पृष्ठम्:Ganita Sara Sangraha - Sanskrit.djvu/४६९

CHAPTER VIII-CALCULATIONS REGARDING EXCAVATIONS. 271 54. The bottom (broadth) and the top (breadth) are (each) doubled. To these are added (respectively) the top (breadth) and the bottom (breadth). The (resulting) quantities are (respectively) increased and decreased by the height (above the ground) of the unbroken (part of the wall); and (then the quantities so obtained) are multiplied by the length and also by the sixth part of the (total) height. (Thus) the number of bricks intact and the number of bricks fallen off may be obtained in order. Examples in illustration thereof. 55. This high fort-wall (of measurements already given, struck by a cyclonic wind) has been (obliquely) from the bottom, broken down along the diagonal section. In relation thereto, how many are the bricks intact and the bricks fallen down ? 56. The same hugh fort-wall has been broken down by the cyclone obliquely after leaving over 1 hasta from the bottom. How many are the bricks that remain intact and how many the bricks that have fallen down? The rule for arriving at the growing number of layers (of bricks) in relation to the central height of a fort-wall, and (also) for arriving at the (rate of the) diminution of layers. D 5. If a be the breadth at the bottom, b the breadth at the top, h the total B height and I the length of the wall, and a the height above the ground of the unbroken part of the wall lh then (2a + b 6 + d), and (26 + a-d) repre- sent the number of bricks intact and the number. of bricks fallen oft. 10 12 The figure in the margin shows the wall mentioned in stanza 563; and ABCD ndicate the plane along which the wall fractured when it broke.