An Approach for Designing a Developable Surface with a Common Geodesic Curve
نویسندگان
چکیده
This paper presents an approach for designing a developable surface possessing a given curve as the geodesic of it. We analyze the necessary and sufficient conditions when the resulting developable surface is a cylinder, cone or tangent surface. Also, we solve the problem of requiring the surfaces of revolution which are developable surfaces. Finally, we illustrate the convenience and efficiency of this approach by some representative examples. Mathematics Subject Classification: 53A04, 53A05, 53A17
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