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of the triangle. The three lines connecting the triangle vertices to the opposite points of tangency all meet in a single point, the
120:). The Mandart inellipse is named after H. Mandart, who studied it in two papers published in the late 19th century.
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244:{\displaystyle x:y:z={\frac {a}{b+c-a}}:{\frac {b}{a+c-b}}:{\frac {c}{a+b-c}}}
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294:, a different ellipse tangent to a triangle at the midpoints of its sides
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Inellipse tangent where the triangle's excircles touch its sides
314:"Control point based representation of inellipses of triangles"
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Mandart, H. (1893), "Sur l'hyperbole de
Feuerbach",
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132:, the Mandart inellipse is described by the
274:The center of the Mandart inellipse is the
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388:"Sur une ellipse associée au triangle"
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54:to each corresponding edge midpoint (
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321:Annales Mathematicae et Informaticae
112:(which are also the vertices of the
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266:are sides of the given triangle.
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445:Curves defined for a triangle
351:"Generalized Mandart conics"
50: Lines from triangle's
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116:and the endpoints of the
349:Gibert, Bernard (2004),
27: Arbitrary triangle
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312:Juhász, Imre (2012),
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386:Mandart, H. (1894),
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421:"Mandart Inellipse"
358:Forum Geometricorum
418:Weisstein, Eric W.
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292:Steiner inellipse
282:of the triangle.
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90:Mandart inellipse
35:Mandart inellipse
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37:(centered at
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280:Nagel point
276:mittenpunkt
74:Nagel point
72:(concur at
39:mittenpunkt
134:parameters
124:Parameters
426:MathWorld
396:: 241–245
364:: 177–198
327:: 37–46,
233:−
206:−
179:−
118:splitters
110:excircles
70:Splitters
52:excenters
439:Category
393:Mathesis
379:Mathesis
286:See also
100:that is
94:triangle
86:geometry
382:: 81–89
333:3005114
130:inconic
106:tangent
98:ellipse
331:
262:, and
254:where
128:As an
96:is an
88:, the
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56:concur
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354:(PDF)
317:(PDF)
299:Notes
92:of a
84:In
58:at
441::
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341:^
329:MR
325:40
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161:=
158:z
155::
152:y
149::
146:x
79:)
77:N
62:)
60:M
44:)
42:M
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