LITET OM DUBBELFÖRHÅLLANDEN OCH DETERMINANTFUNKTIONER

It is shown how the cross ratio arises in a natural way as an entity that remains invariant under projective transformations of the projective line. The reasoning is based on the properties of the determinant function of an underlying 2-dimensional vector space. The invariance of the cross ratio is ... Ausführliche Beschreibung

1. Person: SEGERCRANTZ, JERRY
Quelle: in Nordisk matematisk tidskrift Vol. 24, No. 3/4 (1976), p. 101-106
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Format: Online-Artikel
Sprache: Swedish
Veröffentlicht: 1976
Beschreibung: Online-Ressource
Schlagworte: research-article
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Zusammenfassung: It is shown how the cross ratio arises in a natural way as an entity that remains invariant under projective transformations of the projective line. The reasoning is based on the properties of the determinant function of an underlying 2-dimensional vector space. The invariance of the cross ratio is an automatic consequence of the construction. In the projective plane, the cross ratio of four collinear points is treated in an analogous fashion. An apparent simplification of the ordinary way of presentation is attained.
ISSN: 2446-080X

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