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 520
n.The line AB is a side of the system whose ^ v^length has been found. From the measuredangles at A and B the approximate value ofthe angle (7 is found and the lengths of thesides a and b computed. At O the angleACB is measured with the same exactnessas though it were the angle C itself and… … C ■{■ y =^ C + X, or C=C+{x-y). . . (I) In the triangle ACC we have the sides b and r and theangle w^C6known, whence similarly sin X r= r sin b fi). 1 y = r sin a sin a * (2) Since x and^ are very small angles, their sines are propor-tional to their arcs, and we may write sin ;r = ;i: sin i^ where…
Surveying
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