow tindure ; the clear liquor be- in? poured oft, a frefh quantity of fpirit was added as^ before, and expofed to digeftion for the fame fpace of time ; the fecond tindure was confiderably lefs coloured j this, added to the former tindure, was fil- tered, and expofed to the air in a warm room until the fpirit was intirely evaporated ; the dry re- fiduum weighed five grains ; on expofing it to the air it became lofter, and even moift at the furface. On pouring fome water on the refiduum now moift, it was foon tinged of a brownifh yellow, which being poured off, and a frefh quantity added at different times, until an ounce and a half of wa- ter had been ufed, there remained fome blackifh matter not foluble in water, which when dry weighed one grain, did not attract the moifture of the air, melted and burned with a bright flame when ex- pofed to the hre, was foluble in fpirit of wine, and had every charaderiff ic of a rezin. The tinged water, which had been feparated from this rezin and filtered, was evaporated flowly, until a brown dry matter remained weighing three grains, which in afew hours attracted themoiffure of the air, and relented into a dark brown thick liquour, of a feline tafte, and the fmell peculiar to the extrad of Hemlock. One drop of this liquor, diluted with a little water, deflroyed the colour of ten times the quantity n [ *74 ] quantity of fyrop of violets, without giving it the lead red tint; reducing it, on adding fome drops of ole- um tartari per deliquium, it fuffered no remarkable change. Spirit of fait did r.ot occafion any alteration in it. But with oil of vitriol there was a ftrong effer- vefcence, without any fenfible fume. It appears from the above experiments, that the Co- imbra extradt of Hemlock contains one fifth foluble in fpirit of wine, i-ths of which confifl of an oily eflential fait, the remainder being a refin. EXPERIMENT II. The extradt of Hemlock from Vienna was fofter than that from Coimbra; on breaking it, there ap- peared fmall whitifh ffreaks on each furface. 24 grains of it, treated as in the former experiments with fpirit of wine, gave a fine deep green tindlure, which on evaporation gave a refiduum of a dark green towards the edges of the cup and a dark brown towards the middle; the whole refiduum when dry weighed two grains and jj. ; on leaving it expofed to the air, the brown matter attracted moifture from it and relented into a thick brown liquour; on adding water to it, as in the experiments on the Coimbra extradt, the folution was of a light green colour ; on evaporation it gave J^ths of a grain of dark brown refiduum, which ran per deliquium into a brown liquour, differing only in colour from that obtained by a fimilar procefs from the Coimbra extradh The undiffolved refinous matter weighed 4 grain, was of a greenifh colour, but in other refpedts like the refin of the Coimbra extradt. It appears from the green tindlure [ *75 ] tindture communicated both to water and redtifyed fpirit by the Vienna extradt, that the Hemlock had been gathered too foon, and before the plant was in vigour. E X P. III. The fpirituous tindture of the Lifbon extradt was not fo green, nor was the green fo durable, as that of the Vienna extradt: the phenomena, in confequence of the other experiments, did not differ materially from thofe of the Vienna extradt. EXP. IV, The fpirituous tindture of the extradt of Hemlock prepared at the Apothecary’s-Hall, was like in co- lour to that of Coimbra, but the refiduum did not differ confiderably from that of Vienna and Lifbon. This extradt has been ufed with fome fuccefs at the Weftminfter-Hofpital. EXP. V, The fpirituous tindture of the powdered leaves of Hemlock was like in colour to the laft ; the refidu- um differed materially from that of the former ex- tradts only in its rezin’s being confiderably more fluid. Thefeexperimentsfhew that the extradt of Hemlock prepared at Coimbra contains a far greater quan- tity of an effential oily fait and rezin, than the other extradts. As the oils, faltsand rezinsare the moft adl- c ive [ 1 76 ] tive parts of vegetables, may not the well-attefled fa- lutary effects of the Coimbra extrad be owing to its greater quantity of thefe adive principles, particularly if we confider the large dofe it has been prefcribed in ? As thefe adive oily falts and rezins are foluble in fpirit of wine, we have the means of obtaining them from the extrad of our own Hemlock in fuffi- cient quantities for ufe, and without fatiguing the flomach with the naufeous inadive parts of the extrad. But as experience alone can fhew whether the virtues of the Hemlock refide in the whole extrad, or in the faponaceous parts foluble in fpirit of wine ; 1 fhall content myfelf with propofing thefe few hints, until experiments fhall enable me to lay the other confequences of thefe affays with proper weight be- fore the Society. XXXIII. An [ 177 ] XXXIII. Effay on the Ufe of the Gangli- ons of the Nerves : By James John (lone, M . D. Communicated by the Right Rev . Charles Lord Rifloop of Carlifle, and F. R. S. Read May 3 1,/ g A H E Ganglions of the incercoftal I?6+ J[ nerves, firft difcovered by Fallo- pius, are oblong and very hard bodies ; the ufes of which have not been fatisfadorily afcertained by any one. Few anatom ifts have indeed entered deep into the fubjed, except the learned J. M. Lancifi, who imagined them mufcles fui generis, and, like other mufdes, capable of contradions ; by which he thought the nervous fpirits were acclerated and impelled with fuch additional forces, as are by him fuppofed neceflary to the produdion of motions in mufcles fubjed to the will : And in order to give an idea of the ftrudure of all other Ganglions, he particularly defcribes and delineates that of the ftrft cervical Ganglion [a). This theory has the misfortune to be erroneous in its foundation. For Haller and other fucceeding anatomifts have not been able to difcover this muf- cular apparatus in the firft cervical Ganglion [b). The coats of Ganglions I have found with the appearance and firmnefs of ligaments; but incapable of fuch extenfion or retradion, as elaftic mufcular fibres al- ways allow of. (a) See Lancifi’s Diflertation in Morgagni adverfar. (b) Halle , Element. Phyfiolog. Human. T. iv. p. 203. Vol. LIV. * A a Ganglions C *:8 ] Ganglions befides, inftead of being inftruments fubfervient to the will, are almoft peculiar to nerves, diftributed to parts, the motions of which are totally involuntary. And our author muft indeed have been greatly milled by his hypothecs not to obferve this linking circumftance. The theory, which prevailed in his time and coun- try, of the action of the dura mater upon the brain, now exploded, might lead this great man more en- tirely to believe an analogous mufcular power in Ganglions. But the brain needs no mufcular force to imprefs motion upon the animal fpiritsj and granting Ganglions to be, as is ingenioufly conjec- tured by Lancili and Window, fubfidiary brains, or analogous to the brain in their office, neither will they need any luch mufcular apparatus and force. A power, in fine, abfurd no lets than chimerical, as it fup poles the force of mufcles of the greateft ex- ertion and effed, to be derived from thofe of leaft bulk and ftrength (which muft be in fome propor- tion to the quantity of mufcular fibres) ; and would be a fingle inftance of a mechanical force producing another infinitely greater than itfelf. i. Ganglions are obferved to be formed generally upon nervous cords formed by the union of feverai different nerves. 2. They appear to abound with blood veffels. 3. The bulk of a Ganglion exceeds, for the moft part, that of all the nerves and vefiels, which it receives, and of which it may leem com- pofed (c). Hence we may not unreafonably conclude, (c) Gangliorum moles major eft quam fit aggregatum omnium vaforum ingredientium atquc egrcdientium ; quo fit, ut ad corum produdionem, neceflc fit concurrere, praeter comtnu- jiia vafa, peculiare aliud corpus, non tam ex cohasrcntia ct that r 179 ] that in Ganglions the different nervous filaments are very intimately mixed, a new nervous organization, or modification of the medullary fubftance, may take place, fo as to fecern new animal fpirits, or alter the direction of thofe already brought thither; a con- jecture, which has the fanction of the lateft as well as the earlier thoughts of the great Morgagni (d). In order to determine the particular ufe of Gang- lions (the intimate ftru&ure of which, equally with that of the brain and medullary fubftance of the nerves, we are hitherto ignorant of ) in the animal fyftem ; let us try, if fomething tending this way may not be fuggefted, by relieving on the fun&ions and motions of the parts applied principally by nerv- ous cords from below the Ganglions. The intercoftal or great fympathetic nerves abound moft of all others with Ganglions (e) ; and by ex- amining what is peculiar in the motions of parts, to which thefe nerves are diftributed, we fhall probably be led to the ufes of Ganglions. The mufcular fubftance of the heart has its prin- cipal, or rather all its nerves, from the intercoftals ; complicatione praefatorum nervorum, ac fanguiferorum, quam ex novis organicis partibus, quas provida folersque natura, fub- fiftentibus probeq excoctis liquidis, fimul etiam elongatis, vari- eque diTpofitis, folidorum fibris, fingat et creat. Lancifi, de Gangliis, loc. cit. (rt) bee Morgagni,, adverfar. Anatom, ii. p. 71. And De Sedibus et Caufis morborum, Epift. xii. art. 14. p. 95, vol. I. (e) Super omnes nerv .s, intercoftali, Ganglia funt frequen- tiffima, in cos vice quidem iria ; in thorace, lurnbis, et pelvi tot, quot nervorum ex (pinali medulla propagines intercoftalis accipic : turn in cordis vicinii, tub diaphragmate, circa arteriae coeliacm et mefentericae originem : et circa reriem pallim in plex- uofis retibus. Haller, Elem, Phyf. X. iv. p. 202. which [ i8° ] which are always detached from the principal cords below the Ganglions, and chiefly from the inferior cervical Ganglion. The few nervous cords from the par vagum or 8 pair, which in the human fubjed are fent towards the heart, are almoft totally fpread upon the pericardium and great veflels (/ ). In the abdomen this nerve unites with the par vagum of the right fide (g), and together form the great femi-lunar Ganglion ; from which, and from other Ganglions formed in inferior parts of the ab- domen, filaments are diftributed to tne inteftines, the liver, the fpleen, the kidneys ; and fome of them defeend to the Fallopian tubes, uterus, and other parts in the pelvis; fome of which are alfo in part furmlhed with filaments from the lumbar nerves. The heart and inteftines being wholely fupplied by nervous filaments detached below fome remarkable Ganglion, we muft inquire what is particular in the motions of thefe parts, or in their ftrudure: But the motions of the heart and inteftines are remarkable, and exadly analogous in being involuntary, or not liable to be either ftopped, renewed, or in any way controuled by the will. Tho’ it be very certain that thefe motions are ex- cited in the heart by the gentle ftimulus of the blood upon the infernal furface of that organ ; and in t le inteftines by that of the fecreted liquors, and ot the food taken in ; of which ftimuli thefe parts have the quickeft and mod exquifite perception : yet this being ordinarily not fo ftrong as to make us confcious of its a&ion, much lefs painfully io, can hardly be (/) Haller, Elcm. Phyf. T. i. p. 366. (jr) Window, Traitedes Nerfs, N°. 141. fuppofed [ *8i ] fuppofed to render thefe motions quite uncontroulable by the will, without Tome other etiicient caufe {h). Anatomy difeovers no peculiarity in the mufcular ftrudture of thefe parts likely to account for this ; and, excepting in their nerves 'having Ganglions, which feem indeed almoft appropriated to them, no ana- tomical difference has been obferved, nomechanifm, which thefe parts have more than thofe mufcles, which are fubjed to the direction of the will. May we not then reafonably conclude, that gang- lions are the inftruments, by which the motions of the heart and intcftines are, from the earliefr to the laft periods of animal life, rendered uniformly invo- luntary ; and that to anfwer this purpofe is their ufe, which they fubferve by a ftru — L-u. Ducantur linear pq, qr , rj, j/, &c. quae re- fpedtive tangant conicam fedtionem in pundtis P, Q, R, S» T, Sec. St erit contentum />Px yQj< rR x Sj X See. =zPq x Qr X R JX Sf1 x T-yx Sec. ve], quod idem eft, fumma omni- um hujus generis rationum (P p : P y, Q q ; Qr, R r : Rj, S j : S/, Sec.) erit nihilo aequalis. Cor. 1. Sit elliplis PQRSTV Sec. circa earn deferi- batur quodcunque polygonum (/> q r s t u w, Sec.), [Fig- ThUos. Trans. Vat.TIV. TAB.xm \ p. J$4- J.JUynAjc. [ r95 ] [ Fig. 3* ] cujus Iatera refpedtive tangant ellipiim in pundtis P, Q, R, S, Ta V, Sec. & erit contentum /Px?OxrRXi Sx/Tx SRj-, TS/, &c. fcribantur refpedtive a, p, b, q, c, r, d, s, Sec. & erit abed Sec. — p q r s Sec. Et fie de polygonis inter conjugatis hyperbolas in- feriptis. Idem verum eft de polygono, cujus laterum fum- ma vel area minima fit, circa quameunque ovalem in fefe femper concavam deferipto, ut conftat e noflra Mifcell. Anal. T H E O R. IV. . SIt ellJpfis PAQBRCSDTEVF,&c. [Fig. 4.] circa earn deferibantur duo polygona abedef, Sec . pqrstu. Sec. eundem laterum numerum habentia; eoium Iatera ab , be, cd , de , e f, Sec. p q, yr, rs, sf, tv. Sec. refpedtive tangant ellipiim in pundtis A, B, C, D, E, F, &c. & P, Q, R, S, T, U, &c. & fit a A : Ab :: pP : Py, & : Be :: yO : Or & cC : C*/ :: rR : Rs & dD : De :: sS : St, Se fic deinceps. Et area polygoni abedef Sec. squalis erit ares polygoni pqr s tv, Sec. Cor. Duo parallelogramma ( abed Sc pqrs) circa date ellipfeos. conjugatas diametros (AC Se BDj FE, QS) [Fig. 5.] deferipta, erunt inter fe asqualia. C c 2 In [ *9® ] In hoc cafu enim a A = A b, b'B — Bc, cC — Cd , d D = D 6c /> P — P y, q (V== Qr, r R — R s, sS — Sp 6c confequenter A : A b : : p P : P q 6c b B : B c : : y Qj^ Q & ^1C deinceps • ergo per the- orema haec duo parallelogramma erunt inter fe aequalia, quae eft notiftima ellipieos proprietas. Idem did poteft de polygonis inter conjugatas hy- perbolas eodern modo defcriptis. T H E O R. V. Rotetur conica fedio circa diametrum ejus (A L), ✓ 6c fit MAM, 6cc. folidum exinde generatum j fint fq> rs> st > tv, v w, wp, 6cc. [Fig. 6.] lineae, quae tangant folidum in refpedivis pundis P, Q, R, S, T, V, W, 6cc. 6c erit contentum p P x q Qx rRx^Sx/T xvV x w\V x 6cc. ~ Pyx QV x Rj xS^xT'uxVw x 6cc. T H E O R. VI. Sit ellipfis APB QC R, 6cc. rotetur circa diame- trum ejus BD; & circa conjugatas diametros (AC 6c BD, PR & QS) defcribantur elliptici cylindri (pqr s 6c acbd ) [Fig. 7.] folidum generatum cir- cumfcribentes, 6c erunt hi duo cylindri inter fe ae- quales. Sint duo folida e truncatis conis compoftta, folidum generatum circumfcribentibus, 6c quorum latera con- tinue [ *97 ] tinuo eadem ratione ad pun&a conta&uurn dividun- tur ; erunt hasc duo folida inter fe asqualia. Et fic de folidis inter conjugatas hyper boloides eo- dem modo defcriptis. Facile con-ftant plures confimiles conicarum fedtio- num proprietates. Hujus generis proprietates afHrmari poffunt de in- finite aliis curvis, ut facile deduci poteft e noftra Mif- cell. Anal. XXXVI. An [ *98 J X ... W I. ylri Account of the F feels of Lightening at South Weald, in Ellex: By W. Heberden, M. D. and F. R. S. Reacj7^ne zS’ QOUTH Weald is a village in Eflex, U4’ about eighteen miles diftant from London, and two to the North Weft of Brentwood, in the road from London there is analmoft continual a Lent for the laft four or five miles, which makes a confiderable eminence above any parts of the neigh- bouring country. On the higheft part of it ftands the church, which has at the Weft end a tower, and in one corner of this there is a round turret, being a continuation of the ftair-cafe, about four feet wide, eight feet high, and the walls of it one foot thick. In the top of the wall of this turret, which was leaded, are fixed feveral iron bars, that are bent fo as to meet in the middle and fupport a weather-cock, which was put up about fixteen years ago. On Monday June 1 8th, 1764, between twelve and one (about three hours before the time when the thunder and lightening happened in London, by which St. Bride s Steeple and Eftex-Street were da- maged) there was a ftorm at South-Weald, attended with uncommonly loud thunder. The lightening ftruck the weather- cock, and pafting along the iron bars, upon which it ftands, rufhed againft the wall of the turret, and has broken a fpace from the top of the turret to the leads of the tower, about four feet wide, being about one third of the circumference of the turret and facing the North. The weather-cock, and irons that fupport it feem to be unhurt. The 4 walls [ x99 ] walls of the turret were made of rough ftones and mortar ; and part of what is beaten down has fallen upon the leads of the tower underneath, and part up- on the roof of the church, which is greatly damaged. The flair- cafe alfo, which leads up to the turret, is fo full of the flones and mortar, that it is with great difficulty and fome hazard that any one can go up it. From a leaden fpout at this Well end of the church, which only comes down to near the top of the Weft window, the plafter is beaten off the wall for fome inches in breadth quite to the window ; and at the bottom of the upright iron bars of this window fe- veral of the ftones are cracked, and the wall is chipped here and there from thence to the ground. The fame is obfervable in the ftones at the bottom of the upright iron bars in the Eaft window, which is alfo near a leaden fpout that comes down from the roof over the chancel, the end of which refts upon a buttrefs, and does not reach the ground by feveral feet; which buttrefs is cracked, as well as the adjoining wall. On the infide of this wall, within the church, there is a large wooden frame, which holds the command- ments. This frame at the left hand corner is fup- ported by an iron holdfaft driven into the wall, which was mentioned above as being cracked on the outfide under the leaden fpout. The plafter of the wall, for three or four inches all round this holdfaft, within the church, is beaten off; and to the left hand there is a fpace, Hunting from the holdfaft toward the ground, five or fix inches wide and three or four feet long, from which all the mortar is forced away. 1 hat part of the wooden frame, where the holdfaft is fixed, is fhattered. The canvas, upon which the com- [ 200 ] commandments are painted, which was in this wood- en frame, is torn from the frame on the two fides of it next the holdfaft, and is rent befides in feveral places. The whole appearance of the damage done to this church very much favours the conjecture of that fagacious obferver of nature, Dr. Franklin, who thinks it probable, that, by means of metallic rods or wires reaching from the roofs to the ground, any buildings may be fecured from the terrible effects of lightening. XXXVII. An [ 201 ] XL. Obfervations upon the EffeSis of Light- ning, with an Accoimt of the Apparatus pro - pofed to prevent its Mif chiefs to Buildings , more particularly to Powder Magazines ; be- ing Anfwers to certain Queflions propofed by M. Calandrini, of Geneva, to William Wat- fon, M. D . F. R. S. To the Right Honourable the Earl of Morton, P ref dent of the Royal Society . My Lord, Read June 23, t Very lately received a letter from the 17 4‘ learned and ingenious Monfieur Ca- landrini, of Geneva, who has a confiderable employ- ment in the Ordnance in that city. In this letter Monfieur Calandrini tells me, that he had perufed with attention a letter which I wrote to the late Lord Anfon, which contained fome fuggeftions tending, as I hoped, to prevent the mifchiefs occafioned by light- ning to fhips at fea ; and which likewife might, on the fame account, be ufeful to powder magazines. This letter was printed in the Philofophical Tranfadions *. He fays, that he has confidered with fatisfadion the real advantages, which may arife from thence to for- tified towns, where the quantity of gun-powder may, from any accident, endanger the whole fabric of a city. This gentleman therefore is defirous of prefenting a memorial to the Board of ordnance at Geneva ; in which he would be very glad to explain to their fa- tisfadion the method I propofe. He has therefore * Phil. Tranf. Vol. LII. page 629. Vol. L1V. D d fent [ 202 ] fent me the following queflions, which he thinks tend to throw further light upon this fubjeC, and has defired my opinion upon them. As thefe may poflibly hereafter be of public utility, 1 have taken the liberty of communicating them to your Lordfhip. I. What fort of apparatus is ufed at Philadelphia? II. Whether there is not fome improvement to be made to their methods? III. In what manner this apparatus may be adapt- ed to powder magazines ? IV. Into what place the thunder may be conduc- ed, where there is no river near, to anlwer the pur- pole of the fea about fhips ? V. Whether the apparatus might not eleCrify the air, fo as to occalion lightning, which was, he be- lieves, the caufe of the death of Profeffor Richmann of Peterfburg ? This apparatus may not be danger- ous to dwelling houfes, where the fire may flip with- out any manner of ride ; but may be attended with the mod; dreadful confequences to a powder maga- zine, where the fmalieft lpark may occalion the ex- plofion of the whole. VI. Whether the fquare, or the circular form of building, will be eafieft adapted to the apparatus ? VII. Whether an iron bar fixed on the top of the building, to fupport a weather-cock, may not at- tract the thunder bolt, and be ccnfequently dangerous to all buildings; but more efpecially to powder ma- gazines ? VIII. Whether there is not fome particular man- ner of buildings, invented of late, adapted to pow- der magazines ; either to diminifh the fiiock of the explofion, or to fecure them againd any accident, by the method ufed at Philadelphia ? Mr. [ 203 ] M. Calandrini fays further, that he liimfelf has been eye-witnefs of the effe&s of lightning coming into a room, which had received much damage from it. That he looked for the place it went out at, and after long fearch perceived that it had followed the wire of the bell, which had conduced it through a very inconfiderable hole into the next room j from whence it had opened itfelf a pafiage into a back yard., Thisaccident was at that time thought very extraordi- nary, being anterior to Dr. Franklin’s experiment. To M. Calandrini’s questions I have fent the fol- lowing anfwers, I. The apparatus, ufed at Philadelphia, confifb either of a long iron rod, placed upon the highefl part of an houfe, or other building ; or, of a fhorter rod, inferred into a long wooden pde, placed in the fame manner. The iron rod, mentioned by Mr. Kinnerfley in the Philofophical * Tranfa&ions, and which probably preferved the houfe in Philadelphia upon which it was placed, extended in height about nine feet and a half above a ftack of chimnies, to which it was fixed 5 but he fuppofes that three or four would have been fufficient. Tbefe rods are pointed at their upper extremity. It is indifferent, which of thefe two are ufed, provided that they are of height enough to reach above the chimnies, or any other part of the edifice. Connedled to, or fufpended from, the metal of thefe, a metallic wire, generally of iron, is conduced, in the eafieft and moft convenient manner, to the neareft water, viz. £0 the well of the houfe, or any other water in the neighbourhood. * Vol. LI II. page 95, D d 2 II. This [ 20+ 3 II. This method, wherever it has been employed, has hitherto perfectly anlwered the intention ; no houfe in Philadelphia, or in any other place I have heard of, having fuffered from the effects of light- ning, where this apparatus has been eredted. The improvements I fhould recommend would be, fir ft ; that, as iron wire foon becomes rufty, and when rufly to the center is unfit for the prefent purpofey and as brafs wire is, when long expofed to the weather, ex- ceedingly brittle and liable to fnap afunder, the wire fhould be of copper ; and of a fize not lefs than that of a large goofe quill. Secondly, I prefer it’s being conducted, from the rod at the top to the water be- low, on the outfide of the building, and thereby prevent the lightning from coming within the build- ing. On houfes, where there are gutters and fpouts of lead to carry off the rain, the wire need only be conduced to the lead of the gutters j and attention be had that the gutters and the fpouts coming from them are in their whole length in contadl, or very nearly fo, one with the other. If the leaden fpouts do not reach to the bottom of the building, a flip of lead, fuch as is employed for the gutters, and a- bout an inch wide, fnould be faftened to the bottom of one or two of the fpouts, and conducted to the water. If a flip of lead, fuch a one as has juft been mentioned, was to be conducted from the rod at top to the gutters, it might with equal advantage be fub- ftituted for the copper wire : or further, a flip of lead of this kind may be conne&ed with the rod at the top of the houfe j and, where there are no leaden gutters or fpouts, may be conducted on the outfide of the houfe down to the water, as I before menti- oned. [ 205 ] oned. I would recommend likewife an increafe of their number j as the effects of one apparatus of this kind can extend only to a certain diftance, and that to no great one ; and the fecurity, where mifchiefs from lightning are frequent, mufc arife from their number. In countries and places fo circumftanced, no houfe or other building fhould be without one at leaft j large edifices ought to have feverah The number fhould be in proportion to the fize of the building. III. In powder magazines, I fhould recommend the apparatus to be detached from the building itfelf ; and to be only placed as near it as might be. Pow- der magazines fhould never be conftru&ed fo, as to cover a large quantity of ground. If fecurity from lightning was confidered in their conftru&ion as a confiderable objedt, I fhould recommend a circular building ; in the periphery of which fhould be placed ftorehoufes fufficient in their number and extent to contain the quantity of powder propofed. In the centre of this circle fhould be a well, very near which fhould be eredled a pole or maft, high enough to reach fome feet above the buildings of the powder maga- zine, or the buildings in it’s neighbourhood. From this maft there fhould rife a brafs rod, five or fix feet in length, an inch in thicknefs, and ending in a point ; and from this rod a wire of copper of a fize not lefs than that of a large goofe quill, fhould be con- veyed down the maft, and terminate in the water of the well. If there is no well, the wire fhould be laid into the neareft water ; as the expence even of fome hundred yards of a wire of this fort can hardly be confidered as an object in an affair of this impor- tance. [ 206 ] tance. For though I have reafoa to believe, that the wire communicating with the ground would prevent the mifchiefs of a thunder cloud, which came near an apparatus of this fort ; yet as water is a more ready conductor than the ground, it fhould, if pofhble, be infilled upon in this particular cafe, and employed. Mr. Weft’s apparatus, defcribed by the before-mentioned Mr. Kinnerfley, terminated in an iron ftake, driven four or five feet into the ground ; neverthelefs the earth did not condud the lightning fo faft but that, in a thunder ftorm, the lightning was feen to be diffufed near the ftake two or three yards over the pavement, though at that time very wet with rain. It is prefumed, that had this iron ftake been placed in water inftead of earth, the lightning had not been vilible, on account of the water’s receiving the eledric matter more readily than earth. Where this apparatus therefore is applied to powder magazines, it fliould certainly terminate in water. At Mr. Hamilton's at Cobham, about twenty miles from hence, where an apparatus of this fort was ereded upon an high and greatly- expofed build- ing, as there was no water but at a great diftance, the bottom of the wire was placed deep in an hill of inoift fand. If, inftead of one wire, two, three, or more, were adapted to the brafs rod in this man- ner, and conduded to the water, or if the brafs rod itfelf was continued to the water, I ftiould confider it, in extraordinary cafes, as an additional fecurity. This will explain my fentiments upon the third, fourth, and fixth queftions. V. As the expectation of the utility of this appa- ratus is prefumed to be the preventing of the accumu- lation of eledricity in its neighbourhood, by afford- i ing [ 207 ] ing a constant and eafy paffage to the electricity of the clouds furcharged therewith, nothing, in my opi- nion, need be apprehended from the apparatus elec- trifying the air ; as its principal operation is conceiv- ed to be the reverfe of that, viz. diverting the air of it s electricity. I am well apprized from experiments made here, that the earth is frequently eledrified Pfus> an<3 the clouds minus', and that this change of plus and minus between the clouds and earth are fome- times feen to vary feveral times in a quarter of an hour : but in that cafe it is prefumed, that the clouds, within the fphere of adion of the apparatus, have by it’s operation their ele&ricity brought to the fame rtandard with that of the earth in its neighbourhood, and vice verfd ; and confequently, that the mifchiefs which might arife from the difference of the dehfi- ties of the electricity in the earth and clouds are pre- vented, by the equilibrium between them being main- tained. This fubjedt, in relation to the electricity's be- ing plus or minus, I many years ago conhdered, and laid my thoughts thereupon before the public, as may be feen in the Philofophical Tranfadions, Vol. XLV. That the atmofpbere at times is very ftrongly elec- trified, is evident, to fay nothing of lightning, not only from our apparatus, but from the marts of fhips, being befet with St. Elmo's fires, which I believe would fcarce, if ever, happen, were the marts pro- vided with an apparatus of this fort j unlefs the caufe might be fo great, and come on fo fart, that the metal employed between the tops of the marts and the water might not, on account of the vaftnefs of the caufe, be large enough for the purpofe. If it fhould fo happen, St. Elmo's fres might rtill appear at- [ 208 ] at the tops of the marts, and thunder clouds might burrt: near them, and exert their dreadful effe&s *. That even artificial ele&ricity, when in too great a quan- tity, and hurried on too fart: through a fine iron wire has a remarkable efFedt upon the wire, appears from a very curious experiment of Mr. Kinnerlley of Pen- fylvania. This gentleman in the prefence of Dr. Franklin, by his cafe of bottles being eledfrified ful- ly, and made to explode at once, after the manner of the experiment of Leyden, through a fine iron wire, the wire appeared at firrt: red hot, and then fell into drops, which burned themfelves into the fur- face of his table or floor. Thefe drops cool in a fpherical figure, like very fmall {hot, of which Dr. Franklin tranfmitted fome hither to Mr. Can- ton ‘f-, who has repeated this experiment. This proves the fufion to have been very compleat, as nothing lefs than the moft perfedl fluidity could give this figure to melted iron. Thefe effedls from artifi- cial lightning, are exadtly fimilar to thofe of the na- tural ; as we have feveral times known iron wires, * See more upon this fubje£t Phil. Tranf. Vol. XLVIII. page 215. f The diameter of a piece of Mr. Kinnerfley’s wire, which I received from Do£tor Franklin, was one part in 182 of an inch. Artificial lightning from a cafe of 35 bottles, I find will entirely deflroy brafs wire of one part in 330 of an inch. At the time of the ftroke, a great number of fparks, like thofe from a flint and fteel, fly upwards, and laterally from the place where the wire was laid, and lofe their light in the daytime at the dif— tance of about two or three inches. After the cxplofion, a mark appears on the table the whole length of the wire ; and fome very fmall round particles of brafs may be difeovered, by a magnifier, near the mark ; but no part of the wire itfelf can be found. J. Canton. nails. , , , C 209 ] ;.ad ™ ^0? nallic [uhtnces t0 have be“ «« i wood by ? thld r £' “ft* ,‘h- bad fome indanceshere in a iLndTdonr v’h'T appened m July 1759, 0f which the effefls were _ mmunicafed to the public in the * Philosophical how much larger ought to be tire metallic par of 4. KSW kS “ifChirf? «£• parlt ekh^ofS m?™," °r ^ a'ld ‘n co-^iS eitner Ot thele materials, were not dangerous to ordi n y buildings on the account you memion exLm in very particular and extraordinary cafes , as ’thefe fub ftances, when not much heated, condudt the eledtric But what lately me at -ad ,h °n W ^ evin“s. <0 er cod '’ n m aPPara,us- “fi»«y applied to wea- * aks’ fllouM never be truded in any building witnout a metallic communication from them to fome water, or at lead very mold ground. St Bride’s Steeple, one of the mod beautiful in London, 'was on onday, June 18, about ten minutes before three in the afternoon, very greatly injured, in one of the mod fevere thunder dorms, whichever happened here Fiona as^ attentive an examination, as the fteenle -t the prefent will admit of without fcaffoidirw 'it * See Volume LI. VoL. L IV. £ c appears [ 210 ] appears to me, that the weather-cock and its appa- ratus had the principal (hare in occafioning the great mifchief done to the upper part of the fteeple. I am of opinion, that the lightning firft took the weather-cock and was conduced, without injuring the metal or any thing elfe, as low as where the large iron bar or lpindle, which is inferted into the top of the fteeple, and comes down feveral feet of its length, terminates. There the metallic commu- nication cealing, part of the lightning exploded, cracked and (battered the obelifk, which terminates the fpire of the fteeple, in its whole diameter, and threw off at this place feveral large peEes of Ioit- land (lone, of which this fteeple is built. Here it likewife removed a (tone from its place, but not far enough to be thrown down. From hence the light- ning feems to have rufhed upon two horizontal iron bars, which are placed within the building, crofs each other, to give additional ftrength to the obelilk, almoft at the bale thereof, and not much above the upper ftory : here, on the North Eaft and Eaft fide, it exploded again at the end of the iron bar, and threw off a con- fiderable quantity of ftune. And here, for the fake of explanation, I muft obierve, that the fpiie of this fteeple, where it rifes above the bell tower, is com- pofed of four ftories, befides the obelifk placed over them. The lowtft and fecond are of the Tufcan order ; the third is Ionic ; and the fourth or upper- moft Compofite or Roman. I he ftone piei s of thele Rories arc connected together and ftrengthened by iron bars placed horizontally near the height ol the capitals of the pilafters, and each ftory has only one let of thefe bars. From the crofs bars near the bale of [ 211 ] of the obelifk juft now mentioned, the lightning broke through the roof above the Compofite ftory ; at the ends of another fet of iron bars placed lower than the former, from which it tore out a large portion of the ftone. It then ftruck the iron bars of this ftory, which are placed immediately under, and, in contact with the ftones, broke one of the iron bars direCtly acrofs, ana bent the larger part of it from its horizontal direction to near an angle of 450. Its rapid progrefs being here in fome meafure prevented, at the end of one of the iron bars, it threw off the upper part of one of the Compofite pillars juft above its capital and a large portion of the cornice project- ing over it, and that with fuch a force, that part of a ftone which was placed here and formed a portion of the cornice, and weighed feventy two pounds, was projected, not only the whole length of the body of the church, but beyond it, acrofs St. Bride's Lane; where it fell upon the top of an houfe, and broke through the roof and lodged in the garret* The horizontal diftance from the fteeple to the place where it fell, wasatleaft: 150 feet; the heigth, from which it fell, fomewhat more than two hundred. 1 his piece of ftone was of a very irregular figure, and muft have required an amazing force to rend it, detach it from the building, and throw it to fuch a diftance. The fhaft of the pillar, the next to the Eaft of that whofe upper part had buffered fo much, was likewife violently ftruck; and a large portion of its diameter broke out and thrown down. The Io- nic ftory has fuffered confiderably, more particularly the pilafter fronting the North Eaft, and placed di- reCtly under the Compofite column, whofe top was E e 2 thrown [ 212 ] thrown off. This pilafter is much injured, but the ftory in general has buffered leffs than the Compofite, and that chiefly where the irons are inferted ; the up- per Tufcan lefs than that, and the lower Tufcan but little, except in the North Eaft pier, which is con- fiderably cracked and fihaken ; as if in its paffage part of the force of the lightning was fpent in thefe ex- plofions, and part abforbed and conduced by the maf- fes of ftone. The damage done to the fteeple is, ex- cept near the top, confined almoft to the Eaff and North Eaft fide, and moft generally where the ends of the iron bars have been inferted into the (lone or placed under it; and in fome places, by its violence in the ftone, its paftage may be traced from one iron bar to another. And it is very remarkable, that, toleffen the quantity of ftone in this beautiful fteeple, in fe- veral parts, cramps of iron have been employed; and upon thefe, ftones of no great thicknefs have been placed, both by way of ornament and to cover the cramped joint. In feveral places, thefe fquare ftones have, on account of their covering the iron, been quite blown off, and thrown away. A great number of ftones, fome of them large ones, were thrown from the fteeple, three of which fell upon the roof of the church, and did great damage to it; and one of thefe broke through the large timbers, which form it, and lodged in the gallery. In the tower of the fteeple, in the room where the bells are placed, the lightning took the South- weft window above the bells and clofe to the window* not far fiom an iron bar, which goes round, and rent out feveral large ftones; fome of which fell into the bell, which was very near this part of the fteeple, and [ 2I3 and was the largeft in the fteeple; and, pafling below the bell, tore out at another place, in a line with the foimer, a great number more. One of the ftones, toi n out above tne bell, was thrown to the North- ed (ide of the tower. Between the two places, in which the lightning had here exerted its fury, the wooden block, which confined the axis of the frame of the great bell, and was fattened down with two iron ttaples, was thrown off, and the ttaples torn out. No damage at prefen t feems done to the bell. It is remarkable, that, lefs than twenty years ao'o, one of the ftones of the obelifk of this fteeple was obferved to be moved from its place, and project fome inches over thofe under it. This ftone was about feven feet from the top of the obelifk. Danger being apprehended from this ftate of thefpire, it was taken down to the place where the ftone was removed, and rebuilt with new ftone. This accident, at that time, was fuppofed to be owing to the ringing of the bells; but it is highly probable, from what has lately happened, that, as that ftone was removed from its place, very near to that part of the fpire, where it is now cracked and fhivered quite a crofs and feverai pieces of ftone thrown down, it was owing to the fame caufe as the prefent damage, viz. lightning,, though not at that time adverted to. The lightning on June 18 came from the Weft and South- weft ; the damage done both to St. Bride’s church and South Weald was on the Eaft and North Eaft Tides, except that in the bell-loft at St. Bride’s. The ftones both from the fteeple of St. Brides and in its tower were thrown to the Eaft and North Eaft. Since [ 2I4 ] Since the communication of this paper to the Royal Society, the fleeple of St. Bride’s has been furveyed, and found fo very much damaged in feveral of its parts, that eighty hve feet have been taken down, in order to reftore it fubflantially. Within thefe eighty five feet are com- prehended the obelifk, placed at the top of the fleeple, the fmali dome immediatly under it, the fpace be- tween that and the uppermoft or Compofite flory, theCompofite flory, and the Ionic flory. This laft, on the Eaft and North fides, was taken down to its bottom; but on the other fides, as they were not in- jured, fome parts were permitted to lfand. Three piers were likewife taken down of the fecond Tufcan flory, and one pier of the firft. The fcaffolding to take this down and rebuild it enabled me minutely to examine, not only the damages occafioned by the lightning, but the manner of its progrefs. This examination confirmed the opinion of the caufe and manner of this accident, which I communicated to the Royal Society, foon after it happened; and be- fore a near infpedlion could be obtained. It com- pleatly indicated the great danger of infulated mafles of metal to buildings from lightning; and, on the contrary, evinced the utility and importance of mafles of metal continued, and properly conducted, in de- fending them from its direful effedls. The iron and lead employed in this fleeple in order to flrength- en andpreferve it, did almoft occafion its deflrudtion : though after it was flruck by the lightening, had it not been for thefe materials keeping the remain- ing parts together, a great part of the fleeple muil have fallen. 4 The C 2I5 ] The operation and progrefs of the lightning in the obelifk and upper parts of the heeple deferve more par- ticular attention. T o form a more perfect idea of thefe the following meafures will in fome degree contribute, Feet The height of the odiogonal obelifk - - - - — _ - _ - 22- Length of the iron fpindle — ig - Thicknefs of the fpindle, where inferted into the hone. - - - * o- Jts length inferted into the hone g - From the bottom of the fpindle to the fir ft cramped joints. - - 5 - Three courfes of hones without cramps. - -- -- -- -- - ^ _ From the bottom of the fpindle to the firh concealed chain. - - n - From the firh concealed chain one foot above the bafe of the obe- 1 if^k to the firh crofs chain. - - 2 - From the firh crofs chain to the fecond, placed in the dome - 8 - Inches, “ 3 - 9 - 2 fquare - 10 - 10 “ 7 - 5 - o - 10 The vane, the crofs above it, the ball and its focket, whicn covered lo much of the fpindle as arofe above the hone, to near ten feet of its length, were of cop- per gilt. This length of the fpindle was cylindrical, but the other part was made fquare, where it began to be inlerted into the hone. To lahen this fpindle moi efecurely in the courfes of hone, melted lead had been poured. Tins lead, in the two lower courfes of hone through which the fpindle had pah'ed, not only hiicd ail the ipace left between the fpindle and the hones. r 216 ] {Tones ; but had, as it were, ramified itfelf not only between the joints of the hones, but had infmuated itlelt in its melted hate into all their fmall clefts and interhices, The fpindle terminated in one hone which occupied the whole area of the obelifk, and was three feet and near two inches in diameter, and one foot in thicknefs. . Into this hone the fpindle was infer ted hve inches of its depth, andfahened by melted lead. Under this hone the obelifk was hollow ; but above it was folid, excepting the fpace left for the fpindle. . Upon examining thefe feveral particulars, no in- jui v had been done by the lightening to the vane, its crofs, copper ball, or fpindle. Of the fcven courfes of hone at the upper part of the obelifk, and which were above the whole hone into which the fpindle was inferted, the five upper courfcs, though connected to- gether at top and bottom with iron collars fodered with lead, ’'were not damaged ; but the two hones, which formed the hxth courfe, were cracked, Shi- vered, and fragments thrown from them. The fe- venth courfe confihed likewife of two folid hones. Thefe were burhfrom the fpindle, which was, by the intervention of the lead, connected with them, broke into many parts j each was moved from its place; fome pieces were thrown down, and one large one project- ed five inches over the hone, immediately under it. The whole hone, into which the fpindle was inferted, and upon which it rehed, was burh from the center into a great many pieces, and every piece removed from its place. Some of thefe were thrown from the hceple. Several of the larger mafles of this hone, which hill co- hered, were very muchfhivered. Thecenterofthehone, [ 2I7 ] and near which the fpindle refted, was beaten to powder, and a hole made through the under part of the hone. That this ftone in this condition (hould hill fupport the feven courfes above it, which weighed four tuns, exclufive of the fpindle, vane, and their appertinances ; and that the whole did not fall when firuck with the lightning, is in no fmall degree fur- prizing. From the bottom of the fpindle to the firft courfe of hone, where the workmen had ufed iron cramps, the diftance was five feet feven inches. Thefe cramps were bedded in the hone. Part of the lightning, from the bottom of the fpindle through the hole juft now mentioned, feized thefe cramps, and threw oft* large fcales of ftones at their ends. From thefe there were three courfes of ftone, in which there were no cramps; thefe fuffered nothing. In edifices of this kind, for additional ftrength, the builders employ bars of iron, conne&ed together in fuch a manner as their exigencies require; and thefe, though they have no links, are denominated chains. Thefe are fometimes fo adapted to the courfes of ftone as not to be vifible, and are perfectly concealed : at other times, they are in part vifible, and in part concealed. The firft metal, that occurred after the cramps beioie mentioned, was a concealed chain, one foot above the oafe ol the obelifk, and two feet above the firft ciofs chain. Here two ftones were burft and fhattered.. In the courfie of ftone, where the firft cjois chain was infer ted, and the fieveral ftones con- i .flea by iron cramps, many of the ftones were much fbattered, Vol. LIV. Ff At [ 218 ] At the bafe of the dome, near nine feet below the firft crofs chain, was a fecond. This chain was a double crofs conneded at its ends with a circle of iron, which was bedded into the whole courfe and fattened by melted lead. Here the lightning made great ravage, burft and threw off the (tones in which the iron circle was bedded, and tore out part of the roof of the dome, threw off two pieces of the cor- nice and one of the vafes, which was contiguous to it. Thefe two pieces of cornice weighed twelve hundred pounds. The courfes of flone between the two chains, except thofe I juft now mentioned, were not injured. To what is here faid, I fhall only add, that in no part the fteeple was injured, except where the (tones were in contact or very near the iron and lead em- ployed in its building; and the quantity of (tone burft, fpoiled, or lb much damaged as not fit to be ufed again, amounts, asl am informed by Mr. Stanes, a very honeft and ingenious mafon, who has contracted to repair the damage done by the lightning, to not lefs than five and twenty tuns. An amazing quantity! The above mentioned Mr. Stanes was employed, a few years fince, in the repair of the fteeple of St. Mary le Bow in Cheapfide, which was injured by a very rare and uncommon accident. At its eredion, the builders had employed, near the top of the fpire, for additional fecurity, feveral iron cramps; the ends of which, by being expofed to the weather, became rutty, fwelled, and fo much enlarged thereby, as to raife the (tones above them, and to defied the top of the fpire fix inches from the perpendicular. Danger being apprehended from this fituation, the fpire was taken C 2I9 ] taken down feveral feet of its length, and properly repaired. This ought to be a caution to fucceeding builders, that if, in edifices of this kind, they find it expedient to employ cramps, they fhould be either of copper, which is not liable to fwell by moifture ; or, if iron be ufed, fo much fpace fhould be left in the under bed of the hones, which immediately cover the cramps, that they may have room to ex- tend themfelves without danger to the building. This remark, though not immediately relating to our p re lent purpofe, will not, I hope, be thought im- pertinent in this place. But to return : this thunder florm had been preceded by feveral very warm days. The nights had fcarce fur- nifhed any dew : the air was quite dry, and in a ftate perfectly unfit to part with its highly-accumulated electricity without violent efforts. This great drynefs made the ftones of St. Bride’s fteeple, and all other buildings under the like circumftances, farlefs fit than if they had been in a moift ftate, to conduit the lightn- ing, and prevent the mifchief. For though this thunder ftorm ended in a heavy fhower of rain, none except a few very large drops fell till after the church was ftruck; and I have no doubt, but that the fuc- -ceeding rain prevented many accidents of a fimilar kind, by bringing down with every drop of it part of the eleilric matter ; and thereby reftoring the equilibrium between the earth and clouds. It is fre- quently taken notice of, in attending to the apparatus for observing the electricity of the clouds, that tho’ the fky is much darkened, and there have been fe- vcrai claps of thunder at no great diftance, yet the apparatus will be fcarce affeited by it; but as foon F f 2 as [ 220 ] as the rain begins, and falls upon fo much of the ap- paratus, as is placed in the open air, the belis of the apparatus in the houfe ring, and the ele&rical fnaps fueceed each other in a very extraordinary manner. This demonftrates, that every drop of rain brings down part of the ele&ric matter, of a thunder cloud, and diffipates it in the earth and water; and prevents thereby the mifchiefs of its violent and fudden cx- plofion. Hence, when the heavens have a menacing appearance, a ihower of rain is much to be wifhed for. From thefe confiderations, 1 have no doubt, but that the mifchief done to St. Bride’s deeple was ow- ing to the efforts of the lightning, after it had poffcffed the apparatus of the weathercock, en- deavouring to force itlelf a paffage from thence to the iron work, employed in the ffeeple. As this mud. be done per J'altim , there being no regular me- tallic communication, it is no wonder, when its force is vehement, that it rends every thing which is not metallic, that obdru&s its eafy paflage ; and in this particular indance, the ravages increafed as the light- ning to a certain didance came down the deeple. To procure this eafy pafl'age and avert the ravage oc- cafioned by the want of it, in future, as much as our prefent knowledge in thefe matters will enable us to do, I cannot fudiciently recommend metallic com- munications between the metal at the top and water, either as has been before mentioned, or in any other convenient manner, taking care not to be too frugal of the metal employed. This was fird fug- geded by that excellent Philofopher Dr. Franklin; and fince much ufed in Philadelphia, and other parts of North America. Near [ 221 ] Near the fame time, that the mifchief was done to St. Bride’s church, the mad of his Majefty’s ihip Ra- maillies, lying at Chatham, wasfplit and torn to pieces by the lightening. This is the lefs extraordinary, as, from its height, figure, and condituent parts, the malt of a fhip flops the progrefs of lightening much more than edifices of the fame height, madeof brick or flone. This therefore feems to require particular attention ; but upon this head I fully explained my- felf in my letter to the late Lord Anfon and fhall therefore decline faying any thing further of it in this place. I flatter myfelf, that what has here lately happened will tend to occafion the applying of an apparatus of this fort to all buildings, at lead, of value and ex- tent. No fteeple fhould certainly be without it ; and in mod, if the iron work of the weather-cock can be eafily got at, it may be adapted with very little trouble or expence. It is only neceffary to make a metallic communication between this iron work and the lead, which carries off the water. This fre- quently reaches to the ground or very near it. From the bottom of this, the metallic communication fhould continue to the neared water, or at lead to very moid ground ; though where it can be procured, water fhould be preferred. Care mud be taken like- wife, that metallic communications be added to fuch parts of the lead, which ferve to convey the water from the top, as do not already touch or come near each other. And thefe may be either of lead, or of copper wire, fuch as I have before mentioned. In thunder dorms attended with rain, fufficient in quan- * Philofophical Tranfadlions, Vol. LII, p. 629. [ 222 ] tity to run oft in ftreams, a great portion of the elec- tric matter runs off in, and is diflipated by, thefe ftreams ; and buildings are thereby preferved from damage. What happened to St. Bride’s cannot but give us fome appreheiftions for that moft noble edifice in its neighbourhood; I mean St. Paul’s. This is above an hundred foot higher than St. Bride’s, and there- fore more in the w iv of accident from thunder ftorms. Upon its mangnificent lanthorn is placed a crofs of metal, which is inferted into the ftone of the lan- thorn; and this is lupported by a truncated cone of brickwork, which arifes from the arches of ftone be- low. The cupola is covered with lead, which is continued to the fpouts of the fame material. Thefe bring down the water to the ftone gallery under the cupola, and end within about a foot of the ftone. From hence the water is conveyed a confiderable dift- ance, in a ftone trough or channel, to the leaden fpouts ; and thefe are carried down the building, and terminate, as I was informed upon inquiry, in the common fewer. By this arrangement the metallic communication is interrupted. In thunder ftorms during rain, the water carries oft' in its ftreams the electricity, as perfectly, as the moft compleat me- tallic communication would ; but when there is no rain, it is otherwifej and thefe interruptions are the great caufe of danger. To leffen which, as far as we can conclude at prefent, it would be expedient to make, by the means of feveral copper wires, ftnali rods, or pieces of lead, a metallic communication between the gilded crofs, and the lead of the cupola: and again, from the leaden fpouts of the ftone [ 223 ] gallery to thofe, which bring the water thence ; care being taken that, from the bottom of thefe lad, there lhould be a metallic communication, if there fhould be found to be none at prefent, with the wa- ter in the common fewer. Thus, without much expence, a compleat metallic communication may be made between the top of St. Paul’s church, and the water ; which had it been done at St. Bride’s, the ravages fo lately experienced had in all probability been prevented. From confidering the circumdances of this thun- der dorm, I cannot but be of opinion, that the in- jury done to St. Bride’s prevented mifchief to St. Paul’s. St. Bride’s is a very high building, and within a fmall didance nearly Wed of St. Paul’s. When this didance is confidered, and that the light- ning came in the direction of St. Bride’s to St. Paul’s, and that when the thunder cloud came near the for- mer, it exploded there, and parted with much of its force; what was left did no damage to the latter, tho’ the much higher and more expofed building, and having a metallic crofs at its top. I have recommended as metallic conductors copper wires of the fize of a goofe quill ; as, when of that thicknels, they may eafily be bent to any direction ; and, where thought neceflary, any number may be employed. I look upon this as a kind of dandard, from what Dr. Franklin wrote to Monf. Dalibard of Paris upon this fubjeCt *. He obferves, in a church which fuffered greatly by lightning at Newbury in Nevv-England, that though a fmall wire was beaten to pieces by lightning, and didipated by its force, the rod of a pendulum conducted the whole without * See Phil. Tranf. Vol. XLIX. p. 305. being 5 [ 224 ] being melted or othervvife injured by it; and that, great as the quantity was in this indance, and which utterly dedroyed the fmall wire, no damage was done to the building, as far as the fmall wire, and the pendulum of the clock extended : and in the remarkable indance, mentioned by Mr. Kinnerfley in his * letter to Dr. Franklin, where a brafs wire of about two lines thick, ten inches long, and termi- nating in a very acute point, was inferted into the iron rod, about two inches and half only of its top were melted by the lightning; the remaining part of it tranfmitting the lightning without being fuled by it. You will obferve in this dilquifition, that I have no where mentioned the apparatus attracting the lightning. 1 have avoided introducing the term attraction here, operating as an active principle; as I conliderthe apparatus purely paflive, and only af- fording, from the aptnefs of its parts to that purpofe, an eafy and uninterrupted palTage to the lightning, and thereby preventing its violent efforts. You will pardon, Sir, this long digreflion in relation to St. Bride’s church ; as it gives fo pofitive and explicit an anfwer to part of your feventh quedion ; fuch a one as could not, without the late thunder dorm, have been furnifhed, at lead from hence : To wit, that, without a proper apparatus, weather-cocks placed at the tops of any buildings are dangerous tothem in thunder dorms ; but more especially to powder magazines. The accidents, which have lately happened to St. Bride’s and South Weald churches, if confidered as great eledricalexperimentsffurnifh very important, and, I flat- ter myfelf, ufeful conclufions. They are too hazardous * Philofophical Tranfa&ions, Vol. L1II. p. 96. and [ 225 ] and expenfive however, to with to fee often rc- If the ereding of an apparatus of this fort fhould become general in countries where thunder (forms are frequent and often attended with mifchief, though damage (hould really be averted by it, the operation of the apparatus would be unfeen, and therefore un- known, unlefs in fuch rare inftances as that men- tioned by Mr. Kinnerfly. To make its effeds ap- parent, as has been hinted to me by Dr. Heberden, a very defervedly eminent phyfcian here, if chains are employed as metallic communications, inf ead of wires or rods, whenever the lightning comes near enough to affed the apparatus in a confiderable degree, it will without mifchief be vifible in the dark, by itsfpark- Jing and flapping in its paffage, at the links of the chain. The effeds of the apparatus may be obferved in another manner. If the metallic communications are by the means of a wire or lingle rod, there may be, in fome part of its length, in any place convenient for obfervation, a fpaceleft where the metal is difcon- tinued ; but this fpace fhould not exceed two inches. The two extremities of the metal at this interruption fhould be furnifhed with brafs knobs not lefs than an inch in diameter. By this method, though the effeds of the apparatus would not be confiderably leffened, they might be obferved. For at times, when no lightening was vifible, but when clouds replete with it came near the apparatus, or rain from them fell upon it, there would be a flapping from one of the brafs knobs to the other. When indeed the light- ning was near, there would not only be this flapping; but, if the caufe was great, a dream of fire would be Vol. LIV. Gg feen ' [ 22^ ] feen, as in M. Romas’s kite*, to pafs from one of thefe to the other, as the beft and nearefl condudor. If danger however is apprehended, a piece of chain may be always at hand to be hung occafionally upon the upper knob, lb as readily to fall in comad with the lower. Orherwife, if while the metallic com- munication is divided, though when entire it is ap- prehended it may be touched with fafety, a perfon fb.ould touch the rod above the divifion and at the lame time touch or come very near the rod below the divifion with any part of his body; and at the fame inflan t if a fmart llroke of lightning affeded the apparatus, he would certainly be deftroyed, as hap- pened to profeffor Richmann at Peterfbourg ; the lightning going through his body from one part of the apparatus to the other, which it is believed it will not do, while the metallic communication is com- pleat. VIII. I have not heard that there has been here of late any particular mode of buildings, adapted to powdermagazir.es, to diminilli the fhock of the ex- ploiion in cafe of accident : nor do I believe that any attention has been here given, in conflruding thefe buildings, to prevent, by an apparatus of this kind, the effeds of lightning. Thefe, my Lord, are my anfwers to M. Calan- drini’s queftions. If they are fatisfadory to that ingenious gentleman, or have the leafl tendency to public utility, I fhall be gratified. As I know your Lordfhip’s zeal for philofophical difeuffions, I have taken the liberty of fending you thefe queries and * Philofophical Tranfa&ions, Vol. LII. p. 341. my / Tbi/os. Trans. Vo/. ^4 Tub . XI V P.22/ [ **7 3 my anfwers to them, as a teftimony of the very great efteem and regard, with which lam, My Lord, Your Lordfhip’s moft obedient, humble fervant, Lincoln’s Inn-Fields, June 26th, 1764. W. Watfon. XLI. An Account of the Effe&s of Light- ning in St. Bride’s Church, Fieet-ftreet, on the 1 8th A of the effects the lightning on Mon- day fe’n night had in my neighbourhood. The ftorm which came from the South-eaft, broke firfl on the two houfes at the bottom of Eflex-ftreet (which look irotn their fouth windows upon the river) and beat down feveral feet of the eaft-flue of the chimney on the weft fide, and feparated the remainder down to the roof of the houfe from the weftern flue by a wide crack. From hence the lightning went higher up the ftieet, and at trie diftance of about eighteen yards from the chimney juft mentioned, went thro’ the eves of a houfe, in a direction from the North- eafl: to the South weft, as appeared by the breach, and forced the cieling of the garret inward by a kind of pointed bulge, without breaking the laths. It con- tinued up the ftreet, perhaps along the leaden gutter, over the eves of the houfes for thirty yards, as j o-uefs, and turned downward by the lide of a leaden pine made to convey the water from the top of the houfe, and tore a wooden cafe at the lower end of that pipe* cracked the wall near that place, and broke feveral Hh 2 panes C 236 ] panes of glafs in the kitchen window next it. The wall that was cracked was blackened, and there was a ftrong knell of fulphur in the ftreet. On the eaft fide of the ftreet, the lightning broke the fouth garret window of the bottom houfe, threw down the eaftern flue of the chimney down to the roof of the houfe, and took away part of the weftern flue. The lightning feemed to have paffed between the garret window and the chimney, as the window was damaged on the weft fide ; but the chimney, which flood weft of the window, on the eaft fide. The tiles on the roof of both houfes were broken both on the fouth and north fide in a deep furrow, as if a heavy plough had pafted over them. The houfe laft mentioned has a door on the eaft fide, which opens into a garden looking into the Tem- ple ; from this door there are feveral ftone fteps down to the garden. On the left hand of the fteps is an iron rail. 1 have reprefented the fteps and rail as well as I can in the figure. E A B is an iron rail fupported by an iron balufter B C ; B D is the fame rail continued down the fide of the fteps, and fupported at D by the iron balufter D E. The lightning, conducted (as I fuppole) by the [ 237 ] the rail AB to B, and from thence by the balufter B C to C, druck off the corner of the done dep at C, without any difcolouring of the ftep ; the piece druck off might be three or four pounds weight. Part of the lightning, conducted farther from B to D along the iron rail was carried by the baluder D E to E, and a large piece was ftruck off from the cor- ner E of the done dep ; there was no difcolouring of the dep. The piece, which I took up in my hand, might be three or four pounds weight, and fitted the broken corner of the dep exadtly. This iron rail is within three feet of a leaden pipe, which comes down from the top of the houfe, and is not continu- ed to the ground. The lightning went up the ead fide of the dreet without any effed, till, at about the didance of 70 yards from the bottom houfe, it druck the dag pave- ment near the iron rails of the adjoining houle, and broke off a piece of the dag done, weighing, per- haps, two pounds 5 there was no difcolouring here, but, as in the done deps before mentioned, the ap- pearance was as if the done had been broken by the blow of a Hedge hammer. One continued leaden gutter runs over the eves of thefe houfes on the ead dde as well as on the wed fide. The effeds of the {hock were very particular on fome perfons. A lady in the bottom houfe on the ead fide, who had left the room which looks over the river, to avoid the lightning, and fat near a win- dow which looks diredly up the dreet towards the north, fell from her chair ; but her lurprize was fo great that fhe cannot fay whether fhe was thrown down by the concuffion of the air, or fell by the fright. . t . [ 238 ] nghf. She (ays, (he felt the lightning on her arm, and had a very odd fenfation like what (he fuppofes peop.e feel by the eledrical (hock ; (lie further fays, her arm fmelt very ftrong of fulphur for a conlider- able time, though (he went out of the houfe im- mediately. Another lady, who lives on the weft fide of the ltreet, in the houfe the roof of which was bulged in, as has been mentioned, as fhe fat on the bed with a window open behind her, which looks to the weft, was thrown off the bed on a child, who fat on a chair by the bedfide. The fenfation the {hock gave her, was as it were of a blow crofs her {boulders. y houfe is on the eaft fide of the ftreet, next door but one to that where the fteps were broken and the chimney thrown down. I was at home in the fore room 011 the ground floor. I felt a greater {hock and concuflion in the air than I had ever obferved before irom thunder. A gentleman, who was with me, fays, what he felt was moft like the fenfation produced by the preflure of the water when a man leaps into it. EfTex-ftreet, June 28, 1764. I am, Sir, With great relpeft, Your moft humble fervant, Thomas Lawrence. ■XLIII. An C 239 ] XLIII. An Account of what appeared on Opening the Body of an aflhmatic Perfon : By W. Watfon, M. D. F. R S. ' To the Royal Society. Gentlemen, ^^1764 [2> /\ ^ nothing tends more to illuflrate ./"CIl the nature of uncommon difeafes than the examination of morbid bodies after death, I take the liberty of communicating the following hiflory. Mr. W. aged twenty eight, confulted me at the latter end of November 1763. He had for about two months laboured under great difficulty of re- fpiration, for which he had taken great variety of medicines without any relief. He had been largely bled, which, without helping his refpiration, had greatly depreffed and weakened him. The air of the country, where he had relided fome time, made not the leaf! alteration in his complaint, which daily grew worfe. When I faw him, his breathing was exceedingly difficult; the heat of his fleffi moderate; his pulfe too quick, beating about an hundred ffiokes in a minute, and withall low and thready, indicating great want of fluid in the arterial fyflem. He coughed veiy frequently, and what he expectorated was vi- fcid; but neither purulent nor bloody, and in no great quantity. He was without thirft. His nights were almoA without fleep, on account of the diffi- culty * C 240 ] culty of refpiration ; he not having been able to lie down in bed for fome time, more efpecially on his right fide. 1 o relieve him, I ordered at intervals blifters to his legs and fide, which, though they difcharged liberally, did fcarce help his refpiration. I likewife during about ten days, that I faw him, directed fo- lulions of the foetid gums, volatiles, Conf. V)a?nocratis cumVmo Antimon. Vinegar of fquills, volatile oily mix- tures, and other antifpafmodics and attenuants with plentiful dilution. The Conj'eSt, Damocratis cum Vino Antimoniali at firft much relieved him, and he was enabled to lie down in his bed; but this relief was temporary. He generally grew hot, and more uneafy towards evening; and one night, during my attending him, he was feized with a violent pain in his right fide. For this he loft feven ounces of blood, which, though it fomewhat funk him, very much abated the violence of his pain. Frequently likewife in the night, notwithftanding that the feafon was cold, he, on account of the diffi- culty of his refpiration, ordered and infifted upon the windows of his chamber being opened, to gratify himfelf with yet cooler air than that of his cham- ber. Two or three days before he died, his refpiration was extieamly laborious; he fweated profufely ; and hisftrength growing lefs and lefs, he expired without the leaft convulfion. Several days before his death, he took large dofes of Vinegar of fquills four or five times a day. This, though it did not in the leaft offend his ftomach, did not r [ 241 ] not promote his expectoration, which ftill continued vifcid. From a careful confideration of this difeafe I was of opinion, that it was confined to the lungs: that thefe, efpecially on the right fide, adhered to the pleura : that their fubftance was occupied by tubercles, or fomething analogous thereto, which greatly difturbed their fundtions. The feverifh heat and quick pulfe I confidered as fymptomatic of, and occafioned by, his extremely laborious re- fpiration. As I was very defrrous of feeing the date of his lungs after death, my requeft to fatisfy myfelf was compliea with ; and this examination was fufficiently convincing, that toe difeafe v/as of too fevere a kind to admit of a cure. Upon lifting up the _ fternum, the lungs were enormoufly did; ended with air, which no preffure could force back through the windpipe. This air was ext iava fate, had burfl through the extremities of the bronchia and vehicular fubftance, and had infinuated itfelf throughout the whole fubftance of the lungs, in which it was detained by the membrane invefting them. In a word, the whole fubftance of the lungs was in a ftate truly emphyfematous. In feveral parts this air had formed large bladders, which, though no preffure upon the furface of the lungs could force back, a flight incifion into them per- mitted to efcape, and caufed the whole lobe to collapfe. Befides this emphyfematous affedtion of the whole fubftance of the lungs, the pulmonary vein was in ah its parts diftended into numberlefs varices, many Vol. LIV. Ii 0f [ 242 ] of which were of the fize of the fmall, or Lucca olive, and were diftended with grumous blood. Befides thefe, there was a larger cift in the right lobe of the lungs, which was filled with deep- coloured ichor : this lobe adhered to the pleura in great part of its furface. The lungs in general were of a deep red colour, and here and there upon their furface be- ginning to fphacelate. The figure of the human heart is that of a cone, divided through its axis; but in this cafe, the hearts figure was altered, and was more compreflcd than ufual; and its ventricles difiended with grumous blood. Every other part of the body was in its natural fiate. From this examination we find that in this infiance refpiration was greatly difiurbed, to fay nothing of the cift in the right lobe, nor of the adhefion of that lobe to the pleura, from two manifeft and potent caufes; viz. the varicofe fhte of the pulmonary vein, and the emphyfema throughout the whole fubftance of the lungs. The ‘varices of the pulmonary vein not only re- tarded the blood in its pafiage to the left auricle of the heart; but, occupying a much larger fpace in the lungs than they naturally fliould, they left lefs room for the minute ramifications of the bronchia to ex- tend themfelves ; and eonfequently a lefs quantity of air was taken in at every infpiration than was ne- ceflary for the ordinary purpofes of life. But the diforder of the lungs from the ‘varices was made infinitely worfe by the emphyfema. For by theextravafate air pofieffing fo large a portion of the lungs, and which the patient could by no means part with [ 243 ] ' \yith in exfpiration, very little room was left for frefli air in infpiration; the lungs, from the emphyfema, and fiom the difeafed hate of the pulmonary vein, ruling almoh the whole cavity of the thorax. This not only occafioned an enormous defed in the quan- tity of air in infpiration necehiiry to the purpofes of hfe, but by the preternatural compreflion the motion of the blood was retarded in the lungs, more efpe- cially in their fmaller vefTels. This affeded not only the ferous extravafation in the cih before-mentioned, but occafioned thofe general obhrudions in the blood veffels of the lungs, which brought on the fphacelated appearance; and finally, by the increafe of the com- plaint, was the caufe of death. This extraordinary dihenfion of the lungs accounted for the heart’s being of a more compreffed°figure than is ufually feen. In the prefent inhance an ahhma was occafioned by two caufes, either of which has hitherto been fcarce coniidered as conducing thereto; the one an emphyfema, and the other a varicofe aftedion of the pulmonary vein. Had the caufes of this difeafe been as perfedly known during the life of the patient, as fince his death, the cafe would not have admitted of a cm e ; as there was no method of difcharging the extravafate air from the lungs; neither could any medical procefs alter or amend the varicofe hate of the pulmonary vein. ' Such a hate of lungs, as that juh now defcribed, in an otherwife healthy young man, could not, I was perfuaded, happen but from fome very powerful caufe; and, upon enquiry, I was informed, that about the beginning of Odober, not two months before his death, from fomething which had greatly offended I i 2 his E 244 1 his ftomach, he was feized with violent and long con- tinued vomitings. Thefe, though at length they were quieted, left his cheft very fore. From this time his cough became troublelome, as did remarkably his fhortnefs of breath upon the leafl motion, attended with the feveral circumflances above defcribed. From confidering the hiftory of this difeafe, and comparing it with the appearance of the lungs after death, I cannot but be of opinion, that the violent efforts to vomit occafioned primarily both the em- phyfema, and the varices of the pulmonary vein. This opinion, I flatter myfelf, will not, to perfons well vei led in the animal (Economy, feem ill founded, when they reflect how forcibly the lungs are prefled in violent efforts to vomit, both by the mulcles fub- fervient to refpiration and the abdominal mufcles, as well as by the contents of the abdomen itfelf. And it is wonderful, when the texture of the lungs is confidercd, that accidents of this kind do not much oftener happen, not only in vehement Teachings to vomit, but in violent coughs, pains of childbirth, lifting great weights, and other preternatural exertions of flrength. When once the extremities of the bronchia and the veficular fubftance have given way, the mifehiefs are eafily forefeen. The air getting loofe into the fubflance of the lungs cannot be parted with in exfpiration ; it confequently is retained there, and the fpace it occupies prevents as much of the ' external air being received into the lungs as its own quantity. As, from their inceflant motion, injuries to the lungs are not eafily removed, when once a rupture is made, every fit of coughing or other vio- lent exertion extravafates more air. Hence the rup- ture C 245 ] ture dill continuing, and probably increafing, more and more air becomes extravafate, until, as in the prefent cafe, the quantity becomes fo great, as not only to impede the coutTe of the blood through the lungs, but the internal preflure of the extravafate air pre- vents the ingrefs of a quantity of frefh air, fufficient to cool and attenuate the blood. In fadt, a fmall part only of the lungs is employed ; as the extravafate air, though dill in an elaftic date, anfwers by no means the purpofesof frefh air in refpiration j as the former, by its confinement in the lungs, is very foon deveded of its vivifying fpirit, that principle which is foon dedroyed in animal bodies, and which fume chemi- cal phyfiologids have fuppofed to be an acid nitrous Gas, and is mod eflential to human life. Hence, in a very diort time, the effedls are too obvious to be mentioned 3 and death mud loon follow, as hap- pened to the perfon, who is the fubjedt of this com- munication. I am, with all poffible regard, Gentlemen, July 6, 17^4. Your mod obedient Humble fervant, W. Watfon. XLIV. An 1 [ *46 ] XL IV. A Letter to the Marquifs of Rock- ingham, with J'otne Observations on the Effects of Lightening . To the moft honourable the Marquifs of Rockingham. My Lord, Read July 28, y Have taken the liberty of addrefflng . A the inclofed paper to your Lordfhip, as it contains a few obfervations on a fubjedt not un- known to you, and may probably be thought of ge- neral ufe. & I have a further reafon for addrefling it to your Lordfhip, as it gives me an opportunity of expreflino-, m l'ome fmall degree, the high fenfe of gratitude^I bear your Lordfhip, for many and repeated favours and obligations conferred on, My Lord, Your Lordfhip’s moft obedient. June 24, 1764, Crreat Queen-ftreet, London. and moft humble fervant, Benjamin Wilfon. LONG C 247 ] Confideratiom to prevent Lightening from doing Mifchief to great IV orks , high Buildings , and large Magazines : jBy Mr. Wilfon, F.R.S. and Member of the Royal Academy oj Sciences at Upfal. TONG experience, fince the difcovery by Dr. Franklin, has now eftabbfhed a truth amongft philofophers, that lightening, like the eieCtric fluid, pa lies more freely through iron, copper, and other metals, than through dry wood, ilone, or marble. Inftances of this truth are innumerable : and to convince us thereof, we need only trace the late vio- lent effects of lightening on St. Bride’s Church, and the houfes in EfTex-ftreet, &c. For, upon examining thefe buildings, it appears, that there are certain thick bars of iron, through which the lightening has paft, without producing any vifible effects : and on the contrary, in certain parts where the junctions of thofe bars with the hone, or wood, are made, there the lightening, rufhing from the iron, has broke the ftone to pieces, and fhivered the wood. From the like experience we alfo learn, that if the iron is too {lender for conducting the lightening, it is either dafhed into pieces, or exploded like gunpow- der; juft in the fame manner as we are able, by the eieCtric power, to break and diffipate in vapour a very (lender wire. Bars of metal, of a proper thicknefs, and conveniently difpofed, feem therefore neceffary for the fecurity of inch buildings. It is to be noted, that the mifchiefs caufed by lighte- ning are not always owing to its direction from the clouds to the buildings or other eminences, and thence to [ 248 ] the greater rejiftance arifing from the unCtuous nature of the pine trees. LVI. Solis [ 254 ] XLV. Solis DefeStus obfervatm in Collegio Romano a Pair thus Societatis Jefu die prima Aprilis Anno mdcclxiv. 'Tempove vero poji media??! noftem, 8’ T N hoc obfervando Solari deliquio adhi- X buimus praxipue tclefcopium objedtivo micrometro inftrudtum, egregium opus Jacobi Shortii, a Praeneftino principe iterum jam humaniftime nobis commodatum, pro quo beneficio maximam illi, dum erimus, habebimus gratiam. Cum hoc inftrumenti genere in Italia nulla lit hadtenus oblervata ecliplis, ab exteris vero nationibus, fi quid hac in re prasftite- runt, nihil ad nos pervenerit, quod Sc aliis pluribus k contigifle arbitrari fas eft, obfervationem hanc no- ftiam, aftronomis praefertirn Italis, non injucundam fore cenfuimus. Diftipata nebula rarae nubes, quas fuperfuere, im- pedimenti quidem aliquid obfervationi attulerunt, ut plurimum tamen Sole fatis claro uft fumus. Ex obfervationibus decern diameter Solis deficientis, cui ex Parienfi Ephemeride refpondent igzi"3 4, deprehenl'a eft intercipere micrometri particulas 2260: Summum autem inter omnes dilcrimen particulas duas non exceftit. Eclipfis initium animadverfum eft tubo palmo- rum decern 9h 49' 87/ : Finis vero eodem tubo I 2h 52' 49". Definivimus turn chordas oblcurationis, turn di- ftantias limborum Solis ac Lunaa fecundum lineam conjnn- [ 255 ] conjungentem utriufque centra, nulla digitorum ha- bita ratione : maluimus enim tempus adnotare, quo aliquid accurate obfervatum videbatur; quam ex- pedtaie, ut obfcuratio certain menfuram attingeret; ne aut nubes, aut impedimenta, quas loci anguftiae objecere plurima, faspius obfervationem fubriperent nullus autem ad curiofos arcendos homines rem om- nem perturbaturos opportunior locus occurrebat : eas^* dem fuere cauilie, cur hoc inftrumentum adeo ac- curate aliqua non exhibuerit, ut in aliis pluribus ex- perti fumus.. 1 2 Chordas limbi obfcur. h 9 56 31 io 014 Dift. limb. Solis, et Lunae. 3 5 O 4 11 26 19 5 3 1 J7 6 34 1 1 7 A 53 53 8 1211 53 9 21 32 10 25 12 11 27 28 12 29 16 J3 3° 43 33 38 817 I. 1016 II. 1 192 III. 2095 IV. 2083 V. 2077 VI. T949 VII. 1729 VIII. 1561 IX. 1484 H32 1 1388 1 *349 j 1257 h / // 6 59 1853- 16 18 1636 33 3 1273 56 38 825 9 49 636 *5 18 618 21 45 618 39 32 798 45 16 8 94 Ex obfervationibus VI, VII, VIII invenimus per interpolationem limborum diftantias tempore obfer- vationum 4, 5, 6 ex ordine fuiffe 639, 682, 716. [ 256 ] Ex datis eodem tempore Solis diametro, chorda partis obfcuratae, & limborum diftantia, in fingulis obfervationibus Lunas diameter in micrometri parti- culis ex ordine prodiit 2114, 2110, 2114. Hinc Lunas diameter circa horam 11 30' ftatui poteft partium 2112,7, quibus refpondent fcrupula fecun- da 1796,1. In inveftigandis tamen centrorum di- flantiis, quas in fequenti tabula in fcrupulis fecundis damus, ufi fumus conftanti diametro 1795^, quia totum inter maximam & minimam difcrimen Eclip- iis tempore eft circiter 3", & ea, quam mox inve- nimus, media eft aliquanto major. DISTANTIiE CENTRORUM. Ex obf. h / // // 1 9 56 3 1 *723 2 10 0 J4 i645 3 5 0 I557 I. 6 59 1512 II. 16 18 1328 III. 33 3 1019 IV. 56 38 638 V. II 9 49 495 VI. 18 462 VII. 21 45 462 4 26 l9 472 5 3 1 l7 51 9 Ex obfervationibus h 6 u 34 // 1 1 // 54° VIII. 39 32 6i5 IX. 45 16 697 7 53 53 832 8 12 11 53 1 ^ 34 9 21 32 I299 10 25 12 ^63 1 1 27 28 1403 12 29 16 *435 13 3° 43 1461 H 33 58 1520 , VI, VII, VIII, mutuo comparatis minima centrorum diftantia contigiffe vi- detur uh 18' 45", eaque faille 45s7', adeoque max- ima obfcu ratio digitorum 8 43'. Juniores aliqui ex noftris ex Solis imagine per tubum opticum in chartam tranfmifta obfcurationem maximam, nobili & erudita fpe&ante [ 257 ] ■ ipedtante multitudine, asftimarunt digitorum fere 8 i, alius vero alibi eadem ratione obfervans digitorum 8.1, ac pluribus habitis circa illam oblervationibus vix io/ in tempore definiendo a noflra determinatione defecit. Lun$ diametrum ex eclipfi definitam cum diame- tio extra Solem conferre conati fumus : verum die tertia Aprilis aegre admodum obfervari potuit propter nimiam Lunaris lucis tenuitatem, cui plurimum etiam cfficiebant refiduum aliquod crepufculi lumen, & in horizontis vicinia vapores. Eas proinde obfervationes, licet multum neque inter fe, neque ab inventa dia- metro difcreparent, rejecimus, ut certiores obtinere- mus die quarta ; fed ea quoque die non levem experti fumus difhcultatem, quia Lunas cornua in exiliffimas tenuabantur lineas ab ejufdem afperitatibus umbra identidem interruptas : eas nihilominus, ut nobis fefe obtulerunt, hie fubjicimus in micrometri particulis. D I E QJJ ARTA APRILIS. °bf. h , 1 8 o 2 7 3 4 23 5 29 6 35 Diam. Lunas. Veip. 2096 2094 2093 2087 2088 2086 Converts micrometri particulis infcrupula lecunda^ primo correximus diametri decrementum a refradti- one ortum, nam diameter obfervata inclinabatur ad horizontem gradibus circiter 18, ut idem telefcopium indicavit: base autem corredtio in ultima obfervatione, Vol. LIV. L 1 in [ 258 ] in qua maxima fuit, inventa eft i",2. Secundo, ex obfervationis hora determinavimus Lunas horarium, ac declinationem, atque inde ejus altitudinem turn veram, turn apparentem. Tertio, ex iis inveftigavi- mus Lunas diametrum horizontalem ope trianguli conftituti a femidiametro terrcftri, atque a redis dudis a centro Lunas ad lpedatorem, & ad telluris centrum. Ex fingulis obfervationibus has prodierunt. Diam.horiz, Lunas. Ex. obf. 1 2 3 4 5 6 Media augenda eft // l77 3> I772= J772’ Diameter Lunas horizon- talis die quarta Aprilis circa 7 horam odavani ex Parif. 8 Ephem. eadem eft adamuf- 9 ftm, ac in ipfa eclipii, in quo 1768, 4 feniibilis error efte non poteftj 1770, o cum enim Luna circa Apo- 1769,0 gasum verfaretur, diametri • variationes erant exigus, quas 1771, 1 Aftronomicas Tabulas exhi- bent fatis accurate : tantum ea quantitate, quam poftulat apparens altitudo Lun$ 1 ih 3o;, quas fuit circiter grad. 52 4 : quo fado additamento diametrum Lunas obtinuimus 1793/ 32' Ab ea quam ex Eclipfi collegimus, dif- crimen eft 3", quod ad unicum redigitur, ft rejician- tur tres pofteriores obfervationes, quas minus certas arbitramur, quia oculus prioribus defatigatus (fumma enim opus erat contentione) fortafte fadus eft minus idoneus ad languidam Lunae lucem percipiendam. XLVI. A A Fy.l. A C 2S9 ] XL VI. The Defcription of a New Hygro- meter , invented by James Fergufon, F.R. S. Read Nov. 8, t ]\f this machine (Tab. XVI. Fig. i. and 2.) I7&4' 1 A AAA is a frame of wainfcot or ma- hogany, grooved in the innermoft edges of the two longeft fides, for holding a pannel BBBB of white deal-board, without pinching it. The pannel is about the thicknefs of a crown piece, and fifteen inches in length, crofs-wife ,to the grain of the wood. The middle part projects out- ward from the upper and lower edges, at C and C, where it is faftened into the frame by two fcrews, to keep the middle part always in the fame place, whilft the reft of the pannel expands by moifl air toward both ends'of the frame, and contracts toward the middle when the air is dry. F is a pin fixt into the pannel near one of its ends, and a round pin is fixt near the other end of the pannel, on which the large pulley H turns, and alfo the fmall pully G which is fixed to H. One end of a fmall flexible cord DE is faftened to the pinF, and the other end goes round the pully G, and is fixt into the bottom of its groove, as at h. One end of another fmall cord I K is fixed into the bottom of the groove of the large pulley H, as at a , from which it goes round the part a i H ; and in its way thence to M it goes round a fmall pulley L, in which an axis is fixt, and turns in the piece O, which lies above the pulley, and is fcrewed to the upper fide of the frame at C. This cord goes over the pulley M (which turns cn a round pin fixt into the pannel) and has a flattifh weight N hung to it. — The pullies G and L are of equal diameters in their grooves, which is only equal to a tenth part of the diameter of the large pulley H in its groove. The pulley M may be of any convenient fize. Now it is plain, that as much as the pannel expands between F and G, fo much will the pully G be removed farther from the pin F; and juft fo much will the cord DE turn the pulley G backward ; and any point in the L 1 2 groove r 260 ] groove of the pulley Ii ten times as much, becaufe it is ten times the diameter of G in the groove: and this mo- tion will caufe rhe cord I K to turn the pulley L (and draw up the weight N) ten times as much as the pulley G is turned. So that, if the pannel expands a tenth part of an inch, by moilt air, the pulley L will be turned quite round: and half round if the pannel expands but a 20th part of an inch: As the air grows dry, the pannel con- tracts, and the weight M defcends and turns all the pul lies the contrary way. The back of the plate A A (Fig. 2.) is fcrewed to the other fide of the frame (Fig. i.)lo as the ftraight edge of the plate may be even with the uppermoft fide of the frame, and the center B (Fig. 2.) may be direCtly over the center of the pully L (Fig. 1.) on whofe axis the index BC (Fig. 2.) is fixed. And as the pulley L is turned by the cord IK, the index will be moved on the plate, and Ihew the degrees of moiflure or drynefs of the air. If the expanfion and contraction of the pannel be fo great as to move the index beyond the limits of the degrees on the plate, this may be remedied by putting on a larger pulley at L. — But if not great enough, in very wet and very dry weather, to move the index through all the de- grees 011 the plate, the pulley L mult be made lefs in dia- meter accordingly. Ar. B. In three or four years at moll, a new pannel fhould be put into the frame: becaufe, when the old one has been fo long expofed to the air, it will almoft ceafe to be affected thereby. And therefore, a large thick piece of deal Ihould be kept in re- ferve for that purpose ; and about the thicknefs of a card always planed off that fide from which the new pannel is to be taken. At G and M, there muft be fmall knobs of fome hard wood glued on the back of the pannel below the graduated plate, to make a proper thicknefs for holding the wires upright and fait on which the pullies G and M do turn : for othcrvvifc, the wires would foon loofen in the pannel. 2 c XLVII. Exfe- [ 261 ] XLV1I. Experiments and Observations on the Compref- JibiBty of Water and feme other Fluids , by John Canton, M. A. aiid F. R. S. Read Nov. 8, 1764. ’N a paper lately laid before the Roy- al Society *, I net only related the experiments by which I found water to be com- prefllble, but alfo thofe by which I difeovered how much a given weight would comprefs it when in a temperate degree of heat. By limilar experiments made fince, it appears that water has the remarkable property of being more compreflible in winter than in fummerj which is contrary to what I have obferved both in fpirit of wine and oil of olives : thefe fluids are (as one would expedt water to be) more comprefllble when expanded by heat, and lefs fo when contracted by cold. Water and fpirit of wine I have feveral times examined, both by the air- pump and condenfer, in oppofite feafons of the year: and, when Fahrenheit’s thermometer has been at ^4 degrees, I have found the water to be com prefled by the mean weight of the atmofphere 49 parts in a million of its whole bulk, and the fpirit of wine 60 parts ; but when the thermometer has been at 64 degrees, the fame weight would comprefs the water no more than 44 parts in a million, and the fpirit of wine no lefs than 71 of the fame parts. In making thefe experiments, the glafs ball containing the fluid to be comprefled muft be kept under water, that the heat of it may not be altered during the operation. The compreflion by the weight of the atmofphere, and the fpecific gravity of each o! the following fluids, (which are all that I have yet tried,) were found when the barometer was at 294 inches, and the thermo- meter at 50 degrees. * See Philofophical Tranfa&ions, Vol. LII. p. 640. [ 262 ] Millionth parts. Specific gravity. Compreffion of fpirit of wine 66 — 846 Oil of olives 48 — 918 Rain-water - 46 — 1000 Sea- water - - 40 — 1028 1 Mercury - - 3 — 13595 Thefe fluids are^not only compreffible, but aifo eiaftic : for if the weight by which they are naturally compreffed be diminifhed, they expand; and if that by which they are compreffed in the condenfer be re- moved, they take up the fame room as at firft. That this does not arife from the elafficity of any air the fluids contain, is evident ; becaufe their expanfion, by removing the weight of the atmofphere, is not greater than their compreffion by an equal additional weight : whereas air will expand twice as much by removing half the weight of the atmofphere, as it will be compreffed by adding the whole weight of the atmofphere. It may aifo be worth obferving, that the compref- fions of thefe fluids, by the fame weight, are not in the inverfe ratio of their denfities or fpecific gravities, as might be fuppofed. The compreffion of fpirit of wine, for inftance, being compared with that of rain-water, is greater than in this proportion, and the compreffion of lea-water is lefs. The weight of 324 feet of fea- water is equal to the mean weight of the atmofphere : and, as far as trial has yet been made, every additional weight equal to that of the atmofphere, compreffes a quantity of fea- water 40 millionth parts; now if this conflantly holds, the fea, where it is two miles deep, is com- preffed by its own weight 69 feet 2 inches ; and the water at the bottom is compreffed 1 3 parts in icoo. XLVI1I. Conafi [ 263 ] XLVIII. Concife Rules for computing the Fjfe&s of RefraBion and Parallax in va- rying the Apparent Diflance of the Moon from the Sun or a Star ; alfo an eafy Rule of Approximation for computing the D fi- ance of the Moon from a Star, the Lon- gitudes and Latitudes of both being given , with Demonflrations of the fame : By the Rev. Nevil Mafkelyne, A. M. Fellow of Trinity College, in the Univerfity of Cam- bridge, and F. R. R. Read Nov. 15, 1 H E following rules, excepting one, are the fame which 1 have already communicated to the Royal Society, but with- out demonftration, in a letter to the reverend Dr. Birch from St. Ilt-lcna, containing the refults of my obfervations of the distance of the Moon from the Sun and fixed ftars, taken in my voyage thither, for finding the longitude of the fhip from time to time; fince printed in Part II. Vol. LH. of the Philofophi- cal TranfaCtions for 1762. The two rules for the correction of refraCtion and parallax 1 have alfo fince communicated to the public in my Britifh Ma- riner’s Guide to the difcovery of longitude from like obfervations of the Moon ; and have added in the Preface a rule for computing a fecond but fmaller cor- rection of parrallax, neceffary on account of a fmall imperfection 4 [ a6+ ] imperfection lying in the firSt rule derived from the fluxions of a Spherical triangle. To the rules I have here fubjoined their demonstrations. With refpeCt to the ufefulnefs of thefe rules, I cannot but entertain hopes that they will appear more Ample and eafy than any yet propofed for the fame purpofe : the lait rule, for computing the diftance of the Moon from a ftar, though only an approximation, being fo very exaCt, feems particularly adapted for the conftruCtion of a nautical Ephemeris, containing the distances of the Moon from the Sun and proper fixed Stars ready calculated for the purpofe of finding the longitude from obfervations of the Moon at lea ; an affiftance which, in an age abounding with fo many able computers, mariners need not doubt they will be provided with, as Soon as they manifelt a proper difpofition to make ufe of it. A RULE To compute the contraction of the apparent distance of any two heavenly bodipc by rpfraCtion • the ze- nith distances of both, and their distance from each other being given nearly. Add together the tangents of half the fum, and half the difference of the zenith distances ; their fum, abating io from the index, is the tangent of arc the firSt. To the tangent of arc the firft, juft found, add the co-tangent of half the distance of the Stars ; the fum, abating io from the index, is the tangent of arc the Second. Then add together the tangent of double the firSt arc, the co-fecant of double the fecond T////OJ. Trcuw. Vri.ZIV. TAB.XM. i %.% ssHjmJf l/". [ a65 ] double the fecond arch, and the conftant logarithm of ii 4" or 2,0569: the fum abating 20 from the index, is the logarithm of the number of feconds required, by which the diftance of the liars is con- tracted by refraCiion: which therefore added to the obferved diftance gives the true diftance cleared from the effeCt of refraction. Explication of the foundation of the preceding rule. This rule is founded upon an hypothecs that the refraCtion in altitude is as the tangent of the zenith diftance : and the refraCtion at the altitude of 45 degrees being 57" , according to Dr. Bradley’s ob- fervations, therefore the refraCtion at any altitude, calling the radius unity is = 57" x tangent of the zenith diftance. This rule is exaCt enough for the purpofe of the calculation of the longitude from obfervations of the diftance of the Moon from ftars at fea as low down as the altitude of io°, for there the error is only 10" from the truth. But, if the altitude of the Moon or ftar be lefs than io°, the rule may be ftill made to anfwer fufticiently, by only firft correcting the obferved zenith diftances by fubftraCt- ing from them three times the refraCtion correfpond- ing to them taken out of any common table of re- fraCtion, and making the computation with the zenith diftances thus corrected. This correction depends upon Dr. Bradley’s rule for refraCtion, which he found to anfwer, in a manner exactly, from the zenith quite down to the horifon, namely that the refraCtion is = 57" x tangent of the apparent zenith diftance Vol. LIV. M m leffened [ 266 ] lefTened by three times the correfponding refra&ion taken out of any common table. Demonftration of the preceding rule. Let ZXY Tab. XVII. Fig. i. reprefent a fphe- rical triangle formed by great circles joining the ze- nith Z and the ftars X and Y. Refradtion adting in the vertical circles ZX and ZY wilL carry the Rar X nearer the zenith by a quantity Xb=z^y" x tangent of Z X, and the ftars Y towards Z by the quantity Y d= 57" x tangent of Z Y ; fo that the apparent diftance of the two ftars will be b d inftead of X Y or lefs than X Y, the true diftance, by the Sun of the two little fpaces Xa> Y ey terminated by the perpen- ndiculars b a and d e. The little fpace X a — X b X cofine of the angle ZXY (calling radius unity) = 57 " X tang, of Z X x cofine of angle ZXY, or, by fpherics, = 57" x tang, of X P. (Z P being an arch drawn from Z perpendicular to the arch XY). In like manner the little fpace Ye — 57" X tang, of Y P ; and therefore X a 4- Y e or the total effedt of refradtion = 57" x tang. XP ~\- tang Y P. Let M be the middle of the arch X Y, and put the tan- gent of X M or Y M or X Y = t> and the tan- gent of M P, or the diftance of the perpendicular Z P from M the middle of the arch XY = By trigonometry, tang, of X P or XM-j-MPz:—, and tang, of Y P or Y M — M P — * — — ; the funi 1 + t n of which, or tang. XP -f tang. YP t + n + t — n 2i + 2t n I — fn* 2 t n l-fnx I + ri 2 n 1 -tn 2. Now 1 -Ytn 2 t n [ 267 ] is the tangent of double the angle whofe tan- gent is t n, and t n or the product of the tangents of 4- X Y and M P, by fpherics, is equal to the product of the tangents of half the fum and half the difference of the zenith diffances Z X and Z Y ; whence n- *s ecluai t0 ^ tangent of double arch the firft found by the rule. Alfo arch the fe- cond found by the rule being by fpherics — M P, whofe tangent is reprefented by 72, and being 2> Tl by trigonometry equal to the cofecant of double the arch whofe tangent is therefore — ^ = cofecant of 2 MP or double arch the fecond. Whence the rule is manifeft; namely, that Ha q-' Y e, the total effeCt of refraction in contracting the apparent diffance of the two ftars = 57" x tan. X Pq-tan. YP = double 57" or 114" x tang, of double the frit arch x cofecant of double the fecond arch. Q^E.D. REMARK. When the perpendicular arch ZP, let fall from the Zenith on the arch X Y, falls without the trian- gle Z X Y, the effeCt of refraCtion in diminifhing the apparent diftance of the ftars X, Y is the differ- ence of X a and Y e : but the rule being general, gives always the fum or difference, which- ever it be, which is a great advantage* and removes all grounds of ambiguity in the correction of refraCtion ; as the the total effeCt thereof always diminifhes the dift- ance of two ftars from each other, however they are pofited. Mm2 A 26 8 ] A RULE To compute the contraction or augmentation of the apparent diftance of the Moon from a ftar, on ac- count of the Moon’s parallax ; the zenith diftances of the Moon and ftar, and their diftance from each other being given nearly. Add together the tangents of half the fum, and half the difference of the zenith diftances of the Moon and ftar, and the cotangent of half the dift- ance of the Moon from the ftar ; the fum, abating 20 from the index, is the tangent of an arch, which call A. Then, if the zenith diftance of the Moon is greater than that of the ftar, take the Sum of the arch A, juft found, and half the diftance of the Moon from the ftar; but, if the zenith diftance of the Moon be lefs than that of the ftar, take the difference of the faid arch A and half the diftance of the Moon from the ftar ; and the fum, or dif- ference call B. To the tangent of B, thus found, add the cofine of the Moon’s zenith diftance, and the logarithm of the Moon’s horizontal parallax, ex- prelf'ed in minutes and decimals ; the fum, abating 20 from the index, is the logarithm of the effedl of parallax, tending always to augment the apparent diftance of the Moon from the ftar ; except the ze- nith diftance of the Moon be lefs than that of the ftar, and, at the fame time, the arch A be greater than half the diftance of the Moon from the ftar, in which cafe the effedt of parallax diminifhes the ap- parent diftance of the Moon from the ftar. 2 DEMON- [ 269 ] DEMONSTRATION. In the fpherical triangle Z L S, fee Fig. 2, 3,4, and 5th, Z reprefents the zenith, L the Moon, and S the ftar; the effedt of parallax deprefling the Moon from L to r, r is the apparent place of the Moon, and r S the apparent diftance of the Moon from the ftar; let fall the perpendicular L t upon r S, produced if neceffary, and r t will be the dif- ference of L S and r S, or the effedt of parallax. Draw the arch ZP perpendicular to to rS, and let M be the middle of rS. The Moon’s parallax in altitude, being to her horizontal parallax, as the line of her apparent zenith diftance, to the radius, Lr = Moon’s horizontal parallax x fine of Z r; and rt the effedt of parallax upon the apparent di- ftance of the Moon from the ftar will be — L r x cof. Z r S — horizontal parallax x fin. Z r x cof. ZrS (or, becaufe tan. rP : cof. ZrP :: tan Z r : rad :: fin Zr : cos Z.r ; and therefore fin. Z r xcos Z r S = cof. Z r x tan r P) — horizontal parallax X cof. Zr x tan. rP agreeably to the rule. For it is evident by fpherics that the arch A, found by the rule, is the fame with M P the diftance of the perpendicular from the middle of the arch rS : and it is evident, by the infpedion of the figures, that the arch B or r P is equal to the fum of rM and M P, if the zenith diftance of the Moon be greater than that of the ftar, as in Fig. 2d and 4th ; but is the difference of r M and M P, if the zenith dif- tance of the Moon be lefs than that of the ftar, as in Fig. 3d and 5th. Laftly, it may appear from the confideration [ 270 ] eonfideratlon of the figures, that, as the effeCt of par- allax depreftes the Moon directly towards the hori- zon, fo it will always encreafe her apparent diftance from a ftar, except in the cafe reprefented by Fig. 5th i that is to fay, unlefs the zenith diftance of the Moon be lefs than that of the ftar, and, at the fame time, the arch M P be greater than r M or half the diftance of the Moon from the ftar. Q^E. D. Remarks on the ufe of the two foregoing rules. It has been remarked, after the rule for refraCtion above, that if the altitudes of the Moon or ftar are under 10 degrees, the zenith diftances muft be firft lefiened by 3 times the refractions correfponding to their refpeCtive altitudes before the effeCt of refrac- tion be computed. But in order to compute the effeCt of parallax from the fecond rule, the obferved diftance of the Moon from the ftar muft be firft corrected by adding the effeCt of refraCtion to it found by rule the firft ; as muft the obferved altitudes of the Moon and ftar be alfo corrected by taking from them their refpec- tive refraCtion in altitude, and the corrected arches thus found muft be made ufe of in computing the parallax. Only, if the altitudes of the Moon and ftar are both 10 degrees or more, part of the calcu- lation of rule the fecond may be faved, and arch the fecond, found by rule the firft, taken for arch A in the fecond rule without any fenfible error. In this cafe, it will be moft convenient to obferve the fol- lowing order of computation inftead of that before 4 prefcribed [ 27* ] prefcribed to be ufed when the altitudes are under I o degrees. i ft. Making ufe of the apparent altitudes of the Moon and ftar uncorreded, compute arches the firft and fecond by the directions contained in the rule of refradion. 2dly. Taking arch the fecond for arch A in the rule of parallax, compute the effed of parallax ac- cording to rule the fecond. 3 dly. With arches the firft and fecond compute the effeCt of refraction by rule the firft. 4thly, and laftly. Applying the two corrections of parallax and refradion duly, according to the rules, to the obferved diftance of the Moon from the ftar, you will have the true and corred diftance of the Moon from the ftar, cleared both of refradion and paral- lax. A RULE For computing a fecond, but fmaller corredion than the firft, neceffary to be applied to the obfervations of the diftance of the Moon from a ftar on ac- count of parallax. Call the principal effed of parallax, found by the preceding rule, the parallax in diftance ; and find the parallax anfwering to the Moon’s altitude. Then to the conftant logarithm 0.941 add the logarithm of the fum of the parallax in altitude and the paral- lax in diftance, the logarithm of the difference of the fame parallaxes, and the cotangent of the ob- ferved diftance of the Moon from the ftar (correct- ed for refradion, and the principal effed of paral- lax), the fum, abating 13 from the index, is the logarithm [ 272 ] logarithm of the number of feconds required, being the fecond correction of parallax ; and is always to be added to the diftance of the Moon from the ftar, firft corrected for refraCtion, and the principal effeCt of parallax found above, in order to obtain the true diftance ; unlefs the diftance exceeds 90 degrees, in which cafe it is to be fubftraCted. DEMONSTRATION. Let L Fig. 6. reprefent the Moon’s true place in the fphere, and r her apparent place as depreffed by parallax, S the place of the ftar, and L t a perpen- dicular let fall from the true place of the Moon L upon the great circle r S joining the ftar S and the apparent place of the Moon r; (all as in the four figures belonging to the preceding rule). Let L a be the arch of a parallel circle defcribed from the ftar S as a pole through the true place of the Moon L. S# terminated by the parallel circle L a, and not terminated by the perpendicular L f, as was fuppoled in the former demonstration, is equal to S L or the true diftance of the Moon from the ftar, which was therefore computed too fmall from the former rule by the little fpace a t. Let L T and a T be the equal tangents of the equal arches L S and a S in L and a, meeting in the radius C S, drawn from the centre of the fphere C and produced, in T. The fpace hat, on account of its fmallnefs, may be look- ed upon as lying all in one plane namely haT, and ha as the fmall arch of a circle defcribed from the point T as a centre with the line L T as a radius, V thro’ [ 273 ] through L and a , L/ as the fine, and at as the verfe-fine of the arch L a ; and confequently <2 t equal to the fquare of L t divided by 2 L T. But, the triangle Lr/ being right-angled in t, the fquare ot is equal to the difference of the fquares of L r and r t> and confequently to the product of their fum and difference ; that is to fay, at = 2 L TP or (becaufe the tangent T L is equal to the fquare of the radius C S divided by the cotangent of L S) = LHT7? Now fup- 2 x lquare ot Cb V pofe the fpaces Lr, rt to be expreffed in minutes, which will be mod: convenient in practice, then the radius of the iphere C S muff be taken equal to 3437t> f°r many minutes are contained in an arch of a circle equal to its radius : and at will be - — L r + rt -f- L r — rt x cotan. of L S ^ , ~ • But> the eontan- gents of nmilar arches of circles of different radii being diredtly as the radii, therefore the cotangent of L S to the radius CS or 34372., is to the cotan- gent of the fame arch to 10000000000, which is the radius to which the logarithmic tables are adapt- ed, its logarithm being io; as 34374 to 10000000000. Therefore the cotangent of L S — tabular cotangent of L S x 34.37 i ... 10000000W wlllch> beinS fubftituted in the value of at above, gives at> expreffed in minutes = Lr + rZ + Lr - r t x tabular cotangent L S . . T5 ; or, multi- oo755°°°oooooo plying by 60, the value of at will come cut in fe- Vol, LIV. N n conds [ 27+ ] conds — — + r t x L r — rt x tabular cotangent of L S 1146000000000 The logarithm of the denominator 1146000000000 is 12,059, hiftead of fubftracfting which, when the operation is performed by logarithms, add 0,941 (its compliment to 13) to the value of the numera- tor found in logarithms, and fubftracft 13 from the index : the remainder will be the value of at in feconds. Q. E. D. A concife rule to find the diflance of the Moon from a zodiacal far, very nearly ; the difference of the longi- tudes of the Moon and ftar , and the latitudes of both being given . To the coline of the difference of the longitudes add the coline of the difference of the latitudes, if both of the fame denomination, or fum ; if of con- trary denominations, the fum of the two logarithms, abating 10 from the index, is the coline of the ap- proximate diftance. This gives the true diftance of the Moon from the Sun, being then nothing more than the common rule for finding the hypothenufe of a right-angled fphcrical triangle from the two lides given. But in the cafe of a zodiacal liar apply the following corre&ion to the approximate diftance thus found. To the conftant logarithm 5.3144 add the line of the Moon’s latitude, the line of the liar’s latitude, the verfe-fine of the difference of longitude, and the cofecant of the approximate diftance j the fum of thefe 5 logarithms, abating 40 from the index, is the logarithm of a number of feconds, which fub- ftra&ed C 275 ] {trailed from the approximate diftance, found before,, if the latitudes of the moon and jftar are of the fame denomination,^ or added thereto, if they are of dif- ferent denominations, gives the true diftance of the Moon from the ftar. . This rule, though only an approximation, is fo very exadt, that even, if the latitude of the Moon was 5 , and that of the ftar 1 50, the error would be only io7/; and if the latitude' of the Moon be 50, and that of the ftar io3, the error is only 4" 4 ; and if the latitudes be lefs, will be lefs in proportion as the fquares of the fines of the latitudes decreafe. demonstration. Let P [Fig. 7.] reprefentoneof the poles of the eclip- and Q^R the places of the Moon and ftar. From R let the arch of a great circle R D be drawn per- pendicular to P By fpherics, the tangent of = tangent of P R x cofine of the angle RPD. And, by trigonometry, cofineof QJD or (QP-PD) = col- QJ' x cof. PD + fin. QP x fin. PD = cof. Qj>xcof. P D 4. fin. Qj> x cof. P D x tan. P D = cof- P D x col. QP 4. fin. Q4 x tan. P D = cof. P D X col. o P 4- fin. 04 x tan. P R x col. P .-.cof. QJ) : cof. P D : : cof. QP + fin. Q P x tan. P R X cof P : 1. But, by fpherics, cof. QD : cof. P D : : cof. R Qj_ cof. P R .-. cof. R Qj cof. PR:: cof. Q P 4 fin. QP x tan. P R x cof. P ; i. Whence cof. R Q = c°f- PR X cof. QP 4. fin. QP X fin. PR X cof. P : Now, by trigonometry, cof (QP — PR) N n 2 = cof. [ 276 ] cof. QP X cof. P R + fin* QP X fin. P R j whence fin. QP X fin. P R = cof. (Qj5 — PR) — cof. QP X cof. P R j which being fubftituted above, gives cof. R Qj= cof. (QP — P R) X cof. P — cof. PR X cof. QP x cof. P -p cof. P R X cof. Q P = cof. (QJP — PR) x cof. P 4- verfe-fine P X cof. P R X cof. QP. Now put cof. (QJP — P R) X cof. P — cof. G, or the approximate difiance, then cof. R Q^- — cof. G, or (becaufe the difference of R Qjmd G is but fmall) G — R Q^X fin* (G+ = verfe-fine P x cof. P R X cof. P Q nearly. Whence RQ== G — _verl'-|'ine P x cof. P R x cof^P nearly — G QJE. D. V. lirt. Cj + K Ci. f. P X cof. P R X cof. QP ~ lin. G nearly. Note , the error of this formula arifes from takino- G — JL±_!L5-by which means it will always give R Q too great, nearly by the following quan- tity, L S q cof. P R X S q cof. Q P X cot. G X S q tan. 1 G. This comes to a maximum when G is 6o°, and is then = 4 X S q cof. R P X S q cof. P Q. If the latitudes of the Moon and ftar are both r° it is= 1". If the Moon’s latitude be 50, and that of the fiar io°, it is = 4" 4; and if the latitude of the fiar be 1 50 it is = 10", XLIX. [ 277 ] XLIX. Extra& of a Letter from Mr . John Winthrop, Profejfor of Mathematicks in Cambridge, New England, to James Short, A . M. F. R . S. SIR, Dated June 6, 1764. Read Nov. 1 5, TT AM greatly obliged to you for your *764- candid and judicious remarks on my obfervation of Venus on the Sun, which I received from my much-efteemed friend Dr. Franklin. X wrote to the Dr. pretty largely on the fubjeift, which I defired him to communicate to you : but when I had the pleafure of a vifit from him laft fummer, he could not recolledt whether he had done it or not. I therefore beg leave now to trouble you with the fub- ftance of it. Your remarks turned on two points, the longitude of the place of obfervation, and the equation of time when found by equal altitudes. As to the firft, I was fo diffident of the obfervation on the Moon, that I chofe to keep to the longitude of St. John’s, as fet down by Sir JonasMoore, who makes it 520 50' Weft of Greenwich. Though I did not think it needful to mention this doubt in the pamph- let, which was publifhed foon after I got home, to- gratify the curiofity of my countrymen, yet I ex- preffed it fully in a written account of the obfervation, drawn up in a different form, and fent to the late Dr. Bradley, but which I believe never reached his hands. As- [ 278 ] As to the equation of the time of noon, depend- ing on the change of the Sun’s declination, I did not make it in that pamphlet. I had all along intended to calculate it when I fhoula fettle the refult of the obfervation, though I knew it mud be very fmall, as the Sun did not alter his declination, then, above i in 4 hours. But when I came to obferve the con- tacts, and found that I could not be fure of them within 2" or 4 > whereas Dr. Halley’s papers led me to expeCt that I might obferve them to a tingle fe- cond, I thought it hardly worth while to calculate this equation, as the precife moments of the contacts could not be fixed by it. — But I have fince done it, and find it to be 4"' to be fubftraCted from the middle time. An account of the obfervation, thus corrected, I fent lad fummer to Profeflor Blils at Greenwich, concluding, from his dation, that the obfervations from different parts of the world would be collected and compared by him. But having fince underftood that that affair is in your hands, though I have not yet had the pleafure of feeing your paper upon it, and having had no return from Mr. Bids, I afk leave to tranfmit a copy of it to you ; and if \ou will be pleafed to give it a place in your TranfaCtions with a remark at the end (if you think it proper) flowing what the Suns parallax comes out from the obferva- tion as it now dands (which I fuppofe will not differ much from the other determinations) I fhall take it as a favour. This will do honour to the govern- ment who employed me. Perhaps, too, poderity may be glad to fee, and may make ule of, the only ob- fervation of this rare phenomenon that was made in America. I am, &c. John Winthrop. L. Obfcr- [ 279 ] L. Obfervation of the \ Tranfit of Venus, June 6, 1761, St. John’s, Newfound- land : By John Winthrop, Profejfor of Mathematicks and Philofophy at Cam- bridge, New England. Read Nov. 15, rip H E tranfit of Venus over the X Sun, being a very curious and im- portant phcenomenon, engaged the attention of A- merica as well as Europe. His excellency Francis Bernard, Efq; governor of the Maffachufetts-Bay, a gentleman who feizes every opportunity of advanc- ing the fciences, was defirous to have an obfervation of it in this quarter of the world ; and as Newfound- land was the only Britifh plantation where one could be had, propofed to the General Affembly at Bofton to make provifion for that purpofe, which they rea- dily agreed to do. In confequence whereof, .1 im- barked on board a veffel in the fervice of the govern- ment, taking with me for affiftants two young gen- tlemen my pupils ; and fuch agronomical inftruments > out of the college apparatus as were neceffary. Thefe were, an excellent clock, Hadley’s oCtant with no- • nius divifions ; a refracting telefcope with wires at half right angles, for taking differences of right af- cenfion and declination ; and a nice reflecting tele- fcope, adjufted by crofs levels, and having verti- cal and horizontal wires, for taking correfpon- - dent altitudes ; or differences of altitudes and azi- muths. . We ■ [ 280 ] We arrived at St. John’s Newfoundland the 22d of May, where we met with a very kind reception, and all the afiiftance we could defire. As this town is bounded with high mountains toward the fun-rifing, 10 that no houfe in it would anfvver our end, we encamped on an eminence at fome diftance, from whence we could fee the Sun prefently after his rifing. Hither we conveyed our inftruments, and fecured the clock to a pillar fet in the ground under a tent. Near this tent, and within call of the clock, we fixed two other pillars firmly in the ground ; one, to mount the refra&ing telelcope on ; the other, which was above 8 feet high, for a fiyle or gnomon, having at top a plate of lead with a little hole for tran fmitting the Sun’s rays ; and we laid an horizon- tal platform to receive thofe rays. The platform we kept covered, to defend it from the Sun and wea- ther : and examined its pofition every time we made ufe of it, by a very long level. On this we careful- ly drew a meridian line, by correfpondent altitudes of the Sun, taken both by the refledtor and by the Sun s image on the platform. Thefe operations we repeated every fair day, and feveral times in a day. It would be tedious, as well as needlefs, to give a detail of them : ’tis fufficient that we adjufted the clock with as much exa&nefs as we could have done at home. Thus prepared, we waited for the critical hour, which proved favourable to our wifhes. The morn- ing was ferene and calm. The Sun rofe behind a cloud that lay along the horizon, but foon got above it ; and at 4h i8' we had the pleafure of feeing Ve- nus on the Sun j though dimly indeed at firfl. But i the [ 281 ] the planet prefently became diftinCt, and her limb well defined. Upon this, I applyed myfelf to ob- ferve the paffage of the Sun’s and Venus’s preceding limbs, by the vertical, and of their lower limbs by the horizontal, wires in the refleCtor, and made the following obfervations ; one of my alliftants counting the clock, and the other writing down the obferva- tions as I made them ; which, having made the pro- per correction of the time for the change of the Sun’s declination, Hand as follows. True time. ' h j n At 4 21 20 Sun at the vertical 31 Venus at the fame 23 6 Venus at the horizontal - 24. 23 Sun at the fame. - 27 29 Venus at the horizontal — 28 47 Sun at the fame 35 15 Sun at the vertical — — 21 Venus at the fame 37 49 Venus at the horizontal - 39 9 Sun at the fame diff. long. o&? g Lat, South. / // / Jt 10 47 9 2 9 4 10 50 9 25 10 52 10 55 9 56 1.0 8 II 00 „ As Venus began now to draw near the Sun’s limb, I prepared to obferve her egrefs. The interior con- tact did not appear fo perfectly inftantaneous, as Dr„ Halley’s papers led me to expeCt. I was not certain of it till 411 47' 21/ , though I doubted of it at ij". The exterior contaCt I judged to be at 5h 5' 49", doubtful alfo 3 or 4 " ; and fo the paffage of Venus’s diameter, 18' 28//. The above obfervations gave me feveral altitudes and azimuths of Venus, from whence I deduced her Vol. LIV. O o right. C 282 ] right afcenfions and declinations ; and from them, her longitudes and latitudes. The refultof the whole, or the planet’s difference in longitude from the Sun’s centre and her latitude, is fet down above, againft each obfervation of Venus. From hence I concluded that at the central emer- fion, which I put at 411 56' 38", the difference of longitude was if 19, and the latitude if 6". Alio, that the conjundtion in longitude happened at 2h 4' 36", the planet’s latitude then being 9' 28 '. In thefe calculations, I fuppofed the lemidiameter of the Sun to be 1 5' 50", and of Venus 29". By feveral obfervations, I found the latitude of the place 47° 32' N ; which falls within the latitudes laid down in feveral books and maps, which make it from 470 25' to 48° o' . I could make no ufe of Ju- piter’s fatellites in finding the longitude, as they were not rifen high enough to be obferved above an hour before day-light came on. There were but two of their eclipfes that could have been vifible there while I was on the iff and ; and though I watched for both of them, I was difappointed of both by unfavourable weather. Neither was I fortunate enough to get fo much as one occultation of a fixed fiar by the Moon, though I fpared no pains for it. The only obfervation I could get for this purpofe was of the right afcenfion of the Moon, which I endeavoured to find, by com- paring with that of a fixed fiar. But whether any mifiake was committed in counting the clock, or in writing down the obfervations, or whether the pofiti- on of the telelcope was difiurbed by any accident in the interval between the Moon’s and ftar’s palling, I am not able now to fay. However, as I am Icnlible that [ 283 ] that obfervation is not to be depended on, I think it needlefs to infert it here. The longitude of St. John’s is var.oufly fet down by different authors, though none I have met with mention the obfervations by which it was determined. According to Sir Jonas Moore, it is 52h 50' Weft from Greenwich; and as his authority may be as good as any, I keep to this longitude till it can be afcertained by farther obferva- tions. I have taken meafures to procure fuch ; and if they fucceed, fhall be ready to communicate the relult. I viewed the Sun with great attention in the reflec- tor both on the 5th and 6th of June, in hopes to hnd a fatellite of Venus j but in vain. There were feveral fpots then on the Sun ; but none that I faw could be a fatellite. The variation of the needle there I found 190 W. J. Winthrop. REMARK. Mr. Short has computed the parallaxes at the egrefs for this obfervation at St. John’s, and by comparing this obfervation with that at the Cape of Good Hope (on the above longitude and latitude of St. John’s as fet down by Mr. Winthrop) he finds the parallax of the Sun, refulting therefrom, “ $",25. O o 2 LI. An [ 284 ] LI. An Account of the EfeBs of Lightning on three Ships in the Eaft- Indies ; By Mr . Robert Veicht. . Communicated by William Lewis, Mi D . and F. R. S. % Read Nov. 22, \ TJGUST the I ft 175°* Lilt. •764- /A j° 56' N. Malacca bearing about N. E. All this day there was a frefh breeze, S. to S. S. E. the weather being hot and iultry. The evening was fair and clear ; and when day-light was gone, there was not a cloud in the fky ; and the wa- ter was fo clear of vapour or mift, that the ftars could be feen to rife out of the horizon. This ferenity continued till about 2 A. M. when a black cloud appeared above the horizon in the W. and W. N. W. and continued to rife very faft ; and the flafhes of lightening, which proceeded from it, fucceeded each other very faft. In 4 of an hour, it covered almoft half the hemifphere, and as it ap- proached, the wind from the S. E. began to fan, and died quite away at laft. By the time the clouds had covered half the he- mifphere, the wind proceeded iiom it in great violence, and the flafhes of lightening were very frequent, and we judged of their nearnefs to the fhip by the interval betwixt the flatb and repoit, according as this interval was longer or fhorter. The whole heavens were now covered with this cloud, and the ftafhes of lightening happened at times on different fides of the fhip, which had all the tails , furled [ 285 ] furled before it came upon her. It muft be remark- ed, that the wind, which reached the {hip before the thunder, brought with it a violent and heavy rain, which fufficiently foaked the {hip and every thing about her. The fhip was all this time, which was in about half an hour after its firft appearance above the weftern horizon, in the midft of repeated flafhes of lightening, which were juft upon the fhip by her trembling and fhaking on every explofion, and the flafh and clap coming in the fame inftant, and the officers and people were apprehenfive of damage to the maft. 2 -i ’A. M. At this time a clap burft, as was judged by the report, about mid-way betwixt the head of the maft and the body of the fhip, or it might be* higher, and in defcending might caufe that appearance, and juft over it. This made the fhip tremble and {hake as if {he was going to burft into pieces, and great pieces and fplinters of the maft were fallen upon different places of the fhip ; but it was fo very dark, we could not fee from which of the mafts they were forced. Immediately after this firft came a fecond, which burft juft above, and on the quarter deck of the fhip, which by the report was as great, and being clofe upon the deck was more terrifying than the former. Here I muft take notice, that the wind brought very heavy rain before the thunder came near the flaip ; and in proportion as the thunder approached- the fhip, the wind, which came in violent gufts at firft, decreafed gradually, and the rain was lefs heavy ; and when the thunder furrounded the fhip, and broke upon her, it was aimoft calm. And we could [ 286 ] could not only judge of the nearnefs of the thunder by the tremor and fhaking of the fhip, and the re- port inftantaneoufly following the flafh ; but we could alfo hear feveral of the dallies fall into the water clofe upon the fhip. We reckoned, that the firft clap, which burft at the main-mart, was what damaged the mart; the lecond having burrt betwixt the main-mart and mizen-maft. At this time we came to an anchor, and conti- nued till day-light, that we might examine into the damage we had received ; for, as pieces of the mart were carried to all places of the fhip, we imagined, th at all the marts had been hurt. At day-light we found, that the fore-mart and mizen-maft had efcaped, and the main-mart had fuffered as follows : All the main-top-gallant-maft (which is the upper- moft piece of the mart) from the rigging at the top of it, to the cap at the head of the main-top-maft, was entirely carried away, part falling over-board, and part into the fhip in different places. The main-top- mart had great pieces carried from it, from the hunes down to the cap, at the head of the main-mart, fo that it could but juft ftand, being hardly rtrong enough to bear its own weight, and that of its rigging. The main-mart being compofed of three pieces, to- wards the top of it, thofe of the Tides, being of oak, called the cheeks, were not hurt ; but the middle- moft part, being of fir, was fhivered in feveral places, and pieces were carried out out of it 6 or 7 inches in diameter, and from 10 to 12 feet long, and this in a circular defcending manner from the parrel of the [ 287 ] the main-yard down to the upper deck of the {flip, the pieces being taken out crooked, or circular, or ftrait, according as the grain of the wood ran. It mud be remarked, that thefe claps were not one lingle explofion, but fuccefdve explofions, about the dimendons, as near as we could guefs, of fmall fhells, and continued fome time cracking after each other ; and as the lightening is obferved to run notin fit ait line, but zig zag, fo thefe different explofions might be differently placed in the air j that when they came to take fire and burft, they might take the pieces out of the different fides of the maff as above related. In great fhips the mails are compofed of three parts, eredled upon one another, the lowermofl part is called by its proper name, the middlemofl part is called the top-mad, and the uppermod part the top-gallant-mad. The mad, which was here da- maged, w'as the main-mad, or principal mad of the fhip, and which dands near the middle j and fome- times the name of main-mad is applied to all the three pieces as they dand eredled, and fometimes to the lower piece, or part of the mad only : and when they are didinguidied feverally, they are called the main-mad, main-top-mad, and main-top-gallant- mad. Each of thefe parts of the mad are divided as to length, and have their proper names accordingly ; and generally into three parts in common conven- tion, viz. the head part, which reaches from the upper extremity to the place, where the rigging is fixt ; the middle part, which reaches from a little below the rigging, to that place, where the lowermod part be- 4 gins, [ 288 ] gins, and this is often called the hoift, or holding part ; and the lowermoft part, called the heel, reaches to the lower extremity. There is the fame divifion of all the three parts ; of which the maft is compofed ; but of the lowermoft part of the maft, the heel part of it is hid below the upper decK in the body of the fhip. At the top of the main-maft, on the extremity, is fixed a piece of wood, which has a hole in it ; and at the lower part of the head of the main-maft; are alfo fixed lome pieces of wood crofs each other, on which lies a fcaffolding called the top : through thefe the top-maft is thruft upwards; and when eroded at its greateft height, the lower part of the top-maft, called the heel, and the upper part of the main-maft he clofe to and againft each other, and betwixt the top, or fcaffold, and the cap : and fo the top-maft and top-gallant-maft together: but the head part of the top-gallant-maft, as there is no other above it, is tapered away to a point, whereon is fixed an iron fpindle and vane. As a fhip does not at all times carry her fail of the fame height, but higher or lower in proportion to the ftrength of the wind or other circumftances, it is upon the middlemoft of the three parts above- mentioned, into which the mafts are divided as to length, that the fails are made to flip up and down, and are attached to the maft by feveral pieces of wood fixed by a rope round it to the yard, that ex- tends the fail, and this flips up and down along with the yard, and is called the parrel. And as it is neceftary to cover thefe mafts with fome matter, that may preferve them from the weather C 289 ] weather and fun, they are therefore covered with different kinds of matter, according to the ufes of the different parts of the mart. The head and heel parts of the mads are always covered with tar mixed into a confidence with lamp black, and this being frequently repeated, it forms at lad a covering of the thicknefs of a crown, and fometimes a quarter of an inch ; through which as the Sun cannot pierce, it is commonly without daw or rent j but the middlemod part, upon which the fail dips up and down, is always rubbed with tallow, or greafe, or hogs lard, to make it more ' dippery ; and this being frequently fcraped off, and anointed afrefh, and in hot weather, or the fummer time, it becomes extremely thin, being melted off, and frequently and in many places rubbed off by the dipping up and down of the fail and parrel, which expofes it fo much, that the Sun fometimes rends it from end to end almod, and fo deep as to reach the centre of the mad, and an inch wide. But as the yard, which extends the lowermod fail upon any of the mads, is commonly carried at the fame height, the middlemod part of this mad is ufually covered with rofin mixed with tallow or oil, and fometimes turpentine mixed with the fame ; and this being foft, cracks and melts with the Sun, and fo leaves fome places of the mad bare, and this will rend and fplit alfo like the top-mad and top-gallant- mad, that are co- vered with tallow or greafe, but not quite fo large rents. We are now to obferve, that no part of the top- gallant mad or top-mad, that was covered with the lamp black were touched with the thunder, the Vol. LIV. P p grealy [ 290 ] o-reafy part only being carried away. The head of die top-gallant-mad, from the rigging upwards to the fpindle, was entire, as was alfo its heel, for the lightening did not touch the heel, but milled the whole both of top-gallant-maft and top-mad, that lay betwixt the cap and upper end of the greafy part of the mail. Of the top-mad great pieces were carried out, of many feet in length, and 9 or 10 inches in thicknefs, and this on different fides of the mad, for the whole length of the greafy part. From the top of the main-mad to the upper end of that, which is covered with turpentine, there was no da- mage; but, from thence downwards, the cheeks were darted off from the middle part, and pieces taken out winding adant down the mad, and out of the fir part many feet in length, and 6 and 7 inches deep, and near the upper deck a piece as laige as the body of a man, and 11 or 12 feet in length. I imagine, that the vapour having infinuated ltfelf into the rents and cracks of the mad, takes fire, and expanding itfelf every way, is the occafion of pieces of the mad being carried to the mod didant parts or the fhip ; and, as a proof of this, the oak cheeks above-mentioned, though extremely well fixed to the middle part of the mad, which was of fir, by fpikes and bolts, which were clinched, they having fhrunk, and thereby having left the jointure a little open, had made way for the vapour to infinuate lt- felf, which might be the occafion, that the cheeks were darted off at the lower part, and the rope, wherewith they were woolded together to the middle part in four different places, with 12 turns of 2 £ inch rope in circumference, were burd all to pieces. It C 291 ] It mud likewife be remarked, that the yards, which lay in a horizontal pofition, were not touched or hurt. Indeed they are always covered with lamp black and tar, as the heels and heads of the mail: are, and this frequently repeated ; yet they had many and large rents in them ; but whether the matter, which covered them, or their horizontal pofition, was the reafon of their efcaping the thunder, is left to the learned to determine. For in this fituation you have nothing to do but to fit with your arms acrofs, and compofe yourfelf in expectation of your fate. I muft alfo take notice, that no part of the rigging was hurt ; for although the middle part of the top- gallant-mad, which was 18 feet long, and 9 inches diameter, was entirely burfl: to pieces, and carried away 3 yet the rigging, which furrounded the upper part, was neither burnt, fcorclied, nor broke. Nei- ther did it touch the caps on the mad heads, nor the top, or round fcad'olding on the mad, and in this fhip it was 18 feet broad ; and thefe as well as the yards were covered with tar and lamp black, and made of three inch deal. I mud likewife take notice, that upon the upper deck of the fhip are two convenient boxes built, di- vided into two and into three parts, wherein are placed a lamp, which burns in the night, and a compafs, where- by the {hip is deered. One of thefe was placed very near to the main-mad in the middle of the fhip, and the other clofe to the mizzen-mad, and both the lamps were burning at the time of the fil'd explo- fion ; and immediately, upon orders given, all the lights in the fhip were extinguifhed before the burd- ing of the fecond clap ; the officers imagining the in- P p 2 flammable C 292 ] flammable vapour might be attracted by the flame of the lamp and fired thereby. At the time- of the firft, I believe, there might be more than fixty men upon deck, and fome of them very near the maft at the very time of the clap. Some of thefe were fiunned and beat down ; and in their arms, where they thought themfelves hurt, they had a numbnefs, which continued fome time, but not any of them otherwife hurt. Luckily be- fore the fecond, the men, who were upon the quarter deck, in number about twenty, had time to retire under the auning, which is a projection of the deck of the cabin to fhelter from the fun or rain ; fo all efcaped unhurt, though fufiiciently frighted. And indeed the fecond ftafh was moft terrible, as it was an ex- plofion of a great number of balls, which went oft after each other, cracking like fhells, which conti- nued for the fpace of half a minute j and from which there was no retiring, as the door of the cabin was fbut ; and I believe they might have fet the fhip on fire, but for the great rain, which had fallen imme- diately before this. After this time we were in no more danger this night, the thunder being all paft the fhip, lefs frequent, and not fo loud, and removing by degrees to a greater diftance : and by day-light, which is here a little after five, the fky was quite cleared ; a fine day ; and the wind returned to the S. E. quarter. In thefe cafes of thunder there is not any precau- tion taken farther, than flopping the upper part of the pumps, becaufe they pierce all the decks even to the outfide plank in the bottom of the fhip. If [ 293 ] in port the men are ordered under cover, and the hatches are laid over and covered. The fcuttle to the powder-room is well covered with wet fwabs, and the pafiage fecured. Before I end this account, I (hall give you the re- lation of an accident from thunder at Batavia. Anno 1746. A Dutch fhip, lying in the road of Batavia, having taken leave of the governor, was ready to depart for Bengal. The afternoon was calm, and towards evening they had loofed their fails, and lay ready to take up their anchor upon the coming off of the wind from the land, which is common every night. A black cloud was gathering over the hills, and the wind brought it towards the fhip : by the time the cloud and the wind reached the fhip, a clap of thunder burft from it juft over the fhip, and fet fire to the main-top-fail, which be- ing very dry, burnt with great fury ; and this fet fire to the rigging and mail. They immediately attempt- ed to cut away the maft, but were hindered by the falling of the rigging, which was burnt, from the head of the maft. By degrees the fire communicated to the other mafts, and obliged the people to defert the fhip ; and afterwards it took hold of the body of the fhip, and burning down to the powder, the upper part of the hull blew up, and the bottom part funk in the place, where fhe was at anchor. Anno 1741. Bencoolen road on the S. W. fide of the Ifland of Sumatra, Lat. 40 o' South.. There lay here two fhips, one an European, the other a country trading fhip, both belonging to the Eaft. India. C 29+ ] India Company. Here, as well as in the freight of Malacca, you have periodical winds, which blow for fix months of the year from the fame quarter of the horizon, and the other fix months from the oppofite quarter ; and it is obfervahle, that thefe thunder- fhowers and fqualls of wind ufually come contrary to thefe ftated winds, which are calmed during the thunder, but return to their conftant quarter as foon as the thunder and rain are paid. If I recollect aright, in the above year 1741, in June, the weather was very hot and fultry, and the conftant wind but very faint. The wind came after this from the land, and almoft oppofite to the ufual point a very faint air ; and the thunder was frequent and clofe to the fhips, which lay near each other, but the fog and rain prevented their feeing each other; but they often trembled and fhook by the explolion of the thunder. One of thefe claps burft upon the country fhip, which by this time had her top-mafts ftruck; that is, lowered down along the lower-mafts. This clap carried away and burft to pieces all the part of the lower-maft from where the yard is caried aloft to within lix or leven feet of the upper deck. The maft was wooldcd with ropes of 2 4 fize in different places, which were burft afunder at every turn of it ; and the maft all fhivered into fmall fplinters, and moftly carried overboard. Here alfo the main-maft was made of fir, and the part, which was fplit and fhivered to pieces, was the part ufually coated with turpentine mixed as before-faid with tallow or oil : and the main-top-maft, which was made of a wood of the country called teak, and is of a texture like to oak, but ftronger, was untouched, notwithftanding 4 i t [ 295 ] it lay parallel, and touched the mad for the whole length of the part carried away. Here the vapour mud be very low, being wholly below the top, which was unhurt, as was all the rigging and yards of this particular mad. And from the upper deck of the fhip to the top could not, in this diip, which was but fmall, exceed 42 or 44 feet. And in this lad cafe the explofion mud have been like gunpowder en- deavouring to expand itfelf every way, becaufe the top and top-mad, and rigging, which was above it, funk perpendicularly down on the body of the fhip, as did the top-mad alfo, which pierced the upper deck, and dood upright. In this fhip there might be at the time of the explofion feventy men upon deck, and not one of them hurt ; which I imagine was owing to the vapour being didant above the deck more than the height of a man, as was apparent from a remnant of the mad, which was not touched for fix or feven feet immediately above the deck. The relater was an eye-witnefs to both thefe acci- dents. In this lad there remained a dinking vapour for fome time; but in the fird cafe there was not the lead fmell of fulphur, or any other thing. Robert Veitch. LII. A [ 296 ] LII. A Demonflr ation of the Second Rule in the EJfay towards the Solution of a Pro- blem in the DoElrme of Chances , publifhed in the Philofophical Traiif actions, Vol. LIII. Communicated by the Rev. Mr, Richard Price, in a Letter to Mr, John Canton, M.A.F.R.S . Dear Sir, Nov. 26, 1764. Read Dec. 6, T Send you the following Supplement to the 1 76+* JL ^[Jay 011 a Problem in the Doctrine of Chances , hoping that you may not think it improper to be communicated to the Royal Society. I Ihould not have troubled you again in this way had I not found that fome additions to my former papers were necelfary in order to explain fome paflages in them, and particular- ly what is hinted in the note at the end of the Appendix. “ I have firft given the deduction of Mr. Bayes’s fe- “ cond rule chiefly in his own words ; and then 11 added, as briefly as poffible, the demonftrations of i [ 297 } The folution of the problem enquired after in the papers I have fent you has, I think, been hitherto a deflderatum in philofophy of fome confequence. To this we are now in a great meafure helped by the abilities and fkill of our late worthy friend /and thus are furmfhed with a neceffary guide in deter- mining the nature and proportions of unknown caufes from their effeds, and an effedual guard agamft one great danger to which philofophers are iubjed ; 1 mean, the danger of founding conclufions on an inefficient indudion, and of receiving juft conclufions with more affiirance than the number of experiments will warrant. I am, under a fenfe of the value of your friendffiip, heartily yours, Richard Price, Q. q Vol» LIV. Art. [ 298 ] ART. i. If the curve A D H be divided into two parts by the ordinate D h making A h to H h as p is to q ; then taking a = — and b = - the P + 1 ratio of the Area ADb to HO will be fJLi! * P+ 1 p q*q-ixp' 1 +7TI x ?^ + 2X/> + 3x?a /> + 2X/> + 3x/> + 4x?3 p + 1 + '4- tfc. For the feries * :_!+ — * LJLL — p + 1 P + p + 2 4- ©V. in Prop.1 10. Art. 2. of the Effay, which ex- press the ratio of A Cf to H O, becomes this feries , s, — p A r — — • that is when when x -=za —•> o — r — , Cf [ 299 3 C j has moved till it coincides with D h and AC f becomes A D b. In like manner, from Art. 3. in the Effay, it appears that the ratio of H D h to H O is P q + 1 — s a X I + P <7 — y — _L. q + 2 p ~ p p—l q x 5+s x P q + 1 4- &c. From hence it follows that the ratio of the difference p q between AD/j and HD h to II O is, it is evident inuft be greater than the ratio of equality. Wherefore, if from the fecond feries you fubftraft the two firft terms which together are lefs than two, the remainder islefs than the former feries j and of confequence, the former feries fubftradted from the latter cannot leave a remainder fo great as two. And therefore in this cafe, that is, when q is greater than />, by the pre- ceding article, the ratio, of HD/6 — A D h to H O P ? cannot be fo great as 2 a b . n 4 3. The curve A D H being as before divided into two parts AD b and HD£, let the ordinates C / and F t be placed on each fide of D b and at the fame diftance from it, and let 2; be the ratio of h / or h t to A H. Then if yy x and r be relpedtively the ratios of Cf A / and H/ to A H, by the nature f q J of the curve y = xr . But becaufe the ratio of A b to A H is a, and that of h j to AH is zy the ratio of A h — hf(—Af) to A H is tf—z. Where- fore — zz=x. And in like manner b 4- z-=.r. But p 9 1 y—xr, and^ is the ratio of Cf to AH. Where- fore the ratio of C /to A H is p x And in like manner the ratio of F/ to AH is X ^3 A And confequently C) is to F / as is to a -f z]f> X b — ^ y/ greater than ^>, a 4- X b — 2J7 is greater tnan a — zF x and the ratio between them in^ creates as z increaies. For the hyperbolic logarithm of C 301 J tsf that ratio taken as ufual, and then inftead of f and q patting n a and nb becaufe a = — and h 1. (Vid. Art. r.) you will find to be 2 n multiplied by the feries — — - X 2’ + -~^zs I — x 3* a “ S*-4«* 1 n6 Xz ^ which logarithm when q is greater than />, and there- fore b greater than a has all its terms pof.tive, and fo much the greater as 2 is greater ; and therefore it is the logarithm of a ratio greater than that of equality, and which increafes as z increafes. 7 _5- By Art. 3. Ft is to C/as 3» is to V + zl?~ And b>- Art. 4. 7/7V x i-rr^tis greater than 7=3/ x. 7/3 ?, and the ratio between them increafes as 2 increafes, if q is greater than p. Wherefore, upon this fuppofition, alfo F t- is greater than Cfi and the ratio^ between them ml creafes as ^ or A /-and ^/increafes, and confequently his will be true alfo concerning the -areas defcribed by them. as their equal abfcilfes ht and hf increafe. Wherefoi e, when q is greater than p, Dht F is greater than D^/ C,. and the ratio between them in- creafes as h f ~ h t increafes. 6. Becaufe Ah is to Hh as p is to q, when a is greater than p H h is greater than A b. In H h thfre- fore taking b l equal to A h, by the preceding Art. fire part of the figure H Di which infills upon hi of H *rfi A- P h’ and tlle ratio of 'hat part D bt Ftt n tPn ^ b£ Sre!“er than ,he ratio «* DA/FtoDA/C. Confequently, much more (q- being greater, than p) the whole figure H D A is , greater c [ 3°2 ] greater than ADA, and the ratio of H D h to A D h is greater than that of D h t F to D hf C. 7. When q is greater than p, 1 n z ] ? z "\\n n z2’ P f than , _ ii.r x 1 + — r lefs than 1 is greater X 1 -F n z 7 For the fluxion of 1 — - a Z*A» P <1 * IS n z -- n Z K N/ T — 1 ""PI PI 1 and the fluxion of P ? r 1 , _ x , + Ji-lj^becaufe /> + ?=«) is ? >f 1 z * x i 1 X 1 + — I Wherefore 77 * I * I if as the flux- is to 1 j pq\ Y X I + to the ion of the former multiplied by 1 — fluxion of the latter multiplied by (1 — ~ * n M N ” z jl 0J: From which 1 + — or) 1 — 7 + ? Pi analogy, becaufe q is greater than p, it is plain that x j 1. |b?| ’ varies at a greater rate in refpeft yl ? ‘ v„ of its own magnitude than 1 L'ocs' ’ becaufe their fluxions as found out before have a ne- gative fign before them, they both decreafe a,^- C 3C3 3 creafes ; confequently, if they are ever equal, as z in- creafes the latter muft be the largeft. But when 2: — o they are each equal to 1. In like manner the other part of this article appears. And hence, fince — - and b = it is manifeft that a a X 1 p q 1 is greater than a — z\ x b -[-Is) and lefs than a -]- z) xb than p. d , when q is greater 8. Suppofe now further that the curve RQW be defcribed meeting the lines D h3 F t , ht produced in r, a w, in fuch manner that F /, which is to C f as a -J- z) x b — z\ to a — z\ X b (Vid. Art. 3.) fhall be to Q£as a ~]-z) X b — z\ to a b X wherever the points t and f fall at equal if pq diftances from h. And it is manifeft by the foregoing Art. that muft always be greater than C f, and lefs than F t. And of confequence the fame muft be true concerning the areas defcribed by their mo- tion while their equal abfciffes increafe. Wherefore R h t QJs greater than D hfC, and lefs than D ht F. ,p ■ - q 9. Since F / is to as a -j- z\ x b — z\ to P-,-9 a b X 1 »* 55*3* P P q I 2. • and a -Y z x b z (by Art.. [ 3°+ ] Art. 3.) exp reflex the ratio of to A H* the ratio of Qj to A H mull be a £ x 1 — 1-LV and as P q I has been all along fuppofed z is the ratio of h t to A H. Wherefore, by Squaring the curve R h t Q, it will appear that the ratio of R h t Q^to H O is a b X z — ni z3 2-3 pq I 2 + -Z-X n J 2 5 n 2 • 5 P'q% 4 X X ; 3 ■ 7 -f- &c. which — ~ — ) is 2.7 piqi 1 V 2 p q / P f v' 2 p q a b X 7^7r X 2 — 3 77Z3 Z3 « — 2 ms z% 4- 2 « X 5 2 » m9 z9 « — a my z1 n — 2 n — 4 n — 6 x — - X -1 X — - X X 3 « 7 2 n 3 « 4« 9 • 71^" — &c. Which laft feries when — — = i, and con- p q lequently the ordinate Qj vanishes, becomes B — B3 , Bl -r 1 B5 B* — « 1 B* — a B7 .. 2px~ x _ ^ x 1 j x ^ A” n 3 • 3B- - 5 taking B x . 10. If B*=~ the ratio of the whole figure R Q_W h to H O is -^44? x a /x B — HZ~Z * V « 3 " * ^ B* j g 5 — X — — GV. Now, (by Prop. io. Art. 4. of the Effay) the ratio of A C F H to HO is x [ 3°5 ] X -jp E being the coefficient of that term of the binomial ci q- $ expanded in which occurs a 1? • Wherefore, the ratio of RQW^ to A C F H is » V n Put G now for the coefficient of the middle term of the fame binomial, and if p — q = A } E — G, ^ = 4- = b the area R QW h is equal to half ACFH; for then Qj', F/, CJ are all equal, and confequently the aieas RQW/6, HD b and AD/6. Wherefore, the feries B- — is equal to ^Lul ^ — . But the 3 A n + i G B 3 feries B y 4. ©V.^becaufe B2 — ^ does not alter whatever p and q are, whilft their fum 11 remains the fame. Wherefore, in all cafes, the ratio of R Q W h to ACFH is^SX 4^ X 2". n Cj I r. By Prop. 1 o. Art. 4. of the Effiay, the ratio of ACFH to HO* is — h— x p; and by Art. 9. the ratio of R ht Qjo H O is abq X ^Zf x « * — _ »-/ » Z 3 « — 2 ;«5 Z5 3 + "77" x — 7“ &Cr Wherefore, the ratio of * It is hoped that the imperfection of the figure all along re- ferred to will be excufed. The lines R h and D b fhould appear APnr?!?/ f/11 be found Prerently> that the curve line j rr “10u d have been drawn from F and C convex to- wards A H. V ol. LIV. Rr Rbt [ 3°6 ] x-> t t • W “{■ I \/ 2. p q p« 7 ? R£/Q to ACFH is X 7=^xEtf b xmz- ^ 72 v n 7/23 Z3 772 5 Z 5 2 72 X -* ■A OT 7 Zj7 , •: — r x x - X -f ^272^5 272 3 72 7 ' Likewife, by Art. io. the ratio of RQW h to ___ p q V p q E a b A C F H is 72 X 2. Wherefore the ra- tio of R h t Q^to R QJW h i is 72 + i >y 72 i/‘ 2 » X G y^m z 772 * Z3 + 8V. 12. By Art. 2. 6. When q is greater than p, the ratio of H D h — AD h to HO is leis than P 7 2 a L. And by Prop. io. Art. 4. of the Effay, the ratio of A C F H or H D b + A D h to H O is — 1 v — . Wherefore, the fum of thefe two ratios, 72 + I * E or the ratio of 2 HD/j to HO, is lefs than - 72+1 P 7 x-L_l_2 " b ; and the difference between them. or the ratio of 2 A D h to H O is greater than p 7 Wherefore, the ratio of 2 HD h to 2 A D h, or that of H D h to A D b, is lefs than that of — X i+— to " X “t- 2-4f" > which 72+1 E 1 72 72+1 & 72 P 7 is equal to the ratio of 1 X 2 E aff 4- ^ t0 1 p 7 lab — 2 [ 3°7 ] P 7 — 2 E a I? — - — 1 Li-. But the ratio of H D h to n AD hy by Art. 6. is greater than the ratio of D h t F to D hfCy when q is greater than p. Wherefore, much more when q is greater than p , the ratio of D h £ F to D/6/C will be lefs than that of i 4- f? p ? 2 E a*g + to i — 2 E iif. 1. And becaufe, by Art. 8. R h t Q is a mean between D h t F and D hj C, the ratio of D h t F to R h t Q_ pi will be lefs than that of i -4- 2 E dbq + - — - — to 1 n P 7 x — 2 E dff—UlL. And the ratio of D hfC Pi 7 to R h t Q^_will be greater than that of i — 2 E a b _ P 9 2 E a b n to i 2 E abq -\- _ / ? RULE II. if nothing is known of an event but that it has happened p times and failed q in p -j- q or n trials, and q be greater than p ; and from hence I judge that the probability of its happening in a tingle trial lies between - and - 4- (if = — -> a = n n ' ' 2 p n b — E the coefficient of the term in which oc- curs b when a -j- b\ is expanded, and £ — n + r n 2 p a T-x P,9 m3 z3 ' X L a b x m z ✓ n ri'-'l X OT5 Z5 R r 2 n — 2 [ 3°8 ] 2 n 2 n - X ■4 m z X 3„ - 4" my chance to be in the right is greater than £, and lefs than Y X i -f" 2 E b -f- — ■„ — — F°r by Art. 11. com- 2 E jff — f q 2 E a b pared with the value of Y here fet down, the ratio of R h t Qjo A C F H is Y. But by Art. 8. D h t F is greater than R£/Q, and by Art. 12. the ratio of D/6/F to Ri> / Qjs lefs than that of 1 2 E a b1 p q 2 E ab 4- to I n -Pi T-, P,1 2 E a b ^ . 2 E a b . r rom whence it is plain that the ratio of t)£/F to ACFH is i42E^?4 2E*V greater than E, and lefs than Y x 1 — 2E ati — But, as appears from the 10th Proportion in theEffay, the chance that the probability of the event lies between P P ^-and 4 + z (that is, between the ratio of A h to A H, and that of A t to A H) is the ratio of D ht F to ACFH. Wherefore, the chance I am right in my guefs is greater than Y and lefs than Y x 2Er/ b1 I 4- 2 E 2 E abq r ? P >1 2 1 — 2 E a b — ~ E Sb* In [ 3°9 ] In like manner, 2dly, the fame things fuppofed, if I judge that the probability of the event lies between z> my chance to be right is lefs than £, ^ and — n n and greater than £ x 2E a bq i — 2 E ap bq — — - — ^ p 2E/^? i 4- 2 E a b -)- — - . This is manifeft as the other cafe, becaufe D hfC is lefs than R h t Q, but the ratio between them is greater than that of i - 2 E a b1— - to 1 -f 2 E afb9-\- r pf 2 E a b • n 3dly> other things fuppofed as before, p is gi eater than y, and I judge the probability of the event lies between ^ and — zy my chance to be right is lefs than £, and greater than £ x . But if I judge it lies be- T-, P 2 E / / i — 2 E a b — n P 7 , „ P 2 E a b1 I + 2 E a g + — tween —and z} my chance is greater than £, and lefs than £ x . 1 P ,7 , 2 E aP b1 i +2 E a b p ,q 2E// 1 — 2 E d b And if p — y. which [ 3io ] which ever of thefe ways I guefs, my chance is £ exaCtly. This may be proved in the fame manner with the foregoing cafes, where q is greater than />, or may be proved from them by confidering the happening and failing of an event, as the fame with the failing and happening of its contrary. 4thly, Other things fuppofed the fame, whether q be greater or lefs than />, and I judge that the proba- f) P bility of the event lies between — -\- z and z, my chance is greater than — — - , and * I+2E/*? + 2E«V n lefs than This is an evi- I — 2 E a bq — 2E a b n dent corollary from the cafes already determined. And here, if p — y, my chance is 2 £ exa&ly. Thus far I have tranfcribed Mr. Bayes. It appears, from the Appendix to the Eflay, that the rule here demon ft rated, though of great ule, does not give the required chance within limits fuf- ficiently narrow. It is therefore neceftary to look out for a contraction of thefe limits; and this, I think, we fhall difcover by the help of the following de- ductions ; which, for the fake of greater dinftinCtnefs, 1 fhall give as a continuation of the foregoing Ar- ticles. 13. The [ 31 1 ] J3’ The ratio of the fluxion of t - ” ~ 2 lx to the pq 1 fluxion of i -j- n z X and the ratio of the fluxion of i p — j to the fluxion of i — nZ zj a P q 1 is i n % *■+3 f— i I — nz P q This will immediately appear from Art. 7. 14* While z is increafing from nothing till ~ becomes equal to unity, thefe two ratios are* at niit greater than the ratio of equality, and in- creafe as z increafes, till they come to a maxi- mum. Afterwards they decreafe untill they be come firA equal to the ratio of equality, and then lefs. > This is proved by finding the hyperbolic logarithms of thefe ratios. The hyperbolic logarithm of the firA is the feries - 1 Lz~± v „ „ , ■ q P x 11 z -r t P 1 n — + ~ 77 X w 2 . q — I p — j n3 23 JL £ i 1 P 1 » — 2 +~- * 4 n* z P + X 3 X 4 S p — I n% zs • [ 312 ] . ?— 1 , tzi. "~2 v -r -6- + p* —p~px 6 -j- Gfc. The hyperbolic logarithm of the fecond ratio is the feries q — - — — X n z — q——r (- q P q IH1 _L till _ 1H-2 x + &c. It will ap- q 4 1 /> + p~ qz 4 pear from examining thefe two feriefes (y all along fuppofed greater than p) that while z is fmall the value of each of them is pofitive, and increafes as z increafes till it becomes a maximum , after which it decreafes till it becomes nothing, and after that ne- gative ; which demonftrates this article. 15. The former of the two ratios in Art. 13. (q be- ing greater than p') is at . firft, while z is increafing from nothing, lefs than the fecond ratio j and does not become equal to it, till fome time after both ratios have been the greateft pofiible. Upon confidering the two feriefes in the laft Art. it will appear that the firft term of the firft feries is always pofitive, the fecond negative, the third alfo negative, after which the terms become alternately pofitive and negative. On the other hand, it will appear that in the fecond feries the two firft terms are always pofitive, and all that follow negative. But as the feriefes con- verge very faft when z is fmall, the fecond term being negative in the firft leries and pofitive in the fecond, has a greater effedt in making the firfi; feries- lefs than the fecond, than can be compenfated for by the terms being afterwards alternately negative and j , pofitive [ 3*3 ] pofitive in the one, and all negative in the other. It will further appear from confidering thefe feriefes, that the firft muft continue lefs than the fecond ’till z be- comes fo large as to make the fourth term equal to the fecond, in which circumftances the two feriefes are nearly equal. Afterwards, as z goes on to in- creafe, the value of both leflens continually ; but the fecond now decreafing failed:, as before it increafed failed:, becomes firft nothing. After which, the other feries becomes nothing j and after that* both remain negative. From hence it is eafy to infer this Article. 1 6. What has been now fhewn of the ratio of the -p 72* Z 2 I - P 9 i — n z P - ~r 2 to the fluxion of i -j- ~| x compared with the ratio of the fluxion of X i -f- — 1 to the fluxion of i 9 1 I - nz P 9 1 nz z2 pq j" (or in the figure) to the fluxion of a~+ ZY X 6 — z}7 ( orF t) compared with the ratio of the fluxion of a—zYxf+£* (or C /) to the fluxion of // X I - qf!'; or Q/, the latter quan- tities being only the former multiplied by the com- mon and permanent quantity t> lies fomewhere between — 4- z and — 2;) is* a n J greater than — , and lefs than 2 2.- 1+ 2 E a bq + aE / bq The former part of this Art. -has been already proved,. Art. 1-2. The latter part is evident from Art. 21. For R ht QJpeing greater than the arithmetical mean' between T)ht¥ and ’DhJ'C, 2 R Z7/ Q^jnufl be greater than DhtF -j” D hf C ; and confequently [ 320.] the ratio of 2Ri) / Qjo A CFH, greater than the ratio of D ht¥ + D hfC to A C F H *. It will be eafily feen that this Article improves conliderably the rule given in Art. 12. But we may determine within {fill narrower limits whereabouts the required chance muft lie, as will appear from the following Articles. 25. If c and d Hand for any two fractions, when- ever the fluxion of c x F t is greater than the fluxion of d x Cf (Vid. fig.) f xF/-(-^xC /'will be greater than Q t. For in the fame manner with Art. 6. it will appear that cxF^-j-^xC fis to Q/, as the fluxion o f f x F/ x 1 4- — x 1 — — to- I q q gether with the fluxion 0 f JxC / xi — — X P 1 -| to the fluxion of O t x 1 — — — — . Now q P q ft1 2J* i 2, # lince 1 — — — is the arithmetical mean between P 1 n z + /L Xj TXI 11 z n z — and i — x 1 H ■, it is q P q plain, that were the fluxion of c x F t equal to the fluxion of d x C f3 rxF t -\-d xC f would decreafe in refpedt of its own magnitude at the fame rate with i an(i> therefore, flnce at firfl: equal, they would al- ways continue equal. But the fluxion of c x F t being greater than the fluxion of d x Cf by fuppo- fition, and (flnce q greater than) p 1 X 1 — — , * This Art. is true, whether p be greater or lefs than q. 2 following [ 321 ] alfo greater than i — x 1 4* ~~~> it follows that P 9 the fluxion offXF/xi+7X i — — added p q to the fluxion of d X Cf x i — — x i -4- — is P _ q greater than thefe two fluxions multiplied by i - — . and, therefore, greater, than the fluxion of \ nz zz 1 — jf > and> therefore, c x F t -\- d x Cf greater than Qf. 26. It we fuppofe three continued arithmetical means betwen Cf and F t (3—l + F *f c_/ + F f 3 F t 4. C f\ ^ ^ " 4 ) Qj will be greater than the fecond, and lefs than the third, if p is greater than 1. That Q J will be greater than the fecond has been already proved ; and that it will be lefs than the third, will be an immediate confequence from the laft Article, if it can be fhewn that the fluxion of — — • is greater C f than the fluxion of This will appear in the following manner. The ratio of the fluxion of C/ to the fluxion of F ^ is by Art. 7. and 14. 1 - n z X I + n z q—I 1 + n z X 1 «""z| ! Q I The hyperbolic logarithm Vol. LIV. T t of [ 322 ] r .... I I I I of this ratio is x 2 n z -z — -7 p q t> p 3 <73 X 2 n i z- 1 , 1 2 if 2,5 r* + ?x &c 3 p* p' r 1 *' s' This ratio by Art. 18. is greatefl at the point of con- trary flexure, or when z — Subflitute this for z in the feries, and it will become - p q 2 \/' P 9 I I 1,1 ~ y~ P~ T,x 2 p l Xq I P* pi 3 x« — 1 11 &fc. which, therefore, exprefles the logarithm of the ratio when greatefl, and will eaflly difcover it in every cale. ’Tis apparent that the value of this feries is greatefl when p is leafl in refpeft of q. Sup- pofe then p — 2, and q infinite. In this cafe, the value of the feries will be 1.072, and the num- ber anfwering to this logarithm is not greater than 2.92. The fluxion, therefore, of C f when greatefl, cannot be three times the contemporary fluxion of F t ; from whence it follows that the fluxion of 2^— * muft be Greater than the fluxion of — - . 4 4 It is eafy to fee how thefe demonftrations are to be varied when q is lefs than p , and how in this cafe fimilar conclufions may be drawn. Or, the fame conclu- lions will in this cafe immediately appear, by changing p into q and q into p , which will not make any differ- ence in the demonftrations. In the manner fpecified in this Article we may al- ways find within certain limits how near the value of Qj comes to the arithmetical mean between F t and C f which limits grow narrower and narrower, as 4 p and [ 323 ]' P and q are taken larger, or their ratio comes nearer to that of equality, ’till at laid, when p and P 1% I — E a b — 2 E a b 2 + 2 X i -j- 4 o- IL a $ -j- E a l? IO n or. between .6748 and .70 57 ; that is, between the odds of 239 to 100, and 207 to 100. In all cafes when 2; is fmall, and alfo whenever the difparity between p and q is not great 2 £ is almoft exactly the true chance required. And I have reafon to think, that even in all other cafes, 2 £ gives the * In the Appendix, this chance, as difcovered by Mr. Eayes’s fecond rule, is given wrong, in confequence of making m1 equal n 3 _ „ 3 to — , whereas it fhould have been taken equal to P 9 ip q as appears from Article 8. true [ 325 ] true chance nearer than within the limits now deter- mined. But not to purfue this fubjedt any further; I (hall only add that the value of 2 Z may be always calculated very nearly, and without great difficulty ; for the approximations to the value of E a b\ and of the feries » - * 4. r!—l x — , &c. * 3 2 n 5 given in the Effay, are fufficiently accurate in all cafes where it is neceffiary to ufe them. * In the expreflion for this laft approximation there is an error of the prefs which fhould be corrected ; for the fign be- fore the fourth term Ihould be — and not + . LIII. An [ 326 ] LI II. An Account of a remarkable Meteor feen ^/Oxford, March 5, 1764. In a Letter to the Rev. fhomas Birch, D. D . Se- cretary to the Royal Society , from the Rev. John Swinton, B. D . R R. S. Member of the Academy degli Apatifti at Florence, and of the Etrufcan Academy of Cortona m Tufcany. Good Sir, Read Dec. 6, O M I N G out of Chrift-Church 176 common-room into the great qua- drangle, on Monday, March 5th, 1764, about yh 30' P. M. I obferved, with fome furprize, a general brightnefs in the air, much fuperior to that of the full moon^ though the heavens were then in fome meafure overcaft, and the moon only three days old. This unufual and very remarkable illuftration of the atmofphere continued the whole evening, though nothing farther meriting any particular regard (at leafl nothing that I either faw or heard of) for two or three hours occurred. But throwing up my bedchamber fafh, a little before eleven o’clock, I unexpectedly difeovered a mod glorious and exceedingly refplendent white [Tab, XVIIL] column in the fouthern part of the hetnifphere, which in luftre furpafled every thing of the fame kind that I had ever feen before. The bafe of this column feemed to be between twenty and thirty degrees diftant from the horizon, and was many degrees broad. The meteor afeended gradu- ally near thirty degrees, palling to the S. of the zenith- C S27 ] zenith. It was much narrower at the vertex than the bafe, and confequently approached fomewhat to- wards a pyramidal form. It remained a few minutes in a fixed and permanent date, after it had arrived at its greateft altitude, and was completely formed. About i ih 1 5' P. M. it grew fainter, and much Iefs vivid ; and there then darted from it towards the W. feveral whitifh rays and corufcations. At nh 20' the lucid column was barely vifible, declining apparently fouthward, and foon after totally difappeared. I went to bed at 1 ih 30' P. M. when the atmofphere was covered with the fame kind of luminous vapour, that before the formation of the bright Co- loffean pillar had appeared ; and, in the Southern part of the hemifphere, diverfified by undulations of fhining matter, that exhibited a mod beautiful and agreeable fcene. It may not be improper here to remark, that a meteor, called an Aurora Borealis , was feen at Lifbon, according to * one of the public papers, the very fame night. It is faid to have laded about four hours, and to have engaged the attention of the philofophers there. As from the fimilarity of certain circum- dances it might have been denominated an Aurora Borealis , though appearing in the fouthern part of the heavens, as that I obferved actually did j a more particular and didindt account of this phenomenon might poffibly enable us to determine, with fome de- gree of probability, whether or no it was the lame with that by me here fo imperfectly defcribed. Could the identity of thefe meteors be clearly evinced, or indeed rendered probable, feveral curious corolla- * Lloyd’s Evening Pojl. ries, [ 328 ] ries, relative to the altitude, motion, velocity, &c- and even the very nature itfelf, of that I had fo trans- ient a view of, might perhaps be deducible from it. Inftances of Aurora Auflrales , at lead: in our part of the world, are immenfely rare. At prefent that obferved by John Martyn, M. D. F. R. S. and Pro- fefTor of Botany in the Univerfity of Cambridge, only occurs. The account of this very uncommon appearance, tranfmitted by that ingenious gentleman to the Royal Society, and published by them in the Philojbpbical Pranfattiom *, highly merits the atten- tion of the curious meteorologist. This phenome- non, feen by him, January 23, 1749-50, and that of which I now fend you fo imperfect a defcription in feveral refjpects pretty well agreed ; but in others, which it would be Superfluous even to touch upon here, almoft totally differed. Some of the •J* public papers informed us, that an extraordinary pheno- menon was obferved in the air at London, the pre- ceding night, viz. March 4, 1764 ; which in a few particulars refembled that of which I have taken the liberty to communicate to you a Short account in this letter, but in the reft thofe two meteors were difli- milar enough. Perhaps thefe Aurora Aujirales may Some time or other hereafter be more frequent than hitherto they have been, and by certain new circum- stances attending them farther elucidate the theory of this Species of meteors ; the true caufe of which, not- withstanding the labours and refearches of feveral * Philof. Tranfafl. Vol. XL VI. p. 319. f The St. James’s Chronicle , Lfc. N° 468. 2 learned [ 329 ] learned men, feems not yet to be perfe&Iy known, I am, with all poffible confederation and efteem, SIR, Your much obliged, and mofl obedient fervant, Chrift-Church, Oxon. John Swinton. Aug. 22, 1764. -J LIV. ExtraB of a Letter from Mr . John Horfley, Fourth Mate on board the Glattoa Eaft-India Ship , to the Rev . Mr . Nevil Mafkelyne, F. R. S. dated Batavia, Nov. 16, 1763, giving an Account of his ObfervationSy at Seay for finding out the Longitude by the Moon . Dear Sir ; Read Dec. 1 3, "CT O U was fo good as to exprefs a j76+* defire of hearing from me, by every opportunity, during the time of my voyage j a requeft that I fhall always comply with, with a great deal of pleafure. I have the misfortune to inform you of our having lod: our paffage to China, the original occafion of which was our late departure from England. We Vol. LIV. U u arrived [ 33° ] arrived at Bencoolen July 29, where we were de- tained till the 13th of September. We found the winds drong fet againd us in the China feas, which obliged us to bear away for this place. I (hall now give you an account of the obferva- tions I have made, fince I have been out, and the fuccefs attending them. We failed from Spithead March the 8th, 1763 ; the 19th I had four obfervations of the didance of the Moon from the Sun ; by taking the medium the longitude agreed exactly with that by account. The 2 ift I had another obfervation,. and, the fame day, faw the iiland of Madeira, the body of which, ac- cording to this and the former obfervations (they agreeing exactly) I made to lie 170 i8/ wed: of Lon- don, which differs only 18 minutes from what it is laid down in the chart. The fuccefs I met with in this fird attempt gave me great fatisfa&ion, and made me continue my obfervations regularly to the idand of St. Paul’s, which we made July 5. The day be- fore I had three obfervations of the didance of the Moon from the Sun. July the 5th, the body of the iiland bearing by the azimuth compafs S. 27° W. didance fix leagues, the fky remarkably clear and fine, and the dfip having hardly any motion, circumdances all in my favour, I took nine obfervations of the didance of the Moon from the Sun, the captain and chief mate affiding me in taking the altitudes. I divided them into three fetts, and worked from the medium of every three ; by which I made the longitude of the fffip as follows, 75° 1 5^, 750 25', 740 40'. The three obfervations, I took the day before, made the longitude of the fhip 740 38' and 73° 32' which brought f 331 ] brought forward to the noon of July the 5th made 75° 4 S' an^ 74° 39' • Taking, the medium of the whole five fetts I made the longitude of the fhip at noon 750 8' 48" eaft of London. Subtracting from thence the diff erence of longitude, the bearings and diftance of the ifland gave = 8' 37" weft, I made the longitude of St. Paul’s 750 o' u" eaft of Lon- don, and 58° o' 11" from the Cape of Good Hope. By my account kept from an obfervation taken June the 1 8th, I made it73°3 5' eaft of London, and 5 6° 35' from the Cape, which differs i° 25' from what I make the true longitude : moft of the ac- counts on board were between two -and three degrees to the weftward of mine. The longitude of this ifland having never been determined by any other method than the runs of fhips to the Cape, there are hardly any two charts or books that lay it down alike, they differing from 710 to 740 in their ac- counts, which made me put little dependance upon any of them. On our arrival at Bencoolen I took three obferva- tion s of the diftance of the Moon from the Sun, in the road, by which I made Fort Marlborough to lie in 103° 50' 45" eaft of London. I was on fhore five or fix days in hopes of getting fome obfervations of Jupiter’s Satellites, but was dis- appointed by the cloudinefs of the nights ; fo that I got nothing for my pains but a fever, which had nigh coft me my life, terminating at laft in an intermiting one, which has continued with me ever fince, nei- ther does it feem to have any inclination to leave me at prefen t. U u 2 I have [ 332 ] I have laved all the obfervations I have made, and the work of them, which I fhould have fent you a complete copy of, if I had been well enough to have tranicribed them. I am, Yours, John Horiley. “ Mr, Horfley, whofe fkill and diligence are bet- 44 ter evinced by his own account than by any enco- “ miums I can give them, made ufe of a quadrant " made by Mr. Bird, and my Britifh Mariner’s 41 Guide, for determining the longitude of the fhip “ at fea. • N. Mafkelyne. LV. A?i Accoimt of a remarkable Meteor feen at Oxford, April 23, 1764. In a Fetter to the Rev. Thomas Birch, D. D. Secretary to the Royal Society, from the Rev. John Swinton, B. D. F. R. S. Mem- ber of the Academy degli Apatifti at Flo- rence, and of the Etrufcan Acadet?iy of Cortona in Tufcany. Good Sir ; Read Dec. 1 3, TT AV I N G taken a turn on the Parks, jt~l or Public Univerfity-walk here, on Monday April 23, 1764, towards the decline of the afternoon ■, I made a vifit to a friend in town, with whom [ 333 ] whom I have now and then an article of bufinefs to tranfad. Upon my return home, about 8h ioy P. M. looking over the houfes oppofite to Alban-Hall j I obierved a very remarkable kind of light, forming the reprefentation of an exceeding bright crepufcu- lum, or expanded body of vapour, which diffufed itfelf over all the northern part of the hemifphere that prefented itfelf to my view. This I looked upon as a prelude to an Aurora Borealis , in fome form or other. But as fuch appearances are pretty common here, efpecially of late years, I then paid no great at- tention to it. About 8h 55', not thinking of what I had feen, I threw up my fafh, and accidentally caff my. eye towards the N. W. where, to my very great fur- prize, I difcovered a luminous arch, [Tab. XIX.]; extending itfelf to the oppofite part of the heavens,, fomewhat refemblingan Iris , but of a bright white co- lour. I then went out into the ftreet, traverfed part of the town, and found the arch both in the N. W„ and S. E. to be nearly terminated by the horizon fo that it feemed to be almoft perfectly femicircular, and confequently in a manner to biffed; the hemi- fphere, when completely formed. The meteor was not exadly ered, but afcended obliquely, declining a little to the N. of the zenith. It was extremely, narrow, in breadth fcarce exceeding two degrees. It’s edges towards the S. E. were not fo well defined, but fomewhat jagged and unequal. From 9h to 9h 1 it exhibited a moft vivid refplendent whitenefs, fuch as, I believe, was hardly ever ob- ferved before. During that term, the. phenomenon feemed altogether fixed and permanent, without in- creafe cr diminution, without any apparent motion [ 33+ ] of the whole, and indeed almod without the lead external variation. An internal undulating motion of the particles condituting the white luminous matter of the arch was neverthelefs difcernible, from the firft to the lad moment of it’s exigence. No dars were vilible through the vapour itfelf, but two or three appeared at a fmall didance from it. Thefe, how* ever, were much obfcured by the interpolition of fome thin whitilh clouds, with which that part of the atmofphere was at this time covered. Not the fainted: traces of a proper Aurora Borealis , either before the fird appearance, during the continuance, or after the extinction of the meteor, were to be feen. Several young people were viewing it, when I went into the dreet ; who feemed, according to cudom, not a little alarmed at fo unufual a fight. One of them told me, that the arch began to be form- ed about a quarter before nine. In other parts of the city this wonderful phenomenon was likewife ob* ferved, both by townfmen and members of the Uni- verfity, not without fome degree of adonilhment and furprize. A little pad nine o’clock the extremities of the arch grew faint, as did foon after the whole body of the luminous vapour itfelf. About 9h 2o/ the fummit, or highed part, of the arch, a few degrees to the N. of the zenith, only remained ; which con- tinued gradually decreafing ’till gh 27', when the whole totally difappeared. With regard to the weather, the morning of the 23d was dark and lowring ; but the remainder of the day, from 1011 45' A. M. to fun-fet, was bright and clear, though cold out of the fun. The wind ’till fix P. M. was northerly, and blew pretty frefh, I but [ 335 ] but then came about to the N. W. From that time to Sh i 5' P. M. it gradually decreafed, and was fuc- ceeded by almod a perfect calm, the lead- breath of air being then fcarce perceptible. During the conti- nuance of the meteor, this calm remained j and after the extinction of it, the weather was considerably milder than before. The 24th was a warmer day than any we had had fince the month commenced,, the fun irradiating us from morning ’till evening with his Salutary rays. The whole hemifphere and the horizon this evening were clear and Serene, the fir-* mament being but flightly interfperfed with thin whitifh clouds. That part of it near the horizon was tinged with a mod beautiful red colour. The fun, jud before he emerged out of our hemifphere,. perfectly refembled a globe of fire. I have not yet been able to meet with an indance of a Similar phenomenon in any phyfiological papers, published before the year 1750. But accounts of two or three meteors Somewhat refembling that above de- scribed, in our Philvfophical ‘Tranfaciions *, then oc- curred. However, that of the 23d of April, 1764* differed from one cf thefe in it’s extent, as well as the inconfiderable breadth of the zone forming the arch, and the bifteCtion of the hemifphere. From the others it was Sufficiently didinguifhed by it’s mod vivid refplendent whitenefs, without any diort, white, vibrating columns attached to it ; especially, as it was neither preceded, attended, nor followed by any dreaming luminous rays, or corufcations. I cannot help therefore considering this as a lingular * Philofaphi. Tmnfaft, Vol. XLVI. p. 345, 346, 347, 648, 649- fort [ 336 ] fort of phenomenon, never hitherto honoured with an adequate defcription. If it fhould appear to the Royal Society in the fame light, they will excufe the trouble given on this occalion by, S I R, Your much obliged, and mod obedient, humble fervant, Chrift-Church, Oxon. Aug. 29, 1764. John Swinton. LVI. Some Remarks upon the Equation of \ Time , and the true Manner of cotnputing it . By Nevil Mafkelync, A \ M. Fellow of Trinity College, Cambridge, and F. R. S. Read Dec. 13, HE S E remarks were wrote above I a twelve-month ago, and would have been then communicated to the Royal Society, had not my voyage to Barbados prevented it. Since my return from thence, I find part of the miftakes here pointed out acknowledged and corrected by M. Delalande, in his Treatife of Aftronomy lately publilhed, to whom I remember to have communi- cated my ideas on the fubjecd, when he was in England. Neverthelefs, as the eiror arifing from taking C 337 ] taking the equation of the equino&ial points into the account dill remains uncorrecded by him i and as I flatter myfelf, that what is faid here may tend to fet the whole matter in a clear light, I apprehend the publication of thefe remarks may flill be proper. The French Almanack, called the Connoiflance des Mouvements Celedes, hath been defervedly edeem- ed by adronomers, as the moft complete publication of its kind. Its prefent learned editor M. Delalande hath rendered its ufe more extenfive by making the calculations from the lateft and mod approved tables, and alfo adding fuch explanations of them, as, at the fame time, lay open before his readers the mod confiderable improvements of modern adronomy. Neverthelefs, as the bed mathematicians are not in- fallible, fo I have reafon to think I have difcovered fome errors in M. Delalande’s method of computing the equation of time in this ephemeris, or, which comes to the fame thing, the mean time, at the in- dent of apparent noon. M. Delalande fays, page of the Connoidance for 1760, which he repeats in the publications of other years, that, “to calculate exactly thedifference between “ mean and true time (that is to fay the equation of cc time) at the indant of apparent noon, the fum of , computed from his longitude, corrected by the equation of the equinoxes A B, or B S, is reckoned from another point B. Now the equation of time is proportional to the difference be- tween the fun’s mean and true right afcenfion, both reckoned from the fame point ; fo that if the fun’s mean right afcenfion is reckoned ffrom A, his apparent right afcenfion, in this cafe, fhould be reckoned from A too; or if the apparent right afcenfion is reckoned, more properly, from the apparent right equinox B, his mean right afcenfion, for this purpofe, fhould be reckoned from B likewife. For it is plain, from what has been faid above, that no fmall motion of the pole P can at all affeCt the abfolute time of a ftar in the equator’s coming to the meridian of any place ; for, the tangent Qj then becoming infinite, the angle P T Qj/anifhes ; therefore the mean equi- nox [ 342 ] nox A will come to the meridian at the fame inftant Oi abfolute time, as if the pole had not been tranflated from P to Qj and the difference of time between the lun S coming to the meridian, and a fiidfitious fun U, fuppofed to move uniformly in the equator, with a motion equal to the fun’s mean mo- tion in longitude, or the equation of time will be there- fore meafured by A Q^S ' — > A P U, the difference of their right afcenfions reckoned from the fame point A. It will alfo, by the like reafoning, be meafured by B ^ B P U, the difference of their right afcen- fions reckoned from the fame point B ; for B being the equinox, when the pole is at Q, the abfolute time of the point B palling the meridian of any place will remain the fame as if the pole had conti- nued at P j whence the propofition eafily follows, in like manner as above. It may be now proper to fhew how the equation of time, as affected by the nutation of the earth’s axis, ought to be computed. This may be done two ways. The « firfl follows from what has been julf “ laid down : correct the mean right afcenfion of “ the fun U P A, by the precefhon of the equinoxes “ in right afcenfion APB (which is always to the preceffion in longitude B A, as cofine of the obli- “ quity of the ecliptic, to the radius, or as 12 to “ 13 nearly) the difference of the fun’s mean right “ alcenfion thus corredf ed B P U, and the fun’s appa- “ rent afcenfion B QS, turned into time, is the true “ equation of time.” Otherwife the effedt of the nutation of the earth’s axis upon the equation of time, if thought defend- ing notice, as it can never exceed 1. of a fecond of time, [ 3+3 ] time, might be computed from the angle PTOv = P Q^x fine of TPD-r TQ, which, luppofing the nutation of the pole to be performed in a circle, whofe radius is 8" , or a mean between the two con- jugate femi-axes of the ellipfis, in which it really moves, is — W' x tangent of the fun’s declination X cofine of the difference of fun’s right afcenfion, and the longitude of the moon’s afcending node. But this is not the only miflake in the computa- tion of the equation of time in the Connoiffance des Mouvements Celeftes, though it may exceed one lecond of time. M. Delalande fays that the fum of the equation of the fun’s centre, the difference be- tween his longitude and right afcenfion, and the fum of the four little equations, muff be converted into mean folar time, in order to find the equation of time; and adds, that no exadt equation table could be had, before this time, for three reafons, one of which is, that it has always been the practice to convert the equation of the fun’s centre and the difference between his longitude and right afcenfion into time of the Primum Mobile, inftead of mean folar time, which, fays he, may produce an error of 2 4- feconds. Now I muff here freely own, that as I could not, without fome reludlance, and only from the fulled proof, allow all the mathematicians and aftronomers, before this time, to have been miftaken in the man- ner of converting the quantities above-mentioned into time, fo I can find no reafon to conclude fo from what has been cited above: on the contrary, from a full confideration of the fubjedt, I apprehend the method hitherto ufed by the mathematicians to be C 344 ] be juft, and that the author has himfelf fallen Into an equal miftake with that of which he accufes them. But, in order to fet this matter in a clearer light, it will be firft neceffary to conlider motion and time, relatively to each other ; tor, except this be done, it will be impoflible to underftand any thing precife from converting a certain number of minutes and feconds into mean folar time, or time of the Primum Mobile. There are three different kinds of time ufed by aftronomers, fidereal time, apparent folar time, and mean folar time. The interval between the tranfit of the firft of Aries acrofs the meridian one day, and its return to it the next day, is called a fidereal day, which is divided into 24 equal parts or hours, and the hours into minutes, &c. This time is fhewn by a clock regulated to agree with the tranlit of the ftars acrofs the meridian. The interval between the tranfit of the fun acrofs the meridian one day, and Ins tranfit the next day, is called an apparent folar day, which is divided into hours, minutes, Q3c. of apparent time. The folar day, it is manifeft, and its hours, minutes, & fc. are of different lengths, at different times of the year : on account of which inequality, a good clock, which keeps equal time, cannot long agree with the lun’s motion, which is unequal. Therefore, aftronomers have deviled an imaginary time, called mean -folar time ; which is what would be pointed out by the fun, if his motion in right afcenfion from day to day was uniform, or, in other words, it is what would be pointed out by a fi&itious fun or planet fuppofed to move uniformly in the equator, with a motion equal to the mean A motion [ 345 ] motion of the fun in longitude, its diftance from the firft point of Aries (meaning hereby the mean equi- nox) being always equal to the mean longitude of the fun : and as apparent noon is the inftant of the true fun’s coming to the meridian, fo mean noon is the inftant at which this fi&itious planet would come to the meridian. The interval between its coming to the meridian on any two fucceftive days is a mean folar day, which is divided into hours, minutes, &c, of mean folar time ; all which it is manifeft will pre- ferve the fame length at all times of the year. The equation of time, at the inftant of apparent noon, or of the fun’s pafling the meridian, being equal to the difference between mean time and 12 hours, is alfo equal to the interval between the mean and true fun’s pafting the meridian expreffed in mean folar time : to find which, we have the diftance of the mean fun from the meridian, at the inftant of apparent noon, equal to the difference between the fun’s apparent and mean right afcenfton (both reckoned either from the mean or apparent equinox) which may be called the equation of right afcenfion. The queftion, therefore, comes to this, How many mi- nutes and feconds of mean folar time doth the mean fun take to move this diftance up to or from the meridian ? Aftronomers hitherto have allowed 1 mi- nute of time to every 1 5 minutes of right afcenfion, and fo in proportion ; and, I apprehend, juftly too; for does not the mean fun, in returning to the me- ridian, defcribe 360° about the pole in 24 hours of mean folar time ; whence it is plain, that his depar- ture from the meridian is at the rate of 150 to 1 hour, and 15' to 1 minute of mean folar time. Vol. LIV. Y y Therefore [ 346 ] Therefore aftronomers have not converted the equa- tion of right afcenfion into time according to the motion of the Primum Mobile j for, the equation of time being mean folar time, and the motion of the Primum Mobile being compleated in 23 H. 56 M. 4 S. of mean folar time, therefore 15 motion or the Primum Mobile does not anfwer to 1 hour of mean folar time (though it does to 1 hour of fidereal time) but to the 24th part of 23 H. 56 M. 4 S. or 59 M. 50 4 S. And it appears, that the equation of time in the Connoifiance des Mouvements Celeftes has been computed in this manner, and the table in the 79th page of the Connoiftance for 1761 has been made ufe of, entitled, “ A table to convert into de- or too fmall by 1 fecond upon every 6 minutes ol the equation 4 [ 347 1 equation of time : and the miftake of 2 L feconds, which was fuppofed to be found in the old manner of reducing the equation of right afcenfion into time, really takes place in this new method ; which, added to i fecond of time, arifing from the miftake in taking the preceflion of the equinoxes into the ac- count, produces 3 4- feconds, an error which, I ap- prehend, the aftronomical equation tables ufed ftnce Mr. Flamftead’s time have but rarely exceeded. To fome, who are not well acquainted with the prefent improved ftate of aftronomy, the difference in queftion may feem a matter of indifference, and too trifling for notice. But, if truth is the objecft; of all our enquiries, why fhould we wilfully go beflde it in the fmalleft matters ? And is it not a juftice due to paft aftronomers, to whom we owe the founda- tions of all our knowledge, to vindicate them even from the fmalleft cenfure, which they do not appear to deferve ? At the fame time, I flatter myfelf, that the learned editor of the Connoiflance des Mouvements Celeftes, and alfo the friends of the late illuftrious Abbe de la Caille, who, I believe, was inadvertently the firft author of this miftake, will take no offence at my endeavouring to clear up a point, which they, doubt- lefs for want of having given fufficient. attention to, feem to have miftaken : lince, truth being the com- mon objedl of all our purfuits, we ought candidly to accept as well the affiftance we receive from each other for bringing us into the right road, when we happen to have ftrayed from it, as for helping us forward on our journey. The Figure referred to in p. 339. Jhoukl be Tab. XX. Y y 2 LVII. JJiro- [ 348 ] 9 LVII. Agronomical Obfervatiom made at the IJland of St, Helena, by Nevil Mafke- lyne, M. A, Fellow of Trinity College, Cambridge, and F. R. S, t o THE RIGHT HONOURABLE The Earl of MORTON, President, AND The Fellows of the Royal Society, the Following Obfervations made, when I was employed, by their Appointment, at St. HELENA, ARE Mod refpe&fully prefented, by, His Lordfhip’s, And the Royal Society’s, Mod: obedient. Humble Servant, Nevil Mafkelyne. T II E [ 349 ] Read Dec. 20, i-6 t,r“ g ' H E following obfervations and ja.i 20,176 . were taken with a reflecting telefcope, of two teet focal length, made by Mr. Short (of a fimilar (ize and conftrudtion to thofe ufed in the obfervaiion of the Tranfit of Venus, by him- felf at Saville Houfe, by Mr. Green at Greenwich, and by Melf. Mafon and Dixon at the Cape of Good Hope), with an equal altitude inftrument made by Mr, Bird, and a clock, with a gridiron pendulum, made by Mr. Shelton, an account of whofe going, at Greenwich, before my departure for St. Helena, and immediately upon my arrival there, is contained in Phil.Tranf. Vol. LII. Part II. Page 434. and the difference of gravity between thofe two places thence deduced. The almoff continual cloudinefs of the fkies, at the Ifland of St. Helena, renders it a very inconvenient place for the making of affronomical obfervations, which I had the mortification to experience in lofing the fight of the exit of the planet Venus, from the fun’s difc, on the 6th of June 1761, to obferve which was the primary motive of my going thither. I fhould have thought myfelf, in a great meafure, compenfated for this mifchance, if I had been enabled, by the help of the ten foot fedlor, provided me at the expence of the Royal Society, either to prove or difprove the exiftence of a fenfible annual parallax of the ftar Sirius, fome reafons for the probability of which I laid before the Royal Society, in a paper fince publiflied in Phil. Tranf. Vol. LI. P. II. p. 889, and, at the [ 35° ] the fame time, offered a propofal tor the di/covery of the fame, by obfervations of the zenith didance of that dar, to be made at the ifland of St. Helena. But, unfortunately, when I came to let up the fedor there (which, through the tardinefs of the workman in finifhing it, I had not had an opportunity of proving, as I had wifhed, before my departure from England) I loon found a ftrange irregularity in the obferved zenith didances of the dars, amounting to io, 20, and fometimes even 30 feconds. After having fatisfied myfelf, by various trials, that theie great differences in the obfervations did not arile from any bending of the tube of the telelcope, which conditutes the radius of the indrument, or from any lcofenefs in the objed-glafs, or indability of the wooden three-legged Hand, which fupports the fedor , I, at lad, found the caufe of error to lie, where I had lead fufpeded it, in the imperfedion of the fufpenfion of the plumb-line (which is a fine diver wire) from the neck of the central pin; for, upon taking the loop of the plumb-line off the pin, and putting on again, after turning it half round, or putting on a new one, 1 found the plumb-line would apply itfelf to a different part of the limb of the fedor, commonly by 10, and frequently by 20 feconds. This experiment, with the fame event, I had the honour of exhibiting before a committee of the Royal Society, for their fatisfadion, as to the caufe of the failure of my intended obfervations, September n, 1762, at the Britifh Mufeum. The irregularities in quedion evidently arofe from the fridion of the loop of the plumb-line againd the neck of the central pin ; a fault, to which mod of the [ 35 1 ] the fedors, made before mine, have probably been liable. Indeed the fault became more glaring here, by the workman’s having made the diametei of the neck of the central pin fo large as Ag-th of an inch ; but that the errors cannot be entirely removed by leffening the neck of the pin, I can affert from my own experience, having caufed a pin to be made with the neck only TVth of an inch in diameter (and beyond that it cannot well be reduced) by which I ffcill found an irregularity in the fufpenfion of the plumb-line, to the amount of 3", a quantity, though feemingly fmall, yet of great confequence in the nice obfervations to which this inftrument is geneially applied, and which it is capable of taking to a pio- digious exadnefs, when the fufpenfion of the plumb- line is accurately provided for. Mr. Biid has con- trived one of fix foot length, for fettling the limits between Pennfilvania and Maryland, in which the plumb-line is adjufted fo as to pafs over againft, and bifletf: a fmall point at the centre of the inftru- ment. _ . . I cannot, on this occafion, omit remarking that the late learned Abbe de la Caille s fedor, with which he made his principal obfervations, from fome of which I inferred the probability of an annual par- - allax of Sirius, feems to have had a like fault with nay fedor, as may be inferred not only from the differences in the obfervations themfelves, but alfo from the brief account of the fufpenfion of that in- ftrument, contained in a letter with which I have been favoured by M. Delalande from 1 aiis, an extrad of which I prefented to the Royal Society. Vide Phil. Tranf. Vol. LII. Part 2. Page 607. Let [ 352 ] Let me obferve alfo, that the 9 foot fedtor, made in London by Mr. Graham, with which the gentle- men of the Royal Academy of Sciences at Paris meafured a degree of the meridian, at the polar circle, and afterwards a degree between Paris and Amiens, had, at the time of their making thole ob- fervations with it, the fufpenfion of the plumb-line contrived after the fame manner as mine (whatever alterations may have fince been made in it) as ap- pears from M. De Maupertuis’s minute and accurate defcription of the faid inftrument, in his account of the meafure of the degree of the meridian between Paris and Amiens : for he there fays, that the part of the central pin, on which the loop of the plumb- line was hung, refembled the meeting of two oppo- fite cones at their points j which is an exadt defcrip- tion of the form of the neck of the central pin of my fe&or. But, though this capital defedt in the fufpenfion of the plumb-line of my inftrument (which I could not corredf, at St. Helena, for want of workmen and tools) prevented me from deciding the queftion concerning the annual parallax of Sirius ; yet, as 1 am confcious, the want of fuccefs did not arife from any fault of mine, I (hall endeavour to confole myfelf for my difappointment, by the reflexion, that I may, at ieaft, have contributed fomething to the benefit of aftronomy, by having difcovered, by my experiments, the imperfedtion of the above- mentioned method of fufpenfion of the plumb-line in fedtors, which no one ever fufpedted before, and fo may be the means of preventing any more in- ftruments of this kind being conftrudted in the like faulty [ 353 ] faulty manner, and confequently any future aftrono- mers being deceived in their obfervations. There dill remained one objedt worthy of atten- tion, which 1 had alio propofed to the Royal Society, and received their encouragement to proceed in it. This was the obfervation of the horary parallaxes of the moon, by the difference of right afcenfion in time between the moon’s enlightened limb, and ftars near her parallel of declination : a kind of obferva- tion never before made to my knowledge, by any adronomer, in a latitude fo near to the equator, as St. Helena, which, by determining the mean hori- zontal parallax in that latitude, infers al fo, by a pro- portion, which will come out lenfibly the fame upon any probable hypothefis of the figure of the earth, the mean equatorial parallax, which hath never yet been deduced in any manner fo nearly diredt. For the purpofe of making thefe obfervations, I was provided with a polar axis, fuitable to the la- titude of the place, on which my reflecting telefc pe was mounted, and a particular additional eye-piece, having fine lilver wires lfretched in the focus of the neared eye-glafs. The cell containing the wires being moveable round about, by means of a fcrew, it was eafy to caule any ftar near the moon’s parallel of declination to run exadtly along one of the wires, which may be called the directing wire, from the centre to the extremity of the field of the telefcope. The exact infiants of the ftars pafling three wires placed perpendicular to the former, which may be called the horary wires, reprefenting fmall portions of horary circles, were noted by the clock Vol. LIV. Z z to [ 354 ] to the exa&nefs of -1th of a fecond of time j as were alio the inftants of the moon’s enlightened limb pading the fame wires. It is manifeil that the difference of time, obferved by the clock, between the ftar and the moon’s limb paffing the horary wires, reduced to fidereal time, and from thence into parts of the equator, is the apparent difference of right afcenfion between the ftar and the moon’s limb palling the horary wires. The fame obfervations re- peated after an interval of fome hours gave the pre- fent difference of right afcenfion between the ftar and the moon’s limb; whence the moon’s apparent mo- tion in right afcenfion, or the difference of thefe dif- ferences is known ; which fubftra£ted from the moon’s motion in right afcenfion, in the given inter- val of time, owing to her proper motion in her orbit, computed, in the moft exadt manner, from the beft tables, leaves the remainder for the change of the moon’s parallax in right afcenfion between the two times of obfervation ; the ratio of which to the horizontal parallax at that time being alfo com- puted, the horizontal parallax of the moon is known : and confequently, by the help of a proportion bor- rowed from the tables, the mean horizontal paral- lax of the moon in the latitude where the obferva- tions are made. The mean horizontal parallax be- ing deduced in this manner from a great many ob- fervations on different nights, the mean of all the refults may be taken, as approaching very near to the truth : for the advantage is fo great from taking a mean of a great number of aftronomical obferva- tions, that any degree of exa&nefs required, may [ 355 ] be thereby obtained, provided they are not liable to any confiant and uniform caufe of error : as has been clearly (hewn by my late worthy and learned friend Mr. Thomas Simpfon, Phil. Tranf. Vol. XLIX. Part I. Page 82 ; and alfo in his Mifcellaneous Tract, Page 64. Therefore I cannot but think, that, from a confiderable number of fuch obftrva- tions, the mean horizontal parallax, and thence the mean equatorial parallax of the moon might be de- duced certainly to a tingle fecond, or ever nearer if required. In hopes of attaining fuch a degree of exadtnefs, I endeavoured to multiply my obfervations as much as poffible : yet, through the great cloudinefs of the ifland, could not obtain more than three nights com- plete obfervations. If thefe fhould appear too few to attain the exadtnefs propofed, yet they may contri- bute, in a good mealure, thereto. Plowever, 1 have fince had an opportunity, during my refidence at the ifland of Barbadoes, in the latitude of 130 north, which 30 degrees nearer the line than St. Helena, to repeat thefe obfervations to a very great number, from which, I doubt not, the mean equatorial par- allax of the moon may be accurately determined. I (hall here defire to remark, that, if the like ob- fervations were repeated in different latitudes, they would probably afford the bed means yet propofed for afcertaining the true figure of the earth ; as they would determine the ratio of the diameters of the parallels of latitude to each other, the horary par- allaxes being proportional thereto : and, after all the experiments and obfervations that have been made Z z 2 on [ 356 ] on this fubjedt, we fhall probably, at laft, be in- debted to obfervations of the moon’s parallax for the bed determination of it: for though the earth affords but a fmall bafe at the moon, yet, by repeating thefe trials, and comparing their refults, we may hope to attain that degree of exadtnefs, which we could never expedt from fewer obfervations. As I look upon the fpecies of obfervations here fpoken of to be of very important ufe for the im- provement of aftronomy and geography, and as fuch defire to recommend the practice of them, efpecially to thofe who may have occafion to vifit countries of diftant latitudes; I fhall briefly mention fuch further particulars, which the experience I have had, and my attention have fuggefted to me, the obfervance of which may conduce to the greater accuracy, as well of the obfervations, as of the confequences to be deduced from them. I apprehend the ufe of a polar axis to be very ne- ceflary for rightly managing the telefcope, as well for finding what ftar it is proper to compare the moon with, as for -preferving the pofition of the wires unvaried, after their adjuflment. A very nice and exadt polar axis is not requifite ; but a cheap one, and fuch an one as may eafily be provided, will fuffice. Mine was formed by a brafs focket, making an angle with the horizontal top of the ftand equal to 1 6° or the latitude of the place, receiving the brafs cylindrical fupport of the telefcope, inftead of the perpendicular focket of the common ftand : and the telefcope was firmly confined in the focket bv a pointed fcrew which pafled through one fide of the C 357 ] the focket into fome of the holes, wich were drilled in the fupport of the telefcope. The polar axis may be fet near enough to the di- rection of the meridian, by a magnetic needle, allow- ing for the variation ; or, even by the light, pro- vided the walls of the obfervatory be built nearly north and fouth. This being done, and the direct- ing wire being brought into fuch a pofition, that the ftar may run exaCtly along it from the centre to the extremity of the field of the telefcope ; then if the fcrews of the rack work be turned, and the ftar be brought back to the interfeCtion of the wires, it will be found to run exaCtly along the directing wire again ; and this I generally found would be the cafe, even for a very confiderable fpace of time, though the ftar had, in the mean time, advanced a confi- derable way from eaft to weft by the diurnal rota- tion ; fo that it is not always neceffary to re-adjuft the wires after each fett of obfervations, though it may be proper to examine whether they require it or not. Hence it follows, .that there can be no danger of difturbing the pofition of the wires after their adjultment, by bringing the ftar back to the entrance of the telefcope, in order to oblerve its palfage acrofs all the horary wires. Sometimes it fo happens that a proper ftar cannot be found that precedes the moon, to compare her with ; in fuch a cafe, the obferver muff compare her with a ftar following her, and adjuft the wires by making fome bright point of the moon run along the directing wire, which is a more exaCt method than by making the directing wire a tangent to the moon’s north [ 358 ] north or fouth limb. Here, indeed, the directing wire cannot reprefent a parallel to the equator, on account of the moon’s continual change of decli- nation, bat will make a fmall angle therewith ; which may be computed, and the obfervations cor- rected accordingly. But the correction may be ealier made, as follows, let a exprefs the moon’s apparent angular motion about the pole of the world in four minutes ot time, being the difference of her proper motion in right afcenfion, and the change of her par- allax in right afcenfion: d her apparent motion and declination in the fame time, h the difference of the apparent declination of the moon, and that of the flar, r the radius, and c the cofine of the moon or ffar s declination ; the correction to be applied to the moon s right afcenfion, or the difference of right afcenfion of the moon and ftar is h x - X — . If a c 1 the moon is approaching the ftar’s parallel of decli- nation, fhe will come to the horary wire relatively too late for the ftar, and her right afcenfion, deduced immediately from that of the ftar, will be too great, and muft be diminished by the correction here men- tioned ; but, if the moon is receding from the ftar’s parallel of declination, fhe will come to the horary wire relatively too foon for the ftar, and her right afcenfion, immediately deduced from that of the ftar, will be too fmall, and muft be increafed by the above-mentioned correction. There is another attention, which the nice ob- ferver will not think too trifling for his notice, name- ly, to examine whether the wires of his telefcope are [ 3S9 ] are placed at exaft right angles to each other (which they feldom are) and, if they are not, what the quantity of deviation is, in order to make an al- lowance for it in the reduction of the obfervations. This may be tried feveral ways. I examined the wires of my telefcope at Barbados, by a gieat many obfervations of the difference of right aicenfion of ftars, which differed confiderably from each other in declination, namely Ardurus, and the little fiar accompanying it, and the virgin s fpike, and a fmall flar preceding it j fir ft with the wires in the common pofition, and next when turned a quarter round, makincr the middle horary wire ferve as a directing wire • for, if the wires do not cut each other at light angle’s, the difference of right afcenfion of the ftars will come out too much one way, and as much too little the other way, and half the difference will be the corredion in this cafe, whence it may be in- ferred in all other cafes. Or, the angle of the de- viation of the wires from a right angle being hence found the correction of the difference of light afcenfion of the moon and ftar, is to the difference of their apparent declination ; as the fine of the angle of the deviation of the wires is, to the cofine of the moon or ftar’s declination. . I have determined the deviation of the wires of the telefcope, which I ufed at St. Helena, by com- paring them with a right angle, formed by two Elver Vires on a brafs plate, fixed up in a window at the diftance of 30 feet from the telefcope The extent of the compaffes, with which the tnterfeaing arches were ftruck, for finding the perpendicular [ 360 ] 1 ines on the plate, being no lefs than /even inches, thofe wires may be fuppofed to differ infenfibly from a rig it angle to each other. The telefcope beincr adjulled for feeing them diftindtly, I brought thal wire of the telelcope, which in celeftial obferva- tions reprefented a parallel of declination, to be ex- actly parallel to one of the wires on the plate, with the fmalleff interval pofiible; and, at the fame time, made the middle perpendicular, or horary wire, to pafs through the interfeftion of both the wires* in the window: when I plainly difcerned, that the wires of the telefcope were not exadtly perpendicular to each other, the fuperior angle to the right being ma- nifestly acute, and the fuperior one to the left obtufe. This I further verified by applying the acute angle to the left hand fuperior angle of the plate, turnin'* the wires in the telefcope a quarter round, from right to left, by the lerew adapted for this purpofe, when the fame difference appeared as before. This proved alio that the wires on the plate made exadt right angles with each other; otherwile the acute angle of the wires of the telefcope could not have ap- peared to differ equally from both of them. To find the exact difference of the angle made by the wires from a right angle, I had a third wire placed exadtly parallel to one of the former on the plate at the distance of ^!_th of an inch ; when by applying the angle of the wires of the telefcope to the right angle on the plate, the deviation of the former from the latter appeared to be equal to half the interval of the parallel wires at the extremity of the field of view ; but the femi-diameter of the field of the leleicope at the diltance of the wires in the window being [ 36r 3 being; meafured — — th of an inch; whence the angle of deviation of the wires, from a right angle, is 21 minutes. But, by a mean of 1 1 trials, the quantity of the deviation came out 28'' JL, the extreme refults being 21' and 36'. This is the deviation of the fouth part of the middle horary wire, from a perpendi- cularity, to the directing wire towards the eaft, in the obfervations at St. Helena ; a ftar, that paffed fouth of the centre of the telefcope, coming to the ho- rary wire too foon, and a ftar that paffed north of the centre coming later to the horary wire than it ought to do. In order to determine whether the two other ho- rary wires were parallel to the middle one, or, if not, what angle they made with it, I compared the tranfit of 13 ftars acrofs the three horary wires, with thofe of as many more ftars differing confiderably in declination from the former, all obferved at St. Helena; and from the differences of right afcenfion at the feveral wires, after making an allowance for the convergence of the meridians, which however is not 2 I found the fouth part of the firft or eaftern wire to deviate from a parallelifm with the middle one towards the weft by O' 4- 9 ii 8 a 4 22 38— 22 53— 23 8 — 12 N. b 4 24 57 2 5 13— 25 274 u) N. c 4 Clouds 28 39 28 54 ii^N. e 4 30 18 Clouds 30 48— I2“N. D 4 33 55 34 Hi 34 27 10 18 38 a 4 52 44— S2 59 53 H / b 4 Clouds 55 19 55 34 b 7 N. of a D 5 4 54: 5 9- Clouds 10 49 3i a e 5 15 9 Clouds 15 39 ' D 5 20 44 20 20 20 35 x 11 4 40 * 5 3° 52 3i 7* 31 22 \ * a 5 33 i5 33 30 33 45 20 circ. of S. ^ a 5 57 39 57 54 + 58 9 -f- 6*N. b 5 59 59 + O I4i 13 t N. c 6 3 25 4 3 40 4 3 55 *■ 6 : n. € 6 5 20 5 35 5 50 7 iV N. D 6 1 1 44 12 0 — 12 15 11 56 12 * 6 18 18+ 18 34 18 49 a 6 20 43 20 58 21 13 20 cir. S. of ^ b 623 2 Clouds 23 32 * 13 4 S. of ditto c 6 2b 28 -{- 26 4 3 I 26 59 21 4 S. of ditto € 6 28 23 28 38 -f >8 53“ 19 4 S. of ditto e 7 55 56 56 1 1 \ 56 26 + 10 S. 8 5 56 6 12 6 27 13 5° 9 T? January [ 377 ] January 9. Compared D ’s weftern limb with three ftars. ^ Adjufted the dire&ing wire by a bright point in the moon. 1 ft Wire 2d Wire >d Wire Stars N. or S. of J) ’s centre D’s Limb at Mid. Wire H , „ / // / // / Apparent Time H ' " D L. 1 * 2 * 3 59 42 4 4 59 58 17 cir. 19 42 0 13J 10 cir. S. 1 N. 9 41 8 3* 4 23 ro 23 26 — li 40i nf s. January 9. from equal altitudes, the fun palled the meridian at 18 H. 17M. 29 S. and January 10, at 18 H. 20M. 50,6 s. per clock, which lofes 59 S. upon the rate of fidereal time in one revolution of the fixed ftars : therefore the fun may be com- puted to have paft the meridian, January 8, at 18H. 14 M. 7 s* 5 February 3 a b D 4 49 31 4 5° 4 53 23’J- 49 45 i 17 53 59 50 0 32 53 54— r The minute J following obfei L been 50 M. to rot noted, but from -vations muft have middle wire. 7 44 28 b D 5 0 6| 5 3 42 0 21 3 57 0 36—' 4 12 1 7 54 44 ? D * February 5 5 0 °s 5 0 16 0 31! 10 13 6 N. 7 42 52 D * 5 44 I2i 5 52 40 44 28^ 52 55 44 44— 53 10 5N. 8 26 56 5 * 5 57 7— 6 5124- 57 23 5 27 x 57 38 5 43 8 39 48 D * V 6 22 24 6 ol. LIV. 22 39 3° 3 22 55 30 18 C c c 9 5 0 1 ft Wire 1 ft Wire [ 378 ] ' i ft Wire 2d Wire 3d Wire Stars N. or S. of ]) 's centre D’s Limb at Mid. Wire H / // / // / // / Apparent Time H , „ G February 7 3) g i l 6 36 5 6 6 58 48 6 59 49 + 7 1 24 36 20 51 I cir. 0 . 4 36 35 59 7 N. 12 N. 12 S. 9 10 29 D 7 24 4— 7 24 19 39 cir. 24 34 13 S. 3 5 S. 9 58 20 l 7 48 2 48 17 48 32 i 1 827 2 22 2 36 + 5|S. - D a b c 9 7 10 9 9 7 25 7 40 16 1 + 18 20 18 32 10 S. ii 41 8 h k 9 26 3 9 26 171 26 32 2 7 46 7 i s- l in n 9 9 9 32 18 28 38— 32 15 32 32 28 52-c 32 46t 8 A N. 0 9 36 42 36 57 + 37 11 + 6 S. P 9 38 29 38 43 1 38 58 + 6 N. <1 9 42 27 + 42 42 42 5&i 5 I N. D 10 9 38^ 9 5 3^ 10 9 — 12 43 26 c f k l 10 18 51 10 10 10 19 6 26 32 28 21 29 27 19 20 + 14 N. 0 22 N. 7 10 43 16 43 31 43 46 18 4 N. i D m ro 51 344 10 57 8— 5 * 49* 57 23 52 4 + 13 3 N. r3 25 15 f ( 1 7 J7 + 7 32 9iN. i ft Wire [ 379 3 x Wire 2 Wire 3 Wire Stars N. or S. of D ’s centre D ’s Limb at Mid. Wire Apparent Time H / /, / // / // / H , „ 5 12 22 10 22 25 + 22 40 + 14 55 36 d 12 29 16 29 31 — 29 45 + 12 TTT S. D 12 36 17 + 36 32i 36 48— 15 9 44 d 12 42 54i 43 9 43 24— 9 +0 S. e 1 2 44 9— 44 23^ 12 S. D 12 53 10 53 26- 53 40 + 15 26 31 d 12 59 13— 59 27 59 4i* e 13 012 0 27 — 0 41 l 13 7 27 7 42 7 57 15 4° 45 d 13 12 5?i 13 i3 13 28 5 13 21 32 21 48 — 22 3 15 54 48 e *3 27 48 + 3 s- S February 9 D 3 59 42 59 58 0 13 1 6 26 26 4 17 cir. 1 1 S. 4 19 42 1 N. 4 23 10 23 26— 23 40^ 1 1 S. The obfervations from February 3d were made with my own clock, with which Mr. Dixon returned from the Cape of Good Hope December 30th, 1761, after examining the going of it there. He found it to get there 36,6 feconds upon fidereal time in one revolution of the fixed ftars, or 29,3 feconds per day more than it got at St. Helena with the fame length of pendu- lum : but I propofe to give a more particular account of thefe, and fome other experiments then made by Air. Dixon at the Cape, fome other opportunity. From equal altitudes, the fun pafled the meridian, January 30th, at 20h 51' 8" \ ; February 5th, at 2ih 16' 5", 6 ; and February 7th, at 2ih 24' 17", 7. Hence the dock appears to C c c 2 have [ 3^0 ] have got at the rate of 6", 3 upon fidereal time in 24 hours. By the fetting of four ftars behind the hill, obferved with the telefcope of the equal altitude inftrument, January 29th, and again February 7th and 8th (after the manner defcribed by Mr. Mafon in his account of the going of Mr. Ellicott’s clock de- termined by him and myfelf in this manner, Phil. Tranf. Vol. LII. Part II. Page 534.) the clock appeared to get 6", 25 upon fidereal time in one revolution of the ftars, which agrees exa£Uy with the former determination by the fun’s equal alti- tudes. In like manner, I always found the going of the clock, determined by thefe two different methods, would come out as nearly the fame as the equal altitudes of the fun could be de- pended upon, that is to fay, to a fecond, even from the obferva- tions of two fucceflive days. I muft not pafs by this occafion, without taking notice of fome remarks, which Mr. Short paffes on my method of ex- amining the going of the clock, by obferving ftars fetting be- hind a hill, with the telefcope of the equal altitude inftrument ; (vide Mr. Short’s account of Mr. Mafon’s paper concerning the going of Mr. Ellicott’s clock at St. Helena. Phil. Tranf. Vol. LII. Part II. Page 540). Mr. Short reprefents Mr. Mafon, as faying in his paper, that I propofed making ufe of the equal altitude inftrument to determine the regularity of the motion of Mr. Ellicott’s clock, by obferving the vanifhing of the ftars out of the field of the telefcope, an expreffion not contained in Mr. Mafon’s paper, who is only fpeaking of our obferving ftars fetting behind a hill, at the diftance of a quarter of a mile, in the fame part of the field of the equal altitude inftrument. Had we proceeded in the method fuppofed in the remarks, no doubt the obfervations would have been liable to confiderable inac- curacy : but as we ufed the telefcope of the equal altitude in- ftrument, only to aflift the fight in obferving the ftars fetting behind the hill, we were liable to no other error than what might arife from the fmall alterations of the inftrument, ariftng from the changes of heat and cold, moifture and drinefs, feen from the diftance of the top of the hill, which will eafily be allowed to be quite infenfible. And, indeed, how otherwise could the obfervations, contained in Mr. Mafon’s paper, agree fo well to- gether as they do ? A circumftance alone fufficient to create a iufpicion of the obje&ion being ill grounded. The reafon of Mr. Mafon and myfelf always obferving the ftars to vanifti be- hind the hill, in the fame part of the field of the telefcope (that is, [381] is, very near its centre) was, in order to keep the object glafs at the fame height ; though this being lefs than an inch in diameter, and confequently fubtending lefs than 13" from the top of the hill, there could not have been a fecond of time dif- ference, whether the ftars had been obferved to vanifh behind the hill, either in the upper or lower part of the field of view. Mr. Short alfo remarks, that no inference can be formed with refpeft to the different forces of gravity, in different latitudes, from experiments made with clocks, becaufe the fame clock, fet up on different fides of the fame room, will be found to differ con fide rably from ltfelf. I readily allow that, if clocks are fixed up in a flight manner, or againft common wainfcots, the expe- riments made with them cannot be depended upon. Neverthe- lefs it does not appear, but that when they are fixed in a fiimei manner, they may be depended upon near enough to be of a coniiderable ufe in phyfical enquiries : which I have reafon to think from the many experiments I have tried with the Royal Society’s clock, made by Mr. John Shelton, which I propofe to give a particular account of at fome other opoitunity. Obfervations of the Sun’s fetting in the Sea.. At the Obfervatoty at the Alarum-Houfe, which, by careful menfuration, I found to be elevated 1983 feet above the. level of the fea. Therefore the height of the eye is 1988 feet. 1761 June 14 June 16 July 18 July 30 App1 Time H / // 5 39 5^ 5- 39- 1 : I 5 39 34 I. 5 42 8 5 44 21 : O ’s upper limb fet in the fea. O’s upper limb fet. A little cloudy. O ’s L. L. fet in the fea, certain to 2 or 3 S. O ’s U. L. fet in the fea, certain to k S. O’s U. L, fet in the lea. A little cloudy. The [ 3§2 ] The like Obfervations made in James’s-Valley, near the Sea-fide. 1761 Nov. 16 Dec. Dec. *7 { '5 App‘ Time H / „ 6 2 3 42 25 22 26 21 2 9 24 32 10 Dec. 16 { 6 6 6 6 6 6 6 O ’s L. L. fet O ’s centre fet G’s U.L. fet O *s L. L. fet O ’s U. L. fet } Height of eye above the fea 16 feet. Height of eye above the fea 1 5 feet. O ’s U. L. fet, thro’ a fmall apperture in a cloud. The height of eye above the fea 15 feet. 29 24 © ’s L. L. fet 1 Height of eye abo 30 524 © s centre fet > 5 - ■> 32 20 i O ’s U. L. fet J 32 ni •{ the fea 15 feet. # Auguft 5th Appc Time H / „ 5- 6. 7 f A ftar 6th magn. in Pifces, at centre of equal 1 altitude inftrument. 5. 6.32 Jupiter’s centre at the horizontal wire. 5 7 « Jupiter’s centre at the vertical wire. The telefcope remained fixed during thefe obfervations. Again. 17 3i 3° The ftar at the vertical wire. 17 31 46 The ftar at the horizontal wire. 17 32 11 Jupiter’s centre at the horizontal wire. 1 7 32 31 Jupiter’s centre at the vertical wire. Here alfo the telefcope remained fixed during the obfervations. 5 Auguft 19th. Found the little ftar, which is 14" N. of /? Scorpii, to precede it one fecornl of time, by my paralladic 2 wires [ 383 ] wires, with my watch, which makes four beats in a fecond of time. If any thing the difference was fomething more than a fecond of time : the little ftar may therefore be fuppofed to precede (3 Scorpii 17" in right afcenfion. By obfervations made with the 10 foot ledor on feveral nights, while /3 Scorpii and the little ftar were pafting the field of the telefcope, I found the little ftar to be exadtly 14" N. of (3 Scorpii in declination. For June 24 the difference was 12", 5. July 21, 13", 6. July 22, I4,/j7* July 23, 1 s", 3 : Au gulf 14, 12", 9. Auguft 17, 14", 8. . The bright ftar in the foot of the Centaur, marked a. in the catalogues, when viewed through a telefcope, becomes divided into two flats, one of which is about the fecond, and the othei about the fourth magnitude. They were both obferved by the Abbe de la Caille. I found their diftance, by the divided objed glafs micrometer fitted to the refleding telefcope, to be 15" or 16". But it. is, in a manner, impoffible to meafure the diftance of two ftars very accurately with this micrometer, for being fimilar lucid objeds, when they are brought very near each other, their light will be confounded together before they exadly coincide. The larger Magellanic cloud, viewed through a telefcope, ex- hibits a few ftars which then appear feparated to a confiaerable diftance from each other. Their being fo few in number, and fo thinly fcattered, is the reafon of this phaenomenon appearing fo very faint. The lefs Magellanic cloud, viewed through a telefcope, exhi- bits a very remarkable lucid nebula, with fome tolerable bright ftars furrounding it. The nebula appears nearly circular, about 3' in diameter. Tranfits Tranfits of ftars, with which the moon was compared, February 7, 1762, at St. Helena, taken upon the meridian, at the Royal Obfervatory, in the be- ginning ot the year 1763, for afcertaining the exa& difference of their right afcenfion. Vide page 363. January 16 1 Wire 2 Wire 3 Wire 4 Wire 5 Wire / // / // H / // / // / // a 52 52 8 53 3i 54 21 c 54 41 55 20 + 8 55 59 + 58 d 57 17 57 56 35 59 14 e 57 38 58 16-' 58 56 59 35 0 131 h 2 42:: 3 21 :: 9 4 1 : f 6 4 44 l 5 40 + 6 20 59 7 38 i 0 9 *3 39 : 7 19 5 '9 44 + 9 20 231 21 3 2r i4l I of Cancer *, of the Lion Note, the clock gets five feconds per day upon fidereal time. March c h i l m 7 52 39 8 53 18 53 57 9 1 19 1 58* 2 42 4 18 7 34 17 43- 18 22 Clock lofes one fecond and an half per day. 54 36 4 57 8 14 19 1 March 7 a c d e h l <1 5i 59 50 10 51 37 + 54 34t 55 33 \ 2 58 17 2 8 50 49 + 53 i7 55 13^ 56 14 9 1 >7t 3 37 17 41 51 29 53 56 + 55 52? 56 52 2 4 17 l8 21 56 31 57 3i 4 55 £ 1 9 0 March 8 a 8 51 27 c 5i 57 52 37 53 J5 d 53 54 54 32? 55 12 55 5i 56 29t e 54 54 55 33 56 12 56 5f 57 29l i 0 41 920 2 39 3 J8 l 4 15 + 4 53 7 16 21 17 0 *7 39* 18 19 18 57 \ 1 Wire [ 3^5 ] i Wire 2 Wire 3 Wire 4 Wire 5 Wire / // / // H / // / // / // March 9 a +9 28 50 7 8 50 45^ 5i 25 .V* c 5i 55 + 52 34 53 I3— d 53 524 54 31 55 10 55 49 56 27 e 54 52? 55 31 56 10 56 49 57 28 f 9 0 41 h 1 H + 1 55 : l 2 541 3 34 4 *3* 4 52 n 7 3° 0 16 10 54 : 1 1 34 •• 18 q 20— 16 59 17 38 18 17 + 56 March 12 a 8 5i 52 52 31 c 52 23 53 2 8 53 4i 54 20* d 54 59 55 38 56 i6i e 55 59 56 39 57 17 57 55 S 9 2 5 l 26 — 18 5 19 7 *7 9 6 18 45 19 24 March *3 a 50 33— 8 5i 12 5i 5i + 52 3° 5 c 52 22 53 0-*. 53 40 d 54 >9 54 57 + 55 36* 56 *5 1 e 55 I Q 57 56 .37* '7 15 + c 7 Marcn *5 c* 8 51 1 1 :>* 50 29 c 52 21 53 0 + 53 39 d 55 57 56 36 e 16 56 57 57 1 46 17 25 9 18 4 + 18 44 *9 22-f Cloc c lofes 4 fecond per day. April t a 8 50 54 5i 33 c 52 5 52 43 53 22 58 d 54 1 54 40 55 19 55 e 55 1 55 40 59 J9 56 58 g 48 i: 59 25 9 1 7 i 0 1 27 2 7 7 16 28 *7 74 9 1 7 47 18 26 *9 5* Clock lofes ^ fecond per day. N. B. By a mean of feveral tranfits of liars obferved about this time, as well as by the foregoing obfervations, it appears that the intervals of the four firft wires are ex- actly equal, and that the interval of the two laft wires is fmaller than the others by _*-th part, which anfwers to A-th of a fecond of time in the tranfits of the above liars. >aVoL. LIV, Ddd By [ 386 ] Bv feveral transits over the meridian, obferved at the Royal Obfervatory, at the latter end of the year 1762 and^ beginning of 1763, the firft or the preceding ftar of the three +’s of Aqua- rius (with all which I compared the moon, December 4, 1761, at St.' Helena) preceded the fecond or fubfequent one 2'.7'f,U of time in right afcenfion, and the third or laft 3'. 9", 70 and the fecond preceded the third i.V',59 all according to the time of a clock regulated to agree with the diurnal revolution of the ftars. LVIII. An Account of an extraordinary Difeafe among the Indians, in the Ifands of Nantucket and Marthu s Vineyard, in New England. In a Letter from Andrevv Oliver, Efq\ Secretary of his Mdjejly s Province of MafTachufett’s Bay, to Ifrael Mauduit, EJq\ F. R . S. Bofton, 26 Odt. 1764. SIR, Read Dec. 20, ^Considering your connexions, both >764* as a member of the Royal Society, and of the Society for propagating the gofpel among the Indians, I tranfmit you an account of an un- common ficknefs, which prevailed the lad year at the iilands of Nantucket and Marthas Vineyard, which lie about fix or feven leagues from each othei, and the latter about four or five leagues didant liom the Indian plantation at Mafhpee on the Continent, where it did not make its appearance at all. As I had my account from the Englifh minider, and from the phyfician at Nantucket, and from the focicty’s mii- fionary [ 387 ] fionary at the Vineyard, of each of whom I made the moft fcrupulous inquiry, you may depend on the truth of it. About the beginning of Auguft, 1763, when the licknefs began at Nantucket, the whole number of Indians belonging to that ifland was 358: of thefe, 258 had the diftemper betwixt that time and the 20th of February following, 36 only of whom re- covered : of the 100, who efcaped the diftemper, 34 were converfant with the lick, eight dwelt leparate, 18 were at fea, and 40 lived in Englifli families. The phylician informs me, that the blood and juices appeared to be highly putrid, and that the difeafe was attended with a violent inflammatory fever, which carried them oflf in about five days. The feafon was uncommonly moift and cold, and the diftemper be- gan originally among them ; but having once made its appearance feems to have been propagated by con- tagion ; although fome efcaped it, who were expofed to the infedtion. The diftemper made its appearance at Martha's Vineyard the beginning of December, 1763- It went through every family, into which it came, not one efcaping it : fifty-two Indians had it, 39 of whom died ; thofe, who recovered, were chiefly of the younger fort. The appearance of the diftemper was much the fame in both thefe iflands; it carried them off in each, in five or fix days. What is ftili more re- markable than even the great mortality of the di- ftemper is, that not one Englifli perfon had it in either of the iflands, although the Englifli greatly exceed in numbers 5 and that fome perlons in one D d d 2 family C 388 3 .. .. ..... family, who were of a mixt breed, half Dutch and half Indian, and one in another family, half Indian and half Negro, had the diftemper, and all recol- vered ; and that no perfon at all died of it, but fuch as were intirely of Indian blood. From hence it was called the Indian Sicknefs. There had been a great fcarcity of corn among the Indians the preceding winter : this, • together with the cold moift feafon, have been aftigned by fome as the caufes of the diftemper among them. Thefe circumftances, it is true, may have difpofed them to a morbid habit, but do not account for its peculiarity to the Indians : the Englifti breathed the fame air, and fuffered in fome meafure in the fcarcity, with the Indians ; they yet efcaped the ficknefs. I do not fee therefore, but that the Sudor Anglicus, which heretofore affedted the Englifti only, and this late Indian ficknefs, muft be clafted together among the Arcana of Providence. I am, » S I R, Your moft obedient Humble fervant, Andrew Oliver. LIX. IV [ 389 ] LIX. Agronomical Obfervations made at the JJland ^Barbados ; at Willoughby Fort ; N and at the Obfervatory on Conftitution Hill, both adjoinmg to Bridge Town. By Nevil Mafkelyne, A. M. Fellow of Tri- nity College, Cambridge, and F. R. S. [Read December 20, 1 76^4.] N. B. All the obfervations of the firft fatellite of Jupiter were made with a two foot refledfor made by Mr. Bird, having an aperture of 3 -rer inches in diameter, except where they are marked as made with my 18 inch refledtor made by Mr. Short, having an aperture of four inches and an. half in diameter. And the eclipfes of the other fatellites were all cbferved with the 18 inch telefcope, except a few marked as made with Mr. Bird’s two foot refledtor. The la- titude of Willoughby Fort is 13.0 5' N. and that of the Ob- fervatory 13.0 5/ 15" N. This agrees with the latitude I ob- ferved when our fhip came to anchor at our firft arrival in Carlifle Bay, which, carefully calculated, and reduced to St. Michael’s Church, gives 13.0 5/ 30" for its latitude. The Obfervatory is about 200 yards due eaft of the church, and Willoughby Fort is about 1 600 feet diftant from the lame,, bearing S. W, So that the Obfervatory is about 15" of lon- gitude, or 1" of time to the eaft of Willoughby Fort. The. latitudes of Willoughby Fort and the Obfervatory, fet down above, refult from altitudes of the fun taken with a bafon of quick-filver by the brafs Hadley’s fextant made by Mr. Bird, being calculated from them, and the apparent time known from equal altitudes of the fun taken with the ea^ual altitude inftrument.. At k- - 1763 Nov. G 13 ? 18 0 20 9 J7 7 7 47 f 7 4 l ^ 53 33 11 13 14 9 51 56 13 22 27 8 39 n 10 31 23 G 5 9 1 28 ? 10 | 7 4i 43 Emerf. of 3 Sat. of Jupiter. 3 Sat. arrived to its greateft brigbtnefs. 1mm. of (3 Virginis into D ’s dark limb. Emerf. of ditto from 2 ’s bright limb, certain to 10". The Virgin’s fpike precedes 2 ’s preceding limb in right afcenfion by parallactic wires. N. B. It was occulted this night in Europe. Imm. of <7 Leonis 4.5 magn. into 2 ’s dark limb. Imm. of x Leonis 4.5 magn. into 2 ’s dark limb. Emerf. of ditto from 2 ’s bright limb. Certain to 5". t Sagittarii 4 magn. precedes 2 ’s fubfequent 1 0 limb in right afcenfion by parallaCtic wires. J Antares follows 2 ’s preceding limb in right afcen- 1 3.0 fion by paralladtic wires. J 1 r Sagittarii 4. magn. prec. 2 ’s prec. limb in right 1 6 afcenfion by parallactic wires. J 7 8/ 46" 8/ 48" 32 0 33 9 *9 Occultation of v Scorpii 3 magn. by 2 ’s dark limb. {Occultation of % Capricorni 6 magn. by -2 ’s dark limb, but which was fo near to being full, that the ftar feemed to va- nifh in the illuminated arch terminating light and darknefs. Befides the above obfervations, I have taken a great many of the difference of right afcenfion between the 2 ’s enlightened limb and proper flars (which I have not yet re- duced) by means of parallaCtic wires in the focus of my 18 inch reflecting telefcope ; from which, after making the requifite calculations, I make no doubt of being able to deduce the moon’s horizontal parallax in that latitude, and thence, by proportion, the equato- rial parallax of the moon with great exaCtnefs, which has never been done yet in fo direct a manner. LX. Remarks C 393 ] J i LX. Farther Remarks upon M. PAbbe Bai> thelemy’s Memoir on the Phoenician Let- ters, containing his RefleSlions on certain Phoenician Monutnents, and the Alpha- bets refulting fro?n them. In a Let- ter to the Rev. Thomas Birch, D. D . Secretary to the Royal Society, from the Rev. John Svvinton, B. D. F. R. S. Member of the Academy degli Apatifti at Florence, and of the Etrufcan Academy of Cortona in Tufcany. Reverend Sir, Read Dec. 13, >r L’Abbe Barthelemy’s memoir 1/6 4‘ 1V1. on *he Phoenician letters has again, with very large additions, been juft (1) commu- nicated to the learned world. Some at leaft of thofe additions have been made, as there is exceeding good reafon to believe, if not very lately, feveral years af- ter the memoir itfelf was read. This, as M. l’Abbe is faid to be the ftrft antiquary in France, and muft undoubtedly have a great influence over the members of that illuftrious body which he has fo long adorned, cannot well fail of being confidered by many people as a confirmation of the fufpicion for fome time (1) Memoires cle Litterature , tires dcs Rcfi fires 13 c. Tom. XXX. p. 405-426. A Paris, 1764. Vol. LIV. E e e entertained [ 394 ] entertained in feveral parts of Europe, and hinted at by me in (2) a former paper. It will therefore enable us to -account for the late publication of a piece, whichfeems to have been cried up by M.l’ Abbe’s admirers as one (3) of the mod valuable literary pro- ductions of the prefent age. What degree of atten- tion to this performance from the lovers of antiquity is really due, I fhali not at prefent take upon me to decide. My fentiments of it, however, if not yet diffidently known, from the following fhort addi- tional remarks, fubmitted with the utmod deference to the fuperior judgment of the Royal Society, will very clearly appear. I j : M. l’Abbe dill alTerts, that NIV, tzora, or tzvra, in the fird line of the Maltefe-Phoenician infcription, [Tab. XXII.] denotes the city of Tyre. To which I fhall only beg leave to reply, that this aflertion is ut- terly repugnant to the tedimony of the Tyrian coins ; which condantly exhibit the word “IV, t$zor, or tzvr, as the name of that city. This is a faCt ex- prefly allowed by (4) M. l’Abbe himfelf, though he produces it in fupport of the notion here advanced]} with which it mud, even at fird fight, be conlidered as altogether incompatible. To the fird letter of the next word he dill like- wife attributes the power of He, (5) and confequently affirms that word to be TOH, hoc votvm, this vow. (2) Pbilofoph. Tranf. Vol. L. Par. II. p. 799. Lond. 1759. (3) Journ. des Spavans, Decembre 1760. p. 348. M. de Guign. De /’ Orig. des Chin . p. 60. A Paris, 176c* (4) Memoir . de Litter . t*?c, ubi fup, p. 409, (5} Ibid. p. 410, 413. But TbiloJ'.Tranf. Vol.U\r.TAB.XXE. /J-Stjq- t [ 395 ] Bat as the abfurdity of this notion was clearly demon- ftrated in my former remarks, to which no reply has yet been made, I (hall take no farther notice of it here. We are alfo told by this learned (6) author, that the firfl: word of the fecond line was either or with the Nun and Aleph fo clofely connected as to form a kind of monogram ; the fainted; traces of which are, however, fcarcely, if at all, to be feen. That the word cut originally in the ftone was my, fecervnt, in my former remarks (7), I have rendered fufficiently clear. And that the two elements Nun and Aleph fhould be fo confined as to occupy a fpace barely fufficient for one of them, will not be readily admitted by any perfon moderately acquainted with the manner of writing obferved in the later Phoenician inferiptions. But to wave all other confiderations relative to the point in view, that the verb here is expreffed in the third perfon plural, the laft word of the infeription, O3"0% benedicat iis, feems evidently to prove. ’Tis worthy obfer- vation, that M. l’Abbe reprefents Count Caylus's copy of the infeription as much fuperior in point of accuracy to Father Gori’s ; and yet, in determin- ing, or rather attempting to determine, the form of the laft letter of ray, he apparently prefers the latter to the former. For he adduces Father Gori’s copy in fupport, or rather confirmation, of the other. But fuch conduct as this, in M. 1’ Abbes fituation, is to me no great matter of furprize. It is plainly intended to ferve a favourite hypothefis, which cannot be eafily maintained. (6) Memoir, de Litter. &c. ubi fup. p, 410. (7) See above, p. 126,127. E e e 2 With [ 396 ] With regard to the proper name abda- sar, or abdasar vs, I can by no means believe it to be the fame with abdastartvs. That thofo « ■ - * * ■ ■ two words had not the fame origin, feems to me, at firft fight, felf-evident. This is likewile confirmed (8) by a writer of great erudition. But the ac- count I have (9) already given of the Phoenician name abdasar, lupported by the bed authorities, will, I flatter mylelf, fet this matter in the cleared light. (10) I formerly obferved, that aserimor, ase- rimar, or aserim-hammar, was probably com- pofed of aserim, or aserym, AIEPTMOS, the name of one of the kings of Tyre, according to Menander Epheflus, and TJ, mar, or rather non, hammar, ipse dominvs. But M. 1’Abbe, (n) in the piece before me, takes it to be perfectly equivalent to the word ASEPYMOS itfelf ; the Greeks feeming to him to have terminated in OS the Phoenician pro- per names ending in OP, as the other natives of Greece did feveral words uled by the Lacedaemonians of the fame termination. To which 1 fhall beg leave to re- ply, that the Greek dialed: of the Lacedaemonians was widely different from the Phoenician tongue ; and confequently that all arguments drawn from their fuppofed agreement, or affinity, mud be falla- cious and inconclulive. Nor will the compofition of the name “)0“aiDX, or norrcnDN, aserim- hammar, viz. "OTTO NS ASHERAH-MAR, LV- (8) Matth. Hiller. Onima/I. Sacr. p. 590. Tubjngoe, 1706, (9) See above, p. 127, 128. (10) See above, p.129. (nj Mem, de Litter . ubi Cup. p, 410, 41 1. CVS . [ 397 ] cvs do min vs, which he exhibits to our view, afford a proper degree of fatisfa&ion to any rational perfon ingaged in fuch philological inquiries. Farther, it is ob- vious to every fmatterer in the Greek language, that in the words eipumos, abaaitaptos, aseptmos:, BAAEAZAP02, BAAEZfIPOS, &C. HIROMVS, ABDAS- TARTVS, ASERYMVS, B ALE AZ AR VS, BADEZORVS, See. handed down to us by Jofephus ( 1 2), from Menan- der Ephefius, 0£ is no part of the Phoenician names, but only a Greek termination fuperadded to them. The word aserimar therefore, or aserimor, would have become, when adopted by a Greek, ASEPIMAPOS, or ASEPTMIIPOS, not ASEPTMOS, as M. l’Abbe has been pleafed to affert. So the Tyrian, or Phoenician, proper name OTH, hiram, or hirom, as it occurs in Scripture, (1 King. ix. 12.) is rendered by the Septuagint and Jofephus, after Menander Ephe- fius, ElPiiMOS, HiROMvs. But the moil driking in- dances, or rather thofe diredtly in point, are BAAEAZAPOS, BAAEZHPOI, or BALEAZAR, BaDE- zor, when dripped of their Greek termination; with which aserimar, or aserimor, does mod perfectly agree. This amounts to the dronged pre- fumption, that M. TAbbe s notion of the compobtion of that name is deditute of every fupport. Hence we may fairly conclude, that the account by me formerly given of the condiment parts of this word was dridtly agreeable to truth ; and confequently that the fourth element was Mem, and not He, as I then incon- tedably proved. (12) Menand. p. 1043. Ephef. apud Jofeph, Cant. /plan. Lib. I. With C 398 ] With refped to the four firft letters of the third line, “ they form a difficulty, fays (13) this celebrated “ writer, embaraffing enough. The two lad give li the word p, ben, filivs, son j but this word “ here ought to be read in the plural number. Was . tempt the defence of it, when he feems even to look upon it himfelf as altogether indefenfible ? The laft word but one of the infcription M. l’Abbe reprefents by the Hebrew characters oSpyOHD, taking the fecond letter for He. He has likewife given us a pretty good account of oSpyO, the latter part of it ; but has only juft mentioned the particle HD, formed of the two firft letters. And in this he has, perhaps, aCted prudently enough. For none of the fignifications of that particle, at leaft none that I can find, will accord with the fenfe of that part of the infcription in which it occurs ; whereas if we fuppofe the fecond element to be Mem^ as I am fully perfuaded it is, every difficulty will immediately va- nifh. This I have clearly demonftrated in my for- mer remarks. I muft beg leave farther to obferve, as pertinent to the prefent occafion, that as a variety of winds will give a variety of directions to a fhip’s motion, any navigation effected by different winds may be termed crooked, any voyage performed by their affiftance oblique. So that we cannot infer from either of M. l’Abbe’s tranflations of the word in queftion, that the two Tyrians mentioned in our infcription were thrown upon the iftand of Malta by a tempeft, as this learned author has been pleafed to aftert. The latter of thofe tranflations was owing, as he informs us, to “ the favour of certain fuppo- “ fitions, which, for brevity’s fake, he has l'up- “ prefied.” From what has been faid it appears, that the cha- racter denominated He by M. l’Abbe, and by me Mem , is an objeCt of fomc importance, with regard to the explication of this infcription. If it be taken for L 4-or ] for the former element, two or tiu^C the. monument are fo involved that they are Scarce, if at all, intelligible ; if for the latter, the fenfe runs throughout unembaraffed, confident, and clear. Nor does this character differ more from that allowed to (land for Mem , by M. l’Abbe, than do feveral of the acknowledged fomewhat different forms of Mem from one another. A draught of it, however, feems not to have been yet publilhed, by M. l’Abbe, that can be abfolutely depended upon. For in the copy he firff communicated to the learned world, represented by him as a tranfeript perfectly agreeing with the original, this character approaches a little nearer to his figure of Mem than it does in the firff plate of of the memoir before me, and confequently the latter feems a little more favourable to his hypothefis. Whether this minute alteration, which is too incon- fiderable to affedt the point in queftion, ought to be attributed to the inattention or incapacity of the en- graver, or to fome other caufe, I fhall not take upon me to decide. How that matter really ftands is beft known to M. l’Abbe. “ But the power of the letter He'\ fays M. l’Abbd, “ is fixed by other examples which I fhall foon “ produce.” Now that a charadter reprefenting He does not occur in the monument under confidera- tion, has already, I flatter myfelf, been rendered fufficiently clear; whether or no it is to be met with on any of the coins produced in the paper before me, by M. l’Abbe, comes therefore next to be-confidered here. Vol. LIV. Fff * \ . A4 IL E ] . * **■',' * > / 4 4 » * - ^ j * *• r • \ * . • ', ( | II. * My explications of the firft, fecond, and fixth me- dals in M. 1’ Abbe’s plate of coins may be feen in a fmall Latin diffiertation, put to the prefs at Oxford, in 1753. That of the lixth, however, which is a medal of Laodicea, muff be owned to be incom- plete ; the four laft letters of the infcription having been defaced on my coin, by the injuries of time. Nor am I intirely latisfied with M. FAbbe's inter- pretation of the latter part of this infcription, as it leems very forced and unnatural, and even con- trary to the faith of hiftory. Nay, it feems not perfectly to pleafe M. l’Abbe himfelf, as he has not abfolutely fettled the power of one of the letters of which it is compofed ; but contents himfelf with (15) obferving, “ that this flight difficulty will “ hereafter be removed by other monuments.” His interpretation of the infcription exhibited by the coin of Sidon, which he makes coeval with the reign of Antiochus IV. is likewife liable to exception, as will appear to every one moderately verled in this branch of literature, who examines it with proper attention. The other two pieces of Sidon prefent nothing very remarkable to our view. One of them has never- thelefs handed down to us the very character averted by me to reprefent Txade, but taken by M. l’Abbe Barthelemy for Thau , immediately preceding certain numeral characters, which have been fully explained in one of my former papers, on the reverfes of le- veral Sidonian coins. (1.5) Mem, de Litter, ubi.fup. p. 417. Now C 403 ] Now the letter He does not appear 011 any of thefe medals, and confequently nothing can be inferred from any of them in favour of the form of that ele- ment contended for by M. l’Abbe. On one of thofe coins, however, faid by this learned antiquary to have been (truck at Marathus, but which in reality ought not to be attributed to that city, now in my poffeffion, the very fame character occurs, with the power of Mem , that M. l’Abbe exhibits on two of the medals of Menas as occupying the place of He. My ex- plication of this coin, which I then took to belong to Marathus, was printed here, in 1753. But I af- terwards obferved, that the Phoenician infcription on this medal confided of four letters, arm the lad of which was Beth ; and that on all the (imilar medals, or draughts of them, which I had feen, four cha- racters likewife appeared, the fourth of which was either Beth or manifedly a part of that element, not Ajin or Ain, as M. l’Abbe, without any manner of foundation, feems to imagine. Hence I concluded, that thefe pieces could never have been druck at r-nD, MARATH, or marathus, and therefore fcrupled not a moment to explode my former opi- nion. To this I was farther excited by the nume- ral characters in the exergues of two of them, at prefent a part of my fmall collection of Phcenician coins ; which, if I am not greatly midaken, clearly point out the years of Rome 748 and 749. But about that time Marathus was either in ruins or in- tirely razed, and the territory appertaining to it occupied by the Aradians, according to Strabo (16). (16) Strab. Geograph. Lib. XVI. p. 753. Luteti# Paii- fiorum, 1620. I therefore Ff f 2 L 4^ 4* 1 I therefore cancelled that part of my fmall work in which the interpretation of the infcriptiorr, pre- ferved by one of theie Phoenician medals, was con- tained. The cancelled partis, however, drill in my hands. Of the Sicilian medals in M. l’Abbe’s plate four are to be attributed to one city, .and two to two others. Of the latter M. I’Abbe aliigns one to Imachara, and • the other to Carthage j with what truth, I ihali not take upon tne at prelent to decide. But that a per- lon fo juftly celebrated for his knowledge of antrent- medals, particularly Punic and Phoenician medals, as is M. l’Abbe, diould fird aferibe the former to I know not what Cadra Caecilia, or Cadra Julia, and after- wards to Panormus, now Palermo, is to me, I mud confefs, real matter of furprize. For the Punic name on thefe coins is evidently r"WTJ, mahhanoth, mehnoth, or, as Hheth is fometimes diveded of even the force of an afpirate (17), menoth; which apparently anfwers to the Greek MHNAI, and the Latin men^e, the name of a city in Sicily, called Meneo by Cluverius ( 1 8 ), feveral of whofe medals adorn the cabinets of the curious at this day. Nay, one of the Punic coins of Menae publidied by M. l’Abbe, though without any explication of the Punic infcrip- tion, an dconfequently without fufficient proof of the point in view, has been expredy attributed to Men®, or Meneo, by Goltzius (19). An accurate defcription of a medal of Menae, together with a complete in- terpretation of the Punic infcription it exhibits, may (17) Bochart. Phal. Lib, I. c. i. (18) Phil. Cluver. Sicil. Antiq. Lib. II. c. ix. p. 339. (19) Hubertus Goltzius, in Num. Sicil. Tab.XIL num. 5,6. be [ 4°5 ] be fe.cn in the Latin diflertation (20) above re- ferred to, which it would be fuperfluous to touch upon here. With regard to the Punic element taken for He by M. 1’Abbe, on two Siculo-Punic coins, he feems to give up in one part of his memoir the form of it fo warmly by him contended for in another. For he> exprefly allows, that this character on one of thei Siculo-Punic medals exhibiting it may reprefent Mem,' as well as He. From whence- we may infer, that the correfpondent letter on the other, as the word to' which this character belongs is on both medals the> fame, may likewife, with no fmail appearance of truth, be taken for Mem; and confequently that, ac- cording to M. 1’ Abbe, the letter He may be fuppofed never in reality to have exifted on either of thofe Siculo-Punic coins. ’Tis obfervable, that on one of the coins of Mense; in M. l’Abbe’s plate, the words n£HH m?, vrbs NovAr, feem to appear ; and that the firfl: element of this infcription, if the draught of it here may be de- pended upon, is the Koph of nearly the Chaldee form. I ' have, however, a Punic medal in my collection* (fee Tab. XXI.) with the old Phoenician Koppa on the reverfe, and the names of two Sicilian ci- ties, in Punic characters, never hitherto publilhed. A galeated head, with a fprig of laurel before it, on one fide, prefents itfelf to our view ; and the triquetra, or fymbol of Sicily, with a human face in the middle of it, appears on the reverfe, (20) Swint. De Num. qutbufd . Samaritan. & Phaemc. Dtffert. Oxon. 1753. attended 2 [ 4° 6 ] attended by the words magel, camic, the Punic names of two Sicilian towns. The latter of thefe was the camicvs (21) of Diodorus Siculus and Herodotus, and the former the macella, or magella, from whence the magellini of Pliny (22), of Dio (23) and Polybius (24). The letters of the infcription are drawn from the left hand to the right, contrary to the ufual Punic man- ner of writing. But fuch accidental miltakes of the moneyers as this are fometimes vifible on antient coins. This valuable medal, which formerly had a * place in Lord Winchelfea’s noble collection, corrects the famous Bochart, with refpeCt to the origin of the name camicvs ; and has prefervcd an unufual Punic form of Lamed , agreeingwith a Samaritan (25) one of the fame element, as well as a figure of Ghimel , that not feldom occurs on the Siculo-Punic coins. Some may, however, confider this medal as of Greek extraction ; the third letter fo nearly refembling Lambda , and the antient Sicilian Greeks, on certain occafions, having uled the Phoenician Koppa upon their coins, as appears from the medals of Syracufe. But as the Me?n is plainly Punic, or Phoenician, and both the Greek terminations wanting here, I can by no means prevail upon myfelf to fubferibe to fuch an opinion. (21) Died. Sic. Lib. IV. & XXIII. Herodot. Lib. VII. (22) Plin. Nat. Hiji. Lib. HI. c. viii. (23) Dio in Excerpt, apud Porphyrogennct. p. 637. (24) Polyb. Lib. I. p. 24. (25) Numifrn. Antiq. lAc. a Thom. Pemb. & Mont. Gomcr, .Com, Collett, P. ii. T. 85. num. 5. As [ 4° 7 ] As the Carthaginians therefore ufcd, on certain occafions, the old Phoenician Koppa , or one of the earlieft forms of Koph ; we may from thence con- clude, that the character (26) on a Punic coin by me long ago explained, fo fimilar to that form, muft undoubtedly be taken for the fame element, as I theii mod clearly evinced. Nor has either M. l’Abbe, or any other French writer, hitherto overthrown this notion 5 though it has been called in quedion, if not denied (2 7), by M. Peilerin. Nay, it has been, in a manner, adopted fo me months fince, in the Journal des Scava?is , (28) and even by M. l’Abbe himfelf, in the (29) celebrated memoir that is the objedt of my attention here. It has been juft oblerved, that the Lamed on the Sicilian coin lad defcnbed is of an unufual form. Give me leave to add, that another of my Punic medals druck in Sicily has preferved a form of that letter, fomewhat more dmilar to the correfpondent character in the alphabet deduced by M. 1’Abbe from feveral Siculo-Punic coins. This medal has on one fide the head of Jupiter, and on the reverfe two ears of corn, attended by the Punic infcription ALICA, or HALICAH, the AAIKTAI, Or HALICY2E, of (30) Diodorus Siculus, fituated between Entella and Lilybaeum, according to (31) Cellarius. . The (26) De Num. quibufd. Samaritan. Lf Phasnic. &c. DiJ/ert. \ p. 86, 87. Oxon. 1750. (27) Recueil de Mcdailles de Peuples & de $9$3 ^-dBelh ^ 7^.. — Beth "] /| 'j 'j 'J Ghimel J\ 'J 'J y ...Ghimel q Cj 7Jnleth ^ q T)alet7v He T£e Vau ^ ... Vau 1 Zain Zain ft A/ W ft $ I I W Het7i § ft Ted Ted sfy'mfd m rnre\rrr....jod Jod y y y> ^ ^ - dNizn, 4 .JViuv ~Z-[-- T>aniech Scnnerh O O & ...Ajin or Ain O U O Ajin orAirv JPe Fe f Y Tzade ^ .... Tzade ^....JKopTv V -Tofo/v C\ q C) C| I{edc7i C\ Cj. ..Teach Lu \Lj Yu Scfun or Sirt Sc7un 'fb-btt’tt' l1 Thau A f) ~fl - Thau — J.Myndtfc. Tbilof.TrajLf. Vol.ZUr TABJDUII. p 409. Sicuxo-Punic Coins . [ 409 ] the initial letter of gela, the name of a town of Sicily, with feveral of whole (34) coins the cabinets of the curious are adorned. Another of my Punic medals, druck in Sicily, prefents to our view the two elements AleJ)h and Beth. Thefe plainly point at the abac^na of (35) Ptolemy> an antient town of Sicily; many re- mains of which, according to Cluverius, were fome time fince to be feen. One of the Siculo-Punic coins in my fmall col- lection has handed down to us two alphabetic cha- racters, the powers of which are not yet, perhaps, fufficiently known. The fecond of them, however, from the great refemblance it bears to the form of that element in the Maltefe infcription, we may ven- ture to pronounce Tdzade ; and the fil'd, according to M. l’Abbe Barthelemy, occupies the place of Aleph. I am neverthelefs rather inclined to believe, that it ought to be taken for Koph. This fee-ms to appear from the draughts of feveral coins, publifhed by (36) writers of good authority, as well as from the concurring fentiments of thofe writers themfelves. If this notion ihould hereafter be adopted by the learned, the medal may be fuppofed t,o have been emitted from the mint at Catana, as Tzade fometimes in power anfwers to the Latin T ; but if M. l’Abbe’s opinion fihould be held more confonant to truth, (34) Proel* Parut. Sc Goltz. ubi fup. (35) Ptol. Geograph. Lib. III. c. 4. Phil. Cluver. Sid!. Ant. p. 386. (36) Veron. Illujlrat. Par. Terz. cap. fett. p. 258, 259. In Verona, 1732. Ridolfin. Venut. in Saggi di DiJJ'ertaz. decade- tnich. pubblicamente lette nella Nvbii. Aceadem. Etrufc. dell' antichijji - ma Citta di Cortona, p. 35. In Roma, 1735. Parut. Lalta- no L Sec. Vox.. LIV. G g g from C 410 ] from that at AiTorus, the fame element being like- wife not feldom equivalent to the Latin S. On ano- ther of my Siculo-Punic medals, that letter fome- what refembles the Kappa of the Greeks. Ad- mitting^ the fecond element to be Tzade, as I am fully convinced it is, both assorvs and catana may, with (37) great propriety, be confidered as Punic proper names. For the farther illuftration of what has been here advanced, it may not be improper to exhibit draughts of the Sicilian medals juft delcribed, as well as of feveral others, now in my pofteffion, adorned with Punic characters. From thefe (Tab. XXIII.), at firft light, will be deducible a Siculo-Punic alphabet [Tab. XXIV.] j which, though incomplete, may, perhaps, not prove unacceptable to the learned. Before I conclude my remarks on the Siculo-Punic coins, publifhed by M. l’Abbe, l muft beg leave to repeat, that only two of them, which were ftruck at Menae,. are produced, in order to evince the reality of his form of He and that he has himfelf allovved this character, on one of thofe medals, (which conceffion will likewife extend to that on the other, as has been already obferved) to be as pro- perly expreffive of Mem as of He. I fay, his form of He ; becaufe I cannot help taking the character he denominates He for Mem , as it fo nearly refembles the common and ufual form of that element, and as the fenfe it communicates even here, fuppofing it Mem, is fo perfectly confonant to the tenor of fuch infcriptions. This will be readily admitted by every (37) Val. Schind. Lex, Pentaglot. p. 113, u4 ,641. Hanoviae, 1612. one [ AH ] one not totally unacquainted with the medallic fciencc, and not an intire ftranger to the firft principles of oriental literature. For rUHO DjpO, ex popvlo MENENIO, A POPVLO MENEN10, POPVLO MENENIO, (fcil. cvsvs, vet percvssvs, nvmmvs) is certainly altogether as proper as P13no oyn, ipse popvlvs MENENIVS, (Icil. CVDIT, Vel PERCV.SSIT, NVMMVM) if not really much more fo. That s. c. i. e. sena- TVS CONSVLTO, D. D. i. e. DECRETO DECVRIONVM, EX D. D. i. e. EX DECRETO DECVRIONVM, &C. llOt feldom occur on antient coins, is a point too well known, (38) even to fmatterers in antiquity, to be difputed amongfl: the learned. III. As my Latin diflertation upon the fecond Citiean infcription, of which I have already given a Latin tranflation, inferted in the Marmora (39) Oxoni- £nsia, is almoft ready for the prefs; I might eafily excufe myfelf, at prefent, from taking any notice of M. l’Abbe’s pretended explication of that infer ip-, tion. But as this, in conjunction with his attempt to interpret the fourth, is undoubtedly by far the moft exceptionable (40) part of his whole per- formance, fince he feems totally to have miftaken the fenfe of both inferiptions j I (hall beg leave to (38) Lud. Debiel, e Soc. Jef. in Utilit. Rei Nutnar . Veter. p. 99, 100, 1 1 2, &c. Viennae Auftri®, 1733. (39) Marmor. Oxen. Par. Secund. Tab. III. p. 7. Oxonii, *76 3- (40) Memoir, dt Litter, ubi lup. p. 421, 422, 423. G g g 2 fubmit [ 412 ] fubmit to the conftderation of the Royal Society the following fhort ftridtures upon it, referving to myfelf the liberty of being more explicit and parti- cular on this head in my future diflertation. 1. With regard to the fecond Citiean infcription, the third letter of the firft word is not Mem, but Capb i as moft: evidently appears from the autograph itfelf, now in the pofteffion of the Univerftty of Oxford. Farther, that DJtf. ought to be rendered dormiam, dorm i o, or jaceo, as M. l’Abbe af- ferts, had that been the firft: word of the infcription, as mod; certainly it is not, we fhall fcarce be. able to learn from any lexicographer. 2. The fixth word of the firft: line is Hhur , Chur , or Hur, not Chad , as M. l’Abbe feems to imagine ; the laft letter of that word being manifeftly Rejch , and fufficiently diftinguifhed by its length from Dalethy which occurs twice in the beginning of this line. 3. The term cannot bear a relation to any particular city, town, or country, as our learned an- tiquary is pleafed to fuppofe j becaufe this would imply, that the fepulchral infcription had only a fingle perfon for its objed. But this notion is intirely over- thrown by the word in the fecond line, and 7VJ, in the third ; both of which are evidently plu- rals in conftru&ion, and confequently cannot refer to lefs than two particular perfons. Befides, as the moft antient infcriptions were probably the fhorteft: and moft: limple, the age of the monument itlelf feems to announce a duality of perfons at leaft to have been pointed at by the infcription. I can [ 4i3 ] 4. I can at prefent fee no reafon why M. 1 Abbe fhould fuppofe this infeription to run in the firft per- fon, rather than the third. Perhaps he will th^ the Maltefe infeription, as by him explained, affords us a remarkable inftance of fuch an uncommon mode, of expreflion. But this, I humbly, conceive, is no reafon at all; becaufe in one particular infeription fome peculiarities may appear, as is often the cate, that in others do not occur. Befides, the p oft u ate he begs, or rather affumes, will, I am perfuaded, not be fo readily granted him by the learned. r M. l’Abbe has added a fiditious Schin to the beginning of the fecond line, not the famteft traces, of which are difcernible- on the ftone. Nay, that Schin could never have been there, is. felf-evident, at firft fight, from the very face of the mlcriptiom 6. The word obltt, pax, formed, according to M. l’Abbe, of the fiiditious Schin and the. two hilt letters of the fecond line, was molt certainly never a part of this infeription. 7 He fuppofes an hiatus in the fecond line, and another in the third ; whereas not a Angle letter is wanting in the infeription, nor any of the words lo effaced as to be rendered illegible, by the injuries of 8. For the words mfi> DU, «n. 3C&. which clearly prefent themfelves to our view in the infeription, he has taken th berty to infert mm WN% Z±?V, without the leaft ftaadow of a reaioi for fud/ Jr arbitrary infertion; feveral of his le ters being purely imaginary, and not the famteft. tra them having ever exifted on the ftone. T^c [ 4*4 ] 9* The name tam, or, as he corruptly writes it, tham, is taken by him for only part of a word j whereas it is a perfect and complete proper name, as moft clearly appears from the face of the infcrip- tion, and from lome antient writers of good autho- rity, who will hereafter be referred to in thefe remarks. io. He has not tranllated the words mn> 03, tidjs‘7, ’no, ; i&s, cbyhy >nra ddo, oSy, though they form lb confiderable a part of this monument ; and though a tranllation of them is fo eflentially ne- • ceflary, in order to arrive at a true interpretation of the infcription. In confirmation of what has been here advanced, I [hall beg leave to fubjoin a fhort and concife ex- plication of this infcription; which, I flatter myfelf, will not be found very remote from truth, as it is confonant to the faith of hiflory, and fupported by two or three Greek authors of very confiderable note amongft the learned. It may, however, be previoufly requifite to ob- ferve, that the plate hereunto annexed [Tab. XXV.] exhibits the nioft perfect reprefentation of this mo- nument, both with regard to the magnitude of the ftone, and the forms and fize of the letters, that can poflibly be communicated to the learned world. As the copy therefore now prefented to the public is the' relult of a frefh and molt careful examination of the autograph itfelf, and by me, fince the publication of the Marmora Oxoniensia, immediately deduced fiom it ; this may be confidercd as the mod accurate tranfeript of our Citiean infcription, in all refpeds, that has hitherto appeared. 2 i. The The- OxforcL-Citiean Inscription . Fbilof. Trcmf. Vol.LRr.TAB.XXV.p.414. X % \ % \..Ahph- 9 , lem£, or lemeb, is probably another Phoenician proper name. That it was ufed as a proper name in Syria, from Jofephus is (48) abundantly clear. It occurs alfo as the pro- per name of a man in Feftus. The fubflantive p, ben, filivs, does not follow 1?±>, lemb, with the father s name, according to the manner of writing not infrequently feen in the Phoenician infcriptions. But other indances of fuch an omiffion (49) as this have been obferved, on feveral of the antieat ftones found in the ruins of Citium. 8. The verb next prefents itfelf to our view, and ought to be rendered vixit, according to the Hebrew lexicographers. A fuppreffion of the rela- tive pronoun *")2W, qvi, is obfervable here. But fuch ellipfes as this were antiently not uncommon, according to Noldius (50). 9. The following character, though in a manner the fame with the Citiean form of Jod , is likewife fomewhat fimilar to the Palmyrene numeral cha- racter reprefenting twenty, (51) and not diili- (.48) Jofeph. dntiquit. 'Judaic.. Lib. XIII. c. 15. p. 599. Ed. Hudfon. Oxon. 1720. Sex. Pomp. Fell. Lib. XVI. p. 455. Amftelodami, 1699. (49) Infcript. Cit. 17, 21, 23, &c. (50) Chriftian. Mold. Concordant. Particular. Ebrao-Cbald. p. 102. Jenfe, 1734. (51) Pbilokph. Tranf Vol. XLVIII. Tab, XXIV. Infcript. III. Vol. LIV. Hhh milar [ 4*8 ] milar to one of the equipollent characters ufed (52) at Sidon. As the word vixit, therefore ma- nifedly requires a numeral, I have taken the liberty to tranflate this twenty. The learned world may expedt a farther account of this numeral in my fu- ture didertation. 10. The next character diffidently refembles (53) the Palmyrene form of Schiti, on a Parthian coin by me formerly explained, as well as in the Palmyrene alphabet. It may therefore pafs for that element, though it is fomewhat longer; efpecially, as the Syrians were neighbours to the Phoenicians, and the letter Schin here begins a word fo confonant to the tenor of this part of the infcription. That word is apparently njW, which comes very appofitely after anew »n» vixit viginti, or rather q^vi vixit viginti. As it appears here in contraction, it is a lingular ; but mull neverthelefs be trandated annos, the genius of the Phoenician language in this re- fpedt being probably the fame with that of the Hebrew. The Aleph is to be confidered as a mater lefiionis, in the term before me ; the letters Aleph , Vau, Jod, (54) not infrequently occupying the places of vowels amongd the earlier Hebrews, and confe- quently, as there is great reafon to believe, amongd the Phoenicians alfo. But of this more hereafter. 1 1 . The Phoenician fubdantive chy, as in He- brew, is undoubtedly equivalent to secvj.vm, zeter- NITAS, DVRATIO HOMINIBVS ABSCONDITA, &TC. (52) Philofoph. Tranf. Vol. L. Tab. XXXIT. p. 805. (53) Philofoph. Tranf. Vol. XLIX. Tab. XVIII. p. 593. (54) Campeg. Vitring. Obftrvat. Sacr. p. 186. It C 419 ] It frequently occurs, both in a limited and unlimited fenfe, in the Old Teftament; and accommodates itfelf, according to (55) Guffetius, to the nature of the fubjeft to which it is applied. Which if we ad- mit, when applied to men, it mull denote the term or period of human life. And in this fignificatien it (56) fometimes may be met with in holy writ, as it manifestly is in our infcription. The Vau here, in conformity to the Phoenician cuftom, is fuppreffed. But for a farther account of this word, recourfe may be had to the learned Sontagius, in (57) his dilfer- tation upon the terms chty and QV, printed at Aitorf, in 1695. 1 2. The Hebrew noun D1JOD, from whence ODJOD- and is deduced from the (58) verb sjo, dolvit. By the extrulion of the two quiefcent let- ters, Jlleph and V au> the fubftantive becomes (the fame in pronunciation with DlfOD) as it appears in our infcription. Nor is it to be wondered at, that, before the invention of the vowel-points, the qui- efcent letters fhould have fometimes been fupprefled, as they had in reality no power at all. Inftances of fuch a fyncope, or extrufion, as that here obferved, are not feldom found in the facred writings of the Old Teftament. And that this was really the cafe with regard to the word 3DQ, the Chaldee term .(55) Jacob. Gullet. Comment . Ling. Ebraic . p. 1160, 1161. Lipfiae, 1743. (56) Psal. LXXXIX. 1. CXIX. 44. h alib. (57) Chriftoph. Sontag. in Divert, de D^W periodica & DP ■zterno, Altorfii, 1695. (58) Leonhard. Reckenberg. ubi fup, p. y^, H h h 2 *03, C 420 ] N33, (59) agreeing perfectly in fignification with it, feems inconteftably to prove. From what has been advanced we may conclude, that the Phoenician words DUD oty, on our ftone* are equivalent to secvli, or vit^r, dolor is, i. e’. vital infelicifer acta-;, as I have taken the li-. berty to render them here. 13. The next word is ’Jinj, descendentes, or rather descendvnt, the verb svnt being fuppreffed, as amongft the Hebrews it frequently happened to be. The radix of this participle is rim, d,escen-, dit, a verb well enough known to the Hebrews, but fiequently ufed by the Chaldees; who generally( applied to it the fignification of the verb *n% as it prevailed amongft the Hebrews, according to (60). Buxtorf. It muft be remarked, that tt'l2,C2byb ought to be deemed the fame expreftion as the word cbyb having had different po-. fitions antiently afhgned (61) it in a fentence byf the Hebrews, and therefore undoubtedly by the' Phoenicians. In the Chaldee feveral paftages fimilar, to this part of our infcription are to be found. So *^»n> SICVT DESCENDENTES IN F0-. veam fepulchri, occurs, in Prov. i. 12. '11112, DESCENDENTES AD MARE, in IsAI. xlii. IO. And in Psal. cxliii. 7. we meet with NfiTQp no.DIX Wtt Op, CVM DESCENDENTIBVS IN FOVEAM SEFVL- (59) Johan. Buxtorf. F. Lex. Chald. Talm. & Rabbin . p. 1 00 1. Bafileae, 1639. (60) Johan. Buxtorf. F. Lex. Cbald. Talm. & Rabbin. P< I33°- (61) F. Mar. de Calafi. Concordant. Sacror. Biblior. Htlraiior. m voc. P* 592-602. Lond. 1747. I CHR7; [ 421 ] CHRii which Teems to be a phrafe of the very fame import in Chaldee that the kSd Wti, dbscen- dentes funt, or rather descendvnt, in carce- rem, of our infcription is in Phoenician. The par- ticiple being in conlfrudtion here, may, how- ever, be confidered either as a Chaldee, Hebrew, or Phoenician word. As for the terms EZ&yS* in jETERNVM carcerem, they are To obvious and clear that they, require no farther difcufiion in this place. 14. . The two following words, fyjxS ’DD, with the three preceding, form the third fentence, or part of the infcription. The drft of them, deduced from mo, mori, emori, and in con- ftrudlion, is a participle converted into a noun, and may be tranflated mortvi, or rather occisi, here. In this latter fenfe it occurs, in Isai. xxii. 2 s •It may alfo be rendered homines, or viri insignes, according to Cocceius. But the former Teems to be the mod; obvious and natural fignification. The fe- cond of thefe words, rV2tib, is undoubtedly the name of Amathus, a celebrated city of Cyprus, that was governed by it’s own princes for a confiderable pe- riod of time. The particle ^ points out the genitive cafe in our infcription,. as it does in the proper names py1?, LETZIDON, Tjb, LETZOR, Or LETZVR, OU‘ the Tyrian and Sidonian coins. The fame thing may fometimes be . laid of this particle, when the word immediately preceding it is in condxudtion, (62) as we find manifeftly to be the cafe here; From the infcription before me it appears, that the Phoenician name., of Amathus was amatii, (62) Vid. Reckfiibcrg. ubi fup. p. 82S, not [ 422 ] not non, hamath, or chamath, as it has been written by Bochart (63). 151 The next word, C3, apparently to be de- duced from the obfolete verb 03, altvm est, elevatvm est, &c. in the infinitive mood CD, from whence nO0, excelsvm, may with fufficient propriety be interpreted monvmentvm sepvlchra- le j as f— Id, a word of the fame origin, has actu- ally been interpreted by (64) Schindler and Clodius. Farther, C3 may be confidered as no other term than the Syriac CD, svggestvm, tribvnal (65), tvmvlvs, 6cc. the excifion of *Jod being common, as in py, for p% and CTO, for OW*', amongft the Phoenicians. Nor is the fignification afligned DD here more confonant to the true import of the radix, from whence it is derived, than to the tenor of that part of the infcription to which it belongs. 16. 1 hat the Phoenicians wrote the Plebrew word J"TVD, strvctvra, or rather strvctvra ordi- nata, mn, and in conftruCtion mfi, cannot well be denied ; fince m’D was no other (66) term than pipi, or “lft, and it was common with the Phoenicians to expunge Jod> as has been juft ob- feived. 1 he verb fubftantive, in conformity to the Hebrew and Phoenician cuftom, has been apparently fuppreffed here. (63) Sam, Bochart. Chan. Lib. I. c. 3. (64) Val. Schind. Lex Pentaglot. p. 171. Hanovia?, 1612. Jo. Chrift. Clod. Lex. Hebraic. Sele£i. p. 72. Lipfiae, 1744. (65) Johan. Buxtorf. Lex. Chaldaic. & Syriac, p. <54 Ba- fileae, 1622. (66) Reckenberg. ubi fup. p. 598, 1563. 17. For r 423 t 17. For ITS the Carthaginians wrote j-ft, with- out yod, as we learn from the Punic infcription ex- plained in (67) a former paper. And that the Phoe- nicians wrote this word in the fame manner, confi- dering their frequent omiffion of Jod, I fee not the lead reafon to doubt. The Ethiopians in this term mod: certainly never made ufe of that element. In our infcription it is to be therefore confidered as equi- valent to DOM VS, GENS, FAMILIA, &C. in which fignification it not feldom occurs j fometimes being applied to a whole family, and at other times to a part of a family only, in the (68) facred writings of the Old Tedament. The three lad; words of the infcription, -]StTDy p DNTl, tami filii abdeme- leci, are fo intirely clear of all difficulties, and fo obvious to every one in the lead acquainted with an- tient hidory, and oriental literature, that it would be fuperduous to expatiate upon them here. It may, however, not be improper to remark, that the ufe of the proper name abd’almalec, the fame with abdemelec, was retained by the Arabs long after the fird appearance of our infcription. For the Khalif Abd’almalec, who fucceeded Merwan I. above half a century after the death of Mohammed, departed this life (69) in the year of the Hejra 86, or of Christ 705. Nay, ’tis more than probable, that the fame name prevails amongd the Arabs even at this day. (67) Pbilof. Tranf Vol. LIII. p.,275, 276. (68) Reckenberg. ubi fup. p. 130. (69) A1 Makin, Greg. Abu’l Faraj, Eutycb. Ifm. Abu’lfed. Etm A1 Athir, aliicjue fcriptor. Arab. x8. If [ 424 ] 1 8. If what has been here advanced ftiould meet with the approbation of the Royal Society, the fol- lowing Latin and Englifti verfions of this infcrip- tion, which has fo well efcaped the injuries of time, may not prove unacceptable to the learned. Tmyn— -in p DDDnny p notnny N'7D tz)hy^ ♦nro— nna cn^y ntw. n *»n no1? -pinny p cwn nn mn Dn-nn^ to Marmor Abdasari filii Abdesasimi filii Hhvri — Lapis sepvlchralis Lembi (vel Le- MEBl) qvi VIXIT VICENOS ANNOS SECVLI DO- LORIS (l. e. AiTATIS five VITiE INFELICITER ACT A:) DESCENDVNT INAiTERNVM IN CARCE- R e M lepulchri mortvi hi Amathvntis (leu potius occisi hi Amathvsii) — Monvmentvm strvctvra eft domvs (vel familia*) Tam.i FILII AbdEMELECI. ' The marble (or marble tomb-stone) of Abdasar the son of Abdesasim the son OF Hhur (or Hur)— The sepulchral stone 0i' Lemb ^or Lemeb) who lived twenty fears in trouble and sorrow — Thefe Amathusians who were slain are gone or ever jo i he prison of the grave The monument was erected by the house of i am vs (or Tam) the son of Abdemelec. Hence it feems to appear, that the names of two Amathulians, probably of the firft dirtindtion, one of whom was unfortunate enough, have been handed down t 42s 3 down to us, and perhaps to all fucceeding ages, fcy this fepulchral infcription. 19. It mud: be farther obferved, that this curious monument conlifts of four Ihort periods ; every one of which may, in fome refpedt, be taken for a com- plete infcription. But this is a property it has in common with other fimilar remains of antiquity. Thus the Sigean infcription (70) is compofed of four fuch periods, and three are exhibited by the Punic (71) infcription that in a former paper I have attempted to explain. 20. I have hinted above, that the infcription be- fore me is come down to us perfect and incorrupt ; not fo much as one of its letters having been either loft, or greatly damaged, by the injuries of time. To which I fhall now beg leave to add, that the words formed of thefe letters are, for the moft part, diftinguifhed from one another by points, placed be- tween them ; which muft, in a good meafure at leaft, afcertain the ledtion here, and of courfe greatly fa- cilitate the explication. The Etrufcans fometimes fe- parated their words from one another by two points, and fometimes by a Angle one only, as we learn from the Etrufcan infcriptions on the celebrated tables of Gubbio, and others published by Sig. Gori, in (72) the learned work referred to, which may be considered as a noble repofitory of all kinds of Etrufcan antiquities. The earlier Greeks alfo ufed the firft kind of interp unction, as we learn from the (70) Chilli. Antiqultat. AJiat. p. 30, 31. Lond. 1728. (71) Philo f Tran/. Vol. LIII. p. 279. (72I Anton. Francifc. Gor. Muj \ Etrufc. Vol. I. II. palT. Florentine, 1737. & Vol. III. paff. Florentine, 1743. Vol. UV. lii ‘Si gean. [ 426 ] Sigean, (73) Teian, and other antient infcriptions.. That they likewife applied three points for the repa- ration of their words, on (74) lome occafions, tho’ more rarely, as well as the Etrufcans, is not unknown, to thofe who have been converfant with the antiqui- ties of thele nations. I muft farther obferve, that this minute kind of mark, though generally termed a point, was originally of a triangular form; as may be inferred both from our Citiean infeription, in which fome of the minute black triangles plainly, appear, and one at lead: of thofe preferved by the tables of Gubbio (75), of . which fo accurate a tranfeript has been communicated by Sig. Gon to. the learned world. That thefe points are a. certain indication of a pretty remote antiquity, is by the mod competent judges of luch matters (76) readily al-. lowed. How far therefore this interpun&ion and. antient hiftory may confpire, in order to fettle the age of the monument under confideration here, I an\ next to inquire. Abdemon, the Citiean, one of the Periian (77) monarch’s friends, having been expelled Salamine. by Euagoras, that prince meditated the reduction of (73) Chilli. Antiquitat. Afial. p. 6, 14, 97, 98. Paul. M. Paciaud. Monument. Peloponnef. 207, 2C9— 21 3, 2 1 8. Rom** 1761. (74) Muf Veronenf. p. 407. Veronas, Gor. Muf.Etrufc . Vol. ill. P. IIP 1749. Anton. Francifc. T. XVL Florentine, (75) Anton. Francifc. Gpr. Muf, Etrufc. Vol. I. Prolegorn, p. 55. Florentiae, 1737. (76) Vid, Chifli. Antiquitat. Ajiat. p. 3,^ 6, 14, 97. (77) Theopompus in Excerptis Photii, Cod. CLXXVI. lufcript. Cit. p. 24—28. Oxon. 1750. Diod. Sic. Bibl. Hi/1. Lib. XVL p. 447. Ifocrat. Evag. p. 282. C 427 ] the whole iiland of Cyprus ; in which, within the courfe of a few years, he made a very confiderable progrefs. This alarming the Amathufians, Citieans, and Solians, governed then, as it diould feem, by their own princes, they (78) made the proper difpofitions for oppofing his ambitious defigns. But not believing themfelves able alone to cope with him, they applied to the Perfian (79) court for adidance. Artaxerxes Mnemon, who then fat upon the Perfian throne, was alfo himfelf become jealous of the grow- ing power of Euagoras, and therefore readily entered into an alliance with the three confederated cities againft him. To this he was farther excited by the murder of Agyris, king of Amathus, and one of his mod: faithful allies, of which Euagoras (80) was accufed ; and by the engagement the three Cyprian dates had entered into, to put the whole iiland, if poihble, into his hands. In order therefore to cruih Euagoras at once, Artaxerxes fent an army of 300,000 men, under the command of Orontes, one of his fons-in-law, to invade Cyprus (81), in the third year of the ninety-eighth Olympiad, or the year before Chrid 386. This formidable army was attended by a deet of above 300 (82) fail, of which Gaus, the (78) Diod. Sic. ubi Tup. p. 447. (79) Id. ibid. (80) Id. ibid. (81) Diod. Sic. ubi fup. Lib. XV. p. 458. (82) Id. ibid. The Phoenician. name tam feems to have been written by the Greeks TAMOS, as it is exhibited by a MS. of Thucydides, in the French king’s library; and not TAMOS, as we find it written in other manufcripts of that author. This is rendered not a little probable, at leaf in my opinion, by the Oxford-Citiean infcription. Vid. Thucydid. Ds Bell. Pelopcnnef. Lib. VIII. c. 87. p. 557. Edit. Dukcr. AmRelaedami, 1731. I i i 7. fon [ 428 ] fon of Tamus, or, as the Phoenicians wrote and pronounced the word, Tam, probably the tam of our infcription, was (83) admiral. This Tamus is faid to have been born at Memphis, and confe- quenetly by birth to have been an Egyptian, though he was probably of Phoenician extraction. Being a perfon of great valour, and uncommon fkill in ma- ritime affairs, he flrft lerved Tiffaphernes as a naval officer ; but was afterwards imployed by Cyrus, who rebelled again ft his brother Artaxerxes, and was killed in the battle (84) of Cunaxa, as chief com- mander of his fleet. He alfo had been appointed governor of onia by that prince. Tamus was trea- cheroully cut off, with all his family, except his fon Gaus, now the Perfian admiral, who ftaid behind in Afia, by Plammitichus, king of Egypt (83), about fourteen years before. Euagoras’s fleet of 200 fail was defeated near Citium (86) by Gaus, the fon of Tamus, or Tam, with the lols of moft of his fhips; though Euagoras had, before this naval en- gagement, gained a (87) confiderable advantage over a part of the combined army of Perfians, Amathu- flans, Citieans, and Solians, almoft immediately af- ter the defcent bad been made. From this fhort narrative, extracted from writers of the heft repu- tation and authority, are naturally deducible the fol- lowing obfervations. (83) Id. ibid. (84) Xenoph. De Cyr. Expedit. p. 89. Oxon. I 735. Plutarch, in Artxtxcrx. p. 1014, 1015. Lutetise Parifiorum, 1624. (85) Diod. Sic. Bibl. Hiji. Lib. XIV. p. 415. (8b) Diod. Sic. Bibl. Hiji. Lib. XV. j\ 4 qo, 460. (87) Idem ibid. j . Tamus r r- A Ttitof Ti'UJif Vol. LIV Tab. XXJI p 42 g Three of the C^mOhfcnptiojis Mu/lrated here . p . 429, 432^c nj y ^7^3 7 N” 4//>y/ Ny, zyy t^T/! [ 429 ] 1. Tamus,. or Tam, probably the tam of our infcription, admiral of a Perfian fleet, and governor of Ionia, was cut off by Pfammitichus, king of Egypt, together with his whole family, except his fon Gaus, about fourteen years before the commence- ment of the Cyprian war. 2. Gaus, the fon of Tamus, or Tam, admiral to Cyrus, who was killed on the plains of Cunaxa, actu- ally commanded the Perfian fleet, and defeated that of* Euagoras, near Citium, in the beginning of that war. 3. Part of the combined army of Perfians, Ama- thufians, Citieans, and Solians, was routed by Eua- goras, a little before the naval engagement. 4. From what has been (88) intimated by Dio- dorus Siculus we may infer, that this aCtion cer- tainly happened at no great diftance from Citium * as the battle by fea was fought near that place, and as the fleet and army muft have aCted in concert,, both at the debarkation of the troops, and for fome time after that event. 5. It muft therefore be allowed probable, that the two Amathufians mentioned in our inlcription, who feem to have been perfons of diftinCtion, were killed either in the aforefaid aftion, in the naval engage- ment that immediately followed, or in fome other, affair that happened much about the fame time. 6. The monument recorded by our infcription was probably ereCfed by lome of Gaus s family, who might call themfeives the houfe of Tamus, his fa- ther, feveral inftances of fuch an appellation occurring (88j Diod. Sic. ubi fup. p. 459, 460. * in [ 4-3° ] in antient hiftory. This might have happened after Gaiis’s death, which was about two years poftericrr to the commencement of the Cyprian expedition. The ere&ion of it certainly ought not to be attri- buted to Tamus’s daughter, as fome may perhaps pretend ; all that admiral’s family, except Gaus, having been cut off with him, (89) by Pfammiti- chus, king of Egypt, fourteen years before. 7. From the preceding narrative we may infer, that antient hiflory, particularly that of Diodorus Siculus, from whence it is chiefly extracted, and our infcription mutually ftrengthen and fupport each other. 8. Hence it feems pretty clearly to appear, that the death of Abdafar and Lemb, or Lemeb, the event commemorated by our infcription, preceded the commencement of the Chriftian aera 386 years; and confequently that this infcription is coeval with thole, found likewife in the ruins of Citium, by me lome years fince explained. Many things relative to this infcription, for want of room, I am obliged at prefent to fuperfede; but thefe, as well as leveral other points flightly touched upon here, may perhaps meet with a more particular difculfion, in another piece upon the fame fubjedt ; which, if God grants me life and health, will foon be communicated to the learned world. As the autograph of the fourth infcription [Tab. XXVI.] does not now exift, having been deftroyed by Bekir,bafhawof Cyprus, about the year 1749; we can- not arrive at any degree of certainty, in relation to the (89) Diod. Sic. Bibl. HiJl . Lib. XIV. p. 415. 1 charadlers [ 43 1 ] characters of which it was originally compofed. Of thofe, however, exhibited by the tranfcripts only the laft of the firft line and the laft of the infcription. feem to have deviated from their primitive forms.. The laft character of the firft line I can by no means take for He, as M. l’Abbe Barthelemy fuppofes it to. be, fince it fcarce bears a remote refemblance even, to his pretended new form of that element. Befides, M. l’Abbe has in effeCt given up this new form, by allowing that on the coins of Menae it may be taken for Mem. Nor can l'uch an uncouth proper name as n.ONJONH, tharaame, with three Alephs in it, and two together in the middle of it, I believe, be found in the whole circle of Hebrew, Syriac, or Phoenician antiquity. I fhould therefore rather call it 'Thau, one form of which it greatly refembles, if part of the curve behind be confidered as an ac- cidental addition ; which might eafily have been made, in the courfe of fo many ages. With regard to. the laft letter of the infcription, this feems to be purely adventitious, and of a recent date. For Dr., Porter’s accurate copy of this infcription, taken upon the fpot, which the late Rev. George Drake, M. A., and Fellow of Balliol College, received of Charles Gray, Efq; Member of Parliament for Colchefter, and gave to the Univerfity of Oxford, exhibits a. character refembling the modern form of Schin , though made in a very bungling irregular manner.. In fhort it preients to our view not the lead appearance of antiquity. Nay, it feems to have been formed upon the ruins of a Nun , the upper part or which is plainly vifible in this character. 1 would there- fore. with the permiftion of the critics, read toe * ' A 1 A [ 432 1 laft word of this infcription pn, cheren, cherin,' KEPIN, or KEPTNj which if we admit, together with what has been advanced, relative to the preceding dubious character, we may readily propofe to the confideration of the learned world the following in* terpretation. rr„w nhnh fJTD ~pD pn m DVCTOR A M ATHVNTI S REX CITII PRINCEPS CERYNI^E. In the fir ft word of the fecond line I fuppofe an apocope of the letter Caph, on account of the fol- lowing one ; fomething analagous to this having been obferved, as not unufual amongft the Phoeni- cians, by the learned Bochart, in the origin he af- ligns the name melcarthvs. Nor has M. 1’Abbe himfelf difapproved of M. Bochart’s notion. If the liberty of making this and the other flight alterations fhould be indulged me, and I think it would be no unreafonable indulgence, the infcription would be illuftrated by (90) Diodorus Siculus j feem to prove that the Cerynians joined the Citieans, Amathuflans, and Solians, in the Cyprian war, though (forming then, perhaps, a much more inconfiderable /bate than any of the others) they are not mentioned by that hiftorian ; and appear to be coeval with the Citiean (90) Diod. Sic. ubi Cup. Lib, XIX. p. 703, 705, 715, &c. infcriptions, C 433 3 infcriptions, that have been already explained. A ftrong prefumption this of the propriety, not to fay neceflity, of thofe alterations ! Nor can I allow the laft letter of the fecond line to be Lamed> as M. 1 Abbe has been pleafed to aflert, it being in both the copies brought from Cyprus apparently Nun. That the firft element of the third line was originally Kopl: , that fome words are wanting in the latter part of the monument, and that this part imported was buriedinthemonth See. are notions l'o extremely lingular, however efpoufed by M. l’Abbe, fo intirely unfupported, both by reafon and authority, that it would be fuperfluous to enter upon a difeuffion of them. But as I have long lince largely expatiated upon this (91) infeription, I lhall drop all far- ther particulars relative to it here, and content my- felf with referring the lovers of Phoenician anti- quities to the piece wherein a full and copious ex- plication of it (though I there took for He and Tzade the characters reprefenting Jod and Thau) may be found. IV. Before I conclude this memoir, it may not be im- proper to illuftrate two more of the Citiean inferip- tions [Tab. XXVI.], that have hitherto efcaped the at- tention of the learned. Nor will this, I flatter myfelf, be deemed altogether foreign to the prefent fubjedl as thole inferiptions may probably throw fome add! (91) Infcript. Cit.five p„ 15, 16. Oxon. 1753. Vol. LIV. in bin. al. infcript. Phcen. & c. ton} eft . Kkt tional Kkk v»» ' [ 434 ] tional light upon part of the preceding remarks, and more clearly evince a point of confiderable import- ance, with regard to the true explication of the Oxford infcription, that has been manifeftly oppofed by M. l’Abbe. ^ . .... i. The twenty-firft of the Citiean mfcriptions, which confffts only of the two words 7n {OOiO, or ^hn IDtSN1?, had probably loft a Lamed, before the autograph itfelf was deftroyed ; unlefs we will fuppofe the Phoenicians of Cyprus, when it firft appeared, to have ufed even the participle pahul itfelf of the radix ^n, or SSn, in the contracted form. The original Phoenician is equivalent to the Latin amamono INTERFECTO, AMAMONO in acie INTER1ECTO, OT amamoni in praelio confossi, fcil. lapis fepulchra- lis, i. e. the grave-ftone of amamon killed in war j which feems to imply, that this Amamon, who was probably an officer of fome note, fell in the affair that happened between a part of the combined army of Perffans and Phoenicians and a body of Euagoras’s troops (92) near Citium, foon after the commencement of the Cyprian war. Whence we may infer, that this infcription is coeval with thofe 1 have already endeavoured to explain j that it points, clearly enough, at the fame event ; and con- fequently that it brings a frefh acceflion of ftrength both to my opinion of the age of thofe monuments, and alfo to the authority of Diodorus Siculus himfelf in the point before us. As for the Phoenician proper name amamon, I have formerly expatiated fo (93) largely upon it, . (92) Dlod. Sic. Bibl. Hi ft. Lib. XV. p. 459* 4^°* 1(93) Infer ipt. Cit. p. 20, 21, 22. Oxon. 1 75°* that [ 435 1 that nothing farther relative to this word will be ex- pected from me here. The figure of the H.Ixtht according to Dr. Porter’s tranfeript, not a little re- fembles the unufual form of the fame element as prefented three times by the Oxford— Cidean mar- ble to our view. 2. The twenty- third Citiean infeription is form- ed of fix words, five of which are evidently proper names. They are ranged in four lines, and may be reprefented by Hebrew characters thus. crp-i rovD yj w’dk -\xb “iDtn LAPIS sEPVLCHRALIS RECIMI ASI AV JE AB DASARI LAR IL JB RECAT JE The fifth letter of the fecond line, which feems to have been intended for V yu, is pretty much de- formed. This appears from Dr. Porter’s accurate copy of the infeription. The original itfelf does not now exift. I take this character to have reprefented (94) Van, becaufe it fomewhat refembles the iTolic JAivamma, which anfwered to that element. The minute {trait line preceding the firft word is evi- dently an accidental blemiih, and therefore cannot be confidered as a letter. This, from its fize (04.) Chifh. Antiquitat. Afiat. p. 17, 19. Load. 1728. , K k k 2 and [ 436 ] and pofition, as well as from the term that imme- diately follows it, is inconteftably clear. The two words forming the fir ft line of the infcription are apparently HDVD, lapis sepvlchralis re- CIMT, THE TOMB-STONE OF REKIM, Or REKEM, the latter of which is (95) a Biblical proper name. The third of the proper names preferved by this infcription, abdasar, occurs on the Oxford and Maltcfe ftones, and has been already explained ; but the others I remember not elfewhere to have feen, nor are they, as I apprehend, to be met with in any antient author. The perfons that bore them were probably killed in the a&ion near Citium, mentioned by Diodorus Siculus, referred to on a fimilar occafion in thefe remarks, and buried in one grave. That atftion, as I have formerly obferved, preceded the commencement of the Chriftian aera about 386 years. The fubftantive in the beginning of a fen- tence, immediately preceding the proper name of a man, not followed by the term p, ben, son, and the father’s name, appears in this fepulchral infcrip- tion, that has more than one perfon for its objecft. This word alfo occurs, attended by the very fame circumftances, in the firft line of our Oxford infcrip- tion. Now in the Citiean monument before me it is undoubtedly equivalent to the Latin lapis sepvl- chralis, and the Englifh tomb-stone. Why then fhould it not have the fame fignification afftgned it in the other ? Moft certainly it fhould. Can any thing therefore be more forced and unnatural than M. l’Abbe Barthelemy’s notion of this term in the f95) Num, XXXI. 8. 2 Oxford [ 437 ] Oxford infcription, when he makes it to refer to I know not what obfcure town called Tfabeth, the fainteft traces of which are not to be met with in « any antient writer? A notion this void of the lead:', appearance of authority, . and deftitute of the very • fhadow of a reafon for its fupport ! The twenty-third Citiean infcription is alfo re- - markable for the exhibition of a very antient form j of Kcphy and of a pretty unufual one of Dzade, re- fembling the character that reprefented the fame ele- - ment amongft the Palmyrenes. This likewife fome- times appears upon the Phoenician (96) coins. The figure of Vau here feems by fome accident to have been deformed, before the autograph was deffroyed. It neverthelefs bears a fort of rude refemblance to the fEolic Digamma , which (97) owed its origin to this letter. As it has deviated, however, confiderably from the primitive character, cut at firfl in the done j I have not afligned it a place in the Phoenician alphabet, de- duced from the infcriptions found amongft the ruins of Citium, and now attending thefe remarks. Thus have I finilhed my remarks upon M. l’Abbe Barthelemy’s reflections on certain Phoenician mo- numents, and the alphabets refulting from them ; and endeavoured to redtify fome miftakes, that occur in this celebrated performance. How far I have fuc- ceeded in my defign the learned world, with candour and impartiality, will decide. I have alfo attempted to explain four of the Citiean infcriptions, in the courfe of thefe: remarks j and hope the explications (96) Joan. Baptift. Biancoft, De Antiq. Hebraor . (A Gracor . Lit. p. 32. Bononias, 1748. (97) Chifh. ubi fup. given, C 438 ] given, even upon the moft critical examination, will not be found very remote from truth. The alphabets deduced from thefe infcriptions and the Siculo-Pu- nic coins, illuftrated here, will, I flatter myfelf, not a little facilitate the interpretation of other fimiiar remains of antiquity. Nor will M. 1 Abbe, for whole fuperior merit I have a real efteem, find the lead reafon to complain of any illiberal treatment in this memoir. For as on the one hand, ever averfe to flattery, I have delivered my fentiments with a be- coming freedom, when I thought myfelf obliged to differ from him s fo on the other, notwithftanding the provocations received from certain authors, I have ftudioufly endeavoured to avoid every thing that might feem to have the leaft tendency to a diminu- tion of his character, as well as all undue warmth and afperity of expreflion. Noram 1 confcious of having mifreprefented him in any one particular. Tiuth (lands in no need of fuch fupports, nay it utterly difclaims them ; and truth is confidered as the foie objedt in view here by, S I R, Your much obliged. And moft obedient, Humble fervant, Chrift-Church, Oxon. Nov. 24, 1764. John Svvinton. INDEX. A N INDEX TO THE Fifty-Fourth VOLUME OF THE Philofophical Tranfaclions. For the Year 1764. A. a Bdalmalick, a Phoenician word. Its import, p. /l 423. Abdefuffim , a Phoenician word. Its import, p. 416. Ailments nervous, how affixed by handling metals, p. 23.— By fmells, 16. Thefe effefts now remedied, 18. 20. Ain, a Phoenician letter remarkt on, p. 395. Aleph, a Phoenician letter. Its genuine form, p. 124. Remarks on, 134. Alphabet , Phoenician remarks on, p. 24. 134* 393- Alpinus , Profper. A defence of his veracity, p. 9^ INDEX. America , a defcription of the American Armadilla, p. 57. Of the Cicada, p. 65. Fiery Meteors feen there, 185. See Connefiicut , Cicada , Jamaica , Martinico , Meteors , Newfoundland , Philadelphia. Anak, a Phoenician word. Its import, p. 415. Approximation , an eafy rule of for computing the diftance .of the Moon from a Zodiacal Star, by the Rev. Nevil 'Mafkeline, A. M. and F..R. S. p. 274. Armadilla American. See America. AJlhrna , an account of an unufual appearance on open- ing the body, of one who died of that difeafe, by W. Watfon, M. D. F. R. S. p. 239. His cafe des- cribed, ibid. The date of his lungs after death, 241. Thecaufes of the difeafe in that cafe inveftigated, 243. AJlronomers , the different waies of accounting time, in ule among them, p. 344. Agronomical obfervations. See Ohfervations Agronomical. Aurora Auftralis , how rare, p. 3 1 8. Borealis , a defcription of a curious one feen at Warfaw, p. 98. — Another feen at Lifbcn, 32 7. B. Bam , a Phoenician word. Its import, p.422. Barthelemi l’Abbe’s, memoir on the Phoenician letters re- markt on by the Rev. John Swinton, B. D. F. R. S. p. 1 19. — His explication of a Phoenician infcription, remarkt on by the fame hand, 132. — Further remarks on the fame fubjedt, by the fame hand, 393. Batavia road in the Eaft Indies. An account of the effedbs of lightening upon fhips there, p. 293. Belemnite , aFofil. An account of it, p. 38. Two kinds of it particularifed, 40. Its fhel 1 how formed and enlarged, 44. How different from oyfters '&c, 4-5. Flow changed by fire, 50. What properties it has when calcined, ibid. Ben, a Phoenician word. Its import, p. 415, Ben INDEX. 'Ben Coden road in the Eaft Indies. An account of the efteCls of lightening there, p. 293. Bergman lorbern, his letter containing experiments on eledlricity, p. 84. Beth and Heth, Phoenician letters remarkt on, p. 408. Bevzs, Mr. his obfervation of an eclipfe of the moon, }7 March, 1764, p. 107. Bith , a Phoenician word. Its import, p. 423. Bl/fs, Nathaniel Rev. M. A. Savilian Profefibr of Mathe- matics at Oxford. His obfervations on the eclipfe of the fun, Ap. 1, 1764. p. 141 Borlafe , William, M. A. and F. R. S. Plis account of the quantity of rain fallen at Mountfbay in Cornwall, p. 59. And of the weather there, ibid. Briftol , a remarkable tide there, p. 83. Butler , Mr. the fequel of his cafe from Vol. L. of thefe tranfadlions, p. 15. C. Caille , Abbe de la, his fedlor confidered, p. 351. Calandrini , Mr. his queftions relative to an apparatus for preventing the effects of lightning, p. 202. Thofe queftions anfwered by Dodtor Watfon, 203. Cambridge in New England, a fiery Meteor feen there, p. 188. Canton , J. his letter concerning artificial lightning, p. 208. His experiments relative to the compreffibility of water and other fluids, 261. Carinivet , Mr. his quadrant deferibed, p. 163. Cedar , its tar how ufeful in embalming, p. 12. Gerujfa , effedts of in nervous diforders, p. 17. Chances , fecond rule of, publifhed in Vol. LIII. of thefe Tranfadlions demenftrated, p. 296. Some dedudlions from thence, for the further perfedtion of the dodtrine of chances, 310. Characters , numeral Phoenician on certain coins explained, p. 136. The inference to be from thence made, 137. Vol, LI V. L 1 1 Chatham , INDEX. Chatham , a folar eclipfe obferved there, Ap. i, 1763.. P‘ 1 71, Cicada , of North America defcribed, p. 65. Its firfl ap- pearance, ibid. How generated, 66, 67. General re- marks upon it, 68. Citian infcriptions. See Infcriptions. Citium. See Infcriptions. Clocks , experiments upon them, p. 349. Why ufelefs as to fettling the different forces of gravity in different latitudes, p. 381. Cochineal Polilh, defcribed by Dodor Wolf, of Warfaw, p. 91. The Polifh Cochineal infed defcribed, 92. The method of dieing in Poland with that commodity, 93. How the colour thus given may be improved, 94. A further account of this material, 95. Coins antient Etrufcan two, obfervations upon them by the Rev. John Swinton, B. D. F. R. S. p. 99. Their antiquity how vifible, 100. The weight of one of them, 1 01. The weight of the other, 102. The form of the letters confidered, 103. The value of thefe Coins how determined, 104. Their antiquity ad- jufted, 105. Laodicean, p. 402. ■ Phoenician, p. 136. Sicilian, p. 404. Siculo-Punic, p. 408. Cold , an unulual degree of, obferved in Bed ford fit ire, Ap. 1 2, 1 764, by Mr. Howard, p. 1 18. Collinfon , Mr. F. R. S. his remarks on the Cicada of North America, p. 65. Comet , a table of the places of that which appeared in 1764, as obferved at Paris by Mr. Ch. Mefner, Affro- nomer at the Depot, of the plans of the marine of France, p. 151. Comprejfibility , of water and other fluids, p. 261: Why not fuch as might be fuppofed, 262. Conic Sedions. See Sections Conic . 4 Conjugate , INDEX. Conjugate Hyperbola. See Hyperbola. Connecticut in North America, a fiery meteor feen there, p. 189. . Connoljfance* des mouvements celeftes, a French almanack To called, remarkt on, p. 337- See Belalande. Conjiantinople , an account of a peftilence there, by Mr. Mordach M’Kenzie, p. 69. How cured in the hoi- pitals there, 79. Crane , a defcription of one both new and late, p. 2,4. An eftimation of its powers, 25. How it is to be workt, 26. Curves , divers properties of, demonflrated, p. 298. Cyprus , an ifiand invaded by the Perfians, p. 426. An enquiry into the time of this invafion, 429. 430. D. Declination,- of the magnetic needle, more accurately obferved by a new inftrument, p. 8 7. ^ Be la Lande , Mr. his method of computing the equation of time remarkt on, p. 337. His radica error, ,340- BelavaU Edward, Efquire, his account of the effete of lightning on St. Brides Church Fleet-ftreet, 1 June Bihden Captain ^ his account of the fize of conductors, for preventing the bad effedls of lightning in lrginia, p. 243. Why that pra&ice was adopted there, ibid. Biodorus Siculus, his account of the invafion of Cyprus, by the Perfians, p.426. r e . Bun, , Samuel, Mr. his obfervation of an eclipfe of the moon, 17 March 1764, p. n?.-1 Of the fun, 1 Ap. 1764, p. 1 1 4. E. Earth , her diftance from the moon how found, p. 29- What her diftance from the moon would be, n me L 1 1 2 and INDEX. and the moon were both unmoveable, 32. The ratio of the quantity of her matter to that of the moon how found, 33. Remarks on this Theory, 34. Eajl Indies , the effeds of lightning on three fhips there, by Mr. Veicht, p. 284. See Bencoolen , St. George. Eclipfes. — Of the moon, March 17, 1764. Obferved by Mr. Bevis, p. 107. By Mr. Dun, 117. By Mr. Mayer, 167. By Mr. Mafkeline, 369. Of the fun 1, Ap. 1764. Obferved in Clerken- vvell, 105. In Surry-ftreet, 107. At Liverpool, 108. By Mr. Bevis, 105. By Mr. Blifs, 141. By Mr. Dun, 1 14. By Mr. Raper, 150. By Mr. Mayer, 169. By Mr. Murray,. 171. By Jefuites at Rome, 254- Eddyfione lighthoufe, why fecure from the efFeds of lightning, p. 250. Elajlicity of the air, how different from that of water and other fluids, p. 262. Electricity, experiments of, in a letter from a Swedifh gentleman, p. 84. When pofitive and when negative, 85. How varied by circumftances, 86. More expe- riments relative to it, 87. Embalming, obfervations on the materials ufed in embalm- ing, p. 12. Thtr refult of divers experiments made on thofe materials, 13. Engines of any fort, their force how eftimated, p. 25. Equation of the time of noon, ufefulnefs of in correding aftronomical obfervations, p. 278. The beft manner of computing it, 336. How affeded by the nutation of the earth’s axis, 392. EjJ'ex-Jlreet , an account of the effeds of lightning there, * 235. 237, 238. Etrufcans , how they feparated their words, p. 425'. Evagoras , King of Salamene. His fleet when defeated, by the Per flans, p. 426. Events contingent, probabilities of, how calculated, p. 307. Further dedudrons towards pcrfcding the rule for cal- culating r O INDEX. culating them, 310. A method for readily difcovering where the probability lies, 316. A further improve- ment of that rule, 320. F. F £ X, of it, 133. Verfions of it, 424. 438; Its age fettled, 426. Martinico , effefts of lightning there, p. 251. Mafkelync Mr. his obfervations at St. Helena remarkt on, p. 153. How he fettled the horizontal parallax of the fun there, 154. His rules for computing the effects of refraction and parallax, 163. — For computing the diftance of the moon from a ftar, 274. His account of divers trials for finding the longitude at Sea, 332. His remarks upon Mr. Delalandes doCtrlne of the equation of time, 336. His obfervations at St. Helena* 349. In the Weft Indies, 389. Mathi , a Phoenician word explained, p. 421. Mayer , Chriftian, S. I. his account of the late Tranfit of Venus, p. 163. His letter relative to the lunar eclipfe* 17 March 1765, 165. His account of the folar eclipfe* 1 Ap. 1764, 169. Mekenz're , Mr. his account of the plague at Conftanti- nople, p. 69. See Confiantinople. Medals Punic, 407, 408. • Sicilian draughts of, p. 410. Sidonian remarkt on, p. 137. Mem , and He, two Phoenician letters, where and how miftaken for each other, p. 125. 129. 403. 410. 431. Mefner , Charles, his table of the places of the comet, 1764, p. 15 1. Metals and Paints, the effedls of handling them in ner- vous cafes, p. 1 6. 22. Meteors Fiery, an account of feveral feen in North Ame- rica, p. 185. Their relative velocity with that of the earth, 186. A further account of more meteors, 188, A remarkable one feen at Oxford, 32 6. Another 332. how different from the reft, 335. Mezibath , a Phoenician word explained, p. 416. Moon , her diftance from the earth and parallax how found, p. 29. A calculation of that diftance, 30. How this eftimate is encreafed, 32. The ratio of the moons Vol. LIV. M m m quantity INDEX. quantity of matter, to that of the earth how exa&Iy found, 33. Remarks upon this theory, 34. The ratio of the force of gravity to the earths attractive power over the moon, 35 — Her force in raifing tides, compared with the like power of the fun, 36. — Her equatorial diameter as feen in the fun during aneclipfe, 143. Her diameter taken during a folar edipfe, by the College of Jefuits at Rome, 256. Her diameter taken when not in con- junction with the fun, 257. A rule for nearly finding her diftance from a zodiacal ffar, 274. How the Lon- gitude is to be found out by her at Sea, 329. How her parallax is to be alcertained in a fixed obfervatory, 363. How her horary parallax is to be found, 371. . Eclipfes of obferved, 107 117. 161. 369. Morris , Michael, M. D. his obfervations upon different extracts of hemlock, p. 172. Mummy , an account of one infpeCted at London, p. r. How much injured by time, 3. Second covering of dcfcribed, 5. Its filliting, 6. Its thorax, 7. Its power of preserving roots, 8. Its cavities how filled up, 11. The principal matter ufed, and what, 12. How different in different mummies, 14. Murdoch , Mr. D. D. and F. R. S. his letter concerning the moon’s diftance and parallax, p. 29. N. Nahathi , a Phoenician word, meaning of, p. 420. Needle , Magnetic. See Declination. Nerves , their ufes how unknown, p. 183. See Gang- lions. Nervous^ diforders. See Ailments Nervous. Newfoundland , fiery metors feen there, p. 19. An ac- count of the late tranfic of Venus oblerved there, by Mr. Wenthorpe, p. 279. See Venus , IVenthorpe. Newton , Sir Ifaac, his method of inveftigating the law of gravitation, p. 29. 1 Oaks% INDEX. Oaks , obfervations upon them with refpeCt to lightning, p. 253. Obelijk , of St. Bride’s Church, the operations and progrefs of lightning there, p. 215. Obfervations aftronomical, how beft corrected, p. 278. 33b. 342. • made at St. Helena, 349. In the Weft Indies, 389. See Moon , Sun, Stars. Oliver , Andrew, Efquire, Secretary at MafTachufets Bay, his letter concerning an extraordinary difeafe among the Indians, p. 386. Oxford , an eclipfe of the fun, 1 Ap. 1 764, obferved there, 145. A remarkable meteor feen there, 326. Another, 332. How diffimilar from other phenomena of that lort, 335. P. Paints , and metals, effects of handling them in fome cafes, p. 16. Parallax of the moon, how determined, p. 29. How to be corrected, 263.— How the apparent diftance of the moon from a ftar is contracted, or augmented by her parallax, p. 268. A rule to compute this contraction or augmentation, ibid. A demonftration of this rule, 269. Remarks upon that and another rule relative to refraCtion, 270. How the operations purfuant to thefe rules are to be corrected, 271. A demonftration of the juftnefs of the rule for correcting thefe operations, 2 72, , - of the fun affumed by Mr. Murdoch, p. 37. A Supplement to Mr. Pingre’s memoir, on that lubject, 152. His parallax from the obfervations at St. Helena, 154. From thofe at Madrafs, 155* From ^at at the Ifle of France, 159. According to Mr. Short, 283. Penfilvania , an account of the Penfilvanian Cicada, p. 65. See Philadelphia. M m m 2 Per fans. INDEX. Perfians , their invafion of Cyprus, p. 426. Pejtilence. See Plague. Petechia purple, how removed, p. 18. Phcenicia, See Alphabet Phcenician. Philadelphia , the apparatus there ufed to prefer ve sedifices from lightning, p. 203. How improvable, 204. Where the apparatus ought to end, 205. 209. 220. Pingre Monfieur, a lupplement to his memoir on the funs parallax, p. 152. Why his obfervations fent from Lifbon differ from thofe in his memoir, 159. Pitch , its ufe in preferving mummies, p. n. Experi- ments and obfervations upon it, p. 13. Plague , a letter about it from Mr. M’Kenzie, M. D. p. 69. How gradually it proceeds, 70. How often it may attack the fame perfon, 72. Why fo frequent in the Levant, 73. I he uiual procefs of this diftemper, 74. How it fir ft fhows itfelf, 75. When it ufually ceafes, 77. How cured, 78. Prefervatives againft it, 80. A hiftory of Plagues from 1748, to 1761, 82. Plants , a catalogue of the fifty prefented to the Royal So- ciety, by the Company of Apothecaries, A. D. 1763, P- 137* Plat , Jofhua, his account of the Belemnite, p. 38. Polygones , fome new properties of them difeovered, p. 194. Pot , Mr. F. R. S. his account of a hernia found in the urinal bladder, p. 6r — -Of the (tone found there, 63. Powder magazines, how preferved from the efleds of lightning, p. 205. Price Richard, his letter concerning the do&rine of chances, p. 296. Probabilities , of unknown events. See Events Unknown. Pyramids , royal in Egypt. A defeription of a mummy taken out of them, and infpedted at London, p. 3. R. Rain, INDEX. R. Rain , quantity of fallen at Mountbay in Cornwall, as ob- ferved by the Rev. W. Borlafe, M. A. and F. R. S. p. 59- Rafer , Matthew, F. R. S. his obfervations on the eclipfe of the fun, i Ap. 1764. p. 150. Ratios fluxional, divers new conclufions concerning them obferved, p. 3 1 1. Reaumur , Mr. his account of the formation of the fhells of fnails, p. 43. Reeve , Mr. his obfervations relative to the moon’s equato- rial diameter, as feen in the fun, p. 143. —-His obfervations relative to the fun’s horizontal dia- meter, p. 143. Refraction , effe&s of, in varying the apparent diftance of the moon from the fun, or other hxt ftar, p. 263. A rule to compute thefe effects, 264. The foundation of that rule explained, 265. A demonftration of the truth the rule, 266. A remark on that demonftration, 267. See Parallax. Refti, a Phoenician letter, remarkt on, p. 412. Romans , their cuftom of impreffing marks upon their coins whence derived, p. 104. Rome , an eclipfe of the fun, 1 Ap. 1764* obferved there by a College of Jefuits, p. 254. Rofemary, how ufed about Mummies, p. 9. Rumowjki , Mr. his agronomical obfervations at Siberia,, p. 156. « . L < l »' Jli.y \j * , U tiVI * s. Schlojfer , Albert, M. D. F. R. S. his defcription of a fifh called Jaculator, p. 89. ■ Sea, obfervations upon the fun letting in the Sea, p* 381.. , SeCkcns, INDEX. Seftions, Conic, fome new properties in them difcovered by Edward Waring, M. A. F. R. S. p. 193. New difcoveries relative to Polygones infcribed within them, 194. Seflors , aftronomical inftruments fo called. Their imper- fections, p. 350. Seligni , Mr. his obfervations at the Ifle of France remarkt on, p. 158. Shenatb , a Phoenician word. Its import, p. 418. Ships, an account of the effects of lightning on them in the Eaft Indies, p. 284. Short , Mr. his account of the fun’s parallax, p. 283. His remarks upon Mr. Mafkeline’s method of making ce- leftia! obfervations, confidered by Mr. Mafkeline, 380. Siberia , agronomical obfervations made there by Mr. Rutnowfki, p. 156. Smyrna , why the plague is fo frequent there, p. 76. Snails , their fhells how formed according to Mr. Reau mur, p. 43. Solids , new properties of demonftrated, p. 196. Spar , what it feems to be, p. 41. Stars, their right afcenfions how exactly found, p. 384. St. Brides Steeple, Fleet-ftreet, a curious account of the efreCts of lightning upon that fteeple, by DoCtor Watfon, p. 209. The firft attack and progrefs of the lightning, 210. Where it ftopt, 21 1. The damage where done, 212. A particular defcription of the fteeple, 215. A detail of the damage it fuffered, 217. The caufe of this misfortune enquired into, 219. Steeples, why they fhould not be without an apparatus, for preventing the effects of lightning, p. 221. St. George Fort at Madrafs. Its latitude and longitude eaft- ward of Pondichery, p. 155. St. Helena, its longitude weft of the Royal Obfervatory at Paris fettled, p 153. The tranfit of venus obferved there, ibid. How unfit that place is for aftronomical obfervations, 349. Mr. Mafkeline’s obfervations there, ibid. INDEX. ibid. Eclipffcs of Jupiter’s fatellites obferved there 369. - - St. Johns , in Newfoundland. The tranfit of Venus ob- ferved there, 279. The obfervation how made, 280. Latitude of St. John’s fettled, 282. St. Paul's Church London, in what danger from lightning, p. 222. How that danger is to be prevented, ibid. 223. Sun , his parallax confidered, p. 35. His force to produce flood and ebb, 36. The ratio of his force on the earth to the force of gravity, 37. His horizontal diameter obferved by Mr. Reeve, 143. By Mr. Hornfby, 148. By Mr. Mayer, 170. By the Jefuits at Rome, 254. Eclipfe of 1 Ap. 1764, obferved at Clerkenwell, p. 105. In Surry-ftreet, 107. At Liverpool, 108. By Mr. Dun, 1 14. By Mr. Blifs, 141. By Mr. Hornfby, 145. By Mr. Raper, 150. By Mr. Mayer, 160. Mr. Murray, 171. By the College of Jefuites at Rome, 254. Set Parallax. Sweden, a new inftrument invented there, for afeertaining the declination of the needle, p. 87. Swinton , John, Rev. B. D. F. R. S. his explanation of fome antient Etrufcan Coins, p. 99. His remarks upon M. L’Abbe Barthelemy’s memoir, on the Phoenician letters, 119. His defeription of a remarkable meteor feen at Oxford, 326. His further remarks upon M. L’Abbe Barthelemi’s memoir, 393. Syria , the antient language of that country, how mixtwith Phoenician, p. 133. T. \ Tham , the name of a famous Perfian Admiral, p. 428. P'hau, a Phoenician letter, how mutilated by time, p* 122. What letter it has a refemblance of, 135. Phur or Hur, a Phoenician word, Its import, p. irb. cTidesi INDEX. T ides*, the moon’s force in raifing them, compared with that of the fun, p. 35. A remarkable one at BriftoJ, 83‘ Tucker Jofiah, D. D. his letter concerning a tide at Briftol, P- 83- j tzade, a Phoenician letter. The variety of its forms, P- *35- V. Veicht Robert, his account of the effects of lightning, upon three ihips in the Ealt Indies, p. 284. Venus , her tranfit over the fun, 6 June 1761. A fupple- ment to Mr. Pingre, account ot that tranfit publiihed in a former Volume of tins work, p. 152. An ac- count of that tranfit by Chriftian Mayer, 163. From Mr. Winthrop, Newfoundland, 279. Mr. Winth- rop’s account remarkt on, 282. Virginia , the fize of the conductors in that Province, for preventing the effedts of lightning, p. 253. Why that practice was adopted there, ibid. W. Waring Edward, M. A. F. R. S. his difcoveries of new properties in conic fedtions, p. 193. IV afps, a fingular fpecies of them minutely defcribed, P- 53- W ater and other fluids, compreffibility of, proved by J. Canton, M. A. F. R. S. p. 261. Their elafticity how different from that of air, 262. tVatfon^ W. M.D. F. R.S. his defcription of the American Armadilla, p. 57. His anfwer to M. Calandrinis queftions, relative to an apparatus for preventing the effedts of lightning, 203. His account of the diflcdtion or an afthmatic perfon, 239, Wilfin, INDEX. jVilfofi) B. F. R. S. his letter on the effedts of lightning, p. 247. Winthrop , John, Efquire, his account of feveral fiery meteors Fen in North America, p. 185. His letter concerning the longitude, 2 77. His thoughts on the equation of the time of noon, 278. His account of thetranfitof Venus, 6 June 1761, 279. Wires paralladtic, their uies in obferving the horary par- allaxes of the moon, 371. THE , ' ’ - si c ■ END OF V O JU > LIV. . .1 00 ■ . V ILt V ERRATA. A T ^ P. 33. 1. 2. read thus: T~ --—l X — \T X * &c. x+il AT+l) 14. read reckoned. r3 x3 18. for read — x 3 X1 36. II. from the bottom , to 8 put to 5. 99. ult .for greatly deformed, read fomewhat deformed. Vol. LIV. N n n 1 . t c: I't ..ill I 7’; 1 K-./J ; jj:, i. ' ... : 2 . j; ; ;•> o :* i l *o .j ERRATA in VOL. LIII. P. 14.0. lin. 15. from bottom, f or M. De la Caille’s, read M. De la Caille’s Ephemerides. . .. , „ 241. 1. 394. from bottom, for ecliptic orbs, read elliptic orbits. 245- 1* 9- from b°ttmi for lines conjunction, read times of conjunction. i77*/or r“03nD, read 292. 1. 8 .for any relation, read any peculiar relation. * 4 24ColorCard C rAX.COm