Aryabhatiya

E677775

Aryabhatiya is an influential 5th-century Indian mathematical and astronomical treatise that introduced advanced concepts such as place-value notation, trigonometric functions, and accurate astronomical calculations.

All labels observed (3)

Label Occurrences
Aryabhatiya canonical 9
Aryabhatiyabhashya 1
Āryabhaṭīya 1

How this entity was disambiguated

Statements (50)

Predicate Object
instanceOf Sanskrit text ⓘ
astronomical treatise ⓘ
mathematical treatise ⓘ
approximateValueOfPi 3.1416 ⓘ
author Aryabhata ⓘ
century 5th century ⓘ
circulation widely studied in medieval India ⓘ
commentedOnBy Bhaskara I ⓘ
Nilakantha Somayaji ⓘ
contains algebra ⓘ
geometry ⓘ
number theory ⓘ
planetary models ⓘ
spherical astronomy ⓘ
trigonometry ⓘ
countryOfOrigin India ⓘ
dateWritten 499 ⓘ
describes calculation of eclipses ⓘ
indeterminate equations ⓘ
lunar month length ⓘ
mean motions of planets ⓘ
methods for extracting cube roots ⓘ
methods for extracting square roots ⓘ
rules for arithmetic operations ⓘ
sidereal periods of planets ⓘ
solar year length ⓘ
solutions of linear equations ⓘ
field astronomy ⓘ
mathematics ⓘ
hasPart Ganitapada ⓘ
Gitikapada ⓘ
Golapada ⓘ
Kalakriyapada ⓘ
influenced Indian mathematics ⓘ
Islamic astronomy ⓘ
Islamic mathematics ⓘ
later Indian astronomers ⓘ
introducedConcept approximation of pi ⓘ
cosine-like function ⓘ
place-value notation ⓘ
sine function ⓘ
table of sines ⓘ
trigonometric functions ⓘ
versine ⓘ
language Sanskrit ⓘ
meter Arya meter ⓘ
structure four chapters ⓘ
uses epicyclic theory ⓘ
geocentric model ⓘ
verseForm shloka ⓘ

How these facts were elicited

Referenced by (11)

Full triples — surface form annotated when it differs from this entity's canonical label.

Aryabhata → knownFor → Aryabhatiya ⓘ
Aryabhata → authorOf → Aryabhatiya ⓘ
Indian mathematics → hasNotableWork → Aryabhatiya ⓘ
Siddhanta Shiromani → influencedBy → Aryabhatiya ⓘ
Bhaskara I → wrote → Aryabhatiyabhashya ⓘ
linked to: Aryabhatiya
Bhaskara I → commentaryOn → Aryabhatiya ⓘ
Gitika (section of Aryabhatiya) → partOf → Aryabhatiya ⓘ
Gupta and post-Gupta scientific culture → hasKeyText → Āryabhaṭīya ⓘ
linked to: Aryabhatiya