A treatise on surveying and navigation: uniting the theoretical, the practical, and the educational features of these subjects (1852)
Robinson, Horatio N[elson], 1806-1867. [from old catalog] · Cincinnati, J. Ernst · leaf 130
DIVISION OF LANDS. 125 triangle into two parts in the ratio 2 to 3, by a line running due eastand west. Let ABC be the given triangle, and BCthe required division line. It is required tofind the numerical value of A C or AB, tomake the area ABC § of the area ABC. Let b represent the side of the… … sin. 65° : x : : sin. 48° : AB Whence AB= -r sin. 48° (1) sin. 65° Now, by Prob. Ill, Mens., area ABC=\bc sin. A. /sin 48°\Also, area ABC=\[ gin 65Q Jx* sin. A By the conditions of our problem, we have the following pro-portion. be sin. A : I /sin. 48°\\sin. 65°) x2 sin. A : : 5 Or, sin. 48°sin.…
Surveying · Navigation
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