Aczel’s Theorem

A mathematical theorem that states that any finite set of points in a Euclidean space can be partitioned into two subsets of equal cardinality whose convex hulls intersect.

Aczel-Goddard Theorem

A mathematical theorem that states that any finite set of points in a plane can be partitioned into two subsets of equal cardinality whose convex hulls have the same area.

Aczel-Hales Theorem

A mathematical theorem that provides an upper bound on the volume of a convex body in terms of its surface area.

Aczel-Steiner Theorem

A mathematical theorem that states that the sum of the distances from any point inside a convex polygon to the vertices of the polygon is minimized when the point is the centroid of the polygon.