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RESEARCH JOURNAL OF ENGINEERING AND TECHNOLOGY
Year : 2017, Volume : 8, Issue : 2
First page : ( 122) Last page : ( 124)
Print ISSN : 0976-2973. Online ISSN : 2321-581X.
Article DOI : 10.5958/2321-581X.2017.00018.6

A mathematical analysis of locus of centre of circular curvature of a helix

Vij Ashu

P.G. Department of Mathematics, D. A. V. College, Amritsar-143001 Email: ashu_davasr@yahoo.co.in

Online published on 22 September, 2017.

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.

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Keywords

Locus, Centre of circular curvature, Helix, Circular helix, Pitch, Osculating circle.

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