# maths

posted by
**jenny** on
.

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?