Re: Soddy

From: Ignacio Larrosa Cañestro (ilarrosaQUITARMAYUSCULAS_at_mundo-r.com)
Date: 10/24/04 

Date: Mon, 25 Oct 2004 00:37:41 +0200

Sunday, October 24, 2004 10:33 PM [GMT+1=CET],
Rainer Rosenthal <r.rosenthal@web.de> escribió:

> These days we discussed a funny question: Think of a square
> in the sand. Put stones 1, 2, 3 and 4 on each of the sides
> of the square. Wait two days. You see the stones but the
> square has vanished in the wind. How to reconstruct it?
>
> One very nice solution and a wild guess are being discussed
> now.

Trace the four circles that have as diemetres the segments that join stones
in consecutive sides. The vertices of the square must be on each one of that
circles. The diagonals of the square, angle bisectors, must pass throw the
midpoints of the semicircles innersto the square. Joinig this midpoints of
opposite circles, you get the diagonals. The vertices of the ssquare are
where they intersect the outer semicircles.

Best regards,

Ignacio Larrosa Cañestro
A Coruña (España)
ilarrosaQUITARMAYUSCULAS@mundo-r.com

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