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Logic Gate Linkage Calculations

Logic Gate Linkage Calculations
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2019-12-25 23:15
FunctionTransformationGeometric Construction
This example demonstrates the calculations of logic gate linkages. Key mathematical concepts include geometric transformations and similarity transformations. Using GeoGebra commands such as Line, Intersect, Segment, etc., the linkage model can be constructed. Suitable for high school students learning geometric transformations and similarity.

GeoGebra Commands & Parameters

  1. Line(A', xAxis) → f
  2. Intersect(f, yAxis) → A
  3. Segment(A, A') → g
  4. Distance(A, A') → distanceBA
  5. Mirror(A, xAxis) → B
  6. Circle(A, sqrt(sqam)) → c
  7. Intersect(c, xAxis, 2) → M
  8. Segment(A, M) → Arm1
  9. Circle(A', sqrt(sqam)) → d
  10. Circle(B, sqrt(sqam)) → e
  11. Intersect(d, e, 1) → M'
  12. Segment(A', M') → h
  13. Segment(B, M') → i
  14. Segment(M, M') → j
  15. LineBisector(j) → k
  16. Intersect(k, xAxis) → O
  17. Intersect(k, j) → F
  18. Segment(F, O) → l
  19. Distance(M, O) → distanceCE
  20. Angle(j, l) → α
  21. Distance(A', A) → AB
  22. Segment(M, O) → Arm2
  23. Segment(B, M) → m
  24. Distance(A, B) → distanceAB
  25. Segment(A, B) → n