SIMILAR RULED SURFACES WITH VARIABLE TRANSFORMATIONS IN THE EUCLIDEAN 3-SPACE E^3

Abstract

In this study, we define a family of ruled surfaces in the Euclidean3-space E3and called similar ruled surfaces. We obtain some properties ofthese special surfaces and we show that developable ruled surfaces form afamily of similar ruled surfaces if and only if the striction curves of the surfacesare similar curves with variable transformation

Keywords

• Ruled surface,Frenet frame; similar curves

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