cross-ratio

invariant under projective transformations
Thing general Q899539
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cross-ratio

Summary

cross-ratio ranks in the top 2% of general entities by monthly Wikipedia readership (158 views/month).[1]

Key Facts

  • cross-ratio's subclass of is recorded as ratio[2].
  • cross-ratio's Freebase ID is recorded as /m/023yz8[3].
  • cross-ratio's described by source is recorded as Brockhaus and Efron Encyclopedic Dictionary[4].
  • cross-ratio's described by source is recorded as Armenian Soviet Encyclopedia, vol. 5[5].
  • cross-ratio's Encyclopædia Britannica Online ID is recorded as topic/cross-ratio[6].
  • cross-ratio's defining formula is recorded as [a, b, c, d] = \frac{(a - b) (c - d)}{(a - d) (c - b)}[7].
  • cross-ratio's MathWorld ID is recorded as CrossRatio[8].
  • cross-ratio's nLab ID is recorded as cross ratio[9].
  • cross-ratio's maintained by WikiProject is recorded as WikiProject Mathematics[10].
  • cross-ratio's Microsoft Academic ID is recorded as 101586328[11].
  • cross-ratio's ProofWiki ID is recorded as Definition:Cross-Ratio/Complex_Analysis[12].
  • cross-ratio's in defining formula is recorded as [a, b, c, d][13].
  • cross-ratio's in defining formula is recorded as a[14].
  • cross-ratio's in defining formula is recorded as b[15].
  • cross-ratio's in defining formula is recorded as c[16].
  • cross-ratio's in defining formula is recorded as d[17].
  • cross-ratio's OpenAlex ID is recorded as C101586328[18].
  • cross-ratio's Digital Library of Mathematical Functions ID is recorded as 1.9.E45[19].
  • cross-ratio's invariant under is recorded as homography[20].

Why It Matters

cross-ratio ranks in the top 2% of general entities by monthly Wikipedia readership (158 views/month).[1] cross-ratio has Wikipedia articles in 20 language editions, a strong signal of global cultural recognition.[21] cross-ratio is known by 13 alternative names across languages and contexts.[22]

References

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

Direct Wikidata claims

  1. [2] . wikidata.org.
  2. [3] . Freebase Data Dumps. wikidata.org.
  3. [4] . wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . wikidata.org.
  10. [11] . wikidata.org.
  11. [12] . wikidata.org.
  12. [13] . wikidata.org.
  13. [14] . wikidata.org.
  14. [15] . wikidata.org.
  15. [16] . wikidata.org.
  16. [17] . wikidata.org.
  17. [18] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  18. [19] . wikidata.org.
  19. [20] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [21] . Wikidata sitelinks. wikidata.org.
  3. [22] . 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). cross-ratio. Retrieved April 10, 2026, from https://4ort.xyz/entity/cross-ratio
MLA “cross-ratio.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/cross-ratio.
BibTeX @misc{4ortxyz_cross-ratio_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{cross-ratio}}, year = {2026}, url = {https://4ort.xyz/entity/cross-ratio}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): cross-ratio — https://4ort.xyz/entity/cross-ratio (retrieved 2026-04-10)

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