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Tangent Circles Theorem 3 Demo

Tangent Circles Theorem 3 Demo
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2019-04-10 08:19
CircleAngleGeometric Construction
This example demonstrates Theorem 3 of tangent circles, involving geometric properties of circles, tangents, and angles. It uses commands like Circle, Tangent, Point, Line, Intersect, Segment, Polygon, Angle in GeoGebra for construction. Ideal for high school geometry education and construction practice.

GeoGebra Commands & Parameters

  1. Circle(A_1, B_1) → c
  2. Tangent(B, c) → f, g
  3. Point(c) → D
  4. Line(B, D) → h
  5. Intersect(c, g, 1) → A
  6. Intersect(c, h, 2) → C
  7. Segment(B, A) → i
  8. Segment(B, C) → j
  9. Segment(C, D) → k
  10. Segment(B, D) → l
  11. Polygon(B, A, C) → t2, c_1, b_2, a_2
  12. Segment(B, C) → m
  13. Segment(B, A) → n
  14. Segment(C, A) → p
  15. Segment(A, D) → q
  16. Angle(A, D, C) → β
  17. Angle(A, C, B) → γ
  18. Angle(C, B, A) → δ

AI Drawing Prompt Reference

Draw three tangent circles, where two large circles are tangent to each other and a smaller circle is tangent to the large ones. Mark the points of tangency on the large circles and connect these points to form a triangle. Measure and label the angles of the triangle. Draw auxiliary line segments connecting key points to illustrate geometric properties and angle relationships.
The prompt above was compiled from the original drawing commands and is for reference only.