Excerpt from Notes on Roulettes and Glissettes
These Notes have been out of print for a long time, and I have frequently been requested to produce a new edition, but, until recently, I have not been able to find the requisite the for the purpose of doing so.
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Excerpt from Notes on Roulettes and Glissettes
These Notes have been out of print for a long time, and I have frequently been requested to produce a new edition, but, until recently, I have not been able to find the requisite the for the purpose of doing so.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This 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.
Excerpt from Notes on Roulettes and Glissettes
The following pages contain the explanation of methods, and the investigation of formulæ, which I have for some time past found useful in the discussion of the curves produced by the rolling or sliding of one curve on another.
These methods and formulæ are with a few exceptions original, and, I believe, new; and my object has been to present, from a geometrical point of view, solutions of the various problems connected with Roulettes and Glissettes. I have ventured to introduce, and employ, the word Glissette, as being co-expressive with Roulette, a word which has been in use amongst mathematicians for a considerable time.
The formula of Art. (34) is of course well known; it is given in Salmon's Higher Plane Curves, in Walton and Campion's Solutions, in Jullien's Problems, in Bertrand's Differential Calculus, and probably in many other books.
The theorem of Art. (37) was enunciated some years ago, for the particular case of a conic, by Mr Wolstenholme, and extended by myself to the case of any curve. I have however recently found a reference to it in the Nouvelles Annales for June, 1869, from which it appears that it was given by Steiner in an early number of the same journal.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This 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.
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Librería: Forgotten Books, London, Reino Unido
Paperback. Condición: New. Print on Demand. This book delves into the geometrical phenomenon of curves traced by points and lines on moving curves, also known as roulettes and glissettes. The author presents their mathematical properties in detail, explaining how to use geometric methods to analyze them. The book begins with an introduction to the basic concepts, followed by a discussion of the curves generated by the rolling of one curve on another. The author then explores the curvature and envelopes of these curves. The book concludes with a chapter on the application of these concepts to various physical problems, such as the motion of planets and the design of gears. The insights provided in this book are valuable for mathematicians, physicists, and engineers interested in the geometry of motion. 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. Nº de ref. del artículo: 9781330181973_0
Cantidad disponible: Más de 20 disponibles
Librería: PBShop.store US, Wood Dale, IL, Estados Unidos de America
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781330181973
Cantidad disponible: 15 disponibles
Librería: PBShop.store UK, Fairford, GLOS, Reino Unido
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781330181973
Cantidad disponible: 15 disponibles