Axiom von Pasch

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Axiom von Pasch

Quality:

Pasch's axiom - statement in plane geometry, used implicitly by Euclid, which cannot be derived from the postulates as Euclid gave them. Article “Axiom von Pasch” in German Wikipedia has 3.1 points for quality (as of July 1, 2025).

This article has the best quality in Catalan Wikipedia. However, the most popular language version of this article is English.

Since the creation of article “Axiom von Pasch”, its content was written by 31 registered users of German Wikipedia and edited by 196 registered Wikipedia users in all languages.

The article is cited 9 times in German Wikipedia and cited 90 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (German): #8113 in April 2005
  • Global: #35797 in November 2011

The highest popularity rank from 2008:

  • Local (German): #181468 in December 2008
  • Global: #325718 in November 2013

There are 15 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1Catalan (ca)
Axioma de Pasch
33.1944
2English (en)
Pasch's axiom
30.8048
3Greek (el)
Αξίωμα του Πας
25.3669
4Galician (gl)
Axioma de Pasch
23.4198
5Hungarian (hu)
Pasch-axióma
21.2465
6French (fr)
Axiome de Pasch
20.3978
7Dutch (nl)
Axioma van Pasch
18.069
8Polish (pl)
Aksjomat Pascha
14.3379
9Azerbaijani (az)
Tusi-Paş aksiomu
13.2524
10Ukrainian (uk)
Аксіома Паша
12.4235
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Axiom von Pasch" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Pasch's axiom
90 086
2Russian (ru)
Аксиома Паша
45 869
3Polish (pl)
Aksjomat Pascha
27 077
4German (de)
Axiom von Pasch
19 940
5Italian (it)
Assioma di Pasch
14 572
6French (fr)
Axiome de Pasch
13 061
7Azerbaijani (az)
Tusi-Paş aksiomu
12 208
8Spanish (es)
Axioma de Pasch
9 348
9Portuguese (pt)
Axioma de Pasch
7 034
10Greek (el)
Αξίωμα του Πας
5 043
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Axiom von Pasch" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Pasch's axiom
924
2Russian (ru)
Аксиома Паша
138
3Italian (it)
Assioma di Pasch
74
4Azerbaijani (az)
Tusi-Paş aksiomu
54
5Polish (pl)
Aksjomat Pascha
54
6German (de)
Axiom von Pasch
42
7French (fr)
Axiome de Pasch
36
8Portuguese (pt)
Axioma de Pasch
20
9Spanish (es)
Axioma de Pasch
18
10Greek (el)
Αξίωμα του Πας
9
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Axiom von Pasch" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1German (de)
Axiom von Pasch
31
2Italian (it)
Assioma di Pasch
29
3English (en)
Pasch's axiom
26
4Russian (ru)
Аксиома Паша
18
5Polish (pl)
Aksjomat Pascha
15
6French (fr)
Axiome de Pasch
14
7Azerbaijani (az)
Tusi-Paş aksiomu
11
8Greek (el)
Αξίωμα του Πας
11
9Hungarian (hu)
Pasch-axióma
10
10Dutch (nl)
Axioma van Pasch
9
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Axiom von Pasch" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Azerbaijani (az)
Tusi-Paş aksiomu
0
2Catalan (ca)
Axioma de Pasch
0
3German (de)
Axiom von Pasch
0
4Greek (el)
Αξίωμα του Πας
0
5English (en)
Pasch's axiom
0
6Spanish (es)
Axioma de Pasch
0
7French (fr)
Axiome de Pasch
0
8Galician (gl)
Axioma de Pasch
0
9Hungarian (hu)
Pasch-axióma
0
10Italian (it)
Assioma di Pasch
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Axiom von Pasch" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Pasch's axiom
23
2German (de)
Axiom von Pasch
9
3Polish (pl)
Aksjomat Pascha
9
4Portuguese (pt)
Axioma de Pasch
8
5French (fr)
Axiome de Pasch
7
6Russian (ru)
Аксиома Паша
6
7Italian (it)
Assioma di Pasch
5
8Greek (el)
Αξίωμα του Πας
4
9Spanish (es)
Axioma de Pasch
4
10Hungarian (hu)
Pasch-axióma
4
More...

Scores

Estimated value for Wikipedia:
German:
Global:
Popularity in June 2025:
German:
Global:
Popularity in all years:
German:
Global:
Authors in June 2025:
German:
Global:
Registered authors in all years:
German:
Global:
Citations:
German:
Global:

Quality measures

Interwikis

#LanguageValue
azAzerbaijani
Tusi-Paş aksiomu
caCatalan
Axioma de Pasch
deGerman
Axiom von Pasch
elGreek
Αξίωμα του Πας
enEnglish
Pasch's axiom
esSpanish
Axioma de Pasch
frFrench
Axiome de Pasch
glGalician
Axioma de Pasch
huHungarian
Pasch-axióma
itItalian
Assioma di Pasch
nlDutch
Axioma van Pasch
plPolish
Aksjomat Pascha
ptPortuguese
Axioma de Pasch
ruRussian
Аксиома Паша
ukUkrainian
Аксіома Паша

Popularity rank trends

Best Rank German:
#181468
12.2008
Global:
#325718
11.2013

AI rank trends

Best Rank German:
#8113
04.2005
Global:
#35797
11.2011

Local AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Pasch's axiom from Wikipedia articles about Elements, Paschs theorem, Hilberts axioms, Menelaus theorem and Tarskis axioms. Whereas reading the article about Pasch's axiom people most often go to Wikipedia articles on Moritz Pasch, Paschs theorem, Absolute geometry, Hilberts axioms and Euclidean geometry.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 16 March 2026

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In German Wikipedia the most popular articles on that day were: Oscarverleihung 2026, One Battle After Another, Blood & Sinners, Michael B. Jordan, Jessie Buckley, Jürgen Habermas, Sean Penn, Banksy, Liste der größten Auslegerbrücken, Amy Madigan.

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information