Encyclopedia of Triangle Centers

Encyclopedia of Triangle Centers

The Encyclopedia of Triangle Centers (ETC) is an on-line list of more than 3,000 points or "centers" associated with the geometry of a triangle. It is maintained by Clark Kimberling, Professor of Mathematics at the University of Evansville.

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

The first 10 points listed in the Encyclopedia are:

:

Other points with entries in the Encyclopedia include:

:

ee also

*List of triangle topics

External links

* [http://faculty.evansville.edu/ck6/encyclopedia/ETC.html Encyclopedia of Triangle Centers]
*MathWorld|urlname=KimberlingCenter |title=Kimberling Center
* [http://ada.math.uga.edu/research/software/perlETC/index.html Implementation of ETC points as Perl subroutines] by Jason Cantarella


Wikimedia Foundation. 2010.

Игры ⚽ Поможем сделать НИР

Look at other dictionaries:

  • Encyclopedia of Triangle Centers — Die Encyclopedia of Triangle Centers (ETC) ist eine Online Liste mit fast 3600 (Oktober 2010) Dreieckspunkten. Sie wird gepflegt durch Clark Kimberling, Professor für Mathematik an der University of Evansville. Jedem Eintrag in der Liste wird… …   Deutsch Wikipedia

  • Triangle — This article is about the basic geometric shape. For other uses, see Triangle (disambiguation). Isosceles and Acute Triangle redirect here. For the trapezoid, see Isosceles trapezoid. For The Welcome to Paradox episode, see List of Welcome to… …   Wikipedia

  • List of triangle topics — This list of triangle topics includes things related to the geometric shape, either abstractly, as in idealizations studied by geometers, or in triangular arrays such as Pascal s triangle or triangular matrices, or concretely in physical space.… …   Wikipedia

  • Cubic plane curve — A selection of cubic curves. See information page for details. Cubic curve redirects here. For information on polynomial functions of degree 3, see Cubic function. In mathematics, a cubic plane curve is a plane algebraic curve C defined by a… …   Wikipedia

  • Fermat point — In geometry, the first Fermat point, or simply the Fermat point, also called Torricelli point, is the solution to the problem of finding a point F inside a triangle ABC such that the total distance from the three vertices to point F is the… …   Wikipedia

  • Brocard points — are special points within a triangle. They are named after Henri Brocard (1845 ndash; 1922), a French mathematician. DefinitionIn a triangle ABC with sides a , b , and c , where the vertices are labeled A , B and C in counterclockwise order,… …   Wikipedia

  • Malfatti circles — In geometry, the Malfatti circles are three circles inside a given triangle such that each circle is tangent to the other two and to two sides of the triangle. They are named after Gian Francesco Malfatti, who made early studies of the problem of …   Wikipedia

  • Ausgezeichnete Punkte im Dreieck — Umkreismittelpunkt (blau), Schwerpunkt (rot) und Höhenschnittpunkt (grün) liegen auf einer Geraden In der Geometrie versteht man unter den ausgezeichneten Punkten (auch: merkwürdigen Punkten) eines Dreiecks in erster Linie die folgenden vier… …   Deutsch Wikipedia

  • Johnson circles — In geometry, a set of Johnson circles comprise three circles of equal radius r sharing one common point of intersection H . In such a configuration the circles usually have a total of four intersections (points where at least two of them meet):… …   Wikipedia

  • Trilinear coordinates — In geometry, the trilinear coordinates of a point relative to a given triangle describe the relative distances from the three sides of the triangle. Trilinear coordinates are an example of homogeneous coordinates. They are often called simply… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”