Verilen Bir Eğri Boyunca Gauss Eğriliği Sabit Olan Yüzeyler

Year 2020, Volume: 20 Issue: 5, 819 - 823, 30.11.2020

Ergin Bayram

https://doi.org/10.35414/akufemubid.678551

Cited By: 1

Abstract

Bu çalışmada, verilen bir eğriden geçen ve bu eğri boyunca Gauss eğriliği sabit olan yüzeyler elde edildi. Verilen eğrinin Frenet vektör alanları kullanılarak bu eğriden geçen yüzeyler parametrik olarak ifade edildi. Ayrıca, verilen eğriden geçen ve Gauss eğriliği sabit regle yüzeyler için yeterli şartlar verildi. Bazı örnekler verilerek elde edilen yöntem görsel hale getirildi.

Keywords

Eğri, Yüzey, Gauss eğriliği, Frenet çatısı

Surfaces With Constant Gaussian Curvature Along a Given Curve

Abstract

In this study, we find surfaces with constant Gaussian curvature along a given curve. The parametric representation of the surfaces possessing the given curve expressed using the Frenet vector fields of the curve. Also, we give conditions for ruled surfaces passing through the given curve and having constant Gaussian curvature. We present some illustrative examples validating the presented method.

Keywords

Curve, Surface, Gaussian curvature, Frenet frame

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