9780521044448

Book of Curves

by
  • ISBN13:

    9780521044448

  • ISBN10:

    0521044448

  • Format: Paperback
  • Copyright: 2007-12-10
  • Publisher: Cambridge University Press
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Supplemental Materials

What is included with this book?

  • The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

Summary

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.

Table of Contents

Frontispiece: section of the shell of a Pearly Nautilus fossil
Preface
Historical Introduction
Notation
Special Curves
The parabola
The ellipse
The hyperbola
The cardioid
The lima on
The astroid
The nephroid
The deltoid
The cycloid
The right strophoid
The equiangular spiral
The lemniscate of bernoulli
The tractrix and catenary
Ways of Finding New Curves
Conchoids
Cissoids
Strophoids
Roulettes
Pedal curves
Negative pedals
Glissettes
Evolutes and involutes
Spirals
Inversion
Caustic curves
Bipolar coordinates
Further reading
Glossary
Index of names
Index of subjects
Table of Contents provided by Publisher. All Rights Reserved.

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