Plane trigonometry, and its application to mensuration and land surveying. Accompanied with all the necessary logarithmic and trigonometric tables (1852)
Perkins, George R. (George Roberts), 1812-1876 · New York, D. Appleton · leaf 163
d V the angle ABC.Also denote the side AB by#, and the area of the trian-gle by A. The above quan-tities are all supposed to beknown. For unknown quan-tities, assume AE=a?; BD=x; angle AEG = x ; angle BDF = x- A D Twice the area of the triangle AEG is x2 sin. 6 sin. x __ $ sin. 6 sin. x _ x* _ a… … Twice the area of the triangle DEH is (x + x—a)2 sin. x sin. x _ (x + # —a)* _ Asin. (x+xT ~ cotan. x + cotan. x~ % (3.) §85.] . SURVEYING. 153 If conditions (1), (2), and (3) are satisfied, the triangle ABCwill be divided into four equal parts by the two lines DF andEG. Now that these two lines…
Plane trigonometry · Surveying
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