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Intersection of a Rotated Cylinder Surface

Intersection of a Rotated Cylinder Surface
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2019-04-23 02:57
CircleSolid GeometryGeometric Construction
This example demonstrates the intersection of a rotated cylinder surface. Key mathematical concepts include cylinder, ellipse, and solid geometry. Using GeoGebra commands such as InfiniteCylinder, Plane, IntersectPath, Circle, etc., the intersection of the cylinder surface can be constructed. Suitable for high school mathematics education and students learning solid geometry.

GeoGebra Commands & Parameters

  1. InfiniteCylinder(A, B, r) → a
  2. Plane(C, D, E) → b
  3. IntersectPath(b, a) → c
  4. Circle(A, r, xOyPlane) → d
  5. IntersectPath(b, xOyPlane) → f
  6. OrthogonalPlane(A, f) → e
  7. Intersect(f, e) → F
  8. Intersect(b, zAxis) → G
  9. Angle(A, F, G) → α
  10. Line(F, A) → h
  11. Angle(xAxis, h, space) → β
  12. Surface((r * cos(t + β)), (r * sin(t + β)), (s * (z(G) + ((r * tan(α)) * sin(t + π / 2)))), t, 0, (2 * π), s, 0, 1) → g