150
ALBERUNPS INDIA.
keep their original places, and then exchange them
with each other :—
II.
III.
4
i6
4
4
15
5
4
14
6
4
13
7 &c.
4
i6
4
5
15
4
6
14
4
7
13
4 &c.
" IV.-V. The right-side number is placed to the left,
and the other two numbers first keep their original
places, and then exchange them with each other:—
IV.
V.
i6
4
4
IS
4
5
14
4
. 6
13
4
7 &c.
i6
4
4
15
5
4
14
6
4
13
7
4 &c.
"Because, further, the numbers of the syllables of a
pdda rise like the square of 2, for after 4 follows 8, we
may represent the syllables of the three pddas in this
way: 8 + 8 + 8 (=4+4+16). However, their arith¬
metical peculiarities follow another rule. The four-
pcida metre follows the analogy of the three-pdda
metre."
Of the above-mentioned treatise of Brahmagupta I
have only seen a single leaf: it contains, no doubt,
important elements of arithmetic. God affords help