Ganittilakam Savrtuttikam

Author(s): Hiralal R Kapadia
Publisher: Oriental Research Institute Vadodra

Page 28

INTRODUCTION
Σχνη
Now a few words about their knowledge of the geometrical progression.
In Trilokasāra (gāthā 231), the rule for the summation of this series is mentioned. For examples see the vṛtti of its gāthās 796 and 797.
Gumahāni" is a term of the geometrically decreasing series, the sum of the number of terms of which is the number of molecules of a unit of bondage, and each term in which is half of the term immediately preceeding it. For example, if the maximum number of molecules which the soul draws in to bind itself with, in one instant be 6300, and the duration of their bondage be 48 samayas and there be 6 gunahānis or terms in the geometric series, then the number of the molecules shed in the 6 gunahānis will be respectively 3200, 1600, 800, 400, 200, and 100.
Here in each gunahāni there are 18=8 samayas. This is called gunahāni āyāma, i. e. the duration of the gunahāni.
The whole series of 6 gunahānis is called nānāgunahāni.
The number 2 raised to the power of the number of gunahāni in the nānāgunahāni is called anyonyabhyasta răs'i. In the above example it is=2°=64.
One samaya-prabaddha or unit of bondage divided by anyonyabhyasta rās'i minus one, gives the number of molecules
6300 6300 shed in the last or antima gunahāni. Here 02-7="03"=100 is the last gunahāni.
The double of the number of gunahāni āyāma is nis'e. kahāra. Here it is=8x2=16.
Chāyā is the regular arithmetical difference between any two consecutive terms of the series which represents the kārmika molecules shed in each successive samaya of which each gunahāni consists. In the above example in the gunahāni of 8 samayas, 3200 molecules are shed. In the first samaya more are shed than in the second, in the second more than in the third and so on. The number of molecules by which the
1 This entire topic of gunahāni etc., is practically here reproduced from "The Jaina Gem Dictionary” (pp. 46-47),