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Circle/Line Intersection with Rusty Compass - Exercise 2.20

Circle/Line Intersection with Rusty Compass - Exercise 2.20
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2016-03-17 18:36
TriangleCircleGeometric Construction
In collections Foundations of Geometry - Constructions
This example demonstrates how to find the intersection of a circle and a line using a rusty compass. Key mathematical concepts include circles, lines, and geometric construction. The commands used include Line, Segment, Circle, Intersect, OrthogonalLine, and Ray. Suitable for students from middle school and above.

GeoGebra Commands & Parameters

  1. Line(A_1, B_1) → a
  2. Segment(C_1, D_1) → r
  3. Segment(A, B) → c
  4. Circle(A, Segment[D_1, C_1]) → f
  5. Intersect(f, c, 1) → C
  6. OrthogonalLine(A, a) → g
  7. Intersect(f, g) → D, O
  8. Intersect(g, a) → E
  9. Segment(B, E) → b
  10. Line(C, b) → d
  11. Intersect(g, d) → F
  12. Line(F, a) → e
  13. Intersect(f, e, 2) → G
  14. Ray(A, G) → h
  15. Intersect(a, h) → H
  16. Circle(A, B) → k