In this study, we define a base curve, a rolling curve and a roulette on generalized complex number plane ($\mathfrak{p}$-complex plane) $\mathbb{C}_{J}$. We examine the third one of these curves under the condition that two others given. We also re-obtain
the Euler Savary's formula in $\mathbb{C}_{J}$ as a generalization of the Euler Savary's formula for complex plane $\mathbb{C}$, hyperbolic plane $\mathbb{H}$ and dual plane $\mathbb{D}$.
base curve rolling curve roulette associated curve Generalized complex number plane
Birincil Dil | İngilizce |
---|---|
Konular | Mühendislik |
Bölüm | Articles |
Yazarlar | |
Yayımlanma Tarihi | 15 Nisan 2019 |
Gönderilme Tarihi | 2 Kasım 2017 |
Kabul Tarihi | 15 Nisan 2019 |
Yayımlandığı Sayı | Yıl 2019 Cilt: 7 Sayı: 1 |