Fork me on GitHub
Math for the people, by the people.

User login

Pappus's centroid theorem

Synonym: 
Guldin's rule, Guldinus theorem, Guldin's theorem, Pappus's theorem for solids of revolution, Pappus's theorem for surfaces of revolution
Type of Math Object: 
Theorem
Major Section: 
Reference

Mathematics Subject Classification

53A05 no label found

Comments

I'm pretty sure that theorem 1 of the present entry
should work also for rectifiable curves, not merely smooth curves[*];
however I don't know about geometric measure theory in order to prove it.
Can anyone confirm if my conjecture is correct?

[*] N.B. Theorem 2 already allows arbitrary Lebesgue-measurable regions;
this is not hard to prove with the classic measure theory tools.

// Steve

Subscribe to Comments for "Pappus's centroid theorem"