Ostwald's Classics of the Exact Sciences (Volume 235): The Elements. Book I - XIII

With the thirteen books of the 'Elements' we encounter the most successful work of the mathematical world literature: In masterly presentation Euclid united the entire mathematical knowledge of his time and systematized it by the arrangement according to axiom, definition, theorem, proof. The work covers the areas of planimetry, stereometry, goniometry as well as trigonometry. In the course of his expositions Euclid proved two theorems from the theorem group of Pythagoras. In connection with the theory of numbers he showed that the number of prime numbers is unlimited. He gave a calculation instruction with the 'Euclidean algorithm'. With this work Euclid became the founder of Euclidean geometry. Through his introduction of the Axiomatic Method, geometry became a mathematical discipline.With an introduction by Peter Schreiber.