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
[68] Proclus was born in the year of Christ 412, on the 6th of the Ides
of February. But, for the sake of the astrologers, I have subjoined
the following figure from the Prolegomena of Fabricius to this life:
and though I am not skilled in the art myself, I am persuaded, from
the arguments of Plotinus, that it contains many general truths; but
when made subservient to particulars, is liable to great inaccuracy
and error. In short, its evidence is wholly of a physiognomic nature;
for such is the admirable order and connection of things, that
throughout the universe, one thing is signified by another, and wholes
are after a manner contained in their parts. So that the language of
the obscure and profound Heraclitus is perfectly just, when he says,
“You must connect the perfect and the imperfect, the agreeing and
the disagreeing, the consonant and the dissonant, and out of one all
things, and out of all things one.”
Illustration: A Scheme of the situation of the Stars, such as it
was at Byzantium, when the philosopher Proclus was born.
[69] It was formerly the custom of almost all nations, to have their
burial places in the suburbs, and not in the city itself.
[70] This eclipse happened, according to Fabricius, in A. C. 484. 19
Cal. Feb. at sun-rise.
[71] All the ancient theologists, among whom Plato holds a
distinguished rank, affirmed that the soul was of a certain middle
nature and condition between intelligibles and sensibles: agreeable
to which doctrine, Plotinus divinely asserts that she is placed in
the horizon, or in the boundary and isthmus, as it were, of eternal
and mortal natures; and hence, according to the Magi, she is similar
to the moon, one of whose parts is lucid, but the other dark. Now the
soul, in consequence of this middle condition, must necessarily be the
receptacle of all middle energies, both vital and gnostic; so that her
knowledge is inferior to the indivisible simplicity of intellectual
comprehension, but superior to the impulsive perceptions of sense.
Hence the mathematical genera and species reside in her essence, as
in their proper and natural region; for they are entirely of a middle
nature, as Proclus proves in this and the sixth following chapter.
But this doctrine of Plato’s, originally derived from Brontinus and
Archytas, is thus elegantly explained by that philosopher, in the
concluding part of the sixth book of his Republic. “Socrates, know
then, they are, as we say, two (the Good itself, and the Sun,) and
that the one reigns over the intelligible world, but the other over
the visible, not to say the heavens, lest I should deceive you by the
name. You comprehend then, these two orders of things, I mean the
visible and the intelligible?--Glauco. I do.--Socrates. Continue this
division then, as if it were a line divided into two unequal segments;
and each part again, i. e. the sensible and intelligible, divided
after a similar manner, and you will have evidence and obscurity
placed by each other.
Public-domain text, read in full here on John Shaqi.
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