In this paper, explicit expressions were improved for timelike ruled surfaces with the similarity of hyperbolic dual spherical movements. From this, well known Hamilton and Mannhiem formulae theory are attained at line space. Then, by employing E. Study map, a new Plücker conoid is immediately founded its geometrical properties examined. addition, via height function, we specified connection am...

This paper deals with a kind of design of a ruled surface. It combines concepts from the fields of computer aided geometric design and kinematics. A dual unit spherical Bézierlike curve on the dual unit sphere (DUS) is obtained with respect the control points by a new method. So, with the aid of Study [1] transference principle, a dual unit spherical Bézier-like curve corresponds to a ruled sur...

Geometry of algebraic surfaces is a classical and beautiful theory. It was developed first by the great Italian geometers. The culmination of their efforts was the Enriques classification of complex projective surfaces. In this talk we outline a possible approach to this classification. Surfaces can be divided into classes according to their Kodaira dimension. Surfaces of negative Kodaira dimen...