Advance in Algebraic curves: Application to Computer Graphing
DOI:
https://doi.org/10.29304/jqcm.2022.14.1.1004Keywords:
Curves, Surfaces, Differential Geometry, ReparametrizationAbstract
Differential geometry, a branch of mathematics that studies the geometry of curves, surfaces, and manifolds (the higher-dimensional analogs of surfaces). Curve is a smoothly flowing line (non sharp changes) or a curve must bend (change direction) but in Mathematics a straight line also a curve. We will present new definitions and theorems.
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References
[1] H. Busemann and P. J. Kelly, Projective Geometries and Projective Metrics, Academic Press, New York, 1953. h1, 10i
[2] H. Busemann, The Geometry of Geodesics, Academic Press, New York, 1955. h3i
[3] S. S. Cheng and W. Li, Analytic Solutions of Functional Equations, World Scientific, New Jersey, 2008. h8i
[4] M. A. Ghandehari, Heron’s problem in the Minkowski plane, Technical Report of Math. Dept. of University of Texas at Arlington, 306 (1997), http://hdl.handle.net/10106/2500. h2, 3i
[5] Á. G. Horváth and H. Martini, Conics in normed planes, Extracta Math., 26:1 (2011), 29–43; available also at arXiv: 1102.3008. h2, 3i
[6] L. Tamássy and K. Bélteky, On the coincidence of two kinds of ellipses in Minkowskian and Finsler planes, Publ. Math. Debrecen, 31:3-4 (1984), 157–161. h1, 12i [7] L. Tamássy and K. Bélteky, On the coincidence of two kinds of ellipses in Riemannian and in Finsler spaces, Coll. Math. Soc. J. Bolyai, 46 (1988), 1193-1200. h12i Electrical Engineering, 54(2016),494–505.
[2] H. Busemann, The Geometry of Geodesics, Academic Press, New York, 1955. h3i
[3] S. S. Cheng and W. Li, Analytic Solutions of Functional Equations, World Scientific, New Jersey, 2008. h8i
[4] M. A. Ghandehari, Heron’s problem in the Minkowski plane, Technical Report of Math. Dept. of University of Texas at Arlington, 306 (1997), http://hdl.handle.net/10106/2500. h2, 3i
[5] Á. G. Horváth and H. Martini, Conics in normed planes, Extracta Math., 26:1 (2011), 29–43; available also at arXiv: 1102.3008. h2, 3i
[6] L. Tamássy and K. Bélteky, On the coincidence of two kinds of ellipses in Minkowskian and Finsler planes, Publ. Math. Debrecen, 31:3-4 (1984), 157–161. h1, 12i [7] L. Tamássy and K. Bélteky, On the coincidence of two kinds of ellipses in Riemannian and in Finsler spaces, Coll. Math. Soc. J. Bolyai, 46 (1988), 1193-1200. h12i Electrical Engineering, 54(2016),494–505.
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Published
2022-08-20
How to Cite
Mahdi, A. M. (2022). Advance in Algebraic curves: Application to Computer Graphing. Journal of Al-Qadisiyah for Computer Science and Mathematics, 14(1), Math Page 39–55. https://doi.org/10.29304/jqcm.2022.14.1.1004
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