Bending the Rules of Geometry | 360°

Geometry (from the Historic Greek: γεωμετρία; geo- “earth”, -metron “measurement”) is a department of arithmetic involved with questions of form, dimension, relative place of figures, and the properties of house. A mathematician who works within the subject of geometry known as a geometer.

Geometry arose independently in numerous early cultures as a sensible method for coping with lengths, areas, and volumes. Geometry started to see parts of formal mathematical science rising in Greek arithmetic as early because the sixth century BC. By the third century BC, geometry was put into an axiomatic kind by Euclid, whose therapy, Euclid's Components, set a regular for a lot of centuries to observe. Geometry arose independently in India, with texts offering guidelines for geometric constructions showing as early because the third century BC. Islamic scientists preserved Greek concepts and expanded on them through the Center Ages. By the early 17th century, geometry had been placed on a stable analytic footing by mathematicians resembling René Descartes and Pierre de Fermat. Since then, and into trendy occasions, geometry has expanded into non-Euclidean geometry and manifolds, describing areas that lie past the conventional vary of human expertise.

Whereas geometry has developed considerably all through the years, there are some normal ideas which might be basic to geometry. These embody the ideas of level, line, aircraft, distance, angle, floor, and curve, in addition to the extra superior notions of topology and manifold.

Geometry has purposes to many fields, together with artwork, structure, physics, in addition to to different branches of arithmetic.

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