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192
GANITABARASANGRAHA.
The rule for arriving separately at the numerical measures of the ciroumference, of the diameter, and of the area of a circular figure, from the combined sum obtained by adding together the approximate measure of its area, the measure of its circumference and the measure of its diameter :
30. In relation to the combined sum of the three quantities) as multiplied by 12, the quantity thrown in so as to be added is 64. Of this (second) sum the square root diminished by the squaro root of the quantity thrown in gives rise to the measure of the circumference.
An example in illustration thereof. 31. The combined sum of the measures of the circumference, of the diameter and of the area of a cirolo) is 1116. Tell me what the measure of the) circumference is, what (that of) the caloulatod area and what (of) the diameter is.
The rule for arriving at the practically approximate value of surface-arons resembling (the longitudinal sections of the yava grain, (of) the mardula, (of) the pañuva, and (of) the vajra :
32. In tho case of areas shaped in the form of the yava grain, of the muraja, of the parava and of the vajra, the
80. This rule will be olear from the following algebraioal representation - Let c bo the ciroumference of the circlo. As is taken to be oqual to 8,
in the diameter and in the area of the circle. If m stands for the combined sum of the circumference, the diameter and the area of the circle, then the rule given in the stanga to the effect that c= N12 m + 64 - 84 may be easily arrivod at from the qualratio equation containing the data in the problem :-- 6+ s + 3 8 =m.
33. Muraja means the same thing as marda la and mrdanja. The shape of the various figures montioned in this alansa is as follows:
Yaväkirakaótra.
Morajäkärakpôtra.
Papavilārak etn.
Vajribirakpetra.
| 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 |