Maximaleigenschaft

English translation: Maximum area property

GLOSSARY ENTRY (DERIVED FROM QUESTION BELOW)
German term or phrase:Maximaleigenschaft
English translation:Maximum area property
Entered by: Vissertrans

01:20 Feb 12, 2017
German to English translations [PRO]
Science - Mathematics & Statistics
German term or phrase: Maximaleigenschaft
Damit ist die Maximaleigenschaft des Sehnenpolygons, vielmehr des regulären 2m-Ecks, noch nicht bewiesen.

https://books.google.com.br/books?id=Nug1AAAAIAAJ&q="Maximal...
Alexandre Reis
Brazil
Local time: 13:30
Maximum area property
Explanation:
A 'Sehne' is chord of a circle. Thus a 'Sehnenpolygon' is a cyclic polygon, whose vertices all lie on a circle and whose sides are chords of the circle. The 'Maximaleigenschaft' refers to maximizing the area of the polygon, which is only true if the polygon is regular, i.e. all the sides are of the same length. It's true that 'Maximum area property' is a somewhat literal translation. Googling it doesn't give a huge number of hits. I would tend to paraphrase the sentence, for example:
"This does not yet prove that the cyclic polygon, or rather the regular 2m-sided polygon, has a maximum area."
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Vissertrans
France
Local time: 17:30
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Selected automatically based on peer agreement.
4 KudoZ points were awarded for this answer



Summary of answers provided
4 +2Maximum area property
Vissertrans
4maximality, maximal property
Cilian O'Tuama
3 -1Maximal quality/value
Demna Alfred Janelidze


Discussion entries: 2





  

Answers


11 hrs   confidence: Answerer confidence 3/5Answerer confidence 3/5 peer agreement (net): -1
Maximal quality/value


Explanation:
Maximal + Eigenschaft would mean maximal amount/value a certain variable can take.
I am by no means an expert of math, so that is just an educated guess.

Demna Alfred Janelidze
Sweden
Local time: 17:30
Native speaker of: Native in GeorgianGeorgian, Native in EnglishEnglish

Peer comments on this answer (and responses from the answerer)
disagree  Kim Metzger: More like an uneducated (in math) word-for-word stab in the dark.
23 mins
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14 hrs   confidence: Answerer confidence 4/5Answerer confidence 4/5 peer agreement (net): +2
Maximum area property


Explanation:
A 'Sehne' is chord of a circle. Thus a 'Sehnenpolygon' is a cyclic polygon, whose vertices all lie on a circle and whose sides are chords of the circle. The 'Maximaleigenschaft' refers to maximizing the area of the polygon, which is only true if the polygon is regular, i.e. all the sides are of the same length. It's true that 'Maximum area property' is a somewhat literal translation. Googling it doesn't give a huge number of hits. I would tend to paraphrase the sentence, for example:
"This does not yet prove that the cyclic polygon, or rather the regular 2m-sided polygon, has a maximum area."

Example sentence(s):
  • Unter allen n-Ecken, die einem Kreis einbeschrieben sind, hat das regelmäßige den größten Flächeninhalt.
  • But the maximal-area polygon of given order inscribed in a circle of given size is in fact regular.

    Reference: http://www.mathematische-basteleien.de/vieleck.htm
    Reference: http://math.stackexchange.com/questions/868026/given-a-polyg...
Vissertrans
France
Local time: 17:30
Native speaker of: English
PRO pts in category: 4
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Selected automatically based on peer agreement.

Peer comments on this answer (and responses from the answerer)
agree  Mair A-W (PhD)
17 hrs

agree  Cilian O'Tuama: That's the idea
1 day 9 hrs
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1 day 15 hrs   confidence: Answerer confidence 4/5Answerer confidence 4/5
maximality, maximal property


Explanation:
given by Langenscheidt Fach-WöBu Mathe for
Maximalität, Maximaleigenschaft

Cilian O'Tuama
Germany
Local time: 17:30
Specializes in field
Native speaker of: English
PRO pts in category: 51
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