Mathematics in Ancient and Medieval India c8.s3.60

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).