distance." Euclid, Elements, Book I, Postulates 1 & 3. Euclid's axiomatic approach and constructive methods were widely influential. Many of Euclid's propositions...

to the Elements, Euclid wrote a central early text in the optics field, Optics, and lesser-known works including Data and Phaenomena. Euclid's authorship...

the parallel postulate, also called Euclid's fifth postulate because it is the fifth postulate in Euclid's Elements, is a distinctive axiom in Euclidean...

In algebra and number theory, Euclid's lemma is a lemma that captures a fundamental property of prime numbers: Euclid's lemma — If a prime p divides the...

attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry, Elements. Euclid's approach consists in assuming a small...

Commentary on the First Book of Euclid's "Elements" Proclus (1970). A Commentary on the First Book of Euclid's Elements. Princeton, N.J.: Princeton University...

Euclid's theorem is a fundamental statement in number theory that asserts that there are infinitely many prime numbers. It was first proven by Euclid...

g_{k}} and derived a contradiction. Euclid's theorem states that there are infinitely many primes. In Euclid's Elements the theorem is stated in Book IX...

Conceptual Development. Kluwer. ISBN 0-7923-5972-0. Euclid (1956). The Thirteen Books of Euclid's Elements, Translated from the Text of Heiberg, with Introduction...

"Euclid's Elements, Book XII, Proposition 2". aleph0.clarku.edu. "Euclid's Elements, Book XII, Proposition 5". aleph0.clarku.edu. "Euclid's Elements,...