Cassini's identity

mathematical identity: F_{n - 1}F_{n + 1} - F_n^2 = (-1)^n
Thing identity Q123169377
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Cassini's identity

Summary

Cassini's identity is an identity[1]. It draws 2 Wikipedia views per month (identity category, ranking #20 of 17).[2]

Key Facts

  • Cassini's identity is credited with the discovery of Giovanni Domenico Cassini[3].
  • Cassini's identity is credited with the discovery of Robert Simson[4].
  • Cassini's identity's instance of is recorded as identity[5].
  • Cassini's identity's instance of is recorded as mathematical concept[6].
  • Giovanni Domenico Cassini is named after Cassini's identity[7].
  • Robert Simson is named after Cassini's identity[8].
  • Cassini's identity's defining formula is recorded as F_{n - 1}F_{n + 1} - F_n^2 = (-1)^n[9].
  • Cassini's identity's MathWorld ID is recorded as CassinisIdentity[10].
  • Cassini's identity's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • Cassini's identity's in defining formula is recorded as F_n[12].

Body

Works and Contributions

Credited discoveries include Giovanni Domenico Cassini[3], a selenographer[13], 1625–1712[14], awarded the Fellow of the Royal Society[15], specialised in astronomy[16] and Robert Simson[4], a mathematician[17], 1687–1768[18], of Kingdom of Great Britain[19].

Why It Matters

Cassini's identity draws 2 Wikipedia views per month (identity category, ranking #20 of 17).[2] It is known by 4 alternative names across languages and contexts.[20]

References

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

Direct Wikidata claims

  1. [5] . wikidata.org.
  2. [6] . wikidata.org.
  3. [3] . wikidata.org.
  4. [4] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.

Inline context (facts about related entities)

  1. [13] . Wikidata. wikidata.org. → on this site
  2. [14] . Wikidata. wikidata.org. → on this site
  3. [15] . Wikidata. wikidata.org. → on this site
  4. [16] . Wikidata. wikidata.org. → on this site
  5. [17] . Wikidata. wikidata.org. → on this site
  6. [18] . Wikidata. wikidata.org. → on this site
  7. [19] . Wikidata. wikidata.org. → on this site

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [20] . 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). Cassini's identity. Retrieved May 3, 2026, from https://4ort.xyz/entity/cassini-s-identity
MLA “Cassini's identity.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/cassini-s-identity.
BibTeX @misc{4ortxyz_cassini-s-identity_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Cassini's identity}}, year = {2026}, url = {https://4ort.xyz/entity/cassini-s-identity}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Cassini's identity — https://4ort.xyz/entity/cassini-s-identity (retrieved 2026-05-03)

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