Japanse stelling

Japanese theorem for cyclic polygons - theorem that no matter how one triangulates a cyclic polygon, the sum of inradii of triangles is constant. Article “Japanse stelling” in Dutch Wikipedia has 2.7 points for quality (as of July 1, 2025).

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

Since the creation of article “Japanse stelling”, its content was written by 14 registered users of Dutch Wikipedia and edited by 133 registered Wikipedia users in all languages.

The article is cited 3 times in Dutch Wikipedia and cited 79 times in all languages.

The highest Authors Interest rank from 2001:

• Local (Dutch): #29285 in November 2017
• Global: #65230 in December 2015

The highest popularity rank from 2008:

• Local (Dutch): #138862 in March 2008
• Global: #378534 in December 2008

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.

#	Language	Quality grade	Quality score
1	Turkish (tr) Kirişler çokgenleri için Japon teoremi		25.3863
2	Greek (el) Ιαπωνικό θεώρημα		25.2391
3	Japanese (ja) 日本の定理		25.0356
4	Arabic (ar) مبرهنة يابانية في مضلع دائري		23.0507
5	English (en) Japanese theorem for cyclic polygons		20.6522
6	French (fr) Théorème japonais		18.69
7	Catalan (ca) Teorema japonès per a polígons cíclics		18.2797
8	Spanish (es) Teorema japonés para polígonos cíclicos		15.5159
9	Hebrew (he) המשפט היפני למצולעים ציקליים		9.2717
10	Polish (pl) Twierdzenie japońskie		6.3008

More...

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

The most popular language versions of the article "Japanse stelling" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Japanese theorem for cyclic polygons		84 745
2	Japanese (ja) 日本の定理		14 054
3	Korean (ko) 일본인의 정리		13 539
4	German (de) Japanischer Satz für in einen Kreis einbeschriebene Polygone		12 384
5	French (fr) Théorème japonais		12 263
6	Polish (pl) Twierdzenie japońskie		7 873
7	Dutch (nl) Japanse stelling		5 716
8	Arabic (ar) مبرهنة يابانية في مضلع دائري		5 047
9	Ukrainian (uk) Японська теорема про вписані в коло многокутники		3 771
10	Spanish (es) Teorema japonés para polígonos cíclicos		851

More...

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

The most popular language versions of the article "Japanse stelling" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Japanese theorem for cyclic polygons		553
2	Japanese (ja) 日本の定理		148
3	Korean (ko) 일본인의 정리		37
4	French (fr) Théorème japonais		30
5	German (de) Japanischer Satz für in einen Kreis einbeschriebene Polygone		19
6	Dutch (nl) Japanse stelling		14
7	Hebrew (he) המשפט היפני למצולעים ציקליים		13
8	Polish (pl) Twierdzenie japońskie		13
9	Spanish (es) Teorema japonés para polígonos cíclicos		9
10	Arabic (ar) مبرهنة يابانية في مضلع دائري		7

More...

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

Language versions of the article "Japanse stelling" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Japanese theorem for cyclic polygons		31
2	French (fr) Théorème japonais		24
3	German (de) Japanischer Satz für in einen Kreis einbeschriebene Polygone		17
4	Dutch (nl) Japanse stelling		14
5	Polish (pl) Twierdzenie japońskie		10
6	Ukrainian (uk) Японська теорема про вписані в коло многокутники		7
7	Japanese (ja) 日本の定理		6
8	Korean (ko) 일본인의 정리		6
9	Arabic (ar) مبرهنة يابانية في مضلع دائري		5
10	Catalan (ca) Teorema japonès per a polígons cíclics		3

More...

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

Language versions of the article "Japanse stelling" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	Arabic (ar) مبرهنة يابانية في مضلع دائري		0
2	Catalan (ca) Teorema japonès per a polígons cíclics		0
3	German (de) Japanischer Satz für in einen Kreis einbeschriebene Polygone		0
4	Greek (el) Ιαπωνικό θεώρημα		0
5	English (en) Japanese theorem for cyclic polygons		0
6	Spanish (es) Teorema japonés para polígonos cíclicos		0
7	French (fr) Théorème japonais		0
8	Hebrew (he) המשפט היפני למצולעים ציקליים		0
9	Japanese (ja) 日本の定理		0
10	Korean (ko) 일본인의 정리		0

More...

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

Language versions of the article "Japanse stelling" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	Greek (el) Ιαπωνικό θεώρημα		29
2	English (en) Japanese theorem for cyclic polygons		11
3	Japanese (ja) 日本の定理		7
4	Arabic (ar) مبرهنة يابانية في مضلع دائري		5
5	German (de) Japanischer Satz für in einen Kreis einbeschriebene Polygone		5
6	French (fr) Théorème japonais		5
7	Ukrainian (uk) Японська теорема про вписані в коло многокутники		5
8	Korean (ko) 일본인의 정리		4
9	Dutch (nl) Japanse stelling		3
10	Spanish (es) Teorema japonés para polígonos cíclicos		2

More...

#	Language	Value
ar	Arabic مبرهنة يابانية في مضلع دائري
ca	Catalan Teorema japonès per a polígons cíclics
de	German Japanischer Satz für in einen Kreis einbeschriebene Polygone
el	Greek Ιαπωνικό θεώρημα
en	English Japanese theorem for cyclic polygons
es	Spanish Teorema japonés para polígonos cíclicos
fr	French Théorème japonais
he	Hebrew המשפט היפני למצולעים ציקליים
ja	Japanese 日本の定理
ko	Korean 일본인의 정리
nl	Dutch Japanse stelling
pl	Polish Twierdzenie japońskie
tr	Turkish Kirişler çokgenleri için Japon teoremi
uk	Ukrainian Японська теорема про вписані в коло многокутники

Best Rank

Dutch: #138862 03.2008

Global: #378534 12.2008

Best Rank

Dutch: #29285 11.2017

Global: #65230 12.2015

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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