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Floyd Dilating a Line Segment

Floyd Dilating a Line Segment
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2015-01-16 20:55
TrigonometryIntegralGeometric Construction
This example demonstrates the process of dilating a line segment using Floyd's transformation. It involves core mathematical concepts such as line segments, cosine theorem, indefinite integral, geometry, fractal geometry, and trapezoids. The construction uses GeoGebra commands like Segment and Dilate, along with objects A, C, D, b, E, Scale, C', D', b', and text1. It is suitable for high school students and those interested in fractal geometry.

GeoGebra Commands & Parameters

  1. Segment(C, D) → b
  2. Dilate(C, Scale, E) → C'
  3. Dilate(D, Scale, E) → D'
  4. Segment(C', D') → b'

AI Drawing Prompt Reference

Draw a line segment, then scale one endpoint of the line segment to create two new points, and connect these points to form a new line segment, demonstrating the scaling transformation process.
The prompt above was compiled from the original drawing commands and is for reference only.