Esra B. Koç Öztürk, Ufuk Öztürk, Yusuf Yaylı

99115

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

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

− 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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Journal of New Theory-Cover
  • Yayın Aralığı: 4
  • Başlangıç: 2014
  • Yayıncı: Naim Çağman
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