2013 · 29 citations · 5 references
Natural SciencesMathematicsGeometric ModelingGeometryAlgebraic GeometryCurve ModelingDifferential GeometryEuclidean GeometryGeometry ProcessingThree-dimensional GeometryCoordinate Geometry Of SpaceCurve IntersectionCurve RepresentationDifferential Geometry Of CurvesSurfaces In Three-dimensional SpaceThree-dimensional Coordinate Geometry
In this paper, we study associated curves in the Euclidean 3- space by utilizing the Bishop frame. Moreover, we de…ne new curves called M1 Direction Curve, M2 Direction Curve, M1 Donor Curve, M2-Donor Curve. Finally, we charcterize new associated curves according to Bishop frame.
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Bertrand Curves Associated with a Pair of Curves
John F. Burke · Mathematics Magazine · 1960 · 36 citations