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Angle Between Two Planes by faanyat

Angle Between Two Planes by faanyat
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2016-10-18 08:51
AngleSolid Geometry
This example demonstrates how to construct the dihedral angle between two planes using GeoGebra. Key mathematical concepts include the intersection line of planes and the definition and measurement of dihedral angles. Using commands like Intersect, Point, Polygon, Plane, etc., the formation process of the dihedral angle is visually illustrated. Suitable for high school solid geometry education and learning.

GeoGebra Commands & Parameters

  1. Intersect(yAxis, xAxis) → A
  2. Point(xAxis) → B
  3. Point(yAxis) → G
  4. Polygon(A, B, C, D, E, F, G) → poly1, a, b, c, d, e, f, g
  5. Plane(B, A, H) → h
  6. PointIn(h) → I
  7. PointIn(h) → J
  8. PointIn(h) → K
  9. PointIn(h) → L
  10. PointIn(h) → M
  11. Polygon(A, B, I, J, H, K, L, M) → poly2, a_1, b_1, i, j, h_1, k, l, m
  12. PointIn(poly2) → Y
  13. Segment(X, Y) → n
  14. Angle(Y, X, B) → α
  15. Segment(X, Z) → p
  16. Angle(B, X, Z) → β
  17. Angle(Y, X, Z) → γ
  18. Polygon(Y, X, Z) → poly3, z_1, N, O
  19. Vector(Y, Z) → u