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No 11)
History of Mathematics in India from Jaina Sources
59
Sampahi sematthakhettaņi N ow cutting the remaining puvvar va khandiya tattha solasa eigh volumes (tretranedrons) as tikonakhettini aşantaradidakhet before, there are obtained) tanamusrehado vikkhambhado sixteen tretrahedrons with heights, bahallado co addhamettani ava- lengtha, thicknesses etc. half of niya atthanhamayadacairan those of the previous ones; resakhettanam phalamañantaraik. moving these (sixteen tretrahe. kartacaduk hettaphalassa caübha drons) the combined volume of gamettam hodi.
the (remaining) eight volumes on quadrilateral. bases is one fourth of that of the four (such) volumes before,
Evam solasa-battisa.caüsatthi- In this way, being sixteen, adikamena ayadacaüramsakhet- thirty two, sixty lour and so on, taņi puvvillakhettaphalado caüb- step by step, are obtained vclumes bhagamettaphalani hodina gac. on quadrilateral bases with chanti java ævibhagapalicchedar (combined) volumes being one pattam ti.
fourth of the preceding: this goes on till the stage of further indivisibility is reached.
Evamupannasesakhettaphalam (Now) we describe the method elavanavibanart uccade. Tarn of finding the total of the un jaha savvakhettaphalani caügu. limited volunies (bodies) so pronakamena avatthidani tri kudūņa duced. It is thus: the volumes tattha antimakhattaphalamh cathi obtained are in succession fourguniya rilpiņarh knapa tiguņi- fold, therefore; there, the last dachedeņa avattide ettiyath hoi volume multiplied by four and 6514. Adhologasna savvakhet divided by that minus one, (i.e., taphalasamako 104157.
by 3) will give this: 65Hf. (There. fore) the total volume of the lower universe is this : 104431.
