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1.       AlphaF
5677 posts 		 05 Dec 2012 Wed 09:35 am

Given three points, that are not collinear, it is always possible to construct three circles that are mutually tangent.
Given three mutually tangent circles, it is always possible to construct two new circles that are tangent to each of the three circles.
Given five such circles, one can make various patterns by using repetitive reflections in circles.

Interactive demo & How to do it:
http://www.malinc.se/math/geometry/dothisen.php
Apollonius Circles from Wolfram MathWorld:
http://mathworld.wolfram.com/ApolloniusCircle.html
The Kiss Precise by Frederick Soddy
http://www.pballew.net/soddy.html
{#emotions_dlg.rolleyes}
2.       Abla
3648 posts 		 05 Dec 2012 Wed 04:22 pm

--- Arşimet kum üzerine çizdiği çemberlerle hesaplar yapmaktadır. Elinde boynuna vurulmak üzere kaldırılan bir kılıçla yaklaşan romalı askere aldırmaz bile. Başını hesaplarından kaldırmadan "çemberlerime dokunma" der. Arşimet´in kesik başı çemberlerin arasına düşer. (Vikipedi)

 

dokunmak + DAT

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