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 47
conditionmay be introduced, that the common tangent shall be parallel to theline joining the tangent points. Problem. Given the line AB = a (Jig. 12), which unites thefixed tangent points A and B, the angle IA B = A, and the angleA BI = B, to find the radii A E = R and B F = R of a compound.urve^… … angles A and B; for the angle D A C = ^ ID G = ^ IA B,sluA theangle G B C =---^ D G1 = h A B I. Then in the triangle A CB wo,have AC\AB^ sin. A BC : sin. A CB. But ACB= 180^ —(C^ Z5 + CB A) = 180 — 4 (^1 4- B), and as the sine of the sup-plement of an angle is the same as the sine of the angle…
Railroad engineering · Ferrovias
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