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No. 11
History of Mathematics in India from Jaina Sources
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to
The following extract refers finding the volume of the lowest frustum, whose dimensions are (see fig. 2)
Diameter of base
Diameter of face Height
Fig. 2
The commentary proceeds as follows:
35
egag sapadesab hallassa parithao ettio hodi . Imamaddheuna vikkhambhaddhena gunide ettiyam hosi . Adhologabha. gamicch mo tti sattahi rajjuhi gupide khayaphalamettiyam hodi
5114
Fig. 3
7 units
482
Edassa muhatiriyavaṭṭassa Of this; the horizontal circular boundary at the face having the uni-dimensional thickness has (its) circumference (of length) this: 23. Half of this multiplied by half of the diameter becomes this: 15. Now we want to find out (the volume of) the lower portion. (The above obtained area) being multiplied by seven will yield 5184 for the volume of the hollowed space. (i.e. the volume of the cylinder which we take out.) (See fig. 2)
= | unit
= 7 units.
