List questions from euclidean-geometry

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Do Euclidean geometry preservers parallelism of lines and area ratios?

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dimension of space of origin-symmetric ellipsoids

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Prove that the bisectors of the 4 interior angles of a quadrilateral form a cyclic quadrilateral.

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Surfaces with self intersection in 3-space

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Probability function of Euclidean distance between 2 vectors and origin?

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A construction with ruler and rusty compass

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79

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Hyperbola with its directrix

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114

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A similarity of $\Bbb Q^2$ without a fixed point

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Proving $AE+AP=PD$ In a Certain Right Triangle

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Equation of a circle tangent to two lines , given the radius .

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Locus of circumcentre

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What is the geometry behind $\frac{\tan 10^\circ}{\tan 20^\circ}=\frac{\tan 30^\circ}{\tan 50^\circ}$?

Published on 14 Apr 2026 - 20:03

448

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Point of intersection of tangents

Published on 13 Apr 2026 - 17:06

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Locus of vertex

Published on 13 Apr 2026 - 1:17

List Question

Coordinates of circumcentre of an isosceles triangle in 3D

Do Euclidean geometry preservers parallelism of lines and area ratios?

dimension of space of origin-symmetric ellipsoids

Prove that the bisectors of the 4 interior angles of a quadrilateral form a cyclic quadrilateral.

Surfaces with self intersection in 3-space

Probability function of Euclidean distance between 2 vectors and origin?

A construction with ruler and rusty compass

Hyperbola with its directrix

A similarity of $\Bbb Q^2$ without a fixed point

Proving $AE+AP=PD$ In a Certain Right Triangle

Equation of a circle tangent to two lines , given the radius .

Locus of circumcentre

What is the geometry behind $\frac{\tan 10^\circ}{\tan 20^\circ}=\frac{\tan 30^\circ}{\tan 50^\circ}$?

Point of intersection of tangents

Locus of vertex

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