期刊论文详细信息
Mathematica Slovaca | |
Napoleon’s quasigroups | |
Vedran Krčadinac1  | |
关键词: medial quasigroup; Napoleon’s theorem; | |
DOI : 10.2478/s12175-011-0055-9 | |
学科分类:数学(综合) | |
来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute | |
【 摘 要 】
Napoleon’s quasigroups are idempotent medial quasigroups satisfying the identity (ab·b)(b·ba) = b. In works by V. Volenec geometric terminology has been introduced in medial quasigroups, enabling proofs of many theorems of plane geometry to be carried out by formal calculations in a quasigroup. This class of quasigroups is particularly suited for proving Napoleon’s theorem and other similar theorems about equilateral triangles and centroids.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201912080690883ZK.pdf | 185KB | download |