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Parametric Conic Sections

Parametric Conic Sections
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2017-11-29 07:29
FunctionCoordinate GeometryParametric Equation
This example demonstrates conic sections using parametric equations. It covers fundamental concepts of conic sections such as ellipses, hyperbolas, and parabolas. By using GeoGebra commands like CurveCartesian, users can dynamically adjust parameters like t, θ, α, etc., to observe changes in conic sections. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. CurveCartesian((r * cos(t)), (r * sin(t)), t, 0, α) → f_C
  2. CurveCartesian((a * cos(t)), (b * sin(t)), t, 0, α) → f_E
  3. CurveCartesian((a * sec(t)), (b * tan(t)), t, 0, α) → f_H
  4. CurveCartesian(s^(2) / ((4 * p)), s, s, -5, t) → f_P
  5. CurveCartesian(s, s^(2) / ((4 * p)), s, -5, t) → d
  6. CurveCartesian((a * tan(t)), (b * sec(t)), t, 0, α) → e