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Cone & Cylinder Geometric Demo

Cone & Cylinder Geometric Demo
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2015-11-20 21:18
Solid GeometryCalculusParametric EquationGeometric Construction
This example demonstrates the geometric construction and relationship between cones and cylinders. Core math concepts include solid geometry, geometric constructions, and parametric equations. Construction highlights involve using GeoGebra commands like Ellipse, Point, Segment, Midpoint, and objects such as i, H, E, r, h, M, W, B_1, A, D, c, F, G, e, B, a, C, b, d, J, N, O, k, I, K, L, f, g, S, P, j, l. Suitable for high school students and educators.

GeoGebra Commands & Parameters

  1. Ellipse(A, D, (2 / 3 * r) + h) → c
  2. Point(c) → G
  3. Segment(F, G) → e
  4. Point(c) → B
  5. Segment(F, B) → a
  6. Midpoint(G, B) → C
  7. Segment(F, C) → b
  8. Ellipse(E, H, (5 / 4 * i)) → d
  9. Point(d) → J
  10. Ellipse(N, O, (6 / 5 * i)) → k
  11. Point(k) → I
  12. Point(k) → K
  13. Point(d) → L
  14. Segment(K, J) → f
  15. Segment(I, L) → g
  16. Point(d) → S
  17. Point(k) → P
  18. Segment(P, S) → j
  19. Segment(C, B) → l