Homogeneous Coordinates Part 1

Homogeneous coordinates provide a powerful way to approach the projective plane analytically. By describing each point in the plane as the ratio of three numbers, homogeneous coordinates allow one to refer to points on the `line at infinity' on the projective plane, and hence describe the projective plane in its entirety. Important notions like those of collineations and correlations see clearer under homogeneous coordinates and this leads us to a better understanding of the true nature of conic sections. In this, first part, we examine the basic definitions and ideas behind modeling the plane via homogeneous coordinates.

Details about the polarities refered to can be seen in my video:
`An Introduction To Counter Space'
https://www.youtube.com/watch?v=mGf36UQ9elE

Видео Homogeneous Coordinates Part 1 канала Richard Southwell