Things which are equal to the same thing are also equal to one another. If equals be added to equals, the wholes are equal. If equals be subtracted from equals, the remainders are equal.

To give a rational reconstruction and critical evaluation of the traditional account of mathematical knowledge inspired by Euclid’s Elements. All of us have mathematical knowledge ... knowledge as ...

Euclid's definition of it is worthless, but his axioms remain basically sound. His successors in mathematics have extended his ideas to the curved line and a clearer concept of length By Morris Kline ...

Later on the way back to school, they discussed Euclid’s other axioms and postulates with their teacher. Next day they had a revision class in school where teacher asked them following questions ...