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Generating a Cylinder

Generating a Cylinder
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2016-10-27 12:40
Coordinate GeometryGeometric Construction
This example demonstrates how to generate a cylinder using GeoGebra. It involves the geometric construction and coordinate geometry of a cylinder. By using commands such as Point, Vector, Line, Polygon, and Surface, various components of the cylinder can be constructed. Suitable for middle school and above students or teachers.

GeoGebra Commands & Parameters

  1. Point(zAxis) → B
  2. Vector(O, O_1) → u
  3. Line(B, O) → f
  4. Polygon(O, E, F, O_1) → poly1, k, l, m, n
  5. Surface(cos(k°), (-sin(k°)), z, k, 0, t, z, z(O), z(B)) → c
  6. CurveCartesian(cos(k°), (-sin(k°)), z(B), k, 0, t) → d
  7. CurveCartesian(cos(k°), (-sin(k°)), z(O), k, 0, t) → g
  8. Surface((r * cos(k°)), ((-r) * sin(k°)), 0, k, 0, t, r, 0, 1) → h
  9. Surface((r * cos(k°)), ((-r) * sin(k°)), z(B), k, 0, t, r, 0, 1) → i
  10. Ray(O, (0, 0, 1)) → j

AI Drawing Prompt Reference

Draw a cylinder, showing its geometric construction and coordinate geometry. Start by creating a line and a polygon as the base, then generate two surfaces for the side and top of the cylinder, followed by two curves outlining its shape, and finally add a ray to indicate the height direction.
The prompt above was compiled from the original drawing commands and is for reference only.