The first practical use of observing the stars was navigation on the sea, but the moving patterns and the wonder of small light points in an endless sky, certainly lead to more speculative questions about the hidden laws that make them and us move. Well, for Euclid, it might have lead to write a book about mathematics. Geometry is one of the origins of mathematics, and might teach us some good deal about problem solving. Euclid did not really mention what kinds of problems he wanted to solve. All he shows is how to prove that a proposal is true or false. He must have had quite some fun in discussing about design of reasoning with poets, sailors, artists, priests, kids ? I think the Alexandria of 300 B.C. might have been a place like this.
