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oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/170022026-10-18T21:12:09Zopenairedrivercom_ebyu_10000col_ebyu_10001

ON THE CONSTRUCTION OF GENERALIZED BOBILLIER FORMULAErisir, TulayGungor, Mehmet AliErsoy, SoleyBobillier FormulaEuler-Savary FormulaGeneralized Complex NumbersEULER-SAVARY EQUATIONMOTIONSMathematicsIn this study, we consider the generalized complex number system C-p = {x + iy : x, y is an element of R; i(2) = p is an element of R} corresponding to elliptical complex number, parabolic complex number and hyperbolic complex number systems for the special cases of p < 0, p = 0, p > 0, respectively. This system is used to derive Bobillier Formula in the generalized complex plane. In accordance with this purpose we obtain this formula by two different methods for one-parameter planar motion in C-p; the first method depends on using the geometrical interpretation of the generalized Euler-Savary formula and the second one uses the usual relations of the velocities and accelerations.ANKARA UNIV, FAC SCI2019Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/17002https://doi.org/10.31801/cfsuasmas.4436571303-5991enCOMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICSinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/17002