a. Math. [Loosely f. SYZYGY + -etic (cf. Gr. συζυγεῖν to yoke together, be correlative).] Of, pertaining to, or constituting a syzygy (SYZYGY 5). Hence Syzygetically adv.

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1850.  Sylvester, in Cambr. & Dubl. Math. Jrnl., V. 276. [U, V, W] are … capable of being connected by integral multipliers U′, V′, W′, such that UU + VV + WW = 0. Any number of functions U, V, W so related, I call syzygetic functions, and U′, V′, V″ [sic: ? W′] I term the syzygetic multipliers. Ibid. (1852), Ibid., VII. 75, note. Rational integer functions which admit of being multiplied severally by other rational integer functions such that the sum of the products is identically zero, are said to be ‘syzygetically related.’ Ibid. (1853), in Phil. Trans., CXLIII. 407.

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