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Three Perpendicular Lines on a Cone

Three Perpendicular Lines on a Cone
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2016-07-06 04:16
PolygonSolid Geometry
This example demonstrates three mutually perpendicular lines on a cone. It involves solid geometry concepts such as cones and polygons. Using GeoGebra commands like RotateText, Circle, and Cone, the various faces and edges of the cone can be constructed. Suitable for high school mathematics education and students learning solid geometry.

GeoGebra Commands & Parameters

  1. RotateText("uStas\;\&\,T.C.", 90°) → надпись01
  2. Circle(Q, (((2 * m) * k2) * k3), zAxis) → ω
  3. Cone(ω, ((2 * m) * k3)) → φ, c, b
  4. Mirror(A, Dilate[Q, 1.5, S]) → A'
  5. Prism(S, C, A', B, A) → a, B', реброSC, реброA'C, реброA'B, реброSB, реброSA, реброCB', реброA'S', реброBC', реброAB', реброB'S', S', реброS'C', реброAC', C', граньA'BSC, граньADBS, граньA'BDE, граньA'CFE, граньAFCS, граньADEF
  6. Polygon(A, C, B) → многоугольник1, c_1, a_1, b_1
  7. Pyramid(A, B, C, S) → d, граньABC, реброCS, граньACS, граньBCS, граньABS, реброAB, реброBC, реброCA, реброAS, реброBS
  8. Segment(S, S') → e
  9. Segment(S, Q) → f
  10. Midpoint(B, C) → D
  11. Segment(A, D) → g