List questions from euclidean-geometry

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How to find the closest line from a convex hull to an arbitrary point

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It's given $ABCD$ an isosceles trapezioid with $A(2,6,-3,9),\, B(4,4,7,3),\, C(8,2,7,-1)$, $AB||CD$, find $D$.

Published on 10 Jul 2020 - 6:23

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Coordinate proof that the sum of a triangle's angles is $180^\circ$?

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How to find third coordinate $O(x,y,z)$ on plane $E$ by using two known points, degrees.

Published on 11 Apr 2026 - 21:15

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Heron's Formula Intuitive Geometric Proof

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For any complex $z$, $|z-1|\leq |z-j|+|z-j^2|$

Published on 12 Apr 2026 - 14:33

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Solving geometry question by vector and pure geometry.

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163

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Prove that the diagonals of a regular octagon intersect at the angular points of a square.

Published on 11 Jul 2020 - 13:14

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How to prove that $ABCD$ is a parallelogram?

Published on 28 Mar 2026 - 15:26

82

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The Euclidean metric after the mapping $f:\Bbb R^2 \to \Bbb R^{2+}$ with $f(x,y)=(e^x,e^y),$ is what?

Published on 07 Apr 2026 - 13:48

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Why the system of equation has a nontrivial solution?

Published on 25 Mar 2026 - 7:43

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Euclidean construction of sine curve

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What is the locus of points equidistant from two circles?

Published on 26 Mar 2026 - 6:21

201

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Geometry question from IMO 2009

Published on 11 Apr 2026 - 20:48

List Question

Find the length of the line that connects Cylinder's bases

How to find the closest line from a convex hull to an arbitrary point

It's given $ABCD$ an isosceles trapezioid with $A(2,6,-3,9),\, B(4,4,7,3),\, C(8,2,7,-1)$, $AB||CD$, find $D$.

Coordinate proof that the sum of a triangle's angles is $180^\circ$?

How to find third coordinate $O(x,y,z)$ on plane $E$ by using two known points, degrees.

Heron's Formula Intuitive Geometric Proof

For any complex $z$, $|z-1|\leq |z-j|+|z-j^2|$

Solving geometry question by vector and pure geometry.

Prove that the diagonals of a regular octagon intersect at the angular points of a square.

How to prove that $ABCD$ is a parallelogram?

The Euclidean metric after the mapping $f:\Bbb R^2 \to \Bbb R^{2+}$ with $f(x,y)=(e^x,e^y),$ is what?

Why the system of equation has a nontrivial solution?

Euclidean construction of sine curve

What is the locus of points equidistant from two circles?

Geometry question from IMO 2009

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