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Right Triangular Prism Construction

Right Triangular Prism Construction
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2016-03-01 12:07
PolygonSolid GeometryGeometric Construction
In collections Geometry: Surface Area & Volume Geometry: Surface Area & Volume Geometry: Surface Area & Volume GA Chapter 11: Surface Area and Volume Surface Area & Volume Surface Area & Volume
This example demonstrates the construction of a right triangular prism. It involves core math concepts like solid geometry, polygon area calculation, and vector operations. Construction highlights include using commands like Circle, Point, Ray, Intersect, Segment, OrthogonalLine, Polygon, Vector, Translate, Angle, and Textfield. Ideal for high school geometry teaching or construction practice.

GeoGebra Commands & Parameters

  1. Circle(A, a, xOyPlane) → d
  2. Point(e) → B
  3. Ray(A, B) → f
  4. Intersect(e, f) → C
  5. Intersect(e, f) → D
  6. Intersect(f, d) → E, F
  7. Segment(A, E) → g
  8. Circle(A, b, xOyPlane) → k
  9. Circle(E, c, xOyPlane) → p
  10. Intersect
  11. Intersect(k, p) → G, H, ,
  12. OrthogonalLine(G, g, xOyPlane) → i
  13. Intersect(i, g) → I
  14. Segment(A, G) → j
  15. Segment(G, E) → l
  16. Segment(G, I) → m
  17. Polygon(A, G, E) → poly1, e_1, a_1, g_1
  18. Vector(A, (0, 0, (-h))) → u
  19. Translate(poly1, u) → poly1'
  20. Translate(G, u) → G'
  21. Translate(E, u) → E'
  22. Segment(G', E') → l'
  23. Translate(A, u) → A'
  24. Translate(G, u) → G'_1
  25. Segment(A', G'_1) → j'
  26. Translate(A, u) → A'_1
  27. Translate(E, u) → E'_1
  28. Segment(A'_1, E'_1) → g'
  29. Translate(G, u) → G'_2
  30. Translate(I, u) → I'
  31. Segment(G'_2, I') → m'
  32. Angle(E, I, G, xOyPlane) → α
  33. Polygon(E, E', G', G) → poly2, e_2, e', g'_1, g_2
  34. Polygon(A, A', G', G) → poly3, a_2, a', g'_2, g_3
  35. Polygon(A, A', E', E) → poly4, a_3, a'_1, e'_1, e_3
  36. Segment(G, G') → n
  37. Segment(E, E') → q
  38. Segment(A', A) → r
  39. Angle(E', I', G'_1) → β
  40. Textfield(a) → InputBox1
  41. Textfield(b) → InputBox2
  42. Textfield(c) → InputBox3
  43. Textfield(h) → InputBox4