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Ratio in which incenter divides median

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#geometry #triangles #analytic-geometry #triangle-centres
106
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Intuition for why triangles have unique incircles

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#geometry #triangles #circles #intuition #triangle-centres
38
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Will point M act as a centre of circle, and if yes. Why?

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#geometry #triangles #circles #triangle-centres
71
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How long can we iterate circumcenters?

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#geometry #set-theory #euclidean-geometry #triangles #triangle-centres
138
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Coinciding centroids of two triangles

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#geometry #triangles #triangle-centres
119
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Prove that in an acute triangle a line drawn through $A$ and the circumcenter is perpendicular to the reflection of $BC$ on the angle bisector of $A$

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#geometry #triangles #triangle-centres
33
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How to to find coordinates of the center of a triangle in a $3$-d environment if the $x, y, z$ vertexes are known?

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#geometry #triangles #barycentric-coordinates #triangle-centres
121
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Show that the circumscribed circle passes through the middle of the segment determined by center of the incircle and the center of an excircle.

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#geometry #euclidean-geometry #triangles #triangle-centres
162
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Possible triangle center associated with Apollonius circle of excircles

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#geometry #euclidean-geometry #triangles #circles #triangle-centres
677
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Why is the distance from orthocenter to vertex twice the distance from circumcenter to opposite side?

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#geometry #triangles #triangle-centres
50
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What is this triangle center, and is this a valid formula for it?

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#geometry #reference-request #triangle-centres
94
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Is this a sufficient amount of knowledge to define a unique ellipse?

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#geometry #conic-sections #tangent-line #triangle-centres
164
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How can I use nine-point circle to solve this concyclic problem

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#geometry #euclidean-geometry #triangles #circles #triangle-centres
93
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$X_{25}$ Point in a Triangle

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#euclidean-geometry #triangle-centres
92
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Area of a triangle $\triangle ABC$

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#geometry #triangles #area #median #triangle-centres

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