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once concluded the armistice for a year, during which they were to confer together and see if a longer period could not be agreed upon. |
also that is better which is inherent in things better or prior or more honourable: thus (e.g.) health is better than strength and beauty: for the former is inherent in the moist and the dry, and the hot and the cold, in fact in all the primary |
self-control, but in comparison with the man who really has no self-control, he looks like one destitute of all perception: and the liberal man compared with the stingy seems prodigal, and by the side of the prodigal, stingy. |
the egestaeans now reminded the athenians of the alliance made in the time of laches, during the former leontine war, and begged them to send a fleet to their aid, and among a number of other considerations urged as a capital argument that if the |
and in this respect diogenes is right when he argues that 'unless all things were derived from one, reciprocal action and passion could not have occurred'. the hot thing, e.g. |
the reason is their reciprocal transformation. for, had each of them persisted in its own place instead of being transformed by its neighbour, they would have got dissevered long ago. |
it is necessary for him, then, to assume not only that 'being' has the same meaning, of whatever it is predicated, but further that it means (one) what just is and (two) what is just one. |
time is nothing but the form of our internal intuition. |
about the noontide hour, however, when the captain and his men were together again, they saw suddenly a man coming towards them through the air, and a voice said distinctly: "it is time! it is the highest time!" |
this was sheer idleness to my fellow-townsmen, no doubt; but if the birds and flowers had tried me by their standard, i should not have been found wanting. a man must find his occasions in himself, it is true. |
'in mind,' replied the priest, 'i mean to say that you are children; there is no opinion or tradition of knowledge among you which is white with age; and i will tell you why. |
still it is well to give the grounds alleged by either side which led to the dissolution of the treaty and the breaking out of the war. |
three. show that two circles can intersect each other only in one point on the same side of the line joining their centres, and hence that two circles cannot have more than two points of intersection. |
yet notwithstanding, as those that first bring honor into their family, are commonly more worthy than most that succeed, so the first precedent (if it be good) is seldom attained by imitation. |
but far within, and in their own dimensions like themselves, the great seraphic lords and cherubim in close recess and secret conclave sat, a thousand demi-gods on golden seats, frequent and full. |
a pestle and mortar will as soon bring any particle of matter to indivisibility, as the acutest thought of a mathematician; and a surveyor may as soon with his chain measure out infinite space, as a philosopher by the quickest flight of mind reach it or |
philo's proof.-let the equal bases be applied as in the foregoing proof, but let the vertices be on the opposite sides; then let bgc be the position which edf takes. join ag. then because bg ba, the angle bag bga. in like manner the angle cag cga. |
an objection may be made that there is no necessity for the sequence to take place, in the case of relative terms, in the way described: for the object of sensation is an object of knowledge, whereas sensation is not knowledge. |
so it is evident likewise that that that which has come to be, at the moment when it has come to be, will be, and that which has ceased to be will not-be: for what we have said applies universally to every kind of change, and its truth is most obvious in |
and we ought in time of peace from youth upwards to practise this habit of commanding others, and of being commanded by others; anarchy should have no place in the life of man or of the beasts who are subject to man. |
among yourselves debate this great affair, and save the sinking state." |
why is it, then, that there is on the whole a preponderance among mankind of rational opinions and rational conduct? |
the result we have reached is logically concordant with the eternity of circular motion, i.e. |
perceived, but in perceiving ideas and thinking. it is therefore necessary, in order to prevent equivocation and confounding natures perfectly disagreeing and unlike, that we distinguish between spirit and idea. see sect. twenty seven. |
(see english translation.) what effect the death of socrates produced on the mind of plato, we cannot certainly determine; nor can we say how he would or must have written under the circumstances. |
and of the former kind some can move itself in the particular way required, while other matter is incapable of this; for many things can be set in motion by themselves but not in some particular way, e.g. that of dancing. |
in like manner the angle ecb is equal to edb. hence the whole angle acb is equal to the whole angle adb. |
but agesilaus, whose good fortune it was to be born a younger brother, was consequently bred to all the arts of obedience, and so the better fitted for the government, when it fell to his share; hence it was that he proved the most popular-tempered of the |
fifty six. to this skill of nature, and this care of providence, so diligent and so ingenious, many reflections may be added, which show what valuable things the deity has bestowed on man. |
the third emotion is already beyond our control, because it overrides reason, and wishes to avenge itself, not if it be its duty, but whether or no. |
for the contradictory of each will at times be true of it unless it always exists. |
two hundred nine. as to how far the new warlike age on which we europeans have evidently entered may perhaps favour the growth of another and stronger kind of skepticism, i should like to express myself preliminarily merely by a parable, which the lovers |
so that which has changed must have been changing and that which is changing must have changed, and a process of change is preceded by a completion of change and a completion by a process: and we can never take any stage and say that it is absolutely the |
when they saw me the silly blubbering fellows began frisking round me as calves break out and gambol round their mothers, when they see them coming home to be milked after they have been feeding all day, and the homestead resounds with their lowing. |
passed at lacedaemon and with the advice given by cleobulus and xenares and the boeotian partisans there, namely, that they should become allies of corinth and argos as a preliminary to a junction with lacedaemon; fancying that, even if they should say |
i steal away from occasions of vexing myself, and turn from the knowledge of things that go amiss; and yet i cannot so order it, but that every hour i jostle against something or other that displeases me; and the tricks that they most conceal from me, are |
chap. eleven. the master said, 'to be poor without murmuring is difficult. to be rich without being proud is easy.' chap. twelve. |
and let them not come in multitudes, or in a tribunitious manner; for that is to clamor counsels, not to inform them. |
when he found the young men embraced the thing, he went to the magistrates and council of the city, and, having persuaded them also, he mustered all that could bear arms, and drew them up within the walls, that they might not be perceived by the enemy, |
unchangeable, but in a kind of rhetorical exercise of arguing on each side--a practice which he was accustomed to adopt, in order to be able to refute others who were asserting anything. |
that, too, is why all the other things-the things, i mean, which are reciprocally transformed in virtue of their 'passions' and their 'powers of action' e.g. the 'simple' bodiesimitate circular motion. |
it is placed similarly too if the premisses are not universal: for the middle term is determined in the same way. |
bd bc cd bc.four hundred iv. and ad ad . hence, adding, since i. xlvii. bd ad ab , and cd ad ca , we get |
socrates: tell me, then, and you will know, and let us suppose that i am beginning at the beginning: which of the two, polus, in your opinion, is the worst?-to do injustice or to suffer? |
not, surely, its voidness: for it is not the void only which is moved, but also the solid. |
the commanders, giving all for lost, were not able to put the citizens in any tolerable posture of defense, finding them confusedly mixed up and scattered among the enemy. |
prop. twenty two.-theorem. the sum of the opposite angles of a quadrilateral (abcd) inscribed in a circle is two right angles. |
old elements. happy is your son, marcia, in that he already knows this." |
also to a fertile field; in which logic is the fence which goes round it, ethics are the fruit, and natural philosophy the soil, or the fruit-trees. |
the milesians, however, who had been rejoiced before to be rid of aristagoras, were by no means eager to receive another despot into their land, seeing that they had tasted of liberty: and in fact histiaios, attempting to return to miletos by force and |
this entire compound he divided lengthways into two parts, which he joined to one another at the centre like the letter ten, and bent them into a circular form, connecting them with themselves and each other at the point opposite to their original |
these conditions are certitude and clearness . |
the excellent distinction of theaetetus (which socrates, speaking with emphasis, 'leaves to grow') between seeing the forms or hearing the sounds of words in a foreign language, and understanding the meaning of them; and d. |
accept what friendships he could find, and his schemes would have quickly been successful if he had made no mistakes in his other proceedings. |
these words made a great impression upon many of the tarentines, and a confused murmur went about, that he had spoken much to the purpose; but some who feared they should be sacrificed if a peace were made with the romans, reviled the whole assembly for |
"so, goddess," said he, "for all your sorrow, and the grief that i well know reigns ever in your heart, you have come hither to olympus, and i will tell you why i have sent for you. |
am vanquished by his generosity, and gratitude obliges me to disclose what no punishment could extort;" and assured him then, that three hundred romans, all of the same resolution, lurked about his camp, only waiting for an opportunity; he, by lot |
for when the motions of the antecedent swifter sounds begin to pause and the two are equalized, the slower sounds overtake the swifter and then propel them. |
if i have not the good luck to please, yet nobody ought to be offended with me. i plainly tell all my readers, except half a dozen, this treatise was not at first intended for them; and therefore they need not be at the trouble to be of that number. |
two. what are similar rectilineal figures? |
we must explain (i) wherein growth differs from coming-to-be and from 'alteration', and ii) what is the process of growing and the sprocess of diminishing in each and all of the things that grow and diminish. |
but it is absurd and impossible to suppose that the unknowable and indeterminate should contain and determine. |
for the sign is proper in the sense stated, because the affection is proper to the whole kind, though not proper to it alone, according to our usual manner of speaking. |
after the whole army had mustered, the lacedaemonian king, archidamus, the leader of the expedition, called together the generals of all the states and the principal persons and officers, and exhorted them as follows: |
we shoot with bows and hurl javelins and ride horses, but the works of women we never learnt; whereas your women do none of these things which we said, but stay in the waggons and work at the works of women, neither going out to the chase nor anywhither |
acharnae, the largest of the athenian demes or townships. sitting down before it, they formed a camp there, and continued their ravages for a long while. |
it is clear, then, that the earth must be at the centre and immovable, not only for the reasons already given, but also because heavy bodies forcibly thrown quite straight upward return to the point from which they started, even if they are thrown to an |
condensing the vapors and air, they turn them into that substance. |
decorum in ordinary friendships i am somewhat cold and shy in solitude, be company for thyself--tibullus in sorrow there is some mixture of pleasure in the meantime, their halves were begging at their doors in this last scene of death, there is no more |
the lacedaemonian commander, perceiving their weakness, wished to avoid taking the place by storm; his instructions from lacedaemon having been so conceived, in order that if at any future time peace should be made with athens, and they should agree each |
fifty four. the sum of the squares on the sides of a triangle is equal to twice the sum of the rectangles contained by each perpendicular and the portion of it comprised between the corresponding vertex and the orthocentre; also equal to r minus the sum |
this follows from the supposed juxtaposition of the worlds. for either we must refuse to admit the identical nature of the simple bodies in the various universes, or, admitting this, we must make the centre and the extremity one as suggested. |
socrates: and did not he train his son lysimachus better than any other athenian in all that could be done for him by the help of masters? but what has been the result? is he a bit better than any other mortal? |
eurypylus sprang upon him, and stripped the armour from his shoulders; but when alexandrus saw him, he aimed an arrow at him which struck him in the right thigh; the arrow broke, but the point that was left in the wound dragged on the thigh; he drew back, |
unless, as stein supposes, we have here a later addition thrown in without regard to the connexion. |
in the same way the being-in-motion will also be divisible. for let g be the whole being-in-motion. |
in air and water, the first being moist and hot, and the second moist and cold. |
again, since a thing that changes continuously and has not perished or ceased from its change must either be changing or have changed in any part of the time of its change, and since it cannot be changing in a moment, it follows that it must have changed |
difference of their radii, according as the contact with the second circle is of the first or second kind. |
thus what is cold is potentially hot: then a change takes place and it is fire, and it burns, unless something prevents and hinders it. so, too, with heavy and light: light is heavy, e.g. |
for seeing the businesse of a common-wealth is this, to preserve the people at home, and defend them against forraign invasion, we shall find, it requires great knowledge of the disposition of man-kind, of the rights of government, and of the nature of |
they are as follows:-seeing that there is no such thing as a vacuum into which any of those things which are moved can enter, and the breath is carried from us into the external air, the next point is, as will be clear to every one, that it does not go |
two. a ratio of lesser inequality is diminished by diminishing its terms by the same quantity, and increased by increasing its terms by the same quantity. |
it should argue, not from exceptional, but from ordinary phenomena. |
it has not, however, been observed, that the confusion partly arises out of the elements of opposing philosophies which are preserved in him. |
so much for one view of the distinction between light and heavy. to others the analysis seems insufficient; and their views on the subject, though they belong to an older generation than ours, have an air of novelty. |
dem.-if p be not the centre, let o be the centre. join op, and produce it to meet the circle in five hundred and e; then de is the diameter, and p is a point in it which is not the centre: therefore vii. |
now, as we have seen, magnitude is not actually infinite. but by division it is infinite. (there is no difficulty in refuting the theory of indivisible lines.) the alternative then remains that the infinite has a potential existence. |
as soon as he was informed that sylla had made himself master of rome, and that the party which sided with marius and carbo was going to destruction, he expected that some commander with a considerable army would speedily come against him, and therefore |
hence leucippus and democritus, who say that the primary bodies are in perpetual movement in the void or infinite, may be asked to explain the manner of their motion and the kind of movement which is natural to them. |
death some men, though not many, whom they thought it convenient to remove, and imprisoning and banishing others. |
tiberius then went down into the marketplace amongst the people, and made his addresses to them humbly and with tears in his eyes; and told them, he had just reason to suspect, that his adversaries would attempt in the night time to break open his house, |
service which he will, if elected, command. there is a general assembly, but its functions, except at elections, are hardly noticed. in the election of the boule, plato again attempts to mix aristocracy and democracy. |
but though this is so in the case of any individual thing that becomes, nevertheless before anything becomes, something else must be in motion, not itself becoming but being, and before this there must again be something else. |
find fault with their generals, who had not only let the lacedaemonians get off before, when they were so happily intercepted before argos, but who now again allowed them to run away, without any one pursuing them, and to escape at their leisure while the |
once, although the material remains of the body may last for a considerable time, until they are either decayed or burnt. |
that is also why the objects of sense are (one) pleasant when the sensible extremes such as acid or sweet or salt being pure and unmixed are brought into the proper ratio; then they are pleasant: and in general what is blended is more pleasant than the |
and what are these conceptions?--wisdom and virtue in general. and such creators are poets and all artists who are deserving of the name inventor. |
while an attribute may inhere in every triad, yet also in a subject not a triad-as being inheres in triad but also in subjects not numbers at all-odd on the other hand is an attribute inhering in every triad and of wider application (inhering as it does |
may we not claim for plato an anticipation of modern ideas as about some questions of astronomy and physics, so also about medicine? |
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