LOWER BOUND OF LENGTH OF TRIANGLE INSCRIBED IN A CIRCLE ON NON-EUCLIDEAN SPACES Chai, Y.D.; Lee, Young-Soo;
Wetzel proved if is a closed curve of length L in , then lies in some ball of radius [L/4]. In this paper, we generalize Wetzel`s result to the non-Euclidean plane with much stronger version. That is to develop a lower bound of length of a triangle inscribed in a circle in non-Euclidean plane in terms of a chord of the circle.