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Circumcenter of a Triangle by chris cambré

Circumcenter of a Triangle by chris cambré
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2018-01-11 18:09
TriangleCircleCoordinate GeometryGeometric Construction
In collections barycentric coordinates
This example demonstrates the circumcenter of a triangle, which is the point where the perpendicular bisectors of the triangle's sides intersect, and also the center of the triangle's circumcircle. Using commands like Circle, Center, Invert, Segment, and Element, the circumcenter can be constructed. Suitable for middle school and above students to learn about triangle properties.

GeoGebra Commands & Parameters

  1. Circle(A, B, C) → e
  2. Line(B, C) → m
  3. Line(A, C) → l
  4. Center(e) → P
  5. Invert(MM) → matrix_1
  6. Segment(A, B) → g
  7. Segment(C, A) → f
  8. Element(LL, 1, 1) → λ_1
  9. Segment(B, C) → h
  10. Element(LL, 2, 1) → λ_2
  11. Element(LL, 3, 1) → λ_3
  12. Polygon(A, B, C) → driehoek1, c, a, b
  13. FractionText(λ_1) → tekst1
  14. FractionText(λ_2) → tekst3
  15. FractionText(λ_3) → tekst4
  16. Angle(B, A, C) → α
  17. Angle(C, B, A) → β
  18. Angle(A, C, B) → γ
  19. Line(A, B) → k
  20. Midpoint(c) → G
  21. Midpoint(b) → H
  22. Midpoint(a) → I
  23. Segment(P, P + (1.5 * Vector[P, G])) → n
  24. Segment(P, P + (1.5 * Vector[P, H])) → p
  25. Segment(P, P + (1.5 * Vector[P, I])) → q