Envelope (mathematics)

Envelope - family of curves in geometry. Article "Envelope (mathematics)" in English Wikipedia has 48.4 points for quality (as of July 1, 2025). The article contains 7 references and 18 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that language version.

In June 2025 the article "Envelope (mathematics)" was edited by 1 authors in English Wikipedia and written by 2 authors in all languages.

Since the creation of article "Envelope (mathematics)", its content was written by 72 registered users of English Wikipedia and edited by 291 registered Wikipedia users in all languages.

The article is cited 75 times in English Wikipedia and cited 438 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #14566 in August 2004
• Global: #23864 in February 2012

The highest popularity rank from 2008:

• Local (English): #208284 in November 2010
• Global: #156630 in October 2014

There are 22 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	English (en) Envelope (mathematics)		48.3783
2	Spanish (es) Envolvente (matemáticas)		33.749
3	Tamil (ta) சூழ்வு (கணிதம்)		31.2071
4	Norwegian (no) Omhyllingskurve		29.5866
5	Korean (ko) 포락선		26.1963
6	Ukrainian (uk) Обгортка (геометрія)		23.5438
7	German (de) Einhüllende		21.9603
8	Polish (pl) Obwiednia		21.1323
9	Greek (el) Περιβάλλουσα		21.0421
10	Slovenian (sl) Ovojnica (matematika)		20.5685

More...

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

The most popular language versions of the article "Envelope (mathematics)" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Envelope (mathematics)		557 492
2	Japanese (ja) 包絡線		339 191
3	German (de) Einhüllende		178 520
4	Chinese (zh) 包絡線		147 120
5	Italian (it) Inviluppo (matematica)		115 421
6	Polish (pl) Obwiednia		102 292
7	Russian (ru) Огибающая		68 961
8	Spanish (es) Envolvente (matemáticas)		59 883
9	Korean (ko) 포락선		55 356
10	French (fr) Enveloppe (géométrie)		54 288

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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 "Envelope (mathematics)" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Envelope (mathematics)		1 975
2	Japanese (ja) 包絡線		813
3	Chinese (zh) 包絡線		618
4	German (de) Einhüllende		349
5	Spanish (es) Envolvente (matemáticas)		311
6	Korean (ko) 포락선		292
7	Russian (ru) Огибающая		211
8	Polish (pl) Obwiednia		151
9	Italian (it) Inviluppo (matematica)		141
10	French (fr) Enveloppe (géométrie)		139

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

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

#	Language	AI award	Relative AI
1	English (en) Envelope (mathematics)		72
2	German (de) Einhüllende		36
3	French (fr) Enveloppe (géométrie)		28
4	Japanese (ja) 包絡線		21
5	Italian (it) Inviluppo (matematica)		20
6	Dutch (nl) Omhullende (meetkunde)		17
7	Russian (ru) Огибающая		17
8	Polish (pl) Obwiednia		13
9	Hebrew (he) מעטפת (מתמטיקה)		12
10	Chinese (zh) 包絡線		9

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

Language versions of the article "Envelope (mathematics)" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	English (en) Envelope (mathematics)		1
2	Italian (it) Inviluppo (matematica)		1
3	Danish (da) Indhylningskurve		0
4	German (de) Einhüllende		0
5	Greek (el) Περιβάλλουσα		0
6	Spanish (es) Envolvente (matemáticas)		0
7	Persian (fa) منحنی محاطی		0
8	French (fr) Enveloppe (géométrie)		0
9	Hebrew (he) מעטפת (מתמטיקה)		0
10	Japanese (ja) 包絡線		0

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

Language versions of the article "Envelope (mathematics)" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Envelope (mathematics)		75
2	German (de) Einhüllende		58
3	French (fr) Enveloppe (géométrie)		50
4	Japanese (ja) 包絡線		44
5	Spanish (es) Envolvente (matemáticas)		28
6	Chinese (zh) 包絡線		28
7	Russian (ru) Огибающая		27
8	Persian (fa) منحنی محاطی		16
9	Italian (it) Inviluppo (matematica)		15
10	Dutch (nl) Omhullende (meetkunde)		15

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#	Language	Value
da	Danish Indhylningskurve
de	German Einhüllende
el	Greek Περιβάλλουσα
en	English Envelope (mathematics)
es	Spanish Envolvente (matemáticas)
fa	Persian منحنی محاطی
fr	French Enveloppe (géométrie)
he	Hebrew מעטפת (מתמטיקה)
it	Italian Inviluppo (matematica)
ja	Japanese 包絡線
ko	Korean 포락선
lt	Lithuanian Kontūras (matematika)
nl	Dutch Omhullende (meetkunde)
nn	Norwegian (Nynorsk) Enveloppe
no	Norwegian Omhyllingskurve
pl	Polish Obwiednia
ru	Russian Огибающая
sl	Slovenian Ovojnica (matematika)
sv	Swedish Envelopp
ta	Tamil சூழ்வு (கணிதம்)
uk	Ukrainian Обгортка (геометрія)
zh	Chinese 包絡線

Best Rank

English: #208284 11.2010

Global: #156630 10.2014

Best Rank

English: #14566 08.2004

Global: #23864 02.2012

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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