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they then took two princes with their chariot, the two sons of merops of percote, who excelled all others in the arts of divination. he had forbidden his sons to go to the war, but they would not obey him, for fate lured them to their fall. |
one hundred two he was once reproached by some one for not attending the lectures of ariston, who was drawing a great crowd after him at the time; and he replied, "if i had attended to the multitude i should not have been a philosopher." |
first, does it belong to the class of things that exist or to that of things that do not exist? then secondly, what is its nature? |
thereupon they began running, rearguard and all, and the baggage twenty four animals and horses came galloping up. |
he might be compared to a builder engaged in some great design, who could only dig with his hands because he was unprovided with common tools; or to some poet or musician, like tynnichus (ion), obliged to accommodate his lyric raptures to the limits of |
to teach will be the same as to learn, and to act the same as to be acted on-the teacher will necessarily be learning everything that he teaches, and the agent will be acted on. one may reply: |
or a : c :: a : b -that is, st : rd :: square of st : square of nd. now, the ratio of st : rd is, by def. x., the duplicate ratio of st : nd. |
a temple is certainly built to his honor on the mount called from him quirinalis. |
now the universe is certainly a particular and a material thing: if however, it is composed not of a part but of the whole of matter, then though the being of 'universe' and of 'this universe' are still distinct, yet there is no other universe, and no |
which words of the future, are called promise. |
with the single will of one man. in the great battle, which they fought with the aetolians and eleans by the river larissus, he set them an example himself. damophantus, general of the elean horse, singled out philopoemen, and rode with full speed at him. |
there is, further, the absurdity that nature has bestowed upon them no organ appropriate to such movement. for nature leaves nothing to chance, and would not, while caring for animals, overlook things so precious. |
to such a request i should reply that i would fain ask the same of my own legs; but they refuse to comply. |
the principles therefore are, in a way, not more in number than the contraries, but as it were two, nor yet precisely two, since there is a difference of essential nature, but three. |
on the other hand, when we do perceive a 'before' and an 'after', then we say that there is time. for time is just this-number of motion in respect of 'before' and 'after'. |
five. find a point in a given line such that, if it be joined to two given points on opposite sides of the line, the angle formed by the joining lines shall be bisected by the given line. |
for in whatever circumstances it can happen by any possibility that while we are consulting our safety, that slight diminution of honesty which is caused by our conduct may be hereafter repaired by virtue and industry, then it seems proper to have a |
moreover, his monument is to be seen at phalerum, which they say was built him by the city, he not having left enough even to defray funeral charges. |
seventy two to lego : the mss. have ton lego , "each of the things about which i speak being best in its own kind." the reading to logo , which certainly gives a more satisfactory meaning, is found in stobus, who quotes the passage. |
(this flesh and this bone were together, and so of any thing: therefore all things: and at the same time too.) for there is a beginning of separation, not only for each thing, but for all. |
and the use of the same faculties, should also be equal one amongst another without subordination or subjection, unless the lord and master of them all should, by any manifest declaration of his will, set one above another, and confer on him, by an |
the acquisition but the security of liberty, show at the very first onset what men caledonia has reserved for her defence? |
used to show his scholars good and bad performers on the flute, and to tell them, "you should play like this man," and "you should not play like that," and as antigenidas used to say, young people would take greater pleasure in hearing good playing, if |
but he, with more reflection, forbore to notice the desertion, and continued all his former courtesies, feeling that the army was wearied out, and in want of all manner of necessaries. |
by something else belonging to it. for let ag be divisible, and let it be divided at b. if then the completion of change has been effected in ab or again in bg, ag cannot be the primary thing in which the completion of change has been effected. |
therefore five. a. the figure described on the line ab is equal to the sum of the similar figures described on the lines ac and bc. |
for those things are natural which, by a continuous movement originated from an internal principle, arrive at some completion: the same completion is not reached from every principle; nor any chance completion, but always the tendency in each is towards |
eighteen. the sum of the perpendiculars let fall from the angular points of a regular polygon of n sides on any line is equal to n times the perpendicular from the centre of the polygon on the same line. |
the step has involved some price: and that price is, that it has attained independence and self-hood at the cost of surrendering the content it had hitherto held in one with itself. |
in condemning me to it, they efface the gratification of the action, and deprive me of the gratitude that would be my due for it; whereas the active well-doing ought to be of so much the greater value from my hands, by how much i have never been passive |
but all these things may be comprehended in three divisions, for there are three objects which a tyranny has in view; one of which is, that the citizens should be of poor abject dispositions; for such men never propose to conspire against any one. |
but the inquiry whence it has originated, is when an inquiry is such as this, "whether virtue is implanted by nature, or whether it can be engendered by instruction." |
these may still be seen on the tablets of brass set up in the squares and temples, on which new statutes are published. |
sol.-let it be required, for instance, to cut off the fourth part. draw af, making any angle with ab, and in af take any point one hundred, and cut off (i. iii.) the parts four hundred, de, ef each equal to ac. join bf, and draw cg parallel to bf. |
of all the opinions we have enumerated, by far the most unreasonable is that which declares the soul to be a self-moving number; it involves in the first place all the impossibilities which follow from regarding the soul as moved, and in the second |
five. given the sum or the difference of two lines and the difference of their squares; find the lines. |
fifty three. if squares be described on the sides of any triangle, the lines of connexion of the adjacent corners are respectively-(one) the doubles of the medians of the triangle; (two) perpendicular to them. |
that the more he had obtained, the more precarious was his position. |
one hundred seventy one. on this lake they perform by night the show of his sufferings, and this the egyptians call mysteries. |
three. describe a circle passing through a given point, having its centre on a given line and touching a given circle. |
two. if two figures be directly similar, and in the same plane, there is in the plane a special point which, regarded as belonging to either figure, is its own homologous point with respect to the other. |
one have been thrilled to think that i owed a mental perception to the commonly gross sense of taste, that i have been inspired through the palate, that some berries which i had eaten on a hill-side had fed my genius. |
here, too, there was a store of fragrant olive oil, while casks of old, well-ripened wine, unblended and fit for a god to drink, were ranged against the wall in case ulysses should come home again after all. |
la lumiere commune, fifty'oil du monde; et si dieu au chef porte des yeux, les rayons du soleil sont ses yeulx radieux, qui donnent vie a touts, nous maintiennent et gardent, et les faictsdes humains en ce monde regardent: ce beau, ce grand soleil qui |
heraclides of tarsus, indeed, the friend of antipater, of tarsus, and athenodorus, both assert that offences are not equal. |
one can have several demonstrations of the same connexion not only by taking from the same series of predication middles which are other than the immediately cohering term e.g. |
it is desirable, therefore, to interpret all written laws with reference to that cause for the sake of which it is desirable that the laws should be preserved. |
juturna saw th' advancing troops appear, and heard the hostile sound, and fled for fear. aeneas leads; and draws a sweeping train, clos'd in their ranks, and pouring on the plain. |
friends and strangers alike, only becoming more violent the more they indulge their passions. |
ar. the free souls under my roof without a doubt. |
the 'paradoxes,' as morgenstern terms them, of this book of the republic will be reserved for another place; a few remarks on the style, and some explanations of difficulties, may be briefly added. |
every armament was most terrible at first; if it allowed time to run on without showing itself, men's courage revived, and they saw it appear at last almost with indifference. |
six. of the four points o, o, o, o, any one is the orthocentre of the triangle formed by the remaining three. |
upon domitius and cato. then at the assembly held for assigning the provinces, many were wounded and four actually killed, and he himself, which i had omitted in the narrative of his life, struck with his fist one lucius analius, a senator, for |
it one without qualification: to effect this, that in which the motion takes place (the species) must be one and incapable of subdivision, that during which it takes place (the time) must be one and unintermittent, and that which is in motion must be |
the natural way of doing this is to start from the things which are more knowable and obvious to us and proceed towards those which are clearer and more knowable by nature; for the same things are not 'knowable relatively to us' and 'knowable' without |
then that one of them who was standing last in order, namely psammetichos, since he had no cup took off from his head his helmet, which was of bronze, and having held it out to receive the wine he proceeded to make libation: likewise all the other kings |
it can be in motion only in so far as the body or the magnitude is in motion and the partless is in motion by inclusion therein, just as that which is in a boat may be in motion in consequence of the locomotion of the boat, or a part may be in motion in |
chap. three. one. the master said, 'the linen cap is that prescribed by the rules of ceremony, but now a silk one is worn. it is economical, and i follow the common practice. two. |
and in that way it is shown by comparison how much more atrocious and scandalous is the action which is the present subject of discussion. |
even among the common people it created a wonderful change of feeling; every one now cheered and encouraged his neighbor, and set himself to the work, proceeding in it, however, not by any regular lines or divisions, but every one pitching upon that plot |
how far happier is he who is indebted to no man for anything except for what he can deprive himself of with the greatest ease! |
all this theory of mental progress from the animate soul to the fullness of religion and science deals solely with the universal process of education: "the education of humanity" we may call it: the way in which mind is made true and real(forty six). |
like man, he must have a purpose; and his purpose is the diffusion of that goodness or good which he himself is. |
suicidal to the victors; but education is never suicidal. |
but the first of these alternatives is impossible. for since what comes-to-be out of this incorporeal and sizeless something will always be 'somewhere', it too must be 'somewhere'-either intrinsically or indirectly. |
prop. one. no positive quality possessed by a false idea is removed by the presence of what is true, in virtue of its being true. |
was created, that he had thought of everything which might happen on the death of his father, and provided against everything, except that he had never thought that at his father's death he would be dying himself. |
when king agamemnon heard this he dismissed the people to their ships, but those who were about the dead heaped up wood and built a pyre a hundred feet this way and that; then they laid the dead all sorrowfully upon the top of it. |
(at same time it is evident that there is no other kind of motion but combination and separation: for they may all be apportioned to one or other of those already mentioned.) again, inhaling is a form of pulling, exhaling a form of pushing: and the same |
and certainly it is the nature of extreme self-lovers, as they will set an house on fire, and it were but to roast their eggs; and yet these men many times hold credit with their masters, because their study is but to please them, and profit themselves; |
timaeus: nothing, socrates; it was just as you have said. |
dem.-join co, and produce it to e. then because oa is equal to oc, the angle aco is equal to oac; but the angle aoe is equal to the sum of the two angles oac, aco. hence the angle aoe is double the angle aco. |
alcibiades); and endius and his colleagues thus persuaded, he put to sea with the five ships and the lacedaemonian chalcideus, and made all haste upon the voyage. |
but that which is moved by something that, though it is in motion, is moved directly by the unmoved stands in varying relations to the things that it moves, so that the motion that it causes will not be always the same: by reason of the fact that it |
next to things that are in motion unnaturally those whose motion while natural is derived from themselves-e.g. |
the same to be not always one and the same. (i mean that e.g. |
moreover cyrus's behaviour towards all who came to him from the king's court was such that, when he sent them away again, they were better friends to himself than to five the king his brother. |
were so small. all their time, except when they were in the field, was taken up by the choral dances and the festivals, in hunting, and in attendance on the exercise-grounds and the places of public conversation. |
there can be no reward so fitting as maintenance in the prytaneum, o men of athens, a reward which he deserves far more than the citizen who has won the prize at olympia in the horse or chariot race, whether the chariots were drawn by two horses or by |
in his retreat the earth seems locked up in sadness; in his return it appears exhilarated with the heavens. |
thirty one. the disciples of zeno were very numerous. |
benevolence, by which he destroys the chief and peculiar attribute of the most perfect being. for what is better and more excellent than goodness and beneficence? |
the statement is found in proclus; but we require better assurance than proclus can give us before we accept this or any other statement which he makes. |
accordingly, the analytic of principles will be merely a canon for the faculty of judgement, for the instruction of this faculty in its application to phenomena of the pure conceptions of the understanding, which contain the necessary condition for the |
the first was xanthippe, by whom he had a son named lamprocles; the second was myrto, the daughter of aristides the just; and he took her without any dowry, and by her he had two sons, sophroniscus and menexenus. |
let explain the way in which things in fact possess the power of generating, and of acting and suffering action: and let us start from the principle we have often enunciated. |
the latter means either what is a part or mode of number-in general, something which belongs to number-or that things have a number. |
if the square on one side (ab) of a triangle be equal to the sum of the squares on the remaining sides (ac, cb), the angle (one hundred) opposite to that side is a right angle. |
he was not gone far from the door, when a servant of some other person's made towards him, but not being able to come up to him, on account of the crowd of those who pressed about him, he made his way into the house, and committed himself to calpurnia, |
again, this differentiation of him from the universal essence eternally supersedes itself, and, though this mediating of a self-superseding mediation, the first substance is essentially as concrete individuality and subjectivity,-is the spirit . |
preparing for the concluding mythus of the world below in the slight allusion of cephalus. |
thus, two quadrilaterals may have their sides proportional without having equal angles, or vice versa. |
three. if we take any number, such as three, and multiply it by any whole number, the product is called a multiple of three. |
ii. a terminated right line may be produced to any length in a right line. |
departure to that place where, when they arrive, they hope to gain that which in life they desired--and this was wisdom--and at the same time to be rid of the company of their enemy. |
thus the line will be composed of points, for the point, as it continually traverses a distance equal to itself, will be a measure of the whole line. but since this is impossible, it is likewise impossible for the indivisible to be in motion. |
for he immediately feigned madness, and threw about all the money and all the coins that were on the table, until his master discarded him, and then he straightway went to diogenes and became his pupil. |
hence it was clearly out of a one that this came-to-be water, and that fire, various portions of it being separated off by certain characteristic differences or qualities-as indeed he calls the sun 'white and hot', and the earth 'heavy and hard'. |
when alexander wrote to demand a supply of galleys, and the public speakers objected to sending them, phocion, on the council requesting his opinion, told them freely, "sirs, i would either have you victorious yourselves, or friends of those who are so." |
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