पृष्ठम्:गणितसारसङ्ग्रहः॒रङ्गाचार्येणानूदितः॒१९१२.djvu/४६७

CHAPTER VIII-CALCULATIONS REGARDING EXCAVATIONS. 271 54. The bottom (breadth) 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 wal!) ; und (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 brioks fallen of may be obtained in order. Examples am alskrution thereof. 55. 'his 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 bricke fallen down ? 564. Ihe same high fort-wall has been broken down by the cyclone obliquely after leaving over 1 hosta 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 544. If u be the breadth at the bottom, b the breadth at the top, h the total B height and the 1 length of the wall, and d the height above the ground of the unbroken part of the wall then2a+ b 10 + d), and (2b + o-d) repre 8ent the number of bricks intact and the number of bricks fallen 12 oft. The figure in the margin shows the wall mentioned in stanza 58 ; and ABCD ndicate the plane along which the wall fractured when it broke,