CHAPTER VII•MEASUREMENT OF AREAS 24B was capable of moving in the sky. This ascetic fiew up and then 0ame down to the city taking the hypotenuse course. The other 'asoetic descended from the summit (vertically) to the foot of the mountain (and walked along) to the city . (It was found that ) both of them had travelled over the same distance. (What is) the distance of the city (from the foot of the mountain) and what bhe height of the fight upwards ? In an area representable by a (suspended) swing (and its vertical supports resting on bhe ground), the measures of the heights of either two pillars or two hill-tops are taken to be the measures of the horizontal sides of two longish quadrilateral figures. Then. (with the aid of these known horizontal sides and) in relation to the base line either between the two hills or between the two pillars, (as the case may be), the values of the two segments (caused by the meeting point of the perpendicular) are arrived at. These two segments are written down in the inverse order. The values of the two segments so written down in bhe inverse order are taken to be the values of the two perpendicular sides of the two longish quadrilateral figures. And, now, the rule for arriving at the equal numerical value of the diagonals of those (two longish quadrilateral figures) 201–2084. In relation to a figure representable by a (sus pended) swing (and its vertical supports resting on the grond), the measures of the heights of either two pillars or two hills are taken, to be the measures of the two sides of a triangle. IThen, in relation to the value of the base (line) enclosod between those two 201-208). In the two quadrilaterals of the kind contemplated in this rule, let the vertical sides be represented by a, b; a let the base be e; and lete1, 2, be its seg• ments and y the length of each of the equal portions of the rope . €1 c 82
