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1831 Nov. 23 | <p>1831 Nov. 23</p> | ||
Posology. | <head>Posology.</head> | ||
Euclids Imperfect | <note>Euclids Imperfect<lb/> | ||
Definitions | Definitions<lb/> | ||
An angle continued | An angle continued</note> | ||
3 | <p>3</p> | ||
(1) | <p>(1)<lb/> | ||
<gap/> <gap/> <gap/> a quote I had <gap/> <gap/> | <gap/> <gap/> <gap/> a quote I had <gap/> <gap/><lb/> | ||
<gap/> <gap/> in that Euclid had, that from that same | <gap/> <gap/> in that Euclid had, that from that same<lb/> | ||
<gap/> <gap/> in any one case | <gap/> <gap/> in any one case</p> | ||
<p>Euclids definition of an angle is a definition <foreign>ig<gap/><lb/> | |||
<gap/> ignotius. According to him an angle <gap/> Greek lettering is | <gap/> ignotius</foreign>. According to him an angle <hi rend="underline"><gap/></hi> <!-- Greek lettering --> is<lb/> | ||
a <gap/>. <gap/>Greek lettering has its configuration in the | a <hi rend="underline"><gap/></hi>. <gap/><!-- Greek lettering --> has its <hi rend="underline">configuration</hi> in the<lb/> | ||
Latin words | Latin words <hi rend="underline">inclusio</hi>. <hi rend="underline">dictum</hi>.. <gap/> according to which<lb/> | ||
it is a bending. But what is a bending? what b<gap/> | it is a <hi rend="underline">bending</hi>. But what is a <hi rend="underline">bending</hi>? what b<gap/><lb/> | ||
has it? It is a mere fictitious entity. The idea | has it? It is a mere <hi rend="underline">fictitious entity</hi>. The idea<lb/> | ||
it presents is rather of a curve than a straight line | it presents is rather of a curve than a straight line<lb/> | ||
for when a straight line a curve for example is <gap/> | for when a straight line — a <unclear>curve</unclear> for example is <gap/><lb/> | ||
what does it make but an curve? what at <gap/> so <gap/>:<lb/> | |||
how can the line be made a strait one without a line | how can the line be made a strait one without a line<lb/> | ||
<gap/> <gap/> <gap/> Curious it is that downe | <gap/> <gap/> <gap/> Curious it is that <sic>downe</sic><lb/> | ||
to this time <gap/> mathematicians all over | to this time <del><gap/></del> mathematicians all over<lb/> | ||
the world should of been | the world should of been conte<hi rend="superscript">d</hi> to take up with<lb/> | ||
such obscure conseptions. | such obscure <sic>conseptions</sic>.</p> | ||
(3) | <!-- <p>(3)<lb/> | ||
Horizontal line | Horizontal line --> | ||
Thus confused is the conception which from<lb/> | |||
the origin of the art and science above to the present <gap/><lb/> | |||
what for these two thousand years men have been<lb/> | |||
content to <add>possess and</add> in<gap/> of <del>these</del>: <add>an effectual</add> subject matter belonging<lb/> | |||
to an art and science of which clearness is regarded<lb/> | |||
as the <add>essential and</add> distinctive character.</p> | |||
<!-- Horizontal line --> | |||
<p>(2)<lb/> | |||
No otherwise than by reference made to the corresponding<lb/> | |||
circle — to the circle in which the lines by which<lb/> | |||
it is bounded terminate, can the angle measured — can<lb/> | |||
the size of it be determined and expressed: <add>and</add> whatsoever<lb/> | |||
be this circle it forms the third b<gap/> a figure is completed,<lb/> | |||
<del>much of that figure</del> <add>a figure named a triangle, and of that a new triangle <gap/></add> it forms the third boundary, the<lb/> | |||
two others being the two right lines <del><gap/></del> between which<lb/> | |||
the angle is contained: nor can this figure, with<lb/> | |||
the angle in question belonging to it, be <add>thus</add> formed, without<lb/> | |||
forming, at the same time the two other <del>sides</del> <add>boundaries</add> of that same<lb/> | |||
triangle.</p> | |||
1831 Nov. 23
Posology.
Euclids Imperfect
Definitions
An angle continued
3
(1)
a quote I had
in that Euclid had, that from that same
in any one case
Euclids definition of an angle is a definition ig
ignotius. According to him an angle is
a . has its configuration in the
Latin words inclusio. dictum.. according to which
it is a bending. But what is a bending? what b
has it? It is a mere fictitious entity. The idea
it presents is rather of a curve than a straight line
for when a straight line — a curve for example is
what does it make but an curve? what at so :
how can the line be made a strait one without a line
Curious it is that downe
to this time mathematicians all over
the world should of been conted to take up with
such obscure conseptions.
Thus confused is the conception which from
the origin of the art and science above to the present
what for these two thousand years men have been
content to possess and in of these: an effectual subject matter belonging
to an art and science of which clearness is regarded
as the essential and distinctive character.
(2)
No otherwise than by reference made to the corresponding
circle — to the circle in which the lines by which
it is bounded terminate, can the angle measured — can
the size of it be determined and expressed: and whatsoever
be this circle it forms the third b a figure is completed,
much of that figure a figure named a triangle, and of that a new triangle it forms the third boundary, the
two others being the two right lines between which
the angle is contained: nor can this figure, with
the angle in question belonging to it, be thus formed, without
forming, at the same time the two other sides boundaries of that same
triangle.
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Identifier: | JB/135/161/001"JB/" can not be assigned to a declared number type with value 135. |
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1831-11-23 |
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135 |
posology |
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161 |
posology |
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001 |
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text sheet |
1 |
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recto |
e3 |
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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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46279 |
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