Pascal's Heptagrammum和Octagrammum Mysticum的说明
Illumination of Pascal's Hexagrammum and Octagrammum Mysticum
摘要：
我们证明一般结果，其中包括经典的事实约60帕斯卡的线作为特殊情况。沿着类似的路线，我们建立类似的结果2520二次曲线的配置所产生的神秘八角形。我们提供了一个更组合的前景，这些结果和他们的双重声明。Bezout定理是主要的工具，但它的应用是由经验证据和计算机实验程序灰姑娘指导的。我们还强调了与$k$ -网的代数曲线。
英文摘要：
We prove general results which include classical facts about 60 Pascal's lines as special cases. Along similar lines we establish analogous results about configurations of 2520 conics arising from Mystic Octagon. We offer a more combinatorial outlook on these results and their dual statements. Bezout's theorem is the main tool, however its application is guided by the empirical evidence and computer experiments with program Cinderella. We also emphasize a connection with $k$-nets of algebraic curves.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
