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Spherical Coordinates Demo by Esteban Diaz UTA

Spherical Coordinates Demo by Esteban Diaz UTA
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2018-11-07 06:34
TrigonometryCoordinate GeometrySolid GeometryComplex Number
This example demonstrates the geometric relationships between spheres, surfaces, and line segments in spherical coordinates. It involves core mathematical concepts such as spherical coordinates, linear functions, logic, plane geometry, and complex numbers. The construction uses GeoGebra commands like Sphere, Surface, Segment, and Angle. Suitable for high school students and math enthusiasts exploring solid geometry and analytical geometry.

GeoGebra Commands & Parameters

  1. Sphere((0, 0, 1), 1) → a
  2. Surface((cos(t) * sin(w)), (sin(t) * sin(w)), cos(w), t, 0, (2 * π), w, 0, π / 2) → b
  3. Segment((0, 0, 0), A) → f
  4. Segment((0, 0, 0), (0, 0, 3)) → g
  5. Angle(f, g) → α
  6. Segment((0, 0, 0), (1, 0, 0)) → h
  7. Segment((0, 0, 0), (x(A), y(A), 0)) → i
  8. Angle(h, i) → β