1831 May 21
Posology II. Morphoscopics
Ch. Genesis - 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 the 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
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-
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
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.
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