HENRY SOTHERAN .^ CO., 140, STRAND, W.C, and 43, PICCADILLY, W. 557 



1 1220 MACLAUmN (Colin, f.r.s.) Account of Sir Isaac Newton's Philosophical Discoveries ; 

 published from the Author's MSS. [with Life (pp. 20)] by Patrick Murdoch, f.r.s., first 

 edition, with Q folding plates, 4to. old calf (joints cracked), 9s printed for the author's children, 1748 



This edition was published for the benefit of Maclaurin's children, and contains a long list of subscribers. 



11221 Second Edition, with % folding plates, 8vo. contemporary calf, with auto, p/" Richard 



Watson, d.d., f.r.s. (1737-1816), absentee Bp. of Llandaff, and his Calgarth Park booklabel, 

 6s Qd 1750 



11222 Third [last] Edition, ivith 6 folding plates, 8vo contemporary calf, 5s 1775 



Comprising : Of a Method of Proceeding in Natural Philosophy, and the various Systems of Philosophers ; Of the 



Theory of Motion, or Rational Mechanics; Gravity demonstrated by Analysis; The Effects of the General Power of 

 Gravity deduceiJ synthetically. The life prefixed is still the chief authority on Maclaurin. 



The last chai)ter treats ' Of the Supreme Author and Governor of the Universe, the true and living God', and ends with 

 an argument in favour of a future life, dictate<l but a few inomeuls before his death. 



11223 Geometria Organica: sive Descriptio Linearum Curvarum Universalis; with 



12 plates, 4to. boards, uncut (rare), £1. 5s Londini, 1720 



' Newton had discovered the theoron that if two angles of given magnitude l)e movable round their vertices, and the 

 intersection of a side of the one with a side of the other be made to travel along a straight line, the intersection of the other 

 pair of sides will descrilM; a conic. Maclaurin developes this into a general method of reducing the description of a curve 

 to the description of another curve of lower order ; the theory is one of much beauty and power '.—!) N. B. 



' The work contains an elaborate discussion on curves and their pedals, a branch of geometry which he had created.' — 

 ir. W. R. BaU. 



The above copy contains the leaf with Imprim'tur by Sir Isaac Newton, to whom the work is dedicated. 



11224 Treatise of Algebra, containing the Fundamental Rules and Operations, the Composi- 

 tion and Resolution of Equations of all Degrees, the ditterent Affections of their Roots, and the 

 Application of Algebra and Geometry to Each Other, with Appendix on the General 

 Properties of Geometrical Lines, first edition, with 12 folding plates, and numerous 

 diagrams, 8vo. old calf, newly rebacked (rare), I2s Qd 1748 



11225 Fine Paper Edition, thick 8vo. old calf, 15* 



11226 Second Edition [revised], urith ]2 folding plates, besides diagrams, 8vo. old calf trith 



bookplate of Sir John Francis Davis, 8s 1756 



11227 Third Edition [revised], with 12 folding plates, besides diagrams, 8vo. old hf. calf 



(rubbed), 6s 6d 1771 



11228 Fourth Edition [with Appendix (as below)], with 12 folding plates, besides diagrams^ 



8vo. old calf {joints cracked). Is 1779 



This as well as the following editions contain also as an appendix the translation by Johx Lawson, pr., of Sidney 

 Sussex College, of ' De Linearum Geometricarum Proprietatibus Generalibns Tractatus". The first three editions only 

 contain the Latin original. 



11229 Fifth Edition [unchanged], with \2 folding plates, besides diagrams, 8vo. old calfy 



5s 1788 



11230 Sixth [and last] Edition [unchanged], with \2 folding plates, besides diagrams, 8vo. 



old sheep (name cut off title), with auto, and bookplate of Prof . Lloyd Tanner, F.R.S., os 1796 



' It is a model of clear and terse exposition, and was in vogue as a Cambridge textbook for more than half a century.' — 

 Jk N. B. 



' Founded on Newton's Universal Arithmetic. It contains the results of some early papers of Maclaurin ; notably of two 

 on the number of imaginary roots of an equation, suggested by Newton's theorem ; and of one containing the well-known 

 rule for finding equal roots by means of the derived equation. In this book negative quantities are treated as being not 

 less real than positive quantities.'— JT. W. R. Bcdl. 



11231 Treatise of Fluxions, first edition, with 40 plates, 2 vols. 4to. in 1, old calf gilt 



(I Joint cracked), unth bookplate of Prof . Lloyd Tanner, F.R.S. (rare), \5s Edin., 1742 



11232 Another Copy, 2 vols, old calf (joints cracked), with Lord Auckland's bookplate, and 



auto, of Arthur Rawson Ashwell (fifteenth Wrangler; pr., biographer of Bp. Wilberforce), 

 1844, 155 



11233 Another Copy, 2 vols, calf gilt (fine copy), I85 6d 



11234 A Large and Thick Paper'Copy, 2 vols. 4to. old calf, newly and neatly rebacked, £\.5s 



11235 Second [and last] Edition, carefully corrected and revised, with Account of his 



Life, by an Eminent Mathematician [? William Davis, editor of 'The Gentleman's 

 Mathematical Companion'], with A\ folding plates, 2 vols. 8vo. hf calf (joints cracked); scarce f 

 I2s 6d 1801 



• Le chef-d'oeuvre de geometric qu'on pent comparer 4 tout ee qu'Archimede nous a laisse de plus beau et de plus 

 ingenieux.'— 7.^ra?i<7e. 



' The first logical and systematic exposition of the method of fluxions. The cause of it was an attack of [Georgel 

 Berkeley [Bp. of Cloyne] on the principles of the infinitesimal calculus [v. Xos. 0144-5 ante]. In it he gave a proof of the 



theorem that f(x) = f(o) + xf (o) +-r:Tf" (") + ... He also gave the correct theory of maxima and mir iiiia, and rules 

 for finding and discriminating multiple points. This treatise is however especially valuable for its solution of numerous 

 problems in geometry, statics, the theory of attraction, and astronomy'.— W. W. R. Bull. It also contains in a revised 

 form the author's prize essay on the gravitational theory of tides. 



' Gifted with a genius for geometrical invpFtigation second only to Newton's, Maclaurin had no need to abandon 

 Newton's methods in favour of any easier ; and it was nattirally more gratifying to his patriotism to develop the fluxional 

 calculus to its fullest extent than to resort to the differential metho<ls in use on the Continent. Tlie re«ult was that 

 Maclaurin, the one mathematician ol first rank trained in Great Britain in the Eighteenth Century, confirmed Newton's 

 exclusive influence over British mathematics ; and for three generations it was left to Continental mathematicians to 

 develop the modern methods of mathematical analysis '. — D. N. B. 



He sprang from ancestors long settled on the wild island of Tiree, the nearest land to the Skerryvore Lighthouse, who 

 had removed to Inveraray a<ter the Civil Wars. On the outbreak of the 'Forty-live he organised thedefences of Edinburgh 

 against the Jacobite troops, and worked day and night in planning and superintending the hastily raised fortifications. 

 The result broke down his health, and he died prematurely in June, 174(), aged forty-eight— the ^^er/crfw/^wi ingeiiiuM 

 6cofc»-(/m thus moving a mat hematici<in to defend Edinburgh in the Eighteenth Century as it- has moved our greatest 

 Hegelian to reorganise the British Army in the Twentieth in the person of the present Lord Chancellor. 



11236 MACLiAUItlN (James Scott; f.cs.) On the Action of Potassium-Cyanide Solution 

 upon Gold, icith 5 illustrationsy 8vo. (pp. 14), seirn, Is 6d [Auckland^ N.Z], 1896 



