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Crux’s crux’s crux

Sasane, Amol (2020) Crux’s crux’s crux. Mathematics Magazine. ISSN 0025-570X

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Identification Number: 10.1080/0025570X.2022.2126264

Abstract

Summary: A result of Archimedes states that for perpendicular chords passing through a point P in the interior of the unit circle, the sum of the squares of the lengths of the chord segments from P to the circle is equal to 4. A generalization of this result to (Formula presented.) chords is given. This is done in the backdrop of revisiting Problem 1325 from Crux Mathematicorum, for which a new solution is presented.

Item Type: Article
Official URL: https://www.tandfonline.com/journals/umma20
Additional Information: Publisher Copyright: © 2022 Mathematical Association of America.
Divisions: Mathematics
Subjects: Q Science > QA Mathematics
Date Deposited: 15 Sep 2020 08:48
Last Modified: 10 Nov 2022 16:18
URI: http://eprints.lse.ac.uk/id/eprint/106558

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