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t Ratios Demonstration

t Ratios Demonstration
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2019-05-12 22:44
CircleTrigonometryCoordinate GeometryGeometric Construction
This example demonstrates the application of t ratios in the context of a triangle's circumcircle and special points. It involves core mathematical concepts such as Ratios, Circumcircle or Circumscribed Circle, Surface, Poisson Distribution, and Kite. The construction utilizes commands like Segment, OrthogonalLine, Point, Angle, Distance, and PolyLine. Suitable for high school and above mathematics learners and researchers.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. OrthogonalLine(A, f) → g
  3. Point(g) → C
  4. Segment(C, B) → h
  5. Segment(C, A) → i
  6. Angle(C, B, A) → α
  7. Distance(A, C) → AC
  8. Distance(B, C) → BC
  9. Distance(A, B) → AB
  10. PolyLine((-4.68, -0.86), (NaN, NaN), (-4.68, -0.86), true) → stroke1