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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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 |
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Conic sections Geometry Plane Hyperbola Conic sections Geometry Plane Hyperbola. Geometry and Topology |
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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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1719275866684391424 |