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Book of Curves

£31.99

  • Date Published: December 2007
  • availability: Available
  • format: Paperback
  • isbn: 9780521044448

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  • 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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    Product details

    • Date Published: December 2007
    • format: Paperback
    • isbn: 9780521044448
    • length: 212 pages
    • dimensions: 246 x 189 x 11 mm
    • weight: 0.39kg
    • availability: Available
  • Table of Contents

    Frontispiece: section of the shell of a Pearly Nautilus fossil
    Preface
    Historical Introduction
    Notation
    Part I. Special Curves:
    1. The parabola
    2. The ellipse
    3. The hyperbola
    4. The cardioid
    5. The limaçon
    6. The astroid
    7. The nephroid
    8. The deltoid
    9. The cycloid
    10. The right strophoid
    11. The equiangular spiral
    12. The lemniscate of bernoulli
    13. The tractrix and catenary
    Part II. Ways of Finding New Curves:
    14. Conchoids
    15. Cissoids
    16. Strophoids
    17. Roulettes
    18. Pedal curves
    19. Negative pedals
    20. Glissettes
    21. Evolutes and involutes
    22. Spirals
    23. Inversion
    24. Caustic curves
    25. Bipolar coordinates
    Further reading
    Glossary
    Index of names
    Index of subjects.

  • Author

    E. H. Lockwood

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