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Golden Rectangle

Golden Rectangle
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2019-02-26 15:26
TrigonometryCoordinate GeometryGeometric Construction
This example demonstrates how to construct a golden rectangle using a unit circle and a square. The core mathematical concepts involved include ratios, the golden ratio, and geometric construction. The construction uses GeoGebra commands such as Point, Line, Segment, and Rotate, particularly by rotating points on the unit circle. It is suitable for high school mathematics instruction to understand the application of the golden ratio in geometry.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Line(A, xAxis) → a
  3. Point(yAxis) → P
  4. Point(a) → B
  5. Segment(A, B) → c
  6. Segment(P, Q) → b
  7. Point(b) → T
  8. Segment(P, T) → d
  9. Segment(T, Q) → e
  10. Rotate(T, 270*°, P) → S
  11. Segment(Q, R) → h
  12. Segment(S, P) → j
  13. Segment(S, R) → i