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Triangle Intersection Demonstration

Triangle Intersection Demonstration
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2015-11-12 22:53
TriangleCoordinate GeometryGeometric Construction
In collections intersection: surface-surface, curve-curve intersection: surface-surface, curve-curve intersection: surface-surface, curve-curve intersection: surface-surface, curve-curve
This example demonstrates the intersection points of two triangles. It involves core mathematical concepts such as triangles, intersection points, and geometric constructions. The construction uses commands like Line, Intersect, Plane, IntersectPath, Polygon, and Segment, along with objects like points and segments. It is suitable for high school mathematics teaching and geometric construction learning.

GeoGebra Commands & Parameters

  1. Line(B, A) → g
  2. Intersect(g, c) → G_1
  3. Intersect(g, a) → G_2
  4. Intersect(g, b) → G_3
  5. Plane(C, A, B) → α
  6. IntersectPath(α, c) → a_1
  7. IntersectPath(α, a) → a_2
  8. IntersectPath(α, b) → a_3
  9. Polygon(C, B, A) → Vieleck1, a_4, c_1, b_1
  10. Line(C, A) → h
  11. Line(C, B) → i
  12. Intersect(h, c) → D
  13. Intersect(g, a) → H
  14. Intersect(i, a) → I
  15. Polygon(E, F, G) → Vieleck2, g_1, e_1, f_1
  16. Plane(E, F, G) → j
  17. IntersectPath(j, α) → k
  18. Intersect(k, a_4) → J
  19. Intersect(k, c_1) → K
  20. Segment(J, K) → l
  21. IntersectPath(j, c) → m
  22. IntersectPath(j, b) → n
  23. IntersectPath(j, a) → p
  24. Line(G, F) → t
  25. Line(E, F) → d_1
  26. Line(E, G) → h_1