モンジュの定理

ja

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モンジュの定理

Quality:

Monge's theorem - theorem that the intersections of the 3 pairs of external tangent lines to 3 circles are collinear. Article “モンジュの定理” in Japanese Wikipedia has 11.9 points for quality (as of July 1, 2025). The article contains 3 references and 5 sections.

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

Since the creation of article “モンジュの定理”, its content was written by 3 registered users of Japanese Wikipedia and edited by 110 registered Wikipedia users in all languages.

The article is cited 2 times in Japanese Wikipedia and cited 115 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Japanese): #33044 in May 2024
  • Global: #137616 in November 2012

The highest popularity rank from 2008:

  • Local (Japanese): #537966 in May 2024
  • Global: #127185 in July 2018

There are 14 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
1Polish (pl)
Twierdzenie Monge’a
32.98
2German (de)
Satz von Monge (Elementargeometrie)
30.3059
3Arabic (ar)
مبرهنة مونج
21.2292
4French (fr)
Théorème de Monge (géométrie élémentaire)
20.5616
5Portuguese (pt)
Teorema de Monge
20.113
6English (en)
Monge's theorem
14.7962
7Japanese (ja)
モンジュの定理
11.8504
8Russian (ru)
Теорема Монжа
11.5513
9Spanish (es)
Teorema de Monge
9.6608
10Korean (ko)
몽주 정리
9.5686
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 "モンジュの定理" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Monge's theorem
110 547
2Russian (ru)
Теорема Монжа
58 840
3Portuguese (pt)
Teorema de Monge
11 772
4Polish (pl)
Twierdzenie Monge’a
9 335
5Spanish (es)
Teorema de Monge
6 627
6Korean (ko)
몽주 정리
5 768
7Ukrainian (uk)
Теорема Монже
4 933
8French (fr)
Théorème de Monge (géométrie élémentaire)
4 278
9Vietnamese (vi)
Định lý Monge
3 288
10Finnish (fi)
Mongen lause
2 911
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 "モンジュの定理" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Monge's theorem
1 176
2Russian (ru)
Теорема Монжа
179
3Korean (ko)
몽주 정리
93
4French (fr)
Théorème de Monge (géométrie élémentaire)
80
5Polish (pl)
Twierdzenie Monge’a
78
6Japanese (ja)
モンジュの定理
67
7Portuguese (pt)
Teorema de Monge
54
8Spanish (es)
Teorema de Monge
53
9Vietnamese (vi)
Định lý Monge
31
10German (de)
Satz von Monge (Elementargeometrie)
23
More...

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

The highest AI

Language versions of the article "モンジュの定理" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Monge's theorem
28
2Polish (pl)
Twierdzenie Monge’a
17
3German (de)
Satz von Monge (Elementargeometrie)
12
4Russian (ru)
Теорема Монжа
11
5Finnish (fi)
Mongen lause
7
6Portuguese (pt)
Teorema de Monge
7
7Ukrainian (uk)
Теорема Монже
7
8Korean (ko)
몽주 정리
6
9French (fr)
Théorème de Monge (géométrie élémentaire)
5
10Japanese (ja)
モンジュの定理
3
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 "モンジュの定理" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Korean (ko)
몽주 정리
1
2Arabic (ar)
مبرهنة مونج
0
3German (de)
Satz von Monge (Elementargeometrie)
0
4English (en)
Monge's theorem
0
5Spanish (es)
Teorema de Monge
0
6Finnish (fi)
Mongen lause
0
7French (fr)
Théorème de Monge (géométrie élémentaire)
0
8Armenian (hy)
Մոնժի թեորեմ
0
9Japanese (ja)
モンジュの定理
0
10Polish (pl)
Twierdzenie Monge’a
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 "モンジュの定理" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Polish (pl)
Twierdzenie Monge’a
61
2English (en)
Monge's theorem
13
3Russian (ru)
Теорема Монжа
8
4Portuguese (pt)
Teorema de Monge
7
5French (fr)
Théorème de Monge (géométrie élémentaire)
6
6Arabic (ar)
مبرهنة مونج
5
7German (de)
Satz von Monge (Elementargeometrie)
4
8Spanish (es)
Teorema de Monge
3
9Ukrainian (uk)
Теорема Монже
3
10Japanese (ja)
モンジュの定理
2
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
arArabic
مبرهنة مونج
deGerman
Satz von Monge (Elementargeometrie)
enEnglish
Monge's theorem
esSpanish
Teorema de Monge
fiFinnish
Mongen lause
frFrench
Théorème de Monge (géométrie élémentaire)
hyArmenian
Մոնժի թեորեմ
jaJapanese
モンジュの定理
koKorean
몽주 정리
plPolish
Twierdzenie Monge’a
ptPortuguese
Teorema de Monge
ruRussian
Теорема Монжа
ukUkrainian
Теорема Монже
viVietnamese
Định lý Monge

Popularity rank trends

Best Rank Japanese:
#537966
05.2024
Global:
#127185
07.2018

AI rank trends

Best Rank Japanese:
#33044
05.2024
Global:
#137616
11.2012

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Monge's theorem from Wikipedia articles about Gaspard Monge, Tangent lines to circles, Desargues theorem, Homothetic transformation and Wikipedia article. Whereas reading the article about Monge's theorem people most often go to Wikipedia articles on Desargues theorem, Gaspard Monge, Menelaus theorem, Homothetic center and Problem of Apollonius.

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 Japanese Wikipedia the most popular articles on that day were: 小泉八雲, 同志社国際中学校・高等学校, 若嶋津六夫, 伊藤大海 (野球), 高橋成美, 井端弘和, 太田裕二, ワールド・ベースボール・クラシック, 高田みづえ, 尾崎将司.

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