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Circumcircle of a Triangle by David Kearney

Circumcircle of a Triangle by David Kearney
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2015-06-04 17:26
TriangleCircleGeometric Construction
This example demonstrates the position changes of the circumcircle of a triangle. By adjusting the positions of the triangle's vertices, the position of the circumcenter can be observed. The core mathematical concepts involved are the circumcircle and circumcenter of a triangle. The commands used for construction include Polygon, LineBisector, Intersect, and Circle. Suitable for students at the junior high school level and above for geometric construction.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. LineBisector(c) → d
  3. LineBisector(b) → e
  4. LineBisector(a) → f
  5. Intersect(d, f) → D
  6. Circle(D, A) → g

AI Drawing Prompt Reference

Draw a triangle and its circumcircle. The triangle has three vertices, and the circumcircle passes through these vertices. You can observe the position changes of the circumcircle by adjusting the triangle's vertices. Construct by first drawing the triangle, then finding the circumcircle center, and finally drawing the circumcircle.
The prompt above was compiled from the original drawing commands and is for reference only.