614 HENRY SOTHERAN & CO. 140, STRAND, W.C., AND 43, PICCADILLY, W. 



12330 NABEB (H. A., Hoorri) Das THEOREM des PYTHAGORAS, wiederhergestelit in seiner 

 URSPRUNGLICHEN FORM und betrachtet als GRUNDLAGE der ganzen PYTHAGOREISCHEN 

 PHILOSOPHIE ; with Opiates and 104 text-illustrations, roy. 8vo. sewn, 4s (p. M. 7) Haarlem, 1908 



12331 NAGAOKA (Hantaro), Shinzo SHINJO, und B. OTANI : ABSOLUTE MESSUNG der 

 SCHWERKRAFT in Kyoto, Kanazawa, Tokyo, und Mizusawa, mit REVERSIONSPENDELN ausgefiihrt ; 

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



12332 NAGEL (A.) BESTIMMUNG von ZWISCHENPUNKTEN LANGER GERADER LINIEN, 4to. (pp. 14), 

 sewn, 1.9 Qd [Leipzig, 1882J 



12333 [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, Svo. (pp. 68), sewn (rare), 10s 60? 1787 



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

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

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

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

 of this machine [supra'] , which reached an eighth edition in 1796. It is still known as Nairne s electrical machine. \~D.N.L. 



At end is a list of mathematical, optical, and 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), 

 8s Qd 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 36 portraits, plates, and other illustrations, and map, 4to. 

 cl., uncut, t. e. g., 6s (p. 10s nett) Glasgow, 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 (John, 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 Svo. large copy in old calf (back of binding slightly damaged) ; RARE, 1. 1* 



Lugduni, Huguetan et Ravaud, 1658 

 Including a reprint of the author's famous work 'Mmmci LOGARITHMORUM CANONIS DESCRIPTIO' (v. Nos. 3180-7 



tnite), containing his invention of Logarithms, with the 'Canon' or Table, and his posthumous ' MIRIFICI LOGARITHMORUM 



CANONIS CONSTRUCT ', explaining the method of their construction. 



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



to Brunet. 



12337 De ARTE LOGISTICA Libri qui supersunt [edited, with Introduction (pp. 92), by MARK 



NAPIER], ivith fine mezzotint portrait cet. 66 by Hodgetts, and aquatint mew of Merchiaton Castle, 

 4 to. boards, 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 183!), under the title D Arte Ijogixtica, 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.PM Mac<lonal<f. 



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 Qd ibidem, 1889 



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

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



12339 : RABDOLOGLE, seu NUMERATIONIS per VIRGULAS Libri II : cum Appendice de expedi- 



tissimo MULTIPLICATIONS PROMPTUARIO ; quibus accessit & ARITHMETICAL LOCALIS Liber 

 unus. Authore & Inventore JOANNE NEPERO, Barone Merchistonii, &c. Scoto, editio princeps ; 

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

 OLD COPY) ; VERY RARE, 5. 15* ib., Andreas Hart, 1617 



A very fine and tall copy, measuring 5| x 3| inches. 



12340 - ANOTHER COPY, hf. green Levant morocco neat (A FINE AND TALL COPY, measuring 

 o\\ x Scinches), 5. 5s 



12341 - ANOTHER COPY, contemporary vellum (AN EXCEPTIONALLY TALL COPY, measuring 

 5-5- x 3. inches), 6. 6s 



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

 ' These rods, being usually made of bone or ivory, were familiarly called ' Napier's bones '. By means of them multipli- 

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

 arithmetic of the day. The extraction of the square and cube root could also be performed by their help, in conjunction 

 with two larger rods, the method of constructing which is described. In an appendix ' de expedi&ssimo Multiplication!* 

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

 by means of metal plates arranged inab x. This is the earliest known attempt at the invention 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. U. 



12342 EpiTIO SECUNDA ; with ( J folding plates on wood, 16rno. large and sound copy in con- 

 temporary limp vellum (RARE), 1. 15s Lugduni [Batav.}, Petrus Rammasenius, 1622 



'This edition, published at Leyden, contains exactly the same matter as that of the Edinburgh edition of Hi 17. 

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

 notation '.IV. R. Macdonuld. 



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 Brown, 

 and 5 plates, roy. 4to. boards, unc.ut (rare), 12s Qd Perth, 1787 



12344 ANOTHER COPY, calf (bark damaged, and portrait wanting), 8s Gd 



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



