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hajduk
11-23-2010, 09:55 AM
Radko Kolev, a 19 year old Bulgarian highschool student, has solved the 2000 year old geometric problem of Apollonius in a new and unique way.

The problem of Apollonius is to construct circles that are tangent to three given circles in a plane. Apollonius of Perga (ca. 262 BC – ca. 190 BC) posed and solved this famous problem in his work "Tangencies"

The problem of Apollonius requires straightedge and compass construction which has made it so interesting and many mathematicians have tried to solve it.

The last known solution of this kind dates back to the nineteenth century and is done by Joseph Gergonne. The young Bulgarian's solution is only the fifth known in history
http://www.novinite.com/view_news.php?id=122377

lei.talk
11-23-2010, 12:46 PM
http://upload.wikimedia.org/wikipedia/commons/b/b4/Apollonius_solution_breathing_nolabels.gif (http://en.wikipedia.org/wiki/Problem_of_Apollonius)