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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."arXiv:1904.01845v1 fatcat:tyckpaulw5agfbzj7zelbk5htm