All Questions

Is the hyperbolic or spherical analogy of the following Euclidean fact, true? Two triangles with equal corresponding medians are congruent. More precisely: Assume that $\Delta ABC$ and $ ...

Let $S$ be a simply connected Riemannan surface . Suppose $\Delta ABC$ is a triangle on $S$. The Area of a triangle is denoted by $\mathcal{A}$. A point $P$ in the interior of $\Delta ABC$ is ...