General Direct Method for Land Subdivision

Abstract

The existing methods of land subdivision have been based on trialand‐error procedures and normally involve intermediate computations of geometric and trigonometric elements. This paper presents a method, which is in the form of general formulas that can be applied to any land shape, that provides the subdivision results directly. The method is based on the Cartesian coordinates of the land boundary. The subdivision satisfies a specified area and another requirement of the subdividing line. Three such requirements are considered: one boundary point of the subdividing line is fixed, its orientation is fixed, or the line must pass through an interior point. For some special cases, the method involves the rotation of the Cartesian axes before the formulas are applied. A computer program employing the presented method is included.