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Plane and spherical trigonometry (1887)

Wentworth, G. A. (George Albert), 1835-1906 · Boston, Ginn & company · leaf 243

An illustration from Plane and spherical trigonometry, 1887, leaf 243
Fig. 51 represents the cross section of an embankmentwhich is lettered so as to show its relation to Fig. 50. § 39. Kailroad Curves. When it is necessary to change the direction of a railroad,it is done gradually by acurve, usually the arc ofa circle. Let AB and AO (Fig.52) represent two lines tobe… … RAILROAD CURVES. 71 of curvature will depend on the angle A and the tangent AD.For, in the right triangle ADC, tan 2X4 C=Hence, r- ——-, or tan + ^1 = —AD 2 t t tan-J J.. First Method,

Trigonometry · Surveying · Navigation

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