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

单词

Inversive Distance

释义

Inversive Distance

The inversive distance is the Natural Logarithm of the ratio of two concentric circles into which the givencircles can be inverted. Let be the distance between the centers of two nonintersecting Circles ofRadii and . Then the inversive distance is

(Coxeter and Greitzer 1967).

The inversive distance between the Soddy Circles is given by

and the Circumcircle and Incircle of a Triangle with Circumradius

and Inradius

are at inversive distance

(Coxeter and Greitzer 1967, pp. 130-131).

References

Coxeter, H. S. M. and Greitzer, S. L. Geometry Revisited. Washington, DC: Math. Assoc. Amer., pp. 123-124 and 127-131, 1967.

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