2020
DOI: 10.21597/jist.696719
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Surface Family With A Common Bertrand-B Isogeodesic Curve

Abstract: Bu çalışmada 3-boyutlu Öklid uzayında parametrik denklemi ile verilen yüzey üzerinde eğriliği sıfırdan farklı olan bir eğrinin Bertrand B-çiftinin bu yüzey üzerinde isogeodezik olması için gerekli ve yeterli şartlar elde edilerek, ortak Bertrand-B isogeodezik eğrili yüzey aileleri problemi ele alınmıştır.

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Cited by 2 publications
(1 citation statement)
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“…She used Bishop frame of the given curve to solve this problem. Atalay and Ayvac¬ [39], derived the necessary and su¢ cient condition for Bertrand B-pair of a given curve to be geodesic curve on a surface in Euclidean 3-space. However, they solved the problem using Bishop-II frame of the given curve.…”
Section: Introductionmentioning
confidence: 99%
“…She used Bishop frame of the given curve to solve this problem. Atalay and Ayvac¬ [39], derived the necessary and su¢ cient condition for Bertrand B-pair of a given curve to be geodesic curve on a surface in Euclidean 3-space. However, they solved the problem using Bishop-II frame of the given curve.…”
Section: Introductionmentioning
confidence: 99%