cotyloid joint vs ball-and-socket joint

cotyloid joint and ball-and-socket joint both are nouns.

Word	Noun	Adjective	Verb	Adverb
cotyloid joint	Yes	No	No	No
ball-and-socket joint	Yes	No	No	No

As nouns, cotyloid joint and ball-and-socket joint are synonyms defined as:

cotyloid joint and ball-and-socket joint: a freely moving joint in which a sphere on the head of one bone fits into a rounded cavity in the other bone

Other synonyms of cotyloid joint include articulatio spheroidea, enarthrodial joint, enarthrosis, spheroid joint.

cotyloid joint (noun)	ball-and-socket joint (noun)
a freely moving joint in which a sphere on the head of one bone fits into a rounded cavity in the other bone	a joint that can rotate within a socket
	a freely moving joint in which a sphere on the head of one bone fits into a rounded cavity in the other bone