Wolfram Demonstrations Project

12,000+ Open Interactive Demonstrations
Powered by Notebook Technology »

Thomsen's Figure

Initializing live version
Download to Desktop

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]

Drag the triangle vertices , and to illustrate the diagram for different triangles. The slider moves between the vertices and .

[less]

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.

Embed Code

Take advantage of the Wolfram Notebook Emebedder for the recommended user experience.

Related Demonstrations More by Author
Browse all topics
Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send