Question

What does the primitive relations "betweenness" defined in Cayley–Klein model? What's the difference to the Euclidean geometry?

score 96 · Answer 1 · 2020-03-08 20:30:46

96

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What does the primitive relations "betweenness" defined in Cayley–Klein model? What's the difference to the Euclidean geometry?

Published on 08 Mar 2020 - 20:30

score 47 · Answer 2 · 2020-03-20 09:07:04

47

Views

showing a non-Euclidean property in Geometry

Published on 20 Mar 2020 - 9:07

score 226 · Answer 3 · 2020-03-24 18:56:11

226

Views

Can a "biangle" on a sphere be considered a "regular polygon" on the sphere?

Published on 24 Mar 2020 - 18:56

score 876 · Answer 4 · 2020-04-01 08:26:50

876

Views

In non-euclidean geometry, can hypotenus of rightangle triangle be shorter than sides?

Published on 01 Apr 2020 - 8:26

score 72 · Answer 5 · 2020-04-15 19:08:44

72

Views

generalizing linear separability and the perceptron algorithm

Published on 15 Apr 2020 - 19:08

score 38 · Answer 6 · 2020-04-24 11:08:38

38

Views

Conjecture: $\pi\le\sum_{cyc}\operatorname{arcsec}(f(a,b,c))\le3\pi/2$, where $f(a,b,c)=\frac{a^2+b^2-c^2-a^2b^2c^2}{2ab(1-c^2)}$ and $a,b,c>\sqrt{3}$

Published on 24 Apr 2020 - 11:08

score 694 · Answer 7 · 2020-04-28 17:10:13

694

Views

Why is the fourth angle of a Lambert quadrilateral obtuse in elliptic geometry?

Published on 28 Apr 2020 - 17:10

score 136 · Answer 8 · 2020-05-15 23:27:06

136

Views

distance in nonEuclidean geometries

Published on 15 May 2020 - 23:27

score 207 · Answer 9 · 2020-05-16 04:47:59

207

Views

Does Minkowski space have anything to do with Minkowski geometry?

Published on 16 May 2020 - 4:47

score 103 · Answer 10 · 2020-05-18 14:39:57

103

Views

Is there an explanation/theorem which explains why the triangle is so fundamental in euclidean space?

Published on 18 May 2020 - 14:39

score 262 · Answer 11 · 2020-05-26 11:38:43

262

Views

Hyperbolic Geometry - Triangle Bisectors Proof

Published on 26 May 2020 - 11:38

score 48 · Answer 12 · 2020-05-28 21:32:25

48

Views

Are there geometries in which points have finitely many parallel lines?

Published on 28 May 2020 - 21:32

score 525 · Answer 13 · 2020-06-08 00:09:21

525

Views

How is Euclid's 5th Postulate wrong exactly? Why do we think that parallel lines and geodesics are the same?

Published on 08 Jun 2020 - 0:09

score 75 · Answer 14 · 2020-06-16 18:49:16

75

Views

Is there any proof that Euclid's fifth postulate cannot be proven?

Published on 16 Jun 2020 - 18:49

score 806 · Answer 15 · 2020-06-21 16:04:56

806

Views

How does spherical geometry contradict Euclid's parallel postulate?

Published on 21 Jun 2020 - 16:04

List Question

What does the primitive relations "betweenness" defined in Cayley–Klein model? What's the difference to the Euclidean geometry?

showing a non-Euclidean property in Geometry

Can a "biangle" on a sphere be considered a "regular polygon" on the sphere?

In non-euclidean geometry, can hypotenus of rightangle triangle be shorter than sides?

generalizing linear separability and the perceptron algorithm

Conjecture: $\pi\le\sum_{cyc}\operatorname{arcsec}(f(a,b,c))\le3\pi/2$, where $f(a,b,c)=\frac{a^2+b^2-c^2-a^2b^2c^2}{2ab(1-c^2)}$ and $a,b,c>\sqrt{3}$

Why is the fourth angle of a Lambert quadrilateral obtuse in elliptic geometry?

distance in nonEuclidean geometries

Does Minkowski space have anything to do with Minkowski geometry?

Is there an explanation/theorem which explains why the triangle is so fundamental in euclidean space?

Hyperbolic Geometry - Triangle Bisectors Proof

Are there geometries in which points have finitely many parallel lines?

How is Euclid's 5th Postulate wrong exactly? Why do we think that parallel lines and geodesics are the same?

Is there any proof that Euclid's fifth postulate cannot be proven?

How does spherical geometry contradict Euclid's parallel postulate?

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