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OHAPTER VII-MEASUREMENT OF AREAS.
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was capable of moving in the sky. This ascetio flew up and then came down to the oity taking the hypotenuse course. The other Ascetio descended from the suminit (vertically) to the foot of the mountain and walked alung) to the city. (It was found that) both of them had travelled ovor the same distance. (What is the distance of the city (from the foot of the mountain) and what the height of the flight upwards?
In an area representable by a (suspended) swing (and its vertical supports rosting on the ground), the measures of the heights of either two pillars or two bill-tops are taken to be the measures of the horizontal sides of two longish quadrilatoral figuros. Then, (with the aid of these kuown horizontal sides and) in relation to the base lino either betweon the two bills or between the two villars, (as the oase may be), the values of the two sogments (caused by the meeting point of the perpendicular) aro arrived at. These two segments are written down in the inverse ordor. The values of the two segments so written down in the inverso order are taken to be the values of the two perpendicular sides of tho two longish quadrilateral figures. And, now, the rulo for arriving at the equal numerical value of the diagonala of thoso (two longish quadrilateral figures) :
2011-2031. In relation to a figuro representablo by a (918ponded) swing (and its vertical supports resting on the ground), the measares of the heights of either two pillars or two hills are taken to be the mensures of the two sides of a triungle. Then, in relation to the value of the base (lino) enclosod hetweon thoso two
2011-2031. In the two quadrilaterals of the kind contemplated in this rule, let
the vertical sides be reprownted by a, , d let the base bec; and let C, CA, its weg. • ment and I the leugth of each of the
equal portions of the ropa.
