Zobrazeno 1 - 10
of 72
pro vyhledávání: '"striction curve"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 4, Pp 9867-9883 (2024)
In this treatise, several relationships are improved for the axodes of one-parameter spatial movements. Results are devised in some theorems which characterize many kinematical and geometrical properties of the movements employing the geometrical dat
Externí odkaz:
https://doaj.org/article/bb503ff75f5145e69d098f025dccbd26
Autor:
Fatemah Mofarreh, Rashad A. Abdel-Baky
Publikováno v:
AIMS Mathematics, Vol 8, Iss 4, Pp 7840-7855 (2023)
This paper derives the expressions for spacelike ruled surfaces with stationary Disteli-axis by means of the E. Study map. This provides the ability to compute a set of Lorentzian curvature functions which define the local shape of spacelike ruled su
Externí odkaz:
https://doaj.org/article/1142434afdc349ba86398ce80332a312
Publikováno v:
Axioms, Vol 12, Iss 10, p 989 (2023)
In this paper, we have parameterized a timelike (Tlike) circular surface (CIsurface) and have obtained its geometric properties, including striction curves, singularities, Gaussian and mean curvatures. Afterward, the situation for a Tlike roller coas
Externí odkaz:
https://doaj.org/article/ccd168af26124b0ca936adfdb5434939
Autor:
Sahar H. Nazra, Rashad A. Abdel-Baky
Publikováno v:
Axioms, Vol 12, Iss 7, p 649 (2023)
Dual representations of the Bertrand offset-surfaces are specified and several new results are gained in terms of their integral invariants. A new description of Bertrand offsets of developable surfaces is given. Furthermore, several relationships th
Externí odkaz:
https://doaj.org/article/b13cd724a9b54ca59a5ae6eb7808cb6f
Publikováno v:
Symmetry, Vol 15, Iss 5, p 998 (2023)
This paper derives the declarations for timelike ruled surfaces with stationary timelike Disteli-axis by the E. Study map. This prepares the ability to determine a set of Lorentzian invariants which explain the local shape of timelike ruled surfaces.
Externí odkaz:
https://doaj.org/article/2d830fcd086749d0b7dc7e6dff771ff9
Publikováno v:
Symmetry, Vol 15, Iss 4, p 842 (2023)
The aim of the paper is on spacelike circular surfaces and singularities in Minkowski 3-space E13. A spacelike circular surface with a stationary radius can be swept out by movable a Lorentzian circle following a non-null curve, which acts as the spi
Externí odkaz:
https://doaj.org/article/f61c71548c2e4b039dd02573d2d1fd5b
Autor:
Fatemah Mofarreh, Rashad A. Abdel-Baky
Publikováno v:
Symmetry, Vol 15, Iss 4, p 902 (2023)
In this paper, explicit expressions were improved for timelike ruled surfaces with the similarity of hyperbolic dual spherical movements. From this, the well known Hamilton and Mannhiem formulae of surfaces theory are attained at the hyperbolic line
Externí odkaz:
https://doaj.org/article/01da8423aa614344869b4de5aec71ea0
Akademický článek
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Akademický článek
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Publikováno v:
Symmetry, Vol 15, Iss 1, p 173 (2023)
The approach of the paper is on spacelike circular surfaces in the Minkowski 3-space. A spacelike circular surface is a one-parameter family of Lorentzian circles with a fixed radius regarding a non-null curve, which acts as the spine curve, and it h
Externí odkaz:
https://doaj.org/article/88e8951391374ab8921bd2f9ce8399d6