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Lesson 10.4 Intersection Outside

Lesson 10.4 Intersection Outside
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2018-04-11 09:40
CircleCoordinate GeometryGeometric Construction
This example demonstrates the geometric phenomenon of two circles intersecting outside each other. Core math concepts include circles, equations, median lines, definite integrals, and bar charts. It is constructed using GeoGebra commands/objects like Circle, Tangent, Intersect, CircleArc, Point, Line, AngularBisector, and Angle. Suitable for high school mathematics teaching to understand circle intersection properties and data analysis.

GeoGebra Commands & Parameters

  1. Circle(O, R) → c
  2. Tangent(D, c) → a, b
  3. Intersect(c, b, 1) → Y_1
  4. Intersect(c, a, 1) → Z_1
  5. CircleArc(O, Z_1, Y_1) → d
  6. Point(d) → B
  7. CircleArc(O, Z_1, B) → e
  8. Point(e) → C
  9. Line(D, C) → f
  10. Line(D, B) → g
  11. CircleArc(O, C, B) → h
  12. Line(B, D) → i
  13. AngularBisector(B, D, C) → j
  14. Intersect(c, g, 1) → E
  15. Intersect(c, f, 1) → F
  16. CircleArc(O, E, F) → k
  17. Intersect(h, j) → F_1, K
  18. Intersect(k, j) → G, J
  19. Angle(C, O, B) → α
  20. Angle(E, O, F) → β
  21. Angle(C, D, B) → γ
  22. Point(c) → X
  23. Point(c) → Z
  24. Point(c) → Y