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Locus of Circle

Locus of Circle
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2022-06-05 20:45
CircleCoordinate GeometryGeometric Construction
This example demonstrates the locus of a circle. It involves the geometric properties of circles and coordinate geometry. Using GeoGebra commands Circle and Point, the locus of a circle can be constructed. Suitable for middle and high school students to learn about circle properties and loci.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Point(c) → C
  3. Circle(C, D) → d

AI Drawing Prompt Reference

Draw a diagram illustrating the locus of a circle using circles defined by points. Start with two given points to construct the first circle under the corresponding condition. Then select a point on this first circle as an intermediate point. Using that intermediate point together with another given point, construct a second circle. Show both circles clearly and emphasize the relationship that the second circle is determined by a point lying on the first circle, reflecting the geometric-locus idea from a coordinate-geometry viewpoint.
The prompt above was compiled from the original drawing commands and is for reference only.