Bir Uzay Eğrisi ve Regle Yüzey Arasında Bishop Çatısına Dayalı Bitişik Yaklaşımı

Öz

Bitişik yaklaşım genellikle krank-rocker bağlantılarının kuplör eğrilerini ve uzay hareketinde katı cisimlerin geometrisini incelemek için kullanılır. Bu makalede, Bishop çatısına dayalı bir uzay eğrisi ve bir regle yüzey arasındaki bitişik yaklaşım sunulmaktadır. Ayrıca, Tip-1 ve Tip-2 Bishop çatılarının bileşenleri kullanılarak bir regle yüzey ifade edilmiştir. Ayrıca, bir regle yüzeye bitişik bir eğri için Bishop çatısına bağlı sabit nokta koşulları belirlenmiştir. Son olarak, regle yüzey ile onun bitişik eğrisi arasındaki ilişkiyi göstermek için dört örnek sunulmuştur.

Anahtar Kelimeler

• Tip-1 Bishop çatısı
• Tip-2 Bishop çatısı
• Serret-Frenet çatısı
• bitişik eğri
• regle yüzey

Adjoint Approach Between A Spatial Curve and A Ruled Surface Based On The Bishop Frame

Öz

The adjoint approach is usually used to study the crank-rocker linkages’ coupler curves and the geometry of rigid objects in spatial motion. In this paper, the adjoint approach between a spatial curve and a ruled surface based on the Bishop frame is presented. Also, a ruled surface by using the components of the Type-1 and Type-2 Bishop frames is expressed. Moreover, for a curve that adjoint to a ruled surface the fixed point conditions concerning the Bishop frame are determined. Finally, we presented four examples to show the relationship between the ruled surface and its adjoint curve.

Anahtar Kelimeler

• Type-1 Bishop frame
• Type-2 Bishop frame
• Serret-Frenet frame
• adjoint curve
• ruled surface

Kaynakça

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