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Locus of a Circle Tangent to a Fixed Circle

Locus of a Circle Tangent to a Fixed Circle
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2017-05-26 11:45
CircleCoordinate GeometryGeometric ConstructionLocus
This example demonstrates the locus equation of points tangent to a fixed circle. Key math concepts include locus, circle geometry, and analytical geometry. Construction involves commands like Point, Segment, Intersect, Circle, and OrthogonalLine. Suitable for high school analytical geometry learning to understand the derivation and geometric meaning of locus equations.

GeoGebra Commands & Parameters

  1. Point(d) → P
  2. Segment(M, P) → b
  3. Intersect(c, b, 1) → A
  4. Circle(P, A) → e
  5. OrthogonalLine(P, a) → g
  6. Intersect(e, a, 1) → B
  7. Intersect(g, h) → C
  8. Segment(P, C) → i
  9. Segment(P, A) → j
  10. Segment(P, B) → k