The philosophical and mathematical commentaries of Proclus on the first book of Euclid's elements (Vol. 1 of 2) : $b To which are added, A history of the restoration of Platonic theology, by the latter Platonists: And a translation from the Greek of Proclus's Theological elementsProclus
Philosophy
The philosophical and mathematical commentaries of Proclus on the first book of Euclid's elements (Vol. 1 of 2) : $b To which are added, A history of the restoration of Platonic theology, by the latter Platonists: And a translation from the Greek of Proclus's Theological elements
Proclus
Euclid. Elements; Platonists
that the pole should be called the Seal of Rhea[128]; because the
zoogonic, or vivific goddess, pours through these into the universe,
an inexplicable and efficacious power. And the centre they called the
prison of Jupiter; because, since Jupiter has placed a demiurgical
guard in the bosom of the world, he has firmly established it in the
midst. For, indeed, the centre abiding, the universe possesses its
immoveable ornament, and unceasing convolution: and the gods who
preside over the poles, obtain a power collective of divisible natures,
and unific of such as are multiplied: and those who are allotted the
government of the axes, restrain and eternally evolve their perpetual
convolutions. And, if it is lawful to offer our own opinion on this
subject, the centres and poles of all the spheres are the symbols of
the conciliating gods, shadowing forth their imperceptible and unifying
composition. But the axes express the coherencies of the universal
ornaments; and are endued with a power of comprehending the mundane
integrities and periods, in the same manner as their presiding deities,
of such as are intellectual. But the spheres themselves are images
of the gods, called perfectors of works, copulating the principle
with the end, and excelling all figures in simplicity, similitude,
and perfection. But we have been thus prolix, that we might evince
the power of impartibles, and of the terms which the world contains,
and that so far as they bear an image of primary and most principal
causes, they are allotted the most excellent order in the universe.
For centres and poles are not of the same kind with things which
are terminated; but they subsist in energy, and possess an essence,
and perfect power, which pervades through all partible natures. But
many beholding those terms which imperfectly subsist in terminated
essences, consider them as endued with a slender subsistence; and
some indeed say, that they are alone separated from sensibles by
thought; but others, that they have an essence no where but in our
thoughts. However, since the forms of all these are found both in
the nature of intellect, in the ornaments of soul, in the nature of
things, and in inferior bodies, let us consider how, according to the
order they contain, they subsist in the genera of beings. And indeed,
all of them pre-exist in intellect, but in an impartible and uniform
manner: so that they all subsist according to one form, the reason of
a point, which exists occultly and impartibly. But they all subsist
in soul according to the form of a line: on which account Timæus also
composes the soul from right and circular lines: for every circle is
a line alone[129]. But they all subsist in natures, according to the
reason of a plane; and on this account, Plato commands us to manifest
those natural reasons, which are endued with a power of constituting
bodies by a plane. And the resolution of bodies into planes leads us
to the proximate cause of appearances.
Public-domain text, read in full here on John Shaqi.
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