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'Cube' and Circles Interaction

'Cube' and Circles Interaction
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2017-07-23 03:20
CircleCoordinate GeometrySolid GeometryCalculusGeometric Construction
This example demonstrates the geometric relationship and interaction between a cube and circles. It involves core math concepts like circles, cubes, coordinate geometry, solid geometry, definite integrals, and circumcircles. Construction highlights include commands like Segment, Line, Intersect, Circle, Radius, Center, and CurveCartesian from GeoGebra. Suitable for high school students and math enthusiasts studying spatial geometry and calculus.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(A, C) → g
  3. Segment(C, D) → h
  4. Line(A, h) → i
  5. Line(D, g) → j
  6. Intersect(i, j) → E
  7. Segment(A, E) → k
  8. Segment(E, D) → l
  9. Line(D, f) → m
  10. Line(E, f) → n_1
  11. Line(B, k) → p
  12. Intersect(n_1, p) → F
  13. Line(F, l) → q
  14. Intersect(m, q) → G
  15. Segment(D, G) → r
  16. Segment(E, F) → s
  17. Segment(B, F) → t
  18. Segment(F, G) → a
  19. Circle(B, F, G) → c
  20. Circle(C, A, B) → d
  21. Circle(C, D, G) → e
  22. Radius(c) → r1
  23. Center(c) → C1
  24. Radius(d) → r2
  25. Center(d) → C2
  26. Radius(e) → r3
  27. Center(e) → C3
  28. CurveCartesian(x(C1) + (r1 * cos(w)), y(C1) + (r1 * sin(w)), w, 0, t1) → b
  29. CurveCartesian(x(C3) + (r3 * cos(w)), y(C3) + (r3 * sin(w)), w, 0, t3) → u
  30. CurveCartesian(x(C2) + (r2 * cos(w)), y(C2) + (r2 * sin(w)), w, 0, t2) → o
  31. Intersect(c, d) → H, I, ,