伪内积与双曲空间的Routh定理

PSEUDO-INNER PRODUCT AND THE ROUTH TEOREM IN HYPERBOLIC SPACE

利用伪内积的概念,将欧氏平面上的Routh定理推广至二维双曲空间H^2,并证明了双曲Menelaus定理及Ceva定理。

Using the concept of pseudo-inner product, this paper generalize the Eudidean Routh theorem to two dimensional hyperbolic space H^2. Meanwhile, the hyperbolic Menelaus theorem and Ceva theorem are proved.