A treatise on surveying ; in which the theory and practice are fully explained (1860)
Alsop, Samuel · Philadelphia, E. C. & J. Biddle & co. · leaf 257
one side being 11.25 chains, and the adjacent angle73° 25. Ans. AC 6.49 chains. Ex. 3. Given AB K 85° W. 16.37 chains, BDS. 32£° W., to determine its length so that the parallelogram ABCDmay contain 16 acres. Ans. BD = 10.99 chains. Ex. 4. The bearings of two adjacent sides of a tract ofland being… … 379. Lemma.—If ABC (Fig. 170)be any triangle, and CD a line inany direction from the vertex cut-ting AB in D, and if AF be takena mean proportional between ABand AD, and FE be drawn parallelto DC, the triangle AFE = ABC. Demonstration.—Since AD : AF :: AF : AB, we have (Cor. 2, 20.6) AD : AB :: ADC…
Surveying
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