250 GANITASĀRASANGRAHA. sides (which has to be the same in value as the base line between the given pillars or hills), the segments (of the base caused by the meeting of the perpendicular from the vertex with the base) are arrived at in accordance with the rule laid down already. If the values of these (segments) are written down in the inverse order, they become the values of the two perpendicular sides of the two longish quadrilaterals in the required operation. Then, in accord- ance with the rule given already, the values of the diagonals of the two longish quadrilateral figures may be arrived at with the aid of the values of those two sides (of the triangle above mentioned which are taken here as the two horizontal sides of the longish quadrilateral) and of those two perpendic-lar sides. These (diagonals) are of equal numerical value. Examples in illustration thereof. 204 205 One pillar is 13 (hustas in height). The other is 15 (hastas in height). The intervening distance (between them) is 14 (hastas). A rope (having its two ends) tied to the tops (of these two pillars) hangs down so as to touch the ground (some where between the two pillars). What are the values of the two segments, (so caused, of the base-line between the pillars)? The two (hanging) parts of the rope are (in their length) of equal numerical value. Give out' also the rope-measure. 206-207. The height of (one) hill is 22 (yojanus). That of another hill is 18 (yojanas). The intervening space between the two hills is 20 (yojanas in length). There stand two religious mendicants, (one) on the top of each, who can move along the sky. For the purpose of begging (their food), they (came down Now, a² + ₁²b² + c²₂ .. (C₂+ C₁) (C₂-C₁)=a²6²; and c₁ + c₂=c; a²b² +c a²-8² C C- C and c₁= 2 2 These values are obviously those of the segments of the base of a triangle having the sides a and b, the segments having been caused by the perpendicular from the vertex. This is what is stated in this rule. Vede ruie given in stanza 49 above.
