पृष्ठम्:Ganita Sara Sangraha - Sanskrit.djvu/३७८

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180 Examples m illustration thereof. 331 There is constructed an equilate al 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 namlyavarta. 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 :- 33-336 (The number of syllables in a given syllabic metre or chandas is caused to be marked in a separate colunin by zero and 45 333-336. As each syllable found in a line forming a quarter of a stanza may be short or long, there arises a number of varieties conesponding to the different arrangements of long and short syllables In arranging these varieties, a certain oider is followed The rules given here 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 aangemeut 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 requned for exhibiting the varieties of a particular metre. The rules will become clear from the following workmg of the problems given in stanza 337) - (1) There are 3 syllables in a metre, now, we proceed thus Now, multiplying by 2 the figures in the 2 332. The nandyavarta ligure 1efered to in the stanza is 3-1 GANITASARASANGRAH1. 22 1-1 U 1 ( 1 right-haud chain, we obtam 0. By the process of 2 multipheation and squating, as explained in the note to stanza 94, Ch. II, we get 8, and this is the number of varieties. (2) The manner of arrangement of the syllables in each variety is arrived at thas.-- 1st variety 1, being odd, denotes a long syllable; so the first syllable is long. Add 1 to this 1, and divide the sum by 2, the quotient 18 odd. and denotes another long syllable. Again, 1 18 added to this quotient 1, and divided by 2, the result.