无穷远元素及其应用.doc
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无穷远元素及其应用,原创摘要:利用无穷远元素研究关于三点共线,三线共点,调和分割,动直线过定点,二次曲线类型等问题,最后讨论射影几何的某些观点对初等几何的指导作用,揭示射影几何与初等几何解析几何的内在联系.关键词:无穷元素,三点共线,三线共点,调和分割,二次曲线,中心射影. 对射影几何的基本概念,中心射影和无穷元素,我们...
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无穷远元素及其应用
原创
摘要:利用无穷远元素研究关于三点共线,三线共点,调和分割,动直线过定点,二次曲线类型等问题,最后讨论射影几何的某些观点对初等几何的指导作用,揭示射影几何与初等几何解析几何的内在联系.
关键词:无穷元素,三点共线,三线共点,调和分割,二次曲线,中心射影.
对射影几何的基本概念,中心射影和无穷元素,我们都和熟悉,但却很少选用它们来证明
几何命题.而本文主要利用中心射影和无穷远元素来证明三点共线,三线共点等几何问题. Infinity elements and Application
Wang youkui
Abstract: Infinity use elements of the study were three-point line, a total of three point line, to reconcile divided, and move straight over a fixed point, quadratic type, the final discussion projective geometry of some of the views of elementary geometry guide, projective geometry reveals elementary geometry and analytic geometry are intrinsically linked.
Key words:Infinite elements,Line a total of three points, Reconcile divided,Conics, Projective center
原创
摘要:利用无穷远元素研究关于三点共线,三线共点,调和分割,动直线过定点,二次曲线类型等问题,最后讨论射影几何的某些观点对初等几何的指导作用,揭示射影几何与初等几何解析几何的内在联系.
关键词:无穷元素,三点共线,三线共点,调和分割,二次曲线,中心射影.
对射影几何的基本概念,中心射影和无穷元素,我们都和熟悉,但却很少选用它们来证明
几何命题.而本文主要利用中心射影和无穷远元素来证明三点共线,三线共点等几何问题. Infinity elements and Application
Wang youkui
Abstract: Infinity use elements of the study were three-point line, a total of three point line, to reconcile divided, and move straight over a fixed point, quadratic type, the final discussion projective geometry of some of the views of elementary geometry guide, projective geometry reveals elementary geometry and analytic geometry are intrinsically linked.
Key words:Infinite elements,Line a total of three points, Reconcile divided,Conics, Projective center
