[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.
[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 of a developable spherical orthotomic ruled surface, Bull. Math.
Sci., (2014) 5:137-146.
[19] Yıldız, Ö. G., Karakus¸, S. Ö., Hacısalihogğlu, H.H., On the Determination of a Timelike
Developable Spherical Orthotomic RuledSurface,Konuralp Journal of Mathematic, Volume 3 No. 1 (2015) 75-83.
[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.
[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 of a developable spherical orthotomic ruled surface, Bull. Math.
Sci., (2014) 5:137-146.
[19] Yıldız, Ö. G., Karakus¸, S. Ö., Hacısalihogğlu, H.H., On the Determination of a Timelike
Developable Spherical Orthotomic RuledSurface,Konuralp Journal of Mathematic, Volume 3 No. 1 (2015) 75-83.
Yıldız, Ö. G., Karakuş, S. Ö., & Hacısalihoğlu, 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, 9(1), 62-69. https://doi.org/10.36890/iejg.591892
AMA
Yıldız ÖG, Karakuş SÖ, Hacısalihoğlu HH. A New Approach about the Determination of a Developable Spherical Orthotomic Ruled Surface in R(1,3). Int. Electron. J. Geom. April 2016;9(1):62-69. doi:10.36890/iejg.591892
Chicago
Yıldız, Ö. Gökmen, Sıddıka Ö. Karakuş, and H. Hilmi Hacısalihoğlu. “A New Approach about the Determination of a Developable Spherical Orthotomic Ruled Surface in R(1,3)”. International Electronic Journal of Geometry 9, no. 1 (April 2016): 62-69. https://doi.org/10.36890/iejg.591892.
EndNote
Yıldız ÖG, Karakuş SÖ, Hacısalihoğlu HH (April 1, 2016) A New Approach about the Determination of a Developable Spherical Orthotomic Ruled Surface in R(1,3). International Electronic Journal of Geometry 9 1 62–69.
IEEE
Ö. G. Yıldız, S. Ö. Karakuş, and H. H. Hacısalihoğlu, “A New Approach about the Determination of a Developable Spherical Orthotomic Ruled Surface in R(1,3)”, Int. Electron. J. Geom., vol. 9, no. 1, pp. 62–69, 2016, doi: 10.36890/iejg.591892.
ISNAD
Yıldız, Ö. Gökmen et al. “A New Approach about the Determination of a Developable Spherical Orthotomic Ruled Surface in R(1,3)”. International Electronic Journal of Geometry 9/1 (April 2016), 62-69. https://doi.org/10.36890/iejg.591892.
JAMA
Yıldız ÖG, Karakuş SÖ, Hacısalihoğlu HH. A New Approach about the Determination of a Developable Spherical Orthotomic Ruled Surface in R(1,3). Int. Electron. J. Geom. 2016;9:62–69.
MLA
Yıldız, Ö. Gökmen et al. “A New Approach about the Determination of a Developable Spherical Orthotomic Ruled Surface in R(1,3)”. International Electronic Journal of Geometry, vol. 9, no. 1, 2016, pp. 62-69, doi:10.36890/iejg.591892.
Vancouver
Yıldız ÖG, Karakuş SÖ, Hacısalihoğlu HH. A New Approach about the Determination of a Developable Spherical Orthotomic Ruled Surface in R(1,3). Int. Electron. J. Geom. 2016;9(1):62-9.