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Cylinder Surface by Walerij Koschkin

Cylinder Surface by Walerij Koschkin
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2015-11-30 02:17
VectorSequenceSolid GeometryCalculusGeometric Construction
In collections Surface Area
This example demonstrates the geometric construction and visualization of a cylinder surface. Key math concepts include cylinder, surface area, definite integral, isosceles triangles, kites, sequences and series. It uses GeoGebra commands like Circle, Intersect, Point, CircleArc, Vector, Sequence, and Cylinder. Suitable for high school and above students studying solid geometry and calculus applications.

GeoGebra Commands & Parameters

  1. Circle((0, exp(Set)), ℯ^(Set)) → c
  2. Intersect(c, xAxis, 1) → A
  3. Point(c) → B
  4. CircleArc(B, A, A) → d
  5. CircleArc((0, exp(Set)), A, B) → e
  6. Vector((0, 0, 0), (0, 0, 2.5)) → u
  7. Sequence(Translate[e, Vector[(n * u / 50)]], n, 0, 50) → list1
  8. Cylinder((0, 1, 0), (0, 1, 2.5), 1) → a, f, g, b