Turkish Journal of Mathematics and Computer Science

Yazarlar: Abdussamet ÇALIŞKAN

Konular:Matematik

DOI:10.47000/tjmcs.858793

Anahtar Kelimeler:Darboux vector,Distribution parameter,Dual spherical curve,Dual angle of pitch,Quaternion,Spatial quaternion,Ruled surface.

Özet: In this paper, firstly the ruled surface drawn by the Darboux vector is expressed as a quaternion. Then, the spatial quaternionic definition of the striction curve is given and the integral invariants of the surface are calculated. Finally, the ruled surface which corresponds to a dual curve drawn by a dual Darboux vector is derived with the help of dual spatial quaternions and dual integral invariants of the ruled surface are obtained.

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