id: 06520663
dt: j
an: 2016a.00620
au: Hoare, Graham
ti: A theorem of Monge.
so: SYMmetryplus 57, 12-13 (2015).
py: 2015
pu: Mathematical Association (MA), Leicester
la: EN
cc: G40 G70
ut: plane geometry; analytic geometry; circles; radical centre; power centre;
tangents; radical axis; straight lines; intersection; concurrency;
theorems
ci:
li:
ab: 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).
rv: Peter Dürr (Linkenheim)