Tuesday, 24 June 2014

16 Sutras of Vedic Math

Vedic Math essentially rests on the 16 Sutras or mathematical formulas as referred to in the Vedas. Sri Sathya Sai Veda Pratishtan has compiled these 16 Sutras and 13 sub-Sutras. The links below take you to the explanation, meaning and methods of application with examples for these Sutras.

  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

 


Thanks,
Sameer Naik (Pune) (Cell 9730046246)

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