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Quadric Surfaces Demo by Dr. Doug Davis, 3D

Quadric Surfaces Demo by Dr. Doug Davis, 3D
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2016-09-26 21:37
FunctionSolid GeometryParametric EquationGraphing
In collections Fun with Functions
This example demonstrates 3D views of basic quadric surfaces and their equations. It involves core mathematical concepts like cones, ellipsoids, hyperboloids, and paraboloids. Constructed using GeoGebra commands: a, b, c, ellipsoid, esoid, ellipticalParaboloid, eParr, ellipticalCone, eCon, hyperboloidOneSheet, hyp1, hyperboloidTwoSheets, hyp2, hyperbolicParaboloid, hypPar, text1, A, text1_1, text1_2, text1_3, text1_4, text1_5. Suitable for high school and university students learning about quadratic surfaces and their properties.

GeoGebra Commands & Parameters

  1. Numeric a(1)
  2. Numeric b(1)
  3. Numeric c(0.4)
  4. (x / a)^(2) + (y / b)^(2) + (z / c)^(2) = 1
  5. Boolean esoid(false)
  6. (x / a)^(2) + (y / b)^(2) = z / c
  7. false
  8. (x / a)^(2) + (y / b)^(2) = (z / c)^(2)
  9. false
  10. (x / a)^(2) + (y / b)^(2) - (z / c)^(2) = 1
  11. false
  12. (z / c)^(2) - (x / a)^(2) - (y / b)^(2) = 1
  13. false
  14. (y / b)^(2) - (x / a)^(2) = z / c
  15. false
  16. Point A(-0.88, 3.38)