पृष्ठम्:गणितसारसङ्ग्रहः॒रङ्गाचार्येणानूदितः॒१९१२.djvu/४६३

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CHAPTER VIII-CALCULATIONS REGARDING EXCAVATIONS. 267 subject (of that example) is xpanded here and is given out in detail 85–86. There is at the foot of a hilla well of an equilaterally quadrilateral section measuring 9 haata8 in each of the (three) dimensionsFrom the top of the hill there runs a water chan. nel, the section whereof is (uniformly) an equilateral quadri- lateral having 1 aigula for tho measure of a sitle. (As soon as the water fowing through that channel begins to fall into the well), the stream is broken of at the top; and (yet), with it (that well) becomes filled in with water. ell me the height of the hill and also the measure of the water in the well. 8.88. There is at the foot of a hill a well of an equilaterally quadrilateral section measuring ghost8 in each of the (three ) dimensiois. From the top of the hill, there runs a , water channel, (the section whereof is throughout)a circle of 1 aigul in diameter. As soon, as the water (fowing through the channel) begins to fall into the well, the stream is broken off at the top. With the water filling the whole of the channel, that well becomes illed. Ofriend, calculate and tell me the height of the mountain and also the measure of the water. 391-40]. There is at the foot of a hill a well of an equilaterally quadrilateral section measuring 9 justic8 in (each of the) three dimensionBFrom the top of the hill there runs a water ohannel, (the section whereof is throughout) triangular, each side measuring 1 criggle. As soon as the water (towing through that channel) begins to fall into the well, the stream is broken off at the top. With the water (illing the whole of the channel) that (well) becomes filled. 0 friend, calculate and tell (me) the height of the mountain and the measure of the water. 85 to 424. The reference here is to the example given in stanz88 15-16 of ohapter -ide also the footnote thereunder The volume of the water is probably intended to be expressed in a hos. (Wide the table relating to this kind of volume measure in alanzas 86 to 88, chapter I.) It is stated in the Kanarese commentary that 1 oubio digula of water is equal to 1 dired. Then according to the table given in stanza 1 of chapter I, 4 krgo8 make one puld; according to stanza 44 in the same ohapter, 12 pads make one prastha and stanzas 86 to 87 therein give the relation of the prostho to the edia.