Ganitasara Sangraha of Mahavira

SR No.: 011112
Original Sutra Author: N/A
Author: Rangacharya
Publisher: Rangacharya
Publication Year: 1912
Total Pages: 531
Language: English
Classification: Book_English
File Size: 24 MB

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216
GANITASĀRASANGRABA.
of given bijas), the base and the perpendicular-side (of the smaller and the larger derived figures of reference) are respectively multiplied. The products (80 obtained) are (separately) multiplied (again) by the shorter diagonal. The resulting products give the meagures of the two (unequal) sides, of the base and of the top-side (in relation to the required quadrilateral). The perpendicular-sides (of the derived figures of reference) are multiplied by each other's bases ; and the two products (80 obtained) are added together. Then to the product of the two) perpendicular-sides (relating to the two figures of roference), the product of the bases of those same figures of reference) is added. The (two) sums (80 obtained), when multiplied by the shorter of the (two) diagonals (of the two figures of reference), give rise to the measures of the required) diagonals. (Those same) sums, when multiplied by the baso and the perpendioular-side (respectively) of the smaller figure (of referenoe), give rise to the measures of tho perpendiculars (dropped from the ends of the diagonals); and when multiplied (respectively) by the perpendioular-side and the base of the same figure of referenco), give rise to the measures of the segments of the base (caused by the perpendichlars). The measures of these segments, when subtracted from the mcasure of the base, give the values of the (other) segments (thereof). Half of the product of the diagonals (of the required figuro arrived at as above) gives the measure of the area (of the required figure).
An example in illustration thereof.
104). After forming two derived figures (of reference) with 1 and 2. and 2 and 3 as the requisite bijas give out, in relation to a quadrilateral figure the sides whereof are all unequal, the values of the top-side, of the base, of the (lateral) sides, of the perpendioulars, of the diagonals, of the segments of the base), and of the area.
Again another rule for arriving at (the measures of the sides, eto., in relation to a quadrilateral, the sides of which are all nneanal: