WñLINE CONGRUENCES

abdel-baky, rashadd; TAS, FERHAT

doi:10.31801/cfsuasmas.550369

WñLINE CONGRUENCES

Rashad A. ABDEL BAKY, (Department of Mathematics, Sciences Faculty for Girls, King Abdulaziz University, P.O. Box 126300, Jeddah, Saudi Arabia, Department of Math- ematics, Faculty of Science, University of Assiut, Assiut, Egypt)

Ferhat TAŞ (İstanbul Üniversitesi, Fen Fakültesi, Matematik Bölümü, İstanbul, Türkiye)

Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics

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Yıl: 2020 Cilt: 69 Sayı: 1 Sayfa Aralığı: 450 - 460 Metin Dili: İngilizce DOI: 10.31801/cfsuasmas.550369 İndeks Tarihi: 30-10-2023

WñLINE CONGRUENCES

Öz:

By utilizing the Darboux frames, along with a regular surface whose parametric curves are lines of curvature, we analyzed the normal line congruence which preserves the asymptotic curves between its focal surfaces. This allows deriving systems of partial di§erential equations through which the problem of determining the director surface and the corresponding normal line congruence could be solved. Moreover, a necessary and su¢ cient condition that the focal surfaces of the normal line congruence are degenerates into curves is derived. As a result the middle focal surface of the normal line congruence is presented as a new surface interrogation tool.

Anahtar Kelime: Lines of curvature W-line congruence area preserving representation

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	abdel-baky r, TAS F (2020). WñLINE CONGRUENCES. , 450 - 460. 10.31801/cfsuasmas.550369
Chicago	abdel-baky rashadd,TAS FERHAT WñLINE CONGRUENCES. (2020): 450 - 460. 10.31801/cfsuasmas.550369
MLA	abdel-baky rashadd,TAS FERHAT WñLINE CONGRUENCES. , 2020, ss.450 - 460. 10.31801/cfsuasmas.550369
AMA	abdel-baky r,TAS F WñLINE CONGRUENCES. . 2020; 450 - 460. 10.31801/cfsuasmas.550369
Vancouver	abdel-baky r,TAS F WñLINE CONGRUENCES. . 2020; 450 - 460. 10.31801/cfsuasmas.550369
IEEE	abdel-baky r,TAS F "WñLINE CONGRUENCES." , ss.450 - 460, 2020. 10.31801/cfsuasmas.550369
ISNAD	abdel-baky, rashadd - TAS, FERHAT. "WñLINE CONGRUENCES". (2020), 450-460. https://doi.org/10.31801/cfsuasmas.550369

APA	abdel-baky r, TAS F (2020). WñLINE CONGRUENCES. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 69(1), 450 - 460. 10.31801/cfsuasmas.550369
Chicago	abdel-baky rashadd,TAS FERHAT WñLINE CONGRUENCES. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 69, no.1 (2020): 450 - 460. 10.31801/cfsuasmas.550369
MLA	abdel-baky rashadd,TAS FERHAT WñLINE CONGRUENCES. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.69, no.1, 2020, ss.450 - 460. 10.31801/cfsuasmas.550369
AMA	abdel-baky r,TAS F WñLINE CONGRUENCES. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2020; 69(1): 450 - 460. 10.31801/cfsuasmas.550369
Vancouver	abdel-baky r,TAS F WñLINE CONGRUENCES. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2020; 69(1): 450 - 460. 10.31801/cfsuasmas.550369
IEEE	abdel-baky r,TAS F "WñLINE CONGRUENCES." Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 69, ss.450 - 460, 2020. 10.31801/cfsuasmas.550369
ISNAD	abdel-baky, rashadd - TAS, FERHAT. "WñLINE CONGRUENCES". Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 69/1 (2020), 450-460. https://doi.org/10.31801/cfsuasmas.550369