In geometry, the Nagel point (named for Christian Heinrich von Nagel) is a triangle center, one of the points associated with a given triangle whose definition...
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Incircle and excircles (redirect from Gergonne point)
{c+a-b}{b}}:{\frac {a+b-c}{c}}.} The Nagel point is the isotomic conjugate of the Gergonne point.[citation needed] In geometry, the nine-point circle is a circle that...
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Thomas Nagel (/ˈneɪɡəl/; born July 4, 1937) is an American philosopher. He is the University Professor of Philosophy and Law Emeritus at New York University...
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Spieker circle (section Nagel points and lines)
the Nagel line relates to the circumcenter for the Euler line. Another analogous point is the Nagel point and the othocenter, with the Nagel point associated...
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Kuehne + Nagel International AG (or Kühne + Nagel) is a global transport and logistics company based in Schindellegi, Switzerland. Its main owner and operator...
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Germany Nagel point, a geometric center of a triangle Nagle (disambiguation) This disambiguation page lists articles associated with the title Nagel. If an...
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triangle. The three splitters of a triangle all intersect each other at the Nagel point of the triangle. A cleaver of a triangle is a segment from the midpoint...
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\end{aligned}}} The three splitters concur at the Nagel point of the triangle. A cleaver of a triangle is a line segment that bisects...
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{\displaystyle IG<HG,\quad IH<HG,\quad IG<IO,\quad 2IN<IO.} The incenter is the Nagel point of the medial triangle (the triangle whose vertices are the midpoints...
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Medial triangle (redirect from Mid-point triangle)
The nine-point circle circumscribes the medial triangle, and so the nine-point center is the circumcenter of the medial triangle. The Nagel point of the...
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of △ABC. The Bevan is point is also the midpoint of the line segment NL connecting the Nagel point N and the de Longchamps point L. The radius of the Bevan...
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Central line (geometry) (section Nagel line)
center X647. The Nagel line of △ABC is the line passing through the centroid, the incenter, the Spieker center and the Nagel point of △ABC. The trilinear...
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triangle. It was identified in 1836 by Christian Heinrich von Nagel as the symmedian point of the excentral triangle of the given triangle. The mittenpunkt...
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de Longchamps point also has other collinearities. Any vertex, the tangency of the opposite side with an excircle, and the Nagel point are collinear in...
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triangle and bisecting the perimeter. The three splitters concur at the Nagel point of the triangle. Any line through a triangle that splits both the triangle's...
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inellipse is tangent to the triangle side. The three splitters concur at the Nagel point of the triangle, which is also called its splitting center. Some authors...
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What Is It Like to Be a Bat? (category Works by Thomas Nagel)
by American philosopher Thomas Nagel, first published in The Philosophical Review in October 1974, and later in Nagel's Mortal Questions (1979). The paper...
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von Nagel (28 February 1803 in Stuttgart, Germany – 27 October 1882 in Ulm, Germany) was a German geometer. After attending the gymnasium, Nagel went...
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point, Nagel point and Schiffler point. The center of the hyperbola is the Feuerbach point, the point of tangency of the incircle and the nine-point circle...
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extouch triangle; they bisect the triangle's perimeter and meet at the Nagel point. This is shown in blue and labelled "N" in the diagram. The Mandart inellipse...
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vertices to the opposite points of tangency all meet in a single point, the Nagel point of the triangle. Steiner inellipse, a different ellipse tangent...
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Gergonne point has coordinates ( s − b ) ( s − c ) : ( s − c ) ( s − a ) : ( s − a ) ( s − b ) {\displaystyle (s-b)(s-c):(s-c)(s-a):(s-a)(s-b)} . The Nagel point...
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triangle and bisecting the perimeter. The three splitters concur at the Nagel point of the triangle. Any line through a triangle that splits both the triangle's...
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a single point of view ("ego"). The term was coined and illuminated by Thomas Nagel in his famous paper "What Is it Like to Be a Bat?" Nagel argues that...
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cubic passes through the centroid, orthocenter, Gergonne point, Nagel point, de Longchamps point, other triangle centers, the vertices of the anticomplementary...
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Each point in the list is identified by an index number of the form X(n) —for example, X(1) is the incenter. The information recorded about each point includes...
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the line segment between the orthocenter H {\displaystyle H} and the Nagel point N {\displaystyle N} . This circle is identical with the circumcircle...
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cevian that bisects the perimeter. The three splitters concur at the Nagel point of the triangle. Three of the area bisectors of a triangle are its medians...
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The View from Nowhere (category Works by Thomas Nagel)
subjective perspective that reflects a point of view or an objective perspective that takes a more detached perspective. Nagel describes the objective perspective...
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importantly, the Nagel point N, the "area centroid" G, and the incenter I are collinear in this order, and NG = 2GI. This line is called the Nagel line of a...
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