# From Euclid to Riemann and Beyond

## TL;DR

This paper reviews the historical evolution of geometry, emphasizing the development of Riemannian geometry and its crucial role in describing the universe's shape as a curved space.

## Contribution

It provides a historical overview of the origins of Riemannian geometry and its significance in understanding the universe's geometry.

## Key findings

- Riemannian geometry originated from 19th-century mathematical developments.
- Riemannian geometry is essential for modeling the universe as a curved space.
- Historical insights into the evolution of geometric concepts.

## Abstract

The purpose of this essay is to trace the historical development of geometry while focusing on how we acquired mathematical tools for describing the "shape of the universe." More specifically, our aim is to consider, without a claim to completeness, the origin of Riemannian geometry, which is indispensable to the description of the space of the universe as a "generalized curved space."