________________
26
Shaláká ; 27 ones as Virlana; and 27 as Deya. The next Deya would be 2727. Now we reduce the Shaláka by another one. So at the third step we have 1 as as Shaláká ; 2727 ones as Virlana, and 2727 as Deya. The next Deya or the result of
27
37
Virlana is
Now we can reduce the Shaláká by
one more
27
7 27
The process is complete. The result
Let us express it symbolically thus: 2710, which means that 27 is to be written four times, once as a base, then as a power of that base, then as a power of that power and so on.
If we take the last result, i.e. 2710, and treat it by the Shalá ká method as we treated the three above, it would be a two-fold treatment, Thus : take 27 and treat it as Shalá ka, virlana, Deya. Virlana 274 and place on the top of each unit of the Virlana process the number272),multiply all these27) together and now reduce one out of the Shaláká number 2711). The product of this multiplication should be considered as the next Virlana and Deva Virlana this virlana into separate units and place on the top of each unit, the Deya thus obtained. Multiply together all these Deya Then reduce one more from our Shaláká 27177. Consider the product of this second multiplication to be the next virlana and Deya ; Virlana it as before and place on the top of each virlana unit this product and multiply all these Deya together and then again subtract one from our Shaláká
7171; proceed serially in the same way considering the ever and ever increasing new and new product of each multiplication as virlana and Deya; and go on virlaning and multiplying together the new ever-increasing product of the multiplication at each step reducing one at a time from 27,1!, until the whole Shaláká 2714 is totally exhausted ; thus we reach the end of the two-fold treatment. The result of this second treatment also being treated in the Shaláká way will give us the third degree Shaláká treatment of 3 i. e.. the huge product of the multiplication at the end of the second Shaláká treatment should be treated and considered as the new and fresh Shaláká virlana and Deya ; and it should be exhausted exactly as above by successive virlana and Deya, placing Deya on each unit and then multiplying all Deya together and then reducing one from this Shaláká on each multiplication of all the Deya. This is
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