Smarandache Curves for Spherical Indicatrix of the Bertrand Curves Pair

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 13 pages
Book Rating : 4./5 ( download)

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Book Synopsis Smarandache Curves for Spherical Indicatrix of the Bertrand Curves Pair by : Suleyman Senyurt

Download or read book Smarandache Curves for Spherical Indicatrix of the Bertrand Curves Pair written by Suleyman Senyurt and published by Infinite Study. This book was released on with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we investigate special Smarandache curves with regard to Sabban frame for Bertrand partner curve spherical indicatrix. Some results have been obtained. These results were expressed depending on the Bertrand curve. Besides, we are given examples of our results.

Smarandache Curves and Spherical Indicatrices in the Galilean 3-Space

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 13 pages
Book Rating : 4./5 ( download)

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Book Synopsis Smarandache Curves and Spherical Indicatrices in the Galilean 3-Space by : H.S.Abdel-Aziz

Download or read book Smarandache Curves and Spherical Indicatrices in the Galilean 3-Space written by H.S.Abdel-Aziz and published by Infinite Study. This book was released on with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the present paper, Smarandache curves for some special curves in the threedimensional Galilean space G3are investigated. Moreover, spherical indicatrices for the helix as well as circular helix are introduced. Furthermore, some properties for these curves are given. Finally, in the light of this study, some related examples of these curves are provided.

Smarandache Curves in Terms of Sabban Frame of Spherical Indicatrix Curves

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4./5 ( download)

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Book Synopsis Smarandache Curves in Terms of Sabban Frame of Spherical Indicatrix Curves by : Suleyman Senyurt

Download or read book Smarandache Curves in Terms of Sabban Frame of Spherical Indicatrix Curves written by Suleyman Senyurt and published by Infinite Study. This book was released on with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we investigate special Smarandache curves in terms of Sabban frame of spherical indicatrix curves and we give some characterization of Smarandache curves. Besides, we illustrate examples of our results.

Smarandache Curves in Terms of Sabban Frame of Spherical Indicatrix Curves

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4./5 ( download)

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Book Synopsis Smarandache Curves in Terms of Sabban Frame of Spherical Indicatrix Curves by : Suleyman Senyurt

Download or read book Smarandache Curves in Terms of Sabban Frame of Spherical Indicatrix Curves written by Suleyman Senyurt and published by Infinite Study. This book was released on with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we investigate special Smarandache curves in terms of Sabban frame of spherical indicatrix curves and we give some characterization of Smarandache curves. Besides, we illustrate examples of our results.

Spherical Images of Special Smarandache Curves in E3

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4./5 ( download)

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Book Synopsis Spherical Images of Special Smarandache Curves in E3 by : Vahide Bulut

Download or read book Spherical Images of Special Smarandache Curves in E3 written by Vahide Bulut and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this study, we introduce the spherical images of some special Smarandache curves according to Frenet frame and Darboux frame in E3. Besides, we give some differential geometric properties of Smarandache curves and their spherical images.

On The Tangent Indicatrix Of Special Viviani’s Curve And Its Corresponding Smarandache Curves According To Sabban Frame

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4./5 ( download)

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Book Synopsis On The Tangent Indicatrix Of Special Viviani’s Curve And Its Corresponding Smarandache Curves According To Sabban Frame by : Suleyman Senyurt

Download or read book On The Tangent Indicatrix Of Special Viviani’s Curve And Its Corresponding Smarandache Curves According To Sabban Frame written by Suleyman Senyurt and published by Infinite Study. This book was released on 2023-01-01 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: The paper revisits the special Viviani’s curve and introduces some special Smarandache curves according to Sabban frame. First, Frenet-Serret frame is obtained for the curve, second Saban frame is constructed by considering the tangent indicatrix. Then, the Smarandache curves are defined according to Saban frame. Finally, for each Smarandache curve, the geodesic curvatures are calculated and expressed with the principal curvatures of the special Viviani’s curve.

SOME SPECIAL CURVES BELONGING TO MANNHEIM CURVES PAIR

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4./5 ( download)

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Book Synopsis SOME SPECIAL CURVES BELONGING TO MANNHEIM CURVES PAIR by : Süleyman Şenyurt

Download or read book SOME SPECIAL CURVES BELONGING TO MANNHEIM CURVES PAIR written by Süleyman Şenyurt and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we investigate special Smarandache curves with regard to Sabban frame for Mannheim partner curve spherical indicatrix. We created Sabban frame belonging to this curves. It was explained Smarandache curves position vector is consisted by Sabban vectors belonging to this curves. Then, we calculated geodesic curvatures of this Smarandache curves. Found results were expressed depending on the Mannheim curve.

SMARANDACHE CURVES ACCORDING TO BISHOP FRAME IN EUCLIDEAN 3-SPACE

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4./5 ( download)

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Book Synopsis SMARANDACHE CURVES ACCORDING TO BISHOP FRAME IN EUCLIDEAN 3-SPACE by : MUHAMMED CETIN

Download or read book SMARANDACHE CURVES ACCORDING TO BISHOP FRAME IN EUCLIDEAN 3-SPACE written by MUHAMMED CETIN and published by Infinite Study. This book was released on with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we investigate special Smarandache curves according to Bishop frame in Euclidean 3-space and we give some differential geometric properties of Smarandache curves. Also we find the centers of the osculating spheres and curvature spheres of Smarandache curves.

Dual Smarandache Curves and Smarandache Ruled Surfaces

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4./5 ( download)

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Book Synopsis Dual Smarandache Curves and Smarandache Ruled Surfaces by : Tanju KAHRAMAN

Download or read book Dual Smarandache Curves and Smarandache Ruled Surfaces written by Tanju KAHRAMAN and published by Infinite Study. This book was released on with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, by considering dual geodesic trihedron (dual Darboux frame) we define dual Smarandache curves lying fully on dual unit sphere 2 S and corresponding to ruled surfaces. We obtain the relationships between the elements of curvature of dual spherical curve (ruled surface) a (s) and its dual Smarandache curve (Smarandache ruled surface) 1a (s) and we give an example for dual Smarandache curves of a dual spherical curve.

ON THE SABBAN FRAME BELONGING TO INVOLUTE-EVOLUTE CURVES

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4./5 ( download)

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Book Synopsis ON THE SABBAN FRAME BELONGING TO INVOLUTE-EVOLUTE CURVES by : Süleyman ŞENYURT

Download or read book ON THE SABBAN FRAME BELONGING TO INVOLUTE-EVOLUTE CURVES written by Süleyman ŞENYURT and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this article, we investigate special Smarandache curves with regard to Sabban frame of involute curve. We created Sabban frame belonging to spherical indicatrix of involute curve. It was explained Smarandache curves position vector is consisted by Sabban vectors belonging to spherical indicatrix. Then, we calculated geodesic curvatures of this Smarandache curves. The results found for each curve was given depend on evolute curve. The example related to the subject were given and their figures were drawn with Mapple program.

Smarandache Curves of a Spacelike Curve lying on Unit dual Lorentzian Sphere

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 13 pages
Book Rating : 4./5 ( download)

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Book Synopsis Smarandache Curves of a Spacelike Curve lying on Unit dual Lorentzian Sphere by : Tanju Kahraman

Download or read book Smarandache Curves of a Spacelike Curve lying on Unit dual Lorentzian Sphere written by Tanju Kahraman and published by Infinite Study. This book was released on with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we give Darboux approximation for dual Smarandache curves of spacelike curve on unit dual Lorentzian sphere.

Bertrand Curves

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Publisher :
ISBN 13 :
Total Pages : 94 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Bertrand Curves by : William Edom Lattin

Download or read book Bertrand Curves written by William Edom Lattin and published by . This book was released on 1917 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Smarandache curves in Euclidean 4- space E 4

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 4 pages
Book Rating : 4./5 ( download)

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Book Synopsis Smarandache curves in Euclidean 4- space E 4 by : Mervat Elzawy

Download or read book Smarandache curves in Euclidean 4- space E 4 written by Mervat Elzawy and published by Infinite Study. This book was released on with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this paper is to study Smarandache curves in the 4-dimensional Euclidean space E 4 , and to obtain the Frenet–Serret and Bishop invariants for the Smarandache curves in E 4 . The first, the second and the third curvatures of Smarandache curves are calculated. These values depending upon the first, the second and the third curvature of the given curve.

Smarandache Curves of Curves lying on Lightlike Cone in R31

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 9 pages
Book Rating : 4./5 ( download)

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Book Synopsis Smarandache Curves of Curves lying on Lightlike Cone in R31 by : Tanju Kahraman

Download or read book Smarandache Curves of Curves lying on Lightlike Cone in R31 written by Tanju Kahraman and published by Infinite Study. This book was released on with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we consider the notion of the Smarandache curves by considering the asymptotic orthonormal frames of curves lying fully on lightlike cone in Minkowski 3- space R3 1. We give the relationships between Smarandache curves and curves lying on lightlike cone in R31.

On Pseudospherical Smarandache Curves in Minkowski 3-Space

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4./5 ( download)

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Book Synopsis On Pseudospherical Smarandache Curves in Minkowski 3-Space by : Esra Betul Koc Ozturk

Download or read book On Pseudospherical Smarandache Curves in Minkowski 3-Space written by Esra Betul Koc Ozturk and published by Infinite Study. This book was released on with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we define nonnull and nullpseudospherical Smarandache curves according to the Sabban frame of a spacelike curve lying on pseudosphere in Minkowski 3-space.

Special Smarandache Curves in the Euclidean Space

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 7 pages
Book Rating : 4./5 ( download)

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Book Synopsis Special Smarandache Curves in the Euclidean Space by : Ahmad T. Ali

Download or read book Special Smarandache Curves in the Euclidean Space written by Ahmad T. Ali and published by Infinite Study. This book was released on with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this work, we introduce some special Smarandache curves in the Euclidean space. We study Frenet-Serret invariants of a special case. Besides, we illustrate examples of our main results.

Smarandache Curves of a Spacelike Curve According to the Bishop Frame of Type-2

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4./5 ( download)

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Book Synopsis Smarandache Curves of a Spacelike Curve According to the Bishop Frame of Type-2 by : Yasin Unluturk

Download or read book Smarandache Curves of a Spacelike Curve According to the Bishop Frame of Type-2 written by Yasin Unluturk and published by Infinite Study. This book was released on with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: A third order vectorial differential equation of position vector of Smarandache breadth curves has been obtained in Minkowski 3-space.