List questions from euclidean-geometry

Published on 30 Apr 2026 - 10:41

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Prove that the perimeter and midline of a trapezoid circumscribed about a circle are commensurable.

Published on 18 Oct 2015 - 16:49

976

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Groups containing two rotations.

Published on 19 Oct 2015 - 23:38

38

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P is an arbitary point , and p=AP/AC. x=AX/AM, where AM is a median. Observe that x=2/3 when p=1/2. Find a general formula for x in terms of p.

Published on 13 Apr 2026 - 19:15

234

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Time-derivative of the euclidean norm squared doesn't explicitly depend on time?

Published on 21 Oct 2015 - 12:48

1.1k

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How to find the inradius of orthic triangle?

Published on 28 Mar 2026 - 10:23

303

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Prove the smallest circle containing an equilateral triangle has radius d/sqrt(3)

Published on 21 Oct 2015 - 15:12

253

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Prove that $AF$ is perpendicular to $BE$

Published on 21 Oct 2015 - 16:45

33

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Determine co-ordinates of point?

Published on 22 Oct 2015 - 10:37

89

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Proving perpendicularity

Published on 22 Apr 2026 - 14:26

1.9k

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Find the distance from P to C

Published on 23 Oct 2015 - 8:52

8k

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Prove that the Cartesian product of two topological manifolds is a topological manifold.

Published on 29 Apr 2026 - 18:20

93

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Proving angles in the same corner equal

Published on 11 Apr 2026 - 15:50

137

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Construction of a square ABCD

Published on 24 Apr 2026 - 23:11

1.7k

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Show that any vectors in $\Bbb R^2$ can be written as a linear combination of two orthogonal vectors.

Published on 24 Oct 2015 - 22:42

List Question

Not a polyhedral complex example

Prove that the perimeter and midline of a trapezoid circumscribed about a circle are commensurable.

Groups containing two rotations.

P is an arbitary point , and p=AP/AC. x=AX/AM, where AM is a median. Observe that x=2/3 when p=1/2. Find a general formula for x in terms of p.

Time-derivative of the euclidean norm squared doesn't explicitly depend on time?

How to find the inradius of orthic triangle?

Prove the smallest circle containing an equilateral triangle has radius d/sqrt(3)

Prove that $AF$ is perpendicular to $BE$

Determine co-ordinates of point?

Proving perpendicularity

Find the distance from P to C

Prove that the Cartesian product of two topological manifolds is a topological manifold.

Proving angles in the same corner equal

Construction of a square ABCD

Show that any vectors in $\Bbb R^2$ can be written as a linear combination of two orthogonal vectors.

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