Volume No. :   8

Issue No. :  2

Year :  2017

ISSN Print :  0976-2973

ISSN Online :  2321-581X


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A Mathematical Analysis of Locus of Centre of Circular Curvature of a Helix



Address:   Ashu Vij
Assistant Professor, P.G. Department of Mathematics, D. A. V. College, Amritsar -143001
*Corresponding Author
DOI No: 10.5958/2321-581X.2017.00018.6

ABSTRACT:
In this paper, a review of formation of helix is made using some basic concepts of differential geometry. A mathematical analysis of locus of centre of circular curvature is made. An alternative mathematical analysis using differential geometry is made of the fact that the locus of centre of osculating circle of a circular helix is again a circular helix coaxial with the former and with same pitch.
KEYWORDS:
locus, centre of circular curvature, helix, circular helix, pitch, osculating circle.
Cite:
Ashu Vij. A Mathematical Analysis of Locus of Centre of Circular Curvature of a Helix. Research J. Engineering and Tech. 2017; 8(2): 122-124.
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