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Browsing by Subject "cycloid"

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  • thumbnail.journal.alt
    Item type:Thesis, Access status: Restricted ,
    Krzywizna krzywych płaskich
    (Data obrony: 2013-07-04) Szlachta, Paweł; Bełzowski, Sebastian
    Wydział Matematyki Stosowanej
  • thumbnail.journal.alt
    Item type:Thesis, Access status: Restricted ,
    Krzywizna krzywych płaskich
    (Data obrony: 2013-09-24) Bełzowski, Sebastian; Szlachta, Paweł
    Wydział Matematyki Stosowanej
  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    Zagadnienie tautochrony
    (Wydawnictwa AGH, 2011) Górecki, Henryk
    In the paper, a theoretical solution for the motion of cycloidal pendulum is presented. The period of oscillations of such a pendulum is independent of the amplitude of oscillations. This enables construction of very precise clocks. It turns out that the curve called tautochrone is, at the same time, the curve of quickest descent in the gravitational field, that is, brachystochrone. The birth of the sinusoid curve, so popular in electrical engineering, is also described.