circle of Apollonius

noun

Etymology

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

Definitions

  1. The figure (a generalised circle) definable as the locus of points P such that, for given…

    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,…

    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).

The neighborhood

Vish — recursive loop

No curated loop yet for circle of Apollonius. Loops are being traced one word at a time while the ingestion pipeline matures.

sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA