The Shulbasutras of Baudhayana, Apastamba, Katyayana and Manava: With Text, English Translation and Commentary c8.t2.21
The Śulbasūtras of Baudhāyana, Āpastamba, Kātyāyana and Mānava: With Text, English Translation and Commentary c8.t2.21
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c8.t2.21
Now, sq. *PGFH* = 4 tr. *PGI* + sq. *IJKL* & = 2 tr. PGI + 2 tr. PGI + sq. IJKL / & = rect. PBGI + rect. PBGI + sq. IJKL / & = (rect. PBGI + sq. IJKL) + rect. PBGI / & = (rect. PBGI + sq. IJKL) + sq. MBGJ + rect. PMJI / & = (rect. PBGI + sq. IJKL + rect. PMJI) + sq. MBGJ / & = (rect. PBGI + sq. IJKL + rect. JGEK) + sq. MBGJ / & = sq. PBEL + sq. MBGJ / or, sq PBEL & = sq. PGFH - sq. MBGJ / \therefore BP² & = PG² - BG² / or BP² & = AB² - BG²