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Parametric Curves and Tangents

Parametric Curves and Tangents
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2017-05-12 22:12
CalculusParametric EquationGeometric Construction
This example demonstrates how to draw curves using parametric equations and explores the concept of tangents. Using GeoGebra commands Circle, Line, OrthogonalLine, and Intersect, the construction of parametric curves and their tangents is illustrated. Suitable for high school mathematics education, particularly in calculus and coordinate geometry courses.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Line(A, B) → f
  3. OrthogonalLine(A, f) → g
  4. Intersect(c, g, 2) → C
  5. Intersect(c, f, 2) → D
  6. Intersect(c, g, 1) → E
  7. OrthogonalLine(B, f) → h
  8. OrthogonalLine(E, h) → i
  9. OrthogonalLine(D, i) → j
  10. OrthogonalLine(C, j) → k