Question

On the maximum area of a triangle with the fixed distances from its vertices to a given point.

score 141 · Answer 1 · 2026-04-15 19:37:22

141

Views

On the maximum area of a triangle with the fixed distances from its vertices to a given point.

Published on 15 Apr 2026 - 19:37

score 68 · Answer 2 · 2026-04-16 06:22:09

68

Views

Is there any distance function such that $g(\mathbf{b}+\mathbf{c}) = g(\mathbf{b}) + g(\mathbf{c})$?

Published on 16 Apr 2026 - 6:22

score 108 · Answer 3 · 2026-04-16 04:37:46

108

Views

Prove that a parallelepiped with the property that the distance between each two opposite edges is the same is a cube.

Published on 16 Apr 2026 - 4:37

score 45 · Answer 4 · 2026-04-15 06:39:46

Prove that the only invariant point under a dilation with center $C$ is itself, and the only invariant lines under a dilation are lines through $C$.

score 63 · Answer 5 · 2026-04-15 15:24:55

63

Views

1984 IMO Q4 Geometry proof check

Published on 15 Apr 2026 - 15:24

score 50 · Answer 6 · 2026-03-26 11:04:10

50

Views

Group of Oriented Edges of a Tiling

Published on 26 Mar 2026 - 11:04

score 50 · Answer 7 · 2026-04-12 18:42:38

50

Views

Angle congruence in a basic two circle Geometry problem

Published on 12 Apr 2026 - 18:42

score 65 · Answer 8 · 2026-04-13 07:41:14

65

Views

Derivation: Average distance from point to circle

Published on 13 Apr 2026 - 7:41

score 34 · Answer 9 · 2026-04-09 18:50:00

34

Views

Geometric structure of points with zeros on a hyperplane

Published on 09 Apr 2026 - 18:50

score 89 · Answer 10 · 2026-04-12 01:55:09

89

Views

Average Squared Distance to Any Point on Circle

Published on 12 Apr 2026 - 1:55

score 62 · Answer 11 · 2026-04-14 15:34:32

62

Views

Chords formed by intersecting lines through tangent circles

Published on 14 Apr 2026 - 15:34

score 89 · Answer 12 · 2026-04-17 05:53:18

89

Views

Why does Euclid need the Parallel Postulate to prove equal chords are equidistant from the center?

Published on 17 Apr 2026 - 5:53

score 166 · Answer 13 · 2026-04-15 18:56:17

166

Views

Find the area $x$ of the quadrilateral below

Published on 15 Apr 2026 - 18:56

score 1k · Answer 14 · 2026-04-13 10:03:21

1k

Views

Construct a perpendicular to a given line from a point not on the line in only three steps

Published on 13 Apr 2026 - 10:03

score 87 · Answer 15 · 2026-04-17 10:30:00

87

Views

Find point $M$ on the circle such that $MA+MB+MC$ is minimum/maximum

Published on 17 Apr 2026 - 10:30

List Question

On the maximum area of a triangle with the fixed distances from its vertices to a given point.

Is there any distance function such that $g(\mathbf{b}+\mathbf{c}) = g(\mathbf{b}) + g(\mathbf{c})$?

Prove that a parallelepiped with the property that the distance between each two opposite edges is the same is a cube.

Prove that the only invariant point under a dilation with center $C$ is itself, and the only invariant lines under a dilation are lines through $C$.

1984 IMO Q4 Geometry proof check

Group of Oriented Edges of a Tiling

Angle congruence in a basic two circle Geometry problem

Derivation: Average distance from point to circle

Geometric structure of points with zeros on a hyperplane

Average Squared Distance to Any Point on Circle

Chords formed by intersecting lines through tangent circles

Why does Euclid need the Parallel Postulate to prove equal chords are equidistant from the center?

Find the area $x$ of the quadrilateral below

Construct a perpendicular to a given line from a point not on the line in only three steps

Find point $M$ on the circle such that $MA+MB+MC$ is minimum/maximum

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