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The rigorous deductive methods of geometry found in Euclid's Elements of Geometry were relearned, and further development of geometry in the styles of both Euclid (Euclidean geometry) and Khayyam (algebraic geometry) continued, resulting in an abundance of new theorems and concepts, many of them very profound and elegant.
1870 – Felix Klein constructs an analytic geometry for Lobachevski's geometry thereby establishing its self-consistency and the logical independence of Euclid's fifth postulate, 1873 – Charles Hermite proves that e is transcendental, 1878 – Charles Hermite solves the general quintic equation by means of elliptic and modular functions
Geometry (from Ancient Greek γεωμετρία (geōmetría) 'land measurement'; from γῆ (gê) 'earth, land' and μέτρον (métron) 'a measure') [1] is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. [2]
A comprehensive overview of the origin and development of mathematics in different civilizations and periods, from prehistoric times to the modern age. Learn about the discoveries, methods, notation, and applications of mathematics in various fields and cultures.
Learn about the study of geometries as axiomatic systems, from Euclid's Elements to non-Euclidean geometries. Explore the properties, methods and applications of axiomatic geometry, and its historical and modern developments.
Euclid (c. 330–270 BC) was a prominent figure in the history of mathematics, known for his Elements treatise that established the foundations of Euclidean geometry. Learn about his life, works, legacy, and controversies from this comprehensive Wikipedia article.
Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, who proved many propositions from a small set of intuitively appealing axioms. Learn about the parallel postulate, the common notions, the platonic solids, and the history and branches of Euclidean geometry.
Euclid's Elements is a mathematical treatise on plane and solid geometry, number theory, and incommensurable lines. It is a collection of definitions, postulates, propositions, and proofs attributed to the ancient Greek mathematician Euclid c. 300 BC.