Abstract
). This rule was rediscovered in 1641 by P. Guldin and was also proved by severalmathematicians of the 17th century, such as Kepler and Cavalieri. For that reason,the rule is mainly known as the Pappus-Guldin theorem. In [2] and [16] one can findtwo reasons which explain why the mathematicians of the early 17th century didnot know the Pappus rule. In any case, both articles of the History of Mathematicsconclude that P. Guldin did not plagiarize Pappus.In 1969 A. W. Goodman and G. Goodman [8] developed a generalization ofthe Pappus-Guldin theorem for domains D generated by moving a plane region D
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