HENRY SOTHEUAN & CO., HO, ST11AND, W.C., AND 37, PICCADILLY, W. 35 



681 CARACCIOLI (Giovanni Battista, Clericus Reg.) De LINEIS CURVIS; with 12 plates, sm.4to. 



old calf (fine copy), with bookplate of Philip 2nd Earl Stanhope, 5s Pisis, 1740 



on 



examination of a machine with 'perpetual motion' submitted to the author a "fact not noticed in Dircks's 'Perpetuum 



Mobile,' q. v. post. 



683 CABDANO (Girolamo) OPERA OMNIA: tain hactenus excusa ; hie tainen aucta et eiuendata ; 

 quani nuiiquain alias visa, ac primiiiu ex Auctoris ipsins Autograplris eruta : cura CAROLI SPONII, 

 M.D. ; with Jim, etched portrait ait. 68, 10 vols. large folio, LARGE PAPER; contemporary vellum, 

 gilt (FINE COPY) ; RARE, 8. 8s Lugduni, 1663 



084 '_ _ ARTIS MAGNA:, sire de REGULIS ALGEBRAICIS Liber unus, editio princeps; with diagrams, 

 and pen and ink portrait (added), folio, old vellum (title in rough fs., and some II. water-stained] ; 

 VERY RARE, 1. 10 Norimbcrgce, Joh. Petreius, 1545 



This work first contains ' Cardan's Formula,' the well-known theorem for solving cubic equations. Although named 

 after him, it was really invented by Tartaglia (<i. v. post), who confided it to Cardan, on the latter's insistent solicitations 

 and most solemn promises of secresy, broken in publishing the work. 



' The Ars Magna is a great advance on any algebra previously published. Hitherto algebraists had confined their attention 

 to those roots of equations which were positive. Cardan discussed negative and even imaginary roots, and proved that 

 the latter could always occur in pairs. Most of his analysis of cubic equations seems to have been original ; he showed that 

 if the three roots were real, Tartaglia's solution gave them in a form which involved imaginary quantities ... He 

 established the relations connecting the roots with the coefficients of an equation, and was aware of the principle that 

 underlies Descartes's 'rule of signs ',' etc. etc. W. W. R. Ball. 



6.85 - - In CL. PTOLOMAEI IIII de ASTRORUM JUDICIIS, ant, ut vulgo voeant. Quadripartite 

 Construction!* librosCoMMENTARlA ; ejusdem GENITURARUM ad hanc scientiani recte exercendam 

 observatu utilia EXEMPLA; with diagrams, 12mo. sound copy in old calf, with bookplate of F. Blouet 

 de Camilly, Bp. and Count of 1'ullc, 15s Lugduni, 1555 



686 - PRACTICA ARITHMETICS:, et MENSURANDI SINCULARIS, in qua qiuc prater alia cdtinentur, 

 versa pagina demonstrabit ; editio princeps ; with woodcut portrait on title, and numerous 

 diagrams, \2n\Q.finc copy in old French calf gilt (VERY RARE), 2. 2s Mediolani, 1539 



' Cette edition est rare.' Bnnut. 'A work of great merit for the time, which indirectly led to his renown as a 

 mathematician, by engaging him in a correspondence with Tartaglia.' 



687 - De RERUM VARIETATE Libri XVII, a prima editione ab ipso denuo authore recogniti, ac 

 plurilms locis locupletati, infinitisque mendis repurgati; accessit INDEX amplissimus ; with plates, 

 and numerous woodcuts and diagrams, thick 12mo. old vellum (52 II. in neatly written MS., a 

 number of II. water -stained, and a few mended), 12s Qd Avinione, 1558 



Second edition, preferred to the first of 1557. It forms a sequel to dc SuUilitate, and, together with it, contains the 

 author's notions on physics and metaphysics. ' The chief interest of the work consists in the hints and glimpses it affords 

 of principles beyond the full comprehension of the writer himself. The inorganic realm of Nature he asserts to bo 

 animated no less than the organic. The indefinite variability of species is implied,' etc. etc. ete.Ency. Brit. 



688 De SUBTILITATE Libri XXI. Ad illustriss. Principem Ferrandum Gonzagam, Medio- 



lanensis prouineise Prefect-urn, editio princeps ; with portrait on reverse of title, and numerous 

 other woodcuts, folio, old red vellum (title and some II. stained, but a large copy) ; very rare, 

 5. 5s Norimbergce, Joh. Petreius, 1550 



FIRST EDITION of the author's most celebrated work, and of GREAT RARITY. It is printed in a large Roman type, and 

 consists of 17 preliminary 11., and 371 numbered pp. Among other important physical investigations, it contains the first 

 description of a flour-sifting machine, and mentions the sifting property of undulating air -a fact only rediscovered and 

 made use of within recent times by F. G. Winkler. 



689 REPRINT OF THE ABOVE EDITION, printed in small type in italics, ivith numerous ivood- 

 cuts and diagrams, 8vo. old vellum (slightly water-stained, and back of binding damaged), 1. 5s 



Parisiis, M. Dupuys, 1551 



690 - - EDITIO SECUNDA, mine demuni recognita atque perfecta ; with fine portrait on reverse of title 

 (different from that in the first edition), and numerous other woodcuts and diagrams, folio, old 

 Italian white vellum extra (title slightly mended, otherwise a VERY FINE COPY), with contemporary 

 MS. notes (VERY RARE), 2. 10s Basilece, 1554 



SECOND ORIGINAL EDITION, greatly enlarged and wholly rewritten. It is beautifully printed in a large Roman type, 

 and contains for the first time the celebrated proposition: Igitur -his arliitrio victor to: relict is, which caused his accusa- 

 tion of heresy, and was left out in the third original edition of 1500. 



691 - - REPRINT OF THE ABOVE EDITION, with woodcuts, thick 8vo. old vellum, 1. Is Lugduni, 1554 

 692 EDITIO ALTERA, ab ipsa authoris recognitione, mine demum emaculatiores et longe per- 



fectiores reddita [cum INDICE locupletissimo] ; with numerous woodcuts and diagrams, thick 12mo. 

 old limp vellum, 18s Qd ibidem, 1580 



' Le de Subtilitate, ainsi quo le de Rerum VarinkUe, reu ferine toutes le.s connaissances de Cardan en physique, en meta- 

 physique et en histoire naturelle. . . L'auteur traite tons les su.jets, et fait de son ouvrage une sorte d'encyclopedie de la 

 science et de 1'industrie au XVIe siecle ; encyclopedic qui peut olt'rir de curieux renseignements.' Bioyr. Gen. His life by 

 Prof. Henry Morley is well known. 



693 - - : A BIOGRAPHICAL STUDY, 1501-76, by W. G. WATERS, Svo. cl., 5s Qd (p. 10s 6d) 1898 



C94 CABQ-ILL (Thomas) The STRAINS on BRIDGE GIRDERS and HOOF TRUSSES, including the 



Warren, Lattice, Trellis, Bowstring, and other Forms of Girder, etc. etc., 64 woodcuts, Svo. cl. (out 



of print), 5s Qd (p. 12s 6d) 1873 



695 CARLL (Lewis Buffett) TREATISE on the CALCULUS of VARIATIONS, presenting in all 



important particulars a Complete View of the present State of the Science, Svo. cl. (SCARCE), 



1. 2s Qd New York, 1881 



ENGLISH EDITION [Reprint on larger paper] , large Svo. cl, 1. 5s 1885 



The most comprehensive and best account of the subject in English. Both editions are now out of print and scarce. 



3 



