★ Find a new page on our Untranscribed Manuscripts list.
Auto loaded |
No edit summary |
||
| (2 intermediate revisions by 2 users not shown) | |||
| Line 3: | Line 3: | ||
<!-- ENTER TRANSCRIPTION BELOW THIS LINE --> | <!-- ENTER TRANSCRIPTION BELOW THIS LINE --> | ||
<head>1828 October 12<lb/> | |||
Posology</head> | |||
<note>31<lb/> | |||
Means of facilitate<lb/> | |||
1. Elimination<lb/> | |||
Incommeasurabity<lb/> | |||
Cause of</note> | |||
<p>P1</p> | |||
<p>Where <add>What</add> on this occasion is the source <add>cause</add> of the difficulty<lb/> | |||
Answer. In the mode employed under the Arabic system when<lb/> | |||
giving expression to numbers under this system the practice<lb/> | |||
of employing a single figure for giving expression to each<lb/> | |||
number stops at No 9. For the designation of the number<lb/> | |||
next beyond it two figures are employed viz that already<lb/> | |||
employed to give expression to No 1 and to this another figure<lb/> | |||
figure 0 is attached. It happens and it should seem unfortunately<lb/> | |||
that this number is not so well suited to the purpose<lb/> | |||
of division as No 12 would be. By two numbers only is No 10<lb/> | |||
divisible without leaving a remainder these are No 2 & No 5<lb/> | |||
divided it by No 3 so you may but then a remainder is<lb/> | |||
left & that remainder is No 1.</p> | |||
<p>Take now No 12 and observe the number of the<lb/> | |||
divisional arrangements to which it is subjectable without<lb/> | |||
the leaving of a remainder.<lb/> | |||
I Operation the First Divisor No 2: <del><gap/></del> Quotient No 6<lb/> | |||
II Operation the second Divisor No 6: Quotient No 2.<lb/> | |||
III Divisor No 3 Quotient No 4<lb/> | |||
IV. Operation the fourth Divisor No 4 Quotient No 3.<lb/> | |||
Number of operations performable without leaving<lb/> | |||
a remainder twice as great in this case as in the<lb/> | |||
former one.</p> | |||
<p>Whether by experience or only by anticipation<lb/> | |||
cannot here be said so it is that a conception has<lb/> | |||
been pretty extensively entertained that if the practice<lb/> | |||
of employing a single figure to the designation<lb/> | |||
of the number in question had instead of stopping<lb/> | |||
at No 9 been carried as far as No 11 the facility<lb/> | |||
thus given to Division as above and thence the<lb/> | |||
facility of employing this mode of designation in<lb/> | |||
Arithmetic would on all occasions in compa<del><gap/></del><add>rison</add><lb/> | |||
of the mode so universally established have been<lb/> | |||
of very considerable use</p> | |||
<!-- DO NOT EDIT BELOW THIS LINE --> | <!-- DO NOT EDIT BELOW THIS LINE --> | ||
{{Metadata:{{PAGENAME}}}} | {{Metadata:{{PAGENAME}}}}{{Completed}} | ||
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. |
|||
|---|---|---|---|
|
1828-10-12 |
|||
|
135 |
posology |
||
|
231 |
posology |
||
|
001 |
|||
|
copy/fair copy sheet |
1 |
||
|
recto |
e1 / g31 |
||
|
b&m 1828 |
|||
|
arthur moore; richard doane |
|||
|
1828 |
|||
|
46349 |
|||
