On geometric construction of some means on the ellipse.

Saved in:
Bibliographic Details
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
Description
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]
ISSN:0025570X
DOI:10.1080/0025570X.2026.2625666