On the versions in the plane $\mathbb{R}_{\pi 3}^{2}$ of some Euclidean theorems

Abstract

In this paper, we give the ratios of directed lengths\ in planes the Euclidean and $\mathbb{R}_{\pi 3}^{2}$ and the analogues in the plane $ \mathbb{R}_{\pi 3}^{2}$ of the Menelaus and Ceva's Theorems.