Mathematics in Ancient and Medieval India c6.s2.57

c6.s2.57

When a square brick (*Caturthī* or *Pañcamī* is cut by one of its two diagonals each of the two equal parts gives rise to a brick [Nos. 2(1) and 7(1) ] having the face of an isosceles triangle (Fig. 2). When it is cut by its two diagonals, each of the four equal pieces gives rise to a brick [ Nos. 3(1) and 8(1) ] having the shape also of an isosceles triangle (Fig 3), and when cut by its two bisectors of the sides, each of its four equal pieces gives rise to a brick [ Nos. 3(3) and 8(3) having the face of a smaller square (Fig. 4). When divided simultaneously by the two diagonals and two bisectors of the sides, each of the eight equal pieces gives rise another brick [Nos.5(1) and 10 (1)] with the shape of an isosceles right-angled triangle (Fig 5). When any of the smaller square (Fig. 4) is divided into two equal halves by a bisector on one of the side, each one gives rise to a brick [ Nos. 5(2) and 10(2) which is one-eighth of the original *Caturthī* or *Pañcamī* ( vide Fig. 6).