List questions from euclidean-geometry

Published on 22 Nov 2015 - 16:25

35

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Given $u,v\in \mathbb{S}^n$, then there exists a orthogonal matrix s.t. $u=O v$.

Published on 03 Apr 2026 - 8:50

407

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For every three points on a line, does there exist a triangle such that the three points are the orthocenter, circumcenter and centroid?

Published on 28 Mar 2026 - 10:16

109

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Distance between points at circles

Published on 23 Nov 2015 - 13:43

260

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Rotation Arc Length in 4D

Published on 03 Apr 2026 - 8:55

34

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minimization of sum of distances using elementary methods

Published on 18 Apr 2026 - 7:46

332

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sum of distances in acute-angled triangle

Published on 23 Apr 2026 - 14:26

56

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Similiar triangle inside a triangle based off of segment from feet of altitudes.

Published on 24 Nov 2015 - 20:03

148

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Using Affine Transformation to prove Concurrency

Published on 24 Nov 2015 - 23:17

319

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Orthogonality of vectors and its dependence on the inner product.

Published on 15 Apr 2026 - 13:04

1.8k

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If $J$ is tangent point of $GH$ with incircle of $FGH$ and $D$ is intersection of $F$-mixtilinear inclrcle with $(FGH)$, then $\angle FGH=\angle GDJ$.

Published on 01 Apr 2026 - 0:27

547

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Determine coordinate of a point on unit sphere

Published on 29 Mar 2026 - 5:49

313

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Hexagon tesselations

Published on 26 Apr 2026 - 7:44

64

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How to prove this theorem rhetorically?

Published on 12 Apr 2026 - 14:09

2.6k

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Rotation of a regular tetrahedron

Published on 11 May 2026 - 1:48

List Question

Prove/disprove statement about functions with special properties

Given $u,v\in \mathbb{S}^n$, then there exists a orthogonal matrix s.t. $u=O v$.

For every three points on a line, does there exist a triangle such that the three points are the orthocenter, circumcenter and centroid?

Distance between points at circles

Rotation Arc Length in 4D

minimization of sum of distances using elementary methods

sum of distances in acute-angled triangle

Similiar triangle inside a triangle based off of segment from feet of altitudes.

Using Affine Transformation to prove Concurrency

Orthogonality of vectors and its dependence on the inner product.

If $J$ is tangent point of $GH$ with incircle of $FGH$ and $D$ is intersection of $F$-mixtilinear inclrcle with $(FGH)$, then $\angle FGH=\angle GDJ$.

Determine coordinate of a point on unit sphere

Hexagon tesselations

How to prove this theorem rhetorically?

Rotation of a regular tetrahedron

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