“Humbert's Theorem”的概念、定义、习题解题方法及翻译-数学辞典

单词

Humbert's Theorem

释义

Humbert's Theorem

The Necessary and Sufficient condition that an algebraic curve has an algebraic Involute is that theArc Length is a two-valued algebraic function of the coordinates of the extremities. Furthermore, this functionis a Root of a Quadratic Equation whose Coefficients are rational functions of and .

References

Coolidge, J. L. A Treatise on Algebraic Plane Curves. New York: Dover, p. 195, 1959.

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