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circles of Apollonius

a family of circles where every one intersects every circle in a second family of circles orthogonally
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circles of Apollonius

Summary

circles of Apollonius is a dividing ratio[1]. It has Wikipedia articles in 15 language editions, a strong signal of global cultural recognition.[2]

Key Facts

  • circles of Apollonius's instance of is recorded as dividing ratio[3].
  • circles of Apollonius's instance of is recorded as mathematical concept[4].
  • Apollonius of Perga is named after circles of Apollonius[5].
  • circles of Apollonius's Commons category is recorded as Circles of Apollonius[6].
  • circles of Apollonius's Commons category is recorded as Apollonius' theorem[7].
  • circles of Apollonius's different from is recorded as Apollonian gasket[8].
  • circles of Apollonius's maintained by WikiProject is recorded as WikiProject Mathematics[9].

Body

Definition and Type

Recorded instance of include dividing ratio[3] and mathematical concept[4].

Origins

Apollonius of Perga is named after circles of Apollonius[5].

Why It Matters

circles of Apollonius has Wikipedia articles in 15 language editions, a strong signal of global cultural recognition.[2] It is known by 12 alternative names across languages and contexts.[10]

Related Entities

Apollonius of Perga

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . wikidata.org.
  3. [5] ↑ . wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikidata sitelinks. wikidata.org.
  2. [10] ↑ . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). circles of Apollonius. Retrieved May 3, 2026, from https://4ort.xyz/entity/circles-of-apollonius
MLA “circles of Apollonius.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/circles-of-apollonius.
BibTeX @misc{4ortxyz_circles-of-apollonius_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{circles of Apollonius}}, year = {2026}, url = {https://4ort.xyz/entity/circles-of-apollonius}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): circles of Apollonius — https://4ort.xyz/entity/circles-of-apollonius (retrieved 2026-05-03)

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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 3d ago · Michel Bakni · 2026-06-28 view diff on Wikidata ↗
    Aliases → —
    Image → Apollonian circles.svg
    Instance of → —
    Maintained by wikiproject → WikiProject Mathematics
    + 5 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:2||1 */ [[Property:P18]]: Apollonian circles.svg"
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