General Direct Method for Land Subdivision
Publication: Journal of Surveying Engineering
Volume 115, Issue 4
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.
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References
1.
Anderson, J. M., Mikhail, E. M., and Woolnough, D. F. (1985). Introduction to surveying. McGraw‐Hill Ryerson Ltd., New York, N.Y.
2.
Grossman, S. I. (1981). Calculus. 2nd Ed., Academic Press, New York, N.Y.
3.
Nathanson, J. A., and Kissam, P. (1988). Surveying Practice. McGraw‐Hill, New York, N.Y.
4.
Schmidt, M. O., and Wong, K. W. (1985). Fundamentals of Surveying. Prindle, Weber & Schmidt, Boston, Mass.
5.
Stoughton, H. W. (1986). “Subdivision of a quadrilateral for a specified area.” The Canadian Surveyor, 40(2), 146–172.
Information & Authors
Information
Published In
Journal of Surveying Engineering
Volume 115 • Issue 4 • November 1989
Pages: 402 - 411
Copyright
Copyright © 1989 ASCE.
History
Published online: Nov 1, 1989
Published in print: Nov 1989
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