Similarity (geometry) - Galileo's Square-cube Law

Galileo's Square-cube Law

The ratio between the areas of similar figures is equal to the square of the ratio of corresponding lengths of those figures (for example, when the side of a square or the radius of a circle is multiplied by two, its area is multiplied by four — i.e. by two squared).

The ratio between the volumes of similar figures is equal to the cube of the ratio of corresponding lengths of those figures (for example, when the edge of a cube or the radius of a sphere is multiplied by two, its volume is multiplied by eight — i.e. by two cubed).

Read more about this topic:  Similarity (geometry)

Famous quotes containing the words galileo and/or law:

    Is it possible that I am not alone in believing that in the dispute between Galileo and the Church, the Church was right and the centre of man’s universe is the earth?
    Stephen Vizinczey (b. 1933)

    You’ve just fulfilled the first role of law enforcement. Make sure when your shift is over you go home alive.
    David Mamet, U.S. screenwriter, and Brian DePlama. Jimmy Malone (Sean Connery)