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Ábkeiskūkơ̄: the circle constant.


On Sun, Mar 14, 2010 at 6:56 PM, Alex Fink <[log in to unmask]> wrote:

> On Sun, 14 Mar 2010 16:37:06 -0400, Daniel Demski <[log in to unmask]>
> wrote:
>
> >In honor of pi day I ask, how is pi referred to in your conlang?
>
> I haven't named pi in any of my conlangs yet; I'm not sure whether any of
> their speaker communities have the mathematical abstraction to name the
> ratio, even if their surveyors' manuals and the like will contain
> approximations.
>
> The Sabasasaj speakers presumably use base 120 for numbers less than 1 even
> if they might use something else beyond 120 (I haven't decided!), and to
> them it would come very naturally to use the approximation 377/120: that's
> _sinaa im khjubia im lidaia phiansuuias_ three and ten and seven 120ths.
>
> Anyhow, it's really 2*pi which is the natural quantity mathematically: see
>  http://www.math.utah.edu/~palais/pi.html .
> It's basically a historical accident that half of 2*pi is the quantity that
> ended up with a name.  I might well choose a different rational multiple of
> it to name in a naturalistic conlang, if ever I get there.  One that seems
> tempting is pi/4, the ratio of both the area and the perimeter of a circle
> to its circumscribing square.
>
> Alex
>