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any other matter <del>of the</del> contained within them.</p> | any other matter <del>of the</del> contained within them.</p> | ||
<p>8. <hi rend="underline">Abstraction</hi> is a Latin word a and corresponds <note>8<lb/> | |||
abstraction is drawing off.</note><lb/> | |||
to our English locution - a drawing off, the idea thus<lb/> | |||
formed-namely the idea of a plain surface is thus<lb/> | |||
termed an <hi rend="underline">abstract idea</hi>.</p> | |||
<p>9. Pursuing the consideration of the subject in the same <note>9<lb/> | |||
In the surface you consider<lb/> | |||
a line only - formed thus<lb/> | |||
abstract idea of the second<lb/> | |||
order.</note><lb/> | |||
way you perform a second act of abstraction and obtain<lb/> | |||
an idea still more abstract, say an abstract idea<lb/> | |||
of the second order: namely that of a <hi rend="underline">line</hi>.</p> | |||
<p>10. Your surface will either have but one boundary <note>10.<lb/> | |||
Surface is either 1. single-<lb/> | |||
line bounded - or 2. many-<lb/> | |||
line-bounded.</note><lb/> | |||
any, constituted in that case by a single line or<lb/> | |||
boundaries more than one constituted by that same<lb/> | |||
number of <hi rend="underline">lines</hi>.</p> | |||
<p>11. If it have but one such boundary, constituted <note>11.<lb/> | |||
If single-line bounded<lb/> | |||
that line is a curve: and<lb/> | |||
that curve is a recurrent<lb/> | |||
curve.</note><lb/> | |||
by a single line, that boundary will be a <hi rend="underline">curve</hi><lb/> | |||
line, that curve line a <hi rend="underline">recurrent</hi> curve.</p> | |||
<p>12. Of which there are several sorts: the <note>12.<lb/> | |||
Curves recurrent are<lb/> | |||
1. Circles - 2. Cycloids</note><lb/> | |||
simplest of then in respect of the conception<lb/> | |||
presented by it being the circle.</p> | |||
1831 May 21
Posology II. Morphoscopics
Ch. Genesis - Analytic
and Synthetic.
I. Analytic
7. Whatsoever be the body as a 7.
Idea of a surface how
produced by the section
of the solid. Thus are
formed the abstract idea of
the first order.
the surface thus brought into existence will form one boundary
of the segment it belongs to; and through thte medium
of the impression produced by it on your mind will
lodge in your mind a correspondent idea - namely the
idea of a place. To this place you are capable of applying
your consideration, without applying it to any
other of the boundaries of the solid in question, or to
any other matter of the contained within them.
8. Abstraction is a Latin word a and corresponds 8
abstraction is drawing off.
to our English locution - a drawing off, the idea thus
formed-namely the idea of a plain surface is thus
termed an abstract idea.
9. Pursuing the consideration of the subject in the same 9
In the surface you consider
a line only - formed thus
abstract idea of the second
order.
way you perform a second act of abstraction and obtain
an idea still more abstract, say an abstract idea
of the second order: namely that of a line.
10. Your surface will either have but one boundary 10.
Surface is either 1. single-
line bounded - or 2. many-
line-bounded.
any, constituted in that case by a single line or
boundaries more than one constituted by that same
number of lines.
11. If it have but one such boundary, constituted 11.
If single-line bounded
that line is a curve: and
that curve is a recurrent
curve.
by a single line, that boundary will be a curve
line, that curve line a recurrent curve.
12. Of which there are several sorts: the 12.
Curves recurrent are
1. Circles - 2. Cycloids
simplest of then in respect of the conception
presented by it being the circle.
Identifier: | JB/135/201/001"JB/" can not be assigned to a declared number type with value 135. |
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