vedic Maths Main Sutras and sub-Sutras
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| Sutra/Sub-Sutra # |
Main Sutra (Sanskrit) |
English Transliteration |
Sub-Sutra (Corollary) |
English Translation |
sutra 1 |
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Ekaadhikena Purvena |
Aanuruupyena |
By one more than the one before |
sutra 2 |
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Nikhilam Navatashcaramam Dashatah |
Shishyate Sheshasamjnah |
All from 9 and the last from 10 |
sutra 3 |
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Urdhva-Tiryagbhyaam |
Aadyamaadyenaantya-mantyena |
Vertically and Cross-wise |
sutra 4 |
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Paraavartya Yojayet |
Kevalaih Saptakam Gunyaat |
Transpose and Apply |
sutra 5 |
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Shunyam Saamyasamuccaye |
Veshtanam |
If the Samuccaya is the Same it is Zero |
sutra 6 |
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(Aanuruupye) Shuunyamanyat |
Yaavaduunam Taavaduunam |
If One is in Ratio the Other is Zero |
sutra 7 |
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Sankalana-vyavakalanaabhyaam |
Yaavadunam Taavaduunikritya Vargancha Yojayet |
By Addition and by Subtraction |
sutra 8 |
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Puuranaapuuranaabyhaam |
Antyayordashake'pi |
By the Completion or Non-Completion |
sutra 9 |
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Chalana-Kalanaabhyaam |
Antyayoreva |
Differential Calculus |
sutra 10 |
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Yaavaduunam |
Samuccayagunitah |
By the Deficiency |
sutra 11 |
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Vyashtisamashtih |
Lopanasthaapanaabhyaam |
Specific and General |
sutra 12 |
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Sheshanyankena Charamena |
Gunitasamuccayah Samuccayagunitah |
The Remainders by the Last Digit |
sutra 13 |
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Sopaantyadvayamantyam |
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The Ultimate and Twice the Penultimate |
sutra 14 |
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Ekanyuunena Puurvena |
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By One Less than the One Before |
sutra 15 |
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Gunitasamuchayah |
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The Product of the Sum |
sutra 16 |
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Gunakasamuchayah |
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All the Multipliers |