Question 196758
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The perpendicular bisectors of the sides of any triangle intersect in a common point called the circumcenter of the triangle.  The circumcenter has the property that it is equidistant from each of the three vertices of the triangle.  Therefore, a circle with center at the circumcenter and radius equal to the distance from the circumcenter to one of the vertices of the triangle will pass through all three vertices.


See:

http://www.mathopenref.com/trianglecircumcenter.html


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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