Mathematics in Ancient and Medieval India c8.s3.69

c8.s3.69

‘*Jyā* of the arc ( *dhanuṣ* ) is to be multiplied by the semi-diameter ( *vyāsārdha* ) and is divided by the *koṭi*. This is the first term ( of the tan series ). The value ( of the first term ) when multiplied by the square of the *jyā* and divided by the square of the *koṭi* gives the second term. This process is repeated. The successive terms are divided by the odd integers 1, 3, 5… . Now when the consecutive terms in the series starting from the first term are alternately subtracted and added gives the circumference’.