pedal curve vs curved shape

pedal curve and curved shape both are nouns.

Word	Noun	Adjective	Verb	Adverb
pedal curve	Yes	No	No	No
curved shape	Yes	No	No	No

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

pedal curve: the curve resulting from the orthogonal projection of a fixed point on the tangent lines of a given curve.
curved shape: the trace of a point whose direction of motion changes

Other hypernyms of pedal curve include curve.

pedal curve (noun)	curved shape (noun)
the curve resulting from the orthogonal projection of a fixed point on the tangent lines of a given curve.	the trace of a point whose direction of motion changes