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
.
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