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# Mathematics in Ancient and Medieval India c8.s3.60

Mathematics in Ancient and Medieval India c8.s3.60

- **Language:** English

### [c8.s3.60](https://indike.org/pramana/ins.science.bag-1979.c8.s3.60)

Fortunately the passages beginning with \*vidvān\* and \*stena\* referred to in the above verses have been preserved in both \*Āryabhaṭīyabhāṣya\* (TSS 101, p. 113; \*yukti-bhāṣā\*, p. 145) of Nīlakaṇṭha (1443-1545) and \*Karaṇa-paddhati\* (ch. 6. vss. 14-15). In the former it has been clearly stated that the values of the first five terms t₅, t₄, t₃, t₂, t₁ of the eqn (1) and of t₆', t₅', t₄', t₃', t'₂ and t₁' of eqn (2) were given by Mādhava (\*evāha mādhavah\*) when s = 5400' and r = 3437' 44″ 43″'. The values are : \*vidvā\* (= 44″ = t₅), \*tunna bala\* (= 33″ 6″' = t₄), \*kaviśanicaya\* (= 16' 5″ 41″' = t₃), \*sarvārthaśīlasthiro\* (= 273' 57″ 47″' = t₂), \*nirvirdhāṅga - narendrarung\* (= 2220' 39″ 40″' = t₁) and \*stena\* (= 6″' = t₆'), \*stripiśuna\* (= 5″ 12″' = t₅') \*sugandhinaganud\* (= 3' 9″ 37″' = t₄'), \*bhadrāṅgabhavyāsana\* (= 71' 43″ 24″' = t₃'), \*mīnāṅganara-simha\* (= 872' 3″ 5″' = t₂'), \*unadhanakṛtbhūreva\* (= 4241' 9″ 0″' = t₁).

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## Cites (2)

- [Yuktibhāṣā (Gaṇitayuktibhāṣā)](https://indike.org/pramana/in.astro.kerala.golayukti.yuktibhasa) — Jyeṣṭhadeva 1520, Malayalam
- [Karaṇapaddhati](https://indike.org/pramana/in.astro.kerala.tantra.karanapaddhati) — Putumana Somayājī 1660, Sanskrit

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Source: [https://indike.org/pramana/ins.science.bag-1979.c8.s3.60](https://indike.org/pramana/ins.science.bag-1979.c8.s3.60) · Pramāṇa
