Axiomatic Geometry - Mathematics 360 - Spring 2009

For Homework 18

1. Let C be a circle. Let p and q be two distinct points on C. Prove that the line segment from p to q lies entirely inside the circle (except for p and q, of course, which are on, rather than inside, C). Before proving this, give precise definitions for "line segment from p to q" and for "inside the circle".