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Outline Your Country

Outline Your Country
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2016-01-25 04:35
PolygonCoordinate GeometryGeometric Construction
In collections On Sphere
This example demonstrates the concept of coordinate geometry and polygons by drawing the outline of a country. It uses commands such as Spline, Intersect, Point, Sphere, and others to construct the boundary of a country with points and segments. Suitable for high school students and math enthusiasts to learn and explore geometric construction.

GeoGebra Commands & Parameters

  1. Spline({R, S, T, V, Z, A_1, B_1, C_1, D_1, E_1, F_1, G_1, H_1, R}, 3) → c
  2. Intersect(zAxis, xAxis) → A
  3. Point(zAxis) → B
  4. Sphere(A, B) → a
  5. Point(c) → C
  6. Point(yAxis) → F
  7. Point(yAxis) → O
  8. Locus(D, C) → loc1
  9. IntersectPath(xOyPlane, a) → e
  10. Rotate(e, π / 2, xAxis) → e'
  11. PointIn(a) → A1
  12. Plane(A1, xOyPlane) → d
  13. IntersectPath(d, a) → f
  14. Plane(A1, (0, 0, 1), (0, 0, -1)) → g
  15. IntersectPath(g, a) → h
  16. Intersect
  17. Intersect(e, h) → E, U, ,
  18. Intersect
  19. Intersect(e, e') → W, I_1, ,
  20. Segment(E, (0, 0, 0)) → i
  21. Segment(W, (0, 0, 0)) → j
  22. Segment(A1, (0, 0, 0)) → k
  23. Angle(j, i) → α
  24. Angle(i, k) → β
  25. Intersect(xAxis, yAxis) → J_1
  26. Point(xAxis) → K_1
  27. Line(J_1, K_1) → l
  28. Point(yAxis) → L_1
  29. Point(l) → M_1
  30. Line(L_1, M_1) → m