“polar”的概念、定义、习题解题方法及翻译-数学辞典

单词

polar

释义

polar

Given a point P and a non-degenerate conic C, a line L can be associated with P as follows. Two tangent lines to C pass through P, and the points of tangency define the line L. This line is known as the polar of P, and P is known as the pole of L.

A pole P and polar L

In a projective plane (see projective space), this process gives a one-to-one correspondence between points and lines. If the conic has equation xTBx = 0, where B is a 3×3 symmetric invertible matrix, and P has coordinate vector p, then the equation of the polar is xTBp = 0.

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