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Concerning the Face which Appears in the Orb Of the Moon (20-24)

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Refs {'start': {'reference': '20', 'human_reference': 'Section 20'}, 'end': {'reference': '24', 'human_reference': 'Section 24'}}
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Well now, he said, which of the proofs came after this? And I replied, That the moon is subject to the same eclipse. Thank you, he said, for reminding me; but now shall I assume that you have been persuaded and do hold the moon to be eclipsed by being caught in the shadow and so

turn straightway to my argument,[*] or do you prefer that I give you a lecture and demonstration in which each of the arguments is enumerated? By heaven, said Theon, do give these gentlemen a lecture. As for me, I want some persuasion as well, since I have only heard it put this way: when the three bodies, earth and sun and moon, get into a straight line, eclipses take place because the earth deprives the moon or the moon, on the other hand, deprives the earth of the sun, the sun being eclipsed when the moon and the moon when the earth takes the middle position of the three, the former of which cases occurs at conjunction and the latter at the middle of the month. [*] Whereupon Lucius said, Those are roughly the main points, though, of what is said on the subject. Add thereto first, if you will, the argument from the shape of the shadow. It is a cone, as is natural when a large fire or light that is spherical circumfuses a smaller but spherical mass.[*] This is the reason why in eclipses of the moon the darkened parts are outlined against the bright in segments that are curved,[*] for whenever two round bodies come into contact the lines by which either intersects the other turn out to be circular since they have everywhere a uniform tendency.[*] Secondly,
I think that you are aware that of the moon the eastward parts are first eclipsed and of the sun the westward parts and that, while the shadow of the earth moves from east to west, the sun and the moon move contrariwise towards the east.[*] This is made visible to sense-perception by the phenomena and needs no very lengthy explanations to be understood, and these phenomena confirm the cause of the eclipse. Since the sun is eclipsed by being overtaken and the moon by encountering that which produces the eclipse, it is reasonable or rather it is necessary that the sun be caught first from behind and the moon from the front, for the obstruction begins from that point which the intercepting body first assails. The sun is assailed from the west by the moon that is striving after him, and she is assailed from the east [by the earths shadow] that is sweeping down as it were in the opposite direction. Thirdly, moreover, consider the matter of the duration and the magnitude of lunar eclipses. If the moon is eclipsed when she is high and far from the earth, she is concealed for a little time; but, if this very thing happens to her when she is low and near the earth, she is strongly curbed and is slow to get out of the shadow, although when she is low her exertions of motion are greatest and when she is high they are least. The reason for the difference lies in the shadow, which being broadest at the base, as cones are, and gradually contracting terminates at the vertex in a sharp and fine tip. Consequently the moon, if she has met the shadow when
she is low, is involved by it in its largest circles[*] and traverses its deep and darkest part; but above as it were in shallow water by reason of the fineness of the shadow she is just grazed and quickly gets clean away.[*] I pass over all that was said besides with particular reference to the phases and variations,[*] for these too, in so far as is possible,[*] admit the cause alleged; and instead I revert to the argument before us[*] which has its basis in the evidence of the senses. We see that from a shadowy place fire glows and shines forth more intensely,[*] whether because the dark air being dense does not admit its effluences and diffusions but confines and concentrates the substance in a single place or because this is an affection of our senses that as hot things appear to be hotter in comparison
with cold and pleasures more intense in comparison with pains so bright things appear conspicuous when compared with dark, their appearance being intensified by contrast to the different impressions.[*] The former explanation seems to be the more plausible, for in sunlight fire of every kind not only loses its brilliance but by giving way becomes ineffective and less keen, the reason being that the heat of the sun disperses and dissipates its potency.[*] If, then, as the Stoics themselves assert,[*] the moon, being a rather turbid star, has a faint and feeble fire of her own, she ought to have none of the things happen to her that now obviously do but the very opposite; she ought to be revealed when she is hidden and hidden whenever she is now revealed, that is hidden all the rest of the time when she is bedimmed by the circumambient ether[*] but shining forth and becoming brilliantly clear at intervals of six months or again at intervals of five when she sinks under the shadow of the earth, since of 465 ecliptic full moons 404 occur in cycles of six months and the rest in cycles of five months.[*] It ought to have been at such intervals of time then that the moon is revealed resplendent in the shadow, whereas in the shadow she is eclipsed and loses her light but regains
it again as soon as she escapes the shadow[*] and is revealed often even by day, which implies that she is anything but a fiery and star-like body.

When Lucius said this, almost while [he was speaking] Pharnaces and Apollonides sprang forth together. Then, Apollonides having yielded, Pharnaces said that this very point above all proves the moon to be a star or fire, since she is not entirely invisible in her eclipses but displays a colour smouldering and grim which is peculiar to her.[*] Apollonides raised an objection concerning the shadow on the ground that scientists always give this name to the region that is without light and the heaven does not admit shadow.[*] This, I said, is the objection of one who speaks captiously to the name rather than like a natural scientist and mathematician to the fact. If one refuses to call the region screened by the earth shadow and insists upon calling it lightless space, nevertheless when the moon gets into it she must [be obscured since she is deprived of the solar light]. Speaking generally too, it is silly, I said, to deny that the shadow of the earth reaches

that point [from which on its part] the shadow of the moon by impinging upon the sight and [extending] to the earth produces an eclipse of the sun. Now I shall turn to you, Pharnaces. That smouldering and glowing colour of the moon which you say is peculiar to her is characteristic of a body that is compact and a solid, for no remnant or trace of flame will remain in tenuous things nor is incandescence possible unless there is a hard body that has been ignited through and through and sustains the ignition.[*] So Homer too has somewhere said:
But when fires bloom had flown and flame had ceased
He smoothed the embers. . .[*]
The reason probably is that what is igneous[*] is not fire but body that has been ignited and subjected to the action of fire, which adheres to a solid and stable mass and continues to occupy itself with it, whereas flames are the kindling and flux of tenuous nourishment or matter which because of its feebleness is swiftly dissolved. Consequently there would be no other proof of the moons earthy and compact nature so manifest as the smouldering colour, if it
really were her own. But it is not so, my dear Pharnaces, for as she is eclipsed she exhibits many changes of colour which scientists have distinguished as follows, delimiting them according to time or hour.[*] If the eclipse occurs between eventide and half after the third hour, she appears terribly black; if at midnight, then she gives off this reddish and fiery colour; from half after the seventh hour a blush arises[*] on her face; and finally, if she is eclipsed when dawn is already near, she takes on a bluish or azure[*] hue, from which especially it is that the poets and Empedocles give her the epithet bright-eyed. [*] Now, when one sees the moon take on so many hues in the shadow, it is a mistake to settle upon the smouldering colour alone, the very one that might especially be called alien to her and rather an admixture or remnant of the light shining round about through the shadow, while the black or earthy
colour should be called her own.[*] Since here on earth places near lakes and rivers open to the sun take on the colour and brilliance of the purple and red awnings that shade them, by reason of the reflections giving off many various effulgences, what wonder if a great flood of shade debouching as it were into a heavenly sea of light, not calm or at rest but undergoing all sorts of combinations and alterations as it is churned about by countless stars, takes from the moon at different times the stain of different hues and presents them to our sight?[*] A star or fire could not in shadow shine out black or glaucous or bluish; but over mountains, plains, and sea flit many kinds of colours from the sun, and blended with the shadows and mists his brilliance[*] induces such tints as brilliance does when blended with a painters pigments. Those of the sea Homer has endeavoured somehow or other to designate, using the terms violet [*] and wine-dark deep [*] and again purple swell [*] and elsewhere glaucous sea [*] and white calm [*]; but he passed over as being an endless multitude the variations of the colours that appear differently at different times about the land. It is likely, however, that the moon has not a single plane surface like the sea but closely resembles in constitution the earth that the ancient Socrates made the subject of a myth,[*]
whether he really was speaking in riddles about this earth or was giving a description of some other.[*] It is in fact not incredible or wonderful that the moon, if she has nothing corrupted or slimy [in] her but garners pure light from heaven and is filled with warmth, which is fire not glowing or raging but moist[*] and harmless and in its natural state, has got open regions of marvellous beauty and mountains flaming bright and has zones of royal purple with gold and silver not scattered in her depths but bursting forth in abundance on the plains or openly visible on the smooth heights.[*] If through the shadow there comes to us a glimpse of these, different at different times because of some variation and difference of the atmosphere, the honourable repute of the moon is surely not impaired nor is her divinity because she is held by men to be a [celestial and] holy earth rather than, as the Stoics say, a fire turbid and dreggish.[*] Fire, to be sure, is given barbaric honours among the Medes and Assyrians, who from fear by way of propitiation worship the maleficent forces rather than the reverend; but to every Greek, of course, the name of earth is dear and honourable, and it is our ancestral tradition to revere her like any other god. As men we are far from thinking that the
moon, because she is a celestial[*] earth, is a body without soul and mind and without share in the firstfruits that it beseems us to offer to the gods, according to custom requiting them for the goods we have received and naturally revering what is better and more honourable in virtue and power. Consequently let us not think it an offence to suppose that she is earth and that for this which appears to be her face, just as our earth has certain great gulfs, so that earth yawns with great depths and clefts which contain water or murky air; the interior of these the light of the sun does not plumb or even touch, but it fails and the reflection which it sends back here is discontinuous. [*]

Here Apollonides broke in. Then by the moon herself, he said, do you people think it possible that any clefts and chasms cast shadows which from the moon reach our sight here; or do you not reckon the consequence, and shall I tell you what it is? Please listen then, though it is not anything unknown to you. The diameter of the moon measures twelve digits in apparent size at her mean distance[*]; and each of the black and shadowy spots appears greater than half a digit and consequently would be greater than one twenty-fourth of her diameter. Well then, if we should suppose that the circumference of the moon is only thirty thousand stades and her diameter ten thousand each of the shadowy spots on her would in accordance with the

assumption measure not less than five hundred stades.[*] Consider now in the first place whether it is possible for the moon to have depths and corrugations so great as to cast such a large shadow; in the second place why, if they are of such great magnitude, we do not see them. Then I said to him with a smile: Congratulations for having discovered such a demonstration. Apollonides. It would enable you to prove that both you and I are taller than the famous sons of Aloeus,[*] not at every time of day to be sure but early in the morning particularly and in late afternoon, if, when the sun makes our shadows enormous. you intend to supply sensation with this lovely reasoning that, if the shadow cast is large, what casts the shadow is immense. I am well aware that neither of us has been in Lemnos; we have both, however,
often heard this line that is on everyones lips:
Athos will veil the Lemnian heifers flank.[*]
The point of this apparently is that the shadow of the mountain, extending not less than seven hundred stades over the sea,[*] falls upon a little bronze heifer; [but it is not necessary, I presume,] that what casts the shadow be [seven hundred stades] high, for the reason that shadows are made many times the size of the objects that cast them by the remoteness of the light from the objects.[*] Come then, observe that, when the moon is at the full and because of the shadows depth exhibits most articulately the appearance of the face, the sun is at his maximum distance from her. The reason is that the remoteness of the light alone and not the magnitude of the irregularities on the surface of the moon has made the shadow large. Besides, even in the case of mountains the dazzling beams of the sun prevent their crags from being discerned in broad daylight, although their depths and hollows and shadowy parts are visible from afar. So it is not at all strange that in the case of the moon too it is not possible to discern accurately the reflection and illumination, whereas the juxtapositions
of the shadowy and brilliant parts by reason of the contrast do not escape our sight.

There is this, however, I said, which seems to be a stronger objection to the alleged reflection from the moon. It happens that those who have placed themselves in the path of reflected rays see not only the object illuminated but also what illuminates it. For example, if when a ray of light rebounds from water to a wall the eye is situated in the place that is itself illuminated by the reflection, the eye discerns all three things, the reflected ray and the water that causes the reflection and the sun itself,[*] the source of the light which has been reflected by impinging upon the water. On the basis of these admitted and apparent facts those who maintain that the moon illuminates the earth with reflected light are bidden (by their adversaries)[*] to point out in the moon at night an appearance of the sun such as there is in water by day whenever there is a reflection of the sun from it. Since there is no such appearance, (these adversaries) think that the illumination comes about in another way and not by reflection and that, if there is not reflection, neither is the moon an earth. What response must be made to them then? said Apollonides, for the characteristics of reflection seem to present us with a problem in common. [*]

In common in a way certainly, said I, but in another way not in common either. In the first place consider the matter of the image,[*] how topsy-turvy and like rivers flowing uphill[*] they conceive it. The fact is that the water is on earth and below, and the moon above the earth and on high; and hence the angles produced by the reflected rays are the converse of each other, the one having its apex above at the moon, the other below at the earth.[*] So they must not demand that every kind of mirror or a mirror at every distance produce a similar reflection, since (in doing so) they are at variance with the manifest facts. Those, on the other hand, who declare that the moon is not a tenuous or a smooth body as water is but a heavy and earthy one,[*] I do not understand why it is required of them that the sun be manifest to vision in her. For milk does not return such mirrorings either or produce reflections of the visual ray, and the reason is the irregularity and roughness of its particles[*]; how in the world the is it possible for the moon to cast the visual ray back from herself in the way that the smoother mirrors do? Yet even these, of course, are occluded if a scratch or speck of dirt or roughness covers the point
from which the visual ray is naturally reflected, and while the mirrors themselves are seen they do not return the customary reflection.[*] One who demands that the moon either reflect our vision from herself to the sun as well or else not reflect the sun from herself to us either is naive, for he is demanding that the eye be a sun, the vision light, and the human being a heaven. Since the light of the sun because of its intensity and brilliance arrives at the moon with a shock, it is reasonable that its reflection should reach to us; but the visual ray, since it is weak and tenuous and many times slighter, what wonder if it does not have an impact that produces recoil or if in rebounding it does not maintain its continuity but is dispersed and exhausted, not having light enough to keep it from being scattered about the irregularities and corrugations (of the moon)? From water, to be sure, and from mirrors of other kinds it is not impossible for the reflection (of the visual ray) to rebound to the sun, since it is still strong because it is near to its point of origin[*]; but from the moon, even if the visual rays do in some cases glance off, they will be weak and dim and prematurely exhausted because of the magnitude of the distance.[*] What is more too, whereas mirrors that are concave make
the ray of light more intense after reflection than it was before so as often even to send off flames,[*] convex and spherical mirrors[*] by not exerting counterpressure upon it from all points [give it off] weak and faint. You observe, I presume, whenever two rainbows appear, as one cloud encloses another, that the encompassing rainbow produces colours that are faint and indistinct. The reason for this is that the outer cloud, being situated further off from the eye, returns a reflection that is not intense or strong.[*] Nay, what need of further arguments? When the light of the sun by being reflected from the moon loses all its heat[*] and of its brilliance there barely reaches us a slight and feeble remnant, is it really possible that of the visual ray travelling the same double-course[*] any fraction of a remnant should from the moon arrive at the sun? For my part, I think not; and do you too, I said, consider this. If the visual ray were affected in the same way by water and by the moon, the full moon ought to show such reflections of the earth and plants and human beings and stars as all other mirrors do; but, if there occur no reflections of the visual ray to these objects either
because of the weakness of the ray or the ruggedness of the moon, let us not require that there be such reflection to the sun either.

So we for our part, said I, have now reported as much of that conversation[*] as has not slipped our mind; and it is high time to summon Sulla or rather to demand his narrative as the agreed condition upon which he was admitted as a listener. So, if it is agreeable, let us stop our promenade and sit down upon the benches, that we may provide him with a settled audience. To this then they agreed; and, when we had sat down, Theon said: Though, as you know, Lamprias, I am as eager as any of you to hear what is going to be said, I should like before that to hear about the beings that are said to dwell on the moon[*] not whether any really do inhabit it but whether habitation there is possible. If it is not possible, the assertion that the moon is an earth is itself absurd, for she would then appear to have come into existence vainly and to no purpose, neither bringing forth fruit nor providing for men of some kind an origin, an abode, and a means of life, the purposes for which this earth of ours came into being, as we say with Plato, our nurse, strict guardian and artificer of day and night. [*] You see that there is

much talk about these things both in jest and seriously. It is said that those who dwell under the moon have her suspended overhead like the stone of Tantalus[*] and on the other hand that those who dwell upon her, fast bound like so many Ixions[*] by such great velocity, [are kept from falling by being whirled round in a circle]. Yet it is not with a single motion that she moves; but she is, as somewhere she is in fact called, the goddess of three ways,[*] for she moves on the zodiac against the signs in longitude and latitude and in depth at the same time. Of these movements the mathematicians call the first revolution, the second spiral, and the third, I know not why, anomaly, although they see that she has no motion at all that is uniform and fixed by regular recurrences,[*] There is reason to wonder then not that the velocity caused a lion to fall on the Peloponnesus[*]
but how it is that we are not forever seeing countless
Men falling headlong and lives spurned away,[*]
tumbling off the moon, as it were, and turned head over heels. It is moreover ridiculous to raise the question how the inhabitants of the moon remain there, if they cannot come to be or exist. Now, when Egyptians and Troglodytes,[*] for whom the sun stands in the zenith one moment of one day at the solstice and then departs, are all but burnt to a cinder by the dryness of the atmosphere, is it really likely that the men on the moon endure twelve summers every year, the sun standing fixed vertically above them each month at the full moon? Yet winds and clouds and rains, without which plants can neither arise nor having arisen be preserved, because of the heat and tenuousness of the atmosphere cannot possibly be imagined as forming there, for not even here on earth do the lofty mountains admit fierce and contrary storms[*] but the air, [being tenuous] already and having a rolling swell[*] as a result of its lightness, escapes this compaction and condensation. Otherwise, by Heaven, we shall have to say that, as Athena when Achilles was taking no food instilled into him
some nectar and ambrosia,[*] so the moon, which is Athena in name and fact,[*] nourishes her men by sending up ambrosia for them day by day, the food of [the] gods themselves as the ancient Pherecydes believes.[*] For even the Indian root which according to Megasthenes the Mouthless Men, who [neither eat] nor drink, kindle and cause to smoulder and inhale for their nourishment,[*] how could it be supposed to grow there if the moon is not moistened by rain ?

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it 99 w 16864
possible 5 w 16872
that 57 w 16876
any 8 w 16879
clefts 2 w 16885
and 142 w 16888
chasms 1 w 16894
cast 1 w 16898
shadows 2 w 16905
which 24 w 16910
from 20 w 16914
the 304 w 16917
moon 47 w 16921
reach 2 w 16926
our 34 w 16929
sight 3 w 16934
here 25 w 16938
or 101 w 16941
do 50 w 16943
you 10 w 16946
not 29 w 16949
reckon 1 w 16955
the 305 w 16958
consequence 1 w 16969
and 143 w 16973
shall 4 w 16978
I 35 w 16979
tell 2 w 16983
you 11 w 16986
what 8 w 16990
it 100 w 16992
is 166 w 16994
Please 1 w 17001
listen 1 w 17007
then 5 w 17011
though 5 w 17018
it 101 w 17020
is 168 w 17022
not 30 w 17025
anything 2 w 17033
unknown 1 w 17040
to 101 w 17042
you 12 w 17045
The 15 w 17049
diameter 2 w 17057
of 125 w 17059
the 307 w 17062
moon 48 w 17066
measures 1 w 17074
twelve 1 w 17080
digits 1 w 17086
in 258 w 17088
apparent 3 w 17096
size 1 w 17100
at 166 w 17102
her 71 w 17105
mean 7 w 17109
distance 1 w 17117
cf 38 w 17119
Cleomedes 8 w 17129
ii 30 w 17132
3 66 w 17134
95 6 w 17137
p 329 w 17139
172 1 w 17143
25-27 1 w 17149
Ziegler 7 w 17157
on 224 w 17162
this 19 w 17166
measurement 1 w 17177
of 126 w 17179
12 16 w 17181
digits 2 w 17187
cf 39 w 17189
Heath 1 w 17195
Aristarchus 2 w 17207
of 127 w 17209
Samos 1 w 17214
p 330 w 17216
23 10 w 17219
n 1055 w 17221
1 163 w 17223
and 144 w 17228
each 5 w 17232
of 128 w 17234
the 308 w 17237
black 4 w 17242
and 145 w 17245
shadowy 2 w 17252
spots 1 w 17257
appears 4 w 17264
greater 1 w 17271
than 5 w 17275
half 3 w 17279
a 1186 w 17280
digit 3 w 17285
and 146 w 17288
consequently 1 w 17300
would 2 w 17305
be 60 w 17307
greater 2 w 17314
than 6 w 17318
one 14 w 17321
twenty-fourth 1 w 17334
of 129 w 17336
her 72 w 17339
diameter 3 w 17347
Well 2 w 17352
then 6 w 17356
if 32 w 17359
we 22 w 17361
should 4 w 17367
suppose 3 w 17374
that 58 w 17378
the 310 w 17381
circumference 1 w 17394
of 130 w 17396
the 311 w 17399
moon 49 w 17403
is 172 w 17405
only 3 w 17409
thirty 1 w 17415
thousand 1 w 17423
stades 1 w 17429
and 148 w 17432
her 73 w 17435
diameter 4 w 17443
ten 17 w 17446
thousand 2 w 17454
each 6 w 17458
of 131 w 17460
the 312 w 17463
shadowy 3 w 17470
spots 2 w 17475
on 229 w 17477
her 74 w 17480
would 3 w 17485
in 259 w 17487
accordance 1 w 17497
with 17 w 17501
the 313 w 17504
assumption 1 w 17514
measure 3 w 17521
not 31 w 17524
less 8 w 17528
than 7 w 17532
five 3 w 17536
hundred 1 w 17543
stades 2 w 17549
Apodonides 1 w 17560
exaggerates 1 w 17571
for 35 w 17574
the 314 w 17577
sake 1 w 17581
of 132 w 17583
his 28 w 17586
point 7 w 17591
for 36 w 17595
500 1 w 17598
stades 3 w 17604
is 174 w 17606
1 164 w 17607
20 9 w 17610
not 32 w 17613
1 165 w 17614
24 3 w 17617
of 133 w 17619
10 21 w 17621
000 1 w 17625
but 27 w 17629
he 464 w 17631
has 21 w 17634
guarded 1 w 17641
himself 1 w 17648
by 27 w 17650
saying 1 w 17656
that 59 w 17660
each 7 w 17664
of 134 w 17666
the 315 w 17669
spots 3 w 17674
is 175 w 17676
more 8 w 17680
than 8 w 17684
half 4 w 17688
a 1216 w 17689
digit 4 w 17694
and 150 w 17697
so 43 w 17699
more 9 w 17703
than 9 w 17707
1 167 w 17708
24 4 w 17711
of 135 w 17713
the 316 w 17716
diameter 5 w 17724
On 2 w 17727
the 317 w 17730
other 10 w 17735
hand 2 w 17739
he 469 w 17742
intends 1 w 17749
his 29 w 17752
estimate 1 w 17760
of 136 w 17762
the 319 w 17765
moon 50 w 17769
s 1197 w 17771
size 2 w 17775
to 102 w 17777
err 5 w 17780
if 33 w 17783
at 174 w 17785
all 28 w 17788
on 233 w 17791
the 320 w 17794
side 5 w 17798
of 137 w 17800
conservatism 1 w 17812
cf 40 w 17815
only 4 w 17820
thirty 2 w 17826
thousand 3 w 17834
stades 4 w 17840
Such 1 w 17845
small 2 w 17850
figures 3 w 17857
even 8 w 17862
as 125 w 17864
minima 1 w 17870
are 27 w 17874
remarkable 1 w 17884
however 4 w 17892
Cleomedes 9 w 17902
ii 31 w 17905
1 168 w 17907
80-81 1 w 17913
pp 32 w 17916
146 1 w 17920
25-148 1 w 17927
3 68 w 17929
Ziegler 8 w 17937
gives 3 w 17944
40 3 w 17946
000 2 w 17950
stades 5 w 17956
as 126 w 17958
the 321 w 17961
lunar 3 w 17966
diameter 6 w 17974
basing 1 w 17981
this 20 w 17985
upon 7 w 17989
the 322 w 17992
assumption 2 w 18002
that 60 w 18006
the 323 w 18009
earth 33 w 18014
is 179 w 18016
twice 1 w 18021
as 129 w 18023
large 3 w 18028
as 130 w 18030
the 324 w 18033
moon 51 w 18037
and 153 w 18040
has 22 w 18043
a 1246 w 18044
circumference 2 w 18057
of 138 w 18059
250 1 w 18062
000 3 w 18066
stades 6 w 18072
according 4 w 18081
to 103 w 18083
the 325 w 18086
measurement 2 w 18097
of 139 w 18099
Eratosthenes 1 w 18111
and 154 w 18114
a 1252 w 18115
diameter 7 w 18123
therefore 1 w 18132
of 140 w 18134
more 10 w 18138
than 10 w 18142
80 7 w 18144
000 4 w 18148
stades 7 w 18154
Plutarch 10 w 18163
adopted 1 w 18170
the 328 w 18173
same 2 w 18177
figure 4 w 18183
for 38 w 18186
the 329 w 18189
terrestrial 1 w 18200
diameter 8 w 18208
see 6 w 18212
925 1 w 18215
D 20 w 18216
supra 10 w 18221
but 28 w 18225
supposed 1 w 18233
this 21 w 18237
and 155 w 18240
the 330 w 18243
terrestrial 2 w 18254
circumference 3 w 18267
to 105 w 18269
be 61 w 18271
three 3 w 18276
times 4 w 18281
those 1 w 18286
of 141 w 18288
the 331 w 18291
moon 52 w 18295
see 7 w 18299
923 2 w 18302
B 23 w 18303
supra 11 w 18308
and 156 w 18311
note 8 w 18315
d 582 w 18316
there 10 w 18321
figures 4 w 18330
which 25 w 18335
should 5 w 18341
have 11 w 18345
given 3 w 18350
him 3 w 18353
more 11 w 18357
than 11 w 18361
26 3 w 18363
000 5 w 18367
stades 8 w 18373
as 133 w 18375
the 333 w 18378
lunar 4 w 18383
diameter 9 w 18391
According 1 w 18401
to 106 w 18403
Hultsch 1 w 18410
however 5 w 18418
Posidonius 2 w 18429
must 5 w 18433
have 12 w 18437
calculated 1 w 18447
the 334 w 18450
lunar 5 w 18455
diameter 10 w 18463
to 107 w 18465
be 62 w 18467
12 17 w 18469
000 6 w 18473
stades 9 w 18479
cf 41 w 18482
Abhand 1 w 18489
K 4 w 18491
Gesell 1 w 18498
Wissensch 1 w 18508
zu 2 w 18511
Göttingen 1 w 18520
Phil 13 w 18525
Hist 2 w 18531
Kl 1 w 18534
N 11 w 18537
F 19 w 18539
i 1221 w 18541
No 4 w 18544
5 48 w 18546
p 350 w 18548
38 3 w 18551
which 26 w 18558
by 28 w 18560
the 335 w 18563
usual 1 w 18568
approximation 1 w 18581
would 4 w 18586
have 13 w 18590
given 4 w 18595
36 3 w 18597
000 7 w 18601
stades 10 w 18607
for 39 w 18610
the 336 w 18613
lunar 6 w 18618
circumference 4 w 18631
and 158 w 18635
Apollonides 5 w 18646
minimal 1 w 18653
estimate 2 w 18661
may 2 w 18664
have 14 w 18668
been 5 w 18672
based 1 w 18677
upon 8 w 18681
these 6 w 18686
figures 5 w 18693
For 8 w 18697
the 338 w 18700
common 1 w 18706
rough 6 w 18711
approximation 2 w 18724
3-1 2 w 18727
as 135 w 18729
the 339 w 18732
relation 1 w 18740
of 142 w 18742
circumference 5 w 18755
to 108 w 18757
diameter 11 w 18765
cf 42 w 18767
Archimedes 1 w 18778
Arenarius 1 w 18788
ii 32 w 18791
3 73 w 18793
Opera 1 w 18799
Omnia 1 w 18804
ii 33 w 18807
p 358 w 18809
234 2 w 18813
28-29 1 w 18819
Heiberg 1 w 18827
Consider 1 w 18838
now 7 w 18841
in 269 w 18843
the 340 w 18846
first 7 w 18851
place 5 w 18856
whether 3 w 18863
it 107 w 18865
is 183 w 18867
possible 6 w 18875
for 40 w 18878
the 342 w 18881
moon 53 w 18885
to 109 w 18887
have 15 w 18891
depths 3 w 18897
and 159 w 18900
corrugations 1 w 18912
so 44 w 18914
great 7 w 18919
as 136 w 18921
to 110 w 18923
cast 2 w 18927
such 4 w 18931
a 1306 w 18932
large 4 w 18937
shadow 29 w 18943
in 270 w 18946
the 343 w 18949
second 1 w 18955
place 6 w 18960
why 2 w 18963
if 34 w 18966
they 6 w 18970
are 28 w 18973
of 143 w 18975
such 5 w 18979
great 8 w 18984
magnitude 2 w 18993
we 25 w 18996
do 57 w 18998
not 34 w 19001
see 8 w 19004
them 7 w 19008
Then 3 w 19013
I 36 w 19014
said 15 w 19018
to 111 w 19020
him 5 w 19023
with 18 w 19027
a 1314 w 19028
smile 1 w 19033
Congratulations 1 w 19049
for 41 w 19052
having 2 w 19058
discovered 1 w 19068
such 6 w 19072
a 1318 w 19073
demonstration 2 w 19086
Apollonides 6 w 19098
It 6 w 19101
would 5 w 19106
enable 1 w 19112
you 13 w 19115
to 112 w 19117
prove 2 w 19122
that 61 w 19126
both 1 w 19130
you 14 w 19133
and 160 w 19136
I 38 w 19137
are 29 w 19140
taller 1 w 19146
than 12 w 19150
the 346 w 19153
famous 1 w 19159
sons 1 w 19163
of 144 w 19165
Aloeus 1 w 19171
Otus 1 w 19176
and 161 w 19179
Ephialtes 1 w 19188
cf 43 w 19191
Exilio 1 w 19198
602 1 w 19202
d 614 w 19203
Iliad 9 w 19209
v 161 w 19211
385-387 1 w 19219
Odyssey 2 w 19227
xi 9 w 19230
305-320 1 w 19238
Apollodorus 1 w 19250
Bibliotheca 1 w 19262
i 1271 w 19264
7 33 w 19266
4 56 w 19268
2-4 1 w 19272
not 35 w 19276
at 190 w 19278
every 5 w 19283
time 10 w 19287
of 145 w 19289
day 2 w 19292
to 113 w 19294
be 65 w 19296
sure 8 w 19300
but 29 w 19303
early 1 w 19308
in 272 w 19310
the 348 w 19313
morning 1 w 19320
particularly 1 w 19332
and 162 w 19335
in 274 w 19337
late 3 w 19341
afternoon 1 w 19350
if 35 w 19353
when 25 w 19358
the 349 w 19361
sun 17 w 19364
makes 3 w 19369
our 36 w 19372
shadows 3 w 19379
enormous 1 w 19387
you 15 w 19391
intend 2 w 19397
to 114 w 19399
supply 1 w 19405
sensation 1 w 19414
with 19 w 19418
this 22 w 19422
lovely 1 w 19428
reasoning 1 w 19437
that 62 w 19441
if 36 w 19444
the 350 w 19447
shadow 31 w 19453
cast 3 w 19457
is 186 w 19459
large 5 w 19464
what 9 w 19469
casts 1 w 19474
the 351 w 19477
shadow 32 w 19483
is 187 w 19485
immense 1 w 19492
I 40 w 19494
am 29 w 19496
well 3 w 19500
aware 2 w 19505
that 63 w 19509
neither 1 w 19516
of 146 w 19518
us 99 w 19520
has 23 w 19523
been 6 w 19527
in 277 w 19529
Lemnos 1 w 19535
we 27 w 19538
have 16 w 19542
both 2 w 19546
however 6 w 19554
often 3 w 19560
heard 2 w 19565
this 23 w 19569
line 7 w 19573
that 64 w 19577
is 189 w 19579
on 260 w 19581
everyone 1 w 19589
s 1322 w 19591
lips 30 w 19595
Athos 1 w 19601
will 3 w 19605
veil 1 w 19609
the 353 w 19612
Lemnian 1 w 19619
heifer 1 w 19625
s 1325 w 19627
flank 1 w 19632
The 17 w 19636
verse 3 w 19641
which 27 w 19647
comes 3 w 19652
from 21 w 19656
an 250 w 19658
unidentified 1 w 19670
tragedy 1 w 19677
of 148 w 19679
Sophocles 1 w 19688
is 190 w 19691
elsewhere 2 w 19700
quoted 1 w 19706
with 20 w 19710
καλύπτει 1 w 19718
or 121 w 19720
σκιάζει 1 w 19727
and 163 w 19730
with 21 w 19734
πλευρά 1 w 19740
or 122 w 19742
νῶτα 1 w 19746
cf 44 w 19749
Nauck 2 w 19755
Trag 1 w 19760
Graec 6 w 19766
Frag 1 w 19771
p 372 w 19774
299 1 w 19778
frag 5 w 19783
708 1 w 19787
For 9 w 19792
the 354 w 19795
shadow 33 w 19801
of 149 w 19803
Athos 2 w 19808
cast 5 w 19812
upon 9 w 19816
Lemnos 2 w 19822
cf 45 w 19824
Pliny 2 w 19830
Nat 2 w 19834
Hist 3 w 19839
iv 32 w 19842
12 18 w 19845
23 13 w 19848
73 1 w 19852
Apollonius 1 w 19863
Rhodius 1 w 19870
i 1309 w 19872
601-604 1 w 19880
Proclus 1 w 19888
In 5 w 19891
Timaeum 1 w 19898
56 6 w 19901
B 25 w 19902
i 1311 w 19904
p 375 w 19906
181 1 w 19910
12 19 w 19913
ff 28 w 19915
Diehl 1 w 19922
The 18 w 19928
point 8 w 19933
of 150 w 19935
this 24 w 19939
apparently 1 w 19949
is 193 w 19951
that 65 w 19955
the 355 w 19958
shadow 34 w 19964
of 151 w 19966
the 356 w 19969
mountain 3 w 19977
extending 2 w 19987
not 36 w 19990
less 9 w 19994
than 13 w 19998
seven 2 w 20003
hundred 2 w 20010
stades 11 w 20016
over 7 w 20020
the 357 w 20023
sea 7 w 20026
Proclus 2 w 20034
loc 2 w 20038
cit 4 w 20042
says 3 w 20048
that 66 w 20052
this 25 w 20056
is 195 w 20058
the 358 w 20061
distance 2 w 20069
of 152 w 20071
Lemnos 3 w 20077
from 22 w 20081
Athos 3 w 20086
Plutarch 11 w 20095
rather 7 w 20101
that 67 w 20105
it 115 w 20107
is 197 w 20109
the 360 w 20112
length 2 w 20118
of 153 w 20120
the 361 w 20123
shadow 35 w 20129
cast 6 w 20133
by 29 w 20135
the 362 w 20138
mountain 4 w 20146
According 2 w 20156
to 115 w 20158
Eustathius 2 w 20168
Ad 5 w 20171
Iliadem 4 w 20178
980 1 w 20182
45 4 w 20185
ff 29 w 20187
Athos 4 w 20195
is 198 w 20197
300 1 w 20200
stades 12 w 20206
distant 2 w 20213
from 23 w 20217
Lemnos 4 w 20223
according 5 w 20233
to 116 w 20235
Pliny 3 w 20240
loc 3 w 20244
cit 5 w 20248
87 5 w 20252
Roman 1 w 20257
miles 1 w 20262
unless 2 w 20269
this 26 w 20273
is 201 w 20275
a 1395 w 20276
scribal 2 w 20283
error 2 w 20288
for 42 w 20291
XXXXVII 1 w 20298
The 19 w 20303
actual 1 w 20309
distance 3 w 20317
is 203 w 20319
said 16 w 20323
to 117 w 20325
be 67 w 20327
about 7 w 20332
50 5 w 20334
miles 2 w 20339
and 164 w 20343
Athos 5 w 20348
which 28 w 20354
is 204 w 20356
6350 1 w 20360
feet 1 w 20364
high 3 w 20368
could 2 w 20374
cast 7 w 20378
a 1404 w 20379
shadow 36 w 20385
for 43 w 20388
almost 2 w 20394
100 4 w 20397
miles 3 w 20402
over 8 w 20406
open 4 w 20410
sea 8 w 20413
falls 1 w 20419
upon 10 w 20423
a 1409 w 20424
little 2 w 20430
bronze 1 w 20436
heifer 2 w 20442
but 30 w 20447
it 118 w 20449
is 205 w 20451
not 37 w 20454
necessary 3 w 20463
I 45 w 20465
presume 1 w 20472
that 68 w 20478
what 10 w 20482
casts 2 w 20487
the 363 w 20490
shadow 37 w 20496
be 68 w 20498
seven 3 w 20504
hundred 3 w 20511
stades 13 w 20517
high 4 w 20522
for 44 w 20526
the 364 w 20529
reason 9 w 20535
that 69 w 20539
shadows 4 w 20546
are 32 w 20549
made 3 w 20553
many 5 w 20557
times 5 w 20562
the 365 w 20565
size 3 w 20569
of 154 w 20571
the 366 w 20574
objects 1 w 20581
that 70 w 20585
cast 9 w 20589
them 8 w 20593
by 30 w 20595
the 368 w 20598
remoteness 1 w 20608
of 155 w 20610
the 369 w 20613
light 12 w 20618
from 24 w 20622
the 370 w 20625
objects 2 w 20632
In 6 w 20635
this 27 w 20639
Plutarch 12 w 20647
is 207 w 20649
guilty 1 w 20655
either 4 w 20661
of 156 w 20663
an 259 w 20665
error 3 w 20670
or 131 w 20672
of 157 w 20674
an 260 w 20676
intentional 1 w 20687
sophism 1 w 20694
cf 46 w 20697
Class 6 w 20703
Phil 14 w 20708
xlvi 5 w 20713
1951 5 w 20718
p 383 w 20721
145 3 w 20725
Come 1 w 20730
then 8 w 20734
observe 1 w 20742
that 71 w 20746
when 26 w 20751
the 373 w 20754
moon 54 w 20758
is 209 w 20760
at 208 w 20762
the 374 w 20765
full 3 w 20769
and 165 w 20772
because 10 w 20779
of 158 w 20781
the 375 w 20784
shadows 5 w 20791
depth 4 w 20796
exhibits 2 w 20804
most 6 w 20808
articulately 1 w 20820
the 376 w 20823
appearance 2 w 20833
of 159 w 20835
the 377 w 20838
face 5 w 20842
the 378 w 20846
sun 18 w 20849
is 210 w 20851
at 210 w 20853
his 39 w 20856
maximum 2 w 20863
distance 4 w 20871
from 25 w 20875
her 83 w 20878
The 20 w 20882
reason 10 w 20888
is 213 w 20890
that 72 w 20894
the 379 w 20897
remoteness 2 w 20907
of 160 w 20909
the 380 w 20912
light 13 w 20917
alone 2 w 20922
and 166 w 20925
not 38 w 20928
the 381 w 20931
magnitude 3 w 20940
of 161 w 20942
the 382 w 20945
irregularities 1 w 20959
on 271 w 20961
the 383 w 20964
surface 3 w 20971
of 162 w 20973
the 384 w 20976
moon 55 w 20980
has 24 w 20983
made 4 w 20987
the 385 w 20990
shadow 40 w 20996
large 6 w 21001
Besides 1 w 21009
even 11 w 21014
in 288 w 21016
the 386 w 21019
case 2 w 21023
of 163 w 21025
mountains 3 w 21034
the 387 w 21037
dazzling 1 w 21045
beams 1 w 21050
of 164 w 21052
the 388 w 21055
sun 19 w 21058
prevent 1 w 21065
their 2 w 21070
crags 1 w 21075
from 26 w 21079
being 10 w 21084
discerned 1 w 21093
in 292 w 21095
broad 2 w 21100
daylight 1 w 21108
although 2 w 21117
their 3 w 21122
depths 4 w 21128
and 167 w 21131
hollows 1 w 21138
and 168 w 21141
shadowy 4 w 21148
parts 4 w 21153
are 33 w 21156
visible 5 w 21163
from 27 w 21167
afar 1 w 21171
So 8 w 21174
it 123 w 21176
is 216 w 21178
not 39 w 21181
at 212 w 21183
all 32 w 21186
strange 1 w 21193
that 73 w 21197
in 293 w 21199
the 391 w 21202
case 3 w 21206
of 165 w 21208
the 392 w 21211
moon 56 w 21215
too 5 w 21218
it 124 w 21220
is 217 w 21222
not 40 w 21225
possible 7 w 21233
to 119 w 21235
discern 2 w 21242
accurately 2 w 21252
the 393 w 21255
reflection 4 w 21265
and 169 w 21268
illumination 1 w 21280
whereas 3 w 21288
the 394 w 21291
juxtapositions 1 w 21305
of 166 w 21307
the 395 w 21310
shadowy 5 w 21317
and 170 w 21320
brilliant 2 w 21329
parts 5 w 21334
by 31 w 21336
reason 11 w 21342
of 167 w 21344
the 396 w 21347
contrast 2 w 21355
do 72 w 21357
not 41 w 21360
escape 3 w 21366
our 37 w 21369
sight 4 w 21374
There 1 w 21380
is 219 w 21382
this 28 w 21386
however 7 w 21394
I 47 w 21396
said 17 w 21400
which 29 w 21406
seems 3 w 21411
to 120 w 21413
be 72 w 21415
a 1488 w 21416
stronger 1 w 21424
objection 3 w 21433
to 121 w 21435
the 397 w 21438
alleged 2 w 21445
reflection 5 w 21455
from 28 w 21459
the 398 w 21462
moon 57 w 21466
It 7 w 21469
happens 2 w 21476
that 74 w 21480
those 2 w 21485
who 4 w 21488
have 17 w 21492
placed 1 w 21498
themselves 2 w 21508
in 295 w 21510
the 400 w 21513
path 1 w 21517
of 168 w 21519
reflected 1 w 21528
rays 1 w 21532
see 10 w 21535
not 42 w 21538
only 5 w 21542
the 401 w 21545
object 6 w 21551
illuminated 1 w 21562
but 31 w 21565
also 4 w 21569
what 11 w 21573
illuminates 1 w 21584
it 126 w 21586
For 10 w 21590
example 1 w 21597
if 40 w 21600
when 27 w 21604
a 1501 w 21605
ray 2 w 21608
of 169 w 21610
light 15 w 21615
rebounds 1 w 21623
from 29 w 21627
water 3 w 21632
to 122 w 21634
a 1504 w 21635
wall 1 w 21639
the 402 w 21642
eye 4 w 21645
is 221 w 21647
situated 1 w 21655
in 298 w 21657
the 403 w 21660
place 8 w 21665
that 75 w 21669
is 222 w 21671
itself 2 w 21677
illuminated 2 w 21688
by 32 w 21690
the 404 w 21693
reflection 6 w 21703
the 405 w 21707
eye 5 w 21710
discerns 1 w 21718
all 35 w 21721
three 4 w 21726
things 5 w 21732
the 406 w 21736
reflected 2 w 21745
ray 3 w 21748
and 171 w 21751
the 407 w 21754
water 4 w 21759
that 76 w 21763
causes 1 w 21769
the 408 w 21772
reflection 7 w 21782
and 172 w 21785
the 409 w 21788
sun 20 w 21791
itself 3 w 21797
i 1430 w 21799
e 2404 w 21801
the 410 w 21805
image 1 w 21810
of 170 w 21812
the 411 w 21815
sun 21 w 21818
in 301 w 21820
the 412 w 21823
water 5 w 21828
or 133 w 21830
the 413 w 21833
reflecting 1 w 21843
surface 4 w 21850
the 414 w 21854
source 2 w 21860
of 171 w 21862
the 415 w 21865
light 16 w 21870
which 30 w 21875
has 25 w 21878
been 7 w 21882
reflected 3 w 21891
by 33 w 21893
impinging 2 w 21902
upon 11 w 21906
the 416 w 21909
water 6 w 21914
On 3 w 21917
the 417 w 21920
basis 2 w 21925
of 172 w 21927
these 7 w 21932
admitted 1 w 21940
and 173 w 21943
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Stoics 3 w 22064
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Cleomedes 10 w 22094
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The 22 w 22181
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Arnim 1 w 22230
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Since 3 w 22385
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ἡμᾶς 1 w 22871
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The 23 w 23619
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The 25 w 27080
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Meteorology 1 w 27272
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When 2 w 27423
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The 27 w 27689
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For 17 w 27834
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recurrences 1 w 31737
For 21 w 31741
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text 2 w 31748
terminology 1 w 31760
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Class 7 w 31800
Phil 16 w 31805
xlvi 6 w 31810
1951 6 w 31815
pp 52 w 31819
146-147 1 w 31827
There 2 w 31833
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reason 16 w 31841
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Peloponnesus 1 w 31905
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Epimenides 1 w 31918
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p 562 w 31930
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Anaxagoras 3 w 31964
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Nat 3 w 32205
Hist 4 w 32210
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Plutarch 17 w 32566
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Pontici 1 w 32589
Vita 1 w 32593
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Scriptis 1 w 32603
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Men 2 w 32657
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Supplices 1 w 32711
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Curiositate 1 w 32731
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It 10 w 32841
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Now 3 w 32948
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Herodotus 1 w 33004
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Yet 3 w 33290
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Aristotle 7 w 33537
Meteorology 2 w 33549
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Meteor 5 w 33590
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ἐναντίους 1 w 33647
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Plat 7 w 33734
Quaest 8 w 33741
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Otherwise 1 w 33818
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See 8 w 33983
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C 63 w 34000
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Pherecydes 1 w 34106
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Pherecydes 2 w 34125
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For 22 w 34164
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Mouthless 1 w 34220
Men 3 w 34223
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Frag 3 w 34325
Hist 5 w 34330
Graec 9 w 34336
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xv 5 w 34387
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Pliny 5 w 34405
Nat 4 w 34409
Hist 6 w 34414
vii 10 w 34418
2 157 w 34420
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Aristotle 8 w 34433
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Vera 1 w 34626
Hist 7 w 34630
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Herodotus 2 w 34686
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