Some Problems on Motion, Simple but ...
Matematičeskoe obrazovanie, Tome 32 (2005) no. 1, pp. 66-77.

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Let some points of a figure (say, ends of a segment) move along some prescribed trajectories (say, along sides of a right angle). How do other points (say, the middle of the segment) move? Similar geometric problems are studied in the paper.
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S. V. Dvoryaninov. Some Problems on Motion, Simple but .... Matematičeskoe obrazovanie, Tome 32 (2005) no. 1, pp. 66-77. http://geodesic.mathdoc.fr/item/MO_2005_32_1_a3/