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

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.

Keywords

• The plane $\mathbb{R}_{\pi 3}^{2}$
• Carnot's theorem
• Pythagorean theorem

References

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