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Sphere by Patrick Clément

Sphere by Patrick Clément
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2015-04-21 00:30
Coordinate GeometrySolid GeometryGeometric Construction
This example demonstrates the construction of a sphere. It involves concepts such as spheres, straight lines, and plane figures. Using GeoGebra commands like Surface, CurveCartesian, and Sequence, the process of generating a sphere is dynamically shown. Suitable for high school and above students or teachers for teaching geometry and solid geometry.

GeoGebra Commands & Parameters

  1. Surface((b * cos(u)), sqrt(a^(2) - b^(2) - v^(2) - (((2 * b) * v) * sin(u))), v + (b * sin(u)), u, 3.141592653589793, U, v, 0, V) → e
  2. Surface((b * cos(u)), (-sqrt(a^(2) - b^(2) - v^(2) - (((2 * b) * v) * sin(u)))), v + (b * sin(u)), u, 3.141592653589793, U, v, 0, V) → f
  3. CurveCartesian((b * cos(t)), sqrt(a^(2) - b^(2) - c^(2) - (((2 * b) * c) * sin(t))), c + (b * sin(t)), t, -3.141592653589793, 3.141592653589793) → d
  4. CurveCartesian((b * cos(t)), (-sqrt(a^(2) - b^(2) - c^(2) - (((2 * b) * c) * sin(t)))), c + (b * sin(t)), t, -3.14159, 3.141592653589793) → g
  5. Sequence(CurveCartesian[(b * cos(t)), sqrt(a^(2) - b^(2) - i^(2) - (((2 * b) * i) * sin(t))), i + (b * sin(t)), t, 0, 6.28319], i, (-2 * a), (2 * a), (4 * a / n)) → liste1
  6. Sequence(CurveCartesian[(b * cos(t)), (-sqrt(a^(2) - b^(2) - i^(2) - (((2 * b) * i) * sin(t)))), (-i) - (b * sin(t)), t, 0, 6.28319], i, (-2 * a), (2 * a), (4 * a / n)) → liste2
  7. Surface(sqrt(a^(2) - b^(2) - v^(2) - (((2 * b) * v) * sin(u))), (b * cos(u)), v + (b * sin(u)), u, -3.14159, U - π, v, (-V), 0) → h
  8. Surface((-sqrt(a^(2) - b^(2) - v^(2) - (((2 * b) * v) * sin(u)))), (b * cos(u)), v + (b * sin(u)), u, -3.14159, U - π, v, (-V), 0) → i