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Re: area of a sphere



At 10:08 AM 4/18/00 -0600, crawford j maccallum wrote:
>In the spirit of "ask and ye shall receive", can someone point me to a
>simple proof that the area of a sphere is that of four great
>circles?

Reference: _On The Sphere and Cylinder_ by Archimedes.

The following secondary source by Sherman Stein may be more accessible:
http://www.amazon.com/exec/obidos/ASIN/0883857189

See also
http://www-history.mcs.st-and.ac.uk/history/Mathematicians/Archimedes.html
and references therein.

Honorable mention to Eudoxus, whose methods Archimedes used.