Jain Journal 1990 07

Author(s): Jain Bhawan Publication
Publisher: Jain Bhawan Publication

Page 19

14
-35
(a) Derived out of multiplication:
(1) Varga-square-Varga (x)=x2
Uttarottara Varga-higher squares-Uttarottara Varga (x)=x" where n is samkhyāta
(2) Prathama vargamula34 square root-1st vargamula (x)=2√x Dvitiya vargamula-4th root-2nd vargamüla (x)='√x Trtiya vargamula-8th root-3rd vargamula (x)=1√x
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(3) Ghana35_cube-Ghana (x)=x3
Ghanaghana-cube of cube-Ghanaghana (x)=x9
(4) Vargitasamvargita3
1st Vargitasamvargita (x)=x*=y 2nd Vargitasamargita (x)=y"=z 3rd Vargitasamvargita (x)=z2
quantity raised to the power of itself
(b) Derived out of division:
(1) Ardhaccheda37-number of times a quantity can be halfed Ardhaccheda (x)=log, x
(2) Trikaccheda 38-number of times a quantity can be divided by 3 Trikaccheda (x)=log, X
(3) Caturthiaccheda39-number of times a quantity can be divided by 4 Caturthaccheda (x)=log, x
36 Ibid., p 20
37 Ibid., p 21
38 Ibid., p 56
39 Ibid., p 56
40 Ibid., p 21
(c) Derived out of addition:
Only addition of physical actual infinites are permitted, like the addition operation when calculating 8 and 240
(see Table III)
34 Dhavala [III, pp 74-75]
Dhavala [III, pp 60-61]. For example Ghana(16)=4096 and Ghanaghana x-x' and Prathama Vargamula of Ghanaghana (16)=262144.