Conic Sections

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.

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

Conclusion

  • Concluding Remarks
  • Acknowledgements and Further Reading
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