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Dergiler / Konuralp Journal of Mathematics / 2019 / Cilt: 7 Sayı: 1

A Survey on the Base, Rolling and Roulette Curves on Generalized Complex Number Plane $\mathbb{C}_{J}$

Mücahit AKBIYIK
Nurten GÜRSES
Salim YÜCE
Sayfa
228–232
Yayın Tarihi
2019-04-15
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We also re-obtainthe 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 $\mathbb{D}$.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, we define a base curve, a rolling curve and a roulette on generalized complex number plane ($\mathfrak{p}$-complex plane) $\mathbb{C}_{J}$.
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Temel Bulgular & Veri:We examine the third one of these curves under the condition that two others given.
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Sonuç & Katkı:We also re-obtainthe 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 $\mathbb{D}$.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:base curve · rolling curve · roulette

Abstract

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-obtainthe 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 $\mathbb{D}$.

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Bu Makaleye Atıf Yap

AKBIYIK, M., GÜRSES, N., YÜCE, S. (2019). A Survey on the Base, Rolling and Roulette Curves on Generalized Complex Number Plane $\mathbb{C}_{J}$. Konuralp Journal of Mathematics, Cilt: 7 Sayı: 1, 228–232. https://ajindex.com/articles/908890

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Kaynakça (19)

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