Notes on Roulettes and Glissettes - Softcover

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9781330181973: Notes on Roulettes and Glissettes

Synopsis

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.

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