Bisector Surfaces Through A Common Line of Curvatures and Its Classifications

Year 2018, , 1760 - 1764, 01.12.2018

Muhammed Talat Sarıaydın

https://doi.org/10.16984/saufenbilder.409153

Abstract

In this paper, we study the Bisector surface, which defines
the line of curvature on a surface play an importance role. Firstly, the
Bisector surface constructed by a point and a space curve given in Euclidean
3-space. Then, it is investigated that the necessary and sufficient condition
for directrix curve of this surface to satisfy line of curvature. After this,
we classify the Bisector surfaces.

Keywords

Bisector surface, Ruled surface, line of curvature

References

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