The Shulbasutras of Baudhayana, Apastamba, Katyayana and Manava: With Text, English Translation and Commentary c8.t1.38
The Śulbasūtras of Baudhāyana, Āpastamba, Kātyāyana and Mānava: With Text, English Translation and Commentary c8.t1.38
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- English
c8.t1.38
**1.12-1.13.** The theorem states that in a rectangle *ABCD*, AC²=AB²+BC² (Fig. 7). This is a most general statement and is enunciated first by Baudhāyana. The proposition is stated almost in identical language by Āpastamba (*Āśl.* 1.4), Kātyāyana (*Kśl.* 2.7) and Mānava (*Mśl.* 10.10). Baudhāyana further says that the theorem is easily verified from the following relations: $3²+4² =5²$ $12²+5² =13²$ $15²+8² =17²$ $7²+24²=25²$ $12²+35²=37²$ $15²+36²=39².$
Linked texts (3)
- Āpastambaśulbasūtra — Āpastamba, Sanskrit
- Kātyāyanaśulbasūtra — Kātyāyana (Vājasaneyi sūtrakāra), Sanskrit
- Mānavaśulbasūtra — Sanskrit