Conic Sections

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Conic Sections

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.

Of note is the fact that the book is under reconstruction. See the talk page.

Contents

Conic Sections Introduction

Types of Conic Sections

• General Conic Sections
• The Circle
• The Ellipse
• The Parabola
• The Hyperbola
• Lines and Points: Degenerate 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
• Conic Sections as Parametric Equations

Conclusion

• Concluding Remarks
• Acknowledgements and Further Reading