The square–cube law was first described by an astronomer born in what year?
Square–cube law The square–cube law (or cube–square law) is a mathematical principle, applied in a variety of scientific fields, which describes the relationship between the volume and the area as a shape's size increases or decreases. It was first described in 1638 by Galileo Galilei in his "Two New Sciences" as the "...ratio of two volumes is greater than the ratio of their surfaces".
Galileo's paradox Galileo's paradox is a demonstration of one of the surprising properties of infinite sets. The ideas were not new with him, but his name has come to be associated with them. In his final scientific work, "Two New Sciences", Galileo Galilei made apparently contradictory statements about the positive integers. First, some numbers are squares, while others are not; therefore, all the numbers, including both squares and non-squares, must be more numerous than just the squares. And yet, for every square there is exactly one positive number that is its square root, and for every number there is exactly one square; hence, there cannot be more of one than of the other. This is an early use, though not the first, of the idea of one-to-one correspondence in the context of infinite sets.