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Noun
As magical square
1670, Geraud de Cordemoy, A Discourse Written to a Learned Frier:Thus Geometricians make themſelves capable, promptly to explicate the moſt difficult Problemes in thoſe matters which are of uſe in the life of Man, by exerciſing themſelves in the moſt knotty and the moſt abſtract queſtions of Algebra, and by making Magical Squares and other things, which are of no uſe in themſelves.
1693, Simon de la Loubère, A New Historical Relation of the Kingdom of Siam:Methods of varying the Magical Squares by Bachet's Square augmented.
As magic square
1701 (published 1809), The philosophical transactions of the Royal Society of London, from their commencement, in 1665, to the year 1800 : abridged :It is remarkable that these 16 numbers, being formed into the 16 cells of a square in the order as they stand, they will compose a magic square, every horizontal row and every vertical column, and each diagonal of which amount always to the same sum
1726, Daniel Defoe, The Political History of the Devil :The Magic Square is when Numbers in Arithmetical Proportion are diſpoſs'd into ſuch Parallels or equal Ranks, as that the Sums of each Row as well Diagonally as Laterally ſhall be all equal
1728, Ephraim Chambers, Cyclopaedia:One would imagine that Magic Squares had that Name given them, in regard this Property of all their Ranks, which, taken any way, make always the ſame Sum, appeared extremely ſurprizing, eſpecially in certain ignorant Ages, when Mathematics paſſed for Magic