“Polite has the same root as politics and police.”
What the significance would be, I don’t know, but it is apparently not so anyway.
From here: http://www.etymonline.com/index.php?search=police&searchmode=none
polite
1263, from L. politus “refined, elegant,” lit. “polished,” pp. of polire “to polish, to make smooth.” Used literally at first in Eng.; sense of “elegant, cultured” is first recorded 1501, that of “behaving courteously” is 1762.
politics (n.)
1529, “science of government,” from politic (adj.), modeled on Aristotle’s ta politika “affairs of state,” the name of his book on governing and governments, which was in Eng. 1450 as “Polettiques.”
police
c.1530, at first essentially the same word as policy (1); from M.Fr. police (1477), from L. politia “civil administration,” from Gk. polis “city” (see policy (1)). Still used in Eng. for “civil administration” until mid-19c.; application to “administration of public order” (1716) is from Fr., and originally referred to France or other foreign nations. The first force so-named in Eng. was the Marine Police, set up 1798 to protect merchandise at the Port of London. The verb “to keep order by means of police” is from 1841; policeman is from 1829. Police state “state regulated by means of national police” first recorded 1865, with ref. to Austria.
Polite has a strictly Latin root, while both politics and police have different Greek roots.
Hank
Yes, it is so. Latin is Greek with a country accent.