Concept information
Preferred term
Euler's circle
Definition
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In geometry, the nine-point circle is a circle that can be constructed for any given triangle. It is so named because it passes through nine significant concyclic points defined from the triangle. These nine points are :
- The midpoint of each side of the triangle
- The foot of each altitude
- The midpoint of the line segment from each vertex of the triangle to the orthocenter (where the three altitudes meet; these line segments lie on their respective altitudes).
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Nine-point_circle)
Broader concept
Entry terms
- Feuerbach's circle
- mid circle
- nine-point circle
- six-points circle
- Terquem's circle
- twelve-points circle
In other languages
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French
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cercle de Feuerbach
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cercle de Terquem
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cercle des neuf points
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cercle médian
URI
http://data.loterre.fr/ark:/67375/PSR-KD2VRVC0-M
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