composure vs poise

composure and poise both are nouns.

Word	Noun	Adjective	Verb	Adverb
composure	Yes	No	No	No
poise	Yes	No	Yes	No

As nouns, poise is a hyponym of composure; that is, poise is a word with a more specific, narrower meaning than composure:

Other hyponyms of composure include aplomb, assuredness, cool, sang-froid, placidity, quiet, repose, serenity, tranquility, tranquillity.

composure (noun)	poise (noun)
steadiness of mind under stress	great coolness and composure under strain
	a cgs unit of dynamic viscosity equal to one dyne-second per square centimeter; the viscosity of a fluid in which a force of one dyne per square centimeter maintains a velocity of 1 centimeter per second
	a state of being balanced in a stable equilibrium

composure (verb)	poise (verb)
	hold or carry in equilibrium
	cause to be balanced or suspended
	prepare (oneself), often but not necessarily for something unpleasant or difficult
	be motionless, in suspension