circle of Apollonius noun2 •The figure (a generalised circle) definable as the locus of points P such that, for given points A, B and C, =/(\frac).In the present paper an attempt is made to find for the tetrahedron the analogues of the circles of Apollonius of the triangle. — 1934 •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). formscircles of Apollonius