Dergiler / Hagia Sophia Journal of Geometry / 2022 / Cilt: 4 Sayı: 2

On Carnot's Theorem in the Plane $\mathbb{R}_{\pi 3}^{2}$

On Carnot's Theorem in the Plane $\mathbb{R}_{\pi 3}^{2}$

Ziya AKÇA, Selahattin NAZLI

Sayfa
35–40
DOI
—

Abstract

In this paper, we consider the relationship between iso-taxicab distance and Euclidean distance and give Carnot's theorem in the plane $\mathbb{R}_{\pi 3}^{2}$, the theorem can also be thought of as a generalization of the Pythagorean theorem.

Anahtar kelimeler: The plane $\mathbb{R}_{\pi 3}^{2}$, Carnot's theorem, Pythagorean theorem