Question

How to study Euclidean geometry from axioms?

score 192 · Answer 1 · 2026-03-27 14:53:11

192

Views

How to study Euclidean geometry from axioms?

Published on 27 Mar 2026 - 14:53

score 181 · Answer 2 · 2026-03-27 10:29:03

181

Views

What means ''direction'' in hyperbolic geometry?

Published on 27 Mar 2026 - 10:29

score 465 · Answer 3 · 2026-02-23 12:09:14

465

Views

Is there criticism in literature of Euclid's fifth common notion ("The whole is greater than the part")?

Published on 23 Feb 2026 - 12:09

score 60 · Answer 4 · 2026-02-23 12:04:01

60

Views

Strength of languages - midpoints+betweenness vs congrunece+betweenness

Published on 23 Feb 2026 - 12:04

score 66 · Answer 5 · 2026-02-23 12:06:19

66

Views

Is this axiomatization of affine plane categorical?

Published on 23 Feb 2026 - 12:06

score 797 · Answer 6 · 2026-02-23 12:01:19

797

Views

A line divides a plane into two half-planes

Published on 23 Feb 2026 - 12:01

score 116 · Answer 7 · 2026-02-23 12:01:18

116

Views

Given axioms, how do we know it defines a geometry?

Published on 23 Feb 2026 - 12:01

score 156 · Answer 8 · 2026-02-23 12:04:31

156

Views

Is there a formalization of the link between geometry and analytical geometry?

Published on 23 Feb 2026 - 12:04

score 57 · Answer 9 · 2026-02-23 12:09:15

57

Views

Why is $\mathbb{R}^2$ endowed with the taxicab metric isomorphic to the infinity distance model of the cartesian real plane? (Hartshorne exercise 8.9)

Published on 23 Feb 2026 - 12:09

score 176 · Answer 10 · 2026-02-23 12:07:14

176

Views

Model of ordered plane which is neither isomorphic to $\mathbb{R}^2$ nor to Klein model

Published on 23 Feb 2026 - 12:07

score 87 · Answer 11 · 2026-02-23 12:05:32

87

Views

Reference for the notion of "dimension" in incidence geometry?

Published on 23 Feb 2026 - 12:05

score 485 · Answer 12 · 2026-02-23 12:02:40

485

Views

Are the following statements equivalent to the parallel postulate?

Published on 23 Feb 2026 - 12:02

score 430 · Answer 13 · 2026-02-23 12:06:15

430

Views

If two medians are congruent... is the triangle isosceles in a Hilbert plane?

Published on 23 Feb 2026 - 12:06

score 38 · Answer 14 · 2026-02-23 12:07:13

38

Views

Continuity axioms for the real projective line in terms of a separation relation

Published on 23 Feb 2026 - 12:07

score 200 · Answer 15 · 2026-02-23 12:07:13

200

Views

Model of ordered plane with continuity and at least one line not isomorphic to $\mathbb{R}$.

Published on 23 Feb 2026 - 12:07

List Question

How to study Euclidean geometry from axioms?

What means ''direction'' in hyperbolic geometry?

Is there criticism in literature of Euclid's fifth common notion ("The whole is greater than the part")?

Strength of languages - midpoints+betweenness vs congrunece+betweenness

Is this axiomatization of affine plane categorical?

A line divides a plane into two half-planes

Given axioms, how do we know it defines a geometry?

Is there a formalization of the link between geometry and analytical geometry?

Why is $\mathbb{R}^2$ endowed with the taxicab metric isomorphic to the infinity distance model of the cartesian real plane? (Hartshorne exercise 8.9)

Model of ordered plane which is neither isomorphic to $\mathbb{R}^2$ nor to Klein model

Reference for the notion of "dimension" in incidence geometry?

Are the following statements equivalent to the parallel postulate?

If two medians are congruent... is the triangle isosceles in a Hilbert plane?

Continuity axioms for the real projective line in terms of a separation relation

Model of ordered plane with continuity and at least one line not isomorphic to $\mathbb{R}$.

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