KnowraEuclid's ElementsLinked fromLinked fromThe 56 pages that link to Euclid's Elements, each with the reason it gives.All 56Broader topic 22Related 31Narrower topic 2Compared with 1Euclidean geometryBroader topic: It preserved and organized the propositions that became classical Euclidean geometry.EuclidBroader topic: This is Euclid’s best-known work and the main source of his lasting mathematical influence.Mathematical proofBroader topic: Its axiomatic organization became a lasting model for mathematical exposition.AxiomBroader topic: Its geometric postulates became a lasting model for axiomatic mathematics.History of mathematicsBroader topic: Its axiomatic structure shaped mathematical teaching and proof for centuries.Synthetic geometryBroader topic: Its axiomatic presentation became the enduring model for synthetic geometric proof.Greek mathematicsBroader topic: It exemplifies the tradition’s chain of definitions, axioms, and demonstrated theorems.Foundations of mathematicsBroader topic: Its axiomatic presentation became a lasting model for deductive mathematics.Axiomatic methodBroader topic: Its systematic derivation of propositions became the model case for axiomatic organization.Euclid's lemmaBroader topic: Book VII contains the proposition traditionally identified with Euclid's lemma.Latin translations of the 12th centuryBroader topic: Latin versions transmitted Greek mathematical knowledge to medieval scholars.Graeco-Arabic translation movementBroader topic: Its Arabic versions transmitted Greek mathematical reasoning and supported later mathematical work.DemonstrationBroader topic: Its organized proofs became a lasting model of demonstrative mathematical knowledge.Foundations of GeometryBroader topic: Its axiomatic presentation shaped the foundational ideal that later mathematicians examined.Philosophy of mathematicsBroader topic: Its axiomatic presentation became a lasting model for foundational organization.Perfect numberBroader topic: Book IX contains the construction later recognized as producing even perfect numbers.History of geometryBroader topic: Its axiomatic structure became the most influential model of geometry for centuries.Pure mathematicsBroader topic: Its axiomatic presentation shaped mathematical exposition for more than two millennia.Formal scienceBroader topic: Its axiomatic presentation became a durable model of mathematical exposition.Axiom (mathematics and logic)Broader topic: Its geometric postulates became a lasting model for axiomatic mathematics.Science in classical antiquityBroader topic: Its axiomatic structure became a durable model for mathematical exposition.Science in the ancient worldBroader topic: Its deductive structure became a durable model for mathematical exposition.
KnowraEuclid's ElementsLinked fromLinked fromThe 56 pages that link to Euclid's Elements, each with the reason it gives.All 56Broader topic 22Related 31Narrower topic 2Compared with 1Euclidean geometryBroader topic: It preserved and organized the propositions that became classical Euclidean geometry.EuclidBroader topic: This is Euclid’s best-known work and the main source of his lasting mathematical influence.Mathematical proofBroader topic: Its axiomatic organization became a lasting model for mathematical exposition.AxiomBroader topic: Its geometric postulates became a lasting model for axiomatic mathematics.History of mathematicsBroader topic: Its axiomatic structure shaped mathematical teaching and proof for centuries.Synthetic geometryBroader topic: Its axiomatic presentation became the enduring model for synthetic geometric proof.Greek mathematicsBroader topic: It exemplifies the tradition’s chain of definitions, axioms, and demonstrated theorems.Foundations of mathematicsBroader topic: Its axiomatic presentation became a lasting model for deductive mathematics.Axiomatic methodBroader topic: Its systematic derivation of propositions became the model case for axiomatic organization.Euclid's lemmaBroader topic: Book VII contains the proposition traditionally identified with Euclid's lemma.Latin translations of the 12th centuryBroader topic: Latin versions transmitted Greek mathematical knowledge to medieval scholars.Graeco-Arabic translation movementBroader topic: Its Arabic versions transmitted Greek mathematical reasoning and supported later mathematical work.DemonstrationBroader topic: Its organized proofs became a lasting model of demonstrative mathematical knowledge.Foundations of GeometryBroader topic: Its axiomatic presentation shaped the foundational ideal that later mathematicians examined.Philosophy of mathematicsBroader topic: Its axiomatic presentation became a lasting model for foundational organization.Perfect numberBroader topic: Book IX contains the construction later recognized as producing even perfect numbers.History of geometryBroader topic: Its axiomatic structure became the most influential model of geometry for centuries.Pure mathematicsBroader topic: Its axiomatic presentation shaped mathematical exposition for more than two millennia.Formal scienceBroader topic: Its axiomatic presentation became a durable model of mathematical exposition.Axiom (mathematics and logic)Broader topic: Its geometric postulates became a lasting model for axiomatic mathematics.Science in classical antiquityBroader topic: Its axiomatic structure became a durable model for mathematical exposition.Science in the ancient worldBroader topic: Its deductive structure became a durable model for mathematical exposition.