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Chain curve, or why cupolas are similar? (Kötélgörbe, avagy miért hasonlitanak a kupolák?) (Hungarian)
Polygon 18, No. 1, 33-45 (2009).
This article deals with the connection between chain curves and cupolas. The author shows that cupolas are similar because these surfaces are rotations of chain curves with axis. He gives the mathematical formula for chain curves and determines their minimum value. Applying the methods of the calculus of variations he shows that the chain curve has minimal potential energy. He discusses the “construction” of chain curves by the help of parables moving on a straight line. The Appendix is a summary about hyperbolic functions.
Reviewer: Tünde Kántor (Debrecen)
Classification: I40 I50
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