Queequeg sought a passage to Christian lands. But the ship, having her full complement of seamen, spurned his suit; and not all the King his father's influence could prevail.
2009 October 30, The Guardian:
Some 11 members of Somerton council's complement of 15 stepped down on Tuesday.
Something which completes, something which combines with something else to make up a complete whole; loosely, something perceived to be a harmonious or desirable partner or addition. [from 19th c.]
1854, James Stephen, On Desultory and Systematic Reading:
History is the complement of poetry.
1962 October, Brian Haresnape, “Focus on B.R. passenger stations”, in Modern Railways, page 255:
It would be too much to imagine that improving stations will alone create a much needed new image in the public eye; a smartly turned out station staff is a very necessary complement to a smart station.
2009 December 13, The Guardian:
London's Kings Place, now one year old, established itself as a venue for imaginative programming, a complement to the evergreen Wigmore Hall.
1988, Andrew Radford, chapter 7, in Transformational grammar: a first course, Cambridge, UK: Cambridge University Press, page 340:
Why has our grammar broken down at this point? It is not difficult to see why. For, we have failed to make any provision for the fact that only some Verbs in English (i.e. Verbs like those italicized in (5) (a), traditionally called Transitive Verbs) subcategorize ( = ‘takeʼ) an immediately following NP Complement, whereas others (such as those italicised in (5) (b), traditionally referred to as Intransitive Verbs) do not.
(music) An interval which, together with the given interval, makes an octave. [from 19th c.]
(optics) The color which, when mixed with the given color, gives black (for mixing pigments) or white (for mixing light). [from 19th c.]
(logic) An expression related to some other expression such that it is true under the same conditions that make other false, and vice versa. [from 20th c.]
perform all those works of mercy, which Clemens Alexandrinus calls amoris et amicitiæ impletionem et extentionem, the extent and complement of love[…].