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关于二次曲线的两种定义的注记
Notes to the Two Kinds of Definitions of Quadratic Curve
【摘要】 对于二次曲线,射影几何学有两种定义方式--代数式定义和射影式定义,本文旨在纠正某些文献在利用二 次曲线的定义讨论二次曲线性质时,所出现的逻辑错误,并给出两种定义等价性的一个简洁证明。
【Abstract】 In projective geometry, two kinds of definitions are drewen to quadratic curve--the algebraic defi-nition and the projective definition. This paper aims to correct some logical mistakes made in some document while the definitions are used to disscuss the properties of quadratic curves and further attempts to give the proof of the equivalence for two definitions.
【关键词】 二次曲线;
射影对应;
射影线束;
【Key words】 <Keyword>quadratic curve; projective correspondence; projective pencils of lines;
【Key words】 <Keyword>quadratic curve; projective correspondence; projective pencils of lines;
- 【文献出处】 宿州师专学报 ,Journal of Suzhou Tenchers College , 编辑部邮箱 ,2004年02期
- 【分类号】O182
- 【被引频次】1
- 【下载频次】89