Proof of uncontradiction Riemann plane geometry on one of the models
Автор: Malykh A.E.
Журнал: Вестник Пермского университета. Серия: Математика. Механика. Информатика @vestnik-psu-mmi
Рубрика: История физико-математических наук
Статья в выпуске: 1 (9), 2012 года.
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Elliptical sheaf of spheres - one of possible models - is constructed. It contains the main notions of geometry: circles, spheres and circular transformations. Relations between objects of this sheaf are introduced. Uncontradiction of Riemann plane geometry was proved. An other models of this geometry are described.
Riemann geometry, objects, model, groups of axioms, radical axis and centre, sheaves of circles and spheres, elliptical sheaf of spheres, inversion
Короткий адрес: https://sciup.org/14730143
IDR: 14730143
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