analogy

From Latin analogia, borrowed from Ancient Greek ἀναλογίᾱ (analogíā), itself formed from ἀνα- (ana-, "according to") plus λόγος (lógos, "speech, reckoning").

The facts available don't trace a change in meaning beyond its Greek and Latin form — it entered English through this same Greek-Latin path.

It shares its λόγος (lógos) root with other English words built on "speech" or "reckoning," though no specific cognate is given in the source facts.