MathPlotAI Logo MathPlotAI

Pantograph Mechanism

Pantograph Mechanism
Loading the math board and drawing, please wait…
2014-04-17 20:35
TransformationGeometric ConstructionSlider Animation
In collections Transformations
This example demonstrates the working principle of a pantograph mechanism. Core mathematical concepts include geometric construction and transformation. Using GeoGebra commands such as Circle, PointIn, Intersect, Segment, etc., the dynamic construction and observation of the pantograph mechanism's movement can be achieved. Suitable for high school or university geometry and mechanical principles courses.

GeoGebra Commands & Parameters

  1. Circle(A, a) → f
  2. Circle(A, a + b) → e
  3. PointIn(e) → B
  4. Circle(B, b) → g
  5. Intersect(f, g, 1) → C
  6. Segment(A, C) → h
  7. Segment(C, B) → i
  8. Segment(C, D) → j
  9. Segment(D, E) → l
  10. Segment(E, F) → m
  11. Segment(B, E) → n
  12. Segment(G, H) → p
  13. Circle(I, sz) → q
  14. Point(q) → J
  15. Segment(J, I) → r
  16. Point(q) → K
  17. Segment(K, I) → s
  18. Angle(J, I, K) → α
  19. Textfield(a) → inputBox1
  20. Textfield(b) → inputBox2
  21. Textfield(d) → inputBox4
  22. Textfield(t) → inputBox5

AI Drawing Prompt Reference

Draw a pantograph mechanism to demonstrate its working principle, featuring two fixed points and a sliding point connected by circles and line segments to show the联动 relationship of mechanical arms. Start by drawing two concentric circles, with one intersecting at the sliding point, then use the intersection points and radii to form other segments, creating the mechanical arm structure. Add sliders to control parameters, label key angles and lengths, and clearly illustrate the movement process.
The prompt above was compiled from the original drawing commands and is for reference only.