Earliest Uses of Some Words of Mathematics

Classic site but I noticed this claim about Euclid's proof of infinitude of primes which is always disputed:

https://mathshistory.st-andrews.ac.uk/HistTopics/Prime_numbe...

This is one of the first proofs known which uses the method of contradiction to establish a result.

https://en.wikipedia.org/wiki/Euclid%27s_theorem

Euclid is often erroneously reported to have proved this result by contradiction beginning with the assumption that the finite set initially considered contains all prime numbers, though it is actually a proof by cases, a direct proof method.