Dissection-like proofs of the law of cosines

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dc.contributor.author Thackeray, Henry (Maya) Robert
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


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