208 HENRY SOTHERAN & CO., 140, STRAND, W.C, anb 37, PICCADILLY, W- 



4117 ROY [latine REQ-ITJS] (Hendrik van, Uniu. Utrecht) Philosophia Naturalis; in qua tota 

 Rerum Universitas, per clara et facilia Principia, explanatur ; with Jine portrait hy Matham, plates, 

 and numerous woodcuts, cr. 4to. old calf {slightly water-stained, but sound copy), lOs 6d 



Amstelwdami, Lud. et Daniel Elzevir, 1661 



Pp. 242-f)7 contain an inte resting account of the magnet, which is not mentioned in Sir Francis Ronalds's Catalogue. 



4118 ROY (Maj.-Gen. William, f.rs.) Account of the Measurement of a Base on Hounslow- 

 Heath, with ^folding plates of instruments, etc. by Basire, folding map, and tables, 4to. (pp. 94), 

 sewn [rare), \0s Qd 1785 



' The measurement of this base may be considered to be the foundation of the important Trigonometrical Survey of Gt. 

 Britain [_q. v., Nos. 3134-6).'— Pro/. Todhunter. 



' Roy selected Hounslow for a base line, which was measured in the summer of 1784 three times over by moans of cased 

 glass tubing, seasoned deal rods, and a coffered steel chain made by Ramsden, the length being 27,404 feet, and the dis- 

 crepancy between the several measurement under 8 inches. This work excited considerable scientific interest, the King, 

 the master-general of the ordnance, and many distinguished savants visiting Hounslow during its progress.'— CoL Vetch, R.E. 



4119 Account of the Trigonometrical Operation, whereby the Distance between the 



Meridians of the Royal Observatories of Greenwich and Paris has been determined, with 

 9 folding plates on copper of instruments, etc. by Basire, and 2 folding maps, 4to. (pp. 161), sewn, 

 Ss ed 1790 



An account of the common English and French survey of 1787. * In the summer of 1787 Roy carried his triangulation 

 from the Hounslow base to the Kentish coast, and on 23 Sept. met the French commissioners at Dover, and, after a con- 

 ference between them, the observations connecting the English with the French triangulations were made from both sides 

 of the Channel. A base of verification, 28,535 feet long, was measured on Romney Marsh under Roy's direction, and 

 found to differ only 28 inches from its calculated length as determined by the triangulations of the Hounslow base.'— CoZ. 

 Vetch, R.E. 



4120 The Same ; with Account of the Mode proposed to be followed in the Trigonometrical 



Operation for determining the relative Situation of the Royal Observatories of Greenwich 

 and Paris, with Observations on the Magnitude and Figure of the Earth, folding tables, 2 vols. 

 4to. ia. I, hf. calf gilt, with inscr. ' From General Melville. J. D. 5. Jan. 1804' on titles, 14* 1790-87 



See Maskelyne, post. 



4121 ROYAL COLLEGE of CHEMISTRY, Reports of the, and Researches conducted in the 

 Laboratories, 1845-7, 8vo. cl. {scarce), \Qs %d 1849 



The only volume ever published by this short-lived society, comprising Remarks on the Importance of cultivating 

 Experimental Science in a National Point of View, an Introduction, both by A. W. v. Hofmann, f.r.s., and Researches in 

 Inorganic and Organic Chemistry by the same (on the volatile organic bases), Frederick Field, C. B. Mansfield, H. M. 

 NoAD, F.R.S., Warren de la Rue (on cochineal), and others. 



A VERY FINE SET : 



4122 SOCIETY of CANADA, Proceedings and Transactions of the, complete from the 



beginning in 1882 to 1899 (Original Series, 12 v. 4to., and Spxond Series, Vols. 1-5,5 v. inipl. 8vo.), 

 ivith numerous portraits, plates, woodcuts, and maps, 17 thick vols, handsomely bound in crimson 

 morocco extra, with initials V.R. inlaid in white and blue morocco, g. e., £10. lO^ 



Montreal, 188S— Toronto, 1899 

 This beautiful set was presented by the Society to Queen Victoria, and each volume bears the Queens initials on the 

 sides. The first volume also contains official copies of letters from Lord Lansdowne to Lord Derby, and from the Society's 

 Secretary on presenting it to the Queen. 



4123 Volume IV onlv, with 12 plates, besides woodcuts, roy. 4to. cl., 5s Montreal, 1887 



of EDINBURGH— V. Edinburgh {No. 1148), ante. 



of LONDON, Philosophical Transactions of the — v. Philosophical 



Transactions {No. 3603), ante. 



4124 RXJDIMENTUM Anolo-Latinum Grammatics Literalis et Numeralis, in usum Schols 

 Regis Westmonasteriensis ; with diagrams, 8vo. fine copy in contemporary sheep {rare), \Qs Qd 



Londini, ex Officinci Eliz. Redmayne, 1688 

 The second part of the work contains Arithmetic, and is interesting as showing the standard of mathematical 

 knowledge deemed necessary for Westminster School at the period of the Revolution. 



4125 RTJDIO (Ferdinand, Zurich) Geschichte des Problems von der Quadratur des Zirkels von 

 den jiltesten Zeiten bis auf unsere Tage ; illustrated, 8vo. sewn, 4^ Leipzig, 1892 



By showing the transcendental value of the quantities e and tt, Hermite in 1S73 finally proved the impossibility of the 

 squaring of the circle by elementary geometrical means, the arithmetical solution of the problem having long been known 

 as impossible. 



RUDOLF (Christoph) Die Coss — v. Stifel, post. 



4126 RUFFINI (Paolo) Sopra la Determinazione delle Radici nelle Equazioni Numeriche di 

 QUALUNQUE Grado, impl. 4to. (?) Large Paper ; sewn, uncut {rare), 15s Modena, 1804 



This work received the prize of the Societa Italiana. 



Added is ' Riflessioni di Pietro Abbati intorno al Metodo di Lodovico Lagrange per la Soluzione delle Equazioni 

 Numeriche (pp. 29), Modena, 1S04. 



4127 Teoria Generals delle Equazioni, in cui si dimostra impossibile la Soluzione Algeb- 



raica delle Equazioni Generali di Grado Superiore al Quarto; with 2 folding tables, 2 vols. sq. 

 8\o. contemporary hf. calf gilt (rare), £1. Bologna, 1799 



Important as first maintaining'the impossibility of solving algebraic equations of the fifth or of a higher degree, the 

 proof of which was given by Abel in 1S26. 



'Though inconclusive, Ruffini's demonstrations are remarkable as containing anticipations of Cauchy's theory of 

 groups. '—Pro/. Cajori. 



4128 RUMFORD (Sir Benjamin Thompson, Count, f.r.s.) Essays, Political, Economical, 

 and Philosophical, new Edition, with numerous plates on copper and wood, besides woodcuts, 

 3 vols. 8vo. old inottled calf gilt (rare), £I. 10* 1800-2 



The first collected edition of the author's works. 



41'i9 Another Copy (Original Edition), Vols. I, II, and v. Ill pp. 1-191, with numerous 



plates and woodcuts ; sewn, uncut, £1. Is 1796-8[-1800] 



'Tyndall gave Rumford the credit of travelling with Sir John Leslie over common ground on the subject of radiant 

 heat and of anticipating Thomas Graham in experimenting on the diffusion of liquids, and also for the first accurate 

 determinations for the calorific power of fuel.* 



