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 for Algebraic curve
From The Collaborative International Dictionary of English v.0.48 :

  Algebraic \Al`ge*bra"ic\, Algebraical \Al`ge*bra"ic*al\, a.
     1. Of or pertaining to algebra; using algebra; according to
        the laws of algebra; containing an operation of algebra,
        or deduced from such operation; as, algebraic characters;
        algebraical writings; algebraic geometry.
        [1913 Webster]
     2. progressing by constant multiplicatory factors; -- of a
        series of numbers. Contrasted to arithmetical. algebraic
     Syn: algebraic
     Algebraic curve, a curve such that the equation which
        expresses the relation between the co["o]rdinates of its
        points involves only the ordinary operations of algebra;
        -- opposed to a transcendental curve.
        [1913 Webster]

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