[Pramāṇa](https://indike.org/pramana/) › [Studies](https://indike.org/pramana/ins) › [Science, technology and education](https://indike.org/pramana/ins.science) › [Mathematics in Ancient and Medieval India](https://indike.org/pramana/ins.science.bag-1979) › c8.s3.69 # Mathematics in Ancient and Medieval India c8.s3.69 Mathematics in Ancient and Medieval India c8.s3.69 - **Language:** English ### [c8.s3.69](https://indike.org/pramana/ins.science.bag-1979.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’. - [Previous: c8.s3.68](https://indike.org/pramana/ins.science.bag-1979.c8.s3.68) - [Next: c8.s3.70](https://indike.org/pramana/ins.science.bag-1979.c8.s3.70) - [Up: c8.s3](https://indike.org/pramana/ins.science.bag-1979.c8.s3) --- Source: [https://indike.org/pramana/ins.science.bag-1979.c8.s3.69](https://indike.org/pramana/ins.science.bag-1979.c8.s3.69) · Pramāṇa