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Topic: Calculating Pi using polygon sides sum / radius
Replies: 40   Last Post: Aug 2, 2013 5:27 PM

 Messages: [ Previous | Next ]
 Virgil Posts: 8,833 Registered: 1/6/11
Re: Calculating Pi using polygon sides sum / radius
Posted: Aug 1, 2013 7:37 PM

In article <51fae08d\$49\$fuzhry+tra\$mr2ice@news.patriot.net>,
Shmuel (Seymour J.) Metz <spamtrap@library.lspace.org.invalid> wrote:

> In <virgil-7D1E4A.15192201082013@BIGNEWS.USENETMONSTER.COM>, on
> 08/01/2013
> at 03:19 PM, Virgil <virgil@ligriv.com> said:
>

> >In article <54374a7a-0296-49a7-9ff2-b57692d90583@googlegroups.com>,
> > jonas.thornvall@gmail.com wrote:

>
> >> Well i do not intend to use any trigonometric functions, and honestly i
> >> always thought the ancients, did geometry *the correct way* not losing
> >> precision. By double up vertices and using fractions.

>
> >They did things "the correct way" so throughly, that they
> >couldn't even find the length of the diagagonals of a unit square.

>
> WTF? See, e.g.,
> <http://en.wikipedia.org/wiki/History_of_mathematics#Greek_mathematics>,
> <http://en.wikipedia.org/wiki/Square_root_of_2#Continued_fraction_representati
> on>

To the Pythagoreans, the diagonal of the unit square was an
incommesurable, not a number.
--

Date Subject Author
7/30/13 JT
7/30/13 JT
7/30/13 Peter Percival
7/30/13 JT
7/30/13 Richard Tobin
7/30/13 JT
7/30/13 Peter Percival
7/30/13 JT
7/30/13 JT
7/30/13 JT
7/30/13 JT
7/31/13 William Elliot
7/31/13 JT
7/31/13 Peter Percival
7/31/13 William Elliot
8/1/13 JT
8/1/13 JT
8/1/13 Virgil
8/1/13 Virgil
8/1/13 JT
8/1/13 JT
8/1/13 Virgil
8/1/13 JT
8/1/13 Virgil
8/1/13 Virgil
8/1/13 Shmuel (Seymour J.) Metz
8/1/13 Virgil
8/2/13 JT
8/2/13 JT
8/2/13 Virgil
8/2/13 JT
8/2/13 Virgil
8/2/13 Brian Q. Hutchings
8/2/13 Brian Q. Hutchings
8/2/13 Virgil
8/2/13 JT
8/2/13 Shmuel (Seymour J.) Metz
8/1/13 JT
8/1/13 Virgil
8/1/13 JT
8/1/13 Virgil