無窮遠(yuǎn)元素及其應(yīng)用

原創(chuàng)

摘要:利用無窮遠(yuǎn)元素研究關(guān)于三點(diǎn)共線,三線共點(diǎn),調(diào)和分割,動(dòng)直線過定點(diǎn),二次曲線類型等問題,最后討論射影幾何的某些觀點(diǎn)對(duì)初等幾何的指導(dǎo)作用,揭示射影幾何與初等幾何解析幾何的內(nèi)在聯(lián)系.
關(guān)鍵詞:無窮元素,三點(diǎn)共線,三線共點(diǎn),調(diào)和分割,二次曲線,中心射影.
    對(duì)射影幾何的基本概念,中心射影和無窮元素,我們都和熟悉,但卻很少選用它們來證明
幾何命題.而本文主要利用中心射影和無窮遠(yuǎn)元素來證明三點(diǎn)共線,三線共點(diǎn)等幾何問題. 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