The invention relates to a connecting piece, intended to make a mechanical connection between two elements, comprising: a female part comprising a mechanical assembly portion and a receiving portion in the continuity of the assembly portion, the receiving portion being shaped into an equatorial section of a sphere, - a male part comprising a mechanical assembly portion and an insertion portion in the continuity of the assembly portion, the insertion portion being shaped into an equatorial sphere section, inserted with play in the receiving portion in being held in the latter, so that the male part is movable in rotation according to one or more degrees of freedom relative to the female part while being mechanically assembled with the latter.
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