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A treatise on land-surveying; comprising the theory developed from five elementary principles; and the practice with the chain alone, the compass, the transit, the theodolite, the plane table, &c. Illustrated by four hundred engravings, and a magnetic chart (1875)

Gillespie, W. M. (William Mitchell), 1816-1868 · New York, D. Appleton · leaf 367

An illustration from A treatise on land-surveying; comprising the theory developed from five elementary principles; and the practice with the chain alone, the compass, the transit, the theodolite, the plane table, &c. Illustrated by four hundred engravings, and a magnetic chart, 1875, leaf 367
S60 LiriNG OUT AND DIVIDING UP LAND. [part xi DIVISION OF POLYGONS. (555) By lines running in any direction. Let ABCDEFG bea given polygon, and BH the di-rection parallel to -vvhicli is to bedrawn a line PQ, dividing thepolygon into two parts in any de-sired ratio = m : n. The area PCDEQ = ABCDEFG. … m -\- nTaking it from the area BCDEH,the remainder will be the areaBPQH. The quadrilateralBCEH, CE being supposed to be drawn, can then be divided bythe method of Art. (548), into two parts, BPQH and PQEC,having to each other a known relation. If DK were the given direction, at right angles to the…

Surveying

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