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nine-point circle

File:Triangle.NinePointCircle.svg · Wikimedia Commons · See Wikimedia Commons

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nine-point circle

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Also known as Feuerbach’s circle, Euler's circle

circle passing through nine significant concyclic points defined from the triangle

~12 min read

Encyclopedic overview

The nine points

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:

Excerpted from Wikipedia’s “nine-point circle” article, available under the CC BY-SA 4.0 licence.

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