“Soddy Points”的概念、定义、习题解题方法及翻译-数学辞典

单词

Soddy Points

释义

Soddy Points

Given three mutually tangent Circles, there exist exactly two nonintersecting CirclesTangent to all three Circles. These are called the inner and outer Soddy Circles, andtheir centers are called the inner and outer Soddy points. The outer Soddy circle is the solution to the FourCoins Problem. The center of the inner Soddy circle is the Equal Detour Point, and the center of the outerSoddy circle is the Isoperimetric Point (Kimberling 1994).

See also Equal Detour Point, Isoperimetric Point, Soddy Circles

References

Kimberling, C. ``Central Points and Central Lines in the Plane of a Triangle.'' Math. Mag. 67, p. 181, 1994.

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