I can't resist the following observations:

The development of Greek geometry took place, roughly, between 600 B.C. (according to legends about Pythagoras and Thales) and 300 B.C. With Euclid, the basic idea of mathematics as reasoning was in place, and it only remained to get the details straight. True, that took a while.

It is curious to contrast this with the history of calculation and notation of numbers. In some sense it began about 8000 B.C. when the people in what is now northern Iraq moved into the Tigris-Euphrates delta and started recording agricultural transactions. By the year 2000 B.C. they had developed an extremely impressive system of calculation. For reasons we don't understand, this languished - the computational techniques of the Greeks, until Greek astronomers absorbed Babylonian methods, was very primitive, modeled apparently on the very awkward Egyptian methods of handling fractions. And it wasn't until about 1450 that a fully developed decimal place-value system, including decimal fractions, was developed in Islam, with major contributions from India.