BibTex RIS Kaynak Göster

Some Special Types of Developable Ruled Surface ABSTRACT | FULL TEXT

Yıl 2010, Cilt: 39 Sayı: 3, - 6, 01.03.2010

Kaynakça

  • Chen, B. Y. When does the position vector of a space curve always lie in its rectifying plane?, Am. Math Monthly 110, 147–152, 2003.
  • Eisenhart, L. P. A Treatise on the Differential Geometry of Curves and Surfaces (Dover Pub. Inc., New York, 1909).
  • Gluck, H. Higher curvatures of curves in Euclidean space, Am. Math. Monthly 73, 699–704, Gray, A. Modern Differential Geometry of Curves and Surfaces (CRC Press, Boca Raton, FL, ). Gursoy, O. Some results on closed ruled surfaces and closed space curves, Mech. Mach. Theory , 323–330, 1990.
  • Hacısaliho˘glu, H. H. Diferensiyel Geometri (Gazi ¨Universitesi Basın-Yayın Y¨uksekokulu Basımevi, Ankara, 1983) (In Turkish).
  • Izumiya, S. and Takeuchi, N. New special curves and developable surfaces, Turkish J. Math. 28, –163, 2004.
  • Izumiya, S. and Takeuchi, N. Special curves and ruled surfaces, Cont. to Alg. and Geo. 44, –212, 2003.
  • Izumiya, S. and Takeuchi, N. Geometry of Ruled Surfaces (Applicable mathematics in the Goldon Age (ed. J. C. Misra), 305–308, Narosa Pulishing House, New Delhi, 2003).
  • Izumiya, S., Katsumi, H. and Yamashi, T. The rectifying developable and spherical Darboux image of a space curve, Geom. and Top. of caustics - Caustics’98 Banach Center Publications , 137–149, 1999.
  • Koenderink, J. Solid Shape (MIT Press, Cambridge MA, 1990).
  • Laugwitz, D. Differential and Riemannian Geometry (Academic Press, New York, 1965).
  • Monterde, J. Curves with constant curvatures ratios, arXiv:math/0412323v1.
  • Ozyilmaz, E. and Yayli, Y. On the closed space-like developable ruled surface, Hadronic J. 23 (4), –456, 2000.
  • Uribe-Vargas, R. On vertices, focal curvatures and differential geometry of space curves, Bull. Brazilian Math. Soc. 36 (3), 285–307, 2005.

Some Special Types of Developable Ruled Surface ABSTRACT | FULL TEXT

Yıl 2010, Cilt: 39 Sayı: 3, - 6, 01.03.2010

Kaynakça

  • Chen, B. Y. When does the position vector of a space curve always lie in its rectifying plane?, Am. Math Monthly 110, 147–152, 2003.
  • Eisenhart, L. P. A Treatise on the Differential Geometry of Curves and Surfaces (Dover Pub. Inc., New York, 1909).
  • Gluck, H. Higher curvatures of curves in Euclidean space, Am. Math. Monthly 73, 699–704, Gray, A. Modern Differential Geometry of Curves and Surfaces (CRC Press, Boca Raton, FL, ). Gursoy, O. Some results on closed ruled surfaces and closed space curves, Mech. Mach. Theory , 323–330, 1990.
  • Hacısaliho˘glu, H. H. Diferensiyel Geometri (Gazi ¨Universitesi Basın-Yayın Y¨uksekokulu Basımevi, Ankara, 1983) (In Turkish).
  • Izumiya, S. and Takeuchi, N. New special curves and developable surfaces, Turkish J. Math. 28, –163, 2004.
  • Izumiya, S. and Takeuchi, N. Special curves and ruled surfaces, Cont. to Alg. and Geo. 44, –212, 2003.
  • Izumiya, S. and Takeuchi, N. Geometry of Ruled Surfaces (Applicable mathematics in the Goldon Age (ed. J. C. Misra), 305–308, Narosa Pulishing House, New Delhi, 2003).
  • Izumiya, S., Katsumi, H. and Yamashi, T. The rectifying developable and spherical Darboux image of a space curve, Geom. and Top. of caustics - Caustics’98 Banach Center Publications , 137–149, 1999.
  • Koenderink, J. Solid Shape (MIT Press, Cambridge MA, 1990).
  • Laugwitz, D. Differential and Riemannian Geometry (Academic Press, New York, 1965).
  • Monterde, J. Curves with constant curvatures ratios, arXiv:math/0412323v1.
  • Ozyilmaz, E. and Yayli, Y. On the closed space-like developable ruled surface, Hadronic J. 23 (4), –456, 2000.
  • Uribe-Vargas, R. On vertices, focal curvatures and differential geometry of space curves, Bull. Brazilian Math. Soc. 36 (3), 285–307, 2005.
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Birincil Dil Türkçe
Bölüm Matematik
Yazarlar

P. Alegre Bu kişi benim

K. Arslan Bu kişi benim

A. Carriazo Bu kişi benim

C. Murathan Bu kişi benim

G. Öztürk Bu kişi benim

Yayımlanma Tarihi 1 Mart 2010
Yayımlandığı Sayı Yıl 2010 Cilt: 39 Sayı: 3

Kaynak Göster

APA Alegre, P., Arslan, K., Carriazo, A., Murathan, C., vd. (2010). Some Special Types of Developable Ruled Surface ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics, 39(3), 6.
AMA Alegre P, Arslan K, Carriazo A, Murathan C, Öztürk G. Some Special Types of Developable Ruled Surface ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics. Mart 2010;39(3):6.
Chicago Alegre, P., K. Arslan, A. Carriazo, C. Murathan, ve G. Öztürk. “Some Special Types of Developable Ruled Surface ABSTRACT | FULL TEXT”. Hacettepe Journal of Mathematics and Statistics 39, sy. 3 (Mart 2010): 6.
EndNote Alegre P, Arslan K, Carriazo A, Murathan C, Öztürk G (01 Mart 2010) Some Special Types of Developable Ruled Surface ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics 39 3 6.
IEEE P. Alegre, K. Arslan, A. Carriazo, C. Murathan, ve G. Öztürk, “Some Special Types of Developable Ruled Surface ABSTRACT | FULL TEXT”, Hacettepe Journal of Mathematics and Statistics, c. 39, sy. 3, s. 6, 2010.
ISNAD Alegre, P. vd. “Some Special Types of Developable Ruled Surface ABSTRACT | FULL TEXT”. Hacettepe Journal of Mathematics and Statistics 39/3 (Mart 2010), 6.
JAMA Alegre P, Arslan K, Carriazo A, Murathan C, Öztürk G. Some Special Types of Developable Ruled Surface ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics. 2010;39:6.
MLA Alegre, P. vd. “Some Special Types of Developable Ruled Surface ABSTRACT | FULL TEXT”. Hacettepe Journal of Mathematics and Statistics, c. 39, sy. 3, 2010, s. 6.
Vancouver Alegre P, Arslan K, Carriazo A, Murathan C, Öztürk G. Some Special Types of Developable Ruled Surface ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics. 2010;39(3):6.