A fairly self explanatory title; do Tarski's first order axioms given in his famous 'What is Elementary Geometry?' Suffice to prove all of the theorems in Euclid's Elements? (Excluded non-plane geometric theorems).
Now, Euclid spends a considerable amount of time using geometry to develop number theory systematically, including the theory of primes and the like. Tarski proved his axioms complete, but if his axioms suffice for all Euclidean geometry, how does this not contradict Godel's incompleteness theorem since a theory that contains number theory is certainly strong enough for Godel incompleteness to appy?