余弦定律的类解剖证明

Q4 Mathematics
H. R. Thackeray
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引用次数: 0

摘要

摘要受勾股定理论证的启发,本文给出了余弦定律的六个相互关联的类似解剖的证明。每个证明都将锐角和钝角的情况放在一起处理,并使用三角双角公式。一些证明假定了勾股定理。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Dissection-Like Proofs of the Law of Cosines
Summary 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.
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来源期刊
Mathematics Magazine
Mathematics Magazine Mathematics-Mathematics (all)
CiteScore
0.20
自引率
0.00%
发文量
68
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