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Polar Coordinates by Norm Prokup (2)

Polar Coordinates by Norm Prokup (2)
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2016-10-31 08:16
AngleFunctionCoordinate Geometry
This example demonstrates points and figures in the polar coordinate system. It involves basic concepts of polar coordinates such as radius and angle. Using GeoGebra commands like Sequence, Point, AngularBisector, etc., complex polar coordinate figures can be constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Sequence(Sequence[(m, n), m, -7, 7, 1], n, -4, 6, 1) → list3
  2. Point(list3) → P
  3. Corner(5) → window
  4. AngularBisector((1, 0), O, P) → h
  5. Intersect(h, Segment[(1, 0), P]) → A
  6. Angle((12, 0), O, P) → θ
  7. Vector(O, P) → f
  8. Corner(text3, 3) → F
  9. Corner(text3, 2) → G
  10. Div(atan2(y(P),x(P)), π / 2) → c
  11. Distance(Corner[text2, 1], Corner[text2, 3]) → e
  12. Corner(text2, 1) → P_1
  13. Corner(text2, 2) → P_2
  14. Corner(text2, 3) → P_3
  15. Corner(text2, 4) → P_4
  16. Sequence(x = n, n, -10, 12, 1) → list1
  17. Sequence(y = n, n, -8, 8, 1) → list2
  18. Line(O, (1, 0)) → g