Brocard Con guration in q-period Loop Broken Line

Jianxiang Tan Affiliated Middle School of South China Normal University Zhiyuan Zhang Affiliated Middle School of South China Normal University

S.-T. Yau High School Science Awarded Papers mathscidoc:1702.35015

2016
In this paper we study the generalization of the Brocard con gurations. The de nition of q-period broken line is given and then the new necessary and sucient condition about the existence of two conjugate Brocard points of the qô€€€period loop broken line is investigated. Based on the past research, a geometric method for the construction of all possible loop broken lines with conjugate Brocard points is developed.
Brocard con gurations, Loop broken line, Inversion
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@inproceedings{jianxiang2016brocard,
  title={Brocard Conguration in q-period Loop Broken Line},
  author={Jianxiang Tan, and Zhiyuan Zhang},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170227160846961661535},
  year={2016},
}
Jianxiang Tan, and Zhiyuan Zhang. Brocard Con guration in q-period Loop Broken Line. 2016. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170227160846961661535.
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