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Intersection of Two Cones by Andrey Ivanov

Intersection of Two Cones by Andrey Ivanov
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2015-12-11 17:02
Coordinate GeometrySolid GeometryGeometric Construction
This example demonstrates the cross-sections of two cones. Key mathematical concepts include solid geometry and coordinate geometry. Using GeoGebra commands such as Point, Intersect, Cone, Plane, Circle, Rotate, etc., the intersection of two cones can be constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Point(zAxis) → B
  3. Point(yAxis) → C
  4. Point(xAxis) → D
  5. Intersect(zAxis, yAxis) → E
  6. Cone(E, D, 3) → b, c, d
  7. Point(xAxis) → F
  8. Cone(E, F, 3) → e, f, g
  9. Point(xAxis) → G
  10. Plane(A, C, G) → a
  11. Point(yAxis) → H
  12. Point(yAxis) → I
  13. Point(xAxis) → J
  14. Circle(H, I, J) → h
  15. Point(zAxis) → M
  16. Rotate(A, γ, E, xOyPlane) → A'
  17. Angle(A, E, A', xOyPlane) → α
  18. Line(A', E) → i
  19. Intersect(i, h) → K, L
  20. Point(zAxis) → N
  21. Plane(L, K, N) → j
  22. IntersectPath(j, b) → k
  23. Corner(k) → O, P, Q, R
  24. IntersectPath(j, e) → p
  25. Corner(p) → S, T, U, V