A Curve Satisfying t/K=s with Constant K>0

Yun Myung Oh; Ye Lim Seo

A Curve Satisfying t/K=s with Constant K>0

Yun Myung Oh, Ye Lim Seo

Department of Mathematics

Andrews University

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

Abstract

In the present paper, we investigate a space curve in which the curvature is constant and the torsion is a linear function. The aim of this paper is to find an explicit formula for this space curve when the ratio of the torsion to the curvature is a linear function when the curvature is constant.

Original language	American English
Pages (from-to)	57-62
Journal	American Journal of Undergraduate Research
Volume	12
Issue number	2
State	Published - Jan 2015

Keywords

Space Curve
Curvature
Torsion
General Helix
Frenet Frame
Series Solution
Rectifying Curve

Disciplines

Mathematics

Access to Document

A Curve Satisfying t K s with Constant K 0Final published version, 346 KBLicense: Unspecified

Cite this

@article{176867a614424b8bb9386298bd750146,

title = "A Curve Satisfying t/K=s with Constant K>0",

abstract = "In the present paper, we investigate a space curve in which the curvature is constant and the torsion is a linear function. The aim of this paper is to find an explicit formula for this space curve when the ratio of the torsion to the curvature is a linear function when the curvature is constant.",

keywords = "Space Curve, Curvature, Torsion, General Helix, Frenet Frame, Series Solution, Rectifying Curve",

author = "Oh, \{Yun Myung\} and Seo, \{Ye Lim\}",

year = "2015",

month = jan,

language = "American English",

volume = "12",

pages = "57--62",

journal = "American Journal of Undergraduate Research",

issn = "1536-4585",

number = "2",

}

TY - JOUR

T1 - A Curve Satisfying t/K=s with Constant K>0

AU - Oh, Yun Myung

AU - Seo, Ye Lim

PY - 2015/1

Y1 - 2015/1

N2 - In the present paper, we investigate a space curve in which the curvature is constant and the torsion is a linear function. The aim of this paper is to find an explicit formula for this space curve when the ratio of the torsion to the curvature is a linear function when the curvature is constant.

AB - In the present paper, we investigate a space curve in which the curvature is constant and the torsion is a linear function. The aim of this paper is to find an explicit formula for this space curve when the ratio of the torsion to the curvature is a linear function when the curvature is constant.

KW - Space Curve

KW - Curvature

KW - Torsion

KW - General Helix

KW - Frenet Frame

KW - Series Solution

KW - Rectifying Curve

UR - https://digitalcommons.andrews.edu/pubs/30

M3 - Article

SN - 1536-4585

VL - 12

SP - 57

EP - 62

JO - American Journal of Undergraduate Research

JF - American Journal of Undergraduate Research

IS - 2

ER -

A Curve Satisfying t/K=s with Constant K>0

Abstract

Keywords

Disciplines

Access to Document

Other files and links

Cite this