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<head>1828 Sept. 28 M<lb/>
Posology</head>
 
<note>13<lb/>
<del>7.</del> Means of <del>elucidation</del> <add>facilitation</add></note>
 
<p>3</p>
 
<note><del>3</del>20<lb/>
<del>7.</del><lb/>
Exhibit the <hi rend="underline">solids</hi><lb/>
natural and artificial,<lb/>
from whence the ideas<lb/>
of the several abstract<lb/>
fictitious entities, boundaries<lb/>
of those same<lb/>
solids, may have been<lb/>
deduced</note>
 
<p>20 <del>7.</del> For facilitating the keeping in memory the<lb/>
conceptions formed of the various superficial figures<lb/>
exhibited by the several Geometrical entities provide for<lb/>
the inspection of the learner samples of the several physical<lb/>
and real existing <sic>entitiies</sic> chiefly solids from which the<lb/>
ideas of the several geometrical figures may have been<lb/>
derived.</p>
<!-- Horizontal line -->
 
<note>20<add>(a)</add><lb/>
1. Stone <sic>dropt</sic> in<lb/>
water <sic>shews</sic> a <hi rend="underline">circle</hi></note>
 
<p>Note (a)</p>
 
<p>(a) Say <hi rend="underline">chiefly</hi> solids: for <hi rend="underline">one</hi> superficies there is from<lb/>
which the most familiar of these figures cannot but have<lb/>
been derived this is the circle: &#x2014; a figure which<lb/>
presents itself to view as often as a stone or any other<lb/>
solid body is thrown or drops into the water.</p>
 
<note>2 Path of any body<lb/>
<hi rend="underline">falling</hi> <sic>shews</sic> a <hi rend="underline">line</hi></note>
 
<p>Another figure in some sort analogous is that<lb/>
which is presented to view by the path described by a<lb/>
stone or any other solid body convenient for the purpose<lb/>
when on being thrown in the air it reaches the earth.</p>
 
<note>3. Form <del>&#x2014; <gap/></del> <add>&#x2014; <sic>shewing</sic></add><lb/>
solids are<lb/>
1. Natural<lb/>
2. Artificial</note>
 
<p>The solids in question will have been either &#x2014; 1.<lb/>
natural or 2. Artificial: but to the mention made<lb/>
of the artificial on this occasion it may be objected that<lb/>
having been made by the hands of man they cannot<lb/>
any <del>other</del> of them have served for <sic>primor<del><gap/></del>deal</sic><lb/>
archetypes thus for instance in case of a pair of dice<lb/>
it cannot have been by a die that an idea was first<lb/>
given of the solid called by geometricians a cube.</p>
 
<note>4. Form <sic>shewing</sic><lb/>
<hi rend="underline">natural</hi> solids, common-<lb/>
salt<lb/>
crystals: correspondent<lb/>
<hi rend="underline">artificial</hi>,<lb/>
<hi rend="underline">dice</hi>.</note>
 
<p>Instances of natural solids, <del>by</del> <add>from</add> which may have<lb/>
been deduced <del>of</del> the correspondent geometrical solids<lb/>
with their several characteristic surfaces, are the<lb/>
following</p>
 
<p>From the crystals of common <hi rend="underline">salt</hi>, the <hi rend="underline">cube</hi>: correspondent<lb/>
artificial solid, the <hi rend="underline">die</hi>.</p>
 
<note>5 A commencement<lb/>
this of the<lb/>
Conjectural History<lb/>
of Mathematics. See<lb/>
the Chapter so <sic>intituled</sic>.</note>
 
<p>&#9758; The matter here brought to view may constitute<lb/>
the commencement of the Conjectural History<lb/>
of Mathematics. See the Chapter thus <sic>intituled</sic></p>
 






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Latest revision as of 16:08, 13 July 2023

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1828 Sept. 28 M
Posology

13
7. Means of elucidation facilitation

3

320
7.
Exhibit the solids
natural and artificial,
from whence the ideas
of the several abstract
fictitious entities, boundaries
of those same
solids, may have been
deduced

20 7. For facilitating the keeping in memory the
conceptions formed of the various superficial figures
exhibited by the several Geometrical entities provide for
the inspection of the learner samples of the several physical
and real existing entitiies chiefly solids from which the
ideas of the several geometrical figures may have been
derived.

20(a)
1. Stone dropt in
water shews a circle

Note (a)

(a) Say chiefly solids: for one superficies there is from
which the most familiar of these figures cannot but have
been derived this is the circle: — a figure which
presents itself to view as often as a stone or any other
solid body is thrown or drops into the water.

2 Path of any body
falling shews a line

Another figure in some sort analogous is that
which is presented to view by the path described by a
stone or any other solid body convenient for the purpose
when on being thrown in the air it reaches the earth.

3. Form shewing
solids are
1. Natural
2. Artificial

The solids in question will have been either — 1.
natural or 2. Artificial: but to the mention made
of the artificial on this occasion it may be objected that
having been made by the hands of man they cannot
any other of them have served for primordeal
archetypes thus for instance in case of a pair of dice
it cannot have been by a die that an idea was first
given of the solid called by geometricians a cube.

4. Form shewing
natural solids, common-
salt
crystals: correspondent
artificial,
dice.

Instances of natural solids, by from which may have
been deduced of the correspondent geometrical solids
with their several characteristic surfaces, are the
following

From the crystals of common salt, the cube: correspondent
artificial solid, the die.

5 A commencement
this of the
Conjectural History
of Mathematics. See
the Chapter so intituled.

☞ The matter here brought to view may constitute
the commencement of the Conjectural History
of Mathematics. See the Chapter thus intituled




Identifier: | JB/135/375/001"JB/" can not be assigned to a declared number type with value 135.

Date_1

1828-09-28

Marginal Summary Numbering

20, 20a

Box

135

Main Headings

posology

Folio number

375

Info in main headings field

posology

Image

001

Titles

Category

copy/fair copy sheet

Number of Pages

1

Recto/Verso

recto

Page Numbering

e3 / g13

Penner

Watermarks

Marginals

jeremy bentham

Paper Producer

Corrections

jeremy bentham

Paper Produced in Year

Notes public

ID Number

46493

Box Contents

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