Conics in the hyperbolic plane

An affine transformation such as T(P)=Q is a locus of an affine conic. Any affine conic can be produced from this incidence construction. The affine type of conic (ellipse, parabola, hyperbola) is determined by the invariants of T, the determinant and trace of its linear part. The purpose of this th...

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Main Author: Naeve, Trent Phillip
Format: Others
Published: CSUSB ScholarWorks 2007
Subjects:
Online Access:https://scholarworks.lib.csusb.edu/etd-project/3075
https://scholarworks.lib.csusb.edu/cgi/viewcontent.cgi?article=4111&context=etd-project
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spelling ndltd-csusb.edu-oai-scholarworks.lib.csusb.edu-etd-project-41112019-10-23T03:34:57Z Conics in the hyperbolic plane Naeve, Trent Phillip An affine transformation such as T(P)=Q is a locus of an affine conic. Any affine conic can be produced from this incidence construction. The affine type of conic (ellipse, parabola, hyperbola) is determined by the invariants of T, the determinant and trace of its linear part. The purpose of this thesis is to obtain a corresponding classification in the hyperbolic plane of conics defined by this construction. 2007-01-01T08:00:00Z text application/pdf https://scholarworks.lib.csusb.edu/etd-project/3075 https://scholarworks.lib.csusb.edu/cgi/viewcontent.cgi?article=4111&context=etd-project Theses Digitization Project CSUSB ScholarWorks Conic sections Geometry Plane Hyperbola Conic sections Geometry Plane Hyperbola. Geometry and Topology
collection NDLTD
format Others
sources NDLTD
topic Conic sections
Geometry
Plane
Hyperbola
Conic sections
Geometry
Plane
Hyperbola.
Geometry and Topology
spellingShingle Conic sections
Geometry
Plane
Hyperbola
Conic sections
Geometry
Plane
Hyperbola.
Geometry and Topology
Naeve, Trent Phillip
Conics in the hyperbolic plane
description An affine transformation such as T(P)=Q is a locus of an affine conic. Any affine conic can be produced from this incidence construction. The affine type of conic (ellipse, parabola, hyperbola) is determined by the invariants of T, the determinant and trace of its linear part. The purpose of this thesis is to obtain a corresponding classification in the hyperbolic plane of conics defined by this construction.
author Naeve, Trent Phillip
author_facet Naeve, Trent Phillip
author_sort Naeve, Trent Phillip
title Conics in the hyperbolic plane
title_short Conics in the hyperbolic plane
title_full Conics in the hyperbolic plane
title_fullStr Conics in the hyperbolic plane
title_full_unstemmed Conics in the hyperbolic plane
title_sort conics in the hyperbolic plane
publisher CSUSB ScholarWorks
publishDate 2007
url https://scholarworks.lib.csusb.edu/etd-project/3075
https://scholarworks.lib.csusb.edu/cgi/viewcontent.cgi?article=4111&context=etd-project
work_keys_str_mv AT naevetrentphillip conicsinthehyperbolicplane
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