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Evolute of a Tractrix

Evolute of a Tractrix
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2016-05-26 20:17
TrigonometryCoordinate GeometryGeometric Construction
This example demonstrates the evolute of a tractrix, showcasing key mathematical concepts such as the evolute of a curve, tangents, and reflections. The construction involves commands like Ray, Point, Circle, Intersect, Segment, Tangent, Mirror, and OrthogonalLine. It is suitable for high school and above, helping students understand the geometric properties and dynamic behavior of curves.

GeoGebra Commands & Parameters

  1. Ray(C, G) → k
  2. Point(b) → B
  3. Point(k) → P
  4. Circle(P, xint) → c
  5. Intersect(f, h, (20.4, 0)) → A
  6. Segment(P, A) → rope
  7. Point(f) → D
  8. Tangent(D, f) → e
  9. Mirror(D, l) → D'
  10. Tangent(D', g) → m
  11. OrthogonalLine(D, e) → n
  12. OrthogonalLine(D', m) → p