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1908, Euclid, translated by Thomas L. Heath, Elements, III.9:
If a point be taken within a circle, and more than two equal straight lines fall from the point on the circle, the point taken is the centre of the circle.
Japanese scientists are to explore the centre of the Earth. Using a giant drill ship launched next month, the researchers aim to be the first to punch a hole through the rocky crust that covers our planet and to reach the mantle below.
The middle portion of something; the part well away from the edges.
(obsolete) The innermost point of the Earth, or the Earth itself, as the center or foundation of the Universe; the center or foundation of the Universe abstractly.
1667, John Milton, “Book I”, in Paradise Lost., London: [Samuel Simmons], and are to be sold by Peter Parker; nd by Robert Boulter; nd Matthias Walker,, →OCLC; republished as Paradise Lost in Ten Books:, London: Basil Montagu Pickering, 1873, →OCLC, lines 73-75:
[...] their portion set As far remov'd from God and light of Heav'n As from the Center thrice to th'utmost Pole.
2018, Pál Fodor, The Business of State. Ottoman Finance Administration and Ruling Elites in Transition (1580s–1615) (Studien zur Sprache, Geschichte und Kultur der Turkvölker; 28), Berlin: Klaus Schwarz Verlag × De Gruyter, published 2020, →DOI, →ISBN, page 50:
In Anatolia tensions between state officials (ehl-i örf) and the peasants were strained to breaking point. At several places—particularly in the frontier provinces—there were fierce clashes between the janissaries stationed there and the governors. In Aleppo and Damascus incidents were common after 1589: the kuls threw rocks at the beylerbeyi’s house, killed people, broke into the divan several times and took the money prepared by the council for remittance to the centre.
(soccer) A pass played into the centre of the pitch.
2010 December 28, Owen Phillips, “Sunderland 0 - 2 Blackpool”, in BBC:
Bent twice sent efforts wide of the far post after cutting in from the left, Wellbeck missed his kick from an inviting centre and failed to get on the end of a looping pass when six yards out.
(engineering) A conical recess or indentation in the end of a shaft or other work, to receive the point of a center, on which the work can turn, as in a lathe.
(algebra,group theory, ring theory) The set of those elements (of a given algebraic structure) that commute with every other element, usually denoted Z(G). In the case of (semi-)groups, it is required that they commute under the (semi-)group operation; in the case of rings and (Lie) algebras, under mulitplication (i.e. the bracket for Lie algebras)
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2012, Michael Kaminski et al., chapter 7, in Myth, Media, and Culture in Star Wars: An Anthology, page 87:
However, Lucas also centered the plot around the protection of the secret Death Star plans, which now filled the role of the clan treasure the enemy is seeking in Hidden Fortress; […]
The spelling centre is standard in UK English. In Canada it is typical in proper names, e.g. Toronto Centre for the Arts, but "center" is also commonly used otherwise, e.g. shopping center, center of town. Both spellings can be encountered even in the same text; e.g. in NHL hockey where there are many Canadian and US teams, reference might be made to the "center" forward position and a "centre" where a game is played.
The indirect object of the intransitive verb is given the prepositions on, in, at, or around. At is primary used only in mathematical contexts. Merriam-Webster's Collegiate Dictionary observes that center around is objected to by some people on the grounds that it is illogical, but states that it is an idiom, and thus that such objections are irrelevant. It offers revolve around as an alternative to center around for those who would avoid the idiom.