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Practical conic sections 实用锥剖分

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Practical conic sections 实用锥剖分

最 低 价：￥97.20

定 价：￥219.00

作 者：J. W. Downs　著 著

出 版 社：

出版时间：2003-4-1

I S B N：0486428761

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    内容简介
    Illustrated with interesting examples from everyday life, this text on conic sections shows how to create ellipses, parabolas, and hyperbolas. It also presents fascinating historical background on the ancient origins and relationships of these shapes,with over 90 diagrams that illustrate their many everyday applications-from a flashlight's parabolic reflector to the hyperbolic shadow of a lampshade.
    The text starts with a discussion of techniques for generating the conic curves,one of which-the author's own Directing Circle method-can be used by students,drafters, and engineers to easily create accurate depictions of large or small conic curves. The book describes the reflective properties of the curves, explaining their relationship to light in telescopes and sound in microphones and amplifiers. It further defines the role of curves in the construction of auditoriums, antennas,lamps, and numerous other design applications.

    作者简介

    目录
    PREFACE
    INTRODUCTION
    CHAPTER ONE Deriving Ellipses
    CHAPTER TWO Deriving Hyperbolas
    CHAPTER THREE Deriving Parabolas
    CHAPTER FOUR The Directing Circle
    Constructing an Ellipse
    Constructing a Hyperbola
    Constructing a Parabola
    Points of Tangency
    Comparing Conic Curves
    CHAPTER FIVE Reflective Properties of Solid Conic Curves
    Ellipsoids
    Hyperboloids
    Paraboloids
    CHAPTER SIX Compound Reflectors
    Cassegrain Systems
    Gregorian Systems
    Using the Cassegrain Principle
    Compound Reflector Design
    CHAPTER SEVEN EccentriciW
    Special Cases
    CHAPTER EIGHT For Practical Purposes
    Telescopes
    Sound Applications
    Variations
    Acoustical Applications
    CHAPTER NINE Unusual Properties of Cones and Conic Curves
    An Interesting Proof
    Cones
    Ellipses
    Kepler's Laws
    Orbital Velocities
    Elliptical Gears
    Sketching Conics from a Formula
    Conclusion
    APPENDIX A Nonparabolic Reflectors for Antennas
    APPENDIX B Computer Program for Generating Conic Curves

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