Mathematics & Computer Science
Brahmagupta's formula & Brahmagupta-Fibonacci identity
628 CEBrahmaguptaBrahmasphutasiddhantaPan-Indian / unspecified
628 CE
Formula for the area of a cyclic quadrilateral, and the identity that a product of sums of two squares is itself such a sum.
- Dated
- 628 CE
- As scholars put it
- 628 CE
- Originator
- Brahmagupta
- Source text
- Brahmasphutasiddhanta
- Region
- Pan-Indian / unspecified
- Discipline
- Mathematics & Computer Science
- Evidence
- Documented
- Confidence
- High
- Verification
- Verified-web
Meanwhile in the West
The identity is often credited to Fibonacci/Diophantus.
Fair to say
Diophantus knew related identities; Brahmagupta stated the general form.
Path to modern innovation
Used in geometry and number theory.
Transmission
Transmission via Arabic sources.
Primary sources
References
- 1Brahmasphutasiddhanta (628 CE)
Further reading
Corrections and additional sources: edit IND-013 on GitHub.