Abstract

On the second order involute curves in E3

Highlights

  • In this study we worked on the involute of involute curve of curve

  • Further we show that; Frenet vector ...elds of the second order involute curve 2 can be written based on the principal normal vector ...eld of curve

  • It is easy to say that Frenet vectors of the second order involute on the Frenet apparatus of the curve 1 are

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Summary

Introduction

We called them the second order involute of curve in E3. All Frenet apparatus of the second order involute of curve are examined in terms of Frenet apparatus of the curve . Further we show that; Frenet vector ...elds of the second order involute curve 2 can be written based on the principal normal vector ...eld of curve . 2 has the parametrization with arclength s as the involute curve of 1 (s), we can give the following de...nitions in terms of the parameter s.

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