Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Isoptic curves of generalized conic sections in the hyperbolic plane   After having investigated the real conic sections and their isoptic curves in
the hyperbolic plane $\bH^2$ we consider the problem of the isoptic curves of
generalized conic sections in the extended hyperbolic plane.
  This topic is widely investigated in the Euclidean plane $\BE^2$ (see for
example \cite{Lo}), but in the hyperbolic and elliptic planes there are few
results (see \cite{CsSz1}, \cite{CsSz2} and \cite{CsSz3}). In this paper we
recall the former results on isoptic curves in the hyperbolic plane geometry,
and define the notion of the generalised hyperbolic angle between proper and
non-proper straight lines, summarize the notions of generalized hyperbolic
conic sections classified by K.~Fladt in \cite{KF1} and \cite{KF2} and gy
E.~Moln\'ar in \cite{M81}. Furthermore, we determine and visualize the
generalized isoptic curves to all hyperbolic conic sections.
  We use for the computations the classical models which are based on the
projective interpretation of the hyperbolic geometry and in this manner the
isoptic curves can be visualized on the Euclidean screen of computer.

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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph