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蝴蝶定理的射影证明及其推广
引用本文:邵金声.蝴蝶定理的射影证明及其推广[J].淮北煤炭师范学院学报(自然科学版),1993(4).
作者姓名:邵金声
作者单位:淮北煤师院数学系
摘    要:本文利用二次曲线内接完全四点形的调和性质,射影地证明了蝴蝶定理,并将定理推广到一般二次曲线(常态及变态)上.

关 键 词:完全四点形  极线  调和比

A proof and its gcneralication of the Butterfly Theorem
Shao Jinsheng.A proof and its gcneralication of the Butterfly Theorem[J].Journal of Huaibei Coal Industry Teachers College(Natural Science edition),1993(4).
Authors:Shao Jinsheng
Institution:Department of Mathematics
Abstract:This paper projectively proves the Butterfly Theorem by the harmonic property of a complete quadrangle inscribed in a quadratic curve and extends the theorem onto common quadratic curves (Both in normality and in abnormality)
Keywords:complete quadrangle  polarline  harmonic ratio  
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