Animating the Hyperbola
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This example demonstrates the dynamic changes of a hyperbola. It involves the basic properties and parametric equations of hyperbolas. Using GeoGebra commands like Plane and CurveCartesian, it provides an intuitive visualization of the hyperbola's geometric construction. Suitable for high school mathematics education and learning.
GeoGebra Commands & Parameters
Plane(A, B, C) → cPlane(F, E, D) → fCurveCartesian((5 * cos(t)), (5 * sin(t)), 5, t, 0, (2 * π)) → gCurveCartesian(t, d, sqrt(d^(2) + t^(2)), t, 0, 20) → iCurveCartesian(t, d, (-sqrt(d^(2) + t^(2))), t, -20, 0) → jCurveCartesian(t, d, sqrt(d^(2) + t^(2)), t, -20, 0) → kCurveCartesian(t, d, (-sqrt(d^(2) + t^(2))), t, 0, 20) → lPlane(I, G, H) → e