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单词 Monge's Problem
释义

Monge's Problem

Draw a Circle that cuts three given Circles Perpendicularly. The solutionis obtained by drawing the Radical Center of the given three Circles. If it lies outside thethree Circles, then the Circle with center and Radius formed by the tangent from to one of thegiven Circles intersects the given Circles perpendicularly. Otherwise, if liesinside one of the circles, the problem is unsolvable.

See also Circle Tangents, Radical Center


References

Dörrie, H. ``Monge's Problem.'' §31 in 100 Great Problems of Elementary Mathematics: Their History and Solutions. New York: Dover, pp. 151-154, 1965.


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更新时间:2025/4/5 15:31:14