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Conic Sections Demo by Loizos Loizou

Conic Sections Demo by Loizos Loizou
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2018-02-21 21:18
Coordinate GeometrySolid GeometryCalculusDerivativeGeometric Construction
This example demonstrates the formation of conic sections (ellipse, hyperbola, parabola) through the intersection of a plane with a cone. It involves core concepts like conic sections, differential calculus, rotation, general quadrilateral, hyperbola, and arithmetic operations. The construction uses commands such as InfiniteCone, Line, Plane, and IntersectPath. Suitable for high school students and math enthusiasts studying the properties and formation principles of conic sections.

GeoGebra Commands & Parameters

  1. InfiniteCone((0, 0, 0), (0, 0, 1), α) → a
  2. Line((0, 0, 0), (0, sin(β), cos(β))) → c
  3. Line(A, c) → e
  4. Line(A, (1, 0, h)) → b
  5. Plane(b, e) → d
  6. IntersectPath(d, a) → f