★ Find a new page to transcribe in our list of Untranscribed Manuscripts
Auto loaded |
No edit summary |
||
| Line 3: | Line 3: | ||
<!-- ENTER TRANSCRIPTION BELOW THIS LINE --> | <!-- ENTER TRANSCRIPTION BELOW THIS LINE --> | ||
<head>1831 March 15 1 M<lb/> | |||
Posology</head> | |||
<note>Means of facilitation<lb/> | |||
Morphoscopic</note> | |||
<p>1</p> | |||
<p><del>Twig — Rod. Circle — Ring</del> <unclear>Barren</unclear></p> | |||
<note>14* or 1<lb/> | |||
<hi rend="underline">Circle</hi> and <hi rend="underline">Ring</hi> —<lb/> | |||
confusion and ambiguity<lb/> | |||
from their non-<lb/> | |||
distinction<lb/> | |||
<lb/> | |||
The <hi rend="underline">ring</hi> <del><gap/></del> <add>does</add> what<lb/> | |||
the <hi rend="underline">three</hi> right lines do<lb/> | |||
in the <hi rend="underline">triangle</hi>, and the<lb/> | |||
<hi rend="underline">four</hi> in the <sic>parallellogram</sic></note> | |||
<p><hi rend="underline">Circle</hi> <del><gap/></del> and <hi rend="underline">Ring</hi> — Consideration can not but be the<lb/> | |||
obscurity produced by the graphical mode of presenting<lb/> | |||
<add>to the mind</add> the impressions and thence the ideas of these two objects<lb/> | |||
The <hi rend="underline">circle</hi> is an <hi rend="underline">area</hi> a superficies — the <hi rend="underline">ring</hi> a boundary:<lb/> | |||
— the boundary of that same superficies. In the case<lb/> | |||
of this curve-linear figure this one boundary corresponds<lb/> | |||
to the <hi rend="underline">three</hi> boundary lines taken together which have place in<lb/> | |||
the triangular <add>and trilateral</add> right line figures and the <hi rend="underline">four</hi> which have place<lb/> | |||
in the case of the quadrangular and quadrilateral right lined<lb/> | |||
figure — the <sic>parallellogram</sic>.</p> | |||
<note>14** or 2<lb/> | |||
By compasses is<lb/> | |||
described what is<lb/> | |||
called "<hi rend="underline">a circle</hi>", but<lb/> | |||
is no more than a<lb/> | |||
ring.</note> | |||
<p>In the way in which what is called a <hi rend="underline">circle</hi> is described<lb/> | |||
by the instrument — <add>a pair of compasses</add> by which what is called a circle is described<lb/> | |||
what is described is not <del>the</del> a circle but a ring: not<lb/> | |||
the superficies, but only the boundary line of that same super</p> | |||
<note>14*** or 3<lb/> | |||
By nothing but a<lb/> | |||
twig or a bar could<lb/> | |||
a circle be described</note> | |||
<p>Requisite for the describing of that which might with<lb/> | |||
truth be denominated a circle could be that of the twig<lb/> | |||
if <del><gap/></del> a nature-sprung <hi rend="underline">radius</hi> were employed; a w<gap/><lb/> | |||
or a <hi rend="underline">rod</hi> of an art-sprung radius were employed.</p> | |||
<note>14**** or 4<lb/> | |||
Boundaries of areas<lb/> | |||
(superficies) are thus<lb/> | |||
throughout confounded<lb/> | |||
with <add>the</add> areas & <gap/><lb/> | |||
<gap/> thus in the minds<lb/> | |||
of learners and even<lb/> | |||
teachers.</note> | |||
<p>This inattention to the distinction between the boundaries<lb/> | |||
of areas and the areas themselves seems to have place throughout<lb/> | |||
the whole mass of <del><gap/></del> publication of the subject<lb/> | |||
of geometry: and <add>it</add> can not but be productive of no small<lb/> | |||
degree of indistinctness and confusion of ideas in the minds of<lb/> | |||
learners not to speak of teachers.</p> | |||
1831 March 15 1 M
Posology
Means of facilitation
Morphoscopic
1
Twig — Rod. Circle — Ring Barren
14* or 1
Circle and Ring —
confusion and ambiguity
from their non-
distinction
The ring does what
the three right lines do
in the triangle, and the
four in the parallellogram
Circle and Ring — Consideration can not but be the
obscurity produced by the graphical mode of presenting
to the mind the impressions and thence the ideas of these two objects
The circle is an area a superficies — the ring a boundary:
— the boundary of that same superficies. In the case
of this curve-linear figure this one boundary corresponds
to the three boundary lines taken together which have place in
the triangular and trilateral right line figures and the four which have place
in the case of the quadrangular and quadrilateral right lined
figure — the parallellogram.
14** or 2
By compasses is
described what is
called "a circle", but
is no more than a
ring.
In the way in which what is called a circle is described
by the instrument — a pair of compasses by which what is called a circle is described
what is described is not the a circle but a ring: not
the superficies, but only the boundary line of that same super
14*** or 3
By nothing but a
twig or a bar could
a circle be described
Requisite for the describing of that which might with
truth be denominated a circle could be that of the twig
if a nature-sprung radius were employed; a w
or a rod of an art-sprung radius were employed.
14**** or 4
Boundaries of areas
(superficies) are thus
throughout confounded
with the areas &
thus in the minds
of learners and even
teachers.
This inattention to the distinction between the boundaries
of areas and the areas themselves seems to have place throughout
the whole mass of publication of the subject
of geometry: and it can not but be productive of no small
degree of indistinctness and confusion of ideas in the minds of
learners not to speak of teachers.
|
Identifier: | JB/135/373/001"JB/" can not be assigned to a declared number type with value 135. |
|||
|---|---|---|---|
|
1831-03-15 |
14* or 1 - 14**** or 4 |
||
|
135 |
posology |
||
|
373 |
posology |
||
|
001 |
|||
|
text sheet |
1 |
||
|
recto |
c1 |
||
|
jeremy bentham |
street & co 1830 |
||
|
antonio alcala galiano |
|||
|
1830 |
|||
|
46491 |
|||
