From Greek 'analytikós' (able to dissolve into parts), via Medieval Latin, combining 'aná' (up, back) and 'lýein' (to loosen) — literally 'loosening up' something to examine its components.
Relating to or using analysis; skilled in or employing logical reasoning to examine the parts of a whole
From Medieval Latin 'analyticus,' borrowed from Greek 'analytikós,' meaning 'able to analyze or dissolve.' The Greek adjective derives from 'analýein,' meaning 'to unloose, to dissolve, to resolve into elements,' which combines 'aná' (up, back, throughout) and 'lýein' (to loosen, to set free). Aristotle used 'Analytiká' as the title of two of his logical treatises (the Prior and Posterior Analytics), establishing
Aristotle's 'Analytics' were his works on logic and deductive reasoning — he chose the title because logical proof 'dissolves' a conclusion back into the premises from which it follows. The word 'analysis' literally means 'loosening up' — taking apart a compound thing to see what it is made of.