A treatise on surveying, comprising the theory and the practice (1906)
Gillespie, William Mitchell, 1816-1868, Staley, Cady, 1840- · New York D. Appleton · leaf 246
inFig. 476, h sin. (90° +1 i/r) = A C sin. i if/. Since AC=ptani/r,we have ^ sin. -k i!/ h = p tan. ij/ —TT^T — P ^^^- A ^^^* Fig. 477. cos. 4^ if/ ^il; = 2p tan.HiA— tan.^ ^ I 1 — tan. ^ i/rSince tj/ is very small, we may put [25.] tan.^i/f r- sin.^1 without appreciable error; whence [25]becomes… … 236 TEIGOXOMETRIC LEVELING. ^-(-A^i, 6 being the angular dip of the sea horizon, and we have,from page 2^9, A ^, = ;;j i/^; hence ^ = 0 + m ij/ = ^ZT^^i wliich, substituted in [27], dropping all terms involving higherpowers of \j/ than the second, gives * = i (1^^ ™- 1 (i + * (T^ =• 1) [^«-]…
Surveying
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