Reference

Aryabhatiya

Aryabhatiya — what it is, what it added, and what we retired from it.

Aryabhatiya — Aryabhata, translated by Walter Eugene Clark.

Edition consulted: University of Chicago Press, 1930; translated with notes, on Kern’s Leiden text of 1874.

What kind of text this is

Access is through a hostile recension. Clark states that Kern’s edition ‘makes no pretense of giving a really critical text’ and ‘gives merely the text which the sixteenth-century commentator Paramesvara had before him’ - the same Paramesvara who read bham for bhuh at I.4 ‘in order to eliminate Aryabhata’s theory of the rotation of the Earth’. The true reading survives only in Brahmagupta’s hostile quotation (BSS XI.17). Clark calls his own translation ‘a preliminary study based on inadequate material’.

What it contributed

earth-rotation-dissent — novel. Axial rotation asserted in 499 CE at I.1, I.4, III.5, IV.9 and colophon C, with the sidereal-day count welded into the yuga constants. IV.10 contradicts it and the editor leaves the contradiction open.

The corpus contains a correct, testable dissent against its own orthodoxy - and a record of how the tradition put it down. Nothing else in the model documents a suppressed right answer.

claim-from-editorial-emendation — refinement. bhuh (Earth) changed to bham (asterism) at I.4 ‘in order to eliminate Aryabhata’s theory of the rotation of the Earth’. Recovered only from Brahmagupta’s hostile quotation, BSS XI.17.

Same mechanism as the Panchasiddhantika case, opposite sign: there two emendations manufactured a claim never made; here one deleted a claim that was. And the correction came from an enemy’s citation.

rotation-not-heliocentrism — novel. Clark on IV.10 - ‘The latter is out of the question’ - with III.15 (Earth ‘like a hitching-post’ in the centre) and IV.6 (khamadhyagatah). Geocentric with a rotating Earth.

Settles from the primary text the conflation flagged in Kalaprakasika: the heliocentrism claim is his admirers’, not his.

dissent-answered-by-smrti — novel. Brahmagupta attacks Aryabhata some sixty times, ‘bitterest’ where he ‘differed from smrti’. But BSS XI.17 is a real physics objection - if the Earth turns, why do upright things not fall. Lalla keeps the constants and swaps ‘revolutions of the Earth’ for ‘revolutions of the asterisms’.

A testable claim answered chiefly by scriptural authority - and a transmission channel carrying numbers faithfully while losing the claim they were numbers about. Both grounds must be stated or the argument collapses.

author-dates-himself — novel. III.10 resolves to 499 CE, birth 476 CE; school named at II.1; quoted by Brahmagupta 129 years later.

The dating benchmark for the corpus - what a securely dated classical text looks like.

precision-claimed-unevenly — novel. II.10 hedges pi (3.1416, error 2.3e-6) as ‘approximately’; II.7 calls a sphere-volume rule ‘exact’ that is 33% high; II.6 pyramid volume 50% high.

A classical text’s own confidence markers do not track its accuracy. The argument for checking rather than trusting every ‘exact’ in the corpus.

astronomy-without-astrology — novel. 123 stanzas with no lagna, bhava, yoga, dasha, muhurta or prediction - and zero hits for caste, varna, stri, jati, slave, marriage, women.

Ganita and jataka were separable in 499 CE and one stood alone. The one text with no predictive content is also the one with no social content - evidence about where the caste and gender material entered.

astronomy-holds — refinement. Sidereal year 365.25868 d (3.3 min long), implied sidereal day 86164.10 s vs 86164.0905 s, sidereal month within 0.65 s, pi to 2.3e-6, sine radius R=3438 the correct rounding of 3437.75.

Turns ‘the astronomy holds’ from an adjective into a table. The day figure is a ratio from his own year, so errors partly cancel - stated, not quoted as independent.

eclipse-without-rahu — novel. IV.37 - ‘The Moon obscures the Sun and the great shadow of the Earth obscures the Moon’ - shadow cone computed at IV.39. Rahu occurs nowhere.

The essence-test applied by a 5th-century author to his own subject: the myth is not refuted, it is simply not load-bearing once the mechanism is written down.

criticism-misattributes-its-target — novel. Brahmagupta BSS XI.9 attacks Aryabhata on eclipses; Clark: ‘There is no such statement in our text and Brahmagupta himself ascribes eclipses to Rahu.’

A named classical critic misquotes his target. Verify-before-repeating applies to the 7th-century secondary literature too.

compilation-is-traditional — contradiction. Aryabhata names no human predecessor in 123 stanzas - only a deity and a school.

Open declaration of compilation is a strong tendency, not a law. Recording the exception stops the generalisation hardening into a claim the corpus contradicts.

greek-transmission — refinement. An ABSENCE argument: zero hits for yavana, mleccha, greek or barbarian in the text proper. The one corpus text with no horoscopic content carries no transmission vocabulary.

Consistent with Greek material entering via the jataka branch rather than ganita. NOTE: the counter now reads greek-transmission x6, but five are positive attestations and the sixth is this absence.

romaka-confession — refinement. IV.13-14 put Romaka 90 degrees west of Lanka - the same geography Burgess derives from Surya Siddhanta XII.39.

Corroborates the LOCATION only, not the confession conjecture. The x2 counter must be quoted with that caveat.

weekday-lords-derived-geometrically — novel. III.15-16 derive the weekday rulers from orbital order: rank the seven by orbital size, take every fourth, and the week falls out.

The Hora layer in our daily readings has a stated 499 CE geometric derivation - a reproducible convention carrying no claim about influence, and it should be described to readers in exactly those terms.

classical-not-correct — refinement. Clark’s preface: pyramid and sphere volumes ‘are both given incorrectly by Aryabhata’. He says so while treating the work as foundational.

Second editor documenting outright error while judging the text valuable. Priority is not accuracy.

translator-dependence — refinement. Kern’s text ‘gives merely the text which the sixteenth-century commentator Paramesvara had before him’ - the man who emended away the rotation doctrine.

The strongest access caveat in the folder: the most famous dissent in Indian astronomy reaches us through the recension of someone committed to denying it.

revelation-frame-separable — refinement. IV.50 curses disparagers, IV.49 credits ‘the grace of God’, colophon C promises the knower ‘goes to the higher Brahman’.

A penalty clause against criticism sits in the text that got the Earth’s rotation right - so the wrapper cannot be what made the content good.

What we do not carry from it

• IV.49-50, colophon C — A penalty clause against criticism and a salvific reward for adherents are authority devices, not structural observations. They also contradict the text’s own practice: its value is in checkable computation, which invites the disparagement the verse forbids.

Reading the text yourself

We quote and cite; we do not republish. Most translations in this corpus are in copyright, and the public-domain ones are better served by the Internet Archive than by a copy here. Citations give chapter and verse so any claim can be checked against your own edition.