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Bankoff circle : ウィキペディア英語版
Bankoff circle

In geometry, the Bankoff circle or Bankoff triplet circle is a certain Archimedean circle that can be constructed from an arbelos; an Archimedean circle is any circle with area equal to each of Archimedes' twin circles. The Bankoff circle was first constructed by Leon Bankoff.〔.〕〔.〕〔.〕
==Construction==
The Bankoff circle is formed from three semicircles that create an arbelos. A circle ''C''1 is then formed tangent to each of the three semicircles, as an instance of the problem of Apollonius. Another circle ''C''2 is then created, through three points: the two points of tangency of ''C''1 with the smaller two semicircles, and the point where the two smaller semicircles are tangent to each other. ''C''2 is the Bankoff circle.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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