Akademik Veri Yönetim Sistemi
Applied Mathematics E - Notes, cilt.7, ss.175-178, 2007 (Scopus)
A. Tutar and N. Kuruoǧlu [1] had given the following theorem as a generalization of the classical Holditch Theorem [2]: During the closed planar homothetic motions with the period T, if the chord AB of fixed lenght a + b is moved around once on an oval k0, then a point X ∈ AB̄ (a = AX̄, b = BX̄) describes a closed path k0(X) and the "Holditch Ring", which is bounded by k0 and k 0(X) has the surface area F = h2(t0)πab, for t0 ∈ [0, T]. In this paper, under the open homothetic motions we expressed the Holditch Sickle such that the closed oval is replaced by the boundary of an bounded convex domain and so, the Holditch Sickles given by H. Pottmann [3] for one-parameter Euclidean motions generalized to the homothetic motions.