GANITASĀRASANGRAHA. (at the rate of) 21 angulas in a day and half; the water (thereof) flows out through a pump (at the rate of) 21 angulas (of the well in depth) in 1 days; 11 angulas of water (in depth) are lost in a day by evaporation owing to the (heating) rays of the sun; a tortoise below pulls down 51 angulas of the stalk of the lotus plant in 3 days. By what time will the lotus be on the same level with the water (in the well)? 90 31. A powerful unvanquished excellent black snake, which is 32 hastas in length, enters into a hole (at the rate of) 7 angulas in of a day; and in the course of of a day its tail grows by 2 of an angula. O ornament of arithmeticians, tell me by what time this same (serpent) enters fully into the hole. Thus end the (problems bearing on associated) forward and backward movements. The rule of operation relating to double, treble and quadruple rule-of-three. 32. Transpose the Phala from its own place to the other place (wherein a similar concrete quantity would occur); (then, for the purpose of arriving at the required result), the row consisting of the larger number (of different quantities) should be, (after they are all multiplied together), divided by the row consisting of the 32. The transference of the Phala and the other operations herein mentioned will be clear from the following worked out example The data in the problem in stanza No 36 are to be first represented thus:--- 9 Manis. 1 Vaha + 1 Kumbha. 10 Yojanas. 3 Yojanas. GO Panas. When the Phala here, viz, 60 panas, is transferred to the other row we have- 9 Manis. 1 Vaha + 1 Kumbha 1 Vaha. 3 Yojanas. 10 Yojanas. 60 Panas. Now the right hand row, consisting of a larger number of different quantities, should be, after they are all multiplied together, divided by the smaller left hand row similarly dealt with. Then we have 1 × 10 × 60 9 x 3 The result here gives the number of panas to be found out.
पृष्ठम्:Ganita Sara Sangraha - Sanskrit.djvu/२८८
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