Affine and projective universal geometry

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dc.creatorWildberger, Norman J.
dc.date2006-12-18
dc.date.accessioned2026-07-07T07:35:42Z
dc.date.available2026-07-07T07:35:42Z
dc.descriptionBy recasting metrical geometry in a purely algebraic setting, both Euclidean and non-Euclidean geometries can be studied over a general field with an arbitrary quadratic form. Both an affine and a projective version of this new theory are introduced here, and the main formulas extend those of rational trigonometry in the plane. This gives a unified, computational model of both spherical and hyperbolic geometries, allows the extension of many results of Euclidean geometry to the relativistic setting, and provides a new metrical approach to algebraic geometry.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0612499
dc.identifierhttp://arxiv.org/abs/math/0612499
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120179
dc.subjectMetric Geometry
dc.subjectAlgebraic Geometry
dc.subject51M10; 51F99; 51N15
dc.titleAffine and projective universal geometry
dc.typetext

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