The Second Theorem
The second theorem states that the volume V of a solid of revolution generated by rotating a plane figure F about an external axis is equal to the product of the area A of F and the distance d traveled by its geometric centroid.
For example, the volume of the torus with minor radius r and major radius R is
Read more about this topic: Pappus's Centroid Theorem
Famous quotes containing the words the second and/or theorem:
“I will name you the degrees. The first, the Retort Courteous; the second, the Quip Modest; the third, the Reply Churlish; the fourth, the Reproof Valiant; the fifth, the Countercheck Quarrelsome; the sixth, the Lie with Circumstance; the seventh, the Lie Direct.”
—William Shakespeare (1564–1616)
“To insure the adoration of a theorem for any length of time, faith is not enough, a police force is needed as well.”
—Albert Camus (1913–1960)