Synopsis
In differential geometry of curves, there are many important properties and consequences. In the light of the existing studies, researchers always introduce new curves. Although, the differential geometry of curves in E^3 can be found in many textbooks and in the contemporary literature on geometric modeling, there is little literature in E^3 and hardly in E^4 and E^n in the study of differential geometry of intersection curves. Some intersection curves have been studied by many geometers and obtained some interesting results. Here, we work with one of the important classes of surfaces which are called the implicit surfaces in a four- dimensional Euclidean space E^4. And we present formulas for computing the differential geometry properties of the tangential intersection curve of three implicit surfaces in Euclidean 4-space E^4. These properties include (the tangent T, the principle normal N, the binormal vectors (B1;B2) and the curvatures (1; 2; 3) of the intersection curve). Furthermore, we give examples to explain our main results.
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Intersection Curves of Special Surfaces in Euclidean Space
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Noor Publishing Nov 2016, 2016
ISBN 10 : 3330797770
ISBN 13 : 9783330797772
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Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In differential geometry of curves, there are many important properties and consequences. In the light of the existing studies, researchers always introduce new curves. Although, the differential geometry of curves in E^3 can be found in many textbooks and in the contemporary literature on geometric modeling, there is little literature in E^3 and hardly in E^4 and E^n in the study of differential geometry of intersection curves. Some intersection curves have been studied by many geometers and obtained some interesting results. Here, we work with one of the important classes of surfaces which are called the implicit surfaces in a four- dimensional Euclidean space E^4. And we present formulas for computing the differential geometry properties of the tangential intersection curve of three implicit surfaces in Euclidean 4-space E^4. These properties include (the tangent T, the principle normal N, the binormal vectors (B1;B2) and the curvatures (1; 2; 3) of the intersection curve). Furthermore, we give examples to explain our main results. 128 pp. Englisch. N° de réf. du vendeur 9783330797772
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Intersection Curves of Special Surfaces in Euclidean Space
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Khalifa Saad MohamedLecturer of Computational-Differential Geometry, Mathematics Department, Faculty of Science, Sohag University, Egypt & Mathematics Department, Faculty of Science, Islamic University in Madina, KSA.Dr. H. S. Abdel . N° de réf. du vendeur 151242665
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Intersection Curves of Special Surfaces in Euclidean Space
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Paperback. Etat : Brand New. 128 pages. 8.66x5.91x0.29 inches. In Stock. N° de réf. du vendeur 3330797770
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Intersection Curves of Special Surfaces in Euclidean Space
Edité par
Noor Publishing Nov 2016, 2016
ISBN 10 : 3330797770
ISBN 13 : 9783330797772
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -In differential geometry of curves, there are many important properties and consequences. In the light of the existing studies, researchers always introduce new curves. Although, the differential geometry of curves in E^3 can be found in many textbooks and in the contemporary literature on geometric modeling, there is little literature in E^3 and hardly in E^4 and E^n in the study of differential geometry of intersection curves. Some intersection curves have been studied by many geometers and obtained some interesting results. Here, we work with one of the important classes of surfaces which are called the implicit surfaces in a four- dimensional Euclidean space E^4. And we present formulas for computing the differential geometry properties of the tangential intersection curve of three implicit surfaces in Euclidean 4-space E^4. These properties include (the tangent T, the principle normal N, the binormal vectors (B1;B2) and the curvatures (1; 2; 3) of the intersection curve). Furthermore, we give examples to explain our main results.Books on Demand GmbH, Überseering 33, 22297 Hamburg 128 pp. Englisch. N° de réf. du vendeur 9783330797772
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Intersection Curves of Special Surfaces in Euclidean Space
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Taschenbuch. Etat : Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - In differential geometry of curves, there are many important properties and consequences. In the light of the existing studies, researchers always introduce new curves. Although, the differential geometry of curves in E^3 can be found in many textbooks and in the contemporary literature on geometric modeling, there is little literature in E^3 and hardly in E^4 and E^n in the study of differential geometry of intersection curves. Some intersection curves have been studied by many geometers and obtained some interesting results. Here, we work with one of the important classes of surfaces which are called the implicit surfaces in a four- dimensional Euclidean space E^4. And we present formulas for computing the differential geometry properties of the tangential intersection curve of three implicit surfaces in Euclidean 4-space E^4. These properties include (the tangent T, the principle normal N, the binormal vectors (B1;B2) and the curvatures (1; 2; 3) of the intersection curve). Furthermore, we give examples to explain our main results. N° de réf. du vendeur 9783330797772
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Intersection Curves of Special Surfaces in Euclidean Space
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Taschenbuch. Etat : Neu. Intersection Curves of Special Surfaces in Euclidean Space | Mohamed Khalifa Saad (u. a.) | Taschenbuch | 128 S. | Englisch | 2016 | Noor Publishing | EAN 9783330797772 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu. N° de réf. du vendeur 107771065
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