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Conic Sections Demo by Moh. Zuhdi Kurniawan

Conic Sections Demo by Moh. Zuhdi Kurniawan
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2016-09-17 14:06
FunctionTrigonometryCoordinate GeometrySolid GeometryGeometric Construction
In collections Irisan Kerucut
This example demonstrates the intersection of a cone with various plane sections to form conic curves (circle, ellipse, parabola, hyperbola). It involves core mathematical concepts like conic sections, rotations, angles, and planes. The construction uses GeoGebra commands and objects such as Intersect, Point, Cone, Rotate, Line, Angle, Plane, and PlaneBisector. Suitable for high school and above students studying analytical geometry, solid geometry, and conic sections, or for educational demonstrations.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → C
  2. Point(zAxis) → A
  3. Cone(A, C, 2) → a, c, e
  4. Point(c) → D
  5. Rotate(D, i) → E
  6. Line(E, C) → h
  7. Point(h) → F
  8. Point(zAxis) → B
  9. Line(A, B) → g
  10. Line(H, G) → m
  11. Cone(B, C, 2) → b, d, f
  12. Angle(g, h) → α
  13. Plane(H, h) → p_1
  14. Plane(H, m) → p_2
  15. PlaneBisector(H, G) → j
  16. Angle(g, j) → β
  17. IntersectPath(j, a) → q
  18. IntersectPath(j, b) → r