Thomsen’s Figure

Thomsen’s figure, or Thomsen’s theorem, illustrates the following process: For any triangle ABC, pick a point A1 on BC opposite A. From A1 draw a line segment parallel to AB intersecting AC at point B1; then from there a segment parallel to BC intersecting AB at C1; continuing through the figure. Thomsen’s theorem shows that the final segment from C2 parallel to AC meets at the original point A1.

annoying animation for Thomsen's figure

See:


Designed and rendered using Wolfram Mathematica 13.
First draft December 2021 by Robert Dickau.

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www.robertdickau.com/thomsen.html