A conic theorem generalised: directed angles and applications
A conic theorem generalised: directed angles and applications
复制标题
圆锥曲线定理推广：有向角和应用
DOI：
10.2307/3621654
复制
发表时间：
2000
期刊：
影响因子：
--
通讯作者：
R. Nickalls
中科院分区：
文献类型：
--
作者：
R. Nickalls
给出了定理[1]的一个新的一般证明，它包含有向角，涵盖了直线和二次曲线的所有可能的构形。发展了在这种情况下使用有向角的符号约定，并给出了例子，说明如何使用这个基本定理来更直接和简洁地建立圆锥曲线的许多切线/焦点性质。
A new and general proof of theorem [1] is presented, which accommodates directed angles and covers all possible configurations of line and conic. A sign convention for the use of directed angles in this setting is developed, and examples are given showing how this fundamental theorem can be used to establish, much more directly and succinctly, the many tangent/focus properties of conies.