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Apollonius Parabola 2

Apollonius Parabola 2
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2019-03-04 21:23
FunctionCoordinate GeometryGeometric Construction
This example demonstrates the construction of Apollonius parabola. It involves parabola, line segment, and circle. Using GeoGebra commands such as Intersect, Ray, Point, Circle, etc., the Apollonius parabola can be constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Intersect(yAxis, xAxis) → B
  2. Ray(B, A) → f
  3. Point(f) → C
  4. Circle(zAxis, C) → c
  5. Ray(B, D) → g
  6. Point(g) → E
  7. Segment(B, C) → h
  8. Cone(B, E, h) → a, d, b
  9. Segment(F, E) → i
  10. Point(i) → G
  11. OrthogonalLine(G, d) → j
  12. Circle(j, F) → e
  13. Intersect(xAxis, e) → I, J
  14. Segment(G, I) → k
  15. Segment(J, G) → l
  16. Point(l) → K
  17. Circle(g, K) → p
  18. Segment(K, L) → m
  19. Intersect(m, k) → M
  20. Plane(J, C, E) → n
  21. OrthogonalLine(M, n) → q
  22. Intersect(q, p) → N, O
  23. Segment(N, O) → r
  24. Plane(G, N, O) → o
  25. IntersectPath(o, a) → s
  26. Corner(s) → P, Q