Indeed I did, but I think you're misinterpreting what I said. I only mention great circles because they are the geodesics of a sphere.
You're saying the planar equivalent of "Be careful you don't make your circle a straight line" just because I mentioned that radii were straight lines :)
I...
I'm intersecting a plane with a NURBS sphere, and I need the intersection in uv space, so I really do need the circle in spherical coodinates.
I found a possible path to a solution. A circle is just the distance from a point, so I'm going to try using the great circle distance equation to get...
I've got a unit sphere sitting at the origin. This sphere is cut by an arbitrary plane. I'm looking to find the equation of the circle that results from the intersection in spherical coordinates.
This is for a computer program I'm writing, and I've already set it up to approximate this by...