★ 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>Prefat.(9</head> | |||
<p> <note>Proportion<lb/> | |||
of Equality<lb/> | |||
of Inequality</note><lb/> | |||
obliged to express the Quantities themselves<lb/> | |||
to express them at all.</p> | |||
<p>You <del>have</del> discover the number of aliquots <lb/> | |||
each equal to the common measure<lb/> | |||
which <del><unclear>a e</unclear></del> <add>each</add> contains. If <del>they</del> <add>it</add> be <del>alike you</del> <add>the same the two</add><lb/> | |||
<add>numbers are equal by Ax. you <sic>ma</sic></add> say there is proportion of equality between<lb/> | |||
them.If <del>they</del><add> it</add> be <del>original</del> <add>not the same they are not equal Ax. it is said</add>you say there <lb/> | |||
is proportion of inequality between them. <lb/> | |||
These are all the new Ideas arising from <lb/> | |||
the comparison of one Quantity with another viz<lb/> | |||
that there is Proportion of Equality or inequality <lb/> | |||
between them:</p> | |||
<p>But we have occasion to discover if of two other<lb/> | |||
Quantities the one bears the same proportion to <lb/> | |||
the other as one of these did to the other, in<lb/> | |||
other words we have occasion to compare<lb/> | |||
the proportion between two other Quantities<lb/> | |||
with that between these two<del><unclear>lot to do<gap/> this</unclear></del> <lb/> | |||
now<add> for</add> these two quantities as well as <del>for</del> the other<lb/> | |||
<del>do</del> two there must be found some common <lb/> | |||
measure. Any common measure could do<lb/> | |||
if it only wanted to discover if there<lb/> | |||
was a proportion of equality or inequality <lb/> | |||
between them. but this is not all <lb/> | |||
<unclear>appaires</unclear> it should turn out that there be a</p> | |||
<!-- DO NOT EDIT BELOW THIS LINE --> | <!-- DO NOT EDIT BELOW THIS LINE --> | ||
{{Metadata:{{PAGENAME}}}} | {{Metadata:{{PAGENAME}}}} | ||
Prefat.(9
Proportion
of Equality
of Inequality
obliged to express the Quantities themselves
to express them at all.
You have discover the number of aliquots
each equal to the common measure
which a e each contains. If they it be alike you the same the two
numbers are equal by Ax. you ma say there is proportion of equality between
them.If they it be original not the same they are not equal Ax. it is saidyou say there
is proportion of inequality between them.
These are all the new Ideas arising from
the comparison of one Quantity with another viz
that there is Proportion of Equality or inequality
between them:
But we have occasion to discover if of two other
Quantities the one bears the same proportion to
the other as one of these did to the other, in
other words we have occasion to compare
the proportion between two other Quantities
with that between these twolot to do this
now for these two quantities as well as for the other
do two there must be found some common
measure. Any common measure could do
if it only wanted to discover if there
was a proportion of equality or inequality
between them. but this is not all
appaires it should turn out that there be a
|
Identifier: | JB/135/040/001"JB/" can not be assigned to a declared number type with value 135. |
|||
|---|---|---|---|
|
not numbered |
|||
|
135 |
|||
|
040 |
prefat. |
||
|
001 |
|||
|
copy/fair copy sheet |
4 |
||
|
recto |
f9 / f10 / f11 / f12 |
||
|
sir samuel bentham |
[[watermarks::[gr with crown] [pro patria motif]]] |
||
|
46158 |
|||
