CHAPTER VII•MEASUREMENT OF AREAS . 245 hastas, and the top-side is 4 h&tas. What is the measure of the basal) segments (caused by the inner perpendicular) and what of the inner perpendicular (itself) ? 186ी. In the case of the (quadrilateral) figure above-mentioned, the measures of the top-side and the base are each to be taken to be less by i hosta. From the top of each of the two perpendi. culars, a string is stretched so as to reach the foot (of the other perp¥ndicular). You give out the measures of the inner perpendi. cular and of the basal segments (caused thereby) 187ी. (In the case of a quadrilateral with unequal sides), side is 18 hosta8 in measure ; the opposite side is 15 hoste8; the top-side is 7 jagta8 and the base here is 21 hosta8 What are the values of the inner perpendicular and of the basal segments (caused thereby) ? 1881-189४. There is an equilateral quadrilateral figure, measuring 20 hdata8 at the sideFrom the four angles of that One VII-54, and then the measures of the perpent iculars from the end of the top. side to the base as also the measures of the segments of the base caused by those perpendiculars have to be arrived at by the application of the rule given in stanza VII.48. Then taking these measures of the perpendiculars to be those of bhe pillars, the rule given in stanza 180} above is applied to arrive at the measures of the inner perpendicular and the basal segments caused thereby The problem given in stanza 187} is however worked in a slightly different way in the Kanarese commentary. The top-side is supposed to be parallel to the base, and the measures of the perpendicular and of the basal segments caused there. by are arrived at by constructing a triangle whose sides are the two sides of the quadrilateral, and whose base is equal to the difference between the base and the top-side of the quadrilateral 1881-189. The figure contemplated in this problem seems to be this The inner perpendiculars referred to herein are GH and KIL. To find out theseFEB is first determined. FEB, ac cording to the commentary, is said to be equal to GM१ DM° + DB + (3DM) Then with FEB and BC or AD taken as pillars, the rule under reference may be applied. HE L
