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Copernicus theorem

If the length of circle B diameter is twice less than the length of circle A diameter and circle B, remaining internally tangent to circle A, goes after it without slip, then each point of circle B moves along the section constituting diameter of circle A. Theorem formulated by arabic scholar Nasir ad-Din Tusi and used by Copernicus in his work "De revolutionibus orbium coelestium (pol. O obrotach sfer niebieskich)".