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conic |
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conic [′kän·ik] (mathematics) A curve which may be represented as the intersection of a cone with a plane; the four types of conics are circle, ellipse, parabola, and hyperbola. Also known as conic section.
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It could only do some partial unifications, such as the geometry of conics and the theory of equations. In his Geometrie (1637) Descartes, although objecting to the "barbarous" notation of Arabic algebraists, followed Viete (who, surprisingly, is omitted from this History's biobibliographical index) and extended his analytic programme, drawing on Apollonius's Conics, as did Pierre de Fermat in his roughly contemporary work on plane and solid loci (726-30). It is for this reason that I decided to write about the Arabic translation of the Conics of Apollonius, and its impact on the research, as well as on the mathematics of Descartes and Fermat. |
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