Oriented angles in affine space

The concept of a smooth oriented angle in an arbitrary affine space is introduced. This concept is based on a kinematics concept of a run. Also, a concept of an oriented angle in such a space is considered. Next, it is shown that the adequacy of these concepts holds if and only if the affine space,...

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Bibliographic Details
Main Author: Włodzimierz Waliszewski
Format: Article
Language:deu
Published: Wydawnictwo Naukowe Uniwersytetu Pedagogicznego 2004-05-01
Series:Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica
Online Access:http://studmath.up.krakow.pl/index.php/studmath/article/view/29
Description
Summary:The concept of a smooth oriented angle in an arbitrary affine space is introduced. This concept is based on a kinematics concept of a run. Also, a concept of an oriented angle in such a space is considered. Next, it is shown that the adequacy of these concepts holds if and only if the affine space, in question, is of dimension 2 or 1.
ISSN:2081-545X