Linked from

The 45 pages that link to Euclid, each with the reason it gives.

• Euclidean geometryRelated: His name became attached to the geometry organized in his influential text.

• Prime numberRelated: Elements contains the classic proof that there are infinitely many primes.

• Hellenistic periodRelated: His systematic mathematics reflects the scholarly activity associated with Hellenistic centers.

• AlexandriaRelated: Ancient tradition places his mathematical teaching in Ptolemaic Alexandria.

• Pythagorean theoremRelated: Book I of the Elements contains a celebrated proof of the theorem and its converse.

• Modular arithmeticRelated: The Elements presents foundational results about divisibility and the greatest common divisor.

• Euclid's ElementsRelated: The treatise bears his name, though its compilation draws on earlier mathematical work.

• Non-Euclidean geometryRelated: His parallel postulate became the focus of centuries of attempted proof.

• Hyperbolic geometryRelated: His parallel postulate became the assumption later geometers tried to prove.

• Library of AlexandriaRelated: Euclid worked in Ptolemaic Alexandria, where the court’s scholarly environment supported mathematical inquiry.

• Euclidean algorithmRelated: The algorithm is named for the author whose Elements records its classical form.

• History of mathematicsRelated: His work became a durable model for organizing mathematics deductively.

• Synthetic geometryRelated: His work supplied the classical framework from which synthetic geometry developed.

• Eudoxus of CnidusRelated: Euclid’s presentation of proportions and geometric exhaustion preserves work associated with Eudoxus.

• Golden ratioRelated: Euclid described the defining division as a geometric construction, not a named number.

• Prime gapsRelated: His proof establishes an unending sequence in which prime gaps can be studied.

• Parallel postulateRelated: He presented the parallel postulate as the fifth assumption in the Elements.

• Greek mathematicsRelated: His Elements organized geometry and arithmetic into a long-lasting deductive system.

• Apollonius of PergaRelated: His geometric tradition preceded and shaped the setting for Apollonius's work.

• Axiomatic methodRelated: Euclid’s presentation of geometry gave the method its most influential early exemplar.

• Geometric constructionRelated: Elements presents geometric propositions through constructions and proofs.

• MathematicsRelated: The Elements became a lasting model of deductive mathematical exposition.

• Angle trisectionRelated: The construction rules in Euclid's Elements established the classical straightedge-and-compass framework.

• Euclid's lemmaRelated: The lemma bears his name and appears in his treatment of prime numbers.

• Elliptic geometryRelated: His fifth postulate became the target of attempts to establish Euclidean geometry's necessity.

• Ibn al-HaythamRelated: His emission theory of vision was among the ideas Ibn al-Haytham contested.

• Mersenne primeRelated: Euclid proved that 2^p − 1 prime produces an even perfect number.

• Pythagorean tripleRelated: Book X of the Elements gives a method for generating right-triangle integer sides.

• Hyperbolic planeRelated: His formulation of the parallel postulate framed the problem later resolved by hyperbolic geometry.

• Straightedge and compass constructionRelated: The Elements organized geometric propositions and constructions into an axiomatic system.

• Pappus of AlexandriaRelated: Pappus discusses Euclid’s foundational work and the mathematical tradition built upon it.

• Unique factorizationRelated: Books VII and IX contain classical results underpinning prime factorization.

• AM–GM inequalityRelated: A geometric construction in Elements VI.13 establishes a two-number mean comparison equivalent to AM–GM.

• Perfect numberRelated: Euclid proved that 2^(p−1)(2^p−1) is perfect whenever 2^p−1 is prime.

• Euclid's theoremRelated: The theorem is traditionally attributed to him.

• Theon of AlexandriaRelated: Theon’s best-known editorial achievement concerns Euclid’s Elements.

• Euclid–Euler theoremRelated: Book IX of the Elements proves that a Mersenne-prime expression yields an even perfect number.

• The School of AthensRelated: A figure commonly identified as Euclid demonstrates geometry to attentive students.

• Playfair's axiomRelated: His fifth postulate is the historical statement that Playfair's axiom reformulates.

• Star polygonRelated: The Elements discusses the regular pentagram, an early geometric star construction.

• Apollonius's theoremRelated: The theorem is part of the classical geometry tradition represented by Euclid's Elements.

• Highly composite numberRelated: His proof of infinitely many primes supplies the basic setting for their factorizations.

• MathematicianBroader topic: His textbook shaped mathematical education and the model of axiomatic reasoning.

• Aliquot sumRelated: Euclid gave a formula for even perfect numbers using Mersenne primes.

• De Gua's theoremRelated: The theorem extends a familiar Euclidean sum-of-squares relationship to tetrahedral face areas.