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From this basis, he built his entire theory of plane geometry, which has shaped mathematics, science and philosophy for centuries.
Euclid gathered up all of the knowledge developed in Greek mathematics at that time and created his great work, a book called 'The Elements' (c300 BCE).
This treatise is unequaled in the history of science and could safely lay claim to being the most influential non-religious book of all time.
Euclid probably attended Plato's academy in Athens before moving to Alexandria, in Egypt.
At this time, the city had a huge library and the ready availability of papyrus made it the center for books, the major reasons why great minds such as Heron of Alexandria and Euclid based themselves there.
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Geometrical knowledge typically concerns two kinds of things: theoretical or abstract knowledge contained in the definitions, theorems, and proofs in a system of geometry; and some knowledge of the external world, such as is expressed in terms taken from a system of geometry.
Apart from the Elements, Euclid also wrote works about astronomy, mirrors, optics, perspective and music theory, although many of his works are lost to posterity.
Certainly, he can go down in history as one of the greatest mathematicians of all time, and he was certainly one of the giants upon whose shoulders Newton stood.
A line is said to be “a breadthless length”, and a straight line to be a line “which lies evenly with the points on itself”.
This may help convince readers that they share a common conception of the straight line, but it is no use if unexpected difficulties arise in the creation of a theory—as we shall see.