Vedic Math Sutras

16 Sutras and 13 Sub sutras (Corollary)

1. Ekadhikina Purvena (Corollary: Anurupyena), Meaning: By one more than the previous one

2. Nikhilam Navatashcaramam Dashatah (Corollary: Sisyate Sesasamjnah), Meaning: All from 9 and the last from 10

3. Urdhva-Tiryagbyham (Corollary: Adyamadyenantyamantyena), Meaning: Vertically and crosswise

4. Paraavartya Yojayet (Corollary: Kevalaih Saptakam Gunyat), Meaning: Transpose and adjust

5. Shunyam Saamyasamuccaye (Corollary: Vestanam), Meaning: When the sum is the same that sum is zero

6. (Anurupye) Shunyamanyat (Corollary: Yavadunam Tavadunam), Meaning: If one is in ratio, the other is zero

7. Sankalana-vyavakalanabhyam (Corollary: Yavadunam Tavadunikritya Varga Yojayet), Meaning: By addition and by subtraction

8. Puranapuranabyham (Corollary: Antyayordashake'pi), Meaning: By the completion or non-completion

9. Chalana-Kalanabyham (Corollary: Antyayoreva), Meaning: Differences and Similarities

10. Yaavadunam (Corollary: Samuccayagunitah), Meaning: Whatever the extent of its deficiency

11. Vyashtisamanstih (Corollary: Lopanasthapanabhyam), Meaning: Part and Whole

12. Shesanyankena Charamena (Corollary: Vilokanam), Meaning: The remainders by the last digit

13. Sopaantyadvayamantyam (Corollary: Gunitasamuccayah Samuccayagunitah), Meaning: The ultimate and twice the penultimate

14. Ekanyunena Purvena (Corollary: Dhvajanka), Meaning: By one less than the previous one

15. Gunitasamuchyah (Corollary: Dwandwa Yoga), Meaning: The product of the sum is equal to the sum of the product

16. Gunakasamuchyah (Corollary: Adyam Antyam Madhyam), Meaning: The factors of the sum is equal to the sum of the factors

Corollary  or Sub sutras Meaning

• 1. Anurupyena:- Proportionately

  2. Sisyate Sesasamjnah:- The Remainder Remains Constant

  3. Adyamadyenantyamantyena:- The First by the First and the Last by the Last

  4. Kevalaih Saptakam Gunyat:- For 7 the multiplicand is 143 

  5. Vestanam:- By Osculation

  6. Yavadunam Tavadunam:- Lessen by the Deficiency 

  7. Yavadunam Tavadunikritya Vargancha Yojayet:- Whatever the Deficiency lessen by that amount and set up the square of the deficiency

  8. Antyayordashake’pi:- Last Totalling 10

  9. Antyayoreva Differences and Similarities:- Only the Last Terms

  10. Samuccayagunitah:- The Sum of the Products

  11. Lopanasthapanabhyam:- By Alternative Elimination and Retention

  12. Vilokanam:- By Mere Observation

  13. Gunitasamuccayah Samuccayagunitah:- The Product of the Sum is the Sum of the Products

  14. Dhvajanka:- On the Flag

  15. Dwandwa Yoga:- Duplex combination

  16. Adyam Antyam Madhyam:- The Factors of the Sum is Equal to the Sum of Factors.

Each Sutras Applications and Examples ( Work in progress)