KnowraElementLinked fromLinked fromThe 10 pages that link to Element, each with the reason it gives.All 10Broader topic 8Related 1Compared with 1Pythagorean theoremRelated: Its proof became a durable model for presenting the theorem deductively.SubsetCompared with: An element is a member of a set, while a subset is itself a set whose members are included.Ancient Greek mathematicsBroader topic: It systematized earlier mathematics into the most influential surviving Greek textbook.Parallel postulateBroader topic: Its opening books establish the setting and consequences of the fifth postulate.Unique factorizationBroader topic: Its number-theory books establish results about primes and divisibility.AM–GM inequalityBroader topic: Book VI contains an early geometric result underlying the two-variable inequality.Euclid's theoremBroader topic: Book IX contains the classic proof that primes are infinite.Euclid–Euler theoremBroader topic: Its Book IX contains the direction of the theorem later associated with Euclid.Playfair's axiomBroader topic: Its fifth postulate prompted centuries of attempts to clarify parallelism.Apollonius's theoremBroader topic: Classical geometric identities such as this one belong to the proof tradition established in the Elements.