[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.s3.1 # Mathematics in Ancient and Medieval India c8.s3.1 Mathematics in Ancient and Medieval India c8.s3.1 - **Language:** English ### [c8.s3.1](https://indike.org/pramana/ins.science.bag-1979.c8.s3.1) As the ratio of the circumference and diameter can not be expressed in any commensurable quantity, an infinite series for the value of π gradually developed simultaneously with other trigonometrical series namely sine, cosine and tan series. The Sanskrit works, \*Tantra-samgraha\* and \*Karanapaddhati\* gave the expansion of the π, sine, cosine and tan functions, the results of which are almost identical with modern values : - [Previous: c8.s2.17](https://indike.org/pramana/ins.science.bag-1979.c8.s2.17) - [Next: c8.s3.2](https://indike.org/pramana/ins.science.bag-1979.c8.s3.2) - [Up: c8.s3](https://indike.org/pramana/ins.science.bag-1979.c8.s3) ## Cites (2) - [Tantrasaṅgraha](https://indike.org/pramana/in.astro.kerala.tantra.tantrasangraha) — Nīlakaṇṭha Somayājī 1500, Sanskrit - [Karaṇapaddhati](https://indike.org/pramana/in.astro.kerala.tantra.karanapaddhati) — Putumana Somayājī 1660, Sanskrit --- Source: [https://indike.org/pramana/ins.science.bag-1979.c8.s3.1](https://indike.org/pramana/ins.science.bag-1979.c8.s3.1) · Pramāṇa