Excerpt from Field Manual for Engineers
In Chapter IV the laws of errors in field-work are demonstrated and illustrated; and the best method of conducting a preliminary survey, introduced by the author a generation ago, is explained.
In Chapter V simple and exact formulas for determining the height of a mountain or other object by the dip of the horizon are substituted in place of the approximate formulas in use.
For the stadia, as well as for the telemeter, new formulas are found which require no general computation; and the formula for finding the proper elevation on curves, unlike other formulas, involves no large factors.
In addition to a very general treatment of Compound Curves, Chapter VI includes the location of such curves of any number of branches (pp. 143-5), as well as easy and symmetrical formulas for finding their tangents (p.176).
The reader interested in the philosophy of mathematics will find, it is hoped, an elegant and fruitful illustration of the principles of substitutions in determining general curves to fulfill required conditions on pages 145, 146. This is susceptible of general application. There has also been added a general treatment of the subject of Curves tangent to Curves, including the "Wye Problems"; and also that of Concentric Curves applicable to Parallel Turnouts.
The finding of the angles between the rails at the crossings of curved tracks is also thought to be a valuable addition.
Chapter VII includes a variety of problems in Reversed Curves. The solution of Problems IV, V, and VI were first given to the Senior Class(1869) of the University of Michigan, while the author was in temporary charge.
Chapter VIII treats extensively of Turnouts. The distinction between connecting a straight line and a track, and two tracks, and what is required in each case, is shown on pages 199, 200.
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This book was originally published prior to 1923, and represents a reproduction of an important historical work, maintaining the same format as the original work. While some publishers have opted to apply OCR (optical character recognition) technology to the process, we believe this leads to sub-optimal results (frequent typographical errors, strange characters and confusing formatting) and does not adequately preserve the historical character of the original artifact. We believe this work is culturally important in its original archival form. While we strive to adequately clean and digitally enhance the original work, there are occasionally instances where imperfections such as blurred or missing pages, poor pictures or errant marks may have been introduced due to either the quality of the original work or the scanning process itself. Despite these occasional imperfections, we have brought it back into print as part of our ongoing global book preservation commitment, providing customers with access to the best possible historical reprints. We appreciate your understanding of these occasional imperfections, and sincerely hope you enjoy seeing the book in a format as close as possible to that intended by the original publisher.
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Vendeur : Forgotten Books, London, Royaume-Uni
Paperback. Etat : New. Print on Demand. This comprehensive guidebook provides a thorough introduction to plane trigonometry, covering all the essential concepts and techniques. Written with clarity and precision, it makes complex principles accessible to students and practitioners alike. Exploring the fundamental relations between sides and angles, this book delves into the heart of right triangles, establishing the invaluable ratios of sine, cosine, tangent, cotangent, secant, and cosecant. These concepts form the foundation for understanding the behavior of triangles and their applications in various fields. The book seamlessly blends theoretical explanations with practical examples, illuminating the significance of trigonometry in surveying, engineering, navigation, and other disciplines. Its emphasis on problem-solving equips readers with the skills to tackle real-world scenarios with confidence. Through its systematic approach and comprehensive coverage, this book serves as an indispensable resource for students of mathematics, engineering, architecture, and anyone seeking a deeper understanding of trigonometry. Its insights and applications make it an invaluable tool for unlocking the secrets of triangles and their multifaceted role in our world. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N° de réf. du vendeur 9781330479506_0
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Vendeur : PBShop.store US, Wood Dale, IL, Etats-Unis
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781330479506
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Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781330479506
Quantité disponible : 15 disponible(s)