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A CANAL SURFACE CONTAINING FOUR STRAIGHT LINES
Journal of Industrial Design and Engineering GraphicsA canal surface is the envelope of spheres with centers traversing a spatial curve called spine curve. The spheres contact the envelope along so-called characteristics, which are circles in general.
Hellmuth STACHEL
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Towards the curvature cuff of a canal surface
, 1998 A canal surface is the envelope of a family of spheres, whose centers move on a curve while their radii vary. By means of a stereographic mapping, a sphere corresponds to a point in 4-space. The canal surface then corresponds to a curve in 4-space.
Mueller, Andreas
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Geometric Characterizations of Canal Surfaces in Minkowski 3-Space
Mathematics, 2019 Canal surfaces are defined and divided into nine types in Minkowski 3-space E 1 3 , which are obtained as the envelope of a family of pseudospheres S 1 2 , pseudohyperbolic spheres H 0 2 , or lightlike cones Q 2 , whose ...
Jinhua Qian +3 more
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Management of the Interrelationship between Surface Water Quality and Drinking Water Production Process [PDF]
Journal of Engineering Research - Egypt, 2022 The rapid growth of the population in Egypt has made an impact on the portable water demand, which requires exploration of raw water sources, developing treatment and distribution systems.
Mohamed Hamed
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Dental Hypotheses, 2023 Introduction: In this study, we aimed to evaluate the impact of ultraconservative and traditional endodontic access cavities on the total percentage increase in the surface area of root canals.
Hayder Abdul-Jaleel Jaleo +1 more
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Symbolic parametrization of pipe and canal surfaces [PDF]
Proceedings of the 2000 international symposium on Symbolic and algebraic computation, 2000 A canal surface S, generated by a parametrized curve m(t), in R3 is the envelope of the set of spheres with radius r(t) centered at m(t). This concept generalizes the classical offsets (for r(t) = const) of plane curves. In this paper we develop elementary symbolic methods for generating a rational parametrization of canal surfaces generated by ...
Günter Landsmann +3 more
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Direct numerical simulation of unsheared turbulence diffusing toward a free-slip or no-slip surface [PDF]
, 2010 The physics involved in the interaction between statistically steady, shearless turbulence and a blocking surface is investigated with the aid of direct numerical simulation. The original conguration introduced by Campagne et al.
Bodart, Julien +5 more
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International Journal of Applied Earth Observations and Geoinformation, 2023 Surface monitoring of artificial canals is essential to ensure safe operation. Traditional geodetic tools are commonly employed to monitor the canal of China’s South-to-North Water Diversion Project (SNWDP), which is time-consuming and high-cost.
Nan Wang +5 more
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Journal of Functional Biomaterials, 2023 The aim of this study was to investigate the antimicrobial efficacy of different disinfection protocols in a novel Enterococcus faecalis biofilm model based on a visualization method and to evaluate the potential alteration of dentinal surface.
Maria Dede +5 more
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Water Science, 2023 This study utilized the Slide2 model to simulate surface water and groundwater interactions and estimate seepage losses from unlined and lined irrigation canals.
Mohamed Galal Eltarabily +3 more
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