Re: How?Prove polygon->circle, area->max

From: "Ioannis" <morpheus@xxxxxxxxxxxx>
Date: Sun, 15 Jul 2007 21:00:10 +0300

Steve Ro wrote:

If the number of sides (N) of a regular polygon increases the area
approaches that of a circle (within which it is inscribed) - I want to
be able to show what value the area of the polygon approaches as N-

infinity for a given value of the circumference (C).

[snip]

I may get there in the end but maybe I'm tackling it the wrong way or
I've missed something. A bit of help would be appreciated.

For a modern variant of this method which derives both the area and the
circumference, see:
http://ioannis.virtualcomposer2000.com/math/Archimedes.html

cheers

--
I.N. Galidakis --- http://ioannis.virtualcomposer2000.com/

.

References:
- How?Prove polygon->circle, area->max
  - From: Steve Ro

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