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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 82

An illustration from 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, leaf 82
Solution. First Method. Let A B (fig. 33) be the required distanceMeasure a line A C along the bank, and take the angles B A C andACB. Then in the triangle ^1 C Cwe have one side and two angles to nnd A B. 1( A Cis of such a length that an angle A CB = ^D A C can helaid off to a point on the… … Fig. 34. Second Method. Lay off ^ C (fig. 34) perpendicular to A B. Meas-ure xi C, and at Clay off CZ) perpendicular to the direction CB, andmeeting the line of /I B in D. Measure A D. Then the trianglesA CD and ABC are similar, and give AD : A C =- A C : AB. Therefore, AB ^ -^ . If from C,…

Railroad engineering · Ferrovias

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