Question

How to study Euclidean geometry from axioms?

score 190 · Answer 1 · 2018-11-03 19:43:36

190

Views

How to study Euclidean geometry from axioms?

Published on 03 Nov 2018 - 19:43

score 179 · Answer 2 · 2018-12-18 21:35:51

179

Views

What means ''direction'' in hyperbolic geometry?

Published on 18 Dec 2018 - 21:35

score 464 · Answer 3 · 2019-02-04 05:41:10

464

Views

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

Published on 04 Feb 2019 - 5:41

score 59 · Answer 4 · 2019-02-10 17:10:14

59

Views

Strength of languages - midpoints+betweenness vs congrunece+betweenness

Published on 10 Feb 2019 - 17:10

score 65 · Answer 5 · 2019-03-07 01:14:52

65

Views

Is this axiomatization of affine plane categorical?

Published on 07 Mar 2019 - 1:14

score 796 · Answer 6 · 2019-03-10 23:09:25

796

Views

A line divides a plane into two half-planes

Published on 10 Mar 2019 - 23:09

score 115 · Answer 7 · 2019-03-18 19:02:52

115

Views

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

Published on 18 Mar 2019 - 19:02

score 155 · Answer 8 · 2019-04-11 07:08:04

155

Views

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

Published on 11 Apr 2019 - 7:08

score 56 · Answer 9 · 2019-04-14 22:30:35

56

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 14 Apr 2019 - 22:30

score 175 · Answer 10 · 2019-04-15 17:11:14

175

Views

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

Published on 15 Apr 2019 - 17:11

score 86 · Answer 11 · 2019-05-05 11:10:09

86

Views

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

Published on 05 May 2019 - 11:10

score 484 · Answer 12 · 2019-05-05 20:08:11

484

Views

Are the following statements equivalent to the parallel postulate?

Published on 05 May 2019 - 20:08

score 429 · Answer 13 · 2019-05-19 22:54:06

429

Views

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

Published on 19 May 2019 - 22:54

score 37 · Answer 14 · 2019-08-02 13:50:41

37

Views

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

Published on 02 Aug 2019 - 13:50

score 199 · Answer 15 · 2019-09-07 20:42:45

199

Views

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

Published on 07 Sep 2019 - 20:42

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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