392 HENRY SOTHEEAN & CO., 140, STRAKD, W.C., AND 43, PICCADILLY, W. 



7657 EUCLID : EUCLID, BOOKS I, II, edited by CHARLES LUTWIDGE DODGSON (' LEWIS CARROLL '), 



4th Edition, with diagrams, 12mo. limp cl. (scarce), 6s Qd 1885 



' My aim has been to show what Euclid's method really is in itself, when stripped of all accidental verbiage and 



repetition . . . The chief novelty in this edition is the place assigned (for the first time, I believe) to the much-disputed 



axiom about the meeting of lines ' Preface. 



and his MODERN RIVALS v. DODGSON, post, no. 7674. 



7658 BOOK I, with Notes and Exercises, by BRAITHWAITE ARNETT, with diagrams, 



8vo. cl. (o. p.], 3s Qd Cambridge, 1885 



7659 , with Commentary, based principally on that of PROCLUS DIADOCHUS, by 



WILLIAM BARRETT FRANKLAND, 8vo. cl., 2s Qd (p. 6* nett) Univ. Press, ibidem, 1905 



7660 : EUCLID REVISED : the Essentials of the Elements as given in the first Six Books, with 



numerous Additional Propositions and Exercises, edited by R. C. J. NIXON, 2nd Edition, with 

 numerous diagrams, cr. 8vo. cl., 3s (p. 6s) Clarendon Press, Oxford, 1888 



7661 The ELEMENTS, Books I VI, by R. LACHLAN, revised Edition, with numerous diagrams, 



cr. 8vo. cl., 2s Qd (p. 4s Qd) [1899] 



7662 Les QUINZE LIVRES des ELEMENTS GEOMETRIQUES, traduicts de GREC en FRANCOIS, et 



augmentez de plusieurs figures et demonstrations, avec la correction des eneurs commises es 

 autres traductions, par P. LE MARDELE ; with fine engraved title, and numerous diagrams, 

 thick 12mo. fine copy in old white vellum, 10s Qd D. Moreau, 1622 



The above edition was unknown to Brunet and Graesse, who give the 1632 edition as the earliest issue of Le Mardele'a 

 translation. 



7663 , La PERSPECTIVE d', traduite sur le Texte Grec, Original de 1'Autheur, et demonstree 



par ROL. FREART DE CIIANTELOU, SIEUR DE CHAMBRAY ; with diagrams : Chaxnbray (Roland 

 Freart Sieur de) IDEE de la PERFECTION de la PEINTURE 2 vols. 4to. in 1, old French calf 

 (back damaged) ; rare, 15s Mans, 1663-2 



7664 : EUCLIDE Megarense Philosopho : Solo Introduttore delle Scientie Mathematice, 



diligentemente reassettato, et alia integrita ridotto, per NlCOLO TARTALEA [TARTAGLIA] 

 Brisciano, secondo le due Tradpttioni : e per commune commodo et utilita di latino in volgar 

 tradotta con una ampla expositione dello istesso tradottore di nuovo aggionta, ecc. ; with arms and 

 vignettes, and numerous diagrams on margins, folio, FINE COPY in old Italian vellum (back of 

 binding wormed) ; very rare, 2. 15s [col. :] Vinegia, Venturino Rojfinelli, 1543 



7665 ANOTHER COPY, old vellum (title and one I. mended, otherwise a VERY SOUND COPY), 2. 2* 



FIRST EDITION of Tartaglia's version, and of GREAT RARITY. It is not only the first Italian translation but the first 

 translation into any living tongue. 



' Rarissimo.' Biccardi. ' Premiere edition de ce travail estime. Les deux traductions dont s'est servi Tartaglia sont 

 celle de Campano et celle de Bart. Zamberto.' Brunet. 



7666 NUOVA EDIZIONE ; with curious woodcut initials, and numerous diagrams, sm. 4to. hf. 



vellum (slightly browned, and with a few wormholes) ; RARE, 1. Is ibidem, Curtio Troiano, 1565 



The fourth edition of Tartaglia's translation, which was reprinted in 1569. The la c t leaf bears the date 1566. ' At the 

 beginning is a lettione on the history of geometry, and in the XIV. Book are to be found xylographic figures of the fractions 

 used by the ancients.' Libri Catalogue. 



7667 QuiNTA EDIZIONE ; with numerous diagrams, sm. 4to. old Italian vellum (tear in title, 



and some II. slightly waterstained) ; RARE, 17s Qd ib., Giov. Bariletto, 1569 



QUINTO LIBRO degli ELEMENTI d'EucLiDE, da VINCENZIO VIVIANI (1674) v. VIVIANI, 



post. 



7668 De gli ELEMENTI Libri XV, con gli Scholii Antichi, tradotti prima in Lingua Latina da 



FREDERICO COMMANDING, e con Commentarj illustrati, dell' istesso trasportati nella Nostra 

 Vulgare, et da lui riveduti ; with numerous diagrams, folio, contemporary limp Italian vellum (one 

 corner waterstained, otherwise a large and very clean copy), 14s Urbino, 1575 



' Translated by Commandino's pupils under his own superintendence. The Prolegomeni and the Notes are very im- 

 portant. Commandino applies algebra to geometry with useful notations, amongst which we find not only the xr<e of 

 separate letters to express unknown quantities, but also the use of these same letters multiplied by other letters, without 

 any interposition, as mathematicians now use them.' Libri Catalogue. 



THE FIRST DUTCH EUCLID : 



7669 De SES EERSTE BOECKEN EUCLIDIS, van de beginselen ende fondamenten der Geometric, 



waer by ghevoecht zijn eenighe nutticheden, uyt de selve Boecken ghetrocken . . . overgheset, 

 verclaert, ende uytgheleyt door JAN PIETERSZOON Dou, van nieus oversien, verbetert, ende 

 vermeerdert ; with numerous diagrams, 12mo. cl. (title and a few II. waterstained, otherwise a 

 SOUND COPY) ; RARE, 1. \s Amsterdam, W. J. Blaeuw, 1626 



The earliest translation of Euclid into Dutch. 



7670 : COWLEY (John Lodges, F.R.S.) APPENDIX to the ELEMENTS of EUCLID, containing 45 



MOVEABLE SCHEMES for forming the various Kinds of Solids, and their Sections, by which the 

 Doctrine of Solids in the XL, XII., and XV. Books of Euclid is illustrated, and rendered more 

 easy to Learners than heretofore, 2nd Edition [enlarged], with 42 copperplates, with the figures 

 cut out to form solids, roy. 4to. boards, uncut (RARE), 1. Is T. Cadell [c. 1768] 



' This work is so constructed, that by means of the schemes traced on paste boards, and all cut out except the part 

 that forms the base of the figure, the form of any of the solids may be at once exhibited by raising up the different parts 

 upon their respective bases. By this contrivance any cabinet-maker can form out of wood, on any given scale, the figures 

 of the 5 regular solids, and most of the compound mathematical bodies. This work is now scarce.' Bibliographical 

 Miscellany (1806). 



7671 : GIORDANO (Vitale, da Bitonto) EUCLIDE RESTITUTO, overo gli antichi Elementi 



Geometrici ristaurati, e facilitati : la Compositione delle Proportioni secondo la Definitione datane 

 dal suo Antico Autore ; with numerous diagrams, thick folio, old Italian vellum (back slightly 

 damaged), 10s Qd Roma, 1680 



' Raro libro.' Riccardi. 



7672 : HEIBERG ( J. L. ; Univ. Copenhagen) LITTERARGESCHICHTLICHE STUDIEN iiber EUKLID ; 



with diagrams, 8vo. sewn, 3s Qd (p. M. 5.60) Leipzig, 1882 



