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Polar Coordinates by Brian Sterr

Polar Coordinates by Brian Sterr
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2016-03-30 19:59
SequenceCoordinate GeometryGeometric Construction
This example demonstrates geometric shapes in the polar coordinate system, where points are represented by distance and angle. Using commands like Rotate, Ray, Angle, OrthogonalLine, Intersect, Segment, Point, and Sequence, various geometric shapes can be constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Rotate((1, 0), θ) → A
  2. Ray((0, 0), A) → a
  3. Angle(xAxis, a) → α
  4. OrthogonalLine(P, xAxis) → d
  5. Intersect(d, xAxis) → B
  6. Segment(B, P) → e
  7. Segment(B, C) → f
  8. Angle(C, B, P) → β
  9. Point(f) → D
  10. Segment(P, D) → k
  11. Sequence((y * cos((pi * t / 12))) = (x * sin((pi * t / 12))), t, 0, 11) → list2
  12. Sequence(Text[k, (k, 0)], k, 1, 20) → list3
  13. Ray((0, 0), (1, 0)) → m
  14. Sequence(Text[(15 * k) + "°", ((5.5 * cos((pi * k / 12))), (5.5 * sin((pi * k / 12))))], k, 0, 23) → list4
  15. Sequence(Circle[(0, 0), k], k, 1, 20) → list1
  16. Ray((0, 0), (1; θ)) → b
  17. Ray((0, 0), (-1; θ)) → n