Posted by **jenny** on Friday, October 12, 2012 at 1:19pm.

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 nd a circle C7

with 7 points in common with the boundary of ABC?

(Just use trial and error for this question - draw lots of circles and triangles

how do I do this?

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