File:Triangle.NinePointCircle.svg · Wikimedia Commons · See Wikimedia Commons
nine-point circle
Sign in to saveAlso known as Feuerbach’s circle, Euler's circle
circle passing through nine significant concyclic points defined from the triangle
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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:
Gallery (7)
Connections
incircle and excircles of a triangle
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orthocenter
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acute or obtuse triangle
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Feuerbach point
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geometry
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Leonhard Euler
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triangle
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circle
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angle
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point
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digital object identifier
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ellipse
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conic section
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line segment
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hyperbola
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Library of Congress Control Number
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perpendicularity
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vertex
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Jean-Victor Poncelet
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circumscribed circle
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