problem of Apollonius

proper noun

The problem, in Euclidean plane geometry, of constructing circles that are tangent to three given circles in a plane.

Similar
Apollonius's problemApollonian problem
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Meanings

proper nounthe problem of Apollonius
  1. geometryThe problem, in Euclidean plane geometry, of constructing circles that are tangent to three given circles in a plane.

    Synonyms: Apollonius's problem, Apollonian problem

Synonyms & antonyms

proper nounThe problem, in Euclidean plane geometry, of constructing circles that are tangent to three given circles in a plane.

Similar
Apollonius's problemApollonian problem
Also see
apollonian problemapollonius's problem

Origin

Apollonius of Perga posed and solved this famous problem in ancient times.

Full word history & related roots →
Cite this entry
APA

problem of Apollonius. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/problem%20of%20Apollonius

MLA

“problem of Apollonius.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/problem%20of%20Apollonius. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “problem of Apollonius,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/problem%20of%20Apollonius.

Source: problem of Apollonius on Wiktionary, CC BY-SA 4.0.