History of Hindu Mathematics: A Source Book v2.c17.s25.46

v2.c17.s25.46

It is noteworthy that the above principle will hold even when all the β's are not equal. For, suppose that in the above instance the second set of conditions is replaced by the following : $xy + β₁ = ξ²,$ $yz + β₂ = η²,$ $zw + β₃ = ζ².$