However, this rationalism, which arose in opposition to empiricism, kept the upper hand, and Euclid constructed the science of mathematics in accordance with it. He was compelled by necessity to found the axioms upon evidence of perception (fa???µe???), but all the rest he based upon reasoning (???µe???).
Bitartean, enpirismoarekiko oposizioan sorturiko razionalismoak nagusitasuna lortu zuen, eta horren arabera landu zuen Euklidesek matematika, axioma ebidentzia begiesgarriaren (---) gainean soilik derrigorrean euskarrituz, baina gainerako guztia silogismoen gainean (---).