‎BEZOUT (E.)‎
‎Théorie générale des équations algébriques -- EDITION ORIGINALE -- BEL EXEMPLAIRE‎

‎P., Pierres, 1779; un volume grand in 4 (26 cm x 21 cm) relié en demi-basane marron, dos à nerfs (reliure XIXème), (manque de papier d'origine dans la marge inférieure du dernier feuillet de privilège), (2), 28pp., 471pp.‎

Reference : 541

‎---- EDITION ORIGINALE -- BEL EXEMPLAIRE GRAND DE MARGES ---- "In his Theory générale des équations algébriques, 1779, Bezout gave the method of elimination by linear equations. A beautiful theorem as to the degree of the resultant goes by his name...". (Cajori p. 249) ---- "It was not until 1779 that Bezout published his Théorie des équations algébriques, his major work on elimination theory. Its best-known achievement is the statement and proof of Bezout's theorem : 'The degree of the final equation resulting from any number of complete equations in the same number of unknowns, and of any degrees, is equal to the product of the degrees of the equations'... Bezout's work on resultants stimulated many investigations in the modern theory of elimination, including Cauchy's refinements of elimination procedure and Sylvester's resultants and inertia forms. Bezout's theorem is crucial to the study of the intersection of manifolds in algebraic geometry...". (DSB II pp. 111/115)**541/ARM3+542/ARB3+8072/ARB4‎