Mathematics in Ancient and Medieval India c6.s4.3

Language: English

c6.s4.3

“The diagonal of a rectangle produces both (areas) which its length and breadth produce separately”. That is, in a rectangle ABCD, AC² = AB² + BC². This is a most general statement and was enunciated first by Baudhāyana. The proposition is stated in almost identical terms also by Āpastamba and Kātyāyana². Baudhāyana further says that the theorem is easily verified from the following relations :

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