I have an axis made up of 2 points in 3D space. This is the axis of a cone which extends outwards from one of these two points into space. The apex angle of this cone is known, theta.
I have a 2D plane at some distance from this cone and I am hoping to figure out the projection of this cone on the 2D slice. This question is fairly confusing so here is a picture of the scenario:
The points which make the axis can only be found in the cubic areas they sit it and the cone always extends in the forward direction. My maths is a bit rusty and I have tried to solve this myself to no avail. I am hoping to get a mathematical solution to determine the shape of the ellipses on the 2D plane.
Any help which can be given would be greatly appreciated.