Results 11 to 20 of about 10,072,628 (333)

Ruled surfaces with timelike rulings

Applied Mathematics and Computation, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nassar H. Abdel-All, Rashad A. Abdel-Baky, Fathi M. Hamdoon   +2 more
openaire   +2 more sources

On rectifying ruled surfaces

Kuwait Journal of Science, 2020
In this study, we define general rectifying ruled surfaces in the Euclidean 3-space E^3. We give some characterizations of rectifying ruled surfaces by considering the curvatures of base curve.
Mehmet Önder, Tanju Kahraman
doaj   +3 more sources

Revisiting the μ-basis of a rational ruled surface

Journal of Symbolic Computation, 2003
The μ-basis of a rational ruled surface P(s, t) = P0(s +tP1 (s) is defined in Chen et al. (Comput. Aided Geom. Design 18 (2001) 61) to consist of two polynomials p(x, y, z, s) and q(x, y, z, s) that are linear in x, y, z.
Falai Chen, Wenping Wang
exaly   +2 more sources

On the determination of a developable spherical orthotomic ruled surface

, 2015
In this paper, a method for determination of developable spherical orthotomic ruled surfaces is given by using dual vector calculus. We show that dual vectorial expression of a developable spherical orthotomic ruled surface can be obtained from ...
Ö. G. Yıldız, S. O. Karakuş, H. H. Hacisalihoglu   +2 more
semanticscholar   +2 more sources

Dual Darboux Frame of a Timelike Ruled Surface and Darboux Approach to Mannheim Offsets of Timelike Ruled Surfaces

, 2011
In this paper, we introduce the dual geodesic trihedron (dual Darboux frame) of a timelike ruled surface. By the aid of the E. Study Mapping, we consider timelike ruled surfaces as dual hyperbolic spherical curves and define the Mannheim offsets of ...
M. Önder, H. Uğurlu
semanticscholar   +2 more sources

Fabricable Discretized Ruled Surfaces

ACM Transactions on Graphics
We present a method to automatically approximate a given surface with a small set of patches, each being a developable ruled surface featuring long-ruling lines. These construction primitives are attractive for their inherent ease of fabrication by cutting and folding inextensible materials and for their favo rable structural properties.
Hassan Baharami, Michal Piovarci, Marco Tarini, Bernd Bickel, Nico Pietroni   +4 more
openaire   +3 more sources

Constant Angle Ruled Surfaces Associated with Slant Ruled Surfaces

Frontiers of Mathematics
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Kaya O.
openaire   +2 more sources

Characteristic properties of the ruled surface with Darboux frame in E^3

Kuwait Journal of Science, 2015
In this study, the ruled surface with Darboux frame is defined. Then, the ruled surfacescharacteristic properties which are related to the geodesic curvature, the normal curvature andthe geodesic torsion are investigated. The relation between the Darboux
GÜLSÜM YELİZ ŞENTÜRK, SALİM YÜCE
doaj   +1 more source

ON THE DETERMINATION OF A DEVELOPABLE TIMELIKE RULED SURFACE

Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009
: This paper gives a method for determining a developable timelike ruled surface by using dual vector calculus. A developable timelike ruled surface can be parameterized in the form m(t, u) =p(t) +u x(t) ( p(t) is called the base curve of m(t, u)).
Mustafa KAZAZ
doaj   +1 more source

Generalized normal ruled surface of a curve in the Euclidean 3-space [PDF]

Acta Universitatis Sapientiae: Mathematica, 2020
In this study, we define the generalized normal ruled surface of a curve in the Euclidean 3-space E3. We study the geometry of such surfaces by calculating the Gaussian and mean curvatures to determine when the surface is flat or minimal (equivalently ...
O. Kaya, M. Önder
semanticscholar   +1 more source