nine-point circle oor Spaans

nine-point circle

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That circle which passes through the feet of the altitudes of a given triangle.

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Circunferencia de los nueve puntos

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Voorbeelde moet herlaai word.
This circle is called the nine-point circle.
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These four possible triangles will all have the same nine-point circle.
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The center of this common nine-point circle lies at the centroid of the four orthocentric points.
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The nine-point circle circumscribes the medial triangle, and so the nine-point center is the circumcenter of the medial triangle.
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Because the nine-point circle is common to all four possible triangles in an orthocentric system it is tangent to 16 circles comprising the incircles and excircles of the four possible triangles.
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The center of the nine-point circle lies at the midpoint between the orthocenter and the circumcenter, and the distance between the centroid and the circumcenter is half that between the centroid and the orthocenter.
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Note also that the one point on the nine-point circle that is the center of this rectangular hyperbola will have four different definitions dependent on which of the four possible triangles is used as the reference triangle.
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The radius of the common nine-point circle is the distance from the nine-point center to the midpoint of any of the six connectors that join any pair of orthocentric points through which the common nine-point circle passes.
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So if a rectangular hyperbola is drawn through four orthocentric points it will have one fixed center on the common nine-point circle but it will have four perspectors one on each of the orthic axes of the four possible triangles.
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In any triangle the following sets of points are collinear: The orthocenter, the circumcenter, the centroid, the Exeter point, the de Longchamps point, and the center of the nine-point circle are collinear, all falling on a line called the Euler line.
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This is a result of Feuerbach's conic theorem that states that for all circumconics of a reference triangle that also passes through its orthocenter, the locus of the center of such circumconics forms the nine-point circle and that the circumconics can only be rectangular hyperbolas.
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In the twentieth century they were rated something like nine points in rose-growing circles.""
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The radius of the nine-point circle is half the radius of the circumscribed circle.
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Steiner deltoid is a hypocycloid related with the nine point circle of a triangle.
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Hence, the circumcircle of triangle PMN is the nine-point circle of triangle DEF.
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But it is well-known that such midpoints always lie on the nine-point circle.
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Main article: Nine-point circle
Las entidades de contrapartida cualificadas acordarán con los terceros profesionales receptores de la subdistribución anticipada que éstos permitan a los futuros BCN del Eurosistema correspondientes efectuar auditorías e inspecciones en los locales de los terceros profesionales receptores de la subdistribución anticipada, a fin de verificar la presencia en ellos de los billetes y monedas en euros subdistribuidos anticipadamenteParaCrawl Corpus ParaCrawl Corpus
Feuerbach was a geometer who discovered the nine point circle of a triangle.
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Both circles are related with the Feuerbach circle or the nine-point circle, (green circle in the image).
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Create the nine point circle associated with any triangle.
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Nine-point circle - Wikipedia, the free encyclopedia Nine-point circle
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Hence, the circumenter of triangle DMN lies on the nine-point circle of triangle DEF, i. e. on the circumcircle of triangle PMN.
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The exterior circle has the same center as the nine-point circle and its radius is three times the radius of the nine-point circle.
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During the Thousand Days War, Garavito was part of a secret scientific society called El Círculo de los Nueve Puntos (the nine-point circle), where the condition for admission was to solve a problem about Euler's theorem.
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This diameter also contains the triangle's nine-point center and is a subset of the Euler line, which also contains the circumcenter outside the orthocentroidal circle.
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40 sinne gevind in 24 ms. Hulle kom uit baie bronne en word nie nagegaan nie.