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  3. Book of Curves
  • Cited by 141
Publisher:
Cambridge University Press
Online publication date:
May 2010
Print publication year:
1961
Online ISBN:
9780511569340
DOI:
https://doi.org/10.1017/CBO9780511569340
Subjects:
Mathematics, Geometry and Topology
Information

Book description

This book opens up an important field of mathematics at an elementary level, one in which the element of aesthetic pleasure, both in the shapes of the curves and in their mathematical relationships, is dominant. This book describes methods of drawing plane curves, beginning with conic sections (parabola, ellipse and hyperbola), and going on to cycloidal curves, spirals, glissettes, pedal curves, strophoids and so on. In general, 'envelope methods' are used. There are twenty-five full-page plates and over ninety smaller diagrams in the text. The book can be used in schools, but will also be a reference for draughtsmen and mechanical engineers. As a text on advanced plane geometry it should appeal to pure mathematicians with an interest in geometry, and to students for whom Euclidean geometry is not a principal study.

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