### The sixteen sutras

**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: Vestanam*

__Meaning:__If one is in ratio, the other is zero

7 Sankalana-vyavakalanabhyam

*COROLLARY: Yavadunam Tavadunikritya Vargancha 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

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