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Zbl 1222.53011
Düldül, Mustafa
Two and three dimensional regions from homothetic motions.
(English)
[J] Appl. Math. E-Notes 10, 86-93, electronic only (2010). ISSN 1607-2510/e

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.
[Clementina Mladenova (Sofia)]
MSC 2000:
*53A17 Kinematics (differential geometry)

Keywords: homothetic motions; area and volume of the swept region

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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