Anne's theorem

The set of Anne, named after Pierre- Leon Anne (1806-1850), is a statement from elementary geometry that describes a certain decomposition of a convex quadrilateral in equal areas.

More precisely, the following statement applies:

In the case of a parallelogram is no Newton - Just because the diagonal centers coincide to a point. Also in this case, the condition of equality of area sum opposing triangles is met by each interior point.

It is the converse of the set of Anne, that is, for each point on the Newton - line that is within the corresponding quadrilateral area, the condition of equality is satisfied.