In this study, we first investigate the intersection of two different ruled surfaces in R^3 for two different tangential spherical indicatrix curves on DS^2 using the E. Study mapping. The conditions for the intersection of these ruled surfaces in R^3 are expressed by theorems with bivariate functions. Secondly, considering two different principal normal spherical indicatrix curves on DS^2, we examine the intersection of two different ruled surfaces in R^3 by using E. Study mapping. Similarly, the conditions for the intersection of these ruled surfaces in R^3 are indicated by theorems with bivariate functions. Thirdly, using E. Study mapping, we explore the intersection of two different ruled surfaces in R^3 by considering two different binormal spherical indicatrix curves on DS^2. Likewise, the conditions for the intersection of these ruled surfaces in R^3 are denoted by theorems with bivariate functions. Fourthly, considering two different pole spherical indicatrix curves on DS^2, we study the intersection of two different ruled surfaces in R^3 by using E. Study mapping. In the same way, the conditions for the intersection of these ruled surfaces in R^3 are specified by theorems with bivariate functions. Finally, we provide some examples that support the main results.
Dual space Dual sphere spherical indicatrix curve ruled surface surface intersection
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Natural Sciences |
Yazarlar | |
Yayımlanma Tarihi | 30 Haziran 2023 |
Gönderilme Tarihi | 1 Kasım 2022 |
Kabul Tarihi | 7 Nisan 2023 |
Yayımlandığı Sayı | Yıl 2023Cilt: 44 Sayı: 2 |