पृष्ठम्:Ganita Sara Sangraha - Sanskrit.djvu/२८५

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CHAPTER 1-RULE-OF-THREE. 87 7 A good piece of hronaga u, 12 hestes in length and 3 hastas in diameter, is consumed (at the rate of) 1 cubic angula a day What is the time required for the (complete) consumption of this cylinder? 3 (If) a väha of verv superior black gram, along with 1 dröna, 1 adhaha and 1 kudava (thereof), has been purchased by means of 10 svarnas, what measure (may we purchase of it) by means of 100 svarnas' 9 Where 1 palu of kunkumu is obtainable by means of 3 purānas, what measure (of it) may (we obtain) there by means of 100 puranas? 10 By means of 7 palas of ginger, 13 panas were obtained; say, O fricid, what (may be obtained) in return for 32 pulas of ginger? 11. By means of 4 hirspamus, a man obtains 16 pulas of silver; what (weight does he obtain thereof) by means of 10,000 karsas? 12. By means of 7 palas of camphor, a man obtains 5 dināras along with 1 bhaya, 1 amsa and 1 kala. What (does he obtain) here by means of 1,000 palas (thereof) ?. 13. The man who purchases here 5 palas of ghee by means of 3 panas-what (measure of it does he purchase) by means of 100 harsas 14. By means of 53 purinas, 16 pairs of cloths were obtained. O friend, say what (number of them may be obtained) by means of 61 karsus " 15-16 There is a square well without water, (cubically) measuring 512 hastas. A hill rises on its bank; from the top 7. Here the process of finding out, from the given diameter, the area of the closs-section of a cylinder is supposed to be known This is given in the sixth Vyuvalara, in the 19th stanza, where the area of a circle is said to be approxi- mately equal to the diameter squared and then divided by 4 and multiplied by 3 Kranagaru is a kind of fragrant wood buint in fire as incense. 15-16. In this problem, the sticani of water is as long as the mountain is high, so that as soon as it reaches the bottom of the mountain, it is supposel to cease to flow at the summit. For finding out the quantity of water in Valas, etc, the relation between cubical measure and liquid measure should have been given. The Sanskrit commentary in P and the Kanarese tika in B state that 1 cubic angula of water is equal to 1 harsa thereof in liquid measure.