vedic Maths Main Sutras and sub-Sutras
Sutra/Sub-Sutra # Main Sutra (Sanskrit) English Transliteration Sub-Sutra (Corollary) English Translation

sutra 1

sutra one Ekaadhikena Purvena Aanuruupyena

By one more than the one before

sutra 2

sutra two Nikhilam Navatashcaramam Dashatah Shishyate Sheshasamjnah

All from 9 and the last from 10

sutra 3

sutra three Urdhva-Tiryagbhyaam Aadyamaadyenaantya-mantyena

Vertically and Cross-wise

sutra 4

sutra four Paraavartya Yojayet Kevalaih Saptakam Gunyaat

Transpose and Apply

sutra 5

sutra five Shunyam Saamyasamuccaye Veshtanam

If the Samuccaya is the Same it is Zero

sutra 6

(Aanuruupye) Shuunyamanyat Yaavaduunam Taavaduunam

If One is in Ratio the Other is Zero

sutra 7

sutra seven Sankalana-vyavakalanaabhyaam Yaavadunam Taavaduunikritya Vargancha Yojayet

By Addition and by Subtraction

sutra 8

sutra eight Puuranaapuuranaabyhaam Antyayordashake'pi

By the Completion or Non-Completion

sutra 9

sutra nine Chalana-Kalanaabhyaam Antyayoreva

Differential Calculus

sutra 10

sutra ten Yaavaduunam Samuccayagunitah

By the Deficiency

sutra 11

sutra eleven Vyashtisamashtih Lopanasthaapanaabhyaam

Specific and General

sutra 12

sutra twelve Sheshanyankena Charamena Gunitasamuccayah Samuccayagunitah

The Remainders by the Last Digit

sutra 13

sutra thirteen Sopaantyadvayamantyam  

The Ultimate and Twice the Penultimate

sutra 14

sutra fourteen Ekanyuunena Puurvena  

By One Less than the One Before

sutra 15

sutra fifteen Gunitasamuchayah  

The Product of the Sum

sutra 16

sutra sixteen Gunakasamuchayah  

All the Multipliers