# Thread: Intersection of Plane and Sphere

1. ## Intersection of Plane and Sphere

Is it possible to obtain a set of equations representing the intersection of an arbitrary plane and a sphere centered at the origin? I've been trying to come up with a solution by parametrizing the surfaces but can't really seem to get anywhere. Help would be appreciated, thanks.

2. Originally Posted by Ultros88
Is it possible to obtain a set of equations representing the intersection of an arbitrary plane and a sphere centered at the origin? I've been trying to come up with a solution by parametrizing the surfaces but can't really seem to get anywhere. Help would be appreciated, thanks.
it would probably be best if you gave us the example you're doing. but a good general way to do this (at least the first approach--there may be better, easier ways depending on the problem) is to solve for one variable in the plane and plug that into the equation of the sphere, the resulting curve is the curve of intersection.