Author: CHASLES, M.
Title: Traité de géometrie supérieure.
Description: Paris, Bachelier, Imprimeur - Libraire de l'école polytechnique, du Bureau des longitudes, Quai des August., 1852. Thick 8vo. W. 12 engr. folding pls. at the end. [plate IX loose, pls. 1-8 some foxing, 9-12 more so.]. Contemp. half black cloth, spine detached, partially missing. Inner hinges splitting. Needs binder's attention. (LXXXIV, 603 [603 errata], I (blank) pp.). (Light to medium foxing throughout.). (All edges of the bookblock vein marbled.). First edition of his first Sorbonne textbook. DSB III, p. 213: Michel Chasles (1793 - 1880), synthetic geometry, history of mathematics. 'Chasles wrote two textbooks for his course at the Sorbonne. The first of these, the "Traité de géométrie supérieure", is based on the elementary theories of the cross ratio, homographic ranges and pencils, and involution, all of which were originally defined and discussed in the 'Aperçu historique'; ... it was Chasles who developed the theory and showed its scope and power. This book, Chasles felt, showed that the use of sensed magnitudes and imaginary elements gives to geometry the freedom and power of analysis.': Smith I, p. 498: '... his treatise on higher geometry ... gave him a world-wide reputation.':

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