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The main purpose of this article is to try to understand the connectionbetween the physical universe and the mathematical principles that underliesthe cosmological account of the Timaeus. Aristotle's common criticism ofPlato's cosmology is that he confuses mathematical and physical constructions.Namely, the Timaeus is the first cosmology founded on mathematical physics. Wegive a new translation of Timaeus 31b-32b, an important passage to understandthe connection between mathematics and physics in Timaeus' cosmologicalconstruction. This article is the first of a series about the kh{\^o}ra. Wewill restrict our focus here to the much-debated question of the primaryelements in the kh{\^o}ra, the components of the whole physical world reduced,in an extraordinary elegant construction, to two right triangles.

The kh{\^o}ra and the two-triangle universe of Plato's Timaeus