614 HENRY SOTHEKAN & CO. 140, STRAND, W.C, and 43, PICCADILLY, W. 



10330 NABER (H. A., Hoorn) Das Theorem des Pythagoras, wiederhergestellt in seiner 

 URSPRUNGLICHEN FORM imd betraclitet als Grundlage der ganzen Pythagorkischen 

 Philosophie : with Splates and 104 text-ilhistrations, roy. 8vo. sewn, As (p. M. 7) Haarlem, 1908 



12331 NAGAOKA (Hantaro), Shinzo SHINJO, und R. OTANI: Absolute Messung der 

 Schwerkraft in Kyoto, Kanazawa, Tokyo, und Mizusawa, mit Reversionspendeln ausgefiihrt ; 

 with 2 folding plates and diagrams, 4ti). (pp. 91), sewn, 3s Tokyo, 1902 



12332 NAGEL (A.) Bestimmung von Zwischenpunkten langer gerader Linien, 4to. (pp. 14), 

 sewn, l.v Qd ^Leipzig, 1882J 



123.33 [NAIRNE (Edward, f.r.s.)] The Description and Use of Nairne's Patent Electrical 

 Machine -, with the Addition of some Philosophical Experiments and Medical Observations, with 

 5 folding plates, 8vo. (pp. 68), sewn {rare), IO5 6rf 1787 



' ' He constructed, on plans supplied by Priestley, the first considerable electrical machine made in England. In the 

 specilicaLion ot the patent it is described as a 'new invention and most usefull improvement in the common electrical 

 iiiachine (which I call the insulated medical electrical machine) by insulating the whole in a particular manner, and 

 constructing the conductors so chat either shocks oi- sparks may be received from them '. Nairne published a description 

 of this machine [siipm], which reached an eighth edition in 1796. It is still known as Nairne's electrical machine '.—D.N.B. 

 At end is a list of mathematical, optical, aud philosophical instruments, made by Nairne and Blunt, with prices, 



12334 Experiments on Electricity : an Attempt to shew the Advantage of Elevated 



Pointed Conductors, with 4 folding plates, 4to. (pp. 40), sewn, with author's inscr. (rare), 

 Ss 6d 1779 



a refutation of Benjamin Wilson, f.r.s., who advocated ball points for lightning conductors. It finally settled the 

 Question of ball versus needle points. The memoir also described and illustrated the author's electrical machine. 



12335 NAPIER (David) : Engineer, 1790-1869 : an Autobiographical Sketch, with Notes [and 

 Introduction by David Napier], with 3Q portraits, plates, and other illustrations, and map, 4to. 

 cL, uncut, t. e. g., Qs (p. 10* netl) Glasgoio, 1912 



Interesting in connexion with the early history of steam-navigation on the Clyde and Thames. It contains the 

 Parliamentary Report on Steam Navigation, and an account of the author's inventions, including that of the 

 .steeple engine. > , . ^ 



12336 [NAPIER, or NEPER (Jolin. Laird of Merchiston)] : Arcanum Supputationis 

 Arithmetics: quo Doctrina et Praxis Sinuum ac Triangulorum mire abbreviatur [sic] : Opus 

 curiosis omnibus, Geometricis praesertim, et Astronomis utilissimum. Inventore, nobilissimo 

 Barone Merchistonio Scoto-Britanno ; with vignette on title, and numerous diagrams, 

 large 8vo. large copy in old calf {back of binding slightly damaged) ; rare, £1. I5 



Lugduni, Huguetan et Ravaud, 1658 

 Including a reprint of the author's famous work 'Mirifici Logarithmorum Canonis Descriptio" (v. No-i. 3180-7 



anU), containing his invention of Logarithms, with the 'Canon' or Table, and his posthumous ' Mirikici Logarithmorum 



Canonis Constructio ', explaining the methcxi of their construction. 



This edition is a reprint of the Lyonese one oi 1620 (in itself a facsimile reprint of the original), and rare, being anknown 



to Brunet. 



12337 De Arte Logistica Libri qui supersunt [edited, with Introduction 'pp. 92), by Mark 



Napier], with fine mezzotint portrait cut. 66 by Hodgetts, and aquatint view of Merchiston Castle, 

 4to. hoards, uncut, £1. Is Edinburgi [Maitland Club], 1839 



' His earliest mathematical investigations seem to have been directed to systematising and developing the sciences of 

 algebra and arithmetic, and the fragments published for the first time in 1830, under the title D^ Arte Ijogistica, were the 

 result of his initial studies. Here he mentions that he was considering imaginary roots, a subject he refers to as an 

 algebraic secret, and that he had discovered a general method for the extraction of roots of all degrees '. — W. Ran Macdomihl. 



12338 The CONSTRUCTION of the Wonderful Canon of Logarithms, translated, with Notes, 



and Catalogue of the Various Editions of Napier's Works, by William Rae Macdonald, 

 cr. 4to. cl., uncut {scarce), 10s 6d ibidem, 1889 



Dedicated to Lord Napier and Ettrick, Napier of Merchiston's representative. It contains a very complete aiid 

 valuable bibliography of the author's works, as well as a biographical introduction. Only 250 copies were printed. 



12339 : Rabdologi^, seu Numerationis per Virgulas Libri II : cum Appendice de expedi- 



tissimo Multiplicationis Promptuario ; quibus accessit & Arithmetic ve Localis Liber 

 unus. Authore & Inventore Joanne Nepero, Barone Merchistonii, &:c. Scoto, editio princeps ; 

 tvUh 4 engraved folding tables, and other engravings on copper, 16mo. original limp vellum (A FINE 

 OLD copy) ; VERY RARE, £5. I5s ' ib., Andreas Hart, 1617 



A very fine and tall copy, measuring 5| x Z\ inches. 



12340 Another Copy, hf green Levant morocco neat (A fine and tall copy, measuring 



5t¥ X 'H inches), £.5. 5s 



12341 Another Copy, contemporary vellum (an exceptionally tall copy, measuring 



5|- X 31 inches), £6. 6s 



With dedication to Chancellor Seton, Earl of Dunfermline, in which Napier explains the title as numeration by little rods. 

 ' The.se rods, being u.sually made of bone or ivory, were familiarly called ' Napier's bones '. By means of them multipli- 

 cation ami division could be performed by methods which were received throughout Europe as a valuable aid to the rude 

 arithmetic of the day. The extracti<m of the square and cube root could also be performed by their help, in cou.junctiou 

 with two larger rods, the method of constructing which is described. In an appendix ' de expeditissimo Multiplicationis 

 Promptuario 'he explains another invention for the performance of multiplication and division — 'the most expeditious of all' 

 — by means of metal plates arranged inabi)x. Thisis the earliest known attempt at the invent ion of a calculating machine. 

 There is also added his ' Local Arithmetic,' wherein he describes how multiplication and division, and even the extraction 

 of roots, may be performed on a chess board by the movement of counters.' — D. N. B. 



12342 Editio Secunda ; with 9 folding plates on ivood, 16riio, large and sound copy in con- 

 temporary Limp vellum (RARE), £1. 15s Lugduni [Bxtav.], Petrus Bammasenius, 1622 



'This edition, published at Leyden, contains exactly the same matter as that of the Edinburgh edition of 1G17. 

 None of the plates, however, are engraved on copper. The decimal fractions are printed according to Simon Steviu's 

 notation '.—W. R. Macdonald. 



12343 : BucHAN (David Stewart, llth Earl of), and Walter Minto: Account of the Life, 



Writings, and Inventions of John Napier, of Merchiston, with portrait by Beugo after Broicn, 

 and 5 plates, roy. 4to. boards, uncut {rare), 12s 60? Perth, 1787 



12344 — Another Copy, calf {back damaged, and portrait wanting), 8s %d 



With appendix containing ' Analytical Theory of Logarithms ', ' The Hyperbola as connected with the Logarithms ', etc. etc. 



