“Point-Quadratic Distance”的概念、定义、习题解题方法及翻译-数学辞典

单词

Point-Quadratic Distance

释义

Point-Quadratic Distance

Find the minimum distance between a point in the plane and a quadratic Plane Curve

(1)

The square of the distance is


			(2)

Minimizing the distance squared is the equivalent to minimizing the distance (since

and

have minima at thesame point), so take

(3)

(4)

(5)

Minimizing the distance therefore requires solution of a Cubic Equation.

See also Point-Point Distance--1-D, Point-Point Distance--2-D, Point-Point Distance--3-D

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