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<p>1831 Nov. 7<gap/> ++</p> | |||
<head><del>Posology</del></head> | |||
<note>Euclids Imperfections<lb/> | |||
Definitions</note> | |||
<p><del>☞ Call the Sector of <gap/> <gap/> of the circle</del></p> | |||
<p><del>It is not possible to give</del></p> | |||
<p><del>There is no such thing as giving</del></p> | |||
<note>An angle</note> | |||
<p>To give a definition of an angle is not possible,<lb/> | |||
meaning by a <hi rend="underline">definition</hi> a definition <foreign>per genus</foreign><lb/> | |||
<foreign>et differentiam</foreign>: namely an indication of the genus<lb/> | |||
of which it is a species, and some circumstance belonging<lb/> | |||
to it, in respect of which it differs from<lb/> | |||
ever other species of <del>the</del> <add>that</add> same <hi rend="underline">genus</hi>: in a <del>word, <gap/></del> <add>word,</add><lb/> | |||
you can not say of <del><gap/></del> <add>an</add> angle that it <hi rend="underline">is —</hi> any<lb/> | |||
thing.</p> | |||
<p><del>The <gap/><gap/><gap/><gap/></del> The only<lb/> | |||
form of words by means of which it is capable of<lb/> | |||
being <hi rend="underline">expounded</hi> is a <del>para<gap/></del> <add>+</add> <hi rend="underline">paraphrasis</hi><lb/> | |||
<note><add>+</add> ☞ See the paraphrasis<lb/> | |||
in another<lb/> | |||
leaf.</note></p> | |||
<p>Nor even by a <del>paraphrasis</del> <add>paraphrasis</add> can a complete conception<lb/> | |||
of it be afforded, without the help of some additional observations.</p> | |||
<p><del>To every</del> <add>For conveying</add> a clear and complete conception of an<lb/> | |||
angle relation must be had to a <hi rend="underline">circle</hi>; <add>that is to say</add> either immediately<lb/> | |||
or through the medium of some other figure, by means of<lb/> | |||
the relation which that figure has to a circle; that is to<lb/> | |||
say, <add>either</add> a polygon inscribed in a circle, or a polygon by<lb/> | |||
which the circle is circumscribed. By <del>that</del> <add>this</add> means, and<lb/> | |||
no other can you divide it into <hi rend="underline">parts</hi>: such <del><gap/></del> <add>as</add> those<lb/> | |||
<sic>stiled</sic> <hi rend="underline">degrees</hi>, <del><gap/></del> by which word, by the bye is meant<lb/> | |||
<hi rend="underline">a step</hi>. The <del><gap/></del> subject matter to which the word <hi rend="underline">degree</hi> is<lb/> | |||
applied is in the first instance not the angle but the<lb/> | |||
circle. Of these degrees into which a circle has <del>at</del> <add>(so it has happened)</add><lb/> | |||
<del>circle. For a circle then the number of the degrees is</del><lb/> | |||
been divided is 360 360: and thus and no other is the <note>number which for<lb/> | |||
this purpose has<lb/> | |||
by every body been employed</note></p> | |||
<p><del>360.</del> In no angle can there be <hi rend="underline">more than</hi>, nor even<lb/> | |||
<hi rend="underline">quite as much</hi> as <del><gap/></del> <add>half</add> the number of these degrees namely<lb/> | |||
179 <add>(a)</add> <del><gap/> <add>(a)</add></del> for when the number of these degrees arrives at the<lb/> | |||
180, the <del><gap/></del> <add>form</add> of what is called a <hi rend="underline">section</hi> (it would<lb/> | |||
be more expressively called a <unclear>wedge</unclear>) ceases: <note>it gives place to<lb/> | |||
that of a <del><gap/></del><lb/> | |||
semicircle.</note><lb/> | |||
<del><gap/></del></p> | |||
<note>(a) Each degree<lb/> | |||
is again in common<lb/> | |||
practice subdivided<lb/> | |||
into <add>fractional</add> parts, <del>called minutes</del><lb/> | |||
60 in number<lb/> | |||
called <hi rend="underline">minutes</hi>:<lb/> | |||
each minute into<lb/> | |||
seconds, thence into<lb/> | |||
<gap/> and <gap/> and so on indefinitely: but the only subject matters here in question are the entities<lb/> | |||
called degrees.</note> | |||
<note>Gather degrees<lb/> | |||
steps.<lb/> | |||
Quere how this <gap/><lb/> | |||
stands in <add>the</add> Greek?</note> | |||
<note><del><gap/> <gap/> as <gap/><lb/> | |||
placed to that of <gap/><lb/> | |||
<gap/><lb/> | |||
<gap/></del></note> | |||
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{{Metadata:{{PAGENAME}}}} | {{Metadata:{{PAGENAME}}}}{{Completed}} | ||
1831 Nov. 7 ++
Posology
Euclids Imperfections
Definitions
☞ Call the Sector of of the circle
It is not possible to give
There is no such thing as giving
An angle
To give a definition of an angle is not possible,
meaning by a definition a definition per genus
et differentiam: namely an indication of the genus
of which it is a species, and some circumstance belonging
to it, in respect of which it differs from
ever other species of the that same genus: in a word, word,
you can not say of an angle that it is — any
thing.
The The only
form of words by means of which it is capable of
being expounded is a para + paraphrasis
+ ☞ See the paraphrasis
in another
leaf.
Nor even by a paraphrasis paraphrasis can a complete conception
of it be afforded, without the help of some additional observations.
To every For conveying a clear and complete conception of an
angle relation must be had to a circle; that is to say either immediately
or through the medium of some other figure, by means of
the relation which that figure has to a circle; that is to
say, either a polygon inscribed in a circle, or a polygon by
which the circle is circumscribed. By that this means, and
no other can you divide it into parts: such as those
stiled degrees, by which word, by the bye is meant
a step. The subject matter to which the word degree is
applied is in the first instance not the angle but the
circle. Of these degrees into which a circle has at (so it has happened)
circle. For a circle then the number of the degrees is
been divided is 360 360: and thus and no other is the number which for
this purpose has
by every body been employed
360. In no angle can there be more than, nor even
quite as much as half the number of these degrees namely
179 (a) (a) for when the number of these degrees arrives at the
180, the form of what is called a section (it would
be more expressively called a wedge) ceases: it gives place to
that of a
semicircle.
(a) Each degree
is again in common
practice subdivided
into fractional parts, called minutes
60 in number
called minutes:
each minute into
seconds, thence into
and and so on indefinitely: but the only subject matters here in question are the entities
called degrees.
Gather degrees
steps.
Quere how this
stands in the Greek?
as
placed to that of
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jeremy bentham |
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admiral pavel chichagov |
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