TRANSACTIONS OF THE ROYAL SOCIETT OF EDINBURGH. Jj VOL. I. EDINBURGH: PRINTED FOR J. DICKSON, BOOKSELLER TO THE ROYAL SOCIETY. SOLD IN LONDON BY T. CADELL, IN THE STRAND. M.DCC.LXXXVIII. • '•• V^, S ' Jm K.'"Ar>... T O T H E KING. SIR, 1 AM defired by the Members of The Royal Society of Edinburgh, humbly to requeft Your MAJESTY to accept the firft fruits of their Philofophical and Literary labours* To vi DEDICATION. To Your MAJESTY, as the Founder and Patron of the Society, they, of right, fhould be prefented. . IF they fhall be found worthy of the ap- probation of a MONARCH, who has diftin- guifhed His Reign by the utility of His In- ftitutions for improving the elegant Arts, as well as by the fplendour and fiiccefs of His undertakings to extend the knowledge of Nature, The Royal Society of Edin- burgh may hope to occupy a refpeclable place among thofe Bodies of learned Men, who, by their united efforts, have contri- buted, DEDICATION. vii buted, fo eminently, to the progrefi of Science and of Tafte in Europe. I am, with the higheft relpecl, Your MAJESTY'S dutiful fubjecl:, and devoted fervant, BUCCLEUGH. O N T E N T OF THE FIRST VOLUME. PART I.* » f HISrORT of the SOCIETT. » INTRODUCTION, Page 3. Charter of the Society, 7. Laws of the Society, II. Account of Experiments on Antimony, by Mr James Ruflell, 16". Dr Roebuck on the filling of Corn, 17. The Earl of Dundonald on Sea-Salt, - 19. Dr Anderfon on Cajl Iron, 26. Cafe communicated by Dr Andrew Duncan, - 27. Mr Wilfon 072 the Solar Syjiem, - 28. Dr Blane's Account of the Hurricane at Barbadoes, 30. Count de Windifchgratz's Problem, 37, 45. Mr Smellie on In/lincl, - 39. b AP- *N.B. PAUT I. comprehending the HISTORY, is contained under one fet of pages; and PART II. comprehending the PAPERS, is contained under two lets, vix. PAPERS of the- PHYSICAL CLASS under the one, and PAPERS of the LITERARY CLASS under the other- x CONTENTS. APPENDIX. MEMBERS DECEASED, - _ Page 46. I. Biographical Account of William Lothian, D. D. _ .A*. •II. Biographical Account of Sir George Clerk- Maxwell, Baronet, 51. III. Biographical Account of Matthew Stewart, D.D. -- 57. LIST of DONATIONS prefented to the ROYAL SOCIETY of Edinburgh, 77. LIST of all the MEMBERS or FELLOWS of the ROYAL SOCIETY of Edinburgh, . _ 83. Office-Bearers of the SOCIETY, 98. PART II. PAPERS READ BEFORE THE SOCIETT. 1. PAPERS OF THE PHYSICAL CLASS. I. Experiments on the Motion of the Sap in Trees . JJyDr John Walker, 3. II. The Theory of Rain. By Dr James Hutton, - 41. III. On the Caufes which affeft the Accuracy of Barometrical Mea- furements. By Mr John Playfair, - . 87. IV. On the Ufe of Negative Quantities in the Solution of Problems by Algebraic Equations. By Mr William Greenfield, - 131. V. Experiments and Obfervations upon a remarkable Cold which ac- companies the Separation of Hoar Frojl from a clear Air. By Mr Patrick Wilfon, - _ I46. VI. An Account of the Method of making a Wine, called by the Tartars Koumifs ; with Obfervations on its ttfe in Medicine. £y Dr John Grieve, . 178. VII. CONTENTS. *i VII. An Improvement of the Method of correcting the obferved Di- Jiance of the Moon from the Sun or a Fixed Star. By the Reverend Mr Thomas Elliot, Page 191. VIII. Account of a remarkable Agitation of the Waters of Loch Tay : in a Letter from the Reverend Mr Thomas Fleming to Mr John Playfair, 200. IX. AbJlracJ of a Regifter of the Weather, kept at Branxholm for ten years. Communicated by the Duke of Buccleugh, 203. X. Theory of the Earth. By Dr James Hutton, 209. XL The Orbit and Motion of the Georgium Sidus, determined di- rectly from Obfervations . By Mr John Robifon, 305. XII. Abjlracl of a Regijler of the Weather, kept at Hawkhill from 1771 to 1776. Communicated by Mr John Macgowan, 333. II. PAPERS OF THE LITERARY CLASS. I. Effay on the Origin and Structure of the European Legi/latures. By Mr Allan Maconochie. Part I. 3. II. A Dijfertation to prove that Troy was not taken by the Greeks. By Mr John Maclaurin, - ^- III. An Ode on the Popular Superjlitions of the Highlands. Written by the late Mr William Collins : And communicated by the Reverend Dr Alexander Carlyle, - 63. IV. An EJ/ay upon the Principles of Hijlorical Compojition, with an Application of thofe Principles to the Writings of Tacitus. By Mr John Hill. Part I. . 76. V. On the Dramatic or Ancient Form of Hijlorical Compaction. By Mr William Richardfon, - _ oo( VI. A Grammatical Effay on the Nature, Import and Effett of certain Conjunctions ; particularly the Greek AE. By Mr John Hun- ter> *. / 113. VII. Xll CONTENTS. VII. EJfay on the Origin and Structure of the European Legi/laturcs. ' By Mr Allan Maconochie. Part II. Page 135. VIII. An EJfay upon the Principles of Hiflorical Compojition, with an Application of thofe Principles to the Writings of Tacitus. By Mr John Hill. Part II. 1 8 1 . %* The Society is indebted to Robert Adam, Efq; for the Dejign of the engraved Frontiffiece. TRANS- TRANSACTIONS OF THE ROYAL SOCIETY OF EDINBURGH. V O L. I. PARTI. HISTORT OF THE S-OCIEfY. H I S T 0 R T o F THE SOCIETY. THE inftitution of Societies of learned men, who have united their labours for the cultivation of Phi- lofophy, or of Literature, is of an ancient date in feveral polifhed nations of Europe. It is, however, for the honour of Great Britain to have fet the firft example of an inftitution for thefe purpofes, incorporated by charter from the Sovereign, and carrying on its refearches under his patronage. A hint of this kind, to the Prince then reign- ing, is found in the works of Lord BACON *, who recom- mends, as one of the opera vere bafilica, the eflablifhment of Academies or Societies of learned men, who ihould give, from (A) time * BACON de Augment. Sclent. 1. 2. 4 HIS TORT of the SOCIETY. time to time, a regular account to the world of their refearches and difcoveries. It was the idea of this great philofopher, that the learned world fhould be united, as it were, in one immenfe republic, which, though confifting of many de- tached dates, fhould hold a ftridl union and preferve a mutual intelligence with each other, in every thing that regarded the common intereft. The want of this union and intelligence he laments as one of the chief obftacles to the advancement of fcience ; and, juftly confidering the inftitution of public foci- eties, in the different countries of Europe, under the aufpices of the Sovereign, to be the beft remedy for that defect, he has given, in his fanciful work of the New Atlantis, the delinea- tion of a Philofophical Society, on the moft extended plan, for the improvement of all arts and fciences ; a work, which, though written in the language, and tinctured with the colour- ing of romance, is full of the nobleft philofophic views. The plan of Lord BACON, which met with little attention from the age in which he lived, was de (lined to produce its effecl: in a period not very diftant. The fcheme of a Philofophical College, by COWLEY, is acknowledged to have had a powerful influence in procuring the eftablifhment of the Royal Society of London, by charter from CHARLES II. * ; and COWLEY'S plan is mani- feftly copied, in almoft all its parts, from that in the New At- lantis. The inftitution of the Royal Society of London was foon followed by the eftablifhment of the Royal Academy of Sciences at Paris ; and thefe two have ferved as models to the Philofophical Academies of higheft reputation in the other kingdoms of Europe. IN Scotland, fimilar aflociations for the advancement of fcience and of literatxire have, even without the benefit of Royal patronage, and with no other fupport than the abilities of their members, attained to no common degree of reputa- tion. IN * SPRAT'S Hiftory of the Royal Society of London, 2d edit. p. 59. BISTORT of the SOCIETT. 5 IN Edinburgh, a Society was inflituted in 1731, for the im- provement of medical knowledge, by collecting and publifhing EfTays and Obfervations on the various branches of Medicine and Surgery, written by the members themfelves, or communi- cated to them. The Secretary of this Society was the elder Dr ALEXANDER MONRO, the firft profeflbr of Anatomy in the Univerfity of Edinburgh, and the founder of the medical fchool which has fince attained to fuch eminence and celebrity. Under his care, the Tranfadlions of this Society were publifhed at different periods, in five volumes 8vo, with the title of Me- dical EJ/ays and Obfervations, &c. ; a work which has undergone many editions, which has been tranflated into many foreign languages, and is honoured with the encomium of HALLER, as one of the mod ufeful books in the fciences of Medicine, Anatomy and Surgery. SOON after the publication of the above mentioned volumes of Medical Eflays, viz. in 1739, the celebrated Mr MACLAURIN, profeffor of Mathematics in the Univerfity of Edinburgh, con- ceived the idea of enlarging the plan of this fociety, by ex- tending it to fubjecls of Philofophy and Literature. The infti- tution was accordingly new-modelled, by a printed fet of laws and regulations, the number of members was increafed, and they were diftinguiih'ed, from that time, by the title of The Society for improving Arts and Sciences , or, more generally, by the title of The Philofopbical Society of Edinburgh. They chofe for their Prefident JAMES Earl of Morton, afterwards Prefident of the Royal Society of London : Sir JOHN CLERK of Pennycuik, one of the Barons of Exchequer, and Dr JOHN CLERK, were elected Vice-prefidents ; and Mr MACLAURIN and Dr PLUMMER Secretaries of the inftitution. The ordinary members were fome of the moft diftinguiihed men of letters in Scotland at that time. A FEW years after the Society had received its new form, its meetings were interrupted, for a confiderable fpace of time, by the 6 HISTORY of the SOCIETT. the diforders of the country during the rebellion in 1 745 ; and no fooner was the public tranquillity re-eftablifhed, than it fuf- fered a fevere lofs by the death of Mr MACLAURIN, whofe comprehenfive genius, and ardour in the purfuits of fcience, pe- culiarly qualified him for conducting the bufinefs of an infti- tution of this nature. The meetings of the Society, however^ were renewed about the year 1752; and the new Secretaries, who were the celebrated Mr DAVID HUME and Dr ALEXANDER MONRO, junior, were directed to arrange and prepare for the prefs fuch papers as were judged worthy of being fubmitted to the public eye. The fir ft volume of the Tranfactions of the Philo- fophical Society of Edinburgh was accordingly publifhed in 1 754, under the title of EJJays and Obfervations, Phvfical and Literary ; the fecond volume was publifhed in 1756, and the third in 1771. IT has been always obferved, that inftitutions of this kind have their intervals of languor, as well as their periods of bril- liancy and activity. Every afTbciated body muft receive its vi- -gour from a few zealous and fpirited individuals, who find a pleafure in that fpecies of bvifinefs, which, were it left to the care of the members in general, would be often reluctantly fubmitted to, and always negligently executed. The tempora- ry avocations, and, ftill more, the deaths of fuch men, have the molt fenfible effect on the focieties to which they belonged. The principle of activity which animated them, if not utterly extinguilhed, remains long dormant, and a kindred genius is re- quired to call it forth into life. FROM caufes of this kind, the Philofbphical Society of Edin- burgh, though its meetings were not altogether difcontinued, nppears to have languilhed for fome time, till about the year 1 777, when its meetings became more frequent, and, from the uncommon zeal and diflinguifhed abilities of the late HENRY HOME, Lord KAIMES, at that time elected Prefident of the in- ftitution. HISTORY of the SOCIETY. 7 ftitution, its bufinefs was conduced with renewed ardour and fuccefs. ABOUT the end of the year 1 782, in a meeting of the Profeflbrs of the Univerfity of Edinburgh, many of whom were likewife members of the Philofophical Society, and warmly attached to its interefte, a fcheme was propofed by the Reverend Dr RO- BERTSON, Principal of the Univerfity, for the eftablifhment of a New Society on a more extended plan, and after the model of Ibme of the foreign Academies, which have for their object the cultivation of every branch of fcience, erudition and tafte. It appeared an expedient meafure to folicit the Royal Patronage to an inftitution of this nature, which promifed to be of national importance, and to requeft an eftablifhment by charter from the Crown. The plan was approved and adopted ; and the Philofophical Society, joining its influence as a body, in fecond- ing the application from the Univerfity, his Majefty was mod gracioufly pleafed to incorporate THE ROYAL SOCIETY OF EDINBURGH, by the following Charter : GrEORGIUS, Dei Gratia, Magnte Britannia, Francis, et Hiber- niUIDEM, Nos confiderantes quod Petitio bumilis Nobis oblata fuerit ', a Henrico Duce de Buccleugh, Roberto Dundas Armigero, Domino Praftde Curia SeJJlonls ; Jacobo Montgomery Armigero^ Domino Capitali Barone Curies Scaccarii in Scotia ; Thoma Miller Armigero, Do- mino Juftitiario Clerico; Joanne Grieve Armigero, Domino Pra- pojito Civitatis Edinenjis ; Domino Alexandro Dick Baronet to j Domino Georgio Clerk Baronetto; Reverendo Gulielmo Robert- fon, 5. 5. Theologies Doff ore, Academlee Edinenjis PrafeEio; Gu- lielmo Cullen et Alexandro Monro, Medicina Doftoribus; Hu- gone Blair et Joanne Walker, 5. Theologies Doftoribus; Adamo Fergufon, Legum Doffore, et Andrea Dalzel, Joanne Robifon, ft Allano Maconochie, in Academia Edinenji Profeffbribus ; Hay Campbell 8 HISTORY of the SOCIETT. Campbell Armigero, Solicitatore nojlro Generali pro Regno Scotia; Jacobo Hunter-Blair et Adamo Smith, Armigeris, et Joanne Maclaurin, Gulielmo Nairne, et Roberto Cullen, Armigeris, Ad- •vocatis j ab Us fcilicet, atque in eorum nomine : In qua Petitions enarratur, Eruditorum bominum Societates ufu compertas ejje admo- dum idoneas ad promo-uendam Scientiam, et bonum de re Liter aria Judicium, ubicunque gentium injiitutte fnerint j Atque adeo multos ejfe homines, aut Loco aut Literis eminentes, qui votum diu extulerinty ut Societas Liter aria Edinburgi injlitueretur, ad Statum illius partis Imperil nojlri qna Scotia vocatur accommodata, perfuajijjimum ba- bentes ejufdem Labores et Indagationes emolumento Reipublica baud afpernando futuras : S^uem ad finem Petitores fupradi£los fpecJantes Societatem inter fe,Ji modo Patrocinio noflro digni baberentur, inire conflituiffe, eofdemque fubmiffe fperare Nobis pro gratia noflra placi- furttm, ut eos in unurn Corpus formemus, una cum aliis quicutique in eorum numerumjint cooptandi, ad Societatem conjlituendam^ qua non folum in Scientiis Matbefeos, Pby/ices, Cbemiee, Medicines et Hijlo- r'uz Natura/is, verum etiam in Us qua ad Archceologiam^ Pbilologiam et Literaturam fpeftant, verfetur : Precantes igitur, ut Us conceda- mus regiam noflram Cartam^feu Liter as patentes, fub Sigillo intus fcript. Nominantem, Conflituentem, Erigentem, et Incorporantem di- cJos Petitores ) et alios quaks poflea ajjiimentur feu eligentur Socii, In unum Corpus Politicum et Corporatum,feu legalem Incorporationem, per Nomen et 'Titulum, et fub Ordinationibus in bis poflea diElis : ET" NOS certiores fatJi Confilium Petit or um ejje laudabile et dignum quod promoveatur : IGITUR Conftituimus •, Ereximus et Incorpora- vimus,ficuti Nos, regia nojlra prerogativa, et Gratia fpeciali, pro No- btfmetipjis noflrifque regiis Succejforibus, per has prtefentes, Conjlitui- mus, Erigimus, et Incorporamus PRJEFATOS Henricum Ducem de Buccleugh ; Robertum Dundas Annigerum, Dominum Prte- fidem Curia Scffionis j Jacobum Montgomery Armigerum, Domi- num Capitalem Baroiiem Curia Scaccarii in Scotia; Thomam Mil- ler Armigerum, Dominum Juftitiarium Clericum ; Joannem Grieve Armigerum, Dominum Prapojitum Civitatis Edinenfis ; Dominum Alexandrum HISTORY of the SOCIETT. 9 Alexandrum Dick Baronettum j Dominion Georgium Clerk Ba~ ronettum; Referendum Gulielmum Robertfon, S. S. Tbeologia Doclorem, Academics Edinenjis Prafeclum ; Gulielmum. Cullen et Alexandrum Monro, Medicines DocJores ; Hugonem Blair et Joannem Walker, iS. Theologies DocJores z Adamum Fergufon, Legum DocJorem, et Andream Dalzel, Joannem Robifon et Alla- num Maconochie, in Academia Edinenji ProfeJJores j Hay Camp- bell Armigerum, nojlrum Solicitatorem Generalem pro Regno Scotia; Jacobum Hunter-Blair et Adamum Smith, Armigeros, et Joan- nem Maclaurin, Gulielmum Nairne, et Robertum Cullen, Ar- migeros, Advocates, atque alias viros quales pojiea ajjiimentur feu eli- genturSocii, IN UNUM CORPUS POLITICUM ET COR- PORATUM, vel LEGALEM INCORPORATIONEM, per Nomen et Titulum REGALIS SOCIETATIS EDINBURGI, ad promovendas Literas et Scientiam utilem, utque talis exijlens, el per tale nomen Perpetuitatem habeat et SucceJJionem ; atque ut potens et capax Jit caper e, tenere etfriti proprietate reali feu perfona/i, et peter e, Caufas agere,defendere etrefpondere,etconveniriinjus,trabi, defendi et refponderi in omnibus feu ullis no/Iris Curiis Judicature : ET NOS poteftatem damus Petitoribus primum eorum Congrejjum temndi, quarto die Luna men/is Junii proximi, in Bibliotheca Acade- mia Edinenfts, bora duodecimo meridiana, cum potejlate comperen- dinandi, atque, vel ad diclum Congrejjum, vel ad tempus in quod idem, per majorem Suffragiorum numerum eorum qui aderunt, com- perendinatus fuerit, eligendi Praftdem et tot Socios quot idoneos ad comple/idam Societal em judicaverint ; ibique, necnon ad eorum Con- gre/us fubfequentes, ordinandi Canones, ad quos Res Socielatis ftnt adminiftranda , Prafifquc et Sociijint eligendi j qui, tamen, Canones mutari vel augeri pojjint, majore fuffragante numero Sociorum qui ad ullum Congrejjum Societatis aderunt, Ji modo qua funt mutanda vel adjicienda, propojita fuerint in CongreJJu babito uno menfe ante ilium Congrejjum ubi de his judicandum fit: ET NOS ordinamus, ut cunfta Res antiqua, Tabula publica, Librique Manufcripti, quos acquifwerit dicJa Societas, deponantur in Bibliotheca Facultatis Ju- (B) ridiccE, 10 HISTORY of the SOCIETY. ridica, atque ut univerfa Corpora qua; ad Hiftoriam Naturalem pertinent, quceque eadem Societas acquiftverit , deponantur in Mufao Academic Edinenjis, ita ut utraque CollecJio aperta Jit Sociis, et e re publica fit, quantum fieri potefl : ET dicTi Petitores, atque it ex quibufcunque pojlea conjlabit dicla Societas, per has Lit eras patentes, potejiatem habebunt privatas ferendi Leges ad ejus adminiftrationem idoneas, et in aliis rebus procedendi, agendi etfaciendi, congrue cum Generali Lege et Praxi nojlri Regni Scotia in talibus cajibus. IN CUJUS RE I TESTIMONIUM, prafentibus Sigillum no- Jlrum per Unionis TracJatum cujlodiena. et in Scotia, Vice et Loco magniSigilliejufdem, utend. ordinal, appendi mandavimus : A PUD Aulam nojiram apud St James's, vigejimo nono die men/is Martii, 1783. ' anno Domini millejima feptingentefimo et oflogefimo tertio, Regnique nojlri anno vigejimo tertio. Per Signaturam Manu S. D. N. Regis fuprafcript. jane 23. THE firft general meeting of the Royal Society of Edinburgh the was held, in terms of the above Charter, on Monday the 23d society. ^ Q{ june ^g^ ^j the Right Honourable THOMAS MILLER of Barfkimming, Lord Juftice-Clerk, was chofen Prefident of the meeting. IT was then unanimoufly refolved, That all the members of the Philofophical Society of Edinburgh mould be aflumed as members of the Royal Society : And it was likewife refolved, That the Lords of Council and Seffion, the Barons of Exche- quer for Scotland, and a feledl number of other gentlemen, mould be invited to a participation of the Society's labours. THE meeting afterwards proceeded to eftablifli the form or conftitution of the Society, and to frame a fet of regulations for its future proceedings. Mr JOHN ROBISON, Profeflbr of Natural Philofophy in the Univerfity of Edinburgh, was unanimoufly elected General Se- cretary, and Mr ALEXANDER KEJTH, writer to the Signet,Trea- furer of the Society. THE « HISTORY of the SOCIETY. n I THE meeting was then adjourned to Monday the 4th day of Auguft 1783. THE Society having met, in terms of the adjournment, the Se- cretary gave in a lift of thofe noblemen and gentlemen who had accepted of the invitation to become members. He alfo informed the meeting, that he had been directed by the Vice-Prefident and members of the Philofophical Society of Edinburgh, to de- liver their minute-book, and all fuch diflertations and papers as were in their Secretary's hands, to the Royal Soceity. The minute-book and papers were accordingly received, and given in charge to the General Secretary. THE members then confidered anew the ftatutes and regula- tions which had been propofed at laft meeting, and enacted a body of fundamental laws, afcertaining their conftitution, and directing their future proceedings. IT is judged unneceflary to give a minute account of thefe laws. The public is interefted only in what relates to the fcien- tific proceedings of the Society, the general duties of its mem- bers, and the election of candidates. THE Royal Society of Edinburgh confifts of Ordinary and Ho- norary members ; and the honorary places are reftricted to per- fons refiding out of Great Britain and Ireland. THE election of new members is appointed to be made at two dated general meetings, which are to be held on the fourth Monday of January, and the fourth Monday of June. A CANDIDATE for the place of an 'ordinary member muft fignify, by a letter addrefled to one of the members, his wifh to be received into the Society. He muft then be publicly propofed at leaft a month before the day of election. If the propofal be feconded by two of the members prefent, his name is to be inferted in the lift of candidates, and hung up (B 2) in 1783- Auguft 4. id General Meeting. Laws of the So- ciety. Election of Members. 12 HISTORY of the SOCIETT. The Society di- vided into two Clafles. The Phyfical Clafs. The Literary Clafs. in the ordinary place of meeting. The election is made by bal- lot, and is determined in favour of a candidate, if he mail have the votes of two thirds of thofe prefent, in a meeting confining of at leaft twenty-one members. THE general bufinefs of the Society is managed by a Prefi- dent, two Vice-Prefidents, with a council of twelve, a General Secretary, and a Treafurer. Thefe officers are chofen by bal- lot, annually, on the laft Monday of November. All public deeds, whether of a civil or of a literary nature, are tranfacled by this board, and proceed in the name of the Prefident or Vice-Prefident. IT is requefted and expected of each of the members, that he will favour the Society, from time ,to time, with fuch eflays or obfervations on fubjects of fcience, literature, or other ufe- ful knowledge, as his leifure and opportunities may render con- venient. As it was thought that the members would have a greater inducement to punctual attendance on the meetings of the So- ciety, if they had fome general intimation of the nature of the fubjects which were to be confidered, and made the to- pics of converfation, it was therefore refolved, to divide the Society into Tivo Cla/fes, which mould meet and deliberate fe- parately. The one of thefe clafles is denominated the PHYSICAL CLASS, and has for its department the fciences of Mathematics, Natural Philofophy, Chemiftry, Medicine, Natural Hiftory, and what- ever relates to the improvement of Arts and Manufactures. THE other is denominated the LITERARY CLASS, and has for its department Literature, Philology, Hiftory, Antiquities, and Speculative Philofophy. EVERY HISTORY of the SOCIETY. 13 EVERY member is defired, at his admiffion, to intimate which of thofe clafles he wifhes to be more particularly aflbciated with ; but he is, at the fame time, entitled to attend the meetings of the other clafs, and to take part in all its proceedings. EACH of the clafles has four Prefidents and two Secretaries, who officiate by turns. THE meetings of the Phyfical Clafs are held on the firft Mon- days of January, February, March, April, July, Auguft, Novem- ber and December ; and the meetings of the Literary Clafs are held on the third Mondays of January, February, March, April, June, July, November and December, at 7 o'clock after- noon. AT thefe meetings, the written eflays and obfervations of the members of the Society, or their correfpondents, are read pu- blicly, and become the fubjecls of converfation. The fubjecls of thefe eflays and obfervations are announced at a previous meeting, in order to engage the attendance of thofe members who may be particularly interested in them. The Author of each diflertation is likewife defired to furnifli the Society with an abftracl of it, to be read at the next enfuiiig meeting, when the converfation is renewed with increafed advantage, from the knowledge previoufly acquired of the fubjecl. AT the fame meetings are exhibited fuch fpecimens of natu- ral or artificial curiofities, fuch remains of antiquity, and fuch experiments, as are thought worthy of the attention of the So- ciety. All objects of natural hiftory prefented to the Society, are ordered by the Charter of the Inftitution to be depofited, on receipt, in the Mufeum of the Univerfity of Edinburgh, and all remains of antiquity, public 'records, or ancient manufcripts, in the Library belonging to the Faculty of Advocates at Pldin- burgh. THE. Times of meet- ing. Bufinefs of the- Meetings. 14. HISTORY of the SOCIETY. \ THE ordinary members, whofe ufual refidence is in the city of Edinburgh, or its immediate neighbourhood, are expected to at- tend regularly the monthly meetings ; and are required to de- fray, by an annual contribution, the current expences of the in- flitution. The members who refide at fuch a diftance from Edinburgh, that they cannot enjoy the advantages arifing from a regular attendance on the meetings of the Society, are not fubjected to any contribution for defraying its expences, but have a right to attend thofe meetings when occasionally in Edin- burgh, and to take part in all their proceedings. Committee for THE compilation of the printed tranfactions of the Royal So- Publication. . r . r . ciety or Edinburgh, is to be made in the following manner : The papers read at the monthly meetings, and depofited in the hands of the Secretaries of the two clafTes, are fubjected to the review of the Committee for publication , which confifts of the Pre- fident, Vice-Prefidents and Council, the General Secretary and Treafurer of the Society ; together with the Prefidents and Se- cretaries of the two clafles. This Committee makes a {election of papers, and determines the order in which they are to be publifhed. It is not, however, to be underflood, that thofe pa- pers which do not appear in the Tranfactions of the Society, are thought unfit for the public eye. Several papers have been communicated with the fole view of furnifhing an occafional entertainment to the members ; and that end being anfwered, have been withdrawn by their authors : EfTays, obfervations, and cafes, are often read at the meetings of the Society, in or- der to obtain the opinions of the members on interefling or intricate fubjects : Some papers intended for a future publica- tion have been withdrawn for the prefent by their authors, in order to profit by what has occurred in the converfations which the reading of the papers has fuggefted ; and others, of acknow- ledged merit, the Committee has found it necefTary to referve for HIS TORT of the SOCIETY. for a fubfequent volume. Nor is the publication of any paper to be confidered as exprefling any concurrence in opinion with the author. It only intimates that the Committee judges the paper to be worthy of public notice, on account of the ufeful information it contains, the hints which it may fuggeft, or the ingenuity which it difplays. AFTER the enactment of the Laws of the Society, the meet- ing proceeded to the election of the office-bearers of the enfu- ing year. [See the Lift fubjoined to Part firft of this vo- lume.] 4 THE Phyfical Clafs of the Royal Society of Edinburgh met, for the fir ft time, on the 4th of November 1783 ; and Dr WIL- LIAM GULLEN, ProfefTor of Medicine in the Univerfity of Edin- burgh, was requefted to take the chair. The meeting then proceeded to the election of four Prefidents and two Secretaries, for directing and recording the proceedings of this Clafs. [See the Lift of the office-bearers fubjoined to Part firft of this vo- lume.] The meeting then appointed a Committee for framing regulations for conducting the bufinefs of the Phyfical Clafs. THE Literary Clafs of the Royal Society of Edinburgh met, for the firft time, on the iyth of November 1783, and the Re- verend Dr ROBERTSON, Principal of the Univerfity, was re- quefted to prefide. The firft bufinefs of the meeting was the election of four Prefldents and two Secretaries, for directing and recording the proceedings of this Clafs. [See the Lift of the office-bearers fubjoined to Part firft of this volume.] The meet- ing then appointed a Committee for framing regulations for conducting the bufinefs of the Literary Clafs. Pbyf. Cl. AT a meeting of the Phyfical Clafs of the Royal Society, the Reverend Dr WALKER read the firft part of a pa- per, 1783. Auguft 4. Eleaien of the Office-bearers. Nov. 4. I ft Meeting of the Phyfical Clafs of the Royal Society. Nov. 17. I ft Meeting of the Literary Clafs. Dec. 9. Paper by Dr Walker. i6 HISTORY of the SOCIETY. Account of ex- periments on Antimony by Mr Ruflell. per, entitled, Experiments on the Motion of the Sap in Trees. The paper is publifhed in this volume. [No. I. Phyf. Cl. ] AT the fame meeting, Mr JAMES RUSSELL, furgeon, read an account of fome experiments made by^him on antimony. The object of thefe experiments was to find an eafy and a cheap me- thod of obtaining a folution of regulus of antimony in the mu- riatic acid, with a view to the preparation of tartar emetic, ac- cording to the directions in the laft edition of the Difpenfatory of the Royal College of Phyficians in Edinburgh > the ufe of butter of antimony, as there directed, implying a very tedious, complicated, and expenfive procefs. Mr RUSSELL endeavoured to obtain pure dephlogiflicated muriatic acid in a fluid form, by adding to it the black calx of manganefe, (freed from par- ticles of iron by digeflion with vitriolic acid, and afterwards calcined by heat,) and then diftilling it : But he found it im- poffible to condenfe the fumes of the muriatic acid when thus dephlogiflicated, (as it appeared to be by the black calx of manga- nefe becoming white,) thoxigh he ufed a very long-necked retort, and had the receiver, containing water, immerfed in fnow ; for this acid, contrary to what happens to all the others, be- comes much more volatile on being dephlogiflicated. HE then tried the effect of the vapours of this dephlogifli- cated muriatic acid on regulus of antimony placed in the re- ceiver, and in the neck of the retort. This fucceeded to his wifh ; the regulus difTolving quickly and copioufly. As regu- lus of antimony is an expenfive preparation, he made a trial of crude antimony inflead of it ; and he found that the mu- riatic vapours very foon difTolved the metallic parts of it, and at lafl began to decompofe the fulphur, as, on trial, he found they did pure flowers of fulphur. This he judged to be of little confequence to the ultimate object, as the affinity of the muriatic acid to antimony is much flronger than that of the vitriolic. HISTORY of the SOCIETY. vitriolic. From a retort with fome manganefe in it, he diftilled 1783. five ounces of muriatic acid on two ounces of crude antimony, moifte'ned with water, raifing the heat towards the end of the procefs, to make the fand-pot red-hot. After the procefs, there were found in the receiver fome fulphur, fome undecompofed antimony, and a complete folution of the metal in the muriatic acid. This folution had all the properties of butter of antimo- ny ; and its precipitate, either by means of water or alkalis, was exactly fimilar to the common one. Some tartar emetic, pre- pared from it, appeared, as to all its chemical properties, to be without fault ', but Mr RUSSELL had not tried it medicinally. The quantity of precipitate, obtained from five ounces of acid and two of antimony, was about half an ounce. This muft be perfectly free from all mixture of a mercurial fait or corro- five fublimate, which, it has been fufpected, may be found in the common preparation. It may likewife be obtained with much more eafe, and at lefs than a tenth part of the expence. Lit. Cl. Mr ALLAN MACONOCHIE, Advocate, read the firft Dee. 15. r T\-rr • i ^ • • i <- n r i • Diflertation by part of a Dillertation on the Origin and Structure of the ancient Mr Macono- European Legiflatures. The Diflertation is printed in this vo- lume. [No. I. Lit. Cl.~\ Pbyf. Cl. Dr WALKER read the continuation of his paper on the motion of the Sap in Trees. [No. I. Pbyf. C/.] Dr ROEBUCK read fome Obfervations on the ripening and filling of Corn. SUMMER 1782 having been remarkably cold and unfavoura- ble, the harveft was very late, and much of the grain, efpeci- ally oats, was green even in October. In the beginning of Oc- tober, the cold was fo great, that, in one night, there was pro- duced on ponds near Kinneil, in the neighbourhood of Bor- (C) rowftounnefs, Jan. 5. Dr Walker on the fap of Trees. Dr Roebuck on the filling of corn. i8 HISTORY of the SOCIETY. 1784. Jan. 5. Dr Blane on the difeafes of the fleet Jan. 13. Mr T. Robert- fon on inflexion in languages. ftounnefs, ice three quarters of an inch thick. It was appre- hended by many farmers, that fuch a degree of cold would ef- fectually prevent the further filling and ripening of their corn. In order to afcertain this point, Dr ROEBUCK felected feveral ftalks of oats, of nearly equal fulnefs, and immediately cut thofe which, on the moft attentive comparifon, appeared the bed, and marked the others, but allowed them to remain in the field fourteen days longer ; at the end of which time, they too were cut, and kept in a dry room for ten days. The grains of each parcel were then weighed ; when eleven of the grains which had been left ftanding in the field, were found to be equal in weight to thirty of the grains which had been cut a fortnight fooner, though even the beft of the grains were far from being ripe. During that fortnight, (viz. from October 7. to October 21.) the average heat, according to FAHRENHEIT'S thermometer, which was obferved every day at 8 o'clock in the morning and 6 in the evening, was a little above 43. Dr ROE- BUCK obferves, that this ripening and filling of corn in fo low a temperature, {hould be the lefs furprifing to us, when we re- flect, that feed-corn will vegetate in the fame degree of heat ; and he draws an important inference from his obfervation, viz. That farmers mould be cautious of cutting down their unripe corn, on the fuppofition, that, in a cold autumn, it could fill no more. Mr Profeflbr DUGALD STEWART read the firft part of a pa- per, communicated by Dr BLANE, Phyfician to the Fleet lately in the Weft Indies, giving an account of the Difeafes in that fleet in 1782 and 1783. It is unneceflary to give here any ab- ftract of this paper, as the fubftance of it is publimed by Dr BLANE in his Obfervations on the Difeafes of Seamen. Lit. CL The Reverend Mr THOMAS ROBERTSON, minifter of Dalmeny, read the firft part of a Diflertation on the Theory of HISTORY of the SOCIETY. of Inflection in Languages. This paper, and its continuation, which was read at the next meeting of the Literary Clafs, form- ing a detached chapter of a work compofed by Mr ROBERTSON on the Theory and Hiflory of Languages ^ which he intends to of- fer to the public in a future volume of his Enquiry into the Fine Arts ; it was, on that account, judged improper to prefent it here in a mutilated or imperfect form. A GENERAL meeting of the Royal Society was held for the election of Members. Pbyf. CL Mr ProfefTor DUCALD STEWART read the remain- der of Dr BLANE'S Paper on the Difeafes of the Fleet in the Weft Indies in 1782 and 1783. [See fupra, Jan. 5. 1784.] Dr HUTTON read the firft part of a Diflertation, entitled, The Theory of Rain, which is printed in this volume. [No. II. Pbyf. <7/.] Dr WALKER read a paper, communicated by the Earl of DUNDONALD, containing an account of a new method, invent- ed by his Lordfhip, for purifying fea-falt. His Lordfhip, who was prefent, added, viva voce, fome obfervations on the fubject, which the Society requefted he would communicate in writing at a fubfequent meeting. THE Earl of DUNDONALD'S procefs for purifying fea-falt proceeded upon this obfervation, That the common fea-falt pof- fefTes a confiderable mixture of ingredients, which render it, in a great degree, unfit for preferving victuals. Thefe ingredi- ents appear, by experiment, to be naufeous, bitter and cathartic falts, having an earthy bafis, (magnefia falita and magnefia vi- triolata or Epfom fait) which are intimately mixed with the proper fea-falt. (C 2) To 1784. Jan. 26. Gen. Meeting. Fob. 2. Dr Blane on the difeafes of the fleet. Dr Button's theory of rain. Earl of Dundo- nald on fea-falt. 20 HISTORY of the SOCIETY*. To purify common fait, by diifolving it in water, decom- pounding the bitter falts, and precipitating their earthy bans, by adding a fixed alkali, whether foffil or vegetable, is a tedi- ous procefs, and by far too expenfive to be employed for ceco- nomical or mercantile pnrpofes. It is even imperfect ; as it is almoft impoffible, after that procefs, to feparate from the fea- falt the Glauber fait, or vitriolated tartar, or fait of Sylvius, which are produced according as trie foflil or vegetable alkali is ufed. Lord DUNDONALD obferved, That hot water faturated with fea-falt, will flill diflblve a great part of the bitter earthy falts. His method, therefore, of purifying the common fait from thefe bitter falts is, To take a conical vefTel, having a hole in the fmall end of it, which is to be undermoft ; to place it, filled with common fait, in a moderate* heat ; to take one twentieth part of the fait contained in it, and putting it in an iron pan, to dif- folve it in its proper proportion of water, fo that the water {hall be completely faturated with the fait ; and then to pour this folution boiling hot on the fait in the conical veflel, which is to be purified. The boiling water being already faturated with fea-falt, will diffolve no more of it, but will diflblve much of the bitter earthy falts ; and this folution will gradually drop out at the hole in the bottom of the cone. When it ceafes to drop,'the fame procefs is to be repeated by means of frefh por- tions of the fame parcel of fait, already partly purified, till it be brought to the required degree of purity. Lord DUNDO- NALD reckons, that three fuch wafhings make the common fait of this country purer than any foreign fait ; that each wafhing makes it 4.4 times purer than before ; fo that (difregarding fractions) after the fecond wafhing it will be 20 times, after the third 91 times, after the fourth 410 times, and after the fifth 1845 times purer than at firft. THE fuperiority of fait thus purified to common fait, is equally obvious to the tafte, and by its effect in preferving fifh, flefh HIS TORT of the SOCIETY. 21 1784. Feb. 16. MrT. Robert- foo on infledtion in languages. Mr Maclaurin on the Cege of Troy. r flefh and butter ; for it hath been often and carefully tried. Lord DUNDONALD conceives, that the fimplicity, facility and cheapnefs of -this method of purifying fait fhould recommend it to common practice, as it is an object of great public impor- tance. He adds, that as all fait made by boiling has a portion of uncombined magnefia mixed with it, it is proper to add a little muriatic acid to the firft brine poured on the fait, in order to diflblve the magnefia, and carry it off. Lit. Cl. The Reverend Mr THOMAS ROBERTSON, minifter of Dalmeny, read the remainder of the Eflay begun by him, January 23. on the Theory of Inflection in Languages. * Mr JOHN MACLAURIN, Advocate, read a Diflertation to prove that Troy was not taken by the Greeks. This Diflertation is publifhed in this volume. [No. II. Lit. £"/.] Pbyf. CL The Reverend Mr JOHN PLAYFAIR read the firft part of an Eflay on the Caufea» »rhk|^afl;ect the Accuracy of Barometrical Meafurements ; which,-;, j^publiihed in this vo- lume. [No. III. PbtfCL] AT this meeting Dr ALEXANDER MONRO was elected a Pre- fident of the Phyfical Clafs, in. the room of Sir GEORGE CLERK> MAXWELL, Baronet, deceafed. Lit. Cl. Mr Profeflbr DUGALD STEWART read aa Eflay on the Idea of Caufe and Effect, and on the Object of Natural Philofo- phy. This Eflay the author afterwards withdrew, on account of its connection with other papers which he did not chufe to publifli at prefent. Mr Profeflbr DALZEL, one of the Secretaries of the Lite- Biographical rary Clafs, read a fhort biographical Account of the deceafed LO*U* Dr WILLIAM LOTHIAN, the firft member whom the Society had March i. Mr Playfair on barometrical meafurements. March 15, Mr D. Stewart on caufe and cffeft. 22 HISTORY of the SOCIETT. 1784. had the misfortune to lofe. Having found it to be the gene- ral opinion of thofe members with whom he had an opportu- nity of converfing upon the fubjecl, that fuch biographical ac- counts would form a proper appendix to the hiftorical part of thefe Tranfa&ions, he had prepared this brief detail, preceded by fome general obfervations, as an introduction to future ac- counts of the fame kind. The plan was approved of by the Society ; and the Reader will find this Effay followed by others of a fimilar nature, forming an appendix to the hiftorical part of this volume. April it. Mr Greenfield on negative quantities in algebra. Dr Button's theory of rain. Earl of Dundo- nald on fea-falt. Pbyf. Cl. THE Reverend Mr WILLIAM GREENFIELD read a paper on the ufe of Negative Quantities, in the Solution of Pro- blems by Algebraic Equations ; which is publifhed in this vo- lume. [No .IV. Pbyf. Cl.] Dr HUTTON read the continuation of his paper on the Theo- ry of Rain, publiftied in this volume. [No. II. Pbyf. Cl.] Dr WALKER read a, letter from the Earl of DUNDONALD, giving an account of fome further experiments on the purifica- tion of fea-falt, which his Lordihip communicated in compliance with the requeft of the Society, at their meeting in February. The fubftance of the Earl's obfervations will beft appear from the following table. Each portion of fait was purified by four warnings, according to the method formerly defcribed. T A B L E. of the soar Err. TABLE. Salt employed. Purified Salt. Magnefia 1'alita. Magn. vitriol. Ib. oz. Ib. ox. Ib. oz. Salt hot from the pan firft drawn, ^56 oo 49 oo 6 05 •J-of fait employed. Salt hot from the pan laft drawn, 56 oo 33 09 22 06 f Ditto. Medium of the above, 56 oo 41 04 i4 °5 2 _>, $ Ditto. "u Salt 6 weeks old, 56 oo '« 0 47 oo 7 °° rt QJ c •f Ditto. Salt firft drawn, drip- *^z • _c "o ™ ctf ped 24 hours, 56 po '••: 52 12 £ 0} 3 °° cr V TT- Ditto. Salt laft drawn, drip. B o Q ped 24 hours, $6 oo 44 °8 II OO J3 u f Ditto. Medium of the two 1 laft, 56 oo 48 10 7 oo ^ •f Ditto. Spanifh great Salt, 10 oo 9 "5T oo OO-J- •arks Ditto. Bafket fine Salt, .3 oo . 3 °° oo oo . 1784. Dr CULLEN delivered to the Society five volumes written by Dr SAMOILOWITZ of St Peterfburg, prefented at the requeft of the Author, to the Royal Society of Edinburgh. The titles of thefe are to be found in the lift of Donations, at the end of Part I. of this volume. Lit. Cl. Dr JAMES ANDERSON read obfervations on a pecu- liarity in the Englifh language, ufually called a Genitive Cafe. Dr ANDERSON is of opinion, that the Englifh noun admits of no inflection by cafes, and therefore that the term genitive cafe is improper. He contends that the addition of the letter s •with an apoftrophe, to a noun, as Johnsflaff, is not an inflection of the noun, and therefore cannot be termed a Cafe. He afErms that when a noun undergoes a change of this fort, it ceafes to be itfelf a noun, and becomes immediately a definitive ; the office of which is to limit and render more precife the general mean- ing of another noun, with which it is neceflarily connected. Thus the general word Jtaff has its meaning limited, by the prefixing Books from Dr Samoilowitz. April i p. Dr Anderfon on the Englifh genitive. HISTORY of the 1784. Mr Hill's effay on hiftoriral compofition. Ode of Collins on the fuperfti- tions of the Highlands. June 5. Mr Wilfon's ex- periments, ire. •on cold. prefixing of the definitive John?,. He further obferves, how- ever, that all Englifli nouns do not admit of this converfion into definitives. The names of animated beings, or corporeal ob- jects, he confiders as readily fufceptible of fuch a change ; but fuch nouns as fignify abftract ideas, as bolinefs, diligence, ivhite- nefs, he confiders as incapable of being thus convertible into de- finitives. He concludes, by recommending to grammarians, as an object worthy of inveftigation, the afcertaining the differ- ence betwixt fuch definitives and adjectives, to which they bear a near refemblance. Mr Profeflbr JOHN HILL read the firft part of an Eflay on the Principles of Hiftorical Compofition; with an Application of thefe Principles to the Writings of TACITUS. The EfTay is printed in this volume. [No. IV. Lit. Cl.~\ THE Reverend Dr ALEXANDER CARLYLE read a Poem com- pofed by the late Mr WILLIAM COLLINS, on the Superflitions of the Highlands of Scotland, addrefled to JOHN HOME, Efq; au- thor of Douglas, &c. being the. Ode mentioned by Dr SAMUEL JOHNSON in his life of COLLINS, which the biographer there gives up for loft. An authentic copy of this beautiful Poem, from the manufcript in Mr COLLINS'S hand-writing, is printed in this volume, preceded by a particular account of the manner in which it has been preferved and difcovered. [No^lII. Lit. a] Pbyf. Cl. Dr WALKER, one of the Secretaries of the Phyfi- cal Clafs, read a paper by Mr PATRICK WILSON, Profeflbr of Aftronomy in theUniverfity of Glafgow, containing Experiments and Obfervations on a remarkable Cold which accompanies the Separation of Hoar-froft from a clear Air. The paper is pu- blifhed in this volume. [No. V. Pbyf. Cl.] , Mr HISTORY of the SOCIETT. Mr JOHN CLERK, junior of Eldin, Advocate, read a ftiort biogra- phical account of Sir GEORGE CLERK-MAXWELL of Pennycuick, Baronet, late Prefident of the Phyfical Clafs of the Royal So- ciety of Edinburgh. This account is printed in the Appendix to the hiftorical part of this volume. Lit. Cl. Mr ALEXANDER FRASER-TYTLER, one of the Se- cretaries of the Literary Clafs, read an EfTay, written by Mr ProfefTor RICHARDSON of Glafgow, on the Ancient or Drama- tic Form of Hiftorical Compofition j which is printed in this volume. [No. V. Lit. Cl.~\ Mr Profeflbr DALZEL, the other Secretary of the Literary Clafs, read a paper, written by Mr Profeffor HUNTER of St Andrew's, entitled, A Grammatical Eflay on the Nature, Im- port and Effect of certain Conjunctions. The EfTay is printed in this volume. [No. VI. Lit. £/.] A GENERAL meeting of the Royal Society was held for the election of general Office-bearers for the enfuing year ; when his Grace the Duke of BUCCLEUGH was re-elected Prefident, and the Right Honourable Lord JUSTICE-CLERK, and the Right Honourable HENRY DUNDAS of Melville, Vice-Prefi- dents. The General Secretary and Treafurer of the preceding year were continued in office. Pb\f. Cl. Dr BLACK read a paper, communicated by Dr JOHN GRIEVE, late Phyfician to the Ruffian army, containing an Account of the Method of making a Wine, called by the Tartars Koumifs. The paper is published in this volume. [No. vi. phyf. a.-] THERE were alfo read two Medical Cafes, communicated by Dr MUDIE, Phyfician at Montrofe ; the one, An Inflance of a complete 1784. Biographical account of Sir George Clerk, Baronet. ,June n. Mr Richardfon on hiftorical compofition. Mr Hunter on certain con- junctions. June 48. General meet- ing. July i«. Dr Grieve on Koumifs. Medical cafes. 26 HISTORY of the SOCIETY. 1784. complete and permanent Cure in Afcites ; the other, A Cafe of fevere nervous fymptoms occurring from a flight fuperficial wound. i9. On the Europe- Auguft 2. Dr Anderfon on caft iron. el. Mr ALLAN MACONOCHIE, Advocate, read the re- mainderof his Diflertation on the Ancient European Legifla- tures ; which is printed in this volume. [No. I. and No. VII. Lit. C/. ] Pbyf. CL Dr JAMES ANDERSON read a paper on fome ceco- nomical ufes to which caft iron may be applied. He obferved, That, in feveral mechanic arts, malTes of great weight, fize and ftrength, are required for bruifiiig or grinding various fub- ftances ; that it is often difficult to procure ftones of fufficient fize and ftrength for thefe purpofes ; that caft iron, though proper in point of ftrength, and eafily made of almoft any fize or Ihape, is fometimes inconvenient from its weight, and is, for many purpofes, too expensive. He propofed, therefore, that, inftead of pure iron, the moulds in which fuch mafles are to be caft fhould be nearly filled with ftones, or what would be ftill better, with bricks, as thefe could be. eafily moulded into the exact (hape required ; a proper fpace being left for an axle where needed, and an interftice between the outermoft of them and the mould ; that then melted iron mould be poured in to fill up every chink. This iron, cooling and confolidating, will unite or cement the ftones or bricks firmly together, and cover them with an uniform furface of metal. Thus, Dr ANDERSON thinks, that mafles of any fize, (hape and weight, and of fuffi- cient ftrength, may be procured at a cheap rate ; as a very fmall quantity of metal would be fufficient for a cement and coating to the ftones or bricks. IN the fame way, the Doctor thinks many architectural orna- ments might be made very cheap and very durable ; and he fuggefts the application of this method to the important pur- pofe HISTORY of the SOCIE^T. 27 1784. pofe of bridge-building, where very large ftones are often re- quired for the comtruction of arches. Inftead of fuch large ftones, he propofes to ufe compound mafTes, fuch as thofe above defcribed, cemented with iron, and exactly moulded, fo as to form, if required, an entire rib of an arch without a fiflure j and he thinks that, in this way, a number of arches might be accurately and firmly put together. Mr ROBISON, General Secretary, read a paper, communicated Mr * aftronomical by the Reverend Mr THOMAS ELLIOT, Minifter of Cavers, con- problem. taining an Improvement on the Method of correcting the ob- ferved Diftance of the Moon from the Sun or a Fixed Star. The paper is publifhed in this volume. [No. VII. Pbyf. £/.] THERE was likewife read an account, by Dr ANDREW DUN- Medical cafes. CAN, of a cafe of obftinate fingultus, in which the beft effects had been produced by the ufe of vitriolic acid. A gentleman, in the 73d year of his age, was feized with a violent hiccough, which continued without intermiffion for feveral hours. Dr DUNCAN prefcribed for him a mixture containing a drachm of acidum vitriolicum tenue, united with four ounces of mint-water, of which a table-fpoonful was to be taken every half hour. The firft dofe put a flop to the fingultus. About twelve hours afterwards, there was a return of the fit ; which, however, yield- ed inftantly to a fecond fpoonful of the mixture ; nor was there afterwards any occafion to repeat the dofe. Lit. Cl. Dr GREGORY read the Introduction to an EfTay to- wards an Inveftigation of the exact Import and Extent of the common Notion of the Relation of Caufe and Effect in Phyfics, and of the real Nature of that Relation. Parts of the Eflay it- felf were 'afterwards read by him at feveral fubfequcnt meetings of the Literary Clafs ', but he did not incline, that either the (D 2) EfTay Nov. 15. Dr Gregory's eflay on caufe and effea. 28 HISfORT of the SOCIETY. 1784. Eflay itfelf, or any abftracl of it, fhould appear in this volume of the Society's TranfadUons. Dec. 6. the Mr Fleming on Loch Tay. Mr Wilfon on the folar fyftem. A GENERAL meeting was held for th'e election of the Office- bearers of the ClafTes. [See the Lift fubjoined to Part I. of this volume.] Phyf. CL Dr WALKER read the concluding part of his paper on the Motion of the Sap in Trees, which is publimed in this volume. [No. I. Phyf. Cl.~\ THE Reverend Mr PLAYFAIR read a letter from the Reve- rend Mr THOMAS FLEMING, Minifter of Kenmore, giving an Account of an unufual Agitation in the Waters of Loch Tay, on the 1 2th of September laft. The letter is publimed in this vo- lume. [No. VIII. Phyf. <7/.] Mr JOHN ROBISON, General Secretary, informed the Society, that, a few days ago, Mr JAMES RUSSELL, one of the members, had offered to him the perufal of a paper, written by a friend, and containing fome thoughts on a method for difcovering by obfervation, whether the centre of the Solar Syftem was in mo- tion ; with other interefting matters in aftronomy. Mr ROBI- SON, recolledling that Mr PATRICK WILSON, afllftant Profeflor of Aftronomy at Glafgow, had long ago communicated to him in converfation, fome curious fpeculations on this fubject, told Mr RUSSELL, that, before perufing his friend's paper, he would write an account of what he could recolledl of Mr WILSON'S fpeculation on that fubjecl. This account he now laid before the Society, in order to afcertain the title to originality or priority, in any thing which may have occurred to both of thefe Gentlemen. THE fum of this account is, That about the year 1767 or 1768, Mr WILSON entertained an opinion that the aberration of HISTORY of the SOCIETY. 29 of the fixed ftars indicated the proportion between the orbital velocity of the earch, and the velocity of light in the vitreous humour of the eye. This opinion foon led him into various difcuffions, and, in particular, made him fuppofe, that the aber- ration of the fixed ftars, when determined by obfervations made with a telefcope filled with water, would be different from the aberration determined by obfervations made with a com- mon telefcope. Mr WILSON has given an account of fome im- portant and unexpected confequences refulting from thefe fpe- culations, in the Philofophical Tranfactions of London. About the year 1775 or 1776, Mr WILSON began to entertain an opi- nion that the centre of the folar fyftem was in motion, and in 1777, communicated to Mr ROBISON, and others, a paper on this fubject. The water-telefcope was, by this time, become familiar to his thoughts ; and it occurred to him, that it might be employed for deciding this queftion, and even for determin- ing the direction and velocity of this motion ; by means of the difference between the obferved aberration of the fixed ftars and the aberration which mould refult from the earth's orbital mo- tion alone. But various objections and difficulties occurred in> the profecution of this attempt, and Mr WILSON foon after- thought of another method. IF the earth be carried, with a great velocity, towards a fixed ftar, whofe rays are made to deviate a little by an achromatic prifm, it will follow, that a conftant angle of incidence will give different angles of total deviation, according to the veloci- ty of the motion ; and this difference will be both, real and ap- parent. Therefore, i. LET the telefcope of a meridional quadrant be furniflied with a prifm, refracting a few degrees in altitude. Search, by meridional obfervations, for fuch ftars as exhibit altitudes in- confiftent with Dr BRADLY'S aberrations : The differences will indicate an aberration caufed by a motion of the earth, dif- ferent from its orbital motion round the fun. 2. FURNISH HISTORY of the SOCIETY. 1784. Dec. 20. Efiay by Mr Dalzd. 1785. Jan. 3. Mr Playfair on barometrical meafurements. Dr Blane's ac- count of the hurricane »t- Barb.icloes. 2. FURNISH a telefcope with a plain mirror, inclined to its axis in an angle of 45°, and a feries of achromatic prifms re- fracting 90°. Suppofe the telefcope to be directed to a point of the heavens, 90° diftant from a ftar which is viewed through it. Suppofe alfo the earth to be at reft, and the images of this flar, formed by the refracted and by the reflected light, to coin- cide. Then fuppofe the earth to be in motion towards this ftar : The images will feparate, both on account of a change in the total deviation of the refracted light, and alfo on account of a tranfverfe aberration, to which the refracted image is liable, by the motion of the telefcope. 3. IF a long achromatic telefcope be directed to a fixed ftar, towards which the earth is moving, the focal diftance of the te- lefcope will be lengthened. The augmentation will indeed be very fmall, but Mr WILSON has fallen upon very ingenious methods of increafing it, fo as to make it become fenfible. Lit. CI. Mr Profeflbr DALZEL read an Eflay towards an Ex- planation of the Pleafure arifing from certain Scenes, Reprefen- tations and Defcriptions of Diftrefs : But he did not incline that the Eflay, or any account of it, fhould be given in this vo- lume. Phyf. CL The Reverend Mr JOHN PL AY FAIR read the fe- cond part of his Paper, on the Caufes that affect the Accura- cy of Barometrical Meafurements, publiflied in this volume. [No. HI. Phyf. Cl.~] Dr GREGORY read a paper communicated by Dr BLANK, giving an Account of the Hurricane at Barbadoes on the loth of October 1780. THERE had been nothing that could be called a hurricane felt at Barbadoes for more than a century before 1780, fo that the HISTORY of the SOCIETY. 31 the inhabitants began to think themfelves exempt from fuch calamities, and accordingly had no edifices of fufficient ftrength to withftand the force of a hurricane. ON the gth of October 1780, it began to blow hard at Bar- badoes ; but it was not apprehended till next day that there would be any thing more than fuch a gale as often happens at that feafon. But, on the evening of the roth, the wind rofe to a prodigious degree of violence. AT 8 o'clock it began to make impremon on the houfes, by tearing off the roofs, and overthrowing fome of the walls. The hurricane was thought to be at its greateft height at mid- night, but did not abate confiderably till 8 o'clock next morning. The ravage made during this night, on every object of nature and art, was complete and dreadful. The inhabitants, without diftinclion of age, fex, or condition, ^ were driven from their houfes, for fear of being buried in the ruins of them, and were obliged to pafs the night in the fields, expofed to the impetuous wind, to the cold, which was very re- markable, confidering the climate, to inceflant torrents of rain, and to the terrors of thunder and lightning, which were violent and almoft conftant. MULTITUDES perifhed, either by clinging too long to the buildings for fhelter, in attempting to fave what was valuable, or by unavoidable accidents from the falling of walls, roofs, and furniture, the materials of which were projected to great diftances. The number of lives loft was eftimated from returns made to the Governor, at more than 3000 ; but feveral parifli- es had given no returns. BY the violence of the wind, the bodies of men and cattle were often lifted from the ground, and carried for feveral yards. ALL the fruits of the earth then (landing were deftroyed, moft of the trees on the ifland were torn up by the roots, and many of them were ftripped of their bark. ALL 32 HISTORY of the SOCIETY. ALL the houfes on the ifland fuflfered more or lefs. Many of the private houfes were levelled with the ground, all of them unroofed, and the whole of their carpenter-work and furniture deftroyed. The large elegant church of Bridgetown was redu- ced to a heap of ruins. THE fea rofe fo high as to deftroy the Fort, carrying the great guns many yards from their platform, and demolifhing the houfes near the beach. A fhip was driven on more againft one of the buildings of the naval hofpital, which, by this mock, and the impetuofity of the wind and fea, was entirely ^deftroyed and fwept away. The Mole-head was fwept away, and ridges of coral rock were thrown up, which flill remain above the fur- face of the water : But the harbour and road have, upon the whole, been improved, being deepened in fome places fix feet, in others as many fathoms ; and the anchoring ground in the road is much better, by the crufl of coral, which had been the grow.th of ages, being torn up, and leaving a foft oozy bottom. Many fhells and fifh were thrown on more, which had been heretofore unknown. THE fufferings and lofles by fea were alfo great and cala- mitous. The wind was too violent for any fhip to ride it out, and they all puftied to fea, where mod of them perimed by the mere violence of the weather, without being driven any where on fhore. Out of twelve of his Majefty's fhips of war that were expofed to it, five have been totally loft ; and out of the crews of thefe, not more than ten or twelve perfons have been faved. Dr BLANE was fatisfied, both from what he had an opportunity of obferving himfelf, and from the teftimony of thofe who had beenprefent during the hurricane, that an earthquake attended it ; and he is convinced that it is not a vulgar prejudice or error to fuppofe, that in hurricanes a concuffion of the earth does oc- cur different from what can proceed from the mechanical im- petus of the wind. The flags in the floor of the Great Church, at HISTORY of the SOCfETT. 33 at Bridgetown were fet at angles to each other, though they were flickered from the wind, and nothing had fallen on them that could produce fuch an effect ; calks had changed their po- fition in cellars below ground ; maffes of rock were removed, which the mere force of air and water did not feem capable of effecting ; and there were chafms in the earth, which feemed to indicate fome internal agitation. The inhabitants, both of Barbadoes and St Lucia, felt the earthquake plainly ; and at St Lucia the earthquake happened fome hours after the greateft feverity of the gale. THIS hurricane chiefly affected Barbadoes, (which is in lati- tude 13°) the middle Caribbee iflands, Martinique, St Lucia, and St Vincent's. It was felt, but very (lightly, at Antigua, St Chriftopher's, the Virgin iflands, and at Grenada. At Tobago, they had rough weather at the time, which did no material damage. It is remarkable, that the more northern Weft India iflands, from latitude 17° to the tropic, are feldom exempt from hurricanes, for more than feven or eight years together* At Barbadoes, it has been already obferved, there had been no- thing of this kind for above a century. THE extent of this hurricane, from north to fouth, was pretty well afcertaihed by the accounts from the different iflands al- ready mentioned. But there were no means of afcertaining, with equal accuracy, how far it extended from eaft to weft. A {hip that arrived at Barbadoes fix days after, had a gale of wind about the time of the hurricane, which was not particularly violent, and was remarkable only for this, that the wind blew all round the compafs ; a circumftance which diftinguiflies the hurricane from all other gales within the tropics ; the courfe of nature being fo far inverted, that the direction of the trade- winds, at other times conftant, is not then obferved. At Bar- badoes, indeed, the greater part of the hurricane was from the N. E. ; but an hour or two after midnight, it was, for a little (E) , time, 34 HIS TORT of the SOCIETY time, due W. and was more or lefs from all the intermediate points. In places but a few miles diftant, people difagreed in their accounts of its violence and direction at the fame point of time. It was very irregular in thefe refpecls at other places ; for on the ifland of St Lucia they had it not at any time from the weft j but the Montague and Ajax, the {hips that were driven from that ifland, had it from all points. THE progrefs of it weftward was very flow, confidering the violence of the wind. This, Dr BLANE thinks, was owing to the various directions in which it blew. At St Vincent and St Lucia, which are not above twenty leagues to leeward of Bar- badoes, it was thirteen or fourteen hours later in coming on, and was ,not near fo violent. At St Domingo they had it in a flill lefs degree on the I3th and I4th of Odlober. It has fince appeared, that there was in England the mofl violent ftorm that has been known for many years, the very day of the hurricane at Barbadoes. IT was remarked, that the fhips which put before the wind during the hurricane, were not carried with the velocity which might have been expected from the violence of it. A mer- chant-fhip, with the crew on board, was driven from her an- chors at Barbadoes, all the compafles were broken, and, after toiling about for two days and two nights, the people found themfelves at the mouth of Carlifle bay, the very point whence they fet out, at a time when they might reafonably have fup- pofed themfelves 100 leagues from it. THERE was much lightning during the hurricane, chiefly in large iheets and fteady blazes, and little of the forked and dart- ing kind. At St Lucia, there was much of what the French called feu de St Elme, which Dr BLANE fuppofes to be the ignis fatuus. THERE was in the N. E. an Aurora Borealis, an unufual ap- pearance in the W eft Indies. DURING^ HISTORT of the SOCIETT. 35 DURING the whole night, a rumbling noife was heard in the Iky, now and then interrupted by a momentary paufe. There were no obfervations made, either with the thermometer or barometer; but the wind was remarkably cold. Dr BLANE was informed by Dr WARNER of Antigua, that, during ano- ther hurricane which happened at that ifland, the barometer, near the level of the fea, fell to 27/3-. It is known, that, in the Weft Indies, the barometer (lands, with little variation, fome- where between 29 and 30. THE influence of the hurricane on peoples health was very remarkable. Inftead of producing ficknefs, it feemed to have the very oppofite efFecl. There was lefs ficknefs after, than there had been before it ; and moft of thofe who were fick at the time of it were benefited by it, except the very old and de- licate, who fuffered, either from mechanical violence, or the fubfequent want of flicker. It had a vifible good eflfecT: on the difeafes of the climate, fevers and fluxes. Chronic diarrhoeas, the confequence of dyfenteries, were alfo cured by it. But the difeafes on which it operated moft vifibly and fenfibly were pulmonic complaints. Some recent cafes of phthifis, and even the acute ftate of pleurify, were cured by it. Nay, in the more advanced and incurable ftate of phthifis, the hec~Uc fever was, in a great meafure, removed, and a temporary alleviation at leaft procured. Dr BLANE mentioned particularly the cafe of a lady of his acquaintance, who was ill of a pleurify at the time of the hurricane, and pafled more than ten hours in the open air, fitting generally in a plafh of water from the rain that fell ; flie had no more of her complaint, nor any return of it ; and Dr BLANE faw her a few weeks after in better looks and in a better general ftate of health than flie had enjoyed for a great while before. It was a general obfervation, that people had remarkably keen appetites for fome days after the hurri- cane ; and many people, who ufed to be thin and fallow, Dr BLANE faw looking frefh and plump a few weeks after it, (E 2) though 1784. Regifter of the weather at JBranxholm. 1785. Jan. 17. Mr Frafer-Tyt- ler on the Scan- dinavian na- tions. Jan. 24. Gen. Meeting. 36 HISTORY of the SOCIETY. though the unhealthy rainy feafon was there harojy over. Thefe fafts, which appear fo very wonderful, Dr BLANE men- tions with confidence, they being confirmed by a concurrence of teftimony, and, in fome meafure, by his own obfervation. Dr WALKER prefented and read the title of a paper, commu- nicated by his Grace the Duke of BUCCLEUGH, Prefident of the Society, containing a Regifter of the Quantity of Rain that fell, the height of the Barometer and Thermometer, and the general bearing of the Wind at Branxholm for ten years, ending December 31.1 783. The Regifter is publifhed in this volume. [No. IX. Pbyf. Cl.} Lit. Cl. Mr ALEXANDER FRASER-TYTLER read a Diflerta- tion on the Character, Manners and Genius of the Ancient Scandinavian Nations. He did not incline that the Diflertation, or any abitracl: of it, mould be publiihed. A GENERAL meeting of the Royal Society was held for the eleclion of Members. Donations. j)r WALKER laid before the meeting a colleclion. of fpe- chnens of natural hiftory, and other curiofities, which had been prefented to the Royal Society. Thefe are enumerated in the Lift of Donations, printed at the end of Part I. of this vo- lume. Feb. 2 1. Mr Hill on hi- ftorical compe- tition. March 7. Dr Button's theory oi the earth. Lit. Cl. Mr Profeflbr. JOHN HILL read the remainder of his EfTay on Hiftorical Compofition, published in this volume. [No.. IV. and VIII. Lit.Cl.] Phyf. Cl. Dr BLACK, in the ab fence of the Author, read the firft part of Dr HUTTON'S Theory of the Earth, which is pub- liihed in this volume. [No.. X. Pbyf, C7.] Lit. HISTORY of the SOCIETY. 37 Lit. Cl. Dr GREGORY read a fecond part of his EfTay on the general Notion of the Relation of Caufe and Effect. [See fupra, Nov. 15. 1784.] AT a meeting of a Committee of the Royal Society, Mr Ro- BISON, General Secretary, prefented to the Society from THO- MAS HUTCHINS, Efq; his paper on the Congelation of Mercu- ry, and from Dr HUTTON of Woolwich, his Logarithmic Ta- bles. 1785- March n. Dr Gregory on caufe and ef- fect Pbyf. Cl. Dr HUTTON read the fecond part of his Theory April 4. of the Earth, published in this volume. [No. X. Pbyf. CL] theory* of earth. May if\. Donations. Lit. Cl. The Reverend Dr MACFARLAN read a Difcourfeon the Advantages of Manufactures, Commerce and great Towns, to the Population and Profperity of a Country. The Author having publifhed this Difcourfe, it becomes unneceflary here to give any account of its contents. A GENERAL meeting of the Royal Society was held for the election of the Office-bearers for the enfuing year. Thofe of the preceding year were unanimoufly continued in office. Pbyf. CL Dr WALKER read an Eflay on the Flowers of Mufcous Plants. He did not incline that any account mould be given of the EfTay in this volume. AT a meeting of the Council of the Royal Society, Mr Corn- miffioner SMITH informed the members, that he had received a letter from the Count de WJNCISCHGRATZ, dated BrmTells, May 8. 1785, on the fubjecl of a problem propofed by that nobleman to the learned men of all nations, which has for its object, the diminution of the number of law-fuits by fome re- quired method, which, at the fame time, mall impofe no new reftraints June 20. Dr Macfarlan on manufac- tures, &c. June 27. General meet- ing- Dr Walker on mufcous plants. Jily 9- Count de Win- difchgratz's problem. 38 HISrOR T of the SOCIETY. reftraints on natural liberty. The problem, as announced in a printed programma, which accompanied the Count's letter to Mr SMITH, is as follows : PRO omni poflibili inflrumentorum fpecie, quibus quis fe obftringere, fuumve dominium in alterum, quibufcunque ex motivis, et quibufcunque fub conditionibus transferre poteft, formulas tales invenire, quae omnibus cafibus indivi- duis conveniant, atque in quovis cafu fingulis duntaxat termi- nis, iifque pervulgatis expleri opus habeant, qui termini, aeque ac ipfae formularum expreffiones ejufmodi fint, ut quem- admodum in mathefi, nullum dubium, nullum litigium lo- " cum, habeat." A PRIZE of a thoufand ducats is offered to any perfon who mail furnim a complete folution of this problem. Should there be no complete folution, a prize of five hundred ducats is offer- ed to the author of that fcheme, which mall be judged to approach the neareft to a folution. The Count propofes, in the printed programma, that all writings which mall be offer- ed in the competition for thefe prizes, mail be judged of by three of the moft diftinguifhed Literary Academies in Europe. In his letter to Mr SMITH, he informs him, that the three learned bodies which he has chofen for that purpofe are : The Royal Academy of Sciences at Paris, the Royal Society of Edin- burgh, and one of the Academies of Germany or Switzerland, which he mail afterwards name. As a recompence for the trouble they may be put to in this decifion, he offers the fum of 50 louts d'or to each of thefe learned bodies, to be affigned by them as a prize for the folution of any queftion which they fhall propofe. Count de WINDISCHGRATZ intimates, that the Academy of Sciences at Paris has accepted of the office required of them ; and he defires that Mr SMITH will communicate his requeft to the Royal Society of Edinburgh, and inform him whether that body is willing to undertake the office of deqi- ding HISTORT of the SOCIETY. ding in the competition along with the Academy of Sciences, and the other Academy to be yet named. Mr SMITH fignified to the meeting, that although he enter- tained great doubt whether the problem of the Count de WIN- DISCHGRATZ admitted of any complete and rational folution, yet the views of the propofer being fo highly laudable, and the object itfelf of that nature, that even an approximation to its attainment would be of importance to mankind ; he was there- fore of opinion, that the Society ought to agree to the requetl that was made to them. He added, that it was his intention to communicate his fentiments on the fubjecl to the Count, by a letter, which he would lay before the Council at a fubfe- quent meeting. — The Council were of opinion, That the So- ciety mould acquiefce in the Count de WINDISCHGRATZ'S pro- pofal, but fhould decline to accept of the recompence offered. The farther confideration, however, of the affair was poftpo- ned, till Mr SMITH fhould communicate to the Council the draught of his intended letter to the Count, on the fubjedl of his problem. Phyf. CL Dr GREGORY read a paper communicated by Dr HOPE, giving an account of a remarkable cafe, attended with anomalous -fymptoms, and terminating fatally ; in which, on cliffeclion, the difeafe appeared to have proceeded from a large gall-flone flicking in the neck of the gall-bladder. Lit. CL Dr GREGORY read a continuation of his Effay on Caufe and Effect. [See>/>™, Nov. 15. 1784.] Phyf.Cl. Mr WILLIAM SMELLIE read an Effay on Inftind. As this Effay makes a part of a larger work, which the author is preparing to lay before the Public, he did not wifh it mould ap^ pear at full length among the Differtations printed in this vo- lume* 1785* Aug. i. Cafe communi cated by Dr Hope. Nov. 11. Dr Gregory on caufe and effedl. Dee. 5. Mr Smellie on 4o fflsrORT of the SOCIETT. lume. The following abftracl, however, is given of its prin- cipal contents. MANY theories have been invented with a view to explain the inftinclive actions of animals, but none of them have re- ceived the general approbation of Philofophers. This want of fuccefs may be referred to different caufes ; to want of at- tention to the general ceconomy and manners of animals ; to miftaken notions concerning the dignity of human nature ; and, above all, to the uniform endeavour of Philofophers to diftin- guifh inftinclive from rational motives. Mr SMELLIE endea- vours to {hew that no fuch diftinclion exifts, and that the rea- foning faculty itfelf is a neceffary refult of inftincl. HE obferves, that the proper method of inveftigating fub- jecls of this kind, is to collect and arrange the facts which have been difcovered, and to confider whether thefe lead to any general conclufions. According to this method, he exhi- bits examples, Firft, of pure inftincls : Secondly ', of fuch inftincls as can accommodate themfelves to particular circumftances and fituations : Thirdly, of fuch as are improveable by experience or obfervation : And, laftly, he draws fome conclufions. BY pure inftincls are meant fuch as, independently of all in- ftruclion or experience, inftantaneoufly produce certain aclions, when particular objects are prefented to animals, or when they are influenced by peculiar feelings. Such are, in the human fpecies, the inftincl of fucking, which is exerted by the infant immediately after birth, the voiding of faeces, the retraction of the mufcles upon the application of any painful ftimulus. The love of light is exhibited by infants, even fo early as the third day after birth. The paffion of fear is difcoverable in a child at the age of two months. AMONG the inferior animals, there are numberlefs pure in- ftincls. Caterpillars fhaken off a tree in every direction, turn immediately to the trunk, and climb up. Young birds open their mouths on hearing any noife, as well as that of their mo- ther's HISTORY of the SOCfE?l~. 41 ther's voice. Every fpecies of infe£t depofits its eggs in the fituation moft proper for hatching and affording nourifh- ment to its future progeny. Some fpecies of animals look not to future wants j others, as the bee and the beaver, are endowed with an inftinct which has the appearance of forefight. They conftruct magazines, and fill them with provifions. Bees difplay various remarkable inftincts. They attend and feed the female or queen. When deprived of her, all their labotirs ceafe till a new one is obtained. They conftruct cells of three different dimenfions ; for working bees, for drones and for fe- males ; and the queen in depofiting her eggs, puts each fpecies into its appropriated cells. They deftroy all the females but one, left the hive mould be overstocked. The different in- ftincts of the common bee, of the wood-piercing bee, and of that fpecies which builds cylindrical nefts, with rofe-leaves, are very remarkable. EQUALLY fingular are the inftincts of wafps, and ichneumon flies, which though they feed not themfelves upon worms, lay up ftores of thefe animals for the nourifliment of their young. BIRDS build their nefts of the fame materials, and in the fame form and fituation, though they inhabit very different climates. They turn and fhift their eggs, that they may be equally heated. Geefe and ducks cover up their eggs till they return to the neft. The fwallow folicits her young to void their excrement over the neft, and affifts them in the operation. The fpiders, and many infects of the beetle-kind, when put in terror, counterfeit death. This is not, as has been fuppofed, a convulfion or ftu- por, but an artifice ; for when the object of terror is removed, they recover immediately. OF inftincts which can accommodate themfelves to peculiar circumftances and fituations, many inftances may be given from the human fpecies ; but thefe being improveable, fall more pro- perly under the third clafs. (F) THOSE 42 HISTORY of the SOCIETY. THOSE animals are moft perfect, whofe fphere of knowledge extends to the greateft number of objects. When interrupted in their operations, they know how to refume their labours, and to accomplifh their purpofes by different means. Some animals have no other power but that of contracting or extend- ing their bodies. But the falcon, the dog, and the fox, purfue their prey with intelligence and addrefs. IN Senegal, the oflrich fits upon her eggs only during the night, leaving them in the day to the heat of the fun. At the Cape of Good Hope, where the heat is not fb great, fhe fits up- on them day and night. Rabbits, when domefticated, are not inclined to burrow. Bees augment the depth of their cells, and increafe their number, as occafion requires. A wafp carrying out a dead companion from the neft, if he finds it too heavy, cuts off the head, and carries out the load in two portions. In countries infefted with monkeys, birds, which in other coun- tries build in bufhes or clefts of trees, fufpend their nefts at the end of {lender twigs. The nymphaz of water-moths, which cover themfelves with cafes of draw, gravel, or fhells, contrive to make their cafes nearly in equilibrium with the water : When too heavy, they add a bit of wood or ftraw j when too light, a bit of gravel. A cat, when (hut into a clofet, has been known to open the latch with its paws. THE third clafs of inftincls comprehends all thofe that are improveable by experience and obfervation. THE fuperiority of man over the other animals, feems to de- pend chiefly on the great number of inftincls with which he is endowed. Traces of every inftincl which he pofieffes are dif- coverable in the brute- creation, but no particular fpecies enjoys the whole. On the contrary, mod animals are limited to a fmall number. This appears to be the reafori why the inftincls of brutes are ftronger, and more fteady in their operation than thofe of man, and their actions more uniform. MOST, HISfORT of the SOCIETT. 43 MOST human inftincts receive improvement from experience and obfervation, and are capable of a thoufand modifications. One inftinct counteracts and modifies another, and often extin- guifhes the original motive to action. The inftinct of fear is often counteracted by ambition and by refentment : The inftinct of anger, by fear, by fhame, by contempt, by companion. Of modified, compounded, and extended inftincts, there are many examples. Devotion is an extenfion of the inflinct of love, to the firft Caufe or Author of the univerfe. Superftition is the inftinct of fear extended to imaginary objects of terror. Hope is the inftinct of love directed to future good. Avarice is the inftinct of love directed to an improper object. Fear is like- wife an ingredient of this attachment. Envy is compounded of love, avarice, ambition, and fear. Sympathy is the inftinct of fear transferred to another perfon, and reflected back upon ourfelves. In this manner all the modified, compounded or ex- tended paflions of the human mind, may be traced back to their original inftincts. THE inftincts of brutes are likewife improved by obfervation and experience. Of fuch improvement, the dog, the elephant, the horfe, the camel, afford numerous and ftrong inftances. FROM thefe and other examples, given of the different claffes of inftincts, Mr SMELLIE argues, that inftinct is an original quality of mind, which, in man, as well as in other animals, may be improved, modified, and extended, by experience. SENSATION implies a fentient principle or mind. Whatever feels, therefore, is mind. Of courfe, the loweft fpecies of ani- mals is endowed with mind. But the minds of animals have very different powers ; and thefe powers are expreffed by pecu- liar actions. The ftructure of their bodies is uniformly adapt- ed to the powers 'of their minds ; and no mature animal at- tempts actions which nature has not enabled it to perform: The inftincts, however, of animals, appear often previoufly to the expanfion of thofe inftruments which nature intended they (F 2) fhould 44 HISrORT of the SOCIETY. mould employ. This view of inrtincT: is fimple : It removes every objection to the exiftence of mind in brutes, and unfolds all their actions by referring them to motives perfectly fimilar to thofe by which man is actuated. There is perhaps a greater difference between the mental powers of fome animals, than be- tween thofe of man and the mod fagacious brutes. Inftincts may be confidered as fo many internal fenfes, of which fome animals have a greater, and others a fmaller number. Thefe fenfes, in different fpecies, are likewife more or lefs ductile ; and the animals poflefling them are, of courfe, more or lefs fufceptible of improving, and of acquiring knowledge. THE notion that animals are machines, is therefore too ab- furd to merit refutation. Though not endowed with mental powers equal to thofe of man, they pofTefs, in fome degree, eve- ry faculty of the human mind. Senfation, memory, imagina- tion, the principle of imitation, curiofity, cunning, ingenuity, devotion, or refpect for fuperiors, gratitude, are all difcoverable in the brute-creation. Every fpecies too has a language, either of founds or geftures, fufficient for the individuals to commu- nicate their wants to each other ; and fome animals under- ftand in part the language of man. The language of infants is nearly on a par with that of brutes. Brutes, without fome portion of reafon, could never make a proper ufe of their fenfes. But many animals are capable of balancing motives, which is a pretty high degree of reafon. Young animals examine all ob- jects they meet with, and in this inveftigatton they employ all their organs. The firft periods of their life are dedicated to fludy. When they run about and make frolicfome gambols, it is nature fporting with them for their inftruction. Thus they gradually improve their faculties, and acquire an inti- mate knowledge of the objects that furround them. Men who, from peculiar circumftances, have been prevented from ming- ling with companions, and engaging in the different amufe- ments and exercifes of youth, are always awkward in their movements, HISTORY of the SOCIETY. 45 movements, cannot ufe their organs with eafe or dexterity, and 1785. often continue, during life, ignorant of the moft common objects. AT a meeting of the Council of the Royal Society, the fub- Dec- '3- jecl of the Count de WINDISCHGRATZ'S Problem was refumed, fifcbcntrt '" and Mr Commiffioner SMITH read to the Meeting the draught pr° of a letter written by him to the Count, ftating objections to the poffibility of a complete folution of his problem, but inti- mating, at the fame time, that the Royal Society of Edinburgh had agreed to co-operate with the other two Academies, in de- ciding on the merit of all EfTays or Diflertations which mould appear in the competition for the prizes propofed, though they declined to accept of the recompence offered in the Count's letter. The Council approved of Mr SMITH'S letter, a copy of which they requefted of the Author, in order to be preferved among their papers, as he did not incline that it mould be pub- limed in the Tranfa<5lions of the Society. A P P E N- 46 HISTORY of the SOCIETY. APPENDIX. MEMBERS DECEASED. SINCE the inftitution of the Royal Society of Edinburgh, the following Members have died, viz. William Lothian, D. D. fenior Minifter of Canongate. Decem- ber 17. 1783. Sir George Clerk-Maxwell, Baronet, of Penny cuik. January 29. 1784. Matthew Stewart, D. D. Emeritus ProfefTor of Mathematics in the Univerfity of Edinburgh. January 23. 1785. Andrew Cro/bie, Efq; Vice-Dean of the Faculty of Advocates. February 25. 1785. Robert Bruce, Efq; of Kennet, one of the Senators of the Col- lege of Juftice. April 8. 1785. Sir Alexander Dick, Baronet, of Preftonfield. November 10. 1785. Alexander Wilfon, M. D. ProfefTor of Practical Aftronomy in the Univerfity of Glafgow. October 16. 1786. John Hope, M. D. King's Botanift in Scotland, and Profeflbr of Medicine and Botany in the Univerfity of Edinburgh. November n. 1786. Robert Hamilton, D. D. Emeritus Profeflbr of Divinity in the Univerfity of Edinburgh. April 2. 1787. Sir James Hunter-Blair, Baronet, of Dunfkey. July I. 1787. William Irvine, M. D. Lecturer on Chemiftry in the Univerfity of Glafgow. July 9. 1787. THE following BIOGRAPHICAL ACCOUNTS of the three firft of thefe ha've been read at different meetings of the Clafles. I. ACCOUNT APPENDIX. 47 1. ACCOUNT of WILLIAM LOTH UN, D. D. \Readly Mr D^LZEL, March 15, 1784.] TH E cuftom adopted by feveral learned Societies or Acade- demies abroad, which requires, that a profefled panegyric on every one of the Members, after his death, mould firft be read before the Academy, and then printed in the hiflory of their tranfaclions, has not met with a general approbation, ei- ther in England or in this country. For although characters have frequently appeared in the republic of Letters, whofe mining talents have, with fufikient propriety, employed the power of eloquence in their praife, every Member of an Aca" demy cannot be deemed the proper fubjecl: of a laboured enco- mium. The Britifh character, naturally my and referved, is apt to look with an eye of fufpicion, upon any difcourfe that comes decorated with the pompous title of Eloge. BUT though to write a profefled panegyric on every deceafed; Member of our Society might, with reafon, be thought often- tatious and improper ; yet fuch is the merit and juftly acquired literary fame of fome of our number, that, to permit them to fink into the grave, without any public teftimony of our regard, would argue a culpable degree of infenfibility and referve. There are names in our catalogue, whofe praife will be publicly celebrated, and whofe fame will defcend to pofterity, in fpite of the filence which we might think proper, to obferve ; and as they muft (land forward in the Biographical Annals of Great Britain, where can an authentic memorial of them be fo pro- perly preferved as in the Regifters of this Society ? IT, 48 HISTORY of the SOCIETY. IT feems proper alfo, that, at the death, even of every one of the Members, a fhort notice of him fhould be inferted in our Records : Mention ought to be made there of his birth and death, of the remarkable incidents of his life, and the claim he had to be inrolled among the Members of the Royal Society of Edinburgh ; fuch a fhort and fimple account having been previoufly read at a meeting of the Clafs to which he more particularly belonged. BUT whoever has diftinguifhed himfelf in a fuperior degree in the republic of Letters feems to have a claim to higher and more public honours. Nor could the mofl faftidious referve be offended, if the memory of fuch a character were celebrated at an aflembly of the whole Society. THESE obfervations have been fuggefted by the recent lofs of a worthy Member of our Literary Department. And as the omiflion of this firfl opportunity of introducing a practice, which feems fo laudable, might be afcribed to negligence, or to an imperfect difcharge of that truft with which the Society has honoured its Secretaries, I flatter myfelf the Meeting will hear, with indulgence, the following fhort and fimple account of the perfon to whom I have alluded. Account of WILLIAM L 0 THIAN, D. D. fenior Minifter of Canongate, Dr Lothian. . * . . rr-j'ii and Member of this Society, was born in the city or Edinburgh on the 5th of November 1740. Before he was fix years old, he loft his father Mr GEORGE LOTHIA^N, a refpectable Surgeon ; and his mother alfo having died when he was an infant, the charge of his education devolved on other relations. HE had his academical education in the Univerfity of Edin- burgh ; and both during the ufual courfe of Literature and Philofophy, and during his application to the ftudy of Theo- logy, he was diftinguifhed for diligence and promifing talents. THE APPENDIX. 49 THE ftudents inf that Univerfity have long been accuftom- Account of Dr Lothian. ed to form themfelves into Societies, in which they canvafs various fubjects in Literature and Science, with fuch ardour and liberality of fentiment, as tend greatly to their improve- ment, both in knowledge and in public fpeaking. Into feveral of thefe Mr LOTHIAN was admitted, particularly into one which was well known, at that time, by the name of the Belles- Lettres Society ; and many of the Members, who at prefent make a diftinguimed figure in public life, recollect, that he held an eminent place in their eftimation. Mr LOTHIAN was licenfed to preach the Gofpel in October 1762, and ordained Minifter of Canongate in Auguft 1764. As a Preacher, his method of inftruction was fimple and per- fpicuous, his fentiments rational and manly, and his manner unaffected and perfuafive. FOR many years before his death, he was afflicted with an alarming and painful difeafe ; yet he exerted the activity of his mind and the remaining vigour of his conftitution with fuch ef- fect as enabled him to perform all his clerical functions, not only with propriety, but with apparent eafe. He even found leifure to write the Hiftory of the United Provinces of the Netherlands, a part of which work he publifhed in 1780, after having ren- dered it as perfect as the diftrefTed habit of his conftitution would permit. Previous to the appearance of this publication, the Univerfity of Edinburgh had conferred on him the degree of Doctor in Divinity. IN his laft illnefs, which was of long duration, and attended with moft excruciating pain, his patience and fortitude fup- ported his fpirit in an extraordinary degree. He expired on the i yth of December 1783, having only completed the 43d year of his age. HE was married, in the year 1776, to his coufin Mrs ELIZA- BETH LOTHIAN, who furvives him, by whom he has left four fons and one daughter. (G) As 5o HISTORY of the SOCIETY. Account of As a member of the Church of Scotland. Dr LOTHIAN fol- Dr Lothian. lowed, with firmnefs, that courfe of conduct which feemed to him to be the moft proper. And the appearances which he made in the Ecclefiaftical Courts exhibited fuch marks of found underflanding, and fuch firmnefs of mind, as procured him great refpecl. Indeed, his contemporaries and younger bre- thren, among whom his acquaintance was very extenfive, al- ways repofed the higheft confidence in his judgment, his ho- nour and his integrity, and fpoke in the ftrongeft terms of the fincerity and warmth of his friendfhip. WHEN this Society was honoured with a Royal Charter of Incorporation, Dr LOTHIAN was naturally thought of as a pro- per perfon to be inrolled among the number of its Members. But an early death has deprived us of the advantage of his la- bours. BESIDES the above mentioned Hiftory, he publimed two Ser- mons, which are to be found in the fecond volume of a Collec- tion, entitled, The Scotch Preacher, printed at Edinburgh in the year 1776. II. ACCOUNT APPENDIX. sl II. ACCOUNT of Sir GEORGE CLERK-MAXWELL, Baronet. \_Read by Mr JOHN CLERK, junior, July 5. 1784.] SIR GEORGE £Z,E#A:-My/ZJFELL of Pennycuik, Baro- net, one of the Prefidents of the Phyfical Clafs of this So- ciety, was born at Edinburgh on the laft day of October 1715. He was the fourth fon of Sir JOHN CLERK of Pennycuik, one of the Barons of Exchequer in Scotland : His mother was a daughter of Sir JAMES INGLIS of Cramond. His more early ftudies were carried on at the Univerfity of Edinburgh, under the eye of his father, who was himfelf a man of letters, and from whom he appears very early to have caught a ftrong tafle for Natural Hiftory, Antiquities and the Theory of Commerce, particularly in fo far as thefe branches of knowledge related to his own country. He afterwards went to Leyden, where he rimmed his ftudies under the immediate in- fpection of the celebrated BOERHAAVE, who had been the friend of his father ; and, before his return home, he vifited Several parts of France and Germany. AFTER fettling in his native country, his turn of mind led him to ftudy, with great diligence, the commercial interefts of Scotland, and to be zealous and active in promoting them. He applied himfelf to the introduction and encouragement of va- rious home-manufactures. In particular, he eftablifhed, at a confiderable expence to himfelf, the Linen Manufactory at Dumfries. He likewife fet on foot many different projects for working lead and copper mines. In thefe laudable under- takings, the public advantage outweighed with him every other (G 2) confideration > 52 HISTORY of the SOCIETY. cu*" confideration ; for his fchemes were profecuted frequently to the detriment of his private fortune. IN 1755, be addreffed two Letters to the Truftees for Fifhe- ries, Manufactures and Improvements in Scotland, containing Obfervations on the common mode of treating Wool in this country, and fuggefting a more judicious fcheme of manage- ment. Thefe were publiflied, by direction of that Board, in 1756 : And the method there recommended having been uni- verfally followed in practice, has been of real advantage to the public, by improving the quality of Scottifh wool. He like- wife, in 1761, wrote a paper on the Advantages of Shallow Plowing, which was read to the Philofophical Society, and is pub- • limed in the third volume of their EfTays. IN 1741, Mr CLERK was appointed Lord Treafurer's Re- membrancer in Exchequer ; and, when the forfeited eftates were put under the management of Commiffioners in 1752, he was fixed on as a proper perfon to fill a place at their Board. In 1760, he was named one of the Truftees for Fifheries, Ma- nufactures and Improvements : And in 1763, Commiffioner of the Cuftoms in Scotland. His conduct in the difcharge of the public trufts thus com- mitted to him, was fuch as gained him the efteem and confi- dence of his colleagues. The two Boards of Truftees, in par- ticular, often committed affairs of importance to his fole 'ma- nagement ; and he never failed to acquit himfelf to their entire fatisfaclion. Nor was his ability in their bufinefs more remark- able than his delicacy : For fo fcrupulous was he, that though he had juftly acquired confiderable influence at thofe Boards, he was never fufpecled of having once employed it in improper endeavours to ferve his perfonal friends. In the courfe of his duty as a Commiffioner of the Cuftoms, he faithfully improved every opportunity of doing fervice to the Revenue. ONE inftance, among many, deferves particular notice, both as being a proof of the confidence repofed in him by the Board of Cuftoms, APPENDIX. 53 Cuftoms, and as a remarkable public event, in which he was, Account of sir George Clerk. though not oftenfibly, one of the chief actors. For many years before 1764, the Ifle of Man had been a fource of^great hurt to the Revenue, by being under the fovereignty of the family of ATHOL; as it was exempted from duties, and confequently a receptacle for all the fmugglers who frequented the well coafl of Scotland. In 1764, Mr GRENVILLE, who was then Mini- fter, turned his thoughts towards the means of correcting the abufes occafioned by the fituation of the ifland, and applied to the Board of Cuftoms for fuch information as was neceflary to- wards forming a plan for that purpofe. Mr CLERK was ap- pointed by the Board to make a furvey of the -fouth-weft coafl, where the fmugglers from the Ifle of Man landed their goods. He executed the commiflion with great accuracy, and was foon after fent for by the Board of Treafury to make his report. He advifed, that the fovereignty of the ifland fhould be pur- chafed, and the fame laws extended to it by which the reft of the Britifh dominions were regulated, as the moft effectual means of fupprefling the illicit trade. Mr GRENVILLE, from motives of frugality, was at firft extremely averfe to a purchafe of the fovereignty. As the public purfe was then extremely low, and the object: of the purchafe of fo great a value, he pre- ferred a plan, which, together with fome other regulations, was to iiicreafe the number of cruifers on the ftation. He had even gone fo far as to form it into a bill, which he intended to have laid before Parliament, but was at laft prevailed upon to give it up, after a perfeverance of feveral months in the inten- tion ; during which time, Mr CLERK, in many converfations with him on the fubject, laboured to convince him, that, with- out being adequate to its end, it would have loaded the public with a much greater expence than the fum neceflary to pur- chafe the fovereignty. At laft, Mr CLERK'S plan was followed, in almoft every eflential particular, by Adminiftration, and it has been attended with the moft beneficial confequences. The fmuggling 54 HISTORY of the SOCIETY. Account of sir fmuggling trade, though it ftill fubfifts, is now confined ta thofe who are poflefTed of extenfive capitals ; whereas, before this aft of Parliament, every farmer's fervant who could purchafe half a cafk of fpirits, was engaged for his mare. The confequence is, that the whole inhabitants on the fouth-wefl coaft, who had followed fcarcely any other employment than this pernicious traffic, to the entire neglecl of their hufbandry and manufactures, now earn their fubfiftence by a more honefl ap- plication of their induftry. The face of the country, which formerly never could raife a fufficient quantity of grain to fup- port its own inhabitants, is totally changed, and every year it affords a plentiful fupply to the neighbouring counties. Mr CLERK was well acquainted with every branch of Natu- ral Hiftory. To Mineralogy he had paid particular attention, from its immediate connection with his mining operations. His knowledge of Geography was fo full and accurate, that he could defcribe, from memory, almoft any city or remarkable place in the known world. HE was likewife a fkilful engineer and draughtfman, as ap- pears from various roads, bridges, and other public works, in this country, executed under his direction, or on plans which he delineated. Nor were his talents in defigning confined to this more mechanical fpecies of drawing. He could feize and delineate, with uncommon fpirit, every ludicrous expreflion of character ; and his drawings in this line are in great requeft with the curious. His mind had likewife a bent to the army; which, however, was never gratified by adlion, excepting for a few months during the rebellion in 1745. At that time, he joined a military aflbciation of gentlemen, named the York/hire Hunters, who attended the royal army ; and he was, on differ- ent occafions, employed by the Duke of CUMBERLAND, (who knew him well) and, in particular, to conduct the forces to the proper ground for opening the fiege of Carlifle. Mr APPENDIX. 55 Mr CLERK had an excellent tafte for the fine arts, and was felicitous to encourage them. As one inftance of this, he had the principal concern in eftablifhing and procuring an endow- ment for the drawing- fchool in the Univerfity of Edinburgh, where twenty pupils are inftructed gratis in the art of defigning. Thefe are felected from among fuch young people, of either fex, as give figns of genius, who are deflined to apply to thofe profeflions in which a {kill in that art is requifite. This infti- tution has contributed more than any other circumftancc, to the great improvement of ornamental manufactory, which this country has made during the laft twenty years. And whoever recollects the old patterns of carpet, damafk, gauze, and other manufactures of that fort, and compares them with thofe of the prefent day, muft allow the fuperior elegance of defign now exhibited in thofe productions, and which may reafonably be afcribed, in a great meafure, to the happy effects produced by the inftitution we have mentioned. HE married, at a very early period of life, his coufin-german DOROTHY CLERK-MAXWELL, heirefs of Middlebie in Dum- fries-ftiire, by whom he had fix fons and feven daughters, of whom only two fons and two daughters furvived him. He fucceeded to his elder brother Sir JAMES CLERK, in the title of Knight Baronet, in the year 1783. DURING the latter years of his life, his conftitution and fpi- rits fuffered many fevere fhocks from family misfortunes. He loft, within a mort time, three fons, a daughter, and a grandfon, all of whom had arrived at years of maturity, and promifed to be the comfort of his old age. Of thefe, his third fon GEORGE, who had been fome years at the Bar, died in 1776. WILLIAM, his fifth, a Lieutenant in the ift regiment of foot ; ROBERT, his fixth, a Lieutenant in the 56th, and GEORGE CRAIGIE younger of Glendoick, his grandfon, a Captain in the 4oth regi- ment, all perifhed in the fervice of their country, within the period of a few months. The laft mentioned of thefe, in the end 56 HISTORY of the SOCIETT. Account of sir end of 178 1, was killed at the ftorm of New London, juft as he had mounted the rampart j ROBERT died at Gibraltar, about the fame time; and WILLIAM was killed at the fiege of St Chriftopher's, in the beginning of 1782. Thefe four young gen- tlemen were all of the moft promifing expectations ; and it is rarely that one family fuftains fuch accumulated misfortunes. Sir GEORGE'S daughter died of grief for the lofs of her brothers and nephew. In addition to thefe calamities, the moft acute bo- dily pains gradually wafted his conftitution. He bore all his di- ftrefTes with unfhaken fortitude to the laft, and attended to the duties of the public Boards of which he was a Member, with his wonted affiduity and perfeverance, till within a few days of his death, which happened on the 2 pth of January 1784. It will be fortunate for his country, if many are left behind him, as fincerely attached to its welfare, and as active and diiinter- efted in promoting it. III. ACCOUNT APPENDIX. 57 III. ACCOUNT of MATTHEW STEWART, D. D. [Read by Mr JOHN PLATFAIR, April 3. 1786.] THE Reverend Dr MATTHEW STEWART, late Pro- feflbr of Mathematics in the Univerfity of Edinburgh, was the fon of the Reverend Mr DUGALD STEWART, Minifter of Rothfay in the Ifle of Bute, and was born at that place in the year 1717. After having finifhed his courfe at the gram- mar-fchool, being intended by his father for the Church, he was fent to the Univerfity of Glafgow, and was entered there as a ftudent in 1734. His academical ftudies were profecuted with diligence and fuccefs ; and he was fo happy as to be par- ticularly diftinguilhed by the friendfhip of Dr HUTCHESON and Dr SIM SON. With the latter, indeed, he foon became very intimately connected ; for though it is faid, that his predilection for the Mathematics did not inftantly appear on his application to the fludy of that fcience, yet the particular direction of his talents was probably obferved by his mafter before it was per- ceived by himfelf. Accordingly, after being the pupil of Dr SIMSON, he became his friertd ; and during all the time that he remained at the Univerfity of Glafgow, purfuing the ftudies of Philofophy and Theology/ he lived in the clofeft intimacy with that excellent Mathematician, and was inftructed by him in, what might not improperly be called, the arcana of the an- cient Geometry. That fcience was yet involved in fbme de- gree of myftery ; for though the extent of its difcoveries was nearly afcertained, its analyfis, or method of inveftigation, was but imperfectly underftood, and feemed inadequate to the dif- (H) coverics 58 HISTORY of the SOCIETT. coveries which had been made by it. The learning and genius Dr Stewart. J of VIVIANI, FERMAT,HALLEY,and of other excellent Mathema- ticians, had already been employed in removing this difficulty ; but their efforts had not been attended with complete fuccefs. Dr SIMSON was now engaged in perfecting what they had begun, and in rending the encroachments, which he conceived the mo- dern analyfis to be making upon the ancient. With this view, he had already publimed a treatife of Conic Sections, and was now preparing a reftoration of the Loci Plant of APOLLO- NIUS, in which that work was to refume its original elegance and fimplicity. To thefe, and other ftudies of the fame kind, he conftantly directed the attention of his young friend, while he was delighted, and aftonifhed at the rapidity of his pro- grefs. Mr STEWART'S views made it neceffary for him to attend the lectures in the Univerfity of Edinburgh in 1741 j and that his mathematical ftudies might fuffer no interruption, he was introduced by Dr SIMSON to Mr MACLAURIN, who was then teaching, with fo much fuccefs, both the Geometry and the Philofophy of NEWTON. Mr STEWART attended his lectures, and made that proficiency which was to be expected from the abilities of fuch a pupil, directed by thofe of fo great a matter. But the modern analyfis, even when thus powerfully recom- mended, was not able to withdraw his attention from the an- cient Geometry. He kept up a regular correfpondence with Dr SIMSON, giving him an account of his progrefs, and of His difcoveries in Geometry, which were now both numerous and important, and receiving in return many curious communica- tions with refpect to the Loci Plant, and the Porifms of EUCLID. Thefe laft formed the moft intricate and paradoxical fubject in the hiftory of the ancient Mathematics. Every thing concern- ing them, but the name, had periftaed. PAPPUS ALEXANDRINUS has made mention of three books of Porifms written by EU- CLID, and has given an account of what they contained ; but this APPENDIX. 59 this account has fuffered fo much from the injuries of time, that the fenfe of one propofition only is complete. There was no diagram to direct the Geometer in his refearches, nor any general notion of the fubject, or of the form of the propofitions, to ferve as a rule for his conjectures. The taflc, therefore, of re- ftoring thefe ancient books, which DrSiMsoN now impofed on himfelf, exceeded infinitely the ordinary labours of the Critic or the Antiquary ; and it was only by uniting the learning and diligence of thefe two characters, with the fkill of a profound Geometer, that he was at laft fuccefsful in this difficult under- taking. He had begun it as early as the year 1727, but feems to have communicated the whole progrefs of his difcoveries to Mr STEWART alone. WHILE the fecond invention of Porifms, to which more ge- nius was perhaps required than to the firft difcovery of them, employed Dr SIMSON, Mr STEWART purfued the fame fubject in a different, and new direction. In doing fo, he was led to the difcovery of thofe curious and interefting propofitions, which were publifhed, under the title of General Theorems, in 1 746. They were given without the demonftrations ; but did not fail to place their Difcoverer at once among the Geometers of the firft rank. They are, for the moft part, Porifms, though Mr STEWART, careful not to anticipate the difcoveries of his friend, gave them no other name than that of Theorems. They are among the moft beautiful, as well as moft general propofitions known in the whole compafs of Geometry, and are perhaps only equalled by the remarkable Locus to the circle in the fecond book of APOLLONIUS, or by the celebrated theorem of Mr COTES. The firft demonftration of any considerable number of them, is that which was lately communicated to this Society *, though I believe there are few Mathematicians, into whofe hands they have fallen, whofe fkill they have not often exercifed. The unity which prevails among them is a proof, that a fingle, though ex- (H 2) tenfive * By the Reverend Dr SMALL. 60 HISTORY of the SOCIETY. tenfive view, guided Mr STEWART in the difcovery of them all. It feems probable, that, while he aimed at extending Geo- metry beyond the limits it had reached with the ancients, he had begun to confider the Locus ad quatuor rettas, beyond which their analyfis had not reached. With this view, he, no doubt, thought of extending the hypothefes of that problem to their utmoft generality ; that is, to any number of perpendiculars drawn to an equal number of lines, and to any power what- ever of thefe perpendiculars. In doing this, he could not fail to meet with many curious porifms ; for a porifm is nothing elfe than that particular cafe, when the data of a problem are fo related to one another, as to render it indefinite, or capable of innumerable folutions. Thefe cafes, which rarely occur, except in the conftruclion of very general and complicated problems, mud always intereft a Geometer, becaufe they trace out the divifions of his fubjecT:, and are ufually diftinguifhed by an elegance and fimplicity peculiar to themfelves. Such, ac- cordingly, were the propofitions which Mr STEWART now com- municated to the world. He fupprefled his inveftigations, how- ever, which were geometrical, and which, if given with all the precifion required by the forms of the ancient Geometry, would probably have occupied feveral volumes. THE hiftory of thefe geometrical difcoveries has led us to neglect the order of time. For Mr STEWART, while engaged in them, had entered into the Church, and, through the patro- nage of the Earl of BUTE and the Duke of ARGYLE, had ob- tained the living of Rofeneath. It was in that retired and ro- mantic fituation, that he difcovered the greater part of the pro- pofitions that have juft been mentioned. There, alfo, he ufed to receive the vifits of his friend Mr MELVIL, whofe ingenious obfervations in the Phyfical and Literary EJJays, give us caufe to regret that he was fo early taken from the world of fcience *. IN * Obfervations on Light and Colours, Phyf. and Lit. Eflays, vol. ii. art. 4. APPENDIX. 61 IN the fummer of 1746, the Mathematical Chair in the Uni- verfity of Edinburgh became vacant by the death of Mr MAC- LA UR IN. The General Theorems had not yet appeared ; Mr STEWART was known only to his friends ; and the eyes of the public were naturally turned on Mr STIRLING, who then re- fided at Leadhills, and who was well known in the mathemati- cal world. He, however, declined appearing as a candidate for the vacant chair j and feveral others were named, among whom was Mr STEWART. In the end of this year, the General Theo- rems were publifhed, and gave to their Author a decided fupe- riority above all the other candidates. He was accordingly elected ProfeiTor of Mathematics in the Univerfity of Edin- burgh, in the beginning of September 1747. THE duties of this office gave a turn fomewhat different to his mathematical purfuits, and led him to think of the moft fimple and elegant means of explaining thofe difficult propofi- tions, which were hitherto only acceffible to men deeply verfed in the modern analyfis. In doing this, he was purfuing the ob- ject which, of all others, he moft ardently wifhed to attain, viz. the application of Geometry to fuch problems as the alge- braic calculus alone had been thought able to refolve. His fo- lution of KEPLER'S problem was the firft fpecimen of this kind which he gave to the world ; and it was impoffible to have produced one more to the credit of the method he followed, or of the abilities with which he applied it. When the Aftrono- mer, from whom that problem takes its name, difcovered the elliptical motion of the planets, and their equable defcription of areas round the fun, he reduced the problem, of computing the place of a planet for a given time, to that of drawing a line through the focus of an ellipfe, that mould divide the area of the femi-ellipfe in a given ratio. It was foon found, that this problem did not admit of an accurate folution ; and that no more was to be expected, than an eafy and exact approxima- tion. In this, ever fince the days of KEPLER, the Mathema- ticians 62 HISTORY of the SOCIETY. ticians of the firft name had been engaged, and the utmoft re- fources of the integral calculus had been employed. Exit though many excellent folutions had been given, there was none of them at once direct in its method and fimple in its principles. Mr STEWART was fo happy as to attain both thefe objects. He founds his folution on a general property of curves, which, though very fimple, had perhaps never been obferved ; and by a moft ingenious application of that property, he mows how the approximation may be continued to any degree of accuracy, in a feries of refults which converge with prodigi- ous rapidity. Whoever examines this folution will be aftonifh- ed to find a problem brought down to the level of elementary Geometry, which had hitherto feemed to require the finding of fluents and the reverfion of feries ; he will acknowledge the rea- fonablenefs of whatever confidence Mr STEWART may be here- after found to place in thofe fimple methods of inveftigation, which he could conduct with fo much ingenuity and fuccefs ; and will be convinced, that the folution of a problem, though the moft elementary, may be the leaf! obvious, and, though the eafieft to be underftood, may be the moft difficult to be difcovered. THIS folution appeared in the fecond volume of the Eflays of the Philofophical Society of Edinburgh, for the year 1756. In the firft volume of the fame Collection, there are fome other propofitions of Mr STEWART'S, which are an extenfion of a curious theorem in the fourth book of PAPPUS. They have a relation to the fubjecl of porifms, and one of them forms the pift of Dr SIMSON'S Refloration. They are befides very beau- tiful propofitions, and are demonftrated with all the elegance and fimplicity of the ancient analyfis. IT has been already mentioned, that Mr STEWART had form- ed the plan of introducing into the higher parts of mixed Ma- thematics the ftrict and fimple form of ancient demonftration. The profecution of this plan produced the Tratts Phyftcal and Mathematical^ which were publiflied in 1761. In the firft of thefe, APPENDIX. 63 thefe, Mr STEWART lays down the doctrine of centripetal forces, in a feries of propofitions, demonftrated (if we admit the quadrature of curves) with the utmoft rigour, and re- quiring no previous knowledge of the Mathematics, except the elements of plain Geometry, and of Conic Sections. The good order of thefe proportions, added to the clearnefs and fimpli- city of the demonflrations, renders this Tract the beft elementa- ry treatife of Phyfical Aftronomy that is any where to be found. IN the three remaining Traces, our Author had it in view to determine, by the fame rigorous method, the effect of thofe forces which difturb the motions of a fecondary planet. From this he propofed to deduce, not only a theory of the moon, but a determination of the fun's diftance from the earth. The for- mer is well known to be the moft difficult fubject to which Ma- thematics have been applied. Though begun by Sir ISAAC NEWTON, and explained, as to its principles, with fingular fuc- cefs ; yet, as to the full detail and particular explanation of each irregularity, it was left by that great Philofopher, lefs perfect than any other of his refearches. Succeeding Mathematicians had been employed about the fame fubject ; the problem of the Three bodies had been propofed in all its generality, and in as far as regards the motion of the moon, had been refolved by a direct and ac- curate approximation. But the intricacy and length of thefe calculations rendered them intelligible only to thofe, who were well verfed in the higher parts of the Mathematics. This was what Dr STEWART propofed to remedy, by giving a theory of the moon that might depend, if poffible, on Elementary Geo- metry alone, or which mould, at leaft, be the fimpleft that the nature of things would allow. The Tracts were deftined to ferve as the bafis of this investigation. We are not, however, to imagine, that Dr STEWART intended to proceed in the fame direct manner that CLAIRAULT, and fome other Geometers, had done. It is not probable, that he believed this to be with- in 64 HISTORY of the SOCIETY. Dr Stewart *n *^e power of pure Geometry. His defign undoubtedly was, to purfue that method of approximation which Sir ISAAC NEWTON had begun, and which CALLENDRINI, MACHIN and WALMSLEY had greatly improved; and, by ufing the methods of Geometry, he hoped to reduce the problem to its ultimate fimplicity. Such an undertaking was worthy of a great Geo- meter, and of a Philofopher, who confidered that one of the chief obftruclions to the advancement of knowledge, is the difficulty of fimplifying that knowledge, which has already been acquired. We muft regret, therefore, that the decline of Dr STEWART'S health, which began foon after the publication of the Tracts, did not permit him to purfue this investigation. THE other objecT: of the Tracts was to determine the diftance of the fun, from his effect in difturbing the motions of the moon. The approach of the tranfit of Venus, which was to happen in 1761, had turned the attention of Mathematicians to the folution of this curious problem. But when it was confidered, of how delicate a nature the obfervations were from which that folution was to be deduced, and to how many acci- dents they were expofed, it was natural, "'that fome attempt fhould be made to afcertain the dimenfions of our fyftem, by means lefs fubjecl to difappointment. Such accordingly was the defign of Dr STEWART; and his enquiries into the lunar irregularities had furnifhed him with the means of accom- plifhing it. THE theory of the compofition and refolution of forces enables us to determine what part of the folar force is employ- ed in difturbing the motions of the moon ; and, therefore, could we meafure the inftantaneous effect of that force, or the number of feet by which it accelerates or retards the moon's motion in a fecond, we fhould be able to determine how many feet the whole force of the fun would make a body, at the diftance of the moon, or of the earth, defcend in a fe- cond, and, confequently, how rmich the earth is, in every in- ftant, APPENDIX. 65 ftant turned out of its rectilineal courfe. Thus, the curvature of the earth's orbit, or, which is the fame thing, the radius of that orbit, that is, the diftance of the fun from th| earth, would be determined. But the fact is, that the inftantaneous effects of the fun's difturbing force are too minute to be mea- fured ; and that it is only the effect of that force, continued for an entire revolution, or fome confiderable portion of a re- volution, which Aftronomers are able to obferve. THERE is yet a greater difficulty which embarraffes the folution of this problem. For, as it is only by the difference of the forces exerted by the fun on the earth and on the moon, that the mo- tions of the latter are difturbed, the farther off the fun is fup- pofed, the lefs will be the force by which he difturbs the moon's motions ; yet that force will not diminifli beyond a fixed limit, and a certain difturbance would obtain, even if the diftance of the fun were infinite. Now the fun is actually placed at fo great a diftance, that all the difturbances, which he produces on the lunar motions are very near to this limit, and therefore a fmall miftake in eftimating their quanti- ty, or in reafoning about them, may give the diftance of the fun infinite, or even impoffible. But all this did not deter Dr STEWART from undertaking the folution of the problem, with no other affiftance than that which Geometry could afford. In- deed, the idea of fuch a problem had firft occurred to Mr MACHIN, 1 who, in his book on the Laws of the Moon's Motion, has juft mentioned it, and given the refult of a rude calculation, (the method of which he does not explain) which affigns 8" for the parallax of the fun. He made ufe of the motion of the nodes, but Dr STEWART confidered the motion of the apogee, or of the longer axis of the moon's orbit, as the irregularity' beft adapted to his purpofe. It is well known, that the orbit of the moon is not immoveable, but that, in confequence of the difturbing force of the fun, the long- er axis of that orbit has an angular motion, by which it (I) goes 66 HISTORY of the SOCIETY. Soes back about three degrees in every lunation, and completes an entire revolution in nine years nearly. This motion, though very remarkable and eafily determined, has the fame fault, in refpe<5t of the prefent problem, that was afcribed to the other irregularities of the moon ; for a very fmall part of it only de- pends on the parallax of the fun; and of this Dr STEWART, as will afterwards appear, feems not to have been perfectly aware. THE propofitions, however, which defined the relation be- tween the fun's diftance and the mean motion of the apo- gee, were publifhed among the Tracts in 1761. The tranfit of Venus happened in that fame year : the Aftronomers re- turned, who had viewed that curious phenomenon from the mod diftant ftations j and no very fatisfadlory refult was ob- tained from a comparifon of their obfervations. Dr STEWART then refolved to apply the principles he had already laid down; and, in 1763, he publifhed his eflay on the fun's di- ftance, where the computation being actually made, the paral- lax of the fun was found to be no more than 6". 9. and his di- ftance, of confequence, almoft 29875 femidiameters of the earth*. A DETERMINATION of the fun's diftance, that fo far exceed- ed all former eftimations of it, was received with furprife, and the reafoning on which it was founded was likely to be fubjecl:- ed to a fevere examination. But, even among Aftronomers, it was not every one who could judge in a matter of fuch diffi- cult difcuffion. Accordingly, it was not till about five years after the publication of the Sun's Diftance, that there appeared a pamphlet under the title of Four Proportions, intended to point out certain errors in Dr STEWART'S inveftigation, which had given a refult much greater than the truth. A difpute in Geometry was matter of wonder to many, and perhaps * About 118,541,428 Englilh miles. APPENDIX. 67 perhaps of fatisfaction to fome, who envied that fcience the certainty of its conclufions. On account of fuch, it muft be obferved, that there are problems fo extremely difficult, that, in the folution of them, it is poflible only to approximate to the truth j and that, as in Arithmetic, we neglect thofe fmall frac- tions, which, though of inconfiderable amount, would exceed- ingly embarrafs our computations ; fo, in Geometry, it is fome- times neceflary to reject thofe fmall quantities, which would add little to the accuracy, and much to the difficulty of the in- veftigation. In both cafes, however, the fame thing may hap- pen j though each quantity thrown out may be inconfiderable in itfelf, yet the amount of them altogether, and their effect on the lad refult, may be greater than is apprehended. This was jufl what had happened in the prefent cafe. The problem to be re- folved is, in its nature, fo complex, and involves the eftimation of fo many caufes, that, to avoid inextricable difficulties, it is neceffary to reject fome quantities, as being fmall in comparifon of the reft, and to reafon as if they had no exiftence. Dr STEWART, too, it muft be confefTed, had an additional motive for wifhing to fimplify his inveftigation. This was, his refolu- tion, to employ in it no other method than the Geometrical, which, however excellent in other refpects, is inferior to Alge- bra, for the conducting of very complicated reafonings. The fkill of this moft profound and experienced Geometer, could not remedy that defect ; and he was reduced to the neceffity of rejecting quantities, which were confiderable enough to have a great effect on the laft refult. An error was thereby introduced, which, had it not been for certain compenfations, would have become immediately obvious, by giving the fun's diftance near three times as great as that which has been mentioned. THE Author of the pamphlet, referred to above, was the firft who remarked the dangerous nature of thefe fimplifications, and who attempted to eftimate the error to which they had (I 2) given 68 HISTORY of the SOCIETY. Siven rife- In tllls laft> however, he has not completely fuc- ceeded ; and that, too, by committing a miftake fnnilar to that which he cenfured in Dr STEWART, and by rejecting quanti- ties not lefs than fome which he retained. He obferved, how- ever, what produced the compenfation that has been taken no- tice of, viz. the immenfe variation of the fun's diftance, which correfponds to a very fmall variation of the motion of the moon's apogee. It is doubtful, whether Dr STEWART was fully apprifed of this circumftance j becaufe the geometrical method, elegant and beautiful as it is, rarely prefents a gene- ral view of the relations, which the magnitudes it treats of bear to one another ; and many of thefe relations may, there- fore, efcape the moft profound Geometer, which an Algebraift, of more ordinary abilities, would not have failed to difcover. THERE are other of this Author's ftriclures, which we can- not admit as juft, but which we will not attempt here, either to enumerate or refute. Yet it were doing great injuftice to his remarks not to acknowledge, that, befides being juft in the points already mentioned, they are, every where, ingenious, and written with much modefty and good temper. The Au- thor, who concealed his name, and permits it now, for the firft time, to be publicly mentioned, was Mr DAWSON, a fur- geon at Sudbury in Yorkfhire ; a man, as it mould feem, who might have enjoyed more of the fame, had he been lefs fatis- fied with the pofTeffion of knowledge. A SECOND attack was foon after this made on the Sun's Di- Jlancc, by Mr LANDEN j but by no means with the fame good temper which has been remarked in the former. He fancied to himfelf errors in Dr STEWART'S inveftigation, which have no exiftence ; he exaggerated thofe that were real, and feemed to triumph in the difcovery of them with unbecoming exulta- tion. If there are any fubjedls on which men may be expected to reafon difpaflionately, they are certainly the properties of number APPENDIX. 69 number and extension ; and whatever pretexts Moralifts or Di- Account of . . . Dr Stewart., vines may have for abufing one another, Mathematicians can lay claim to no fuch indulgence. The afperity of Mr LAN- DEN'S animadverfions muft not, therefore, pafs uncenfured, though it be united with found reafoning and accurate difcuf- fion. The error into which Dr STEWART had fallen, though before taken notice of by Mr DAWSON, was firft exactly deter- mined in the work before us *. But Mr LANDEN, in the zeal of correction, brings many other charges againft Dr STEWART, the greater part of which feem to have no good foundation. Such are his objections to the fecond part of the inveftigation, where Dr STEWART finds the relation between the difturbing force of the fun, and the motion of the apfides of the lunar orbit. For this part, inftead of being liable to objection, is de- ferving of the greateft praife, fince it refolves, by Geometry alone, a problem which had eluded the efforts of fome of the ableft Mathematicians, even when they availed themfelves of the utmoft refources of the integral calculus. Sir ISAAC NEW- TON, though he aflumed the difturbing force very near the truth, computed the motion of the apfides from thence only at one half of what it amounts to in reality ; and fo, had he been required, like Dr STEWART, to invert the problem, he would have committed an error, not merely of a few thoufandth parts, as the latter is alleged to have done, but would have brought out a refult double of the truth f. MACHIN and CALLENDRINI, when commenting on this part of the Prlici- pia, found a like inconfiftency between their theory and obfer- vation. Three other celebrated Mathematicians, CLAIRAULT, D'ALEMBERT and EULER, feparately experienced the fame dif- ficulties, * IT is but juftice to remark, that Mr LANDEN had probably never feen Mr DAWSON'S Proportions at the time his own were published, the whole impreflion of them, almofr, having been burnt by a fire which confumed the warehoufe where they were lodged. f Prin. Math. lib. 3. prop. 3. 70 HISTORY of the SOCIETY. ficulties, and were led into an error of the fame magnitude. It is true, that, on refuming their computations, they found, that they had not carried their approximations to a fufficient length, which when they had, at laft, accomplimed, their re- fults agreed exactly with obfervation. Mr WALMSLEY and Dr STEWART were, I think, the firft Mathematicians, who, employing in the folution of this difficult problem, the one the algebraic calculus, and the other the geometrical method, were led immediately to the truth ; a circumftance fo much for the honour of both, that it ought, by no means, to be forgotten. It was the bufmefs of an impartial critic, while he examined our Author's reafonings, to have remarked, and to have weighed thefe confiderations. WE may add, that the accurate meafurement of the fun's di- ftance, and the complete theory of the moon's motions, with which fcience has been enriched, fince the time to which we now refer, fufficiently vindicate the principle of Dr STEWART'S inve- ftigation, and (how how much reafon he had to expect, that the former might be inferred from the latter with confiderable ex- aclnefs. M. MAYER, from one of the lunar irregularities, com- putes the fun's parallax to be 7". 8, nearly a mean between the parallax already mentioned, and that which has been deduced from the tranfit of Venus in i 769 *. ON the whole, therefore, while it muft be acknowledged, that Dr STEWART'S determination of the fun's diftance is, by no means, free from error, it may fafely be afTerted, that it con- tains a great deal which will always intereft Geometers, and al- ways be admired by them. Few errors in fcience are redeemed by the difplay of fo much ingenuity, and what is more fingu- lar, of fo much found reafoning. The inveftigation is every where elegant, and will, probably, be long regarded as a fpeci- men of the mod arduous enquiry which has been attempted by mere Geometry ; at the fame time, the miflake into which the geometrical method has betrayed this great Mathematician, will ferve * Theoria Lunue, fetf. 51. APPENDIX. 71 ferve as a proof that it is not equal to fuch difficult refearches ; and that in thofe cafes, efpecially, where approximation is to be ufed, it is neceflary to facrifice the rigour of the ancient de- monftration for the accuracy of the modern analyfis. THE Suns Dijlance was the lad work which Dr STEWART publifhed ; and though he lived to fee the animadverfions made on it, that have been taken notice of above, he declined enter- ing into any controverfy. His difpofition was far from pole- mical ; and he knew the value of that quiet, which a literary man mould rarely fuffer his antagonifts to interrupt. He ufed to fay, that the decifion of the point in queftion was now before the public ; that, if his investigation was right, it would never be overturned, and that, if it was wrong, it ought not to be defended. A FEW months before he publifhed the Eflay jufl mention- ed, he gave to the world another work, entitled, Propojitiones Geometrica More Veterum Demonftratce. This title, I have been told, was given it by Dr SIMSON, who rejoiced in the publica- tion of a work fo well calculated to promote the ftudy of the ancient Geometry. It confifts of a feries of geometrical theorems, for the moft part, new ; invefligated, firft, by an analyfis, and afterwards fynthetically demonftrated by the in- verfion of the fame analyfis. In the former, the propofition to be inveftigated is fuppofed true ; from thence confequences are deduced, and the reafoning is carried on till fome confequence is drawn that is already known to be true. A neceflary con- nection is thus traced between the propofition that was fuppofed true, and another that is certainly known to be fo ; and, thus, an ingenious method is laid down for making the knowledge of any truth fubfervient to the difcovery of its demonflration. This method made an important part in the analyfis of the ancient Geometers ; but few examples of it have been pre- ferred in their writings, and thofe in the Propofitiones Geometric*?, are, on that account, the more valuable. Dr 72 HISTORY of the SOCIETY. • ^r STEWART'S conftant ufe of the geometrical analyfis had put him in poffeflion of many valuable proportions, which did not enter into the plan of any of the works that have been • enumerated. Of thefe, not a few have found a place in the writings of Dr SIMSON, where they will for ever remain, to mark the friendship of thefe two Mathematicians, and to evince the efteem which Dr SIMSON entertained for the abilities of his pupil. In the preface to his Conic Sections, in which he acknowledges, that all the theorems, diflinguifhedby the letter x, were commu- nications from Dr STEWART, he calls him, " egregix indolis et " peritise virum ;" and in that to his Porifms, after pointing out many proportions that had been fuggefted by PAPPUS, and a few that had been adopted from, PERM AT, he adds," Alia " quasdam adjecta funt quorum praecipua mihi propofuit, et " aliquorum conftrudlionem dedit eximius Geometra MAT- " THJEUS STEWART, a quo materia hsec jam egregie eft ex- " culta, poftea, ut fpero, multum excolenda." THERE is alfo a theorem of Dr STEWART'S publifhed in Dr SIMSON'S edition of EUCLID'S Data, which I take notice of, chiefly as it affords me an opportunity of paying a tribute to the memory of a man, whofe high rank did not prevent him from cultivating a fcience, which it enabled him to patronize. In the note, where Dr SIMSON acknowledges that communication, he mentions another theorem, alfo publifhed among the Data ', " Thefe proportions (fays he) were communicated to me by " two excellent Geometers, the firft by the Earl STANHOPE, the " fecond by Dr MATTHEW STEWART." To this Nobleman, for whofe abilities and worth Dr STEW- ART entertained the higheft refpect, he made a vifit in the courfe of a tour through England, foon after the pub- lication of the Effay on the Sun's Diflance, and received from him very fingular marks of attention. At a later pe- riod, when he lamented the lofs of Dr SIMSON, he had the confolation APPENDIX. 73 confolation to fee a lading monument raifed to the fame of his friend, by the munificence of Lord STANHOPE, who, by the publication of Dr SIMSON'S pofthumous works, has obliged the - world with a reparation of the moft curious fragment of the Greek Geometry. SOON after the publication of the Sun's Dlftance, Dr STEW- ART'S health began to decline, and the duties of his office be- came burdenfome to him. In the year 1772, he retired to the country, where he afterwards fpent the greater part of his life, and never refumed his labours in the Univerfity. He was, however, fo fortunate as to have a fon, to whom, though very young, he could commit the care of them with the greateft con- fidence. Mr DUGALD STEWART, having begun to give lectures for his father from the period above mentioned, was elected joint ProfefTor with him in 1775, and gave an early fpecimen of thofe abilities, which have not been confined to a fingle fcience. AFTER mathematical ftudies (on account of the bad date of health into which Dr STEWART was now falling) had ceafed to be his bufinefs, they continued to be his amufement. The analogy between the circle and hyperbola had been an early ob- ject of his admiration. The extenfive views which that analo- gy is continually opening ; the alternate appearance and dif- appearance of refemblance in the midft of fo much diffimili- tude, make it an object that aftonifhes the experienced, as well as the young Geometer. To the confideration of this analogy, therefore, the mind of Dr STEWART very naturally returned, when difengaged from other fpeculations. His ufual fuccefs ftill attended his investigations ; and he has left, among his papers, fome curious approximations to the areas, both of the circle and hyperbola. For fome years toward the end of his life, his health fcarcely allowed him to profecute ftudy even as an amufement. He died January 23. 1785, at the age of 68. (K) THE 74 HISTORY of the SOCIETY. habits of ftudy, in a man of original genius, are ob- jects of curioiity, and deferve to be remembered. Concerning thofe of Dr STEWART, his writings have made it unneceflary to remark, that, from his youth, he had been accuftomed to the mod intenfe, and continued application. In confequence of this application, added to the natural vigour of his mind, he re- tained the memory of his difcoveries in a manner that will hardly be believed. He rarely wrote down any of his invefti- gations, till it became necefTary to do fo for the purpofe of publication. When he difcovered any propofition, he would put down the enunciation with great accuracy, and, on the fame piece of paper, would conftrudl very neatly the figure to which it referred. To thefe he trufted for recalling to his mind, at any future period, the demonftration, or the analyfis, however complicated it might be. Experience had taught him, that he might place this confidence in himfelf without any danger of difappointment j and for this fingular power, he was probably more indebted to the activity of his invention, than the mere tenacioufnefs of his memory. THOUGH he was extremely ftudious, he read few books, and verified the obfervation of M. D'ALEMBERT, that, of all the men of letters, Mathematicians read leaft of the writings of one another. His own inveftigations occupied him fufficient- ly ; and, indeed, the world would have had reafon to regret the mifapplication of his talents, had he employed, in the mere ac- quifition of knowledge, that time which he could dedicate to works of invention. IT was his cuftom to fpend the fummer at a delightful re- treat in Ayrfliire, where, after the academical labours of the winter were ended, he found the leifure neceflary for the pro- fecution of his refearches. In his way thither, he frequently made a vifit to Dr Si MS ON at Glafgow, with whom he had lived from his youth in the moil cordial and uninterrupted friend- ihip. A P P E N'D I X. 75 {hip. It was pleafmg to obferve, in thefe two profound Mathe- maticians, the moft perfect efteem and affe&ion for each other, and the moft entire abfence of jealoufy, though no two men ever trode more nearly in the fame path. The fimilitude of their purfuits, as it will ever do with men fuperior to envy, ferved only to endear them to one another. Their fentiments and views of the fcience they cultivated were nearly the fame ; they were both profound Geometers ; they equally admired the ancient Mathematicians, and were equally verfed in their methods of inveftigation j and they were both apprehenfive, that the beauty of their favourite fcience would be forgotten for the lefs elegant methods of algebraic computation*. This innovation they endeavoured to oppofe ; the one, by reviving thofe books of the ancient Geometry which were loft ; the other, by extending that Geometry to the moft difficult enqui- ries of the moderns. Dr STEWART, in particular, had remark- ed the intricacies, in which many of the greateft of the modern Mathematicians had involved themfelves in the application of the calculus, which a little attention to the ancient Geometry would certainly have enabled them to avoid. He had ob ferved, too, the elegant fynthetical demonftrations that, on many oc- cafions, may be given of the moft difficult propofitions, invefti- gated by the inverfe method of fluxions. Thefe circumftances had, perhaps, made a ftronger impreffion than they ought, on a mind already filled with admiration of the ancient Geometry, and produced too unfavourable an opinion of the modern ana- lyfis. But, if it be confefled, that Dr STEWART rated, in any refpeft too high, the merit of the former of thefe fciences, (K. 2) this * ON the reverfe of a miniature picture of Dr SIMSON, now in the pofleflion of Mr Prof. STEWART, is an infcription, written by Dr MOOR, late Profeflbr of Greek at Glaf- gow, an intimate friend of Dr SIMSON, and a great admirer of the ancient Geometry: GEOMETRIAM, SUB TYRANNO BARBARO SAEVA SERVITUTE DIU siyjALENTEM, IN LIBERTATEM ET DBCCS ANTKipUM VINDICAVIT VNH*. Account of Dr Stewart. 76" HISTORT of the SOCIETT. this may well be excufed in the man whom it had conducted to the difcovery of the General Theorems, to the folution of KEP- LER'S Problem, and to an accurate determination of the Suns diflurbing force. His great modefty made him afcribe to the method he ufed, that fuccefs which he owed to his own abi- lities. DONATIONS APPENDIX. 77 DONATIONS prefented to the ROYAL SOCIETY of Edinburgh. [N. B. The numbers refer to the order in which the articles are deposited in the Mufeum of the Univerfity of Edinburgh.] By his Grace the Duke of Buccleugh. The Head, Horns and Bones of the BISON Scoticus, found in a peat-mofs upon the Duke's eflate in Roxburghshire* No. i. — 4. By Dr Alexander Monro. Thirty-eight coloured Drawings of Birds, of the fouthern he- mifphere. No. 5. — 42. The Head and Horns of the Arnee, from Bengal. No. 43. By the Honourable Lord Dunjinnan. A painting in oil, of the Head and Horns of an Elk, found in a marl-pit in Forfarihire. No. 44. By the Honourable Lord Hailes. A large Mafs of the Rock at Gibraltar, containing Bones. No. 45. The Ear of a Whale, from Greenland. No. 46. The Head of a Fifh, petrified. No. 47. The Vertebra of three different fpecies of animals, petrified. No. 48. 49. 50. GloJJopetra, belonging to two different fpecies of Shark. No. 51. 52. Two cruftaceous animals petrified. No. 53. 54. Three lions. 78 HISTORY of the SOCIETT. Lift of Dona- Three different fpecies of Echinus petrified. No. 55. 56. 57. Four different fpecies of Nautilus petrified. No. 58. — 62. Six different fpecies of turbinated Shells petrified. No. 63. — 68. Ten fpecies of turbinated Shells petrified. No. 69. — 78. Three fpecies of Shells. No. 79. — 8 1 . ' Four fpecies of Madrepore. No. 82. — 85. Red Coral from the Mediterranean. No. 86. Six fpecies of Gorgonia. No. 87. — 92. SPONGIA Aculeata. LIN. No. 93, OSTREA Folium. LIN. No. 94. Two Indian Arrows poifoned. No. 95. By Captain Fairfax of the Navy. Five fpecies of Fifhes from the Spanifh main. No. 96. — 100. By the Reverend Dr Boivmaker, Minifter of Dunfe. Two fpecies of Serpents from Florida. No. 101. 102. By the Right Honourable Lord Daer. A collection of Indian Arms, Apparel and Utenfils, from the South Seas j made during Captain CooKs laft voyage. No. 103. — 177. A collection of Indian Arms, Apparel and Utenfils, and of Na- tural Productions, made in the South Sea iflands, and on the weft coaft of America, by Mr Anderfon, Surgeon to Captain Cook. No. 178. — 274. By the Earl of Hopetoun. A cabinet of Foffils, containing the following articles : Fifty-five fpecies and varieties of antique Marbles. No. 275. — 33$. Six fpecies of Florentine MarBles and other Landfcape Stones. No. 339.— 344. Seventeen fpecies and varieties of the Phengites, or antique Ori- ental Alabafler. No. 345. — 41 1 , Thirty APPENDIX. 79 Thirty-five fpecies and varieties of thofe antique Stones which are called by the Italians Pietre dure. They all belong to the filiceous clafs, and to the following genera : Jafper, Heliotrope, Petrofilex, Sinople, Lazuli, Chalcedony, Agate, Mocbo, Jafper Agate, Egyptian Pebble, Onyx, Sardonyx, and Camea. Nine fpecies of antique Porphyry, Serpentine, and Granite. No. 539.— 554. Earths, three fpecies. No. 555. — 557. Cryftallized Shorls, two fpecies. No. 558. — 565. Garnets, three fpecies. No. 566. — 569. Semipellucid Gems, five fpecies. No. 570. — 574. Steatitical Stones, fix fpecies and varieties. No. 575. — 583* AmiantuS) two fpecies. No. 584. 585. Zeolitical Stones, four fpecies. No. 586.- — 598. Verd d'EcoJ/e, Davila, cat. 2. p. 125. n. 4. No. 599. Nickel and Cobalt, two fpecies. No. 600. — 605.. Cubical Marcafite. No. 606. FERRUM Hematites. (3 nigrum, LIN. No. 607. Grey, black and yellow Ores of Copper. No. 608. — 616. Eight fpecies and varieties of Lead Ores. No. 617. — 636. Varieties of Copper Ore. No. 637. — 643. Varieties of Silver Ores. No. 644. — 660. A large mafs of green antique Jafper polifhed. No. 66 1. An Axe of black Whinftone, fuppofed to have been ufed by the Druids in their facrifices. No. 662. Petrified Corals from Weft Lothian. No. 663. 664. 665. An ancient Amulet, called by the vulgar an Adder Stone. No. 666.. Three fpecies of Indian Nuts. No. 667. 668. 669. Two Goa Stones. No. 670. 671. By John Macgowan, Efqj Edinburgh. GORGONIA Norvegica, the great Norway Sea Shrub. No. 672. CROTALUS Dryinas. LIN. No. 673. Two Lift of Dona- tions. • 8o HIS TORT of the SOCIETY. Two fpecimens of a large Snake from America. No. 674. 675. The Roots of an Oak-tree inofculated. No. 676. By Dr William Cullen. LACERTA Bullaris. LIN. No. 677. Four fpecies of Weft India Infeds. No. 678.— 68 1. Five fpecies of Weft India Serpents. No. 682. — 687. By Mr James Bruce, Edinburgh. Two fpecies of Scots Birds preferved. No. 688. 689. By James Bofwell, Efq; of Auchinleck. A collection of Weft India Animals : Infects, nine fpecies. No. 690. — 698. Lizards, eight fpecies. No. 699. — 707. Serpents, twelve fpecies. No. 708. — 721. By Mr James Dickfon, Bookfeller, Edinburgh. Fourteen Coins of Silver and five of Copper, chiefly Scottifh. By Dr Samoilowitz of St Peterfburgh. Memoire fur la Pejle qui en 1771 ravagea F Empire de RuJJie: Par M. De Samoiloiuitz : And four other fmall publications, rela- tive to the fame fubjecl. i By Mr Thomas Hutchins. Experiments for afcertaining the point of Mercurial Congelation. 8vo. Lond. 1784. By Dr Hutton of Woolwich. Mathematical Tables. 8vo. Lond. 1 785. An authentic Narrative of the DifTenfions and Debates in the Royal Society of London. 8vo. 1784. By Lift of Dona- tions. APPENDIX. 81 By Dr Blane. Obfervations on the Difeafes of Seamen. 8vo. Land. 1785. By Dr Robert Boyd, Judicial Proceedings before the High Court of Jufticiary, &c . 4to. Edin. 1779. By H. F. A. De Rou/el, M. D. and Profeflor of Medi- cine in the Univerfity of Caen. Diflertatio de variis Herpetum Speciebus, &c . 8vo. Cad. 1 779. Recherches fur la petite Verole. 8vo. A Caen 1781. By Joannes-Francifcus Cofte, &c. De Antiqua Medico-Philofophia Orbi novo adaptanda, Oratio habita in Comitiis Univerfitatis Virginiae : Jan. 12. 1782. By M. Dionis du Sejour, of the Royal Academy of Sciences of Paris, fyc. Fraite Analytique des Mouvemens apparent des Corps Celebes. Tom. i. 410. Paris 1786. By M. VAbbe Tre/an, (a Rouen.) EJJat fur la Fluids Elefirique, par feu M. le Comte de Tre/an, (/on Pere.) 2 toms. 8vo. * (L) LI S * Other Donations have been received, a Lift of which is referved for Vol.. II. APPENDIX. 83 January i. 1788. LIST of nil the MEMBERS or FELLOWS of the ROYAL SOCIETY of Edinburgh. I. MEMBERS upon the Lift at the firft meeting of the PHYSICAL CLASS, Nov. 3. and of the LITERARY CLASS, Nov. 17. 1783. [JV. B. * prefixed denote" a Member formerly of the PHILOSOPHICAL SOCIETY, and f a Member now deceafed. P added denotes of the PHYSICAL CLASS, and L of the LITERARY CLASS.] i. RESIDENT MEMBERS. « A. Alexander Abercrombie, Efq; Advocate. L. * "James Anderfon^ LL. D. P. B. * Mr Benjamin Bell, Surgeon. P. * JrfePb Black, Al. D. Profeffor of Medicine and Chemiftry in the Univerfity of Edinburgh. P. Hugh Blair ', D. D. Emeritus Profeflbr of Rhetoric and Belles Lettres in the Univerfity of Edinburgh. L. Robert Blair, Efq; Advocate. L. Jobn Bruce, M. A. Profeflbr of Logic in the Univerfity of Edinburgh. L. \ Robert Bruce, Efq; of Kennet, one of the Senators of the College of Juflice. P. George Buchan-Hepburn, Efq; Advocate. L. (L 2) Hay Refident Mem- bers. 84 HISTORY of the SOCIETT. C. Hay Campbell^ Efq; now Lord Advocate. L. John Campbell^ Efq; of Stonefield, one of the Senators of the College of Juftice. L. * f Sir George Clerk-Maxwell, Baronet, of Pennycuik. P. John Clerk) Efq; now Sir John Clerk , Baronet, of Pennycuik. P. John Clerk) Efq; of Eldin. P. William Craig, Efq; Advocate. L. * f Andrew Crojb'ie, Efq; Advocate. P. * Henry Ctillen, M. D. Phyfician to the Royal Infirmary. P. Robert Cullen, Efq; Advocate. Z,. * William Cullen, M. D. Profeflbr of the Praftice of Phyfic in the Univerfity of Edinburgh. P. D. Sir John Dalrymple> Baronet, one of the Barons of the Exche- quer. P. Andrew Dalzel, M. A. Profeflbr of Greek in the Univerfity of Edinburgh. L. John DavidfoH) Efq; Clerk to the Signet. Z.. f Sir Alexander Dick) Baronet, of Preftonfield. P. * Andrew Duncan, M. D. Phyfician to his Royal Highnefs the Prince of Wales. Right Hon. Henry Dtindas, now Treafurer of the Navy. L. f Right Hon. Robert Dundas of Arnifton, Lord Prefident of the Court of Seflion. L. || Robert DundaS) Efq; Advocate, now his Majefty'.s Solicitor- General of Scotland. L. E. James Edgar , Efq; Commiflioner of the Cufloms. Z,. David Erjkine, Efq; Clerk to the Signet. L. Colonel James Edmond/loune) of Newton. Adam j| Died Dec. 13. 1787, after the Lift of Deceafed Members was printed. See above, p. 46. APPENDIX. 85 V 77 Refident Mem* bers. * A 'Jam Fergufon, LL. D. Emeritus ProfefTor of Philofophy in the Univerfity of Edinburgh. L. George FerguJ/bn, Efq; Advocate, one of the Commiflaries of Edinburgh. P. James FerguJJon, Efq; of Pitfour, Advocate. L, Major-General John Fletcher- Campbell, L. Sir William Forbes, Baronet, of Pitfligo. L. Major Andrew Frafer. P. G. * John Gardiner, M. D. Edinburgh. P. Cofmo Gordon, Efq; one of the Barons of Exchequer. L. * Sir James Grant, Baronet, of Grant. P. William Greenjield, M. A. Profeflbr of Rhetoric in the Univer- fity of Edinburgh. P. * James Gregory, M. D. ProfefTor of the Theory of Phyfic in the Univerfity of Edinburgh. P. Right Hon. John Grieve, Lord Provoft of Edinburgh. L. H. Alexander Hamilton, M. D. Profeflbr of Midwifery in the Uni- verfity of Edinburgh. P. * James Hamilton, M. D. Phyfician to the Royal Infirmary. P. f Robert Hamilton, D. D. Emeritus Profeflbr of Divinity in the Univerfity of Edinburgh. L. Robert Henry, D. D. one of the Minifters of Edinburgh. L. John Hill, "A. M. now LL. D. Profeflbr of Humanity in the Univerfity of Edinburgh. L. * Francis Home, M. D. Profeflbr of Medicine and of Materia Medica in the Univerfity of Edinburgh. P. George Home, Efq; one of the Clerks of the Court of Seifion. L. John Home, Efq; of KildufF. L. John 85 HISTORY of the SOCIE7T. Mem- * .j- j^ fj0pe^ M> D< p-. R. s. LoND. King's Botanift in Scotland, and Profeflbr of Medicine and of Botany in the Univerfi- ty of Edinburgh. P. David Hume, Efq; Advocate, and now Profeflbr of Scots Law in the Univerfity of Edinburgh. L. Andrew Hunter, D. D. Profeflbr of Divinity in the Univerfity of Edinburgh. L. •\ James Hunter-Blair, Efq; afterwards Sir James Hunter-Blair^, Baronet. L. * James Hutton, M. D. Edinburgh. P. K. * Alexander Keith, Efq; Clerk to the Signet. P. L. j- William Lothian, D. D. Jen'wr Minifter of Canongate. L. M. * Allan Maconochie, Efq; Advocate, Profeflbr of Public Law in the Univerfity of Edinburgh. L. * John Macgoivati, Efq; P. John Macfarlan, D. D. Minifter of Canongate, and Almoner to his Majefty. L. Henry Mackenzie, Efq; L. John Maclattrin, Efq; Advocate ; now one of the Senators of the College of Juftice. L. William Macleod-Bannatyne, Efq; Advocate. L. Right Hon. 'Thomas Mille r of Barfkhnming, Lord Juftice Clerk ; now Lord Prefident of the Court of Seflion. L. * William Miller, Efq; of Glenlee, Advocate. L. Right Hon. James Montgomery, Lord Chief Baron of Ex- chequer. L. * Alexander Monro, M. D. Profeflbr of Medicine, and of Anato- my and Surgery in the Univerfity of Edinburgh. P. William APPENDIX. 87 \ William Morehead, Efq; L. Jjtaiii«5 * Jo/fo Morthland, Efq; Advocate. Z» N. William Nairne, Efq; of Dunfinnan, Advocate ; now one of the Senators of the College of Juftice. L. Fletcher Norton, Efq; one of the Barons of Exchequer. P. * John Playfair, M. A. now ProfefTor of Mathematics in the Univerfity of Edinburgh. P. John Pringle, Efq; Advocate. L. Mark Pringle, Efq; Advocate. L. R. David Rae, Efq; of Efkgrove, one of the Senators of the College of Juftice. L. James Robertfon, D. D. Profeflbr of Oriental Languages in the Univerfity of Edinburgh. L. William Robert/on, D. D. Principal of the Univerfity of Edin- burgh. L. William Robertfon, Efq; Advocate. L. * John Robifon, M. A. Profeflbr of Natural Philofophy in the Univerfity of Edinburgh. P. Adam Rolland, Efq; Advocate. L. * Mr James Rufelt, Surgeon. P. * John Ru/ell, Efq; Clerk to the Signet. L. * Daniel Rutherford, M. D. now King's Botanift in Scotland, and Profeffor of Medicine and of Botany in the Uni- verfity of Edinburgh. P. S. * Mr William Smellie, Printer in Edinburgh. P. * Adam Smith, LL. D. F. R. S. LOND. Gommiflioner of the Cuftoms in Scotland. Z,. John 88 HISTORY of the SOCIETT. Men- * jobn Steedman, M. D. Edinburgh. L. * Charles Stuart, M. D. P. David Stewart- Moncriejf, Efq; one of the Barons of Ex- chequer. P. * Dugald Stewart, M. A. formerly Profeflbr of Mathematics, now of Moral Philofophy, in the Univerfity of Edin- burgh. P. * f Matthew Stewart, D. D. Emeritus Profeflbr of Mathematics in the Univerfity of Edinburgh. P. * Alexander Frafer-Tytler, Efq; Advocate, Profeflbr of Civil Hi- flory, and of Greek and Roman Antiquities, in the Uni- verfity of Edinburgh. L. William Tytler, Efq; of Woodhoufelee, Clerk to the Signet. L. W. * John Walker, D. D. M. D. Regius Profeflbr of Natural Hi- ftory, and Keeper of the Mufeum in the Univerfity of Edinburgh. P. George Wallace, Efq; Advocate. P. * Andrew Wardrop, M. D. Edinbxirgh. P. V. James Veitch, Efq; of Elliock, one of the Senators of the College of Juftice. Z,. 2. NON-RESIDENT MEMBERS. A. * William Alexander, M. D. London. P. * John Amyatt, Efq; King's Chemift, London. P. John Anderfon, M. A. F. R. S. LOND. Profeflbr of Natural Philofophy in the Univerfity of Glafgow. P. Mr APPENDIX. 89 * Mr Thomas Anderfon, Surgeon, Leith. P. Archibald Arthur, M. A. Profeffor of Moral Philofophy in the University of Glafgow. L. B. His Grace Henry Duke of Bucckugb. L. Right Hon. John Earl of Bute. P. * Mr William Barron, Profeffor of Logic in the Univerfity of St Andrew's. L. James Beattie, LL. D. Profeffor of Logic and Moral Philofo- phy, Marifchal College, Aberdeen. L. * Gilbert Blane, M. D. F. R. S. LOND. Phyfician to St Thomas's Hofpital, London. P. Ebenezer Brownrigg, M. D. Cumberland. P. * Patrick Brydone, Efq; F. R. S. LOND. * James Byres, Efqj Architect at Rome. C. George Campbell, D. D. Principal of Marifchal College, Aber- deen. L. Alexander Carlyle, D. D. Minifter of Inverefk, and Chaplain in ordinary to his Majefty. L. John Chalmers, D. D. Principal of King's College, Aberdeen. L. William Chalmers, M. D. Profeffor of Medicine, King's College, Aberdeen. P. Mr John Cook, Profeffor of Moral Philofophy in the Univer- . fity of St Andrew's. L. Patrick Copland, M. A. Profeffor of Mathematics, Marifchal College, Aberdeen. P. * Mr Alexander Ctimming, Watchmaker, London. P. Patrick Cummin, M. A. Profeffor of Oriental Languages in the Univerfuy of Glafgow. L. | (M) Alexander 90 HISTORY of the SOCIETY. Non-Refident r\ Memben. Alexander Donaldfon, A. M. Profeflbr of Oriental Languages, Marifchal College, Aberdeen. P. James Dunbar, LL. D. Profeflbr of Philofophy, King's Col- , Aberdeen. L. F. Sir Adam FerguJJbn, of Kilkerran, Baronet, LL. D. L. Robert Findlay, D. D. Profeflbr of Divinity in the Univerfity of Glafgow. Z,. James Flint, M. D. Profeflbr of Medicine in the Univerfity of St Andrew's. P. G. Alexander Gerard, D. D. Profeflbr of Divinity, King's College, Aberdeen. L. James Gillefpie, D. D. Principal of New College, St An- drew's. L. Thomas Gordon, A. M. Profeflbr of Philofophy, King's College, Aberdeen. L. Henry Grieve, D. D. Minifter of Dalkeith, and Chaplain in or- dinary to his Majefly. L. H. Robert Hamilton, LL. D. Profeffor of Natural Philofophy, Marifchal College, Aberdeen. P. William Hamilton, M. D. Profeflbr of Anatomy in the Univer- fity of Glafgow. P. George Hill, A. M. now D. D. Profeflbr of Divinity in the Univerfity of St Andrew's. L. John Hunter, A. M. Profeflbr of Humanity in the Univerfity of St Andrew's. L. • George APPENDIX. 91 T Non-Refidcut Members. George Jardine, M. A. ProfefTor of Logic in the Univerfity of Glafgow. L. f William Irvine, M. D. Ledlurer on Chemiftry in the Univerfity of Glafgow. P. L. John Lejlie, A. M. Profeflbr of Greek, King's College, Aber- deen. Zi. * James Lind, M. D. Haflar Hofpital. P. * James Lind, M. D. Windfor. Reverend Mxjohn Logan, formerly Minifter of South Leith. L. * Andrew Lumifden, Efq; M. Jofeph MfCormlck, D. D. Principal of the United College of St Salvator and St Leonard, St Andrew's. L. Hugh M'Leod, D. D. Profeflbr of Church Hiftory in the Uni- verfity of Glafgow. Z,. Roderick M'Leod, A. M. Sub-Principal of King's College, Aberdeen. P. John Main, D. D. Minifter of Newton. L. * Donald Monro, M. D. London. P. * John Mudie, M. D. Montrofe. P. O. William Ogilvie, A. M. Profeflbr of Humanity, King's College, Aberdeen. P. R. William Ricbardfon, A. M. Profeflbr of Humanity in the Uni- verfity of Glafgow. L. Thomas Reid, D. D. Emeritus Profeflbr of Moral Philofophy in the Univerfity of Glafgow. L. (M 2) ' Reverend 92 HISTORY of the SOCIETY. M°em£n'dent Reverend Mr Thomas Robertfon, Minifter of Dalmeny. L. * John Roebuck, M. D. Kinneil. P. John Rofs, M. A. Profeflbr of Oriental Languages, King's CoHege, Aberdeen. P. S. George Skene, A. M. Profeflbr of Natural Hiftory, Marifchal College, Aberdeen. P. Robert Small, D. D. Minifter of Dundee. P. f Hary Spens, D. D. Profeflbr of Divinity in the Univerfity of St Andrew's. L. || * Edward Stevens, M. D. Barbadoes. P. * Alexander Stevenfon, M. D. Profeflbr of Medicine in the Uni- verfity of Glafgow. P. * Reverend Mr John Stewart, Minifter of Lufs. L. George Stuart, LL. D. Emeritus Profeflbr of Humanity in the Univerfity of Edinburgh. L. Right Hon. James Stuart-Mackenzie, Lord Privy-Seal. John Stuart, A. M. Profeflbr of Greek, Marifchal College, Aberdeen. L. T. * William Trail, D. D. Prebendary of Down. P. V. I Nicholas Vilant, M. A. Profeflbr of Mathematics in the Univer- fity of St Andrew's. P. W. James Williamfon, D. D. Profeflbr of Mathematics in the Uni- verfity of Glafgow. P. * f Alexander Wilfon, M. D. Profeflbr of Pradical Aftronomy in the Univerfity of Glafgow. P. Reverend { Died Nov. 27. 1787, after the Lift of Deceafed Members was printed. See above, p. 46. APPENDIX. 93 Reverend Charles Wilfon, D. D. Profeflbr of Hebrew in the Univerfity of St Andrew's. L. Patrick Wilfon, A. M. and now Profeflbr of Practical Aftrono- my in the Univerfity of Glafgow. P. * William Wright, M. D. from Jamaica. P. Y. John Young, A. M. Profeflbr of Greek in the Univerfity of Glafgow. L. 3. FOREIGN MEMBERS. ' Honorary. Foreign Mem- bers. * M. le Comte de Buffon, * Father Giam Batifla Beccaria, Profeflbr of Natural Philofophy in the Univerfity of Turin. * M. le Comte de Carburi, firft Profeflbr of Medicine in the Uni- verfity of Turin. * M. Fougeroux de Bondaroy, of the Royal Academy of Sciences, Paris, and of the Inftitute of Bologna. * Benjamin Franklin, Efq; LL. D. * William Franklin, Efq; f M. le Comte de Lauraguais. * John Rogerfon, M. D. firft Phyfician to the Emprefs of Ruflia. ' M. Sue, fenior, of the Royal Academy of Surgery at Paris. Ordinary. * P. Camper, M. D. Holland. * Lionel Chalmers, M. D. South Carolina. * Matthew Gut brie, M. D. St Peterfburg. * Lorentz Crell, M. D. Profeflbr of Chemiftry at Helmftadt. * Alexander Gordon, M. D. South Carolina. MEMBERS -94 HISTORY of the SOCIETY. II. MEMBERS chofen fince the firft Meetings of the Clafles. THE following were elected at the General Meeting of the Society, Jan. 26. i 784, all Ordinary Members : i. RESIDENT. Sir David Carnegie, of Southeik, Baronet. L. Sir James Hall, of Dunglafs, Baronet. P. John Clerk, Efq; junior, of Eldin, Advocate. P. John Dryfdale, D. D. one of the Minifters of Edinburgh, Prin- cipal Clerk of the Church of Scotland, and Chaplain in or- dinary to his Majefty. L. Mr William Creech, Bookfeller in Edinburgh. L. 2. NON-RESIDENT. Thomas Hutchins, Efq; Secretary to the Hudfon's Bay Company, London. P. John Moore, M. D. London. P. Mr Matthew Boulton, of Birmingham. P. Mr James Watt, of Birmingham. P. Robert Fall, Efq; of Dunbar. L. Right Hon. Archibald Earl of Dundonald. P. Nevil Majkelyne, D. D. Aftronomer-Royal. P. James Robert/on, M. D. of Oxford. L. John Grieve, M. D. P. The Reverend Mr Archibald Alifon. L. Sir John Henderfon, of Fordell, Baronet. L. 3. FOREIGN. M. Sue, junior, of the Royal Academy of Surgery, Paris. P. P. Sim. Pallas, M. D. of the Imperial Academy of St Peterf- burg. P. M. APPENDIX. 95 M. And. Jo. Lexell, ProfefTor of Aftronomy at St Peterfburg. P. M. le Clerc de Sept Chenes, Secretary of the Chamber and Clofet to his Moft Chriflian Majefty, Paris. L. THE following were elected at the General Meeting, June 28. Members choren, 07 J June 18.1784. 1 784, all Ordinary Members : v i. RESIDENT. Reverend Mr Robert Walker, Minifter of Canongate. L. Henry Brougham, Efq; of Brougham-hall. L. 2. NON-RESIDENT. Robert Lifton, Efq; LL. D. his Britannic Majefty's Minifter at the Court of Madrid. L. Reverend Mr Matthew Murray, Minifter of North-Berwick. L. Right Hon. Edmund Burke. L. Reverend Mr Walter Young, Minifter of Erfkine. L. THE following were elected at the General Meeting, June 24. Members chofen, 1785, all Ordinary Members : i. RESIDENT. Robert Arbutbnot, Efq; Secretary to the Board of Truftees. L. 2. NON-RESIDENT. Right Hon. George Earl of Morton. P. Right Hon. Dunbar Earl of Selkirk. L. Right Hon. the Lord Daer. P. The Honourable Charles Greville. L. Sir William Hamilton, Knight of the Bath. P. James Ramfay, Efq; of Auchtertyre. P. Benjamin 96 HISTORY of the SOCIETY. Benjamin Vaughan, Efq; of London. P. George Young, M. D. Phyfician to the Military Hofpital in the Weft Indies. P. James Hare, M. D. Eaft Indies. P. THE following were eledled at the General Meeting, Jan. 23. 1786, all Ordinary Members : i. RESIDENT. Robert Blair, M. D. Regius Profefibr of Practical Aftronomy in the Univerfity of Edinburgh. P. Alexander Millar, Efq; Advocate. L. • 2. NON-RESIDENT. Right Hon. James Earl of Hopetoun. L. Right Hon. the Earl of Ancram. L. Sir Robert Murray-Keith, Knight of the Bath. /,. Colonel William Fullarton of Fullarton, F. R. S. LOND. Z,.1 Thomas A/lie, Efq; F. SS. R. & A. LOND. Keeper of the Records in the Tower of London. L.. Charles Hutton, LL. D. F. R. S. LOND. ProfcfTor of Mathematics in the Military Academy at Woolwich. P. Handyfide Edgar, M. D. Jamaica. P. •Memberschofen, THE following were elected at the General Meeting, Jan. 22. jM.M.i787.' j^g^ an Ordinary Members : i. RESIDENT. William Stewart, Efq; Advocate. L. George Brown, Efq; Commiflioner of the Cuftoms. L. James Home, M. D. Edinburgh. . P. James APPENDIX. 97 James Finlajfon, A. M. Profeflbr of Logic in the Univerfity of Edinburgh. L. 2. NON-RESIDENT. James Playfair, D. D. Minifter at Meigle. L. Adair Crawford, M. D. Phyfician to St Thomas's Hofpital, Lon- don. P. Thomas Perchal, M. D. F. R. S. LOND. at Manchefter. P. John Haygarth, M. B. F. R. S. LOND. at Chefter. P. 3. FOREIGN. M. k President de Firfy, Dijon. P. John Bawunin, Efq; of Ruflia. L. (N) OFFICE- g8 ffTSfORr of tie SOCIETT. OFFICE-BEARERS of the SOCIETY. General office- GENERAL OFFICE-BE \RERs, ekdled at the firfl and fecond General Meetings, holden June 23. and Auguft 4. 1783. Prefident. Etis Grace the Duke of BUCCLEUGH. Vice-Prefidents. Right Hon. Henry Dundas. \ 7^o.M/7/^r,Efq;Ld.Juflice-Clerk. Secretary. Treafurer. Mr John Robifon, \ Mr Alexander Keith. Counfellors. Dr Alexander Monro» Dr John Hope. Dr Jofeph Black. Dr James Huttnn. Mr Dugald Stewart. Mr John Playfair. Mr Baron Gordon* Lord Elliock. Major- Gen. Fletcher-Campbell. Mr Commiflioner Smith. Dr Adam Fergufon. Mr John Maclaurin. OFFICE-BEARERS of the two CLASSES, elected at the Meetings, Nov. 3. and Nov. 17. 1783. PHYSICAL CLASS. Prefidents. Sir James Grant, Bart. I Sir G. Clerk- Maxwell, Bart. * Dr William Cullen. \ Dr Francis Home. Secretaries. Dr James Gregory. \ Dr John Walker. LITE- * March I. 1784, Dr Alexander Monro was elefted a Prefident of the Phyfical Clafs in the room of Sir George C/eri deceafed. A P P E N-D 1 X. 99 LITERARY CLASS. Prefidents. flay Camp&elI,}LCq}'Ld. Advocate. I Lord Elliocl. Dr William Robertfon. \ Dr Hugh Blair. Secretaries. t **• Mr Alexander Frafer-Tytkr. \ Mr Andrew Dalzel. THE fame OFFICE-BEARERS were continued by re-election till Nov. 27. 1786, when, in confequence of a new regulation, all the Office- Bearers were elected on that day, the election to be continued, at a General Meeting annually, upon the laft Mon- day of November. OFFICE-BEARERS of the Society, elected for the enfuing year, Nov. 27. 1786, and re-elected Nov. 26. 1787. Prefident. His Grace the Duke of BUCCLEUGH. Vice-Prefidents . Right Hon. Henry Dundas. \ Lord Dunjinnan. Secretary. Mr John Robifon. Dr James Hutton. Mr George FerguJ/on. Mr Benjamin Bell. Mr Dugald Stewart. Mr John Playfair. Dr Daniel Rutherford. I Treafurer. Mr Alexander Keith. Counfellors. Lord Elliock. Major-Gen. Fletcher-Campbell. Mr Commiflioner Edgar. Mr William Miller. Dr Adam Fergttfon. Mr John Maclaurin» PHYSICAL General Office* Bearers. ioo HISTORY of the SOCIETY. Office-Bcarers PHVSK-AT PTAQQ oftheClafles. , rHYSlCAL ^LASS. Prefidents. Dr William Cullen. i Dr Alexander Monro. Dr Francis Home. \ Dr Jofeph Black. Secretaries. Dr James Gregory. \ Dr John Walker. LITERARY CLASS. Prefidents. Mr Baron Gordon. Mr Commiffioner Smith. Dr William Robertfon. Dr Hugh Blair. Secretaries. Mr Alexander Frafer-Tytler. \ Mr Andrew Dahel. END OF THE H I S T 0 R T. TRANSACTIONS OF THE ROYAL SOCIETY OF EDINBURGH. V O L. I. P A R T II. PAPERS READ BEFORE THL SOCIETY. I. PAPERS OF 'THE PHYSICAL CLASS. I. E x P E R I M E N T s on the Motion of the SAP in TREES. By JOHN WALKER, D.D. M. D. F. R. S. EDIN. and Regius Pro- fejjbr of Natural Hi/lory in the Univerjity of EDINBURGH. \Readby the Author , Dec. 8. 1783, and Jan. 5. 1785.] THE difcovery of the circulation of the blood in animals was foon followed by conjectures concerning the exiftence of a like circulation in the fap of vegetables. Thefe conjectures gave rife to the firft improvements in vegetable phyfiology, which may be dated from the appearance of a fet of queries concerning the motion of the juices of plants, publimed in the Philofophical Tranfactions, anno 1668. Thefe queries im- mediately engaged Dr BEALE and Dr TONGE, and afterwards Dr GREW, Mr WILLOUGHBY, Mr RAY, and Dr LISTER, to en- ter upon the fubjec*l ; who, in a great variety of obfervations, ftruck out the firft confiderable difcoveries in the vegetable ceco- nomy. THEIR obfervations, however, fell fhort either of proving or difproving a circulation of the fap : Nor have the difcoveries of a variety of Philofophers, fince that time, been able to demon- ftrate either fide of the queftion ; which ftill remains a contro- verted and undetermined point in the hiflory of vegetation. To trace the progrefs of the fap, in the way of experiment, feems to be the only method by which we can expect to arrive at 4 On the MOT '10 N of at a fatisfaclory folution of this intricate queftion. For this purpofe, thofe trees which are faid to bleed are the moft conve- nient ; or thofe which, at a certain feafon of the year, have fuch an exuberance of fap, that it flows freely from them upon a flight incifion. PLINY* mentions twice the bleeding of the mulberry ; but he fpeaks of it as an extraordinary phenomenon, and feems to have been unacquainted with the bleeding of the vine. The trees of this fort are indeed more frequent in the cold than in the warmer climates. Some trees of our own country do not bleed, fuch as the oak, a/hr elm, a/pen, hazel \ and hawthorn. Of thofe that bleed, the birch and the plane are the moft remarkable ; and upon thefe the experiments here re- lated were performed. IN the laft age, the following important query was propofed on this fubject by Dr LISTER f : " WHETHER or not does the fap begin to move in all the parts " of a tree at a time?" FIFTY years afterwards, this queftion, ftill unrefolved, was again refumed by Dr HALES :£, who, in arguing againft the cir- culation of the fap, exprefles himfelf thus : " IF, fays he, early in the fpring, the oak, and feveral other " trees, were to be examined near the top and bottom, when the " fap firft begins to move, fo as to make the bark eafily run or " peel off, I believe it would be found, that the lower bark " would be firft moiftened ; whereas the bark of the top-branches " ought firft to be moiftened, if the fap defcends by the bark." OF late years, M. BONNET, when reafoning in favour of a circulation, and againft this fuppofition of Dr HALES, delivers the following remarks : " Is it eafy, fays he, exadlly to fix the time when the fap " begins to rife in trees ? That fluid rifes at firft in very fmall " quantity ; * Nat. Hift. lib. xvi. cap. 38. — Lib. xxiii. cap. 7. f Philof. Tranf. anno 1671, p. 2122. J Vegetable Staticks, vol. i. p. 141. fbe SAP in TREES, 5 " quantity ; its progrefs is always rapid ; it fpeedily reaches the " tops of the branches, from whence it quickly pafles again to- " wards the roots *." BUT after the doctrine of the circulation of the fap has been agitated for above a century paft ; after fo many obfervations, and fuch lengthened philofophical difcuffions upon the fubjecl: ; is it not furprifmg that this enquiry, firft darted by Dr LISTER, and fince fuggefled by Dr HALES, mould have been fo much overlooked, and mould ftill remain undetermined by experiment, when it is evidently the previous and leading enquiry on the fubjea ? M. BONNET, indeed, in the above paffage, feems to think, that the decifion of this queflion by experiment mufl be ex- tremely difficult, if not impracticable. But that this is far from being the cafe, will appear from the fequel of the prefent paper. THE principal experiment here recorded was therefore made, in order to know whether all the parts of a tree bleed at once, or by fucceffion : How far the afcent and diffufion of the fap depends on the temperature of the air : To trace the route which it obferves, and to obtain fatisfaction concerning what is called its recidivatioTiy and in feveral other particulars relative to its movement. FROM this experiment alfo, fome light was expelled concern- ing a noted problem in vegetation, Why the terminating buds of trees are the firft which are difclofed in the fpring. THE tree on which this experiment was made, was a vigorous young birch, thirty feet high, and its ftem twenty-fix inches in circumference at the ground. ON the i ft of February, there was a hole bored in the trunk of this tree, clofe by the ground, and one of its branches cut at the extremity, in order to difcover when and where the running of the fap would firft appear. This was repeated every fecond * BONNET fur 1'Ufage des Fcuilles, p. 284. 6 On the MO TlO N of fecond day till the jth of March, during which time the tree at both places was always dry. MARCH 5. FAHRENHEIT'S Thermometer, at noon, in the made, 46. j at midnight, 38. ON this day, which had been preceded by the three warmefl days fince the ift of February, when an incifion was made in the trunk of the birch, juft by the ground, I now found a moifture in the wood, not to be perceived before, which made my finger fenfibly wet ; but there was no more moifture in the bark than formerly. The extremities of the branches were cut, and found likewife dry. NOTE i. THIS day, twenty-one triangular and equilateral inci- fions were cut in the trunk of the tree, on the north fide. The bafe of thefe triangles was an inch long, and the inci- fion itfelf an inch deep, both the bark and wood being taken out. Thefe incifions reached from the ground to the height of twenty feet, and were exactly one foot diftant from each other. 2. BY incifion, when not otherwife defcribed in thefe experi- ments, is meant a fedlion through the bark into the wood. 3. WHEN an incifion does not communicate any fenfible moifture to the finger, it is faid to be dry ; and moift, when it makes the finger fenfibly wet. By bleeding is meant fuch a copious flow of the fap as is fufEcient to form a drop or ftream from an incifion. 4. BY the fap is meant the lymph, the watery or alimental fap of a tree, and not any peculiar, proper, or venal juice ; be- ing the general fluid from which the peculiar milky, gummy, or refinous juices of trees are formed by fecretion, and in a way fimilar to the fecretion of the different animal fluids from the general mafs of blood. MARCH Tbt SAP in 7REES. 7 MARCH 8. Thermometer, at noon, 44. ; at midnight, 35. THE loweft incifion upon the tree was moift in the wood, as on March 5. but the bark was dry, and no moifture appeared in any of the upper incifions. EXPERIMENT i. This day, I cut the extremities of one of the branches. Both wood and bark were dry as formerly; but the fap ifTued vifibly between the wood and bark. It flood in finall globules, but was not fufficient to form any drop. COROLLARY i. Here it appears, as it did on feveral other oc- cafions, that the fap rifes between the wood and the bark to the extremities of the branches, before it reaches thofe parts either by the wood or the bark ; yet it is denied by Dr GREW and M. BONNET, that the fap ever afcends at all between the wood and the bark. MARCH 9. Thermometer, at noon, 45. ; at midnight, 38. MARCH i o. Thermometer, at noon, 46. ; at midnight, 40. LITTLE farther change was obferved on thefe days ; only the loweft incifion upon the tree was more moift than formerly, and the fecond incifion, a foot higher, began likewife to appear moift. The fap alfo between the wood and the bark in the young branches was ftill more vifible, while the wood and bark them- felves were dry. MARCH 11. Thermometer, at noon, 49. ; at midnight, 44. THIS day, the loweft incifion upon the tree at the ground, and the fecond, a foot above it, did, for the firft time, begin to bleed. The third incifion was only moift, and all above it were dry, as formerly, 8 On tbe MOTION (/ formerly ; only {hewing a little more moiflure between the wood and bark. OBSERVATION i. The fap then on this clay, which was the warmefl fince the ift of February, with bright fun-fhine, had rifen a foot, or a little more, in the trunk of the tree, fo as to bleed at an incifion. OBS. 2. At this incifion, a foot from the ground, the fap flowed only from the wood. The bark, which was of a confiderable thicknefs, was quite dry, and not a drop was formed till the wood was penetrated. The moiflure between the wood and bark was indeed confiderable, but not fufficient to bleed. EXP. 2. This day incifions were made upon another birch, which was found to bleed copioufly, both in its trunk and branches. The fap, therefore, in this tree was farther advanced, by feve- ral days, than in that which was the chief objecT: of our ex- periments. The latter rofe in one trunk, and flood in a thin foil and expofed fituation. The former was a younger tree, had a great number of luxuriant fuckers, confequently more vigorous roots, and was placed in a deep rich foil, in a low warm part of the wood. To thefe differences may be attri- buted the more forward afcent of the fap in this tree above the other. EXP. 3. A little pafl fix o'clock in the evening, when the fun was fet, the two incifions which bled at mid-day were dried up ; nor did the fap ifTue at a new incifion made a foot from the ground. But an incifion made at that height in the other tree, through which the fap was wholly difFufed, flill bled. MARCH 12.' Thermometer, at noon, 49. j at midnight, 41. THE two loweft incifions bled as on the former day ; and the third incifion, two feet from the ground, began to bleed for the firfl time ; but the fourth incifion, and thofe above it, were flill dry, as were all the branches. OBS. 3. SAP in TREES. 9 OBS. 3. When the birch is in a bleeding ftate, no fap iflues upon incilion, till the knife has penetrated through the bark. The fap then appears in fuch plenty, between wood and bark, as to run ; and runs (till more plentifully if the incifion paffes into the wood. But not a drop of fap can be made to ifTue from the bark, whatever way it is cut. OBS. 4. It appears, that, in the beginning of the bleeding feafon, when the thermometer, at noon, is about 49. or between 46. and 50. and at midnight about 42. or between 40. and 44. that the fap rifes about one foot in twenty-four hours, in the trunk of the birch, if not formerly raifed by a greater heat. BY other trials, it was found, that, in the fame feafon, when the thermometer, at mid-day, is about 45. and, at midnight, about 38. the fap then afcends only about one foot in two days ; and that it does not afcend at all unlefs the mid-day heat is above 40. MARCH 13. THE incifion one foot high bled ; but the incilion two feet high, and all above it, were dry. Thermometer, at noon, 44. ; at midnight, 42. OBS. 5. It is here obfervable, that the incifion two feet high was this day dry, although it had bled the day before. The caufe is obvious from the thermometer. The cold of 41. during the preceding night, had bound up the fap ; and the heat of 44. during the day, was not able to make it bleed at the height to which it had been advanced by the heat of 49. on the pre- ceding day. MARCH 14. Thermometer, at noon, 48. ; at midnight, 45. THIS day the fourth incifion, at the height of. three feet, be- gan to bleed ; the fifth was moift, but all above it were dry as formerly. B OBS. 6. io On the MO ? 1 0 N of OBS. 6. The incifion, one foot from the ground, bled in the even- ing, more than an hour after the two incifions above it were dried up. OBS. 7. This day, the bark would not peel off the young branches of the tree ; but the epidermis feparated more freely from the bark than formerly. MARCH 15. Thermometer, at noon, 52. j at midnight, 44. Thermometer, at noon, in the fun, 67. THE fifth incifion, four feet high, bled for the firfl time; but the fixth incifion, and all above it, ftill refufed to bleed ; yet the fixth was more moifl than formerly, efpecially between wood and bark. OBS. 8. It was now found, that the incifions did every day ceafo to bleed upon the removal of the fun, the uppermofl giving over firft, and the reft fucceflively downwards. The fap had now rifen in the tree to the height of four feet. The fifth incifion ceafed to bleed this day at three in the afternoon. The four incifions below it gave over bleeding one after ano- ther, and were all dry at five o'clock ; the fun having become clouded, and the thermometer fallen to 44. MARCH 16. Thermometer, at noon, 47. ; at midnight, 37. THE five loweft incifions bled as on the former day ; but the fixth ftill continued dry. COR. 2. It appears, that the fap will not rife much higher by the heat of 47. than it did on the preceding day by the heat of 52. but will maintain its afcent, and bleed at the fame height* MARCH the SAP in TREES. n MARCH 17. Thermometer, at noon, 44. ; at midnight, 42. THE four lower incifions bled this day. The fifth, which had bled on the two preceding days, was only moift. COR. 3. When the thermometer falls to 44. the fap cannot run at the fame height at which it ran when the thermometer was at 47. • OBS. 9. It was now obferved, and always found to be the cafe afterwards, that each incifion bled fparingly at firft, and more plentifully as the fap afcended higher. The moft copious flow of the fap was always from the loweft incifions. When the birch tree, therefore, is to be pierced, in order to procure a large quantity of its fap, it will be found proper to make the incifions as near the ground as poflible. MARCH 18. Thermometer, at noon, 47. 3 at midnight, 42. THE five lower incifions bled, as on the former days ; but the fixth ftill continued dry. OBS. 10. The fap, by the temperature of the air, is capable of remaining long ftationary. During the four laft days, it flood nearly at the height of four feet, without afcending farther. Ift another experiment, the fap continued ftationary for five days, at the height of two feet, the thermometer, during that time, never being above 43. at noon, nor above 36. at midnight. MARCH 19. Thermometer, at noon, 48. ; at midnight, 41. Thermometer, at noon, in the fun, 65. THE fixth incifion did this day bleed for the firft time ; the fe- venth was moift, and the reft dry. But though the incifions in the trunk above the fixth, and fome that were made in the branches, did not bleed ; yet they did all along gradually and vifibly increafe in moifture. B 2 COR. 4, 12 On the MO TlO N of COR. 4. Hence we find, that a tree does not become fuddenly re- plete with fap, as has been generally thought. The fap does not mount into a tree by one, but by feveral fucceflive tides. The moft copious of all thefe, and the mod remarkable, is that which brings on the bleeding. It is this tide, whofe pro- grefs we trace in the prefent experiment ; but it is evidently pre- ceded by feveral lefTer ones, which communicate a moifture to the tree, though not in fuch quantity as to bleed. THAT a degree of fap afcends in trees immediately upon the fal- ling of their leaves, appears from the vegetation of catkins, during winter, upon the birch, the alder, and the hazel. But in autumn, the trees are left fo devoid of fap, by the expence of the former fummer and the fall of the leaf, that it is not till fpring, and the return of a fufEcient degree of heat, that they become fo impregnated with fap as to be capable of bleeding. MARCH 20. Thermometer, at noon, 44. ; at midnight, 43. THE fifth incifion bled, and thofe below it ; but the fixth, which had bled the day before, and all above it, were dry. EXP. 4. On this day, and on feveral other occafions, an incifion made on the fouth fide of the tree bled always more plen- tifully than an incifion at the fame height on the north fide. COR. 5. The ligneous circles in the trunks of trees are common- ly eccentric, the centre of the circles being placed at a diftance from the centre of the tree. M. DU HAMEL afcribes this ec- centricity to the cafual infertion of roots, and the irruption of branches, which determines the fap to move in greater abun- dance on one fide of the tree than another. And it is unque- ilionable that this fometimes happens. But when the centre of thefe circles (lands nearer the north than the fouth fide of the tree, and the circles themfelves on the fouth fide are con- fiderably broader than thofe on the north, which is ufually the The SAP in 7 RE ES. 13 the cafe, the eccentricity is to be afcribed to a different and more general caufe, which is pointed out in the above experi- ment. FOR as there is a more copious flow of the fap on the fouth than on the north fide of trees, owing to the one being more in the fun, and the other in the made, this muft naturally affect the fhape of their trunks ; the fap on the fouth fide being more plentiful, there the growth of the wood muft, of courfe, be more confiderable. And this again fuggefts the reafon, why the wood on the north fide of a large tree is often found harder and more durable than that on the fouth fide ; becaufe it is of a flower growth, and confequently of a more eompaxfl- ed fubflance. MARCH 21. Thermometer, at noon, 48. ; at midnight, 43. Thermometer, at noon, in the fun, 60. THE feventh incifion bled to-day for the firft time ; the eighth was a little moift, but all above it were ftill dry. OBS. ii. So far up as the tree bled, which was now fix feet, the bark feparated eafily from the wood, and a great deal of moi- flure appeared between them. Above this, the fpace between the wood and bark grew gradually drier, and the bark was, with more difficulty, feparable from the wood. Upon many trials, it was found, that, in the birch, the bark feparates from the wood upon the fap's afcent, and not before; nor any higher than where the fap will ftream upon incifion; and that wherever the tree will bleed, there the bark not only parts eafily from the wood, but the epidermis feparates rea- dily from the bark, the teguments of the bark from one ano- ther, the alburnum both from bark and wood, and even the ligneous circles are rendered eafy to be detached from one another. COR. 6, 14 On the MOTION of COR. 6. As the afcent of the fap thus renders all the ftrata of a tree eafily feparable j and as this is the cafe in the lower parts of the tree, fo far as the fap has afcended, while thefe parts remain firmly attached to one another in the upper parts of the tree, to which the fap has not afcended j it is therefore evident, though contrary to what is generally fuppofed, that this phenomenon is occafioned by the fap in its afcent, and not by any return of the fap downwards from the extremities of the tree. COR. 7. As the ligneous circles, during the afcent of the fap, do thus fubfift in a loofe and unconnected ftate, the felling of timber, during that period, ought by all means to be avoided. This period of the fap's afcent varies jconfiderably in different trees. In the plane, it may be dated from the 25th of December to the 25th of March ; in the birch, from the i ft of March to the 26th of April ; in the oak, from the 20th of March to the ift of June j and it would be of ufe, were the period of the afcent of the fap afcertained in like manner in the other foreft trees. The oaks, which are cut for their bark in April and May, during the afcent of the fap, afford a foft and perifhable timber, compared to thofe which are cut in the depth of winter. And the fame is the cafe with all the plane-trees cut in the months of January and February, com- pared to thofe which are cut in the month of November. To obtain timber in its greateft perfection, I believe it cannot be cut too foon after the fall of the leaf, as it is then in its moft faplefs ftate, and the ligneous circles more firmly compacted than at any other feafon. MARCH 22. Thermometer, at noon, 45. ; at midnight, 40. THE feven lower incifions bled as on the former day ; the eighth was wet, but all the upper ones remained dry. OBS. 12. The SAP in TREES. 15 OBS. 12. On the day an incifion began to bleed, the one imme- diately above it .appeared always moifter than formerly. This moifture appeared firft, and in greateft quantity, between the wood and bark, and always {hewed itfelf firft on the loweft fide of the incifion. OBS. 13. At whatever height an incifion bled, all the incifions below it conftantly did fo at the fame time. MARCH 23. Thermometer, at noon, 46. ; at midnight, 42. Thermometer, at noon, in the fun, 68. THE eighth incifion, which was feven feet high, bled for the firft time ; the ninth was moift, but all above it dry. OBS. 14. At 7- feet high flood the firft branch upon the tree, marked A*, which was about three feet long. It was this day cut at the extremity, and was found very moift, but not fo as to form a drop. The next branch above it, marked B, was placed eight feet high, and was eight feet long. This, being alfo cut at the extremity, was found drier than the former. MARCH 24. Thermometer, at noon, 47. j at midnight, 35. THIS day the ninth incifion began to bleed ; the tenth was moift, but thofe above it dry as formerly. EXP. 5. The fap having now mounted to the juncture of feveral branches, the branches B and C were cut at the extremity, but without bleeding. The branch D was alfo cut at the ex- tremity, and, in like manner, refufed to bleed. But when this branch was bent down into the perpendicular direction D E, and kept fo bent by the cord G H, the incifion at the extremity did then begin to bleed, and in five minutes con- tinued to drop. Yet the branch below it C, that remained in its lateral pofition, had its incifion at the extremity ftilldry. COR. 8, * Vide Plate I. Fi&. i. 16 On the MOTION of COR. 8. The motion of the fap then is accelerated by the per- pendicular pofition of the branches ; a leading facl, not only in the motion of the fap, but in the ftruclure of the veflels which convey it. And from which at prefent we may thus far conclude, that the motion of the fap of trees is not the fame with that of fluids in capillary tubes, as has been gene- rally thought, but defcends with a greater force than it afcends; and confequently its motion muft depend upon fome different principle. COR. 9. From this experiment we may likewife infer, that the fap makes its way fooner, and in greater quantity, to the extre- mity of pendent than of erec~l branches. Hence the reafon appears, why the gems upon pendent branches always burft fooner than upon thofe which are in an upright pofition. And it is probably alfo for the fame reafon, that moll fruits are of a brifker growth, and of a larger fize, upon thofe branches which hang down, than upon fuch as are eredl. OBS. 15. In the branches, A, B, C, D, to which the fkp had now afcended, we remarked a\confiderable alteration in the buds, though very little change had been obferved in them for fix weeks before. They now began to fwell, and their fcales to fhoot from under one another ; but the buds upon the fuperior branches, to which the fap had not yet afcended, were not fo fwelled, but compact as formerly. MARCH 25. Thermometer, at noon, 42. ; at midnight, 34. Continued fun-mine all day. Thermometer, in the fun, atnoon,63. THE ninth incifion continued to bleed, but all the fuperior in- cifions were dry. OBS. 1 6. The inverted branch D E continued this day to bleed at the fe&ion E, while the branches B and C, placed be- low it, but in their natural pofition, were only moift at their extremities. OBS. 17. The SAP in TREES. 17 OBS. 17. At five o'clock in the afternoon, the ninth, eighth, and feventh incifions had ceafed to bleed ; but ftill the inverted branch, though placed above them, bled at the extremity, and continued to do fo till it was dark, when all die other inci- fions upon the tree were dried up. To obferve the effects of an inverted pofition of the branches upon the motion of the fap, the two following experiments were alfo made : EXP. 6. On the iftof March, two branches of a birch, the one placed five, and the other fifteen feet high, were tied down with their extremities pointing directly to the earth. The buds on thefe two inverted branches fwelled larger, broke fooner, and threw out larger leaves, than any other buds upon the tree. EXP. 7. At the fame time, and in the fame manner, two other branches of a birch were inverted, in every refpedl fimilar to each other. All the extremities of the one were cut ; but thofe of the other were left entire. That branch whofe ex- tremities were cut, continued to drop at every twig during the whole bleeding feafon ; yet the buds upon this branch fwelled larger and broke fooner than thofe upon the other branch, which had been fuffered to remain entire. COR. 10. From thefe experiments, I fhall only draw this obvi- ous, though not unimportant conclufion, That wherever the afcending fap moves moft freely, and in the largeft quantity, there, the buds fwell to the largeft fize, and difclofe them- felves foonefl. OBS. 1 8. At five this afternoon, the ninth incifion, eight feet high, on the north fide of the tree, was dried up ; yet an in- cifion, at the fame height, on the fouth fide, continued to bleed till funfet, and was bleeding when the incifion, only fix feet high, on the north fide, was become quite dry. COR. II. This obfervation fuggefts a fact, relative to the caufe of the fap's motion, which deferves to be noted : That the motion and bleeding of the fap does not proceed from a force C communicated i8 On the MOT ION of communicated to it from the root, but from the action of heat. The fouth fide of the trunk was this day far more confiderably heated than the north fide ; and therefore, in the evening, we found it bleed on the fouth fide, at the height of eight feet, when it refufed to bleed, at the height of fix feet, on the north fide. MARCH 26. Thermometer, at noon, 39. ; at midnight, 36. THE feventh incifion bled ; but the eighth and ninth were dry, though they had bled the two former days. OBS. 19. On this day, and at all other times, whenever an in- cifion bled on the trunk of the tree, all the incifions below it bled likewife. OBS. 20. In the courfe of this experiment, we have found the uppermoft incifion fometimes dry, though it had bled the day before ; but here we find the two uppermoft incifions dry, which had bled the two former days. The caufe is evident from the thermometer, which this day flood lower than on any of the preceding days of obfervation. AT this feafon, fo like is the fap in a tree, to the fluid in a ther- mometer, and fo dependent in its motion on the heat and cold of the atmofphere, that, by looking at the thermometer be- fore I went abroad, I came now to guefs nearly the height at which I mould find the tree bleeding. OBS. 21. The inverted branch D E bled this day plentifully at E, though the two incifions below it refufed to bleed ; as did alfo the branches below it, which were in their natural po- fition. COR. 12. If at any time we woxild wifh to obtain a large quan- tity of the fap of the birch, or of any other bleeding tree, it would appear, therefore, to be a ufeful practice, to bend the branches into a perpendicular pofition, and to cut them at their extremities. COR. 13- The SAP in TREES. 19 COR. 13. We find, that when the parts of a tree are not fully re- plete with fap, they- will bleed with a certain degree of heat, but will refufe to bleed with a fmaller de'gree : That the more a tree is replenished with fap, the lefs degree of heat is necef- fary to make it bleed, and vice verfa. On the I3th of March, the third incifion refufed to bleed with the heat of 44. ; but on this day, the feventh incilion bled with the heat of 39. MARCH 27. Thermometer, at noon, 45. ; at midnight, 40. THE eighth incifion bled ; but the ninth, which had bled for- merly, was dry. The inverted branch continued to bleed at its extremity E. MARCH 28. Thermometer, at noon, 49. ; at midnight, 43. THE eighth incifion bled ; but the ninth was dry, as on the preceding day. The inverted branch continued to bleed plen- tifully at its extremity. OBS. 22. The buds on the inverted branch were now fwelled to a larger fize, and were evidently more forward than any others upon the tree, though this was only the fifth day fince the branch was placed in that poflure. EXP. 8. On the 23d inftant, I had cut feven incifions, a foot diftant from each other, upon the branch B. Thefe incifions were cut deep, near to the pith of the branch, perpendicular to the horizon, and were made with a view to folve the two following queries : 1. WHETHER the fap makes a fwifter progrefs in young than in old wood ? And, 2. WHETHER, at this time, there was any defcending fap to be difcovered in the tree ? THE experiment upon this branch afforded full fatisfa&ion con- cerning both thefe queflions. C 2 As 20 On the M 0 Tl 0 N of As to the firft, the fap had iffued on the 24th inftant at the ninth incifion, which was juft below the infertion of this branch, but had been kept from afcending higher, for three days pad, by a great degree of cold. During thefe days, I watched every morning to find when the fap would appear at the lowefl incifion upon the branch ; but the cold was too great to fuffer it to make any progrefs till this day. Accordingly, all the feven incifions on the branch did this day bleed fucceflively, from the bottom to the top, between nine o'clock in the morn- ing and two in the afternoon. COR. 14. In anfwer to our firfl enquiry, we therefore find, that the fap moved in this young branch feven feet in one day ; but when the thermometer was at the fame degree of 49. the fap moved in the trunk of the tree only at the rate of feven feet in feven days. We may therefore, in general, conclude, that the fap makes a fwifter progrefs in young than in old wood ; and that, in fome cafes, the proportional difference is no lefs than feven to one. ON the 1 6th of March, the birch on which this experiment was made, being about thirty feet high and thirty-five years old, bled no higher than four feet above the ground; but a younger birch, {landing clofe by it, being only about fourteen years old, did, on that day, bleed at the top, or fifteen feet high. Many fuch inftances might be adduced to mew, that the fap runs more freely, and with a quicker afcent, in young than in old wood. In confequence of this, the young trees of every fpecies, ccetcrls paribus^ difclofe their leaves in fpring fooner than thofe which are old. OBS. 23. As to the fecond enquiry, the firft bleeding of thefe feven incifions on the branch B was attentively marked, that I might know whether the fap would firft appear on the under or upper fide of each incifion, or on both at the fame time. Accordingly, this morning, the fap made its firft appearance upon the loweft fide of the loweft incifion, at h ; and fo fuc- ceffively, The BAP in TREES. 21 ceffively, upon the lower fide of all the other incifions, mark- ed i, and flowed plentifully, while the upper fide of all the feven incifions, marked k, remained dry. COR. 15. The refult of thefe trials then amounts to this: That there was at prefent no defcending fap from the branches : That the whole fap of the tree was in an afcending flate : That it had now reached about nine feet high in the trunk j be- yond which height it was flill dry, and refufed to bleed. BEING aflured of this, I now applied myfelf to examine an experiment of M. DU HA MEL, upon which he founds his doc- trine of a defcending fap in the bleeding feafon. EXP. 9. This experiment was made, by fawing two inches deep into the tree, at L, one foot from the ground. - Another inci- fion, of the fame depth, was made three inches below, both being horizontal j and the wood and bark between the two were completely extracted. The fap was then perceived to flow as plentifully from the furface of the upper incifion at m, as from that of the under incifion at n. COR. 1 6. From this experiment, M. DU HAMEL* fuppofes, that, in the bleeding feafon, there is not only an afcending but a defcending fap. Finding the fap to iflue from both incifions, he concludes, that it moves at the time in two different directions, or both upwards and downwards. The facts which he delivers in the above, and in other experiments, which I alfo repeated, are certainly true ; but this conclufion which he draws from them is xinqueftionably erroneous. IT is evident, from the whole train of our experiment, thatr from the earlieft fpring to the prefent day, the 28th of March, all the fap which flowed in the birch was in an afcendmg flate, and that there was no defcending fap whatever from the extremities of the tree towards the root. But when once any part of a tree comes to be replete with this afcend- * Phyfique des Arbres, torn. i. p. 66. £{ i .q -i Jov .yoite'i aiu&H +• a* On the MO 710 N of ing fap, we find it will run out in any direction, either up- wards or downwards, wherever an incifion is made. MARCH 29. Thermometer, at noon, 46. ; at midnight, 42. THE eighth incifion bled ; but the ninth was ftill dry. The inverted branch bled ftill freely at E. The feven incifions on the branch B did not bleed. OBS. 24. Dr TONGE *, in the laft century, firft noticed what he termed the recidhation of the fap, that is, its fubfidence or defcent in a tree during the cold of the night. This opinion was alfo adopted by Dr HALES f, who fays, " That the fap " in all vegetables does probably recede, in fome meafure, " from the tops of branches, as the fun leaves them." It is an opinion that has fince been generally admitted, and the phenomenon itfelf termed the ocillatory motion of the fap. SUCH a motion of the fap, however, appeared very queftion- able, on feveral occafions, in the courfe'of our prefent expe- riment. Often, when the fap was rifen to a confiderable height in the tree, the incifions which had formerly bled would be found dry in a cold morning j but a warm gleam of the fun would, of a fudden, fet them a-bleeding, not fucceflively, but all at once. This feems to prove, that the fap does not defcend when the incifions ceafe to bleed by an increafe of cold, but is only bound up. To verify or invalidate this conclufion, the following experi- .ments were made : EXP, 10. March 28. A luxuriant young birch, two inches in diameter, was this day cut over, a foot above ground. Be- ing cut at mid-day, both fedlions bled for two hours j but the under one more plentifully than the other. The upper fection became quite dry on the approach of night. The tree * Philof. Tranf. anno 1668. p. 855. f HALES Staticks, vol. i. p. 145. The SAP in TREES. 23 tree thus cut, being kept in the fame upright pofitioa in which it grew, on the two following days it bled a little about mid-day ; b\it on each day it became dry, that is, the fap ceafed to defcend whenever the cold of the evening began to take place. EXP. ii. February 10. At four o'clock afternoon, during a keen froil, two branches, each five feet long, were cut off a plane- tree. The under fedlions bled rapidly, and the fap freezing as it ran, in half an hour there was a long icicle hanging at each feclion. The two feparated branches, being kept per- pendicular in the open air for half an hour, appeared only moifl at the place where they were cut, but did not bleed. One of them being brought into a warm room, bled copi- oufly for an hour. The other having been flill kept in the open air, had not feparated a drop during that time ; but, upon being removed into the room, it bled freely like the former. COR. 17. From thefe experiments, we are, therefore, flill led to conclude, that the fap does not defcend by cold : That when a tree eeafes to bleed by an increafe of cold, this effe6l is not produced by a fubfiding or defcent of the fap ; but that, by the cold, it feems only to be arrefled and held in a ftate of flagnation. THE recidivation or ocillatory motion of the fap, by the cold of the night, though long held by philofophers, appears, therefore, to be an erroneous opinion, which has little or no. foundation in nature. COR. 1 8. In the lafl experiment, we have the force of the fap's motion, and the influence of the cold upon that force; weighed, the one againft the other. The freezing cold was not able to prevent the motion of the fap upwards, but was powerful enough to obftruc"l its motion downwards. Here, as it was found in many other cafes, the force of the fap afcending 24 On. the M 0 T 1 0 N of afcending at the under feclion of the branch, was greatly fu- perior to its force in defcending at the upper fedion. MARCH 30. Thermometer, at noon, 50. j at midnight, 43. THE eighth incifion bled ; but the ninth continued dry. The inverted branch (till bled freely at E. The under fections of the feven incifions on the branch B bled j but their upper fec- tions were as yet dry. OBS. 25. The ninth incifion ftill refufed to bleed, though the heat of this day appeared fufficient to elevate the fap to that height ; but between the eighth and ninth incilions, there were two large young branches, which feem to have led off the fap fafter than the old wood of the trunk. OBS. 26. From what has been noticed of the branches D and B, we find, that a young branch bleeds fooner than an inci- fion in the trunk, placed even below the infertion of the branch. This evidently arifes from a quicker and more eafy flow of the fap in young than in old wood; by which means, the branch comes to be fooner replete with fap than the ad- joining part of the ftem. MARC H 31. Thermometer, at noon, 62. ; at midnight, 40. THE feventh incifion upon the trunk bled ; but thofe above it were dry. The fedion of the inverted branch at E continued to bleed. All the feven incifions upon the branch B were dry. OBS. 27. When I found the thermometer fo much higher this day than it had been at any time during the feafon, I went out, expecting to find the tree bleeding at a greater height than it had hitherto done : But in this I was difappointed ; for all the incifions above the feventh, even the eighth and ninth, which had formerly bled, were perfectly dry. This was fbt SAP in 'TREES. 25 •was the firft inftance of many which afterwards occurred, to ihew, that, in the early fpring, a tree bleeds by heat, and, as the feafon advances, by cold. APRIL i. Thermometer, at noon, 50. ; at midnight, 34. No obfervation becaufe of rain. APRIL 2. Thermometer, at noon, 46.; at midnight, 39. THE feventh incifion, being the one immediately under the branches, bled ; but the eighth, and all the other incifions above it, upon the trunk, were dry. The inverted branch D E Hill bled at E, but not in fuch abundance as formerly. OBS. 28. It is remarkable, that the eighth and ninth incifions, which had formerly bled, were dry for fome days paft, though the four branches above them bled freely. It appears, that, when the fap rifes to the juncture of branches, it is there led off rapidly by the younger wood. By this means, the branches become replete with fap ; the adjacent parts of the trunk are drained, and ceafe to bleed ; while the fap, in the younger wood of the branches, flows plentifully. ANOTHER cafe, analogous to this, was found in the following experiment : EXP. 12. The grey willow* is a tree which does not bleed ; but when the fap afcends in fpring, it rifes vifibly between the wood and bark, though not fo copioufly as to bleed ; yet wherever it arrives in fufEcient quantity, it makes the bark feparate eafily from the wood, as in the birch, and probably in all other trees. ON the igth of April, the bark of this tree was found to fe- parate freely from the wood, where the branch was of four years growth. It feparated ftill more freely where the branch D was * Salix caprea, LIN. 26 On the MO T 1 0 N of was only of three or two years growth ; and moft readily of all in the laft year's moots. At the fame time, the bark refufed to feparate freely in the above branch, where its growth was feven years old, and was ftill more adhefive in the trunk, which was about twenty years growth, and half a foot in diameter. COR. 19. Were it not for the light obtained by the former expe- riments, we might be led to conclude from this trial, that the fap which appears in fpring, between wood and bark, defcends from the extremities of a tree towards the root, and probably in a way of circulation : But we have found, that the fap which runs in fpring, between wood and bark, afcends diredl- ly, and in a very gradual manner, from the root. The refult of this experiment, therefore, coincides exactly with the above obfervation, and mews, that the younger wood does power- fully draw off the fap from the older : That, by draining the trunk, the fap accumulates in the branches ; and that, in young wood, we find a greater quantity of fap than in the older wood through which it has paffed in its way from the root. APRIL 3,. Thermometer, at noon, 49. j at midnight, 44. No obfervation becaufe of rain. APRIL 4. Thermometer, at noon, 53. ; at midnight, 44. THE tenth incifion bled this day, but very fparingly. The inverted branch D E bled at E. The incifions on the branch B bled at their under factions, and alfo at their upper fections, but in much lefs quantity. OBS. 29. This laft appearance feems to favour the idea of a cir- culation, if it might be fuppofed, that the fap, which iffues from the upper fections of the incifions, is the effect of a re- gular return from the vipper extremities of the tree. But it is ttc SAP in 'TREES. 27 is to be noticed, that, wherever the fap has afcended, the whole body of the wood is replete with it : That, upon incifion, it ifTues from the wood downwards, and in every other di- rection ; and that this happens before any fap has yet arrived at the upper extremities of the tree. APRI L 5. Thermometer, at noon, 50. ; at midnight, 41. APRIL 6. Thermometer, at noon, 48. ; at midnight, 40. No obfervation was made on thefe days. APRIL 7. Thermometer, at noon, 49. j at midnight, 42. THE eleventh incifion bled ; and the inverted branch bled at E. \ , APRIL 8. Thermometer, at noon, 48. ; at midnight, 40. THE eleventh incifion continued to bleed. APRIL 9. Thermometer, at noon, 50. ; at midnight, 44. THE twelfth incifion bled this day. APRIL 10. Thermometer, at noon, 53. ; at midnight, 49. THE thirteenth incifion began this day to bleed for the firft time ; but all the incifions above it were ftill dry. The invert- ed branch alfo bled at E. OBS. 30. This day I attended carefully to the ifluing of the fap, both from the upper and under incifions of the branch B, and found, that it flowed in each incifion, both from the ligneous circles, and from between them. It evidently appeared, how- D 2 ever, 28 On the M 0 7 1 0 N of ever, to flow from the veins feparating the circles, before it iflued from the circles themfelves j which ferves to fhew, that the fap runs more freely in the one than in the other, as we foxmd before, that it runs more freely between the wood and bark than in the wood itfelf. OBS. 31. It was alfo this day remarked, that, in all the incifions upon the branch B, the fap appeared fooner, and flowed more copioufly from the outer than from the inner circles of the wood. To be further affured of this, a number of branches, both of the birch and plane, were cut over, when the fame appearance "conftantly took place, and which con- firms the obfervation formerly made, " That the fap is more " expeditioufly and plentifully conveyed by young than by " old wood." DURING the nth, I2th and i3th of April, the thermometer, at noon, flood at 45. 44. and 43. refpeclively ; and, at midnight, at 36. 35. and 39. Thefe degrees of cold arrefled the fap. It iflued fparingly at the thirteenth incifion, and at all the xuider incifions, but went no higher. APRIL 14. Thermometer, at noon, 55. ; at midnight, 46. THE fourteenth incifion bled this day for the firfl time ; but all the incifions above it were flill dry. The inverted branch alfo bled. OBS. 32. It was again carefully obferved, by new incifions on the branch B, whether, according to M. DU HAMEL, there was an afcending fap by the ligneous circles, and a defcending fap by their veins j but it was found, as formerly, that the fap proceeded from both in the fame direction. It iflued, in- deed, in lefs quantity, from the tipper than from the under feclions.. When 'a thin flice of wood was taken off a cica- trifed or dried fe&ion, the fap iflued from the veins before it made The SAP in TREES. 29 x made its appearance from the circles ; and when the place cicatrifed was only in part cut away, the veins would appear moiftened with the fap, while the circles theinfelves remained perfectly dry. Thefe appearances, I imagine, made M. DO HA MEL fuppofe, that there was a diftincT: defcending fap by thefe veins. Such appearances do, indeed, at fir ft fight, very naturally lead to this fuppofition ; but, on farther infpecHon, muft be referred to the caufe already eftablifhed, the more eafy and copious flow of the fap between the circles than in the circles thenifelves. APRIL 15% Thermometer, at noon, 49. ; at midnight, 48. THE fourteenth incifion bled as yefterday. The fifteenth was very moift, but did not bleed. APRIL 16. Thermometer, at noon, 56. ', at midnight, 50.- THE fifteenth and fixteenth incifions bled this day for the firft time. OBS. 33. In the courfe of thefe experiments, this was the firft inftance in which the fap moved two feet in twenty-four hours. But the thermometer, in the made, flood higher than it had hitherto been, and there was bright funfhine during the whole day. APRIL 17. Thermometer, at noon, 51. ; at midnight, 47. APRIL 1 8. Thermometer, at noon, 50. ; at midnight, 47. DURING both thefe days the fixteenth incifion. bled ; but the feventeenth, though wet, did not bleed. This feemed to be ow- ing to fome vigorous young branches which led off the fap, and thereby prevented its rife, for a time, in the ftem. APRLL 30 On the MOTION of APRIL 19. Thermometer, at noon, 54. ; at midnight, 50. THE feventeenth incifion did, for the firft time, bleed. OBS. 34. When the tree firft began to bleed, the dreaming of the fap was confined to two, three or four hours, about the middle of the day ; but as the heat of the feafon advanced, and the tree became more replete with moifture, the running of the fap commenced early in the morning, and continued till very late in the evening. It is likewife to be noticed, that, in the evening, the fap often continued to flow from in- cifions in the branches, when thofe upon the trunk were dried up ; and that it alfo run longer from inverted than from upright branches. APRIL 20. Thermometer, at noon, 56. ; at midnight, 49. THE eighteenth and nineteenth incifions bled to-day, for the firft time. There was warm funfhine during the whole day. APRIL 21. Thermometer, at noon, 54. ; at midnight, 47. THIS day the twentieth incifion bled. APRIL 22. Thermometer, at noon, 52. ; at midnight, 45. THE twenty-firft incifion, which was made a few days before, and which was the higheft that could be made on the tree, did this day bleed for the firft time. It was twenty feet from the ground. APRIL 24. Thermometer, at noon, 56. ; at midnight, 50. THIS day the tree bled, in all its parts, at every incifion upon the trunk, and at every twig cut at the extremities of the branches. APRIL The SAP in TREES. 31 APRIL 30. Thermometer, at noon, 60. j at midnight, 52. THE vernation, or budding of the tree, now took place, that is, the young leaves were mot forth fo far, as to be of an equal length with the hybernaculum. THIS day all the incifions, in the upper part of the tree, were dry. A little fap ftill iffued from the four ihcifions upon the trunk, that were next the ground. But frefti incifions being made in different parts of the branches, they all refufed to bleed. MAY i. Thermometer, at noon, 58. j at midnight, 50. ALL the incifions, both on the trunk and branches, were dry, excepting one, a foot from the ground, which ftill continued moift, though it did not bleed. COR. 20. It appears then, that the fap does firfl ceafe to flow in the branches ; and that it continues, for fome little time, to flow in the lower parts of the trunk, after the upper parts are become dry. MAY 2. Thermometer, at noon, 60. ; at midnight, 53. INCISIONS being now made over the whole tree, from the root to the extremities of the branches, they were all found per- fectly dry. The young leaves were now fhot forth in length, confiderably beyond that of the hybernaculum. OBS. 35. It feemed now natural to conclude, that the tree ceafed to bleed, and that the wood was every where become dry, by the evaporation occasioned by the leaves which were now fhot forth. The two following experiments, however, {hew, that this appearance is owing to a different caufe. EXP. 13. A young birch, i| inch in diameter, was cut over at the beginning of the bleeding feafon, a foot from the ground,, and, on the trunk that remained, there was no bud. This trunk 33 On the MOTION of trunk continued to bleed during the feafon, but it gave over bleeding at the fame time with the other trees. The wood became dry, the fap flowed between wood and bark, which were then eafily feparable from one another, and the bark it- felf became moift, though it had neither buds nor leaves upon it. EXP. 14. All the buds were ftripped off one fide of another birch tree and all the buds on the other fide, were left en- tire. Both fides of the tree, however, ceafed to bleed at the fame time. The wood turned dry, the fap flowed between the wood and bark, and the bark became moift on that fide of the tree which was deprived of its buds, in the fame manner, .and at the fame time, in which thefe alterations took place on the fide of the tree which retained its buds, and whofe leaves were now confiderably expanded. COR. 2i. The drying up of the fap, therefore, in the wood of trees, about the time of their vernation, proceeds not from the evaporation occafioned by their leaves, but from a general communication and diffufion of the fap from the wood -into the bark, at that feafon. To this caufe, likewife, and not to any influence of the leaves, is to be afcribed the running of the fap between the wood and bark, during the feafon of Sjer nation. MAY 10. Thermometer, at noon 63. ; at midnight, 50. THE leaves of the tree were now expanded, and the wood was every where quite dry. The fap flowed between the wood and the bark, fo as to wet the finger, and bled fenfibly. The bark did not, .in any degree, bleed ; but was every where more moift and ( fucculent than -when the fap flowed in the wood. The bark peeled eafily from the wood, the alburnum from both, and its fibres were more eafily feparated from one' another than at any period while die fap ran in the wood. C O N- 8vo. p. 183. The SAP In TREES. 37 particularly by M. BONNET *, to be a conclufive argument, in favour of a circulation of the fap. It is fuppofed, that the fap rifes from the root, by the wood of a tree, to the extremities of the branches, and that from thence it returns again by the bark to the root, in a circulatory manner. It is therefore concluded, that the bud which terminates a branch muft be the firft that breaks in the fpring, becaufe it receives the firft vifit of this re- turning fap. The above experiments, however, enable us to ac- count for this curious appearance in a different manner. WE have had frequent opportunities to remark, that the fap moves with greater rapidity, and in greater plenty, in young than in old wood. THAT inverted branches, in which the fap flows more copi- oufly, than in thofe which are creel, do bud the fooneft. THAT young trees bud more early than thofe which are old ; and that the fap runs longer in young than in old wood. ALL which facts evidently lead to this conclufion, That, as the buds towards the extremities of branches are placed upon the youngeft wood, where they receive the. moft copious flow of the fap, they muft, for this reafon, fwell more early, and difclofe themfelves fooner than fuch as are fituated upon older wood. From the early breaking of the terminating buds upon branches, no proof can, therefore, be deduced in favour of a fuppofed circulation. §6. THE fubtile and ingenious theory of the generation of plants, given by LINN.EUS f , which is countenanced by many excellent facts, is further confirmed by thefe experiments ; which ftrong- ly infinuate, that the tree is rather deftined to fupport the pith, than the pith the tree ; the pith, according to that theory, be- ing eflentially neceflary, not fo much for the vegetation of the plant, as the formation of the feeds. IN * BONNET, p. 285. Generatio ambigena, Amoen. Acad. vol. 38 On the MOTION of IN our experiments, no fap could, at any time, be difcerned either to afcend or defcend by the pith. It is a fubftance quite unqualified for this purpofe. It contains no lymphatics } and, fo far as I know, none of the peculiar fap-vefTels of any tree are ever fituated in the pith * ; a fingularity which is not to be found in any of the other parts of a plant. THE fubftance of the pith very much refembles that of the cellular texture of plants, but is, notwithftanding, of a very dif- ferent nature f. The cellular texture freely imbibes and tranf- mits water ; but the fubftance of the pith obftinately repels it. I have often feen colotired liquors rife in the bark and wood of trees, efpecially in the wood of the elder, but not a particle was admitted by the pith, though a fubftance, to appearance, much better adapted for imbibing a fluid. All thefe circumftances lead to fufpec"l, that the pith has little or no mare in fupporting the wood, the bark, or the general vegetation of the tree, and that its principal ufe is to aid the formation of the fruit. ACCORDINGLY, in the numerous fedlions of trunks and branches made in the foregoing experiments, the buds were constantly obferved to" be connected with, and, in a manner, rooted, in the pith, by means of the diametral infer -lions |. It may alfo be every where obferved, that no bud exifts upon any tree, without a connection with the pith ; and that buds are al- ways in greater abundance where the pith is moft copious. IT is fuppofed by LINNJEUS §, that the pith draws the nou- rimment from the bark ; but the argument he ufes in fupport of this pofition does, by no means, prove it. On the contrary, it rather appears from our experiments, that the pith muft draw its nourifliment from the woodj becaufe, during the whole fpring * M. DU HAMEI, imagine?, that there are in the pith both iiaiffeaux frofres, and lym- phatiques. \ M. DU HAMEL thinks, that the pith and the tlffit cellulaire are the fame fubftance.. J THE radiated lines of wood, which extend from the pith to the bark. J Amcen. Acad. vol. 6. p. 325. The SAP in 'TREES. 39 fpring feafon, the wood was replete with fap, while the bark was dry. Befides, when the trunk of a tree, for a certain fpace, is decorticated quite round, the pith, in the decorticated part, lives, and all the parts of the tree above it, fo long as the wood con- tinues green, and conveys fap, which it will do for years. The wood appears to be the great fource of nourifhment to all the parts of the tree. It is probable, that, from this alone, the pith is nourifhed, and that its communication with the bark is not to draw nourimment from it, but to afford fome important aid to the growth of the buds. § 7- THE important conjecture of Dr HALES, mentioned in the introduction to this paper, and on which he thought the truth or falfehood of the doctrine of a circulation chiefly depended, has been, in the courfe of thefe experiments, completely ve- rified. WE have found, that, in the early fpring, the fap firfl begins to move at the bottom of a tree, and proceeds gradually up- wards through all its parts : That the lower bark is firfl moifl- ened, by a fap afcending from the root, and not by a fap de- fcending from the branches, which was generally fuppofed. And further, that, from the firfl movement of the fap in the fpring, till the time of vernation, no defcending fap whatever can be difcerned in the tree. THESE, indeed, are important points againfl the doctrine of a circulation, but I do not think that they completely difprove it. They only prove, that there is no circulating fap in a tree during a certain feafon of the year, that is, from the time the tree begins to bleed till the appearance of the leaves. To de- cide the matter finally, it is neceflary, that the route of the fap mould alfo be traced, by accurate experiments, from the time the leaves firfl appear, till the defoliation of the tree in autumn. What the refult of fuch an enquiry might be, I cannot deter- mine : 4° On the M 0 77 0 N of, &c. mine : And mail only obferve, that, from a few trials made with this view, I have been led to fufped, that, while a tree is in leaf, its fap obferves a very different courfe, and moves by laws very different from thofe, by which it is regulated in the bleeding feafon. it. Ox THE Mo TIOX or TIIK SAT IX TREK S . To front? 4ff fffaperr of Atfk>'f . (I . B II. The THEORY of RAIN. By JAMES HUTTON, M. D. F. R. S. EDIN. and Member of the ROYAL ACADEMY of AGRICULTURE at PA R i s. PART I. Invejligation of the Law of Nature, on which is to be founded a Theory of Rain. [Read by the Author •, Feb. 2. 1 784.] THERE is ail atmofpherical appearance which is not explain- ed by the known laws of heat and cold. It is the breath of animals becoming vifible, in being expired into an atmo- fphere which is cold or moift ; and the transformation of tranf- parent fleam into the ftate of mift, when mixed with air which is of a colder temperature. Natural philofophers have certainly confidered thefe appearances as being explained in the general law by which heat and cold are communicated among contigu- ous bodies, otherwife they would have endeavoured to point out this particular law, which feems to depart from a more ge- neral rule, or does not follow the natural courfe of things ob- ferved on other occasions. The fubjedl of this paper is to in- veftigate a certain rule which, in the cafe now mentioned, may be difcovered as directing the action and effects of heat and cold ; and to form a theory of rain upon that invefligated rule, concerning the evaporation and condenfation of water. THE air, infpired by an animal, may be confidered as a men- ftruum diffolving water upon the warm and humid furface of the lungs, and as thus becoming faturated with humidity in this degree of heat. When this folution is again cooled, then, F according 42 THEORY of RAIN. according to the known laws of condenfation, water muft be feparated from the menftruum, and become vifible by reflecting light. In like manner, water may be rendered an invifible elaftic fluid, by means of heat alone ; and this fluid, in being cooled, will be condenfed into water, and appear vifible. But it is now to be fhown, that, when breath or fleam becomes vi- fible, in mixing with the atmofphere, this effect is not produced in confequence of the general principles of heat and cold : That, for the explanation of this appearance, there is required the knowledge of a particular law ; and that the effects of heat or cold, in relation to air and vapour, proceed not always in ratios which are equally increafing or diminifhing. IN order to determine the actual ratio of the difTolving power of air, in relation to water in different degrees of heat, or the ratio in which the power of heat converts fluid water into elaftic fleam, we muft confider the feveral ratios in which this operation may proceed ; for if, among all the con- ceivable ways of proceeding, there fhall be but one with which natural appearances fhall correfpond, it will then be reafonable to conclude, that this correfponding ratio is the particular law of nature, and that appearances of this kind are thus to be explained. THE diflblving power of air, in relation to water, may be fuppofed to diminifh as heat is increafed; but this would be in- confiftent with natural appearances in general. Such a fuppo- fition, therefore, would be now fuperfluous. This power might alfo be conceived as not affected with the increafe or diminu- tion of the degree of heat ; and this fuppofition is agreeable to the folution of fea-falt in water : But, as it is certainly not the cafe with air and vapour, neither is this fuppofition to be made. The general rule of diflblving and evaporating bodies, is to in- creafe with heat. This is now to be admitted as the cafe with water evaporating in air, or when, by means of heat alone, it is converted into fleam ; and it is only the ratio or meafure of this operation which here is to be made the fubject of confideration. THERE. THEO R T of RAIN. 43 THERE are juft three different ratios, in which this operation of heat on water may be conceived as proceeding. 1. THE folution may vary at the fame rate with the heat, fo that equal increments of heat mall be accompanied by equal in- crements of diffolved vapour. 2. IT may vary at a greater rate, fo that while the heat in- creafes by equal differences, the quantity of diffolved vapour mall increafe by differences which are continually augmenting. 3. IT may vary at a lefs rate than the heat, fo that while the heat increafes by equal differences, the quantity of diffolved va- pour mall increafe by differences which are continually dimi- nifhing. THESE three rates of evaporation, or folution of water in air, may be re- prefented geometrically, thus : Let the ftraight line C H reprefent the fcale of the thermometer. Let the perpendicular or- dinates, am, b r, be taken in the proportion of the quantity of water, which can be held in folution, by a given quantity of air, of the temperatures a and b. Draw the ftraight line m r. Draw alfo the curve m d e f r, having its convexity turned to- wards C H ; and the curve m v k I r, having its concavity turned towards C H. It is evident, that the ordinates to the line m r will mark the progrefs of heat, and alfo of a folution, varying at the fame rate with the heat. In like manner, the ordinates to the curve m d ef r, will mark the progrefs of fo- lution, varying at a greater rate than the heat ; and the ordi- nates to the curve m g k I r, will mark the progrefs of folution, varying at a lefs rate than the heat : For thefe ordinates are taken in the proportion of the quantity of water diffolved in F 2 air. 44 THEOR T of RAIN. air, of the different temperatures, indicated by the points of the line C H, from which they are drawn. LET us now confider thefe three rates of aqueous folution, with a view to know the effec~l of mixing together faturated portions of the atmofphere of different temperatures. For this purpofe, let it be obferved, that the ordinates to the line m rt drawn from the point of C H, which denotes the temperature of the mixture, will always reprefent the quantity of water con- tained (whether diffolved or not) in an unit of the mixture ; for the ordinates m a, r £, were taken in the proportion of the quantities contained in an unit of air of the temperatures a and b ; and it is to be prefumed, that, upon mixture, the heat, and alfo the water, are uniformly diffolved ; and, therefore, both the heat and water, contained in an unit of the mixture, vary in the fame proportion, and may be expreffed by the fame meafure. IN the iuppofition of equable folution, let us mix equal por- tions of faturated air, of the temperatures 10. and 40. the mixture will produce a temperature 25. which will be reprefent- ed by the ordinate o p. This ordinate alfo reprefents the qxian- tity of water contained in an unit of the mixture. But it alfo reprefents (in the prefent fuppofition) the quantity of water, held in folution by an unit of air of the temperature 25. INSTEAD of equal portions, let two parts of a faturated fohi- tion, of the temperature 40. be mixed with one part of a fatu- rated folution, of the temperature 10. the temperature pro- duced will be 30. and will be expreffed by u q ; which will alfo exprefs both the water contained in an unit of the mixtxire, and the quantity of water held in folution by the unit. IN like manner, two parts of the temperature 10. mixed with one part of the temperature 40. produces a mean temperature 20. ; and the ordinate c n expreffes the heat, mixture, and folu- tion of the unit. EVERY mixture, therefore, that can be made of this folution will be found equally faturated, as are its conftituent parts, and will THEORTofRAIN. 45 will have neither excefs nor deficiency of the diffolved fubftance. This, however, is not the cafe in the other two rates of folu- tion ; for, as in thofe two cafes the ordinates of heat and folu- tion are not the fame, the medium of heat will not exprefs a folution faturated with humidity, or a mixture in which there is not fuperfluity of the diffolved fubftance. Let us now con- fider thefe more particxilarly. IN the curve m d efr, which reprefents the increasing rate of folution, let equal portions of the folution in 40. and in 10. be mixed, then the medium of heat in 25. will have for the ordi- nate of mixture, that is to fay, the quantity of water contain- ed in this mixture o p, whilft o e is the ordinate of folution, that is to fay, the quantity of water that may be diffolved in this degree of heat, confequently, e p is the quantity of water that cannot be retained in folution, in this medium temperature produced by the mixture. IF two parts of the folution in 40. be mixed with one of that in 10. the medium temperature will be 30. ; and, if two parts of the laft be mixed with one of the other, the medium tempe- rature produced will be 20. In thofe two cafes, fq and dn are the quantities which will be feparated from the folution. IN like manner, may be found the effect of any mixture of two portions in different temperatures, and the quantity of wa- ter that would be feparated on thefe occafions afcertained, if the actual curve of evaporation were known, or that rate in. which the folution of water in air proceeded. THE progrefs of folution, inftead of being in an increaung rate, may be in one that decreafes, in relation to the progrefs of heat. In that cafe, the mixture of two portions of the folution in different degrees of heat, inftead of producing a feparation of fuperfluous moifture in the medium temperature, by reafon of the fuperiaturatioii, as in the former cafe, will be followed by an increafed power for the evaporation of water, by having an underfaturation in the mixed mafs. THIS 46 THEORTofRA IN. THIS proportion will be illuftrated in the curve rngklr, which reprefents the decreasing rate of folution. Let equal portions in 40. and 10. be mixed, and let the ordinate be raifed in the medium degree of heat 25. ok will then be the whole, power of folution, or the quantity of water that air is capable of diflblving in this degree of heat ; but o p is the quantity of water that is actually in this mixture ; confequently, the air. is here underfaturated with humidity by the quantity p k. IF two parts of 40. {hall be mixed with one in 10. or two of 10. with one in 40. the quantities of underfaturation will be changed, and q I and n g will exprefs thofe quantities, in rela- tion to the mixtures in the medium temperatures. THUS, in every mixture of folution in this decreafing rate of folution, there will be found an underfaturation of the air, with regard to the difTolved moifture, inflead of a fuperfatura- tion, which is found in all the mixtures of the folution in the increafing rate. LET us recapitulate : IF the folution of water in air increafes with heat in an equal rate, no mixture can be made of portions, in different degrees of heat, that will produce either fuper or underfaturation j but the mixture, like the conftituent portions, will be always fatu- rated without fuperfluity. IF the folution of water in air increafes with heat in a de- creafing rate, the mixture of two faturated portions, in dif- ferent degrees of heat, will produce no condenfation of humi- dity, but, on the contrary, will be capable of difTolving more aqueous fubftance. IF, on the other hand, the folution of water in air increafes with heat in an increafing rate, the mixture of two faturated portions, in different degrees of heat, will produce a condenfa- tion of humidity, as being fuperfaturated in the medium tem- perature of heat. THIS THEORY of R A IN. 47 THIS laft cafe properly applies to the phenomena of breath, and fleam, which have been rendered vifible, in mixing with air that is colder than themfelves ; and it explains the various appearances that may occur, in mixing together feveral portions of air, more or lefs faturated with humidity, and in different temperatures of heat and cold : For IT is not every mixture of the atmofpheric fluid, in different temperatures, that mould, according to the theory, form a vifi- ble condenfation ; this effect requiring, in that atmofphere, a fufficient degree of faturation with humidity. Neither is it ne- cefTary, for this effect, that the two portions to be mixed fhould each be faturated with humidity up to the temperature in which it then is found ; it is fufficient, that the difference in the tem- peratures of thofe portions to be mixed fhould more than com- penfate the defect in point of faturation. But, if a mixture fhall be made of two portions of the atmofphere, both fully fa- turated with humidity, then, however fmall may be the differ- ence of their temperatures, there is reafon to believe, that a con- denfation, proportionate to this difference, will take place. HAVING thus explained the atmofpherical appearance of vifi- ble mift, produced in the mixture of invifible fluids, we may now apply this rule of condenfation as a principle for the theory of rain. RAIN is the diflillation of water, which had been firfl dif- folved in the atmofphere, and then condenfed from that flate of vapour or folution. It is the explanation of this condenfation that muft form the theory of rain. So far, therefore, as the condenfation of aqueous vapour has been explained, and fo far as the evaporation, of water from the furface of the globe is un- derftood, we have a theory for the general appearance of rain. WATER, indeed, is condenfed in a cloud equally as in rain, and yet clouds may fubfift without rain. But, it is evident, that, without condenfation of aqueous vapour in the atmofpherej no rain could be produced j and that, however different caufes may 48 THEORY of R4IN. may influence water condenfed in the atmofphere, and operate varioufly, in either retaining it longer in a fufpended ftate, or bringing it fooner to the ground, the condenfation of the wa- ter is properly the caufe of rain. We may now endeavour to confirm this theory of rain, in having again recourfe to natural appearances. THE mod convincing experiment, in confirmation of the theory, would be, to have rain or mow produced by a mixture of portions of the atmofphere, properly conditioned for the con- denfation of the contained vapour. But fuch an experiment as this we alfo have. M. DE MAUPERTUIS, in his Difcours fur la mefure de la terre, fays, That, at Tornea, upon the opening of a door, the external air immediately converts the warm vapour of the chamber into mow, which then appears in what he calls " de gros tourbillons blancs." A fimilar appearance happen- ed at St Peterfburgh, anno \ 773. I have it from Profeflbr Ro- BISON, who faw it. It was in a crowded aflembly, the compa- ny fufFering from the clofenefs of the room, a gentleman broke a window for relief. The cold air ruming in, formed a vifible circumgiration of a fnowy fubflance. THE law of nature, on which this theory of rain is founded, may be now coiifidered in relation to its final caufe ; or how far it may appear to be conceived in wifdom for the purpofe of this world, as affording a proper climate for plants and animals. HAD the law, refpecling aqueous evaporation in the atmo- fphere, been conceived in any other manner than that which has been now found eftablifhed in nature, the fummer's heat, which is the caufe of vegetation, could never have been attend- ed, as at prefent, with refrefhing mowers of rain. By the cir- culation of the fluid atmofphere, the heat of torrid regions is carried away, and the cold of frigid regions is brought to tem- perate the exceflive heat that is excited upon the furface of the earth in the fummer folftice ; but, if no condenfation of hu- midity in the atmofphere could be produced by the mixture of its THEORY of RAIN. 49 its parts, however faturated with aqueous vapour, and in dif- ferent degrees of heat, the natural cold of the polar regions, and the contingent cold of fnows, accumulated, during winter, up- on the higher countries, however tranfported to warmer re- gions, would be altogether ineffectual for the purpofe of form- ing clouds and condenfing rain. THE prefent fyftem of the atmofphere is fo calculated as that every mixture of different portions of that fluid, unequal in their degrees of heat, and faturated with humidity, muft procure a condenfation of water. This fyftem, therefore, of the atmofphere, with this particular law in relation to heat and cold, is calculated to produce rain, by the continual mixture of its parts, which are in different temperatures. IN this fyftem, we fhall fee, that the cold regions of the po- lar circles are not ufelefs and inactive in the operations of this world. In like manner, the frozen regions of the Alpine fitua- tions of the Continent, ferve a purpofe, in the conftitution of this earth, by preferving, in the accumulated fnows, a ftore of the winter cold for the fummer feafon ; and thus preparing cold portions of the atmofphere to be mixed with the warmer por- tions, faturated with humidity, and ready to produce rain *. WHILE the atmofphere is thus tempered, by tranfporting the heat and cold of diftant regions, the regions of the earth moft diftant from the fea, may be fupplied with mowers of rain at every feafon of the year, or at any feafon, according to the ar- rival of thofe ftreams of the atmofphere which are in the pro- per conditions for producing, by their mixture, a medium de- gree of heat, and a fuperfaturation or condenfation of aqueous vapour. This wife fyftem of things, or this ufeful purpofe in the ceconomy of the world, could not have been accomplifhed without that particular law of nature reflecting aqueous con- denfation ; for, if the mixing together of the atmofpheric ftreams produced no condenfation, the fummer hemifphere of G the * THE explanation of this propofition depends upon Dr BLACK'S theory of latent heat. 50 THEORY of R A IK the globe would be parched with drought, and the winter he- mifphere deluged with rain. To fee this, let us confider the fummer hemifphere of the globe, warmed by- the influence of the afcending fun. From the laws of hydroftatics, it will appear, that there fhould be formed, on this occafion, two oppofite currents in the at- mofphere above this half of the globe, the one moving along the furface of the earth, from the polar region towards the equa- tor, the other flowing above, in a contrary direction. This circulation, therefore, being fuppofed, let us fee what follows, according to the ac"lual conftitution of things. On the one hand, the evaporation of the winter's moifture from the furface of the continent, warmed by the fummer fun, mud tend to faturate with humidity the polar atmofphere, as it acquires an evaporating power from- its increaling heat ; on the other hand, the progrefs of the upper current, from the tropic towards the pole, in having its degree of heat diminifhed by the general cooling caufe, will naturally bring the mafs to a point of fatu- ration with the aqueous vapour which it had received. In this ftate of things, the two oppofite currents in the atmofphere, while feparate, might pafs on without condenfing humidity fuf- ficient to produce rain ; but the moment that fufEcient portions of thofe faturated flreams fhall mix, not only cloud, but fhowers will be produced ; becaufe the fudden formation of a mean de- gree of heat, in the mixture of two portions in different tem- peratures, mufl condenfe a quantity of vapour fufEcient to form rain. RAIN having fallen in a place, in confequence of the mix- ture in the atmofphere above, this will naturally be followed by clearnefs in the fky and funfhine, which is fo neceffary for warming the furface of the earth, and for giving health and vi- gour to growing plants. BUT, without the particular law now invefligated, refpec"ling evaporation and condenfation of vapour, neither rain nor dew could THEORY of RAIN. 5» could be produced upon the fummer hemifphere of die globe, nor perhaps ever in tropical latitudes ; evaporation would every where take place, more or lefs ; the general tendency would be to faturate the atmofphere with water, or fill it with vapour in its greateft heat ; and the mixture of the different parts of the atmofphere would only conduce to temper the faturation, with- out producing any condenfation of vapour in the mean degrees of heat. But when, in confequence of the declining fun, the influence of the general cooling caufe mould prevail, the at- mofphere would gradually become clouded, and be darkened. This cloudinefs would increafe to a general diftillation of the condenfed vapour j and this diftillation would be uniformly continued, until the returning fummer flipuld change the ftate of condenfation to that of evaporation, SUCH a fyftem as this, of fix months rain and fix months drought, conftantly fucceeding, would not have prefented us with all that variety of beautiful objects which we now behold ; nor would it, like the prefent conftitution of this world, appear calculated with all that wifdom of defign which we may per- ceive to be in the poffibility of things ; for fuch an uniform excefs of cloud and condenfation, on the one hand, and of fun- ihine and evaporation, on the other, would not appear to fulfil the intention of providing fuftenance and fatisfadlion, as far as pomble, for every living thing ; whereas, in the actual fyftem, now under contemplation, while both the extremes of drought and of wetnefs are fo wifely avoided, temperate drought and moifture, rain and funftiine, fo beneficial to the ceconomy of this world, are every where beftowed with the moft provident attention, but not without a variety of different degrees ; which moft evidently marks out perfection in the defign, where fuch a multitude of different beings, dependent on the various tem- perament of thofe oppofite elements, are to be provided with the neceffary conditions for their life, for the maturity of the individual, and for the continuation of the race. G 2 PART $a THEORY of RAIN. "PART 11. The Theory of Rain applied to natural Appearances. {Read by the Author ', April 12. 1784.] TTAVING formed a theory of rain, founded upon a general •*• -*• law refpecting the condenfation of aqueous vapour con- tained in the air, it is now propofed to make fome application of this theory to natural events, in conlidering the meteorolo- gical obfervations of the globe, and endeavouring, either to ex- plain appearances that are not otherwife underftood, or, from thofe appearances that are evident in themfelves, to draw con- clufions in confirmation of the theory. UPON this occafion, where there is an indefinite variety in a feries of particular obfervations, it is necefTary to inveftigate fome order in thofe events, and to form a generality among phenomena, which will then be phyfical truths, and may be compared with the theory. i^, IT may be required to fhow fome reafbn why, on all the furface of the earth in general, there are always feafons of rain, whether regular or irregular. Here the fubject of enquiry will properly refpect the generality of rain. C^/K, IT will be proper to confider fuch regular periodical rains, as may be found with the circumftances attending their production, which then would ferve to try the theory, or to il- luftrate it. Here the regularity of rain will be the object in view, and not its generality. 3 but RT of RAIN. 83 but the temperance of our climate may, in fome meafure, be produced in confequence of the variable nature of our winds. So far as this is the cafe, that the mixture of different dreams of the atmofphere temperates the heat and cold of our air, this operation mould be attended with proportionate condenfation of aqueous vapour. Here the theory is brought to the ted of obfervation. But, before deciding the point in queftion, let us underftand what it is which, in obfervation, mould be decifive with refpecl: to the theory. IT is not the quantity of rain which falls during the year, nor in any portion of it, that affords a principle by which to form a judgment in relation to the prefent queftion ; for it is the continuance of rain, and not the quantity, that is the objedl of enquiry. The number of days and hours, throughout the year, in which it rains, is, no doubt, a proper fubjecl for our obfervation, in order to form an eftimate with regard to the point in queftion ; but it is not itfelf that point in queftion. The point is the condenfation of aqueous vapour in the atmo- fphere ; and though no rain can fall without the condenfation of aqueous vapour, there may be much condenfation of that vapour, without rain, as a teftimony of that event. Thus we are led to direct our obfervation to other phenomena befides rain ; appearances which may be equally conclufive, in relation to the point to be decided, with rain itfelf. Now, thefe appear- ances, in which the condenfation of aqueous vapour is equally demonftrated with that of rain, are no other than cloudinefs in our atmofphere. THE queftion refpecling the theory being now brought to this ifl~ue, with regard to obfervation, it may be demanded, what is the proportion of ferene fky and cloudinefs in the at- mofphere that properly belongs to this climate ? Here is a que- ftion propofed, that requires not extreme exactnefs in its anfwer. I believe every body, from their recollection, will allow, that, for one day or hour of clear funfhine, there are two or thr-ee of L 2 cloudinefs 84 THEORT of R eloudinefs in the atmofphere ; and this is fufEcient for deter- mining the queftion, whether or not the condenfation of aque- ous vapour be prevalent in the climate of this ifland ? 8. CLOUDINESS in the fky being a demonftration of aque- ous condenfation in the atmofphere, in like manner as is the cafe with rain, this appearance may now be examined with re- gard to- the temperature of the air, in relation to heat and cold, that commonly attends on this occafion. Let us begin with fummer ; and fuppofe the weather to be warm ; that is, precife- ly in the natural temperature of the feafon. There is no que- flion with regard to the effecl of a clear iky, or continued funfhine : Heat is certainly the effecl of funfhine ; and this heat is accumulated in the earth, cateris paribus, in proportion to the intenfity of the light and the duration of the illumina- tion. The queftion now to be examined is this, what mould be the effecl of condenfation of aqueous vapour in the atmo- fphere at this feafon, and in this fummer temperature ; that is to fay, whether mould heat or cold be the confequence of this operation ? NOTHING is fb eafy as the anfwer to this queftion. We fup- pofe the atmofphere in the mean temperature of the fummer- feafon, and that a condenfation of aqueous vapour is produced by the admixture of a current of atmofphere in a different tem- perature. Now, as this effecl may be produced by the admix- ture of air, either hotter or colder than our atmofphere, which is fuppofed to be quite ferene, the effecl muft be a change of the temperature of our atmofphere, either to a greater or a lefa degree of heat than its mean temperature for the feafon, accord- ing as the fupervening atmofphere, producing eloudinefs in our fky, mail be either hotter or colder, in its temperature, than that in which we had been involved immediately before. FROM this conclusion, we will now draw a praclical obferva- tion, which may be of fome utility in trying the theory and explaining appearances. If the heat of the atmofphere be, at THEORT of RAIN. 85 at any time, above its mean temperature for the feafon, and a change {hall happen from a ferene flcy to cloudinefs, we have reafon to expect, that the extreme heat will be temperated, and the atmofphere confequently cooled. But, if the temperature of our atmofphere be below its mean heat for the feafon, then, from the change of clearnefs for a cloudy {ky, we have reafon to look for a change from cold to hot. FROM this alfo we have a proper explanation of a general ap- pearance, with regard to the ferenity of the fky, in every cli- mate, and in the oppofite feafons of fummer and winter ; for this ferene fky, or clear atmofphere, is perfectly confident with the two extremities of temperature ; that is, with that of heat, upon the one hand, and of cold, upon the other. It is only a mixture of thofe two extremes, that is to fay, of hot and cold atmofphere, which produces, at the fame time, cloudinefs to the fight, and temperance in relation to the fenfe of heat and cold. Thus will be explained a common obfervation, with re- gard to the weather of this country, that the air is always cold, below its mean temperature for the feafon, when the iky is clear. The country people allege that it is then froft, even in the midft of fummer. They probably find hoar-froft early in the morning, efpecially in the higher parts of the country ; and furely the making of ice in Bengal juftifies that obfervation. g. THE formation of hail is evidently upon the fame principle as that of fnow. The one is, therefore, equally with the other, explained by the theory. There are, however, peculiarities in the production of hail, which do not take place in that of fnow j but thefe peculiar circumftances are to us, perhaps, unknown ; and as there is nothing in the appearance of hail that is, in any refpect, inconfiftent with the theory, the confounding of fnow and hail brings no error into our fcience, nor affects the doc- trine with the leaft uncertainty. Hail is evidently formed by the collection of fmaller molecules^ which ultimately are of the nature 86 'THEORY of RAIN. nature of fnow ; and it is probably by means of electrical at- traction, that this collection is performed. i o. THERE is one appearance more, that often attends rain, and, therefore, mould be considered ; this is thunder, which fo frequently accompanies violent and fudden rain. But, as we are ignorant of any principle upon which electricity mould be the caufe of condenfing aqueous vapour in the atmofphere, this is not the place for examining what may be the effects of elec- tricity, with regard to aqueous vapour condenfed from its ela- ftic ftate, farther than that it is moft reafonable, and alfo con- fiflent with appearances, to fuppofe a more fudden attraction of the condenfed particles of water, than what happens upon other occafions, where even a degree of electrical repulfion may pre- ferve them from immediate contact, and protract the fall of rain, by fufpending the condenfed vapour in form of mifl. III. III. On the C A u s E s which affeft A TRICAL MEASUREMENTS. By JOHN PLATFAIR^ A. M. F. R. S. EDIN. and Prof ej/br of Mathematics in the Univerfity o EDINBURGH. \Readby the Author, March I. 1784. and Jan. 10. 1785.] 'HP HOUGH the labours of M. DE Luc, and of the excellent •*• obfervers who followed him, have brought the barome- trical meafurement of heights to very great exactnefs, they have not yet given to it the utmoft perfection it can attain. Some caufes of inaccuracy are ftill involved in it ; of which we ought, at lead, to eftimate the effects, if we cannot correct them altogether. The allowance made on account of the tem- perature of the air, implies in it a hypothefis that has not been examined, nor even exprefled ; and many other circumftances that affect the denfity of the atmofphere, have either been whol- ly omitted, or improperly introduced. The object of the pre- fent paper is to correct the errors that arife from thefe caufes, or, where that cannot be done, to affign the limits within which thofe errors are contained. i. THE mpft important correction introduced by M. DE Luc, is that which depends on the temperature of the air. His ob- fepvations led him to conclude, that, at a certain temperature, marked nearly by 69°^ of FAHRENHEIT, the difference of the logarithms of the heights of the mercury in the barome- ter, at the upper and the lower flations, gave the height of the former of thofe ftations above the latter in i oooths of a French toife ; but that at every other temperature above or below 69° |, a correction of .00223 of the whole was to be added or fubtracted 88 CAUSES which affeS the ACC URAC Y fubtracted for every degree of the thermometer. By obferva- tions ftill more accurate, it has been found, that the tempera- ture at which the difference of the logarithms gives the height in Englifh fathoms, is 32° ; and that the correction at other temperatures is .00243 of that difference, for every degree of the thermometer *. The manner of eflimating the tempera- ture of the air, adopted in all thefe obfervations, was the fame j an arithmetical mean was taken between the heights of the thermometers, at the upper and lower ftations, and was fup- pofed to be uniformly diffufed through the column of air in- tercepted between them. M. DE Luc, however, was fenfible that this fuppofition was inaccurate ; and General ROY, too, has obferved, that " one of the chief caufes of error in barome- ' trical computations proceeds from the mode of eftimating " the temperature of the column of air from that of its extre- ' mities, which muft be faulty in proportion as the height and ' difference of temperature are great f." It will appear, how- ever, that this eftimation, though adopted merely on account of its Simplicity, and probably on no other principle than the general one of taking a mean between two obfervations, which, taken fingly, are inaccurate, comes nearer to the truth than there was any reafon to expect. 2. IT is certain, that the atmofphere does not derive its heat from the immediate action of the folar rays. Thefe rays, in traverfing that fubtle and tranfparent medium, are but (light- ly refracted, and, meeting with little obftruction, neither lofc nor communicate much of their influence. We are aflured of this by many experiments ; and we know, that air, in the fodus of a burning glafs, is never heated till fome folid body be in- troduced. * General ROY makes the fixed temperature 32°, and the expanfion for i°, = .00245, at a medium. Sir G. SHUCKBURGH makes the fixed temperature 31*^, and the expanfion, as here afllgned, viz. .00243. Pi>i/. Tranf, 1777. It is fufficient for us at prefent to know thefe numbers nearly. According to the formula laid down hereafter, they will all re- quire to be corrected. + rial. Tranf. 1777. Of BAROMETRICAL MEASUREMENTS. 89 troduced. The atmofphere, therefore, is warmed by the earth, from the furface of which a quantity of heat is contirmally flowing off, and afcending through the different ftrata of the air into the regions of vacuity, or of sether. But this afcent, on the whole, is uniform; becaufe there is a certain tempera- ture which, though varied by periodical viciffitudes, remains under every parallel the fame, as to its mean quantity. Eve- ry ftratum, therefore, of the atmofphere, whatever be its height, gives out, at a medium, the fame quantity of heat that it re- ceives j in other words, its mean temperature is conflant, and neither increafes nor decreafes, on the whole. 3. LET there be three flrata, then, of the atmofphere of the fame thjcknefs x, and contiguous to one another ; fo that, if x be the diflance of the firft from the furface of the earth, that of the fecond may be x + x, and of the third x + zx. Let Z>, b\b\ be the heats of the flrata, and A, A', A", their denfities refpec- tively : Then, fince the quantity of heat, communicated in an inflant from one flratum of a fluid to a contiguous ftratum, mufl be, as the difference of their temperatures, multiplied in- to the denfity of the colder, and divided by the denfity of the warmer, the heat communicated, in an inflant, from the firft flratum to the fecond, = (b — b'}— ; and that communicated by the fecond to the third, = (b'—b"}—, . But, fince the difference of A and A" is indefinitely fmall, as alfo that of A' and A", we have— = i, and ^-— i ; fo that the heat gained by the mid- dle flratum is = b— b', and that loft by it — b' — b''. Now, thefe two quantities muft be equal, in order that the temperature of the ftratum may remain uniform, that is, h — b'~-h' — b" ; or, in other words, the heat of the firft ftratum exceeds the heat of the fecond, as much as the heat of the fecond exceeds the heat of the third. Therefore, the heat of the fucceffive ftrata muft decreafe, by equal differences, as we afcend through equal M fpaces, 90 CAUSES which affeEl the ACCURACY fpaces, into the atmofphere ; and, in general, the differences of temperature muft be proportional to the differences of eleva- tion. IT is to be underftood, however, that this law is fubject to certain anomalies, both annual and diurnal, and thofe inter- mixed with other accidental irregularities, which it would be difficult, perhaps impoflible, to afcertain. All that can be faid of it is, that it is the law which nature tends to obferve, and that the fum of the deviations from it, on the one fide, is pro- bably equal to the fum of thofe on the other. In an effect that is perpetually fubject to the action of accidental and unknown caufes, the difcovery of a mean, from which the departures on the oppofite fides are equal, is all that we can reafonably ex- pect ; and it is fufficient for us to know, that, though any par- ticular conclufion may involve an error, yet, if a multitude of inftances be taken, the errors will certainly correct one ano- ther. 4. IF, therefore, H be the heat at the furface of the earth, and h the heat at any given height a, above the furface, the heat, at any other height, as #, will be H . At a a medium, it is found, that FAHRENHEIT'S thermometer falls a degree for every 300 feet that we afcend into the atmofphere ; ib that, if x is expreffed in fathoms, the heat, at that height, . _ x 5°* 5. BUT though we are thus led to conclude, that the decreafe of heat in the fuperior flrata of the atmofphere is proportional to their elevation, there is no reafon to fuppofe, that the con- denfation produced by that decreafe is alfo uniform. Indeed, the experiments of General ROY have placed it beyond all doubt, that the variations in bulk of a given quantity of air are, by no means, proportional to its variations of temperature. Thofe experiments, though very numerous, are too few to afcertain exactly Of BAROMETRICAL MEASUREMENTS. 91 exactly the law which connects thefe variations, and we mufl have recourfe to reafoning, in order to fupply this defect. Let us fuppofe that air of a given temperatiire, for inflSnce, of 32°, by the lofs of one degree of heat, is contracted — or the part m of its whole bulk; its bulk, therefore, when of the temperature 3 1 °, will be i — m. By the lofs of another degree of heat, its tem- perature will be reduced to 30°, and its contraction will not be m, as before, b\\t m(i—m), which, fub tracked from I — m, its bulk, when of the temperature 31°, will give its bulk when of the temperature 30°, = I — 2m+mz — (i— mf. In like man- ner, after the lofs of 3° of heat, the bulk of the fame given quantity of air is {hewn to be (i— m) ; and, in general, its bulk is as that power of i — m, which is denoted by the difference between 32° and the given temperature. If, therefore, b be 32 — h the heat of a given quantity of air, (i — m) will be the fpace occupied by that air, fuppofing always that the compref- fing force is given. 6. THIS formula affigns a finite magnitude to the air as long as the diminution of its heat is lefs than infinite ; for as i— m is lefs than unity, when h becomes negative and infi- 32— A nite, ( i — m) becomes then, and not till then, = o. When 32-A b is affirmative, and greater than 32, (i — m} becomes greater than i, and increafes continually, being infinite when h is infinite. When 32— b is not very great, then 32-b (i—m) =!+(,&— 32) m nearly, which agrees with the hy- pothefis of uniform contraction and dilatation in moderate temperatures. THIS formula alfo reprefents, with tolerable exactnefs, the experiments which General ROY made with the manometer, ex- M 2 cepting 92 CAUSES which affetl the ACCURACY cepting in one circumftance ; for the formula makes the expan- fion increafe with the heat continually, though not uniform- ly ; wherea? the experiments give the greateft expanfion be- tween the temperatures of 60° and 70°. But this feems to be fo anomalous a fact, that it looks more like .fome accidental effect, produced from the particular manner of making the experiments, than a part of that law of nature, which connects the variations of bulk in bodies with their variations of tem- perature. 7. EOT this is not the only irregularity to which the ex- panfion of air by heat, and its contraction by cold, appear to •be fubject. We learn from the manometrical experiments of the fame excellent obferver, that a given variation of tempera- ture is accompanied with more or lefs variation of bulk, accord- ing as the* air is comprefled by a greater or a lefs force. Air, for inftance, comprefled by the weight of an entire atmofphere, was expanded by the 180 degrees from freezing to boiling, no lefs than 484 of thofe parts, whereof, at the temperature 32°, it occupied 1000. But the fame air, when comprefled only by i of an atmofphere, was, by the fame difference of heat, ex- panded no more than 141 parts; and that though the heat of boiling water was applied to it for an hour together. It is not eafy either to aflign the caufe, or to determine the law of this inequality. GeneraLRov has, indeed, conftructed a table of the correction to be made on account of it ; which proceeds on the fuppolition, that the expanfion, for one degree of heat, de- creafes in the fame proportion that the column of mercury in the barometer exceeds a given length. This given length is nearly — 4.5 inches ; fo that if b be the length of the column of mercury in the barometer, and .00252 the expanfion for one de- gree of heat, when the barometer is at 30 inches, and the tem- perature of the air 3 2 ?, then - :— x -00252, will be the expanfion of air of the fame temperature, for the fame change of heat, when Of BAROMETRICAL MEASUREMENTS. 93 when the mercury in the barometer flands at the height b. But this formula cannot be juft, otherwife air, comprefled by no greater a force than that of 4.5 inches of mercury, would be incapable of dilatation by heat, or contraction by cold. 8. IT will agree equally well with the experiments, and will involve no contradiction, even in the extreme cafes, to fuppofe, that the expanfion for a certain degree of heat is as a certain power of the compreffing force. If this power be called /<*, m being the expanfion for i degree of heat, when the mercury in the barometer is of the height l>, the expanfion for any other height of the mercury, as P, will be — m ; and combining this b with the former formula for expanfion (§ 5.), we have the fpace which air occupies, as far as it depends on temperature, 32 — h — (j 2£1) • From -a compari'fon of General ROY'S expe- riments *, ju appears to be between ~ and -f ; and it mufl be confefTed, that it is very difficult to affign its value within near- er limits. The form of the correction, however, if not its abfolute quantity, may be found from what is here determined. The lafl of thefe mufl be afcertained by future experiments. 9. THESE inequalities belong to the temperature of the air ', there is another that depends wholly on the compreffion. In deducing the rule for the meafurement of heights by the baro- meter, it has hitherto been fuppofed,. agreeably to the experi- ments of Mr BOYLE and M. MARIOTTE, that the denfity of the air, while its temperature remains the fame, is exactly as the' force that comprefTes it. But the experiments referred to were not accurate enough to eflablifh this law with abfolute preci- fion ; and they left room to fufpect a deviation from it, either when the compreffing force is very great or very fmall. Accord- ingly, from experiments defcribed in the gib. vol. of the Mem. of Berlin, it appears that the elaflicity of air of the temperas ture. * Tab. 2. and 3. p. 701. 703. Tranf. 1777. part 2. 94 CAUSES 'which affeft the ACCURACY ture 55°, or the comprefling force, increafes more flowly than the denfity ; fo that, if the comprefling force be doubled, the denfity will exceed the double by about a tenth part, &c. The law of this variation is exprefled with tolerable exactnefs, by fuppofing, that if D be the denfity of the air, and F the force comprefling it, then D — F , « being a very fmall fraction, nearly .0015. 10. IT muft be acknowledged, that new experiments are ne- ceflary to afcertain the law of this inequality \vith precifion. But as the formula D—F is very general, and might be rendered ftill more fo, withoxit affecting the method of integra- tion that is to be employed, the refult of that integration may be ufeful when our phyfical knowledge becomes more accurate. In the mean time, it may not be improper to remark, that the precife knowledge of the law which connects the comprefling force with the denfity of elaflic fluids, is an object well deferving the attention of natural philofophers. The determination of that law may go far to decide the queflion, whether the particles of fuch fluids are in contact or not ; that is, whether the elafti- city of each particle be a force that extends beyond the nearefl particles, Uke the forces of magnetifm and gravitation ; or one which, like that of a fpring, extends only to the bodies which are next it. It is an enquiry, therefore, of no lefs importance in general phyfics than in that particular fubject which we have here undertaken to examine. 11. THERE is one other correction to be applied to the height of a mountain, as it is ufually found from obfervations of the barometer. This arifes from the diminution of gravity, whe- ther we afcend or defcend from the furface of the earth. The effect of that diminution is to produce a twofold error ; be- caufe, on the fuppofition of uniform gravity, the weight of each particle of air is computed too great, and the weight of the co- lumn of mercury in the barometer, that is not on the furface, is alfo Of BAROMETRICAL MEASUREMENTS. 95 alfo reckoned too great. The effect of both thefe errors is of the fame kind, tending to make the height lefs than it is in reality ; yet it is only the firft of them, and that too the leaft confide- rable, which has hitherto been taken into account. 12. IT were to be wifhed,that, to the caufes here enumerated, and that are to be introduced into the computation, we could add the operation of moifture, in altering the weight and ela- fticity of the air. But the law of that operation has not yet been difcovered ; and it will be fufficient to point out, in the conclufion of this paper, a method by which it may be deter- mined from obfervations of the barometer itfelf. BEFORE proceeding to the inveftigation of the effect which all thefe inequalities together muft produce, it is proper to re- mark, that the two inequalities in the expanfion of air, taken notice of (§ 5. and 7.), after having been difcovered by Ge- neral ROY, were applied by him to correct the height of moun- tains, meafured by the barometer ; but that it is, by no means, certain, that he has given to thofe corrections the precife form which they ought to have. This, indeed, cannot be known, un- lefs the effect of each inequality, on a fingle ftratum, be firft in- troduced into the differential equation between the denfity of the air and the height above the furface, and the amount of its effect on a whole column of air be deduced from thence by in- tegration. 13. LET j, then, be the denfity of the air, at any height x above the furface of the earth, the heat at the furface be- ing — Hy expreffed in degrees of FAHRENHEIT'S thermometer. If alfo x be fuch a number, that x# gives the degrees by which the thermometer ftands lower at the height x than at the furface (§4.), the temperature at the height x will be=H — *x; and, if the expanfion of a given quantity of air, which occupies the fpace i, and is of the temperature 32°, for i° of heat, be called OT, then, abftracting at prefent from that inequality of expanfion 96 CAUSES which affeSl the ACCURACY expanfion which depends on preflure, we have the fpace occu- pied by that fame quantity of air, 'when it is of the temperature 32— H — A#, equal to (i— m) : Or, making 32 — H— r, we have the required fpace =: (i— m) Now, if the given quantity of air, of which the bulk has been fuppofed — i, and the temperature = 32°, be compreffed by a column of air of the fame denfity and temperature with itfelf, but of the height/, and if its denlity, in this cafe, be alfo called i ; then, in the cafe of its having any other tempe- rature, as H — AX, and being comprefTed by any other force, as —fyx, or the weight of the fuperincumbent air at the height *-, T /"vv we have i : y : : p : - TT^> and likewife (i— »z). —fvx y - — " i— m) No account is here taken of the diminution of gravity, any more than of the departure of the law of the elafticity of air from diredl proportionality to the denfity ( § 8.), becaufe it is convenient to confider the problem at firft under the more fim- ple view, where only the two firft inequalities are intro- duced. 13. SINCE y — T+/X7 we have py(i — m) = —/yx, and . i — m) (i — m py ' x Or, — (i— m) Hence Of BAROMETRICAL MEASUREMENTS. 97 Hence, making log.(i — m) — g, py_ . x — _ — • P 1°£>y+p log- C = — z) IF D denote the denfity of the air at the furface of the earth, D will be the value of y> when x — o, and fo p (log. D+ log. C") = - - - -. Therefore plog.C— -- pkg.D; and fo by fubftituting for \?(i— »z) . C, p(log.y—log. D) + - i^ - - = or changing the figns, . D—log.y) THIS equation exhibits, in general, the relation between the denfity of any ftratum of air, and the height of that flratum above the furface of the earth, on the fuppofitions that the heat of the atmofphere decreafes uniformly as wfiTafcend, and that the contraction produced in air by cold, obferves the law defcri- bed in § 5. It might be confidered as an equation to a curve, of which the abfciffae reprefented the height of the diffe- rent flrata of the atmofphere, and the ordinates, the denudes of thofe flrata : This curve would evidently be different from the logarithmic, but would be found to have certain relations to it not uninterefling, and not difficult to trace, if we had leifure for fuch a digreffion. N 14. LET 98 CAUSES 14. LET us now fuppofe that z is the whole height to be meafured, and that A is the denfity at that height, the tempera- ture there being alfo found — /&, by obfervation. If then x be- come = 2, and y =. A, we will alfo have AZ =: H — b, and T+AZ zr H—h 32 — H+H — h = 32 — h =: r — b, making r — 32. Alfo A =. - . z Therefore, by fubflituting thefe values of y, x, A, and T+AZ, in the preceding equation, we have, Hence, by tranfpofition, ttfc. Sp (#—£) (log. D—log. &—(H—b) g) - z (( i— »i) — ( I-HB) } J and x - gp (H~b^ (log' D~log- A~ C^~ ^)cf ). Li — r h — r (I— OT) — (I— OT) THUS the height of any column of air is exprefled in ter.ms of the denfity, and of the temperature at the top and bottom of it \ the equation for the height, though an exponential one in its general form, admitting of an eafy refolution, from the circum- ftance of AZ being given by the obfervations of the thermome- ter. 15. THAT this formula may be applied to the meafurement of heights, it is neceflary to introduce into it the lengths of the columns of mercury in the barometer, inflead of the denfities of the air, at the lower and upper flations. Let b be the height at which the mercury ftands in the lower barometer, and (3 that at which it ftands in the higher barometer j then, fince b is the compreffing force at the furface of the earth, we have Of BAROMETRICAL MEASUREMENTS. 99 D = - ;r^j j and, for a like reafon, A = - ^y There- (i— m) (i — ni) fore, log.D = log.b — (r — H}g, and — /o^.A = — log.$+(r — h}g. Hence log.D — /C^.A = log.b — log.$+(H—h}g, and fubftituting for log. D— log. A in the formula of the laft feclion, _ H-r h-r (i — m) — (i — m) 1 6. THIS is the exacT: value of z, or of the whole height to be meafured, on the fuppofition that the heat of the atmofphere decreafes uniformly as the height increafes ; and that the con- tradlion for a given difference of heat decreafes according to the law defcribed in § 5. But, in order that it may be more con- venient for computation, and may be more eafily compared with the formula now in ufe, the quantity - jj— muft be reduced into a feries. Now (i — TW) — (i — m) rr - r — H—r a — r —TO) — (i — m) (i—m) - ^ gu(. from ^g nature Of logarithms, (g being, H h (i — m) — (i — m) as before, the logarithm of i — m) H H*g* #V ~ - + —- + &c- And —(i— « = —!— bj— — — feff. Therefore H N 2 and ico CAUSES which affeff the ACCURACY and H+b Hence « —p(hg.b — %. 17. THESE feries will not converge faft, unlefs rgy Hg, and hgt be all of them quantities much lefs than unity. Now, as m, or the expanfion of air of the temperature r, for i ° of heat, is, in fact, very fmall, being nearly — .00245, an<^ as g> or ^Q ^°ga- rithm of I — »z, muft, of confequence, be nearly = — m =. — .00245, it is plain, that, in all moderate temperatures, thefe feries will converge with great rapidity ; though, in extreme cafes, where z is fuppofed vaftly great, and where h may be ne- gative, and alfo great, the feries in the denominator may con- verge fo flowly that recourfe muft be had to the formula in § 15. from which no quantities are rejedled. WHEN »z, and, of confequence, gt are very fmall, and when H and h do not differ much from r, the preceding formula, agreeably to a remark in § 6. will comprehend the cafe of uni- form expanfion, and will give the fame expreffion for the height, that would be derived from confidering only the equable de- creafe of heat as we afcend in the atmofphere. Now, as in the cafe fuppofed, we may rejecl all the powers of g but the firft, and may alfo fuppofe g — — /», we have z = fC<4-~ — r«) (log.b—log. (3). 18. THIS Of BAROMETRICAL MEASUREMENTS. 101 1 8. THIS laft is precifely the formula of M. DE Luc, if we give to />, r, and m, the proper values *. It was difcovered by that ingenious and indefatigable obferver, without any enquiry into the propagation of heat through the atmofphere, the prin- ciple on which it depends ; and, that fo near an approximation to the truth mould have been thus obtained, is to be confidered as a fingular inftance of fagacity or of good fortune. -For if the heat of the air diminifhed, not in the fimple ratio of the increafe of the height, but in that of any power of it, fo as to be exprefs- ed by H — A*", then, by computing as has been done above, we mould find z = p(i+m(- : rp log. — . Here the tempe- rature from which r, or the fixt temperature, is to be fubtracl- . . H+b , nH+b . ed, is not , but : and this is a formula which con- 2 7Z+I jefture or experiment alone would fcarcely have difcovered. IT is farther to be remarked of the formula z — p(i+m ^ rp log. -—• that it is rigoroufly juft, if we IT 1 L fuppofe the temperature — - to be uniformly difFufed through the column of air, of which the height is to be meafured, as is done by Dr HORSLEY in his theory of M. DE Luc's rules f ; but that, on a fuppolition, more conformable to nature, of the heat diminifhing in the fame proportion as the height increafes, it is only an approximation to the truth, or the firft term of a feries, whereof the other terms are rejected as inconsiderable. 19. THE * If we take M. DE Luc's rule, as improved by the later obfervations of General ROT and Sir GEORGE SHUCKBURGH, /> — 4342.9448 :r the modulus of the tabular loga- rithms multiplied by 10000 : r — 32° and m — .00245 nearly. It is unneceflary to re- mark, that the logarithms underftood in all thefe formulas are hyperbolic logarithms, and that the multiplication of them by p is faved, by ufing the tabular logarithms^ and ma- king the firft four places of them, excluding the index, integers. f Phil. Tranf. vol. 64. part I. 102 CA USES which affca the ACC URACY 19. THE amount of the terms which are thus rejected comes now to be considered ; and it will be afcertained with fufficient accuracy, if we compute the fecond term of the feries, or that which involves in it m * . Now ; *+rf+— i 2 ffj* and £• = %.(i — »0 = — m-\ --- SsV. fo that ,f* = Therefore, by fubftitution, H* 4 2 12 THIS is the coefficient of phg.—, which gives 0, corrected both for the temperature of the air and the firft inequality of expanfion, (§ 5). The term (— — -- A m, is M. DE Luc's cor- \ 2 / redlion, as has been already obferved, the third term, viz. i r H+h r*—r(H+b) H*+AHb+b\ ( --- — ^ -- v T ' H -- 3J: — 3--]»z% contains not only \ 2 4 2 12 / a part which depends on the equable decreafe of heat as we afcend in the atmofphere, but alfo one which arifes from the above mentioned inequality of expanfion. 2-0. THE Of BAROMETRICAL MEASUREMENTS. 103 20. THE term involving m * , that has now been computed, will rarely amount to any thing confiderable. The coefficient of it vanifhes when both H and b are equal to r, but increafes as thefe two quantities recede from r on either fide. In no in- ftance where the barometer is to be applied to actual meafure- ment, will the correction probably be found greater than in de- termining the height of Cora9on above the level of the South Sea, where If, or the height of the thermometer at that level, was 84°!, and £, or the height of the thermometer at the top of the mountain, 43° i ; the coefficient of m2 comes out, in this cafe 4-426, and m3 being = .000006 — (.00245)% the cor- rection = .00259, or nearly — of the height of the moun- tain, as found before any correction was applied, or = 40 feet nearly. It is to be remarked, too, that, for every value of H, or of the temperature at the lower flation, there are two values of b, or the temperature at the upper ftation, that make the co- r efficient, ---- --- 1 -- , and, of confe- 242 12 quence, the correction depending on it equal to nothing. This is evident from the nature of the coefficient ; but, as the law by which this laft increafes and decreafes is, by no means, fimple, it were convenient to have it reduced into a table, for the dif- ferent values that might be affigned to H and b, from which it would be immediately obvious in what cafes it was to be taken into account, and when it might fafely be omitted. BUT though this correction may fometimes be of confe- quence enough to be included in the meafurement of heights, it is certain that it may be fafely neglected in the computation of the other corrections. For the error thereby committed in the eftimation of a new correction, will be nearly the fame part of the former correction, that the new one is of the whole height. If, for inftance, the new correction be — of the whole 104 CA USES ivhirb *Jia the ACCURACY whole height, the error committed in eftimating it will be but of the former correction ; and, if that did not ex- Z OO ceed — , the error in queftion will not exceed of the 400 40000 whole height. 21. IN computing the effect of the fecond inequality of ex- panfion, defcribed § 8. we may, therefore, abftract from the laft inequality, and may even fuppofe, with M. DE Luc, that the temperature, which is a mean between thofe of the extremities of a column of air, is uniformly diffufed through that column. Let the excefs of that mean, above the temperature r, or* r —f; and let (3, the height of the mercury in the up- permofl barometer, be confidered as variable. Then taking the formula of § 8. and fuppofing m to be the expanfion for i ° of heat, when the mercury in the barometer is of a given height, which we mall here call y *, (to avoid the confufion that would arife from naming it, as in the art. above referred to) and retaining all the other denominations as before, we have —fyx y — j •> , j ~— f ~~ . /» ^\ & Hence py(i+-^--\ — —fyx, fo that, taking the fluxions, py * According to the experiments of General ROY, above quoted, the expanfion of air, for 1° of heat, at the temperature 32°, is .00245 nearly, that air being comprefled at the fame time by the weight of a column of mercury 29.5 inches high. As we have fuppofed m, in the preceding computations, to be .00245, we muft fuppofe y — 29.5. The formula fuppofed here to give the fpace occupied by the air, fo far as heat is con- cerned, viz, i-^-'-L ft , is changed from the exponential expreffion of 5 8. in confequence if of what has been juft obferved about the effedl of neglecting one inequality in the com- putation of another. Of BAROMETRICAL MEASUREMENTS. 105 ft, — i _ pfmB v pfmuvQ 8 . ,,..,. py+ja K J +FJ WK - - = —yx, and, dividing by j, *" • yy To exterminate from this equation y and yt it is to be re marked, that v = - ^ — ~r , and that therefore ' M /«l ^tufa Q — — — — — — — . Hence, by fubffttution, x v ft " ^— i ^u— i _ a a 3 jtt— j * — JL + {^._A — (i+f*)>|3 P f* 2 2 2 p— But . therefore x = p( — | -- JjW_ -- 1 ^ ^g other terms deftroying * one another. By integration, then,'* — p( — hg.$ — ^-^--+C). If C be taken fuch that x may vanifh when (3 — by the height. of the mercury in the lower barometer, we will have /» *\\ b fm(b —3 ) .— + J ^ ^ W O 22. THAT io6 CAUSES which ajfeff the ACCURACY 22. THAT it may appear wherein this formula differs from. (K ft the ordinary one, inftead of b and P , we muft introduce log. bt and log. (3, which, when b and P are not very unequal, may be done without difficulty. For we have I". b_ 7: & .P IA* / fl \3 ;**/ U \» rm r .— + — ( kg . — ) -f — (%. — J + tfc. Therefore /*• y That is> &-P = plof* + £&%**£& > reJeainS a11 ^ « /^ .,* jj & P terms which involve powers, of log.—) of /o^.—-, and off*, high- er than the fquare. Hence alfo, ifm bQ . ''P ' f*v" /*/OT 3 23. THIS Of BAROMETRICAL MEASUREMENTS. 107 23. THIS formula includes the correction to be made for that inequality of the expanfion of air by heat which depends on its compreffion, and which was defcribed at the yth and 8th articles. The firfl term of the formula, viss.p lof.—t is the differ- ence of the tabular logarithms of b and (3. The fecond, viz* fmplog.—^ is M. DE Luc's correction, and the fame that was R already invefligafced, §17. The third, viz. l-*— l°S- — r X P log.-— is the correction for the above mentioned 2 7 F inequality of- expanfion. It is of a form very convenient for computation; for the former correction being rr fmpkg.—^ we need only multiply it by --& the other, on the diminution of gra- vity as we afcend from the furface of the earth. It was ob- ferved (§ 9.), that, if D denote the denfity of the air, and F l+n the compreffing force, D — F . But the force, compreffing a ftratum of the atmofphere at the height x above the furface of the earth, and of the denfity j', which, on the fuppofition of uniform gravity, is denoted by — fyx, on that of gravity decreafing as the v power of the diftance from the centre of the - 9 earth, is denoted by — '(• yx ; where s is the femidiame- J (-T+*) ' ter of the earth. This is evident, becaufe the weight of each ftratum of air is proportional to its denfity, multiplied into the accelerating force which draws the particles of it toward the earth. Now, let q be the length of fuch a column of mercury, that air, compreflfed by it, would be of the fame denfity with the mercury itfelf, which denfity, in all the preceding invefti- gations, is underflood to be conftant, and to be = i * j r then, * THE mercury in the barometers is fuppofed to be reduced to a fixed temperature, by the application of a correction on account of the thermometers attached to them, after the manner of M. DE Luc, or of General ROY ; the latter reduces the mercury always to the temperature of 32°. When the difference of temperature is not very great in the two •barometers, the correction of their heights may be made according to the very ingenious remark of the aftronomer royal. Phil. Tranf. vol. 64. part i. f. 164. Of BAROMETRICAL MEASUREMENTS. 109 — — yx then, , : , : : -±, and • In which formula, all the inequalities that have been enume- rated are expreffed, except that which was confidered in the two T+A* preceding articles. Hence, multiplying by q(r — /») , and taking the fluxions, there comes out, "»~ --y v(i— m) --j J^ Dividing therefore by y, •* 5 and making^1" = vt and, confequently, — n 75^ ~2-' • i ,*- y = v, We have i+ra^ • , , *T» MA P- , N *•-<•" . V (l1 — ?«) * 2_ ^ fi — Til) X = xx \ x 5- (J+A:) This no CAUSES which affeft the ACC URA CT This equation will become integrable if it be multiplied by — *x (i — ;«) , for it is then ns j r f m and io v ft — ; a I • >x ' (/+*) (!— OT) H-n But i; — j; = y , therefore, a I » ** V (,+*) (!_«) 25. IT is neceflary to introduce (3 into this formula, by fub- ftituting for /, its value, = — - j^-j — « — ^7 j and, therefore, as 5 (i— w) 3 - we q 0+*) (i—ffz) (i— m) ' m. i+« n/ »« n ~ (j / > *x S P or Of BAROMETRICAL MEASUREMENTS. in or c _ ' »« H ' Q (s+x) (i— m) 26. IN the cafes which actually take place in nature, v is either equal to + 2, or to — I. It is equal to + 2, when the barometer is raifed above the furface of the earth, and to — r, when it is depreffed below it. When * = + 2, the laft equa- tion becomes n Ztt t 2 .q (j+y) (l— m} nt_/- x ___ in n n I 2 ?vw / ft - (J+*)(i— m) When x is fuppofed very fmall in comparifon of s, the fluent f -- 2 - A* may ^e exPreu"e(i by a feries, converging with ^ 0+*) (I— OT) fuch rapidity, that the two firft terms will be fufficient for the prefent purpofe. Now, as 2 I / 2*N . ns2 & — [i -- ) nearly, — / - - - becomes s2 t s J J q / *x (i — ffz) _ n , _ *x 2^\ " / I 2* 2 \ — — / (l — m) x (i— — ) ~ (— ). ?/V s' **\ *S *P ^V ? C1— m) n Therefore, -^i )' To define C, « muft be put := o, 1 12 CAUSES which affeEl the ACCURACY = o, and |3 = b, fo that o _ g ( * "0. + _f_( 1_ + _*^ \ . if this vajue be fubftituted for 7 2 O O T ?, and if all the terms be divided by (i — m) , we {hall have n in n q (s+x~) a n I i i — -f THE approximation which has been ufed here for finding • the fluent /— — - - — , is fufficiently exadl, becaufe no ' terms have been rejecled but fuch as are divided by s2, and which, of confequence, are extremely imall in refpedl of the reft. 27. WE are now to fuppofe, that x becomes equal to z, or to the whole height that is to be meafured ; then alfo, H—b = r— h, x = - } and T = r— H, as in § 14. ', z n in n and fo by fubftitution, i£±L — J_ _ 21 n n — —h} (i — TO) Of BAROMETRICAL MEASUREMENTS. 113 nz / r r-H ( ~~H-3 £_£)(!— «i) \ (i— my 2* , fa *'(«-*) qs(H- . / H-r O n that — — can have no definite fignification, unlefs ^, (3, n n «(3 nb and q be all exprefled in terms of the fame meafure. As the i+n conveniency of computation requires that p or q fhould be ex- prefled in fathoms, fo b and P muft alfo be exprefled in parts of a fathom. The fame is true of the logarithmic expreflion, — log.b$, to which the preceding one is reduced. Thus, if b — 30 inches, and (3 = 20 inches, we muft make b — — , P a. and CAUSES which affca the ACCURACY and (3 = — , fo that *(3 = — ^— , half the hyperbolic logarithm of which, or that of 5 . , is = — 1.0782, and this multiplied o \/o into — », fuppofing « — .0015, gives -I- .0016 to be multiplied into A, or the height as already approximated. The correction here is, therefore, about 6 of A. In other cafes, it will ex- ceed this proportion as b$ diminifhes, but (becaufe £|3 will rare- 25 \ i ly be greater than - ) . its minimum will be about - . In 144 770 the meafurement of great heights, therefore, this equation may deferve to be confidered. 3 1 . WE come now to find the correction which muft be made on the ordinary rule, on account of the diminution of gravity as we afcend from the furface of the earth. By § 27. we have, f H~r 22 A— r 2Z h—r (i—m) +______ (i — /«) . an jjj^g we (i—m) +______ (i — /«) \ . ready, that z = - R_r -- - nearly, if we fub- (i — ;«) — (i — m) ftitute this value of js, or rather that which was before derived from Of BAROMETRICAL MEASUREMENTS. 117 / a n\ , H+h \l q q\ from it, viz. % = ?(i+OT(— rJJ ~ • — I , in all the \«|3 nb / terms of this equation, into which s enters as a divifor, we mall have a new and more accurate value of z, and, by a like procefs, might from thence obtain one ftill more accurate, if it were neceflary. Now, if this be done, and if the correction depending on « be fuppofed fufEciently determined by the computations of the two preceding articles, fo that it may now be neglected altoge- ther ; and if m alfo be fo fmall, that all the powers of it, higher than the firft, may be neglected, we obtain, ,H+b x\ , b .\ . p, ,H+b ^\, )J log— + JL^+m(£Z. -- r)J log.— 32. THE firft term of the preceding equation is the height corrected by M. DE Luc's method ; the fecond term, viz. 2p3/ H+h * b — [i+m( --- r)\ log.— , is the correction for the diminu- S » 2 / p tion of the weight of the quickfilver in the uppermoft barome- ter j and the third term, or —(I+m(— -- >")) (lo£'~& the correction for the gradual diminution of the weight of the air in the different ftrata between the lower and the upper fta- ftion. The laft of thefe two corrections, which, in all ordinary cafes, is alfo the lead, is the only one of them to which, it would feem, that any attention has hitherto been paid. The other, or the effect of the diminution of the gravity of the quickfilver, was included in this inveftigation, when, at § 25. we fubftituted for y, 1 1 8 CAUSES which afeff the ACCURACY / V its value, I+s T+Aa. . It is found by making as j- to q . r)J , f0 twice the height, computed by the ordi- nary method, to a fourth proportional, which is to be added to that height. THE correction for the diminimed gravity of the air is a third proportional to the femi- diameter of the earth, and the height, as computed by the ordinary rule. For different moun- tains, therefore, this correction is in the duplicate ratio of their heights. THESE corrections are both additive, and for fuch a moun- tain as Coracon may be equal, the fir ft to 42, and the fecond to 12 feet. 33. IN the meafurement of depths below the furface of the earth, /3 is greater than #, and v •= — i, fo that the compreffing / rs—x .\l+n force, at any depth x below the furface, is = (J — - — J*J , where the fluent is affirmative, not negative, as in all the pre- ceding inftances, becaufe the air* which, by its weight, com- preffes the ftratum at the depth x, is on the fame fide of that ftratum with #, whereas it was before on the oppofite fide. Making, therefore, y = T+A* , we have, p(i— m) by proceeding as above, H+b x 0 p*i ,H+b In Of BAR OME TRICAL MEASUREMENTS. 1 1 9 In this formula, the fecond term, viz. (i+m( OV0 J but in this is only half of what it was in the former. That thefe laft corrections fhould be each half of the correfponding one in the preceding cafe, might have been concluded from this, that, by any fmall afcent above the furface of the earth, the force of gravity is twice as much diminifhed as by an equal defcent below it. The reafon of the change of the figns in the fecond term is alfo fumciently obvious. 34. THOUGH thefe corrections fuppofe that z is fmall in re- fpect of /, yet they would afford a fufficient approximation to the truth, were we to reafon concerning much greater depths under the furface of the earth than any to which man can pe- netrate. For example, on a fuppofition that the atmofphere was continued downwards within the earth, its denfity being always as its compreflion, and its temperature every where the fame, (and, for the greater cafe of computation equal to r), let it be required to find, at what depth its denfity would be- come equal to that of mercury. To refolve this problem, it muft be remembered, that the denfity of mercury, throughout all this computation, has been fvippofed = i, and p equal to the height of a column of mercury, which, gravitating every where with the fame force as at the furface, would, by its pref- fure, give to air the denfity i . If a barometer, therefore, were carried down to the depth at which air was as denfe as mercu- ry, the mercury in it would rife to the height p, or to 4343 fathoms nearly, fuppofing, at the fame time, that its own gra- vity were not diminifhed. Now, on this fuppofition, (by § 33.) any 1 20 CA USES which affett the ACCURACY > any depreffion below the furface, as, z — plog.^-r + — (log.—\ b is * b I the temperature being fuppofed — r, and the term P2 I3 l°£--r being left out, as relating only to the diminution of S O the weight of the quickfilver in the lower barometer. If, then, b, or the column of mercury in the barometer at the furface, be 30 inches, or — of a fathom, and (3 •=. 4343, we find/>%--r- = joooo x tabular log. 10423 — 401 80 fathoms — 45. 6 miles near- P2 I & \ 2 ly. The fecond term, — \0&'~r) » (or tne fquare of the for- mer divided by the diameter of the earth), = + .25 of a mile, fo that z — 45-85 miles nearly. The approximation might be carried to much greater exac~lnefs if it were necefTary ; but this is fufficient to {hew, that, at a lefs depth under the furface than 46 miles, the denfity of air would become equal to that of quickfilver ; and if this conclufion appear, in any degree, pa- radoxical, it need only be confidered, that, abftracYmg from any diminution of the power of gravitation, the denfity of air would be nearly doubled by every 37 miles of defcent below the furface of the earth. 35. IF, again, we would form any conelufion concerning the limit to which our atmofphere may extend upwards, we muft J (J+JC) refume the formula, y ~ - j+^— — 9 ('— «0 and, if we would abftracl from the effect of the cold in the higher regions to reduce the atmofphere within narrower limits than thofe to which it would otherwife extend, we Of BAROME TRICAL MEASUREMENTS. 1 2 1 we may fuppofe the temperature r+f to be uniformly dif- fufed through it, and fo for (i — m) we may fubftitute i i+fm. Putting alfo a = g(i+fm)l+" , and making s+x, or the _r diftance from the centre, =:% ay1'' " — — /s'v~"yv ; where- fore, taking the fluxions, dividing by y, and integrating, To define C, fuppofe that y =. D when x == o, or when v = s •; n a then, "C = — D ' +0 — i).r ; and fo, n / _1_ JL_\ — ' D 1+a I+"l — r»— and making . = 2, M 36. Now, if « be aflarmative, as has been fuppofed, this for- mula, becaufe of the negative exponent of y, gives s infinite, when y rz o. The atmofphere, therefore, on this fuppofition, admits of no limit. But, if we fuppofe » to be negative, that is, if we fuppofe the denfity to be as the power i — n of the compreflion, inftead of i+», the formula of the laft article be- comes And 122 CAUSES which affeEi the ACCURACY And if we now fuppofe the atmofphere to terminate, or y to I— « become = o, then — = s(i -}, and the entire height of 71 \ *y J the atmofphere, or v = — • a r.i—1 s D n THIS value of'v may either be finite, infinite, or negative, according to the different magnitudes affigned to n and Z>. If thefe be fuch that s is equal to — D , it is obvious that v is n n infinite ; but if s be greater than — D , v muft be finite and affirmative. If s be lefs than — D . then v is negative ; n by which we are to underftand, that the height of the atmo- fphere is, as it were, more than infinite, or that its denfity is finite, even at an infinite diftance. It muft be remarked, too, that, when » is very fmall, as it muft be in the cafe of the i — n earth's atmofphere, D being nearly = i , we have v — s •— n As a •= 4343 fathoms, (on the fuppofition that the temperature of the atmofphere is 32°,) and as s — 3491840, it follows, from this formula, that, according as n is greater than .00125, equal to it, or lefs, the denfity of the atmofphere will vanifh at a fi- nite, an infinite, or not even at an infinite diftance. 37. BUT to return to what is the more immediate objedt of this paper, it will now be proper to bring into one view the Of HA ROME TRICAL MEASUR EMENDS. 1 23 the different corrections that have been inveftigated. We muft, therefore, recollect, that the coefficient p is the length of a co- lumn of mercury, which, preffing on air of the temperature r, would give to it the denfity of mercury, (which is denoted by unity), fuppofing, at the fame time, that the denfity of air is as the force comprefling it. Hence p is likewife the height of a homoge- neous column of air, of any denfity whatever, which, by its pref- fure, would make air of the fame denfity with itfelf ; or it is the height to which the atmofphere would extend above the furface of the earth, if it were reduced to the fame denfity throughout, which it has at the furface of the earth, when it is of the temperature r. It has been" found by experiment, that, when r = 32°, p is nearly equal to 4342.94 8 fathoms, which number is the modulus of the tabular logarithms multiplied by 10000. This determination, however, is only to be confidered as approaching to the truth, if we are to have regard to the fol- lowing corrections. Inftead of />, in fome of thefe inveftigations, we have ufed q to denote the height of a column of mercury, which, fuppofing the condenfation of air to be as the power i + « of the comprefling force, would, by its preflure, give to air the denfity of mercury, or the denfity i; q cannot differ much from/>, but its precife length is to be determined only by experiment. In what follows, p is put for the numeral coeffi- cient, whatever it may be, by which the formula muft be mul- tiplied to give the height in fathoms, or in any known mea- fure. THE expansion of air for one degree of heat, the temperature being 32°, and the height of the barometer 29.5 inches, is — m — .00245 nearly, f* is the exponent of a power fuch that & 39.5 being denoted by y, x m =. the expanfion for one ^ y degree of heat, when the mercury in the barometer (lands at (3. The value of /* is not certainly known ; it is probably be- tween 124 CAUSES which affeft the ACCURACT tween I and —. n is a number fuch, that the denfity of air is as the power i+n of the compreffing force ; it is fuppofed = .0015. THE heights of the mercury in the barometers, at the lower and upper ftations, are b and (3 ; H and h are the temperatures, marked by FAHRENHEIT'S thermometer at thofe ftations re- fpectively, and- r is put = /. 39. THEN, the firft approximation to the height, without b any correction, is, z — piog.-—. $ imo. The firft correction, M. DE Luc's, (§ 17.) — /H+h b zdo. THE correction for the decreafe of heat in the fuperior ftrata of the atmofphere, and for the firft inequality of ex- panfion, (§ 19.) = H+b r(r—H—h} H^+^Hb+h2\ b 4 ia 3//o. THE correction for the fecond inequality of expanfion, or for its variation by a given change of temperature, according um/H+b s b bQ to the prefTure, (§ 22.) : + — (— - -- r) plog.— x %.— j or, if E be put for M. DE Luc's, or the firft equation, this laft — + - - log . — - . But as i* does not appear to be very fmall, ft. n it will be more accurate to compute ^— - — —•¥—* , which in- fffy eludes in it both the firft and third corrections (§ 21.). 4/r. Of BAROMETRICAL MEASUREMENTS. 125 4/0. THE correction on account of the departure of the law of the elafticity of air, from that of the direct ratio of the den- fity, (§ 29.) = — -^-p(i+m(- '• — r)) log.— x log. bp. In this equation, b and (3 muft be exprefTed in the fame meafure with pi that is, in fathoms. 5/0. FOR the diminution of the weight of the quickfilver in. the upper barometer, there is an equation to be applied = 6/0. ON account of the diminifhed gravity of the air in a- fcending from the furface of the earth, there is a fixth correc- / , ^, rection = + £-(i + w(— - -- 0) f^.y) . WHEN a depth below the furface is to be meafured, the fifth equation becomes negative and lofes the multiplier 2 j the fixth remains affirmative, bxit is divided by 2. 40. THESE equations, even exclufive of the firft, may, in the meafurement of great heights, amount to a confiderable pro- portion of the whole. In the inftance of Cora9on, 15833 feet above the level of the fea, the greateft height to which the ba- rometer has ever been carried, the firft equation exceeds noo feet, and the third appears not to be lefs than — 300. The re- maining corrections are, indeed, lefs confiderable ; but, being all affirmative, they mufl not be entirely neglected. And, on the whole, it is certain, that, though the firft equation alone will give the height fufEciently exact, while it does not exceed five or fix thoufand feet, yet, at greater elevations, the cor- rections that have now been enumerated muft all be taken intoa account. To facilitate the computation by means of them, they ought to be reduced into tables adjufted to their proper ar- gtiments, after the values of p, m and r are accurately deter- mined,, . 126 CAUSES which affeEl the ACCURACY mined, by comparing the formula that has been given here with obfervations. But this would lead into difquifitions far exceeding the bounds of the prefent inquiry, the object of which is, to afcertain the form, rather than the abfolute quan- tity of thefe corrections. 41. IT is evident, that, in the preceding inveftigation, as well as in all the other methods of meafuring heights by the barometer, it is fuppofed, either that the one of the barometers is vertical to the other, or that a perfect aequilibrium prevails through that part of the atmofphere intercepted between them. The determination of the conftant quantity in the fore- going integrations, by fuppofing that b — j3 when x — o, or that the mercury in the two barometers ftands at the fame height in them, when they are at the fame diftance from the furface of the earth, obvioufly involves in it either the one or the other of thefe conditions. But the laft of them, the asquilibrium of the atmofphere, never takes place ; and, therefore, it is necefla- ry, in order that barometrical meafurements be perfectly accu- rate, that the one barometer be immediately above the other, or, at leaft, that the horizontal diftance between them be very fmall. If this be not the cafe, the unequal diftribution of the heat through the different parts of the fame ftratum of air will render it impomble to deduce the difference of the heights of the barometers from a comparifon of the columns of mercury contained in them. FOR inftance, let there be three barometers; the Jirji at the furface of the earth, the fecond raifed up into the air per- pendicularly above the^^r/?, and the third removed into a colder climate, but raifed up alfo into the air, fo as to have in it a co- lumn of mercury of the fame length with that in the fecond. Thefe two laft, when compared together by M. DE Luc's, or by the preceding rules, will appear to be at the fame height above the furface, or above the firft barometer. But, if each of them be compared with the Jirfl^ the fecond will appear more Of BAROMETRICAL MEASUREMENTS. 127 more elevated above it than the third, becaufe of the greater cold fuppofed to prevail in the region where this laft barometer is placed. Here, therefore, are two different determinations of the height of the third ftation above the firft, neither of which has any claim to be preferred to the other. It is evident, there- fore, that, in barometrical meafurements, there is always a de- gree of uncertainty introduced by the horizontal diflance be- tween the two ftations, and that, befide thofe accidental errors, which are of the lefs confequence, that, in a number of obfer- vations, they may nearly compenfate for one another. IT mufl be confefled, too, that we have not at prefent the means of removing this uncertainty, nor even of afcertaining its limits with tolerable exactnefs. Thefe depend on a problem which is no longer to be refolved by the principles of flaticks, but requires the motions of an elaftic fluid, under various de- grees of compreffion and rarefaction, to be determined. The folution, therefore, is extremely difficult ; and no refult, fuffi- ciently {imple to be of ufe in thefe computations, is ever likely to be obtained from it. IT would, however, be of confequence to determine, by obfer- vation, the mean height of the barometer at the level of the fea in the different regions of the earth. That mean height is not every where the fame. Under the line, it appears, from the ob- fervarions of M. BOUGUER, to be 29.852 inches, reducing the mercury to the temperature of 55° ; and in Britain, it is 30.04, reducing the mercury to the fame temperature. The mean temperature of the air, as well as its mean weight in different climates, will alfo require to be determined before the art of levelling extenfive tracts by the barometer can be brought to- perfection. 42. THERE is another caufe of error which, had the effects of it been fufficiently known, ought, no doubt, to have entered into this invefhigation. Moifture, when chemically united to air, or difTolved in it, fo as to compofe a part of the fame ho- mogeneous 128 CAUSES -which affeEl the ACCURACY mogeneous and invifible fluid, appears to have a powerful effect to encreafe the elaflicity of the air, and its expanfion for every additional degree of heat which it receives. In experiments -with the manometer*, it has been obferved, that, till the moifture was diffolved in the air, it had no fenfible effect: on its elaflicity j but that, as foon as it began to diffolve, the expan- fion, for one degree of heat, was encreafed, and continued to be fo, for every fucceflive addition of heat, from thence to the boiling point, where it became nine times- that of dry air. From this, too, it probably proceeded, that, at Spitzbergen, within ten degrees of the pole, a place where the circle of per- petual congelation in the atmofphere, approaches near to the furface of the earth, and where the air may naturally be fup- pofed to be very dry, the ufual rule for the meafurement of heights was found to err greatly in excefs, and it appeared, that the denfity of the air was greater than could have been inferred from its compreffion and its temperature. 43. THOUGH the judicious and accurate experiments of Ge- neral ROY have afcertained this effect of humidity, and have even gone far to determine the law of its operation, yet, for want of a meafure of the quantity of it, contained, at any given time, in the air, it is impoflible to make any applica- tion of this knowledge to the object under our confideration. While I was reflecting on this difficulty, it occurred, that the barometer itfelf might become a meafure of the humidity of the air, and that the error committed in the meafuring of a known height, if all other circumftances were taken in, would determine the quantity of that humidity. For, if we fuppofe, that the formula z •=. p(i+m( r^log. — gives the true height between the flations at* which two barometers have been obferved, when the moifture diflblved in the air is of its medium quantity, (which we may call unity), then, if that moifture * See General ROY'S experiments, fedtion 2. Phil. Tranf. vol. 67. part 2. Of BAROMETRICAL MEASUREMENTS. 129 moiflure be either increafed or diminifhed, the expreffion p (i+m(- -- r)J hg'-j- will no longer be equal to the true height, but muft be multiplied into i +» in order that it may be equal to z. No.w; this fraction + *• reprefents the excefs or defect of the moiflure diflolved in the air above or below its mean quantity ; or, more exactly, it is proportional to the in- creafe or diminution of the elafticity of the air arifing from / H 4- h . \ . b . that caufe. When^(i+»(— - -- ^Jlog.— is lefs than the true height, the fraction TT muft be affirmative, and indicates an increafe of elafticity, and, confequently, of moifture in the air. The contrary happens when p (i+m(— -- r)J log. — is greatr er than the true height. To determine v, fince * — z / H+b N . b Or if the error, that is z — P ^r-f?«(— r)) log. — = or it • — 44. To apply the barometer, therefore, for the purpofes of hygrometry, let there be two barometers fixed, the one at the top, and the other at the bottom of a high tower, or hill of moderate elevation, and let them be obferved at the fame in- ftant, together with their correfponding thermometers. If the difference of their heights, computed from thence, be equal precifely to the true difference, then is the moifture difTolved in the air no way different from its mean quantity; but if the difference of the heights fo computed, be greater or lefs than the truth, then *-, as above determined, will give the quantity by which the actual moifture in the air is lefs or greater than the mean quantity. The height at which the one barometer fliould be placed above the other, ought not to be fo fmall that R the 130 CAUSES which qffeSl the ACCURACY, &c. the unavoidable errors of obfervation, (which may amount to five feet), may be confiderable in refpect of the whole ; nor fo great as to introduce error from other caufes. It ought not, therefore, to be lefs than 100, nor much greater than 500 feet. 45. IN this manner, we (hall have a meafure, not indeed of the abfolute quantity of humidity diilblved in the air at a given time, but of the differences of the humidity diflblved in it at different times. Our hygrometer, therefore, will afford a fcale for the meafuring of moifture, not unlike that which the ther- mometer affords for the meafuring of heat ; and both deduced from the changes produced on the bulk, or the fpecific gravity of certain bodies. The beginning, or zero, of this fcale may al- fo be fixed by a certain and invariable rule, if we aflume m, in the preceding formula, (or the expanfion of air for one degree of heat), of a given magnitude, as, for inflance, .00245, and conceive the fcale to begin when «• — o, or when the formula, thus adjufled, gives the true height. THE hygrometer with which we will be thus furnifhed, feems well adapted to the purpofes of aftronomy. For it mea- fures the humidity chemically united with the air, and not merely the difpofition of the air to depofit that humidity, which, though much connected with the changes of the wea- ther, has little to do with the aftronomical refraction. It is true, that the fractions n may not be directly proportional to the differences of the humidity of the air, nor to the changes of refracting power, which thofe differences of humidity may produce ; but they are probably connected with thefe laft, by fome fixed and invariable law, which future experiments may be able to afcertain. Nor can this application of the ba- rometer fail of leading to fome ufeful conchifion ; for if, on trial, it fhall be found, that the operation of humidity in changing the fpecific gravity of the air, is over-ruled or con- cealed by the action of more powerful caufes, the difcovery, even of this fact, will give a value to the obfervations. IV. IV. On the USE of NEGATIVE Q^J A N T I T I E S in the SOLU- TION O/'PROBLEMS ^ALGEBRAIC EQJJATIONS. % WILLIAM GREENFIELD, M. A. F. R. S. EDIN. Mini- Jier of St Andrew's Church, and ProfeJJor of Rhetoric in the' Univerftty, of EDINBURGH. [Read by the Author > April 12. 1784.] BY the introduction of letters into algebra, to denote all the quantities, both known and unknown, involved in an equation, this very important advantage was .gained, that the final equation exhibited both a general rule for the folution of all fimilar problems, and alfo the limitations within which fuch problems were poflible. THIS, however, could not be underftood univerfally, if the figns -f- and — were not ufed in that extenfive fenfe in which they are now taken. For there are innumerable problems, which require us to confider fome of the quantities, as capable of ex- ifting in two oppofite fituations. Thus the diftance of a flar from the horizon, may include both its elevation at one time, and its depreffion at another. Hence, in the general invefliga- tion of this diftance, two different cafes arife, which may feem to require two different equations. MATHEMATICIANS, however, came naturally to confider fuch oppofite fituations as analogous to addition and fubtrac- tion. And, upon this ground, they made the equation to which the problem was reduced in the one cafe, ferve alfb for the other, in the following manner : If it was one of the un- known quantities which had changed its fituation, they took a negative root ; if it was one of the known quantities, they R 2 changed 132 On tie USE of NEGATIVE changed its fign in the equation. It is evident how vaft an ac- ceffion was thus gained to the elegance and univerfality of al- gebraical folutions. ALBERT GIRARD appears to have been the firft who obferved this ufe of negative roots. In his work, publifhed in the year 1629, entitled, Invention nouvelle en Algebre, he mentions it with great diftindnefs, and as a matter unknown before *. MONTUCLA, who acknowledges that he never faw the work of GIRARD, infills very ftrenuoufly that DES CARTES was the perfon, to whom we owe our knowledge of the nature and ufe of negative roots ', that it was he, who firft introduced them into geometry and algebra f. But without derogating from the very extraordinary merit of that philofopher, we muft beg leave, in this matter, to differ fomewhat from MONTUCLA. For, according to his own account, the work of GIRARD was publifhed in 1629, whereas the Geometry of DES CARTES was not publifhed till feven or eight years afterwards, in 163? t- WE may, perhaps, go farther, and add, that although DES CARTES indeed obferved, that the fhifting of a line or point from one fide of a given line or point to the other, made no change in the equation, except in the figns + and — , yet he did not fee, in its full extent, all the advantage to be derived from the ufe of negative quantities. This will appear not altoge- ther improbable from the following circumftances : In the third book * I HAVE not been able to procure the book ; but the following paflage, quoted by Dr HORSELEY, feems to warrant what has been aflerted : " Jufques icy nous n'avons encore " explique a quoy fervent Us folutions par mains, quand il y en a. La folution par " moins s'explique en geometric en retrogradant, et le moins recule la oil le + avance." And, after giving an inftance, he adds ; " Et ainfi faudrd-t-il entendre de toutes fblu- " tions par moins ; qui eft une chofe de confequence en geometric incognue aupara- 41 vant." HORSELEV'S NEWTON, vol. 1.^.171. note (»)• f MONTDCLA Hift. de Math. vol. 2. p. 85. J MONTUCLA Hift. de Math. vol. 2. p. 82. & 84. On lie USE of NEGATIVE QUANTITIES. 133 book of his Geometry, where he treats exprefsly of the nature of equations, he takes no notice of thofe which have all their roots negative j and, in the fecond book, where he mentions his new method of confidering curves, he fays nothing of ne- gative abfciflae and ordinates, although the analyfis of curves is, of all the parts of mathematics, that which moil obvioufly fuggefts and requires the ufe of the negative roots. IN fact, the ufe of negative quantities appears not to have been, either at this time, or for fome time afterwards, familiar to mathematicians. This is evident from the Elementa Cur- varum of JOHN DE WITT, a work, at that time, of fome me- rit, but which will be confidered, rather as affording a curi- ous piece of information in the life of that great man, than as adding to a fame, which is fo far fuperior to all literary emi- nence. In this work, which is publifhed by SCHOOTEN at the end of his edition of DBS CARTES'S Geometry, no notice is taken of negative abfciflae and ordinates : So that the^author is obliged to confider feparately two or more equations, which every mathematician at prefent, from the view of negative quantities, which is now become familiar, would confider as one fingle equation, denoting for one and the fame line refer- red to the fame axis, the relation between the abfciffse and or- dinates, through all the different cafes of their fituation with re- fpecl to each other, that is, through all the angles of the co- ordinates. Thus, in his fecond book, where he confiders the lines of the firft and fecond order, beyond which he does not go, he demonftrates, in the four firft theorems, that the four b x following equations belong to ftraight lines : i. y it/ bx bx bx 2. y = -- \-c.; 3- y = -- cs 4-y = --- \-c- But he does Q> d Cl not fhow, either in this or any other part of the work, that each of thefe equations, by changing the figns of y or », gives the relation between the abfcifs and ordinate, when the one or the i34 On the USE of NEGATIVE the other is taken in an oppofite fituation j and that the fecond and fourth equation ought to be confidered as one, and as be- longing to the fame ftraight line referred to the fame axis. EVEN long after this time, we find, that Dr WALLIS, al- though, in his Algebra, he confiders at fome length the meaning and ufe of negative qviantities, yet, in his Arithmetic of Itifi- mtes, falls into a ftrange miftake, which leads us to fufpeft, that his notions on this fubjecl: were not perfectly clear. For, obferving that his general expreffion for hyperbolic areas would, in certain cafes, be a fraction with a negative denominator, he did not perceive, that this exprefled the area on the other fide of the ordinate, inftead of the area fought ; but he contents himfelf with faying, that the denominator of the fraction be- ing lefs than nothing, denoted the area to be more than infinite. THAT even fome time afterwards, the ufe of negative quan- tities had not become familiar, appears from the aftonifhment which Dr HALLEY exprefles at his own difcovery of a formula, which, by the mere change of the figns, gave the focus both of converging and diverging rays, whether reflected or refradled by convex or concave fpecula or lenfes. And Mr MOLYNEUX fpeaks of the univerfality of HALLEY'S formula as fomewhat that refembled magic. t THUS it appears to have been long, before mathematicians ventured to employ negative quantities fb freely, as we now per- ceive them to be employed. The reafon of which probably was, that no fatisfadlory account had been given of the grounds upon which the conclufions drawn from them are founded. But the confiftency of thefe conclufions, with all the mod indifputable truths of the mathematical fciences, and the great beauty and advantage, derived from the very general fo- lutions which are thus obtained, gradually eftablifhed their ufe. STILL, however, a complaint remains, which appears to be too well founded, that the Method of negative quantities, as has been the cafe with fome other rules of the art, is fupport- ed, On the USE of NEGATIVE QUANTITIES. 135 cd, rather by induction, and analogy, than by mathematical de- monftration. But fomething more than this is to be expected from mathematicians ; and their knowledge of algebra will ftill be confidered as imperfect, if there be any of its operations which they cannot, in every letter and fign of it, explain as a feries of juft reafoning, capable of being exprefled in common language. Now, it does not appear that our inftructors in ma- thematics have enabled us to do this in the cafes to which we allude, that is, where negative quantities are found, without any intimation of the quantities from which they are fubtract- ed. In coniidering the abftract operations of addition, fub- traction, multiplication, SsV. we may indeed take negative quantities by themfelves : For here the meaning is obvious ; we are examining, in what manner fuch operations will affect thofe quantities, which are fubtracted from other quantities. But when we come to apply thefe operations to the bufinefs of al- gebra, the refolution of equations, it is not fo eafy to perceive, nor does it appear to have been fufficiently explained, in what light we are to confider negative quantities, or how mathemati^ cians are to be juftified in the ufe which they make of them. The very vague and unfatisfactory, and often myfterious ac- counts of the matter, which are given even by writers of the greateft eminence, ferve only to Ihew, that although they are fatisfied of the certainty of the method, yet they perceive that fomething ftill remains which ought to be explained, and of which no good explanation has been given. Mr Baron MASERES, indeed, has publimed a large work, which he entitles, " A Diflertation, on the ufe of the negative ' iign in algebra ; containing a demonftration of the rules ufu- ' ally given concerning it, and mewing how quadratic and ' cubic equations may be explained, without the conlideration ' of negative roots." But this difTertation contributes little to remove the difficulties complained of. For even allowing the author to be right in his notion, that it would be better " if ne- " gative 136 On theVSE of NEGATIVE " gative roots had never been admitted into algebra, or were ' again difcarded from it * •" yet ftill he has carried us to the length only of cubic equations. The truth is, that the whole bufinefs of algebra might be carried on without the confidera- tion of the negative roots. The difference between fuch a fyftem and the prefent, is precifely this j that wherever a problem re- quired us to confider any of the quantities, as exifting in oppo- fite fituations ; wherever, for inftance, a line or a point was to be confidered, as fituated firft on the right hand, and then on the left y it would be neceflary, to find and to refolve a feparate equa- tion for each of thefe cafes. Thus, in the analyfis of any par- ticular curve, it would be neceflary to have a feparate equation for each of the four angles of the co-ordinates ; except, indeed, the axes were fo chofen, as to make us certain that there were fome of thefe angles, in which no part of the curve was to be found. Since, therefore, the ufe of negative quantities frees us from this inconvenience,, which, in many cafes, particularly in the analyfis of curves, would be exceedingly perplexing ; and fince it evidently affords fo great elegance and univerfality to algebraical folutions ; to find our author gravely declaring that he can fee no advantage in it, is perfectly aftonifliing : As it is to be lamented, that he did not exert his induftry and ingenui- ty, rather to confirm than to deflroy ; rather to demonftrate, how far we might rely on the method of negative quantities, than to overturn at once fo great a part of the labours of the modern algebraifls. WHAT follows is an attempt to explain this fubjecl, without confidering the negative fign in any other light, than as the fign of fubtra&ion ; and without propofing any alteration in the received fyftem of algebra. * Diflert. on the Neg. Sign, p. 34. I. Of On the USE of NEGATIVE QUANTITIES. 137 I. Of the Negative Roots of Equations. I . Of Determinate Equations. IN the folution of problems by means of equations, the analyft fixes upon one or more quantities, by the determination of which all that is required may be known or performed. We fhall at prefent fuppofe that there is only one quantity to be determined. The problem {hews the conditions which are re- quired of this quantity ', and thefe conditions, as far as they can be fo ^xprefled, are reduced to .an equation of the common form, L . . . a + bx+cx2 + Wf. rr o. Here, according to the common method in the general notation of equations, the fign + denotes, at pleafure, either the addition or fubtradUon of the terms to which it is prefixed. IN many cafes, nothing elfe is required, but to determine the magnitude of the quantity fought. There the pofitive roots alone can determine the magnitude j fo that if the equation has no pofitive roots, or none which come within the limits of the problem, then the problem is impomble. BUT let the problem require us to determine, not only the different magnitudes of the line AB (#), but alfo, with refpec"l to each of thefe B •& _ ^ magnitudes, whether it lies on the right or left of the given point A. Here we fuppofe the problem to be fuch, that whether we reduce it to an equation, upon the fuppofition that AB lies to the right, or upon the fuppofition that it lies to the left, there is no circumftance, except only the oppofite fituation of ABy to make any difference in thefe equa- tions. IN this cafe, we make either fuppofition at pleafure ; as, for ihftance, that it lies to the right ; and, on this fuppofition, S we 138 On the USE of NEGATIVE QUANTITIES. we exprefs the conditions required of AB in an equation, as, L . . . a + bx + ex* + ISc. — o. Then, in determining the magnitude of AB in this direction, the politive roots are to be employed. Now, on the other fide of A, take MAt which we fhall de- note by X ; and let it be of any magnitude, not lefs than any of M ^ _ ^ _ f the negative roots of L. It is evi- dent that L may be reduced to the form • A + BX +BX + CX* 4- iCXx + Cx* * * - °' And this again may be reduced to the form N . . . . A+BX+x + CX+x+Vc. - o. THE equation Ar, therefore, is another expreffion of the con- ditions required of x, upon the fuppofition that it lies to the right of A. BUT if we make the contrary fuppofition, that AB lies to the left of A ; then fince this is the only alteration in the con- ditions which the equation N requires of x ; therefore, the con- ditions required of it, when it lies to the left of Ay will be ex- prefled in the equation N' . . . A+B(X—x) + C(X—xy+tfc. - o. Now, this equation may be reduced to the form A By On the USE of NE GAT WE $UAN?mES. 139 BY comparing this equation with M and L, it will be evi- dent that it may be reduced to the form L' . . . a — bx+cx* — t£c. — o. THIS equation L', therefore, exprefTes the conditions required of AB, when it lies to the left of A j and, confequently, the po- fitive roots of L determine the different magnitudes of AB in that fituation. BUT L' differs from L, only by having changed the figns of the terms involving the odd powers of x. Therefore L and L have the fame roots, except only that the pofitive roots of the one are the negative roots of the other. THEREFORE, the negative roots of the equation L, to which the problem is reduced, upon the fuppofition that AB lies to the right of A, are the pofitive roots of the equation to which it would be reduced, upon the fuppofition that AB lies to the left of A. Therefore, thefe negative roots are the determinations ofAB in this laft fituation. AGAIN: Let it be required to determine, not only the di~ Jlance of time between a certain event and a given inflant ; but alfo, whether the event happened after or before the given in- flant. Then reduce the problem to an equation, Z,, upon either fuppofition, as, for inflance, that it happened after ', and by af- fuming Xt a period of time immediately before the given in- flant, we can fhew, as above, that the negative roots of L will be the determination of the epoch, when it happened before the given inflant. IN like manner, let it be required to determine, not only the momentum of the force which afts in the right line AB, but alfo, whether it acls in the direHion AB, ^ % or in the direction BA. Then, if we reduce the problem to an equation, upon the fuppofition that it ads in the direction AB, we are to aflume X, an additional force adling in the fame direction. 82 IN On the USE of NEGATIVE IN like manner, let it be required to determine, not only the value of a certain fum of money, but alfo, whether it is part of a certain perfon's Jlock, or whether it is part of his debts. Then, if we reduce the problem to an equation, upon the fup-~ pofition that it is part of his flock ; we are to aflame X a fup- pofed additional quantity of ftock. THERE are cafes, therefore, where the quantity foxight is to be confidered in two different fituations, which may be repre- fented by addition and fxtbtraction from another aflignable quantity of the fame kind ; and where there is nothing in the problem, except only this oppofite fituation, which can produce any difference in the equations to which it is reducible upon each fuppofition. From the preceding obfervations it will ap- pear what may be underftood by the negative roots, and how mathematicians are juftified in the conclusions which they draw from them in fuch cafes. THE negative roots are fometimes alfo ufeful in the folutioni of problems relating to abflrael quantities. For the equation L . . . a-\-bx-\-cx* -f- &c. n o has the fame roots with the equation: L' . . . a — bx+cx* — % = 0. And On the USE of NEGATIVE ^UANflfJES. 145 And this again is reducible to the form, N . . . tfc. = o. THIS equation, therefore, is another expreflion of the condi- tions of the problem, upon the fuppofition that AB, AC are taken to the right of A. Now, by reafoning in the very fame manner as before, it is evi- dent, that when AB or AC is taken to the left, the conditions of the problem will ftill be exprefled by an equation, which will, in all refpecls, be the fame with /,, except only, that the quan- tity which has changed its fituation, will change its fign. FROM the whole, the two following conclufions feem to be . 118. 1 88 Method of making a they are overcharged, ftill more debilitated j may not a fub- ftance of eafy digeftion, which at once flrengthens the ftomach and nouriflies the body, become a powerful remedy in all fuch cafes ? AND if acute difeafes, efpecially of the febrile kind, are fre- quently attended with fymptoms of weaknefs and putridity, may it not be found, from its antifeptic and tonic powers, to be an ufeful corrector of the one, and reftorative from the other ? MAY not the fudden change it produced, in the firjl cafe, in the ftate of the patient's feelings, and efpecially of his deep, point it out as of ufe in all cafes of exceflive irritability ? MAY not the effect it had in reftoring his ftomach to its functions, recommend it in dyfpepfia ? And may not the vi- gour and plumpnefs which enfued from its ufe, indicate it in cafes even of confirmed atrophy ? HAVE we not reafon to believe, that it may be ufed to ad- vantage in the cure of nervous diforders in general, from the manner in which it operated in the fecond cafe? And in the in- cipient, perhaps even in the advanced ftages of phthifis, from the rapid and effectual change it occafioned in the pulmonary fymptoms of the third? AND may not its efficacy in the fourth cafe, encourage us to employ it in all cafes of fuppuration or ulcer, in which the bo- dy is threatened with hectic fever ? WHETHER all thefe queftions can be anfwered in the af- firmative, mufl be determined by future experience ; and, if they fhould, perhaps the fcarcity of mares milk in this coun- try would greatly circumfcribe its utility. HENCE enquiries will naturally be made, whether other fpe- cies of milk admit of a fimilar vinous fermentation, and what proportion of fpirit they contain. As thefe have never been the objeft, however, of my attention, I will here give the fubftance of Called by the Tartars KOUMISS. 189 what I have been able to learn from others refpedling that which is the inoft common, the milk of cows. Dr PALLAS*, in the work above quoted, fays, that cows milk is alfo fufceptible of the vinous fermentation, and that the Tartars prepare a wine from it in winter, when mares milk fails them ; that the wine prepared from cows milk, they call Airen ', but that they always prefer Koumifs when it can be got, as it is more agreeable, and contains a greater quantity of fpi- rit ; that Koumifs on diftillation yields of a weak fpirit one third, but that Airen yields only two ninth parts of its whole quan- tity y which fpirit they call Arlka. THIS account is confirmed by OSERETSKOWSKY, a Ruffian f, who accompanied LEPECHIN, and other academicians, in their travels through Siberia and Tartary. He publifhed lately a DifTertation on the ardent fpirit to be obtained from cows milk. FROM his experiments, it appears, that cows milk may be fer- mented with, or even without, fouring, provided fufficient time and agitation be employed ; that no fpirit could be produced from any one of its conflituent parts taken feparately, nor from any two of them, unlefs inafmuch as they were mixed with fome part of the third j that the milk, with all its parts in their natural proportion, was the moft productive of it j that the clofer it was kept, or, which is the fame thing, the more diffi- cultly the fixed air is allowed to efcape during the fermentation, (care being taken, however, that we do not endanger the burft- ing of the veflel), the more fpirit is obtained. He alfo informs us, that it had a fourer fmell before than after agitation ; that the quantity of fpirit was increafed, by allowing the fermented liquor to repofe for fome time before diftillation ; that from fix pints of milk, fermented in a clofe veffel, and thus fet to repofe, he obtained three ounces of ardent fpirit, of which one was confumed * Phyficalifch. Reife durch verfchied. provintz. des Ruflifch. Reichs, t. I. p. 316. £t 317. \ Specim. inaug. de Spir. Ardent, ex laft. Bub. Argentorat. 1778. 190 Method of making a WINE, &c. confumed in burning ; but that from the fame quantity of the fame milk, fermented in an open veflel, he could fcarcely obtain one ounce. THESE particulars of the fermentation of mares and cows milk are an interefting addition to the fa&s concerning fermentation in general ; a fubject fo very obfcure and imperfectly under- ftood, that I mall not hazard any remarks on it. My princi- pal intention was, to point out to phyficians what appears to me a powerful means which may be employed by them on ma- ny occaiions in the cure of difeafes. VII. VII. An IMPROVEMENT of the Method of correcting the O B- SERVED DISTANCE of the MOON from the S u N or a FIXED STAR. By the Rev. Mr THOMAS ELLIOT^ Mini- Jier of the Gofpel at Cavers. [Communicated by Mr RoBISON, General Secretary > Aug. 2. 1784.] PROBLEM. HAVING the apparent diftance of the Moon's centre from a fixed Star, or from the centre of the Sun, together with the apparent altitudes of their centres, to find the true diftance. SOLUTION. THE difference between the apparent and true altitudes, and the angles which the Moon and Star make with the zenith and each other, muft be known before the feveral corrections of di- ftance are computed. THE difference between the apparent and true altitude of a Star is the refraction in altitude, given p. 2. of Tables requi- Jite to be ufed 'with the nautical ephemer is. If the diftance was taken from the Sun in place of a Star, his refraction may be corrected by fubtracting from it his parallax in altitude, given at the end of the requifite tables, and the difference ufed inftead of the re- fraction of a Star ', and, if great accuracy is required, the mean refractions may be corrected by the barometer and thermome- ter, according to Dr BRADLEY'S rule, p. 130. requifite tables. To find the difference between the apparent and true altitude of the Moon, the horizontal parallax, given in the ephemeris for the preceding noon or midnight, muft be reduced to the time of obfervation, according to the inftructions in the requi- 1 92 Method of correcting the DISTANCE file tables. Then to the arithmetical complement of the loga- rithmic cofine of the moon's altitude, add the proportional lo- garithm of the reduced horizontal parallax, the fum will be the proportional logarithm of the parallax in altitude j from the parallax in altitude fubtract the refraction in altitude, and the remainder will be the difference between the apparent and true altitude of the moon ; which call the corrected parallax. IF, at the time of obfervation, the moon and ftar are in the fame vertical, which may fometimes happen in low latitudes, no angles are to be found. They will be in the fame vertical, and on the fame fide of the zenith, if the apparent diftance and lefler altitude together are equal to the greater altitude. In which cafe, the fum of the corrected parallax and ftar's refrac- tion, added to the apparent diftance when the moon's altitude is greateft, or fubtracted from it when the moon's altitude is leaft, will give the true diftance. They will alfo be on the fame vertical, but on oppofite fides of the zenith, if the apparent di- ftance, added to the fum of the altitudes, is equal to 180°. In this cafe, the difference of the corrected parallax and ftar's re- fraclion, fubtrafled from the apparent, will give the true di- ftance ; except when the moon is fo near the zenith, that the corrected parallax becomes lefs than the ftar's refraction, in which cafe the difference muft be added to the apparent di- ftance. IF the apparent altitudes are equal, the angles at the moon and ftar will alfo be equal, and may both be found at once, by adding the logarithmic tangent of the common altitude to the logarithmic tangent of half the apparent diftance, the fum, rejecting radius, will be the logarithmic cofine of each of the angles at the moon and ftar, and each of them will be acute, or lefs than 90°. WHEN the altitudes are unequal, the angles may be found by the following method ; To Of tie MOON from the SUN. 193 To the logarithmic cotangent of half the fum of the appa- rent altitudes add the logarithmic tangent of half their dif- ference, and from the fum fubtract the logarithmic tangent of half the apparent diftance, the remainder will be the logarithmic tangent of a i ft arc. THE fum of arc ift and half the apparent diftance, will be a 2cl arc. THE difference of arc ift and half the apparent diftance, will be a jd arc. To the log. tangent of arc 3d add the log. tangent of the greater altitude, the fum, rejecting radius, will be the log. co- fine, either of the angle itfelf at the higher object, between the other object and the zenith, or of its fupplement to 180°, as arc i ft is lefs or greater than the half diftance. As the applica- tion of the Jirji and third corrections depends on the quality of the angles, it muft be obferved, that, if arc ift is lefs than the half diftance, the angle itfelf will be found, and will be acute ; but if arc ift is greater than the half diftance, the angle found will be the fupplement of the angle at the higher object to 180% and the angle itfelf will be obtufe, or greater than 90°. Ne- verthelefs, if the greater altitude is that of the Moon, the co- fine thus found is to be ufed in computing thejirjl correction of diftance. To the log. tangent of arc ad add the log. tangent of the lefler altitude, the fum, rejecting radius, will be the log. cofine of the angle at the lower object, between the other object and the zenith, and will always be acute. THESE two angles being known, the feveral corrections of diftance will be found as follows : i. To the arithmetical complement of the log. cofine of the angle at the Moon, add the proportional logarithm of the cor- rected parallax, the fum will be the proportional logarithm of the firfl correction, which is to be added to the apparent di- B b ftance 194 Method of correcting the DISTANCE ftance if the angle at the Moon is obtufe, and fubtracted if acute. 2. ADD together the proportional logarithms of the fum and difference of the corrected parallax and firfl correction of di- ftance, and take their fum, which, for, diftinction, call the rectangle logarithm. To the rectangle logarithm, add the con- ftant logarithm 1.5819, and the log. tangent of the diftance once corrected, the fum of thefe three logarithms, rejecting ten from the index, will be the proportional logarithm of the fecond correction of diftance, which is always to be added, except the diftance is more than 90°, in which cafe it is to be fubtracted. To half the rectangle logarithm add the log. fine of the di- ftance twice corrected, the fum, rejecting ten from the index, will be the proportional logarithm of a correction, to be fub- tracted from the angle at the Star, or to be added to its fupple- ment. 3. To the arithmetical complement of the log. cofine of the corrected angle at the Star, add the proportional logarithm of the Star's refraction, the fum will be the proportional logarithm of the third correction, which (contrary to the firjt] is to be fubtracted from the diftance, if the angle at the Star is obtufe, and added if acute. THESE three corrections, applied as above directed, will give the true diftance of the Moon from the Sun or a fixed Star. THERE is, indeed, a. fecond correction for the Star's refraction, fimilar to the fecond correction for parallax j but in moft cafes it will not amount to i" ; and even when the Star's altitude is only 5°, and the diftance only 20°, it will not exceed 2"\ : It may, therefore, generally be omitted. But, if it is defired, this correction may be found in the fame manner as the fecond. 4. ADD together the proportional logarithms of the fum and difference of the Star's refraction and third correction of di- ftance, the conftant logarithm 1.5819, and the log. tangent of the diftance thrice corrected, the fum of thefe four logarithms, rejecting Of the MOON from the SUN. 195 rejecting ten from the index, will be the proportional logarithm of a fourth correction, which, added to the diftance, thrice cor- rected, will give the true diftance. THE following method of finding the angles at the Moon and Star will perhaps be more familiar to fome ; as it is the fame with the method commonly ufed to find the apparent time from the angle at the pole between the meridian and the Sun or a fixed Star j and though it is not quite fo concife as the former, it has this advantage, that it gives both the angles without any ambiguity. When- this fecond method is ufed, the logarithms mould be taken to at leaft five places of figures, be- fides the index. 1. 1*0 find the Angle at the Moon. ADD together the apparent zenith diftance of the Star, the apparent zenith diftance of the Moon, and the apparent di- ftance of the Star from the Moon's centre ; take their fum, half their fum, and the difference between the half fum and the ze- nith diftance of the Star ; then add together the arithmetical complements of the log. fines of the Moon's zenith diftance and the apparent diftance of the objects, and the log. fines of the half fum, and the difference between the half fum and the ze- nith diftance of the Star. Half the fum of thefe four loga- rithms will be the log. cofine of half the angle required, which being doubled, .will give the angle at the Moon between the ze- nith and the Star. 2. To jind the Angle at the Star. A-DD together the zenith diftances of the Moon and Star, and the apparent diftance, and take their fum and half fum as be- fore ; but now take the difference between the half fum and the zenith diftance of the Moon ; then add together the arith- metical complements of the log. fines of the Star's zenith di- ftance and the diftance of the objects, and the log. fines of the B b a half 196 Method of corretting the DISTANCE half fum and the difference between the half fum and the ze- nith diftance of the Moon. Half the fum of thefe four loga- rithms will be the log. cofine of half the angle, which, being doubled, will give the angle at the Star between the zenith and the Moon. THE angles being found, the feveral corrections of diftance are to be computed and applied according to the rules already given. INVESTIGATION. IN the fpherical triangle MZS, let Z reprefent the zenith, M the apparent place of the Moon, S the apparent place of the Star, and MS the apparent diftance of the Star from the Moon's centre. Let Zp be a perpendicular arc let fall from Z upon- MS, produced if necefiary, and let m be the middle of the bafe, fo that Mm or Sm be equal to half the diftance of the objects. If the zenith diftances MZ and SZ are equal, the triangle will be ifofceles, and the angles ZMS and ZSM will alfo be equal, and Zp will fall upon MS in m ; but if MZ and SZ are un- equal, Zp will fall upon MS at fome diftance from tn, either within or without the triangle, and the angles ZMS and ZSM will alfo be unequal. Then (by cafe 1 1. obliq.fpber. triang.) pm will be the Jirjl arc, equal to the diftance between the perpen- dicular and die middle of the bafe ; half the bafe added to pm will be the fecond arc, equal to the diftance of the perpendicu- lar from the lower object ; and the difference between half the bafe and pm will be arc third,, equal to the diftance of the per- pendicular from the higher object. It is evident that, when pm is lefs than half the bafe, the perpendicular muft fall within the triangle, and the angles, both at M and S muft be acute ; on the contrary, when pm is greater than half the bafe, the per- pendicular muft fall without the triangle, and the angle at that object which is next the perpendicular will be obtufe ; and ZSp Of the MOON from the SUN. 197 ZSp (fig. i.) will be the fupplement otZSM, and ZMP (fig. 2.) will be the fupplement of Z MS to 180°. Zp being perpendicular to MSt the two triangles ZpM and ZpS will both be right-angled at p. The hypothenufes MZ and SZ are the zenith diftances of the objects, or the comple- ments of their apparent altitudes, and the legs MP or SP are the fecond or third arches. Then (by cafe 6. right ang. fpher. triang.} the cotangent of the hypothenufe, or, which is the fame, the tangent of the altitude, multiplied by the tangent of the leg, and divided by radius, gives the cofine of the angle between the hypothenufe and that leg j by which the angles ZMS and ZSM will be found. THE other method of finding the angles is prop. 17. fpher. triangles^ prefixed to SHERWIN'S Tables, revifed by CLARK ; and is the fame with that given in the reqttifite tables for finding the horary angle. THE fine of the horizontal parallax being to the fine of the parallax in altitude, as radius to the fine of the zenith diftance, (KEIL'S AJlron. left. 21.) the fine of the horizontal parallax, multiplied by the fine of the zenith diftance, or, which is equal to it, by the cofine of the altitude, and divided by radius, will give the fine of the parallax in altitude. LET Lq reprefent the parallax in altitude, and Mq the re- fraction in altitude, then Mq fubtracted from Lq will leave LM the corrected parallax, equal to the difference between the ap- parent and true altitude of the Moon. Let SR be equal to the Star's refraction ; then L will be the true place of the Moon, and R the true place of the Star, and LR the true diftance. Let La be a perpendicular arc from L, falling upon MS, pro- duced if neceflary, and let Re be a perpendicular arc from R, falling upon LS, produced if neceflary with the diftance LS draw Lb, and with the diftance LR draw Rd ; then LR and Ld being radii from the fame centre, or rather arches from Z,, as a pole, to the fame parallel, will be equal to one another 5 and, for 198 Method of correcting the DISTANCE for the fame reafon, SL and Sb will be equal to one another : Then the feveral corrections and corrected diftances will be as follows : ifl correction Ma, diftance once corrected Sa. zd correction ab, diftance twice corrected Sb, equal to SL. 2>d correction Sc, diftance thrice corrected Lc. 4tb correction cd, diftance four times corrected Ld, equal to LR the true diftance. Radius i. THE firjl correction Ma is equal ML multiplied by the co- fme of LMS. THE arc La being perpendicular to MS, the two triangles MaL and SaL will both be right-angled at a. It has been proved, that SL and Sb are equal ; therefore ab, which is the fecond correction, will be the difference between SL and Sa ; and is found by the following proportion : The rectangle under the ^tangents of half the fum, and half the difference of LM, the hypothenufe, and aM, one of the legs, is equal to the fquare tangent of half La, the other leg ; and the rectangle, under the tangents of half the fum and half the difference of SL and Sa, is alfo equal to the fquare tangent of half La, (HEATH'S Aftron. p. 330.) Hence the fquare tangent of half La, divided by the tan- gent of half the fum of SL and Sa, will be equal to the tangent of half the difference of SL and Sa, that is, to the tangent of half ab ; and twice the fquare tangent of half La, divided by the tangent of half the fum of SL and Sa, will be equal to the tan- gent of ab. The proper divifor, therefore, for finding this fe- cond correction juftly, is the tangent of Sa increafed by half ab. But, as this will not make the correction |" lefs than when Sa is made the divifor, fuppofing the diftance not under 20°, it was thought needlefs to mention it in the precepts. IN fuch a fmall triangle, where the corrected parallax is the hypothenufe, which can never exceed 56'^, the difference be- tween the arcs themfelves and their fines or tangents is fo very inconfiderable, that they may be taken indifferently for one ano- ther Of the MOON from the SUN. 199 ther, without any fenfible error j and, by this means,rthe calcu- lator may avail himfelf of that convenient and ufeful table of the proportional logarithms, and fave a great deal of trouble in making proportions for feconds. When the arcs themfelves are taken inftead of the tangents of the arcs, it will fhorten the operation, and the refult will be the fame, if half the rec- tangle under the fum and difference of LM and aM is fubfti- tuted for twice the rectangle under half the fum and half the difference of LM and aM ; each of them is equal to half the fquare of La, or twice the fquare of half La, and half the fquare of La, divided by the tangent of half the fum of SL, and Sa is equal to ab. WHAT is called the rectangle logarithm is the proportional logarithm of the fquare of La ; its half is the proportional lo- garithm of La, and La, divided by the fine of LS, is equal to the angle LSa, which being fubtracted from ZSM, leaves ZSL, equal to the oppofite angle dSR, fig. 2. ; or, when the an- gle at the Star is obtufe, as in fig. i . the angle pSi, equal to the oppofite angle LSa, being added to the fupplement of the angle at the Star, makes the angle ZSi equal to the oppofite angle LSR or dSR, whence the remaining corrections are found in parts of the arc Ld. THE third correction Sc is equal to SR, multiplied by the co- fine of cSR. THE fourth correction cd is the difference between Lc and LR, and Re being perpendicular to Ld, makes the triangles ScR and Lc R right-angled at c, fo that cd is found by the fame propor- tion as ab. VIII. VIII. ACCOUNT of a REMARKABLE AGITATIONC/"/^ Waters o/'Locn TAY: In a Letter from the Reverend Mr THOMAS FLEMING, Minifler of Kenmore, to the Reve- rend JOHN PLAYFAIR, M. A. F. R. S. EDIN. and now ProfeJJbr of Mathematics in the Univerjity of EDINBURGH. [Read by Mr PLATFAIR, Dec. 6. 1784.] DEAR SIR, Kenmore Manfey Nov. 4. 1784. I DID not return from the excurfion on which I was when I had the pleafure to fee you at Dundee till laft Tuefday night. On my arrival, I found your letter refpeding the phenomenon that lately happened in this neighbourhood. Although ill qualified to give you fatisfadtion upon this fubjedl, I {hall, however, comply with your defire, and give you the moft accu- rate account of that phenomenon which I have been able to obtain. ON Sunday the iath of September, about nine o'clock in the morning, an unufual agitation was obferved in LOCH TAY, near the village of Kenmore. That village ftands at the eaft end of the lake, having the river, which there iflues from the lake, on the north fide, and a bay, about i 60 yards in length and 200 yards in breadth, on the fouth. The greater part of this bay is very lhallow, being generally no more than two or three feet deep j but before it joins the body of the lake, it becomes fuddenly very deep. At the extremity of this bay, the water was ob- ferved to retire about five yards within its ordinary boundary, and in four or five minutes to flow out again. In this manner, it ebbed and flowed fucceflively three or four times during the fpace of a quarter of an hour, when, all at once, the water rufhed Agitation of LOCH 7 'AT. 201 rufhed from the eaft and weft, in oppofite currents, towards a line acrofs the bay, and about the edge of the deep, rofe in the form of a great wave, to the height of five feet above the ordinary level, leaving the bottom of the bay dry, to the diftance of between 90 and i oo yards from its natural boundary. When the oppofite currents met, they made a clafhing noife, and foam- ed ; and the ftronger impulfe being from the eaft, the wave, after rifing to its greateft height, rolled weftward, but {lowly, diminilhing as it went, for the fpace of five minutes, when it wholly difappeared. As the wave fubfided, the water flowed back with fome force, and exceeded its original boundary four or five yards ; then it ebbed again about ten yards, and again return- ed, and continued to ebb and flow in this manner for the fpace of two hours, the ebbings fucceeding each other at the diftance of about feven minutes, and gradually lefTening till the water fettled into its ordinary level. AT the fame, time that the undulation was obferved in the bay on the fouth fide of the village, the river on the north was feen to run back ; the weeds at its bottom, which before pointed with the ftream, received a contrary direction ; and its channel was left dry above twelve feet from either edge. Un- der the bridge, (which is fixty or feverity yards from the lake), the current failed, and the bed of the river appeared where there had been eighteen inches of water. DURING the whole time that this phenomenon was obferved, the weather was calm. It could barely be perceived, that the direction of the clouds was from N. E. The barometer (as far as I can recollect) flood the whole of that and the preceding day about 29-3- inches. ON the next, and the four fucceeding days, an ebbing and flowing was obferved nearly about the fame time, and for the fame length of time, but not at all in the fame degree as on the firft day. A fimilar agitation was remarked at intervals, fome C c days 202 Agitation of LOCH days in the morning, other days in the afternoon, till the of October, fince which time no fuch thing has been obferved. I HAVE not heard (although I have made particular enquiry) that any motion of the earth was felt in this neighbourhood, or that the agitation of the water was obferved any where but about the village of Kenmore. I HOPE the above account will furnifh an anfwer to moft of the queftions contained in your letter. If there be any other circumftance about which you wilh to have farther information, it will give me pleafure to be able to communicate it. I am, Dear Sir, Your moft obedient humble fervant, THOMAS FLEMING. •K B. THE village of Kenmore is fituated nearly in the parallel of 56*, 35', and about I ° •weft of the meridian of Edinburgh. Loch Tay extends from thence fomewhat more than 15 miles W. S. W. Its medium breadth is not much lefs than a mile, and its depth muft be very confiderable, if one may judge from the 'height of the adjacent tpountains. IX. V IX. ABSTRACT of a REGISTER^* /£ ro M 18 25 March, 2.450 28.150 40.30 5 26 April, .700 28.563 46.30 4 26 May, i-475 29-353 5'-36 5 26 June, 1.500 29-233 57-°5 T9 ii July, 3-573 29.074 58-5° 9 22 Aug. 4-425 29.000 56-5J 4 27 Sept. 4.300 29.040 53-5° ii 19 Oct. 4-55° 29.000 44.16 2 28 Nov. 4.000 29.100 33-9° 16 M Dec. 1.650 29.122 34-65 7 24 Rain, 38-573 99 266 Mean, 28.956 45-85 ABSTRACT for 1776. ABSTRACT for 1777. Month. Rain. Barom Therm Wind, EIy w'r Days, Jan.* Feb. Snowlies 6.070 29.070 28.500 26.OO 34-72 21 8 10 21 March, '•375 29.140 39.00 II 20 April, 1-55° 29.300 45.40 J 2<; May, •725 29-333 48.00 12 19 June, 1-375 29-445 54-7°' 6 24 July. 3-425 29.303 ?8-^ 4 27 Aug. 2.900 29.120 56.00 J 26 Sept. 2.750 29.150 5°-3° 9 21 oa. 1.800 29.230 45.00 9 22 Nov. 2.450 29.050 38.00 ii 19 Dec. 1-875 29-130 36.06 10 21 Rain, 26.295 in 2?? Mean, 29.147 44.31 , , Month. Rain. Barom. Therm. Wind, Eiy wly Days. Jan. 1-875 29.084 30.90 2O ii Feb. 3-383 29.171 3M3 17 ii March, '•55° 29.032 38.00 9 22 April, 2.825 29.263 40.00 J7 13 May, 1.800 29.032 49.40 ii 2O June, 2.450 29.180 51.90 10 20 July, 2.050 29.161 54-45 15 16 Aug. 2.450 29.180 57.00 4 27 Sept. •75° 29.283 53-9° 2 28 Ocl . 7.400 29.000 45-9° 14 i7 Nov. 2.750 29.100 39.00 4 26 Dec. .250 29.110 34-23 17 14 Rain, 26.533 140 225 Mean, 29-!33 43-84 ABSTRACT * The height of the rain-gage, when the fnow melted on the 1 7th of February, is io- cluded in the fum of that month. REGISTER of the WEATHER. 205 ABSTRACT for 1778. ABSTRACT for 1779. Month. Rain. Barom. Therm. Ely w'y Days. Jan. 2.200 29.200 32-550 8 23 Feb. .600 29.000 34.650 8 20 March, 6.2OO 29.371 35.800 20 II April, 1.925 28.323 42.500 15 15 May, 2.200 29.300 52.160 6 2I June, 2.400 29.230 57-270 4 26 J^y» 5.500 29.130 59.000 8 23 Aug. i-775 29.320 56.320 8 23 Sept. 2.200 29.300 50.066 10 20 oa. 6.250 28.950 40.700 21 IO Nov. 4.400 28.890 38.500 16 14 Dec. 4-35° 29.000 39- * 3° 8 23 Rain, 36.400 132 233 Mean, 29.084 44.888 Wind, Month. Rain. Barom. Therm. £,!/ wlr Days Jan. 1-397 29.500 33-770 11 20 Feb. 1.700 29.700 43.700 oo 28 March, .250 29-35° 41.900 12 19 April, 2.650 28.160 42.600 1 29 May, 3-°25 29.100 49.000 12 19 June, 2.075 29.280 55-2oo 22 8 J«iy, 4-975 29.150 61.400 10 21 Aug. 1.050 29.300 59\8oo 14 17 Sept. 4-975 29.045 52.77'= *> 28 Oft. 4-45° 29.126 46.100 6 25 Nov. i-i75 28.900 38.000 8 22 Dec. 3-97° 28.887 30.030 "4 17 Rain, 31.692 112 253 Mean, 29.125 46. 190 ABSTRACT for 1780. ABSTRACT for 1781. Month. Rain. Barom Therm. \Vind| f,- 1 y vy 1 y Days. [an. Froft. 29.160 25.605 2O 11 Feb. 1.250 29.000 32.290 IO J9 VI arch, 2-95° 29.000 42-613 I 3° April, 2.500 28.900 40.700 20 10 May, 4.025 29.090 50.226 4 27 fune, 2.1OO 29-213 55.000 8 22 fuly, 2.050 29.280 5»-355 9 22 Aug. .250 29.430 59.000 21 IO Sept. 3-35° 29.000 54.900 1S *5 oa. 4.700 29.230 44.260 II 20 Nov. J-975 28.180 34.600 IO 20 Dec. •35° 29-530 35-700 10 21 Rain, 25.500 139 227 Mean, 29.085 44-445 Month. Rain, Barom. Therm. WiM, EIT Wly Days. Jan. 1.300 29.142 32-300 I? 16 Feb. 3.600 28.920 38.000 4 24 March, .200 29-445 41.580 7 24 April, 1.850 29.100 44.500 9 21 May, M7J 29-355 49.540 2 0 II June, 2.000 29.200 55-I30 21 9 July, 1.700 29.440 60.640 14 17 Aug. 6.250 29.100 58.000 *5 16 Sept. 1.125 29.160 52-5fo IO 20 oa. •95° 29.360 46.200 I 3° Nov. 4-250 29.000 38.000 7| 23 Dec. 4.600 29.000 35-45° 13 18 Rain, 29.300 136229 Mean, 29.185 46.000 ABSTRACT 206 REGISTER of the WEAT HER. ABSTRACT for 1782. ABSTRACT for 1783. Wind. Month. Rain. Birom. Therm. Eir w1' Days Jan. 7-45° 29.900 36.000 5 26 Feb. 2.400 29.214 3I-643 18 10 March, 3-850 28.900 35.260 »3 18 April, 1.900 29.100 38.600 27 3 May, 5-5°° 28-960 45-562 '5 16 June, 1.650 29.250 55-50° 5 2i J«iy, i-75° 29.194 58.226 8 23 Aug. 3.700 28.300 54.000 5 26 Sept. 4.700 29.16^ 49-333 12 28 Ocl. 3-15° 29.300 41.500 J4 17 Nov. .800 28.220 32.466 '9 ii Dec. i-35° 29.226 33.260 «3 18 Rain. 38.200 Mean. 29.061 42.612 ».54 211 Month. Rain. Barom. Therm. Wind, E'J w'y Days. Jan. 3.025 28.700 34.000 5 26 Feb. 3.650 28.920 35.800 12 16 March, 1.700 29.026 35.000 *7 14 April, .IOO 29.447 4^433 12 18 May, l-525 29.210 47.322 12 19 June, 2.300 29-*37 54.100 12 18 July, 3-75° 29.245 62.450 8 23 Aug. 2.700 29.200 56.600 J3 18 Sept. 3-775 28.987 52.800 7 23 oa. 4.450 29.074 45.000 o 31 Nov. 3.700 29-J54 37-33° 10 20 Dec. 1.050 29.184 33-7oo 17 M Rain. 3I-725 I25 240 Mean. 29.107 45-°45 ABSTRACT for all the preceding Years. Wind, Year. Rain, Barom. Therm. E'y W'y Days. 1774, 29.250 29.225 185 180 1775, 38.573 28.956 45.8500 99 266 1776, 26.295 29.147 44.3100 in 225 1777. 29-533 29.133 43.8400 140 225 '778> 36.400 29-035 44.8880 132 233 *779» 31.692 29.125 46.1900 112 253 1780, 25.500 29.085 44.4450 139 227 1781, 29.300 29.185 46.0000 J36 229 1782, 38.200 29.061 42.6070 154 211 1783, 31-7^5 29.107 45.0449 "5 240 Medium of 10 Years, 31.648 29.106 133-3 231.9 Ditto , 9 Years 44-793° COMPARATIVE REGISTER of the WE4THER. 207 2 £ ~0 a & & OH xOirjvOiriO O OvoO O O O ^ c^c« M inomi^voo Ov O O\oo in\o oo m in t^vo co ON 100 H M in rj- c» O O ^oo covnr^cOTj-ON r>«oo rt-co O\ • O OiOO O O oot^ooo ON ON^O co c» ON O CO M Q O M M M M M oooooooooooo oooooooooooo in to M •j- ci c^' ^ OOO vnO vn t^O 10 O w M lOO'OOOOioOiOvoO'O O O xoiotoioO O mvno 10 vnocit^^^omt^r^o Mciioc^voqq-* ONOO M w cod POrJ rovo-^-iod c^ OvoOOOOOOOOOvO ioO mo voo vnvnvnr} o ro ON ON ^ Tj-M CDC^VO W^OVO . r) O O ••*• vo^O cl oo rj- rj- M vo "3 •a c i 06 O O "Sj a 9 ? .£ "3 Q 208 REGISTER of the WE4THER. R E S U L T of the preceding Companion. Year. Dalkekh. Branxholm. Langholm. J773> ^5-473 32.652 38.850 J774» 27.925 29.250 34-405 '775» '776, 29-55° 20.650 38.573 26.295 39-3°° 34.161 J777> 22.025 29-533 36-95° Medium 2S-'246 31.2606 36.733^ X. X. THE OR* of the EARTH; or a» INVESTIGATION^ /&? Laws obfervable in the Compofition, Diffolution, and Reparation of Land upon the Globe. By JAMES HuTTON, M. D. F. R. S. EDIN. and Member of the Royal Academy of^Agrlcul- ture at PARIS. [Read March *j . and April 4. 1785.] PART. I. Profpett of the SubjccJ to be treated of. WH EN we trace the parts of which this terreftrial fyftem is compofed, and when we view the general connection of thofe feveral parts, the whole prefents a machine of a pecu- liar conftruc"Uon by which it is adapted to a certain end. We perceive a fabric, creeled in wifdom, to obtain a purpofe wor- thy of the power that is apparent in the production of it. WE know little of the earth's internal parts, or of the mate- rials which compofe it at any confiderable depth below the fur- face. But upon the furface of this globe, the more inert mat- ter is replenifhed with plants, and with animal and intellectual beings. WHERE fo many living creatures are to ply their refpeclive powers, in purfuing the end for which they were intended, we are not to look for nature in a quiefcent ftate j matter itfelf muft be in motion, and the fcenes of life a continued or re- peated feries of agitations and events. THIS globe of the earth is a habitable world; and on its fit- nefs for this purpofe, our fenfe of wifdom in its formation D d muft 2io THEORToftbe EARTH. muft depend. To judge of this point, we muft keep in view, not only the end, but the means alfo by which that end is ob- tained. Thefe are, the form of the whole, the materials of which it is compofed, and the feveral powers which concur, counter- act, or balance one another, in procuring the general refult. THE form and conftitution of the mafs are not more evident- ly calculated for the purpofe of this earth as a habitable world, than are the various fubftances of which that complicated body is compofed. Soft and hard parts varioufly combine, to form a medium confidence adapted to the ufe of plants and animals ; wet and dry are properly mixed for nutrition, or the fupport of thofe growing bodies ; and hot and cold produce a temperature or climate no lefs required than a foil. Infomuch, that there is not any particular, reflecting either the qualities of the ma- terials, or the conftruction of the machine, more obvious to our perception, than are the prefence and efficacy of defign and intelligence in the power that conducts the work. IN taking this view of things, where ends and means are made the object of attention, we may hope to find a principle- upon which the comparative importance of parts in the fyftem of nature may be eftimated, and alfo a rule for felecting the object of our enquiries. Under this direction, fcience may find a fit fubject of inveftigation in every particular, whether offorjn^ quality r, or afirive poiver, that prefents itfelf in this fyftem of motion and of life j and which, withoxit a proper attention to this character of the fyftem, might appear anomalous and. incomprehenfible. IT is not only by feeing thofe general operations of the globe which depend upon its peculiar conftruction as a machine, but alfo by perceiving how far the particulars, in the conftruction of that machine, depend upon the general operations of the globe, that we are enabled to underftand the conflitution of this earth as a thing formed by defign. We mail thus alfo be led to acknowledge an order, not unworthy of Divine wifdom, in THEORY of the EARTH. 211 a fubjecl which, in another view, has appeared as the work of chance, or as abfolute diforder and confufion. To acquire a general or comprehenfive view of this mecha- nifm of the globe, by which it is adapted to the purpofe of be- ing a habitable world, it is neceflary to diflinguiih three dif- ferent bodies which compofe the whole. Thefe are, a folid bo- dy of earth, an aqueous body of fea, and an elaflic fluid of air. IT is the proper fhape and difpofition of thefe three bodies that form this globe into a habitable world ; and it is the man- ner in which thefe constituent bodies are adjufted to each other, and the laws of action by which they are maintained in their proper qualities and refpeclive departments, that form the Theory of the machine which we are now to examine. LET us begin with fome general fketch of the particulars now mentioned. iy?, THERE is a central body in the globe. This body fup- ports thofe parts which come to be more immediately expofed to our view, or which may be examined by our fenfe and obferva- tion. This firft part is commonly fuppofed to be folid and in- ert ; but fuch a conclufion is only mere conjecture ; and we {hall afterwards find occafion, perhaps, to form another judg- ment in relation to this fubject, after we have examined ftriclly, upon fcientific principles, what appears upon the furface, and have formed conclufions concerning that which muft have been tranfacted in fome more central part. idly^ WE find a fluid body of water. This, by gravitation, is reduced to a fpherical form, and by the centrifugal force of the earth's rotation, is become oblate. The purpofe of this fluid body is eflential in the conftitution of the world j for, be- fides affording the means of life and motion to a multifarious race of animals, it is the fource of growth and circulation to the organized bodies of this earth, in being the receptacle of ihe rivers, and the fountain of our vapours. D d 2 212 THEORY of the EARTH. , WE have an irregular body of land, raifed above the level of the ocean. This, no doubt, is the fmallefl portion of the globe ; but it is the part to us by far moft interefting. It is upon the furface of this part that plants are made to grow j confequently, it is by virtue of this land that animal life, as well as vegetation, is fuftained in this world. Lqftly, WE have a furrounding body of atmofphere, which completes the globe. This vital fluid is no lefs neceflary in the coaflitution of the world than are the other parts j for there is hardly an operation upon the furface of the earth, that is not conducted or promoted by its means. It is a neceflary condi- tion for the fuflenance of fire ; it is the breath of life to ani- mals ; it is at leaft an inflrument in vegetation j and while it contributes to give fertility and health to things that grow, it is employed in preventing noxious effects from fuch as go into corruption. In Ihort, it is the proper means of circulation for the matter of this world, by raifing up the water of the ocean, and pouring it forth upon the furface of the earth. SUCH is the mechanifm of the globe; let us now mention fome of thofe powers by which motion is produced, and activi- ty procured to the mere machine. FIRST, There is the progrefiive force, or moving power, by which this planetary body, if folely actuated, would depart continually from the path which it now purfues, and thus be for ever removed from its end, whether as a planetary bo- dy, or as a globe fuftaining plants and animals, which may be termed a living world. BUT this moving body is alfo actuated by gravitation, which inclines it directly to the central body of the fun. Thus it is made to revolve about that luminary, and to preferve its path. IT is alfo upon the fame principles, that each particular part upon the furface of this globe, is alternately expofed to the in- fluence of light and darknefs, in the diurnal rotation of the earth, as well as in its annual revolution. In this manner are produced. THEORY of the EARTH. 213 produced the viciffitudes of night and day, fo variable in the different latitudes from the equator to the pole, and fo beauti- fully calculated to equalize the benefits of light, fo varioufly diftributed in the different regions of the globe. GRAVITATION and the vis incita of matter thus form the firft two powers diftinguifhable in the operations of our fyftemr and wifely adapted to the purpofe for which they are employed. WE next obferve the influence of light and heat, of cold and condenfation. It is by means of thefe two powers that the va- rious operations of this living world are -more immediately tranfacted ; although the other powers are no lefs required, in order to produce or modify thefe great agents in the ceconomy of life, and fyftem of our changing things. WE do not now enquire into the nature of thofe powers, or invefligate the laws of light and heat, of cold and eondenfa- tion, by which the various purpofes of this world are accom- plifhed; we are only to mention thofe effects which are made fenfible ta the common underftanding of mankind, and which neceffarily imply a power that is employed. Thus, it is by the operation of thofe powers that the varieties of feafon in fpring and autumn are obtained, that we are bleffed with the viciffi- tudes of fummer's heat and winter's cold, and that we poffefs the benefit of artificial light and culinary fire. WE are thus bountifully provided with the neceflaries of life ; we are fupplied with things conducive to' the growth and prefervation of our animal nature, and with fit fubjects to em- ploy and to nourifh our intellectual powers. THERE are other actuating powers employed in the opera- tions of this globe, which we are little more than able to enu- merate J fuch are thofe of electricity and magnetifm. POWERS of fuch magnitude or force, are not to be fuppofed nfelefs in a machine contrived furely not without wifHom ; but they are mentioned here chiefly on account of their general effect , and it is fufficient to have named powers, of which the actual 214 THEORY of the EARfH. actual exiftence is well known, but of which the proper ufe in the conftitution of the world is ftill obfcure. WE have thus furveyed the machine in general, with thofe moving powers, by which its operations, diverfified almoft ad infinitum^ are performed. Let us now confine our view, more particularly, to that part of the machine on which we dwell, that fo we may confider the natural confequences of thofe ope- rations which, being within our view, we are better qualified to examine. THIS fubject is important to the human race, to the pofTeflbr of this world, to the intelligent being Man, who forefees events to come, and who, in contemplating his future intereft, is led to enquire concerning caufes, in order that he may judge of events which otherwife he could not know. IF, in purfuing this object, we employ our fkill in refearch, not in forming vain conjectures ', and if data are to be found, on which Science may form juft conclufions, we fhould not long remain in ignorance with refpect to the natural hiflory of this earth, a fubject on which hitherto opinion only, and not evi- dence, has decided : For in no fubject is there naturally lefs de- feel: of evidence, although philofbphers, led by prejudice, or mifguided by falfe theory, have neglected to employ that light by which they fhould have feen the fyftem of this world. BUT to proceed in purfuing a little farther our general or pre- paratory ideas. A folid body of land could not have anfwered the purpofe of a habitable world ; for a foil is necefTary to the growth of plants j and a foil is nothing but the materials col- lected from the definition of the folid land. Therefore, the furface of this land, inhabited by man, and covered with plants and animals, is made by nature to decay, in diffolving from that hard and compact flate in which it is found below the foil ; and this foil is necefTarily wafhed away, by the con- tinual circulation of the water, running from the fummits of the mountains towards the general receptacle of that fluid, THE THEORY of the EARTH. 215 THE heights of our land are thus levelled with the fhores ; our fertile plains are formed from the ruins of the moun- tains ', and thofe travelling materials are flill purfued by the moving water, and propelled along the inclined furface of the earth. Thefe moveable materials, delivered into the fea, can- not, for a long continuance, reft upon the more ; for, by the agitation of the winds, the tides and currents, every moveable thing is carried farther and farther along the {helving bottom of the fea, towards the unfathomable regions of the ocean. IF the vegetable foil is thus conftantly removed from the fur- face of the land, and if its place is thus to be fupplied from the diflblution of the folid earth, as here reprefented, we may perceive an end to this beautiful machine ; an end, arifing from no error in its conflitution as a world, but from that deftrucli- bility of its land which is fo neceffary in the fyftem of the globe, in the ceconomy of life and vegetation. THE immenfe time necefTarily required for this total deftruc- tion of the land, muft not be oppofed to that view of future events, which is indicated by the fiireft facls and moft approved principles. Time, which meafures every thing in our idea, and is often deficient to our fchemes, is to nature endlefs and as nothing ; it cannot limit that by which alone it had exiflence ; and as the natural courfe of time, which to us feems infinite, cannot be bounded by any operation that may have an end, the progrefs of things upon this globe, that is, the courfe of na- ture, cannot be limited by time, which muft proceed in a con- tinual fucceffion. We- are, therefore, to confider as inevitable the deftruclion of our land, fo far as effected by thofe opera- tions which are neceflary in the purpofe of the globe, confider- ed as a habitable world •, and fo. far as we have not examined- any other part of the ceconomy of nature, in which other ope- rations and a different intention might appear. WE have now confidered the globe of this earth as a machine, coiiftruaed upon chemical as well as mechanical principles, by - 216 THEORT of the EARTH. by which its different parts are all adapted, in form, in quality, and in quantity, to a certain end j an end attained with cer- tainty or fuccefs ; and an end from which we may perceive wifdom, in contemplating the means employed. BUT is this world to be confidered thus merely as a machine, to laft no longer than its parts retain their prefent pofition, their proper forms and qualities ? Or may it not be alfo con- fidered as an organized body ? Such as has a conftitution in which the necefTary decay of the machine is naturally repaired, in the exertion of thofe productive powers by which it had been formed. THIS is the view in which we are now to examine the globe ; to fee if there be, in the conftitution of this world, a repro- ductive operation, by which a ruined conftitution may be again repaired, and a duration or ftability thus procured to the ma- chine, confidered as a world fuftaining plants and animals. IF no fuch reproductive power, or reforming operation, after due enquiry, is to be found in the conftitution of this world, we fhould have reafon to conclude, that the fyftem of this earth has either been intentionally made imperfect, or has not been the work of infinite power and wifdom. HERE is an important queftion, therefore, with regard to the conftitution of this globe j a queftion which, perhaps, it is in the power of man's fagacity to refolve ; and a queftion which, if fatisfactorily refolved, might add fome luftre to fcience and the human intellect. ANIMATED with this great, this interefting view, let us ftrictly examine our principles, in order to avoid fallacy in our reafoning ; and let us endeavour to fupport our attention, in developing a fubject that is vaft in its extent, as well as intricate in the relation of parts to be ftated. THE globe of this earth is evidently made for man. He alone, of all the beings which have life upon this body, enjoys the whole and every part ; he alone is capable of knowing the nature THEORY of the EARTH. 217 nature of this world, which he thus pofTefTes in virtue of his proper* right ; and he alone can make the knowledge of this fyflem a fource of pleafure and the means of happinefs. MAN alone, of all the animated beings which enjoy the be- nefits of this earth, employs the knowledge which he there re- ceives, in leading him to judge of the intention of things, as well as of the means by which they are brought about ; and he alone is thus made to enjoy, in contemplation as well as fenfual plea- fure, all the good that may be obferved in the conftitution of this world ; he, therefore, mould be made the firil fubjecl: of enquiry. Now, if we are to take the written hiftory of man for the rule by which we mould judge of the time when the fpecies firft began, that period would be but little removed from the pre- fent ftate of things. The Mofaic hiftory places this beginning of man at no great diftance ; and there has not been found, in natural hiftory, any document by which a high antiquity might be attributed to the human race. But this is not the cafe with regard to the inferior fpecies of animals, particularly thofe which inhabit the ocean and its mores. We find in na- tural hiftory monuments which prove that thole animals had long exifted ; and we thus procure a meafure for the computation of a period of time extremely remote, though far from being pre- cifely afcertained. IN examining things prefent, we have data from which to reafon with regard to what has been ; and, from what has ac- tually been, we have data for concluding with regard to that which is to happen hereafter. Therefore, upon the fuppofition that the operations of nature are equable and fteady, we find, in natural appearances, means for concluding a certain portion of time to have necelTarily elapfed, in the production of thofe events of which we fee the effects. IT is thus that, in finding the relics of fea-animals of every kind in the folid body of our earth, a natural hiftory of thofe animals is formed, which includes a certain portion of time ; E e and 2i8 THEORY of the EARTH. and for the afcertaining this portion of time, we muft again have recourfe to the regular operations of this world. We fhall thus arrive at facts which indicate a period to which no other fpecies of chronology is able to remount. IN what follows, therefore, we are to examine the conftruc- tion of the prefent earth, in order to underftand the natural operations of time pad ; to acquire principles, by which we may conclude with regard to the future courfe of things, or judge of thofe operations, by which a world, fo wifely ordered, goes into decay ; and to learn, by what means fuch a decayed world may be renovated, or the wafte of habitable land upon the globe repaired. THIS, therefore, is the object which we are to have in view during this phyfical inveftigation ; this is the end to which are to be directed all the fteps in our cofmological purfuit. THE folid parts of the globe are, in general, compofed of fand, of gravel, of- argillaceous and calcareous ftrata, or of the various compofitions of thefe with fome other fubflances, which it is not neceflary now to mention. Sand is feparated and fized by firearm and currents ; gravel is formed by the mutual attrition of ftones agitated in water ; and marly, or argillaceous ftrata, have been collected, by fubfiding in water with which thofe earthy fubftances had been floated. Thus, fo far as the earth is formed of thefe materials, that folid body would appear to have been the production of water, winds, and tides. BUT that which renders the original of our land clear and evident, is the immenfe quantities of calcareous bodies which had belonged to animals, and the intimate connection of thefe mafles of animal production with the other ftrata of the land. For it is to be proved, that all thefe calcareous bodies, from the collection of which the ftrata were formed, have belonged to the fea, and were produced in it. WE find the marks of marine animals in the moft folid parts of the earth, confequently, thofe folid parts have been formed after THEORY of the EARTH. 219 after the ocean was inhabited by thofe animals, which are pro- per to that fluid medium. If, therefore, we knew the natural hiftory of thofe folid parts, and could trace the operations of the globe, by which they had been formed, we would have fome means for computing the time through which thofe fpecies of animals have continued to live. But how {hall we defcribe a procefs which nobody lias feen performed, and of which no written hiftory gives any account ? This is only to be invefti- gated, jirft, in examining the nature of thofe folid bodies, the hiftory of which we want to know ; and, zdly. In examining the natural operations of the globe, in order to fee if there now actually exift fuch operations, as, from the nature of the folid bodies, appear to have been neceflary to their formation. BUT, before entering more particularly into thofe points of difcuffion, by which the. queftion is to be refolved, let us take a general view of the fubject, in order to fee what it is which fcience and obfervation muft decide. IN all the regions of the globe, immenfe mafTes are found, which, though at prefent in the mod folid ftate, appear to have been formed by the collection of the calcareous exuvice of ma- rine animals. The queftion at prefent is not, in what manner thofe collections of calcareous relics have become a perfect folid body, and have been changed from an animal to a mineral fub- ftance ; for this is a fubject that will be afterwards conlidered ; we are now only enquiring, if fuch is truly the origin of thofe mineral mafles. THAT all the maffes of marble or limeftone are compofed of the calcareous matter of marine bodies, may be concluded from the following facts : iy?, THERE are few beds of marble or limeftone, in which may not be found fome of thofe objects which indicate the marine origin of the mafs. If, for example, in a mafs of marble, taken from a quarry upon the top of the Alps or E e 2 Andes, 220 THEORY of the EARTH. Andes *, there mall be found one cockle-fhell, or piece of coral, it muft be concluded, that this bed of ftone had been original- ly formed at the bottom of the fea, as much as another bed which is evidently compofed almofl altogether of cockle-fhells and coral. If one bed of limeftone is thus found to have been of a marine origin, every concomitant bed of the fame kind muft be alfo concluded to have been formed in the fame man- ner. WE thus mall find the greateft part of the calcareous mafles upon this globe to have originated from marine calcareous bo- dies ; for whether we examine marbles, limeftones, or fuch fo- lid mafles as are perfectly changed from the ftate of earth, and •are become compact and hard, or whether we examine the foft, earthy, chalky or marly ftrata, of which fo much of this earth is compofed, we ftill find evident proofs, that thofe beds had their origin from materials depofited at the bottom of the fea ; and that they have the calcareous fubftance which they contain, from the fame fource as the marbles or the limeftones, 2^/y, IN thofe calcareous ftrata, which are evidently of ma- rine origin, there are many parts that are of a fparry ftru<5lure, that is to fay, the original texture of thofe beds, in fuch places, has been diflblved, and a new ftructure has been aflumed, which is peculiar to a certain ftate of the calcareous earth. This change is produced by cryftallization, in confequence of a previous ftate of fluidity, which has fo difpofed the concreting parts, as to allow them to aflume a regular ihape and ftruclure proper to that fubftance. A body, whofe external form has been * " CETTE fbmmite elevee de 984 toifes au deffas de notre lac, et par confequent de " 1172 au deilus de la mer, eft remarquable en ce que 1'on y voit des fragmens d'hultres " petrifies. Cette montagne eft dominee par un rocher efcarpe, qui s'il neft pas in- " acceflible, eft du moins d'un bien difficile acces} il paroit prefqu'entierement compose " de coquillages petrifies, renfermes dans un roc calcaire, ou marbre groflier noiratre. " Les fragmens qui s'en detachent, et que 1'on rencontre en montant a la Croix de fer, " font remplis de turb.inites de differences efp.eces." M. DE SAUSSURE, Voyage dans .let Jlpes, p. 394. of the EARTH. 221. been modified by this procefs, is called a cryjial ; one whofe in- ternal arrangement of parts is determined by it, is faid to be of & fparry JlruEJure ; and this is known from its fracture. $dly, THERE are, in all the regions of the earth, huge mafles of calcareous matter, in that cryftalline form or fparry ftate, in which perhaps no veftige can be found of any organized body, nor any indication that fuch calcareous matter had belonged to animals j but as, in other mafles, this fparry ftructure, or cryftalline ftate, is evidently aflumed by the marine calcareous fubftances, in operations which are natural to the globe, and which are neceflary to the confolidation of the ftrata, it does not appear, that the fparry mafles, in which no figured body is formed, have been originally different from other mafles, which, being only cryftallized in part, and in part ftill retain- ing their original form, leave ample evidence of their marine, origin. WE are led, in this manner, to conchide, that all the ftrata of the earth, not only thofe confifting of fuch calcareous maf- fes, but others fuperincumbent xipoii thefe, have had their ori- gin at the bottom of the fea, by the collection of fand and gravel, of fhells, of coralline and cr.uftaceous bodies, and of earths and clays, varioufly mixed, or feparated and accumu- lated. Here is a general conclufion, well authenticated in the appearances of nature, and highly important in the natural hi- ftory of the earth. THE general amount of our reafoning is this, that nine tenths, perhaps, or ninety-nine hundredths of this earth, fo far as we fee^ have been formed by natural operations of the globe, in collecting loofe materials, and depofiting them at the bottom of the fea ; confolidating thofe collections in various degrees, and either elevating thofe confolidated mafles above the level on which they were formed, or lowering the level of that fea. THERE is a part of the folid earth which we may at prefent neglect, not, as being perfuaded that this part may not alfo be found THEORY of the EARTH. found to come under the general rule of formation with the reft, but as considering this part to be of no confequence in forming a general rule, which fhall comprehend almoft the whole, without doing it abfolutely. This excluded part confifls of certain mountains and maffes of granite. Thefe are thought to be ftill older in their formation, and are very rarely, at leaft, found fuperincumbent on ftrata which muft be acknowledged as the productions of the fea. HAVING thus found the greater part, if not the whole, of the folid land to have been originally compofed at the bottom of the fea, we may now, in order to form a proper idea of thefe operations, fuppofe the whole of this fea-born land to be again difperfed along the bottom of the ocean, the furface of which would rife proportionally over the globe. We would thus have a fpheroid of water, with granite rocks and iilands fcattered here and there. But this would not be the world which we in- habit ', therefore, the queftion now is, how fuch continents, as we actually have upon the globe, could be erected above the le- vel of the fea. IT muft be evident, that no motion of the fea, caufed by this earth revolving in the folar fyftem, could bring about that end ; for let us fuppofe the axis of the earth to be changed from the prefent poles, and placed in the equinoctial line, the confequence of this might, indeed, be the formation of a con- tinent of land about each new pole, from . whence the fea would run towards the new equator ; but all the reft of the globe would remain an ocean. Some new points might be dif- covered, and others, which before appeared above the furface of the fea, would be funk by the rifing of the water ; but, on the whole, land could only be gained fubftantially at the poles. Such a fuppofltion as this, if applied to the prefent ftate of things, would be deftitute of every fupport, as being incapable of explaining what appears. BUT THEORT of the EARTH. 223 BUT even allowing that, by the changed axis of the earth, or any other operation of the globe, as a planetary body re- volving in the folar fyftem, great continents of land could have been creeled from the place of their formation, the bottom of the fea, and placed in a higher elevation, com- pared with the furface of that water, yet fuch a continent as this could not have continued ftationary for many thoufand years ; nor could a continent of this kind have prefented to us,, every where within its body, mafTes of confolidated marble, and other mineral fubftances, in a (late as different as pomble from that in which they were, when originally collected toge- ther in the fea. CONSEQUENTLY,. befides an operation, by which the earth at the bottom of the fea fhould be converted into an elevated land, or placed high above the level of the ocean, there is re- quired, in the operations of the globe, a confolidating power, by which the loofe materials that had fubfided from water, fhould be formed into mafles of the moft perfect folidity, having neither water nor vacuity between their various conftituent parts, nor in the pores of thofe conftituent parts themfelves. HERE is an operation of the globe, whether chemical or me- chanical, which is necefTarily connected with the formation of our prefent continents : Therefore, had we a proper underftand- ing of this fecret operation, we might ' thereby be enabled to form an opinion, with regard to the nature of that unknown power, by which the continents have been placed above the fur- face of that water wherein they had their birth. IF this confolidating operation be performed at the bottom of the ocean, or under great depths of the earth,. of which our continents are compofed, we cannot be witnefles to this mine- ral procefs, or acquire the knowledge of natural caufes, by im- mediately obferving the changes which they produce ; but though we have not this immediate obfervation of thofe changes of bodies, we have, in fcience, the means of reafoning from diftant 224 'THEORY of the EARTH. diftant events; confequently, of difcovering, in the general powers of nature, caufes for thofe events of which we fee the efFeds. THAT the confolidating operation, in general, lies out of the reach of our immediate obfervation, will appear from the fol- lowing truth : All the confolidated maffes, of which we now enquire into the caufe, are, upon the furface of the earth in a flate of general decay, although the various natures of thofe bodies admit of that diflblution in very different degrees *. FROM every view of the fubject, therefore, we are directed to look into thofe confolidated mafTes themfelves, in order to find principles from whence to judge of thofe operations by which they had attained their hardnefs or confolidated (late. IT muft be evident, that nothing but the moft general ac- quaintance with the laws of acting fubftances, and with thofe of bodies changing by the powers of nature, can enable us to fet about this undertaking with any reafonable profpect of fuc- cefs ; and here the fcience of Chemiflry muft be brought parti- cularly to our aid ; for this fcience, having for its object the changes produced upon the fenfible qualities, as they are called, of bodies, by its means we may be enabled to judge of that which is poflible according to the laws of nature, and of that which, in like manner, we muft confider as impoflible. WHATEVER conclufions, therefore, by means of this fcience, fhall be attained, in juft reafoning from natural appearances, this muft be held as evidence, where more immediate proof cannot be obtained j and, in a phyfical fubject, where things actual are concerned, and not the imaginations of the human mind, this proof will be confidered as amounting to a demon- ftration. PART * STALACTICAL and certain ferruginous concretions may feem to form an exception to the generality of this propofition. But an objection of this kind could only arifc from a partial view of things ; for the concretion here is only temporary, it is in confe- quence of a folution, and it is to be followed by a diflblution, which will be treated of in its proper place. 7HEORT of the EARTH. 225 PART II. An Invefligation of the Natural Operations employed in confolidating the Strata of the Globe. THERE are juft two ways in which porous or fpongy bo- dies can be confolidated, and by which fubflances may be formed into mafles of a natural fhape and regular ftruclure ; the one of thefe is fimple congelation from a fluid ftate, by means of cold ; the other is accretion ; and this includes a fepa- ratory operation, as well as that by which the folid body is to be produced. But, in whichever of thefe ways folidity is to be procured, it muft be brought about by firft inducing fluidity, either immediately by the action of heat, or mediately with the afllftance of a folvent, that is, by the operation of folution. THUS, fire and water may be confidered as the general agents in this operation which we would explore. We are, therefore, to confider well, what may be the confequences of confolidation by the one or other of thofe agents ; and what may be their fe- veral powers with refpedl to this operation. IF we are not informed in this branch of fcience, we may gaze without inftruc~lion upon the moft convincing proofs of what we want to attain. If our knowledge is imperfect, we may form erroneous principles, and deceive ourfelves in rea- foning with regard to thofe works of nature, which are wifely calculated for our inftruction. THE ftrata, formed at the bottom of the fea, are to be con- fidered as having been confolidated, either by aqueous folution and cryftallization, or by the effect of heat and fufion. If it is in the firft of thefe two ways that the folid ftrata of the globe have attained to their prefent ftate, there will be a cer- tain uniformity obfervable in the effects ; and there will be ge- F f neral 226 THEORY of the EARTH. neral laws, by which this operation mufl have been conduced. Therefore, knowing thofe general laws, and making juft ob- fervations with regard to the natural appearances of thofe con- folidated mafTes, a philofopher, in his clofet, mould be able to determine, what may, and what may not have been tranfacted in the bowels of the earth, or below the bottom of the ocean. LET us now endeavour to afcertain what may have been the power of water, acting under fixed circumftances, operating upon known fub fiances, and conducting to a certain end. THE action of water upon all different fubftances is an ope- ration with which we are familiar. We have it in our power to apply water in different degrees of heat for the folution of bodies, and under various degrees of compreffion j confequent- ly, there is no reafon to conclude any thing myflerious in the operations of the globe, which are to be performed by means of water, unlefs an immenfe compreffing power mould alter the nature of thofe operations. But compreffion alters the relation of evaporation only with regard to heat, or it changes the de- gree of heat which water may be made to contain j confequent- ly, we are to look for no occult quality in water acting upon bodies at the bottom of the deepeft ocean, more than what can be obferved in experiments which we have it in our power to WITH regard again to the effect of time. Though the con- tinuance of time may do much in thofe operations which are extremely flow, where no change, to our obfervation, had ap- peared to take place ; yet, where it is not in the nature of things to produce the change in queftion, the unlimited courfe of time would be no more effectual, than the moment by which we meafure events in our obfervations. WATER being the general medium in which bodies collected at the bottom of the fea are always contained, if thofe maffes of collected matter are to be confolidated by folution, it muft be by the diffolution of thofe bodies in that water as a men- ftruum, THEORY of the EARTH. 227 ftrunm, and by the concretion or cryftallization of this diflblved matter, that the fpaces, firft occupied by water in thofe mafles, are afterwards to be filled with a hard and folid fubflance ; but without fome other power, by which the water contained in thofe cavities and endlefs labyrinths of the flrata, fliould be fe- parated in proportion as it had performed its talk, it is incon- ceivable how thofe mafles, however changed from the ftate of their firft fubfidence, mould be abfolutely confolidated, without a particle of fluid water in their compofition. BESIDES this difficulty of having the water feparated from the porous mafles which are to be confolidated, there is another with which, upon this fuppofition, we have to ftruggle. This is, From whence fliould come the matter with which the num- berlefs cavities in thofe mafles are to be filled ? THE water in the cavities and interflices of thofe bodies com- pofmg ftrata, muft be in a ftagnating ftate ; consequently, it can only a£l upon the furfaces of thofe cavities which are to be filled up. But with what are they to be filled ? Not with wa- ter ; they are full of this already : Not with the fubftance of the bodies which contain that water ; this would be only to make one cavity in order to fill up another. If, therefore, the cavities of the ftrata are to be filled with folid matter, by means of water, there nvuft be made to pafs through thofe porous maf- fes, water impregnated with fome other fubftances in a diflblved ftate ; and the aqueous menftruum mull be made to feparate from the diflblved fubftance, and to depofit the fame in thofe cavities through which the folution moves. BY fuch a fuppofition as this, we might perhaps explain a partial confolidation of thofe ftrata ; but this is a fuppofition, of which the cafe under confideration does not admit ; for in the prefent cafe, which is that of materials accumulated at the bottom of the ocean, there is not proper means for fepa- rating the diflblved matter from, the water included in thofe enormous mafles ; nor are there any means by which a circula- F f 2 tion 228 THEORY of the EARTH. tion in thofe mafTes may be formed. In this cafe, therefore, where the means are not naturally in the fuppofition, a philofo- pher, who is to explain the phenomenon by the natural opera- tion of water in this fituation, mud not have recourfe to ano- ther agent, Mill more powerful, to affift his fuppofition, which cannot be admitted. THUS, it will appear, that, to confolidate ftrata formed at the bottom of the fea, in the manner now confidered, opera- tions are required unnatural to this place ; confequently, not to be fuppofed in order to fupport a hypothec's. BUT now, inftead of enquiring how far water may be fup* pofed inftrumental in the confolidation of ftrata which were originally of a loofe texture, we are to confider how far there may be appearances in thofe confolidated bodies, by which it might be concluded, whether or not the prefent ftate of their confolidation has been actually brought about by means of that agent. IF water had been the menftruum by which the confolidating matter was introduced into the interftices of ftrata, mafTes of thofe bodies could only be found confolidated with fuch fub- ftances as water is capable of diflblving ; and thefe fubftances would be foxmd only in fuch a ftate as the fimple feparation of the diflblving water might produce. IN this cafe, the confolidation of ftrata would be extremely limited ; for we cannot allow more power to water than we find it has in nature j nor are we to imagine to ourfelves unli- mited powers in bodies, on purpofe to explain thofe appear- ances, by which we mould be made to know the powers of na- ture. Let us, therefore, attend, with every poflible circum- fpection, to the appearances of thofe bodies, by means of which we are to inveftigate the principles of mineralogy, and know the laws of nature. THE queftion now before us concerns the confolidating fubr ftances of ftrata. Are thefe fuch as will correfpond to the dif- folving THE 0 R T of the EA R Tff. 229 folving power of water, and to the ftate in which thofe fub- ftances might be left by the feparation of their menftruum ? No ; far, far from this fuppofition is the conclufion that necef- farily follows from natural appearances. WE have ftrata confolidated by calcareous ipar, a thing per- fectly diftinguifhable from the ftalac"lical concretion of calca- reous earth, in confequence of aqueous folution. We have ftrata made folid by the formation of fluor, a fubftance not foluble, fo far as we know, by water. We have ftrata confoli- dated with fulphureous and bituminous fubftances, which do not correfpond to the folution of water. We have ftrata con- folidated with filiceous matter, in a ftate totally different from that under which it has been obferved, on certain occafions, to be depofited by water. We have ftrata confolidated by feld- fpar, a fubftance infoluble in water. We have ftrata confoli- dated by almoft all the various metallic fubftances, with their almoft endlefs mixtures and fulphureous competitions j that is to fay, we find, perhaps, every different fubftance introduced into the interftices of ftrata which had been formed by fubfi^ dence at the bottom of the fea. IF it is by means of water that thofe interftices have been filled with thofe materials, water muft be, like fire, an univer- fal folvent, or caufe of fluidity, and we muft change entirely our opinion of water in relation to its chemical character. But there is- no neceffity thus to Violate our chemical principles, in order to explain certain natural appearances; more efpecially if thofe appearances may be explained in another manner, con- fiftently with the known laws of nature. IF, again, it is by means of heat and fufion that the loofe and porous ftruclure of ftrata fhall be fuppofed to have been confolidated, then every difficulty which had occurred in rea- foning upon the power or agency of water is at once removed; The loofe and difcontinuous body of a ftratum may be clofed by means of foftnefs and compreffion j the porous ftruclure of tho; 230 THEORY of the EARTH. the materials may be confolidated, in a fimilar manner, by the fufion of their fubftance ; and foreign matter may be intro- duced into the open ftruclure of ftrata, in form of fleam or ex- halation, as well as in the fluid ftate of fufion ; confequently, heat is an agent competent for the confolidation of ftrata, which water alone is not. If, therefore, fuch an agent could be found acting in the natural place of ftrata, we muft pro- nounce it proper to bring about that end. THE examination of nature gives countenance to this fuppo- fition, fo far as ftrata are found confolidated by every fpecies of fubftance, and almoft every poffible mixture of thofe different fubftances ; confequently, however difficult it may appear to have this application of heat, for the purpofe of confolidating ftrata formed at the bottom of the ocean, we cannot, from na- tural appearances, fuppofe any other caufe, as having actually produced the effects which are now examined. THIS queftion, with regard to the means of confolidating the ftrata of the globe, is, to natural hiftory, of the greateit importance ; and it is efTential in the theory now propofed to be given of the mineral fyftem. It would, therefore, require to be difcufled with fome degree of precifion, in examining the particulars ; but of thefe, there is fo great a field, and the fubjecl is fo complicated in its nature, that volumes might be written upon particular branches only, without exhaufting what might be faid upon the fubjecl j becaufe the evidence, though ftrong in many particulars, is chiefly to be enforced by a multitude of facts, confpiring, in a diverfity of ways, to point out one truth, and by the impoflibility of reconciling all thefe facts, except by means of one fuppofition. BtTT, as it is neceflary to give fome proof of that which is to be a principle in our reafoning afterwards, I fliall now endea- vour to generalize the fubject as much as poflible, in order to anfwer that end, and, at the fame time, to point out the par- ticular method of enquiry. THERE THEORY of the EARTH. 231 THERE are to be found, among the various ftrata of the globe, bodies formed of two different kinds of fubftances, ftliceous bo- dies, and thofe which may be termed fulpbureous. With one or other, or both of thofe two fubftances, every different con- folidated flratum of the globe will be found fo intimately mix- ed, or clofely connected, that it muft- be concluded, by what- ever caufe thofe bodies of filiceous and fulphureous matter had been changed from a fluid to a concreted ftate, the ftrata muft have been fimilarly affected by the fame caufe. THESE two fpecies of bodies, therefore, the filiceous and the fulphureous, may now be examined, in relation to the caufes of their concretion, with a view to determine, what has been the general concreting or confolidating power, which has operated univerfally in the globe j and particularly to {hew, it has not been by means of any fluid folution, that ftrata in general have been confolidated, or that thofe particular fubftances have been cryftallized and concreted. SILICEOUS matter, phyfically fpeaking, is not foluble in water j that is to fay, in no manner of way have we been enabled to learn, that water has the power of difTolving this matter. MANY other fubftances, which are fo little foluble in water, that their folubility could not be otherwife detected of them- fe,lves, are made to appear foluble by means of filiceous matter; fuch is feld-fpar, one of the component parts of rock-granite. FELD-SPAR is a compound of filiceous, argillaceous, and cal- careous earth, intimately xmited together. This compound fi- liceous body being, for ages, expofed to the weather, the calca- reous part of it is diflblved, and the filiceous part is left in form of a foft white earth. But whether this difTolution is perform- ed by pure water, or by means alfo of an acid, may perhaps be queftioned. This, however, is certain, that we muft con- fider filiceous fubftances as infoluble in water. THE 232 THEORY of the THE water of Giezer in Iceland undoubtedly contains this fubftance in folution ; but there is no reafon to believe, that it is here diflblved by any other than the natural means j that is, an alkaline fubftance, by which liliceous bodies may be rendered foluble in water. IT may be, therefore, afTerted, that no filiceous body lia-ving the hardnefs of flint, nor any cryftallization of that fubftance, has ever "been formed, except by fufion. If, by any art, this fubftance mall be diflblved in fimple water, or made to cryftal- lize from any folution, in that cafe, the aflertion which has been here made may be denied. But where there is not the veftige of any proof, to authorife the fuppofition of flinty matter be- ing diflblved by water, or cryflallized from that folution, fuch an hypothefis cannot be admitted, in oppofition to general and evident appearances. BESIDES this proof for the fufion of filiceous bodies, which is indirect, arifing from the indifTolubility of that fubftance in water, there is another, -which is more direct, being founded upon appearances which are plainly inconfiftent with any other .fuppofition, except that of fimple fluidity induced by heat. The proof I mean ,is, the penetration of many bodies with a flinty fubftance, which, according to every collateral circumftance, muft have been performed by the flinty matter in a fimply fluid ftate, and not in a ftate of diflolution by «. folvent. THESE are flinty bodies perfectly infulated in ftrata both of chalk and fand. It requires but infpection to be convinced. It is not poflible that flinty matter could be conveyed into the middle of thofe ftrata, by a menftruum in which it was dif- folved, and thus depofited in that- place, without the fmalleft .trace of 'depofition in the furrounding parts. BUT, befides this argument taken from what does not appear, the actual form in which thofe flinty mafles are found, ctemon- flrates, THEORY of the EARTH. 233 ft rates, firft^ That they have been introduced among thofe ftrata in a fluid flate, by injection from fome other place, idly^ That they have been difperfed in a variety of ways among thofe ftra- ta, then. deeply immerfed at the bottom of the fea j .and, laftly^ That they have been there congealed from the ftate of fufion, and have remained in that fituation, while thofe ftrata have been removed from the bottom of the ocean to the furface of the prefent land. To defcribe thofe particular appearances would draw this pa- per beyond the bounds of an eflay. We muft, therefore, re- fer thofe who would enquire more minutely into the fubject, to examine the chalk-countries of France and England, in which the flint is found varioufly formed ; the fand-hills inter- fperfed among thofe chalk-countries, which have been alfo in- jedled by melted flint ; and the pudding-ftone of England, which I have not feen in its natural fituation. More particu- larly, I would recommend an examination of the infulated mafles of ftone, found in the fand-hills by the city of Bruflels ; a ftone which is formed by an injection of flint among fand, fimilar to that which, in a body of gravel, had formed the pudding-ftone of England *. ALL thefe examples would require to be examined upon the fpot, as a great part of the proof for the .fufion of the flinty fubftance, arifes, in my opinion, from the form in which thofe bodies are found, and the ftate of the furrounding parts. But there are fpecimens brought from many different places, which contain, in themfelves, the moft evident marks of this injec- tion of the flinty fubftance in a fluid ftate. Thefe are pieces of foffil wood, penetrated with a filiceous fubftance, which are brought from England, Germany, and Lochneagh in Ireland. IT appears from thefe fpecimens, that there has fometimes been a prior penetration of the body of wood, either with G g irony * ACCURATE defcriptions of thofe appearances, with drawings, would be, to natural hiftory, a valuable acquifition. 234 THEORT of the EARTH. irony matter, or calcareous fubftance. Sometimes, again, which is the cafe with that of Lochneagh, there does not feem to have been any penetration of thofe two fubftances. The injected flint appears to have penetrated the body of this wood, im- merfed at the bottom of the fea, under an irnmenfe compref- fion of water. This appears from the wood being penetrated partially, fome parts not being penetrated at all. Now, in the limits between thofe two parts, we have the moft convincing proofs, that it had been flint in a fimple fluid ftate which had penetrated the wood, and not in a ftate of fo- lution. Firft, BECAUSE, however little of the wood is left unpene- trated, the divifion is always diftincl: between the injected part and that which is not penetrated by the fluid flint. In this cafe, the flinty matter has proceeded a certain length, which is marked, and no farther ; and, beyond this boundary, there is no partial impregnation, nor a gradation of the flintifying ope- ration, as muft have been the cafe if filiceous matter had been depofited from a folution. 2dly, The termination of the flinty impregnation has afTumed fuch a form, precifely, as would naturally happen from a fluid flint penetrating that body. IN other fpecimens of this mineralizing operation, foflil wood, penetrated, more or lefs, with ferruginous and calcare- ous fubftances, has been afterwards penetrated with a flinty fubftance. In this cafe, with whatever different fubftances the woody body fhall be fuppofed to have been penetrated in a ftate of folution by water, the regular ftruc~hire of the plant would ftill .have remained, with its vacuities varioufly filled with the petrifying fubftances, feparated from the aqueous menftruum, and depofited in the vafcular ftruclure of the wood. THERE cannot be a doubt with regard to the truth of this propofition ; for as it is, we frequently find parts of the confo- Ldatea wood, with the vafcular ftruclure remaining, perfectly in THEORY of the EARTH. 235 in its natural fhape and fituation ; but if it had been by aque- ous folution that the wood had been penetrated and confolida- ted, all the parts of that body would be found in the fame na- tural fhape and fituation. THIS, however, is far from being the cafe ; for while, in fome parts, the vafcular ftruclure is preferved entire, it is alfo evident, that, in general, the woody ftruclure is varioufly bro- ken and diflblved by the fufion and cryftallization of the flint. There are fo many and fuch various convincing examples of this, that, to attempt to defcribe them, would be to exceed the bounds prefcribed for this diflertation j but fuch fpecimens are in my pofTeffion, ready for the infpe&ion of any perfon who may defire to ftudy the fubject. WE may now proceed to confider fulphureous fub fiances, with regard to their folubility in water, and to the part which thefe bodies have acted in confolidating the flrata of the globe. THE fulphureous fubftances here meant to be confidered, are fubftances not foluble in water, fo far as we know, but fufible by heat, and inflammable by means of heat and vital air. Thefe fubftances are of two kinds j the one more fimple, the other more compound. THE moft fimple kind is compofed of two different fubftan- ces, viz. phlogifton, with acid or metallic fxibftances ; from which refult, on the one hand, fulphur, and, on the other, me- tals, both properly fo called. The more compound fort, again, is oily matter, produced by vegetables, and forming bituminous bodies. THE firft of thefe is found naturally combined with almoft all metallic fubftances, which are then faid to be mineralized with fulphur. Now, it is well known, that this mineralizing operation is performed by means of heat or fufion j and there is no perfon fkilled in chemiftry that will pretend to fay, this may be done by aqueous folution. The combination of iron and fulphur, for example, may eafily be performed by fufion j G g 2 but, 236 THEORY of the EARTH. but, by aqueous folution, this particular combination is again refolved, and forms an acido-metallic, that is, a vitriolic fub- ftance, after the phlogifton (which refufes aqueous folution) has been feparated from the compofition, by means of the joint operation of vital air. THE variety of thefe fulphureo-metallic fubftances, in point of compofition, is almoft indefinite ; but, unlefs they were all foluble in water, this could not have happened by the action of that folvent. If we mail allow any one of thofe bodies to have been formed by the fluidity of heat, they muft all have been formed in the fame manner j for there is fuch a chain of con- nection among thofe bodies in the mineral regions, that they muft all have been compofed, either, on the one hand, by aqueous folution, or, on the other, by means of heat and fu- fion. HERE, for example, are cryftallized together in one mafs, firft, Pyrites, containing fulphur, iron, copper ; 'idly, Blend^ a compofition of iron, fulphur, and calamine j 3^, Galena, confiding of lead and fulphur ; ^tbly, Marmor metallicum, being the terra ponderofa, faturated with the vitriolic acid j a fub- flance infoluble in water ; 5/£/y, Fluor, a faturation of calcare- ous earth, with a peculiar acid, called the acid of fpar, alfo in- foluble in water j bthly, Calcareous fpar, of different kinds, be- ing calcareous earth faturated with fixed air, and fomething befides, which forms a variety in this fubftance ; laftly^ Siliceous fub/lance, or Quartz cryjlals. All thefe bodies, each poflefling its proper fhape, are mixed in fuch a manner as it would be end- lefs to defcribe, but which may be expreffed in general by fay- ing, that they are mutually contained in, and contain each other. UNLESS, therefore, every one of thefe different fub fiances may be diffolved in water, and cryftallized from it, it is in vain to look for the explanation of thefe appearances in the ope- rations of nature, by the means of aqueous folution. ON fHEORT of the EARTH. 237 ON the other hand, heat being capable of rendering all thefe fubftances fluid, they may be, with the greateft fimplicity, tranfported from one place to another ; and they may be made to concrete altogether, at the fame time, and diftinclly feparate in any place. Hence, for the explanation of thofe natural ap- pearances, which are fo general, no further conditions are re- quired, than die fuppofition of a fufficient intensity of fubter- raneous fire or heat, and a fufficient degree of compreffion upon thofe bodies, which are to be fubjecled to that violent heat, without calcination or change. Exit, fo far as this fuppofition is- not gratuitous, the appearances of nature will be thus ex- plained. I SHALL only mention one fpecimen, which rmift appear mofl decifive of the queflion. It is, I believe, from an Hun- garian mine. In this fpecimen, petro-filex, pyrites, and cin- nabar, are fo mixed together, and cryftallized upon each other, that it is impoflible to conceive any one of thofe bodies to have had its fluidity and concretion from a caufe which had not af- fecled the other two. Now, let thofe who would deny the fu- fion of this filiceous body explain how water could diflblve thefe three different bodies, and depofit them in their prefent fhape. If, on the contrary, they have not the leaft fhadow of reafon for fuch a gratuitous fuppofition, the prefent argument mud be admitted in its full force. SULPHUR and metals are commonly found combined in the mineral regions. But this rale is not univerfal j for they are alfo frequently in a feparate flate. There is- not, perhaps, a metal, among the great number which are now difcovered, that may not be found native, as they are called, or in their metallic flate. METALLIC fubftances are alfo thus found in fome proportion to the difpofition of the particular metals, to refift the minera- lizing operations, and to their facility of being metallized by fire and fufion. Gold, which refufes to be mineralized with fulphur, 238 THEORY of the EARfH. fulphur, is found generally in its native ftate. Iron, again, v Inch is fo eafily mineralized and fcorified, is feldom found in its malleable ftate. The other metals are all found more or lefs mineralized, though fome of them but rarely in the native ftate. BESIDES being found with circumftances thus correfpond- ing to the natural facility, or to the impediments attending the metallization of thofe different calces, the native metals are alfo found in fuch a fhape, and with fuch marks, as can only agree with the fufion of thofe bo dies j that is to fay, thofe appear- ances are perfectly irreconcileable with any manner of folution and precipitation. FOR the truth of this aflertion, among a thoufand other ex- amples, I appeal to that famous mafs of native iron, difcovered, by Mr PALLAS, in Siberia. This mafs being fo well known to all the mineralifts of Europe, any comment upon its fhape and ftructure will be unneceflary *. WE * SINCE this Diflertation was written, M. DE LA PETROCSE has difcovered a native man- ganefe. The circumftances of this mineral are fo well adapted for illuftrating the pre- fent doclrine, and fo well related by M. DE LA PEYROUSE, that I fliould be wanting to the intereft of mineral knowledge, were I not to give here that part of his Memoir. " LORSQUE je fis inscrer dans le journal de phyfique de 1'annee 1/80, au mois de Jan- vier, une Diflertation contenant la claffification des mines de manganefe, je ne connoif- fois point, a cette epoque, la mine de manganefe native. Elle a la couleur de fon r6gu- le : elle falit les doigts de la mgme teinte. Son tifiu paroit aufli lamelleux, et les lames femblent affefter une forte de divergence. Elle a ainfi que lui, 1'eclat metallique ; com- me lui elle fe laifle applatir fous le marteau, et s'exfolie fi 1'on redouble les coups ; mais une circonftance qui eft trop frappante pour que je 1'omette, c'eft la figure de la manga- nefe native, fi prodigieufement conforme a celle du regule, qu'on s'y laifleroit tromper, fi la mine n'e'toit encore dans fa gangue : figure tres-eflentielle a obferver ici, parce qu'elle eft due a la nature meme de la manganefe. En effet, pour reduire toutes les mines en ge- neral, il faut employer divers flux approprie"s. Pour la reduction de la manganefe, bien loin d'ufer de ce moyen, il faut, au contraire, eloigner tout flux, produire la fufion, par la feule violence et la promptetude du feu. Et telle eft la propenfion naturelle et prodigieufe de la manganefe a la vitrification, qu'on n'a pu parvenir encore a reduire fbn regule en un feul culot j on trouve dans le creufet plufieurs petits boutons, qui ferment autant de cu- lots THEORT of the EARTH. 239 WK come now to the fecond fpecies of inflammable bodies called oily or bituminous. Thefe fubftances are alfo found va- rioufly mixed with mineral bodies, as well as forming ftrata of themfelves ; they are, therefore, a proper fubjecl for a particu- lar examination. IN the procefs of vegetation, there are prodxiced oily and re- finous fubftances ; and from the collection of thefe fubftances at the bottom of the ocean, there are formed ftrata, which have afterwards undergone various degrees of heat, and have been varioufly changed, in confequence of the effects of that heat, according as the diftillation of the more volatile parts of thofe bodies has been fuffered to proceed. IN order to underftand this, it muft be confidered, that, while immerfed in water, and under infuperable compreffion, the vegetable, oily, and refinous fubftances, would appear to be unalterable by heat ; and it is only in proportion as certain che- mical feparations take place, that thefe inflammable bodies are changed in their fubftance by the application of heat. Now, the moft general change of this kind is in confequence of eva- poration, or the diftillation of their more volatile parts, by which oily fvibftances become bituminous, and bituminous fub- ftances become coaly. THERE is here a gradation which may be beft underftood by comparing the extremes. ON lots fepares. Dans la mine de manganefe native, elle n'eft point en une feule made j elle eft difpofee egalement en plufieurs culots fepare's, et un peu applatis, comme ceux que 1'art produit j beaucoup plus gros, a la verite, parce que les agens cle la nature doi- vent avoir une autre €nergie, que ceux de nos laboratoires } et cette reflemblance fi ex- afte, femble devoir vous faire penfer que la mine native a etc produite par le feu, tout comme (on regule. La prefence de la chaux argentee de la manganefe, me permettroit de croire que la nature n'a fait que reduire cette chaux. Du refte, cette mine native eft tres-pure, et ne contient aucune partie attirable a 1'aimant. Cette mine, unique jufqu'il ce moment, vient, tout comme les autres manganefe que j'ai decrites, des mines de fer de Sem, dans la vall&e de Viedsrfos, eu Comte dc Foix." Journal de Pbv/tque, Janvier 1786- 240 TH E 0 R T of the EAR ? H. ON the one hand, we know by experiment, that oily and bituminous fubftances can be melted and partly changed into vapour by heat, and that they become harder and denfer, in proportion as the more volatile parts have evaporated from, them. On the other hand, coaly fubftances are deftitute of fu- fibility and volatility, in proportion as they have been expofed to greater degrees of heat, and to other circumftances -favour- able to the diffipation of their more volatile and fluid parts. IF, therefore, in mineral bodies, we find the two extreme ftates of this combuflible fubftance, and alfo the intermediate ftates, we muft either conclude, that this particular operation of heat has been thus actually employed in nature, or we muft explain thofe appearances by fome other means, in as fatisfaclo- ry a manner, and fo as fhall be confident with other appear- ances. IN this cafe, it will avail nothing to have recourfe to the falfe analogy of water diflolving and cryftallizing falts, which has been fo much employed for the explanation of other mineral appearances. The operation here in queftion is of a different nature, and neceflarily requires both the powers of heat and proper conditions for evaporation. THEREFORE, in order to decide the point, with regard to what is the power in nature by which mineral bodies have be- come folid, we have but to find bituminous fubftance in the inoft complete ftate of coal, intimately connected with fome other fubftance, which is more generally found confolidating the ftrata, and affifting in the concretion of mineral fubftances. But I have in my pofTeflion the moft undoubted proof of this kind. It is a mineral vein, or cavity, in which are blended to- gether coal of the moft fixed kind, quartz and marmor metalli- cum. Nor is this all ; for the fpecimen now referred to is con- tained in a rock of this kind, which every naturalift now-a-days will allow to have congealed from a fluid ftate of fufion. I have alfo fimilar fpecimens from the fame place, in which the coal THEORY of the EARTH. 241 coal is not of that fixed and infufible kind, which burns with- out flame or fmoak, but is bituminous or inflammable coal. WE have hitherto been refting the argument upon a fmgle point, for the fake of fimplicity or clearnefs, not for want of thofe circumftances which fhall be found to corroborate the theory. The (Irata of foflil coal are found in almoft every in- termediate (late, as well as in thofe of bitumen and charcoal. Of the one kind is that foflil coal which melts or becomes fluid upon receiving heat ; of the other, is that fpecies of coal, found both in Wales and Scotland, which is perfectly infufible in the fire, and burns like coaks, without flame or fmoak. The one fpecies abounds in oily matter, the other has been diftilled by heat, until it has become a caput mortuum, or perfect coal. THE more volatile parts of thefe bituminous bodies are found in their feparate flate on fome occafions. There is a ftra- turn of limeftone in Fifefhire near Raith, which, though but (lightly tinged with a black colour, contains bituminous mat- ter, like pitch, in many cavities, which are lined with calcare- ous fpar cryftallized. I have a fpecimen of fuch a cavity, in which the bitumen is in fphericles, or rounded drops, immerfed in the calcareous fpar. Now, it is to be obferved, that, if the cavity in the folid limeftone or marble, which is lined with calcareous cryftals con- taining pyrites, had been thus encrufted by means of the fil- tration of water, this water muft have diflolved calcareous fpar, pyrites and bitumen. But thefe natural appearances would not even be explained by this diflblution and fuppofed filtration of thofe fubftances. There is alfo required,^?, a caufe for the feparation of thofe different fubftances from the aqueous men- ftruum in which they had been diflolved : zdly, An explana- tion of the way in which a diflolved bitumen fhould be formed into round hard bodies of the moft folid ftrudure : and, laftlv, ft * \f J * Some probable means for this complicated operation being per- H h formed, 242 THEORY of the EARTH. formed, below the bottom of the ocean, in the clofe cavity of a marble ftratum. THUS, the additional proof, from the facts relating to the bi- tuminous fubflances, confpiring with that from the phaenome- na of other bodies, affords the ftrongeft corroboration of this opinion, that the various concretions found in the internal parts of ftrata have not been occafioned by means of aqueous folu- tion, but by the power of heat and operation of fimple fufion, preparing thofe different fubflances to concrete and cryftallize in cooling. THE arguments which have been now employed for proving that ftrata have been confolidated by the power of heat, or by the means of fufion, have been drawn chiefly from the infolu- ble nature of thofe confolidating fubftances in relation to wa- ter, which is the only general menflruum that can be allowed for the mineral regions. But there are found in the mineral kingdom, many folid mafTes of fal gem, which is a foluble fub- ftance. It may be now enquired, How far thefe mafTes, which are not unfrequent in the earth, tend either to confirm the pre- fent theory, or, on the contrary, to give countenance to that which fuppofes water the chief inftrument in confolidating ftrata. THE formation of fait at the bottom of the fea, without the affiftance of fubterranean fire, is not a thing unfuppofable, as at firft fight it might appear. Let us but fuppofe a rock placed acrofs the gut of Gibraltar, (a cafe nowife unnatural), and the bottom of the Mediterranean would be certainly filled with fait, becaufe the evaporation from the furface of that fea ex- ceeds the meafure of its fupply. BUT ftrata of fait, formed in this manner at the bottom of the fea, are as far from being confolidated by means of aqueous folution, as a bed of fand in the fame fituation ; and we can- not explain the confolidation of fuch a ftratum of fait by means of water, without fuppofing fubterranean heat employed, to THEORY of the EARTH. 243 to evaporate the brine which would fucceflively occupy the in- terftices of the faline cryftals. But this, it may be obferved, is equally departing from the natural operation of water, as the means for confolidating the fediment of the ocean, as if we were to fuppofe the fame thing done by heat and fufion. For the queftion is not, If fubterranean heat be of fufficient inten- fity for the purpofe of confolidating ftrata by the fufion of their fubftances ; the queftion is, Whether it be by means of this agent, fubterranean heat, or by water alone, without the operation of a melting heat, that thofe materials have been va- rioufly confolidated. THE example now under confederation, confolidated mineral fait, will ferve to throw fome light upon the fubject ; for as it is to be fhewn, that this body of fait had been confolidated by perfect fufion, and not by means of aqueous folution, the con- folidation of ftrata of indiflbluble fubftances, by the operation of a melting heat, will meet with all that confirmation which the confiftency of natural appearances can give. THE fait rock in Chefliire lies in ftrata of red marl. Jt is ho- rizontal in its direction. I do not know its thicknefs, but it is dug thirty or forty feet deep. The body of this rock is perfectly folid, and the fait, in many places, pure, colourlefs and tranfpa- rent, breaking with a fparry cubical ftructure. But the great- eft part is tinged by the admixture of the marl, and that in va- rious degrees, from the flighted tinge of red, to the moft per- fect opacity. Thus, the rock appears as if it had been a mafs of fluid fait, in which had been floating a quantity of marly fubftance, not uniformly mixed, but every where feparating and fubfiding from the pure faline fubftance. THERE is alfo to ;be obferved a certain regularity in this fe- paration of the tinging from the colourlefs fubftance, which, at a proper diftance, gives to the perpendicular fection of the rock a diftinguifliable figure in its ftructure. When looking at this appearance near the bottom of the rock, it, at firft, pre- 11 h 2 fented 244 THEORY of the EARTH. Tented me with the figure of regular flratification ; but, upon examining the whole mafs of rock, I found, that it was only towards the bottom that this ftratified appearance took place ; and that, at the top of the rock, the moft beautiful and regular figure was to be observed ; but a figure the moft oppofite to that of ftratification. It was all compofed of concentric circles ; and thefe appeared to be the fe&ion of a mafs, compofed alto- gether of concentric fpheres, like thofe beautiful fyftems of configuration which agates fo frequently prefent us with in mi- niature. In about eight or ten feet from the top, the circles growing large, were blended together, and gradually loft their regular appearance, until, at a greater depth, they again ap- peared in refemblance of a ftratification. THIS regular arrangement of the floating marly fubftance in the body of fait, which is that of the ftrudlure of a coated pebble, or that of concentric fpheres, is altogether inexplicable upon any other fuppofition, than the perfecl fluidity or fufion of the fait, and the attractions and repulfions of the contained fubftances. It is in vain to look, in the operations of folution and evaporation, for that which nothing but perfecl fluidity or fufion can explain. THIS example of a mineral fait congealed from a melted ftate, may be confirmed from another which I have from Dr BLACK, who fuggefted it to me. It is an alkaline fait, found in a mineral ftate, and defcribed in the Philofophical Tranfac- tions, anno 1771. But to underftand this fpecimen, fome- tliing muft be premifed with regard to the nature of foflil al- kali. THE foflil alkali cryftallizes from a diffblved ftate, in com- bining itfelf with a large portion of the water, in the manner of alum ; and, in this cafe, the water is eflential to the confti- tution of that tranfparent cryftalline body ; for, upon the eva- poration of the water, the tranfparent fait lofes its folidity, and becomes a white powder. If, inftead of being gently dried, the THE ORY of the EAR T H. 245 the cryftalline fait is fuddenly expofed to a fufficient degree of heat, that is, fomewhat more than boiling water, it enters into the ftate of aqueous fufion, and it boils, in emitting the water by means of which it had been cryftallized in the cold, and rendered fluid in that heated ftate. It is not poffible to cryftal- lize this alkaline fait from a diflblved ftate, without the combi- nation of that quantity of water, nor to feparate that water without deftroying its cryftalline ftate. BUT in this mineral fpecimen, we have a folid cryftalline fait, with a ftrudure which, upon fracture, appears to be fpar- ry and radiated, fomething refembling that of zeolite. It con- tains no water in its cryftallization, but melts in a fufHcient heat, without any aqueous fufion. Therefore, this fait muft have been in a fluid ftate of fufion, immediately before its con- gelation and cryftallization. IT would be endlefs to give examples of particular facts, fo many are the different natural appearances that occur, at- tended with a variety of different circumftances. THERE is one, however, which is peculiarly diftinct, admits of fufHciently accurate defcription, and contains circumftances from which conclufions may be drawn with clearnefs. This is the iron-ftone, which is commonly found among the argilla- ceous ftrata, attendant upon fo{fil coal, both in Scotland and in England. THIS ftone is generally found among the bituminous fchiftus, or black argillaceous ftrata, either in feparate mafles of various fhapes and fizes, or forming of itfelf ftrata which are more or lefs continuous in their direction among the fchiftus or argilla- ceous beds. THIS mineral contains in general from 40 to 50 per cent, of iron, and it lofes near one third of its weight in calcination. Before calcination it is of a gray colour, is not penetrable by water, and takes a polifh. In this ftate, therefore, it is perfect- ly folid ; but being calcined, it becomes red, porous, and tender. 246 THEORY of the EARTH. THE fadl to be proved with regard to thefe iron-ftones is this, That they have acquired their folid (late from fufion, and not in concreting from any aqueous folution. To abridge this difquifition, no argument is to be taken from contingent circumftances, (which, however, are often found here as well as in the cafe of marbles) ; fuch only are to be employed as are general to the fubjecT:, and arife necefTarily from the nature of the operation. IT will be proper to defcribe a fpecies of thefe ftones, which is remarkably regular in its form. It is that found at Aberlady in Eaft Lothian. THE form of thefe iron-ftones is that of an oblate or much comprefled fphere, . and the fize from two or three inches dia- meter to more than a foot. In the circular or horizontal fec- tion, they prefent the moft elegant feptarium * ; and, from the examination of this particular ftructure, the following con- clufions may be drawn. Fir/t, THAT the fepta have been formed by the uniform contraction of the internal parts of the ftone, the volume of the central parts diminifhing more than that of the circum- ference ; by this means, the feparations of the ftone diminifh, in a progreflion from the centre towards the circumference. id, THAT there are only two ways in which the fepta muft have received the fpar with which they are filled, more or lefs, either, jirft, By infinuation into the cavity of the fepta after thefe were formed ; or, zdly, By feparation from the fubftance of the ftone, at the fame time that the fepta were forming. WERE the firft fuppofition true, appearances would be ob- fervable, fhewing that the fparry fubftance liad been admitted, either through the porous ftruaure of the ftone, or through proper apertures communicating from without. Now, if either one or other of thefe had been the cafe, and that the ftone had .been confolidated from no other caufe than concretion from a difTolved * Plate I. THEORY of the EARTH. 247 diflblved flate, that particular ftru&ure of the ftone, by means of which the fpar had been admitted, muft appear at prefent upon an accurate examination. THIS, however, is not the cafe, and we may reft the argu- ment here. The fepta reach not the circumference j the furface of the ftone is folid and uniform in every part j and there is not any appearance of the fpar in the argillaceous bed around the ftone. IT, therefore, neceflarily follows, that the contraction of the iron-ftone, in order to form fepta, and the filling of thefe cavi- ties with fpar, had proceeded pan paffu ; and that this opera- tion muft have been brought about by means of fufion, or by congelation from a ftate of fimple fluidity and expanfion. IT is only further to be obferved, that all the arguments which have been already employed, concerning mineral con- cretions from a {imply fluid ftate, or that of fufion, here take place. I have feptaria of this kind, in which, befides pyrites, iron-ore, calcareous fpar, and another that is ferruginous and compound, there is contained filiceous cryftals j a cafe which is not fo common. I have them alfo attended with circumftances of concretion and cryftallization, which, befides being extreme- ly rare, are equally curious and interefting. THERE is one fact more which is well worth our attention, being one of thofe which are fo general in the mineral regions. It is the cryftallizations which are found in clofe cavities of the moft folid bodies. NOTHING is more common than this appearance. Cavities are every where found clofely lined with cryftallizations, of every different fubftance which may be fuppofed in thofe places. Thefe concretions are well known to naturalifts, and form part of the beautiful fpecimens which are preferved in the cabinets of collectors, and which the German mineralifts have termed Drufen. I {hall only particularize one fpecies, which may be defcribed upon principle, and therefore may be a pro- pen 248 THE ORY of the EAR T H. per fubject on which to reafon, for afcertaining the order of production in certain bodies. This body, which we are now to examine, is of the agate fpecies. WE have now been confidering the means employed by na- ture in confolidating ftrata which were originally of an open ftructure ; but in perfectly folid ftrata, we find bodies of agate, which have evidently been formed in that place where they now are found. This fact, however, is not ft ill that of which we are now particularly to enquire ; for this, of which we are to treat, concerns only a cavity within this agate ; now, what- ever may have been the origin of the agate itfelf, we are to mew, from what appears within its cavity, that the cryftalliza- tions which are found in this place had arifen from a {imply fluid ftate, and not from that of any manner of folution. THE agates now in queftion are thofe of the coated kind, fo frequent in this country, called pebbles. Many of thefe are filled with a filiceous cryftallization, which evidently proceeds from the circumference towards the centre. Many of them, again, are hollow. Thofe cavities are variously lined with cry- ftallized fubftances j and thefe are the object: of the prefent examination. • BUT before defcribing what is found within, it is neceflary to attend to this particular circumftance, that the cavity is per- fectly inclofed with many folid coats, impervious to air or wa- ter, but particularly with the external cortical part, which is extremely hard, takes the higheft polifli, and is of the moft perfect folidity, admitting the paflage of nothing but light and heat. WITHIN thefe cavities, we find, frft, The coat of cryftals with which this cavity is always lined ; and this is general to all fubftances concreting, in fimilar circumftances, from a ftate of fufion ; for when thus at liberty they naturally cryftallize. idly, We have frequently a fubfequent cryftallization, fet upon the firft, and more or lefs immerfed in it. $dly, There is alfo ibmetimes THEORY of the EARTH. 249 ibmetimes a third cryftallization, fuperincumbent on the fe- cond, in like manner as the fecond was on the firft. I {hall mention fome particulars. I HAVE one fpecimen, in which the primary cryftals are fili- ceous, the fecondary thin foliaceous cryftals of deep red but tranfparent iron-ore, forming elegant figures, that have the form of rofes. The tertiary cryftallization is a frofting of fmall fili- ceous cryftals upon the edges of the foliaceous cryftals. IN other fpecimens, there is firft a lining of colourlefs filice- ous cryftals, then another lining of amethyftine cryftals, and fometimes within that, fuliginous cryftals. Upon thefe fuligi- nous and amethyftine cryftals are many fphericles or hemi- fphe'res of red compact iron-ore, like haematites. IN others, again, the primary cryftals are filiceous, and the fecondary calcareous. Of this kind, I have one which has, up- on the calcareous cryftals, beautiful tranfparent filiceous cryftals, and iron-fphericles upon thefe. Lajily, I HAVE an agate formed of various red and white coats, and beautifully figured. The cavity within the coated part of the pebble is filled up without vacuity, firft, with colourlefs filiceous cryftals ; fecondly, with fuliginous cryftals ; and, laftly, with white or colourlefs calcareous fpar. But between the fpar and cryftals there are many fphericles, feemingly of iron, half funk into each of thefe two different fubftances. FROM thefe facts, I may now be allowed to draw the follow- ing conclufions : F'trfi ', THAT concretion had proceeded from the furface of the agate body inwards. This necefTarily follows from the na- ture of thofe figured bodies, the figures of the external coats always determining the fhape of thofe within, and never, con- trarily, thofe within affecting thofe without. 'idly, THAT when the agate was formed, the cavity then con- tained every thing which now is found within it, and nothing more. I i 2jo THEORY of the EARTH. , THAT the contained fubftances mufl have been in a fluid ftate, in order to their cryftallizing. Loflly, THAT as this fluid flate had not been the effect: of fo- lution in a menftruum, it muft have been fluidity from heat and fufion. THKRE are in jafpers and agates many other appearances, from whence this lafl conclufion may be formed with great cer- tainty and precifion ; but it is hoped, that what has been now given may fufHce for eftablifhing that propofition without any doubt. IT muft not be here objected, That there are frequently found filiceous cryftals and amethyfts containing water ; and that it is impoffible to confine water even in melted glafs. It is true, that here, at the furface of the earth, melted glafs can- not, in ordinary circumftances, be made to receive and inclofe condenfed water ; but let us only fuppofe a fufEcient degree of compreflion in the body of melted glafs, and we can eafily imagine it to receive and confine water, as well as any other fubftance. But if, even in our operations, water, by means of compreflion, may be made to endure the heat of red hot iron without being converted into vapour, what may not the power of nature be able to perform ? The place of mineral operations is not on the furface of the earth; and we are not to limit nature with our imbecility, or eftimate the powers cf nature by the meafure of our own. To conclude this long chemico-mineral difquifition, I have fpecimens in which the mixture of calcareous, filiceous and metallic fubftances, in almoft every fpecies of concretion which is to be found in mineral bodies, may be obferved, and in which there is exhibited, in miniature, almoft every fpecies of mineral tranfaction, which, in nature, is found upon a fcale of grandeur and magnificence. They are nodules contained in the whinftone, porphyry, or bafaltes of the Calton-hill, by Edinburgh ; a body which is to be afterwards examined, when it THE ORT of the EAR ?H. 251 it will be found to have flowed, and to have been in fufion, by the operation of fubterraneous heat. THIS evidence, though moft conclufive with regard to the application of fubterraneous heat, as the means employed in bringing into fufion all the different fubftances with which ftrata may be found confolidated, is not directly a proof that ftrata had been confolidated by the fufion of their proper fub- ftance. It was neceffary to fee the general nature of the evi- dence, for the univerfal application of fubterraneous heat, in the fufion of every kind of mineral body. Now, that this has been done, we may give examples of ftrata confolidated with- sout the introduction of foreign matter, merely by the foftening or fufion of their own materials. FOR this purpofe, we may confider two different fpecies of ftrata, fuch as are perfectly fimple in their nature, of the moft diftinct fubftances, and whofe origin is perfectly undc rftood, confequently, whofe fubfequent changes may be reafoned upon with certainty and clearnefs. Thefe are the filiceous and cal- careous ftrata ; and thefe are the two prevailing fubftances of the globe, all the reft being, in comparifon of thefe, as no- thing ; for unlefs it be the bituminous or coal ftrata, there is hardly any other which does not neceffarily contain more or lefs of one or other of thefe two fubftances. If, therefore, it can be fliewn, that both of thofe two general ftrata have been con- folidated by the fimple fufion of their fubftance, no defideratum or doubt will remain, with regard to the nature of that ope- ration which has been tranfacted at great depths of the earth, places to which all accefs is denied to mortal eyes. WE are now to prove, Jirft, That thofe ftrata have been con- folidated by fimple fufion ; and, idly^ That this operation is univerfal, in relation to the ftrata of the earth, as having pro- duced the various degrees of folidity or hardnefs in thefe bodies. I SHALL firft remark, that a fortuitous collection of hard bo- dies, fuch as gravel and fand, can only touch in points, and I i 2 cannot, 252 THEORY of the EARtH. cannot, while in that hard ftate, be made to correfpond fo pre- cifely to each other's fhape as to confolidate the mafs. But if thefe hard bodies fhould be foftened in their fubftance, or brought into a certain degree of fufion, they might be adapted mutually to each other, and thus confolidate the open ftruclure of the mafs. Therefore, to prove the prefent point, we have but to exhibit fpecimens of filiceous and calcareous ftrata which have been evidently confolidated in this manner. OF the firft kind, great varieties occur in this country. It is, therefore, needlefs to defcribe thefe particularly. They are the confolidated ftrata of gravel and fand, often containing abun- dance of feld-fpar, and thus ^graduating into granite ; a body, in this refpedl, perfectly fimilar to the more regular ftrata which we now examine. THE fecond kind, again, are not fo common in this country, unlefs we confider the {hells and coralline bodies in our lime- ftones, as exhibiting the fame example, which indeed they do. But I have a fpecimen of marble from Spain, which may be defcribed, and which will afford the moft fatisfadlory evidence of the fact in queftion. THIS Spanifh marble may be confidered as a fpecies of pud- ding-ftone, being formed of calcareous gravel ; a fpecies of .marble which, from Mr BOWLES'S Natural Hiftory, appears to be very common in Spain. The gravel of which this marble is compofed, confifts of fragments of other marbles of different kinds. Among thefe, are different fpecies of oolites marble, fome fhell marbles, and fome compofed of a chalky fubftance, or of undiflinguifhable parts. But it appears, that all thefe different marbles had been confolidated or made hard, then broken into fragments, rolled and worn by attrition, and thus collected together, along with fome fand or fmall filiceous bo- dies, into one mafs. Lqftly, This compound body is confoli- dated in fuch a manner as to give the moft diftinft evidence, that THEORY of the EARTH. 253 that this had been executed by the operation of heat or fimple fufion. THE proof I give is this, That befides the general conforma- tion of thofe hard bodies, fo as to be perfectly adapted to each other's fhape, there is, in fome places, a mutual indentation of the different pieces of gravel into each other ; an indentation which refembles perfectly that junction of the different bones of the cranium, called futures, and which muft have necefTarily required a mixture of thofe bodies while in a foft or fluid Mate. THIS appearance of indentation is, by no means, fingular or limited to one particular fpecimen. I have feveral fpecimens of different marbles, in which fine examples of this fpecies of mixture may be perceived. But in this particular cafe of the Spanifh pudding-flone, where the mutual indentation is made between two pieces of hard {tone, worn round by attrition, the foftening or fufion of thefe two bodies is not fimply render- ed probable, but demonllraied. HAVING thus proved, that thofe ftrata had been confolidated by fimple fufion, as propofed, we now proceed to {hew, that this mineral operation had been not only general, as being found in all the regions of the globe, but univerfal, in confoli- dating our earth in all the various degrees, from loofe and in- . coherent {hells and fand, to the moft folid bodies of the filice- ous and calcareous fubftances. To exemplify this in the various collections and mixtures of fands, gravels, fhells and corals, were endlefs and fuperfluous. I {hall only take, for an example, one fimple homogeneous body, in order to exhibit it in the various degrees of confolidation, from the ftate of fimple incoherent earth to that of the mod fo- lid marble. It muft be evident that this is chalk j naturally a foft calcareous earth, but which may be alfo found confolidated in every different degree. THROUGH the middle of the ifle of Wight, there runs a ridge of hills of indurated chalk. This ridge runs from the ifle 254 THE ORY of the EAR mmenfe compreflion, the porous body might be rendered folid ; the power of heat, as the caufe of fluidity and vapour, is equal- ly proper and perfectly competent. Here, therefore, appear- ances are as decidedly in favour of the lafl fuppofition, as they had been inconfiftent with the firft. BUT if ftrata have been confolidated by means of aqueous folution, thefe mafTes fhould be found precifely in the fame ftate as when they were originally depofited from the water. The perpendicular fection of thofe mafles might ihew the com- preflion of the bodies included in them, or of which they are compofed ; but the horizontal faction could not contain any fe- paration of the parts of the ftratum from one another. IF, again, ftrata have been confolidated by means of heat, acting in fuch a manner as to foften their fubftance, then, in cooling, 7HEORT of the EARTH. 259 cooling, they muft have formed rents or reparations of their fubftance, by the unequal degrees of contraction which the contiguous ftrata may have fuffered. Here is a moft decifive mark by which the prefent queftion muft be determined. THERE is not in nature any appearance more diftincl than this of the perpendicular fiflures and feparations in ftrata. Thefe are generally known to workmen by the terms of veins or backs and cutters ; and there is no confolidated ftratum that wants thefe appearances. Here is, therefore, a clear decifion of the queftion, Whether it has been by means of heat, or by means of aqueous folution, that collections of loofe bodies at the bottom of the fea have been confolidated into the hardeft rocks and moft perfedl marbles. ERROR never can be confiftent, nor can truth fail of having fupport from the accurate examination of every circumftance. It is not enough to have found appearances decifive of the que- ftion, with regard to the two fuppofitions which have been now confidered, we may farther feek confirmation of that fuppofi- tion which has been found alone confiftent with appearances. IF it be by means of heat and fufion that ftrata have been confolidated, then, in proportion to the degree of confolidation they have undergone from their original ftate, they fhould, c becaufe the purpofe for which it had been calculated to exift, has been accomplifhed. In the other, again, the free eruption of that powerful matter fhould be reprefled j becaufe there is referved for that power much of another operation in that place. But, according to the wife con- ftitution of things, this muft necefTarily happen. The erup- tion of the fiery vapour from volcanos on the continent or land, is interrupted only occafionally, by the melted bodies flowing in the fubterraneous chimney ; whereas, at the bottom of the ocean, the contact of the water necefTarily tends to clofe the orifice, by accumulating condenfed matter upon the weakeft place. IF this be a juft theory of the natural operations of the globe, we mail have reafon to expect, that great quantities of this melted matter or fufible fubftance may be found in form of lava, among the ftrata of tke earth, where there are no vi- fible marks of any volcano, or burning mountain, having exifl- eft. Here, therefore, is an important point to be determined ; for, if it fhall appear, that much of this melted matter, analo- gous to lava, has been forced to flow among the ftrata which had been formed at the bottom of the fea, and now are found forming THEORY of the EARTH. 277 forming dry land above its furface, it will be allowed, that we have difcovered the fecret operations of nature concocting fu- ture land, as well as thofe by which the prefent habitable earth had been produced from the bottom of the abyfs. Here, there- fore, we mail at prefent reft the argument, with endeavouring to fhew that fuch is actually the cafe. IT appears from CRONSTEDT'S Mineralogy, that the rock- ftone, called trap by the Swedes, the amygdaloides and the fchwarts-ftein of the Germans, are the fame with the whin- flone of this country. This is alfo fully confirmed by fpeci- mens from Sweden, fent me by my friend Dr GAHN. What- ever, therefore, {hall be afcertained with regard to our whin- ftone, may be fo far generalized or extended to the countries of Norway, Sweden, and Germany. THE whinftone of Scotland is alfo the fame with the toad- flone of Derbyfhire, which is of the amygdaloides fpecies ; it is alfo the fame with the ragftone of the fouth of StafFordfhire, which is a fimple whinftone, or perfect trap. England, there- fore, muft be included in this great fpace of land, the mineral operations of which we explore j and alfo Ireland, of which the Giants Caufeway, and many others, are fufficient proof. IN the fouth of Scotland, there is a ridge of hills, which ex- tends from the weft fide of the ifland in Galloway to the eaft fide in Berwickfhire, compofed of granite, of fchiftus, and of filiceous ftrata. The Grampians on the north, again, form another range of mountains of the fame kind ; and between thefe two great fields of broken, tumbled and diftorted ftrata, there lies a field of lefTer hardnefs and confolidation, in gene- ral ; but a field in which there is a great manifeftation of fubter- raneous fire," and of exerted force. THE ftrata in this fpace confift, in general, of fandftone, coal, limeftone or marble, ironftone, and marl or argillaceous ftrata, with ftrata of analogous bodies, and the various compo- fitions of thefe. But what is to the prefent purpofe is this, that, 278 THEORY of the EARTH. that, through all this fpace, there are interfperfed immenfe quantities of whinftone ; a body which is to be diftinguiflied as very different from lava ; and now the difpofition of this whinftone is to be confidered. SOMETIMES it is found in an irregular mafs or mountain, as Mr CRONSTEDT has properly obferved ; but he has alfo faid, that this is not the cafe in general. His words are : " It is ' oftener found in form of veins in mountains of another ' kind, running commonly in a ferpentine manner, contrary " or acrofs to the direction of the rock itfelf." THE origin of this form, in which the trap or whinftone ap- pears, is moft evident to infpeclion, when we confider that this folid body had been in a fluid ftate, and introduced, in that ftate, among ftrata which preferved their proper form. The ftrata appear to have been broken, and the two correfpondent parts of thofe ftrata are feparated to admit the flowing mafs of whinftone. A FINE example of this kind may be feen upon the fouth fide of the Earn, on the road to Grief. It is twenty-four yards wide, ftands perpendicular, and appears many feet above the furface of the ground. It runs from that eaftward, and would feem to be the fame with that which crofles the river Tay, in forming Campfy-lin above Stanley, as a lefler one of the fame kind does below it. I have feen it at Lednoc upon the Am- mon, where it forms a cafcade in that river, about five or fix miles weft of Campfy-lin. It appears to run from the Tay eaft through Strathmore, fo that it may be confidered as having been traced for twenty or thirty miles, and weftwards to Drum- mond caftle, perhaps much farther. Two fmall veins of the fame kind, only two or three feet wide, may be feen in the bed of the Water of Leith, traverfing the horizontal ftrata, the one is above St BERNARD'S well, the other immediately below it. But, more particularly, in the ihire of Ayr, to the north of Irvine, there are to be feen upon the THEORY of the EARTH. 279 the coaft, between that and Scarmorly, in the fpace of about twenty miles, more than twenty or thirty fuch dykes (as they are called) of whinftone. Some of them are of a great thick- nefs ; and, in fome places, there is perceived a fhort one, run- ning at right angles, and communicating with other two that run parallel. THERE is in this country, and in Derbyshire *, another re- gular appearance of this ftone, which CRONSTEDT has not mentioned. In this cafe, the flrata are not broken in order to have the whinflone introduced, they are feparated, and the whinftone is interjected in form of ftrata, having various de- grees of regularity, and being of different thicknefs. On the fouth fide of Edinburgh, I have feen, in little more than the ipace of a mile from eaft to weft, nine or ten mafles of whin- ftone interjected among the ftrata. Thefe mafles of whinftone are from three or four to an hundred feet thick, running pa- rallel in planes inclined to the horizon, and forming with it an angle of about twenty or thirty degrees, as may be feen at all times in the hill of Salifbury Craggs. HAVING thus defcribed thefe mafles, which have flowed by means of heat among the ftrata of the globe, ftrata which had been formed by fubfidence at the bottom of the fea, it will now be proper to examine the difference that fubfifts between thefe fubterraneous lavas, as they may be termed, and the ana- logous bodies, which are proper lavas, in having iflued out of a volcano f. ^ THERE * See Mr WHITEHURST'S Theory of the Earth. •(- The Chevalier de Dolomieu, in his accurate examination of ./Etna and the Lipari iflands, has very well obferved the diftindion of thefe two different fpecies of lavas ; but without feeming to know the principle upon which this eflential difference depends. No bias of fyfiem, therefore, can here be fuppofed as perverting the Chevalier's view, in taking thofe obfervations ; and thefe are interefting to the prefent theory, as correfpond- ing perfectly with the fads from whence it has been formed. It will be proper to give- the ap count of thefe in his own words. LA 28o THEORY of the EARTH. THERE can be no doubt that thefe two different fpecies of bodies have had the fame origin, and that they are compofed of the fame materials nearly j but from the different circum- flances of their production, there is formed a character to thefe bodies, by which they may be perfectly diftinguifhed. The difference of thofe circumftances confifts in this j the one has been emitted to the atmofphere in its fluid ftate, the other only came to be expofed to the light in a long courfe of time, after it had congealed under the compremon of an immenfe load of earth, and after certain operations, proper to the mineral re- gions, had been exercifed upon the indurated mafs. This is the caufe of the difference between thofe erupted lavas, and our whinftone, toadflone, and theSwedifh trap, which may be termed fubterraneous lava. The vifible effects of thofe different opera- tions may now be mentioned. IN the erupted lavas, thofe fubftances which are fubject to calcine and vitrify in our fires, fuffer fimilar changes, when de- livered from a compremon which had rendered them fixed, though LA zeolite eft tres-commune dans certains laves de 1'Ethna ; il feroit peut-etre poflible d'y en rencontrer des morceaux aufli gros que ceux que fournit 1'ifle de Ferro6. Quoi- que cette fubftance femble ici appartenir aux laves, je ne dirai cependant point que tou- tes les zeolites foient volcaniques, ou unies a des matieres volcaniques ; celles que 1'on trouve en Allemagne font, dit-on, dans des circonftances differentes ; mais je doit an- noncer que je n'ai trouve cette fubftance en Sicile, que dans les feules laves qui evidem- ment ont coule dans la mer, et qui ont etc recouvertes par fes eaux. La zeolite des la- ves n'eft point une dejecVion volcanique, ni une production du feu, ni meme un matiere que les laves aient enveloppee lorfqu'elles etoient fluides ; elle eft le refultat d'une opera- tion et d'une combinaifon pofterieure, auxquelles les eaux de la mer ont concouru. Les laves qui n'ont pas etc fubmergees, n'en contiennent jamais. J'ai trouve ces obferva- tions fi conftantes, que par-tout ou je rencontrois de la zeolite, j'etois sur de trouver d'autres preuves de fubmerfion, et partout ou je voyois des laves recouvertes des depots de 1'eau, j'etois sur de trouver de la zeolite, et un de ces fails tn'a toujours indique 1'au- tre. Je me fuis fervi avec fucces de cette obfervation pour diriger mes recherches, et pour connoitre 1'antiquite des laves. Mineralogie de Volcans, par M. Faujas de Saint- Fund. Here would appear to be the diftindlion of fubterraneous lava, in which zeolite and calcareous fpar may be found, and that which has flowed from a volcano, in which neither of thefe are ever obferved. THEORY of the EARTH. 281 though in an extremely heated ftate. Thus, a lava in which there is much calcareous fpar, when it comes to be expofed to the atmofphere, or delivered from the comprefling force of its confinement, efFervefces by the explofion of its fixed air ; the calcareous earth, at the fame time, vitrifies with the other fub- ftances : Hence fuch violent ebullition in volcanos, and hence the emiffion of fo much pumice-ftone and afh.es, which are of the fame nature. IN the body of our whinftone, on the contrary, there is no mark of calcination or vitrification. We frequently find in it much calcareous fpar, or the terra calcarea acrata, which had been in a melted ftate by heat, and had been cryftallized by congelation into a fparry form. Such is the lapis amygdaloides •, and many of our whinftone rocks, which contain pebbles cryftallized and varioufly figured, both calcareous, filiceous, and of a mixture in which both thefe fubftances form diftincl; parts. The fpecimens of this kind, which 1 have from the whinftone or porphyry rock of die Calton-hill, exhibit every fpecies of mineral operation, in forming jafper, figured agate, and marble; and they demonftrate, that this had been per- formed by heat or fufion. I DO not mean to fay, that this demonftration is direcl: ; it is conditional, and proceeds upon the fuppofition, that the bafal- tic or porphyry rock, in which thofe fpecimens are found, is a body which had been in a melted ftate. Now, this is a fuppo- fition for which I have abundance of evidence, were it re- quired ; but naturalifts are now fufficiently difpofed to admit that propofition ; they even draw conclufions from this fact, which, I think, they are not fufficiently warranted in doing ; that is, from this appearance, they infer the former exiftence of volcanos in thofe places. For my part, though I have made the moft ftric"l examination, I never faw any veftige of fuch an event. That there are, in other countries, evident marks of volcanos which have been long extinguiihed, is unqueftionably N n true; 282 'THEORY of the EARTH. true ; but naturalifts, imagining that there are no other marks of fubterraneous fire and fufion, except in the production of a lava, attribute to a volcano, as a caufe, thefe effects, which only indicate the exertion of that power which might have been the caufe of a volcano. IF the theory now given be juft, a rock of marble is no lefs a mark of fubterraneous fire and fufion, than that of the ba- faltes ; and the flowing of bafaltic flreams among ftrata broken and difplaced, affords the mofl fatisfatflory evidence of thofe operations by which the body of our land had been elevated above the furface of the fea ; but it gives no proof that the eruptive force of mineral vapours had been difcharged in a burning mountain. Now, this difcharge is eJTential in the pro- per idea of a volcano. BESIDES this internal mark of an unerupted lava in the fub- ftance of the ftone or body of the flowing mafs, there are others which belong to it in common with all other mineral ftrata, consolidated by fubterraneous fire, and changed from, the place of their original formation ; this is, the being broken and diflocated, and having veins of foreign matter formed in their feparations and contractions. IF thefe are mineral operations, proper to the lower regions of the earth, and exerted upon bodies under immenfe compref- fion, fuch things will be fometimes found in the unerupted lavas, as well as in the contiguous bodies with which they are aflbciated. If, on the contrary, thefe are operations proper to the furface of the earth, where the diflblving power of water and air take place, and where certain ftala&ical and ferruginous concretions are produced by thefe means ; then, in erupted lavas, we mould find mineral concretions, which concretions fhould be denied to bodies which had been confolidated at the bottom of the fea ; that is to fay, where, without the operation of fub- terraneous fire, no changes of that kind could have taken place, as has already been obferved. But in the unerupted fpe- cies THEORY of the EARTH. 283 cles of lava, that is to fay, in our whinftone, every fpecies of mineral appearance is occafionally to be found. Let thofe who have the opportunity to examine, fay, what are to be found in proper lavas, that is, thofe of the erupted kind. Sir WILLIAM HAMILTON informed me, when I mewed him thofe mineral veins and fpars in our whinftone, that he had never obferved the like in lavas. WE have now formed fome conclufions with regard to the nature and production of thofe parts of the land of this globe which we have had the means of examining perfectly ; but from the accounts of travellers, and from the fpecimens which are brought to us from diftant parts, we have reafon to believe, that all the reft of the earth is of the fame nature with that which has been now confidered. The great mafles of the earth are the fame every where ; and all the different fpecies of earths, of rocks or ftone, which have as yet appeared, are to be found in the little fpace of this our ifland. IT is true, that there are peculiar productions in the mineral kingdom which are rare, as being found only in few places j but thefe things are merely accidental in relation to the land, for they belong in property to thofe parts of the mineral region which we never fee. Such are, the diamond of the eaft, the platina of the weft, and the tin of Cornwall, Germany, and Sumatra. Gold and filver, though found in many countries, do not appear to be immediately neceflary in the production of a habitable country. Iron, again, is univerfal in the operations of the globe, and is found often in that profufion which equals its utility. Between thefe two extremes, we find all other mi- nerals, that is to fay, here and there in moderate quantity, and apparently in fome proportion to their ufe. But all thefe fub- ftances are to be confidered as the vapours of the mineral re- gions, condenfed occafionally in the crevices of the land ; and it is only the rocks and ftrata (in which thofe mineral veins are found) that are now examined with regard to their original N n 2 compofition 284 THEORY of the EARTH. compofition at the bottom of the fea, as well as to that opera- tion by which thofe bodies had been indurated in their fub- ftance, and elevated from the place in which they had been, formed. THUS, we have fufficient reafon to believe, that, in knowing the conftruction of the land in Europe, we know the conftitu- tion of the land in every part of the globe. Therefore, we may proceed to form general conclufions, from the knowledge of the mineral region, thus acquired in ftudying thofe parts which are feen. HAVING thus found, firjl, That the confolidated and indu- rated mafles of our ftrata had fuffered the effects of violent heat and fufion j idly. That thofe ftrata, which had been formed in a regular manner at the bottom of the fea, have been violently bended, broken and removed from their original place and fitxi- ation ; and, la/lly, Having now found the molt indubitable proof, that the melting, breaking, and removing power of fub- terraneous fire, has been actually exerted upon this land which we examine, we cannot hefitate in afcribing thefe operations as a caufe to thofe effects which are expofed to our view. Now, thefe may be confidered as confifling in the folid ftate and pre- fent fituation of thofe ftratified bodies, originally formed by fubfidence in the ocean ; appearances which cannot, in reafon, be afcribed to any other caufe, and which, upon this principle, are perfectly explained. IT is not meant to fpecify every particular in the means em- ployed by nature for the elevation of our land. It is fufficient to have {hewn, that there is, in nature, means employed for the confolidating of ftrata, formed originally of loofe and incoherent materials ; and that thofe fame means have alfo been employed in changing the place and fituation of thofe ftrata. But how defcribe an operation which man cannot have any opportunity of perceiving ? Or how imagine that, for which, perhaps, there are not proper data to be found ? We only know, that the land is THEORY of the EARTH. 285 is raifed by a power which has for principle fubterraneous heat ; but how that land is preferved in its elevated ftation, is a fub- ject in which we have not even the means to form conjecture ; at leaft, we ought to be cautious how we indulge conjecture in a fubject where no means occur for trying that which is but fuppofition. WE now proceed, from the facts which have been properly eftablifhed, to reafon with regard to the duration of this globe, or the general view of its operations, as a living world, main- taining plants and animals. PART IV. Syjlem of Decay and Renovation obferved in the Earth. * PHILOSOPHERS obferving an apparent diforder and confu- fion in the folid parts of this globe, have been led to con- clude, that there formerly exifted a more regular and uniform ftate, in the conftitution of this earth ; that there had happen- ed fome deftructive change ; and that the original ftructure of the earth had been broken and difturbed by fome violent ope- ration, whether natural, or from a fupernatural caufe. Now, all thefe appearances, from which conclufions of this kind have been formed, find the moft perfect explanation in the theory which we have been endeavouring to eftablilh ; for they are the facts from whence we have reafoned, in difcovering the nature and conftitution of this earth : Therefore, there is no occafion for having recourfe to any unnatural fuppofition of evil, to any deftructive accident in nature, or to the agency of any preter- natural cavife, in explaining that which actually appears. IT THEORY of the EARtH. IT is neceffary for a living or inhabited world, that this ihould confifl of land and water. It is alfo neceffary, that the land fhould be folid and ftable, refitting, with great power, the violent efforts of the ocean j and, at the fame time, that this folid land fhould be refolved by the influence of the fun and atmofphere, fb as to decay, and thus become a foil for vegeta- tion. But thefe general intentions are perfectly fulfilled in the conftitution of our earth, which has been now invefligated. This great body being formed of different mixed maffes, ha- ving various degrees of hardnefs and folubility, proper foil for plants is fupplied from the gradual refolution of the folid parts ; fertility in thofe foils arifes from the mixture of different ele- mentary fubftances ; and ftability is procured to that vegetable world, by the induration of certain bodies, thofe rocks and flones, which protect -the fofter maffes of clay and foil. IN this manner, alfo, will eafily be explained thofe natural ap- pearances which diverfify the furface of the earth for the -ufe of plants and animals, and thofe objects which beautify the face of nature for the contemplation of mankind. Such are, the diftinctions of mountains and valleys, of lakes and rivers, of dry barren defarts and rich watered plains, of rocks which ftand apparently unimpaired, by the lapfe of time, and fands which fluctuate with the winds and tides. All thefe are the ef- fects of fleady caufes j each of thefe has its proper purpofe in the fyftem of the earth ; and in that fyftem is contained ano- ther, which is that of living growing bodies, and of animated beings. BUT, befides this, man, the intellectual being, has, in this fubject of the mineral kingdom, the means of gratifying the :defire of knowledge, a faculty by which he is diftinguifhed from the animal, and by which he improves his mind in know- ing caufes. Man is not fatisfied, like the brute, in feeing things which are ; he feeks to know how things have been, ;and what they are to be. It is with pleafure that he obferves order THEORT of the EARTH. 2&7 order and regularity in the works of nature, inftead of being difgufted with diforder and confufion ; and he is made happy from the appearance of wifdom and benevolence in the defign, inftead of being left to fufpecl in the Author of nature, any of that imperfection which he finds in himfelf. LET us now take a view of that fyftem of mineral ceconomy, in which may be perceived every mark of order and defign, of provident wifdom and benevolence. WE have been endeavouring to prove, that all the continents and iflands of this globe had been raifed above the furface of the ocean j we have alfo aimed at pointing out the caufe of this- tranflation of matter, as well as of the general folidity of that which is raifed to our view ; but however this theory fhall be received, no perfon of obfervation can entertain a doubt, that all, or almoft all we fee of this earth, had been originally formed at the bottom of the fea. We have now another object in our view ; this is to inveftigate the operations of the globe, at the time that the foundation of this land was laying in the waters of the ocean, and to trace the exiftence and the nature of things,, before the prefent land appeared above the furface of the waterSi, We fhould thus acquire fome knowledge of the fyftenv according to which this world is ruled, both in its prefervatiort and production ; and we might be thus enabled, to judge, how far the mineral fyftem of the world fhall appear to be contrived with all the wifdom, which is fo manifeft in what are termed the animal and vegetable kingdoms. IT muft not be imagined that this undertaking is a thing unreafonable in its nature j or that it is a work neceflarily be* fet with any unfurmountable difficulty ; for, however imper- fectly we may fulfil this end propofed, yet, fo far as it is to natu- ral caufesthat are to be afcribed the operations of former time, and fo far as, from the prefent ftate of things, or knowledge of natural hiftory, we have it in our power to reafon from effect to caufe, there are, in the conftitution of the world, which we now 288 THEORY of the E4RTH. now examine, certain means to read the annals of a former earth. THE object of enquiry being the operations of the globe, during the time that the prefent earth was forming at the bot- tom of the fea, we are now to take a very general view of nature, without defcending into thofe particulars which fo often occu- py the Speculations of naturalifts, about the prefent ftate of things. We are not at prefent to enter into any difcuffion with regard to what are the primary and fecondary mountains of the earth ; we are not to tonfider what is the firft, and what the laft, in thofe things which now are feen j whatever is moft ancient in the ftrata which we now examine, is fuppofed to be Collecting at the bottom of the fea, during the period concern- ing which we are now to enquire. WE have already confidered thofe operations which had been neceflary in forming our folid land, a body confifting of materials originally depofited at the bottom of the ocean ; we are now to inveftigate the fource from whence had come all thofe materials, from the collection of which the prefent land is formed ; and from knowing the ftate in which thofe materials had exifted, previoufly to their entering the compo- fition of our ftrata, we fhall learn fomething concerning the natural hiftory of this world, while the prefent earth was form- ing in the fea. WE have already obferved, that all the ftrata of the earth are compofed either from the calcareous relicts of fea animals, or from the collection of fuch materials as we find upon our mores. At a grofs computation, there may perhaps be a fourth part of our folid land, which is compofed from the matter that had belonged to thofe animals. Now, what a multitude of living creatures, what a quantity of animal ceconomy muft have been required for producing a body of calcareous matter which is interfperfed throughout all the land of the globe, and which certainly forms a very confiderable part of that mafs ! Therefore THEORY of the EARTH. 289 Therefore, in knowing how thofe animals had lived, or with what they had been fed, we fhall have learned a moft intereft- ing part of the natural hiftory of this earth ; a part which it is necefTary to have afcertained, in order to fee the former ope- rations of the globe, while preparing the materials of the pre- fent land. But, before entering upon this fubjecl, let us exa- mine the other materials of which our land is formed. GRAVEL forms a part of thofe materials which compofe our folid land ; but gravel is no other than a collecYion of the frag- ments of folid flones worn round, or having their angular form deflroyed by agitation in water, and the attrition upon each other, or upon fimilar hard bodies. Confequently, in finding mafles of gravel in the compofition of our land, we mufl conclude, that there had exifted a former land, on which there had been tranfacled certain operations of wind and wa- ter, fimilar to thofe which are natural to the globe at prefent, and by which new gravel is continually prepared, as well as old gravel confumed or diminifhed by attrition upon our mores. SAND is the material which enters, perhaps in greatefl quan- tity, the compofition of our land. But fand is no other than fmall fragments of hard and folid bodies, worn or rounded more or lefs by attrition ; confequently, the fame natural hifto- ry of the earth, which is inveftigated from the mafles of gravel, is alfo applicable to thofe maffes of fand which we find forming fo large a portion of our prefent land throughout all the earth. CLAY is now to be confidered as the laft of thofe materials of which our ftrata are compofed j but, in order to underftand the nature of this ingredient, fomething mufl be premifed. CLAY is a mixture of different earths or hard fubftances, in an impalpable ftate. Thofe fubftances are chiefly the filice- ous and aluminous earths. Other earths are occafionally mixed in clays, or perhaps always to be found in fome fmall portion. But this does not affect the general character of clay ; it only forms a fpecial variety in the fubjecl. A fenfible or confidera- O o ble 290 THEORY of the EARTH. ble portion of calcareous earth, in the competition of clay, con- ftitutes a marl, and a fufficient admixture of fand, a loam. AN indefinite variety of thofe compofitions of clay form a large portion of the prefent flrata, all indurated and confolidated in various degrees ; but this great quantity of filiceous, argil- laceous, and other compound fubflances, in form of earth or impalpable fediment, correfponds perfectly with that quantity of thofe fame fubftances which muft have been prepared in the formation of fo much gravel and fand, by the attrition of thofe bodies in the moving waters. THEREFORE, from the confideration of thofe materials which compofe the prefent land, we have reafon to conclude, that, during the time this land was forming, by the collection of its materials at the bottom of the fea, there had been a former land containing materials fimilar to thofe which we find at pre- fent in examining the earth. We may alfo conclude, that there had been operations fimilar to thofe which we now find natural to the globe, and neceflarily exerted in the actual formation of gravel, fand and clay. But what we have now chiefly in view to illuftrate is this, that there had then been in the ocean afyftem of animated beings, which propagated their fpecies, and which have thus continued their feveral races to this day. IN order to be convinced of that truth, we have but to exa- mine the ftrata of our earth, in which we find the remains of animals. In this examination, we not only«difcover every ge- nus of animal which at prefent exifts in the fea, but probably every fpecies, and perhaps fome fpecies with which at prefent we are not acquainted. There are, indeed, varieties in thofe fpecies, compared with the prefent animals which we examine, but no greater varieties than may perhaps be found among the fame fpecies in the different quarters of the globe. Therefore, the fyftern of animal life, which had been maintained in the ancient fea, had n9t been different from that which now fub- fifts, and of which it belongs to naturalifls to know the hiflory. IT THEORT of the EARTH. 291 IT is the nature of animal life to be ultimately fupported from matter of vegetable production. Inflammable matter may be confidered as the pabulum of life. This is prepared in the bodies of living plants, particularly in their leaves expofed to the fun and light This inflammable matter, on the contra- ry, is confumed in animal bodies, where it produces heat or light, or both. Therefore, however animal matter, or the pa- bulum of life, may circulate through a feries of digefting powers, it is conftantly impaired or diminishing in the courfe of this ceconomy, and, without the productive power of plants, it would finally be extinguifhed. THE animals of the former world muft have been fuftained during indefinite fucceflions of ages. The mean quantity of animal matter, therefore, muft have been preferved by vege- table production, and the natural wafte of inflammable fub- ftance repaired with continual addition •, that is to fay, the quantity of inflammable matter necefTary to the animal con- fumption, muft have been provided by means of vegetation. Hence we muft conclude, that there had been a world of plants, as well as an ocean repleniflied with living animals. WE are now, in reafoning from principles, come to a point decifive of the queftion, and which will either confirm the theory, if it be juft, or confute our reafoning, if we have erred. Let us, therefore, open the book of Nature, and read in her records, if there had been a world bearing plants, at the time when this prefent world was forming at the bottom of the fea. HERE the cabinets of the curious are to be examined ; but here fome caution is required, in order to diftinguifh things perfectly different, which fometimes are confounded. FOSSIL WOOD, to naturalifts in general, is wood dug up from under ground, without enquiring whether this had been the production of the prefent earth, or that which had preceded it in the circulation of land and water. The queftion is im- portant, and the folution of it is, in general, eafy. The vege- O o 2 table 292 THEORY of the EARTH. table productions of the prefent earth, however deep they may be found buried beneath its furface, and however ancient they may appear, compared with the records of our known times, are new, compared with the folid land on which they grew ; and they are only covered with the produce of a vegetable foil, or the alluvion of the prefent land on which we dwell, and on which they had grown. But the foflil bodies which form the prefent fubjecl of enquiry, belonged to former land, and are found only in the fea-born ftrata of our prefent earth. It is to thefe alone that we appeal, in order to prove the cer- tainty of former events. MINERALIZED wood, therefore, is the object now enquired after ; that wood which had been lodged in the bottom of the fea, and there compofed part of a ftratum, which hitherto we have confidered as only formed of the materials proper to the ocean. Now, what a profufion of this fpecies of foflil wood is to be found in the cabinets of collectors, and even in the hands of lapidaries, and fuch artificers of polifhed flones ! In fome places, it would feem to be as common as the agate. I SHALL only mention a fpecimen in my own collection. It is wood petrified with calcareous earth, and mineralized with pyrites. This fpecimen of wood contains in itfelf, even with- out the ftratum of ftone in which it is embedded, the mod perfect record of its genealogy. It had been eaten or perfo- rated by thofe fea-worms which deftroy the bottoms of our mips. There is the cleareft evidence of this truth. Therefore, this wood had grown upon land which ftood above the level of the fea, while the prefent land was only forming at the bottom of the ocean. WOOD is the moft fubftantial part of plants, as {hells are the more permanent part of marine animals. It is not, however, the woody part alone of the ancient vegetable world that is tranfmitted to us in the record of our mineral pages. We have the type of many fpecies of foliage, and even of the moft THEORY of the EARTH. 293 moft delicate flower ; for, in this way, naturalifts have deter- mined, -according to the Linnaean fyftem, the fpecies, or at leaft the genus, of the plant. Thus, the exiftence of a vegeta- ble fyftem at the period now in contemplation, fo far from be- ing doubtful, is a matter of phyfical demonftration. THE profufion of this vegetable matter, delivered into the ocean, which then generated land, is alfo evidenced in the amazing quantities of mineral coal, which is to be found in perhaps every region of the earth. NOTHING can be more certain, than that all the coaly or bi- tuminous ftrata have had their origin from the fubflance of ve- getable bodies that grew upon the land. Thofe ftrata, though, in general, perfectly c'onfolidated, often feparate horizontally in certain places j and there we find the fibrous or vafcular ftruc- ture of die vegetable bodies. Confequently, there is no doubt of foflil coal being a fubftance of vegetable production, how- ever animal fubftances alfo may have contributed in forming this collection of oleaginous or inflammable matter. HAVING thus afcertained the ftate of a former earth, in which plants and animals had lived, as well as the gradual pro- duction of the prefent earth, compofed from the materials of a former world, it muft be evident, that here are two opera- tions which are neceflarily confecutive. The formation of the prefent earth neceflarily involves the deftruction of continents in the ancient world , and, by purfuing in our mind the natu- ral operations of a former earth, we clearly fee the origin of that landj by the fertility of which, we, and all the animated bodies of the fea, are fed. It is in like manner, that, contemplating the prefent operations of the globe, we may perceive the actual exiftence of thofe productive caufes, which are now laying the foundation of land in the unfathomable regions of the fea, and which will, in time, give birth to future continents. BUT though, in generalizing the operations of nature, we have arrived at thofe great events, which, at firft fight, may fill 294- 1-HE ORT of the EAR TH. fill the mind with wonder and with doubt, we are not to flip- pofe, that there is any violent exertion of power, fuch as is re- quired in order to produce a great event in little time ; in na- ture, we find no deficiency in refpecl: of time, nor any limita- tion with regard to power. But time is not made to flow in vain ; nor does there ever appear the exertion of fuperfluous power, or the manifestation of defign,-not calculated in wifdom to effect fome general end. " THE events now under confideration may be examined with a view to fee this truth ; for it may be enquired, why deftroy one continent in order to creel another ? The anfwer is plain ; Nature does not deftroy a continent from having wearied of a fubjecl which had given pleafure, or changed her purpofe, whe- ther for a better or a worfe ; neither does me erecl a continent of land among the clouds, to fhew her power, or to amaze the vulgar man : Nature has contrived the productions of ve- getable bodies, and the fuftenance of animal life, to depend upon the gradual but fure deftruction of a continent ; that is to fay, thefe two operations necefTarily go hand in hand. But with fuch wifdom has nature ordered things in the cecono- my of this world, that the deftruclion of one continent is not brought about without the renovation of the earth in the pro- duction of another ; and the animal and vegetable bodies, for which the world above the furface of the fea is levelled with its bottom, are among the means employed in thofe operations, as well as the fuftenance of thofe living beings is the proper end in view. THUS, in underftanding the proper conftitution of the pre- fent earth, we are led to know the fource from whence had come all the materials which nature had employed in the con- ftruc*lion of the worjd which appears ; a world contrived in confummate wifdom for the growth and habitation of a great diverfity of plants and animals ; and a world peculiarly adapted to THEORT of the EARTH. 295 to the' purpofes of man, who inhabits all its climates, who mea- fures its extent, and determines its productions at his pleafure. THE whole of a great objec~l or event fills us with wonder and aftonifhment, when all the particulars, in the fucceffion of which the whole had been produced, may be confidered with- out the lead emotion. When, for example, we behold the py- ramids of Egypt, our mind is agitated with a crowd of ideas that highly entertains the perfon who underftands the fubjecl: ; but the carrying a heavy {tone up to the top of a hill or moun- tain would give that perfon little pleafure or concern. We wonder at the whole operation of the pyramid, but not at any one particular part. THE raifing up of a continent of land from the bottom of the fea, is an idea that is too great to be conceived eafily in all the parts of its operation, many of which are perhaps unknown to us ; and without being properly underftood, fo great an idea may appear like a thing that is imaginary. In like manner, the co-relative, or correfponding operation, the deftruclion of the land, is an* idea that does not eafily enter into the mind of man in its totality, although he is daily witnefs to part of the operation. We never fee a river in a flood, but we mud ac- knowledge the carrying away of part of our land, to be funk at the bottom of the fea ; we never fee a ftorm upon the coaft, but we are informed of a hoflile attack of the fea upon our country ; attacks which muft, in time, wear away the bulwarks of our foil, and fap the foundations of our dwellings. Thus, great things are not underftood without the analyzing of many operations, and the combination of time with many events hap- pening in fucceffion. LET us now confider what is to be the fubjecl of examina* tion, and where it is that we are to obferve thofe operations which muft determine either the (lability or the inftability of this land on which we live, OUR 296 7" HE ORY of the EAR ? H. OUR land has two extremities ; the tops of the mountains, on the one hand, and the fea-fhores, on the other : It is the interme- diate fpace between thefe two, that forms the habitation of plants and animals. While there is a fea-fhore and a higher ground, there is that which is required in the fyftem of the world : Take thefe away, and there would remain an aqueous globe, in which the world would perifh. But, in the natural operations of the world, the land is perilhing continually ; and this is that which now we want to underftand. UPON the one extremity of our land, there is no increafe, or there is no acceflion of any mineral fubftance. That place is the mountain-top, on which nothing is obferved but conti- nual decay. The fragments of the mountain are removed in a gradual fucceffion from the higheft flation to the lowed. Be- ing arrived at the fhore, and having entered the dominion of the waves, in which they find perpetual agitation, thefe hard fragments, which had eluded the refolving powers natural to the furface of the earth, are incapable of refilling the powers here employed for the definition of the land*. By the attri- tion of one hard body upon another, the moving ftones and rocky fhore, are mutually impaired. And that folid mafs, which of itfelf had potential {lability againfl the violence of the waves, affords the inflruments ,of its own deflrudlion, and thus gives occafion to its aclual inflability. IN order to underftand the fyflem of the heavens, it is ne- ceflary to connect together periods of meafured time, and the diflinguifhed places of revolving bodies. It is thus that fyflem may be obferved, or wifdom, in the proper adapting of powers to an intention. In like manner, we cannot underftand the fyftem of the globe, without feeing that progrefs of things which is brought about in time, thus meafuring the natural operations of the earth with thofe of the heavens. This is pro- perly the bufinefs of the prefent undertaking. OUR 'THEORY of the EARTH. 297 OUR objecl is to know the time which had elapfed fince the foundation of the prefent continent had been laid at the bot- tom of the ocean, to the prefent moment in which we fpecu- late on thefe operations. The fpace is long ; the data for the calculations are, perhaps, deficient : No matter ; fo far as we know our error, or the deficiency in our operation, we proceed in fcience, and (hall conclude in reafon. It is not given to man to know what things are truly in themfelves, but only what thofe things are in his thought. We feek not to know the pre- cife meafure of any thing ; we only underftand the limits of a thing, in knowing what it is not, either on the one fide or the other. WE are investigating the age of the prefent earth, from the beginning of that body which was in the bottom of the fea, to the perfection of its nature, which we confider as in the mo- ment of our exiftence ; and we have neceffarily another sera, which is collateral, or correfpondent, in the progrefs of thofe natural events. This is the time required, in the natural ope- rations of this globe, for the deftrudlion of a former earth j an earth equally perfect with the prefent, and an earth equally productive of growing plants and living animals. Now, it muft appear, that, if we had a meafure for the one of thofe correfponding operations, we would have an equal knowledge of the other. THE formation of a future earth being in the bottom of the ocean, at depths unfathomable to man, and in regions far be- yond the reach of his obfervation, here is a part of the pro- cefs which cannot be taken as a principle in forming an efti- mate of the whole. But, in the definition of the prefent earth, we have a procefs that is performed within the limits of our obfervation ; therefore, in knowing the meafure of this operation, we fhall find the means of calculating what had patted on a former occafion, as well as what will happen in the P p compofition 298 THEORY of the EARtH. compofition of a future earth. Let us, therefore, now attempt to make this eftimate of time and labour. THE higheft mountain may be levelled with the plain from whence it fprings, without the lofs of real territory in the land ; but when the ocean makes encroachment on the ban's of our earth, the mountain, unfupported, tumbles with its weight j and with that acceffion of hard bodies, moveable with the agi- tation of the waves, gives to the fea the power of undermining farther and farther into the folid bans of our land. This is the 'operation which is to be meafured ; this is the mean pro- portional by which we are to eftimate the age of worlds that have terminated, and the duration of thofe that are but begin- ning. BUT how (hall we meafure the decreafe of our land ? Every revolution of the globe wears away fome part of fome rock upon fome coafb ; but the quantity of that decreafe, in that meafured time, is not a meafurable thing. Inftead of a revo- lution of the globe, let us take an age. The age of man does no more in this eftimate than a fingle year. He fees, that the natural courfe of things is to wear away the coaft, with the at- trition of the fand and ftones upon the more ; but he cannot find a meafure for this quantity which mall correfpond to time, in order to form an eftimate of the rate of this decreafe. BUT man is not confined to what he fees ; he has the expe- rience of former men. Let us then go to the Romans and the Greeks in fearch of a meafure of our coafts, which we may compare with the prefent ftate of things. Here, again, we are difappointed ; their defcriptions of the mores of Greece and of Italy, and their works upon the coaft, either give no meafure of a decreafe, or are not accurate enough for fuch a purpofe. IT is in vain to attempt to meafure a quantity which efcapes our notice, and which hiftory cannot afcertain ; and we might juft as well attempt to meafure the diftance of the ftars with- out THEORY of the E4RTH. 299 out a parallax, as to calculate the deftruction of the folid land without a meafure correfponding to the whole. THE defcription which POLYBIUS has given of the Pontus Euxinus, with the two oppofite Bofphori, the Meotis, the Pro- pontis, and the Port of Byzantium, are as applicable to the prefent ftate of things, as they were at the writing of that hi- ftory. The filling up of the bed of the Meotis, an event which, to POLYBIUS, appeared not far off, mud alfo be con- fidered as removed to a very diftant period, though the caufes ftill continue to operate as before. BUT there is a thing in which hiftory and the prefent ftate of things do not agree. It is upon the coafl of Spain, where POLYBIUS fays there was an ifland in the mouth of the harbour of New Carthage. At prefent, in place of the ifland, there is only a rock under the furface of the water. It muft be evident, however, that the lofs of this fmall ifland affords no proper ground of calculation for the meafure or rate of wafting which could correfpond to the coaft in general ; as neither the quantity of what is now loft had been meafured, nor its quali- ty afcertained. LET us examine places much more expofed to the fury of the waves and currents than the coaft of Carthagena, the nar- row fretum, for example, between Italy and Sicily. It does not appear, that this paflage is fenfibly wider than when the Romans firft had known it. The Ifthmus of Corinth is alfo apparently the fame at prefent as it had been two or three thoufand years ago. Scilla and Charibdis remain now, as they had been in ancient times, rocks hazardous for coafting veflels which had to pafs that ftrait. IT is not meant by this to fay, thefe rocks have not been wafted by the fea, and worn by the attrition of moving bo- dies, during that fpace of time ; were this true, and that thofe rocks, the bulwarks of the land upon thofe coafts, had not been at all impaired from that period, they might remain P p 2 for 300 THEORY of the EARTH. for ever, and thus the fyftem of interchanging the place of fea and land upon this globe might be fruftrated. It is only meant to affirm, that the quantity which thofe rocks, or that coaft, have diminifhed from the period of our hiftory, has either been too fmall a thing for human obfervation, or, which is more probable, that no accurate meafurement of the fubjecl, by which this quantity of decreafe might have been afcertained, had been taken and recorded. It muft be alfo evident, that a very fmall operation of an earthquake would be fufficient to render every means of information, in this manner of menfu- ration, unfatisfadory or precarious. PLINY fays Italy was diflant from Sicily a mile and a half; but we cannot fuppofe that this meafure was taken any other- wife than by computation, and fuch a meafure is but little cal- culated to afford us the juft means of a comparifon with the prefent diflance. He alfo fays, indeed, that Sicily had been once joined with Italy. His words are: " Quondam BRUTIO " agro cohserens, mox interfufo mari avulfa *." But all that we can conclude from this hiftory of PLINY is, that, in all times, to people confidering the appearances of thofe two ap- proached coafts, it had feemed probable, that the fea formed a paffage between the two countries which had been once united ; in like manner as is ftill more immediately perceived, in that fmaller disjunction which is made between the ifland of Anglefey and the continent of Wales. THE port of Syracufe, with the ifland which forms the greater and lefler, and the fountain of Arethufa, the water of which the ancients divided from the fea with a wall, do not feem to be altered. From Sicily to the coaft of Egypt, there is an uninter- rupted courfe of fea- for a thoufand miles; confequently, the wind, in fuch a ftretch of fea, mould bring powerful waves againft thofe coafts. But, on this coaft of Egypt, we find the rock on which. was formerly built the famous tower of Pharos ; and *. Lib. 3. cap. 8. , 'THEORY of the EARTH. 3or and alfo, at the eaftern extremity of the port Eunofte, the fea-bath, cut in the folid rock upon the fhore. Both thofe rocks, buf- feted immediately with the waves of the Mediterranean fea, are, to all appearance, the fame at this day as they were in an- cient times *. MANY other fuch proofs will certainly occur, where the dif- ferent parts of thofe coafts are examined by people of obferva- tion and intelligence. But it is enough for our prefent purpofe, that this decreafe of the coafts in general has not been obferved ; and that it is -as generally thought, that the land is gaining up- on the fea, as that the fea is gaining upon the land. To fum up the argument, we are certain, that all the coafts of the prefent continents are wafted by the fea, and conftantly wearing away upon the whole ; but this operation is fo ex- tremely flow, that we cannot find a meafure of the quantity in order to form an eftimate. Therefore, the prefent continents of the earth, which we confider as in a ftate of perfection, would, in the natural operations of the globe, require a time indefinite for their deftruclion. BUT, in order to produce the prefent continents, the de- ftruclion of a former vegetable world was neceflary j confe- quently, the production of our prefent continents muft have required a time which is indefinite. In like manner, if the former continents were of the fame, nature as the prefent, it muft have required another fpace of time, which alfo is inde- finite, before they had come to their perfection, as a vegetable world. WE have been reprefenting the fyftem of this earth as pro- ceeding with a certain regularity, which is not perhaps in na- ture, but which is necefTary for our clear conception of the fyftem of nature. The fyftem of nature is certainly in rule, although we may not know every circumftance of its regula- tion. We are under a neceffity, therefore, of making regular fuppofitions, *; Lettres fur 1'Egypte, M. SAVARY. 302 THEORY of the EARTH. fuppofitions, in order to come at certain conclufions which may be compared with the prefent flate of things. IT is not necefiary that the prefent land fliould be worn away and wafted, exactly in proportion as new land fhall ap- pear ; or, converfely, that an equal proportion of new land fhould always be produced as the old is made to difappear. It is only required, that, at all times, there fliould be a juft pro- portion of land and water upon the furface of the globe, for the purpofe of a habitable world. NEITHER is it required in the actual fyftem of this earth, that every part of the land fliould be diflblved in its ftructure, and worn away by attrition, fo as to be floated in the fea. Parts of the land may often fink in a body below the level of the fea, and parts again may be reftored, without waiting for the general circulation of land and water, which proceeds with all the certainty of nature, but which advances with an imper- ceptible progreflion. Many of fuch apparent irregularities may appear, without the lead infringement on the general fyftem. That fyftem is comprehended in the preparation of future land at the bottom of the ocean, from thofe materials which the diflolution and attrition of the prefent land may have provided, and from thofe which the natural operations of the fea afford. IN thus accomplifhing a certain end, we are not to limit na- ture with the uniformity of an equable progreflion, although it be neceflary in our computations to proceed upon,equalities. Thus alfo, in the ufe of means, we are not to prefcribe to na- ture thofe alone which we think fuitable for the purpofe, in our narrow view. It is our bufinefs to learn of nature (that is by obfervation) the ways and means, which in her wifdom are adopted ; and we are to imagine thefe only in 'order to find means for further information, and to increafe our knowledge from the examination of things which actually have been. It is in this manner, that intention may be found in nature ; but this THEORY of the EARTH. .303 this intention is not to be fuppofed, or vainly imagined, from what we may conceive to be. WE have been now fuppofing, that the beginning of our pre- fent earth had been laid in the bottom of the ocean, at the com- pletion of the former land ; but this was only for the fake of di- ftinc"lnefs. The juft view is this, that when the former land of the globe had been complete, fo as to begin to wafte and be im- paired by the encroachment of the fea, the prefent land began to appear above the furface of the ocean. In this manner we fuppofe a due proportion to be always preferved of land and water upon the furface of the globe, for the purpofe of a habi- table world, fuch as this which we poflefs. We thus, alfo, al- low time and opportunity for the tranflation of animals and plants to occupy the earth. BUT, if the earth on which we live, began to appear in the ocean at the time when the laft began to be refolved, it could not be from the materials of the continent immediately pre- ceding this which we examine, that the prefent earth had been conftrucled ; for the bottom of the ocean muft have been filled with materials before land could be made to appear above its furface. LET us fuppofe that the continent, which is to fucceed our land, is at prefent beginning to appear above the water in the middle of the Pacific Ocean, it muft be evident, that the mate- rials of this great body, which is formed and ready to be brought forth, muft have been collected from the deftruction of an earth which does not now appear. Confequently, in this true ftate- ment of the cafe, there is neceflarily required the definition of an animal and vegetable earth prior to the former land ; and the materials of that earth which is firft in our account, muft have been collected at the bottom of the ocean, and begun to be concocted for the production of the prefent earth, when the land immediately preceding the prefent had arrived at its full extent. THIS, 304 7 'HE ORT of the EAR XCS. Therefore, the elliptical feclors ABS, BCS, are very near- ly equal, and B is very nearly the place of the Planet at the fe- cond oppofition. LET the angles ASB be = u, BSC = i>, CSD = *, DSE =jr» ASC = w, CSE = as, AxS = j£, and CyS = y. Then, AS : A^ —Jin. % :Jin. u, and Cj£, or Aj£ : CS -=.Jin. -v :Jin. %. therefore, AS : CS —Jin. v '.Jin. ut alfo, ES : CS —fin. x :fin.y. THUS, we have obtained the ratio of the three diftances AS, CS, ES, and we have the angles ASC, CSE, given by obfervation. This is all that is necefiary for conftrucling the ellipfe, by means of the 2ift prop, of NEWTON'S Principia, B. I. or of a theorem to be delivered afterwards. THIS ellipfe will be found to have its femitranfverfe axis about nineteen times the earth's diftance from the Sun, and its excentricity about — of its femitranfverfe axis, and the angle PSC about 73°. As it approaches very near to the form of the ellipfe really defcribed by the Planet, we may difcover, by its means, the errors which have arifen from the fuppofition that the fectors ASB, BSC, are equal, when AJC is equal to xB. FOR 318 The Orbit and Motion of FOR this purpofe, bifedl AE in F, draw OFx and SFc ; make x.c to Cc, as cS to cF ; draw CpS, and draw OK parallel AE : It is evident that «c maybe confidered as a ftraight line parallel to EA ; the fegments ExF, F«A, are equal, and the triangles EFS, FSA, are equal ; therefore the elliptical fpaces ExFS, xFSA are equal; but the triangles *cF, CcS are equal, their altitudes be- ing reciprocally as their bafes j therefore, the elliptical fectors ACS, CSE, are equal, and C is the place of the Planet at the third oppofition. Now, cF is nearly equal to the verfed line of cA, which is an arch of about 9°, and is therefore about — of cS. xc is to cF as OK to KF; and therefore xc is nearly OO — ofcF, or -T- — ofcS. Ccis^— of xc. or — 5 — of cS. 20 looo 80 128000 Therefore the angle CSc does not exceed two feconds. If a fi- milar conftruc"lion be made for the points B and D, it will be found that the angles BSb, DSd, will not exceed -g- of a fecond. For BS, CS, DS, are nearly equal, and bH and dG are nearly — of cF j therefore Bb and Dd are nearly —? of Cc. HENCE it is evident, that this fimple and obvious conflruc- tion will give the elements of the orbit with all the accuracy that can be attained by any direct methods from our obferva- tions, becaufe the errors of obfervation are much greater than this j and if the obfervations are not equalifed according to fome probable principle, as has been attempted above, elements cannot be obtained which will be confiflent with them all. The corrections which muft be made for this equalifation are much greater than this error ; and, therefore, no direct methods can give more accurate elements. THIS error, fmall as it is, may be very eafily corrected, by computing its quantity in the ellipfe already conftrucled. This computation GEORGIVM SIDUS. 319 computation muft be exceedingly near the truth, becaufe the ellipfe is very near the truth. But the trouble of this previous conftrudlion may be avoided by means of the following confi- derations : The triangles xFc, 9°737 Mean Longitude, 1786 Jan. I. Noon. M. T. s. ° Green. 3.23.41.13 Longitude of the Aphelion, u. 23. 10. 38 Longitude of the Node, - 2. 12. 48. 45 Inclination of the Orbit, - oo. oo. 46. 26 h. ' " Periodic Time in Days, 30456. or. 40. 48 Mean diurnal Motion, 42 I MAY juft obferve in this place, that if I were difpofed, with fome aftronomers, to admit that the Star, No. 34. Tauri of the Britannic Catalogue, is the new Planet, the elements formed on Sf2 the 324 The Orbit and Motion of the fuppofition of the moft rapid decreafe of the fecond diffe- rences will agree very well with FLAM^TEAD'S obfervation of that Star on December 1 3. 1 690, being only 40", or perhaps on- ly 1 2", to the weftward of it. But the latitude differs more than two minutes from FLAMSTEAD'S latitude, which is right- ly deduced from the Zenith diftance. This is too great an er- ror for him to commit in the obfervation, and we mould there- fore reject the fuppofition on this account alone. But there are ftronger reafons for rejecting it, arifing from the difagreement of thofe elements with the obfervations made on the ftations of the Planet in October 1781, and March and October 1782, which give us a very near approximation to its diftance from the Sun. When compared with obfervations of the Planet near its ftationary points in the Spring, they give the geocentric longitude confiderably too great, while they give it too fmalL for the fimilar obfervations in Autumn. THE appearance of this Planet has ferved to exercife the in- genuity of mathematicians, by a problem confiderably different from that afforded by the motions of comets in very excentric orbits ; and, by this means, has favoured the public with ma- ny improvements in analytical knowledge. My profeffional duty has made me confine myfelf chiefly to the fearch of fuch methods as might be very intelligible to perfons pofleffed of fmall degrees of mathematical knowledge. The method now exhibited has this advantage in an eminent degree ; and therefore, although it will not engage the attention of fkilful mathematicians, I hope it will be ufeful, becaufe it may incite beginners to a zealous profecution of this noble ftudy, by mow- ing them fome of its moft pleafing gratifications. I may add, that the method now exhibited is one of the moft likely to give us an accurate knowledge of the Planet's motion. Another pe- riod of four years will enable us to apply it to arches of double extent, which will diminifh the errors arifing from the unavoid- able inaccuracy of obfervations to one fourth of their prefent quantity, and a comparifon of the new elements with thofe now given. TbeGEORGIUMSIDUS. 325 given, will enable us to diminim them as much again. When it is confidered, that in th'ofe elements no attention has been paid to the gravitation of the Planet to the other fix, it will ftill more clearly appear how abundantly accurate they are for the pur- pofes of aftronomical computation. I TOOK another method of obtaining elements, by means of the ratio of three diftances from the Sun ; namely, by interpo- lating heliocentric places of the Planet, for the times of its vici- nity to its ftations, and comparing thefe with its geocentric places. It is eafy to fee, that this method alfo is fufceptible of great accuracy, after having obferved five oppofitions, which give us fecond and third differences of the heliocentric places, and therefore afford a proper application of the methods of in- terpolation. Elements deduced in this way, almofl perfectly coincided with the above. I alfo obtained, in January 1784, a fet of elements very nearly the fame, by means of the three oppo- fitions which had then been obferved, and by the help of a theorem which I make ufe of in my elements of phyfical aftro- nomy, viz. That the velocity of a body, in any point of the path which it defcribes by the adlion of a centripetal force, is that which it would acquire if uniformly impelled by the cen- tripetal force along \ of that chord of the ofculating circle which pafTes through the centre of forces. I SHALL here fubjoin tables for computing the motion of this Planet. TABLE I. contains the Radical Mean Longitudes of the Planet, Aphelion, and Node ; for the Mean Time of noon at Green- wich, at the beginning of the Aftronomical Year, that is, for the Mean Noon of the 3 1 ft of December immediately preceding., It alfo contains the Mean Sydereal Motions of the Planet for months, days, and hours, and the preceflion of the Equinoxes at the beginning of each month. The fydereal motions are chofen in preference to the tropical, becaufe the motions of the aphelion and node are not yet known. One application of the preceffion of the equinoctial points, is therefore fufficient. TABLE 326 'The Orbit and Motion of TABLE II. contains the Elliptic Equation of the Planet. The argument is the Mean Anomaly, or the Mean Longitude of the Planet — the Longitude of the Aphelion. TABLE III. contains the Logarithm of the Planet's diftance from the Sun, the Earth's mean diftance being i. The argu- ment is the Mean Anomaly of the Planet. TABLE IV. contains the Heliocentric Latitude of the Planet, the Reduction to the Ech'ptic, and the Reduction of the Loga- rithm of the diftance from the Sun. The argument is the Or- bital Longitude of the Planet— the Longitude of the Node. TABLE V. contains the Geocentric Aberration of the Planet, for reducing its true to the apparent place. The argument is the Elongation of the Planet from the Sun. EXAMPLE. REQUIRED the heliocentric place of the Planet for 1787, January 13^. 04 £. 56' oo" M. T. Greenwich. s. ° ' " s. ° ' " s. ° ' " 1787. M. Lon. Plan-3. 28.00. 12,5 Lon. Aphel. n. 23. ri. 28 Lon. Nod. 2. 12.49. 35 b.oo. oo. oo 3.28.09.35 3. 23. 32. 35 AT Mot 9' 13>2 7,1 M. An. 4.04.58.07 Arg.Lat. i. 30.43.00 1,7 Hel. Lat. N. 30. 15 Log. dift. 0 1.2694179 3.28.09.34,5 Red. Log. 168 Eq. Orbit, 4. 36. 59,3 Log. curt. dift. 1.2694011 3-23-32-35>2 Free — Red. 7, 4 Flan, for M. Eq*. 3. 23. 32. 27,8 IT will be remarked, that the deviations from obfervations made near the vernal ftations are in defect, while thofe near the autumnal ftations are in excefs. Hence it may be prefumed, that the mean diftance and periodic time are fomewhat too fmall, and the aphelion too far advanced on the ecliptic. I did not remark this till after I had computed the tables ; and it is a te- dious taflc to make the computation a-new. I have publiflied them, not in the perfualion that they are perfect, but becaufe none have as yet been publifhed in Britain, and I have feen on- ly thofe of DE LA PLACE and ORIANI, both of which are lefs confiftent with obfervations than mine. GEORGIUM SID US. 3*7 TABLE I. RADICAL MEAN PLACES, AND MOTIONS. M. Lon. Plan. Lon. Aphel. Lon. Node. 1 D M. Mot. JH Mot. s ° ' S o / // S ° / * a 1756 ii. 13.43.43,1 II. 22. 25. 48 2. 12. 23. 35 0.42,5 || j 1,8 1781 3.02.01. ,6,5 io. 23. 06. 26 2.12.44.34 1.25,1 1 2 3,6 1782 3. 06. 20. 59,0 1 I. 23. 07. l6 2. 12. 45. 24 2- 07,7 |f 3 5,3 1783 3. 10.40. 41,0 11.23. 08. 07 2. 12. 46. 14 2. 50,2 4 1784 3. 15. oo. 23,0 11.23. 08.57 2.12.47.05 3- 32,7 5 8,9 1785 3. 19. 20. 48,0 11.23.09.48 2- 12. 47« 55 i 4. 15,3 6 10,6 1786 3. 23. 40. 30,5 ii. 23. io. 38 2. 12. 48. 45 •j 4- 57,9 7 12,4 1787 3. 28.00.12,5 II. 23. II. 28 2.12.49.35 5. 40,5 8 14,2 1788 4. 02. 19. 54,7 I I. 23. 12. 19 2. 12. 50. 26 ( 6. 23,0 1| 9 16,0 • 789 4. 06.40. 19,5 11.23. 13.09 2. 12. 51. l6 IO io 17,7 1790 4. ii. oo. 01,7 II. 2 '3* J3- 59 2. 12. 52. 06 II rUi'j in 19,5 1791 4. 15. 19. 23,9 11.23. 14. 50 2. 12.52.57 12 8. 30,7 12 21,3 1792 4. 19. 39. 06, 1 11.23.15.40 2. 12. 53. 47 13 9. 13,2 P3 23,1 1793 4. 23. 29. 30,9 11.23.16.31 2. 12. 54. 32 Ii 9-55,8 P4 24,8 1794 4. 28. 19. 13,1 II. 32. 17. 21 2. 12. 55. 28 15 10. 38,3 h 26,6 '795 5.02.38.55,3 ii. 23. 18. 12 2. 12. 56. l8 16 11.20,9 16 28,4 Vionth. M. Motion. P.Eq 17 12. 03,4 P7 30'1 N. B. In taking out 18 12.46,0 1 8 3J»9 o / « . " the M. Mot. for any day 19 13. 28,5 P9 33,7 an. o reb. o oo. oo. 00,0 oo- 21. 59,1 O,O 4,3 in a leap year, after the 291)1 of February, reckon one day more. 20 21 14.11,1 4- 53,6 20 21 5,5 37,2 VI ar. o oo. 41. 50,6 8,3 J 22 5- 36,2 32 39,0 Apr. o 1.03.49,8 12,5 23 6. 18,7 23 40,8 VI ay, o I. 25. 06,4 16,7 24 7- 01,3 |24 42,5 une, o 1.47. 05,5 20,9 IT 7-43,8 25 uly, o 2. 08. 22,1 25,1 6 8. 26,4 26 Aug. o 2. 30. 21,3 19,3 7 9. 08,9 27 Sept. o 2. 52. 20,4 33,6 b 9-51,5 ;28 oa. o 3* J3* 37»° 37,8 9 o. 34,o '29 Nlov. c 3.- 35- 36,1 c 1.16,6 !3° )ec. c 3. 56. 52,8 *6,i i I«59,i 3i 328 The Orlit and Motion oftht j TAB. II. ELLIPTICAL EQUATION. Arg. M. An. o I. II. 1 — Diff. — Diff. — Diff. o i 0 / " 1 H O ' H / it 0 o. oo. 00,0 5*) o O 2. 3 5 22,4 4 A A *1 4- 34- 36»5 2 C7 1 30 — i 2 3 4 5 o. 05. 23,0 o. 10. 46,0 o. 16. 08,8 0.21.31,3 o. 26. 53,5 • *3>u 5- 23,0 5- 22,8 5- 22,5 5- 22,2 2.40. 07,1 2. 44. 49,6 2. 49- 29,5 2. 54. 06,7 2.58.41,2 • 44>/ 4- 42,5 4- 39,9 4- 37,2 4- 34,5 4-3 T *7 4« 37- 34,2 4. 40. 27,4 4- 43, J5,8 4- 45- 59,5 4- 48- 38,4 *" a/,/ 2. 53,2 2. 48,4 2- 43,7 2- 38,9 *? 1/i 1 29 28 27 26 25 6 7 8 9 o. 32. 15,4 o. 37- 36,7 o. 42. 57,4 o. 48. 17,5 5* 21, y 5-2i,3 5« 20,7 5- 20,1 3- °3« I2,9 3- °7- 4i,7 3- I2- 07,5 3- l6- 3°,3 • 3*»7 4. 28,8 4- 25-8 4. 22,8 4.51. 12,6 4- 53- 4i,7 4- 56. 05,7 4- 58. 24,9 *« 34, ^ 2. 29,1 2. 24,0 2. 19,2 2. 14,1 24 23 22 21 10 o. 53- 36,8 U T« C 3- 20. 49,9 4r(\ A 5. oo. 39,0 2. 08 9 2O ii o. 58- 55,3 5- lo,j 3- 25- 06,3 • 1U>4 5. 02. 47,9 2 07 8 19 12 13 14 15 i. 04. 12,9 i. 09. 29,5 i. 14. 45,0 i. 19. 59,4 5. 16,6 5- 15,5 e* T ^ *> 3- 29- 19,5 3- 33- 29,3 3- 37- 35,7 3- 4i- 38,7 4. 09,8 4- 06,4 4- 03,0 5. 06. 50,2 5- 08. 43,4 *• ^J," I- 58,5 i- 53,2 i- 47,9 1/196 18 17 16 15 16 i. 25. 12,6 5- I3-2 3- 45- 38,0 • 59»3 i cz 8 5- 12. 13,9 • H^,U 14 18 19 20 i. 30. 24,4 I- 35- 34,9 i. 40. 43,9 i-45-5i,3 5- IJ,8 5- 10»5 5- 07,4 3- 49- 33,8 3- 53- 25,8 3. 57. 14,1 4. oo. 58,4 3- 55, 8 3- 52,0 3- 48,3 3-44,3 5- 15- 22,7 5- 16. 48,8 5. 18. 09,5 i. 26,1 i. 20,7 13 12 II 10 5- 05,7 3- 40,6 1. 15,0 21 22 23 24 25 i. 50. 57,0 i. 56. 01,1 2. 01. 03,4 2. 06. 03,7 2. II. 02,2 5- 04,1 5- 02,3 4- 58',5 4- 56,3 4- 54,3 4. 52,1 4- 49,9 4- 47»6 4. 04. 39,0 4- °8- 15,5 4. ii. 48,0 4. 1 8. 40,6 3- 36,5 3- 32,5 3- 28,4 3. 24,2 3-11,2 3- 07,0 3- 02,3 5- 19- 24,5 5- 20. 33,9 5- 21. 37,7 5- 22. 35,7 5- 23. 28,0 1.09,4 1.03,8 o. 58,0 o. 52,3 o. 46,6 o. 40,7 o. 34,9 o. 29,1 o. 23,1 9 8 7 6 5 26 27 28 29 30 2.I5-58,5 2. 20. 52,8 2- 25. 44,9 2. 30. 34,8 2. 35. 22,4 4. 22. 00,5 4. 25. 16,0 4. 28. 27,2 4- 31- 34,2 4- 34- 36,5 5- 24- 14,6 5- 24- 55,3 5- 25- 3°,2 5- 25- 59,3 5. 2<5. 22,4 4 3 2 I O + + + || XI. X. IX. XII. ABSTRACT of a REGISTER of the WEATHER, kept at HAWK HILL, near Edinburgh; containing Obfervutions of the Thermometer, the Quantity of Rain and Evaporation , from 1771 to 1776 inclujive. [Communicated by Mr M.A CGO WA N. ] THIS Abftraft contains the medium heat for the half of each month, and is a continuation of that inferted in the lad Volume of the Phyfical and Literary EJJays. HAWKHILL is fituated IT mile N. E. of Edinburgh. THE Obfervations of the Thermometer were made everyday at 8 o'clock A. M. Months. 1771. »772- lit and zd hall's. Ther. Rain. Evapor. Ther. Rain. Evapor. Deg. Inch. Inch. Deg. Inch. Inch. January, I 31.80 32.40 2 34-56 1.043 °-343 30.56 2.68 1 o.ooo February, I 35-°° 29.42 2 38.28 1.165 3-395 32.46 1-385 o.ooo March, I 35-8o 36.00 2 36.00 0-538 0.958 38.00 1.685 0.805 April, I 38-46 43.20 2 44.86 0.440 2.540 42.60 1.299 2.549 May, I 47.66 48.93 2 53-12 I-385 3-335 49.31 2.024 3-854 June, I 54-46 55-93 2 5693 0.482 4.382 58.40 2-997 4-367 July, I 59.06 60.26 2 57-93 1.848 4.248 57.06 3.688 4.188 Auguft, I 57-26 58.00 2 56.00 3-229 3-429 56-75 2.710 3.018 September, I 52.46 53.60 2 5°-93 1.742 1.942 49.46 3.261 Oftober, I 46.86 5°-73 3-294 2 46.75 5-59 * 1.491 46.88 3-5'3 November, I 41.46 44- 1 3 2 42.26 3-765 0.815 39-33 5-659 0.749 December, I 43-53 42.00 2 39.12 0.966 0.666 37-Ji 1.282 0.572 Sums, 22.194 24-544 32-184 23-558 Means, !45-«5 45-53 u u 334 REGISTER of the WEATHER. Months. 1773- I774- i ft and id lialfs Therm. Rain. Evapor. Therm. Rain. Evapor. Deg. Inch. Inch. Deg. Inch. Inch. January, i 39.06 28.46 2 38-06 3.526 1.436 29-75 2.775 February, I 32.14 34-H 3-699 2 38.00 '•^54 0.504 38.28 2.024 March, I 40.46 34.06 2 43.66 1.225 1.695 40.18 0.859 1-759 April, I 42.40 43- 1 3 2 48.80 3-53° 3-53° 43-13 i-737 3-387 May, I 44-33 46.73 2 52.81 1.827 3-477 46.50 3-49° 3-540 June, I 54-x3* 54.80 2 56.26 0.873 3-673 55-40 3.868 3.268 J^y, I 56-33 57.40 2 59.06 1.405 6.805 57-5° i-5'3 4-463 Auguft, I 60.40 58-I3 2 56.12 1.283 3-583 56-37 4.818 3.168 September, I S3-26 52.40 2 49-33 3.680 51.00 2.925 2.525 Oftober, I 47.20 5-385 51.06 2 4487 2.955 45-5° I-305 2.105 November, I 4i-53 40.63 2 34-93 3-369 0.119 35-5° 2.179 2.179 December, I 35.60 37-4° 2 37-25 3-9'J i-7i5 37-25 2.692 o.ooo Sums, 28.842 31.922 30-185 30.693 Means, 46.08 44.86 Months. REGISTER of the WEATHER. 335 Months. 1775' 1776. ill and id halt's. Therm. Rain. Evapor. Therm. Rain. Deg. Inch. Inch. Deg. Inch. January, i 39.10 33-33 VO o 2 36-5° 4-591 2.040 25.16 3.262 £ February, I 37-64 36-32 bb 2 40.50 3.014 2.214 35-00 2-355 £r March, I 39.80 57.60 2 40.31 1.586 2.836 44.12 1.465 V) m April, I 44-83 43-6o £ 2 48.83 0.578 3.928 48.20 1.213 bo May, I 52.60 47-36 c 2 52.88 1.422 5,272 51.22 0.626 0 June, I 55-66 55.00 8 2 57-53 1.209 •3-309 56.00 2.367 a. July, I 2 58.20 60.06 5.806 3-556 58.16 60.56 3-075 « V jz Auguft, I 59.10 58.60 4J 2 56.21 2.364 2-5H 54-86 2.410 £ September, I 53-2° 55.00 4J • 2 53-33 3.820 1.920 48.60 2-755 B -fi Odober, 1 48.86 48.60 IM 2 4M5 5-309 2.109 45-38 J-735 November, ' I 38.00 45.80 3 2 37'93 3-6l5 0.165 36-13 2.750 -o December, I 41.16 42-54 S 2 36.00 0.760 0.660 33-°° 2.080 •Sums, 34.298 30-754 26.093 Means, 47.08 45-84 Greateft 336 REGISTER of the WEATHER. Greateft Degrees of Cold and Heat, obferved at Hawkhill, from 1766 to 1776 inclufive. 1767. January 17. at 8| h. P. M. 1768. January 3. at loh. P. M. 17. at 8 h. A. M. 1772. February i. at yf h. A. M. N. B. At Selkirk the thermometer, fame morning, continued from 6 h. to 8 h. A. M. 1774. January 12. at yh. A. M. •N. B. Selkirk at 8 h. A. M. And the preceding night at iah. 1776. January 31. at8h. A.M. Same h. at Obfervatory, Hawkhill, At Botanic garden, at 6 h. A. M. faid day, 1770. Auguft 5. at 3Jh. P. M. - - FAHR. Therm. I7-50 17.00 17.00 I2.OO 17.00 12. OO 8.00 14.00 IT.OO 5.00 81.15 Proportion of the Weft Wind to the Eaft for every Month, de- duced from Obfervations made at Hawkhill from 176410 1771 both inclufive. N. B. The South Wind, and all to the Weft of the Meridian, are reckoned Weft. The North Wind, and all to the Eaft of the Me- ridian, are reckoned Eaft. Months. W. wind. E. wind. Months. W. wind. E.wind. January, 22.0 9.0 July, 17.9 U-i February, 1 8.6 9.6 Auguft, 21.3 9-7 March, 17.6 13-4 September, 20.4 9.6 April, 15-9 14.1 Oaober, 23-9 7-i May, 14-5 16.5 November, 22.0 8.0 June, 15.6 14.4 December, II.O For the whole year, 229.7 Weft, 135.5 Eaft. END OF PAPERS OF THE PHTSIC4L CLASS. I, li ' The GEORGTUM S I D U S. 3*9 TAB. II. ELLIPTICAL EQUATION. Arg. M. An. III. IV. V. — Diff. Diff. — Diff. o 0 ' // O f // / H o 3 O 5. 26. 22,4 o. 17,4 o. 11,4 o. 05,4 o. 00,6 o. 08,6 o. 11,5 o. 1 8,6 o. 24,6 o. 3°,7 o. 36,8 o. 42,7 o. 48,9 o. 55,2 i. 00,7 i. 07,2 i- I3,1 i. 19,1 i- 25,3 i- 3*»5 i- 37»3 !• 43»3 i. 49,6 i- 55,3 2. 01,4 2. 07,4 2. 12,9 2- 19,5 2. 24,8 2.31,0 2. 36,6 4-51- 23,4 2. 42,8 2. 48,4 2. 53,8 ,3. 00,1 J3- °5,° 3- 10»9 3- 1 6,4 3- 21,7 3- 27,3 3- 32,5 3- 38,0 3- 43,2 3- 48,3 3- 53,4 3- 58,6 4- 03,4 4. 08,4 4- 13.2 4. i 8,0 4. 22,7 4. 27,2 4- 3L7 4. 36,2 4. 40,6 4.44,8 4.48,9 4- 53,° 4- 57,° 5. 00,8 5- 04,7 2. 52. 12,4 5.08,1 5- 12,0 5- 15,3 5- 18,7 5- 21,9 5-25,1 5.28,1 5-3!,° 5-33,8 5- 36,5 5- 39»o 5-4i,5 5- 43,7 5- 46,o 5- 47,9 5- 5°,o 5- 5i,9 5- 53,5 5-55,i 5- 56,6 5- 57,9 5- 59,o 6. 00,2 6. 01,0 6. 01,9 6. 02,5 6. 03,0 6. 03,5 6- 03,7 6. 03,8 I 2 3 4 5 5. 26. 39,8 5. 26. 51,2 5- 26. 56,6 5. 26. 56,0 5. 26. 48,4 4. 48. 40,6 4- 45- 52,2 4. 42. 58,4 4-39'58,3 4- 36. 53,3 2. 47- °4,3 2. 41. 52,3 2. 36. 37,0 2.31. 18,3 2. 25. 56,4 29 28- 2? 26 25 6 7 8 9 10 5. 26. 36,9 5.26. 18,3 5- 25- 53»7 5- 25- 23,° 5. 24. 46,2 4- 33- 42,4 4. 30. 26,0 4- 27, 04,3 4- 23- 37>° 4. 20. 04,5 2- 20. 31,3 2. 15. 03,2 2. 09. 32,2 2- 03. 58,4 1.58.21,9 24 23 22 21 20 ii 12 !3 14 15 5. 24. 03,5 5. 23. 14,6 5. 22. 19,4 5.21. 18,7 5.20. 11,5 4. 1 6. 26,5 4- 12. 43,3 4. 08. 55,0 4. 05. 01,6 4. 01. 03,0 I. 52. 42,9 1.47.01,4 I.4I. 17,7 1-35-31,7 i. 29. 43,6 J9 18 J7 16 J5 16 J7 18 19 20 5.18.58,4 5- 17- 39,3 5. 1 6. 14,0 5- 14- 42,5 5. 13. 05,2 3» 56. 59,6 3- 52. S1,2 3. 48. 38,0 3. 44. 20,0 3- 39- 57,3 1-23-53,6 i. 18. 01,7 I. 12. O8,2 I. 06. 13,1 i. oo. 1 6,5 J4 J3 12 II 10 21 22 23 24 25 5- 11.21,9' 5- 09- 32,3 5- °7- 37»o 5- 05. 35,6 5. 03, 28,2 3- 35- 3°,J 3- 3°- 58,4 3. 26. 22,2 3. 21. 41,6 3. 16. 56,8 0.54. 1 8,6 o. 48. 19,6 o. 42. 19,4 o. 36. 1 8,4 o. 30. 1 6,5 9 8 6 5 26 27 28 29 3° 5-01- r5,3 4- 58. 55,8 4- 56. 31,0 4. 54. 00,0 4- 5 1- 23,4 3. 12. 07,9 3. 07. I4,9 3.02.17,9 2. 57. 17,1 2. 52. 12,4 o. 24. 14,0 o. 1 8. 11,0 0. 12. 07,5 o 06. 03,8 o. oo. 00,0 4 3 2 I O 1 + + + VIII. Vll. VI. T t 330 The Orbit and Motion of TAB. III. Logarithm of the PLANET'S Diftance from the SUN. Arg. M. An. 0 I. II. 0 Logar. Diff. Logar. Diff. Logar. Diff. 9 o 1.3008817 1.2984548 1.2916063 3° f\ *7 Tn T n 1(\ T A I 2 3 4 5 1.3008790 1.3008708 1,3008571 1.3008379 1.3008133 27 82 137 192 246 1.2982929 1.2981260 1.2979542 1-2977775 1-2975959 1669 1718 1767 1816 1.2913149 1.2910200 1.2907217 1.2904202 1.2901155 •i914 2949 2983 3OI5 3°47 29 28 27 26 25 T SnC 20*78 6 7 1.3007833 1.3007478 JUU 355 1.2974094 1.2972182 iOU^j 1912 1.2898077 1.2894968 au/° 3109 24 8 9 10 1.3007068 1.3006604 1.3006085 q.10 464 5*9 1.2970224 1.2966165 J959 2006 2053 /> TO/-} 1.2891828 1.2888659 1.2885462 3l6,9 3197 2'7'> C 22 21 20 ii 12 14 1.3005512 1.3004886 1.3004206 1.3003473 1.3002684 573 626 680 734 788 RAI 1.2964065 1.2961920 1-295973° 1-2957495 1.2955216 2145 2190 2235 2279 O 09 A 1.2882237 1.2878985 1.2875708 1.2872406 1.2869080 3^ZJ 3252 3277 3326 2.2CO 19 18 17 16 16 18 20 1.3001842 1.3000947 1.2999999 1.2998998 1.2997945 895 948 1001 1.2952892 1.2950525 2.2948116 1.2945664 1.2943170 £344 2367 2409 2452 2494 O C 2£ 1.2865730 1.2862358 1.2858964 1.2855550 1.2852116 OO3U 3372 3394 3414 '3434 2AC/1 14 12 II 10 21 22 23 24 25 1.2996839 1.2995679 1.2994467 1.2993203 1.2991888 1160 1212 1264 1315 1266 1.2940635 1.2938060 1-2935445 1.2932790 1.2930095 •'•Dij 2575 2615 2655 2695 1*722 1.2848662 1.2845190- 1.2841702 1.2838198 1.2834680 5'tj't 3472 3488 3504 2.^2.2 9 8 6 5 26 27 28 29 3° 1.2990522 1.2989105 1.2987636 1.2986117 1.2984548 13UU 1417 1469 1519 1569 1.2927362 1.2924592 1.2921786 1.2918943 1.2916063 •'•/ 56 2770 2806 2843 2879 1.2831148 1.2827603 1.2824045 1.2820476 1.2816896 3JO 3545 3558 3569 358o 4 3 2 I 0 Logar. Diff. Logar. Diff. Logar. Diff. XI. X. IX. fbt GEORGIUM SIDUS. 31* TAB. III. Logarithm of the PLANET'S Diftance from the SUN. Arg. M. An. III. IV. V. 0 Logar. Diff. | Logar. Diff. Logar. Diff. 0 o 1.2816896 oegg 1 1.2710423 9 OO C 1.2627235 3°. i 2 3 4 5 1.2813308 1.2809712 1.2806110 1.2802503 1.2798891 OJ00 3596 3602 3607 3612 ^(\ rf\ 1.2707098 1.2703799 1.2700528 1.2697288 1.2694078 3325 3299 3271 3240 3210 •3 T*?n 1.2625225 1.2623274 1.2621382 1.2619552 1.2617785 i95i 1892 1830 1767 29 28 27 26 25 6 7 8 9 10 1.2795275 1.2791656 1.2788036 i. £784416 1.2780797 JUIU 3619 3620 3620 3619 1.2690899 1.2687754 1.2684644 1.2681570 1.2678533 3X79 3145 3110 3°74 3°37 1.2616080 1.2614439 1.2612863 1.2611352 1.2609906 1641 1576 1511 1446 24. 23 22 21 2O 3616 3614 3609 3604 3597 acRo 2999 2960 2921 2880 2837 1380 1312 1245 1176 1107 ii 12 13 14 15 1.2777181 I.2773567 1.2769958 1.2766354 1.2762757 J-2675534 1.2672574 1.2669653 1.2666773 1.2663936 1.2608526 1.2607214 1.2605969 1.2604793 1.2603686 18 3 15 16 17 18 19 20 1.2759168 1.2755589 1.2752020 1.2748461 1.2744915 o3°y 3579 3569 3559 3546 3C 1 1 1.2661143 1.2658396 1.2655695 1.2653041 1.2650434 Z79o 2747 2701 2654 2607 "j cdn 1.2602647 1.2601677 1.2600777 1.2599948 1.2599190 1039 970 900 829 758 688 14 13 12 II IO 21 22 24 25 1.2741384 1.2737868 1.2730884 1.2727420 OJ61 3516 3483 3464 1.2647875 1.2645367 1.2642911 1.2640507 1.2638157 ^ooy 2508 2456 2404 235° T^C\C\ 1.2598504 1.2597888 1 -2597345 1.2596874 1.2596475 616 543 399 9 8 6 5 26 27 1.2723976 1.2720553 3444 3423 1.2635861 1.2633620 2241 2186 1.2596148 1-2595893 327 255 182 4 3 28 29 3° 1.2717152 I.27I3775 1.2710423 3377 3352 1.2631434 1.2629305 1.2627235 2129 2070 1.2595711 1.2595601 1.2595564 no 37 2 I O Logar. Diff. Logar. Diff. Logar. Diff. VIII. Vll. V. 33* The Orbit and Motion of, &c. TABLE IV. TAB. V. o. N. VI. 5. _ — I. N VII. S -n- - II. N. VIII. S j Elong. Ab. Lat. Red R.lo Lai Red R.Iog Lat. Red R.lo o / /» n / /. « , „ It 0 " O OO. OO 0 O 23.12 8 9S ) 40. 12 8 29/ kc O. OC —24 oo. 49 O O 23-54 8 105 40. 36 8 303 29 1C 2S 2 i. 37 I I 24.36 8 in 40. 59 8 305 28 2C k. 21 1 2. 26 I I 25- 17 9 ii 41. 21 8 3*4 27 I. OC r— 19 i 3- H I 2 25-57 9 I2t 41-43 7 320 26 10 — 17 j 4-03 2 3 26.37 9 *3 42.04 7 325 25 IO / —15 1 4- 51 2 4 27.17 9 13 42. 2/ 7 33° 24 II. ^20 ' 5-39 2 6 27.56 9 14 42.42 7 335 '3 IO IO ! 6.28 3 8 28.35 9 15 43.02 7 340 22 20 — 7 9 7. 16 3 IO 29. is 9 15 43-20 6 345 21 III. 00 / 10 8.04 3 12 29.50 9 164 43-37 6 349 20 IO 3 — O ii 8.51 4 14 30.27 9 170 43-53 6 354||i9 20 + sj 12 9-39 4 17 31. 03 9 17 44. 08 6 358i8: IV. oo 1 J + 6 13 10. 26 4 2O 31.29 9 184 44-23 5 362 17 OI + 0 Z^ ii. 14 4 23 32.14 9 19 44-37 5 366116 02 * y + II J 1 12. OI 5 26 32.49 9 198 44-50 5 369 P5 V. oo 1 + 12 16 12.48 5 3° 33-23 9 205 45-02 4 372[i4 10 + 14 17 13-34 5 33 33-57 9 211 45- 13 4 [76(13 20 + 15 18 14. 21 6 38 34-3° 9 219 45-24 4 379JM VI. oo 1 +J + 16 19 I5-°7 42 35-02 9 22O 45- 34 4 381 ii; 20 15-53 6 46 35-33 9 233 45-43 3 38410 21 16.38 6 51 36. 04 9 239 45- 51 3 386 9 22 17.23 7 55 36-34 9 46 45-58 3 389 8, 23 18. 08 7 61 37-04 9 53 46. 04 2 9° 7 £ 18.53 7 65 37-33 9 59 46. 10 2 92 6 2 = 19-37 7 38. 01 9 65 46. 15 2 93 5 26 20. 21 7 76 38.29 9 7* 46. 1 8 I 94 4 27 21. 04 8 82 38-56 9 78 46. 21 I 94 3 28 21.47 8 88 39-22 8 85 46.23 I 94 2 29 22.30 8 93 39-47 8 91 46.25 O 95 I 3° 23. 12 8 99 \.O. 12 8 97 46.26 O 96 O XI. .). + _ X. 5'. + _ IX. S. -4- V. N. IV. M in. y. II- « PAPERS OF 'THE LlfERART CLASS. II. PAPERS OF THE LITERART CLASS. I. ESSAY on the ORIGIN and STRUCTURE of the EUROPEAN LEGISLATURES. By ALL^N M^CONOCHIE, Efq; Advo- cate, F. R. S. EDIN. and ProfeJJor of Public Law in the U»i~ •uerfity of EDINBURGH. PART I. Of the Period previous to the Conqueji of the Weftern Empire. {Read by the Author, Dec. 15. 1783.] INTRODUCTION. TH E fall of the feudal fyftem was accomplifhed, in the prin- cipal ftates of Europe, at a period when the revival of learning had difrufed in fociety a fpirit of reflexion, and com- municated, to the better fort, fome knowledge of the hiflory of the Greek and Roman republics-. As it was, in general, the kings who conducted the attack on the privileges of the feudal nobility, the principal part of the fpoils had fallen naturally to their {hare. But the people were warlike, the nobles were ftill animated with the pride of rank, of family, and of their ancient confequence, and men, in general, had begun to fpeculate on their rights, and were unaccuflomed to perceive, with fatisfac- tion, the whole powers of government centred in the crown. a 2 Hence 4 On the ORIGIN and S TR UCTUR E of Hence the rights of the kings, of the nobility, and of the peo- ple, came to be a matter of general difcuflion : And as men are ufually prejudiced in favour of the wifdom of their remote anceftors, and derive their more common notions of their poli- tical rights from what was cuftomary in ancient times, the me- rits of the difpute were univerfally fuppofed to turn on the hiftorical queftion of facl:, What conftitution was adopted by the original founders of each particular nation. HENCE the firft refearches into the ancient hiflory of the Eu- ropean governments were made with a view to fupport the te- nets of political factions. Thofe who wifhed to gain the favour of courts laboured to prove the ancient fovereignty of the Gothic kings, and founded their fyftems on the defpotic powers of the leader of a conquering army, and the abfolute nature of a right of conqueft ; from whence they inferred, that the pri- vileges of the ariflocracy were ufurpations on the crown, and the rights of the people the grants of its bounty. The parti- sans of the people again endeavoured to trace the political rights of the commons to a remote antiquity, and exhibited them as underflood and exercifed in the fulleft manner in the earlieft ages of the conftitution j and they contended, that the happi- nefs of thofe times was to be reftored only, by the people re- fuming the conftitutional powers which kings and nobles had alternately ufurped. In fine, thofe who had imbibed from the Greek and Roman claffics, or from family-conneclions, a pro- found reverence for ariftocratic virtues, together with a propor- tionable averfion to plebeian manners, delighted to efpoufe the caufe of the falling nobility, to difplay the ancient powers of the order, and to confute their antagonifts, by tracing the cir- cumfcribed limits of the royal prerogative in remote times, the oppreffions under which the commons laboured, and the little importance they pofTefTed in national affairs. IN this way, opinions with regard to the original ftruclure of the European governments entered into the creeds of contend- ing ttc EUROPEAN LEGrSLATURES. 5 ing factions j and though thefe, in courfe of time, ceafed to be the fubject of profeiTedly polemical writing, their influence is dill fenfible in guiding the views of the hiftorian, and blunting the difcernment of the philofopher and politician. The hiflo- riographer of France, even in thefe days, maintains the abfo- lute legiflative authority of the Merovingian princes. The Abbe MABLY, and Englifh authors of no inferior reputation, Lord LITTELTON, Dr STUART, &c. affirm the remote antiquity of the reprefentation of the commons; and MONTESQUIEU and HUME have conferred their fanction on the ariftocratic fyftem. When a controverfy is thus circumftanced, men of information are apt to indulge fcepticifm, and abandon the fubject ; while fe- cond-rate authors feize it as lawful game, court popularity, by aflerting errors that fuit the tafte of the times, and treat thofe with abufe who venture to reject them. BUT there is, in fact, no period where there is better encou- ragement to hope that an enquiry may be purfued with fuccefs. The very fcepticifm of the literary world, which has begun to efcape from the factions of the laft century, if not fuffered to mar its induftry, will give enlargement to its views, and candour to its difquifitions. Many important facts in the hiflory of rude nations, akin to thofe which founded^the Gothic governments, have been afcertained : Many ancient records, to which the pu- blic had formerly no accefs, have been publifhed j and the ef- forts of great men, during the prefent century, to render hifto- ry an object of philofophical fpeculation, have roufed a fpirit of enlightened obfervation, and taught perfons, poflefled of lite- rary curiolity, how to direct their refearches. I FLATTER myfelf thefe obfervations will afford me fome apology, for prefuming to treat of a fubject which has former- ly drawn the attention of fo many perfons of the firft abilities. My fentiments on it are the refult of an enquiry, to which duty, as well as inclination, prompted me ; and, if they have no other merit, I truft they will at leaft be attended with the 6 On the ORIGIN and STRUCTURE of the advantage of fuggefting an object for the labours of the fociety, highly interefting to us as citizens, as well as lovers of fcience. WHEN we confider, with impartiality, the controverfy about the ancient European conftitutions, the firft reflection that fug- gefts itfelf is, that there muft be fome foundation in truth for the different opinions that have been adopted with regard to them. The partizans of each of the three fyftems produce evi- dence which goes a certain length in fupporting it. There is, therefore, reafon to fuppofe, that all the fyftems are chiefly erro- neous, in fo far as they are exclusive of each other ; and that there muft be an hypothefis, which, if difcovered, would folve every difficulty, and involve in itfelf the doctrines of all the fyftems, to a certain extent. PROCEEDING on this idea, and reflecting what this hypothe- fis may be, we are foon fatisfied that it muft be fome very fim- ple one. It is agreed on all hands, that the conquerors of the em- pire were in a very rude ftate of fociety at the aera of their fettle- ments. Their difpolition to emigrate as nations is alone fufEcient to demonftrate, that hufbandry was very imperfectly practifed among them, and that their principal dependence was on their flocks and herds. In fuch circumftances, we may be aflured, that the practice taken notice of by C^SAR and TACITUS, arva per annos mutant et fupere/l ager, ftill prevailed ; and, of courfe, that as yet exclufive and permanent property in land had not been generally introduced, and that a feparation of profefllons was unknown. Their fituation, therefore, created no call for an improved jurifprudence, or for much exertion of legiflative wifdom j and without this call, laws cannot be numerous, nor government complicated *. BUT * EVEN fo late as the period fince which the Swedifh lavrs have been preferved, there are traces of .the fame migratory ftate of fociety having prevailed. " Coluerunt difcreti " et diverfi," faysSaERKHOOK, " sedificiis tranfitoriis, et in annum aut menfem pofitis :" Wherefore, fbe EUROPEAN LEGISLATURES. 7 BUT it is not enough to be affured, that the arrangements of fociety among the conquerors were extremely {imple, or that an independence, natural to rude men, ftill prevailed, and was equally inconfiftent with defpotifm in chiefs, and with that fpi- rit of fubordination, and Tyflematic ftrufture of laws, on which civil liberty depends. We muft endeavour to learn rexacTly what the flrudhire of fociety among the Gothic nations was, while ftill remaining in their original feats ; and to afcertain the influ- ence which fettlement, in the cultivated provinces of the em- pire, where laws and government had been long eftablifhed, ne- ceflarily produced on the political fituation of the conquerors. A VERY flight view of the hiftory of Europe points out abundant materials for this extenfive enquiry. The nations of this continent appear to have followed almoft the fame route to civilization, advancing only with more or lefs celerity, in pro- portion as they were fituated in countries more or lefs fruitful, and more or lefs expofed to foreign intercourfe. At the com- mencements of hiftory, we find the rifing republics in the neigh- bourhood of the Mediterranean poflefled of inftitutions and traditions which indicate that they had recently emerged from that fituation in which the more inland nations on the north of them ftill remained. After a few centuries had elapfed, Gaul and South Britain are found, at the invafion of C^SAR, a tranfcript of Greece and Italy and Spain, when baniming their kings and eftablifhing republics. Germany, more inland, re- tained ftill her rude form, her extenfive confederacies, and dif- pofition to emigration ; while Finland, Caledonia, and Scandi- navia, were little different from a North American wildernefs. Thefe countries, however, became formidable before the fall of the weftern empire ; and Scandinavian tribes crofTed the Baltic, and • Wherefore he adds, the leges vetujliffimx directed the farmer to have a houfe fj>r himfelf, and trinas for the flaves, cattle and corn, he might carry about with him in his journey- ings, to be put up when he fojourned in one place, " perinde ut fepes excepta tantum " ea quae villam includeret," p. 295. 8 On the ORIGIN and STRUCTURE of and repeopled the countries which the conquerors of the Ro- mans had abandoned. Germany then proceeded as fouthern Europe had done before her. She became fit to coalefce with Gaul under the government of the Franks ; and petty dates, rifing on the coads of the Baltic and German ocean, addicted to navi- gation and military adventure, redored in the north fomewhat of the early ages of Greece and Italy. IN the mean time, the feudal law, characlerifed by its do- medic fubordination, its tenures, its hereditary offices, and its titled nobility, and deftined to create very lading and very fin- gular impremons on the European governments and manners, began to appear in the empire of the Franks. The wealth of Gaul naturally made the inconveniences arifing from the imper- fection of the German laws, be felt there with extreme feverity. Men accordingly had there recourfe to the expedient which they have univerfally reforted to for protection, wherever the progrefs of property has outdripped that of law. When law is in its infancy, and wealth has accumulated, though the political union is loofe, and the authority of the magidrate feeble, the domedic authority of the heads of families is drong, and the union among their branches firm and intimate. The love of power, therefore, induces the opulent to extend their houfeholds,by employing their furplus wealth in engaging retainers ; and the defire of fafety prompts the lefs opulent to court admifilon into thefe little focieties, and to promife fupport in return for protection. Hence the per- fonal relation of patron and client was edabliflied j and the great importance of this relation, in turbxilent times, naturally led men to have recourfe to the Roman arts of conveyancing, (which were dill preferved among the natives) for afcertaining its ob- ligations, and rendering it permanent and adequate to the pro- tection of their property. In this way, lands, already ufed as the means of purchafing retainers, came alfo to be impledged in condituting this relation ; which, of courfe, from being per- fonalj temporary, and dependent on mutual inclination, gra^ dually fbe EUROPEAN LEGISLATURES. 9 dually became indifibluble, hereditary and real. The family of MARTEL endeavoured to avail itfelf of the feudal combina- tions, in order to ftrengthen its own authority, and to intro- duce fome firmnefs into the fubordination of the citizens. By thefe means, they grew into the conftitution of the ftate, and were enabled, during the convuHions which tore it in the fall of that houfe, to reduce every political inflitution in the French empire, under the forms of their arrangements. SPAIN, when advancing by fimilar fteps to Gaul, was over- whelmed by the Saracens, in the beginning of the eighth cen- tury. But as Catalonia foon after fell under the dominion of CHARLEMAGNE, the feudal tenures naturally found their way into that province, and were afterwards difrufed through the reft of Spain, which was reconquered piece- meal, and chiefly by combinations of adventurers, who had to defend a's well as con- quer their acquifitions ; and who muft have found, that the feu- dal tenures were inftitutions extremely well fuited to their fituation. The Anglo-faxons, already accuftomed to the per- fonal relation of vaflalage, and, through their connexions with the continent, beginning to employ the feudal tenures, received them, at the eftablifhment of the Normans, as the laws of their conqueror. The other European nations were, however, in diffe- rent circumftances. As they were pofleffed of little wealth, their combinations for its protection were lefs general and lefs confoli- dated ; and as they had efcaped conquefts by nations where the feus obtained, they adopted them only by flow degrees, and in a very partial manner. Among nations, as among individuals, the practices of the more fkilfol are imitated by thofe who are lefs accompliflied and informed. Hence the northern kingdoms im- ported the feudal laws, becaufe they were the laws of their more cultivated neighbours ; becaufe they were better calculated than their own loofe cuftoms, to afcertain their rights ; and becaufe it flattered the vanity of their grandees, to bear titles fimilar to thofe of the dignified nobility of France and the German em- b pire. io On the ORIGIN and STRUCTURE of pire. NAs in thofe nations, however, the feudal law was a plant of foreign growth, it was feldom able to acquire the vigour it poflefled in its native foil. The reftraints and forfeitures, which the Lombard lawyers had ingrafted on it, were frequently rejected ; its titles of honour very often remained empty names, without political confequence ; and, as it was in this manner employed merely for mow, or for the afcertaining of private rights, much of the ancient conftitution of the government was preferved unimpaired. IF thefe obfervations are in any meafure juft, the hiftory of the conftitution of the different European nations may be much elucidated by inftitutions afcertained to have exifted in their fifter countries, during the correfponding periods of their pro- grefs. The rife of the conftitutions of the Greek and Italian ftates will derive light from what is known of the Gaulic, Ger- man and Scandinavian tribes. The Norwegians, Angles, Saxons, Jutes and Danes, of the feventh, eighth and ninth centuries, will be found to referable the Germans of GZESAR and TACITUS. The conftitutions of the Anglo-faxons, of the Franks before the feus, of the Vifigoths in Spain, and of the Norwegians in Ice- land, ought to be extremely fimilar. And the more modern go- vernments of Denmark, Sweden, Poland and Hungary, may be expected to retain more of the ancient Saxon and Scottifh confti- tutions, than can be expected in the prefent Britifh government, new modelled by the feudal law, and fubjected, for ages, to the gradual bxit powerful influence of legiflative wifdom and nation- al cultivation. HAVING recourfe, as occasion requires, to the ample field of evidence pointed out by thefe obfervations, I fhall endeavour to afcertain the form of government of the Gothic nations in their original feats ; I fhall examine the alterations it underwent upon their fettlement in the Roman provinces ; and I fhall attempt to trace its progrefs and revolutions under the predominancy of the feudal fyftem *. PART * THIS laft part is not publiihed in the prefent volume, The EUROPEAN LEGISLATURES. n P A R T "I. SECTION I. Of the Government of the German Nations while in their original Territories. THE German nations, when defcribed by CJESAR and TA- CITUS, exhibited the fame difpofition for emigration and conqueft, which afterwards, in the times of ALARIC and CLOVIS, gained them poflemon of the Roman provinces. We may, therefore, look into the ftrufture of fociety, which thefe great authors defcribe, for the caufes of this reftlefs fpirit j and we may likewife infer, from the permanency of a temper fo cha- radleriftic of national manners, that, during this long interval, the political circumftances of the Germans had continued near- ly unchanged. Having, therefore, recourfe to the lively picture which CJESAR and TACITUS have left us, a little attention to the general circumftances of the Germanic nations will enable us to perceive in it, with fufficient precifion, the forms of their conftitution, and the nature of their government. THE Germans lived in a country interfered with woods, rivers and mountains. However much, therefore, they were in- clined to indulge in the indolence of the paftoral life, their coun- try did not permit them to refide, like Tartars, in moveable ha- bitations. Hence they fojourned in annual huts, and cultivated a little fpot of ground for a crop, in aid of the produce of their cattle. Hence, too, they found it every where neceflary to have ftrong holds, to which they carried their property in time of danger. Thefe holds or pagi, as the Greeks and Romans called them, were the natural refort of the tribes in their neighbour- hood, and feem to have been every where the firft embryos of the towns and little ftates with which ancient Europe fo much abounded. The pagus was ufually fituate on an eminence, on b 2 an 12 On the ORIGIN and STRUCTURE of an ifland in a river, or in the recefTes of a wood ; and it was for- tified by palifadoes and mounds of earth. THE point of union, which was thus formed among a few tribes, neceffarily produced aflemblies of the whole warriors belonging to them, and the election of one of their chiefs to be their king or common leader. He held his office for life ; be- caufe it was men almoft independent that gave it him, who ne- ver doubted but that they could deprive him of it at pleafure, and who continued him in it, becaufe they had no motive to change him for another *. It was likewife ufually conferred at his death on a perfon of his family. No diftindion could be lefs invidious, or therefore would more readily fix the fuflfrages in favour of a candidate, than his relationship to a deceafed chief. Thus it is faid, Reges ex nobilitate fumunt. The chiefs of the tribes that reforted to the pagus were the natural counfellors of the king, as their -influence was the principal means of en- gaging the warriors in any common meafure. Thefe chiefs were, no doubt, like the kings, ufually elected out of particular families. TACITUS thus mentions the election of the chiefs of the fubordinate tribes : " Eliguntur in iifdem conciliis principes "• qui jxira per pagos vicofque reddunt. Centeni fingulis ex plebe " comites, concilium fimul et auctoritas adfunt." De Mor. Germ, c. 12. BUT though each pagus acknowledged, in general, no fuperior, yet the circumilances of fociety induced numbers of them to con- federate ; and, when wars happened, a common leader of the con- federacy was chofen of courfe. Men who live on the produce of herds * Dr STUART, and fome other authors, have laid it down as certain, that thefe chiefs held their offices only for a year. I cannot, however, difcover any good authority for this opinion, though favoured by MONTESQUIEU, contrary to the fpirit of his fyftem. It is oppofed by the univerfal practice of rude nations. The appellation of kings, applied univerfally to the chiefs of rude tribes, is inconfiftent with it. And as the kings of modern Europe were always underftood to hold their offices for life j and as, in general, the great provincial magiftrates, in the ages after the conqueft of the empire, did fo likewife, un- lefs deprived, there feems every reafon to beKeve, that the office of a German chief was equally permanent. The EUROPEAN LEGISLATURES. 13 herds can fubfift together in great bodies ', and the leifure they en- joy, and the whole habits of their lives, prompt them to engage in military enterprifes. In this way, leagues for offence, and, of courfe, for defence likewife, are univerfally formed ; and the confederates, in order to carry on their common undertakings, naturally choofe a leader, whofe powers endure as long as there is ufe for them. Thus, fays CAESAR, " Quum bellum civitas " aut illatum defendit aut infert, magiftratus qui ei bello prac- " fint, ut vitse necifque habeant poteflatem deliguntur. In pace " nullus eft communis magiftratus, fed principes regionum, at- " que pagorum, inter fuos jus dicunt, controverfiafq; minuunt-" STRABO obferves the fame of the Lucanian ftates, a part of the ancient confederacy of the Samnites : To» piv m> «AAOI» xgntt " ( VIZ. «f w>» ) ifynoxf onwlo- (v ft roif iroXj/xoi? r'fiijo (3«irjA{Uf, uVo run " M/*»^WW» «?xaf-" Lib. 6. 254. THESE leagues, of a number of cantons or pagi, feem to have been attended, in perhaps every nation under heaven, with one very important inftitution, viz. a diftribution of the confede- rates into regular numbers. A great body of men, who carry on war for a considerable length of time, muft foon perceive the advantage, and even neceflity of order and arrangement ; and the moft fimple of all arrangements, is the regulating by numbers the contingents that each pagus mould furnifh. As foon again as this meafure is adopted^ each pagus is under the neceflity of taking a fimilar method for raiiing and managing its contingent. Each tribe belonging to a pagus will, of courfe, be called on. to furnifh a certain number, and each great family in the tribe a portion of this number. By this means, every canton, and the parts of a canton, come naturally to be characterifed by their refpeclive contingents, and the whole country itfelf feems to be arranged into a feries of divifions for military purpofes. " Definitur et numerus : fays TACITUS, centeni ex fingulis pagis " funt : idque ipfum inter fuos vocantur, et quod primo nume- " rus jam nomen et honor eft." De Mor. Germ. cap. 6. We find 14 On the ORIGIN and STRUCTURE of find this fpecies of arrangement, not only in all countries where the Germans eftablifhed themfelves, but among the Ifraelites, as appears from the Mofaic inftitutions ; among the Tartar na- tions, as far back as their hiftory reaches ; among the ancient Hates of Greece * and Italy ; and the Roman legion itfelf feems to have derived from the fame fource its original form f. IT is natural to fuppofe, that, when a confederacy of neigh- bouring pagi had long fubfifted, a feeling of fomewhat of na- tional union will be apt to arife. The common leader, occa- fionally chofen for a war, will be fo often elected, as at laft to retain his powers for life. He will therefore become a king, like the chief of apagus, and will be a princeps regionis, with fe- veral principes pagorum, in fuch a fubordination to him as the chiefs of vici, or of primary tribes, were originally to the chiefs of pagi. Thefe combined pagi again may become the allies of a great and lefs confolidated confederacy. Thus TA- CITUS defcribes particularly the great confederacy of the Suevi; and he enumerates above thirty of the nations belonging to it. C.ESAR fays $, That each pagus or nation belonging to this confe- deracy fent forth i ooo men to war every fummer j by which means, as it confifted of an hundred pagi, an allied army of 100,000 men was annually formed. But TACITUS again men- tions, that, in one fingle nation of the Suevi, viz. the Semnones, there were an hundred pagi. It appears, therefore, that the Semnones * HOMER (peaks of decurix as known ; IIoAAai Kit fraca^if Sivwetlt oivc^oio. II. lib. 11. V. 128. And he attributes to NESTOR, the inftitution of the Greeks fighting by tribes and curiae ; 'ftf ! tp^ntfrifif a-fiyy Qv\» 2i ipt/Xois' II. lib. ii. v. 362. •f IT is ^remarkable, that the nature, univerfality and antiquity of this inftitution fhould have efcaped Prefident MONTESQUIEU'S obfervation. He attributes it to the Merovingian .princes, CLOTAIS.E and CHILPERJC, and fays, it was introduced into both France and England, in order that each diftri£l ftiould anfwer for any robberies committed in it. Efprit des Loix, lib. 30. c. 17. Dr STDART has entertained more juft notions of it. Dif- fertation on the Englifli conftitution. Note, p. 231. J De Bello Gall. lib. 4. cap. i. the EUROPEAN LEGISLATURES. 15 Semnones were themfelves a national confederacy, at the fame time that they were only a lingle ally in the great league of the Suevi. WE have evidence, that this military arrangement coincided with the natural diftinclions of tribes and families. At the fame rime that TACITUS mentions the former, he obferves as to the latter, That " non cafus nee fortuita conglobatio turmam aut cu- " neum facit, fed familiae et propinquitates." And C-ass AR men- tions, that lands were occupied " gentibus cognationibufque *." SUCH being the general arrangement of the Germans, it is eafy to perceive the nature of thofe aflemblies, about which there has been fo much difcuflion. All writers agree in the gravity and decorum of the aflemblies of favages. The chief fits in council with the aged, the warriors forming a circle around them. The chief, or the feniors, begin the deliberation, but all take a decent part in it, and the whole refolve j " the con- " fent of the youth being as eflential as that of the old f." Again, after the warriors are fubjec~led to a degree of mili- tary order, we may reafonably conjecture, that it will be em- ployed in their political aflemblies. All rude nations love pa- rade ; and as, on fuch occafions, it contributes much to deco- rum, as well as difcipline, their aflembly muft tend to become a military review, at the fame time that it retains the character of a political and religious convention. It is true, the defcrip- tions of CESAR and TACITUS do not countenance this notion of * THWROCS, or rather perhaps an anonymous author of a chronicle, as old as 1358, when, mentioning the fettlement of the Hungarians in Panonia, under their feven leaders, may alfo be urged in fupport of this opinion. " Et unicuique exercitui, capitaneum fpecialem " prwficientes, centurionefque ac decanos, more folito conftituerunt. Et unufquifque " exercitus 30,857 continebat. Nam in fecundo eorundem de Scythia egreflu de cen- • " tumetofto tribubus ducenta et ledecim millia, deunaquaque,yt/!S. tribu, duo millia ar- " matorunv excepto familiae numero eduxifle perhibeatur." Scriptores rerum Hungari- carum, 410, v. i. p. 100. \ PEN'S letter to the Pennfylvanian traders. See alfo KOLBEN of the Hottentots, Hift. Gen. des voyages, t. 6. p. 500. AllbCoLDEn's hiftory of the fix nations, 4ffc, &c. 1 6 On the ORIGIN and STRUCTURE of of order and regularity in the German diets. At the fame time, as TACITUS relates, that they affembled in arms, it 0an fcarce be doubted, that, by degrees, the regularity of a mi- litary review would be introduced. It is, indeed, not eafy to conceive, how the vafl multitudes of armed men, mentioned as affembling on public affairs, could obferve any order, unlefs ar- ranged in regular divifions. We know like wife, that the Tartars affembled in their curiltay in this manner, each tribe arranged under its proper banner. We know, that the ancient Greek ecclefia * and the Roman comitia were alfo military mufters and reviews. We know, that the affemblies of the Weapontact in modern Europe were likewife employed for this purpofe. And we know, that the Franks, who attended the affemblies call- ed mallum^ placitum, and parliament , were obliged to appear in arms f, and thofe who had banners, to carry them along with them. The Irim, in the fame manner, wore arms in their na- tional and provincial conventions. And I {hall afterwards have occafion to obferve, .that the pofpolite in Poland, and the ancient diet of the German empire, affembled in a military form. We may reafonably then hold, that the ftrudlure of the different gradations of affemblies, among the ancient Germans, was ex- tremely uniform, and wore a military afpecl. In each affem- bly, its proper chief would prefide, accompanied with a council of the chiefs of thofe tribes which reforted to it ; and the war- riors * HOMER thus relates the aflembling of the Greeks in diet when befieging Troy : }JA«3c» «{ ayofr.r. II. lib. ii. V. 92. f THE affembly of the Franks in the campus martius of the cities of Gaul, defcribed by GREGORY of Tours, is manifeftly a military review. " Tranfado vero anno, juflit " (fciz. Clovis) omnem cum armorum apparatu advenire phalangem, oftenfuram incam- " po martio fuorum armorum nitorem ;" and he is mentioned as going through the ranks and examining their condition, lib. ii. c. 27. And when, under the fecond race, the Franks were called forth to aflemble in military array, their magiftrates were named ca- pitanei, and the .meeting a placitum. Capit. A. D. 807. This military appellation is common to all the great magiftrates in both the Gothic and Sclavonic nations. Vay vode, banuus, heretoge, are often tranflated capitanei, duces, uon. attach, cap. 66. There is a fimilar regulation in the eftablifhments of St LEWIS, from which, no doubt, the law of the Scottilh barons was borrowed. 20 On the ORIGIN and STRUCTURE of ftinclion between the judges of the facft and the law, which is to be found almoft univerfally in nations arifing from a rude ftate, all manifeftly flow from this common fource, and, of con- fequence, unite in eftablifhing it as a principle of importance in the hiftory of the public law of Europe. In all rude nations, the laws are few, fimple and precife j and it never occurs to their imagination, that any doubt can arife about the interpre- tation of them. When, therefore, their public aflemblies have, on the accufation of the injured, or of the chief,- convicted a perfon of a violation of the law, the pronouncing, as well as executing the fentence, is committed, as a matter of courfe, to the chief, though he was to profit by the conviclion. In pro- cefs of time, however, as law becomes complicated, there is room for doubt as to its interpretation, and the chief has re- courfe to the afliftance of afleflbrs or deputies for this purpofe. Hence it happens, that the king, in almoft all countries, is na- turally the fource, both of the jtidicial procedure by which courts of juftice exercife their power, and of that magiftracy which interprets the law, while the nation*, as naturally try, or delegate thofe who try, how far individuals have, in fact, com- mitted the wrongs of which they are accufed. We have exam- ples in the kings and afchons of Athens, in the kings, confuls and pretors of Rome, as well as in the Gothic magiftracy, of the former powers, and of the latter, in the trials by the fuflrages of the Greek and Roman tribes, of the county courts and na- tional aflemblies in modern Europe; and in thofe by the ^«IT»IT«I or arbiters, delegated from the tribes in Greece, the judices pe- danei, delegated from the Roman tribes, the fcabini from the Gothic and French tribes, the nembda from the Swedifh, he- red fougd from the Danifh, the judices nobilium from the Hungarian, and the lawmen, and their fucceflbrs the juries, from the Anglo^faxon and Norman aflemblies f. THE * Enlightened, but, I apprehend, by no means bound by this interpretation. \ THIS origin of juries has been controverted by very learned writers j but, I think, it is capable of being eftablilhed. And the only plaufible arguments againft it feem to me The EUROPEAN LEGISLAfUR ES. 2 r THE constitutional authority of the German chiefs was pro- bably not more extenfive in political than in judicial affairs. It appears from C^SAR, that they had the prerogative of regulating the annual eflablifhments of the tribes *. This, however, it is likely, was no more than one of thofe res mino- res, about which, TACITUS fays, the chiefs alone confulted : " Facilitatem partiendi camporum fpatia preftant, arva per an- " nos mutant et fupereft ager." In fuch a country, it was no greater prerogative in a king to diflribute the lands, than to choofe a camp for an army is in a general. It was, betides, a thing of that nature which a national diet could not well ar- range ; and, therefore, like the journeyings of a Tartar horde, was naturally left to the difcretion of the chief, who would, however, confult, of courfe, with the fubordinate chiefs on the bufinefs. The neceffity of obferving an order in the pofition of the tribe is likewife proved by the old laws of Sweden, which directed, with anxiety, the arrangement (litus and ordo) of the cottages of villagers ; and that they mould be furrounded with a pallifado, in order, no doubt, that the inhabitants might make their defence with greater facility and effect, in cafe of an attack. Sbernhook, 295. IN military affairs, the power of the chiefs would be moft confpicuous. Although the choice of peace or war lay with the people, the conducting of military operations was neceffarily committed to die chiefs. " De majoribus rebus omnes con- ' fultant, ita tamen ut ea quoque, quorum penes plebem arbi- 1 trium eft, apud principes pertractentur," Mor. Germ. c.\\. A confiderable me to have arifen from not making fufficient allowance for thofe varieties which ought to be expedled among inilitutions of the fame kind in different countries, elpecially when the companion is made at different ftagcs of their progrefs. * " NEQJJE quifquam agri modum certum aut fines proprios habet; fed magiflratus ac " princeps in annos fingulos gentibus cognationibufque hominum qui una coierunt quan- " turn eis et quo loco vifum eft attribuunt agri, atque anno poll alio tranfire cogunt." Bell. Gall. c. 21. " Agri pro numero cultorum, ab univerfis per vicos occupantur, " quos mox inter fe fecundum dignationem partiuntur." Mor. Germ. 26. 22 On the ORIGIN and STRUCTURE oj confiderable degree of coercion muft be exercifed by a leader, in a warlike expedition that continues for any length of time, and the natural privilege of diftributing the booty, and the mere fplendor of precedence, muft augment greatly his influence. THESE remarks, I flatter myfelf, will fufEciently point out my idea of the general ftruc"lure of the German governments. Men, ftill cherifhing the independence of the favage flate, were forced to take meafures for the defence of their riling property. That property occafioned wars, and wars introduced confederacies, military arrangements, and fome degree of fubordination. This fubordination, however, did not deprive the minute tribes, of which the confederacies ultimately confided, of their internal powers. A petty chief, with his tribe, formed by intermarriages into a clan, which claimed a common blood, were like the an- cient pf«Tf •«• of Attica, or tribules of Italy ; fo many communi- ties, poflefled of judicative, legiflative and executive powers, within themfelves, fimilar to thofe exercifed by the national confederacy. In this way, the form of fociety was nearly inde- flruclible ; and even thofe revolutions which wars occafion would probably contribute to preferve it. When a nation proved unfortunate, its parts coalefced under a different name, and the country was, as formidable and warlike as before. Thus we find, in TACITUS, the names of nations which afterwards diftin- guiihed the conquerors of the empire. But, in his time, they, in general, were the names of only remote and inconfiderable flates, which arofe not to confequence till the confederacies, that were then predominant, had given way in the courfe of contend- ing with the Roman arms. And again it feems reafonable to con- jeclure, that this warfare was the principal caufe of preferving in vigour, during fo many centuries, the fpirit of emigration and conquefl in Germany. By difcouraging agricxilture, it retained the Germans in the paftoral life, and, of confequence, cherilhed in them the inclination, as well as fupplied the means for great enterprifes. Hence thofe extenfive confederacies, fo effential We EUROPEAN LEGISLATURES. 23 eflential to-fuch enterprises, and efpecially to wars carried on by barbarous tribes againfl the Roman legions, remained in full energy ; and that progrefs in the arts of induftry was prevent- ed, which otherwife, in the courfe of a few centuries, would naturally have transformed every pagus into a little republic, and its ardent and aclive affociations with its neighbours, into the cold alliances of agricultural ftates. THE foregoing idea of the general form of the government of the Germans is ftrongly confirmed by what we know of the ancient conftitution of Sweden and Iceland. Iceland was peopled by a feries of Norwegian colonies, who fled their coun- try, on the conqueft of it by HAROLD with the beautiful hair, in A. D. 878. The colonies formed little communities with elective chiefs. Thefe, by degrees, combined together, and held tuTemblies, under a common leader, in each of the four great provinces into which the ridges of mount Hecla divide the ifland : And, at laft, thefe four provinces likewiie confederated* and formed a republic, under one chief magiftrate, in A. D. 928. The whole country was arranged into regular divisions, cal- led provinces, hundreds, and reeps. The magiflrates held their offices for life. At the diets, whether of the diftricts or of the nation, the magiftrate celebrated religious rites ; and it is, in particular, mentioned, that the lagman, or chief of the nation, performed human Sacrifices at the alting, or great annual afTem- bly. In it too, befides the arrangement of political matters, ap- peals were received from the provincial courts, and rejudged in its prefence, and under its infpeclion, by the former judges ; and the lagman' s bufinefs was to carry into execution what the alting ordered. The judges of each diftridt were called repftio- rar ', and chofen, by the diet, among the wealthieft and moft refpeclable of its members *. There was a fucceflion of thirty- eight lagmans, which continued till 1262, when the republic was * THESE probably correfponded to the fcabini and red boran, or lawmen of the Franks and Saxons,. 24 On the ORIGIN and STRUCTURE of •was deflroyed by the Danes. I have taken this account from the Icelandic hiftorian ARNGRIMUS JONAS, a native of the ifland, and a perfon who appears to have had abundance of au- thentic materials for his work. THE Swedifh government feems to have arifen in the fame manner as that of Iceland, without the intervention of foreign con- queft, or any very violent domeftic revolution. The moil ancient written law in Sweden is thought to be about as old as the pe- riod of CHARLEMAGNE. Each province had its own peculiar laws, which were collected fucceffively into different codes, and, though not entirely the fame, refembled each other extremely. SHERNHOOK fays, that the original courts of juflice were the pro- vincial afTemblies or lagmanfting, but that, in procefs of time, the provinces were divided into hajredas or trientes, and thefe again into fierdings or quadrantes. He fays, the haeredas de- rived their name from yielding a certain number of military forces. In the province of Upland, they were termed hundreds, and the chiefs hundreders ', for each diftrict, whether haereda or fierding, had chiefs *. The chief of the province was called lagman, which he tranflates legumvir, and was fupreme magi- flrate, in both civil and religious affairs, as long as the provin- ces remained independent. The lagmanfting judged appeals, and punifhed the chiefs and judges of haeredas and fierdings, who judged corruptly, or refufed juflice j and groundlefs appel- lants were likewife punimed. After the provinces confederated, a common chief, or king, arofe, and a national diet, called the landfting, was annually held. The lagmans and the digni- fied clergy, after the nation became Chriftian, formed the fe- nate in this affembly. The people at firft chofe the lagmans. After the rife of a king, it appears from the ancient laws, that he had a right to feled; the lagmans out of leets, prefented to him by the people of the refpeclive diftricls. In fome provinces, however, the lagman had rendered his office hereditary, had af- fumed * THIS is precifely the arrangement of Denmark. r» • The EUROPEAN LEGISLATURES. 25 fumed the title of duke, and had ufually named a deputy, who had the title of lagman. But GUSTAVUS ERICSON deprived both the people and the dukes of their privileges in this parti- cular ; and, of confequence, the lagmans ceafed to form the fe- nate of the national diet. " Ut enim ex judicibvis his, (fo " SHERNHOOK terms the lagman), olim fenatores, ita hodie ex ' fenatoribus his, judices provinciales conftitmintur." I SHALL not detain the Society with pointing out the perfect coincidence between the general ftruc~lure of the ancient Swedifh and Icelandic conftitution, and that which I have attributed to the Aborigines in Germany ; nor, after what is ftated in die introduction to this paper, do I think it neceffary to make any remarks to mow, that I am entitled to avail myfelf of the re- femblance in fupport of my opinion *. INDEPENDENTLY, however, of the general form of the Ger- man governments, there were fome circumflances in the nation- al manners, which, though not immediately entering into the ftrudlure of the conftitution, demand particular attention, be- caufe they contained fources of future revolutions. In the ftate of favages, or when men fubfift on fpontaneous produce, the political union hardly exercifes any control over individuals. Nothing is more common than for a fingle perfon to pro- pofe to his tribe to make war; and, though the tribe re- jedl the meafure, to perfift and go to war, either by himfelf, or with the afliftance of a few that relifh his propofal. After- wards, when farms and herds are known, men ftill retain the right of avenging their own wrongs j and their new poffeffions are a fort of dominions, which they rule with a fpecies of that d independent * WHAT we know of the rude governments of the Welfh, Irifh, Danes, and Caledo- nians, correfponds with the idea of that of the Germans, given in the text. Every where the clans chpfe their chiefs from particular races, and confederated clans chofe their regu/iandfubreguliin the fame manner. L. L. WALLI/E, 164. and 184. Traftat. varii de Reg. Dan. WARE'S antiquities of Ireland. LESLIE, BUCHANAN, fajim. The tanift was chofen in the lifetime of the chief, and fucceeded him at his death. Even at this day the Scots clans conceive they are entitled to change their chief, if he aft dif- gracefully. 26 On the ORIGIN and STRUCTURE of independent fovereignty, with which, in the favag.e (late, they governed their own conduct. The jus vitas et necie, compe- tent to the Germans over wives, children and flaves, is mention- ed by TACITUS. And we find, after the conqueft of the Ro- man provinces, the rights of making war and levying troops every where recognifed, as one of the powers of the private proprietor. It has been thought, that this right of waging war was a privilege ufurped by the feudal nobles ; but a further en- quiry has fully proved, that it was an inheritance tranfmitted down to them from the origin of the nation. And, in facl, it was not an inheritance which had been preferved by them entire ; for, either from apprehenfion of the end of the world approaching, or other caufes of more fteady operation, they had gradually fubmitted it to various reftri6lions } and, in particular, that they fhould only ufe it in revenge for perfonal injuries, and not on account of property or intereft*. I have marked below, abun- dant evidence of this right of making war f j but I cannot forbear mentioning, in particular, that ARM GRIM us JONAS tells us of ,a ftranger that acquired vaft eftates to himfelf in Iceland, during the fubfiftence of the Icelandic republic, by a fort of right of conqueft, refulting from his victories in wars with individuals J. IN a ft ate of fociety where men retained fuch a degree of in- dependence, it is manifeft, that, in proportion as property be- came * BEAUMANOIR coutume de Clermont, cap. 59. | Ordenamiento de Alcala, tit. 29. HURBERTS Statuta Poloniae, voce Guerra, p. 190. L L. Alfred. § 28. L L. Jnae, \ 9. L L. Edin. \ i. BOUQUET Droit public, p. 312. and 447. L L S. Steph. r. Reg. Httngar. cap. 33. Codes of the Barbarians, paffim. where family wars are fuppofed. L L. Robert! i. c. 20. Eftablifhments de St Louis, et Ordinances des Rois de France, paffim. But, efpecially, BEAUMANOIR, loc. cit. where he enters into a full detail about it. t In- COOK'S laft voyage, the following cuftom among the iflanders of the Pacific eicean is mentioned : " If a perfon kill another in a quarrel, the friends of the deceafed " aflemble and engage the furvivor and his adherents. If they conquer, they take pof-. " feflion of the houfe, lands and goods of the other party j but, if conquered, the reverfe " takes place,." Vol. ii. />. 173. Tie EUROPEAN LEGISLATURES. 27 came confiderable, it would be employed as means to gain power and protection. It is remarked by travellers, that all lavage nations are hofpitable, fond of interchanging prefents, and of public feafting ; but, among them, fuch indulgences are practifed merely on account of the pleafure they afford, whereas the introduction of wealth in the fources of fubfiftence produces a variety of interefts formerly unknown, and hofpi- tality is practifed, and prefents beftowed, as the means of procuring fecurity, diftinction, or power. Hence among the Germans, every wealthy perfon had his retainers that fre- quented his table, and received from him protection, and va- rious favours, in return for their aid, and for the prefents they gave him. The chiefs, in particular, whofe hofpitality was fupported by prefents from the whole members of their tribes, naturally ftrove to diflinguim themfelves by their follow- ers, and to attract around them the enterprifing youths of the firfl families in the ftate. TACITUS * makes particular men- tion of this inftitution, and terms the retainers comites, pro- bably a literal tranflation of the German leuch or leude. Au- thors have very frequently confounded thefe with the principes vicorum et pagorum which, in the preceding chapter, he di- flinguiihes by the fame name of comites ; and where perhaps they have not confounded them, they have never, as far as I recollect, pointed out clearly the diflinction between them. No two orders of men, however, could be more different ; and the defcription of both is fo accurate, that there feems to be no room for miftake. The chiefs of diftricts were elders, were civil ma- giflrates, were military leaders, the heads of the nation, and the natural counfellors both of prince and people j~ , refpectable by their experience, gravity and authority. But the retainers of the king were young men, his guards, his own perfonal par- tizans, fupported by his munificence, courters of his favour, expectants of promotion from it, and fworn to maintain his d 2 glory, * Cap. 13. -J- KOLBEN of the Hottentots. 28 On the ORIGIN and STRUCTURE of glory, and defend his perfon, at the expence even of their life *. After mentioning, that the young men were folemnly intro- duced into the diets, and there armed, TACITUS obferves in fubftance f , that it was no mame to be numbered among the retainers of a great man. Diflinc"Uon and power confifted in be- ing always furrovtnded with a circle of chofen youths. They were an ornament in peace, and in war a fafeguard. It was a matter of great emulation among the chiefs, which fliould have the braveft and mofl numerous retainers. The fame, merely of a fuperiority in this refpec"l, was often decifive of a war. It was alfo a matter of emulation among the retainers, which mould be firfl in favour with his chief ; for there were diffe- rent ranks among them according to that favour J. Their fer- \ice was proportionably zealous. To have furvived their chief in battle was an indelible difgrace. Their mofl facred obliga- tion * I WILL not, however, prefume to determine, that, even fo early as TACITUS, the principes vicorum may not, in general, have been retainers of the kings. It would, no doubt, be a natural object of policy for the kings to extend their influence, by efta- blifhiug a domeftic relation between them and the fons of the chiefs of tribes ; and thefe, when promoted to be chiefs, might, though abfent, preferve their claim to this relation, while younger men, or perfon s of lefs confequence, would attend in the royal houfehold. •J- NEC rubor inter comites afpici. Gradus quinetiam et ipfe cotnitatus habet, judicio ejus, quern feclantur : Magnaque et comitum emulatio, quibus primus apud principem fuum locus ; et principum, cui plurimi et acerrimi somites. Haec dignitas, hoe vires, magno femper ele&orum juvenum globo circumdari, in pace decus, in bello prsefidium. Nee folum in fua gente cuique, fed apud finitimas quoque civitates id nomen, ea gloria eft, fi numero ac virtute comitatus elnineat : Expetuntur enim legationibus, et muneri- bus ornantur, et ipfa plerumque fama bella profligant. Cum ventum in aciem, turpe principi virtute vinci ; turpe comitatui, virtutem principis non adsequare. Jam vero in- fame in omnem vitam ac probrofum, fuperftitem principi fuo ex acie receffiiTe. Ilium de- fendere, tueri, fua quoque fortia fafta gloria ejus adfignare, prsecipuum facramentum eft. Magnumque comitatum non nifi vi belloque tuere : Exigunt enim principis fui liberali- tate ilium bellatorem equum illam cruentam viclricemque frameam. Nam epulae, et quamquam incompti, largi tamen apparatus pro flipendio cedunt. Materia munificentiae per bella et raptus. Nee arare terrain, aut expe&are annum, tam facile perfuaferis, quam vocare hoftes et vulnera mereri : Pigrum quinimmo et iners videtur fudore adqui- rere, quod poflis fanguine parare. De Mor. Germ. c. 13. 14. J Somewhat probably like thofe of DAVID'S mighty men. The EUROPEAN LEGISLATURES. 29 tion was to defend him, and to promote his glory. War was, however, effential to retain them. The battle-horfe, the viclo- rious fpear, were prefents that they expected, and a plentiful and open board was the wages of their fervice. But it was to war alone that recourfe could be had for the means of this munifi- cence ; for war, and not labour, fuited the national temper, and furnifhed a neceflary occupation to a numerous youth, averfe to induftry, and fond of adventure. SUCH a body poffefled the fame refemblance to the chiefs of pagi, that the celeres and jW«{ of the Roman and Lacedemonian kings bore to the fenators of Rome and Sparta. DIONY- sius, after defcribing the celeres, gives the following account of the . 278. By L L. Vifig. lib. 6. tit. i. robiles potentiorefque perfonae, ut primates palatii, eorumque filii, were not to be ex- pofed to torment, on account of an accufation of theft, <£rr. ; and a perfona inferior was forbid to accufe nobiliorem fe ve! potentiorcm. It II. ^DISSERTATION to prove that TROY was not taken by /&? GREEKS. By JOHN MACLAURIN, Efq; Advocate, and F. R. S. EDIN. \Read by the Author, Feb. 16. 1784.] Non anni domuere decem, non mills carinee. VIR.G. T T cannot well be difputed, that, till the Greeks were poflef- -•- fed of the art of writing, they could have nothing that de- ferved the name of hiftory. When that art was introduced among them is uncertain ; but there is reafon to believe, it was not known to them at the time of the Trojan war, as there is no mention of any writing in all the works of HOMER; for the tablets, of which he fpeaks in one paffage, did not contain any writing, but only marks or figns *. At any rate, it cannot be fuppofed, that writing was much known or practifed, at that time, or indeed for long after. It appears from many charters, and other deeds, in this country, that men of the firft families and fortunes in it could not, a few centuries ago, write their f 2 names j * Iliad, vi. 168. So ECSTATHIUS fays exprefsly ; and the reafon he afligns, is, that let- ters were the invention of later times. He might have added, that it appears from feveral other paflages in HOMER, that with him yjaip«» does not fignify to write, but to trace or mark ; nor on,had Madam DACIER and Mr POPE adverted to this, they would not have tranflated this paflage as they have done. Hopi 2e «' r>yxa1* Auyga, clearly means, that he gave him a token or credential that was meant to be deftruftive to him ; and yp«i]/a« S^fttf^fm cr»AXa, that he traced in thefe folded tables many marks or figns, that gave to underftand he was defirous of his death. There is, likewife, no mention of writing in the ^Eneidj which mews, that VIRGIL thought it the invention of later time*. 44 ROT not taken names ; yet it is clear, from our having the ufe of coined mo- ney in commerce, and of cavalry in war, as well as from feveral other circumftances, that we were more civilized in thofe days than the Greeks could pretend to be when they firft invaded Afia. THOSE, therefore, of the Greek writers who chofe to relate ancient events might fhape their ftories as they pleafed. There could be nothing to contradict them, but a vague and confufed tradition, (if there was fo much) which, it is plain, would, at no time, be much regarded, and would foon be forgot or dif- believed, if the accounts of thefe writers were more flattering or favourable to their countrymen. Indeed) the Greeks feem all along to have had a natural inclination to pervert and falfify facts, and this drew upon them the fever eft reproaches from the lovers of truth. id Gracia mendax .Audet in hijloria. IT may, perhaps, be faid, that this is no more than the af- fertion of a Roman fatirift, which ought not to be liflened to. But it is eafy to fupport JUVENAL'S teftimony by that of fome of the moft judicious Greek writers themfelves. DIODORUS SICULUS informs us, that the ancient hiftorians contradicted one another fo much, that thofe of later times, who felt they had talents for writing hiftory, abandoned all remote, and be- took themfelves to recent periods ; and THUCYDIDES {hews, that not only with regard to ancient, but even as to recent events, the Greeks, his contemporaries, were very ill informed. In his introduction, he exprefies himfelf as follows : ' It is " very difficult to find out the truth as to ancient affairs ; for " men content themfelves with reports as to paft events, with- " out being at the trouble to examine them, even though they ** relate to their own country." And he refers for proof, to the celebrated By the GREEKS. 45 celebrated ftory of HARMODIUS and ARISTOGITON. Of this he gives the detail in his fixth book ; " Becaufe neither^ the " Athenians, or others, knew who was the tyrant at the time, " or what was the real fac"l that happened." Poems had been compofed, and flames erected, in honour of thofe men, as be- ing the champions of liberty, and the deliverers of their coun- try, by a bold ftroke, in putting its tyrant to death ; bxit it ap- pears, from the narrative of THUG YD IDES, that all this was un- deferved, and proceeded from a grofs miftake ; for they did not kill HIPPIAS, who was the tyrant, but his brother HIPPAR- CHUS ; and him, not from a love of their country, or hatred of tyranny, but from very unworthy motives, which it would be indelicate to explain *. IF the Athenians, the moft enlightened people of Greece, could be fo milled as to an event which happened but eighty- two years before the Peloponnefian war, what liberties might not HOMER take, in relating the circumftances of an expedition which preceded, by many centuries, the age in which he lived, and as to which, in all probability, there was no record or writing whatever ? IT is, indeed, fuppofed by the author of the life of HOMER, commonly afcribed to HERODOTUS, that he was only 168 years later than the Trojan war ; but, from what THUCYDIDES fays, it mould feem that he thought he was long pofterior f to it ; and that, in fad:, he was fo, is apparent from feveral paflages in his works. In one place, he fays, that DIOMEDE lifted, bran- diflied, and threw a flone, which two men," fuch as men are now-a-days, would not be able to carry j and, in another, that HECTOR lifted, brandifhed, and threw a flone, which two men, fuch as men are now-a-days, would not be able to heave from the ground into a cart j but fo great a degeneracy could not have * IT took its rife from a-«»?ij«n*. THUCYDIDES fays AMSTOQITON ti%s> 46 TR 0 T not taken have happened in a century and a half. Befides, that he wrote from report^ and knew nothing certain, he himfelf declares, in his addrefs to the Mufes, with which he introduces the catalogue of the Grecian {hips and forces ; which implies, that he was not only very long pofterior to the event he chofe for his fubjecl, but that there was no record or hiftory of it extant when he wrote. MANY proofs might be brought of HOMER'S (lory being ge- nerally difbelieved or doubted of among the ancients. A few {hall be mentioned : And, firft, I refer to the hiftory of HELEN'S birth. LJEDA, the wife of TYNDARUS, was delivered (it is faid) of two eggs, in one of which were POLLUX and HELEN, in the other CASTOR and CLYTEMNESTRA. The former being .the offspring of JUPITER, metamorphofed into a fwan, were im- mortal j the latter, coining from TYNDARUS, fubjecl to diffo- lution. And, it is added, that, when CASTOR drew near his end, his brother begged of the gods that he might be exempted from death as well as himfelf. This, it feems, could not be al- together complied with ; but, to gratify him as far as fate would permit, it was decreed that they mould live and die by turns. This is evidently an allegory, and generally thought to be an aftronomical one. Now, if HELEN was not a real, but an al- legorical perfonage, what becomes of the Trojan war ? THE flory of the egg is not to be found in HOMER ; but the alternate life and death of CASTOR and POLLUX is mentioned in the Odyffey *, though not confiftent with a paffage in the Iliad, to be afterwards quoted, which declares them both dead. Madame DACIER, in a note on this paffage of the Iliad, fays, that the fable of CASTOR and POLLUX was pofterior to HOMER; but the paffage of the Odyffey, juft now referred to, proves the contrary. HORACE feems to have thought, that the whole had been invented -before HOMER'S time, as he .commends him for riot having begun with the egg : Nee gemtno Trojanum bellum ordltur ab ovo. But 1* xt. 302. By the GRE E -K S. 47 But there would have been no place for the compliment, if he could not have committed the fault. Be this as it may, the allegory is certainly of a very ancient date, and proves, that the authors of it did not believe HOMER'S account of the Tro- jan war. Indeed, it goes further : It proves, they did not be- lieve there had been a Trojan war at all ; in fupport of which opinion, much may be faid and has been faid *. 2«fy, IT is clear that HERODOTUS difbelieved, or very much doubted the Greek account of the Trojan war, That very in- telligent and inquifitive hiftorian informs us f, That he afked the Egyptian priefts, whether what the Greeks alleged to have happened at Troy was a foolijh Jlory J ? And he fays they told him, that PARIS and HELEN, in their pafTage from Sparta to Troy, were overtaken by a florm, which drove them to Egypt, where fome of their fervants having difclofed the crime they had committed, PROTEUS, who then reigned at Memphis, feized and detained their perfons, and the effects which they had brought with them : That when the Greeks came before Troy,, and demanded back HELEN and her effects, the Trojans an- fwered, that they had neither, both being in Egypt ; but the Greeks, not believing this, befieged the town, and took it ; and then MEN EL A us, finding that what they had faid was true, pro- ceeded to Egypt, where his wife and goods were reftored to him. HERODOTUS then quotes feveral paffages of the Iliad to prove, that HOMER knew HELEN was not in Troy, but in Egypt, and had perverted the fact for the fake of his poetry. He adds, that he, too, fubfcribes to what was faid with regard to HELEN'S not being in Troy, for this reafon, that it was impomble to be- lieve PRIAM fo devoid of underftanding, as that he would have expofed * See PERNETY'S Fables Egyptiennes et Grecques devoilees, torn. ii. And that trie hiftory of the Trojan war was no more than an allegory is taken for granted by GEBELIN DE LA Coon, in his Monde Primitif, ii. 400. j and by BRYANT, in his My- thology. f Lib. 2. J M*T«ies Tuye;. 48 TROY not taken expofed his kingdom to deftrudtion for a woman, if he had had her to deliver up. THIS is a very curious paflage. It proves clearly, that HE- RODOTUS, before he converfed with the Egyptian priefls, doubted extremely of the account given by the Greeks of the Trojan war. He feems, however, to have altered his opinion, in con- fequence of what they told him MENELAUS had reported when he came to Egypt. That account, if true, removed, no doubt, the chief difficulty he had, which was, the incredibility of PRIAM'S refufal to reflore HELEN, when demanded by the Greeks j but, if he had reflected a little, he muft havet>een fa- tisfied, that it could not be true that HELEN' was not in Troy during the fiege. If me had not been there, it is impoflible to believe that the Greeks would not have difcovered this in lefs than ten years. They mufl very foon have come at the facl:. When they did, they would have retired, if the recovery of her and her effeds was the object of the war. Or, fuppofing that the hope of plunder would have made them continue it, yet MENELAUS furely would have gone for her to Egypt him- fdf, or, at lead, fent fome perfon thither to enquire about her. Indeed, the affertion of the Trojans was, of itfelf, fufficient to have induced him to take that trouble. This has been remark- ed by RICCIUS*, who juflly maintains, that HOMER'S ftory as to this point is the more credible of the two : " Quis vera non " videat, magis prce fe ferre fpeciem fabulae id quod narrabant " facerdotes, qxiam quod habet HOMERUS; eftne, qusefo, veri- " fimile in ea ambiguitate perdurare voluiffe Graecos decem " annos ? 'Cum recipiendae HELENA tarn efTet cupidus MENE- " LAUS, non mitteret ftatim aliquos in yEgyptum qui exquire- " rent, an vere apud PROTEUM ilia detineretur ? Non id oin- " nino faciendum cenferent frater AGAMEMNON fupremus co- •" piarum imperator, NESTOR aliique duces ? Quse major abfur- -** ditas, qua: inlignior imprudentia, quae cramor ftoliditas de " Grsccis * Diflert. HOMER, vol. ii. diiT. 40. p. 216. By the GREEKS. 49 " Graecis ducibus virtute et confilio celeberrimis confingi un- '* quam poflit ?" SEVERAL ancient authors thinking it improbable that HELEN was in Troy, and feeing the force of the argument againft the fuppofition of her not having been there, contrived a fiction to reconcile the two accounts, viz. That VENUS had created a fhape or figure fo exactly like HELEN, that PARIS carried the coun- terfeit* with him to Troy, believing it to be the celebrated Beauty herfelf. EURIPIDES'S tragedy of HELEN turns entirely upon this ; and MUSGRAVE, in his notes, conjectures, that the ftory had been contrived by HELEN, in conjunction with the Egyptian priefts, to re-eftablifh her character after her return to Greece. It is plain, however, that, according to the Egyptian priefts and HERODOTUS, HOMER has falfified the ftory in one material circumftance ; if fo, it is impoflible to fay where he would flop. $dly, Although THUCYDIDES, in his introduction, does fup- pofe the truth of the Grecian expedition againft Troy, and re- fers to HOMER for feveral particulars, yet he once and again enters the caveat, " if any credit is to be given to his poems." Lqftly> PAUSANIAS fays, in fo many words, that he gives more credit to HOMER than the generality of people do. The expreflion in the original f is rather ftronger ; and it is certain, that feveral ancient authors, whofe works unfortunately have not reached us, arraigned HOMER of falfehood, in treatifes written on purpofe to convict him of it §. I will not quote from LUCIAN, as his levity might be objected to, but only ob- ferve, that, if the common chronology be juft, he had good reafon to laugh at the fuppofition of PARIS falling in love with HELEN, or of her being an object of contention to Afia and Greece, as it is xtemonftrable that me muft have been about an hundred years of age when Troy was taken j for, according to g the * 'EiJ«A«f. f 'o/ Aether, p. 1 60. edit. 1696. § See an enumeration of them in the preface toPhiloftr. Heroica, p. 603. edit. 1709. 5° ?R 0 T not taken the common chronology, feventy-nine years elapfed between the Argonautic expedition and the taking of Troy ; now fhe was the twin-fifter of POLLUX, who was one of the Argonauts, and who fought and beat a famous boxer in the pafTage to Colchis, and therefore cannot be fuppofed, at that time, under eighteen or twenty. BAYLE, in his dictionary, has taken notice of HELEN'S great age ; and a witty author has compared her to the famous NINON DE L'ENCLOS, who made an affignation on the day {he entered her eightieth year. But this ridicule flrikes only againft the common chronology ; for HOMER fays nothing to afcertain the period of time that elapfed between the two ex- peditions. From a circumftance, however, which he does men- tion, and which will be taken notice of by and by, it appears, that fhe could not be under forty when Troy was taken. AFTER what has been ftated, I may venture, I imagine, to proceed with lefs timidity than I otherwife could have done, to endeavour to fhew, that the account given by the Greeks of their expedition againft Troy is incredible and inconfiftent with itfelf ; and that (if ever there was at all a Trojan war) Troy was not taken by them, but that they were obliged, by thofe who defended it, to raife the liege, and retire with lofs and difgrace. SEVERAL of the arguments to be urged in the fequel upon this fubjecT; are taken from a very curious diflertation by a Greek author, Dio CHRYSOSTOMUS, who lived in the time of TRAJAN, and acquired great reputation by his works, from the purity of his ftyle, and the elegance and depth of his fentiments and reflections. He has written two diflertations upon HOMER j in one of them*, he makes his panegyric as a poet; but, in the other f, takes him feverely to talk as an hiflorian. The firft mentioned, which is in praife of the poet, is taken notice of by almoft every commentator who has publifhed an edition of hie works ; but not one of them makes the leaft mention of the other. Hence it is not much known. THIS * Orat. Iv. -f- Orat. si,. By the GREEKS. 51 THIS laft may be divided into two parts. Thefirft part contains an account of the Trojan war, quite oppofite, in moft particu- lars, to that of HOMER j and this, CHRYSOSTOM fays, he made up, partly from information, which he too pretends to have ob- tained from an Egyptian prieft, and partly from what appeared to him to be moft probable. The other, and by, far the moft valuable part, is an argument to prove, that HOMER'S account muft appear, when examined with attention, to be falfe, abfurd, and contradictory to itfelf. As the detail which CHRYSOSTOM gives is not vouched or authenticated in any fhape, I fhall ftate no more of it than is necefTary for underftanding the argu- mentative part of his difcourfe, which merits the greateft atten- tion. CASAUBON, who writes fome notes on this author, fays of this diflertation ; " Dignus plane liber hie, quern legant " philologi, et quicunque in veterum fcriptis cum judicio capiunt " verfari ; quamvis et pro HOMERO multa dici pofTunt." IT is not, however, my intention to tranflate this part of the difcourfe, nor even to abridge it, but only to felec"l from it the arguments that appeared to me the moft conclufive and ftriking, to enforce them by fome additional confiderations, and to add fome obfervations that have occurred to myfelf in reading and reflecting on this very important and interefting article of an- cient hiftory. ACCORDING to this author, HELEN, the daughter of TYN- DARUS, king of Sparta, was, by far, the moft beautiful woman of her time, and had a great number of fuitors, amongft whom were MENELAUS and PARIS. The latter was preferred by. the lady to all the reft, on account of the graces of his perfon and addrefs ; and his magnificent prefents obtained the confent of TYNDARUS, her father, who befides was defirous of connecting himfelf with Afia. Upon this MENELAUS, and the other Greeks, partly from refentment of the affront which they thought they had received, and partly from the hope of plunder, invaded g 2 Troas. 5 2 TROY not taken Troas. Many auxiliaries came to the affiftance of PRIAM, and an obftinate and bloody war enfued, in the courfe of which great numbers fell on both fides ; but the Greeks had all along the worft of it. They loft, a great number of troops, and fome of their braveft commanders. HECTOR, according to this au- thor, inftead of being flain by ACHILLES, himfelf flew both ACHILLES and AJAX ; though HOMER, to cover this difgrace, has made the former, who was the braveft of the Greeks, perifh by the hand of PARIS, the moft daftardly of the Trojans, the latter by his own. At laft, after fufFering an infinity of hard- mips and lofles, the Greeks were glad to retire as they beft could. He gives a very long detail of the war ; but, for the reafon already mentioned, I enter not upon it, but proceed to the real evidence he offers of the falfity of the common ftory. IN confidering this matter, it will be proper to view the cir- cumftances and fituations of perfons and affairs, as at four dif- ferent periods : \ft, Before the voyage of PARIS to Sparta. 2^7)', As at the time of his arrival there, ^dly, During the war. And, lajlly^ After the taking and facking of Troy. IT is, by no means, probable that PARIS would fall in love with a woman whom he had never feen ; and ftill lefs fo, that he would form the defperate and nefarious project of carrying her off from her hufband, a powerful king, who lived at a coii- fiderable diftance, and beyond feas. CHRYSOSTOM might have added, that the force of this ob- jection was forefeen ; and that to obviate it^was invented what is called the judgment of PARIS ; for it was not the fhepherd of Ida that conceived this plan ; he was put upon it by VENUS, who promifed him fuccefs in reward of his having adjudged the apple to her. BUT further, PARIS could not get a fhip, or a crew, without the confent or connivance of his father ; yet it cannot be be- lieved, that PRIAM, an old, wife and good king, would give any countenance to fuch an undertaking. LET By the GREEKS. 53 LET it be fuppofed, however, that PARIS, fomehow or other, got a (hip and crew, and arrived at Lacedzmon, when MENELA- us and her brother were abfent, (for it is furely neceffary to fend them away) j and let it be flill further fuppofed, that he had been able to perfuade her to forfake her hufband, her 'child, and her country, and to follow, to her own eternal difgrace, a young adventurer to a flrartge land ; yet ftill infurmountable difficulties flood in the way of his carrying her off. For it muft be obferved, that Lacedaemon was not a fea-port town, but a mediterranean place, being many miles up the country, as appears from the map ; and further, that PARIS did not on- ly carry off HELEN, but her effects, which confided in bulky good's, fuch as, wearing apparel, carpets, tapeftry, and veffels of different kinds. It was impoffible, therefore, for PARIS to carry her off fecretly. He muft have done it openly and avow- edly, and in the face of the fun ; and a number of horfes and carriages were neceffary to tranfport the lady and her baggage from Lacedjemon to the fea-port. Now, fuppofing MENELAUS abfent, is it poffible to believe that his fubjec~ls would have fat with their arms acrofs, and beheld the wife and the wealth of their king carried off by a handful of banditti ? IT is not eafy to figure a tolerable anfwer to this objection. The author of one of the fpurious hiftories of the Trojan war in Latin felt its force, and to avoid it, pretends, that PARIS met with HELEN in the ifland of Cythera, near the coaft of Sparta. But this is inadmiffible ; for, in theory? place, HOMER exprefs- ly fays, in a variety of paffages, that HELEN was brought from Lacedsemon to Troy ; and, idly, Not only fhe, but all her valu- able effeds were carried off; and fhe certainly would not have thefe with her,- when upon an excurfion to an ifland in the neighbourhood. WE come now to the period of the war. It is very furprifing that the Trojans did not deliver up HELEN to the ambaffadors fent J4 TROT riot taken fent from Greece, as the demand was not only founded in ju- ftice, but enforced by the threat of an invafion. It is ftill more furprifing, that they fliould perfift in their refufal, when they faw themfelves attacked with 1200 mips and 100,000 men. What is mod aftonifhing of all is, that they did not reftore her upon the death of PARIS, but married her to his brother DEI- PHOBUS. Here CHRYSOSTOM argues, and with great plaufibi- lity, that this is perfectly incredible, upon the fuppofition that PARIS had poffefled himfelf of her by a crime ; but by no means fo if he obtained her in marriage with her father's con- fent ; for then the grofTeft injuftice was on the fide of the Greeks ; and it is not at all furprifing, that the Trojans mould have been willing to fuffer the laft extremities rather than fub- init. This laft fuppofition is further confirmed by this circum- ftance, that CASTOR and POLLUX, the brothers of HELEN, did not go upon this expedition. They both were alive at the time of her pretended elopement *. TEN years elapfed, after the elopement of HELEN, before the Greeks laid fiege to Troy. This we learn from her lamentation over the dead body of HECTOR ; for there me is made to fay exprefsly, that me was now in the twentieth year of her ab- fence from her native country f ; and as it is agreed, that the fiege of Troy lafted ten years, it follows, that the fame period had elapfed from her being carried off to the landing of the Greeks in Afia. This circumftance CHRYSOSTOM has overlook- ed ; but it feems to delerve attention. So long a delay cannot well be accounted for. THE fcholiaft upon the above paflage, who feems to have fore- feen the obfervation, fays, that this time was fpent in affembling the Grecian army ; but as the Grecian princes lived at no great diftance from one another, and all their men were accuftomed to the ufe of armsy it could not be difficult to bring them foon together ; and if it be fuppofed, that they came to the place of rendezvous * IL iii. 236. f IL xxiv. 765. By the GREEKS. 5-5 rendezvous at different times during this long period, it is not eafy to fee how they could be fubfifted , befides, it cannot be doubted, that MENELAUS would haften the invafion as much- as poflible. AT this rate, the beauty of HELEN mufl have been upon the wane when the fiege began, and~quite over by the time it ended. For which reafon, Mr WOOD regrets, that HOMER introduced the circumftance into his poem, as it is far from being agree- able, and not at all material. He might have added, that it is not confident with the exceflive encomiums which even the old men of Troy beftow on her charms, in the tenth year of the fiege j or the extravagant compliment they pay her, that it was not at all furprifing the Greeks and Trojans mould have fuffer- ed fo much and fo long for her. The probability is, that this circumftance was invented by HOMER to give an air of credi- bility to fome others ; particularly, to account for the abfence of CASTOR and POLLUX. In the third book of the Iliad, HELEN exprefles great furprife becaufe me did not fee her two brothers among the Grecian commanders. This was in the tenth year of the liege; and HOMER adds," But^they had both died at La- cedsemon a long time before." This proves they were alive at the time of the elopement ; and that he thought it neceffary to account for their not being at the fiege. THE Greeks, however, did at laft make their appearance be~ fore Troy ; but the town was not taken till after a ten years fiege *. This is the moft puzzling circumftance of all ; efpe- cially when it is confidered, that HOMER tells us it had been taken formerly by HERCULES with only fix mips, and had by him been levelled to the ground. THE * M. FOURMONT, in. a differtation, in torn. 5. ties Mem. de I' Acad.deslnfcrip. pretends, that the fiege began only three weeks or a month before the quarrel between AGAMEM- NON and ACHILLES, -which happened in the beginning of the tenth year j and that the reft of the time had been fpent in expeditions againft different places in Afia. M. FOUR- MONT fays, unanfwerable objections may be made to HOMER'S account on the other fup- pofition. The Abb6 BANIER has written an anfwer to this diflertation, in which he proves, . from feveral paflages in HOMER, that the fiege lafted ten years ; but has been, by no • means, able to anfwer the objections that arife from that fuppofition. See tom-.j. 56 ? R 0 Y not taken THE Greeks, by HOMER'S account, were always greatly fupe- rior in numbers to the Trojans and their auxiliaries ; and, for more than nine years, they had ACHILLES with them *, whom HOMER has, on all occafions, reprefented as perfectly irrefidi- ble to the Trojans. How then came it about that the war laded fo long ? THE only anfwer that can be made to this is, that the Trojans kept within their walls as long as ACHILLES appeared; and this HOMER himfelf fuggefts f, though it is contradictory to feveral other pafTages, where it is faid, that many battles had been fought, and great numbers flain on both fides. BUT this will not prove fatisfactory, when it is confidered, that ANDROMACHE, in the interview me has with HECTOR in the fixth book, tells him, that the city was to be come at, and the wall eafily fcaled ^; and that Aj AX, AGAMEMNON, MENE- LAUS, and DIOMED, had three times attempted it. If fo, what hindered ACHILLES to florm the town the day after he landed ? How came AJAX, and the other chiefs, to be fo long in threat- ening an afTault ? Madame DACIER, in a note on this paf- fage, fays, That the art of reconnoitering was not known, at this time, even to the Greeks. The abfurdity of the anfwer fhews the force of the obfervation. A wolf, fox, or other bead of prey, that wants to get into a fold or clofe where fheep or cattle are confined, would walk round it to difcover at what place the fence was lowed. BUT further, fuppofing the town to have been impregnable, how came the Greeks not to take it by blockade ? They had a powerful fleet, the Trojans none ; fo that it was eafy to hinder the town from being fupplied-with proviiions by fea ; and it was equally eafy to have drawn lines around it, which would have cut off all communication between it and the country; the infallible confequence of which would have been, that the Trojans mud have furrendered as foon as their dock of provi- fions' * II. viii. 558. | II. vii. 352.5 xviii. 287. t II. vi". 434. By the GREEK S. 57 (ions was confumed. As the Greeks did not draw lines around the town, whilft, at the fame time, we are told they threw up a rampart before their own {hips, and as the Trojans received fuccours from their neighbours at different times, the fair con- clufion is, that the Greeks were not matters of the country, nor fuperior to the Trojans in the field, but, on the contrary, found themfelves overmatched. If it {hall be faid, that the art of drawing lines was not known to the Greeks, I anfwer, that the method they took to fecure their mips proves the contrary to be true ; and, had they been ignorant of that art, (if fo fimple an operation deferves that name), they never would have thought of the fiege, as they had no artillery or machinery of any kind for making a breach in the walls : Befides, without any art or labour, they could have placed bodies of troops fo as to intercept all the Trojan convoys. HOMER admits, that the Greeks fuffered more before Troy than any mortal man could relate * : That they loft a great num- ber of men, many excellent officers, and that AJAX, ANTILO- CHUS, PATROCLUS, and ACHILLES, the greateft hero of them all, perifhed in the expedition. This, of itfelf, affords a pre- fumption that they were not fuccefsful. It is very improbable that ACHILLES fell by the hand of PARIS ; the truth feems to be, that he died by that of a better man. HECTOR pofTefTed himfelf of his armour, which is not at all furprifing, if he flew its owner ; but cannot otherwife be explained : For, as to the ftory of PATROCLUS drefung himfelf in the armour of ACHILLES, and being flain and flripped by HECTOR, it cannot poflibly be true. ACHILLES was by far the ftrongeft and flate- lieft of the Greeks : HECTOR was nothing to him; and PATRO- CLUS again was nothing to HECTOR, as is evident from the anxiety with which ACHILLES charges him not to encounter HECTOR. Now, when HECTOR did get ACHILLES'S armour, he found he could not ufe it > and, therefore, HoMERf makes h JUPITER * Odyfl". iii. 105. t Book xvii. 210. 58 T ROY not taken JUPITER interpofe to fit it to his body ; though, after all, the god did not perform the work fufficiently j for HECTOR owed his death to fighting ACHILLES in that armour, as an aperture ftill remained near the throat, through which ACHILLES drove his fpear. If then the armour of ACHILLES could not be ufed by HECTOR, how is it poffible, that it could be ufed by PATRO- CLUS, who was fo much inferior to him ? It is palpable, that he muft have been almoft as ill fitted with it as DAVID was with SAUL'S. HOMER himfelf admits*, that PATROCLUS could not wield ACH ILL ES'S fpear, how then could he fupport, not to fay march and fight, under the load of his armour ? IT cannot be denied, that ACHILLES fell during the fiege j and it is evident the Greeks muft have been lefs able to take the town, after this and their other lofles, than before. Ac- cordingly it is admitted by HOMER and his followers, that they did not take it by force, but it is pretended they took it by ftra- tagem. HOMER'S account of which, is precifely as follows f: EPEUS made a wooden horfe, into which ULYSSES and the Gre- cian chiefs -went with a body of troops ; the reft of the Greeks burnt their tents, and fet fail. Upon this, the Trojans came down, and, along with them, HELEN. She, attended by DEI- PHOBUS, went three times round the horfe, calling each of the Grecian leaders by his name, and mimicking the voice of his wife. This made them all, except ULYSSES, defirous to get out, or return an anfwer ; but he reftrained them, and clapped his hand oh the mouth of one of them, who was more eager to fpeak than the reft, and kept him gagged in that manner till HELEN retired. The Trojans then drew up the machine to their citadel, and held a confultation as to what they mould do with it. Some were for cutting it up ; fome for precipitating it from the rock;, but others thought it ought to be allowed to remain as a propi- tiatory figure. This laft opinion prevailed, and the Greeks came - out * II. xvi. 140, •}• Odyff. viii. 500.5 iv. 271. . By the G R E E K S. 59 out of it, and, after an obftinate ftruggle, vanquifhed the Tro- jans, and plundered the town. THE abfurdity of all this is too grofs and glaring to need re- futation. VIRGIL faw well the objections to which it is liable, and, to obviate them, has flrained his invention to the utmoft, but in vain. According to him, this horfe was huge as a moun- tain*; and it was necefTary it mould, as it was to contain an army in its belly. It fell to the lot of ULYSSES, MENELAUS, NEOPTOLEMUS, the maker EPEUS, and five other leaders, to en- ter this machine ; which they did, with a body of armed men that filled it. The reft of the Greeks failed to Tenedos, which was in fight f, and there hid% themfelves on the defart more. The Trojans, thinking them gone for good, came down, and confulted about the difpofal of the horfe, as in HOMER. But upon LAOCOON, who oppofed its introduction into the city, be- ing devoured by two ferpents, they put wheels to its feet, and ropes to its neck, and drew it up to the town, through a breach made on purpofe in the wall. The Greeks at Tenedos returned at midnight, having the benefit of a bright moon-mine ; and thofe in the horfe having defcended by means of a rope, opened the gates to them, and the Trojans, being buried in fleep and wine, were eafily maftered. EVERY perfon who reads this with the leaft attention muft perceive, that VIRGIL had better have couched the ftory in ge- neral obfcure terms, as HOMER does. By being particular, in- ftead of mending the matter, he makes it worfe ; and there is one ftriking incongruity, into which it is aftonifhing he mould have fallen. Tenedos, he fays, was in fight ; and, no doubt, it was ; for its diftance from the Trojan fhore is but forty ftadia, or five miles ; it was a bright moon-mine, and Troy flood on a hill ; how then could a great army be hid from the Trojans on a defart fhore ? At any rate, it is impoflible, that 1200 fhips could be concealed from them. They muft have feen the fleet h 2 at * ./Eneid. ii. f In copfpe&u. \ Condunt. 60 T ROT not taken at lead. If fo, it cannot be believed, that they would have made a large breach in their wall, when the enemy was fo near. But it would be improper to dwell longer here. Since the town, it is admitted, was not taken by force, and fince the flra- tagem by which it is alleged to have been taken is abfurd and impracticable, the fair conclufion is, that it was not taken at all, and that we mould have read the r.epulfe of the Greeks in verfe, if time had not envied us the works of the poets of Troy. LET us now fee what happened, according to the Greek wri- ters, after Troy was, as they pretend, taken and facked. If the Greeks had been, in reality, victorious, it is natural to fuppofe that they would have returned home in a body, in good order, obferving due difcipline and obedience to their general. But, inftead of doing fo, HOMER tells us *, that they quarrelled among themfelves, differed about the courfe they mould fleer j that fome went one way, fome another, and that feveral were fhipwrecked. BUT this is not all : If the Greeks had been, in reality, vic- torious, thofe who returned would have been received as con- querors, with open arms by their families, and with acclama- tions by their fubjecls. But the re verfe of this confefledly hap- pened. AGAMEMNON, their captain-general, upon his arrival, was flain in his own houfe, by a villain who had debauched his wife in his abfence. Would fuch have been his fate, had he ap- peared at the head of an army of conquerors ? And not only was he himfelf flain, but, according to HOMER, all thofe who return- ed with him ; yet this exploit was performed, he fays, byyEcisTH us, with no more than twenty men ; and he reigned feven years in AGAMEMNON'S ftead f, till he was afTaffinated, in his turn, by ORESTES. DIOMED was foon driven from his country, and NEOPTOLEMUS from Peloponnefus ; and, according to the ac- count of the former in VIRGIL, all who were concerned in the expedition * Odyff. iii. 136. f Ibid. iv. 530.. By the GREEKS. 61 expedition againft Troy were difperfed over the earth, and fuf- fered every where remarkable hardfhips and diftrefs, F" Where flill, 'tis faid, the fairy people meet Beneath each birken fhade on mead or hill. There each trim lafs that fkims the milky (lore To the fwart tribes their creamy bowl allots ; * 2 By * See the preceding letter from Dr CARLTLE. 68 ODE on the POPULAR SUPERSTITIONS of By night they fip it round the cottage-door, While airy minftrels warble jocund notes. There every herd, by fad experience, knows How, wing'd with fate, their elf-£hot arrows fly ; When the fick ewe her fummer food foregoes, Or, ftretch'd on earth, the heart-fmit heifers lie. Such airy beings awe th' untutor'd fwain : Nor thou, though learn'd, his homelier thoughts neglect j Let thy fweet mufe the rural faith fuftain : Thefe are the themes of fimple, fure effecl:, That add new conquefls to her boundlefs reign, And fill, with double force, her heart-commanding ftrain. III. EV'N yet preferv'd, how often may'ft thou hear, Where to the pole the Boreal mountains run, Taught by the father to his lift'ning fon Strange lays, whofe power had charm'd a SPENCER'S ear. At ev'ry paufe, before thy mind pofleft, Old RUNIC bards (hall feem to rife around, With uncouth lyres, in many-coloured veil, Their matted hair with boughs fantaftic crown'd : Whether thoxi bid'ft the well-taught hind repeat * The choral dirge that mourns fome chieftain brave,. When ev'ry fhrieking maid her bofom beat, And ftrew'd with choiceft herbs his fcented grave ^ Or whether, fitting in the fliepherd's fhiel f, Thou hear'ft fome founding tale of war's alarms ; When^ at the bugle's call, with fire and fteel, The fturdy clans pour'd forth their bony fwarms, And hoflile brothers met to prove each other's arms. 'Tis * Firft written, relate. f A kind of hut, built for a fummtr habitation to the herdfmen, when the cattle are Tent to graze in diftant failures. The HIGHLANDS of SCOTLAND. 69 IV. 'Tis thine to fing, how framing hideous fpells In SKY'S lone ifle the gifted wizzard " fits *," ' Waiting in" wintry cave " his wayward fits f ;" Or in the depth :£ of UIST'S dark forefts dwells : How they, whofe fight fuch dreary dreams engrofs, With their own vifions oft aftonifti'd § droop, When o'er the wat'ry ftrath or quaggy mofs They fee the gliding ghofts unbodied troop. Or if in fports, or on the feftive green, Their " piercing || " glance fome fated youth defcry, Who, now perhaps in lufty vigour feen And rofy health, {hall foon lamented die. For them the viewlefs forms of air obey Their bidding heed * *, and at their beck repair. They know what fpirit brews the ftormful day, And heartlefs, oft like moody madnefs ftare To fee the phantom train their fecret work prepare* V. 1 1 " OR on fome bellying rock that fhades the deep, " They view the lurid figns that crofs the fky, " Where, in the weft, the brooding tempefts lie, 1 And hear their firft, faint, milling pennons fweep. ! Or in the arched cave, where deep and dark The broad, unbroken billows heave and fwell, " lit * COLLINS had written, feer. •J- COLLINS had written, Lodg'd in the wintry cave with and had left the line" im- perfed : Altered and the chafin fupplied by Dr CARLYLE. J Firft written, gloom. \ Firft written, afflitted. || A blank in the manufcript. The word piercing fupplied by Dr CARLYLE. * * Firft written, mar}. t f A leaf of the manufcript, containing the fifth ftanza, and one half of the fixth, is here loft. The chafm is fupplied by Mr MACKENZIE. 70 ODE on the POPULAR SUPERSTITIONS of ' In horrid mufings rapt, they fit to mark The labouring moon ; or lift the nightly yell ' Of that dread fpirit, whofe gigantic form The feer's entranced eye can well furvey, Through the dim air who guides the driving ftorm, " And points the wretched bark its deftin'd prey. ' Or him who hovers, on his flagging wing, ' O'er the dire whirlpool, that, in ocean's wafte, " Draws inftant down whate'er devoted thing The failing breeze within its reach hath plac'd — " The diftant feaman hears, and flies with trembling hafte. VI. 1 OR, if on land the fiend exerts his fway, ' Silent he broods o'er quickfand, bog, or fen, ' Far from the melt' ring roof and haunts of men, When witched darknefs {huts the eye of day, ' And Ihrouds each ftar that wont to cheer the night ; ' Or, if the drifted fnow perplex the way, With treach'rous gleam he lures the fated wight, " And leads him floundering on, and quite aftray." What though far off, from fome dark dell efpied His glimm'ring mazes cheer th' excurfive fight, Yet turn, ye wand'rers, turn your fteps aiide, Nor truft the guidance of that faithlefs light ; For watchful, lurking 'mid th' unruftling reed, At thofe mirk * hours the wily monfter lies, And liftens oft to hear the pafling fleed, And frequent round him rolls his fullen eyes, If chance his favage wrath may fome weak wretch furprife. VII. AH, lucklefs fwain, o'er all unbleft indeed ! Whom late bewilder'd in the dank, dark fen, Far * Firft written, fad. The HIGHLANDS of SCOTLAND: 71 Far from his flocks and fmoking hamlet then ! To that fad fpot " his wayward fate {hall lead * :" On him enrag'd, the fiend, in angry mood, Shall never look with pity's kind concern, But inftant, furious, raife the whelming flood O'er its drown'd bank, forbidding all return. Or, if he meditate his wifh'd efcape To fome dim hill that feems uprifing near, To his faint eye the grim and grifly fhape, In all its terrors clad, fhall wild appear. Meantime, the wat'ry furge fhall round him rife, Pour'd fudden forth from ev'ry fwelling fource. What now remains but tears and hopelefs fighs ? His fear-fhook limbs have loft their youthly force, And down the waves he floats, a pale and breathlefs corfe. VIII. FOR him, in vain, his anxious wife mall wait, Or wander forth to meet him on his way j For him, in vain, at to-fall of the day, His babes fhall linger at th' unclofing "f gate. Ah, ne'er fhall he return ! Alone, if night Her travell'd limbs in broken flumbers fteep, With dropping willows dreft, his mournful fprite Shall vifit fad, perchance, her filent fleep : Then he, perhaps, with moift and wat'ry hand, Shall fondly feem to prefs her fhudd'ring cheek J, And with his blue fwoln face before her fland, And, fhiv'ring cold, thefe piteous accents fpeak : Purfue || , dear wife, thy daily toils purfue At dawn or dufk, induftrious as before ; Nor * A blank in the manufcript. The line filled up by Dr CARLTLE. •f- Firft written, cottage. J Firft written, Shall feem to prefs her cold and Jhudd' ring cheek. | Firft written, proceed. 72 ODE on the POPULAR SUPERSTITIONS of Nor e'er of me one haplefs thought renew, While I lie welt'ring on the ozier'd fhore, JDrown'd by the KAELPIE'S * wrath, nor e'er fliall aid thee more! IX. UNBOUNDED is thy range ; with varied ftile Thy mufe may, like thofe feath'ry tribes which fpring From their rude rocks, extend her fldrting wing Round the moid marge of each cold Hebrid ifle, To that hoar pile which ftill its ruin mows "f ^ In whofe fmall vaults a pigmy-folk is found, Whofe bones the delver with his fpade upthrows, And culls them, wond1 ring, from the hallow' d ground! Or thither where beneath the fliow'ry weft The mighty kings of three fair realms are laid $ : Once foes, perhaps, together now they reft. No flaves revere them, and no wars invade : Yet frequent now, at midnight's folemn hour, The rifted mounds their yawning cells unfold, And forth the monarch's ftalk with fov'reign pow'r In pageant robes, and wreath'd with flieeny gold, And on their twilight tombs aerial council hold. BUT * A name given in Scotland to a fuppofed fpirit of the waters. f ON the largsft of the Flannan {/lands (ifles of the Hebrides) are the ruins of a chapel dedicated to St FLANNAN. This is reckoned by the inhabitants of the Weftern Ifles a place of uncommon fandtity. One of the Flannan iflands is termed the IJle of Pigmies ; and MARTIN fays, there have been many fmall bones dug up here, reftmbling in mniia- •ture thofe of the human body. t THE ifland of lona or Icolrnkill. See MARTIN'S Defcription of the Weftern Iflands of Scotland. That author informs us, that forty-eight kings of Scotland, four kings of Ire- land, and five of Norway, were interred in the Church of St OURAN in that ifland. There were two churches and two monasteries founded there by St COLUMBUS about^. D. 565. BED. Hifl. Eccl. I. 5. COLLINS has taken all his information refpefting the Weftern Ifles from MARTIN j from whom he may likewife have derived his knowledge of the po- pular fuperftitions of .the Highlanders, with which this ode mows fo perfeft an ac- quaintance. The HIGHLANDS of SCOTLAND. 73 X. BUT O ! o'er all, forget not KILDA'S race*, On whofe bleak rocks, which brave the wafting tides, Fair Nature's daughter, Virtue, yet abides. Go, juft, as they , their blamelefs manners trace ! Then to my ear tranfmit fome gentle fong Of thofe whofe lives are yet fincere and plain, Their bounded walks the rugged cliffs along, And all their profpect but the wintry main. With fparing temp'rance, at the needful time, They drain the fainted fpring, or, hunger-preft> Along th' Atlantic rock undreading climb, And of its eggs defpoil the Solan's neft. Thus bleft in primal innocence they live, Suffic'd and happy with that frugal fare Which tafteful toil and hourly danger give. Hard is their mallow foil, and bleak and bare j Nor ever vernal bee was heard to murmur there ! XI. NOR need'ft thou blufli, that fuch falfe themes engage- Thy gentle mind, of fairer flores poffeft ', For not alone they touch the village breaft, But fill'd in elder time th' hiftoric page. There SHAKESPEARE'S felf, with ev'ry garland crown'df, In mufing hour, his wayward fillers found, And with their terrors dreft the magic fcene. From them he fung, when mid his bold defign, Before the Scot afflicted and aghaft,. h The * The character of the inhabitants of St Kilda, as here defcribed, agrees perfectly with the accounts given by MARTIN and by MACAULAY, of the people of that ifland- It is the moil wefterly of all the Hebrides, and is above 130 miles diftant from the main land of Scotland. f THIS ftanza is more incorrect in its ftrufture than any of the foregoing. There is apparently a line wanting between this and the fubfequent one, In mujtng hour^tt-c. The deficient line ought to have rhymed with fcene. 74 ODE on the POPULAR SUPERSTITIONS of I The fhadowy kings of BANQUO'S fated line, Through the dark cave in gleam y pageant pad. Proceed, nor quit the tales which, fimply told, Could once fo well my anfw'ring bofom pierce j Proceed, in forceful founds and colours bold The native legends of thy land rehearfe ; To fuch adapt thy lyre and fuit thy powerful verfe. XII. IN fcenes like thefe, which, daring to depart From fober truth, are ftill to nature true, And call forth frefh delight to fancy's view, Th' heroic mufe employed her TASSO'S art ! How have I trembled, when at TANCRED'S ftroke, Its gufhing blood the gaping cyprefs pour'd ; When each live plant with mortal accents fpoke, And the wild blaft up-heav'd the vanifh'd fword * ! How have I fat, when pip'd the penfive wind, To hear his harp, by Britifh FAIRFAX ftrung. Prevailing poet, whofe undoubting mind Believ'd the magic wonders which he fung ! Hence at each found imagination glows ; Hence his warm lay with fofteft fweetnefs flows ; Melting it flows, pure, num'rous, ftrong and clear, And fills th' impaflion'd heart, and wins th' harmonious ear f. ALL * THESE four lines were originally written thus : How have I trembled, -when, at TANCRED'S_/&^, Like him IJla/i'd, and all his pajjlons felt ; When charm' d by ISMEN, through the foreft wide, Bark'd in each plant a talking fpirit dwelt ! •j- THESE lines were originally written thus : Hence, fure to charm, his early numbers flow, Though Jlrong, yet fweet Though faithful, fuieet ; though Jlrong, of Jimple kind. Hence, with each theme, fie bids the bofom glow, While his warm lays an eafy pajjagejind, Pour'd through each inmojl nerve, and lull tV harmonious ear* The HIGHLANDS of SCOTLAND. 75 XIII. ALL hail, ye fcenes that o'er my foul prevail, Ye " fpacious *" friths and lakes which, far away, Are by fmooth ANNAN fill'd, or pafVral TAY, Or DON'S romantic fprings, at diflance, hail ! The time fhall come when I, perhaps, may tread Your lowly glens, o'erhung with fpreading broom, Or o'er your ftretching heaths by fancy led : Then will I drefs once more the faded bow'r, Where JOHNSON fat in DRUMMOND'S f " focial J" fhade, Or crop from Tiviot's dale each " claffic flower," And mourn on Yarrow's banks " the widow'd maid||." Meantime, ye Pow'rs, that on the plains which bore The cordial youth, on LOTHIAN'S plains attend, Where'er he dwell, on hill, or lowly muir, To him I lofe, your kind protection lend, And, touch'd with love like mine, preferve my abfent friend. * A blank in the manufcript. The word fpacious fupplied by Dr CARLYLE. \ BEN JOHNSON undertook a journey to Scotland a-foot in 1619, to vifit the poet DRUMMOND, a{ his feat of Hawthornden, near Edinburgh. DRUMMOND has preferved in his works, fome very curious heads of their converfation. $ A blank in the manufcript. Social fupplied by Dr CARLYLE. |j Both thefe lines left imperfect ; fupplied by Dr CARLYLE. This laftftanza bears more marks of haftinefs of compofition than any of the reft. Befides the blanks which are .fupplied by Dr CARLYLE, there is apparently an entire line wanting after the feventh line of the fianza. The deficient line ought to have rhymed with broom. k 2 IV. An ESSAY -upon the PRINCIPLES of HISTORICAL COMPOSITION, with an Application of thofe Principles to the Writings of TACITUS. By JOHN HILL, M. A. F. R. S. ;EDIN. and ProfeJJor of Humanity in the Univerftty of EDINBURGH. PART I. \Read by the Author, April 19. 1784.] literary exertions put the author's abilities to a feverer teft than the competition of hiftory. The poet may create a fubjecl for himfelf, or he may adopt one that is bxit imper- fectly known. In the competition of an epic poem, he indrafts and pleafes by exhibiting fuch a train of actions as might have taken place, and, unlefs he violates probability, his invention may bid defiance to reftraint. If his work be imperfect, he has himfelf to blame, as thofe very powers which give the form to his fubjedl, gave it firft its exigence. THE orator, again, is more clofely circumfcribed. Not only is his fubjecl: known to have exifted, but its circumftances, if not witnefled by his hearers, may, for certain, become matters of proof. In fpite of every prejudice upon the part of his au- dience, he profefTedly takes a fide. He is allowed to fuppofe, that his opponents either are ignorant of certain facts, or are viewing them in a falfe light. He applies the addrefs of elo- quence to their fancy, and the force of argument to their rea- foa ; and reckons every ftratagem fair by which he can correct the errors that are involuntary, and confute thofe that are feen. THE ESSAY upon the PRINCIPLES, &c. 77 THE hiftprian is in a fituation more trying, in certain re- fpedls, than either the poet or the orator. He muft unite in- duftry with genius, as by fevere labour alone, he has to learn what his fubjeft is. He muft make the moft of a train of facts too well eftablifhed to be altered, and the fources of his intel- ligence are generally open to his readers. Having no prejudice to combat, and no fide to fupport, he can hardly make the weaknefs of his reader the tool of his addrefs. In the ftyle of his narration, he muft exhibit a variety that will fuit the meaneft, as well as the moft fplendid actions. Though he is not allowed to fabricate, yet he is required to em'bellim. His ornaments, by being the genuine, though the beft drefs of his materials, muft fix the reader's attention, without mifleading his judgment. FROM the perception of truth with which hiftorical narration is accompanied, it is of all kinds of writing the moft inftruc- tive. Men liften more ferioufly to what they believe, than to the moft exquifite fable which fancy can devife. The tale pleafes by a temporary conviction of its truth; but though the moral drawn from it be juft, yet the impreflion left behind is eafily effaced. HISTORY then is not only a nice, but a dignified fubject of criticifm *. It prefents to the race which exi'fts, monuments of the wifdom and the weaknefs of its forefathers. It demands no reverence for its precepts, that is not founded upon a convic- tion of their propriety. It imparts wifdom, without expofing men to thofe evils which are its ordinary price ; and upon eve- ry rock that proved fatal to early adventurers, it leaves a bea- con for the fecurity of others. IN order to eftat>lim a canon for judging of the merit of every hiftorical work, we mail try to delineate thofe qualities which mould predominate in the hiftorian's character. Let us view * PULCHRDM imprimis videtur, non pati occidere quibus seterahas debeatur, aliorum- que famam cum fua extendere. PLIN. lib. 5. efi/l. 8, 78 ESSAY upon the PRINCIPLES view his mind then in refpecl to Feeling, to Imagination, and to Judgment ; and confider them as the leading powers to which fubordinate ones are to be referred. The due union and the due extent of thefe conflitutes that mental temperament, which, by making beauty the vehicle of inftruclion, muft, at once, pleafe the tafle and inform the underftanding. IT may be thought, perhaps, that, as the three powers men- tioned cannot be fuppofed requifite in the hiftorian alone, fa no analyfis referring to them can be held truly defcriptive of his character. All the fine arts, however, are clofely allied. " Habent quoddam commune vinculum (fays CICERO), et quafi ' cognatione quadam inter fe continentur." Though the con- ftituents of eminence be the fame in the whole, yet thefe are highly diverfified by the applications and the balance required in each. A flight difference in the leading powers of mind forms all the variety which genius in the different arts exhibits. If thofe principles then that are, at any time, adopted to form a ftandard for juft execution in any one of them be not, in fome degree, general, it may be held as certain that they are not found. BY feeling is to be underftood that nice fenfibility which catches even the flighteft impreffion, and in which there fubfifts a due proportion between the emotion and the caufe of its ex- citement. Thofe characters of feeling that are adverfe to juft execution in the works of tafle arife both from its deficiency and its excefs. In the one cafe, nature has done too little, in the other fhe has done too much. That calloufnefs which pro- ceeds from the want of feeling excludes impreffions of which others are confcious, and thofe falfe irritations which proceed from its excefs fuggeft emotions which, by the fober, are deem- ed unnatural, becaufe they were never felt by them. It is in that juft medium, which is equally removed from the extremes mentioned, that feeling becomes the inftrument of genius. The mafterly execution of an able writer pleafes and even improves that Of HISTORICAL COMPOSITION. 79 that tafte, in which the balance is not delicate ; and the enjoyment of the reader is jointly proportioned to the abfolute juftnefs of the author's feelings, and to the correfpondence between them and his own. BY perceptions thus delicate, the hiftorian's character muft be highly improved. His defcriptions muft be tender, as be- ing founded on thofe nice circumftances that efcape an or- dinary eye ; and though his fenfibility muft multiply the grounds of defcription, yet the correctnefs of his feeling leads him to fuch only as are juft. Hiftorical narration is more fre- quently faulty from that bluntnefs of perception, by which the minute qualities of objects are concealed, than from that defect in judgment, by which the leaft proper are felected. The de- tail often becomes prolix from the dulnefs of the writer. One of true feeling adopts a concife energy, which reaches both the heart and the underftanding. He permits his reader to pafs little that is worthy of his notice, and he with-holds it from that on- ly which is really beneath it. FROM an hiftorian of this defcription a delicate fenfe of what he owes to himfelf and to his reader is expected. If the ftrain of his narration ceafes, at any time, to be dignified, it is to re- move, by variety, what would otherwife become tirefome. Quaint ornaments in his ftile he rejects as deformities. To the approbation of the judicious, he cannot be fuppofed indifferent; but he ftforns thofe condefcenfions with which the herd of readers is pleafed*. A remark that is obvious and common finds no place in his narration ; and, from a fenfe of perfonal dignity, he would rather leave the more ignorant uninformed, than difguft the difcerning. His fenfibility to every moral fen- timent, not only detects the leaft fymptom of what is good or bad in human conduct, but is accompanied with an immediate approbation of the one and abhorrence of the other. He re- cords * INTELLIGES aftum hoc, ut tu fcires quid illi placeret, non ut ille placeret tibi. SEN. Ep. 100. So ESSAT upon the PRINCIPLES cords the truth as he finds it,, without magnifying the virtues of his friend,, or extenuating thofe of his enemy. Though POLYBIUS repeatedly compares that hiflory in which a due regard has not been paid to truth, to an animal without eyes, yet the comparifon does, in reality, fuggefl Tefs than may be affirmed *. An hiftorian without fidelity is worfe than ufe- lefs ; he is injurious to mankind. Upon the credit of his nar- ration, the happinefs of future generations may reft- By an er~ ror in point of fact, every philofopher may be mortified with circumftances, which, by confuting his theory, limit his ufeful- nefs, and impair his fame.. In fuch cafes,- however, the evil is perfonal. If fociety remains unenlightened, it remains alfo un- hurt j while, by an error in the hiflory of men, oppreflive efta- blifhments may be formed, and the happinefs of nations de- ftroyed. JUST feeling, then, in the mind of an hiftorian is the bafis of many excellencies. By means of it, his defcriptions become de- licate, his narration interefling, his manner dignified, and his fidelity unqueftionable. BUT, befides an acute and judicious fenfe of things that exift, a lively apprehenfion of fuch as are ideal is required of an hi'- ftorian. The intimations of feeling carry along with them a belief of the reality of their objects, while the fuggeftions of fancy are accompanied with no fuch fentiment. If judgment is required to correct that fenfibility which would otherwife be- come feverim, it is fully as needful, to correct that vigour of imagination, which, would end in extravagance. FROM the feverity of thofe attentions to truth, which no good hiftorian can facrifice, it may be underftood, perhaps, that ima- gination is a power, which he ought rarely, if at all, to exert. This, however,, is not the cafe. Imagination may be a dange- rous * 'On xaQxTif tyi^t^s tr*p«.ros -rut t^txn f%*tgf&i a%(t»iTt(i TO afar, «r*>s *£ Ifc£>tcs t»i etfii Of HISTORICAL COMPOSITION. 81 rous inftrument in the hands of the unwary, but it is a power- ful one in the hands of the judicious. He who relates thofe great tranfactions, in which the paflions of men have been in- terefted, muft enter into the fcenes which he defcribes, and muft {peak the language of thofe who bore a part in them. A cold narrative that is literally true would often be a falfe picture, Expreffion, befides, is as fufceptible of modifications as the fenti- ment to which it gives vent. During the influence of paffion, figurative language indicates the degree of emotion excited in the fpeaker, and ftimulates the hearer's feelings till they accord with his own. Even the illiterate fuffer no delufion by that play of fancy which gives energy to fpeech. They, as well as the learned, inftinctively ftrip the animated conception of what is adventitious, and interpret meaning with the moft precife ex- act nefs. ALTHOUGH the hiftorian, by the exertions of his fancy, may often introduce ornament with advantage, yet he muft beware of employing it to excefs. An impertinent profufion of beau- ties tallies not with that dignity of manner which he mould af- fume and maintain. It is either tfte fign of that flippant cha- racter, which is beneath him, or it is the refource of one, con- fcious of his own coldnefs, and borrowing from art the figns of that animation which nature has denied him. BUT imagination is of ufe to the hiftorian, not only when he is heated with his fubject, and thereby led to adopt figurative language, but alfb when he means to defcribe. The vivacity of thofe conceptions which he is able to excite in others may equal, but will never furpafs the vivacity of his own. By means of fancy, he can feize the circumftance moft character- iftic of each object. From a juft confcioufnefs of the laws of aflbciation in his own mind, he difcovers what thefe fhould be in thofe of others who have an equally correct tafte. By laying hold of one or a few circumftances wifely, he may pro- duce a very powerful effect. He may give exiftence to ani- mated defcription, inftead of a lifelefs, becaufe a verbofe detail. / THIS 82 ESSAY upon the PRINCIPLES THIS double ufe of imagination in the compofition of hifto- ry is perfectly confiftent with the definition at firft given of that power. There is always reality in the emotion excited by figu- rative language; but, at fome times, there is none in the fubject of it, and, at other times, the qualities of that fubject are not perceived precifely as they exift. A defcription, too, if rigidly interpreted according to the letter, would be virtually deftroyed. Principles ftrictly logical are not to be applied to terms deno- ting an exertion of fancy \ becaufe they carry along with them more or lefs latitude, according to the intention of the fpeaker at the time. The aggregate of thefe terms fuggefts fome what different from that which it naturally excites. It only begins the picture which the fancy of the hearer muft complete, and leaves that tafk to be performed by this delicate faculty, for which the powers of expreflion fimply are unfit. BY a fine imagination, then, the hiftorian's language acquires energy, and his defcriptions livelinefs. The power may improve his expreflion (we have found) without adulterating his matter. It may, in fome inflances, be too ftrong, and, in others, too weak. In either cafe, the feelings of the writer and the reader may be in unifon, without hitting their due pitch; and the high purpofes of language, as the inflrument of nice interpre" tation, muft be thereby defeated. IN die account already given of the powers of feeling and imagination, a reference has been made to another one, whofe province it is to control the exceffes of both. When the two former are feeble, the perfon in whom this is the cafe, muft, for ever, keep the rank which nature has afligned him. Na provifion is made for multiplying the avenues by which percep- tions can enter his mind, nor for increafing his power of form- ing ideal combinations of fuch as do. By means of judgment, however, luxuriance may be corrected, though deficiency can- not be fupplied ; and fuch a balance may be eftablifhed among the different powers, as will conftitute the perfection of each. JUDGMENT Of HISTORICAL COMPOSITION. 83 JUDGMENT ftands oppofed to feeling, as the operations of the latter are prior in the order of nature ; the one pafling fen- tence upon perceptions, which the other has previoufly furnifh- ed. It ftands oppofed to imagination, as there is belief in the reality both of the fubjecl and the decifion. Different, nay op- pofite judgments may be formed of one thing ; but, if fimple apprehenfions be different, their fubjecY cannot be the fame. TRUE judgment enables men to difcern both the truth of propofitions fairly dated, and the propriety of fentiment and conduct in every particular inftance. As the hiftorian's judg- ment is proved, not only by his reflections on the conduct of others, but by what he does himfelf ; fo the fir ft indication of the degree in which he pofTefTes this power is to be feen in his choice of a fubject. The rule in HORACE is alike applicable to writers of every kind : Verfate diu^ quidferre recufent^ t^uid valeant humeri *. Real abilities are generally accompanied with a juft notion of their extent. This confcioufnefs, at the fame time, renders nei- ther the pofleffor prefumptuous, nor the obferver jealous. True difcernment deftroys every thing like arrogance in the former ; and, where there is a clear fuperiority, men repine not at that fubordination in talents which nature herfelf has eftablifhed. ALTHOUGH the higheft abilities will make the moft of all hiftorical fubjects, yet, among thefe, there is fuch a difference as to give room for a judicious choice. Ordinary genius would be foiled where the moft diftinguifhed can beft mew itfelf. The difficulty of hiftorical fubjects depends upon the ftate of the facts to be recorded. When thefe are of very ancient or of very recent date, it tries the hiftorian's judgment, upon the one hand, to diftinguifh the fpurious from the genuine, and to make the moft of information that is perhaps but fcanty } and, upon the other, to fhun the odium of parties, without negledl- / 2 ing * HOR. de Arte Poetics, v. 39. 84 ESS4T upon the PRINCIPLES ing what he owes to himfelf *. He muft poflefs the fubtilty of the politician, whofe tranfactions he relates, fo as to perceive the intricacies of his character, and the mofl latent motives of his conduct. If he does, he will draw the picture with exactnefs j. if he does not, he muft miflead pofterity, for whofe benefit chiefly he profeffes to write. THE judgment exhibited in the choice of a fubject may be held a fecurity for the diftinct arrangement of all its parts. Cut lefla pot enter er'tt rett Nee facundla defer et huncy nee lucidus or do. When the hiftorian exhibits events that took place nearly at the fame time in different places, the diftinctnefs of his detail muft become manifeft as thefe multiply, and the difficulty of main^ taining a due unity in his fubject is thereby increafed. The disjointed record of a journalift deferves not the appellation of hiftory. That unity mentioned, too, is alike neceffary, whether the fubject be a fingle tranfaction in one ftate, (fuch asCATiLiNE's confpiracy), or the continued tranfactions of a nation. THOUGH the cenfure of DIONYSIUS of Halicarnaffus upon THUCYDIDES be fevere, it is not without foundation. In the opinion of that great critic, the attention of the hiftorian cannot be too much turned to this, ro n^viKun^ov f*fjo?, the nice ceconomy and divifion of his fubject. For the want of due order, no compenfation can be made, and every arrangement that breaks the detail improperly, defeats the purpofe of all arrangement, which is perfpicuity. The train of events recorded fhould be precifely that which took place j and the connection between caufes * To tamen jam nunc cogita, quse potiflimum tempora aggrediar. Vetera et fcripta aliis ? parata inquilitio fed onerofa collatio : Intadta et nova ? graves offenfae, levis gra- tia. Nam prater id, quod in tain is vitiis hominum plura culpanda Turn, quam laudan- da, turn fi laudaveris, parcus : Si culpaveris, nimius fuifle dicaris : Quamvis illud plenif- time, hoc reftriclifiime feceris. EI.IN. lib. 5. ef. 8. Of HISTORICAL COMPOSITION. 85 caufes and effects as difcernible in the hiftory as it before was in the fcenes to which it refers. An hiflorian's bufinefs, ac- cording to LUCIAN, is to relate things as they were done-*. The reader's experience is thus increafed, as if he had been ac- tually engaged in the affairs which he contemplates, and he be- comes prepared for occurrences by which he would have been otherwife embarrafTed \ . THE hiflorian's impartiality, which is a quality of the higheft importance, is always proportioned to the flrength of his judg- ment. Fidelity and impartiality are fometimes confounded, though the one is an attribute of the heart, and the other of the underftanding. An hiftorian of fidelity never means to de- ceive ; an hiftorian that is impartial is not apt to be deceived by circumflances that relate either remotely or immediately to himfelf. In the relations of the former, we look for what is ftriclly true ; in thofe of the latter, for fuch a flate of facls as exhibits no prejudices into which we and others are unable to enter. We condemn the want of fidelity, as leading to a de- figned violation of truth ; but we pity the weaknefs that would miflead involuntarily, and is biafled by circumftances that are purely perfonal. LUCIAN reqxiires of the hiftorian to diveft himfelf of every poflible ground of partiality ; " to have the in- " difference of a ftranger in judging of his own works ; to be of " no ftate ; to form his own laws ; to acknowledge no king, and ;< to fpeak the truth without regard to the opinion of parties J." BUT judgmeiit not only divefts the hiftorian of any unjuftifi- able attachment to what concerns himfelf, but enables him to fee even indifferent objecls in their true light. By means of this, he is difpofed neither to depreciate what is really important, nor to over-rate what is really mean. In examining the proba- bility * Ts 2u 'Zvyy^otlfw; tf/ev it, us ar^a^v nirnt. •J- OCCASIONES autem redeunt in orbem, et quod olim erat cornmodum rurfus adhiberi- et prodtfTe poteft. BACON di siug. Scient. lib. 2. c. 12. {, xx J awoAic, «t/TO»0(*o;j iSa If of. 86 ESSAY upon the PRINCIPLES bility of dubious events, ha is not fo credulous as to acquiefce in flight evidence, nor does he flubbornly reject fuch as fliould convince him. His mind, like a faithful mirror, reflects every thing precifely as it is feen. As his facts are genuine, fo his ob- fervations will be pertinent. Knowing, alfo, that men refufe the praife that is too eagerly courted, he will introduce his own remarks with caution, and will chufe rather to furprife with depth in the body of his detail, than to difappoint expectations that he had formally fummoned. My Lord BACON'S obferva- tion upon this part of the character of an hiflorian is judicious and happily exprefled : " Licet enim hifloria quaeque prudentior ; politicis praeceptis et monitis veluti impregnata fit, tamen ' fcriptor ipfe fibi obfletricari non debet*." JUDGMENT, then, in the mind of an hiflorian, befides giving the other powers their due value, is itfelf the foundation of ma- ny capital qualities. It enables him to chufe and to arrange his fubject, fo as to do moft juflice to his own abilities, and to give mofl inflruction to his reader. It fecures the fairnefs of his de- cifions, in fpite of thofe perfonal connections with which mofl men are blinded. It fuppofes fagacity in his opinions as to pafl things that are doubtful, and future things that are con- tingent. While it makes him view objects as they are, and fe- cures his reader againfl the impertinence of obfervations that are either trifling or mifplaced, it >eprefles the weak vanity that leflens the merit which it means to exaggerate. To one or other of the three powers, of feeling, of imagina- tion, or of judgment, (it fliould feem), all the qualities of a great hiflorian are to be referred. Induflry and preliminary in- formation hare been allowed to be neceflary ; but thefe tend only to do juflice to thofe primary powers. Nothing has been faid as to the principle of tafle ; becaufe, according to the ob- fervation of the ingenious author of The eflay xipon the fub- lime and beautiful, this is, in reality, no diflinct power, but is the refult of the whole of the powers fpecified when combined. The * BACON de Aug. Scient. 1. 2. c. 10. Of HISTORICAL COMPOSITION. 87 The characters of an author's ftyle, too, are fixed by thofe of his mind. It is delicate, lively and accurate, according to his fen- fibility, his fancy, and his judgment j and its comparative ex- cellence is determined by the abfolute ftrength of each power, and the general balance that fubfifts among the whole. AFTER attempting to eftablifh a ftanclard, by which the me- rit of any hiftorical work is to be tried, I mean now to apply it particularly to the writings of TACITUS. In doing fo, I pro- pof e to give examples that will indicate the ftrength of the three powers dated, taken feparately, and in the order in which they have been defined. After contemplating certain inftances, in which our author's fuperiority, with refpecl to each, will be evi- dent, others may perhaps be fuggefted, in which his greateft admirers cannot free him from cenfure. THOUGH it is difficult to determine which of the three powers mentioned predominated in the mind of TACITUS ', yet, from the nature of his fubjeds, his fenfibility was often exer- cifed in an uncommon degree. Inftances of this are fo nu- merous, that we muft felect a few only of the moft ftriking. Let us take that of the death of GERMANICUS, and of the ftate of his widow AGRIPPINA, in the end of the fecond and begin- ning of the third book of the Annals. THE fituation of GERMANICUS, juft before his death, (it muft be remembered), was fingular. He had long been the favourite of the Romans, on account of the agreeablenefs of his man- ners, and the high military character that he had acquired at a very early period of life. He was the adopted fon of TIBERIUS, who, having become jealous of his popularity, had called him from the conqueft of Germany, which he had nearly comple- ted. He was difmiffed from Rome, under pretence of fettling certain differences in the eaft. His conduct there was invidi- oufly watched by Piso, the governor of Syria, who was in the emperor's confidence. He was certain, when upon his death- bed, that he had been poifoned by Piso ; and, while he com- plains 88 ESS4T upon the PR INCIPL E S plains of the hardnefs of his fate, he conjures the friends who flood around him to avenge his injuries. " Non hoc prseci- " puum amicorum munus eft, profequi defunctum ignavo " queflu ; fed quae voluerit meminifTe, quas mandaverit exfe- " qui. Flebunt GERMANICUM etiam ignoti : vindicabitis vos, " fi me potius quam fortunam meam fovebatis. Oftendite po- " pulo Romano Divi AUGUSTI neptem, eandemque conjugem ' meam : numerate fex liberos. Mifericordia cum accufanti- " bus erit: Fingentibufque fcelefta mandata, aut non credent ' homines, aut non ignofcent." OUR author's defcription is not lefs delicate in the cafe of AGRIPPINA going on board a fhip for Rome, furrounded with her children, and carrying the afhes of her hufband. The fight of this feems to have affected the Spectators deeply, and the de- fcription is not lefs moving than the fpectacle. ; Miferan- " tibus cunctis quod femina nobilitate princeps pulcherrimo " modo matrimonio inter venerantis gratantifque afpici folita, " tune feralis reliquias finu ferret, incerta uhionis, anxia fui " et infelici fecunditate fortunse toties obnoxia." This laft cir- cumftance is very happily laidliold of. The number of AGRIP- PINA'S children, which was once a blefling, had now become a curfe. It only enlarged the mark at which the father of her hufband was to direct his malice. UPON her approach to the coaft of Italy, another fcene pre- fents itfelf, equally affecting, from the unfeigned fympathy of the fpectators, and the deep grief of AGRIPPINA herfelf. " Atque ubi primum ex alto vifa clams, complentur non mo- *' do portus et proxima maris, fed mcenia, ac tecta, quaque " longiffime profpectari poterat, mcerentium turba, et rogitan- tium inter fe, " Silentione an voce aliqua egredientem exci- perent." Neque fatis conftabat quid pro tempore foret : Cum clams paulatim fucceflit, non alacri ut adfolet remigio ; fed cunctis ad triftitiam compofids. Poftquam duobus cum li- beris feralem urnam tenens egrefTa navi, defixit oculos ; idem " omnium ' Of HISTORICAL COMPOSITION. 89 " omnium gemitus, neque difcerneres proximos, alienos, viro- " rum feminarumve planclus : Nifi quod comitatum AGRIPPIN.& " longo moerore fefTum, obvii et recentes indolore anteibant." THE death of Or HO, in the 48th chapter of the fecond book of the hiftory, prefents another fcene, in which the delicacy of our author's feelings is manifeft. In both cafes, by a previous narration, in which the art of the writer is judicioufly conceal- ed, he prepares the reader completely for thofe flrokes in which his genius is to break forth. OTHO, after the defeat of his army, is reprefented as defpairing of future fuccefs, and as having formed the refolution of putting an end to his exiftence. He announces this refolution to his friends, with fuch art, as at once to maintain his own dignity, and to move their compaf- fion. He reproves his nephew SALVIUS COCCEIANUS for dread- ing the vengeance of VITELLIUS, upon whofe generofity (he thought) he might throw himfelf with confidence ; and finimes his advice thus : " Proinde erec"lo animo capefTeret vitam, neu " patruumfibi OTHONEM fuiffe, aut oblivifceretur unquam, aut " nimium memtniiTet." THE exhortation of ^ENE AS to his fon ASCANIUS has been much admired : . Et te animo repetentem exempla tuorum, Et pater ^ENEAS et avunculus excltet HECTOR*. IN point of delicacy, in a fimilar fituation however, the hifto- rian has got beyond the poet. By the ufe of the adverb nimiutn, OTHO not only fugg efts to COCCEIANUS what the world would ex- peel from him as his relation, but delicately infinuates, that the remembrance of the xincle's virtues would furnifh no apology for the nephew's defecls. THE ftrength of feeling exhibited by TACITUS always keeps pace with the trying circumftances in which his characters are placed. Of this we have a ftriking example in the account given of the trial of SORANUS and his daughter SERVILIA, in m the * VIRG. JEo. xii. 439. 90 ESSAT upon the PRINCIPLES the 30th chapter of the i6th book of the Annals. During the many unjuil profecutions under NERO, SORANUS was accufed of intimacy with RUBELLIUS PLAUTUS, who had been banim- ed, and alfo of mifbehaviour as a proconful. His daughter, from (Irong affection to her injured father, had fold her clothes and jewels, in order to confult the magicians as to the event of his trial. On this account, the, too, was ordered to appear be- fore the fenate. " Igitur accita eft in fenatum, fteteruntque di- ' verfi ante tribunal confulum, grandis aevo parens ; contra fi- ' lia intra vicenmum setatis annum, nuper marito ANNIO POL- ' LIONE in exilium pulfo, viduata defolataqxie : Ac ne patrem ' quidem intuens, cujus onerafTe pericula videbatur. Turn in- ' terrogante accufatore, an cultus dotales, an detraclum cervici ' monile venum dediiTet quo pecuniam faciendis magicis facris ( contraheret ? Primum ftrata humi, longoque fletu et filentio, ' poft altaria et aram complexa ; " Nullos, inquit, impios deos, 1 nullas devotiones, nee aliud infelicibus precibus invocavi, ' quam ut hunc optimum patrem, tu CJESAR, et vos Patres fer- ' varetis incolumem. Sic gemmas et veftes et dignitatis infignia ' dedi, quomodo fi fangtiinem et vitam popofciflent. Viderint ifti, antehac mihi ignoti, quo nomine fint, qxias artes exerce- ant : Nulla mihi principis mentio, nifi inter numina fait. 1 Nefcit tamen miferrimus pater: Et fi crimen eft, fola deliqui." ' Loquentis adhuc verba excipit SORANUS proclamatque, " Non ' illam in provinciam fecum profeclam, non PL AUTO per setatem ' nofci poruiffe ; non criminibus mariti connexam ; nimis tan- ' turn pietatis ream, fepararent a fe quamcunque fortem fubi- " ret." Simul in amplexus occurrentis filiae ruebat, nifi inter- 1 jecli liclores utrifque obftitiflent." A BEAUTIFUL conteft is here prefented between the ftrong- eft parental and filial attachments. The defcription is the lan- guage of nature throughout. Every circumftance is carried its due length, without bordering upon extravagance. No tragic poet, whofe fancy is allowed a latitude which is denied the hi- ftorian, Of HISTORICAL COMPOSITION. gi ftorian, could exhibit even the fcene he had created, with more exquifite delicacy than TACITUS defcribes this that had actually taken place. BUT the fine'Hfeelmg of our author is apparent, not only upon fuch gloomy and fuch trying occafions as thofe mentioned, but in the more ordinary tranfactions of life. When HORTALUS, a defcendant of the great HORTENSIUS, applied to the fenate, as mentioned in the 38th chapter of the 2d book of the Annals, for an allowance to enable him to rear that family, which, at the command of AUGUSTUS, he had procreated, even the fervile fenators were mocked with TIBERIUS'S refufal. The emperor perceiving this, agreed to give a paultry donative to his male children. Some of the fenators indeed exprefled their thankful- nefs ; but HORTALUS was filent. " Egere alii grates ; filuit HOR- " TALUS, pavore, an avitae nobilitatis etiam inter anguftias for- ! tunae retinens." This lad conjecture, as to the caufe of HORTALUS'S ulence, could be formed only by a perfon delicately fenfible of what was due to himfelf. More than fufficient vio- lence had been done to the feelings of HORTALUS, when he con- /fefled his poverty and begged relief. The niggardly behaviour of TIBERIUS gave him a right to infult the emperor, and, by an expreflive filence, to tell him, in the face of his fenate, that though he had been forced to implore his bounty, yet he de- fpifed his character. That TACITUS was a ftrictly moral writer, and expreffed, at all times, the ftrongeft love of virtue and deteflation of vice, is evident throughout his works. A fenfe of his duty as an hifto- rian feems often to have forced him to relate what he would have wimed to conceal. He appears to feel for thofe miferies of others, which, as a rigid moralift, he allows to be the juft confequence of their vices. In the 6th chapter of the 6th book of his Annals, he defcribes TIBERIUS as completely wretched, and agrees with SOCRATES as to the caufe of this unhappinefs. '* Neque fruftra praeftantiffimus fapientiae firmare folitus eft, fi m 2 " recludantur 92 ESSAY upon the PRINCIPLES ' recludantur tyrannorum mentes, pofTe afpici laniatus et idlus ; ' quando Ut corpora verberibus, ita faevitia, libidine, mails con- ' fultis animus dilaceretur. Quippe TIBERIUM, non fortuna ' non folitudines protegebant, quin tormenta pecloris fuafque 1 ipfe poenas fateretur." THE high independence of fpirit pofTefled by TACITUS, may be inferred from what he fays both of himfelf and of others. In the 63d chapter of the ad book of the Annals, he condemns MAROBODUUS for continuing in exiftence as the prifoner of TIBERIUS. " Confenuitque multum imminuta claritate, ob " nimiam vivendi cupidinem." THIS fame independent fpirit is fometimes feen conjoined with his love of truth. As the reign of NERO was not very diflant from the times in which he wrote, of courfe, by attack- ing the fervility of the fenate, he muft have offended many peo- ple of the firft rank. Their difpleafure, however, he defpifed, when put in competition with his own honour and veracity. " Neque tamen filebimus, fi quod fenatufconfultum adulatione " novum aut patientia extremum fuit*." FROM the inftances quoted, it appears, that TACITUS pof- fefled, in no ordinary degree, thofe qualities of an hiftorian, that are dependent upon feeling. Few circumftances, from their minutenefs, could efcape his obfervation. He felt ftrong- ly the fined emotions, which the mofl trying lituations of his characters could excite. He was, at all times, the friend of virtue. A regard for poflerity feems chiefly to have prompted him to exert his powers as an hiftorian ; and, 'from the fame benevolent principle, he is always fcrupulcufly careful, not to affirm with certainty when there could be the leaft reafon for doubt. THE power of imagination, as we obferved, enables the hifto- rian to write with energy, by the proper ufe of figurative lan- guage, and to felect thofe figures that are the fitted for defcrip- tion. Upon examining the ftyle of TACITUS attentively, k will * Ann. 1. 4. c. 64., • Of HISTORICAL COMPOSITION. 93 will appear, that he ufes figures more fparingly than is com- monly imagined. Thovigh the general train of his narrative be nervous, yet few parts of it are highly embelliihed. The figures that he employs are ufed more frequently with a defiga to explain his idea, than to annoxmce the ftrength of his emo- tion ; and even when he has this laft purpofe in view, he often employs interrogations, and fuch other modes of fpeech, as are the ordinary language of paflion. FROM the juftnefs of TACITUS'S discernment, his fimiles are remarkably happy. They are, indeed, rarely,' but they are al- ways judicioufly introduced. It is, in every inftance, clear, that he had perceived the refemblance ftrongly and diftinctly him- felf ; and, by making the allufion, fome good purpofe is complete- ly ferved. Thus, to give a lively idea of the torpid indolence of VITELLIUS, in the 36th chapter of the jd book of his Hiftory,, he compares him to thofe lazy animals, which, when the calls of nature are fatisfied, have no other object of defire. " Sed um- 1 braculis hortorum abditus, ut ignava animalia, quibus fi ci~ ! bum fuggeras jacent torpentque ; praeterita, inftantia, futura ! pari oblivione dimiferat." The expreffion in the end of this fentence is both bold and happy. The term dimiferat intimates, a kind of activity even in the indulgence of floth ; and the term obliviOy applied to the prefent and the future, infinuates, that both perception and foreught were extinguimed, like the impref- fions of memory when effaced. ONE of the boldefl, and, at the fame time, one of the hap- pier! figures to be found in TACITUS, is that at the end of his life of AGRICOLA. It is, at once, an inftance of the profopo— peia and the apoftrophe, as it fuppofes life in his father-in-law who was dead, and gives prefence to a perfon who was abfent. The high refpect entertained for the memory, and the deep grief felt for the death of AGRICOLA, juftified the ufe of thefe. bold figures ; and, as they are introduced with propriety, _,fo> they are fupported. with the utmoft art. " Tu vero felix, " AGRICOLA. 94 ESSAY upon the PRINCIPLES ' AGRICOLA non vitae tantum claritate, fed etiam opportunita- ' te mortis. Ut perhibent 'qui interfuerunt noviffimis fermo- ' nibus tuis, conftans et libens fatum excepifti, tanquam pro " virili portione innocentiam principi donares. Sed mihi filias- " que prseter acerbitatem parentis erepti, auget mceftitiam, quod " aflidere valetudini, fovere deficientem, fatiari vultu, complexu, " non contigit. ExcepifTemus certe mandata vocefque, quas *' penitus animo figeremus. Nofter hie dolor, noftrum vulnus : " Nobis tarn longaj abfentiae conditione ante quadriennium " amiflus es. Omnia fine dubio, optime parentum, aflidente " amantifTima uxore, fuperfuere honori tuo : Paucioribus tamen ' lacrymis compofitus es, et noviffima in luce defideravere ali- " quid oculi tui." THE delicacy, joined to the ftrength of painting, which is difcernible in the pafTage now quoted, {hows fufficiently, that though TACITUS employs figures feldom, yet his doing fo arifes from no defect in his powers. The frequent ufe of thefe is, in fact, a ftratagem to which writers of ordinary genius feel themfelves driven. They wifh to borrow a device from art, to conquer a barrier eftabliihed by nature. For a device of this kind, TACITUS had no occafion. The ordinary train of his narration is fufficiently animated to fummon and to retain his reader's attention ; and, when he chufes to leave this train, he knows perfectly how to rife with propriety, and to defcend without falling. THE inftances of fine defcription are fo numerous in TACI- TUS, that it is not eafy to determine which ought to be fe- lected. In all his attempts to defcribe, brevity is ftudied. When he defcribes the plague at Rome, in the 1 3th chapter of the 1 6th book of his Annals, he employs a few fentences, but each fentence is full of meaning. " Omne mortalium genus " vis peftilentiae depopulabatur, nulla caeli intemperie quae oc- " curreret oculis. Sed domus corporibus exanimis, itinera fu- " neribus complebantur. Non fexus, non aetas periculo vacua. " Servitia Of HISTORICAL COMPOSITION. 95 " Servitia perinde ac ingenua plebes raptim extingxii, inter con- " jugum et liberorum lamenta, qui dum amdent, dum deflent, " fsepe eodem rogo cremabantur. Equitum fenatorumque inte- " ritus, quamvis promifcui, minus flebiles erant, tanquam.com- ' muni mortalitate, faevitiam principis praevenirent." THIS defcription we muft own to be inferior to that of the plague at Athens by THUCYDIDES* But the Greek hiilorian (it muft be remembered) had fuffered from the difeafe himfelf ', had feen its direful effects, combined with thofe of war j and had refolved to enumerate its fymptoms, for the benefit of po- fterity, in the courfe of fix chapters. TACITUS means to relate only what he had heard. He does not feem to have copied THUCYDIDES ; though he, too, mentions, that numbers of car- cafes lay neglected in private houfes, upon the ftreets, at the fides of fountains, and in the temples. " 'o $»%&> t ' a\>.a xai i/ixjoi or aAXnXcif «,ir r»t( o^oi; T»J TK VdKTOS tVtVVfMK. TOt, Tf I irXix w, aura fvan-oSuKrxovTw* *." LUCRETIUS, in the defcription he gives of the plague at the end of his fixth book, has copied THUCYDIDES clofely, but feems to have come fliort of the fimplicity and mafterly ele- gance of the hiftorian. THE iituation of OCTAVIA, after her divorce from NERO, forms one of the moft highly finimed defcriptions in the writings of TACITUS. After the tyrant had efpoxifed POPPJEA, under the appearance of gratifying the wifhes of his people, whofe re- fentment he in fact dreaded, he took back his injured wife. By the arts of POPPJJA, however, which were fkilfully direct- ed againft his weaknefles, he difmiffed OCTAVIA again, and bribed one of his minions, to fcreen his injuftice, by declaring that flie had been guilty with him. Upon this, the innocent OCTAVIA was banifhed to the ifland of Pandateria, and the fen- timents of the fpectators upon this undeferved feverity, are the ground of the defcription mentioned. " Non alia exfulvifen- "" tiuoa. XI?. A, 96 ESSAY upon the PRINCIPLES *' tium oculos majore mifericordia affecit. Meminerant adhuc " quidam AGRIPPIN^E, a TIBERIO, recentior JULI^; memoria " obverfabatur, a CLAUDIO pulfae. Sed illis robur astatis af- " fuerat. Laeta aliqua viderant, et praefentem faevitiam me- " lioris olim fortunae recordatione allevabant. Huic primus *' nuptiarum dies loco funeris fuit, dedxiclae in domum, in qua ** nihil nifi lucluofum haberet, erepto per venenum patre, et " ilatim fratre. Turn ancilla domina validior. Et POPPJEA " non nifi in perniciem uxoris nupta. Poftremo crimen omni " exitio gravivis *." THIS defcription is as artful in facl, as it is artlefs in appear- ance. The circumftances faid to move the companion of the fpeclators, are marked with wonderful judgment ; and the beautiful climax exhibited in the arrangement of them, pro- duces a very uncommon effecl. Their feelings firft reft upon the difference between the fituation of OCTAVIA, and that of other women of diftinclion who had been fubjecled to the like fate. They next reft upon her perfonal difgrace, as an emprefs, becoming fubjecl; to a fervant ; next upon the immediate de- fbruclion threatened her by this marriage of POPPJEA ; and laft of all, upon the falfe accufation of having been unfaithful to her hufband, and guilty with a mifcreant, which no form of deftruclion could equal. The conditions upon which the fancy operates fuccefsfully are here fulfilled. It has full room to work, and its exertions are not clogged by an unmeaning ver- bofenefs. FROM fulfilling the conditions now mentioned, THUCYDIDES has acquired immortal honour by his defcription of the retreat of the Athenian army, in the yth book of his Hiftory. The barbarity of the conquerors and the diftrefs of the vanqxuihed appear equally incredible, though a few circumftances only are employed to fuggeft thefe. During the paffage of the Athenians over the river Affinarus, from the extremity of fa- tigue * Ann. 1. 14. c. 63. Of HISTORICAL COMPOSITION. 97 tigue and of thirft, they feem driven to a kind of frantic de~ fpair. Though the ftream in which they then flood was pol- luted with mud, and with the blood of their countrymen, yet they are reprefented as fighting about the water in this corrupted ftate. " K«I TO uVwj Eu9uj they exprefs no more than a fpecifying circumftance annexed to the other proposition, " I came ;" and, whenever they are rightly apprehended by the mind, they are ftript of their propofitionary form, and Slated abJlraElly under a new phafis — his departure. Thus confidered, then, the two pro- pofitions are fynonymous in every refpect, excepting the apparent grammatical nature of the words — his departure, and — he departed ; and even thefe are reduced to one grammatic form in the mind, whenever the import of the propositions is rightly apprehended. FROM thefe obfervations it Should feem that there is no fuf- ficient reafon for claSIing the word AFTER, in the one cafe, with the Prepojitions, and, in the other, with the Coajunffioaj ; Since, by the feeming change of its regimen, no real change is made, ei- ther in its grammatical nature, or in its Signification. OF this unphilofophical method of arranging the fame words in diSFerent claSTes, I Shall mention two other inftances, chiefly with a view to prepare the way for a conjecture which I am to oSFer with regard to the nature and import of one of the Greek particles ; which inSlances will ferve to illuftrate and confirm that conjecture, and will, in their turn, be illustrated by it*. I. THE EngliSh prepofition TO is very variously applied. Be- ing extremely general in its Signification, it is confequently ca- pable of various fpecial applications. One of its fpecial ufes is to mark addition TO. Thus DENHAM, " Wifdom he has, and, TO his wifdom f, courage j " Temper TO that, and, unTO all, fuccefs." In this example, every fucceeding circumstance is, by the pre- pofition * IN the progrefs of the effay, it will appear, that the reafoning proceeds upon an analogy much more ftridt and clofe than here it feems to do. •f I1PO2 T>! 8-opMt. 'The Latin AT, and the Greek AE. 115 pofition TO, marked as an addition to the preceding. " Wifdom *' he has, and courage additional to his wifdom," &c . In this ac- ceptation of the word TO, the object which it governs, or to which it marks fomething elfe as added, is frequently not ex- preffedy or not formally ftated along with the prepofition, The reafon is, that it readily occurs to the mind, being mentioned in the context immediately before. Thus DENHAM might, with equal propriety, have faid, " Wifdom he has, and courage TOO," Esfr. This mode of expreflion would have been more concife and equally intelligible as the other, " Wifdom he has, and cou- ' rage TO bis uvifdom" &c. NOT only is the object governed by TO omitted, when it is reprefented by a noun fubftantive in the context, but alfo when it is involved in a propofition. Thus Mr POPE, " Let thofe eyes that view The daring crime, behold the vengeance TOO." So " He made him prifoner, and killed him TOO." In the one example, the circumftance of beholding the vengeance is ftated as an addition to the viewing the crime ; and, in the other, the killing him is ftated as an addition to the making him a prifoner. In both examples, the object governed by TOO is not formally ftated ; and, in both alfo, it is involved in a preceding propofition. It is the amount of that propofition taken abftraclly, or as a Noun fubflantive. ALTHOUGH all thefe ufes of the word TO are really one and the fame, differing in nothing but this, that the object: govern- ed by it is, in fome of them, exprejjed^ and, in others, not expref- fed\ yet the grammarians have confidered them as different, and have claffed TO, in the one cafe, with the Prepofitions, and, in the other, with the Conjunctions, or with the Adverbs. This circumftance, together perhaps with the accented pronunciation p 2 o'f n6 On the Englijh Conjunction 700, of TO, when the object governed by it is not exprefled, has given rife to a difference in its orthography, the writing it with two Os inftead of one. And the two words have ultimate- ly come to be univerfally considered as different, infomuch that even the fuppofition of their being the fame is not likely to be liftened to without prejudice. IN the parent Saxon language, however, both ufes are com- prifed under one form, to ; and, even in the Englifh, as late as the reign of Queen ELIZABETH, they were both written with one 0. This appears from the fpecimens prefixed to Dr JOHN- SON'S Dictionary, as a hiftory of our language previous to that period. Thus, Sir THOMAS MORE, fpeaking of fortune and one of her quondam favourites, ' She glydeth from hym, and her giftes TO ; ' And he her curfeth, as other fooles do." And to the accented pronunciation of TO, when its object is not exprefled, that is, by no means, a fufficient reafon, either for claffing or for writing it differently, being a circumftance common to it with every prepofition whatfoever. All of them, when their objects are expreffed, may be accented or not accent- ed, according to the meaning, or fhade of meaning, intended to be conveyed. But, when their objects are not exprefled, they are commonly * accented : " To fland by" " to come e«," ' to " run ///," " to rum out" &c. FROM thefe obfervations, it mould feem, that the word TOO, though generally confidered as different, and though ranked by grammarians in a different clafs of the parts of fpeech, is really the fame with the prepofition TO, in its fpecial meaning of ad- ditional to. This has been fhown from the famenefs of their meaning and ejfecj^ as well as of their original orthography, and the * IN facl: they are always accented, though their accent may fometimes be obfcured by an equal or fuperior accent given to an adjoining word, as, " He did not walk in,. *• hut rujhtf in," The Latin AT, and the Greek A E. 117 ^ the circumflances of apparent diverfity have been accounted for. This, then, I think, may be fairly admitted as one inftance wherein the various clafling of the fame word, founded on im- perfect and partial views, tends to deceive, by leading us to fuppofe gramma tic differences which are not real, and to confider words as different, when they are really the fame. II. I SHALL fubjoin a fimilar example from the Latin lan- guage. The Latin prepofition AD, like the Englifh TO, is ex- tremely general^ and confequently capable of various fpecial ap- plications. One of thefe is to mark one object as added to ano- ther *. " AD hoc, promiffa barba et capilli efferaverant fpeci- " em oris f-" " Additional to this, his long beard and hair ' had given a wildnefs to his afpect." BUT the object governed by AD, when ufed in this fpecial meaning, is often not expreffed, or not formally ftated ; and, in that cafe, like the Englifh prepofition TO, AD is claffed with the conjunctions, and written differently, AT. Thus, as ABS, compounded with que, produces AB&que, fo AD compounded with que produces ATque, i. e. \vque. " BRUTUS ATque CJES AR," " BRUTUS and C^SAR TOO ;" " BRUTUS, and CESAR addi- " tional to BRUTUS." " C^SAR DUMNORIGEM cepit, ATque in- " terfecit." " CESAR made DUMNORIX prifoner, and killed him " TOO." In this example, \ih& killing DUMNORIX is ftated as added to the making him a prifoner. In thefe examples, it is evident, that AT marks one object as added to another, and differs from. AD, when ufed in the fame fpecial meaning, in nothing but the fupprejjing of the object governed by it. EVEN when AT appears by itfelf, and without que fubjoined, it feems to be fometimes ufed in the fame fpecial meaning. Thus TERENCE, — " PH. Fac, ita ut juffi, deducantur ifti. " PA. * Added to — where accumulation only, or the increafe of number or magnitude, is at- tended to. •f- Liv?. liS On the Englijh Conjunction 'TOO, " PA. Faciam. PH. AT diligenter. PA. Fiet. PH. AT ma- " ture*." By the means of AT, the circumftances of dili- gence and hajle are fupsradded to the action commanded. " PH. It " is not enough that you do it, you muft do it carefully TOO. " PA. Well; it mail be carefully done. PH. In good time TOO." BUT further : Another of \\\t fpecial applications of the prepo- lition AD, is to mark one object as united or joined to f another, and that, too, whatever be the nature of the objects, whether they be fuch as are commonly united, or fuch as appear incongru- ous^ and whofe union is contrary to expectation. Of the firft kind is this example from LIVY : " AD imperium. dictatoris, " cuncta mota acies ;" " Joined TO the command of the dictator, " the whole army was in motion" — /'. e. " AT, the command," &fr. In this example, there is nothing incongruous in the ob- jects united ; their union is even confidered as neceflary, the movement of the army being joined to the command of the dictator ; as an ejfetl to its canfe. Of the fecond kind is the following in- ftance : " AD imperium dictatoris, difcedere nolebant ;" " AT " the command of the dictator, they refufed to depart." In this laft example, the fentence is conftructed in the fame manner as in the other. Two events are reprefented as conjoined, a refufal to depart and the command of the dictator ; and the fame prepofi- tion AD is employed to mark their union. From our knowledge, however, of the power vefted in the Roman dictator, we per- ceive, that thefe events are, in fome meafure, incongruous, and their union confeqxiently unexpected. And this perception of incongruity in the objects united leads us to give to AD the force, not of TO fimply, but of TO with emphafis, or EVEN TO. " Joined EVEN TO the command of the dictator, they refufed " to depart" — /. e. " EVEN AT the command" &c. Now it is in this laft manner, viz. to mark the unexpected union of incongruous objecJs, that AD, when the object which it governs is * Eun. Ad. ii. Sc. i. f Joined to, in refpeft of time, as caufe and e/etf, &c. The Latin 4?, and the Greek AE. 119 is not formally dated, /'. e. AT, the conjunction, is moft common- ly applied, " Aulam tyranni frequentabat, AT patriam amabat ;" literally, " He frequented the court of the tyrant ; joined EVEN " TO that, he loved his country." " He was a courtier and a " patriot TOO." By means of AT, the circumftance of loving his country is ftated as united /o the other, viz. his frequenting the court of the tyrant. — The character of a patriot is reprefented as united to that of a courtier in the fame perfon. CICERO, in his addrefs to CJESAR in behalf of MARCELLUS*, has the following fentence : " Nihil eft opere aut manu fadum, " quod aliquandononconficiat et confumat vetuftas ; AT vero haec " tuajuftitiaetlenitas animi florefcet quotidie magis." Here firft one truth is ftated — " There is nothing made by the labour or " hand of man which length of time may not wafte and deftroy." Then, by means of AT, another circumftance is ftated &s joined EVEN TO this truth, viz. " That CESAR'S juftice and gentlenefs " of difpofition lhall flourim every day more and more." It is r\otjimply aflerted, that " CESAR'S juftice fhall flourim," but that it fhall flourim, conjoined even to the truth of the other po- fition — " That every work of the hand muft perim" — a pofition which we conceive to be almoft incompatible with it. Inftead of AT vero, CICERO might have ufed AT tamen. " Every work " muft perifh, yet JOINED EVEN TO THAT, your juftice fhall " flourim." The former circumftance lhall not prevent the truth of the latter. In thefe, and in all fimilar examples, the two objects or events, however incongruous they mnyjeem to be, are actually united ; and of their union, AT appears to be the fymbol f. THE * Cap. 4. •J- THE frequent application of AT, to mark the union of incongruous objefts, firft gave rife to the habit of annexing an emphatic meaning to it ; and, when once this habit was form- ed, the word neceflarily raifed an expectation of fomething incongruous to follow. And hence it has come at laft to be miftaken for a fymbol of incongruity or oppofition. IT would be difficult to collect examples of all the various applications of the word AT, that may be met with in the Latin authors. In thofe, however, that moft frequently occur, J20 On the Englt/h Conjunction TOO, THE word AT is indeed called an adverfative, and is common- ly imagined to mark, not the union, but the oppofition of objects. But, i. THE authority of QUINCTILIAN is explicit in favour of our hypothefis. In treating of the Latin orthography, he has the following obfervation : " Ilia quoque fervata eft a multis " differentia, ut AD, quum effet prcepofitioy D literamj quum " autem occur, it is evidently expreflive, not of oppojttion, but of union. When there is no incon- gruity in the objeds united, and confequently nothing unexpected in their union, the ef- fect of it will be perceived by rendering it TO fimply ; and, when the objects united ap- pear incongruous, by rendering it TO with emphafis, or EVEN TO. I. To fimply — as in the form of furrender recorded by LIVT, [Lib. I. cap. 38.] 41 Deditifne vos populutnque Collatinum in meam populique Romani ditionem ? De- " dimus. AT ego recipio ;" " Joined TO that, I receive them." ET might have been ufed in this inftance. In imprecations, and the like, it reprefents the amount of the prayer, as joined to an aclion mentioned, perceived, dreaded, <&'r. i. To an aflion men- tioned; as in TERENCE ; " CH. Faftum eft hoc, DAVE ? DA. Fadtum. CH. Hem ! quid " ais,Scelus ? AT tibi dii dignum fadis exitium duint !" 2. To an action perceived ; as in VIRGIL, when PRIAM, upon feeing his fon killed by PYRRHUS, exclaims : " AT tibi pro fcelere, exclamat, pro talibus aufis, " Di, fi qua eft ccelo pietas, quae talia curet, " Perfolvant grates dignas, et prsemia reddant " Digna, — qui nati coram me cernere letum " Fecifti, et patrios fcedafti funere vultus." [jE/i. ii. 535.] II. EVEN TO — as in TERENCE ; " Si ego digna hac contumeM fum maxime, AT tu •" indignus qui faceres tamen ;" " Joined EVEN TO that, it was unworthy of you to do 41 it." So when CHR.EMES, after he has heard many circumftances tending to prove that PAMPHILA is his daughter, fays, " AT mihi unus fcrupulus etiam re.ftat." " Joined EVEN " TO [what I have heard] there ftill remains one difficulty." i. e. " All I have heard is "" not fufficient to remove it." It is afed precifely in this manner, when it introduces an objeElion, or the anfwer to an objeEiion. I. An objeElion ; as in CICERO pro MILONE j " AT valuit odium, fecit iratus, <&c." " Joined EVEN TO [what you have faid] his hatred " got the better of him, he a&ed from paffion :" i. e. " For all that you have faid," &T. " All that you have faid does not hinder the deed to have proceeded from hatred or paf- " fion." 2. The anfwer to an objeElion ; as, " Domus tibi deerat ? AT habebas. Pecu- *' nia fuperabat ? AT egebas." " You will fay you wanted a houfe ; joined EVEN TO " that, you had one," ire. It is ufed in this manner too, when it introduces the circum- Jlances of an action which tend to heighten our furprife. " Vidit CLODIUS necefle efle " MILONI proficifci Lanuvium illo ipfo, quo profeftus eft, die ; itaque antevertit. AT " quo The Latin A T, and the Greek AE. 121 " autem conjunftio, T acciperet *." From this paffage, it is evi- dent, that the conjunction AT was originally written AD : That the difference in their orthography, though obferved by many, was not, at that time, univerfally obferved ; and that this dif- ference was introduced to diftinguifh the conjunction from the prepofition. The fortune of the Latin AD appears, therefore, to have been fimilar to that of the Englifli TO. Both of them are prepofitions, and of the fame fignification. Both of them, when the object which they govern is not formally flated, have been reckoned conjunctions; and, in both, a difference of ortho- graphy has at laft obtained to diftinguifh the conjunction from the prepojition. 2. THE proportions, whereof AT is faid to mark the oppofi- tion, are both of them true, and they exprefs truths which are co-exigent. They cannot, therefore, be oppofite in one of the acceptations of that term. They may be apparently incompati- ble, but they are not really fo. Thus, in the example formerly mentioned, " Aulam tyranni frequentabat ; AT patriam ama- 1 bat," — the two characters of courtier and patriot, however in- congruous they mzyfeem to be, are reprefented as united in the fame perfon. Considering the matter a priori, then, it feems reafonable to imagine, that, on fuch occafions, a term would be employed to mark the union, which is uncommon and unexpebled, rather than the oppofition or incongruity , which is apparent. Ac- cordingly, we find, in fact, that thofe of the conjunctions call- q ed " quo die ? Quo, ut ante dixi, infaniffima concio ab ipfius mercenario tribuno plebis eft " concitata : Quern diem ille, quam concionem, quos clamores, nifi ad cogitatum facinus " approperaret, nunquam reliquiflet }" — " On what day, TOO ?" ture. " AD imperium dictatoris difcedere nolebant." " EVEN " AT the command of the dictator, they refufed to depart." Now, in this lad example, and in every other of the fame kind, by varying the dructure of the fentence, AT may be in- troduced indead of AD, without even the flighted variation in the meaning. " Dictator imperabat ; AT difcedere nolebant." Wherein, then, does this lad mode of expremng the idea dif- fer from the former ? In the former, the dictator's giving the command is not afferted ; it is prefuppofed, and appears only in the abjlraft form of imperium ditlatot is, governed by AD ; where- as, in the latter, it is formally ajjerted ; " DicJator imperabat •" but the abflracJ amount of the afTertion, viz-. " imperium diRatoris" is not repeated as the object governed by AT. In the one, the formal offer tion is omitted ', and the abftraEl amount of the affertion is expreffed '; in the other, the abjlracl amount is omitted, and the formal ojfertion is expreffed. In thefe circumstances, and in thefe only, the two modes of expreffion feem to differ. FROM the preceding obfervations and examples, it appears, that AT is nothing elfe but the prepofition AD, taken in the fpe- cial meanings — added to — joined to, and not having the object which it governs formally expreffed ; and that however oppolite the objects may appear to be which it unites, yet it does not exprefs their oppofition. THE word AT, as it denotes addition, might, indeed, be €on- fidered as implying difference ; for if an object is dated as ad- ditional to another, it mud be at lead numerically different from that other. And, indeed, AT agrees with the Greek «AA«, the Latin caterum, and the~French mais, in this refpect, that all of them imply difference, but none of them oppoftlion. The lad of them particularly, mais, (inagis], like the Latin AT, implies difference, only becaufe it denotes addition. WE have now feen, that the Englifh TOO and the Latin AT, are really the fame with TO and AD ; that they are, in truth, nothing 126 On the Engli/h Conjunction TOO, nothing more than fpecial applications of thefe ; and we have mown on what thefe fpecialities depend, and that their effect in a fentence is actually fuch as, by their original fignification, they may be fuppofed to produce j or, what amounts to the fame thing, that the effect of them may be fatisfactorily ex- plained, by reforting to their proper and primitive fignification. III. LET us next enquire, whether the preceding obfervations can throw any light on the nature and import of the Greek par- ticle AE, for the fake of which, chiefly, they have been premifed. 1. THIS particle is, not uncommonly, found after the accufa- tive cafe of proper names of places, when motion TO thefe places isexpreffed. " IA,<*AE,"— " To Troy," fcfr. 2. NOT only is it thus affixed to proper names, but alfo to common, or appellative, nouns, and in the fame fenfe ; " eix«AE," — " To a houfe." " «yo?^AF.,"— " To the forum." " «A«AE,"— " To the fea," fcfr. 3. IT is not affixed to the accufative fingular only, but fre- quently alfo to the accufative plural, " e»x«AR." When, how- ever, the accufative plural ends in j, it is often difguifed by a tranfpofition, the letters S and t£i»- " A " — literally, " Do not fpeak to flight." Let not your fpeech tend to flight ; let not flight be the objeEl, or final caufe, to -which it is directed. The Latins ufe ad, and the Englifti to, in the fame manner. " Hoc fecit ad honorem meum," — " He did " this to my honour ;" where his doing this is, in like manner, confidered as tending to my honour. THE * Iliad. «'. 252. The Latin A'Tt and the Greek AE. 127 THE word AE was, indeed, but feldom joined with an accu- fative cafe by the Attic writers, and only in fome expreflions which the grammarians confider as adverbial. May we not, however, conclude from the facts juft now ftated, that, with the more early Greeks, and even with HOMER, it was conuder- ed as a prepofition governing the accufative, and equivalent to the Latin AD, or the Englifh TO ? It is, indeed, always put af- ter the noun which it governs ; but that makes no difference as to its real grammatical nature : For though a pre-poCition put af- ter^ is, in truth, a contradiction, yet it is no uncommon occur- rence in moft languages. The Latins ufe nobif-cum, tantif-/ter, &c. and we there-/*?, where-/e, and others fimilar. Thefe laft alfo our grammarians confider as adverbs ', but they are com- pound words, in which the prepofition TO is palpably one of the component parts. And the facts before ftated render it, in fome degree, probable, that the Greek AE is fometimes, in like manner, a prepofition put after the word which it governs, and equivalent to TO. ON this hypothefis, then, that AE is a prepofition fignifying TO, it is reafonable to imagine — i.That, though it is, in itfelf, extremely general^ yet, like the correfponding word in other languages, it may be ufed in the fpecial meanings of —added to — -joined to, 8cc. And — 2. That the object, governed by it, may be not formally ftated, but left to be collected from a preceding noun or prepofition. In fhort, that it mould follow the fame ana- logy of application as the Latin AD and the Englifh TO, when they are called conjunctions. Accordingly we find, that it does ib in fact. When ULYSSES, in the pth book of the Iliad, enu- merates to ACHILLES the prefents intended for him by AGA- MEMNON, he does it in this manner : " ryw TCI ** \TT' aTrufSf TfiTroJa;, Sixa. AE p . ** AlSMM AE Atj3ri]aj taxoai, StaStKo, A! i *• v- 26 128 On tie Englijh Conjunction 7" 00, In this example, by means of ft, each fucceeding article is re- prefented as TO, /. e. additional to the preceding article. " Se- " ven tripods — ten talents of gold TOO" — /'. e. " Ten talents of " gold additional to the feven tripods." This inflance is pre- cifely nmilar to that formerly qtvoted from DEN HAM, except that the object governed by ft, and to which the fucceeding article is added, is not repeated along with Si. In DEN HAM it is, " Wifdom he has, and, TO bis wifdonl, courage" — which, if expreffed according to the Greek idiom, in the exam- ple quoted from HOMER, would be, " Wifdom he has, and courage TOO." In the above example, then, the word ft is ufed in the fpecial meaning of additional to, and the object which it governs is not formally Jlated, but is collected from a preceding noun. Again, XENOPHON, defcribing the Perfian polity, fays, — " AiJa«s' It fent many brave fouls to PLUTO before their time"" and, by the means of $, the lafl event is reprefented as additional to the former. " It fent, TOO, to PLUTO many brave fouls of he- " roes." In this example, alfo, the object governed' by SI is not exprefled. It is, however, obvioufly fuggefted by the con- text ; being the amount of the preceding propofition taken ab- Jlraftly, or as a noun fubftantive. It is unneceflary to multiply examples. Every page of every Greek author abounds with them ; for of this kind are all. thofe in which the fenfe. leads us- to render & — and. BUT i\ is often faid to denote oppofttion. In truth it never does. In this refpect it agrees exactly with the Latin AT. The events which it unites may appear oppofite ; but St does not in- timate their being fo : It only marks the one as added, or united, to the other. This I am warranted: in affirming, by the autho- rity of the learned, ingenious, and mod laborious HOOGEVEEN, an authority that will not be queftioned, at leaft as to the fatfs of the Greek langxiage. His word& are : — " A« ponitur et pro 1 AAAA Sun-fog jjca x«i EKa*1iwjua]ixu, five MEN prsecedit, five non. vel ' pottus dicam fententise diverfse aut adverfanti additur, ita ut 1 vicem T» AAAA explere videatur ; non enim ipfi particula Si ea ** poteftas attribuenda eft, fedfententia cui apponitur *." FURTHER, — That the fame word mould be employed to de- note fometimes the union, and fometimes the oppofttion of objects, is a fuppofition, in itfelf, extremely improbable ;, becaufe, in that cafe, the nature of the objects themselves could alone de- termine which of thefe fignifications we ought, in any particu- lar inftance, to affix to it ; and, if fo, their opposition might be difcovered without the help of this ambiguous fymbol of it~ At, indeed, like the Latin AT, is often employed to mark the union of incongruous objects ; and, like AT too, it has then been imagined to exprefs that oppofition which it only prefup- r pofesr- * Doftr. Particul.-L. Gr. p. 245, 130 On the Engli/h Conjunction TOO, pofes. Thus, when ORESTES, in EURIPIDES, makes the follow- ing obfervation — AE oux t%xfw ot *Oi in ii it is faid, that ft ftates an oppofition between the name and the reality of friendship : But, when the obfervations formerly made on AT, and the fignification of S\, afcertained by the preceding examples, are taken into confideration, it feems much more reafonable to fuppofe, that, even here, it retains its proper fig- nification of union. Literally thus — " For the friends that are ' not friends in adverfity have the name of friends, not the reality ( TOO." " Nomen, AT non rem habent." Two propofitions in facl are ftated, viz. " That the friends that are not fuch in * adverfity have the name of friends ;" and fecondly, " That *' they have not the reality :" And, by the means of Si, inti- mation is given, that — (whatever might have been expecled) the latter is united to the former. This feems to be the precife meaning of the paflage ; and it is elicited without depart- ing from the known fignification of <&. Let us take an exam- ple ftill more ftriking. Suppofe that it is faid of a perfon — " wli JUEV not, ii1 an extent of military fervice,. much beyond what they owed to their country, in common with the reft of the nation.. BUT however much this practice may have added to the powers of the magiftracy, or whatever revolutions in government it afterwards produced., there is no reafon to imagine, that, in early * IN Sweden, the towns, hundreds, and. provinces had/eac'oof them commons, bearr ing refpe&ively the technical names of -lamfalt, haradzalmaining, and land almaining^ grants of which tvcre obtained from the chief magiftf atcs, vix. lagman, hereda, The EUROPEAN LEGISLATURES. 143 celebrated in the fpring, previous to a military expedition ; to which, I apprehend, they, in the fame manner as in the moft ancient times, were a iieceffary prelude *. On thefe occanons, the name of placitum exerdtale is often afcribed to them, while the term placitum fimply is attributed to all diets without ex- ception, where judicative and political authority was ex- ercifed. This circumftance itfelf looks as if thefe affemblies had differed only in their objecl. The power and means of convoking them, and die perfons that they confifted of, muft have been the fame in both ; and, without deliberative powers-, we cannot conceive any thing more abfurd than to have beftow- ed the name of placitum on an affembly of the national force. BUT, though we have no particular defcription of the Me* rovingian placita, or malla f , we find every where evidence^ that all affairs of confequence were tranfacted in them. Tha may or of the palace was chofen in them '$.; differences among the royal family, and with foreign nations, were decided in them |j ; and the Salic law feems to have owed to them its fanclion §. UNDER * See PEPIN'S Expediton to Italy. FreJeg. Clran. Contia. •f- MAEL, in German, an aiTembly or^convivium. J Fredeg. Chron. cap. 43. et 89. And, I apprehend, the kings themfelves likewife.. In a difpute between CLOTAIRE II. and the children of THIERR.I, CLOTAIRE makes this reply to an embafly from the latter : " Judicio Francorum eleilo, quicquid precedente do- " mino a Francis inter eohleni judicabitur, pollicetur fe implere." Ibid. \ 40. In the fame way, the conttaiit expreffiorv ufed in the Chronicles to record n fucceflion to the crown, is, " Et filium ejus Franci fuper fe rcgem ftatuunt." Gejl: Franc. \ 43. The very ceremony of the coronation of the French kings, as practifed in modern times, is that of an election by the grandees, aflembled within the church of Rheims, and an approbation of the people aflembled without. In fact, however^ the Chronicles often mention elections in-exprefs terms. \ Thus AISTXJLFCS, king of the Lombards, engaged, " Ut omnia per judicium Fran- " corum emendaret ;" and it was " per facerdotes et optimates Francorum," that he obtained peace. Fredeg. Cbron. Continual. In the fame way, " GUNTRAN et CHILPERIC " pacem fecerunt, pollicentes alter alterutrum, ut quicquid faccrdotes vel feuk/res popu- " li judicarent, pars parti componeret quse terminum legis exceflerat." GREG. Tur. lib, 6. ^ 31. 5 IN the preamble of the compilation of it, as corre&ed under CLOTAIRE II.. the au- thority it proceeded from is thus defcribed : " Temporibus CLC^TARII regis, una cum " principibua 144 0« the ORIGIN and STRUCTURE of UNDER the Carlovingians, we have much more particular ac- counts of thefe affemblies. The moft unambiguous expref- fions of hiftorians indicate that they were national *. HINCMAR relates, that, at the placita, the " Epifcopi abbates, f velhujufmodi honorificentioresclerici,fibimet honorificabiliter ' a cactera multitudine primo mane fegregarentur ;" and that a fimilar feparation took place, as to the comites, " vel hujufmodi ' principes." Thefe, he fays, formed two councils, which met together in one, when the affairs under deliberation required it. Here, then, we have the magiftracy, or governors of towns and counties, and the dignified clergy, forming a fenate, and feparated from the multitude of whidi the reft of the diet was compofed. And it will be particularly obferved, that this multitude were, by no means, as has often been pretend- ed, a rabble of attendants and fpeclators ', for it is related, that no " inferiores perfonas" were admitted among them ; and that their functions were to hear the refolves of the lay and ec- clefiaftical magiftracy ; and fometimes (in cafes, I fuppofe, of very general intereft) deliberate on them, and confirm them, not by their power in executing them, but by their fuffrage in approving of them f.— There is alfo a leffer diet mentioned by HINCMAR, " principibus fuis, id funt, 33 eplfcopis, 34 ducibus, et 79 comitibus, vel csetero populo ' conftituta eft." And HINCMAR, archbifhop of Rheims, under Loois LK DEBONNAIRE, a well informed author, and anxious to preferve information of the conftitution of his country, Teems to hold it as a thing perfe&ly notorious, that, in all times, the national confent had been given to the promulgation of laws. " Habent enim reges," fays he, " et reipublicse miniflri, leges quibus, in quacunque provincia degentes regere debent '' habent capitula Chriftianorum regum, ac progenitorum fuorum, qu* general! confen- " fu fidelium fuorum tenere legaliter promulgaverunt." Vol. \\. p. 204. The capitula- ries are exprefs on this fubjeft. One of them runs as follows : " Per capitula avi et pa- " tris noftri, quae Franci pro lege tenenda judicaverunt et fideles noftri, in generali pla- " cito noftro confervanda decreverunt." Cafit. Carol. Cat, tit. 39. cap. 8. * IT is related under the year 767, " Ibi fynodicum fecit (ftiz. PJPINUS) cum omnibus Francis in campo Bertini. Annales Francor. •\ IT is thus I underftand the following paflage. It begins with mentioning, that there were two diets in the year, one of the general kind I am treating of, in which the whole Me EUROPEAN LEGISLATURES. 145 HINCMAR, which, he fays, confifted only of the feniores and pratcipui conciliarii^ i. e. " the magiftracy and principal officers of the crown," and was deftined for the purpofe of making pre- fents to the king, and confulting on fuch affairs refpecting the bufinefs of the enfuing year, as required early deliberation. OF this period, as well as the former, it is alfo to be re- marked, that we find the term placitum applied indifcriminate- ly to the affembly fummoned for immediate war, and to that where deliberation rather than action was its object *. THE ancient German diet, under the houfes of Saxony and Franconia feems to have retained precifely the form which HINCMAR afcribes to it under CHARLEMAGNE. At the election of CONRAD II. A. D. 1024, we find the nation aflembling in the plains between Worms and Mentz ; the Franks on the weft, the Saxons, Carinthians, and Bavarians, on the eaft. The dig- nified clergy, and the dukes, counts, and marquifles, retired to an ifland on the Rhine, and agreed, that two perfons, named CONRAD, mould be the candidates. The archbifhop of Mentz propofed the eldeft firft. The dignified clergy gave him their fufFrages, then the dignified laymen, and, in fine, the multitude of the nobility, diftributed into national battalions, gave their confent by cries and acclamations f. PFEFFEL, vol. i. p. 180. I NEED fcarce obferve, that this form of the diet under the houfe of MARTEL affords the ftrongeft indication of its form under that of CLOVIS ; for it is clear from the Capitularies, that the feus had t not whole bufinefs of the year was arranged, fo as not to be altered : " Nifi fumma necef- " fitas quse toto regno incumbebat ;" and thus proceeds, " In quo placito generalitas " univeribrum majorum, tarn clericorum quam laicorum, conveniebat; feniores, propter " concilium ordinandum ; minores, propter idem concilium fufcipiendum et interdum pa- " riter tradtandutn, et non ex potentate, fed ex proprio mentis intelleftu vel fententia " confirmandum." Vol. 2. p. 211. * SEE paflage in the preceding note, as an example of the latter ; and for the former, fee Capit. paflim. Thus, cap. 2. Car. Mag. cap. 9. where the bifhops, counts and ab- bots are required to have people, " Qui, tec. ad diem denunctati placiti veniant, et ibi " oflendant quomodo fint parati. Habeant loricasvel galeas et temporalem hoftem." \ THE eleftion of LOTHARIOS II. A. D. 1125, was decided againft the inclination of the fenate, by the will of the multitude, of which, as the accurate PFEFFEL obferves, " Les 146 On the ORIGIN and STRUCTURE of not as yet affected the general ftrudlure ' of the legiflature ; and we know of no other frmrce from which any great change in it could have proceeded. Betides, the form of the Polifli diet coin- cides fo exactly with that above defcribed, while Poland, at the fame time, was never feudalized, as greatly flrengthens the con- clufion, that it preferved much of the original ftruclure of the Eu- ropean diets 5 efpecially as the fingular tenacioufnefs of the Poles to ancient cuftoms, and their feclufion from many of the fources of political innovations, render it otherwife highly probable, that theymuft retain more of the arrangements of ancient Europe than are to be fcmnd in other nations. In the diet of Poland, the fenate, confifting of the bifhops, and of the provincial magiftrates, pala- tines, and caftellans, /. e. governors of counties or fortrefTes, aflem- ble within an inclofure, called ihzfaopa. The king prefides, and, in his abfence, or during an interregnum, the archbifhop of Ghefna. The nobleffe are arranged without, under the banners of their palatinates, and approve, or reject, by exclamations, fuch proportions as the fenate think proper to make to them *. And it is to be remarked, that defcent alone, without any eftate in land, is fufficient to conflitute a perfon a member, either of the provincial or national diets f. WHAT " Les hiftoriens font monter le norr.bre a plus cle foixante mille homines, tous ranges " fous leurs drapeaux et divifes en fix brigades." Vol. i. p. 242. * INSTEAD of the noblefTe of the palatinates in the ordinary diets, only deputies at- tend ; but this is known to be merely a modern invention, and that flill it is competent to afTemble the whole body of the nobility, which is aflually done when a comitia palu- data, or an afiembly more deftined for afiion than deliberation is convoked. •f- THE account SHERNHOOK gives of the ancient Swedifh diet mows, that it was alfb a national aflembly of confederate tribes arranged by the diftrifts to which they belong- ed : " H* provinciae," fays he, " parvum quoddam reipublicae corpus fibi fecifle vi- " dentur, non alias in communi cum reliquis confulentes, quam cum aut de holte pel- " lendo, aut rege eligendo vel fuftentando ageretur : Non enim ut hodie feparati ordi- " nes erant fed provinciae ; ubi mixti nobiles, clerici, cives, milites, ruftici provinciatim, " et pro communi habitationis loco refponderent : Quod et antea diftum eft, et inter '* fe ord'rnes magis quam provincias conjunxit." P. 47. As to the term rujlici, it may be obferved, that only the peafants of the domains fend the reprefentatives which form the houfe of peafants in the modern diet. The crown continuing eleftive, they had become freemen and proprietors in early times. The EUROPEAN LEGISLATURES. 147 WHAT we know of the Spanifh diets before the invafion of the Saracens, is alfo agreeable to the fame notions of the ancient legiflatures. We have evidence, that both the grandees and the populace gave their fuffrages at the elections of the Gothic kings*. It is certain, that their cortes, or councils, were attended by the dignified clergy, and by the palatines, or great provincial magi- ftrates, comprehending duces, comitcs et gardingi, who had the right of fummoning and leading forth the national militia f. We have likewife evidence, that this militia, when in actual fervice, formed occafionally what might be called a placitum ex- ercltale :f> It feems highly probable, therefore, that this militia likewife attended the cortes, which we find always accompanied with a multitude, to whom the refolutions of the deliberative body of it were communicated for approbation || ; a circum- t 2 fiance * IN the hiftory of the election and expedition of WAMBA into Gaul, published by an archbifhop of Toledo, it is not only faid of him, " Quern totius gentis et patrias " communio elegit," and that at his election " Populi acclamatio extitit," but alfo that he had the " anhelantia plebium vota ;" and that a duke, by menaces, compelled him to accept of the crown, Apud du Chefne, vol. i. f Vide L L. Vifigoth. et Concil. Tolet. Can. paflim. J WE have a very curious record of the trial and judgment of PAULUS, and his aflb- ciates, for revolting in Narbonne againft WAMBA, in A. D. 673. It bears, that, after they were vanquifhed and taken captive, " Convocatis adunatifque omnibus nobis, itidem " fenioribus cunftis palatii, Gardingis omnibus, omnique palatino officio, feu etiam ad- " flante exercitu univerfo in confpedtu gloriofiffimi noftri domini, PAULUS cum praedic- " tis fociis fuis judicandus afliftebat." It does not certainly appear who the nobis omnibus were, for there are no fubfcriptions preferved j but, I imagine, the enumeration which fucceeds that expreffion is the true interpretation of it. Accordingly, fentence feems to have been pronounced by the whole aflembly, " Ob hoc fecundum latae legis " edidla, \\QComnescomtnunidefinivimusJentcntia." The punifliment was " mors tur- " piffima," with a refervation, that the king might {pare their lives, " Sed non ali- " ter quam evulfis luminibus." The proceedings at the trial are highly curious. The king firft afked the rebels if he had done them any injury. They confefled he had not. Then the record of their having joined in the king's election, and fworn fealty to him, authenticated by their {ubfcription1!, was produced. Then followed the record of PAULUS having accepted of their fealty; and, in fine, two laws of the councils of Toledo againft rebellion were read. The firft of thefe fteps was probably neceflary, be- caufe the Gothic kings at their election " fidem populis reddiderant." Apud du Chefne, •vol. i. p. 831. || E. G. THE fpeech of St LEANDER, when the cortes renounced Arianifm, in the reign of RECAREDO, in the end of the fixth century. 148 On the ORIGIN and STRUCTURE of jftance which well explains why, on a vacancy of the throne, after a fucceflbr was named by the palatines, it was always efleemed neceflary to aflemble a folemn diet, in order to have their appointment confirmed, and the right of the new king re- cognized by die nation. IF we turn our refearches more homeward, we {hall find, that every thing, in the like manner, indicates, that the legifla- ture was a national aflembly. THE very places of meeting, in die open air, and in great plains afford reafon to fuppofe, diat the diets of the Anglo- faxons were very popular alTemblies j and all the expreffions of hiflorians, in mentioning them, likewife eftablifh that fuch was the fact *. Even after die conqueft, the Englifh diets were ftill at times very numerous. In an affembly under WILLIAM RUFUS, A. D. 1 094, almofl all the nobility of England are faid to have been prefent f ; and it appears, that, befides them and the dig- nified clergy, a great crowd of both clergy and laity attended ; and diat a miles, unus de multitudine, made a fpeech, encou- raging Archbifhop ANSELM in the conduct he was purfuing:}:. Accordingly, even the laws of the Conqueror bear to have been enacted, " Per commune concilium totius regni |[." And the ancient * THE council, or diet, in which EDGAR was to be abfolved from penance, in A. D. 973, is defcribed thus : " Adunatis epifcopis, abbatibus, et cseteris principibus, " cum tola regni ingenuitate, coram eis adftante irmumera populi multitudine." The council of A.D. 697, afiembled at Berghamlted, enafted fundry laws, or canons, which bear that they were decreed by the clergy ; " Viris utique militaribus et communi omnium " confenfu." Earl GODWIN purged himfelf of the murder of the king's brother AL- FRED, " coram rege et univerfa gente." Saxon Citron. 1052. MATTHEW of Wefttnin- iter fays, " Maxima pars regni, tarn clericorum quam laicorum, in unum congregati " pari confeufu KNUTONEM in regem elegerunt." The Saxon Chronicle relates, that, on HAROLD'S death, " Populus univerfus elegit EDWARDUM in regem." •J- EADMEB.US calls it fimply, " totius regni adunatio." P. 39. $ Ibid. p. 3.6. § THE election of the dignified clergy was anciently in parliament } and I fee a re- cord in Madox, where STEPHEN, in veiling the bilhop of Bath with the temporalities of his The EUROPEAN LEGISLATURES. 149 ancient entry in the journals of the Houfe of Lords fuggefts the idea of the nation having been aflembled along with them : " Pracfente etiam tato populo, et plebe de domo communi." The laft words, ct plebe de domo ccmmum, muft evidently have been added after the admiflion of the reprefentatives of trading incor- porations among the milites, or proper citizens of the nation. WE alfo find the fame indifcriminate application of the diet to civil and military purpofes as in the continent. So low down as 23d HENRY II. A. D. 1177, mention is made of an extraordinary parliament being aflembled at Windfor, attended by all the earls, barons, and almoft the whole military tenants . of the king, with their horfes and arms, prepared to go where- ever he mould command them *. IN Scotland, alfo, we have full evidence of the ancient diets being a national aflembly. BENEDICTUS Abbas, under the year 1188, mentions, That the bifhop of Durham, and others, were fent by HENRY II. to WILLIAM, king of Scotland, to col- lect tithes : That WILLIAM, being defirous to get back certain caftles that had been taken from him, agreed, provided the confent of his fubjecls could be obtained : That the ambafTa- dors came accordingly, " In LEONEIS ad locum quae dicitur " Brigeam ; — et ipfe rex Scotorum, cum omnibus fere epifcopis " et comitibus et baronibus terras fuse, et cum infinita homi- " num fuorum multitudine, ad locum praefixum venerunt ; et ' audita adventus nunciorum regis caufa, et eorum petitione, " habito his fee, addrefles the grant, " Archiepifcopis, epifcopis, abbatibus, comitibus, baroni- " bus, et omnibus Jidelibus, per toram Angliam, conAitutis ;" and adds, that the grant proceeded, " Canon ica prius eledtione praecedente, et communi veftro concilio, voto et " favore profequente." This charter is tefted in a general council at Weftmiufter } " Audientibus et collaudantibus omnibus fidelibus," . 198. * THE iter jufticiarii proves, that fubvaflals were anciently feftatores of the king's court : " Primo vocentur (edtatores, et eorum domini ; quia tametfi fedlatores compa- " rent, tamen eorum domini obligantur ad comparendum, coram jufticiario in fuo iti- " nere." Again j " Seftatores curise iterum vocari debent finguli bis, cum ipforum :' dominis." It appears, too, from cap. 15. Quon. Alt. That a vaflal of a baron was probably, at the period of the regulation there mentioned, flill a fe&ator curiae viceco- mitis. Poffibly, cap. 67. ejufd. may have been the origin of their being excluded the county courts of freeholders. It is there provided, that a baron cannot be judged by a. vavafor, nor a vavafor by a burgefs ; but that a lower perfon might be judged by a . higher. In the decline of the feus again, -viz. in 1593, all landed men were found by the court of feflion to be pares curiae, and competent to fit as jurymen, even in the trial, of peers before the jufticiar, MACK. Crim. part. 2, tit. 8, On the ORIGIN and STRUCTURE of In Scotland, we know, that it was not till the latter part of the fixteenth century, that freeholders were excluded from fitting along with, their reprefentatives ; and though, during the pe- riod of domeflic troubles that occurred between the reigns of ROBERT I. and JAMES I. the feeblenefs of the crown appears to have permitted fuch an ufurpation of fovereignty in the fub- jec"l fuperiors, as to deprive their military vaflals of the title and rights of freeholders, the indenture I have quoted proves that they originally poiTefTed them. And the analogy of Eng- land, where they never loft them *, but retain, at this day, the name and privileges of freeholders, in common with the tenants in capite, confirms powerfully the evidence which that indenture affords. IT may further be remarked, as a circumftance extremely favourable to the hypothefis 1 have offered, not only that all freeholders owed military fervice, but that, in Saxon times, the expeditio militaris formed an article of the trinoda neceffitas in- cumbent * I KNOW Englifli antiquaries fiippofe there was a time when the vaflals of fubjedts •were admitted to the privileges of freeholders. But there is no veftigfc of evidence that fuch an event ever took place, or that there was room for it, by their ever having been deftitute of thofe privileges. The facl, I apprehend, was, that the vigorous admini- flration of the Anglo-Norman princes prevented, in a great meafure, that ufurpation of fovereignty in the fubjeft-fuperiors, which occurred in other countries. Hence, though property was arranged in England according to feudal ideas, the vaflal preferved much of his public privileges and natural equality as a citizen. Thus the valtiafor, or power- ful vaflal of a feudal lord, was regarded as a fuperior perfon to a fimple miles, or petty tenant in capite. Thus, the merifF alone could levy a diftrefs from vaflals, to compel them to fulfil their obligations to their fuperiors. Thus the firft peer of the realm is not only, in all civil cafes, fubjedt to the jurifdiftion of a jury of commoners, who may be vaflals of fubjedls, but, in criminal cafes, is fubjecl to the grand jury, and, on an appeal of felony or murder, may be convifted capitally by a petty jury of them. And thus, too, the king always might have required the council of any free- holder, by writ, commanding his attendance in parliament, where he consequently might have fat and voted as an equal with his feudal lord. The ftatute HEN. III. an. 9. cap. 14. feems to have arifen from the diftin&ion of ranks which the feudal law had then rivetted. In the mandamus of that prince to the itinerant juftices, he directs them to amerce all liable to be amerced, except earls and barons, " Qui coram concilio " noftro amerciandi funt." By § 27. Mag, Chart, they could be amerced only " per " pares fuos." The EUROPEAN LEGISLATURES. 153 cumbent on every free citizen, and that the pofTeflion of a fword and a lance was fuch a charadleriftic of freedom, that the cere- mony of emancipating a villein confifted in beftowing them on him. I DO not mean to contend, that every degree of emancipa- tion, though creating an obligation to ferve in war, conferred a right of entry into the courts of the hundred and {hire. I rather incline to believe, that, in general, the emancipated re- mained fubjecl: to various burdens in favour of their patrons, and reforted to that domeftic jurifdiction which their patrons exercifed in their own domains ; and that, in turbulent times, many of the original freemen were either compelled by their more powerful neighbours, or found it convenient, for the fake of protection, to fubmit to- fimilar burdens, and to a fimilar degradation. But, on the other hand, we find the Saxon Ceorls entering into fodalitia with the moft confiderable perfons in the flate : We find fokemen, in the oldeft times, members of the county-courts ; and Doomfday proves, that even thofe foke- men, who probably had no entry there, and were transferable by their lords, retained fo much of the characters of the an- cient independence of freemen, that they exercifed the func- tions of fiutors of courts, and were capable of enjoying the emoluments of jurifdiclion *. « FROM * IN enumerating the lands of ROGERUS comes, it is faid in Doomfday-book j " Hanc terrain tenuerunt 6 foccomanni, et dare et vendere terrain fuam potuerunt. " Unuseorum homo regisEnwARDi fuit, et Invuardam invenit vicecomiti. Tres iftorura " Soccomannorum accommodavitPicorus (thevicecomes), ROGEIUO comiti, f rafter pla- " citafua tenenda. Sed pofteaoccupaverunt cos, homines comitis et retinuerunt cum terris " fuis fineliberatione, et rex inde fervitium non habuit, nee habet. Sic ipfe vicecomes dtcit." P. 193. 2. Again, when defcribing Herftingeftan hundred } " Ibi eft terra Soccoman- :< norum 5 hid. ad geld. Terra 8 carruc. et 6 bov. Ifti foccomanni dicunt, fe habuifle le- *' grevitam, blodevitam, latrocinium fuum, ufque ad 4 denar. et poft 4 denar. habe- " bat abbas forisfafturam latrocinii." In the remarks at the end of the furvey of the (hire, it is faid, that a jury informed that, as to thefe 5 hides, " Terra foccomannorum fuit :' tempore regis EDVVARDI } fed idem rex dedit terram et focam de eis fando Bene- " didlo de RAMSEY, propter unum fervitiom quod abbas ALVINUS fecit ei in Saxonia, " et poflea femper habuit." Huntingtonjbire, 154 Oh the ORIGIN and STRUCTURE of FROM all dais combined evidence, derived from the hiftory of fo many countries, I think myfelf entitled to conclude, that the European diets were, in their origin, national afTemblies of the warriors of each country, in the fame manner as the pro- vincial diets confided of the pofTe comitatus, or military force of each diftrict. I am aware it may be objected, that many of the facts I have founded on are extraordinary events, which, it may be faid, ought not to be confidered as indicating the true conftitution of a country. I think, however, there is a folid anfwer to this objection. It will be obferved, that I am rea- ibning from occurrences among nations practifing agriculture, with a view to difcover what conftitution they pofTefTed on their firft eftablifhment, when war and a paftoral migratory life had formed their opinions and habits. I am, therefore, en- titled to fuppofe, that their ancient and moft facred functions would become unfuitable to their new fituation, and be ne- glected, as inconvenient and burdenfome, except when great occafions excited a general intereft, which overcame the natural unwieldinefs of an agricultural nation, where the powers of government are little felt or acknowledged. In this view, there- fore, the examples above quoted, of immenfe numbers aflem- bling in a military form in the German and Britifh diets, ought not to be confidered as infulated events, but as inftances mark- ing the genuine ftructure of the nation : For it will be remark- ed, that they were not die confequences of revolutions, but only of important occurrences, that muft naturally have in- clined people to overlook private inconveniences, and, from a regard to the public intereft, exert dieir ancient and known po- litical rights. I SHALL make only one obfervation more in favour of my opinion ; and it is this, That it fully explains a great variety of circumftances in the hiftory of the middle ages, and, during the reign of the feus, altogether adverfe to what was the fpirit of thofe inftitutions, and the temper of diofe times. Such are the The EUROPEAN LEGISLATURES. 155 the formidable and frequent demands made to the Norman princes for the reftoration of the Saxon laws ; the regard paid by magna charta to the rights of the commons, as much as of the peerage ; the facility with which deputies from the lefTer freeholders were admitted into parliament, fo that no cotempo- rary hiftorians take any notice of the event ; the numerous veftiges of an ancient equality of ranks among thofe who may juftly be termed the warrior caft of the nation * ; the privi- leges of the noblefle on the continent, and the fpirit of the common law in England, fo favourable to the rights of the commons and adverfe to feudal ufurpation : Thefe are a few of the particulars which, I think, have never received any fatisfac- tory explanation on the fyftem of thofe authors who hold, that all our inftitutions are to be confidered as originating in feudal times. PART II. S E c T I O N II. Of the deliberative Body in the Anglo-Saxon and Scoff i/h Diets ; and whether or not they contained Reprefentatives of Towns. ""* H E R E are two points in the hypothecs maintained in the •*• preceding feclion that feem to demand feparate confidera- tion. Thefe are the members afcribed to the deliberative body in the European diets in general, and in the wittenagemot in particular ; and the denial of any reprefentation having belong- ed to the commons in the Gothic ages. u 2 As * THUS, in Scotland, where the greater and lefTer barons fat together in one houfe of parliament, we find commoners holding the higheft offices in the ftate, and fitting along with peers in juries and in trials in parliament. 156 On the ORIGIN and STRUCTURE of As to the former of thefe circumftances, it will not have efcapecf attention, that many of the facts already quoted ftrongly confirm the general idea, that there was a prefiding body in the national diets, confiding chiefly of the ecclefiaftical and lay magiftracy. HINC MAR'S defcription of the placita under CHARLEMAGNE ; what we know of the diets in Germany under his fucceffors, and of thofe of the Vifigoths before the Saracen conqueft, and the ftruclure of thofe of Poland and Sweden, are all agreeable to this opinion. The queflion, however, who the wites were, from which the Anglo-Saxon diet, or micelmot, derived fome- times the name of ivittenagemot, has been a matter of fo much difcuflion, the opinion I offer is fo adverfe to what the greateft of our hiflorians have entertained on the fubject, and is itfelf fo material in explaining the origin and functions of the peer- age and titled nobility of modern Europe, that I flatter myfelf fome obfervadons, particularly directed to this fubject, will not be unacceptable. IN the firft place, it is to be noticed, that many of the ex- preflions of our ancient hiflorians and records indicate, that the Saxon diet confifled of two bodies. This feems to be implied even in the common enumeration, which begins with the dig- nified clergy, and ends with fome term denoting a great multi- tude of people, fuch as tola ingenuitas, or populus ; but there are not wanting more explicit expreffions. Thus, WILLIAM of Malmfbury, who flourifhed only fixty-nine years after the con- queft, makes HAROLD, when reproached for afluming the crown contrary to his oath, give the following anfwer to WIL- LIAM the Norman : " De regno prefumptuofum fuifle, quod " abfque general! fenatus et populi conventu et edicto, alienam: " illi haereditatem juraverit," &c . *'. Mr * ANALOGOUS expreflions are ufed with refpedi to the diets of the continental nations. As to the northern nations, Poland, Sweden, Denmark, and Norway, the fa<3, with regard to two bodies, a fenate and people, compofmg their ancient diets, admits of no difpute T£e EUROPEAN LEGISLATURES. 157 Mr HUME, obferving that vaft numbers of members were al- ways afcribed to the Saxon diet, has thcmght it neceffary to fuppofe, that the principal proprietors of land were entitled to feats in it ; and he, at the fame time, rejects the notion of the commons fitting, or being reprefented in it, becaufe he finds no mention of reprefentatives in Saxon times ; and becaufe, from the nature of the thing, a deliberative council could not contain a whole nation. But, if the diet was a mili- tary review, the leaders might naturally form a council far from being- too numerous for deliberation ; and the body which approved or rejected their refolutions might be fuppofed to cort- fift of almofl any given numbers without confufion. The fe- paration of the diet into two bodies is, no doubt, irreconcileable with Mr HUME'S fyftem j but it feems to obviate the difficulties that induced him to adopt ir. IN the next place, I apprehend the following paffages clearly point out, that the eldeft wites, or faplentes natu major -es, were the lay and ecclefiaftical magiftrates, and, by no means, merely confiderable landholders. INA reigned in WefTex in the end of the feventh and beginning of the eighth century* His laws are difpulei As to thofe of Spain, there feems to be no room for fuppofing them different : " Tandem unus ex primatibus," fays an ancient chronicle, " nomine CHINDASINTHUS, " colle&is plurimis (enatoribus Gothorum, caeteroque populo in regno Spanise fublima- " tur. TOLOGANEM degra.datum ad honos CLERICATI tonfbrare fecit." FREDEG. § 82. The fame conftitution among the Lombards feems to be implied in the expreflion of the chronicle : " Langobardi una cum concilio procerum fuorum DESIDERIUM in fedem reg- " ni inftituunt." Du CHESNE, tit. i. />. 775. As to France, again, under the firft Race, we frequently meet with fu.ch language as this : " CHILPERICUS rex, convocatis " melioribus Francis, reliquifque fidelibus, nuptias celebravit filise fuse." GREG. Tur. lib. 6. § 45. " Ille vero congregatis fenioribus fecum, praeparatis epulis," 4>T. Lib.$. \ 27. And FREDEGARIUS writes, " Confilio fapientum ufus pagos et civitates,- " quod fratri fuo CHARIBERTO ad tranfigendum ad inftar privato habitu viventium, " potuiflet fufficere nofcitur conceflifle." Cap. 57. In the fame way, the legiflature of the Saxons, when conquered by CHARLEMAGNE, confifted of a ienate and people : " Cum in Saxoniam CAROLHS perveniflet totum perfidas gentis fenatum ac papulum; " quern ad fe venire juflerat, morigeram ac fallaciter fibi devotam invenit." EOINHAR- TDS in aflis ann, 777. 158 On the ORIGIN and STRUCTURE of are extant ; and the preamble of them bears, that they were enacted with the advice of his father, &c. and the eldeft wites of his people. One of thefe laws provides, that, if any perfon fights in an alderman's houfe, or in other (<>)>per) illuftrious wite's houfe, he muft pay, fcfr. Dr HENRY* has tranflated the paflage thus : " If any man fights in an alderman's houfe, or ' in the houfe of one of the famous wife men." It is evident, that here the Doctor makes the pafTage exprefs a diftindlion be- tween an alderman and a wite, while the Saxon relative o>pep manifeftly implies, that aldermen were wites, though there were wites that were not aldermen. ASSERUS, in his life of ALFRED, mentions the attention of that prince to the diftribution of juftice, and his rebuking his judges for affuming the rank and functions of wites, " Gradus ' et minifterium fapientum," while they neglected " fapientis 1 fludium et operam j" and commanding them, therefore, to lay afide " terrenarum poteftatum minifteria." This paflage proves, that the wites, or fapientes, were poffefled of the powers of magiftrates. The fequel of it is, however, (till more expli- cit, and, as I apprehend, obviates every doubt ; for, in men- tioning the effect of the rebuke, ASSERUS names particularly the perfons reformed by it : " Perterriti veluti pro maxima vin- " dicta correcti comites et prsepofiti ad equitatis difcendi flu- ' dium totis viribus fe vertere nitebantnr j ita ut minim in " modum illiterati ab infantia comites, pene omnes praspofiti ' ac miniftri, literatoriae arte fluderent," &c. f. THESE paffages fcarce require a commentary. In the law of INA, aldermen are mentioned as a confiderable clafs of wites. The rebuke of ALFRED relates only to laymen ; and the fapi- entes laici are there fpecified under the Latin names univerfally ufed to denote chiefs of counties and towns. The lay wites were certainly, therefore, the chiefs of diftricts, by whatever name thofe chiefs were called, heretoges, aldermen, or gerefas : And * Hift. of Gr. Brit. vol. 2. p. 246. f P. 21. Tie EUROPEAN LEGISLATURES. 159 And the ecclefiaftical wites, were, without doubt, the dignified clergy whom we find enumerated at the head of thofe of whom the diets were compofed. In the laws of ALFRED, it is faid ; " Sancli epifcopi et fapientes laici flatuerunt." KINEWOLF, king of WefTex, in writing about religious affairs, fays ; " Una cum ' epifcopis meis, nee non cum caterva fatraparum ;" or, more fhn- ply, ** Cum confenfu epifcoporum, atque fatraparum meorum." The term fatrap here, and in other places, ufed by the Anglo- Saxon writers was certainly, of all others, the moft proper to denote thofe powerful provincial magiftrates who were, in fact, petty kings, and united, like them, the civil and military powers. And it will, like wife, be noticed, that this term is ufed by KINEWOLF, as correfponding to that of fapientes laici in the laws of ALFRED *. IT may be tedious to add further authorities ; but I will ven- ture to fay, that, if any perfon takes the trouble to look into the Saxon writers, he will, I believe, find, that the common expreflions ufed by them are more juft, if interpreted according to the fyftem I have offered, than in any other way. Thus, for inflance, the current phrafe, " Confidentibus totius Angliae fe- f natoribus," or, " Totius Angliae majoribus natu," could, with no propriety, be ufed to exprefs, as is manifeflly intended by it, that the fenate was full and general, unlefs all the parts of England had fenators peculiar to them ; that is, that the fe- nators were the provincial magiftrates. If they had been either the judges of a royal court of juftice, or had been considerable proprietors without functions, then the' phrafe would naturally have run, C( Omnibus Anglic fenatoribus" or, ll Omnibus Anglic ' majoribus • *!N the fynod of A. 13.694, aflemblecl chiefly on religious affairs, the enumeration of the members is more full j firft, the archbilhop of Britain and the bifhop of Rochefter are mentioned, and then it proceeds as follows : " Cseterifque abbatibus, abbatiffis, prefby- " teris, diaconibus, ducibus, fatrapis, in unum glomeratis." See allb enumeration o£ the diet which abfolved EDGAR, quoted above ia note p. 148. r6o On the ORIGIN and STRUCTURE of " majoribus natu conjidentibus " And many examples of a like nature might be quoted *. IT will naturally occur, that the opinion of a qualification in landed property having been necefTary to confer a feat in .the wittenagemot, is adverfe to the conclufion which is meant to be iuggefled by the above obfervations. But it is to be re- marked, that what Dr HENRY has laid down on this fubjedt as a matter of certainty, was offered by Mr HUME merely as a con- jecture. The only foundation, as far as I know, for this doctrine is a paflage in the Hiftoria Elienfis f, where mention is made of land being alienated from a convent, in order to make up aa eftate of4o hides for a friend of the abbot, that he might be reckon- ed among the nobles, " proceres." We know, that more anciently a king's thane muft have had five hides of land, a chapel and a hall. Hence, as Mr HUME fuppofed, the great proprietors of land, or king's thanes, were the wites, he conjectured reafonably enough from the above paflage, that, in later times, the quali- fication of a wite had been advanced to 40 hides J. It is ma- nifeft, however, that, till it is proved that the thanes were fena- tores Anglias, a doctrine which, by the by, would render the fenate too numerous for deliberation, there is no evidence what- ever, that a qualification in land had any connection in law with the wittenagemot, farther than that we may conjecture, that proprietors who held lands free from fervile conditions .alone would be efteemed companions in arms for each other, and * " GLORIOSUS .rex OFFA cum fenatoribus terrge, iffc, Hac decreta fenatoribus et' " ducibus et populo terras propofuimus." SPELMAN'S Councils. A charter of EDWARD the Confeflbr runs thus : " EDWARDDS R. Salutem dicit HERMANNO epifcopo, HAROLDO " comiti, et omnibus fuis agri Dorfetenjts mini/iris." HODT, p. 64. \ Lib. 2. cap. 40. \ IT is remarked in Doomfday, that a thane who had more than fix manors in Not- tingamftiire, paid 8 pounds relief to the king ; but, if he had fix or fewer manors, .he paid 3 merks to the fieri/, whether he lived in burgo or extra. Me E UR OPE AN LE GISLAfURES. 1 6 1 and, of courfe, alone would attend the provincial and national diets *. As to Scotland again, there feems to be every reafon to believe, that its ancient diet was conftituted in a manner very fimilar to that of the Anglo-Saxons. We find the country divided, like Eng- land, into ihires and wapontacks. We know, that the Saxons and Danes gave their language and cufloms to the fouth-eaftern parts of Scotland j and what is tranfmitted to vis of the Iriih and Welfh cuftoms feems to differ from the arrangements of the Anglo-Saxons, only as having belonged to a more rude and un- cultivated people. On thefe accounts, I think it reafonable to fuppofe, that the great men, mentioned in the enumeration of the members of the ancient Scottifh diets, were the magiftracy of the nation. I know a learned author f , in a late work, feen: ^ inclined to difpute that ever earls were official in Scotland. But, fo late as the laws of DAVID II. J, earls are mentioned as provincial judges ; and the ancient Scottifh flatutes cannot be looked into without finding the term judices applied to earls, and others, with the fame general impropriety as in the reft of Europe, where it was conftantly employed to denote magiftrates rather than judges. When, therefore, in an afTembly at Perth, fines for non-performance of military fervice are faid to have been afcertained, " Coram rege per omnes judices Scotise || ," we ought to be at no lofs to difcover, that it was the fenators, or the magiftracy of the nation, that formed the body here meant §. x It * I SHALL afterwards, in confidering the innovations in the ftrufture of the ancient legiflatures, have occafion to treat of this qualification in land. •f- Mr WALLACE. J Cap. 8. and 9. J Stat. ALEX. cap. 15. Stat. WILLIEL. cap. 3. § IT is curious to find GREGORY of Tours ufing a fimilar mode of expreffion, " Poft '•' hsec ediftum ajudicibus datum, ut qui in hac expeditione tardi fuerant damnarentur." Lib. 7. c. 42. 1 62 On the ORIGIN and STRUCTURE of It is worthy of remark, that the record mentions the fines awarded to have been fuch as had not been adjudged at the army, where the attendance mould have been given. This muft be acknowledged to look as if a placitum exercitale was not unknown in Scotland. I HAVE been able to difcover no veflige in Scotland of any particular quantity of land-eftate being anciently required to qualify a perfon to be a member of the national diet. Dr STUART, indeed, has laid it down in his work on the public law of Scotland, that the pofTeffion of a knight's fee was necei- fary for this purpofe * ; and he has thought proper to treat Dr ROBERTSON with much afperity for holding, that the lefler te- nants, in capite, were members of it. It does not, however, ap- pear, that even the national force was ever called forth, accord- ing to any diftribution of the country into knights fees. The ftatute of WILLIAM the Lion, c. 23. proves the contrary, as far back as his reign. There is, therefore, as little probability as evi- dence, that this fpecies of eft ate was employed .to form the qua- lification of a feat in the national diet. EVEN in England, where knights fees were of fuch impor- tant ufe, the pofleflion of an entire knight's fee does not appear to have ever been considered as, in the leaft, connected with a vote in the legiflature. By Magna Charta, all tenants in capite j~ were, without diftinclion, to be fummoned to parliament J ; and, if we look to foreign countries, we fhall find, that it was al- ways noble blood alone, or a fee held by a noble tenure, con- joined . * Page 290* •f- WHETHER holding by one fpecies of tenure, or another ; and whether holding large tftates, or only fra£lions of knights fees. See allb L L. GOL. I. and L L. HEN. I. ap. Lombard. \ " ET praeterea faciemus fummoneri in generali, per vicecomites et ballivos noflros, " omnes illos qui de nobis tenent in capite." Mag. Chart. § 14. I muft here remark, that this expreffion is not adverfe to my opinion,, that freeholders, not holding in chief, •were Me E UR OPE AN LEGISLATURES. - 1 63 joined with noble blood, and by no means the quantity of the fee, that afforded a qualification for the diet. BESIDES, Dr STUART has inferted, in an Appendix to his work, the indenture of ROBERT I. where all the free tenants, " of whatever condition," and whether holding of king or fub- jecl, belonging to liberties, or not belonging to them, are men- tioned as afTembled and deliberating in parliament. ONE obfervation more is neceflary on the preliding body of the Britim diets, viz. that both in England and Scotland, it ap- pears to have affembled in the fame manner as the autumnal placita of the Franks, though no general diet of the nation had been convoked. The Saxon hiftorians often mention afTemblies where only fenators in general, or, more particularly, bifhops, abbots, or feniores, are fpecified as attending ; and we find the Saxon monarchs trying great law fuits in fuch conventions. Thus, fays the Hiftory of Ely, " Edicitur generale placitum " apud Lundoniam," where the duces, principes, fatrapae, rhe- tores, and caufidici, aflembled ; and there a queflion of property was decided by them, in which the bifhop of Winchefter was concerned *. In the fame way, in Scotland, the remains of our x 2 ancient were originally entitled to attend at the diets. The tenants in capite owed their at- tendance as the condition of their eftates, and were compelled to give it accordingly, while other freemen were more apt to negleiSl a burdenfbme and inconvenient duty, which was not, in their cafe, often enforced by immediate forfeitures. Accordingly, the bold inventor of the treatife Mod. Tenen. Parl. makes the tenants in chief attend parliament by neceffity of their tenure, while others only might be afked to attend. The real foundation, however, of this provifion in Magna Charta was, I apprehend, no more than this, that the tenants in chief were, agreeably to the feudal arrangements, the leaders and magiftrates of their vaflals. Hence it was incumbent on the king to fummon only his immediate vaflals, each of whom was, in virtue of fuch fummons, obliged to attend, " cum hominibus fuis." Accordingly we find, that, in Scotland, certain of the vaflals owed only prefence, and not fuit, at the king's courts ; and that it was neceflary to enforce the obligation of fuit by various regulations. Stat. I, ROB. I. cap. 2. &c. 4. et 5. * Lib. i. cap. lo. See for more fuch aflemblies, cap. 14. 45. 46; 60. This piece of hiftory is the more remarkable, that it affords a flrong indication of the original inde- pendence 1 64 On the ORIGIN and STRUCTURE of ancient laws take notice of ordinances and judgments decreed in fimilar conventions. One GYLASPIC MACSCOLANE we find ordered to give fureties, or furrender himfelf, by an afleni- bly of all the judices Scotise and Galividise. A judgment re- fpecling the widows third of lands, rendered by the king in his court, is marked by having been pronounced when many mag- nates were prefent, and, therefore, no doubt of the greater au- thority; and ALEXANDER II. iflues ordinances, fometimes ' comrnuni confilio comitum fuorum," and fometimes along with the " comites barones et judices Scotiae;" or, more general- ly, as in a cafe formerly quoted, " Recordatio facia coram do- " mino rege per omnes judices Scotiaz f." # * * # THE opinion, that the towns had reprefentatives, in the an- cient European diets, deferves particular examination, not fo much on account of any argument or evidence produced in its favour, as becaufe men of ingenuity have maintained it, and that the difcuffion of the merits of it tends to throw light on the fources from which this privilege was, in after ages, de- rived. AND considering, that the fupporters of this opinion gene- rally hold, that the vaflals of fubjeds, and even thofe tenants in capite, whofe property was lefs than a knight's fee, had no place • pendence of the counties. For, after relating the judgment of the generale placitum, it thus proceeds : " Poft base, infra odtavum diem convenerunt iterum ad Northampton, " et congregata ibi tola provincia five vicecomitatu, coram cunftis iterum caufam fu- " pradiftam patefecerunt. Qua patefada ac declarata, ut praejudicatum erat apud " Lundoniam, judicaverunt et ifti apud Northampton." f IT is natural to confider, as the remains of this ancient inftitution, the known royal prerogative in England, of holding conventions of peers, though no parliament is in exiftence ; and the praftice which appears from the Scots (latutes to have obtained in Scotland, of the peers iffuing ordinances without the concurrence of the other eflates of parliament. The EUROPEAN- LEGISLATURES. 165 place in the diet * ; and that the reprefentation by knights of the {hire in Britain, and deputies of noblefle on the continent, was a modern inftitution, the sera of which is nearly afcer- tained j it furely may be fairly urged, that a hypothefis is, at leaft, improbable which thus fuppofes, that, in rude and war- like times, the owners of fmall eftates, who formed fo large a portion of the feudal militia, had no accefs to the national council, while plebeian burgefles had, in all times, been ad- mitted into it, and even, according to fome, formed the wites, from which, among the Anglo-Saxons, it derived its name. BUT though it were permitted us to fuppofe, that repre- fentatives from counties, as well as from towns, had been de- legated to the national diets, neither the diforderly and calami- tous ftate of fociety in the Gothic ages, nor the feudal ufurpa- tions to which they gave birth, nor the feeble and disjointed condition in which they left the European nations, can fuffer us to attribute to fuch times an inftitution which our own ex- perience of it has proved to be the powerful guardian of civil liberty, the fureft fource of equal and general laws, and the efficacious bond which unites a widely extended country into one great community, cemented by the fame public interefls, and * THE Abbe" MABLT, however, thinks, that the Commons, or Tiers Etat, formed a third chamber in the diet of the Carlovingians, becaufe the Capit. of A, D. 819, art. 2. requires each comes to bring with him to the diet, " 12 fcabinos, fi tanti " fuerint, fin autem de melioribus hominibus comitatus fuppleat numerum j" and that the advocati of the dignified clergy fhould alfo attend. But the fcabini were always chofen " de nobilioribus ;" and, at any rate, it is evident, the 12 beft people of a coun- ty can, by no means, be reckoned as of the Tiers Etat. Befides, HINCMAR'S defcription of the aflembly gives no countenance to the notion of a chamber of delegates. The regulation in queftion, I apprehend, was deftined to remedy, in part, that negleft of attendance on the diet, which, at laft became fo fatal to its authority ; or, perhaps, for fome particular purpofe, like what we read in Hoveden, of WILLIAM the Con- queror j " WILLIELMUS rex, anno quarto regni fui, confilio baronum fuorum, fecit " fummonari per univerfos confulatos Anglise Anglos nobiles et fapientes, et fua lege " eruditos, ut eorum jura et confuetudines ab ipfis audiret. EleQis igitur de fmgulis " totius patriae comitatibus viri duodecim," 6'r. And they are faid to have reported the laws upon oath,. 1 66 On the ORIGIN and STRUCTURE of and actuated by the fame national fpirit. It is ftrange, that thofe who profefs to be the mofl zealous friends of the Houfe of Commons fliould adopt a fyflem, according to which a le- giflature by reprefentatives, even when eftabliftied among a people uncorrupted by luxury, and trained to arms, proved in- fufficient to anfwer the mod efTential purpofes of government. The multiplied oppreflion, the turbulency of powerful indivi- duals, the national debility, the diverfity of local cuftoms, which, it is not to be difputed, were the refult, as well as the at- tendants of the Gothic governments, are furely the ftrongeft evidence of a conftitution intrinfically bad, or grofsly inade- quate to the circumflances of the people to whom it belonged. BESIDES, if it be confidered, that each diftri<5l had conflitu- tionally the election of its own chief magiftrate *, who, it can- not be queftioned, was a member of the diet, it will be dif- ficult to conceive, how the meafure of fending any other re- prefentative to fuch afTemblies mould have been adopted. A perfon with fuch a character would have appeared to be ano- ther * " AUDIENS autem CHILPERICOS omnia mala, quae faciebatLeudaftes ecclefiis Turo- 41 nicis et omni populo, ANSUALDUM illuc dirigit. Qui veniens, ad feftivitatem San&i •" MARTINI, data nobis et populo optione, EUNOMIUS in comitatum erigitur. Denique Leu- " daftes cernens fe remotum," &c. GREG. Tur. lib. 5. § 48. " Praecipientes jubemus, " ut in ipfo pago Cenomanico accipere non debeant, ducem aut comitem, nifi per elec- " tionem ipflus pagi, pontificis et pagenfium." BOUQUET, torn. 4. ad ann. 698. The emperor HENRY II. recognized, that it had been the right of the Bavarians, at all times, to chufe their dukes. Again, "Ut judices, vicedomini, prsepofiti, advocati, centenarii " boni et veraces, cum comite et populo, eligantur." Capit. ad ann. 809. See alfb LL. EDWARDI, cap. 35. and L L. BOIOR. tit. 2. cap. i. The kings, as prefiding ma- giftrates, had naturally the nomination of dukes and counts ; and the people had the appointment or rejection. The kings feem to have interfered in prejudice of the peo- ple, by transferring the eleftion into the general afTembly of the magiftracy, and then by affuming it altogether. Thus we have frequent mention of the " ele&iones " de palatio" as to biftiops, and they are marked in the edift of CLOTAIRE II. ann. 615, as an alternative to elections " clero et populo." I have quoted a char- ter in MADOX, that proves a bifhop of Bath was elected in parliament in STEPHEN'S time ; and we find dukes and counts fometimes fent " e palatio," and fometimes chofen, as lathe above cafe of Tours. See alfo, lib. 8. § 42. The EUROPEAN LEGISLATURES. 167 ther chief magiftrate, and muft have been confidered as a rival and a foe to the natural head of the community. VERY ftrong arguments have been derived from the progrefs of the Houfe of Commons to its political confequence ; and, from its rank and functions, when fir ft found acting in the le- giflature, to ihow, that it was, by no means, a body coeval with the conftitution. Thefe, however, are well known, and need not be infifted on. BUT, independently of the foregoing obfervations, which, however they may produce conviction on people accuflomed to eftimate the force of political reafonings, will pombly be little relifhed by others ; I apprehend we have evidence of a more direct nature againft the antiquity of the reprefentation of towns. Jf, previous to the and it appears from a law of CHINDASINTHUS, who reigned about A.D.6$o, that, notwithstanding the fubmiflion of the towns, on the renunciation of Arianifm, the di- ftinftion between the curiales and plebeians of the Roman municipia remained in force. L L. Vlflg. lib. 5. tit. 4. cap. 19. The fame law likewife proves, that the jurifdidlion of the comes obtained in the Spanifh towns, as well as in the country diftrifts ; and Dr ROBERTSON, in his Hiftory of CHARLES V. v. I. />. 345, &c. fhows, That the towns made a diftingujfhed figure, as far back as there are any accounts of the kingdoms which arofe on the ruins of the Arabian powers. It is certain, that the principal inha- bitants of towns enjoyed the hotiours of the country noblefle 5 and this will hardly ap- pear extraordinary, when it is confidered, that, during the long warfare with the Moors, towns were the natural bulwarks to which the inhabitants of the country mufl have re- forted in times of danger. f GREGORY of Tours, lib. 4. \ 30. ; lib. 6. § ir. verb, feniores civium; and lib. 8. 5 18. 21. 45. ; lib. 10. § 5. And many other authors might alfo be quoted to the fame effeft. J THE principal inhabitants of Jerufalem, Napoli, Acre, and Sur, furnifhed 666 knights, and the fimple burgefles furnifhed, together with the churches, 5075 fergens to the army ; and thefe knights feem to have been, in no refpecl:, inferior to thofe fur- nifhed by the country barons. AJJlfts de Jerufalem, cap. 326. &c. In the time of St LEWIS, Paris contributed to the war of Flanders 400 cavalry and 200 infantry. The fine for abfence was 60 folidi. Fines of this nature were levied on burgefles in very ancient times. Every perfon, without diftinclion, having 4 manfes in property, or benefice, was obliged to attend in war. BALUZ. torn. j. />. 489. And we have burgefles particularly mentioned as fubjeft to this duty. EdiSt of CHARLES LE GROS, ad ana. 880. The EUROPEAN LEGISLATURES. 175 zens of certain of the principal towns, as London and the Cinque Ports, were named barons or thanes, and mentioned as reforting in an aggregate body to the national diet, and there pofleffing much influence *. Again, though we fometimes find inhabitants of towns defti- tute of the right of alienating their property ; that the crown was their heir inflead of their children ; and that fervices of all forts, or compofitions in lieu of fervices, were exacted from them in the moft oppremve manner ; it neither follows, that all the inhabitants of towns were in this fituation, nor that the inhabi- tants of the country were in happier circumftances. Various eaufes tended to create a multiplicity of reftraints and fervices. The German kings fubfifted chiefly by gifts from the freemen of the nation, and, like the heads of all paftoral tribes, received from them lodging, forage, and attendance when they journey- ed. After the conqueft of the Roman provinces, thefe vomnta-- ry aids degenerated into a variety of cuftomary taxes, uncertain fervices, and oppremve compofitions. Fines alfo were prefcribed for all manner of delinquencies, and feem to have been employed as an inducement to the execution of the law, by rendering every proprietor a profiler from it. Perfonal protection, likewife, was not only to be paid for by a yearly rent to the king, or potent in- dividual who afforded it, but became the condition of various re- ftraints as to marriage, alienation, fucceflion, &c. over thofe who received it. Befides, the imperfections of agriculture, and the dif- orders arifing from the weaknefs of government, often reduced even freemen to the greatefl hardfhips ; and it was lawful for them to fell themfelves into flavery ; and it was alfo lawful to purchafe emancipation or relief, by fubmitting to various burdens affect- ing their poflerity, as well as themfelves. In fine, the jeakmfy and * ON the death of CAJJUT, the Saxon Chronicle relates, that HAROLD was chofen king by Earl LEOFRTC, and the mariners of London, and almoft all the thanes north of the Thames. " Major Londonise, et alii barones Londoniae attornaverunt," - je&s, he appears to have been perfectly acquainted with the na- ture and the extent of his own powers. Though he was confi- derably advanced in life before he began to write hiftory, yet the clofenefs of his application enabled him to unfold that wif- dom which his experience had furnimed. In fpite of an ardent love of fame, he avoided the rock upon which moft authors fplit, and wifely forbore to folieit the attention of the public, till he could for certain command its refpeft. WHILE he was governor of Belgium, he did not wafte his time in idlenefs, nor in devifing plans for the increafe of his fortune. The generofity of his fpirit made him abhor that cruelty with which other Prefects opprefled their fubjecls. When the concerns of his government did not engage his at- tention, he viewed the rude manners of the Germans with an attentive eye ; and the acutenefs of the obferver was happily fuited to the nicety of the fubjecl. The difcuflions of the phi- lofopher were, with him, a relaxation from the cares of the ftatefman* * See PART I. p. 76. of PAPERS of the LITEB.AK.Y CLASS* i82 ESS^T upon the PRINCIPLES flatefman. During his abode in Belgium, he collected mate- rials relating to the iirft ftage of human fociety, which form the moil valuable treatife that is even yet to be found upon the fubject. HE next wrote the life of his father-in-law AGRICOLA. In this treatife, we have reafon to admire the qualities of an af- fectionate heart as much as the accomplifhments of an able writer. As a piece of biographical writing, it may be deemed a ftandard. Nothing needful to be known is fupprefled, and nothing fuperfluous is admitted. AGRICOLA is made fo com- pletely refpectable as a foldier, and amiable as a man, that the character drawn may feem perhaps too near to perfection. It does not appear, however, that the contemporaries of TACITUS ever accufed him of partiality. AFTER the life of AGRICOLA, he compofed his hiftory, which begins at the death of NERO, and ends with the reign of TITUS. It is unfortunately -fo much mutilated, that it compre- hends little more than a twentieth part of its fubject. That our author knew precifely the nature -of the period he had chofen, is evident from his own words : " Opus aggredior (fays he) " opimum cafibus, atrox praeliis, difcors feditionibus, ipfa etiam " pace faevum *." Throughout the work, a mofl exact unity is preferved, in the midft of a multiplicity of facts. The views of VESPASIAN in the eaft are fuggefted before the difpute be- tween OTHO and VITELLIUS had come to a conclusion, and the reader is thus prepared for contemplating a new druggie. The difturbances in Germany and in Britain folicit his atten- tion when they occur ; but fo as not to break in upon the main ftory.' Foreign .and domeftic occurrences find a place fuited to their refpective importance ; and the account of the war in Germany, and that of the expedition of TITUS in Judea are kept completely diftinct, and made clearly intelligible. IN * Hift. lib. i. cap. 2. Of HISTORICAL COMPOSITION. 183 IN the annals of TACITUS, which were the lafl of his works, though their fubjedl be prior to that of his hiflory, a more di- ftinct arrangement is to be found than could well be expected from their title. From the author's ability, the narration in them is better conducted than that in eafier fubjecls is by the generality of thofe who have wifely adopted them. He was, at the fame time, thoroughly aware of the difficulties he encountered. He infinuates, that the period chofen prefents a multiplicity of facls too inconfiderable to be the foundation of a legitimate hiftory ; and that thofe great events no longer exifted, which as often hide the hiftorian's defects, as they re- ceive embellifhment from the force of his talents. " Nobis in ' arclo, et inglorius labor. Immota quippe aut modice laceffita '* pax, mceftae urbis res, et princeps proferendi imperil incurio- " fus erat. Non tamen fine ufu fuerit, introfpicere ilia primo ' afpeclu levia, ex quis magnarum faepe rerum niotus oriun- " tur*." As an impartial hiflorian, TACITUS is, without doubt, en- titled to high praife. He arraigns the conduct of the unde- ferving, without regard to their rank ; and appears to have been, in every cafe, devoid of prejudice. At the beginning of his hiftory, he lays down a rule for other writers, to which he gives reafon to think that he himfelf will rigidly adhere, Mihi GALBA, OTHO, VITELLIUS, nee beneficio nee injuria ' cogniti. Dignitatem noftram a VESPASIANO inchoatara, a TITO auclam, a DOMITIANO longius proveclam non abnu- ' erim ; fed incorruptam fidem profeffis, neque amore quif- " quam, et fine odia dicendus eft f."' A beautiful ftruggle is here exhibited between the emotions of his gratitude and his fenfe of what was right ; but he holds it dishonourable even to be grateful at the expence of truth. THAT the views of TACITUS upon human affairs are pro*- found and juft, muft be obvious to every perfon who has judg- ment * Ann. lib. 4. cap. 32. \ Hift. lib. i. cap. i. j 84 ESS AT upon the PR INC IP LES ment to follow him. The perafal of his works requires more than an ordinary exercife of attention. They are fitted to in- flruct rather than to anrufe. Their choicefl beauties lie hid from vulgar obfervation ; and the longer they are contemplated, even by the difcerning, the higher is the pleafure they afford. If ever any hiftorian underftood the fprings of human action thoroughly, it was TACITUS. His penetrating eye never refted upon the furface of objects, but fearched their inmoft recefs. His mind feems to have been formed for catching thofe pecu- liarities in character, which, though not eafily difcerned, have no fmall effect upon the conduct of men. Of this we have an inftance in the cafe of CJESONIUS PJETUS, who had been im- properly appointed by NERO for the defence of ARMENIA, and who rejected the advice of his experienced counfellors. Ve- " rum ubi a viris militaribus adverfus urgentes cafus firmatus *' erat, rurfus ne aliense fententiae indigens videretur, in diver- " fa ac deteriora tranfibat *." An ordinary writer would have either told the fad; {imply, or have miftaken its caufe ; but it became the fubtilty of TACITUS to expofe the falfe pride which made P^TUS reject the counfel which he needed, and add ob- ftinacy to ignorance. TriE obfervations of TACITUS fometimes illuftrate not only the characters of the perfons to whom they are applied, but the nature of the times in which they lived. He is, indeed, as fparing of his expreffion as he is profufe of his matter. This appears upon many occafions ; and particularly in the ac- count given whyPopp^us SABINUS had been raifed from a very ordinary ftation to offices of truft and diftinction. ' Fine " anni POPPJEUS SABINUS conceffit vita, modicus originis, " principum amicitia confulatum ac triumphale decus adeptus : " Maximifque provinciis per quatuor et viginti annos impofi- " tus ; nullam ob eximiam artem, fed quod par negotiis, neque " fupra eratf." The elevation of this SABINUS (it fhould feem) * Ann. lib. 15. cap. 10. f Ibid, lib. 6. cap. 39. Of HISTORICAL COMPOSITION. 185 feem) was owing, not to the precife extent of his abilities alone, but to the fentiments which his jealous fuperiors enter- tained of them.. From the meafure of talents which he pof- feffed, they perceived, that the bufinefs of the public would not be neglected ; and, from the mediocrity of thofe talents, that its tranquillity would not be difturbed. OUR author's obfervation upon the fall of SALLUSTIUS CRISPUS is alfo worthy of himfelf. When this perfon was ad- vanced in life, he loft the favour of TIBERIUS, which he had long enjoyed ; and TACITUS hazards a conjecture as to the fate of courtiers in general. The mutability of their fituation is often afcribed to the caprice of their patrons alone; but our author, with much ingenuity, and perhaps equal juftice, afcribes this to a capricious levity both in the patrons and in the ob- jects of their beneficence. " ^Etate provecta fpeciem magis ' in amicitia principis quam vim retinuit. Idque MJECENATI " acciderat, fato potentise raro fempiternse : An fatias capit, aut ' illos cum omnia tribuerunt; aut hos, cum jam nihil reliquum, ' eft quod cupiant *~" BUT almoft the whole account of the reign of TIBERIUS con- tains the expofition of a character not more odious than it was fingular. An ordinary writer might have marked fome of its general features, but fuch a writer as TACITUS alone could un- fold its intricacies. In almoft every action, and every fpeech, the tyrant had fomething to conceal. Under the veil of mo- deration, he was ever anxious to undermine the liberties of his people. Flattery, however artfully adminiftered, was, from the fufpicipufnefs of his nature, apt to give him offence ; and, though he was provoked with the fervility of his fubjects, yet he would not permit them to be free. This ftruggle between contending humours, together with its effects upon thofe around him, is beautifully infinuated in the following words. " Acer- beque increpuit eos, qui divinas occupationes, ipfumque do- a a " minum * Ann. lib. 3. cap. 30. i86 ESSAT upon the PRINCIPLES " minum dixerant. Unde angufta et lubrica oratio fub prin- " cipe, qui libertatem metuebat, adulationem oderat *." IN unfolding the character of SEJANUS, who was long the favourite, and even the director of TIBERIUS, no lefs art is difplayed than in unfolding that of the emperor himfelf. Along with many bad qualities, this SEJANUS had poflefTed the moft wonderful addrefs. While the other fubjects of TIBERIUS dreaded the violence and the caprice of his hximours, he had art enough to render both the inftruments of his elevation. He could make even the tyrant conceal his lufts, through a fear, or an attachment, of which he was the object. " Obtectis libidi- " nibus, dum SEJANUM dilexit, timuitve f." By an unfortu- nate chafm in the writings of TACITUS, the hiftory of the fall, and the full expofition of the character of SEJANUS are now loft. His daring ambition, and almoft unfathomable fubtilty, prefent a fubject that fuits the hand of an able artift ; and fome of the great outlines ftill remaining fhew clearly the value of the picture when complete. • BUT, although TACITUS draws his characters in ftrong co- lours, yet there is nothing in them bordering tipon extravagance. The fingularity of their conduct juftifies that of the view held forth. Though many foul paffions deformed the character of TIBERIUS; yet our author is candid enough to point out in it the fmalleft fymptom of virtue. He repeatedly frees him from the imputation of avarice. He even feems happy in extolling the merit of his reply to ADGANDESTRIUS, who offered to de- ftroy ARMINIUS, if the fenate would fend him poifon for the purpofe. " Refponfum efle, non fraude neque occultis, fed pa- " lam et armatum populum Romanum hoftes fuos ulcifci. " QHa gloria sequabat fe TIBERIUS prifcis imperatoribus, qui " venenum in PYRRHUM regem vetuerant, prodiderantque J." As the character of TIBERIUS is not held forth as complete- ly abandoned, fo neither is that of GERMANICUS held forth as completely * Ann. lib. 2. cap. 87. -)• Ibid. lib. 6. cap. 51. J Ibid. lib. 2. cap. 38. Of HISTORICAL COMPOSITION. 187 completely virtuous. TACITUS fhows that partiality to virtue which becomes its friend ; but his judgment was too ftrong to be mifled, even by a venial bias. In fpite of the amiablenefs of .GERMANICUS, in almoft every ntuation, he difcovers, upon one occafion, the frailties of a man. At the interview between him and Pi so, they met " Firmato vultu, Pi so adverfus me- " turn, GERMANICUS ne minari crederetur. Poftremo paucis " familiarium adhibitis fermo cceptus a CaesARE, qualem ira " et diffimulatio gignit*." THOUGH the obfervations of TACITUS be profound, yet he rarely mows any anxiety, or employs any artifice to fet them off to advantage. The current of -his narration runs often fo fmooth, that the treafures with which it is impregnated are apt to efcape unnoticed. He wrote for thofe only who had acute- nefs to catch his hints, and ability to apply them as they de- ferve. A profound obfervation often prefents itfelf unexpected- ly ; and the reader's admiration is beftowed the more willingly, becaufe the hiftorian's fenfe of dignity made him averfe from courting it. The caufe of RUFUS'S feverity is beautifully paint- ed at the end of the following fentence, by the ufe of four words. ' Quippe RUFUS diu manipularis, dein centurio, mox ' caftris prxfectus, antiquam duramque militiam revocabat, : vetus operis ac laboris, et eo immitior quia toleraverat f." THE defperate fituation of the old emperor GALBA, who was employed in offering a facrifice, even after the fchemes of OTHO his fucceflbr had begun to take effect, is alfo delicately expreffed in a few fimple words. " Ignarus interim GALBA et 5 facris intentus, fatigabat alieni jam imperii deos J." WITH much judgment, alfo, and, at the fame time, with great fimplicity of expreffion, he affigns the reafon why ANI- CETUS, who had been employed by NERO, firft to attempt drowning his mother, and afterwards to flay her, incurred the emperor's difpleafure. " Levi poft admifTum fcelus gratia, dein a a 2 " graviore * Ann. lib. 2. cap. 57. -\ Ibid. lib. I. cap. 2o. % Hilt. lib. I. cap. 29. 1 88 ESS AT upon the PRINCIPLES ' graviore odio, quia malorum facinorum miniftri quafi ex- 1 probrantes afpiciuntur *." SUCH flriking and deep remarks feem to fpring fpontaneoufly from the mind of TACITUS. They are, for mofl part, made without any feeming effort, and without oftentation. Though' replete with inflruction to the moft intelligent reader, yet they often teach without mortifying him, and excite no difguft at the hiflorian's arrogance. THE judgment of TACITUS is remarkable, not only in thofe fingle flrokes, by which he unexpectedly, and at once, unfolds fomething not underflood, but alfo when he warns his reader that he is to do fo, and folicits his attention. In his defcriptions of character, there is none of that fpurious fubtilty which ba- lances circumftances not duly oppofed. Every antithefis ftatcd has its foundation in nature, and befpeaks that folid acutenefs which is above affectation. Of this, the character drawn of GALBA, in the 49th chapter of the ifl book of the Hiftory, furnifhes one out of many inftances. " Hunc exitum habuit " SERGIUS GALBA tribus et feptuaginta annis, quinque prin- " cipes profpera fortuna emenfus, et alieno imperio felicior, ' quam fuo. Vetus in familia nobilitas, magna? opes : ipfi- " medium ingenium, magis extra vitia quam cum virtutibus. " Famae nee incuriofus, nee venditator. Pecuniae alienaz non " appetens, fuae parcus, publican avarus. Amicorum liberto- " rumque, ubi in bonos incidiffet, fine reprehenfione patiens : " fi mali forent, ufque ad culpam ignarus. Sed claritas nata- " Hum, et metus temporum fuit obtentui, ut quod fegnitia " erat, fapientia vocaretur. Dum vigebat astas, militari laude- *' apud Germanias floruit. Proconful Africam moderate : jam " fenior, citeriorem Hifpaniam pari juflitia continuit: major " private vifus, dum privatus fuit, et omnium confenfu capax " imperii, nifi imperaffet." FROM * Ann. lib> 14. cap. 62- Of HISTORICAL COMPOSITION. FROM all the obfervations made, and all the paflages quoted, we may infer, that TACITUS was eminently endowed with that judgment, which, befides giving the feeling and the fancy of the hiftorian their due value, is itfelf the foundation of many capital qualities. This enabled him, we find, to chufe and to arrange his fubject, fo as to do moft juftice to his own abilities, and to give moil inftruction to his reader. It fecured the fairnefs of his decifions, in fpite of thofe perfonal connections wuh which mod men are blinded. It made him fagacious in his opinions as to paft things that are doubtful, and as to future things that are contingent. While it enabled him to fee ob- jects as they were, and infured his reader againft the imper- tinence of obfervations that are either trifling or mifplaced, it alfo reprefled the weak vanity, which lefTens the merit that it means to exaggerate. As the power of judgment comes late to maturity, both in the individual and in the (late, fo hiftory, in its moft improved form, is never one of the earlieft efforts of national genius. The perfection of the poet's art depends chiefly upon the acute- nefs of his feeling and the vivacity of his fancy. In the im- provement of thefe powers, little or nothing is left to the pof- fefTor's induflry, while judgment is fortified by the recollection of paft errors, and ftrengthens flowly by repeated trials. As the improvement of national wifdom, too, is the fruit of na- tional experience ; fo hiftory cannot flourifh but where intereft- ing facts prefent themfelves, and where their value is diftinctly {een. Though thofe powers which ferve to embellim truth muft not be extinguifhed in the hiftorian, yet judgment muft prefcribe the laws by which they are to be controlled. Be- tween the emotions of mind, and the refpective impulfe that is- the caufe of each, a fteady proportion is thus preferved. As too much brilliancy in any object prevents it from being di- ftinctly feen; fo the brightnefs of the reader's fancy muft illu- minate ESSAY upon the PRINCIPLES minate the fubject of narration, without dazzling the reader's eye. THE pofition now advanced, as to the period in fociety at which hiftorical narration appears in its moil improved form, will be found to be juftified by facts. In every literary sera, the poet has been the firft to offer the fruits of his genius, and to court the difpofers of that approbation which is the reward of his excellence. Before even the remotefl period to which any hu- man record reaches, HOMER had difplayed the wonderful powers of the Greek language ; and, by his own practice, had fixed thofe principles upon which future artifts were to per- form, and future critics to judge. At Rome, the poems, not only of Liyius ANDRONICUS, Accius, and PACUVIUS, but of PLAUTUS and TERENCE, had attracted the notice of their countrymen, before any tolerable profe compofition appeared. Upon the revival of letters, when thofe arts were cherifhed at Florence, which the Turks had banifhed from Greece, the hifto- ry of literature prefents the fame appearances. The Genius of Italy, after numbering for ages, was firft awakened by DANTE and PETRARCH. In France, a tafte for the beauties of profe was ufhered in by the poems of MALHERBE. In Britain, too, that elegance which has diftingiiimed the compofitions of fome of our countrymen, was firft difcernible in the works of our poets. The affertion, then, as to the period of hiftorical ge- nius, feems juftified by facts. In every region in which literature has as yet flourifhed, capital productions in hiftory have an- nounced the maturity, though they could not fecure the conti- nuance of claffical tafte. Like a bird of paflage, impatient of the rigours of every climate, this is ever ready to change its abode. THOSE paflages, produced now and formerly from TACITUS, though fraught with beauties of the firft order, enable us to form but an imperfect judgment of his merits. We are, in- deed, fairly entitled to infer, that the genius which gave ex- iftence Of HISTORICAL COMPOSITION. 191 iftence to thofe beauties is no ordinary one ; but, before we de- cide as to its precife extent, we muft mark the inftances in which that genius has failed, as well as thofe in which it has been fuccefsful. The profpecl: upon which we have hitherto dwelt, though rich, is, in fome degree, delufive. An eulogy that acknowledges no fault can alfo confer no praife ; and that approbation only is to be valued which refts on the balance of beauties that have been oppofed to defects. THE ftyle of TACITUS has been juftly condemned as being, in fome places, harm, and not fitted to allure the attention of the reader, by gratifying his tafte. This fault is die lefs par- donable, as it fprings from intention, and not from carelefTnefs. From wilhing to fhun that fervile vanity, by which moft wri- ters court the admiration of their readers with exceflive eager- nefs, TACITUS has fallen into a contrary extreme. In vitium ducit culpa fugafi caret arte*. He fomethnes throws out his deepeft reflections with an indiffer- ence that is fufpicious, fo that the abfence of parade is not always an indication of his modefty. The abruptnefs of his manner bor- ders upon a ftudied fententioufnefs ; and, from being too confci- ous of his own depth, he is apt to difguft as being dogmatic and oracular. He writes like a perfon confident that his opinions are found, regardlefs of thofe of his reader, and unwilling to wait till the capacity of ordinary men pei'mits them to follow him. FROM the abruptnefs of the ftyle of TACITUS, fome critics of refpeclable authority have afTerted, that he had made SALLUST his pattern. With all deference for their opinion in other cafes, we muft in this differ from them. If the originality of the genius of TACITUS has permitted him to copy any writer, it is THUCYDJDES. In the ufe of certain words and forms of con- ftruction, he may have copied SALLUST 5 but few hiftorians are more nearly oppofite in their manner. In the ftyle of SAL- LUST, there is a ftudied elegance, at which his fuppofed imi- tator * Hon. de Arte Poet. v. 31- 192 ESSAY upon the PRINCIPLES tator never aimed; and, in the fentiment of TACITUS, there is a depth which SALLUST could never rival. TACITUS is accufed of being vain of his erudition, and of feizing even the flighteft opportunities of difplaying it. He is faid to be at too much pains to give the origin of cuftoms, both foreign and domeftic, and to make too frequent references to the more remote events in the hiftory of his country. This ac- cufation I hold to be groundlefs. A philofophic mind, like that of TACITUS, muft have feen a value in certain facts that efcapes common obfervers. His benevolence, too, may have urged him to flimulate the remaining virtue of his contemporaries, by recalling to their remembrance the merits of their anceftors. As the empire declined, he perceived, that the materials of hi- flory were the more likely to perim ; and, happily for fociety, he pofTefled both that precifion, by which the antiquary efta- blifhes fingle facts, ..and that power of arrangement, by which the hiftorian ftates a number in that order which is to form his detail. THE energy of the ftyle of TACITUS has been condemned as romantic. This may appear to be the cafe to thofe who never felt that enthufiafm which warmed his breaft. The glow- ing language of an elevated mind tallies ill with the cold pro- priety of vulgar criticifm. The learned Bifhop of Worcefler, in his notes upon HORACE'S art of poetry, tells us, that fi- gurative expreffion became the dignity of the hiftoric character and genius of TACITUS ; but that, had his contemporary SUE- TONIUS ufed the fame language, he would have fet his readers a-laughing *. OUR hiftorian's defcriptions have been charged with incon- fiftency ; but this is owing to the inconfiftency of thofe cha- racters that are their fubjects. A more fuperficial obferver would have prefented a picture lefs juft, though more uniform in its parts ; yet the merit of an hiftorian is to be tried by the confonancy of his relation with what exifted, not with what may * Vol. i. p. 75. Of HISTORICAL COMPOSITION. 193 may be fuppofed. The fingular duplicity of many -of the cha- racters in TACITUS furniflies a full vindication of him in the refpect mentioned. His fagacity had efcaped his critics, who, by charging him with the want of penetration, have unluckily difcovered their own. BUT the moft partial admirers of TACITUS cannot deny, that his writings are fometimes deformed with pieces of conceit and affectation. A certain quaintnefs and minute elegance in fome parts of his works ftands oppofed .to the manly beauties of others. Though this affectation in our axithor be real and highly culpable, yet it is fometimes complained of when it does not exift. He is accufed of exceffive refinement in his views, and of affigning motives for conduct, of which even the agents were unconfcious. But it may be eaiier for a weak mind to de- ceive itfelf than an obferver of fuch deep penetration. In nice cafes, he generally fuggefts a variety of motives, and leaves it to his reader to felect the moft probable. Where judgment alone is concerned, no writer, perhaps, was ever lefs apt to err. As foon as the difcernment of his critics fails, their candour fails along with it ; and they chufe rather to attribute the ob- fcurity of the author to his weaknefs, than to their own want of penetration. The mind of the emperor CLAUDIUS, for ex- ample, feeble as it was, made a fubject of obfervation that was fortunate both for the hiflorian and his reader. A great ana- tomift only can mark minute deviations in nature from her or- dinary procefs j and, by ftating flight deficiencies or exceffes in certain parts, can explain irregularities that are glaring in the fyftem. WHEN the jvidgment of TACITLS operates in the way of con- trolling his feeling and imagination, certain failures may be de- tected, which are not vifible when that power operates by itfelf. That vigour in each, which is the general caufe of his excel- lence, renders the balance more delicate, and becomes, at times, b b the i94 ESSAY upon the PRINCIPLES the neceffary caufe of his defers. His errors proceed from the exuberance, not from the want of genius. THE imagination of TACITUS had certainly got beyond due bounds, when he told us, that the rednefs of DOMITIAN'S face was ufeful to him in fupprefling the figns of fhame. ' Sasvus " ille vultus et rubor, a quo fe contra pudorem muniebat *." The character of DOMITIAN was fo completely abandoned, that we mufl fuppofe him deftitute of every fentiment like mo- defty y and, at any rate, it is abfurd to talk of a perfon thus ftifling the figns of emotions of which he was actually con- fcious. OUR author alfo fpeaks of the Germans as feparated from the Dacians, " Mutuo metu out montibus f." When two fub- jeds fo completely different as fear and mountains, are flated as operating in the production of one common effecl, we are apt to imagine, that the hiftorian had forgot his dignity, and aimed at a fpecies of wit. THE fame unmeaning quaintnefs appears when TACITUS tells vis of the confirmed jealoufy that fubfifled between the Lugdunenfes and Viennenfes. " Unde aemulatio, et invidia, " et uno amne difcretis connexum odium ^." That the vici- nity mould infure the difagreement of thefe two nations is highly probable ; but, in order to announce this fentiment, there was no need to go in queft of the pointed antithefis in- volved in the two terms difcretis and connexum. THE facfl is, that the writings of PLINY, QUINCTILIAN, and the other contemporaries of TACITUS, do all carry the fymptoms of declining tafte. That period had arrived, at which, as the ingenious critic |[ before quoted obferves, the writer mud find means to ftrike and to furprife. Antithefis, remote allufions, and the double fenfe of words, are the tools by which he does fo. In thefe artifices, fuited to pleafe the falfe tafte of his countrymen^ * Vit. AGRIC. cap. 45. \ De Mor. Germ. cap. i. t Hift. lib. i. cap. 65. || Biihop of Worcefter. Of HISTORICAL COMPOSITION. 195 countrymen, TACITUS was often eminently fuccefsful. Thus, in telling us, that AGRIPPINA was able to give the empire to her fon CLAUDIUS, but was unable to fubmit to his fovereignty, he makes one word denote both the power and the abfence of it. " Truci contra ac minaci AGRIPPINA, quse filio dare im- ' perium, tolerare imperitantem nequibat *." The verb nequi- bat is equally connected with the two infinitives dare and tole- rare ; but it muft be decompounded, before it is applied to the firfl of them, fo as to bring forth the hiflorian's meaning. FROM the charge of affectation and conceit, in certain in- ftances, then, our author cannot be freed. It is the prerogative of criticifm to cenfure without fear, to defpife the authority of names, and to decide upon principle. TACITUS, perhaps, ex- pected, that the luftre of his uncommon accomplishments would deflroy the ridicule that is aimed at common defects ; that even the luxuriant play of his genius would extort that refpeCt which is due to its mofh correct productions. MANY of the impurities that occur in the flyle of TACITUS are to be imputed to the times in which he lived, and not to any careleflnefs, or to any ignorance of his. The contempora- ries of CICERO himfelf fometimes attacked that orator's flyle. From jealoufy of his ^reputation, perhaps, they were difpofed to reject even terms, " grseco fonte cadentia et parce detorta." In judging of the legitimacy of expreffion in a dead language, the moft ignorant are often the moil prefumptuous. The in- fluence of analogy is held to be more extenfive than it is ; and a high degree of uniformity is fuppofed to exift in a fubject of all others the moft eccentric. TACITUS, then, may have had authorities for thofe expreffions which we hold to be the moft irregular. From the boldnefs and originality of his views, at the fame time, we may fuppofe, that he would be apt to bend the language of his country to his own conceptions, and to fpurn at the fetters of ftrict grammatical authority. b b 2 TACITUS, * Ann. lib. 12. cap. 64. 196 ESSJT upon the PR INC I PL E S * TACITUS, doubtlefs, feems attached to expreffions more com- monly to be met with in writers of poetry than of profe. Ex- preffions more fimple, at the fame time, might have produced an equal, if not a fuperior effect. By means of thofe Grecifms, in which he abounds, he feldom prefents an idea with more energy than CESAR and LIVY could have done without them. Though high poetical authority often fcreens his ftyle from the imputation of being impure, yet its general character be- comes artificial and too much his own. When the barrennefs of language, befides, does not call for innovations, the writer is blamable who makes them. UPON examining the ftyle of TACITUS, we mail find, that he employs fome terms that are either peculiar to himfelf, or fupported by authority not ftrictly claffical. The term dtffugi- um *, though exprefli ve of the idea it prefents, is fupported by no other authority. By being compounded, it heightens the original notion of a rapid departure from an object fuppofed dangerous. The term fuftentaculum f is alfo fingular. It clearly fiiggefts the idea of a neceffary fupport. As a derivative from fujlento, the frequentative from fujlineo, it denotes the conftant preflure of one body upon another immediately under it. AuRito, alfo^ is a verb that is to be found in no other claffic, though, at the fame time, it is highly expremve of the conception which the hiftorian means to prefent by it. " Qui pecunias fcenore " auEiltabant J." As a double frequentative from augeot it ex- preffes: ftrongly the eager nefs of ufurers to enrich themfelves. The verb reftaurare^ though not peculiar to TACITUS, refts upon authority that is not to be trufted. JUSTIN and ULPIAN ufe it j but the purer writers employ inftaurare in its (lead. WE may, befides, difcover in TACITUS fingular ufes of terms that are to be feen in the works of the beft claflics. He takes the adjective avarusy and the abftract noun avaritia, in a fenfe very different * Hift. lib. i. cap. 39. -fr Ibid; lib. 2. cap. 28. J Ann. lib. 6. cap. 16. Of HISTORICAL COMPOSITION. 197 different from what is common. The latter term is made by him to denote an article of praife in AGRICOLA as a judge. " Ubi officio fatisfactum, nulla ultra poteftatis perfona. Tri- " ftitiam et arrogantiam et avaritiam exuerat*." CICERO'S de- finition of the vice fixes the precife force of the term. " Ava- 1 ritia (fays he) eft injuriofa appetitio alienorum." But no affection that is injurious can be meritorious in any perfon, far lefs in a judge ; and the moft rigid affertor of public rights cannot, in juftice, invade thofe of individuals. Both the cha- racter and the object, then, of this appetitio, employed by CI- CERO in the definition of avaritia, are reverfed by TACITUS. That defire which he applauds muft have been more than in- nocent ; and its objects muft have been the property of that community in behalf of which AGRICOLA acted as a judge. THE ufe made by our author of the adjective avarus corre- fponds entirely with the xife now ftated of the abftract noun avaritia. He tells us of GALBA, that he was, " Pecunias ali- ( enae non appetens, fuse parcus, publicae avarus f." The term avarus, in this acceptation, exprefles all that infatiable thirft for pofleflion, in behalf of the public, which the avaritious have for themfelves. It denotes an inflexible keennefs in GALBA to fupport every claim of the ftate he governed, in fpite of thofe temptations to which the virtue of other emperors had yielded. THE word gnarus^ which is properly applicable to the perfon who knows, TACITUS applies to the thing known. " Gnarum " id TIBERIO fuit £." Again, in the 4jth chapter of the 12th book of the Annals, he fays, " Nihil tarn ignarum barbaris " quam machinamenta et aftus oppugnationum j at nobis ea " pars militiae maxime gnara eft." SALLUST had applied the term ignarus to the thing unknown, as well as to the perfon ignorant ; as, when he fays, " Mare magnum et ignara lingua " commercia * De vita AGRIC. cap. 9. f Hift. lib. i. cap. 49.. J Ann. lib. 3. cap. 6.. 198 E S SAT. upon the PR INC I PL E S ' commercia prohibebant * ;" and, " Regio hoftibus ignara f." TACITUS, who frequently imitates particular expreffions of SALLUST, not only takes this feeming liberty with the com- pounded, but aflumes a correfponding one with the radical word. IT is, by no means, common to find the word objidium taken to denote, " in the way of a hoftage." " MEHERDATES objidio " nobis datus^:." Obfidium properly denotes, the ac~l of invert- ing a fortified place ; but, inftead of this act, there is here fub- flituted the manner in which a perfon is delivered up as a fecu- rity, that a ftipulation made to thofe who raife the fiege will be performed. BUT the irregularities in the flyle of TACITUS may, perhaps, appear more flriking in his ufe of certain particles than of the terms mentioned. Let us attend, then, to his ufe of thefe four, Alias, An, Et, Penes, and obferve, firft, the radical power, and then the ordinary applications of each. ALIAS, in its primary meaning, refers to an event as taking place occafionally, or at times both prior and pofterior to that at which the term is ufed. The occafional occurrence of the event is fignified when the verb appears in the aorift of the indicative j fo that the time at which the propofition is an- nounced, is comprehended by that in which the fact affirmed takes place. Thus, " Mutantur faepe hominum mores, alias " adverfis rebus, alias state ingravefcente ||." The future ex- iftence of the event fuppofes the time of affirmation prior to that at which the fact is to take place, and the paft fuppofes this pofterior to that at which it actually did j and they ap- pear in fuch inftances as the two following : " Sed haec ad te " fcribam alias fubtilius §." " Quibus de rebus et alias faepe " nobis multa qugefita et difputata funt * *." ALIAS, x * Bell. Jug. cap. 18. t Ibid. cap. 52. t Ann. lib. u. cap. 10. H Cic. de Oral. § Cic. Ep. ad ATT. lib. I. cap. u. ** Cic. Acad. Quaeft. lib. 4. cap. 4. Of HISTORICAL COMPOSITION. 199 ALIAS, then, is originally an adverb of time, and is applied indifferently to the paft, the prefent, and the future. UPON authority lefs to be trufled than that of CICERO, we find Alias transferred from time to place. Thus, " Idaeus rubtis " appellatus eft, quoniam in Ida non alias nafcitur *." " Nuf- " quam alias tarn torrens fretum f." But TACITUS does more than transfer Alias from time ta place, which two furnifh mutual analogies in language, by ap- plying it to the idea of caufe. Thus, when he talks of the pain which TACFARINAS'S meffage gave TIBERIUS, ' Non ' alias magis fua populique Romani contumelia indoluifTe Gffl- " SAREM ferunt, quam quod defertor et prasdo hoftium more ' ageret^." The circumftance of time, which, xipon CICERO'S authority, is the radical and the proper one, is here deferted, and the character and conduft of TAG FARINAS are held forth as a caufe of which the emperor's diftrefs was the effec~l. We are called to attend, not to the degrees of diftrefs which the mind of TIBERIUS had undergone, at different times, that were paft, but to the comparative efficacy of the catifes of its excitement. The amount of that part of the expreffion, then, in which Alias is concerned, is as if it had been ftated thus : f Non ob aliam magis quam hanc caufam," nempe, " quod de- ' fertor, et prsedo hoftium more ageret." THE primary power of the particle An is that of interroga- tion upon the part of fome perfon who wifhes to be informed. Thus, in TERENCE, PYTHIAS afks, " An abiit jam a milite ?" To which CHREMES anfwers, " Jamdudum, aetatem ||." AN is fometimes employed, not for the purpofe of gaining information, but for that of expreffmg contempt towards the perfon interrogated. A pretended fubmiflion is made upon the part of the enquirer, in order to bring the perfon interrogated to the neceffity, either of condemning himfelf, or of being filent. * PL:NY, lib. 24. cap. 14. f JUSTIN, lib. 4. cap. i. 8. J; Ann. lib, 3. cap. 73 .. [j EUN. lib. 4. cap. 5. 7. 200 ESSAY upon the PRINCIPLES filent. Thus, " An nefcis longas regibus efTe manus * ?" Ci- CERO, too, employs An in the fame way, when he perfonifies his country, and makes it reafon with him as to the propriety of perfecuting CATILINE ; " Quid tandem impedit te ? An in- " vidiam times ?" AN fometimes does not operate as an interrogative particle at all, but only expreifes doubt, or ignorance, upon the part of the fpeaker. Thus SALLUST fays of SYLLA, " Multique du- " bitavere fortior an felicior eflet f." So alfo, " Haud fcio an " nemini magis quam tibi faciendum £" UPON the beft authority, then, (it mould feem)^» deviates from its original power, which is purely interrogative. It, in the firft place, ftates a queftion to which no anfwer is expected ; and, in the next, it prefents the mind of the fpeaker as unable to fatisfy itfelf, but, at the fame time, as requiring no informa- tion from others. TACITUS ufes An, in the fenfe laft mentioned, in a way that is peculiar to himfelf. In uling it, he profefles his ignorance as to the manner in which certain facts took place, but he fup- preffes the term that announces the uncertainty. Thus, " AR- " CHELAUS finem vitas fponte an fato implevit ||." He records the fact, that this king did die ; and the particle An, befides fuggefling two ways, in one of which he might have died, is, without the aid of an incertum eft, a dublto, or baud fcio, made to intimate alfo his ignorance, whether he perimed by a volun- tary or by a natural death. There is clearly hefitation upon the part of the hiflorian, otherwife he would have been abfurdly reducing all the modes of death to two, and ufmg An as equiva- lent to Vel. In the fame way, he talks of the feeming modera- tion of GERMANICUS after the defeat of the Germans, " De fe ;t nihil addidit, metu invidiae, an ratus confcientiam facti fatis " effe§." SOME * OVID, Ep. 17. 166. f Bell. Jug. cap. 95. t Cic. de Off. lib. 3. cap. 2. jj Ann. lib. 2. cap. 42. 5 Ann. lib. 2. cap. 22. Of HISTORICAL COMPOSITION. 201 SOME paflages in CICERO may, at firft fight, feem to fupport that ufe of An now condemned in TACITUS. The former fays, for inftance, " Nos hie te ad menfem Januarium expectamus, " ex quodam rumore, an ex literis tuis ad alios miffis *. In fuch a cafe as this, however, the fpeaker's heiitation as to the opinion to be adopted, is but an inconfiderable circumftance. He juft fuggefls, without wifhing to remove his doubt. The expectation of feeing ATTIC us is the leading idea in the fen- tence ', and the origin of this expectation is regarded as un- worthy of the attention that is neceffary to trace it. So alfo ; " Summa fenectute CATO orationem in origines fuas retulit, " paucis antequam mortuus eft, an diebus, an menfibus f." The orator knew not whether CATO tranfcribed his oration a few days or a few months before his death ; but, feeling that either alternative did not affect the leading circumftance, which was his great age, he only ftates the queftion which he had no defire to refolve. IN fome other paflages, TACITUS ufes An and She together, as if they were fynonymous particles. He tells us, that no fo- licitations of PLAUTUS'S friends could prevail upon him to fly from the deftruction threatened by NERO. " Sed PLAUTUM " ea non movere. She nullam opem providebat inermis atque ' exul ; feu tsedio ambiguae fpei ; an amore conjugis et libero- ' rum, quibus placabiliorem fore principem rebatur, nulla foli- " citudine turbatum $." AN and She are analogous only when the former expreffes doubt, and not when in its interrogative and ironical accepta- tions. With all the feeming likenefs, however, that occafional- ly takes place between them, She requires no term to intimate doubt upon ,the part of the fpeaker, becaufe no doubt exifts. Thus, LIVY tells us, " Turn dictator cenfuram minuere parat : " feu nimiam poteftatem ratus, feu non tarn magnitudine ho- " noris quam diuturnitate offenfus jj." c c AN * Cic. Ep. ad ATT. lib. i. cap. 2. f Cic. in BRUTO, 89. J Ann. lib. 14. cap. 59. \ Liv. lib. 4. cap. 24. . 202 ESSAY upon the PRINCIPLES AN and Sive agree in fuggefting ignorance in the fpeaker in refpedl to the fuitablenefs of an affirmation, applicable to one of two or more alternatives, to the exclufion of the reft. But An fuppofes, that fomething, though not enough, is known with regard to each of the whole. Thus, they who doubted whe- ther SYLLA owed moft to his valour or his good fortune, pof- feffed facls that tended to eftablifh both opinions, though nei- ther preponderated. The mind is thus exhibited as balancing circumftances, and terminating in doubt from the fcantinefs of that information which An, as an interrogative, ferves original- ly to furnifh. Sive, again, fuppofes complete ignorance as to all the alternatives dated, fo as to preclude that doubt, of which the ac"l of balancing probabilities is the fign. In the cafe of An, (we have found), fomething is known with refpecl to all of them ; in the cafe of Sive, nothing is known in refpec"l to any one ; and the whole fubjecl: is held forth as either, in its na- ture, infcrutable, or as induftrioufly and effectually concealed. Thus TIBULLUS fays; Vivite f dices , memores et vivite noflri Sive erimus, feu nos fata fu't/Je velint *. TERENCE alfo fays ; Sive ijla uxor, feu arnica ejl,gravida ^PAMPHILO ejl j\ In the firft of thefe inflances (it is clear) that heaven only could know which of the alternatives was to take place ; and, of courfe, the matter was infcrutable. In the fecond, DAVUS vir- tually acknowledges, that he was not fo much in the young man's confidence as to know whether he was married or not ; and, of courfe, that matter, though perhaps known to others, was effectually concealed from him. IF the account given of An and Sive be juft, TACITUS is fin- gular, either in taking them as fynonymous particles, or in em- ploying * Lib. 3. el. 5. 31. f AND. aft. I. fc. 3. n. Of HISTORICAL COMPOSITION. 203 ploying the former in fuch a way as to lead his reader, in the inftance quoted, to fuppofe, that the truth of the laft alterna- tive might have been explored, while that of the two former was incapable of being fo. All the three appear to be equally the fubjects of conjecture. By changing the particle, the hi- ftorian meant, perhaps, to infinuate, that he reckoned the laft caufe the inoft probable ; and it was, at leaft, worthy of his candour, to afcribe moft probability to that which was moft for the honour of PLAUTUS. That TACITUS had fome fuch purpofe in view, by changing the particle, may be inferred from a fimilar pafTage, in which, after employing the She twice, he lays hold of the conjunction Vel. " AgitaJtTe LACO, ignaro GALBA, de occidendo TITO Vi- 1 NIO dicitur, five ut pcena ejus animos militum mulceret, fe u " confcium OTHONIS credebat, ad poflremum vel odio *." LA co's purpofe is reprefented as arifing from one of three mo- tives ; but the two firft are not to each other as both are to the third. The hiftorian knew not whether it fprang from withing to do what was agreeable to the foldiers, or from jealoufy of an undue attachment to OTHO; but he affirms, that, if from neither of thefe, it certainly fprang from hatred. TACITUS employs the conjunction Et as fynonymous with Cum, and as expreflive of time. He fays, " Nondum quartus a 1 vicloria mentis, el libertus VITELLII vetera odiorum nomina " sequabat f." Though this ufe of Et may be fubfervient to the purpofes of defcription ; yet, from its novelty, it muft be regarded as a grammatical licence. The will of the fpeaker is, indeed, abfolute, in uniting by this, and other conjunctions, what objects it pleafes ; yet a certain degree of fimilarity is ex- pected in thofe that form the afTemblage. Et is here made to unite a period of time and a ftate of political corruption j and the writer's intention is to mark the rapidity of the growth of the latter, by conjoining, and, of coxirfe, contrafting it with c c 2 the * Hift. lib., i. cap. 39. f Ibid. lib. 2. cap. 95. 204 ESSAT upon the PRINCIPLES the fliortnefs of the former. Such ufes of And in Englifh, and K*I in Greek, are frequent; but an inftance precifelyfimilar to that mentioned will hardly be found in Latin. THE ufe which TACITUS makes of the prepofition Penes is not to be juftified by any good authority. He tells us, that TIBERIUS was offended becaufe the practice of marrying by the Confarreatio had fallen- into difufe. " Plurefque ejus rei " caufas adferebat ; potiffimam penes incuriam virorum femi- " narumque *." THE prepofition Penes denotes the relation which an object: bears to a perfon, as being in his power and under his direc- tion f . Thus, Me penes eji unum vqfli cujlodia mundl J. A CERTAIN vicinity is fuppofed to exift between the mafter and that which is fubject to his dominion. Within a limited fphere, accordingly, he is underftood to have the merit of what is laudable, and the demerit of what is the contrary. So, " Pe- " nes aliquem laudem efle || ;" and, " Illorum efle hanc culpam " credidi quae te eft penes §." The term illorum, in the laft in- ftance, denotes the relation between the blame, and a number upon whom it was not chargeable ; but the term Penes denotes the relation between the blame, and one at whofe door it actually lay, as being in a fphere within which that perfon had an ex- clufive right to exercife authority. IN the expreffion, " potiflimam penes incuriam virorum fe- *c minarumque," the prepofition is evidently employed, as in the paffage quoted from TERENCE, to ftate the relation between a * Ann. lib. 4. cap. 16. t I MIGHT here ftate the precife meaning of Penes at greater length, by /hewing the difference between it and Apud, with which it is fometimes confounded; but I referve an analyfis of the Latin prepofitions as the fubjeft of future confideration. $ OVID, Faft. i. 119. || Cic. de Cl.Or. 142. § TER. HEC. aft. 4. fc. I. 20. Of HISTORICAL COMPOSITION. 205 a certain degree of blame, and the perfons fuppofed culpable. The idea of blame in TACITUS, however, is got by implication j that is, from knowing that TIBERIUS difapproved of the modes of marrying by the Coemptio and the Ufus> which were different from that before mentioned. The word incurta, befides, which exprefTes the careleflhefs, that is, the culpable circumflance, is under the government of die prepofition, inftead of being a correlative term to thofe expreffing the perfons upon whom the blame is laid. This word, alfo, as denoting only the abfence of thought, is too fpecific to act as a correlative to thofe de- noting the perfons. In proportion as the power of the nouu is, in this fituation, more than ordinarily particular, that of the prepofition becomes more than ordinarily general. The latter is not limited to the conception of blame in agents, as ufual, but denotes the relation between one object and another, acting as its immediate caufe, and may be tranflated " owing " to." Had the general term culpa been ufed, the expreflion " penes viros feminafque" would have been legitimate j but the " caufa penes incuriam virorum feminarumque" is certainly fingular. IF we had leifure to examine the modes of conftruction in TACITUS, as minutely as we have the terms, the former, per- haps, would, on fome occafions, appear as fingular as the latter. He fometimes puts a genitive after a verb that ufually governs an accufative. " Nihil abnuentem dum dominationls apifce- 1 retur *." We find, alfo, an accufative coming after a verb, which other writers make govern a dative. " Sua faclnora ad- 1 verfari deos lamentantur f. The verb prat/ideo^ befides, is fometimes made to govern a dative, as ufual, and, at other times, an accufative, which will hardly be feen in any other author. " Prsefidere ludis $." " Praefidere Pannoniam ||." TACITUS * Ann. lib. 6. cap. 45. f Ibid. lib. I. cap. 28. \ Ibid. lib. 3. cap. 64. || Ibid. lib. 12. cap. 29. 206 ESS AT upon the PRINCIPLES TACITUS, alfo, often imitates SALLUST, in adopting ufes of terms, and modes of conftruction, that are properly Greek. Thus, " Memoriae Druli eadem quse in Germanicum decer- nuntur, plerifque additis ut ferme amat poflerior adulatio *." As the Greek verb ?«A£« often denotes ordinary and natural oc- currence in certain cafes, fo does the Latin verb amo here. St re xtfTopix /Baffin f. Amatque convlcia loqu't. So alfo, " O7«f cv TOK ToisToif Q^it." The attachment to a fpe- cified adion, fuggefted by the two verbs in the different lan- guages, is made to denote its frequency even among inanimate objects. TACITUS alfo fupprefTes the governing prepofition, after the manner of the Greeks. Thus, as they faid, " Pupws von^t*," for " p&>juaio; x»r» rw irur^Sx ;" fo he frequently adopts fuch po- etical expreffions as, " Clari genus J," " Animum vultumque " converfi |j." FROM the view now taken of the ftyle of TACITUS, it mould feem, that it will not bear a comparifon with that of the wri- ters during the reign of AUGUSTUS. The age of high claffical purity was, in his days, pad ; and, of courfe, the grammati- cal ftandard eftablimed by practice had altered. As the firft wifh of our author mull have been to pleafe his contempora- ries, fo he would naturally adopt thofe modes of expreflion that were mod agreeable to them ; and we cannot fuppofe him able, though he had been difpofed, to refift that progrefs towards corruption which had already commenced. The impurities of his ftyle, at the fame time, can never cancel the dignity of his fentiment. In the one, we fee the Roman language, in fome degree, corrupted ; but, in the other, we fee human reafon pro- portionably improved. THE * Ann. lib. 4. cap. 9. •)- HESIOD. Ep. 5. 588. t Anp. lib. 6. cap. 9. [j Hift. lib. i. cap. 85. Of HISTORICAL COMPOSITION. 207 THE character of TACITUS as an hiflorian, though, upon, the whole, defervedly high j yet cannot, in every refpect, efcapc our cenfure. He pofTefTed powers perfectly adequate to the talk of fpeculating upon the affairs of men, as- becomes a philofo- pher. His fenfibility catched thofe delicate {hades in the hu- man character, of which ordinary obfervers lofe fight amidfl its great outlines. His fancy fuggefled the precife emotions mofl likely to arife in a trying fituation ; led him to adopt that language by which fuch emotions feek vent ; and to feize the circumflances, in every object defcribed, which ftrike the ob- ferver firft, and bring the reft along with them. His judgment difcriminated the genuine from the fpurious, however artfully embellifhed ; and, in the action even of complicated caufes, could affign the exact influence of each in the production of their common effects. But the ardour of his feeling, and the quicknefs of his fancy, fometimes betrayed him into errors. Strong as his judgment was, it did not always watch and con- trol their excefles. The elegance of his ftyle and fentiments, accordingly, degenerates, at times, into affectation, and their animation into extravagance. From the general vigour of his powers, he has thrown beauties into many pafTages which few writers, in any age, have rivaled, and which none have fur- pafled ; but, from an undue balance, occafionally exifting among thefe powers, certain pafTages are overwrought, and deformed by thofe attentions that were meant to improve them. SHAKESPEARE and TACITUS are, perhaps, the two writers who leave upon the minds of their readers the ftrongefl impref- fion of the force of their genius. Splendid beauties in each are but eclipfed by faults which would have cancelled the merit of ordinary performers. We mould, indeed, have no flandard for meafuring their excellence, did not the poet fometimes fhock us with his extravagancies, and the hiflorian with his conceits. THE 208 ESS AT upon the PR INC I PL E S THE opinions of the beft modern critics confirm the fa- vourable judgment given upon the writings of TACITUS. They were rated beneath their value by thofe who pretended to judge of them in the laft century. Mere philologifts might, indeed, detect impurities in our author's ftyle, and falfely afcribe that obfcurity to a fault in his diction, which, in fact, had its feat in the depth of his thought. Being void, how- ever, of that fcience which alone makes literature refpectable, no words could unfold to them thofe beauties upon which he meant that his reputation mould reft. Monfieur D'ALEMBERT *, and other French critics, whofe merit entitled them to direct literary opinions, faw the value of his works, and removed, in fome degree, the prejudices that had fubfifted againft them. The elegant Mr GIBBON tells us, " That, if we can prefer per- " fonal merit to accidental greatnefs, we mall efteem the birth " of the emperor TACITUS more truly noble than that of kings : " That he claimed his defcent from the philofophic hiftorian, " whofe writings will inftruct the laft generations of mankind f ." That the emperor did not feel himfelf difhonoured by the connec- tion, appears from his giving orders, that ten copies of TACITUS mould be annually tranfcribed, and placed in the public libra- ries. From the works of his immortal anceftor, he expected, that his fubjects would learn the hiftory, not of the Roman con- ftitution alone, but of human nature itfelf. By refcuing even a part of thefe from deftruction, he acquired a right to the gra- titude of pofterity ; becaufe he thereby preferred a mine, in which, the longer and the deeper we dig, we fhall find the richer ore. HOWEVER feeble this attempt to trace the principles of hiftorical compofition may have been, it may perhaps (hew, that TACITUS, and all fuccefsful hiftorians, have pleafed, not by accident, but by rigidly adhering to a ftandard which they » Melanges de Litterature, torn. 3. MorceaUK de TACITB. f Hift. vol. i. p. 325, Of HISTORICAL COMPOSITION. 209 they muft have previoufly difcerned. In fpite of thofe diverfi- ties in point of manner, and gradations in point of merit, which neceflarily take place among a number of writers, the leading characters of this ftandard muft be the fame to them all. A new proof may be thus had, that there is as certainly, in the nature of things, an immutable difference between beauty and deformity, as between truth and falfehood ; that the principle of tafte is more confident in its decifions than is generally fup- pofed ; and that, in all the fine arts, this principle is gratified when we obferve, and offended when we neglect, certain laws which are the bafis of juft execution, and of found criticifm in- each. END OF THE FIRST VOLUME. PRINTED BT NE.1LL fr CO. / -z* - ERRATA. Pbyf. CL page 98. line 1 2. for and x read and z. 213. line 5. for vis incita read WH /«/?/<». — 314. line 4. from the bottom, for greater readlefs. 324. The Author finds, on refuming the computations, that the error in latitude is but half a minute. Since this article was printed off, he has feen, in the Memoirs of the Academy of Berlin, Elements of this Orbit, by P. FIXLMILNER, and a comp art/on of them -with a great number of Obfervations. There is fame mijlake in this article of the Memoirs ; for the mean diflance and diurnal motion fet down in thofe Elements, are inconjiflent with each other, and both of them are incompatible with the Obfervations. The Author will jujl obferve, that the form of the Ellipfe is precifely the fame with that deduced by him from thefecond fuppojition refpecJing thefecond differences of the arches, and mentioned at the bottom of p. 322. 327. Tab. I. col. 3. line 2. for 10. 23. 06. 26 read n. 23. 06. 26. 332. Tab. V. col. I. lines 14, 15. for 01. O2 read iq, 2O. Lit. Cl. page 65. line 25. for Mr JOHN BARROW read Mr THOMAS BARROW. 116. line 16. for And to read And as to — — — — — 119. The four fir/I lines of the note fhould be a feparate note on page 123. taken off at the end of the 2d paragraph, at the "word prefiippofes. — — — — — — 127. line 25, for prepofition read proportion. ————— 206. Note •{-, for Ep. read Ejy. x«t iipf^. DIRECTIONS FOR THE BINDER. The Binder is defired to obferve that the VOL. confifts of Three Sets of Pages, to be arranged in the following order, immediately after the TABLE of CONTENTS, Wa. PART I. containing THE HISTORY OF THE SOCIETY : PART II. containing, L PAPERS OF THE PHT- SICAL CLASS ; II. PAPERS OF THE LITERARY CLASS : And^to place the two Plates, entitled Theory of the Earth, to front page 304. of Papers of the Phyfical Clafs, and the other Plates (which fold out) according to the references marked upon them.