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The Shulbasutras of Baudhayana, Apastamba, Katyayana and Manava: With Text, English Translation and Commentary c8.t29.4

The Śulbasūtras of Baudhāyana, Āpastamba, Kātyāyana and Mānava: With Text, English Translation and Commentary c8.t29.4

Language
English

c8.t29.4

**2.3-2.6.** *Measures for the diagonal of a rectangle.* Kātyāyana has considered a particular measure for a square as *karaṇī*, so that its diagonal becomes *tatkaraṇī* or *dvikaraṇī*, (*tat kṣetraṃ dvaiguṇyādi kriyati 'nayā sā tatkaraṇī*—Mahīdhara), for square on the diagonal is twice the original square. Likewise, the diagonal of a rectangle having sides as *prāśvamānī* and *tiryaṅmānī* is known as *akṣṇayā*. With the help of these technical terms Kātyāyana has expressed the measures for the diagonal of a rectangle in the following two cases :