### Wallis (John)

## A Treatise of Algebra, both Historical and Practical

Shewing, the original, progress, and advancement thereof, from time to time; and by what steps it hath attained to the heighth at which now it is. With some additional treatises, I. Of the cono-cuneus; being a body representing in part a conus, in part a cuneus. II. Of angular sections; and other things relating there-unto, and to trigonometry. III. Of the angle of contact; with other things appertaining to the composition of magnitudes, the inceptives of magnitudes, and the composition of motions, with the results thereof. IV. Of combinations, alternations, and aliquot parts.

**Description:**
FIRST EDITION, with engraved portrait frontispiece by Loggan, and with 10 folding engraved plates, diagrams in the text, short portion of the top edge of 1 plate protruding slightly, a few scattered spots and minor browning,
pp. [xvi], 374, [iv], 17, [i], 76 [i.e.176], [i], 17, folio,
sumptuously bound in contemporary red morocco, gilt panelled sides, spine richly gilt, gilt edges, later pastedowns, minor shefl-wear, very good

**Publication Details:**
Printed by John Playford, for Richard Davis, Bookseller, in the University of Oxford, 1685

**Notes:** A choice copy of Wallis's famous mathematical work on algebra, his only book to be published in English, and the first recorded effort to give a graphical interpretation of the complex roots of a real quadratic equation. Some of his greatest work are contained here, 'including an exposition of infinite series and the first printed account ... of Newton's pioneering results. Wallis had long been afraid that foreigners might claim the glory of Newton's achievements as their own before Newton had done so ... In addition the book contains a full exposition of Algebra with its history in a hundred ...moreA choice copy of Wallis's famous mathematical work on algebra, his only book to be published in English, and the first recorded effort to give a graphical interpretation of the complex roots of a real quadratic equation. Some of his greatest work are contained here, 'including an exposition of infinite series and the first printed account ... of Newton's pioneering results. Wallis had long been afraid that foreigners might claim the glory of Newton's achievements as their own before Newton had done so ... In addition the book contains a full exposition of Algebra with its history in a hundred chapters, a feat never previously attempted by any author' (DSB). Wallis also devoted the final 28 chapters to a discussion of the methods of exhaustion and of indivisibles with reference to the Arithmetica infinitorum. A number of shorter treatises on analytic three dimensional geometry and sundry other topics of great significance are included, as well as various supplementary treatises concluding with Caswell's A Brief (but Full) Account of the Doctrine of Trigonometry.A pencil note on a fly-leaf identifies this as the Christie-Miller, Britwell, copy. The note is in the hand of Charles Traylen, who bought this copy at a Britwell sale at Sotheby's in 1971. There is something peculiarly satisfying about important English books of the Scientific Revolution in contemporary red morocco. **HIDE**

**Bibliography:** (ESTC R12258)

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**Price:** £17,500

**Subject:** Sciences

**Published Date:** 1685

**Stock Number:** 60420

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