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# Mathematics in Ancient and Medieval India c8.s3.20

Mathematics in Ancient and Medieval India c8.s3.20

- **Language:** English

### [c8.s3.20](https://indike.org/pramana/ins.science.bag-1979.c8.s3.20)

We can express this also in the following form : $π=3+4\[1/(3³-3)-1/(5³-5)+1/(7³-7)-········\]$ $or,(π-3)/4=1/(3³-3)-1/(5³-5)+1/(7³-7)-1/(9³-9)+········$ $or,(π-3)/4=\[(1/2.3.4-1/4.5.6)+(1/6.7.8-1/8.9.10)+······\]$ $or,(π-3)/6=⅔\[(1/2.3.4-1/4.5.6)+(1/6.7.8-1/8.9.10)+···\]$ $=\[1/((2.2²-1)²-2²)+1/((2.4²-1)²-4²).$ $.+1/((2.6²-1)²-6²)+········\]$

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Source: [https://indike.org/pramana/ins.science.bag-1979.c8.s3.20](https://indike.org/pramana/ins.science.bag-1979.c8.s3.20) · Pramāṇa
