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Similarity Transformation and Intersection

Similarity Transformation and Intersection
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2015-06-12 23:01
CalculusTransformation
In collections Calculus C06_Differential Equations, Eulers Method
This example demonstrates the concepts of similarity transformation and intersection. Through similarity transformation, we can study the similarity and properties of geometric figures. Core mathematical concepts include similarity transformation and intersection. Construction highlights include using GeoGebra commands to create similar figures and determine intersections. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Numeric A2(0.4)
  2. Numeric B2(0.0)
  3. Numeric C2(1.0)
  4. Numeric A4(0.0)
  5. A4 + 1
  6. A5 + 1
  7. A6 + 1
  8. A7 + 1
  9. A8 + 1
  10. A9 + 1
  11. A10 + 1
  12. A11 + 1
  13. A12 + 1
  14. A13 + 1
  15. A14 + 1
  16. A15 + 1
  17. A16 + 1
  18. A17 + 1
  19. A18 + 1
  20. A19 + 1
  21. A20 + 1
  22. A21 + 1
  23. A22 + 1
  24. A23 + 1
  25. B2
  26. B4 + $A$2
  27. B5 + $A$2
  28. B6 + $A$2
  29. B7 + $A$2
  30. B8 + $A$2
  31. B9 + $A$2
  32. B10 + $A$2
  33. B11 + $A$2
  34. B12 + $A$2
  35. B13 + $A$2
  36. B14 + $A$2
  37. B15 + $A$2
  38. B16 + $A$2
  39. B17 + $A$2
  40. B18 + $A$2
  41. B19 + $A$2
  42. B20 + $A$2
  43. B21 + $A$2
  44. B22 + $A$2
  45. B23 + $A$2
  46. C2
  47. C4 + ((($A$2 * 0.5) * B4) * (3 - C4))
  48. C5 + ((($A$2 * 0.500000000000001) * B5) * (3 - C5))
  49. C6 + ((($A$2 * 0.500000000000001) * B6) * (3 - C6))
  50. C7 + ((($A$2 * 0.500000000000001) * B7) * (3 - C7))
  51. C8 + ((($A$2 * 0.500000000000001) * B8) * (3 - C8))
  52. C9 + ((($A$2 * 0.500000000000001) * B9) * (3 - C9))
  53. C10 + ((($A$2 * 0.500000000000001) * B10) * (3 - C10))
  54. C11 + ((($A$2 * 0.500000000000001) * B11) * (3 - C11))
  55. C12 + ((($A$2 * 0.500000000000001) * B12) * (3 - C12))
  56. C13 + ((($A$2 * 0.500000000000001) * B13) * (3 - C13))
  57. C14 + ((($A$2 * 0.500000000000001) * B14) * (3 - C14))
  58. C15 + ((($A$2 * 0.500000000000001) * B15) * (3 - C15))
  59. C16 + ((($A$2 * 0.500000000000001) * B16) * (3 - C16))
  60. C17 + ((($A$2 * 0.500000000000001) * B17) * (3 - C17))