‎CARNOT (L.N.M.)‎
‎Géométrie de position -- EDITION ORIGINALE -- BEL EXEMPLAIRE‎

‎P., Duprat, 1803, un volume in 4 relié en demi-basane, dos orné de fers et filets dorés (reliure de l'époque), (petit accroc sans gravité à une coiffe, petites auréoles dans la marge supérieure d'une dizaine de feuillets), (2), 38pp., 1 feuillet non chiffré, 489pp., 15 PLANCHES DEPLIANTES‎

Reference : 8077

‎---- EDITION ORIGINALE ---- BEL EXEMPLAIRE GRAND DE MARGE ---- "CARNOT's Géométrie de position is important contribution to modern geometry. While G. Monge revelled mainly in three-dimensional geometry, CARNOT confined himself to that of two. By his effort to explain the meaning of the negative sign in geometry he established a geometry of position, which, however, is different fromm the geometrie der lage" of to-day. He invented a class of general theorems on projective properties of figures, which have since been pushed to geat extent by J.V. Poncelet, Michel Chasles and others. Thanks to Carnot's researches, says J.G. Darboux, "the conceptions of the inventors of analytic geometry, Descartes and Fermat, retook alongside the infinitesimal calculus of Leibniz and Newton the place they had lost, yet should never have ceased to occupy". (Cajory p. 276) ---- DSB III pp. 70/79**8077/J1‎