Encyclopedia_of_Triangle_Centres

Encyclopedia of Triangle Centers

Encyclopedia of Triangle Centers

List of points considered center of a triangle


The Encyclopedia of Triangle Centers (ETC) is an online list of thousands of points or "centers" associated with the geometry of a triangle. It is maintained by Clark Kimberling, Professor of Mathematics at the University of Evansville.

As of 6 February 2024, the list identifies over 61,000 triangle centers.[1]

Each point in the list is identified by an index number of the form X(n)—for example, X(1) is the incenter. The information recorded about each point includes its trilinear and barycentric coordinates and its relation to lines joining other identified points. Links to The Geometer's Sketchpad diagrams are provided for key points. The Encyclopedia also includes a glossary of terms and definitions.

Each point in the list is assigned a unique name. In cases where no particular name arises from geometrical or historical considerations, the name of a star is used instead. For example, the 770th point in the list is named point Acamar.

Notable points

The first 10 points listed in the Encyclopedia are:

More information ETC reference, Name ...

Other points with entries in the Encyclopedia include:

More information ETC reference, Name ...

Similar, albeit shorter, lists exist for quadri-figures (quadrilaterals and systems of four lines) and polygon geometry.

See also


References

  1. Kimberling, Clark. "Part 31: Centers X(52001) - X(54000)". Encyclopedia of Triangle Centers. Retrieved February 6, 2024.

Share this article:

This article uses material from the Wikipedia article Encyclopedia_of_Triangle_Centres, and is written by contributors. Text is available under a CC BY-SA 4.0 International License; additional terms may apply. Images, videos and audio are available under their respective licenses.