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CHAPTER VII-
EASUREMENT OF ARIAS.
208
of those two (other) figures which resemble (the longitudinal section of the Panavil, and (of) the Vajra, that (same resulting area, which is obtained by multiplying the maximum length with the measure of the breadth of the month), is diminished by the measure of the areas of the associated bow-shaped figures. (The remainder gives the requird measuro of the area concorned.)
Examples in illustration thereof. 774. In the case of a figure having the outline configuration of a Urdanga, the (maximum) length is 24; the breadth of (each of) the two mouths is 8; and the maximum) broadth in the middle is 16. What is the aroa ?
787. In the case of a figure having the outline of a Panava, the (maximum.) length is 24; similarly the measuro (of the breadth of either) of the two mouths is 8; and the central breadth is 4. What is the area ?
797. In the case of a figure having the outline of a Vajra, the (maximum) length is 21; the measure of the breadth of either) of the two mouths is 8; and the centre is a point. Give out as before what the area is.
The rule for arriving at the minutely acourato valne of the areas of figures resembling the annulus making up) the rim of a whoel, (resembling) the crescent moon and the (longitudinal) section of the tusk of an elephant :
801. In the case of (a circular annulus rosembling) the rim of & wheel, the sum of the measures of the inner and the outer ourvos is divided by 6, multiplied by the measure of the breadth
80%. The role hero given for the area of an annulus, if expressed algebraically, comes to be *" * p* v 10, where a, and a, are the mouwdren of the two circumferences, and p is the measure of the breadth of the annulae. On
comparison of this value of the area of the annulos with the approximate value of the same as given in stanza 7 above (vida note thereunder), it will be evident that the formala here does not give the mourato valge, the valde mentioned in the rule in stanza 7 being itsell the accurate value. The mistake seems to have arisen from wrong notion that in the determination of the value of this won, is involved even otherwise than in the value of a, and a
| SR No. | 011112 |
| Book Title | Ganitasara Sangraha of Mahavira |
| Original Sutra Author | N/A |
| Author | Rangacharya |
| Publisher | Rangacharya |
| Publication Year | 1912 |
| Total Pages | 531 |
| Language | English |
| Classification | Book_English |
| File Size | 24 MB |