Number | Name | Meaning | Application |
Sutra 1 | Ekadhikena Purnvena | By one more than the previous one. |
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Sutra 2 | Nikhilam Navatashcaramam Dashatah | All from 9 and the last from 10 |
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Sutra 3 | Urdhva Tiryagbyham | Vertically and Crosswise |
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Sutra 4 | Paraavartya Yojayet | Transpose and Apply |
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Sutra 5 | Sunyam Saamya Samuccaye | Equated to Zero |
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Sutra 6 | Anurupye - Sunyamanyat | If one is in ratio, the other one is zero. |
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Sutra 7 | Sankalana - Vyavakalanabhyam | By addition and by subtraction. |
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Sutra 8 | Puranapuranabhyam | By completion or by non-completion. |
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Sutra 9 | Chalana - Kalanabhyam | Sequential motion. |
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Sutra 10 | Ekanyunena Purvena | One less than the previous one. |
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Sutra 11 | Yavadunam | The deficiency. | These all Sutras have various applications in different contexts and are often also applied along with the above-mentioned Sutras. |
Sutra 12 | Vyastisamashtih | Whole as one and one as whole. | |
Sutra 13 | Sesanyan Kena Caramena | Remainder by the last digit. | |
Sutra 14 | Sopantyadvayamantyam | Ultimate and twice the penultimate. | |
Sutra 15 | Gunitasamuccayah | The whole product is the same. | |
Sutra 16 | Gunaka Samuccayah | Collectivity of multipliers. |
No. | Name | Parent Sutra | Meaning | Application |
Sub-Sutra 1 | Anurupyena | Ekadhikina Purvena | Proportionality |
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Sub-Sutra 2 | Adyamadyenantya-Mantyena | Urdhva-Tiryagbyham | The first by the first and the last by the last. |
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Sub-Sutra 3 | Yavadunam Tavadunikrtya Varganca Yojayet | Sankalana-Vyavakalanabhyam | Whatever the deficiency, subtract that deficit from the number and write alongside the square of that deficit |
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Sub-Sutra 4 | Antyayor Dasakepi | Puranapuranabyham | Sum of last digits is 10. |
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Sub-Sutra 5 | Antyayoreva | Chalana - Kalanabhyam | Only the last terms. |
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Sub-Sutra 6 | Lopana Sthapanabhyam | Vyashtisamanstih | By alternate elimination and retention. |
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Sub-Sutra 7 | Vilokanam | Sesanyan Kena Caramena | Observation. |
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Sub-Sutra 8 | Gunita Samuccayah-Samuccaya Gunitah | Sopantyadvayamantyam | The product of the sum of coefficients is equal to the sum of coefficients in the product. |
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Sub-Sutra 9 | Sisyate Sesasamjnah | Nikhilam Navatashcaramam Dashatah | All from 9 and last from 10. |
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Sub-Sutra 10 | Kevalaih Saptakam Gunyat | Paraavartya Yojayet | In case of 7 multiplicands should be 143. |
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Sub-Sutra 11 | Vestanam | Sunyam Saamya Samuccaye | By osculation. |
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Sub-Sutra 12 | Yavadunam Tavadunam | Anurupye - Sunyamanyat | Lessen by the deficiency. |
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Sub-Sutra 13 | Samuccayagunitah | Yavadunam | By the deficiency. |
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