MathPlotAI Logo MathPlotAI

Cone Angles

Cone Angles
Loading the math board and drawing, please wait…
2018-01-07 00:42
AngleSolid GeometryGeometric Construction
This example demonstrates the concept of cone angles. Key mathematical concepts include angles and cones. Using GeoGebra commands such as Intersect, Angle, and Rotate, the intersection points and angles of a cone can be constructed. Suitable for high school geometry education.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Segment(C, B) → f
  3. Segment(C, D) → g
  4. Segment(D, B) → h
  5. Angle(B, C, D) → α_1
  6. Rotate(B, (360° * cos(α)), D) → B'
  7. Angle(B, D, B') → β
  8. Segment(D, B') → i
  9. Rotate(B, (360° * cos(α) / 2), D) → B'_1
  10. Angle(B, D, B'_1) → γ
  11. CircumcircleSector(B, B'_1, B') → d
  12. PointIn(d) → Pisted
  13. Segment(A, D) → j