Original sentence: Euclid's Axioms had minor flaws, which were later corrected by David Hilbert, George Birkhoff, and Alfred Tarski.In his work Euclid never makes use of numbers to measure length, angle, or area.The plane is not directly given a definition, may be thought of as part of the common notions.This means that Euclid selected a small core of undefined terms (called common notions) and postulates (or axioms) and he then uses these to prove the geometrical statements
Edited sentence: Although the plane in its modern sense is not directly given a definition anywhere in the Elements, it may be thought of as part of the common notions.In his work Euclid never makes use of numbers to measure length, angle, or area {{citation needed}.In other words, he selected a small core of undefined terms (called common notions) and postulates (or axioms) which he then uses these to prove various geometrical statements