to _a c_. The parallelogram, therefore, _a b f c_, is double of the
triangle. And hence, the quadrilateral figure, _a b c d_, is more
than double of the triangle. This being shewn; we affirm, that when
there is a quadrilateral figure, whose two opposite sides only, are
parallel, if one of the parallel sides is bisected, and right lines
are drawn from it to the other side, the quadrilateral figure, is
either more or less than double of the triangle resulting from such a
construction. But if one of the sides by which the parallel lines are
conjoined, is bisected, and certain right lines are drawn from it to
the remaining side, the quadrilateral figure, will be perfectly double
of the triangle which is produced. And this may be shewn as follows.
Let there be a quadrilateral figure _a b c d_, and let the side _a d_,
be parallel to the side _b c_, and bisect _d c_, in the point _e_,
and connect the right lines _a e_, _e b_, and produce _b e_, till it
coincides with _a d_, in some point, as _f_. Because, therefore, the
angles at the point _e_, are equal, for they are vertical; likewise,
because the angle _f d e_, is equal to the angle _b c e_, the side
also _f e_, will be equal to the side _e b_, and the triangle _d e f_,
will be equal to the triangle _b c e_. Let the common triangle _a d
e_, be added. The whole triangle, therefore, _a e f_, is equal to the
two triangles _a d e_, _b c e_. But the triangle _a e f_, is equal to
the triangle _a e b_: for they are upon equal bases, _b e_, _e f_, and
between the same parallels, if a line parallel to _b f_, is drawn[43].
Hence, the triangle _a e b_, is equal to the triangles _a d e_, _b c
e_, and the quadrilateral figure _a b c d_, is double of the triangle
_a e b_, which was to be shewn. After the same manner, we may shew,
that if the side _a b_, is bisected, and certain right lines are drawn
from it, to the side _e d_, the quadrilateral figure will be double
of the triangle formed by such a construction. If, therefore, one
of the sides by which the parallel lines are conjoined is bisected,
and from it certain right lines are drawn to the remaining side, the
quadrilateral figure shall be double of the triangle. And these things
are demonstrated for the sake of geometrical exercise. Let us now
proceed to the subsequent propositions.
[Illustration]
PROPOSITION XLII. PROBLEM XI.
To construct a parallelogram equal to a given triangle, in a given
rectilineal angle[44].
* * * * *
PROPOSITION XLIII. THEOREM XXXII.
The complements of parallelograms, situated about the diameter
of every parallelogram, are equal to each other.
[Illustration]
_The beginning of this commentary is wanting._
* * * * *
that parallelograms are not mutually conjoined according to one
point, and that the complements are not quadrilateral; it is requisite
that placing this also as a case, we should regard the same accident.
For let there be a parallelogram _a b_, having the parallelograms _c
k_, _d l_, about the same diameter, and let a certain right line _k
l_, which is a part of the diameter intervene between them. Again,
therefore, you may say the same, viz. that the triangle _a c d_,
is equal to the triangle _b c d_, and the triangle _e c k_, to the
triangle _k c f_; and likewise the triangle _d g l_, to the triangle _d
h l_. The remaining figure, therefore, _a g l k e_, of five sides, is
equal to the remaining five-sided figure _b f k l h_. But these were
the complements. Again, if the parallelograms are neither conjoined
according to a point, nor distant from each other, but mutually cut
each other, on this hypothesis also, the demonstration will be the
same. For let there be a parallelogram _a b_, and a diameter _c d_, and
let parallelograms be constructed about it, one of which is _e c f l_,
but the other, by which this also is intersected, _d g k h_. I say that
the complements _f g_, _e h_, are equal. For since the whole triangle
_d g k_, is equal to the whole triangle _d h k_, but a part of it also,
the triangle _k l m_, is equal to the triangle _k l n_; (since _l k_ is
a parallelogram); hence the remaining trapezium _d l n h_, is equal to
the remaining trapezium _d l m g_. But the triangle _a d c_, is equal
to the triangle _b c d_, and the triangle _f c l_, in the parallelogram
_e f_, to the triangle _e c l_, and the trapezium _d g m l_, to the
trapezium _d h n l_. The remaining quadrilateral figure, therefore _g
f_, is not unequal to the remaining quadrilateral figure _e h_. And
hence, the theorem is exhibited according to all its cases. But there
are three only, and neither more nor less. For the parallelograms
consisting about the same diameter, either cut each other or touch
each other, according to a point, or are distant from each other by a
certain part of the diameter.
[Illustration]
But the institutor of the Elements assumes the appellation of
_complements_, from the thing itself, so far as these also, besides
two parallelograms, fill up the whole: and on this account, it was
not of itself thought worthy of being remembered in the definitions.
For, indeed, variety is requisite to its declaration, such as the
knowledge of a parallelogram, and what those parallelograms are, which
are about the diameter of the whole parallelogram; since, when these
are explained, this likewise becomes known. But those parallelograms
are about the same diameter, which have a part of the whole diameter
for their own: and those which have not this condition, are by no
means about the same diameter. For when the diameter of the whole
parallelogram is cut by the sides of an internal parallelogram, then
this parallelogram is not about the same diameter with the whole
parallelogram. As for example, in the parallelogram _a b_, let the
diameter _c d_, cut the side _e h_, of the parallelogram _c e_. The
parallelogram, therefore, _e c_, is not about the same diameter with
the parallelogram _c d_.
[Illustration]
PROPOSITION XLIV. PROBLEM XII.
To a given right line, to apply a parallelogram equal to a given
triangle, in an angle which is equal to a given right lined
angle.
According to the Familiars of Eudemus, the inventions respecting
the _application_, _excess_, and _defect_ of spaces, is ancient, and
belongs to the Pythagoric muse. But junior mathematicians receiving
names from these, transferred them to the lines which are called conic,
because one of these they denominate a parabola, but the other an
hyperbola, and the third an ellipsis[45]; since, indeed these ancient
and divine men, in the plane description of spaces on a terminated
right line, regarded the things indicated by these appellations. For
when a right line being proposed, you adapt a given space to the whole
right line, then that space is said to be _applied_; but when you make
the longitude of the space greater than that of the right line, then
the space is said to _exceed_; but when less, so that some part of the
right line is external to the described space, then the space is said
to be _deficient_. And after this manner, Euclid, in the sixth book,
mentions both excess and defect. But in the present problem he requires
application, wishing to apply to a given right line a parallelogram
equal to a given triangle; that we may not only have the construction
of a parallelogram equal to a given triangle, but also an application
to a determinate right line. As for example, a triangle being given,
having an area of twelve feet, but a right line being proposed, whose
length is four feet, we may apply to the right line a parallelogram
equal to the triangle, if when we assume the whole length of four
feet, we find how many feet the breadth ought to contain, that the
parallelogram may become equal to the triangle. When, therefore, we
have discovered that the breadth is three feet, and have multiplied
the length with the breadth, the proposed angle being right, we shall
obtain the desired space. And such is the verb _to apply_, formerly
delivered by the Pythagoreans. But there are three things given in the
present problem; one, the right line to which it is to be so applied,
that it may become the whole side of that space; but the other is the
triangle to which that which is applied ought to be equal; and the
third is the angle to which it is requisite that the angle of the space
should be equal. And here it is again perspicuous, that when the angle
is right, the space which is applied, is either a quadrangle, or an
oblong; but when it is either acute or obtuse, the space is either a
rhombus, or rhomboides. Besides, this too is manifest, that the right
line ought to be finite; since this cannot be accomplished on an
infinite line. At the same time, therefore, as he says, _to apply to a
given right line_, he indicates that the right line must be necessarily
finite. But he uses in the construction of the present problem, the
construction of a parallelogram equal to a given triangle; since, as
we have observed, application is not the same with construction. For
the latter, indeed, constructs both the whole space, and all the sides;
but the former, when it has one side given, constitutes on this the
space, because it is neither deficient, nor exceeds according to this
extension, but uses this one side which comprehends the area. But you
may perhaps say, why does he use theorems, when he shews triangles
equal to triangles; but problems, when he shews triangles equal to
parallelograms? We reply, it is because equality spontaneously arises
in things of the same species; but requires origin, and fabrication, in
things of a dissimilar species, on account of the mutation subsisting
according to species, since it is by itself difficult of invention.
PROPOSITION XLV. PROBLEM XIII.
To construct a parallelogram equal to a given right-lined
figure, in a given rectilineal angle.
The present is more universal than the two problems, in which he
invented as well the construction, as the application of parallelograms
equal to a given triangle. For whether a triangle, or a quadrangle,
or any other quadrilateral figure is given, we may construct a
parallelogram equal to it, by the present theorem; since every
right-lined figure, as we have previously observed[46], may be
essentially resolved into triangles, and we have delivered a method
of discovering the multitude of triangles. When, therefore, we have
resolved a given rectangle into triangles, and have constructed a
parallelogram equal to one of them, and have applied to a given
right line, parallelograms equal to the rest; then, by assuming
that to which we have made the first application, we shall have
a parallelogram composed from these parallelograms, equal to the
right-lined figure composed from those triangles, and the thing
desired, will be accomplished. Hence, though such a rectangle should
be a figure of ten sides, yet, by resolving it into eight triangles,
and constructing a parallelogram equal to one of them, and seven times
applying parallelograms equal to the rest, we shall obtain the object
of investigation. But, as it appears to me, the ancients being incited
by this problem, sought how to describe a quadrangle equal to a circle.
For if a parallelogram can be found equal to any right-lined figure,
it deserves to be enquired whether right-lined figures also, can be
shewn equal to such as are curve-lined. And Archimedes shews that every
circle is equal to a right-angled triangle, one of whose radii is equal
to one of the sides which are about the right angle of the triangle;
but whose ambit is equal to the base. However, of this elsewhere: let
us now proceed to the consequent propositions.
PROPOSITION XLVI. PROBLEM XIV.
To describe a quadrangle from a given right line.
Euclid requires this problem, most particularly, in the construction
of the following theorem. But he appears to have been desirous to
deliver the origin of the two best rectilineal figures, viz. the
equilateral triangle, and the quadrangle; because these right lined
figures are required in the constitution of the mundane figures, and
particularly of those four, to which origin and dissolution belong.
For the icosaedron and the octaedron, and the pyramid, are composed
from equilateral triangles; but the cube from quadrangles. And on this
account, as it appears to me, he has principally _constructed_ the
former, but _described_ the latter. For he has discovered appellations
adapted to these figures: since the equilateral triangle, so far as its
composition is various, requires _construction_; but the quadrangle,
so far as it originates from one side, requires _description_. For
we cannot produce a triangle in the same manner as a quadrangle,
by multiplying the number of a given right line into itself; but
when we have conjoined right lines produced by other means, with
the extremities of the given right line, we construct from these
one equilateral triangle: and the description of circles, profits
in discovering that point from which it is requisite to connect
right lines, to the extremes of the proposed right line. But these
observations are indeed perspicuous.
[Illustration]
It may, however, be shewn, that the right lines, from which
quadrangles are described, being equal, the quadrangles also shall be
equal. For let the right lines _a b_, _c d_, be equal, and from _a b_,
describe the quadrangle _a b c g_, but from _c d_, the quadrangle _c
d h f_, and connect the right lines _g b_, _h d_. Because, therefore,
the right lines _a b_, _c d_, are equal, _a g_, _h c_, are also equal;
and they comprehend equal angles, and the base _g b_, is equal to the
base _h d_, and the triangle _a b g_, to the triangle _c d h_; and the
doubles of these are equal. Hence the quadrangle _a c_, is not unequal
to the quadrangle _c f_. But the converse of this also is true. For
if the quadrangles are equal, the right lines, also, from which they
are described, will be equal. Thus let the quadrangles _a f_, _c g_,
be equal, and let them be so placed, that the side _a b_, may be in a
right line with the side _b c_. Since therefore, the angles are right,
the right line also _f b_, will be in a direct position, with the
right line _b g_. Let the right lines _f c_, _a g_, _a f_, _c g_, be
connected. Because, therefore, the quadrangle _a f_, is equal to the
quadrangle _c g_; the triangle, also, _a f b_, is equal to the triangle
_c b g_. Let the common triangle _b c f_, be added. The whole triangle,
therefore, _a c f_, is equal to the whole triangle _c f g_.
[Illustration]
Hence, _a g_ is parallel to _f c_. Again, because, as well _a f g_,
as the angle _c g b_, is the half of a right angle, _a f_, is parallel
to _c g_. The right line, therefore, _a f_, is equal to the right line
_c g_, since they are the opposite sides of a parallelogram. Because,
therefore, there are two triangles, _a b f_, _b c g_, which have the
alternate angles equal, since _a f_, _c g_, are parallel; likewise one
side _a f_, equal to the side _c g_, the side, also, _a b_, shall be
equal to the side _b c_, and the side _b f_, to the side _b g_. And
thus it is shewn, that the quadrangles _a f_, _c g_, being equal, the
sides, also, from which they are described are equal.
PROPOSITION XLVII. THEOREM XXXIII.
In right angled triangles, the quadrangle, which is described
from the side subtending the right angle, is equal to the
quadrangles which are described from the sides comprehending the
right angle.
If we attend to the historians of antiquity, we shall find them
referring the present theorem to Pythagoras, and asserting that he
sacrificed an ox or its invention. For my own part, I admire those
who first investigated the truth of this theorem: but I possess a
greater admiration for the elementary institutor, not only because he
establishes its truth by evident demonstration, but likewise, because
he persuades us by scientific reasons, which cannot be confuted of a
theorem more universal than this in his sixth book[47]. For in that
he shews universally, _that in right-angled triangles, the figure
described from the side subtending the right angle, is equal to the
figures described from the sides comprehending the right angle, when
they are similar to the former figure, and are similarly described_.
For every quadrangle is similar to every quadrangle; but all
right-lined figures similar to each other, are not quadrangles: since
in triangles, and other multangles, similitude is inherent. Hence,
the reason which demonstrates that the figure described from the side
subtending the right angle, whether it is quadrangular, or of some
other form, is equal to the figures subsisting about the right angle,
similar to the former, and similarly described; exhibits something
more universal, and which possesses a greater power of producing
science, than the reason exhibits, affirming a quadrangle alone,
equal to quadrangles. For in the former case, it becomes manifest by
an universal ostension, that the rectitude of the angle affords to
the figure described from its subtending side, equality, to all the
figures, subsisting about its comprehending sides, similar to the
former, and similarly described: just as obtuseness is the cause of
excess; but acuteness of diminution. But how this theorem is evinced,
will be perspicuous, when we comment on it in the sixth book.
But let us now consider the truth of the present theorem, only adding
this, that _universal_ ought not to be shewn here, by him who has
taught nothing concerning the similitude of right-lined figures, and
the doctrine of proportion: for many things which are here exhibited
more particularly, are in that theorem shewn more universally by
the same method. The institutor of the Elements, therefore, shews
the thing proposed in the present, from the common contemplation
of parallelograms. But since right-angled triangles are two-fold,
i.e. either isosceles, or scalene; in isosceles triangles, we shall
never find numbers corresponding with the sides: for there is no
quadrangular number, exactly double of another quadrangular number;
since the square from the septenary is double of the square from the
quinary, by a deficience of unity. But in scalene triangles it is
possible, that numbers may be assumed, so as evidently to evince, that
the square from the side subtending the right angle, is equal to the
squares from the sides subsisting about the right angle. And of this
kind is the triangle in the republic, whose right angle is contained
by the ternary, and quaternary, but is subtended by the quinary. The
quadrangle, therefore, from the quinary, is equal to the quadrangles
from the other numbers: for this is twenty-five; but the quadrangle
from the ternary is nine, and from the quaternary sixteen. And thus
what we have asserted is perspicuous in numbers.
But there are delivered certain methods of inventing triangles of this
kind, one of which they refer to Plato, but the other to Pythagoras,
as originating from odd numbers. For Pythagoras places a given odd
number, as the least of the sides about the right angle, and when he
has received the quadrangle produced from this number, and diminished
it by unity, he places the half of the remainder, as the greatest of
the sides about the right angle; and when he has added unity to this,
he produces the remaining side which subtends the right angle. Thus
for example, when he has assumed the ternary, and has produced from
it a quadrangular number, and from this number nine, has taken unity,
he assumes the half of eight, that is four, and to this again he adds
unity, and makes five; and thus discovers a right-angled triangle,
having one of its sides of three, but the other of four, and the other
of five units. But the Platonic method originates from even numbers.
For when he has assumed a given even number, he places it as one of the
sides about the right angle, and when he has divided this into half,
and has produced a quadrangular number from the half, when he has added
unity to this quadrangle, he forms the subtending side, but when he has
taken unity from the quadrangle, he forms the remaining side about the
right angle. Thus for example, when he has assumed the number four, and
has multiplied the half of this into itself, and produced four, when he
takes away unity he forms the number three, but when he adds unity, he
produces the number five; and thus he has the same triangle effected,
as by the Pythagoric method. For the square from the number five, is
equal to the squares from the numbers three, and four. And thus much
for the digression of the present narration. But as the demonstration
of the elementary institutor is perspicuous, I do not think, that any
thing should be added, because it would be superfluous; but we should
be content with what is written. For those who have added any thing
more, as the familiars of Hero and Pappus, have been obliged to assume
in an affair of no difficulty, some of the propositions of the sixth
book; and the cause which regards this affair. We shall therefore pass
on to the following theorem.
PROPOSITION LXVIII. THEOREM XXXIV.
If the quadrangle described from one side of a triangle, is
equal to the quadrangles described from the other two sides of
the triangle: then the angle comprehended by the remaining two
sides of the triangle, is right.
[Illustration]
This theorem is the converse of the preceding, and the whole is
converted to the whole. For if the triangle is rectangular, the
quadrangle which is described, from the side subtending the right
angle, is equal to the quadrangles described from the other sides:
and if the square from this, is equal to the squares from the other
sides, the triangle is rectangular, because it has the angle right,
which is comprehended by the remaining sides. And the demonstration
of the Elementary institutor is indeed conspicuous. But when there is
a triangle _a b c_, having the quadrangle, which is described from
the side _a c_, equal to the quadrangles from the sides _a b_, _b c_,
since in the triangle, a right line from the point _b_, is raised at
right angles to the side _b c_, if it should be said, that the right
line must be raised at right angles, to other parts, and not at those
to which the elementary institutor raises it, we assert that this is
an impossibility. For it can neither fall within, nor without the
triangle; and can be no other than _a b_. For if possible, let it fall
as _b e_. Because, therefore, the angle _e b c_, is right, the angle _c
f b_, is doubtless acute; and hence, the remaining angle _a f b_, will
be obtuse. The side, therefore, _a b_, is greater than the side _b f_.
Let a line _b e_, be placed equal to _a b_, and connect _e c_. Because,
therefore, the angle _e b c_, is right, the quadrangle described from
the side _e c_, is equal to the quadrangles from the sides _e b_, _b
c_. But _e b_ is equal to _b a_. The quadrangle, therefore, from the
side _e c_, is equal to the quadrangles from the sides _a b_, _b c_.
But the quadrangle from the side _a c_, was also equal to the same.
Hence, the quadrangle from the side _e c_, is equal to that which is
described from the side _a c_; and so _e c_ is equal to _a c_. Two
right lines, therefore, _b e_, _e c_, are equal to the two _b a_, _a
c_, each to each, and are constructed upon the right line _b c_, which
is impossible. And hence, the line raised at right angles, does not
fall within the right line _a b_.
[Illustration]
But neither can it fall without, towards other parts of the right line
_a b_. For if possible, let it fall as _b g_, and let _b g_ be equal
to _a b_, and connect _c g_. Because, therefore, the angle _g b c_,
is right, the quadrangle described from the side _g c_, is equal to
the quadrangles from the sides _b g_, _b c_. But the quadrangle also,
from the side _a c_, was equal to the quadrangles from the sides _a
b_, _b c_, but _a b_ is equal to _g b_; and so _g c_ is equal to _a
c_. But the right line _g b_, also, is equal to the right line _b a_,
upon one right line _b c_, which is impossible. Hence, the right line
which is raised from the point _b_, at right angles to _b c_, neither
falls within, nor without the side _a b_; and therefore falls upon it.
And so the objection is dissolved. But the institutor of the Elements,
thus far completes his first book, in which he has delivered many
species of conversions; (for he often converts the whole of theorems to
the whole, and wholes to parts, and parts to parts) and has invented
a great variety of problems; (for he has delivered the sections,
positions, constructions, and applications of lines and angles).
He likewise touches upon that mathematical place which is called
admirable; and sufficiently brings local theorems into our remembrance.
Besides, he unfolds the elementary institution of universal and
particular theorems, and indicates the difference of indeterminate, and
determinate problems; all which, attending him in his progress, we have
orderly explained. Lastly, he refers the whole book to one purpose, I
mean the elementary institution, of the contemplation respecting the
more simple rectilineal figures; and finally, he investigates their
constructions, and considers their essential properties. But we,
indeed, shall give thanks to the gods, should we be able to comment
on the other books, in a similar manner. In the mean time, if other
cares should prevent the execution of our design, it is my opinion,
that such as are studious of these contemplations, ought to expound the
other books, after the same mode; by investigating that which is every
where difficult, and pertinent to the subject, and capable of an easy
division. For, indeed, the commentaries which are circulated at the
present period, are replete with great and various confusion, because,
at the same time, they neither infer any assignation of cause, nor
dialectic judgment, nor philosophic contemplation.
END OF THE COMMENTARIES.
THE
HISTORY
OF THE
RESTORATION OF THE PLATONIC THEOLOGY.
By the latter PLATONISTS.
SECT. I.
The Grecian theology, the history of whose restoration by the latter
Platonists is the design of the present dissertation, did not originate
among the Greeks, but was the progeny of barbarian propagation.
This will be evident by considering that Orpheus was a Thracian;
Thales, a Phœnician; Hermes Trismegistus, an Egyptian; Zoroaster,
a Persian; Anacharsis, a Scythian; and Pherecydes, a Syrian. Yet
though Greece was not the parent of theology, she was notwithstanding
her benevolent nurse, by whom she was kindly educated, and received
the full perfection of her nature. Indeed, though illustrious men
flourished in the East, and theology was there particularly cultivated,
yet her education was limited and rough, entangled with inexplicable
ceremonies, and guarded by the sanctity of inviolable oaths. But
when she was removed into the Grecian soil, and experienced the
happy temperature of its climate, her genius became both elegant and
profound; her person magnificent and graceful; and her ceremonies
rational and sublime. Particular nations, indeed, seem to have been
distinguished for particular pursuits. Thus the Egyptians appear to
have excelled in the powers of invention; and the East, in general, has
been remarkable for its attachment to the most recondite and mystic
philosophy. Thus the Romans were famous for the arts of eloquence and
war; and the Greeks have ever been celebrated as a people by whom
every branch of knowledge received its ultimate perfection. They were
a nation equally favoured by the graces, the muses, and philosophy;
whose celestial union formed the divine genius of Homer, and inspired
that elegance and depth with which the works of Plato are replete. They
were, in short, the standards of excellence to the ancient, and are
the objects of imitation to the enlightened part of the present world;
and their theology, as well as their arts, will be admired when modern
systems are no more.
It appears at first view strange that this sublime theology should rise
to its pristine perfection during the decline of the Roman empire; and
at a period when a new religion (I mean the Christian) was continually
increasing in reputation, and advancing with rapid steps to a despotic
establishment. But if we attentively consider, we shall find that
the very causes which apparently threatened its destruction were the
natural and proper sources of its renovation. As every part of the
universe subsists by perpetual change, it is necessary that philosophy
and the sciences, with respect to their appearance or the contrary,
should share in the general mutability of things: but at the same time,
it is necessary to their preservation to after-ages, that the order of
their revolution should be retrograde to that of sensible particulars.
Hence we shall often find, that while kingdoms descend in the circle of
vicissitude, philosophy ascends, and perhaps attains to her ultimate
perfection, at the very period when the most powerful nations become
extinct. Thus the falling empire of the Romans was naturally connected
with the rising greatness of philosophy; and the foreign ceremonies of
a new religion, were the proper means of bringing to light the secret
mysteries of the old. We may add too, that the same circumstances
produced the great difference between the first and last appearance
of this sublime theology. While Greece maintained her independence
unconscious of the Roman yoke, and undisturbed by religious invasions,
she disdained to expose her genuine wisdom to vulgar inspection, but
involved it in the intricate folds of allegory; and concealed it from
the profane under the dark veil of impenetrable mystery. But when she
lost her liberty and submitted to foreign dominion, when her most
ancient rites were threatened with invasion, and her sacred mysteries
were treated with contempt, she found it necessary to change the dress
of theology and to substitute a simple and elegant garb, instead of one
highly marvellous and mystic.
Yet we must not imagine that theology, now stript of her ancient
concealments, became the object of open inspection to the profane and
vulgar eye. She had not lost her refulgence, though she had changed
her appearance: for the rays of celestial majesty yet beamed from her
countenance, with a light awful and terrific to the multitude, but
lovely and alluring to the wise. Hence the splendors of divinity no
less secured her person from impious curiosity than the dark symbols
in which she was formerly involved. The enchanting imagery of a
celestial phantasy, and the pure light of an exalted intellect, while
they captivated and converted the philosophical part of mankind, were
inaccessible to the vulgar, whose mental eye, yet lost in the night
of oblivion, was darkened by the splendid vision. However, though the
real person of theology was not the object of vulgar inspection, her
shadow at least was beheld by the benighted multitude, and became the
subject of ridiculous opinions, and idle investigation. Hence some of
these astonished with the majesty of her image, fondly fancied she
was the progeny of the Jewish religion; and that her sacred mysteries
were nothing but corrupt imitations of Mosaic divinity: while others,
measuring the obscurity of her real person by the darkness of her
shadow, considered her doctrines as delusions, and her sublimest truths
as the reveries of a distempered imagination. Thus was true theology
perverted and vilified by the multitude, when she appeared in her
natural dress to mankind; till, in a few centuries after, indignant of
the daring profanation, she ascended to her native heaven, and left the
sons of folly involved in the shades of midnight error, and the gross
delusions of fancied inspiration.
But let us contemplate her history more minutely, and mark the several
particulars which distinguished her appearance on the earth. Let us
survey the lives of the great geniuses who so largely participated her
celestial light; and who so admirably transfused it in their writings
for the benefit of hitherto ungrateful posterity. Let us view with
wonder how she rose in majesty, as Rome declined in power, and appeared
in full perfection invested with celestial honours, and surrounded
with a godlike band of philosophic heroes, while that mighty empire
was rapidly diminishing in bulk, and on every side nodding to its
dissolution.
We are informed by Proclus[48], that all the Grecian theology is
the progeny of the mystic discipline of Orpheus; and that Pythagoras
was the first who learned the orgies of the gods from Aglaophemus
the disciple of Orpheus. This sacred theology was fully displayed by
Orpheus, with all the graces of poetical diction, accompanied with the
fury of the muses and divine illumination, in a great work entitled,
_The Sacred Discourse_, which was divided into twenty-four rhapsodies,
and which has unhappily perished in the ruins of time. In this
inestimable work, if we may be allowed to conjecture from a treatise of
the same name composed by Pythagoras, and often mentioned by Syrianus,
all the orders of the gods were celebrated from the highest principle
of things, to the last processions of the mundane divinities. But
Pythagoras was no doubt deeply indebted for a part of this knowledge to
the doctrine of Zoroaster, whose dogmata, according to Apuleius[49], he
embraced, and whose profound mysteries involved in oracular darkness,
we may presume he communicated to his initiated disciples. The whole
of this recondite theology was afterwards received by Plato from the
writings of Archytas, Philolaus, and other Pythagoreans, but was
so concealed by poetical embellishments, and mystical traditions,
that, like the numbers of Pythagoras, it was alone adapted to the
comprehension of a penetrating and sagacious few.
It is, however, a remarkable historical fact that this theology
was lost for many centuries among the disciples of Plato, on the
death of their divine master. But we are informed by Numenius[50]
the Pythagorean that Plato’s successors, Speusippus, Zenocrates,
and Polemo, perverted his dogmata, and almost entirely changed the
whole of his philosophy. And Aristotle, it is well known, however
he might retain some essential doctrines of his master, altered
others of the highest importance; and confining himself chiefly to
natural disquisitions, ascended but rarely and feebly to theological
contemplations. However it was not irrecoverably lost; and it
disappeared for a time, only to shine with brighter splendors on its
return. Truth, like the light of the sun, may suffer concealment,
but cannot be destroyed; for it would rather have its rays broken by
resistance than bound to obscurity. About two hundred and fifty two
years, therefore, after the Christian religion had made its appearance,
this sublime theology was restored by one Ammonius Saccas an
Alexandrian. This extraordinary person, was, it seems, at first nothing
more than a porter: though by what methods he rose from this servile
employment to the summit of philosophy, and what happy circumstances
first affected this wonderful change, are enquiries which can never
be answered, but whose loss will always be regretted by the liberal
few. But though he was not Διογενεῖς, nobly born, his doctrines, as
transmitted to us by his disciples, eminently evince his possessing
in high perfection all the other endowments of a true philosopher:
such as a penetrating genius, a docile sagacity, a tenacious memory,
and every other ornament of the soul, requisite, according to Plato,
to form the philosophic character. Indeed he must have possessed
these qualifications in a most remarkable degree; or he could never
have emerged from the obscurity and servility of a porter, to the
splendor and liberty of an exalted and divine philosopher. The truth
of this observation is confirmed by the appellation of θεοδίδακτος, or
_divinely-taught_, which was unanimously conferred on him, by his
contemporary philosophers.
This great man opened a philosophical school at Alexandria, but with a
determination not to commit the more abstruse and theological dogmata
of his philosophy to writing. Indeed he was so fearful of profaning
these sublime mysteries, by exposing them to vulgar inspection, that he
revealed them to his disciples Erennius, Origen, and Plotinus, on the
conditions of inviolable secrecy, and under the guard of irrevocable
oaths. However, fortunately for posterity, Erennius dissolved the
compact, and Origen (different from the Christian father of that
name), imitating Erennius, disclosed a part of his master’s secrets,
in a curious treatise on dæmons, which, among many other valuable
productions, is lost in the ruins of time. But the publications of
these two great men were but trifling efforts to unveil the mystic
wisdom of antiquity: since a perfect revelation was reserved for the
divine genius of Plotinus, who considering himself now freed from
his engagements, by the examples of his fellow disciples, resolved
to bring theology from her dark concealments and to present her to
the astonished world, in all the celestial graces and irresistible
majesty of her natural appearance. This wonderful man (if he was not
something more, since his writings discover a genius superior to the
human), who was born to astonish and enlighten mankind, was the first
who committed to writing the secrets of theology, free from the obscure
enigmas in which she had been enveloped by the sages of antiquity. The
celestial vigor and profundity of his genius, render his conceptions
indeed, unavoidably abstruse: but he who has once fathomed his depth,
will find himself amply compensated for the labour of investigation,
by the rewards of uncommon knowledge and inexpressible delight. There
is a long and curious life of this high priest of theology, and dæmon
of wisdom, extant by his disciple Porphyry, the substance of which, as
it will not I presume be unacceptable to the reader, and as it will
throw great light on the history of theology, I have selected from that
invaluable work.
Plotinus, was an Egyptian by birth, and was a native of Lycopolis,
as we are informed by Eunapius, for Porphyry is wholly silent as to
this particular. Indeed this is not wonderful, if we consider what
Porphyry asserts in the beginning of his life, _that he was ashamed,
that his soul was in body_. Hence says he, he would neither tell the
race, nor the parents from which he originated, nor would he patiently
relate in what country he was born. This I know will be considered by
a genuine modern, as either rank enthusiasm, or gross affectation; but
he who has perused and fathomed his writings will immediately subscribe
to its truth. The same vehement love for intellectual pursuits, and
contempt for body, made him disdain to sit for his picture; so that
when one of his disciples Amelius, begged that he would permit his
likeness to be represented, his answer expressed the true greatness of
his mind: as if (says he) it was not sufficient to bear this image,
with which nature has surrounded us from the first, you think that a
more lasting image of this image should be left as a work worthy to be
inspected. However the desire of Amelius was at length accomplished,
by the ingenious contrivance of one Carterius a painter, who by
frequenting the school of Plotinus, and viewing his countenance with
fixed attention, produced at length from his memory a happy likeness
of the philosopher. Though he was often afflicted with the colic, he
always refused the assistance of clysters, asserting that cures of
this kind were not proper to a man advanced in years. Nor would he
ever receive the assistance of theriacal antidotes, since he said, his
nourishment was not derived from the bodies of even tamer animals. He
likewise abstained from baths: but daily used frictions at home. But
when a grievous pestilence raged[51] at Rome, and the servants who were
accustomed to rub him, fell victims to the disease, from neglecting
cures of this kind, he gradually became a prey to the pestilence. So
great was the violence of this distemper, and its effects so dreadful
on Plotinus, as Eustochius informed Porphyry who was absent, that
through a very great hoarseness, all the clear, and sonorous vigour of
his musical voice was lost; and what was still worse, his eyes were
darkened, and his hands and feet were covered with ulcers. Hence,
becoming incapable of receiving the salutations of his friends, he
left the city; and went to Campania, to the estate of one Zethus, an
ancient departed friend. Necessaries were here administered to him from
the hereditary possessions of Zethus, and were likewise brought from
Minturnus, from the fields of Castricius[52]. But when this divine man
drew near to his dissolution, that period which is no less the dread
of the vulgar than the transport of the philosopher, and which to
Plotinus must be the moment of extatic rapture, Eustochius who dwelt at
Puteolus, was not very hasty in his approaches; doubtless not imagining
he was on the point of making his triumphant exit from a corporeal
life. However when he came into the presence of this departing hero, he
was just in time to receive his dying words, and to preserve the sacred
sentence to posterity. Listen ye profane with reverence, and treasure
in your memories ye wise, the weighty truth it contains! _As yet_
(says he) _I have expected you; and now I consent that my divine
part, may return to that divine nature, which flourishes throughout the
universe_. Such were the last words of this mighty man, which like
those contained in his writings are great and uncommon, wonderful and
sublime. He died at the conclusion of the second year of the emperor
Claudius’ reign; and was at the time of his death in the sixty-sixth
year of his age, according to the information given by Eustochius
to Porphyry. The most trifling particulars relative to the life and
death of so extraordinary a man merit our attention; and indeed we may
presume without being guilty of either superstition or enthusiasm,
that scarcely any thing trifling could mark the existence of such a
powerful and celestial genius. There is nothing, properly speaking,
can be little which has any relation to a character truly great: for
such is the power of uncommon genius, that it confers consequence on
every thing within the sphere of its attraction, and renders every
surrounding circumstance significant and important. Thus immediately on
the death of Plotinus, we are informed by Porphyry that a dragon[53]
which had been concealed under his bed, wandered through a hole in
the wall, and disappeared. But how great must the grief of Porphyry
have been, to be separated from his beloved master, at the time of
his death: from a master by whom he had been esteemed beyond the rest
of his fellow-disciples; and whose loss no succeeding period was ever
likely to repair. Indeed his disciples seem to have been unaccountably
dispersed, at this important crisis: for Porphyry was at Lilybæum,
Amelius at Apamea in Syria, Castricius at Rome, and Eustochius was
alone present at his departure. Porphyry afterwards informs us, in
perfect agreement with the genius of Plotinus, that he never would tell
to any one, the month, or day in which he was born: because he by no
means thought it proper that his nativity should be celebrated with
sacrifices and banquets. Indeed we cannot suppose that he who had such
a vehement contempt for a corporeal life, would be anxious that his
entrance into mortality should be solemnized with festivity; but rather
considering himself with Empedocles, as
“Heaven’s exile straying from the orb of light,”
he would be disposed to lament his captivity, and mourn the degradation
of his nature. However he was not averse to celebrate the nativities of
Socrates and Plato; for he assisted at the sacred rites, and invited
his friends to a philosophic banquet, where it was required that every
guest should recite a written oration, adapted to the occasion of their
amicable association.
But the few particulars which this great man condescended to relate of
himself, in familiar discourse, are the following: When he was eight
years of age, and was even under the tuition of a literary preceptor,
he used to frequent his nurse, and to uncover her breasts, through an
avidity of sucking her milk. And this custom he continued, till being
accused of troublesomness, and covered with shame through the reproof,
he neglected this extraordinary custom. This story however trifling it
may appear, indicates in my opinion the native innocence, and genuine
simplicity of manners which marked the character of Plotinus. It is
a circumstance, which does not merely point to something uncommon;
but it was the harbinger as it were of that purity and sanctity of
life, which so eminently formed the conduct, and adorned the writings
of our philosopher. But when he was in the twenty-eighth year of his
age, being vehemently inflamed with the love of philosophy, he was
recommended to the most excellent masters of Alexandria: but he left
their schools with sorrow and disappointment. By a fortunate event,
however, he told a certain friend, who was well acquainted with the
disposition of his mind, the cause of his affliction, and he brought
him to the celebrated Ammonius, whose school Plotinus had probably
overlooked among the great multitude with which that illustrious city
abounded. But when he had entered the school of Ammonius, and had heard
him philosophize, he exclaimed in transport to his friend, _this is
the man I have been seeking_. From that day he gave himself up to
Ammonius with sedulous attention for eleven years; and made such rapid
advances in his philosophy, that he determined to study the philosophy
of the Persians, and the wisdom particularly cultivated by the Indian
sages. For this exalted purpose, when the emperor Gordian marched into
Persia, in order to war upon that nation, Plotinus joined himself to
the army, being at that time in the nine and thirtieth year of his
age. But after Gordian was destroyed about Mesopotamia, Plotinus fled
to Antioch, where he received a fortunate shelter from the dangers and
devastations of war; and in the reign of the emperor Philip came to
Rome, in the fortieth year of his age. It seems therefore that Plotinus
was disappointed in his purpose at that time of procuring the Persian
and Indian wisdom: it is however certain that he afterwards obtained
his desire; and most probably without the inconvenience of a long and
dangerous journey. This will be evident from perusing his works; and
attending to the latent dogmata they contain.
It was a long time before Plotinus committed his thoughts to writing;
and gave the world a copy of his inimitable mind. That light which was
shortly to illuminate mankind, as yet shone with solitary splendour;
or at best beamed only on a beloved few. It was now destined to emerge
from its awful sanctuary, and to display its radiance with unbounded
diffusion. But a disciple like Porphyry, was requisite to the full
perfection of its appearance. Amelius was indeed laborious, but he
was at the same time verbose: he neither appears to have possessed
the inquisitive spirit, nor the elegant genius of Porphyry; and his
commentaries were too voluminous to be exquisitely good. Porphyry
gives a singular specimen of his endurance of labour, when he informs
us, that he committed to writing almost all the dogmata of Numenius,
and retained a very considerable part in his memory. He was not
however, though an excellent philosopher, calculated to urge Plotinus
to write, or to assist him in its prosecution: but this important
task was reserved for Porphyry, who in the words of Eunapius, “like a
mercurial chain, let down for the benefit of mortals, by the assistance
of universal erudition, explained every thing with clearness and
precision.” Plotinus indeed began to write in the first year of the
emperor Galienus; and he continued just to note such questions as
occurred to him, for the ten following years, in the last of which he
became acquainted with Porphyry, who was at that time in the thirtieth
year of his age. He had then composed one and twenty books, which
were in the hands but of a few: for the edition was difficult to be
procured, and was not universally known. Besides Plotinus, was neither
hasty nor rash in his publications: but he gave those only to the
light, which had been approved, by a mature and deliberate, judgment.
The one and twenty books we have previously mentioned, after various
inscriptions, at length obtained the following titles:
On the beautiful.
On the immortality of the soul.
On fate.
On the essence of the soul.
On intellect, and ideas, and being.
On the descent of the soul into body.
How that which is posterior to the first, proceeds from the first;
and concerning _the one_.
Whether all souls are one.
Concerning the good itself, or _the one_.
On the three principal hypostases.
On the generation and order of things posterior to the first.
On the two matters, intelligible and sensible.
Various considerations.
On the circular motion of the heavens.
On every one’s peculiar Dæmon.
On the rational exit, from the present life.
On quality.
Whether there are ideas of particulars.
On virtues.
On dialectic.
How the soul is said to be a medium between an impartible and
partible essence.
These one and twenty books were finished when Porphyry first became
acquainted with Plotinus; and when this great man was fifty-nine years
old. During the six years in which Porphyry was his companion as well
as disciple, many questions of a very abstruse nature, were discussed
in their philosophical conversations, which at the joint request of
Porphyry and Amelius, Plotinus committed to writing, and produced from
their investigation, two elaborate and admirable books, proving _that
true being is totally present in every part of the universe_. He wrote
besides two others; one of which asserts, _that the nature superior to
being, is without intellection_; and the other _distinguishes primary
from secondary intelligence_. He likewise composed at the same period,
the following books:
Concerning that which exists in capacity, and energy.
[54]That incorporeal natures are free from passivity.
Two books concerning the soul.
A third concerning the soul, or the manner in which we see.
On contemplation.
On intelligible beauty.
That intelligibles are not external to intellect; and concerning
intellect, and the good.
Against the Gnostics.
On numbers.
Why things seen at a distance appear small.
Whether felicity consists in length of time.
Concerning total mixture.
How the multitude of ideas subsists, and concerning the good.
On that which is voluntary.
On the world.
On sense and memory.
Three books on the genera of beings.
On eternity and time.
But while Porphyry resided in Sicily, Plotinus composed the five
following books, which he sent to him for his revision:
On felicity.
Two books on providence.
On gnostic essences, and that which is superior to their nature.
On love.
These books were transmitted to Porphyry in the first year of the
emperor Claudius’ reign. And about the beginning of the second year, a
little before his death, he sent him the following, and the last:
An enquiry into evil.
Whether the stars operate on sublunary natures.
What the nature is of man, and animal.
On the first good, and other goods.
The whole amount therefore of the books written by Plotinus,
connecting the preceding with the present, is fifty-four, which
Porphyry has divided into six enneads, assigning agreeable to the
meaning of the word, nine books to every ennead. But they bear evident
marks (says Porphyry) of the different periods, at which they were
composed. For the first one and twenty, which were written in the
former part of his life, if compared with the next in order seem to
possess an inferior power, and to be deficient in strength. But those
composed in the middle of his life exhibit the vigour of power, and
the summit of perfection. And such with a few exceptions are the four
and twenty we have already enumerated. But the last nine, composed
in the decline of life, carry the marks of remitted energy, and
drooping vigor. And this the four last declare, more evidently than
the preceding five. It must however be observed that this difference
is only visible, when they are contrasted with one another. To an
impartial observer, zealous of truth, and not deeply read in Plotinus,
each of his books will appear to be what it really is, uncommonly
profound, and inimitably sublime. Each is an oracle of wisdom, and a
treasury of invaluable knowledge; and the gradations of excellence
consist in the power of composition, and not in the matter from which
they are composed.
Plotinus had many auditors, and likewise a multitude of zealous
partizans, and philosophic familiars. This indeed must necessarily be
the case, if we consider the reputation of philosophy at that golden
period, and the extraordinary abilities and celestial genius of its
godlike restorer. Among the latter of these, Amelius the Tuscan, and
Paulinus the Scythopolitan, a physician, held a distinguished rank. To
which may be added Eustochius of Alexandria, a physician, who enjoyed
the familiarity of Plotinus to the last, was present at his death,
and giving himself entirely to the institutes of Plotinus, assumed
the habit of a genuine philosopher. Besides these, Zothicus, a critic
and poet, was conversant with Plotinus, who amended the works of
Antimachus, and rendered the Atlantic history very poetically in verse:
but after this he became blind, and died a short space of time prior
to Plotinus. Zethus too, was very familiar with our philosopher, who
derived his origin from Arabia, and married the wife of one Theodosius,
the familiar of Ammonius. He was deeply skilled in medicine, and
very much beloved by Plotinus, who endeavoured to dissuade him from
engaging in the administration of public affairs. Such indeed was his
familiarity with our philosopher, that, as we have already observed,
Plotinus spent the last hours of his life at his rural retreat.
Porphyry likewise informs us, that not a few senators were the sedulous
auditors of Plotinus. Philosophy indeed, as it is the most noble and
liberal of all pursuits, ought never to be separated from noble birth
and exalted rank. It is naturally allied with every thing great, and
is calculated to confer dignity, even on greatness itself. It exalts
the majesty of the monarch, stamps nobility with true grandeur, and
raises the plebean to immortality. In the age of philosophy, therefore,
we cannot wonder that she was reverenced by the senators of Rome. That
illustrious body, even at this declining period, retained a portion of
its ancient independence; and the generous ardor of unbounded liberty
was not yet extinguished by the frozen hand of despotic usurpation.
The Roman manners and _religion_ were not yet destroyed; and nobility
was not contaminated by the sordid occupations of traffic. _Meekness_
was not esteemed a _virtue_, nor _merchandize_ an _honour_!!! Among
this illustrious body of men, Marcellus Orontius diligently applied
himself to philosophy, and made rapid advances in its attainment. This
too, was the case with Sabinillus, and above all with the senator
Rogatianus[55]. So deeply enamoured was this last nobleman with the
charms of wisdom, and the discourses of Plotinus, and so attentive
to the care of separating his soul from his corporeal life, that he
neglected his wealth, and secular affairs, dismissed his servants, and
rejected the dignities of the state. Hence, when he was chosen prætor,
and the lictors waited for his appearance, he neither came into public,
nor regarded the duties of his office, nor dwelt in the house allotted
for his reception: but he supped and slept with certain of his friends
and familiars, and gave himself to absolute retirement in the day. By
this negligence and carelessness of life (says Porphyry), from being so
vehemently afflicted with the gout, that he was obliged to be carried
in a chair, he resumed his pristine strength and vigour. And from being
so diseased in his hands, that he could not extend them when necessary,
he so recovered their use by philosophic endurance, as to employ them
with greater expedition than the manual mechanic. This great man, as we
may suppose, possessed the principal place in the esteem of Plotinus,
who was not sparing in his praise of so uncommon a character, and
proposed him as an illustrious example to the pupils of philosophy.
Happy Rogatianus! who could relinquish power for knowledge, and prefer
the perpetual inheritance of wisdom to the gaudy splendors of title,
and the fleeting honours of command. Alexandrinus Serapion too, was one
of his associates, who was once a rhetorician, but afterwards, gave
himself to philosophical disputations; though, shameful to relate,
he was at the same time a slave to usury, and avarice. Besides all
these (says Porphyry), he reckoned me a native of Tyre, among his most
friendly adherents, whom he appointed to correct his writings.
The following particulars relative to composition are related by
Porphyry of this extraordinary man. He could by no means endure to
review twice what he had written, nor even to read his composition,
through the badness of his sight. But while he was writing, he neither
formed the letters with accuracy, nor exactly distinguished the
syllables, nor bestowed any diligent attention on the orthography:
but neglecting all these as trifles, he was alone intent to the
intelligence of his wonderful mind; and, to the admiration of all
his disciples, persevered in this custom to the end of his life. To
a man of mere words, Plotinus will doubtless appear inexcusable for
such _important_ omissions: but to the sublime and contemplative
genius, his negligence will be considered as the result of vehement
conception, and profound cogitation. Such, indeed, was the power of his
intellect, that when he had once conceived the whole disposition of his
thoughts from the beginning to the end, and had afterwards committed
them to writing, his composition was so connected, that he appeared to
be merely transcribing from a book. Hence he would discuss his domestic
affairs without departing from the actual intention of his mind; and
at the same time transact the necessary negociations of friendship,
and preserve a perpetual intelligence of his thoughts. In consequence
of this uncommon power of intellection, when he returned to writing,
after the departure of the person with whom he had been conversing,
he did not review what he had written, owing, as we have observed,
to the defect of his sight; and yet he so connected the preceding
with the subsequent conceptions, as if his composition had never been
interrupted. Hence he was, at the same time present with others, and
with himself, so that, as Porphyry observes, the self-converted energy
of his intellect was never remitted, except perhaps in sleep, which
he very moderately indulged. And so vigorous and frequent was the
conversion of his soul to intellect, that he would often abstain from
bread, swallowed up, as it were, in the depths of contemplation.
Several women too, enamoured with the love of wisdom, were the
auditors of Plotinus. The Platonic philosophy, indeed, as it
necessarily combines truth with elegance, is naturally adapted to
captivate and allure the female mind, in which the love of symmetry
and gracefulness is generally pre-dominant. Hence, in every age,
except the present, many illustrious females have adorned the Platonic
schools, by the brilliancy of their genius, and as uncommon vigour and
profundity of thought. This too, would doubtless be the case in our
own country, if all the works of Plato and his disciples were but once
faithfully and elegantly translated into English: but till the obstacle
of Greek is removed, we may in vain expect thinking females[56], and
I had almost said Platonic philosophers among men. Porphyry adds,
that many men and women of noble birth, when at the point of death,
delivered up, and commended their children and all their substance
to Plotinus as to a sacred and divine guardian. Hence, says he, you
might see the house of Plotinus full, both of young men and virgins,
among the number of which was one Potamon, whom he educated with
diligence and care. Nor was he wearied in hearing the procurators of
his pupils, often rendering an account of their administration; nor
did he disdain to pay attention to their expences, affirming, that as
they did not yet philosophize, they ought to possess their own goods,
and to receive, without detriment, an increase of their estate. Yet
though he procured for so many pupils the chief necessaries of life,
the intellectual energy of his soul while he was awake, never suffered
any interruption from externals, nor any remission of vigour. He was
extremely mild, though not _meek_[57], in his manners, and was easy
of access to all his adherents and friends. Hence, so great was his
philosophic urbanity, that though he resided at Rome twenty-six years,
and had been the arbiter of many litigious causes, which he amicably
dissolved, yet he had no enemy throughout that great and illustrious
city. This last circumstance, indeed, reflects the highest honour on
the philosophic character of Plotinus; but, at the same time, some
merit is due to the age in which he fortunately lived. Had he been
destined to make his appearance in the present times, unsupported by
fortune, and with no other recommendation than an uncommon greatness
of mind, and an unequalled depth of thought; from being despised,
insulted, and distressed, he must surely have been indignant, though
not morose, and severe though not agitated with wrath. He would have
been scornful without pride, contemptuous without weakness, patient
without servility, and solitary without affectation. He would have
lived without notice, wrote with success, and died without regret. But
born to a happier fate, his genius was not doomed to languish in the
shades of obscurity, but attained to the blossom of perfection in the
sun-shine of philosophy, and through the liberal pains of Grecian and
Roman cultivation.
But though Plotinus was thus universally esteemed at Rome, and in
general by all who had the happiness of his acquaintance, yet he
had one vehement enemy in the person of Alexandrinus Olympius, who
had been for a short time the disciple of Ammonius, who desired to
arrogate to himself the chief place in philosophy, and endeavoured to
render Plotinus the object of general contempt. So deadly, indeed,
was his hatred of our philosopher, that he attempted to invade him,
by drawing down the baneful influences of the stars. The attempt
was, however, vain, and its effects noxious to their author. For the
sidereal defluctions, instead of being hurtful to Plotinus, were
reflected on Olympius. Hence he exclaimed to his companions, “that the
soul of Plotinus possessed such a mighty power, that it immediately
repelled malignant influences directed upon his person, on the
authors of the evil.” But Plotinus, when Olympius first machinated
his sidereal inchantments, was conscious of his design, and said to
his friends; “Now the body of Olympius is contracted like a purse,
and all his members are bruised together.” After Olympius, therefore,
had often found to his own detriment, that the baneful influences
intended for Plotinus were repelled on himself, he desisted from such
base and fruitless undertakings. Indeed, says Porphyry, Plotinus
naturally possessed something greater than the rest of mankind, which
the following extraordinary relation abundantly evinces. A certain
Egyptian priest, who at that time visited Rome, and who became suddenly
known to Plotinus by one of his friends (perhaps Porphyry himself),
desirous to exhibit his wisdom in that illustrious city, persuaded
our philosopher to attend him, for the purpose of beholding, through
his invocations, his familiar dæmon; to which request he readily
consented. But the invocation was performed in the temple of Isis;
this being the only pure place in Rome the Egyptian priest was able to
find. However, instead of a dæmon, as was expected, a god approached,
who was not (says Porphyry) in the genus of dæmons. The Egyptian
astonished at the unexpected event, exclaimed, “Happy Plotinus, who
hast a god for a dæmon, and whose familiar attendant does not rank
among the inferior-kind!” But this extraordinary and delightful
vision was of short duration: for the priest affirmed it was not then
lawful to interrogate any thing, nor any longer to enjoy the vision,
because a certain common contemplative friend, who was present at the
spectacle, suffocated some birds which he held in his hands for the
sake of safety, either impelled by envy, or terrified with fear. As
Plotinus, therefore, was allotted a dæmon belonging to the diviner
orders, the divine eye of his soul was perpetually elevated to this
guardian deity. On this account he composed a book _concerning every
man’s familiar dæmon_, in which he diligently endeavours to assign the
causes of the diversity subsisting among these attendants on mankind.
As a still farther proof of his uncommon greatness of mind, Porphyry
adds, that when Amelius who was an observer of sacred rites, in which
he officiated, according to the Roman calends, once requested Plotinus
to attend him in the discharge of these religious ceremonies, he
replied, “It becomes them to approach to me, and not me to them.” But
from what conceptions (says Porphyry), he spoke in such an exalted
manner of himself, we were unable to conceive, and afraid to ask. We
may, however, presume, that Plotinus meant to insinuate the high degree
of purity and perfection of his intellectual part, which rendered him
so superior to the use of corporeal sacrifices, and the cultivation of
material deities, and dæmons, that he ought rather to be propitiated by
others, than to propitiate himself. For a soul like his, was, indeed,
to use his own expression, ὕϛερος θεὸς, _a posterior god_, ready winged
for flight, and scarcely detained by the fetters of body. This I know
will pass for great arrogance and presumption among the philosophers
of the present day, who consider _meekness_ and _humility_ as the
highest ornaments of their nature, and the truest characteristics of
genuine worth. But surely a sublime and godlike soul can never think
_meanly_ of its nature, or be willing to suppress and extinguish the
inevitable consciousness of its own dignity and elevation. Humiliating
conceptions flourish no where but in the breasts of the servile, or
the base; and are the ornaments of no characters, but those of the
impotent and the mean. Their influence is baneful to the advancement
of science, and destructive of all genuine excellence and worth. They
damp the glowing ardour of true theology, curb the celestial flight
of philosophy, and blast the vigourous blossoms of genius. Let it,
however, be remembered, that while we banish meekness, we are by no
means the advocates of arrogance and conceit; but are alone desirous of
vindicating the proper dignity of the worthy soul, and of rescuing its
generous and ardent confidence from the frigid embraces of humiliating
opinion. It is one thing to be _modest_, and another to be _meek_:
for the former is the shadow attendant on genius, inseparable from
its progress, and the symbol of its reality; but the latter is the
dæmon of traffic, the inspirer of its projects, the support of its
credit, and the harbinger of its appearance. It flies from the face
of genius like the shadows of night before the beams of the morning,
and, terrified at the approach of the elevated mind, hides itself in
the dark retreats of trembling pusillanimity. But to return from this
digression: Plotinus appears to have possessed an unequalled skill
in physiognomy, as the following circumstance eminently evinces. A
lady, named Chion, who, together with her daughters resided in his
house, and there happily passed a chaste widowhood, was fraudulently
deprived of a very valuable necklace. In consequence of this, all the
servants and domestics were summoned into the presence of Plotinus,
who regarded their several countenances, selected one, and accused him
of the theft. The man was immediately chastised, and for a long time
denied the fact, but at length confessed his guilt, and restored the
necklace. In a similar manner (says Porphyry) he wonderfully predicted
the destiny of the young men of his acquaintance; as of one Polemo, he
foretold, that he would be very much addicted to love, and not arrive
to the maturity of his age, which happened according to his prediction.
But the last instance of his sagacity, related by Porphyry, excels all
the rest, both in the singular skill displayed in its execution, and
the happy consequences it produced. Porphyry, as we are informed by
Eunapius, in his life, on his first acquaintance with Plotinus, bade
a final farewel to all his preceptors, and totally applied himself to
the friendship and confidence of this wonderful man. Here he filled
his mind with science, and drew abundantly, without satiety, from the
perennial fountain, seated in the sanctuary of the soul of Plotinus.
But afterwards being conquered, as it were, by the magnitude of his
doctrines, he conceived a hatred of body, and human nature, and could
no longer endure the fetters of mortality. “Hence (says Porphyry) I
formed an intention of destroying myself, which Plotinus wonderfully
perceived, and as I was walking home, stood before me, and said, _Your
present design, O Porphyry, is not the dictate of a sound intellect_,
_but rather of a soul raging with an atrabilious fury_. In consequence
of this, he ordered me to depart from Rome, and accordingly I went into
Sicily, particularly when I heard that a certain worthy and elegant
man dwelt at that time about Lilybæum. And by this means, indeed, I
was liberated from this perturbation of soul, but was in the mean time
hindered from being with Plotinus till his death.”
But the great reputation of this divine man was not confined to the
senate and people of Rome, for the emperor Galienus, and his wife
Salonina, honoured his person, and reverenced his doctrine. Indeed,
so highly was he esteemed by the emperor, that, relying on his
benevolence, he requested that a city in Campania, which had been
formerly destroyed, might be restored, and rendered a fit habitation
for philosophers; and besides this, that it might be governed by the
laws of Plato, and called Platonopolis. Had this design succeeded,
Plotinus intended to have dwelt there with all his disciples, and
to have realized the beautiful republic, conceived by the godlike
genius of Plato. The emperor, indeed, assented to his wishes, and the
philosopher would have easily accomplished his intentions, if some of
the emperor’s familiars, impelled by envy or indignation, or some other
injust and selfish cause, had not warmly opposed its execution.
This extraordinary man (as we are informed by Porphyry) was strenuous
in discourse, sagacious in invention, and prompt in the most opportune
perceptions: but he was frequently incorrect in his speech, as well
as in writing; and this most probably owing to the vehemence and
vigour of his conceptions. Besides this, while he was engaged in
discourse, his intellect beamed through his corporeal frame, and
diffused over his countenance its intimate light. He was, indeed, of a
most beautiful aspect, but when he disputed (says Porphyry) he seemed
far more lovely to the view. Then a placid gentleness appeared in
receiving questions; and a vigour uncommonly robust was demonstrated
in their dissolution. When Porphyry once had interrogated him for
three days, _by what means principally the soul was united with the
body_, he persevered in demonstrating the manner of its conjunction.
And when a certain person, named Thaumasius, entered his school, for
the purpose of discussing common questions in philosophy, and premised
that he wished to hear the explanatory sentences of Plotinus, but that
the questions and answers of Porphyry were by no means adapted to a
disputation of this kind, Plotinus replied: _unless we dissolve the
doubts arising from the interrogations of Porphyry, we shall not be
able to comment any thing, in an uninterrupted series of discourse_.
But he wrote with a most intense acuteness of thought, and an abundant
intellect. His writings are remarkably sententious, and he abounds,
every where, more with profundity of sense than copiousness of words.
“He poured forth (says Porphyry) many things agitated by the impulse
of inspiring deity; and was often wonderfully affected with the
object of his investigation.” With me indeed every page of his works
is a _volume_, and every sentence an _oracle_. The latent dogmata of
the Stoics, and Peripatetics, are inserted in his books; and more
particularly the Sentences of Aristotle posterior to his Physics. He
was ignorant of nothing pertaining to geometry, arithmetic, optics,
and music, though he had never reduced these sciences to practice. The
commentaries of the Platonic philosophers, Cronius, Numenius, Gaius,
Atticus; as also of the Peripatetics, Aspasius, Alexander, Adrastus,
&c. were read in his schools: but nothing was repeated from these in
an uninterrupted series. For his conceptions were entirely his own;
and his contemplations were different from theirs. In interpretation,
and the discussion of questions, he bore the intellect of Ammonius.
As soon as he was sufficiently imbued with reading, and had given, in
a short discourse, sentences full of profound contemplation he arose,
and left the school. Having once read the book of Longinus concerning
principles, he said, _that Longinus was indeed a philologist, but by
no means a philosopher_; and this indeed, as it appears to me, by a
necessary consequence: for the knowledge of _words_ is entirely foreign
from the study of _things_. When Origen (not the Christian father
of that name) once came into his school, Plotinus whose cheeks were
covered with blushes, wished to rise, and being sollicited by Origen
to continue his discourse, he replied “that discourse ought to cease,
when he who speaks perceives he addresses himself to those who are well
acquainted with his doctrine.” And thus after a short dissertation he
arose from thence.
When in the celebration of Plato’s nativity, Porphyry recited a poem
_on the sacred marriage_[58], and a certain person who was present
objected that Porphyry was mad, because many things were said in
the poem mystically, and inspired by a divine fury, Plotinus openly
exclaimed, “You have shewn yourself at the same time both a philosopher
and a priest.” On a certain time too an orator, named Diophanes, read
an apology for the intoxicated Alcibiades in the banquet of Plato,
endeavouring to prove that it was proper for the sake of learning
virtue that the lover should expose himself to the object of his
attachment, and not even refuse venereal congress. But while he was
reading this licentious defence, Plotinus often rose from his seat,
as if he would suddenly leave the assembly: but he restrained himself
till it was finished. However, when he left the company, he commanded
Porphyry to confute the oration. But when Porphyry desired the
orator to lend him his discourse, for this purpose, and was refused,
he answered him from recollection, and delivered his answer in the
presence of the same auditors as had attended Diophanes. On this
occasion Plotinus was so much rejoiced, that he often repeated in the
assembly
“Thus write, and you’ll illuminate mankind[59].”
Our philosopher too, applied himself to the rules of astronomy, though
(says Porphyry) not according to a very mathematical mode. That is, as
we may presume, he very little regarded the calculation of eclipses,
or measuring the distance of the sun and moon from the earth, or
determining the magnitudes and velocities of the planets: for he
doubtless considered employments of this kind as more the province of
the mathematician than of the profound and intellectual philosopher.
The mathematical sciences are indeed the proper _means_ of acquiring
wisdom, but they ought never to be considered as its _end_. They are
the bridge as it were between sense and intellect, by which we may
safely pass through the night of oblivion over the dark and stormy
ocean of matter, to the lucid regions of the intelligible world: and
he who is desirous of returning to his true country will speedily pass
over this bridge, without making any needless delays in his passage.
Plotinus also diligently applied himself to the judgments of the
astrologers; but when he found that their predictions were not worthy
of belief, he often confuted their presages in his writings.
At that time there were many Christians, and likewise some heathens,
who forsaking the ancient philosophers, became the followers of
Adelphius and Aquilinus. These men circulated a variety of books
of Alexander, Libycus, Philocomus, Demostratus, Lydus; and openly
exhibited certain revelations of Zoroaster, Zostrianus, Nicotheus,
Allogenes, Mesus, with others of a similar kind. By this means they
deceived many, and were themselves deceived, asserting that Plato had
by no means penetrated the depth of an intelligible essence. On this
occasion, Plotinus urged many arguments in his disputations against
these impostors, and composed a book in confutation of their tenets,
inscribed, _against the Gnostics_, leaving a farther discussion of
their errors to the labours of his disciples. Hence Amelius composed
forty books against the book of Zostrianus; and Porphyry shewed by
a variety of arguments, that the writings which they attributed to
Zoroaster, were adulterated and recent, and were composed by the
propagators of the heresy, that their institutions might pass for the
genuine doctrines of the ancient Zoroaster.
Many of the Greeks (says Porphyry) falsly accused Plotinus of
privately usurping the doctrines of Numenius, which calumny Tryphon,
a Stoic and Platonist, told to Amelius. On this occasion Amelius
composed a book, inscribed by Porphyry; _Concerning the difference
between the dogmata of Plotinus and Numenius_, which he dedicated to
Porphyry. Every one of the books, indeed, of this great man bear such
evident marks of original thought, and singular depth, the execution
in each is so similar, and the conceptions so uncommonly abstruse,
that no one can understand his meaning, and believe him indebted to
the labours of others. Porphyry adds, that he was likewise considered
by many as a mere trifler, and treated with contempt, because says he
they could by no means comprehend his sayings. Besides the manners of
Plotinus contributed to produce and increase this disdain, for he was
foreign (says Porphyry) from all sophistical ostentation, and pride;
and conducted himself in the company of disputants, with the same
freedom and ease as in his familiar discourses. With the superficial
and the vain, a haughty carriage and severe aspect are considered as
the badges of wisdom: but nothing in reality is more foreign from
its possession. For true wisdom when it is deeply possessed gives
affability and modesty to the manners, illumines the countenance with
a divine serenity, and diffuses over the whole external form an air of
dignity and ease. Add to this, that Plotinus did not hastily disclose
to every one, the syllogistic necessities, which were latent in his
discourse. “The same thing (says Porphyry) happened to me, when I
first heard Plotinus. On which account I endeavoured to provoke him,
by writing against him, endeavouring to shew _that intellections are
not external to intellect_.” But after the writings of Porphyry
on this subject were read to Plotinus, he said, smiling; “It must be
your employment Amelius, to dissolve these doubts, occasioned by his
ignorance of our opinion.” After Amelius, therefore, had composed
no small book against the objections of Porphyry, and Porphyry had
again contradicted his writings, and was once more answered by
Amelius: “At length (says Porphyry) having scarcely after all these
attempts fathomed the depth of Plotinus, I changed my opinion, wrote
a recantation of my error, which I recited in a general assembly,
considered the books of Plotinus ever after as most worthy of belief,
and provoked my master by every possible means to disclose his opinion
in a more particular and copious manner.” This relation is a most
egregious instance of the unequalled profundity, as well as excellence
of Plotinus’s writings: for who will presume to question the merit of
composition, which was at first so difficult to be comprehended, and
afterwards so greatly admired by such a genius as Porphyry? By a genius
equally accurate, elegant and profound, who knew how to combine the
Graces with Philosophy and Science, and to adorn the majestic brows of
truth with the flowers of enchanting elocution.
But the testimony of the celebrated Longinus concerning our
philosopher, sufficiently evinces his uncommon excellence and worth;
and in the present age will probably be more esteemed than the eulogium
of Porphyry. In a letter, therefore, which he wrote to Porphyry
desiring him to come from Sicily into Phœnicia where he resided, and to
bring with him the books of Plotinus, he writes among other things as
follows: “These books (meaning those of Plotinus) are not moderately
faulty, so that I have no means of using them, though I desire above
measure to consider what Plotinus has written concerning the _soul_,
and on _being_.” And again: “Do not send these books but bring them
with you, and not these alone, but any others which may have escaped
the notice of Amelius. _For why should I not enquire, with the greatest
diligence, after the writings of this man, which deserve the highest
honour and veneration?_ This indeed I have always signified to you,
both when present and absent, and when you resided at Tyre, that I
could not understand many of the hypotheses of Plotinus’s books, _but
that I immoderately loved and reverenced the manner of his writing, the
density of his conceptions, and the very philosophic disposition of his
questions. And indeed I judge that the investigators of truth ought
only to compare the books of Plotinus with the most excellent works._”
This testimony of Longinus is the more remarkable, as, prior to this,
he had for a long time despised our philosopher, through the ignorant
aspersions of others. The wonderful genius of Plotinus, was indeed so
concealed under the garb of modesty, that before fame had announced
his worth, it was only visible to a penetrating and sagacious few. But
Longinus (says Porphyry) thought the works of Plotinus which he had
received from Amelius incorrect, through the fault of the transcribers,
because he was unacquainted with his usual elocution: for if any, the
books in the possession of Amelius were correct, because they were
transcribed from the manuscripts of Plotinus. Porphyry has likewise
preserved the preface of a book composed by Longinus, inscribed,
_concerning the end_, and dedicated to Plotinus and Amelius, in the
course of which he thus speaks of our philosopher. “_Plotinus and
Gentilianus Amelius are replete with a copiousness of propositions,
which they studiously discuss, and have seriously chosen the employment
of writing, using a mode of contemplation peculiar, and their own.
And Plotinus indeed, as it seems, has more certainly explained the
Pythagoric and Platonic principles than his predecessors. For the
writings of Numenius, Cronius, Moderatus, and Thrasyllus, are not to be
compared, for accuracy in any part, with the books of Plotinus on the
same subjects._”
If such then is the decision of Longinus concerning the abilities and
writings of this extraordinary man: of Longinus who is celebrated by
one of our first poets, _as inspired by all the Nine_; and whose
literary reputation is universal; what judgment must we form of the
philosophic taste of the present age, when we find that the very name
of Plotinus is known but to a few, and his works scarcely to any? The
inference is obvious: let the reader draw it, and lament. But (says
Porphyry), if it be requisite to employ the testimony of the wise, who
is wiser than a god? Than a god, who truly said of himself:
[60]The number of the sands is known to me,
And the broad measure of the mighty sea.
I know the thoughts within the dumb conceal’d,
And words I hear, by language unreveal’d.
And this is no other than Apollo, who when Amelius enquired, where the
soul of Plotinus had emigrated, answered in divine numbers, as follows:
To strains immortal full of heav’nly fire,
My harp I tune well strung with vocal wire;
Dear to divinity a friend I praise,
Who claims those notes a god alone can raise.
For him a god in verse mellifluous sings,
And beats with golden rod the trembling strings.
Be present Muses and with general voice
And all the powers of harmony rejoice;
Let all the measures of your art be try’d,
In rapt’rous sounds, as when Achilles dy’d:
When Homer’s melody the band inspir’d,
And god like furies every bosom fir’d.
And lo! the sacred choir of Muses join,
And in one general hymn their notes combine.
I Phœbus in the midst to whom belong
The sacred pow’rs of verse, begin the song.
Genius sublime! once bound in mortal ties,
A dæmon now and more than mortals wise;
Freed from those members that with deadly weight
And stormy whirl inchain’d thy soul of late:
O’er lifes rough ocean thou hast gain’d that shore,
Where storms molest, and change impairs no more;
And struggling through its deeps with vig’rous mind,
Pass’d the dark stream, and left base souls behind.
Plac’d where no darkness ever can obscure,
Where nothing enters sensual and impure;
Where shines eternal minds unclouded ray,
And gilds the realms of intellectual day.
Oft merg’d in matter by strong leaps you try’d,
To bound aloft, and cast its folds aside;
To shun the bitter stream of sanguine life,
Its whirls of sorrow, and its storms of strife.
While in the middle of its boist’rous waves,
Thy soul robust, the deeps deaf tumult braves;
Oft beaming from the gods thy piercing sight,
Beheld in paths oblique a heav’nly light:
Whence rapt from sense with energy divine,
Before thy eyes immortal splendors shine;
Whose plenteous rays in darkness most profound,
Thy steps directed and illumin’d round.
Nor was the vision like the dreams of sleep,
But seen while vigilant you brave the deep;
While from your eyes you shake the gloom of night,
The glorious prospects burst upon your sight:
Prospects, beheld but rarely by the wise,
Tho’ men divine, and fav’rites of the skies.
But now set free from the lethargic folds,
By which th’ indignant soul dark matter holds;
The natal bonds deserted, now you soar,
And rank with Dæmon forms a man no more.
In that blest realm where love and friendship reign,
And pleasures ever dwell unmixt with pain;
Where streams ambrosial in immortal course
Irriguous flow, from Deity their source.
No dark’ning clouds those happy skies assail,
And the calm æther knows no stormy gale.
Supremely blest thy lofty soul abides,
Where Minos and his brother judge presides;
Just Æacus, and Plato the divine,
And fair Pythag’ras there exalted shine;
With other souls who form the general choir,
Of love immortal, and of pure desire;
And who one common station are assign’d,
With Genii of the most exalted kind.
Thrice happy thou! who life’s long labours past,
With holy Dæmons dost reside at last:
From body loosen’d, and from cares at rest,
Thy life perpetual, and divine thy feast.
Now ev’ry Muse who for Plotinus sings,
Here cease with me to tune the warbling strings;
For thus my golden harp with art divine,
Has told, Plotinus! endless bliss is thine.