Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.47, no.1-2, pp.19-26, 1998 (Peer-Reviewed Journal)
The purpose of this paper is, first, to present the definition of the a-pedal hypersurface of a given smooth, connected and orientable surface M in $/E^{n+1}$ (chapter I) and if M is taken as a hypersurface with constant support function, then we will give the some new characteristic properties of the a-pedal hypersurface of M related to support function, the area element, the higher order Gaussian curvatures, the characteristic polynom, the first, second and third fundamental forms and their coefficients of M (chapter II).