2024 | OriginalPaper | Chapter
Conic sections
Author : Paris Pamfilos
Published in: Lectures on Euclidean Geometry - Volume 2
Publisher: Springer Nature Switzerland
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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