TY  - JOUR
T1  - KINEMATICS ON THE GENERALIZED 3-SPACE
TT  - GENELLEŞTİRİLMİŞ ÜÇ BOYUTLU UZAYIN KİNEMATİĞİ
AU  - Jafarı, Mehdi
PY  - 2015
DA  - October
DO  - 10.12739/NWSA.2015.10.4.3A0074
JF  - Physical Sciences
PB  - E-Journal of New World Sciences Academy
WT  - DergiPark
SN  - 1308-7304
SP  - 55
EP  - 63
VL  - 10
IS  - 4
LA  - en
AB  - A motion in 3-dimensional generalized space defined by using a spatial curve, it is shown that, this motion is a homothetic motion. We investigate some properties of this motion and show that it has only one pole point at every instant t.
KW  - Homothetic Motion
KW  - Hamilton Operator
KW  - Generalized Quaternion
KW  - Pole Point
KW  - Kinematic
N2  - Genelleştirilmiş bir üç boyutlu uzayda, hareket uzay eğrisi ile tanımlanan harekete homototik hareket denir. Bu çalışmada, homototik hareketin bazı özellikleri incelenmiş ve bir pole noktasına sahip olduğu yapılan çalışmada görülmüştür
CR  - Bottema, O. and Roth, B., (1979). Theorical Kinematics, Oxford, New York.
CR  - Hacisalihoglu, H.H., (1971). On The Rolling of One Curve or Surface Upon Another, Mathematical Proceedings of The Royal Irish Academy, 71A2, 13-17.
CR  - Jafari, M., (2014). On the Properties of Quasi-Quaternion Algebra, Commun. Fac. Sci. Univ. Ank. Series1, Vol:63(1), 1-10.
CR  - Jafari M. and Yayli Y., (2013). Rotation in Four Dimensions Via Generalized Hamilton Operators, Kuwait Journal of Science, Vol:40(1), 67-79.
CR  - Jafari, M., (2014). Homothetic Motions in Euclidean 3-Space, Kuwait Journal of Science, Vol:41(1), 65-73.
CR  - Kinematics , http://en.wikipedia.org/wiki/Kinematics.
CR  - Mortazaasl, H. and Jafari M., (2013). A Study on Semi-Quaternions Algebra in Semi-Euclidean 4-Space, Mathematical Science and Application E-Notes, Vol:1(2), 20-27.
CR  - Tosun, M., Kucuk, A., and Gungor, M.A., (2006). The Homothetic Motions in the Lorentz 3-Space, Acta Mathematica Science, 26B(4) 711-719.
CR  - Yaylı, Y., (1992). Homothetic Motions at Mechanism and Machine Theory, 27(3), 303-305.
UR  - https://doi.org/10.12739/NWSA.2015.10.4.3A0074
L1  - https://dergipark.org.tr/tr/download/article-file/187021
ER  -