circle of Apollonius

Noun

Meaning

(geometry) The figure (a generalised circle) definable as the locus of points P such that, for given points A, B and C,







|

A
P

|




|

B
P

|




=




|

A
C

|




|

B
C

|






{\displaystyle {\frac {|AP|}{|BP|}}={\frac {|AC|}{|BC|}}}

.

(geometry) Any of eight circles (including degenerate cases) that, for a given set of three circles, solve the problem of Apollonius (i.e., intersect each circle tangentially).

Close letter words and terms