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Euclidean Root Calculator

Euclidean Root Calculator
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2017-04-18 07:42
Complex NumberGeometric ConstructionGraphing
This example demonstrates the geometric method of calculating roots using the Euclidean algorithm. It involves core math concepts like Complex Numbers, Logarithmic Functions, Probability, Intersection, and Sine. Constructed with GeoGebra commands such as Line, Point, Segment, Distance, Ray, Circle, and Intersect. Suitable for high school and above students to understand the application of complex numbers and geometric relationships.

GeoGebra Commands & Parameters

  1. Line(A, Z) → a
  2. Line(C, ZZ) → b
  3. Point(a) → B
  4. Segment(A, B) → ab
  5. Point(b) → D
  6. Segment(C, D) → cd
  7. Distance(A, B) → distanceAB
  8. Distance(C, D) → distanceCD
  9. Point(Circle[ZZZ, 1]) → ZZZZ
  10. Segment(ZZZ, ZZZZ) → c_1
  11. Distance(ZZZ, ZZZZ) → distanceZZZZZZZ
  12. Ray(E, Y) → c
  13. Ray(E, YY) → d
  14. Circle(E, ab) → e
  15. Intersect(e, c, 1) → F
  16. Circle(E, c_1) → f
  17. Intersect(f, d, 1) → G
  18. Circle(E, cd) → g
  19. Intersect(g, d, 1) → H
  20. Segment(F, G) → h
  21. Line(H, h) → i
  22. Intersect(i, c) → I
  23. Distance(E, I) → distanceEI
  24. Distance(F, E) → distanceFE
  25. Distance(E, G) → distanceEG
  26. Distance(E, H) → distanceEH
  27. Segment(I, H) → j
  28. Segment(I, E) → k