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S. Media of demonstration &c<lb/> | S. Media of demonstration &c<lb/> | ||
Euclid</note><lb/> | Euclid</note><lb/> | ||
Posology | <head>Posology</head><lb/> | ||
<gap/> Superseded this page but consultable. (5) | <gap/> Superseded this page but consultable. (5) | ||
<p>Of these same < | <p>Of these same <unclear>mention</unclear> of effectuation called in English Postulates<lb/> | ||
or Petitions, <add>(a)</add> Euclid in his Elements gives <hi rend="underline">three</hi>, and no more<lb/> | or Petitions, <add>(a)</add> Euclid in his Elements gives <hi rend="underline">three</hi>, and no more<lb/> | ||
than three. <add>In the | than three. <add>In the words of Stone's translation of Euclid</add> In the <gap/> in which he exhibits them they are these</p> | ||
<p>1 Postulate. The <add> | <p>1 Postulate. The <add>first </add>Gra<gap/> that <hi rend="underline">a right line</hi> may be drawn from any one<lb/> | ||
point to another point.</p> | point to another point.</p> | ||
| Line 24: | Line 24: | ||
<p>After this string this short string of postulations, comes one<lb/> | <p>After this string this short string of postulations, comes one<lb/> | ||
four times as long of axioms "Con<gap/> | four times as long of axioms "Con<gap/> Notices as Axioms" that are<lb/> | ||
stated in Stones translation) 12 in number.</p> | stated in Stones translation) 12 in number.</p> | ||
<p>Note, that in the natural order of things <gap/> of<lb/> | <p>Note, that in the natural order of things <gap/> of<lb/> | ||
<hi rend="underline">axiom</hi> should have come from. <del>Not</del> St<gap/> | <hi rend="underline">axiom</hi> should have come from. <del>Not</del> St<gap/> Nature and not<lb/> | ||
thence Nature when,but all animated Nature is <del><gap/></del> passive,<lb/> | |||
before it is in any direction or manner active<add><gap/></add>: We can see<lb/> | before it is in any direction or manner active<add><gap/></add>: We can see<lb/> | ||
many things <del>before we are</del> <add>before</add> when we can do <gap/> any thing:<lb/> | many things <del>before we are</del> <add>before</add> when we can do <gap/> any thing:<lb/> | ||
| Line 35: | Line 35: | ||
it can do any thing to help itself.</p> | it can do any thing to help itself.</p> | ||
<p><del>Alloy</del> As to | <p><del>Alloy</del> As to his <hi rend="underline">Postulates</hi>, altogether incomplete as<lb/> | ||
well as indistinct <del>run</del> in this occasion must his views<add>view</add> of the<lb/> | well as indistinct <del>run</del> in this occasion must his views<add>view</add> of the<lb/> | ||
subject be <unclear>confessed</unclear> to be: But, of this observation, Sir</p> | subject be <unclear>confessed</unclear> to be: But, of this observation, Sir</p> | ||
<p><del>Let in | <p><del>Let in cases</del> On the present occasion, for the present purpose,<lb/> | ||
let us take in hand his circle.</p> | let us take in hand his circle.</p> | ||
<p>He speaks as if, for <gap/> at the <hi rend="underline">impress</hi>ion and<lb/> | <p>He speaks as if, for <gap/> at the <hi rend="underline">impress</hi>ion and<lb/> | ||
correspondent <gap/>, <del>to</del> with which the denomination <gap/></p> | correspondent <gap/>, <del>to</del> with which the denomination <gap/></p> | ||
<p>The word <hi rend="underline">circle</hi>:, this was but this one way | <p>The word <hi rend="underline">circle</hi>:, this was but this one way or method namely<lb/> | ||
the making use of a <del>line</del> right line with one end <add>the point at</add> of it <sic>fixt</sic><lb/> | the making use of a <del>line</del> right line with one end <add>the point at</add> of it <sic>fixt</sic><lb/> | ||
which every other part is turning round, are thus producing the surface<lb/> | which every other part is turning round, are thus producing the surface<lb/> | ||
which has for its boundary line the recurrent line called a <hi rend="underline">circumference | which has for its boundary line the recurrent line called a <hi rend="underline">circumference</hi> </p> | ||
</hi> < | <note>But the truth is that<lb/> | ||
for the production of the<lb/> | for the production of the<lb/> | ||
same surface of the<lb/> | same surface of the<lb/> | ||
| Line 53: | Line 53: | ||
one case as in the other<lb/> | one case as in the other<lb/> | ||
there are two different ways, correspondent to <gap/> the <gap/> for one another: both of them in use to be un<gap/>ged by Geometricians. And how come in 1 <gap/>ing belongs to the<lb/> | there are two different ways, correspondent to <gap/> the <gap/> for one another: both of them in use to be un<gap/>ged by Geometricians. And how come in 1 <gap/>ing belongs to the<lb/> | ||
<gap/> the <gap/> modes of products. For applied to <del><gap/></del> the subject matter <del>of</del> Posology namely analysis or say <gap/>position and Synthesis <gap/> <gap/> []</note></ | <gap/> the <gap/> modes of products. For applied to <del><gap/></del> the subject matter <del>of</del> Posology namely analysis or say <gap/>position and Synthesis <gap/> <gap/> []</note><lb/> | ||
<note>Composition. Art this see <gap/>.</note><lb/> | <note>Composition. Art this see <gap/>.</note><lb/> | ||
—<lb/> | —<lb/> | ||
1831 May 21 ult
II Morphoscopics
S. Media of demonstration &c
Euclid
Posology
Superseded this page but consultable. (5)
Of these same mention of effectuation called in English Postulates
or Petitions, (a) Euclid in his Elements gives three, and no more
than three. In the words of Stone's translation of Euclid In the in which he exhibits them they are these
1 Postulate. The first Gra that a right line may be drawn from any one
point to another point.
2. Postulate the second. That a finite right llne may be continued
directly forward.
3. Postulate the third. That a circle may be described from
centre to any distance
After this string this short string of postulations, comes one
four times as long of axioms "Con Notices as Axioms" that are
stated in Stones translation) 12 in number.
Note, that in the natural order of things of
axiom should have come from. Not St Nature and not
thence Nature when,but all animated Nature is passive,
before it is in any direction or manner active: We can see
many things before we are before when we can do any thing:
A child just born has some perception of surrounding objects, before
it can do any thing to help itself.
Alloy As to his Postulates, altogether incomplete as
well as indistinct run in this occasion must his viewsview of the
subject be confessed to be: But, of this observation, Sir
Let in cases On the present occasion, for the present purpose,
let us take in hand his circle.
He speaks as if, for at the impression and
correspondent , to with which the denomination
The word circle:, this was but this one way or method namely
the making use of a line right line with one end the point at of it fixt
which every other part is turning round, are thus producing the surface
which has for its boundary line the recurrent line called a circumference
But the truth is that
for the production of the
same surface of the
same dimensions in the
one case as in the other
there are two different ways, correspondent to the for one another: both of them in use to be unged by Geometricians. And how come in 1 ing belongs to the
the modes of products. For applied to the subject matter of Posology namely analysis or say position and Synthesis []
Composition. Art this see .
—
(+) Namely for the Latin verbs postulo to require, and peto beg;
not in their eachinstance from the Greek, as in the instance of theorems, and
problems.
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jeremy bentham |
street & co 1830 |
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antonio alcala galiano |
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1830 |
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"superseded this page but consultable" |
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