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Circle and Intersection Demo

Circle and Intersection Demo
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2018-12-10 23:33
CircleCoordinate GeometryGeometric Construction
This example demonstrates the calculation and visualization of intersections between circles and lines/curves. It involves core math concepts like circles, intersections, angles, sequences, and geometric transformations. Key GeoGebra commands used include Circle, Intersect, Angle, and Sequence. Suitable for high school mathematics teaching, illustrating applications of analytical geometry and geometric transformations.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Circle(C, D) → d
  3. Circle(C, B) → e
  4. Intersect(c, e, 2) → F
  5. Intersect(c, d) → G, H, ,
  6. Angle(G, E, F) → α
  7. Sequence(Segment[Intersect[If[i ≤ m_1, c, e], Ray[E, Rotate[G, ((i * 360) * ° / n), E]]], Intersect[d, Ray[E, Rotate[G, ((i * 360) * ° / n), E]]]], i, 1, n) → L_1