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单词 Apollonius' circle
释义

Apollonius' circle

Given two points A and B in the plane and a positive constant k, the locus of all points P such that AP/PB = k is a circle. Such a circle is an Apollonius' circle. Taking k =1 gives a straight line, so either this value must be excluded or, in this context, a straight line must be considered to be a special case of a circle (see circline). In the figure, k =2.

A circle of Apollonius with k = 2

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更新时间:2025/4/29 7:24:38