circle of Apollonius

名词 n.
中文释义

英文释义

名词 n.
  1. 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.
  2. 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).

词形变化

circles of Apollonius plural

词源

Named for the ancient Greek geometer and astronomer Apollonius of Perga (ca 262—ca 190 BCE).
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