Pascal命题和Brianchon命题在解题中的应用

Application of Pascal proposition and Brianchon proposition in solving problems

由Pascal命题及其逆命题和它对偶的Brianchon命题及其逆命题来解决三点共线,三线共点,四点共线,五点共线,六点或六直线在一条二次曲线上的问题,还应用这两个命题解决了求解定点问题与定直线问题以及作图问题.

By the Pascal proposition and its converse proposition, and each of the dual Brianchon proposition and its converse proposition, the problems of the three point sharing line, the three line sharing point, the four point sharing line, the five point sharing line, the six point and the six line sharing a quadratic curve are solved.By applying these two propositions, the problems of fixing point, fixing line and plotting are solved.