Paris: Courcier, 1807.
1st Edition. Hardcover. 4to - over 9¾ - 12" tall. Very Good. Item #003096
4to (255 x 195 mm). xx, , 502 pp., including half-title and errata leaf. Contemporary prize binding in green calf, spine lettered in gilt, boards and spine with embossed decoration and gilt ruling, each board with a central gilt vignette of the Academy of Paris lettered "Prix du concours général", and gilt-decorated edges and turn-ins, marbled endpapers, all edges gilt (rebacked with the original spine laid-down, little rubbing to boards and extremities, boards slightly stained and sun faded towards spine). Little browning and scattered foxing of text (half-title, title, preliminaries and final few leaves somewhat stronger), but otherwise quite crisp and clean. A few manuscript corrections in text. A very good, wide-margined copy. ----
FIRST FRENCH EDITION, and the first in a modern language, of the work which revolutionised number theory, and established Gauss as a mathematical genius. First published in Latin under the title Disquisitiones arithmeticae in Leipzig, 1801, this edition is dedicated to giant French mathematician Pierre Simon de Laplace. The translation was done by Antoine Charles Marcelin Poullet-Delisle (1778-1849), professor of mathematics at the Lyceum of Orleans. Gauss, the son of a bricklayer, had actually discovered the theory of quadratic reciprocity, which both Euler and Legendre had failed to prove, at no more than 18 years of age. He also described the discovery of a method of inscribing in a circle a regular polygon of seventeen sides - the first discovery of this kind in Euclidean geometry for over two thousand years. The book is divided into seven chapters: Des nombres congrus en général; Des congruences du premier degré; Des résidus des puissances; Des congruences du second degré; Des formes et des équations indéterminées du second degré, Applications des recherches précédentes, and Des équations qui déterminent les divisions du cercle. References: PMM 257; Dibner 114; Horblit 38; Norman 878 (all citing the original Latin edition).
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