Practical Conic Sections The Geometric Properties of Ellipses, Parabolas and Hyperbolas

Name: Practical Conic Sections The Geometric Properties of Ellipses, Parabolas and Hyperbolas
Price: 4.9 USD
Availability: InStock
ISBN: 9780486428765

ISBN-10: 0486428761

ISBN-13: 9780486428765

Edition: 2003

Authors: J. W. Downs

List price: $12.95

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Description:

Illustrated with interesting examples from everyday life, this text shows how to create ellipses, parabolas, and hyperbolas. It also presents historical background on their ancient origins and describes the reflective properties and roles of curves in design applications. Only a basic knowledge of plane geometry needed. 1993 edition. Includes 98 figures.

Book details

List price: $12.95
Copyright year: 2003
Publisher: Dover Publications, Incorporated
Publication date: 10/18/2010
Binding: Paperback
Pages: 112
Size: 6.14" wide x 9.21" long x 0.50" tall
Weight: 0.418
Language: English



Preface


Introduction



Deriving Ellipses



Deriving Hyperbolas



Deriving Parabolas



The Directing Circle


Constructing an Ellipse


Constructing a Hyperbola


Constructing a Parabola


Points of Tangency


Comparing Conic Curves



Reflective Properties of Solid Conic Curves


Ellipsoids


Hyperboloids


Paraboloids



Compound Reflectors


Cassegrain Systems


Gregorian Systems


Using the Cassegrain Principle


Compound Reflector Design



Eccentricity


Special Cases



For Practical Purposes


Telescopes


Sound Applications


Variations


Acoustical Applications



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



Nonparabolic Reflectors for Antennas



Computer Program for Generating Conic Curves