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A hard geometry problem involving harmonic divisions

score 191 · Answer 1 · 2026-02-23 13:01:29

191

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A hard geometry problem involving harmonic divisions

Published on 23 Feb 2026 - 13:01

score 102 · Answer 2 · 2026-02-23 13:05:54

102

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Properties of an apparently new triangle centre with trilinear coordinates $\frac1{\sqrt{a\cos A}}:\frac1{\sqrt{b\cos B}}:\frac1{\sqrt{c\cos C}}$

Published on 23 Feb 2026 - 13:05

score 105 · Answer 3 · 2026-02-23 13:01:29

105

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Interpretation of complex trilinear coordinates

Published on 23 Feb 2026 - 13:01

score 217 · Answer 4 · 2026-02-23 10:02:51

217

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Convergence of Mixtilinear Triangles to a Point

Published on 23 Feb 2026 - 10:02

score 145 · Answer 5 · 2026-02-23 13:02:18

145

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Geometry problem - prove that incentre of two triangles coincide

Published on 23 Feb 2026 - 13:02

score 93 · Answer 6 · 2026-02-23 13:04:26

93

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Circumcircle of mid points of a triangle touching the circumcircle of the triangle

Published on 23 Feb 2026 - 13:04

score 77 · Answer 7 · 2026-02-23 12:59:37

77

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A Euclidean Geometry Construction

Published on 23 Feb 2026 - 12:59

score 46 · Answer 8 · 2026-02-23 13:03:44

46

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What do we call a point in a triangle where the length from it to the other vertices are equal?

Published on 23 Feb 2026 - 13:03

score 449 · Answer 9 · 2026-02-23 13:04:51

449

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How to calculate coordinates of equilateral triangle point from coordinate of centroids and rotation?

Published on 23 Feb 2026 - 13:04

score 125 · Answer 10 · 2026-02-23 13:04:26

125

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Is it possible to find the vertices of a triangle given its incenter, circumcenter and centroid?

Published on 23 Feb 2026 - 13:04

score 716 · Answer 11 · 2026-02-23 13:04:26

716

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Distances between the circumcenter, orthocenter, incenter, and nine-point center of a triangle

Published on 23 Feb 2026 - 13:04

score 61 · Answer 12 · 2026-02-23 13:03:11

61

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Using cosine rule to find distance between circumcenter and excenter

Published on 23 Feb 2026 - 13:03

score 869 · Answer 13 · 2026-02-23 13:03:23

869

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What is the geometrical importance of the Euler Line?

Published on 23 Feb 2026 - 13:03

score 83 · Answer 14 · 2026-02-23 13:06:24

83

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Shortest distance between orthocenter and origin

Published on 23 Feb 2026 - 13:06

score 417 · Answer 15 · 2026-02-23 13:05:54

417

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Let $T$ be the centroid of a triangle $ABC$, and let $P$ be the midpoint of the side $\overline{AC}$. The line containing the point $T$ parallel to th

Published on 23 Feb 2026 - 13:05

List Question

A hard geometry problem involving harmonic divisions

Properties of an apparently new triangle centre with trilinear coordinates $\frac1{\sqrt{a\cos A}}:\frac1{\sqrt{b\cos B}}:\frac1{\sqrt{c\cos C}}$

Interpretation of complex trilinear coordinates

Convergence of Mixtilinear Triangles to a Point

Geometry problem - prove that incentre of two triangles coincide

Circumcircle of mid points of a triangle touching the circumcircle of the triangle

A Euclidean Geometry Construction

What do we call a point in a triangle where the length from it to the other vertices are equal?

How to calculate coordinates of equilateral triangle point from coordinate of centroids and rotation?

Is it possible to find the vertices of a triangle given its incenter, circumcenter and centroid?

Distances between the circumcenter, orthocenter, incenter, and nine-point center of a triangle

Using cosine rule to find distance between circumcenter and excenter

What is the geometrical importance of the Euler Line?

Shortest distance between orthocenter and origin

Let $T$ be the centroid of a triangle $ABC$, and let $P$ be the midpoint of the side $\overline{AC}$. The line containing the point $T$ parallel to th

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