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Öğe CLOSED SPHERICAL MOTIONS AND HOLDITCH THEOREM(Pergamon-Elsevier Science Ltd, 1994) GUNES, R; KELES, SIn this paper, the relation between the Steiner vector of a one-parameter closed spherical motion and the area vector of the closed spherical curve formed under the motion is discussed and some corollaries are given. Moreover, making use of the area formula of W. Blaschke and the area vector defined by H. R. Muller, the formula given by H. H. Hacisalihoglu is obtained by a different method.Öğe THE SERRET-FRENET FORMULAS FOR DUAL QUATERNION-VALUED FUNCTIONS OF A SINGLE REAL VARIABLE(Pergamon-Elsevier Science Ltd, 1994) SIVRIDAG, AI; GUNES, R; KELES, SDual quaternion-valued functions of a single real variable define a curve in ID4. The Serret-Frenet formulae for a curve in ID3, well known [1], it is rederived with the help of dual spatialquaternions. Making use of these formulae, we derived the Serret-Frenet formulae for dual quaternion-valued functions in ID4.