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Re-Directing Descartes' Definition of Multiplication

Re-Directing Descartes' Definition of Multiplication
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2017-07-08 18:58
VectorFunctionCoordinate GeometryGeometric Construction
This GeoGebra example visualizes the geometric construction of multiplication according to Descartes' definition. Key mathematical concepts include vectors, lines, intersections, and unit segments. The construction relies on commands like Intersect, Line, Point, Ray, Segment, Vector, and Circle to define geometric relationships dynamically. Ideal for high school students and educators exploring the link between algebraic operations and geometric representations.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → B
  2. Line(U, B) → s
  3. Point(xAxis) → A
  4. Point(xAxis) → D
  5. Ray(B, K) → l
  6. Point(s) → L
  7. Segment(B, A) → Unit
  8. Segment(B, D) → a
  9. Segment(B, C) → b
  10. Line(B, C) → c
  11. Segment(A, C) → e
  12. Line(A, e) → f
  13. Line(D, f) → g
  14. Intersect(g, c) → E
  15. Segment(B, E) → ab
  16. Segment(A, C) → i
  17. Segment(D, E) → j
  18. Segment(B, A) → h
  19. Line(B, D) → d
  20. Vector(B, D) → u
  21. Point(c) → F
  22. Point(c) → G
  23. Point(c) → H
  24. Point(d) → I
  25. Ray(B, D) → k
  26. Circle(A, L, D) → r
  27. Point(s) → T
  28. Line(T, A) → t
  29. Point(s) → J
  30. Vector(T, J) → u_1
  31. Point(t) → P
  32. Segment(P, J) → AC
  33. Line(D, AC) → n
  34. Intersect(s, n) → V
  35. Vector(T, V) → w
  36. Segment(V, D) → DE