Ruled Surfaces with Stationary Width in Euclidean 3-Space E3

Maryam T. Aldossary; Rashad A. Abdel-Baky

doi:10.18576/AMIS/170308

Ruled Surfaces with Stationary Width in Euclidean 3-Space E³

Maryam T. Aldossary^*
, Rashad A. Abdel-Baky

^*Corresponding author for this work

Mathematics Department

Assiut University

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we define and study pairs of ruled surfaces in Euclidean 3-space E³, which have the following properties: Their bases curves are stationary width curves, and the corresponding rulings are parallels. Then, we find the condition of general helix as stationary width curve and construct ruled surfaces with stationary width.

Original language	English
Pages (from-to)	469-474
Number of pages	6
Journal	Applied Mathematics and Information Sciences
Volume	17
Issue number	3
DOIs	https://doi.org/10.18576/AMIS/170308
State	Published - 2023

Keywords

Constant breadth
Distribution parameter
General helix

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@article{9a83f814df024729b62f7ea430066e23,

title = "Ruled Surfaces with Stationary Width in Euclidean 3-Space E3",

abstract = "In this paper, we define and study pairs of ruled surfaces in Euclidean 3-space E3, which have the following properties: Their bases curves are stationary width curves, and the corresponding rulings are parallels. Then, we find the condition of general helix as stationary width curve and construct ruled surfaces with stationary width.",

keywords = "Constant breadth, Distribution parameter, General helix",

author = "Aldossary, \{Maryam T.\} and Abdel-Baky, \{Rashad A.\}",

note = "Publisher Copyright: {\textcopyright} 2023 NSP Natural Sciences Publishing Cor",

year = "2023",

doi = "10.18576/AMIS/170308",

language = "English",

volume = "17",

pages = "469--474",

journal = "Applied Mathematics and Information Sciences",

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TY - JOUR

T1 - Ruled Surfaces with Stationary Width in Euclidean 3-Space E3

AU - Aldossary, Maryam T.

AU - Abdel-Baky, Rashad A.

PY - 2023

Y1 - 2023

N2 - In this paper, we define and study pairs of ruled surfaces in Euclidean 3-space E3, which have the following properties: Their bases curves are stationary width curves, and the corresponding rulings are parallels. Then, we find the condition of general helix as stationary width curve and construct ruled surfaces with stationary width.

AB - In this paper, we define and study pairs of ruled surfaces in Euclidean 3-space E3, which have the following properties: Their bases curves are stationary width curves, and the corresponding rulings are parallels. Then, we find the condition of general helix as stationary width curve and construct ruled surfaces with stationary width.

KW - Constant breadth

KW - Distribution parameter

KW - General helix

UR - https://www.scopus.com/pages/publications/85163859964

U2 - 10.18576/AMIS/170308

DO - 10.18576/AMIS/170308

M3 - Article

AN - SCOPUS:85163859964

SN - 1935-0090

VL - 17

SP - 469

EP - 474

JO - Applied Mathematics and Information Sciences

JF - Applied Mathematics and Information Sciences

IS - 3

ER -

Ruled Surfaces with Stationary Width in Euclidean 3-Space E³

Abstract

Keywords

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