History of Analytic Geometry
Specifically designed as an integrated survey of the development of analytic geometry, this classic study takes a unique approach to the history of ideas. The author, a distinguished historian of mathematics, presents a detailed view of not only the concepts themselves, but also the ways in which they extended the work of each generation, from before the Alexandrian Age through the eras of the great French mathematicians Fermat and Descartes, and on through Newton and Euler to the "Golden Age," from 1789 to 1850. Appropriate as an undergraduate text, this history is accessible to any mathematically inclined reader. 1956 edition. Analytical bibliography. Index.
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abscissas algebra to geometry algebraic geometry analysis analytic geometry ancient angle Apollonius appeared application of algebra Archimedes arithmetic axes axis Bernoulli calculus Cartesian geometry century circle classical conic sections coordinate geometry cubic deﬁned deﬁnition Descartes determined edition elementary ellipse etry Euler Fermat ﬁeld ﬁgures ﬁnd ﬁnding ﬁrst ﬁve formulas geometric constructions géométrie Gergonne Geschichte given graphical Greek H. G. Zeuthen history of analytic hyperbola idea inﬁnite inﬁnitesimal inﬂuence intersection Jean Bernoulli known L’Hospital la géométrie Lacroix Lagrange Lahire later Leibniz linear loci locus Loria mathematicians mathematics mathématiques Menaechmus method modern Monge Newton notation Oeuvres ordinates Oresme Pappus parabola Paris perpendicular Pliicker polar coordinates polynomial Poncelet problems properties quadratic equations quadric quartic radius ratio rectangular reference second degree segments signiﬁcance solid analytic geometry solution solved speciﬁcally straight line surfaces symbolic synthetic synthetic geometry tangent textbook theorem theory three dimensions tion treatise variables Viete Wallis