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 59
= 180°— (E BF — S), and BFK = 180° —BFK = 180^ — (BFE -\- EFK) = 180° — {EBF + F).Therefore, FBK—B FK = F + ^. Lastly, Fi3 K-\- B FK =180 —K Substituting these values in the preceding proportion, wehave 2R-\-d: q — d= tan. (90° — ^K) : tan. i (F + S), or ,an. (90° - i A^) =. (2A±^^i^±^ . But tan.… … sin. BCF = COS. ^K. Moreover, BFC=^(F+ S); for BFK= KFC—BFC,and FB K= KC F-\-B F C = KF C + BF C.Therefore, FBK—B FK=2B F C. But, as shown above, FBK—BFK= F+ S. Therefore, 2 BFC = F-}-S,ovBFC=^ {F-\-S).Substituting these values in the expression for B F, we have, as before. BF= (ff — ^) cos. hK*…
Railroad engineering · Ferrovias
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![An illustration from Nicolai Copernici Torinensis De reuolutionibus orbium coelestium, libri VI : Habes in hoc opere iam recens nato, & aedito, studiose lector, motus stellarum, tam fixarum, quàm erraticarum, cum ex ueteribus, tum etiam ex recentibus obseruationibus restitutos: & nouis insuper ac admirabilibus hypothesibus ornatos. Habes etiam tabulas expeditissimas, ex quibus eosdem ad quoduis tempus quàm facillime caculare poteris. Igitur eme, lege, fruere. [Line in Greek] (1543)](https://img.insideoutlibrary.com/img/200/ia-nicolaicopernici00cope-388-268.webp)
