"having a common center," c. 1400, from Old French concentrique, from Medieval Latin concentricus, from assimilated form of com "with, together" (see con-) + Latin centrum "circle, center" (see center (n.)).
word-forming element meaning "together, with," sometimes merely intensive; it is the form of com- used in Latin before consonants except -b-, -p-, -l-, -m-, or -r-. In native English formations (such as costar), co- tends to be used where Latin would use con-.
late 14c., "middle point of a circle; point round which something revolves," from Old French centre (14c.), from Latin centrum "center," originally the fixed point of the two points of a drafting compass (hence "the center of a circle"), from Greek kentron "sharp point, goad, sting of a wasp," from kentein "stitch," from PIE root *kent- "to prick" (source also of Breton kentr "a spur," Welsh cethr "nail," Old High German hantag "sharp, pointed").
The spelling with -re was popularized in Britain by Johnson's dictionary (following Bailey's), though -er is older and was used by Shakespeare, Milton, and Pope. Meaning "the middle of anything" attested from 1590s. Figuratively, "point of concentration" (of power, etc.) is from 1680s. Political use, originally in reference to France, "representatives of moderate views" (between left and right) is from 1837. Center of gravity is recorded from 1650s. Center of attention is from 1868.
early 15c., "eccentric circle or orbit," originally a term in Ptolemaic astronomy, "circle or orbit not having the Earth precisely at its center," from French eccentrique and directly from Medieval Latin eccentricus (noun and adjective), from Greek ekkentros "out of the center" (as opposed to concentric), from ek "out" (see ex-) + kentron "center" (see center (n.)). Meaning "odd or whimsical person" is attested by 1817 (S.W. Ryley, "The Itinerant, or Memoirs of an Actor").
June 4 .—Died in the streets in Newcastle, William Barron, an eccentric, well known for many years by the name of Billy Pea-pudding. [John Sykes, "Local Records, or Historical Register of Remarkable Events which have Occurred Exclusively in the Counties of Durham and Northumberland, Town and County of Newcastle Upon Tyne, and Berwick Upon Tweed," Newcastle, 1824]