One-Parameter Equations of Spherical Conics and Its Applications


  •  Bülent Altunkaya    
  •  Yusuf Yayli    
  •  H. Hacisalihoglu    
  •  Fahrettin Arslan    

Abstract

If we transform definitions of the conics in Euclidean plane on sphere, we obtain spherical conics. To calculate the E. Study Map of the spherical conics, we have to find one parameter equations of them. We had done this before in (Altunkaya, Yayl{\i}, Hac{\i}saliho\u{g}lu, \& Arslan, 2011). In this paper, we not only developed the results that we have found before, but also  calculated the E. Study Map of the spherical conics when they are great circles by using the theorems in (Hac{\i}saliho\u{g}lu, 1977).


This work is licensed under a Creative Commons Attribution 4.0 License.