Pappuss Theorem (also called Guldins Rule), which we introduced in Section 8.3, states
Chapter 16, Problem 46(choose chapter or problem)
Pappuss Theorem (also called Guldins Rule), which we introduced in Section 8.3, states that the area of a surface of revolution S is equal to the length L of the generating curve times the distance traversed by the center of mass. Use Eq. (14) to prove Pappuss Theorem. If C is the graph z = g(y) for c y d, then the center of mass is defined as the point (y, z) with y = 1 L C y ds, z = 1 L C zds
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