List questions from euclidean-geometry

Published on 13 Apr 2026 - 5:50

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How do I prove this geometry problem?

Published on 09 Apr 2026 - 7:16

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In right triangle $ABC$ ($\angle A=90$), $E$ is a point on $AC$.Find $AE$ given that...

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Bolyai-Gerwien Theorem

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Prove that a triangle can be inscribed in the hyperbola $xy=c^2$ whose sides touch the parabola $y^2=4ax$.

Published on 15 Apr 2026 - 19:54

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Quadrilateral $PQRS$ is a trapezium.

Published on 15 Apr 2026 - 4:56

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Directed line segments in Euclidean space

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207

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For any line segment $ab$ there are unique points $a,b$

Published on 14 Apr 2026 - 22:50

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Orthographic distance to projection distance

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67

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Choosing tangent point for incircle

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788

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How can 2D points be interpolated?

Published on 12 Apr 2026 - 2:18

337

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Proving $\triangle DCA$ is isosceles if point $D$ satisfies $\angle DCA=\angle DBC=30^\circ$ in right isosceles $\triangle ABC$

Published on 15 Apr 2026 - 19:11

119

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Triangle geometry problem

Published on 09 Apr 2026 - 7:12

390

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Most elementary argument using length of a circumscribed square to prove that $\pi < 4$

Published on 16 Apr 2026 - 1:51

119

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Finding length of a side in a right triangle with these conditions

Published on 13 Apr 2026 - 20:12

List Question

How to prove that a quadrilateral with a circle inscribed inside it is cyclic?

How do I prove this geometry problem?

In right triangle $ABC$ ($\angle A=90$), $E$ is a point on $AC$.Find $AE$ given that...

Bolyai-Gerwien Theorem

Prove that a triangle can be inscribed in the hyperbola $xy=c^2$ whose sides touch the parabola $y^2=4ax$.

Quadrilateral $PQRS$ is a trapezium.

Directed line segments in Euclidean space

For any line segment $ab$ there are unique points $a,b$

Orthographic distance to projection distance

Choosing tangent point for incircle

How can 2D points be interpolated?

Proving $\triangle DCA$ is isosceles if point $D$ satisfies $\angle DCA=\angle DBC=30^\circ$ in right isosceles $\triangle ABC$

Triangle geometry problem

Most elementary argument using length of a circumscribed square to prove that $\pi < 4$

Finding length of a side in a right triangle with these conditions

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