catenary vs curved shape

catenary and curved shape both are nouns.

Word	Noun	Adjective	Verb	Adverb
catenary	Yes	No	No	No
curved shape	Yes	No	No	No

As nouns, curved shape is a hypernym of catenary; that is, curved shape is a word with a broader meaning than catenary:

catenary: the curve theoretically assumed by a perfectly flexible and inextensible cord of uniform density and cross section hanging freely from two fixed points
curved shape: the trace of a point whose direction of motion changes

Other hypernyms of catenary include curve.

catenary (noun)	curved shape (noun)
the curve theoretically assumed by a perfectly flexible and inextensible cord of uniform density and cross section hanging freely from two fixed points	the trace of a point whose direction of motion changes