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# Indian Mathematics c5.18

Indian Mathematics c5.18

- **Language:** English

### [c5.18](https://indike.org/pramana/ins.science.kaye-1915.c5.18)

Again we have to remark the significant fact that none of these geometrical constructions occur in any later Indian work. The first two are direct geometrical applications of the rule c² = a² + b²; the third gives in a geometrical form the sides of the rectangle as a√2 and (a√2)/2; the fourth rule gives a geometrical construction for ab = (b + (a-b)/2)² - ((a-b)/2)² and corresponds to EUCLID, II, 5; the fifth is not perfectly clear but evidently corresponds to EUCLID, II, 4.

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Source: [https://indike.org/pramana/ins.science.kaye-1915.c5.18](https://indike.org/pramana/ins.science.kaye-1915.c5.18) · Pramāṇa
