The theory and practice of surveying. Designed for the use of surveyors and engineers generally, but especially for the use of students in engineering (1886)
Johnson, J. B. (John Butler), 1850-1902 · New York, J. Wiley & sons · leaf 309
ions are known. This is called thethree-point problem. Let A, C, and B be the three shorepoints, being defined by the two distances a and b and the angle 280 SURVEYING. C. Let the two angles P and F be measured at the point P.The problem is to find the distances AP and BP. {a) Analytical… … From (2), y — R — x, and sin y = sin R cos ;tr — cos R sin ;tr. Substitute this value of sin y in (1), reduce, and find cot x = a sin P -f- b sin P cos Rb sin Psin R cot .£ # sin P \b sin P cos R + 1 (3) When # and j are found, the sides AP and i?P are readilyobtained. This is perhaps the simplest…
Surveying
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