Sasane, Amol (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) |
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: | © 2022 Mathematical Association of America. |
Divisions: | Mathematics |
Subjects: | Q Science > QA Mathematics |
Date Deposited: | 15 Sep 2020 08:48 |
Last Modified: | 02 Aug 2024 17:27 |
URI: | http://eprints.lse.ac.uk/id/eprint/106558 |
Actions (login required)
![]() |
View Item |