Euclid's mathematics was modeled after rationalism

 "It was recognized that perception through the senses was not to be trusted unconditionally, and it was hastily concluded thay only rational logical thinking established truth, although Plato (in the Parmenides), the Megarics, Pyrrho, and the New Academicians showed by examples (in the way later adopted by Sextus Empiricus) how syllogism and concepts were also misleading, how in fact they produced paralogisms and sophisms that arise much more easily, and are far harder to unravel, than the illusion in perception through the senses. But this rationalism, which arose in opposition to empiricism, kept the upper hand, and Euclid modelled mathematics in accordance with it. He was therefore necessarily compelled to found the axioms alone on the evidence of perception, and all the rest on syllogism." - Arthur Schopenhauer, The World as Will and Representation, Page 71