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 Trilinear Coordinates 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.

© 1996-9

1999-05-25