In this method we did two critical things. We orient the edge equations, and we compute the bounding box.

From analytic geometry we know that the area of a triangle {(x₁,y₁), (x₂,y₂), (x₃,y₃)} is:

The area is positive if the vertices are counterclockwise and negative if clockwise

An aside:

In terms of our discriminator, what does a positive C imply?