@article{Csima_Szirmai_2019, title={Isoptic curves of generalized conic sections in the hyperbolic plane}, volume={71}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/2287}, abstractNote={<p>We recall the notion of generalized hyperbolic angle between proper and improper straight lines, which is only available in Hungarian and Esperanto. <br>Then we summarize the generalized hyperbolic conic sections.</p> <p>After investigation of the real conic sections and their isoptic curves in the hyperbolic plane $\mathbf{H}^2,$ we consider the problem of isoptic curves of generalized conic sections in the extended hyperbolic plane.</p> <p>This problem is widely investigated in the Euclidean plane $\mathbf{E}^2$ but, in the hyperbolic and elliptic planes, there are few results. <br>Furthermore, we determine and visualize the generalized isoptic curves to all hyperbolic conic sections.</p> <p>For our computations, we use the classical models based on the projective interpretation of hyperbolic geometry. <br>In this way, the isoptic curves can be visualized in the Euclidean screen of a computer.</p> <p> </p>}, number={12}, journal={Ukrainsâ€™kyi Matematychnyi Zhurnal}, author={Csima, G. and Szirmai, J.}, year={2019}, month={Dec.}, pages={1684-1698} }