\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2016a.00620}
\itemau{Hoare, Graham}
\itemti{A theorem of Monge.}
\itemso{SYMmetryplus 57, 12-13 (2015).}
\itemab
The article derives and illustrates a geometric theorem, which was first proved by Gaspard Monge. It states that the radical axes of any three circles are concurrent (where the radical axis of two circles is the locus of points from which tangents to the two circles have equal length).
\itemrv{Peter D\"urr (Linkenheim)}
\itemcc{G40 G70}
\itemut{plane geometry; analytic geometry; circles; radical centre; power centre; tangents; radical axis; straight lines; intersection; concurrency; theorems}
\itemli{}
\end