English Dictionary

circle of Apollonius

noun

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

The circle of Apollonius is a geometric construction that consists of all points that are equidistant from a given point (known as the focus) and a given line (known as the directrix).

意味（1）

(geometry) 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.

意味（2）

(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).