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Ruled Surface Example

Ruled Surface Example
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2016-05-10 20:51
FunctionTransformationGeometric Construction
In collections Ruled surfaces
This example demonstrates the construction of a ruled surface, which is a surface formed by a family of straight lines. Key mathematical concepts include lines, polynomial functions, and transformations. Using GeoGebra commands Sequence, Mirror, and Rotate, a series of lines are constructed to form the ruled surface. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Sequence((-2 + (4 * k / m), -2), k, 0, m) → list1
  2. Mirror(list1, xAxis) → list2
  3. Rotate(list1, π / 2, (-2, -2)) → list3
  4. Mirror(list3, yAxis) → list4
  5. Rotate(list1, a, f) → list1'
  6. Rotate(list3, a, f) → list3'
  7. Rotate(list2, (-a), f) → list2'
  8. Rotate(list4, (-a), f) → list4'
  9. Sequence(Segment[Element[list1', n], Element[list2', n]], n, 1, m + 1) → list5
  10. Sequence(Segment[Element[list3', n], Element[list4', n]], n, 1, m + 1) → list6