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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 157

An illustration from Plane trigonometry, and its application to mensuration and land surveying. Accompanied with all the necessary logarithmic and trigonometric tables, 1852, leaf 157
146 x = y = z = SURVEYING. k + cP-V + c2m [chap. XI. where £ = ±\Zf (a2 &2 + JV + ^a*)-* (a4 + &4 + c% m = ± V2 (a2 + &2 + c2) + 6 A. PROBLEM X. From three points in the same horizontal plane, whose dis-tances from each other are known, the angles of elevation of thesummit of a hill or… … Denote AB, the height of the object required, by x. Let C,D, and E be the points from which the observations were made,and put DE = a; DC = b; CE = c. Also denote the angle ofelevation at C by a ; at E by j3 ; at D by y. Then we shall haveCA = x cotan. a; EA = x cotan. /3 ; DA = x cotan. y. In the…

Plane trigonometry · Surveying

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