Excerpt from Switches and Crossings: Formulae for Ascertaining the Angles of Crossings, the Lengths of Switches, and the Distances of the Points of the Crossings and the Heels of the Switches From the Springing of the CurveIN the following investigations, a symbol is used to denote every element, so that the formulae will be applicable to every gauge, and to every section of rail.The formulae are based on the assumption that a sufficient degree of approximation to exactness is obtained by making the sine of the angle of the crossing equal to its circular measure. They have been sti]l further simplified by leaving out all squares, products, and terms of higher dimensions, of the spaces between the centre lines of contiguous rails, when these are not multiplied by factors greater than unity.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy.

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