Dissection-like proofs of the law of cosines

Thackeray, Henry R.

dc.contributor.author	Thackeray, Henry R.
dc.date.accessioned	2023-04-21T04:55:29Z
dc.date.issued	2023
dc.description.abstract	Inspired by arguments illustrating the Pythagorean theorem, this paper gives six interrelated dissection-like proofs of the law of cosines. Each proof treats the acute- and obtuse-angle cases together, and uses a trigonometric double-angle formula. Some of the proofs assume the Pythagorean theorem.	en_US
dc.description.department	Mathematics and Applied Mathematics	en_US
dc.description.embargo	2024-02-14
dc.description.librarian	hj2023	en_US
dc.description.sponsorship	The University of Pretoria’s UP Post-Doctoral Fellowship Programme.	en_US
dc.description.uri	http://www.tandfonline.com/loi/umma20	en_US
dc.identifier.citation	Thackeray, H.R. 2022, 'Dissection-like proofs of the law of cosines', Mathematics Magazine, vol. 96, no. 2, pp. 120-129, https://doi.org/10.1080/0025570X.2023.2167407.	en_US
dc.identifier.issn	0025-570X (print)
dc.identifier.issn	1930-0980 (online)
dc.identifier.other	10.1080/0025570X.2023.2167407
dc.identifier.uri	http://hdl.handle.net/2263/90412
dc.language.iso	en	en_US
dc.publisher	Taylor and Francis	en_US
dc.rights	© 2023 Mathematical Association of America. This is an electronic version of an article published in Mathematics Magazine, vol. 96, no. 2, pp. 120-129, 2023, https://doi.org/10.1080/0025570X.2023.2167407. Mathematics Magazine is available online at: http://www.tandfonline.com/loi/umma20.	en_US
dc.subject	Dissection-like proofs	en_US
dc.subject	Law of cosines	en_US
dc.subject	Pythagorean theorem	en_US
dc.title	Dissection-like proofs of the law of cosines	en_US
dc.type	Postprint Article	en_US