Düldül, Mustafa Two and three dimensional regions from homothetic motions. (English) Zbl 1222.53011 Appl. Math. E-Notes 10, 86-93 (2010). The area of the swept region obtained by 1-parametric planar homothetic motions and the volume of the region swept under spatial homothetic motions are studied. The polar moment of inertia of a planar region swept by a line segment under a Frenet motion is given. In the last section, the author obtains a volume formula of the region swept by a fixed rectangle under 1-parametric homothetic motions in Euclidean 3-space. Reviewer: Clementina Mladenova (Sofia) Cited in 5 Documents MSC: 53A17 Differential geometric aspects in kinematics Keywords:homothetic motions; area and volume of the swept region PDFBibTeX XMLCite \textit{M. Düldül}, Appl. Math. E-Notes 10, 86--93 (2010; Zbl 1222.53011) Full Text: EuDML EMIS