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Oblique Cone by Katie Davidson

Oblique Cone by Katie Davidson
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2017-04-17 07:03
TrigonometrySolid GeometryGeometric Construction
This example demonstrates the 3D shape and surface properties of an oblique cone. It involves core mathematical concepts like cones, cosine functions, cuboids, perimeters, surface areas, and reflections. The construction uses GeoGebra commands such as Circle, Sequence, and Surface, with objects like n, D, E, d, F, liste1, r, U, V, a. It is suitable for high school students and math enthusiasts exploring solid geometry.

GeoGebra Commands & Parameters

  1. Circle(D, E) → d
  2. Sequence(Circle[Point[Segment[F, D], i], (i * Distance[D, E]), zAxis], i, 0, 1, 1 / n) → liste1
  3. Surface((x(F) * u) + ((1 - u) * x(D)) + ((r * (1 - u)) * cos(v)), (y(F) * u) + ((1 - u) * y(D)) + ((r * (1 - u)) * sin(v)), (z(F) * u) + ((1 - u) * z(D)), u, 0, U, v, 0, V) → a