Conic Sections
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Conic sections are graceful curves that can be defined in several ways and constructed by a wide variety of means. Most importantly, when a plane intersects a cone, the outline of a conic section results. This book will attempt the observation and manipulation of conic sections via their many definitions. |  |
Contents
Conic Sections Introduction
Types of Conic Sections
Features of Conic Sections
- Foci of Conic Sections
- Conic Sections as Loci
- Eccentricity
Conic Sections as Algebraic Relations
- Intercepts of Conic Sections
- Translation of Axes
- Rotation of Axes
- Rotation of Axes (examples)
- Slopes of Conic Sections
Other Systems
- Conic Sections in Polar Coordinates
- Parametric Forms of Conic Sections
Example Problems
- The Ellipse
- The Parabola
- The Hyperbola
- Identifying Conics
- Rotating Conics
Conclusion
- Concluding Remarks
- Acknowledgements and Further Reading
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