✨
Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
Our main result is that every space curve is a directional Bertrand curve with in nite directional Bertrand mates.
📌 3 Maddede Bu Makale
🎯
Amaç & Hipotez:It is well known that a characteristic property of the Bertrand curve is the existence of a linear relation between its curvature and torsion.
📊
Temel Bulgular & Veri:In this paper, we propose a new method for generating Bertrand curves, which avoids the basic restrictions.
💡
Sonuç & Katkı:Our main result is that every space curve is a directional Bertrand curve with in nite directional Bertrand mates.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Bertrand Curves · offset · Frenet frame
Abstract
It is well known that a characteristic property of the Bertrand curve is the existence of a linear relation between its curvature and torsion. In this paper, we propose a new method for generating Bertrand curves, which avoids the basic restrictions. Our main result is that every space curve is a directional Bertrand curve with in nite directional Bertrand mates.
Anahtar kelimeler
🔖
Bu Makaleye Atıf Yap
Dede, M., Ekici, C. (2018). Directional Bertrand Curves. Gazi University Journal of Science, Volume: 31 Issue: 1. https://ajindex.com/articles/1269304