Dissection-like proofs of the law of cosines

dc.contributor.authorThackeray, Henry (Maya) Robert
dc.contributor.emailmaya.thackeray@up.ac.zaen_US
dc.date.accessioned2023-04-21T04:55:29Z
dc.date.issued2023
dc.description.abstractInspired 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.departmentMathematics and Applied Mathematicsen_US
dc.description.embargo2024-02-14
dc.description.librarianhj2023en_US
dc.description.sponsorshipThe University of Pretoria’s UP Post-Doctoral Fellowship Programme.en_US
dc.description.urihttp://www.tandfonline.com/loi/umma20en_US
dc.identifier.citationThackeray, 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.issn0025-570X (print)
dc.identifier.issn1930-0980 (online)
dc.identifier.other10.1080/0025570X.2023.2167407
dc.identifier.urihttp://hdl.handle.net/2263/90412
dc.language.isoenen_US
dc.publisherTaylor and Francisen_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.subjectDissection-like proofsen_US
dc.subjectLaw of cosinesen_US
dc.subjectPythagorean theoremen_US
dc.titleDissection-like proofs of the law of cosinesen_US
dc.typePostprint Articleen_US

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