Jinamanjari 1996 09 No 14

Author(s): Jinamanjari
Publisher: Canada Bramhi Jain Society Publication

Page 73

valuyārdhakriitryamso mukhārdhavargatripādayutaḥ ||
In the case of a conch-shell-circle, the diameter (d), decreased by half the mouth (m) and multiplied by three, is the perimeter (p). One third of the square of half the perimeter, increased by three quarters of the square of half the mouth, (is the area A). (Cf. Fig. 4.)(Ganitasārasamgraha 7.23)
p=3(2-), A = }(0)+ (%)'
mukhadalarahito vyāsas trighnaḥ sankhe prajāyate paridhiḥ | vyāsadalakstir vrtyarkāmáshatāsyonitā phulam trighnā | vadanadalono vyāso vadanadalar yat tadurdhavargaikyam | trigunitam atha vāganitaṁ sthūlam sankhākrtau bhavati ||
In the case of (a figure like) a conch-shell, the diameter (d), when decreased by half the mouth (m) and multiplied by three, becomes the perimeter (p). The square of half the diameter, decreased by the product of the mouth and one twelfth of the perimeter and multilpied by three, is the area (A). Or, the diameter is decreased by half the mouth, and the mouth is halved. The sum of the squares of their halves, multiplied by three, is the gross area of a conch-shell-like figure. (Gaạitakaumudī, kşetra 10-11)
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