# Thomsen's Figure

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

Thomsen's figure is illustrated by the following process. For any triangle , pick a point on opposite . From , draw a line segment parallel to intersecting at point , then from there a segment parallel to intersecting at . Continue through the figure. Thomsen's theorem states that the final segment from parallel to terminates at the original point .

[more]
Contributed by: Robert Dickau (August 2022)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

References

[1] Wikipedia. "Thomsen's Theorem." (Jan 26, 2022) en.wikipedia.org/wiki/Thomsen%27s_theorem.

[2] "Thomsen's Theorem." *Futility Closet*. (Jan 26, 2022) www.futilitycloset.com/2021/06/24/thomsens-theorem.

[3] E. W. Weisstein. "Thomsen's Figure." (Jan 26, 2022) *Wolfram MathWorld—A Wolfram Web Resource*. mathworld.wolfram.com/ThomsensFigure.html (Wolfram *MathWorld*).

[4] E. W. Weisstein. "Thomsen's Figure." (Jan 26, 2022) archive.lib.msu.edu/crcmath/math/math/t/t137.htm (same as [3], except MW description is wrong).

[5] Wikipedia. "Pappus's Hexagon Theorem." (Jan 26, 2022) en.wikipedia.org/wiki/Pappus%27s_hexagon_theorem#Dual_theorem.

## Permanent Citation