Published January 1, 2016
| Version v1
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Surface family with a common involute asymptotic curve
Creators
- 1. Ondokuz Mayis Univ, Fac Arts & Sci, Dept Math, TR-55200 Samsun, Turkey
- 2. Ondokuz Mayis Univ, Fac Educ, Dept Math, TR-55200 Samsun, Turkey
Description
We construct a surface family possessing an involute of a given curve as an asymptotic curve. We express necessary and sufficient conditions for that curve with the above property. We also present natural results for such ruled surfaces. Finally, we illustrate the method with some examples, e.g. circles and helices as given curves.
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