
06520663
j
2016a.00620
Hoare, Graham
A theorem of Monge.
SYMmetryplus 57, 1213 (2015).
2015
Mathematical Association (MA), Leicester
EN
G40
G70
plane geometry
analytic geometry
circles
radical centre
power centre
tangents
radical axis
straight lines
intersection
concurrency
theorems
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).
Peter D\"urr (Linkenheim)