Laguerre transformations

id: laguerre-transformations-242-5052786
title: Laguerre transformations
text: The Laguerre transformations or axial homographies are an analogue of Möbius transformations over the dual numbers. When studying these transformations, the dual numbers are often interpreted as representing oriented lines on the plane. The Laguerre transformations map lines to lines, and include in particular all isometries of the plane. Strictly speaking, these transformations act on the dual number projective line, which adjoins to the dual numbers a set of points at infinity. Topologically,
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Laguerre_transformations
date created:
date modified: 2023-07-25T23:07:47Z
main entity: {"identifier":"Q97357520","url":"https://www.wikidata.org/entity/Q97357520"}
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