Field-book for railroad engineers. Containing formulas for laying out curves, determining frog angles, levelling, calculating earth-work, etc., etc., together with tables of radii, ordinates deflections, long chords, magnetic variation, logarithms, logarithmic and natural sines, tangents, etc., etc (1877)
Henck, John Benjamin, 1816-1903 · New York : D. Appleton · leaf 92
, be determined. The samemethod will apply to the other half of the parabola. The manner of obtaining the preceding formulte is as follows. Theradius of curvature at any given point on a parabola is, by the Differ-ential Calculus. R = 2^i^^.3 E ^ which p represents the parameter ofI lie parabola… … angle made with E Dhy n tangent at E, or since A B is parallel tothe tangent at E (§ 84, IV.), sin. E = sin. ADE = sin. BDE. Letp be the parameter for the diameter E D. Then, by Analytical Ge ometry, f p 8in.2 E2 8in.3 E ^c3 p sin 2 E. Therefore, at this point R = 2 8in.3 E ~2sihE■ ^^^P-^^ = Vd…
Railroad engineering · Ferrovias
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