Smarandache's Cevian Triangle Theorem in The Einstein Relativistic Velocity Model of Hyperbolic Geometry

TL;DR

This paper proves Smarandache's cevian triangle theorem within the Einstein relativistic velocity model of hyperbolic geometry, extending classical geometric results into a relativistic hyperbolic context.

Contribution

It provides the first proof of Smarandache's cevian triangle theorem in the Einstein relativistic velocity model of hyperbolic geometry.

Findings

The theorem holds in the Einstein relativistic velocity model.

The proof bridges classical and relativistic hyperbolic geometry.

New insights into geometric structures in relativistic models.

Abstract

In this note, we present a proof of Smarandache's cevian triangle hyperbolic theorem in the Einstein relativistic velocity model of hyperbolic geometry.