Assertion: rectangle's area | /r/HasProperty | proportional
Facets:
value: to its radius
type: LOCATION
value: to the square of its diameter
type: OTHER
Source sentences:
text: In the 5th century BCE, Hippocrates of Chios was the first to show that the area of a disk (the region enclosed by a circle) is proportional to the square of its diameter, as part of his quadrature of the lune of Hippocrates, but did not identify the constant of proportionality.
text: Eudoxus of Cnidus, also in the 5th century BCE, also found that the area of a disk is proportional to its radius squared.