Ganitasara Sangraha

SR No.: 020800
Original Sutra Author: N/A
Author: Mahaviracharya, M Rangacharya
Publisher: Government of Madras
Publication Year: 1912
Total Pages: 523
Language: Hindi, Sanskrit
Classification: Book_Devnagari
File Size: 22 MB

Page 377

180
GANITASÄ RASANGRAHA.
Examples in illustration thereof. 3311. There is constructed an equilateral quadrilateral structure consisting of 5 layers. The topmost layer is made up of 1 brick. O you who know the calculation of mixed problems, tell me how many bricks there are (here in all).
332). There is a structure built up of successive layers of bricks, which is in the form of the wamilyävarta. There are 4 layers built symmetrically with 60 (as the numerical measure of the top-bricks in single row). Tell me how many are all the bricks (here).
Rules regarding the six things to be known in the science of prosody :
3331-336}. (The number of syllables in a given syllabic motre or chandas is caused to be marked in a separate column) by cero and
332). The nandyavarta figure referred to in the stanza is
333-336$. As each syllable found in a line forming a quarter of a stanza may be short or long, there arises a number of varieties corresponding io the different arrangements of long and short syllables. In arranging these varieties, a certain order is followed. The rules given lere enable us to find out (1) the number of varieties possible in a metre consisting of a specified number of syllables, (2) the manner of arrangement of the syllables in these varieties, (3) the arrangement of the syllables in a variety specified by its ordinal position, (4) the ordinal position of a specified arrangement of syllables, (5) the number of varieties containing a specified number of long or short syllables, and (6) the amount of vertical space required for exhibiting the varieties of a particular metre.
The rules will become clear from the following working of the problemas given in stanza 3375:(1) There are 3 syllables in a metre; now, wo proceed thus:
Now, multiplying by 2 the figures in the 3-1
2 22 right-hand chain, we obtain 0. By the process of
2 1-1
multiplication and squaring, as explained in the note to stanza 94, Ch. Il, we get 8; and this is the
muniber of varieties. (2) The manner of arrangement of the syllables in each variety in arrived at tha:1st variety : 1, being odd, denotes a long syllable; so the first syllable is
long. Add 1 to this 1, and divide the sum hy 2; the quotient is odd, und denotes another long syllable. Again, l is added to this quotient 1, and divided by 2; the result,