Rotation around the x-axis
Loading the math board and drawing, please wait…
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
Point(xAxis) → APoint(xAxis) → BTextfield(f) → Eingabefeld1CurveCartesian(t, 0, f(t), t, x(A), x(B)) → fktSurface(fkt, α, xAxis) → Fl_xCircle(A, f(x(A)), xAxis) → k_1Circle(B, f(x(B)), xAxis) → k_2