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consequently, whatsoever distribution he shall make in prejudice thereof, is contrary to the will of every subject, that committed his peace, and safety to his discretion, and conscience; and therefore by the will of every one of them, is to be reputed |
for in its later state it will possess the capacity of not existing, only not of not existing at a time when it exists-since then it exists in actuality-but of not existing last year or in the past. |
but it seems unlikely that man should be able to adjust that which the law cannot determine; it may be replied, that the law having laid down the best rules possible, leaves the adjustment and application of particulars to the discretion of the |
drove him away. and whenever he saw a woman beautifully adorned, he would go off to her house, and desire her husband to bring forth his horse and his arms; and then if he had such things, he would give him leave to indulge in luxury, for that he had the |
cor. nine.-in a right-angled parallelogram the diagonals are equal. |
they flew on by the tomb of old ilus, son of dardanus, in the middle of the plain, and past the place of the wild fig-tree making always for the city-the son of atreus still shouting, and with hands all bedrabbled in gore; but when they had reached the |
lastly, concerning how these invisible powers declare to men the things which shall hereafter come to passe, especially concerning their good or evill fortune in generall, or good or ill successe in any particular undertaking, men are naturally at a |
the ancient mythologers, and even the hebrew prophets, had spoken of the jealousy of god; and the greek had imagined that there was a nemesis always attending the prosperity of mortals. |
seventy eight. this man then fared thus badly by reason of foreign customs and communication with hellenes; and very many years afterwards skyles the son of ariapeithes suffered nearly the same fate as he. |
it is desirable further to take care that they do not bring forward some solitary or unusual decision when there have been many decisions given the other way. for by such means as this the authority of the decision alleged can be best invalidated. |
how much more safe and full of peace; denouncing wrath to come on their impenitence; and shall return of them derided, but of god observed the one just man alive; by his command shall build a wonderous ark, as thou beheldst, to save himself, and houshold, |
man. many also make cloaks to wear of the skins stripped off, sewing them together like shepherds' cloaks of skins; sixty six and many take the skin together with the finger-nails off the right hands of their enemies when they are dead, and make them into |
twenty seven. the four circles circumscribing the four triangles formed by any four lines pass through a common point. |
report came that the carians had made common cause with the ionians and were in revolt from the persians. he turned back therefore from the hellespont and marched his army upon caria. one hundred eighteen. |
'by nature' the animals and their parts exist, and the plants and the simple bodies (earth, fire, air, water)-for we say that these and the like exist 'by nature'. |
motion may likewise be said to have taken place in every other such period. but half the time finds an extreme in the point of division. |
of caius or fulvius, should, as a reward, receive its weight in gold. septimuleius, therefore, having fixed caius's head upon the top of his spear, came and presented it to opimius. |
after this he embraced the first opportunity that offered of again leading them against the enemy. |
the disjunctive judgement contains, therefore, the relation of the parts of the whole sphere of a cognition, since the sphere of each part is a complemental part of the sphere of the other, each contributing to form the sum total of the divided cognition. |
cor. one.-if one angle of a parallelogram be a right angle, all its angles are right angles. |
were whispered about, which never want appearance in so confused a mixture, no more than envious or idle heads. |
and soda, bitter. purgatives of a weaker sort are called salt and, having no bitterness, are rather agreeable. inflammatory bodies, which by their lightness are carried up into the head, cutting all that comes in their way, are termed pungent. |
if, on the one hand, coming-to-be is 'association', many impossible consequences result: and yet there are other arguments, not easy to unravel, which force the conclusion upon us that coming-to-be cannot possibly be anything else. |
blood and gorges himself upon her entrails-even so did king agamemnon son of atreus pursue the foe, ever slaughtering the hindmost as they fled pell-mell before him. |
and epicurus also speaks of nausiphanes in his letters, in the following terms: "these things led him on to such arrogance of mind, that he abused me and called me a schoolmaster." he used also to call him lungs, and blockhead, and humbug, and fornicator. |
he had persuaded the senate to make an order, that those who stood for offices, should themselves ask the people for their votes, and not solicit by others, nor take others about with them, to speak for them, in their canvass. |
he was left as a ward in the care of guardians up to his fourteenth year, and never passed out of that of his mother: when he had a household of his own he was loth to leave yours, and continued to dwell under his mother's roof, though few sons can endure |
i will refer to great examples taken not from my own but from your position. your great-grandfather augustus granted to marcus agrippa the calm repose of mitylene, to caius maecenas what was nearly equivalent to a foreign retreat in the capital itself. |
nineteen. if a secret piece of news is divulged by a spy before the time is ripe, he must be put to death together with the man to whom the secret was told. |
becoming in process of becoming. and this again was sometime in process of becoming, so that even then we should not have arrived at what was in process of simple becoming. |
from the genuinely-one, on the other hand, there never could have come-to-be a multiplicity, nor from the genuinely-many a "one": that is impossible. |
considering that without them and when isolated from them, these higher things for which we look cannot be apprehended or received or in any way shared by us. |
twenty four. if through the point of intersection of the diagonals of a cyclic quadrilateral the minimum chord be drawn, that point will bisect the part of the chord between the opposite sides of the quadrilateral. |
but with equal swiftness; the remaining four, moon, saturn, mars, jupiter, with unequal swiftness to the former three and to one another. |
as he spoke he drew his rags aside from the great scar, and when they had examined it thoroughly, they both of them wept about ulysses, threw their arms round him, and kissed his head and shoulders, while ulysses kissed their hands and faces in return. |
of the political class there is the republic, the laws, the minos, the epinomis, and the atlanticus. of the midwife description we have the two alcibiades's, the theages, the lysis, the laches. |
this seneca avoided through the freedman's disclosure, or his own apprehension, while he used to support life on the very simple diet of wild fruits, with water from a running stream when thirst prompted. |
but the impossibility of infinite weight can be shown in the following way. |
for all advice to do things or not to do them is concerned with happiness and with the things that make for or against it; whatever creates or increases happiness or some part of happiness, we ought to do; whatever destroys or hampers happiness, or gives |
socrates: and it has been proved to be true? |
who knows but that god will have it happen, as in human bodies that purge and restore themselves to a better state by long and grievous maladies, which render them more entire and perfect health than that they took from them? |
'one', then, has all these meanings-the naturally continuous and the whole, and the individual and the universal. and all these are one because in some cases the movement, in others the thought or the definition is indivisible. |
not to lose his labor. and when he had conversed with him, and succeeded in persuading him out of his former resolutions, he returned and brought him to the camp, as joyful and as proud of this victory as if he had done some heroic exploit, greater than |
again it is absurd to look for a reason why the earth remains at the centre and not for a reason why fire remains at the extremity. if the extremity is the natural place of fire, clearly earth must also have a natural place. |
five. the difference between the square on one of the equal sides of an isosceles triangle, and the square on any line drawn from the vertex to a point in the base, is equal to the rectangle contained by the segments of the base. |
then here is a new way by which we arrive at the conclusion that the living come from the dead, just as the dead come from the living; and this, if true, affords a most certain proof that the souls of the dead exist in some place out of which they come |
a city composed of such men must therefore consist of slaves and masters, not freemen; where one party must hate, and the other despise, where there could be no possibility of friendship or political community: for community supposes affection; for we do |
one hundred fifty nine. hearing this syagros could not contain himself but spoke these words: "deeply, i trow, would agamemnon son of pelops lament, one hundred forty nine if he heard that the spartans had had the leadership taken away from them by gelon |
but suppose a person should say, things pleasant and honourable exert a compulsive force (for that they are external and do compel); at that rate every action is on compulsion, because these are universal motives of action. |
but what can be more elegant than this, which is not caused by nature, but by some regular usage?--we say inclytus , with the first letter short; insanus , with the first letter long; inkumanus , with a short letter; infelix , with a long one: and, not to |
upon their approach to the town so to retreat as to draw the enemy into the ambush. poplicola, however, soon advertised of these designs by deserters, disposed his forces to their respective charges. |
for, while yet inconstant fortune poured her gifts and all was bright, death's dark hour had all but whelmed me in the gloom of endless night. |
sensibility in general is the healthy fellowship of the individual mind in the life of its bodily part. the senses form the simple system of corporeity specified. |
yet some hold it impossible to know the differentiae distinguishing each thing from every single other thing without knowing every single other thing; and one cannot, they say, know each thing without knowing its differentiae, since everything is |
the 'diatonic' scale of the pythagoreans and plato suggested to kepler that the secret of the distances of the planets from one another was to be found in mathematical proportions. |
probably plato notices this as the only remaining regular polyhedron, which from its approximation to a globe, and possibly because, as plutarch remarks, it is composed of twelve x thirty three hundred sixty scalene triangles (platon. |
hence it was natural for plato to conceive of it as eternal. we must remember further that in his attempt to realize either space or matter the two abstract ideas of weight and extension, which are familiar to us, had never passed before his mind. |
for, however ingenious he is in supplying unjust acts and wicked conduct with fair and worthy motives, and in selecting decorous and honorable terms, yet when he does his best, he does not himself stand clear of the charge of being the greatest lover of |
his head, looking upon the fight for his pleasure; but in such a strait will attempt all things; he will be resolute, and appear himself in person upon all occasions, he will soon correct his errors, and supply what he has formerly omitted through |
we may apply an alien term, and then deny of that term one of its proper attributes; as if we were to call the shield, not 'the cup of ares,' but 'the wineless cup.' |
when the thinkers of modern times, following bacon, undervalue or disparage the speculations of ancient philosophers, they seem wholly to forget the conditions of the world and of the human mind, under which they carried on their investigations. |
at the first proposal, she was very averse, and strongly advised her son not to engage in so difficult and so unprofitable an enterprise. |
some say that what originates movement is both pre-eminently and primarily soul; believing that what is not itself moved cannot originate movement in another, they arrived at the view that soul belongs to the class of things in movement. |
nothing grows in the process; unless indeed there be something common to both things (to that which is coming-to-be and to that which passed-away), e.g. 'body', and this grows. |
but socrates appears to me to have also discussed occasionally subjects of natural philosophy, since he very often disputes about prudence and foresight, as xenophon tells us; although he at the same time asserts that all his conversations were about |
we have now to examine first sovereignty and then the general will, which is ultimately rousseau's guiding conception. |
and you, o conscript fathers, if you abandon and betray marcus brutus, what citizen in the world will you ever distinguish? whom will you ever favour? |
pleasure and pain are the most important of the affections common to the whole body. |
in like manner the sectors cog, goh are equal. hence there are as many equal sectors as there are equal arcs; therefore the arc bh and the sector boh are equimultiples of the arc bc and the sector boc. |
of the same sort, which i can call nothing but the whinings of a queasy spirit. these matters chiefly affect the luxuriously-nurtured and prosperous; for those who are pressed by worse evils have no time to notice such things as these. |
accomplishment of his work, but himself contriving the good in all his creations. |
cor. six.-if both diagonals of a quadrilateral bisect the quadrilateral, it is a parallelogram. |
for nobility attempers sovereignty, and draws the eyes of the people, somewhat aside from the line royal. but for democracies, they need it not; and they are commonly more quiet, and less subject to sedition, than where there are stirps of nobles. |
these make choice of particular skins, which they variegate with spots, and strips of the furs of marine animals, one hundred two the produce of the exterior ocean, and seas to us unknown. |
but although his demonstrations are abandoned, his propositions are quoted by every writer, and his nomenclature is universally adopted. |
by their means we can approximate as nearly as we please to the exact value of the ratio. in the case of the diagonal and the side of a square, the following are the pairs of convergents:- |
it is in this sense also that multiples are so called. for each number is said to be many because it consists of ones and because each number is measurable by one; and it is 'many' as that which is opposed to one, not to the few. |
and if any one affirms that in which these two are found to be other than the soul, he will say the very opposite of the truth. |
hold from nature as being men, their parents have no right whatever to deprive them of it. as then, to establish slavery, it was necessary to do violence to nature, so, in order to perpetuate such a right, nature would have to be changed. |
ten. bisect a given triangle by a right line drawn from a given point in one of the sides. |
harmonious thoughts or hymn virtue's praises. |
critias: i will tell an old-world story which i heard from an aged man; for critias, at the time of telling it, was, as he said, nearly ninety years of age, and i was about ten. |
but if the material of each of these objects has itself the same relation to something else, say bronze (or gold) to water, bones (or wood) to earth and so on, that (they say) would be their nature and essence. |
(one) the law of gravitation, according to plato, is a law, not only of the attraction of lesser bodies to larger ones, but of similar bodies to similar, having a magnetic power as well as a principle of gravitation. |
melissus, indeed, infers from these considerations that the all is immovable; for if it were moved there must, he says, be void, but void is not among the things that exist. |
however, it costs me no effort to concede that our roman sciences were not imported from beyond the seas, but that they sprung from our own indigenous and domestic virtues. |
i can give no other reason but that one am taught so by nature . |
five. nor were they less ingenious in calling the state of the soul devoid of the light of the mind, "a being out of one's mind," "a being beside one's self." |
and its newer triangles cut them up, and so the animal grows great, being nourished by a multitude of similar particles. |
the hand strikes. we have, then, the following factors: (a) on the one hand that which directly causes motion, and (b) on the other hand that which is in motion: further, we have (c) that in which motion takes place, namely time, and (distinct from these |
in space), grasping existence in some way or other, or it could not be at all. but true and exact reason, vindicating the nature of true being, maintains that while two things (i.e. |
let us take this as our starting-point. all natural bodies and magnitudes we hold to be, as such, capable of locomotion; for nature, we say, is their principle of movement. |
under-task-masters, will abhor the memory of such servile flatterers, who, whilst it seemed to serve their turn, resolved all government into absolute tyranny, and would have all men born to, what their mean souls fitted them for, slavery. |
it is not easy to determine how plato's cosmos may be presented to the reader in a clearer and shorter form; or how we may supply a thread of connexion to his ideas without giving greater consistency to them than they possessed in his mind, or adding on |
numbers, while contact is not. and if there is continuity there is necessarily contact, but if there is contact, that alone does not imply continuity: for the extremities of things may be 'together' without necessarily being one: but they cannot be one |
unless upon extreme and sudden emotions which i have fallen into twice or thrice in my life, and once seeing my father in perfect health fall upon me in a swoon, i have always uttered from the bottom of my heart my first words in latin; nature deafened, |
thus did the sea give a stone to the hungry one. and they themselves may well originate from the sea. |
god or of mind, and the immortality of the soul. all religions and philosophies met and mingled in the schools of alexandria, and the neo-platonists had a method of interpretation which could elicit any meaning out of any words. |
all the consequences which i drew before, callicles, and about which you asked me whether i was in earnest when i said that a man ought to accuse himself and his son and his friend if he did anything wrong, and that to this end he should use his |
those that guarded the walls had no sooner given notice that the volscians were dislodged and drawn off, but they set open all their temples in a moment, and began to crown themselves with garlands and prepare for sacrifice, as they were wont to do upon |
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