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  • Journal of New Theory
  • Issue:4
  • A NOTE ON RELATION BETWEEN POINT-LINE DISPLACEMENT AND EQUIFORM TRANSFORMATION

A NOTE ON RELATION BETWEEN POINT-LINE DISPLACEMENT AND EQUIFORM TRANSFORMATION

Authors : Esra B Koç Öztürk, Ufuk Öztürk, Yusuf Yaylı
Pages : 53-59
View : 25 | Download : 11
Publication Date : 2015-05-01
Article Type : Research Paper
Abstract :− The present paper studies the relation between the point-line displacement and theequiform transformation in Euclidean 3-space R3. A point-line can be transformed into another pointline via an equiform transformation. Observing that a point-line is nothing but a line element whenits reference point is the origin of the coordinate system, we show that this transformation can also beperformed by using dual quaternions
Keywords : Line geometry, Line element, Dual quaternion, Equiform kinematics

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