Crux’s crux’s crux

Sasane, Amol ORCID: 0000-0001-5566-9877 (2022) Crux’s crux’s crux. Mathematics Magazine, 95 (5). 458 - 464. ISSN 0025-570X

Text (Crux’s crux’s crux) - Accepted Version Download (102kB)

• Author

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:	© 2022 Mathematical Association of America.
Divisions:	Mathematics
Subjects:	Q Science > QA Mathematics
Date Deposited:	15 Sep 2020 08:48
Last Modified:	25 Oct 2024 21:42
URI:	http://eprints.lse.ac.uk/id/eprint/106558

Actions (login required)

View Item