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September 19, 2014

September 19, 2014

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

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?

- maths -
**Steve**, Friday, October 12, 2012 at 3:41pmOf course not.

Each line can intersect any circle in at most two points.

The three lines can thus intersect a circle in at most 6 points.

- maths -
**jenny**, Friday, October 12, 2012 at 4:46pmhow do I draw them to prove it.

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