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The Science of the Shulba: A Study in Early Hindu Geometry c11.72

The Science of the Śulba: A Study in Early Hindu Geometry c11.72

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c11.72

*GEPQ*, which is equal to the square *ABCD*, is comprised of four rightangled triangles each equal to *GMQ* and of the square *HKLM*. Therefore GEPQ & = GDEH + DRLN + HKLM, / & = GDRM + DEKN, / \therefore GDRM & = ABCD - DEKN, / or GD² & = AB² - DE²