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单词 Equal Detour Point
释义

Equal Detour Point

The center of an outer Soddy Circle. It has Triangle Center Function


Given a point not between and , a detour of length


is made walking from to via , the point is of equal detour if the three detours from one side to another via are equal. If has no Angle , then the point given by the above TrilinearCoordinates is the unique equal detour point. Otherwise, the Isoperimetric Point is also equal detour.


References

Kimberling, C. ``Central Points and Central Lines in the Plane of a Triangle.'' Math. Mag. 67, 163-187, 1994.

Kimberling, C. ``Isoperimetric Point and Equal Detour Point.''http://cedar.evansville.edu/~ck6/tcenters/recent/isoper.html.

Veldkamp, G. R. ``The Isoperimetric Point and the Point(s) of Equal Detour.'' Amer. Math. Monthly 92, 546-558, 1985.


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