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<head>Posology. Jan<hi rend="superscript">y</hi>. 6. 1832.</head> | |||
<p>1. Relation<lb/> | |||
of the <del>multiplication</del> <add>operation</add><lb/> | |||
<del>of the</del> <add>performed</add><lb/> | |||
<del>employed</del> in the<lb/> | |||
keeping accounts<lb/> | |||
of money to the<lb/> | |||
<del>multiple</del> <add>operation</add><lb/> | |||
performed in<lb/> | |||
what is called<lb/> | |||
the Multiplication<lb/> | |||
table —</p> | |||
<p><!-- This paragraph has been struck through --> 2. Relation existing<lb/> | |||
between the<lb/> | |||
<del>oper</del> Multiplication<lb/> | |||
<add>& Division</add> in common<lb/> | |||
mathematics<lb/> | |||
& that used in<lb/> | |||
<del><gap/></del> Logarithms<lb/> | |||
<del><gap/> <gap/></del></p> | |||
<p>— In the case of<lb/> | |||
the Multiplication<lb/> | |||
table the Multiple<lb/> | |||
is the same<lb/> | |||
throughout &<lb/> | |||
these results<lb/> | |||
are obtained<lb/> | |||
by the successive<lb/> | |||
application made<lb/> | |||
<del>in</del> of one & the<lb/> | |||
same multiple<lb/> | |||
In the other<lb/> | |||
case the multiplier<lb/> | |||
a multiplying<lb/> | |||
number<lb/> | |||
changes at each<lb/> | |||
step. The operation<lb/> | |||
by which the<lb/> | |||
Multiplication<lb/> | |||
table commonly<lb/> | |||
so called is<lb/> | |||
performed<lb/> | |||
is <del><gap/></del> an</p><pb/> | |||
<p>universally<lb/> | |||
applying operation<lb/> | |||
one & the same<lb/> | |||
to whatsoever<lb/> | |||
subject matters<lb/> | |||
application<lb/> | |||
is made of it.</p> | |||
<p>The Multiplication<lb/> | |||
one<lb/> | |||
exemplification<lb/> | |||
of which is seen<lb/> | |||
in money accounts<lb/> | |||
is <del>the</del> <add>a</add> changeable<lb/> | |||
& un changing<lb/> | |||
operation:<lb/> | |||
applied to<lb/> | |||
money it <del>is</del><lb/> | |||
differ<del>ent</del>s from<lb/> | |||
itself in different<lb/> | |||
political states<lb/> | |||
& so can in the<lb/> | |||
same state <del><gap/></del> at<lb/> | |||
different times</p> | |||
<p>— Example as<lb/> | |||
applied to money<lb/> | |||
take the <hi rend="underline">pound</hi><lb/> | |||
<hi rend="underline">stating</hi> for the<lb/> | |||
unit — by the<lb/> | |||
application of the<lb/> | |||
first multiplier<lb/> | |||
<add>say 20</add> you obtain the<lb/> | |||
shillings — by the<lb/> | |||
<del>appl</del> application<lb/> | |||
of the second<lb/> | |||
multiplier say<lb/> | |||
12 you obtain<lb/> | |||
the pence & by<lb/> | |||
the application<lb/> | |||
of the third &<lb/> | |||
last multiplier<lb/> | |||
you obtain the<lb/> | |||
farthings. Thus<lb/> | |||
at <del><gap/></del> <add>each</add> operation</p><pb/> | |||
<p><del>In France</del> a<lb/> | |||
different multiplier<lb/> | |||
is employed.<lb/> | |||
In French money<lb/> | |||
the unit is the<lb/> | |||
<hi rend="underline">franc</hi>: by the<lb/> | |||
application of the<lb/> | |||
only multiplier<lb/> | |||
100 you get<lb/> | |||
the <hi rend="underline">centimes</hi><lb/> | |||
In the United<lb/> | |||
States the unit<lb/> | |||
is the dollar &<lb/> | |||
the application<lb/> | |||
of the only multiplier<lb/> | |||
100 you get<lb/> | |||
the <hi rend="underline">cent</hi> — Universally<lb/> | |||
applying<lb/> | |||
may be <del><gap/></del><lb/> | |||
denominated<lb/> | |||
the multiplication<lb/> | |||
table commonly<lb/> | |||
so called<lb/> | |||
specially applying<lb/> | |||
the mutable<lb/> | |||
a mutably<lb/> | |||
applying multiplication<lb/> | |||
table<lb/> | |||
last mentioned.</p> | |||
The universally- | |||
applying multiplication | |||
table | |||
may be considered | |||
as the result of | |||
the operation | |||
called abstraction. | |||
The abstract | |||
having for its | |||
correspondent | |||
<unclear>concrete</unclear> the results | |||
of the changable | |||
mode of multiplication | |||
above- | |||
mentioned. | |||
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
application made
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
is made of it.
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.
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