Difference between revisions of "Euler point"

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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]].
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In a given [[triangle]] <math>\triangle ABC</math>, the '''Euler [[point]]s''', usually denoted <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]].

Latest revision as of 11:09, 6 July 2007

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

Euler points lie on the nine-point circle.


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