Question

Correspondence between real numbers and points of a line

score 147 · Answer 1 · 2023-08-14 16:34:27

147

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Correspondence between real numbers and points of a line

Published on 14 Aug 2023 - 16:34

score 54 · Answer 2 · 2023-09-24 05:58:46

54

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Axiomatic system that differentiates between straight lines and curved lines

Published on 24 Sep 2023 - 5:58

score 74 · Answer 3 · 2023-11-02 06:20:04

74

Views

Axiomatizing higher-dimensional geometries

Published on 02 Nov 2023 - 6:20

score 95 · Answer 4 · 2023-11-10 23:42:41

95

Views

A problem with Hilbert's "Foundations of Geometry" I.2 axiom.

Published on 10 Nov 2023 - 23:42

score 288 · Answer 5 · 2023-11-13 02:19:21

288

Views

Is it possible to take S.S.S. Congruence criterion as a postulate and prove S.A.S. and A.S.A. through it?

Published on 13 Nov 2023 - 2:19

score 27 · Answer 6 · 2023-11-14 08:00:21

27

Views

straightedge and compass construction in Hartshorne's Geometry: Euclid and Beyond

Published on 14 Nov 2023 - 8:00

score 16 · Answer 7 · 2024-02-01 20:28:59

16

Views

Is Pieri's ternary equidistance relation sufficient to axiomatize arbitrary Riemannian geometries?

Published on 01 Feb 2024 - 20:28

score 77 · Answer 8 · 2024-03-01 20:44:55

77

Views

Prove that the union of all lines containing a point A is the plane.

Published on 01 Mar 2024 - 20:44

score 1.7k · Answer 9 · 2015-01-27 12:19:21

1.7k

Views

Prove that there is exactly one perpendicular line

Published on 27 Jan 2015 - 12:19

score 1.4k · Answer 10 · 2015-01-27 15:48:15

1.4k

Views

Unique perpendicular line

Published on 27 Jan 2015 - 15:48

score 2.2k · Answer 11 · 2015-01-28 13:07:08

2.2k

Views

For each point on a line there exists a unique perpendicular line through that point

Published on 28 Jan 2015 - 13:07

score 460 · Answer 12 · 2015-01-30 19:48:25

460

Views

I am not able to construct a finite model for incidence axioms and axiom of parallels

Published on 30 Jan 2015 - 19:48

score 285 · Answer 13 · 2015-02-26 21:54:38

285

Views

Non-equivalent phrasings of Playfair's Axiom which are in use

Published on 26 Feb 2015 - 21:54

score 297 · Answer 14 · 2015-05-03 14:26:04

297

Views

Proving Pappus' theorem in a finite Affine Geometry

Published on 03 May 2015 - 14:26

score 398 · Answer 15 · 2015-09-13 15:41:57

398

Views

Proof of the associative property of segments (axiomatic geometry)

Published on 13 Sep 2015 - 15:41

List Question

Correspondence between real numbers and points of a line

Axiomatic system that differentiates between straight lines and curved lines

Axiomatizing higher-dimensional geometries

A problem with Hilbert's "Foundations of Geometry" I.2 axiom.

Is it possible to take S.S.S. Congruence criterion as a postulate and prove S.A.S. and A.S.A. through it?

straightedge and compass construction in Hartshorne's Geometry: Euclid and Beyond

Is Pieri's ternary equidistance relation sufficient to axiomatize arbitrary Riemannian geometries?

Prove that the union of all lines containing a point A is the plane.

Prove that there is exactly one perpendicular line

Unique perpendicular line

For each point on a line there exists a unique perpendicular line through that point

I am not able to construct a finite model for incidence axioms and axiom of parallels

Non-equivalent phrasings of Playfair's Axiom which are in use

Proving Pappus' theorem in a finite Affine Geometry

Proof of the associative property of segments (axiomatic geometry)

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