equilibrium vs symmetry

equilibrium and symmetry both are nouns.

Word	Noun	Adjective	Verb	Adverb
equilibrium	Yes	No	No	No
symmetry	Yes	No	No	No

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

Other hyponyms of equilibrium include conformation, proportion.

equilibrium (noun)	symmetry (noun)
a sensory system located in structures of the inner ear that registers the orientation of the head	(mathematics) an attribute of a shape or relation; exact reflection of form on opposite sides of a dividing line or plane
a chemical reaction and its reverse proceed at equal rates	(physics) the property of being isotropic; having the same value when measured in different directions
equality of distribution	balance among the parts of something
a stable situation in which forces cancel one another