中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
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
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

浏览0
下载0
收藏0
其他版本

除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。