{"paper":{"title":"Isoptic curves of generalized conic sections in the hyperbolic plane","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.MG","authors_text":"G\\'eza Csima, Jen\\H{o} Szirmai","submitted_at":"2015-04-24T10:01:04Z","abstract_excerpt":"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.\n  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 "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.06450","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}