पृष्ठम्:Ganita Sara Sangraha - Sanskrit.djvu/४६६

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268 GANITASÄRASANGRAHA. 41-42. There is at the foot of a hill afwell of an equilaterally quadrilateral section measuring 9 hastus in (each of the) three dimensions. (From the top of the hill) there runs a water channel, (the section whereof is uniformly) 1 anjula broad at the bottom, 1 angula at (each of) the dug (side slopes), aud 2 angulus in length (at the top). As soon as the water (flowing through that 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 be- comes filled. What is the height of the hill and (what) the measure of the water? Thus ends the section on accurate measurements in the cal- culations relating to excavations. Calculations Relating to Piles (of Brick's). Hereafter, in (this) chapter treating of operations relating to excavations, we will expound calculations relating to (brick) piles. Here there is this convention (regarding the unit brick). 43. The (unit) brick is 1 hasta in length, half of that in breadth, and 4 angulas in thickness. With such (bricks all) operations are to be carried out. The rule for arriving at the cubical contents of a given excavation in a field and also at the number of bricks corresponding to the above cubical contents. 44. The area at the mouth (of the excavation) is multiplied by the depth; this (resulting product) is divided by the cubic measure of the (unit) brick. The quotient so obtained is to be understood as the (cubical) measure of a (brick) pile; that same (quotient) also happens to be the measure of the number of the bricks. Examples in illustration thereof. 45. There is a raised platform equilaterally quadrilateral (in section) having a side measure of 8 hastas and a height of 9 44. The cubical measure of the brick pile here is evidently in terms of the unit brick.