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# Indian Mathematics c8.23

Indian Mathematics c8.23

- **Language:** English

### [c8.23](https://indike.org/pramana/ins.science.kaye-1915.c8.23)

| Indian Forms. | Equivalents. | References. |  
| 1. ya & 6 & ru & 300 / ya & 10 & ru & 100 | 6x+300=10x-100 | V. 104. |  
| 2. yava & 18 & ya & 0 & ru & 0 / yava & 16 & ya & 9 & ru & 18 | 18x²+0.x+0=16x²+9x+18 | Y. 133. |  
| 3. ya & va & va & 1 & ya & va & 2 & ya & 400 & ru & 0 / ya & va & va & 0 & ya & va & 0 & ya & 0 & ru & 9999 | x⁴-2x²+400x+0=0.x⁴+0.x²+0.x+9999 | V. 138. |  
| 4. ya & 197 & ka & 1644 & n & 1 & ru & 0 / ya & 0 & ka & 0 & n & 0 & ru & 6302 | 197x-1644y-z+0=0.x+0.y+0.z+6302 | Br. xviii, 55. |  
| 5. ka 6 ka 5 ka 2 ka 3 | √ 6+√ 5+√ 2+√ 3 | V. 37. |  
| 6. 1 & 1 & 1 & 1 / 4 & 3 & 6 & 12 / | ¼+⅓+⅙+1/12 | S. 7. |  
| 7. 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 / 1 & 2 & 1 & 2 & 3 & 1 & 2 & 3 & 5 / | 1×½+1×½×⅓+1×½×⅓×⅕ | |  
| 8. 10 & 163 & 4 & pha & 163 / 1 & 60 & 1 & & 150 / | 10 : 163/60 :: 4 : 163/150 | Bk. 27. |  
| 9. 1 / 1 / 1 / 2 / 2 / 9 / 1 / 4 / 6 / 10 / \qquad 10. 40 / 1 / 1 / 3+ / 1 / 4+ / 1 / 5+ / | 9. (1-½) (1-2/9) (1-¼) (1-6/10) 10. 40 (1-⅓) (1-¼) (1-⅕) | L. 53. Bk. 25. |

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## Cites (5)

- [Līlāvaī](https://indike.org/pramana/in.lit.kavya.prakrit.lilavai.133) — Kouhala, Māhārāṣṭrī Prakrit
- [Brāhmasphuṭasiddhānta](https://indike.org/pramana/in.astro.siddhanta.early.brahmasphutasiddhanta.18.55) — Brahmagupta, Sanskrit
- [Bījagaṇita](https://indike.org/pramana/in.astro.ganita.patibija.bijaganita-works.bijaganita) — Bhāskara II, Sanskrit
- [Bakhshālī Manuscript](https://indike.org/pramana/in.astro.ganita.patibija.pracina.bakhshali) — Sanskrit
- [Triśatikā (Pāṭīgaṇitasāra)](https://indike.org/pramana/in.astro.ganita.patibija.pracina.trisatika) — Śrīdhara (mathematician), Sanskrit

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Source: [https://indike.org/pramana/ins.science.kaye-1915.c8.23](https://indike.org/pramana/ins.science.kaye-1915.c8.23) · Pramāṇa
