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Light Cone

Light Cone
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2016-12-15 14:58
TrigonometryCoordinate GeometrySolid GeometryGeometric Construction
This example demonstrates the formation and properties of a light cone in three-dimensional space. It involves core mathematical concepts such as cones, coordinate geometry, trigonometric functions, and special points. The construction uses GeoGebra commands/objects like Line, OrthogonalLine, Intersect, Segment, Point, and Ellipse. Suitable for high school and above students learning about the concept of light cones in relativity and physics.

GeoGebra Commands & Parameters

  1. Line(A, f) → g
  2. OrthogonalLine(A, g) → h
  3. Line(A, yAxis) → i
  4. Line(A, xAxis) → j
  5. Intersect(j, yAxis) → B
  6. Intersect(i, xAxis) → C
  7. Segment(B, A) → k
  8. Segment(C, A) → l
  9. Intersect(h, m) → D
  10. Intersect(g, m) → E
  11. Intersect(g, n) → F
  12. Intersect(h, n) → G
  13. Intersect(i, m) → H
  14. Intersect(i, n) → I
  15. Point(i) → J
  16. Ellipse(E, D, J) → c
  17. Segment(D, G) → p
  18. Segment(E, F) → q
  19. Point(i) → K
  20. Ellipse(G, F, K) → d