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Spherical Segment Construction

Spherical Segment Construction
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2017-11-22 18:59
CircleSolid GeometryGeometric Construction
In collections Spherical figures
This example demonstrates the geometric construction of a spherical segment and its related elements. It involves core mathematical concepts such as solid geometry, spherical surfaces, circular cross-sections, and intersection lines. Key GeoGebra commands used include Sphere, PointIn, Plane, IntersectPath, Point, and CircleArc. Suitable for high school geometry teaching and construction practice.

GeoGebra Commands & Parameters

  1. Sphere(O, P) → a
  2. PointIn(a) → A
  3. PointIn(a) → B
  4. Plane(O, A, B) → b
  5. IntersectPath(b, a) → c
  6. Point(c) → C
  7. Point(c) → D
  8. CircleArc(O, C, D) → d

AI Drawing Prompt Reference

Draw a sphere, select two points on the sphere, determine a plane through these two points and the sphere's center, find the intersection line of this plane with the sphere, select two points on the intersection line, and draw an arc through these three points.
The prompt above was compiled from the original drawing commands and is for reference only.