Siacci's Theorem According to Darboux Frame

[1] F. Siacci, Moto per una linea gobba. Atti R Accad Sci. Torino 14 (1879), 946-951.Search in Google Scholar

[2] B. O'Neil, Elemantary Differential Geometry. Academic Press, Newyork, 1966.Search in Google Scholar

[3] S. P. Radzevich, Geometry of Surfaces: A practical Guide for Mechan- ical Engineers. Wiley, 2013.10.1002/9781118522707Search in Google Scholar

[4] J. Casey, Siacci's Resolution of the Acceleration Vector for a Space Curve. Meccanica 46 (2011), 471-476 DOI:10.1007/s11012-010-9296-x.10.1007/s11012-010-9296-xOpen DOISearch in Google Scholar

[5] E. T. Whittaker, A Treatise on the Analytical Dynamics of Particles and Rigid Bodies. 4th Edition, Cambridge University Press, 1944.Search in Google Scholar

[6] N. Grossman, The Sheer Joy of Celestial Mechanics. Birkhauser, Basel, 1996.10.1007/978-1-4612-4090-7Search in Google Scholar

[7] M.Y. Y_lmaz, M. Bektaş and Z. Küçükarslan, Siacci's Theorem for Curves in Finsler Manifold F3. Turkish Journal of Science and Tech- nology 7(2) (2012), 181-185.Search in Google Scholar

[8] T. Shifrin, Differential Geometry: A First Course in Curves and Sur- faces. University of Georgia, Preliminary Version, 2008.Search in Google Scholar

[9] F. Do g̃̃an and Y. Yayli, Tubes with Darboux Frame. Int. J. Contemp. Math. Sciences 7(16) (2012), 751-758.Search in Google Scholar

[10] F. Do g̃an, Generalized Canal Surfaces. Ankara University, Graduate School of Natural and Applied Sciences, Ankara, Ph.D. Thesis, 2012.Search in Google Scholar

[11] Ö. Bektaş and S. Yüce, Special Smarandache Curves According to Darboux Frame in E3. Romanian Journal of Mathematics and Computer Science 3(1) (2013), 48-59.Search in Google Scholar