HENRY SOTHERAN & CO., 140, STRAND, W.C, and 43, PICCADILLY, W. 393 



7674 EUCLID :— Dodgson (Charles Lutwidge, deacon; ' Lewis Carroll,' author of Alice in Wonder- 

 land ') Euclid and his Modern Rivals, tvith frontispiece and diagrams, post 8vo. cl. (scarce), 

 £1. 5s 1879 



* His oue valuable contribution to mathematics is ' Euclid and his Modern Rivals ' (1879). Many, excusably, refused 

 to accept the book seriously. It was dedicated to the memory of Euclid, and thrown into dramatic form, while scattered 

 up and down it were many jokes . . . But when stripped of its external eccentricities it was a really serious contribution 

 to Euclidean geometry, and went far to vindicate the unique position of Euclid's elements as a first text-book of geometry, 

 by a careful and systematic examination of the various treatises which had been produced by way of substitutes 

 for it.'— Z). N. B. 



7675 : Fine (Oronce, latine Orontius Fin^eus) In Sex Priores Libros Geometricorum 



Elementorum Euclidis Demonstrationes : quibus ipsius Euclidis Textus Grjecus suis Locis 

 insertus est : una cum Interpretatione Latina BARTHOLOMiEl Zamberti, ad Fidein geometricam per 

 eundem Orontium recognita ; with fine woodcut ornaments and initials, and numerous diagrams, 

 folio, old vellum (title wanting, and back of binding damaged) ; RARE, 16* 6rf 



Parisiis, Simon Colinceus, 1536 

 The above copy belonged to Albxis Claude Clairaut, and has a MS. title by him, and his autograph ' Clairaut ' on the 

 first page. The above is the first edition of Fine's Euclid ; it was reprinted in quarto in 1544 and 1551. 



7676 : Hawtrey (Stephen Thomas, pr. ; St. Mark's School, Windsor) INTRODUCTION to the 



Elements of Euclid: Familiar Explanations of the first XII Propositions of the First Book, 

 unth 4t folding plates, fcap. Svo. cL (o. p.), 3s 1874 



7677 : Wright (J. M. F.) Self-Examinations in Euclid, with diagrams, Svo. boards, 2s 6d 



Cambridge, 1829 



7678 EULER (Leonhard; F.R.S.) Compleat Theory of the Construction and Properties of 

 Vessels, with Practical Conclusions for the Management of Ships, made easy for Navigators, 

 translated by COL. Henry Watson, with 11 plates, Svo. hf calf, with auto, and inscr. by Eaton 

 Hodgkinson, F.R.S. [rare), \0s Qd ' 1776 



7679 Another Copy, boards, uncut, \Qs 



7680 New Edition, with Life of the Translator, vnth fine portrait {inserted), and 11 plates, 



8vo. cl. {rare), \Qs %d 1790 



' Watson enriched the work with many additions of his own, and the English edition has this superiority over the 



French— that it contains a supplement (on the Action of Oars) which Euler sent the translator in MS. just as he had 



finished the translation of the published French work. Watson applied the principles laid down in the construction of 



the vessels he built in India, which proved the fastest vessels then built.'— Coi. Vetch, R.E. 



7681 DiOPTRiCAE Pars I. : de Explicatione Principiorum, ex quibus Constructio tam Telescop- 



iorum quam Microscopiorum est petenda. Pars II : de Constructione Telescopiorum Dioptri- 

 corum. Pars III. : de Constructione Microscopiorum ; with 6 plates, 3 vols. 4to. sound copy in 

 contemporary calf gilt, with auto. o/SlR John Rennie, f.r.s. (rare), £1. 10s Petropoli, 1769-71 



The first volume contains the author's views on the relative merits of the emission and undulatory theories of light. 



7682 Elements of Algebra, translated from the French [by Francis Horner, m.p.], with 



the Notes of Daniel Bernoulli, and the Additions of J. L. Lagrange ; 4th edition, revised by 

 John Hewlett, b.d., with Memoir by Horner, thick 8vo. boards, uncut, 5s 1828 



The translation was the first work of that remarkable man Francis Horner, who matriculated at Edinburgh University 

 at the age of fourteen ; the first edition was published in 1797, in his nineteenth year. Two of his nieces, Mrs. Lyell and 

 Miss Joanna Horner, are still alive (April, 1912)— a striking link with the Eighteenth Century. 



7683 Fifth Edition, thick 8vo. cl., 6s 1840 



' The first volume treats of determinate algebra. This contains one of the earliest attempts to place the fundamental 

 processes on a scientific basis. This work also includes the proof of the binomial theorem for an unrestricted index , . , 

 The second volume treats of indeterminate or Diophantine algebra. This contains the solution of some of the problems 

 proposed by Fermat, which had hitherto remained unsolved.' — W. W. R. Ball. 



7684 ^l^mens d'ALGfeBRE, traduits de I'Allemand [par Daniel Bernoulli], Edition revue et 



augmentde de Notes par J. G. Garnier [et d' Additions par Joseph Louis Lagrange], 2 vols. 

 Svo. sewn, 6s 6d 1774 



Best French Editiok. 



7685 VOLLSTANDIGE Anleitung zur niedern und hohern Algebra, nach der franzosischen 



Ausgabe des de la Grange, mit Anmerkungen herausgegeben von J. P. Gruson, 2 vols. post8vo. 

 boards, 4s 6d Berlin, 1796-7 



7686 Institutiones Calculi Differentialis, cum ejus Usu in Analysi Finitorum ac 



Doctrina Serierum, editio princeps, thick 4to. old hf. ca//" (rare), £1. 10* Petropoli, 1755 



'The first text-book on the difl"erential calculus which has any claim to b« regarded as complete ; and it may be said 

 that many modern treatises on the subject are based on it.'—W. W. R. Ball. 



7687 Institutiones Calculi Integralis, in quo Methodus Integrandi a primis Principiis 



usque ad Integrationem yEquationum Differentialium primi Gradus pertractatur, cum Supple- 

 xnento, Editio Tertia [ultima]; with 3 plates, 4 vols. 4to. hf calf, or, hf. roan {sound copies), 

 £2. 25 ibidem, 1824-45 



' They were the most complete and accurate works on the calculus at that time, and contained not only a full summary 

 of everything then known on this subject, but also the Q and y Functions [invented by Euler], and other original 

 investigations.'— Pro/. Cajori. 



The supplementary volume, published in 1845, is scarce, and often wanting. 



7C88 Another Copy, without the Supplementary Volume, 3 vols. 4to. calf gilt, newly rebacked, 



unth auto, of Sir H. W. Elphinstone, £\. \0s ib., 1824-7 



7689 iNTRODUCnoN h. I'Analyse Infinitesimals, traduite, avec Notes et ^claircissements, 



par J. B. Labey ; with 16 plates, 2 vols. roy. 4to. sewn, 14* 1796-7 



The best French translation. 



7690 ; Introduction h. I'Analyse des Infiniment Petits, traduite par F. Pezzi et C. Kramp, 



avec I'Eloge par le Marquis de Condorcet, I^ Partie [? seule parue] , 8vo. boards, uncut, As 



Strasbourg, 1786 



