138. The periphery is the object in divine consciousness, the point
which, posited without the centre, is thus one and the same, centre
(subject) and periphery (object). It is everywhere the same point, the
same 0, wherever it be posited. Hence the profound saying, "_Mundus est
Sphæra, cujus centrum ubique, circumferentia nusquam_."
139. The surface stands in antagonism to the line, like periphery and
centre; it stands perpendicular upon the radius, and can never pass
parallel to linear action. Electricity ranks in eternal antagonism to
magnetism.
SPHERE, HEAT, CHEMISTRY.
140. The line and surface are density, the representation of time
and space; they have therefore like these originated out of nothing,
namely, out of the point. The sphere is the expanded nothing. Nothing
thus extended, or nothing _posited_, becomes a something, viz. line,
surface, density, polarity. The line is a long nothing, the surface a
hollow nothing, the sphere a dense nothing; in short, the something is
a nothing which has received only predicates. All things are nothings
with different forms. The point is = 0, the line = +, the surface = +-,
the sphere = + 0-.
141. The internal motion of the globe, or the becoming of the globe, is
manifested in the universe as _Heat_, in the planet as _Chemistry_.
ROTATION.
142. The primary sphere is rotating, for it has originated through
motion; the motion of the sphere cannot, however, be progressive,
for it fills everything. God is a rotating globe. The world is God
rotating. All motion is circular, and there is everywhere no straight
motion any more than there is a single line or straight surface.
Everything is comprehended in ceaseless rotation. Without rotation
there is no being and no life; for without it, there is no sphere, no
space and no time.
143. The more perfectly circular the motion of a thing is, so much
the more perfect is it. Straight motion is only the mechanical; such,
however, exists not through itself. The more a body moves in a straight
direction, the more mechanical and ignoble is it. Straight motion too
yields only straight form.
GEOMETRY.
144. The sphere with its attributes is the totality of numbers, is thus
a rotating number. The universe is the same. In arithmetic the quantity
of divine positions is regarded; in the sphere, however, the direction
of these positions, or of series of numbers.
145. The doctrine of the sphere is _Geometry_; for all forms are
contained in the sphere. All geometrical proofs admit of being
conducted through the sphere. Geometry has originated directly from
arithmetic, or is arithmetic itself, with this difference, that the
latter regards series of numbers as individualities, the former,
however, as a whole. Arithmetic is a geometry _seriebus discretis_;
geometry is an arithmetic _seriebus continuis_, a solidified arithmetic.
Public-domain text, read in full here on John Shaqi.
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