EUCLID. CHASLES, Michel (1793-1880)

Les trois livres de porisms d'Euclide , rétablis pour la première fois, d'après la notice et les lemmes de Pappus, et conformément au sentiment de R. Simson sur la forme des énoncés de ces propositions

Paris: Mallet-Bachelier, 1860.
8vo, pp. ix [1] 324, wood-engraved diagrams in the text. Leaf size and condition: 215 x 130mm. Foxed. Binding: Contemporary morocco backed boards, marbled endleaves. Provenance and annotation: Signature 'Déjeannes' on p. 1; some pencil annotation. References: Riccardi, Euclid p. 506.
First Chales edition.
§ An attempt to reconstruct the lost book of Porisms of Euclid, following in the footsteps of Fermat, Viète and many others. Chasles refers to the work of Robert Simson, a paper in Philosophical transactions and 'De porismatibus tractatus' in Opera quaedam reliqua (1776). Michel Chasles established his reputation as a geometer and historian of mathematics with his Aperçu historique (1837). The present work was a response to a point made there (note 3) which had given rise to controversy. 'Chasles felt that the porisms were essentially the equations of curves and that many of the results utilized the concept of the cross ratio' (Elaine Koppelman, DSB 3:214a).

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