Difference between revisions of "Euler point"

Revision as of 11:09, 6 July 2007

In a given triangle $\triangle ABC$ , the Euler points, usually denoted as $E_A,E_B,E_C$ , are the midpoints of the segments joining the orthocenter to the vertices.

Euler points lie on the nine-point circle.

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-The '''Euler [[point]]s''', usually denoted as <math>E_A,E_B,E_C</math>, are the [[midpoint]]s of the [[orthocenter]] of a given [[triangle]] <math>\triangle ABC</math> to the [[vertex | vertices]] <math>A,B,</math> and <math>C</math>.
+In a given [[triangle]] <math>\triangle ABC</math>, the '''Euler [[point]]s''', usually denoted as <math>E_A,E_B,E_C</math>, are the [[midpoint]]s of the [[segment]]s joining the [[orthocenter]] to the [[vertex | vertices]].
-Euler points lie on the [[Nine-point circle]].
+Euler points lie on the [[nine-point circle]].
+{{stub}}
+[[Category:Definition]]