Nine-point circle
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).
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1822 in science9-Point circle9-point circle9 Point Circle9 point circleA Treatise on the Circle and the SphereAltitude (triangle)Brocard circleCircleCircumconic and inconicCircumscribed circleCollinearityConcyclic pointsDe Longchamps pointEncyclopedia of Triangle CentersEquilateral triangleEuclidean geometryEuler's circleEuler circleEuler lineFermat pointFeuerbach's TheoremFeuerbach's ThoeremFeuerbach's circleFeuerbach CircleFeuerbach circleFeuerbach pointFourth Way enneagramHeptagonal triangleIncenterIncircle and excircles of a triangleJohnson circlesJulio Garavito ArmeroKarl Wilhelm FeuerbachList of circle topicsList of geometry topicsList of interactive geometry softwareList of triangle topicsList of two-dimensional geometric shapesMabel Minerva Young
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Nine-point circle
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).
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Der Feuerbachkreis oder Neun-P ...... nittpunkt S des Dreiecks ABC).
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En geometría, se conoce como c ...... n el ortocentro del triángulo.
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En géométrie, le cercle d'Eule ...... tre H à un sommet du triangle.
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Existeix una circumferència as ...... erbach, o cercle de nou punts.
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Geometrian, bederatzi puntueta ...... rkunferentzia erdiinskribatua.
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In geometry, the nine-point ci ...... -point center of the triangle.
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Kružnice devíti bodů se nazývá ...... inou poloměru kružnice opsané.
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Na geometria, o círculo de nov ...... ro é o centro de do triângulo.
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Nella geometria piana, conside ...... matico tedesco Karl Feuerbach.
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Okrąg dziewięciu punktów znany ...... z jego ortocentrum (zielone).
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title
Nine-Point Circle
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Nine-PointCircle
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Orthopole
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Der Feuerbachkreis oder Neun-P ...... nittpunkt S des Dreiecks ABC).
@de
En geometría, se conoce como c ...... n el ortocentro del triángulo.
@es
En géométrie, le cercle d'Eule ...... tre H à un sommet du triangle.
@fr
Existeix una circumferència as ...... erbach, o cercle de nou punts.
@ca
Geometrian, bederatzi puntueta ...... o doazen zuzenkien erdiguneak.
@eu
In geometry, the nine-point ci ...... n their respective altitudes).
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Kružnice devíti bodů se nazývá ...... vepsané a kružnic připsaných.
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Na geometria, o círculo de nov ...... em suas respectivas alturas).
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Nella geometria piana, conside ...... matico tedesco Karl Feuerbach.
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Okrąg dziewięciu punktów znany ...... z jego ortocentrum (zielone).
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Bederatzi puntuetako zirkunferentzia
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Cerchio di Feuerbach
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Cercle d'Euler
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Circumferència dels nou punts
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Circunferencia de los nueve puntos
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Círculo de nove pontos
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Feuerbachkreis
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Kružnice devíti bodů
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Negenpuntscirkel
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Nine-point circle
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