\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2014f.00641}
\itemau{Vallo, Du\v{s}an; \v{D}uri\v{s}, Viliam}
\itemti{Notes on solution of Apollonius' problem.}
\itemso{\v{S}ediv\'y, Ondrej (ed.) et al., Acta Mathematica 17. Proceedings of the 12th Nitra mathematics conference, Department of Mathematics, Faculty of Natural Sciences, Constantine The Philosopher University in Nitra, Slovakia, June 19, 2014. Nitra: Constantine The Philosopher University in Nitra, Faculty of Natural Sciences (ISBN 978-80-558-0613-6). Pr{\'\i}rodovedec 578, 181-188 (2014).}
\itemab
Summary: In our paper we concerned with a problem of Apollonius which is signed as CCC in symbolic way in relevant sources. The idea of finding a solution is based on using specific circle inversion in a manner which is not conventional. An original construction of the center of inversion causes that inversion maps given circles into three circles of equal radii. This approach substantially simplifies the solution. Some little methodological instructions to using dynamical software are implemented, too.
\itemrv{~}
\itemcc{G45 G55 G95}
\itemut{Apollonius' problem; circle inversion; pencils of circles; radical axis}
\itemli{http://www.nmk.fpv.ukf.sk/2014/proceedings/25\_vallo\_duris\_fulltext.pdf}
\end