Question

Assuming that the sum of the angles of any triangle is 180, how can I deduce Euclid's 5th postulate?

score 2.3k · Answer 1 · 2026-04-14 10:47:51

2.3k

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Assuming that the sum of the angles of any triangle is 180, how can I deduce Euclid's 5th postulate?

Published on 14 Apr 2026 - 10:47

score 2.7k · Answer 2 · 2026-04-15 12:23:32

2.7k

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Prove any line passes through at least two points

Published on 15 Apr 2026 - 12:23

score 92 · Answer 3 · 2026-04-12 23:59:59

92

Views

Confusion on wording of an elementary geometry problem

Published on 12 Apr 2026 - 23:59

score 45 · Answer 4 · 2026-04-14 02:56:26

45

Views

How does one get $p=2$ from a condition that there be non-trivial linear transformations of every dimension that to any power are $p$-norm-preserving?

Published on 14 Apr 2026 - 2:56

score 8.1k · Answer 5 · 2026-04-28 18:59:24

8.1k

Views

Distance between incentre and orthocentre.

Published on 28 Apr 2026 - 18:59

score 3.1k · Answer 6 · 2026-04-15 18:04:36

3.1k

Views

The Golden Ratio in a Circle and Equilateral Triangle. Geometric/Trigonometric Proof?

Published on 15 Apr 2026 - 18:04

score 147 · Answer 7 · 2026-03-29 12:51:09

147

Views

An interesting geometry problem with angle bisectors and tangent

Published on 29 Mar 2026 - 12:51

score 285 · Answer 8 · 2026-04-17 11:44:39

285

Views

maximal volume/diameter of polyhedron

Published on 17 Apr 2026 - 11:44

score 693 · Answer 9 · 2026-04-14 09:40:59

693

Views

Found a New Golden Ratio Construction with Equilateral Triangle, Square, and Circle. Geometric/Trigonmetric proof?

Published on 14 Apr 2026 - 9:40

score 344 · Answer 10 · 2026-04-16 15:04:50

344

Views

New Golden Ratio Construct: which one of my constructs is superior/simplest--squares & circles or just circles?

Published on 16 Apr 2026 - 15:04

score 156 · Answer 11 · 2026-04-28 19:00:42

156

Views

Prove inequality with $e^x$ and $\ln$ on the same side

Published on 28 Apr 2026 - 19:00

score 177 · Answer 12 · 2026-04-15 12:46:22

177

Views

USAMO 2005, Problem3 (Triangle Geometry)- Is my solution correct?

Published on 15 Apr 2026 - 12:46

score 222 · Answer 13 · 2026-04-16 03:41:56

222

Views

Can $n$ circles be drawn such that all have a common intersection but no two intersect individually

Published on 16 Apr 2026 - 3:41

score 28 · Answer 14 · 2026-03-29 16:47:53

28

Views

Do non-trivial closed and bounded convex sets with this property exist?

Published on 29 Mar 2026 - 16:47

score 841 · Answer 15 · 2026-04-16 02:16:19

841

Views

Number of chords of a circle having natural length

Published on 16 Apr 2026 - 2:16

List Question

Assuming that the sum of the angles of any triangle is 180, how can I deduce Euclid's 5th postulate?

Prove any line passes through at least two points

Confusion on wording of an elementary geometry problem

How does one get $p=2$ from a condition that there be non-trivial linear transformations of every dimension that to any power are $p$-norm-preserving?

Distance between incentre and orthocentre.

The Golden Ratio in a Circle and Equilateral Triangle. Geometric/Trigonometric Proof?

An interesting geometry problem with angle bisectors and tangent

maximal volume/diameter of polyhedron

Found a New Golden Ratio Construction with Equilateral Triangle, Square, and Circle. Geometric/Trigonmetric proof?

New Golden Ratio Construct: which one of my constructs is superior/simplest--squares & circles or just circles?

Prove inequality with $e^x$ and $\ln$ on the same side

USAMO 2005, Problem3 (Triangle Geometry)- Is my solution correct?

Can $n$ circles be drawn such that all have a common intersection but no two intersect individually

Do non-trivial closed and bounded convex sets with this property exist?

Number of chords of a circle having natural length

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