politic (adj.)

early 15c., "pertaining to public affairs," from Middle French politique "political" (14c.) and directly from Latin politicus "of citizens or the state, civil, civic," from Greek politikos "of citizens, pertaining to the state and its administration; pertaining to public life," from polites "citizen," from polis "city" (see polis). Replaced in most adjectival senses by political. From mid-15c. as "prudent, judicious."

politic (v.)

also politick, "to engage in political activity," 1917, a back-formation from politics. Related: Politicked; politicking (for the -k- see picnic (v.)).

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Definitions of politic from WordNet

politic (adj.)
marked by artful prudence, expedience, and shrewdness;
it is neither polite nor politic to get into other people's quarrels
a politic decision
a politic manager
a politic old scoundrel
a shrewd and politic reply
politic (adj.)
smoothly agreeable and courteous with a degree of sophistication;
he was too politic to quarrel with so important a personage
Synonyms: smooth / suave / bland