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

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.
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Book details

List price: $12.95
Copyright year: 2003
Publisher: Dover Publications, Incorporated
Publication date: 10/18/2010
Binding: Paperback
Pages: 112
Size: 6.50" wide x 9.25" long x 0.50" tall
Weight: 0.484

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