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Bicylinder

Bicylinder
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2014-11-01 21:06
Coordinate GeometrySolid GeometryCalculusComplex NumberGeometric Construction
This example demonstrates the intersection, volume calculation, and rotational properties of a bicylinder. It involves core mathematical concepts like intersection, volume, circle, rotation, solid geometry, complex numbers, and set theory. Construction highlights include commands like Cylinder, Point, Line, Intersect, Polygon, and IntersectPath. Suitable for high school and above students to understand spatial geometry and integral calculations.

GeoGebra Commands & Parameters

  1. Cylinder((-5, 0, 0), (5, 0, 0), 2) → a, c, d, b
  2. Cylinder((0, -5, 0), (0, 5, 0), 2) → e, f, g, h
  3. Point(d) → A
  4. Line(A, xAxis) → i
  5. Intersect(i, c) → B,
  6. Intersect(i, h) → C, D
  7. Line(D, yAxis) → j
  8. Line(C, j) → k
  9. Intersect(k, h) → E,
  10. Intersect(k, b) → F, G
  11. Intersect(j, b) → H, I
  12. Polygon(H, I, G, F) → veelhoek1, h_1, i_1, g_1, f_1
  13. IntersectPath(m, e) → p
  14. IntersectPath(m, a) → q
  15. IntersectPath(l, e) → r
  16. IntersectPath(m, e) → s