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Hathaway's Pursuit Curve

Hathaway's Pursuit Curve
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2024-10-14 20:18
TriangleVectorFunctionCalculusLimitGeometric Construction
In collections The Domain of the Time (intuitive kinematics)
Hathaway's pursuit curve is a mathematical curve that demonstrates the motion and pursuit of geometric shapes. This example involves core mathematical concepts in geometry, kinematics, and dynamics. The construction uses GeoGebra's Circle, Point, Textfield, and PolyLine commands. This example is suitable for middle school or high school mathematics classrooms, to demonstrate the motion and pursuit of geometric shapes, and to help students understand mathematical concepts and applications.

GeoGebra Commands & Parameters

  1. Circle(Q, r) → c
  2. Point(c) → P
  3. Textfield(wabs) → velocidad
  4. UnitOrthogonalVector(M - Q) → vM
  5. PolyLine(reg) → pol

AI Drawing Prompt Reference

Draw a pursuit-curve motion diagram based on circular geometry: place a given center point Q and construct a circle c with radius r. Use a point P defined from the circle as the starting position on the curve (a point on the circle). Add a text label indicating the idea of speed, “velocidad”. At Q, define an orthogonal direction vector vM to the vector M−Q to represent the motion direction. Finally, connect several key positions in sequence with a polyline to depict the path of Hathaway’s pursuit curve.
The prompt above was compiled from the original drawing commands and is for reference only.