Ram's theorem for Trisection

TL;DR

This paper explores a novel Euclidean geometric approach to the classical problem of angle trisection, proposing a new theorem inspired by Ram's work to address the problem indirectly.

Contribution

It introduces Ram's theorem for angle trisection, offering a new geometric method within Euclidean rules to approach this classical problem.

Findings

A new geometric theorem for angle trisection is proposed.

The approach adheres strictly to Euclidean geometry.

Potential for further geometric solutions to classical problems.

Abstract

While solving problems, if direct methods does not provide solution, indirect methods are explored. Today, we need an indirect method to solve the problem of angle trisection as the direct methods have been proved not to provide solutions. The unstoppable curiosity of Geometers and the newer advanced tools available with time have led to newer approaches to progress further. Results of exploration strictly following the Platonian rules of Euclidean geometry that could help in arriving at the solution is presented here.