Книга: Joly Charles Jasper «Quaternions and Projective Geometry»

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• Projective space — In mathematics a projective space is a set of elements constructed from a vector space such that a distinct element of the projective space consists of all non zero vectors which are equal up to a multiplication by a non zero scalar. A formal… …   Wikipedia

• analytic geometry — a branch of mathematics in which algebraic procedures are applied to geometry and position is represented analytically by coordinates. Also called coordinate geometry. [1820 30] * * * Investigation of geometric objects using coordinate systems.… …   Universalium

• Non-Euclidean geometry — Behavior of lines with a common perpendicular in each of the three types of geometry Non Euclidean geometry is the term used to refer to two specific geometries which are, loosely speaking, obtained by negating the Euclidean parallel postulate,… …   Wikipedia

• Inversive ring geometry — In mathematics, inversive ring geometry is the extension to the context of associative rings, of the concepts of projective line, homogeneous coordinates, projective transformations, and cross ratio, concepts usually built upon rings that happen… …   Wikipedia

• Quaternionic projective space — In mathematics, quaternionic projective space is an extension of the ideas of real projective space and complex projective space, to the case where coordinates lie in the ring of quaternions H. Quaternionic projective space of dimension n is… …   Wikipedia

• Forme hermitienne — Cet article concerne le cas général abstrait. Pour un cas plus élémentaire, voir Forme sesquilinéaire complexe. En mathématiques, une forme hermitienne est une fonction de deux variable sur un espace vectoriel sur un corps relativement à une… …   Wikipédia en Français