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Early geometry was a collection of empirically discovered principles concerning lengths, angles, areas, and volumes, which were developed to meet some practical need in surveying, construction, astronomy, and various crafts.
Euclid (/ ˈ j uː k l ɪ d /; Ancient Greek: Εὐκλείδης; fl. 300 BC) was an ancient Greek mathematician active as a geometer and logician. [2] Considered the "father of geometry", [3] he is chiefly known for the Elements treatise, which established the foundations of geometry that largely dominated the field until the early 19th century.
René Descartes (1596–1650) – invented the methodology of analytic geometry, also called Cartesian geometry after him Pierre de Fermat (1607–1665) – analytic geometry Blaise Pascal (1623–1662) – projective geometry
Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry, Elements.Euclid's approach consists in assuming a small set of intuitively appealing axioms (postulates) and deducing many other propositions from these.
Geometry (from Ancient Greek ... Early geometry was a collection of empirically discovered principles concerning lengths, angles, areas, and volumes, ...
ca. 1000 – Law of sines is discovered by Muslim mathematicians, ... 1135 – Sharafeddin Tusi followed al-Khayyam's application of algebra to geometry, ...
The son of Aglaos, Eratosthenes was born in 276 BC in Cyrene.Now part of modern-day Libya, Cyrene had been founded by Greeks centuries earlier and became the capital of Pentapolis (North Africa), a country of five cities: Cyrene, Arsinoe, Berenice, Ptolemias, and Apollonia.
In mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those that specify Euclidean geometry.As Euclidean geometry lies at the intersection of metric geometry and affine geometry, non-Euclidean geometry arises by either replacing the parallel postulate with an alternative, or relaxing the metric requirement.