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ARITHMETIC.
189

if we add this to 6, we have 9 the quotient. Divide 54 by 9.

1
9 ) 54 ( 8

Subtracting the 9 from 10, and adding the re- mainder to 5, we have 6 the quotient.

so

4
6 ) 48( 8
2
8 ) 72 ( 9

and so on.

And in cases where the dividend does not exactly contain the devisor, as in

1
9 ) 76 ( 8

we find by multiplication, that 8 multiplied by 9 gives 72, we have then 4 over, which is consequently 4 ninths.

"Thus in every case we have always the answer to the nearest whole number. Here also we have no need of the multiplication table, which, as I said before, is so difficult to learn, as the numbers themselves give us the answer; it is in their nature. You see then how easy it is to advance by our method, and we charge not the memory with what it is so difficult to fix."