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Perimeter of Centers of Tangent Circles

Perimeter of Centers of Tangent Circles
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2017-02-02 18:30
CircleCoordinate GeometryCalculusGeometric Construction
This example demonstrates the perimeter of the centers of tangent circles, involving core math concepts like circles, perimeter, circumcircle, hyperbola, rectangle, linear regression, and calculus. It is constructed using GeoGebra commands such as Circle, PointIn, Line, Intersect, Distance, Point, Segment, Polygon, and Perimeter. Suitable for high school students and educators exploring geometric and algebraic intersections.

GeoGebra Commands & Parameters

  1. Circle(K, R) → c
  2. PointIn(c) → M
  3. Line(K, M) → f
  4. Intersect(c, f, 2) → A
  5. Circle(M, A) → d
  6. Distance(M, A) → MA
  7. Distance(M, K) → MK
  8. Point(ellipse_N) → N
  9. Segment(M, N) → seg_{MN}
  10. Intersect(d, seg_{MN}, 1) → B
  11. Circle(N, B) → e
  12. Polygon(K, M, N) → poly1, n, k, m
  13. Perimeter(poly1) → p