Subdivision of a Quadrilateral for a Specified Area
Herbert W. Stoughton
Abstract
Herbert W. Stoughton
Abstract
The subdivision of parcels of land is a primary problem of the land surveyor. The subdivision of a quadrilateral (four-sided plane figure) to satisfy simultaneously a specified area and another requirement (i.e., specified frontage, sideline bearing) is a common assignment. The English language surveying literature does not contain a detailed discussion of this problem. Utilizing elementary trigonometrical and geometrical mathematics, this paper presents a set of formulas to subdivide a quadrilateral for any condition and specified area.
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The subdivision of parcels of land is a primary problem of the land surveyor. The subdivision of a quadrilateral (four-sided plane figure) to satisfy simultaneously a specified area and another requirement (i.e., specified frontage, sideline bearing) is a common assignment. The English language surveying literature does not contain a detailed discussion of this problem. Utilizing elementary trigonometrical and geometrical mathematics, this paper presents a set of formulas to subdivide a quadrilateral for any condition and specified area.
Key concepts: Quadrilateral, Subdivision, Plane (geometry), Set (abstract data type), Mathematics, Surveyor, Triangulation, Computer science