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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Spieker circle (section Nagel points and lines)
the Nagel line relates to the circumcenter for the Euler line. Another analogous pair of points is the Nagel point and the orthocenter, with the Nagel point...
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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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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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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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orthocenter, Gergonne point, Nagel point, mittenpunkt and Schiffler point. The center of the hyperbola is the Feuerbach point, the point of tangency of the...
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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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\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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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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{\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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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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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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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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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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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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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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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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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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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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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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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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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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point is the third Brocard point, and the isotomic conjugate of the Gergonne point (whose Cevian triangle is the intouch triangle) is the Nagel point...
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△ABC S is collinear with the incenter (I), the centroid (G), and the Nagel point (N) of triangle △ABC. Moreover, I S = S M , I G = 2 ⋅ G S , M G = 2 ⋅...
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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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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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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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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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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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