English Dictionary

circle of Apollonius

名詞

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

日本語の意味

幾何学において、与えられた点 A, B, C に対して、特定の比率（たとえば点 P と各点との距離の比）が一定となる点の軌跡として定義される、一般化された円（または円に類似した図形）を指す。

To locate all points P that satisfy the given distance ratio from A and B, the geometer drew the circle of Apollonius on the diagram and labeled the intersections.

与えられたAとBからの距離の比を満たす点Pを見つけるために、幾何学者は図にアポロニウスの円を描いて交点にラベルを付けた。

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).

circles of Apollonius （ plural ）