Encyclopedia of Triangle Centers

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 eine sog. Kimberling-Nummer in der Form X(n) zugewiesen. Zu den Informationen zu jedem Punkt gehören seine trilinearen und baryzentrischen Koordinaten sowie seine Lage zu Geraden, die andere identifizierte Punkte verbinden. Die ETC bietet ebenfalls einen Glossar von Begriffen und Definitionen an.

Liste einiger Dreieckspunkte mit Kimberling-Nummer

Ausgezeichnete Punkte im Dreieck
Name Nummer
Inkreismittelpunkt X(1)
Schwerpunkt X(2)
Umkreismittelpunkt X(3)
Höhenschnittpunkt (Orthozentrum) X(4)
Mittelpunkt des Feuerbach-Kreises X(5)
Lemoine-Punkt (Symmedianenpunkt, Grebe-Punkt) X(6)
Gergonne-Punkt X(7)
Nagel-Punkt X(8)
Mittenpunkt X(9)
Spieker-Punkt (Spieker-Zentrum) X(10)
1. Fermat-Punkt X(13)
2. Fermat-Punkt X(14)
1. isodynamischer Punkt X(15)
2. isodynamischer Punkt X(16)
1. Napoleon-Punkt X(17)
2. Napoleon-Punkt X(18)
Longchamps-Punkt X(20)
Schiffler-Punkt X(21)
Kosnita-Punkt X(54)
Isoperimetrischer Punkt X(175)
1. Vecten-Punkt X(485)
2. Vecten-Punkt X(486)

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Encyclopedia of Triangle Centers


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