[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) › c8.65 # Mathematics in Ancient and Medieval India c8.65 Mathematics in Ancient and Medieval India c8.65 - **Language:** English ### [c8.65](https://indike.org/pramana/ins.science.bag-1979.c8.65) 1. Half the diameter diminished by the \*Utkramajyā\* of an arc or its complement is the \*Jīva\* or \*Jyā\* of the respective complementary arc. The square-root of the difference of the square of the radius and that of the \*Jyā\* of an arc or its complements is the \*Jyā\* of the respective complementary arc’.¹ - [Previous: c8.64](https://indike.org/pramana/ins.science.bag-1979.c8.64) - [Next: c8.66](https://indike.org/pramana/ins.science.bag-1979.c8.66) - [Up: c8](https://indike.org/pramana/ins.science.bag-1979.c8) --- Source: [https://indike.org/pramana/ins.science.bag-1979.c8.65](https://indike.org/pramana/ins.science.bag-1979.c8.65) · Pramāṇa