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deep in a cave the sibyl makes abode; thence full of fate returns, and of the god. thro' trivia's grove they walk; and now behold, and enter now, the temple roof'd with gold. |
nero's displeasure at this was the deeper, since this same thrasea had sung in a tragedian's dress at patavium, his birth-place, in some games instituted by the trojan antenor. |
perceiving these things the pelasgians considered the matter; and when they took counsel together, a fear came over them and they thought, if the boys were indeed resolved now to help one another against the sons of the legitimate wives, and were |
dem.-one. let o be the centre. join ob. now since o is the centre, oa is equal to ob: to each add op, and we have ap equal to the sum of ob, op; but the sum of ob, op is greater than pb i. xx. . therefore pa is greater than pb. |
where the athenians could move without fighting. |
if our folly does not carry us so far as this, we must necessarily admit, that the decision of the mind, which is believed to be free, is not distinguishable from the imagination or memory, and is nothing more than the affirmation, which an idea, by |
and taking these equals from the whole circles, which are equal (hyp.), the remaining segments agb, dke are equal. hence the arcs agb, dke are equal. |
no; instead of that, he tries to remedy it: he shuts out some water, bales out some other, closes all the holes that he can see, and by ceaseless labour counteracts those which are out of sight and which let water into the hold; nor does he relax his |
wherefore of all modes of purifying and re-uniting the body the best is gymnastic; the next best is a surging motion, as in sailing or any other mode of conveyance which is not fatiguing; the third sort of motion may be of use in a case of extreme |
add to this that it does not appear that any animal naturally makes war on man, except in case of self-defence or excessive hunger, or betrays any of those violent antipathies, which seem to indicate that one species is intended by nature for the food of |
of the greater weel) he enveloped the hollow parts of the body, and at one time he made all this to flow into the lesser weels, quite gently, for they are composed of air, and at another time he caused the lesser weels to flow back again; and the net he |
to sum up then, all actions due to ourselves either are or seem to be either good or pleasant. |
also the vastness of the persian armament, both by sea and on land, caused a helpless terror, which made us more and more the servants of our rulers and of the laws; and for all these reasons an exceeding harmony prevailed among us. |
by the record of those that were otherwise; for as the greek historians record in their annals the names of those who first unsheathed the sword of civil war, or murdered their brothers, or were parricides, or killed their mothers, so the roman writers |
two hundred fifteen modo ne nefarium fifty c, edd.; modo nefarium nonius; et nefarium b h a b. |
'destructible' is applied (a) to that which formerly was and afterwards either is not or might not be, whether a period of being destroyed and changed intervenes or not; and (b) sometimes we apply the word to that which a process of destruction may cause |
the greeks observed in the word amartema, and egklema, or aitia; wherof the former, (which is translated sinne,) signifieth any swarving from the law whatsoever; but the two later, (which are translated crime,) signifie that sinne onely, whereof one man |
this would be the case on the theory set forth in parmenides: for he says that the things into which change takes place are two, and he asserts that these two, viz. what is and what is not, are fire and earth. |
such an event, therefore, will be neither pitiful nor terrible. |
experiments made of arbitrary power, and that religion underhand favoured, (tho' publicly proclaimed against) which is readiest to introduce it; and the operators in it supported, as much as may be; and when that cannot be done, yet approved still, and |
four: "the art of giving orders is not to try to rectify minor blunders and not to be swayed by petty doubts." vacillation and fussiness are the surest means of sapping the confidence of an army. |
he who would understand everything in man must handle everything. but for that i have too clean hands. |
i. schines was the son of charinus, the sausage-maker, but, as some writers say, of lysanias; he was a citizen of athens, of an industrious disposition from his boyhood upwards, on which account he never quitted socrates. |
sixteen. we do not, therefore, need an angry chastiser to punish the erring and wicked: for since anger is a crime of the mind, it is not right that sins should be punished by sin. "what! am i not to be angry with a robber, or a poisoner?" |
out of chios he himself drove the king's party, and set the colophonians at liberty, having seized epigonus the tyrant, who oppressed them. |
twenty eight. classify the properties of triangles and parallelograms proved in book one. |
we entertain a suspicion concerning any matter of fact, when the witnesses contradict each other; when they are but few, or of a doubtful character; when they have an interest in what they affirm; when they deliver their testimony with hesitation, or on |
(eleven) fifty. dindorf, "index graec." ox. ed.; cf. hor. "ep." two. ii. one hundred forty four, "sed verae numerosque modosque ediscere vitae," "the harmony of life," conington. |
what matter where, if i be still the same, and what i should be, all but less than he whom thunder hath made greater? |
in consequence of what has been said, in part by way of assumption and in part by way of proof, it is clear that not every body either possesses lightness or heaviness. |
book five. theory of proportion definitions. |
neighbours. the class of craftsmen who have furnished human life with the arts is dedicated to hephaestus and athene; and there is a class of craftsmen who preserve the works of all craftsmen by arts of defence, the votaries of ares and athene, to which |
i need not, for this, instance in those who sleep out whole stormy nights, without hearing the thunder, or seeing the lightning, or feeling the shaking of the house, which are sensible enough to those who are waking. |
for while it is clearly best for any being to attain the real end, yet, if that cannot be, the nearer it is to the best the better will be its state. it is for this reason that the earth moves not at all and the bodies near to it with few movements. |
those which have suffered more change and have become more criminal sink into the abyss, that is to say, into hades and other places in the world below, of which the very names terrify men, and which they picture to themselves as in a dream, both while |
management of the security and interest of the public without, with all those that it may receive benefit or damage from, yet they are always almost united. |
you see, then, it is only you that trouble yourself; you will everywhere follow yourself, and everywhere complain; for there is no satisfaction here below, but either for brutish or for divine souls. |
moves it: in fact the earlier movent is that which more strictly moves it. |
forgetfulness and stupidity. further, when to this evil constitution of body evil forms of government are added and evil discourses are uttered in private as well as in public, and no sort of instruction is given in youth to cure these evils, then all of |
if it had, there would be another body in which it sank: and if that had weight, there would be yet another which moved to the extremity and thus rose to the surface of all moving things. in fact, however, we have no evidence of such a body. |
twenty two. ca, cb are two tangents to a circle; be is perpendicular to ad, the diameter through a; prove that four hundred bisects be. |
the greater this exertion becomes, the more the constitution changes; and, as there is in this case no other corporate will to create an equilibrium by resisting the will of the prince, sooner or later the prince must inevitably suppress the sovereign and |
having given these commands, the creator remained in his own nature. |
"the arrogant sadness of a crabbed face."--auctor incert. |
and the arts of measuring and numbering and weighing come to the rescue of the human understanding-there is the beauty of them-and the apparent greater or less, or more or heavier, no longer have the mastery over us, but give way before calculation and |
i cannot engage myself so deep and so entire; when my will gives me to anything, 'tis not with so violent an obligation that my judgment is infected with it. |
two triangles, which have one angle in one equal to one angle in the other, and the sides about these angles reciprocally proportional, are equal in area. |
in all such disturbances of matter there is an alternative for the weaker element: it may escape to its kindred, or take the form of the stronger-becoming denser, if it be denser, or rarer if rarer. |
empedocles says that fire, water, air, and earth are four elements, and are thus 'simple' rather than flesh, bone, and bodies which, like these, are 'homoeomeries'. |
tertian; when of earth, which is the most sluggish of the four, and is only purged away in a four-fold period, the result is a quartan fever, which can with difficulty be shaken off. |
of two men being restored to health at the same time in the same way, e.g. from inflammation of the eye, yet this motion is not really one, but only specifically one). |
there thus emerges a distinction of vast importance, that of truth and falsehood, of reality and unreality, or between representation and reality. |
for we are all attracted and drawn to a zeal for learning and knowing; and we think it glorious to excel therein, while we count it base and immoral to fall into error, to wander from the truth, to be ignorant, to be led astray. |
and this theory is exhibited in so many different points of view, that we cannot with any certainty interpret one dialogue by another; e.g. the timaeus by the parmenides or phaedrus or philebus. |
moreover if the hellenes suspected that they were endeavouring to bring them on by fraud, they were ready to be taken as hostages in their ships.. |
as in the charmides he tells us that the body cannot be cured without the soul, so in the timaeus he strongly asserts the sympathy of soul and body; any defect of either is the occasion of the greatest discord and disproportion in the other. |
but juno of argos and minerva of alalcomene, now that they had put a stop to the murderous doings of mars, went back again to the house of jove. |
it is equally reasonable to assume that this body will be ungenerated and indestructible and exempt from increase and alteration, since everything that comes to be comes into being from its contrary and in some substrate, and passes away likewise in a |
circular motion is above all else the measure, because the number of this is the best known. now neither alteration nor increase nor coming into being can be regular, but locomotion can be. |
there was no lack of firewood; they need only step forward a few paces from the line where the battle was fought, and they would find arrows to hand in abundance, which the hellenes had forced the deserters from the king to throw away. |
for as god, when he brought the israelites into the land of promise, did not secure them therein, by subduing all the nations round about them; but left many of them, as thornes in their sides, to awaken from time to time their piety and industry: so our |
dem.-let o be the centre of apb. join op. i say the centre of the smaller circle is in the line op. if not, let it be in any other position such as e. join oe, ep, and produce oe through e to meet the circles in the points one hundred, a. |
include eternity in our desires. in this disposition of mind, man is happy even when his troubles engage him to quit life; and to die thus, is for him only to interrupt a life of happiness. |
cf. three. four ts'ao kung gives an interesting illustration from his own experience. when invading the territory of hsu-chou, he ignored the city of hua-pi, which lay directly in his path, and pressed on into the heart of the country. |
on this hector and the front rank of his men gave ground. as far as a man can throw a javelin when competing for some prize, or even in battle-so far did the trojans now retreat before the achaeans. |
the matter comes to be and ceases to be in one sense, while in another it does not. as that which contains the privation, it ceases to be in its own nature, for what ceases to be-the privation-is contained within it. |
the knowledge of the other party, he was totally freed from that vexatious infirmity. after a man has once done a woman right, he is never after in danger of misbehaving himself with that person, unless upon the account of some excusable weakness. |
his hands in front of it to catch anyone going out with the sheep, for he thought i might be foolish enough to attempt this. |
into the plea, but made a reconciliation first, and then a partition of the empire between them, taking as their boundary the ionian sea, the eastern provinces falling to antony, to caesar the western, and africa being left to lepidus. |
the romans exempted from war all such as were maimed in the thumbs, as having no more sufficient strength to hold their weapons. |
nineteen. find the locus of a point, the sum or the difference of whose distance from two fixed lines is equal to a given length. |
eighty six anapodizon , "calling him back over the same ground again." |
the style and plan of the timaeus differ greatly from that of any other of the platonic dialogues. the language is weighty, abrupt, and in some passages sublime. |
the exposition is not clear, but this is its real meaning. and further, they say that since the atomic bodies differ in shape, and there is an infinity of shapes, there is an infinity of simple bodies. |
but alexander, meantime, took the hills, and charging the thessalian foot that came up later, and strove to climb the steep and craggy ascent, killed the foremost, and the others, much distressed, could do the enemies no harm. |
then those who see the many beautiful, and who yet neither see absolute beauty, nor can follow any guide who points the way thither; who see the many just, and not absolute justice, and the like,-such persons may be said to have opinion but not knowledge? |
rich are more destructive to the state than those of the poor. |
again, since a b, dividing c by each, we have |
they came headlong back, filled with their panic those who were collecting and advancing to their assistance. |
i came home by chance the very day he was to be killed; and some one came and told me that the cook had found two or three great balls in his paunch, that rattled against one another amongst what he had eaten. |
then because ad and bc are parallel, and bc is normal to the plane, ad is also normal to it eleven. viii. , and it is drawn from the given point. hence it is the required normal. |
but alas, we need only open our eyes to see the sovereign lord of all things, with a more full and clear view than we do any one of our fellow--creatures. |
socrates: and the vinegrower, if i am not mistaken, is a better judge of the sweetness or dryness of the vintage which is not yet gathered than the harp-player? |
discussion of the other views may be postponed. but this last theory which composes every body of planes is, as the most superficial observation shows, in many respects in plain contradiction with mathematics. |
and, therefore, when he was afterwards asked if he had left the athenians the best laws that could be given, he replied, "the best they could receive." |
next to the armenians are the matienians occupying this country here; and next to them is the land of kissia here, in which land by the banks of this river choaspes is situated that city of susa where the great king has his residence, and where the money |
assuming that in both cases alike the middle terms are known, and that middles which are prior are better known than such as are posterior, we may suppose two demonstrations of the inherence of a in e, the one proving it through the middles b, one hundred |
i know not whether or no he intended anything else by that saying; but for my part, one am of opinion that there is design, consent, and complacency in giving a man's self up to melancholy. |
so having received the minyai they gave them a share of land and distributed them in the tribes; and they forthwith made marriages, and gave in marriage to others the women whom they brought with them from lemnos. |
do not the words 'thou must not be', c., amount to saying that the stranger must not always be strange? here again is the use of one word in different senses. of the same kind also is the much-praised verse of anaxandrides: |
where is the modern people among whom consuming greed, unrest, intrigue, continual removals, and perpetual changes of fortune, could let such a system last for twenty years without turning the state upside down? |
no doubt the food, which has come in, may sometimes expand as well as the body that has consumed it (that is so, e.g. |
penalties for opinion, or at least for its expression, still exist by law; and their enforcement is not, even in these times, so unexampled as to make it at all incredible that they may some day be revived in full force. |
for the becoming of learning cannot be learning: so neither can the becoming of becoming be becoming, nor can the becoming of any process be that process. |
but as a matter of fact that which primarily moves itself cannot contain either a single part that moves itself or a number of parts each of which moves itself. |
and simonides never says that he praises him who does no evil voluntarily; the word 'voluntarily' applies to himself. |
complaints of his lust and cruelty, pelopidas began to be severe, and used him roughly, insomuch that the tyrant stole away privately with his guard. |
with these words he put heart and soul into them all, and they serried their companies yet more closely when they heard the words of their king. |
the same argument applies to all the 'elements', proving that there is no single one of them out of which they all originate. but neither is there, beside these four, some other body from which they originate-a something intermediate, e.g. |
hence the two triangles aob, dhe have the sides ao, ob in one respectively equal to the sides dh, he in the other, and the base ab is equal to de (hyp.). therefore i. viii. the angle aob is equal to dhe. hence the arc agb is equal to dke xxvi. |
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