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pompey now having ordered all things, and established that province, took his journey homewards in greater pomp and with more festivity. |
nay, of my own inclination, i pay more service to the dead; they can no longer help themselves, and therefore, methinks, the more require my assistance: 'tis there that gratitude appears in its full lustre. |
itself in motion, or it is not accidental but an essential attribute. let us consider the former alternative. |
easy way of dying, i should find out another, how painful soever." |
isocrates, on the other hand, censures them for awarding distinctions to fine athletes but giving no prize for intellectual ability. |
accident:-when the river had come down in flood rising to a height of eighteen cubits, higher than ever before that time, and had gone over the fields, a wind fell upon it and the river became agitated by waves: and this king (they say) moved by |
within the compass of true moderation and sobriety in either estate, is proper to a man, who hath a perfect and invincible soul; such as he showed himself in the sickness of maximus. |
sesostris the egyptian; for sesostris had subdued other nations besides, not fewer than he, and also the scythians; but dareios had not been able to conquer the scythians: wherefore it was not just that he should set up a statue in front of those which |
their own walls. it was alcibiades alone, or, at least, principally, who prevented all this mischief; for he not only used persuasion to the whole army, and showed them the danger, but applied himself to them, one by one, entreating some, and constraining |
by omitting the letters enclosed in parentheses we have the general enunciation, and by reading them, the particular. the annotations will be printed in smaller type. the following symbols will be used in them:- |
nine. three times the sum of the squares on the sides of any pentagon exceeds the sum of the squares on its diagonals, by four times the sum of the squares on the lines joining the middle points of the diagonals. |
similarly, 'musical' comes to be from 'not-musical', but not from any thing other than musical, but from 'unmusical' or any intermediate state there may be. |
and altogether, he was such as melanthius, the painter, describes in his treatise on painting; for he says that some kind of obstinacy and harshness ought to exist in works of art as in morals. |
it may happen, too, that in the frankness of my story i must go further than is agreeable to the strict usages of your ears? certainly the god in question went further, very much further, in such dialogues, and was always many paces ahead of me... |
by vii., square on difference sum of squares-twice rectangle. |
we have given the foregoing definitions in the order of euclid, as given by simson, lardner, and others;two except that viii. is put before vii., because it relates, as v. and vi., to the equality of ratios, whereas vii. is a test of their inequality. |
in like manner, ten and fifteen are equimultiples of two and three, and eighteen and thirty of three and five, c. |
none shall overcome me, neither by force nor cunning, for i was born and bred in salamis, and can hold my own in all things." |
that the cube root of sixty four is equal to the half of ten, is a false proposition, and can never be distinctly conceived. |
fifteen. on be, a part of the side bc of a square abcd, is described the square befg, having its side bg in the continuation of ab; it is required to divide the figure agfecd into three parts which will form a square. |
institutions was continued under each successive king. but we are now arrived at the reign of a monarch who appears to me to have been of all our kings he who had the greatest foresight in matters of political government. |
ridiculing the school of isocrates, he would add, that his scholars grew old men before they had done learning with him, as if they were to use their art and plead causes in the court of minos in the next world. |
twenty five. if lines be drawn from the extremities of the base of a triangle to the feet of perpendiculars let fall from the same points on either bisector of the vertical angle, these lines meet on the other bisector of the vertical angle. |
if on the other hand it has the source of its motion in itself, let ab be taken to represent that which is in motion essentially of itself and not in virtue of the fact that something belonging to it is in motion. |
proportion is equal to the third; therefore five. xiv. the second term ab is equal to the fourth ab, and, being parallel to it, the lines aa, bb i. xxxiii. are parallel. |
from a given point (one hundred) in a given right line (ab) to draw a right line perpendicular to the given line. |
over and over again xenophon would send an order to the front to slacken pace, when the enemy were pressing their attack severely. |
in proof of which, i remember a marvellous example of antiquity. |
"thou saidst the truth, zarathustra. i trust myself no longer since one sought to rise into the height, and nobody trusteth me any longer; how doth that happen? |
but if this is what the good man ought to effect for the benefit of his own state, allow me to recall to you the names of those whom you were just now mentioning, pericles, and cimon, and miltiades, and themistocles, and ask whether you still think that |
definable form-one hundred's definable form will appear in the middle term before the conclusion is drawn. |
seventeen. another line is the argument that if two results are the same their antecedents are also the same. |
the master said, 'when a man is not in the habit of saying-- "what shall i think of this? what shall i think of this?" i can indeed do nothing with him!' chap. sixteen. |
if on the other hand it is in motion in only one of the two parts of the time, chrh cannot be the primary time in which it is in motion: for its motion will have reference to a time other than chrh. it must, then, have been in motion in any part of chrh. |
further, it is inconceivable that a movable body should be eternal, if its movement cannot be regarded as naturally eternal: and these bodies we know to possess movement. thus we see that generation is necessarily involved. |
since what is 'in time' is so in the same sense as what is in number is so, a time greater than everything in time can be found. |
and when the men do not hang their cooking-pots over the camp-fires, showing that they will not return to their tents, you may know that they are determined to fight to the death. |
there is a further difficulty in explaining this part of the timaeus-the natural order of thought is inverted. we begin with the most abstract, and proceed from the abstract to the concrete. |
(seven) it can also be shown, conversely, that if the time of revolution is finite, the area traversed must also be finite; but the area traversed was equal to itself; therefore, it is itself finite. |
this was nero's reason for himself undertaking the trial, and having convicted veiento, he banished him from italy, and ordered the burning of his books, which, while it was dangerous to procure them, were anxiously sought and much read. |
for the schooles find in meere appetite to go, or move, no actuall motion at all: but because some motion they must acknowledge, they call it metaphoricall motion; which is but an absurd speech; for though words may be called metaphoricall; bodies, and |
guilty of theft, but not that he is guilty of 'sacrilege', the object stolen not being consecrated; that he has encroached, but not that he has 'encroached on state lands'; that he has been in communication with the enemy, but not that he has been guilty |
to punctuate heracleitus is no easy task, because we often cannot tell whether a particular word belongs to what precedes or what follows it. |
their intent; and herein consists the difference between a good constitution and a bad. |
fifty four. what manner of men they be whom they seek to please, and what to get, and by what actions: how soon time will cover and bury all things, and how many it hath already buried! |
the doctor and the expert are causes of health, the relation two:one and number of the octave), and always what is inclusive to what is particular. another mode of causation is the incidental and its genera, e.g. |
assumptions which, though appropriate to the science in question, are not true; for he effects his mis-reasoning either by describing the semicircles wrongly or by drawing certain lines in a way in which they could not be drawn. |
from all this it is clear that the theory that the movement of the stars produces a harmony, i.e. that the sounds they make are concordant, in spite of the grace and originality with which it has been stated, is nevertheless untrue. |
of speaking and treating of things, but supporting it with graces which never fail them. |
works, and of whom i am the artificer and father, my creations are indissoluble, if so i will. all that is bound may be undone, but only an evil being would wish to undo that which is harmonious and happy. |
but that which brought upon him the most apparent and mortal hatred, was his desire of being king; which gave the common people the first occasion to quarrel with him, and proved the most specious pretense to those who had been his secret enemies all |
bodies, follows on that of earth; and earth is required because eternal movement in one body necessitates eternal rest in another. |
of the causes of day and night the pre-socratic philosophers, and especially the pythagoreans, gave various accounts, and therefore the question can hardly be imagined to have escaped him. |
through the eyes of others. to put both on an equality in this respect, the talents, strength, and all the faculties of the father would have to increase in proportion to the size of his family, and the soul of a powerful monarch would have to be, to that |
one shall contend and do battle with you so far, that how obliging soever you are, you shall not have the better of me." |
chang yu tells us that in ancient times it was customary for a temple to be set apart for the use of a general who was about to take the field, in order that he might there elaborate his plan of campaign. |
penetrating according to their rarity, and thus all the elements are on their way up and down everywhere and always into their own places. hence there is a principle of inequality, and therefore of motion, in all time. |
when he went all unattended as envoy to the city of thebes among the cadmeans, i bade him feast in their houses and be at peace; but with that high spirit which was ever present with him, he challenged the youth of the cadmeans, and at once beat them in |
ma- nb is greater than mc- nd; therefore a b is greater than c d; that is, the ratio a : b is greater than the ratio c : d. |
necessarily be driven aside from that point by the stronger which alone in this way reach it i had expounded all these matters with sufficient minuteness in the treatise which i formerly thought of publishing. |
considerably too, is plain from what has been said. |
when this was known to publius vellaeus who commanded the nearest army, he sent some allied cavalry and light infantry to attack those who were roaming in quest of plunder or of reinforcements, while he marched in person with the main strength of the foot |
that expedition with which vices are removed. |
i should reply, 'you certainly heard that said, but not, as you imagine, by me; for i only asked the question; protagoras gave the answer.' and suppose that he turned to you and said, 'is this true, protagoras? |
consequently, everything that is in motion must be moved by something: for that which is in motion will always be divisible, and if a part of it is not in motion the whole must be at rest. |
endured. at his coming i was exceeding afraid; but he having spied me hid in the comer of his den, came gently to me, holding out and showing me his wounded foot, as if he demanded my assistance in his distress. |
let us always have this saying of plato in our mouths: "do not i think things unsound, because i am not sound in myself? am i not myself in fault? |
in both cases, however, the end in view is to get rid of wicked people, and to give comfort and relief to the good.... |
the end of war is peace, of labour, rest; but those virtues whose object is rest, and those also whose object is labour, are necessary for a liberal life and rest; for we want a supply of many necessary things that we may be at rest. |
lu had been thrice defeated by ch'i, and was just about to conclude a treaty surrendering a large slice of territory, when ts'ao kuei suddenly seized huan kung, the duke of ch'i, as he stood on the altar steps and held a dagger against his chest. |
further, there can be no doubt that a work is spoilt when not done at the right time? |
on all these grounds, therefore, we may infer with confidence that there is something beyond the bodies that are about us on this earth, different and separate from them; and that the superior glory of its nature is proportionate to its distance from this |
similar transformation-not only then, but also now-if, and because, they change their qualities. |
but suppose, says socrates, that the ruler or stronger makes a mistake-then the interest of the stronger is not his interest. |
all rational creatures; yet men being biassed by their interest, as well as ignorant for want of study of it, are not apt to allow of it as a law binding to them in the application of it to their particular cases. |
"qui, ut rationem nullam afferrent, ipsa auctoritate me frangerent." |
'presently', because the time in which he is going to do so is near), and to the part of past time which is not far from the 'now' ('when do you walk?' 'i have just been walking'). |
temples. the language of men proves this-our 'gracious' and 'blessed' tyrant and the like-all which tends to show (one) that justice is the interest of the stronger; and (two) that injustice is more profitable and also stronger than justice.' |
nothing great has been and nothing great can be accomplished without passion. it is only a dead, too often, indeed, a hypocritical moralising which inveighs against the form of passion as such. |
fire. the lacedemonians seeing this sent a messenger to inquire who they were and from whence; and they answered the question of the messenger saying that they were minyai and children of heroes who sailed in the argo, for one hundred twenty eight these, |
in consequence of these habits of theirs they had their front-legs and their heads resting upon the earth to which they were drawn by natural affinity; and the crowns of their heads were elongated and of all sorts of shapes, into which the courses of the |
about the thighs and arms, which have no sense because there is little soul in the marrow, and about the inner bones, he laid the flesh thicker. |
therefore, before this first change there will be a previous change. |
unity is required in respect of time in order that there may be no interval of immobility, for where there is intermission of motion there must be rest, and a motion that includes intervals of rest will be not one but many, so that a motion that is |
yielded to the solicitations of the women, and, without establishing peace, threw up the favorable chances of war. |
nor the leucanians that of gracchus. but are any of these miserable now? nay, they were not so even at the first moment after they had breathed their last; nor can any one be miserable after he has lost all sensation. |
in your love be your honour! little doth woman understand otherwise about honour. but let this be your honour: always to love more than ye are loved, and never be the second. |
but representations are not merely in opposition,-impinging and resisting. the same reason which makes them resist, viz. |
the world has received animals, mortal and immortal, and is fulfilled with them, and has become a visible animal containing the visible-the sensible god who is the image of the intellectual, the greatest, best, fairest, most perfect-the one only-begotten |
for if a thing-itself and each of its parts-occupies the same space for a definite period of time, it is at rest: for it is in just these circumstances that we use the term 'being at rest'-when at one moment after another it can be said with truth that a |
further, anaxagoras held that any part is a mixture in the same way as the all, on the ground of the observed fact that anything comes out of anything. for it is probably for this reason that he maintains that once upon a time all things were together. |
laid her in a deep slumber. when the god had accomplished the deed of love, he took her hand in his own and said, 'tyro, rejoice in all good will; the embraces of the gods are not fruitless, and you will have fine twins about this time twelve months. |
one hundred eleven pro mesogaian tamnon tes odou : cp. iv. twelve and ix. eighty nine. |
know they are most conspicuous in considering what is agreeable honourable, and what is expedient just. such a way of thinking does not promise much for the safety which you now unreasonably count upon. |
it is evident that a fraction is an abstract quantity-that is, that its value is independent of the nature of the integer which is divided. |
to draw a normal to a given plane from a given point (a) in the plane. |
to us they are not always the same but change with the direction in which we are turned: that is why the same thing may be both right and left, up and down, before and behind. but in nature each is distinct, taken apart by itself. |
successively. (he is only half-an-hour on the road.) |
one. what is the subject-matter of book four.? |
mindarus and pharnabazus, coming to their succor, were utterly defeated. mindarus was slain upon the place, fighting valiantly; pharnabazus saved himself by flight. |
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