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Moving Points

Moving Points
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2018-12-11 00:05
FunctionSequenceCoordinate Geometry
This example demonstrates the dynamic changes of points in geometric figures. It involves real numbers, statistical characteristics, linear regression, and power functions. Using GeoGebra commands such as Circle, Segment, Sequence, Point, and Polygon, complex geometric figures can be constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Circle(A, 0.5) → e
  2. Segment(B, C) → f
  3. Sequence(Segment[Rotate[B, (((-π)) / n * i), (0, 0)], Rotate[C, (((-π)) / n * i), (0, 0)]], i, 1, n) → L_1
  4. Sequence(((0.5 * cos(b)) + (0.5 * cos(((-2 * π / n) * i) - b)), (0.5 * sin(b)) + (0.5 * sin(((-2 * π / n) * i) - b))), i, 1, n) → L_2
  5. Point(e) → E
  6. Polygon(L_2) → poly1
  7. Sequence(Segment[Element[L_2, i], Element[L_2, i + 1]], i, 1, n) → l1
  8. Segment(Element[L_2, 1], Element[L_2, n]) → i