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Conic sections

In: Lectures on Euclidean Geometry - Volume 2

Author

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  • Paris Pamfilos

    (University of Crete, Department of Mathematics & Applied Mathematics)

Abstract

Intersections of a right circular conical surface Σ with a plane ε, orthogonal to its axis and not passing through its apex O, are circles (Proposition 4.8). When the plane is not orthogonal to the axis of Σ, the resulting intersections are ellipses, parabolas and hyperbolas

Suggested Citation

  • Paris Pamfilos, 2024. "Conic sections," Springer Books, in: Lectures on Euclidean Geometry - Volume 2, chapter 0, pages 317-398, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-48910-5_6
    DOI: 10.1007/978-3-031-48910-5_6
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