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Spherical Coordinates by Paul Belliveau

Spherical Coordinates by Paul Belliveau
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2017-05-15 21:53
Coordinate GeometrySolid GeometryGeometric Construction
This example demonstrates the spherical coordinate system, which describes points in 3D space using radius, polar angle, and azimuthal angle. Using commands like Segment, Circle, and Sphere, this example shows how to create points and circles in a spherical coordinate system. Suitable for high school mathematics education and learning 3D geometry concepts.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Circle(A, C, xOyPlane) → c
  3. Sphere(A, B) → a

AI Drawing Prompt Reference

Draw a spherical coordinate system in 3D space, including a line segment between a point and the center, a circle with the point as the center and perpendicular to the XY plane, and a sphere with the point as the center and the segment as the radius, demonstrating the concept of radius, polar angle, and azimuthal angle in spherical coordinates.
The prompt above was compiled from the original drawing commands and is for reference only.