Brahmagupta–Fibonacci identity

expression of a product of sums of squares as a sum of squares
Intangible theorem Q279090
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Brahmagupta–Fibonacci identity

Summary

Brahmagupta–Fibonacci identity is a theorem[1]. It draws 104 Wikipedia views per month (theorem category, ranking #218 of 1,306).[2]

Key Facts

  • Brahmagupta–Fibonacci identity's instance of is recorded as theorem[3].
  • Brahmagupta–Fibonacci identity's instance of is recorded as identity[4].
  • Brahmagupta is named after Brahmagupta–Fibonacci identity[5].
  • Fibonacci is named after Brahmagupta–Fibonacci identity[6].
  • Diophantus of Alexandria is named after Brahmagupta–Fibonacci identity[7].
  • Brahmagupta–Fibonacci identity's Freebase ID is recorded as /m/01w68r[8].
  • Brahmagupta–Fibonacci identity's defining formula is recorded as \left(a^2 + b^2\right)\left(c^2 + d^2\right) {}= \left(ac-bd\right)^2 + \left(ad+bc\right)^2= \left(ac+bd\right)^2 + \left(ad-bc\right)^2[9].
  • Brahmagupta–Fibonacci identity's studied by is recorded as number theory[10].
  • Brahmagupta–Fibonacci identity's MathWorld ID is recorded as FibonacciIdentity[11].
  • Brahmagupta–Fibonacci identity's maintained by WikiProject is recorded as WikiProject Mathematics[12].
  • Brahmagupta–Fibonacci identity's Brilliant Wiki ID is recorded as diophantus-identity[13].

Why It Matters

Brahmagupta–Fibonacci identity draws 104 Wikipedia views per month (theorem category, ranking #218 of 1,306).[2] It has Wikipedia articles in 16 language editions, a strong signal of global cultural recognition.[14] It is known by 4 alternative names across languages and contexts.[15]

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] . Freebase Data Dumps. wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [14] . Wikidata sitelinks. wikidata.org.
  3. [15] . 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). Brahmagupta–Fibonacci identity. Retrieved May 3, 2026, from https://4ort.xyz/entity/brahmagupta-fibonacci-identity
MLA “Brahmagupta–Fibonacci identity.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/brahmagupta-fibonacci-identity.
BibTeX @misc{4ortxyz_brahmagupta-fibonacci-identity_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Brahmagupta–Fibonacci identity}}, year = {2026}, url = {https://4ort.xyz/entity/brahmagupta-fibonacci-identity}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Brahmagupta–Fibonacci identity — https://4ort.xyz/entity/brahmagupta-fibonacci-identity (retrieved 2026-05-03)

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