1986GEOMATICARequires access

Subdivision of a Quadrilateral for a Specified Area

Herbert W. Stoughton

Open publisher page 4 citations

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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What this paper is about

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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Available 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.

Key concepts: Quadrilateral, Subdivision, Plane (geometry), Set (abstract data type), Mathematics, Surveyor, Triangulation, Computer science

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