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# Mathematics in Ancient and Medieval India c7.6

Mathematics in Ancient and Medieval India c7.6

- **Language:** English

### [c7.6](https://indike.org/pramana/ins.science.bag-1979.c7.6)

Equations ( \*samakaraṇa\*, \*samīkaraṇa\*, \*sadṛśīkaraṇa\* etc. ) seem to have been classified in the \*Sthānāṅgasūtra\* ( c. 300 B. C. ) according to the powers of unknown quantity e.g. \*yāvat-tāvat\* ( simple ), \*varga\* ( quadratic ), \*ghana\* ( cubic ), \*varga-varga\* ( biquadratic ) etc. But such classification was not maintained. Brahmagupta ( 628 A. D. ) gave the following classifications : ( 1 ) \*eka-varṇa samīkaraṇa\*—equations in one unknown comprising linear and quadratic equations, ( ii ) \*aneka-varṇa samīkaraṇa\*— equations in many unknowns, ( iii ) \*bhāvita\* — equations involving products of unknown. This classification received further elaboration at the hands of Pṛthūdakāsvāmī ( 860 A. D. ) and Bhāskara II ( 1150 A. D. ).

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## Cites (1)

- [Ṭhāṇaṃga](https://indike.org/pramana/in.jaina.sveta.anga.3) — Sudharman, Ardhamāgadhī Prakrit

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Source: [https://indike.org/pramana/ins.science.bag-1979.c7.6](https://indike.org/pramana/ins.science.bag-1979.c7.6) · Pramāṇa
