MATH 2360Q Lecture 6: Section 3.3
Document Summary
A set of points s is said to be a convex set if for every pair of points a and b in s, the entire segment ab is contained in s. For every line l, the points that do not lie on l form two disjoint, nonempty sets h1 and h2, called half- planes bounded by l such that the following conditions are satisfied: If p h1, and q h2, then pq intersects l. Let l be a line and let a be an external point. Ha to denote the half-plane bounded by l that contains a. Let l be a line, let h1 and h2 be the two half-planes bounded by l , and let a and b be two external points. We say that a and b are on the same side of l if they are both in h1 or both in h2.
