Hesse's theorem

Hesse's theorem is a result in geometry that deals with the properties of projective spaces. Specifically, it states that if you have a configuration of points in a projective plane, under certain conditions, the points will lie on a conic (a curve defined by a quadratic polynomial). In a more precise sense, the theorem can be framed in terms of the collinearity of points and the conditions under which these points create a conic.