★ Find a new page on our Untranscribed Manuscripts list.
Auto loaded |
No edit summary |
||
| Line 3: | Line 3: | ||
<!-- ENTER TRANSCRIPTION BELOW THIS LINE --> | <!-- ENTER TRANSCRIPTION BELOW THIS LINE --> | ||
<head>1831 March 13 M<lb/> | |||
Posology</head> | |||
<note>Alegomorphics<lb/> | |||
Algebra</note> | |||
<p>4 4</p> | |||
<note>9<lb/> | |||
Equivalences in Algebra<lb/> | |||
— addition + &c.</note> | |||
<p>Exit <del>Enter</del> vulgar arithmetic. Enter <del>algebra</del> scientific<lb/> | |||
arithmetic commonly called <hi rend="underline">algebra</hi> <add>(a)</add>. <add>Of the</add> Ulterior condensations<lb/> | |||
now performed <add>examples</add> are there —</p> | |||
<p>1. To the word <hi rend="underline">addition</hi> is substituted the sign + <add>(b)</add><lb/> | |||
2 To the word <hi rend="underline">multiplication</hi> <add>is substituted</add> the sign x<lb/> | |||
3 To the word <hi rend="underline"><sic>substraction</sic></hi> <add>is substituted</add> the sign -<lb/> | |||
4. To the word division <add>is substituted</add> the sign ÷ <add>(c)</add></p> | |||
<p>Inconsiderable comparatively speaking is <add>the degree of compression, and</add> the saving made<lb/> | |||
in these cases, comparison had with those which <unclear>now</unclear> follow</p> | |||
<note>10<lb/> | |||
Letters of the alphabet<lb/> | |||
used to express any<lb/> | |||
number of combinations<lb/> | |||
— x, y, z.</note> | |||
<p>For giving expression to <add>combinations of</add> quantities in any number<lb/> | |||
results of the several operation of addition multiplication,<lb/> | |||
<sic>substraction</sic> and division <del>for <gap/></del> substituted to each such<lb/> | |||
combination some single letter of the alphabet taken at its<lb/> | |||
commencement or at any rate at a part antecedent to that<lb/> | |||
which is occupied by the three last letters x. y. z.</p> | |||
<note>11.<lb/> | |||
Substitution of single<lb/> | |||
to combinations of<lb/> | |||
signs is carried to any length.</note> | |||
<p>To any length is carried upon occasion this substitution<lb/> | |||
of single signs to combination of signs.</p> | |||
<note>12<lb/> | |||
X, Y, Z, express unknown<lb/> | |||
quantities.</note> | |||
<p>For the giving expression to the quantities as yet unknown,<lb/> | |||
and for the exhibition of the equivalence to which this<lb/> | |||
same algebraical operation or say process is employed, are<lb/> | |||
reserved these three last letters of the alphabet.</p> | |||
<!-- Horizontal line --> | |||
<p>Notes</p> | |||
<p>(a) In Chrestomathia an <del><gap/></del> appellation employed to include<lb/> | |||
in its signification that of <del><gap/></del> arithmetic and that of algebra is<lb/> | |||
<hi rend="underline">arithmology</hi>.</p> | |||
<p>(b) So to the phrase <hi rend="underline">with the addition of</hi> is substituted the<lb/> | |||
latin word <hi rend="underline">plus</hi> in English more. Thus in the case of <hi rend="underline">addition</hi>.<lb/> | |||
In the case of <hi rend="underline">multiplication</hi>, by analogy might have been invalid<lb/> | |||
and employed the <unclear>compound</unclear> word <hi rend="underline"><unclear>plus utiru</unclear></hi>, as inverting<lb/> | |||
the order the word <foreign>ultraplus</foreign>.</p> | |||
<p>(c) ☞ Speak further on of the <unclear>ulterior degree of multiplication</unclear><lb/> | |||
<del>(a) In Chrestomathia</del><lb/> | |||
called <unclear>pairs</unclear>: as expressed by figures placed at the <gap/> and on the<lb/> | |||
right of the algebraically employed <del><gap/></del> concluding letters <gap/>, y, z.</p> | |||
1831 March 13 M
Posology
Alegomorphics
Algebra
4 4
9
Equivalences in Algebra
— addition + &c.
Exit Enter vulgar arithmetic. Enter algebra scientific
arithmetic commonly called algebra (a). Of the Ulterior condensations
now performed examples are there —
1. To the word addition is substituted the sign + (b)
2 To the word multiplication is substituted the sign x
3 To the word substraction is substituted the sign -
4. To the word division is substituted the sign ÷ (c)
Inconsiderable comparatively speaking is the degree of compression, and the saving made
in these cases, comparison had with those which now follow
10
Letters of the alphabet
used to express any
number of combinations
— x, y, z.
For giving expression to combinations of quantities in any number
results of the several operation of addition multiplication,
substraction and division for substituted to each such
combination some single letter of the alphabet taken at its
commencement or at any rate at a part antecedent to that
which is occupied by the three last letters x. y. z.
11.
Substitution of single
to combinations of
signs is carried to any length.
To any length is carried upon occasion this substitution
of single signs to combination of signs.
12
X, Y, Z, express unknown
quantities.
For the giving expression to the quantities as yet unknown,
and for the exhibition of the equivalence to which this
same algebraical operation or say process is employed, are
reserved these three last letters of the alphabet.
Notes
(a) In Chrestomathia an appellation employed to include
in its signification that of arithmetic and that of algebra is
arithmology.
(b) So to the phrase with the addition of is substituted the
latin word plus in English more. Thus in the case of addition.
In the case of multiplication, by analogy might have been invalid
and employed the compound word plus utiru, as inverting
the order the word ultraplus.
(c) ☞ Speak further on of the ulterior degree of multiplication
(a) In Chrestomathia
called pairs: as expressed by figures placed at the and on the
right of the algebraically employed concluding letters , y, z.
|
Identifier: | JB/135/242/001"JB/" can not be assigned to a declared number type with value 135. |
|||
|---|---|---|---|
|
1831-03-13 |
9-12 |
||
|
135 |
posology |
||
|
242 |
posology |
||
|
001 |
|||
|
text sheet |
1 |
||
|
recto |
c4 / e4 |
||
|
jeremy bentham |
street & co 1830 |
||
|
antonio alcala galiano |
|||
|
1830 |
|||
|
46360 |
|||
