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单词 Cramér-Euler Paradox
释义

Cramér-Euler Paradox

A curve of order is generally determined by points. So a Conic Section is determined by five points anda Cubic Curve should require nine. But the Maclaurin-Bezout Theorem says that two curves of degree intersect in points, so two Cubics intersect in nine points. This means that points donot always uniquely determine a single curve of order . The paradox was publicized by Stirling, and explained byPlücker.

See also Cubic Curve, Maclaurin-Bezout Theorem
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更新时间:2024/11/15 1:43:11