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# JB/135/179/001

Completed

Posology. Jany. 6. 1832.

1. Relation
of the multiplication operation
of the performed
employed in the
keeping accounts
of money to the
multiple operation
performed in
what is called
the Multiplication
table —

2. Relation existing
between the
oper Multiplication
& Division in common
mathematics
& that used in
Logarithms

— In the case of
the Multiplication
table the Multiple
is the same
throughout &
these results
are obtained
by the successive
in of one & the
same multiple
In the other
case the multiplier
a multiplying
number
changes at each
step. The operation
by which the
Multiplication
table commonly
so called is
performed
is an

---page break---

universally
applying operation
one & the same
to whatsoever
subject matters
application

The Multiplication
one
exemplification
of which is seen
in money accounts
is the a changeable
& un changing
operation:
applied to
money it is
differents from
itself in different
political states
& so can in the
same state at
different times

— Example as
applied to money
take the pound
stating for the
unit — by the
application of the
first multiplier
say 20 you obtain the
shillings — by the
appl application
of the second
multiplier say
12 you obtain
the pence & by
the application
of the third &
last multiplier
you obtain the
farthings. Thus
at each operation

---page break---

In France a
different multiplier
is employed.
In French money
the unit is the
franc: by the
application of the
only multiplier
100 you get
the centimes
In the United
States the unit
is the dollar &
the application
of the only multiplier
100 you get
the cent — Universally
applying
may be
denominated
the multiplication
table commonly
so called
specially applying
the mutable
a mutably
applying multiplication
table
last mentioned.
The universally-
applying multiplication
table
may be considered
as the result of
the operation
called abstraction.
The abstract
having for its
correspondent
concrete the results
of the changable
mode of multiplication
above-
mentioned.

Identifier: | JB/135/179/001
"JB/" can not be assigned to a declared number type with value 135.

1832-01-06

135

posology

179

posology

001

copy/fair copy sheet

1

recto

46297