Abstract:
This article discusses the development of converse Leon Anne’s Theorem in crossed
quadrilateral. This theorem initially applies to a convex quadrilateral with the balance
property obtained if the area of two opposite triangles is half the area of the
quadrilateral. In the case of the a crossed quadrilaterals, balance property is obtained
from the difference of the area of two certain triangles that passes through
the line Newton. Than it shows that each point on Newton’s line of crossed quadrilaterals
is balanced property.