Research Journal of Engineering and Technology

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


Affiliations
1 P.G. Department of Mathematics, D. A. V. College, Amritsar -143001, India
     

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

Abstract Views: 353  |  PDF Views: 5

Authors

Ashu Vij
P.G. Department of Mathematics, D. A. V. College, Amritsar -143001, India

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.