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Watt's Linkage by Zoltán Kovács

Watt's Linkage by Zoltán Kovács
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2018-01-08 20:01
VectorFunctionTrigonometryCoordinate GeometryGeometric Construction
In collections Locus Line Equations demos
This example demonstrates Watt's linkage, a mechanical structure that converts rotational motion to linear motion using linkages and sliders. It involves core mathematical concepts such as line segments, trigonometric functions, rectangles, tangent functions, and 2D vectors. The construction uses GeoGebra commands like Segment, Circle, Point, Intersect, Midpoint, Locus, and LocusEquation. Suitable for high school and above students studying mechanical principles and geometric constructions.

GeoGebra Commands & Parameters

  1. Segment(D, E) → g
  2. Circle(A, B) → e
  3. Point(e) → M
  4. Segment(A, B) → f
  5. Circle(M, g) → c
  6. Circle(C, f) → d
  7. Intersect(c, d, 2) → F
  8. Segment(M, F) → h
  9. Segment(F, C) → i
  10. Midpoint(h) → T
  11. Segment(A, M) → j
  12. Locus(T, M) → p
  13. LocusEquation(T, M) → a

AI Drawing Prompt Reference

Draw a mechanical structure showing how rotational motion is converted to linear motion using linkages and sliders. Include two fixed points, determine a moving point via circles and intersections, connect key points to form linkages, and trace the path of the moving point, displaying its locus equation.
The prompt above was compiled from the original drawing commands and is for reference only.