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98
Vaishali Institute Research Bulletin No. 4
Similarly, in the 3rd places of the variations, S is written in the first four variations and the I in the next four variations and then agains S, in the next four variations and so on and so forth.
According to the rules, variations of the metre having 5 letters (along with their serial numbers) are as given below; those for 4 letters has already been given earlier. (1) SSSSS (9) SSSIS (17) SSSSI
(25) SSSII (2) ISSSS (10) ISSIS (18) ISSSI
(26) ISSIT SISSS (11) SISIS (19) SISSI
(27) SISII ISSS (12) IISIS (20) IISSI
(28) ISIL SSISS (13) SSIIS (21) SSISI
(29) SSIIT ISISS (14) SIIS (22) ISISI
(90) ISIII SIISS (15) SUIS (23) SIISI
(31) SIIII (8) NISS (16) D1S (24) IUSI
(32) TUI As seen earlier from above, it is clear that if b stands for a disyllabic letter and a, for a monosyllabic one, the variations of the metre having one letter are b and a, those of the metre having two letters are bb, ab, ba and aa (i.e., 2C,b2, 2C,ab and 2C%a2) and those of the metre baving three letters are bbb, abb, bab, aab, bba, aba, baa and aaa (i.e., 8C,b8, 9C,b?a, 8C, ba? and "Cya) and so on. In general, the result, for a metre having n letters, 's of the form, n nn 0-
1nn 2 2 n nors n n which is the Cob, C,
b a , C, a "*". Cob a' "*... Cya, binomial expansion for (b+a)).
We have also seen that knowledge of certain properties, associated with metres of different varieties were essential for the development of metric. These are,
(i) the prastāra i.e., the expansion of the metre, such as those of
varna vrttas as stated above; (ii) the lagakriyä (also called galakriyā or laghukriyā) i e., the
process for finding the number of variations of a metre baving a
definite number of monosyllabic (or disyllabic) letters and
(iii) other properties associated with its expansion. Galakriya
It has been observed that galakrijā is the process for knowing the nuinber of variations containing a definite number (say,r) of monosyllabic letters (or n-r, of disyllabic letters) in the expansion of a varna yrtta having n letters. Correspondingly, the process is the same as that for finding the number of terms of the form in the expansion of (b+a) Obviously, this gives c , r = 0, 1, 2,....,.
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