★ Find a new page to transcribe in our list of Untranscribed Manuscripts
Auto loaded |
No edit summary |
||
| (2 intermediate revisions by one other user not shown) | |||
| Line 3: | Line 3: | ||
<!-- ENTER TRANSCRIPTION BELOW THIS LINE --> | <!-- ENTER TRANSCRIPTION BELOW THIS LINE --> | ||
' | <head>Prefat: (17<lb/> | ||
Examination of Euclid's V Definition.</head> | |||
<p><note>Objection of<lb/> | |||
Inaccuracy only<lb/> | |||
evaded by<lb/> | |||
Obscurity</note><lb/> | |||
Examine the 5<hi rend='superscript'>th</hi> Definition of Euclid, and shew<lb/> | |||
how after having only put off the operation to a <lb/> | |||
greater distance you are at last obliged to <lb/> | |||
have recourse to the finding a common measure<lb/> | |||
for the pairs to be compared. if so why<lb/> | |||
not confess the necessity of this operation at<lb/> | |||
first, and take that test which any one<lb/> | |||
who compares Quantities in practice makes<lb/> | |||
use of to discover the proportion between <lb/> | |||
them, instead of one which however true<lb/> | |||
it may be requires demonstration [the<lb/> | |||
truth of which is by no means apparent<lb/> | |||
at first right] <del>[</del>and which even is not<lb/> | |||
demonstrated in that Book<del>]</del> and which<lb/> | |||
causes the demonstrations to be much<lb/> | |||
more obscure [complex].</p> | |||
<p><note>Advantages<lb/> | |||
of the New one</note><lb/> | |||
that can be so proper a test <del>for the</del> to <lb/> | |||
judge of the similarity of Proportion by, <lb/> | |||
as that by which you require the <lb/> | |||
Idea of itself. These are some at least<lb/> | |||
of the disadvantages of this <del><unclear>making of</unclear></del> <add>definition</add> <lb/> | |||
<del><gap/></del> and advantages I can see none.<lb/> | |||
<note>Sufficiency of it.</note><lb/> | |||
by the latter way you can always excede <lb/> | |||
Practice in Accuracy and if that be the case</p><pb/> | |||
<!-- DO NOT EDIT BELOW THIS LINE --> | <!-- DO NOT EDIT BELOW THIS LINE --> | ||
{{Metadata:{{PAGENAME}}}} | {{Metadata:{{PAGENAME}}}}{{Completed}} | ||
Prefat: (17
Examination of Euclid's V Definition.
Objection of
Inaccuracy only
evaded by
Obscurity
Examine the 5th Definition of Euclid, and shew
how after having only put off the operation to a
greater distance you are at last obliged to
have recourse to the finding a common measure
for the pairs to be compared. if so why
not confess the necessity of this operation at
first, and take that test which any one
who compares Quantities in practice makes
use of to discover the proportion between
them, instead of one which however true
it may be requires demonstration [the
truth of which is by no means apparent
at first right] [and which even is not
demonstrated in that Book] and which
causes the demonstrations to be much
more obscure [complex].
Advantages
of the New one
that can be so proper a test for the to
judge of the similarity of Proportion by,
as that by which you require the
Idea of itself. These are some at least
of the disadvantages of this making of definition
and advantages I can see none.
Sufficiency of it.
by the latter way you can always excede
Practice in Accuracy and if that be the case
---page break---
|
Identifier: | JB/135/041/001"JB/" can not be assigned to a declared number type with value 135. |
|||
|---|---|---|---|
|
not numbered |
|||
|
135 |
|||
|
041 |
prefat. |
||
|
001 |
|||
|
copy/fair copy sheet |
2 |
||
|
recto |
f17 / f18 / f19 / f20 |
||
|
sir samuel bentham |
[[watermarks::[gr with crown] [pro patria motif]]] |
||
|
46159 |
|||
