(multiplier) as multiplied by two and (then) diminished by the value of the side (just arrived at) gives rise to the value of the top-side. And the (given) area divided by the given (multiplier) gives rise to the value of the perpendicular (dropped from the ends of the top-side) in relation to this required quadrilateral figure with three equal sides.
An example in illustration thereof.
151. In the case of a certain quadrilateral figure with three equal sides, the accurate value of the area is 96. The given multiplier is 8. Give out the values of the base, of the sides, of the top-side and of the perpendicular.
The rule for arriving at the numerical measures of the top side, of the base, and of the (other) sides in relation to a quadrilateral figure having unequal sides, with the aid of 4 given divisors, when the accurate value of the area (of the required quadrilateral figure) is known :-
152. 'The square of the given area is divided (separately by the four given divisors; (and the four resulting quotients are separately noted down ). Half of the sum of (these) quotients is (noted down) in four positions, and is (in order) diminished (respectively) by those (quotients noted down above ). The remainders (so obtained) give rise to the numerical values of the sides of a quadrilateral figure (having unequal sides and consequently) named 'unequal.'
152. The area of a quadrilateral with unequal sides has already been mentioned to be , where half the perimeter, and are the measures of the sides (side note to stanza 50 in this chapter). The rule here given requires that the numerical value of the area should be squared and then divided separately by the four optionally chosen divisors. If is divided by four suitably chosen divisors so as to give as quotients , then on adding these quotients and halving their sum, the result is seen to be s. If s is diminished in order by , the remainders represent respectively the values of the sides of the quadrilateral with unequal sides
