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