List questions from euclidean-geometry

Published on 26 Mar 2026 - 8:14

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For convex cyclic hexagon $ABCDEF$, show $AC\cdot BD \cdot CE \cdot DF \cdot EA\cdot FB \geq 27\cdot AB\cdot BC\cdot CD \cdot DE\cdot EF\cdot FA$

Published on 26 Mar 2026 - 11:17

49

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Find the location of point M where $MA-MB=2L$ , $Given length$

Published on 03 Apr 2026 - 13:53

55

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Is it possible to tile two planes, which have some line segments identified, in ways which can't be replicated on just one?

Published on 25 Mar 2026 - 9:18

70

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Calculate Triangular Region Area $ MNE $

Published on 12 Jan 2020 - 1:30

223

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How to find angle inside a right isosceles triangle with one side and an angle given

Published on 13 Jan 2020 - 15:25

125

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Prove that $AI=PI$

Published on 13 Jan 2020 - 15:30

84

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A basic problem about Thales's theorem

Published on 13 Jan 2020 - 19:54

174

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Find locus of Q of an equalateral triangle APQ with A fixed and P moving along a line

Published on 03 Apr 2026 - 15:39

308

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Arbelos and circles of Archimedes proof using an inversion circle

Published on 15 Jan 2020 - 2:24

225

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Classification of isometry (and similarity transformation) in higher dimensions

Published on 15 Jan 2020 - 21:32

144

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A point inside triangle $ABC$.

Published on 03 Apr 2026 - 15:28

37

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relative motion between particles

Published on 02 Apr 2026 - 3:12

110

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IMO 2011 Problem #6

Published on 16 Jan 2020 - 13:58

437

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Point $P$ in parallelogram $ABCD$ is such that $\angle APB+\angle CPD=180^\circ$. Prove $AP\cdot CP+BP\cdot DP=AB\cdot BC$

Published on 25 Mar 2026 - 21:50

List Question

A point inside a triangle

For convex cyclic hexagon $ABCDEF$, show $AC\cdot BD \cdot CE \cdot DF \cdot EA\cdot FB \geq 27\cdot AB\cdot BC\cdot CD \cdot DE\cdot EF\cdot FA$

Find the location of point M where $MA-MB=2L$ , $Given length$

Is it possible to tile two planes, which have some line segments identified, in ways which can't be replicated on just one?

Calculate Triangular Region Area $ MNE $

How to find angle inside a right isosceles triangle with one side and an angle given

Prove that $AI=PI$

A basic problem about Thales's theorem

Find locus of Q of an equalateral triangle APQ with A fixed and P moving along a line

Arbelos and circles of Archimedes proof using an inversion circle

Classification of isometry (and similarity transformation) in higher dimensions

A point inside triangle $ABC$.

relative motion between particles

IMO 2011 Problem #6

Point $P$ in parallelogram $ABCD$ is such that $\angle APB+\angle CPD=180^\circ$. Prove $AP\cdot CP+BP\cdot DP=AB\cdot BC$

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