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On geometric construction of some means on the ellipse.

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Title: On geometric construction of some means on the ellipse.
Authors: Spíchal, Luděk1 (AUTHOR) spichal@clatrutnov.cz
Source: Mathematics Magazine. Apr2026, Vol. 99 Issue 2, p134-139. 6p.
Subject Terms: Geometrical constructions, Ellipses (Geometry), Arithmetic mean
Abstract: Summary: The Pythagorean means are usually constructed in a circle. The paper shows an interesting connection between the so-called Greek means, which can be understood as the extension of the Pythagorean means, and the ellipse. [ABSTRACT FROM AUTHOR]
Copyright of Mathematics Magazine is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Education Research Complete
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Header DbId: ehh
DbLabel: Education Research Complete
An: 193710551
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
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  Data: On geometric construction of some means on the ellipse.
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  Data: <searchLink fieldCode="JN" term="%22Mathematics+Magazine%22">Mathematics Magazine</searchLink>. Apr2026, Vol. 99 Issue 2, p134-139. 6p.
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  Data: <searchLink fieldCode="DE" term="%22Geometrical+constructions%22">Geometrical constructions</searchLink><br /><searchLink fieldCode="DE" term="%22Ellipses+%28Geometry%29%22">Ellipses (Geometry)</searchLink><br /><searchLink fieldCode="DE" term="%22Arithmetic+mean%22">Arithmetic mean</searchLink>
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  Data: Summary: The Pythagorean means are usually constructed in a circle. The paper shows an interesting connection between the so-called Greek means, which can be understood as the extension of the Pythagorean means, and the ellipse. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Group: Ab
  Data: <i>Copyright of Mathematics Magazine is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1080/0025570X.2026.2625666
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      – Code: eng
        Text: English
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        PageCount: 6
        StartPage: 134
    Subjects:
      – SubjectFull: Geometrical constructions
        Type: general
      – SubjectFull: Ellipses (Geometry)
        Type: general
      – SubjectFull: Arithmetic mean
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      – TitleFull: On geometric construction of some means on the ellipse.
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              M: 04
              Text: Apr2026
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              Y: 2026
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