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3D Translated Cylinder

3D Translated Cylinder
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2017-04-18 22:27
VectorSolid Geometry
In collections Surface Area Book
This example demonstrates the 3D visualization of a cylinder undergoing a translation transformation, highlighting its geometric properties and spatial relationships. Key math concepts include solid geometry, vectors, transformations, symmetry, and continuity. The construction utilizes GeoGebra commands like Point, Intersect, Cylinder, Polygon, Vector, and Translate, emphasizing spatial reasoning and geometric manipulation. Suitable for high school and university students studying advanced geometry and vector analysis.

GeoGebra Commands & Parameters

  1. Point(zAxis) → A
  2. Intersect(yAxis, zAxis) → B
  3. Cylinder(A, B, 3) → a, c, d, b
  4. Polygon(C, D, E, F) → poly1, c_1, d_1, e, f
  5. Vector(B, G) → u
  6. Translate(d, u) → d'
  7. Vector(B, H) → v
  8. Translate(d, v) → d'_1