Abstract
In the paper we study equidistant sets (midsets) of a conic and a line. We show that it is a part of a curve of order 8 if the conic is an ellipse or a hyperbola, and it is a part of a curve of order 6 in the case of parabola. We study the properties of the obtained curves such as their behavior at infinity and the existence of singular points.
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References
Ponce, M., Santibáñez, P.: On equidistant sets and generalized conics: the old and the new. Amer. Math. Monthly 121(1), 18–32 (2014)
Wilker, J.B.: Equidistant sets and their connectivity properties. Proc. Amer. Math. Soc. 47(2), 449–452 (1975)
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Žlepalo, M.K., Jurkin, E. (2019). Equidistant Sets of Conic and Line. In: Cocchiarella, L. (eds) ICGG 2018 - Proceedings of the 18th International Conference on Geometry and Graphics. ICGG 2018. Advances in Intelligent Systems and Computing, vol 809. Springer, Cham. https://doi.org/10.1007/978-3-319-95588-9_22
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DOI: https://doi.org/10.1007/978-3-319-95588-9_22
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