Alg & Geo 10: The Projective Plane

In this lecture, we'll define the projective plane as a first step in building towards Bezout's Theorem. We spend some time playing around with perspective drawings, both to tile the plane and draw 3-d images.

Then we'll define the real projective plane, beginning with projective plane axioms, then using the set of lines through the origin. Finally we'll introduce homogeneous coordinates to describe the points in the projective plane.