Document Details

Document Type : Thesis 
Document Title :
THE GEOMETRY AND SINGULARITIES OF RULED SURFACES IN R^3
هندسة و تفردات السطوح المسطرة في R^3
 
Subject : Faculty of Sciences 
Document Language : Arabic 
Abstract : In this thesis, we firstly define two developable ruled surfaces and two non-developable ruled surfaces by using the spherical indicatrices T, N, and B of a regular space curve and study the elementary differential geometry of these surfaces. Also, we investigate the singularities of them and give the geometric conditions for their singularities. Finally, two developable ruled surfaces are introduced by using the spherical indicatrices T and B of a regular space curve. Moreover, the elementary differential geometry and the singularities of these surfaces are studied in details. The criteria for a helix and a slant helix curves regard to the image of the singular set of such surfaces is also presented in this thesis. 
Supervisor : Dr. Azeb Alghanemi 
Thesis Type : Master Thesis 
Publishing Year : 1439 AH
2018 AD 
Added Date : Sunday, May 27, 2018 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
سعد بريك العوفيAloufi, Saad BuraykResearcherMaster 

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