Excerpt from The Transition-Curve Field-Book: Containing Full Instructions for Adjusting and Locating a Curve Nearly Identical With the Cubic Parabola in Transition Between Any Circular Railroad Curve and TangentIn the investigation of the principles upon which the rules are based, it will be seen that with data consisting in great part of familiar approximations used in circular-curve location, and with no mathe maties beyond a little algebra and trigonometry, practically exact results are reached in regard to laws of the Transition Curve and its relations to circular curves.By means of Transition Curves of less than 15° of central angle, tangents can be connected with all circular curves used on railroads, their combined location presenting little, if any, more difficulty than ordinary circular-curve location.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. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully, any imperfections that remain are intentionally left to preserve the state of such historical works.