BILINEAR MATRIX-FORMS FOR THE AREA OF POLYGONS

Several matrix forms for computing the area of plane polygons are give n in this paper. The area of a simply connected polygon is computed as a bilinear function of coordinates of vertices and as a bilinear func tion either of signed or unsigned projections of edges. Special reduce d forms are given for orthogonal polygons. The paper also shows that t he area of a general polygon is a linear combination of the areas of t wo associated orthogonal polygons.