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Points of Intersection 16

Points of Intersection 16
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2016-03-27 06:43
CircleGeometric Construction
This example demonstrates how to find the intersection points between a circle and conic sections using geometric construction methods. Key mathematical concepts include circles, conic sections, intersection points, and geometric construction. It utilizes commands such as Polygon, Mirror, Intersect, Incircle, Center, and Segment in GeoGebra. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Mirror(A, Centroid[Polygon[A, B, C]]) → A'
  3. Mirror(B, Centroid[Polygon[A, B, C]]) → B'
  4. Mirror(C, Centroid[Polygon[A, B, C]]) → C'
  5. Polygon(A', B', C') → poly1', c', a', b'
  6. Intersect(poly1, poly1') → D, E, F, G, H, I
  7. Incircle(A, D, I) → d
  8. Incircle(C, H, F) → e
  9. Incircle(B, G, E) → f
  10. Center(d) → J
  11. Center(f) → K
  12. Center(e) → L
  13. Segment(K, B') → g
  14. Segment(L, C') → h
  15. Segment(J, A') → i
  16. Intersect(i, h) → M