The methods of Archimedes were well known and being built upon up until around the renaissance. Around that time (early 17th century) the Jesuits stepped in and banned all use of "infinitesimals" because... well because no-one could make any sense of it and it threatened the seeming perfection of constructive geometry, which was held up to be the language of the gods. So anyway, if you want to blame someone blame the jesuits, they sent european mathematicians (especially italian) back to the stone age.

More here: "Infinitesimal: How a Dangerous Mathematical Theory Shaped the Modern World" By Amir Alexander