[Pramāṇa](https://indike.org/pramana/) › [Studies](https://indike.org/pramana/ins) › [Science, technology and education](https://indike.org/pramana/ins.science) › [A History of the Kerala School of Hindu Astronomy (in Perspective)](https://indike.org/pramana/ins.science.sarma-1972) › c8.s6.1 # A History of the Kerala School of Hindu Astronomy (in Perspective) c8.s6.1 A History of the Kerala School of Hindu Astronomy (in Perspective) c8.s6.1 - **Language:** English ### [c8.s6.1](https://indike.org/pramana/ins.science.sarma-1972.c8.s6.1) The power series for arc tan x, which was enunciated for the first time in the United Kingdom in 1671 by the Scottish mathematician James Gregory (1638-75) and in Europe in 1673 by the German mathematician and philosopher Gottfried Wilhelm Leibnitz (1646-1716), in the case of x=1, may be stated as follows : In the case of infinite series of powers of x representing an arc of a circle of unit radius which subtends at the centre of the circle an angle whose tangent (x) does not exceed unity, - [Previous: c8.s5.8](https://indike.org/pramana/ins.science.sarma-1972.c8.s5.8) - [Next: c8.s6.2](https://indike.org/pramana/ins.science.sarma-1972.c8.s6.2) - [Up: c8.s6](https://indike.org/pramana/ins.science.sarma-1972.c8.s6) --- Source: [https://indike.org/pramana/ins.science.sarma-1972.c8.s6.1](https://indike.org/pramana/ins.science.sarma-1972.c8.s6.1) · Pramāṇa