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Journals / Konuralp Journal of Mathematics / 2015 / Cilt: 3 - Sayı: 1

ON THE DETERMINATION OF A DEVELOPABLE SPHERICAL ORTHOTOMIC TIMELIKE RULED SURFACE

Ö. Gökmen YILDIZ
Siddika Ö. KARAKUŞ
H. Hilmi HACISALİHOĞLU
Pages
75–83
Publication Date
2015-04-01
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The paper concludes with an example related to this method.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, a method for determination of developable spherical orthotomic ruled surfaces generated by a spacelike curve on dual hyperbolic unit sphere is given by using dual vector calculus in R31 .
📊
Key Findings & Data:We show that dual vectorial expression of a developable spherical orthotomic timelike ruled surface can be obtained from coordinates and the rst derivatives of the base curve.
💡
Conclusion & Impact:The paper concludes with an example related to this method.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Ruled Surface · Developable Surface · Dual Hyperbolic Unit Sphere

Abstract

In this paper, a method for determination of developable spherical orthotomic ruled surfaces generated by a spacelike curve on dual hyperbolic unit sphere is given by using dual vector calculus in R31 . We show that dual vectorial expression of a developable spherical orthotomic timelike ruled surface can be obtained from coordinates and the rst derivatives of the base curve. The paper concludes with an example related to this method.

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Cite This Article

YILDIZ, Ö. G., KARAKUŞ, S. Ö., HACISALİHOĞLU, H. H. (2015). ON THE DETERMINATION OF A DEVELOPABLE SPHERICAL ORTHOTOMIC TIMELIKE RULED SURFACE. Konuralp Journal of Mathematics, Cilt: 3 - Sayı: 1, 75–83. https://ajindex.com/articles/786744

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