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Polar Coordinates Introduction by Tim Brzezinski

Polar Coordinates Introduction by Tim Brzezinski
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2016-08-17 06:08
AngleVectorCoordinate Geometry
In collections Plotting Points Polar Coordinates (Calculus 2) Polar Coordinates (Non-Calculus) Polar Coordinates
This example demonstrates basic shapes in the polar coordinate system. It involves fundamental concepts of polar coordinates, such as point position representation and angle measurement. Using GeoGebra commands like Ray, Circle, Textfield, etc., it constructs shapes in the polar coordinate system. Suitable for middle school and above students to learn basic concepts and construction techniques of polar coordinates.

GeoGebra Commands & Parameters

  1. Ray(B, C) → f
  2. Circle(B, D) → c
  3. Textfield(r) → InputBox1
  4. Textfield(b) → InputBox2
  5. Rotate(D, b, B) → D'
  6. Rotate(D, If[0 < d ≤ 1, (d * b), b], B) → D'_1
  7. CircleArc(B, D'_1, D) → e
  8. Circle(B, D) → g
  9. Ray(B, D') → h
  10. CircleArc(B, D, D'_1) → k
  11. Angle(D, B, D') → α
  12. Angle(D', B, D) → β
  13. Circle(B, abs(r)) → p
  14. Intersect(p, h) → A,
  15. Dilate(B, If[1 < d ≤ 2, 2 - d, 0], A) → B'
  16. Vector(B, B') → u
  17. Line(B, A) → i
  18. Mirror(B, B) → B'_1
  19. Mirror(D', B) → D''
  20. Ray(B'_1, D'') → h'
  21. Mirror(u, B) → u'
  22. Intersect(p, i) → E, F