One of the mysteries of the English language finally explained.
Mathematics and Surveying. An arc which forms a complete circle when combined with a given other arc; (also) the difference between a given angle and 360 degrees. Compare "complement", "supplement". Now rare.
Late 16th century (in an earlier sense). From classical Latin explēmentum that which fills up, in post-classical Latin also fulfilment from explēre to fill up explete + -mentum.
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