Dergiler / International Electronic Journal of Geometry / 2016 / Cilt: 9 - Sayı: 1

A New Approach about the Determination of a Developable Spherical Orthotomic Ruled Surface in R(1,3)

Sayfa
62–69
Yayın Tarihi
2016-04-30
DOI
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Bu Makaleye Atıf Yap

YILDIZ, Ö. G., KARAKUŞ, S. Ö., HACISALİHOĞLU, H. H. (2016). A New Approach about the Determination of a Developable Spherical Orthotomic Ruled Surface in R(1,3). International Electronic Journal of Geometry, Cilt: 9 - Sayı: 1, 62–69. https://ajindex.com/articles/672110

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Kaynakça (18)

  1. Alamo, N. and Criado, C., Generalized Antiorthotomics and their Singularities, Inverse Problems, 18(3) (2002), 881-889
  2. Blaschke, W., Vorlesungen Über Differential Geometry I., Verlag von Julieus Springer, Berlin 1930
  3. Bruce, J. W., On Singularities, Envelopes and Elementary Differential Geometry, Math. Proc. Cambridge Philos. Soc., 89 (1) (1981), 43-48
  4. Bruce, J. W. and Giblin, P. J., Curves and Singularities. A Geometrical Introduction to Singularity Theory, Second Edition, University Press, Cambridge, (1992)
  5. Bruce, J. W. and Giblin, P. J., One-parameter Families of Caustics by Reflexion in the Plane, Quart. J. Math. Oxford Ser., (2), 35 (139) (1984), 243-251
  6. Georgiou, C., Hasanis, T. and Koutroufiotis, D., On the Caustic of a Convex Mirror, Geom. Dedicata, 28 (2) (1988), 153-169
  7. Gibson, C. G., Elementary Geometry of Differentiable Curves, Cambridge University Press, 2011
  8. Hoschek, J., Smoothing of curves and surfaces, Computer Aided Geometric Design, Vol. 2, No. 1-3 (1985), special issue, 97-105
  9. Köse, Ö., A Method of the Determination of a Developable Ruled Surface, Mechanism and Machine Theory, 34 (1999), 1187-1193
  10. Li, C.Y., Wang, R.H. and Zhu, C.G., An approach for designing a developable surface through a given line of curvature, Computer Aided Design, 45 (2013), 621-627
  11. McCarthy, J.M., On The Scalar and Dual Formulations of the Curvature Theory of Line Trajectories, ASME Journal of Mechanisms, Transmissions and Automation in Design, (1987), 109-101
  12. Study, E., Geometrie der Dynamen, Leibzig, 1903
  13. Uğurlu, H. H. and Çaliskan, A., The Study mapping for directed spacelike and timelike lines in Minkowski 3-space, Mathematical and Computational Applications, Vol. 1, No:2 (1996), 142-148
  14. Veldkamp, G. R., On the use of dual numbers, vectors and matrices in instantaneous, spatial kinematics, Mech. Mach. Theory, 11 (1976), no. 2, 141-156
  15. Xiong, J.F., Spherical Orthotomic and Spherical Antiorthotomic, Acta Mathematica Sinica, 23 (2007), Issue 9, 1673-1682
  16. Yaylı, Y., Çalışkan, A., and Uğurlu, H.H., The E. Study Maps of Circles on Dual Hyperbolic and Lorentzian Unit Spheres H^2_0 and S^2_1 Mathematical Proceedings of the Royal Irish Academy, 102A (2002), 1, 37-47
  17. Yıldız, Ö. G., Hacısalihogğlu, H.H., Study Map of Spherical Orthotomic of a Circle, International J. Math. Combin, Vol.4, (2014), 07-17
  18. Yıldız, Ö. G., Karakus¸, S. Ö., Hacısalihoğlu, H.H., On the determination o