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Conic Sections by Pep Bujosa

Conic Sections by Pep Bujosa
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2017-02-26 15:47
FunctionCoordinate GeometryGeometric Construction
In collections intersection: surface-surface, curve-curve
This example demonstrates the geometric construction of conic sections. Key mathematical concepts include the definition and properties of conic sections. Using GeoGebra commands such as Intersect, Point, Line, etc., the construction of conic sections is illustrated. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → M
  2. Point(zAxis) → I
  3. Line(I, M) → vertical
  4. Point(xAxis) → C
  5. Point(zAxis) → B
  6. Intersect(zAxis, xAxis) → A
  7. Cone(A, B, Radi) → a, c, b
  8. Intersect(yAxis, b) → F, G
  9. Line(B, G) → Gene
  10. Sphere(A, C) → d
  11. PointIn(d) → D
  12. Line(D, A) → f
  13. Intersect(zAxis, f) → H
  14. OrthogonalLine(H, Gene, space) → Perpen
  15. Point(f) → E
  16. OrthogonalPlane(E, f) → e
  17. IntersectPath(e, a) → g
  18. Point(zAxis) → J
  19. Cone(J, B, Radi) → k, h, i
  20. IntersectPath(e, k) → q
  21. Intersect(Perpen, d) → K, L
  22. Eccentricity(g) → ecg
  23. Eccentricity(q) → ecq
  24. If(ecg ≟ 0 ∨ ecq ≟ 0, "Circumferència", If[ecg ≟ 1 ∨ ecq ≟ 1, "Paràbola", If[(ecg < 1) ∨ (ecq < 1), "El·lipse", If[(ecg > 1) ∨ (ecq > 1), "Hipèrbola", " "]]]) → Tipus