On Miquel's five-circle theorem
文献类型:期刊论文
作者 | Li, HB; Xu, RH; Zhang, N |
刊名 | COMPUTER ALGEBRA AND GEOMETRIC ALGEBRA WITH APPLICATIONS
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出版日期 | 2005 |
卷号 | 3519页码:217-228 |
关键词 | Miquel's theorem mathematics mechanization conformal geometric algebra null bracket algebra "breefs" |
ISSN号 | 0302-9743 |
英文摘要 | Miquel's Five-Circle Theorem is difficult to prove algebraically. In this paper, the details of the first algebraic proof of this theorem is provided. The proof is based on conformal geometric algebra and its accompanying invariant algebra called null bracket algebra, and is the outcome of the powerful computational techniques of null bracket algebra embodying the novel idea breefs. |
WOS研究方向 | Computer Science ; Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000230362900018 |
出版者 | SPRINGER-VERLAG BERLIN |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2147] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Li, HB |
作者单位 | Chinese Acad Sci, Math Mechanizat Key Lab, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Li, HB,Xu, RH,Zhang, N. On Miquel's five-circle theorem[J]. COMPUTER ALGEBRA AND GEOMETRIC ALGEBRA WITH APPLICATIONS,2005,3519:217-228. |
APA | Li, HB,Xu, RH,&Zhang, N.(2005).On Miquel's five-circle theorem.COMPUTER ALGEBRA AND GEOMETRIC ALGEBRA WITH APPLICATIONS,3519,217-228. |
MLA | Li, HB,et al."On Miquel's five-circle theorem".COMPUTER ALGEBRA AND GEOMETRIC ALGEBRA WITH APPLICATIONS 3519(2005):217-228. |
入库方式: OAI收割
来源:数学与系统科学研究院
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