The cissoid of Diocles in the Lorentz–Minkowski plane
The cissoid of Diocles in the Lorentz–Minkowski plane
This article presents the cissoid of Diocles and the cissoid of two circles with respect to origin in the Lorentz–Minkowski plane.
___
- [1] Birman GS, Nomizu K. Trigonometry in Lorentzian geometry. The American Mathematical Monthly 1984; 91(9):
543-549.
- [2] Botana F, Valcarce JL. A software tool for the investigation of plane loci. Mathematics and Computers in Simulation
2003; 61: 139-152.
- [3] Brill D, Jacobson T. Spacetime and Euclidean geometry. 2004; arXiv:gr-qc/0407022v2 4 Aug 2004.
- [4] Hilton H. Plane Algebraic Curves. London, UK: Oxford University Press, 1932.
- [5] Lawrence JD. A Catalog of Special Plane Curves. New York, NY, USA: Dover Publications, 1972.
- [6] Lopez R. Differential geometry of curves and surfaces in Lorentz-Minkowski Space. International Electronic Journal
of Geometry 2014; 7(1): 44-107.
- [7] McCarthy JP. The cissoid of Diocles. The Mathematical Gazette 1957; 41(336): 102-105.
- [8] O’neill B. Semi-Riemannian Geometry with Applications to Relativity. New York, NY, USA: Academic Press, 1983.
- [9] Quinn JJ. A linkage for the kinematic description of a Cissoid. The American Mathematical Monthly 1906; 13(3):
57.
- [10] Shonoda EN. Classification of conics and Cassini curves in Minkowski space-time plane. Journal of Egyptian
Mathematical Society 2016; 24: 270-278.
- [11] Yates RC. Curves and their Properties. USA: National Council for Teachers of Mathematics, 1974.