A treatise on surveying and navigation: uniting the theoretical, practical, and educational features of these subjects (1857)
Robinson, Horatio N[elson], 1806-1867. [from old catalog] · Cincinnati, J. Ernst; Toledo, Anderson, Burr, & co. · leaf 128
triangle into two parts in the ratio 2 to 3, by a line running due eastand west. Let ABO be the given triangle, and BOthe required division line. It is required tofind the numerical value of A C or AB, tomake the area AB C § of the area ABO. Let b represent the side of the triangleopposite B, and c… … Whence AB= sin. 48° sin. 65°Now, by Prob. Ill, Mens., area ABO=\bc sin. A. -■, /sin. 48°\ Also, (i) x2 sin. A By the conditions of our problem, we have the following pro-portion. sin. 48°\ I be sin. A < 5: 2 Or, sin. 48° be : =—wfoX2 :: 5 2 (2) sin. 65° We may here stop, and make the problem…
Surveying · Navigation
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