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Surface of Revolution Generator

Surface of Revolution Generator
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2014-10-24 20:51
FunctionSolid GeometryCalculusGraphing
This example demonstrates how to generate a surface of revolution by rotating a curve. It involves core mathematical concepts such as rotational geometry, function graphs, and surface creation. Construction highlights include using GeoGebra commands/objects like Textfield, Surface, and CurveCartesian. Suitable for high school and above students to learn about rotational surfaces and their applications.

GeoGebra Commands & Parameters

  1. Textfield(f) → poleTekstowe1
  2. Textfield(g) → poleTekstowe2
  3. Surface((f(u) * cos(v)), (f(u) * sin(v)), g(u), u, a, b, v, 0, 6.283185307179586) → c
  4. CurveCartesian(f(u), 0, g(u), u, a, b) → d

AI Drawing Prompt Reference

Create a surface of revolution by rotating a curve around an axis, demonstrating core concepts of rotational geometry and function graphs, with text fields for input functions and a generated surface, first draw the curve then create the rotating surface, suitable for learning about rotational surfaces and their applications.
The prompt above was compiled from the original drawing commands and is for reference only.