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1828 October 12
Posology
31
Means of facilitate
1. Elimination
Incommeasurabity
Cause of
P1
Where What on this occasion is the source cause of the difficulty
Answer. In the mode employed under the Arabic system when
giving expression to numbers under this system the practice
of employing a single figure for giving expression to each
number stops at No 9. For the designation of the number
next beyond it two figures are employed viz that already
employed to give expression to No 1 and to this another figure
figure 0 is attached. It happens and it should seem unfortunately
that this number is not so well suited to the purpose
of division as No 12 would be. By two numbers only is No 10
divisible without leaving a remainder these are No 2 & No 5
divided it by No 3 so you may but then a remainder is
left & that remainder is No 1.
Take now No 12 and observe the number of the
divisional arrangements to which it is subjectable without
the leaving of a remainder.
I Operation the First Divisor No 2: Quotient No 6
II Operation the second Divisor No 6: Quotient No 2.
III Divisor No 3 Quotient No 4
IV. Operation the fourth Divisor No 4 Quotient No 3.
Number of operations performable without leaving
a remainder twice as great in this case as in the
former one.
Whether by experience or only by anticipation
cannot here be said so it is that a conception has
been pretty extensively entertained that if the practice
of employing a single figure to the designation
of the number in question had instead of stopping
at No 9 been carried as far as No 11 the facility
thus given to Division as above and thence the
facility of employing this mode of designation in
Arithmetic would on all occasions in comparison
of the mode so universally established have been
of very considerable use
Identifier:  JB/135/231/001 "JB/" can not be assigned to a declared number type with value 135.



18281012 

135 
posology 

231 
posology 

001 

copy/fair copy sheet 
1 

recto 
e1 / g31 

b&m 1828 

arthur moore; richard doane 

1828 

46349 
