Posted by **jenny** on Wednesday, October 10, 2012 at 12:51pm.

Let ABC be a triangle in the plane. Find circles C0;C1; : : : ;C6 such that Cj

has exactly j points in common with the boundary of ABC (this \boundary"

consists of the line segments AB, BC, CA). Is it possible to find a circle C7

with 7 points in common with the boundary of ABC?

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