Rotation around the x-axis

Rotation around the x-axis
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2017-05-18 17:55
This example demonstrates the rotation of a curve around the x-axis in three-dimensional space, forming a solid of revolution. Key math concepts include rotation, geometric mean, trigonometry, line segments, incircle, and stochastic processes. It uses GeoGebra commands/objects like Point, Textfield, Cartesian Curve, Surface, and Circle. Suitable for high school and above students studying spatial geometry and function graph transformations.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Point(xAxis) → B
  3. Textfield(f) → Eingabefeld1
  4. CurveCartesian(t, 0, f(t), t, x(A), x(B)) → fkt
  5. Surface(fkt, α, xAxis) → Fl_x
  6. Circle(A, f(x(A)), xAxis) → k_1
  7. Circle(B, f(x(B)), xAxis) → k_2