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added [+]</p><pb/> | added [+]</p><pb/> | ||
Constituent parts of < | <p>Constituent parts of <lb/> | ||
<del>a Geome</del> <lb/> | |||
what is called a <lb/> | |||
Proposition in Geometry <lb/> | |||
are</p> | |||
<p>1. The Enantiative <lb/> | |||
part or what may <lb/> | |||
be called the Enuntiaton</p> | |||
<p>2. The Constructional<lb/> | |||
part as it mat be<lb/> | |||
called, or <gap/> is<lb/> | |||
at present called,<lb/> | |||
the Construction.</p> | |||
<p>3. The Demonstra<lb/> | |||
<add>-tional</add><del>-tive</del> part as it may <lb/> | |||
be called, or as it is <lb/> | |||
at present called the <lb/> | |||
Demonstration.</p> | |||
<p>The subject of a <lb/> | |||
proposition (<add>from</add> a geometrical <lb/> | |||
proposition) is <lb/> | |||
a figure.</p> | |||
<p>The <add><unclear>component</unclear></add> parts of a simple <lb/> | |||
figure are either <lb/> | |||
lines and angles.</p> | |||
<p>The <add>component</add> parts of a <lb/> | |||
compound figure <lb/> | |||
are simple figures <lb/> | |||
or a simple figure <lb/> | |||
or figures with a <lb/> | |||
part or parts of a <lb/> | |||
simple figure or figures.</p> | |||
<p>In the graphical <lb/> | |||
mode of expression <lb/> | |||
<add>in</add> each step <del><gap/></del> stands <lb/> | |||
expressed by a <del>set</del> <lb/> | |||
figure or set of figures <lb/> | |||
which by means of <lb/> | |||
<gap/>laying signs previ<add>ously</add></p><pb/> | |||
Geometry Graphical method of expression S. & J.B. 1778 & 1794
Explanation of a
new mode, (stiled
the Graphical Mode)
of expression and
demonstration in relation
to Geometrical
Proportions
In the Graphical
mode of expression
each step in the proposition is expressed
by signs
instead of words
For this purpose
The proposition
is divided in each
part of it, into as
many different
steps as are capable
of being
distinguished in
it.
Lines {Original
or else
{adjectitious
or probative
Of the lines that
occurr in the
construction-al or the demonstrational
part
of a proposition
those which
occurr in the intiative
part may
mid original
hich for the
of proof are
added [+]
---page break---
Constituent parts of
a Geome
what is called a
Proposition in Geometry
are
1. The Enantiative
part or what may
be called the Enuntiaton
2. The Constructional
part as it mat be
called, or is
at present called,
the Construction.
3. The Demonstra
-tional-tive part as it may
be called, or as it is
at present called the
Demonstration.
The subject of a
proposition (from a geometrical
proposition) is
a figure.
The component parts of a simple
figure are either
lines and angles.
The component parts of a
compound figure
are simple figures
or a simple figure
or figures with a
part or parts of a
simple figure or figures.
In the graphical
mode of expression
in each step stands
expressed by a set
figure or set of figures
which by means of
laying signs previously
---page break---
Identifier: | JB/135/077/002"JB/" can not be assigned to a declared number type with value 135. |
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1778 |
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135 |
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077 |
geometry graphical method of expression s & jb |
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002 |
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rudiments sheet (brouillon) |
2 |
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recto |
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jeremy bentham |
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46195 |
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