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rest, as man does not; or that a peece of glasse were lesse safe in the window, than falling into the street. |
seven. the perimeter of any polygon is greater than that of any inscribed, and less than that of any circumscribed, polygon of the same number of sides. |
were you afraid that we might think that you could have turned out as infamous as you are by the mere force of nature, if your natural qualities had not been strengthened by education? |
may they not have had, like the animals, an instinct of something more than they knew? |
but we stopped short, because we saw that these sufferings are infinite in number and degree, and that they are, at once, the most just and also the most dishonourable of all sufferings. |
the greatest contests as their diviner: and these were the only men who ever were made fellow-citizens of the spartans. |
similarly, too, in the case of any alteration whatever if that which suffers alteration is infinitely divisible it does not follow from this that the same is true of the alteration itself, which often occurs all at once, as in freezing. |
there is nothing in the fragments of heracleitus which at all justifies plato's account of him. |
we could not rise to it from the sensible world without the aid of the first dynamical idea. |
if a magnitude (a) be the same multiple of another (b), which a magnitude (a) taken from the first is of a magnitude (b) taken from the second, the remainder is the same multiple of the remainder that the whole is of the whole (compare proposition i.). |
amongst them, by night marched with his army to the walls, and taking the quarter of the town called aspis, which lies above the theater, well fortified, and hard to be approached, he so terrified them that none offered to resist, but they agreed to |
two it is of great importance that the form of the election of magistrates should be regulated by law; for if it is left at the discretion of the prince, it is impossible to avoid falling into hereditary aristocracy, as the republics of venice and berne |
mind. nay, there is, i think, scarce any of the passions to be found without desire joined with it. i am sure wherever there is uneasiness, there is desire. |
philosophize, would call or think it nothing but a cat or a parrot; and say, the one was a dull irrational man, and the other a very intelligent rational parrot. |
further, things are now thought to move into the void because it yields; but in a void this quality is present equally everywhere, so that things should move in all directions. |
athenian: but surely the lawgivers of crete and lacedaemon have not legislated for a courage which is lame of one leg, able only to meet attacks which come from the left, but impotent against the insidious flatteries which come from the right? |
examined. but the individual mind in the abstract, as distinct from the mind of a particular individual and separated from the environment of circumstances, is a fiction only. |
but now at last the sacred influence of light appears, and from the walls of heaven shoots far into the bosom of dim night a glimmering dawn. |
and since this was controlled by the movement of the same, the seven planets in their courses appeared to describe spirals; and that appeared fastest which was slowest, and that which overtook others appeared to be overtaken by them. |
perhaps more assured, as that we have a body, and that there exist stars and an earth, and such like, are less certain; for, although we have a moral assurance of these things, which is so strong that there is an appearance of extravagance in doubting of |
if not, make with the given line ab the angle bae equal to ten. erect ac at right angles to ae, and bc at right angles to ab. on ac as diameter describe a circle: it will be the circle required. |
and, besides, there came ambassadors out of africa from king micipsa, to acquaint the senate, that their master, out of respect to caius gracchus, had sent a considerable quantity of corn to the general in sardinia; at which the senators were so much |
there are besides two other states, a democracy and an oligarchy, one of which all speak of, and it is always esteemed a species of the four sorts; and thus they reckon them up; a monarchy, an oligarchy, a democracy, and this fourth which they call an |
will not that man restore his plunder, who enfolding the patrimony of his master in his embrace, clinging to the treasure like a dragon, the slave of pompeius, the freedman of caesar, has seized upon his estates in the lucanian district? |
cause' in this connexion has two senses. it means (i) the source from which, as we say, the process 'originates', and (ii) the matter. it is the material cause that we have here to state. |
an idea of a triangle as is here described, it is in vain to pretend to dispute him out of it, nor would i go about it. all i desire is that the reader would fully and certainly inform himself whether he has such an idea or no. |
a man, as when we say that the wise man alone is good and honourable. |
we may remark in passing, that the platonic compared with the jewish description of the process of creation has less of freedom or spontaneity. the creator in plato is still subject to a remnant of necessity which he cannot wholly overcome. |
thirty five. what is the sum of all the exterior angles of any rectilineal figure equal to? |
now i will be wiser than either stesichorus or homer, in that i am going to make my recantation for reviling love before i suffer; and this i will attempt, not as before, veiled and ashamed, but with forehead bold and bare. |
but who can with correctness speak in praise of a mediocrity of evils? can any one in whom there is lust or desire be otherwise than libidinous or desirous? or can a man who is occupied by anger avoid being angry? |
fifteen. when are two lines divided proportionally? |
why, only the other day these people refused to present themselves to the summons of the king; their chief is too proud for that. |
observing my relations (towards all). but if i put myself in one place, and honesty in another, then the doctrine of epicurus becomes strong, which asserts either that there is no honesty or it is that which opinion holds to be honest (virtuous). |
ego, as this absolute negativity, is implicitly the identity in the otherness: the ego is itself that other and stretches over the object (as if that object were implicitly cancelled)-it is one side of the relationship and the whole relationship-the |
thou shalt never begin to live according to nature: then shalt thou be a man indeed, worthy of that world, from which thou hadst thy beginning; then shalt thou cease to be a stranger in thy country, and to wonder at those things that happen daily, as |
for even if it never began to move, yet it must possess a principle from which it would have begun to move if it had begun, and from which it would begin again if it came to a stand. |
altogether the thracians had two hundred and fifty killed out of thirteen hundred, the thebans and the rest who came to the rescue about twenty, troopers and heavy infantry, with scirphondas, one of the boeotarchs. |
convey them away, he escaped with his friends and fled to his father. |
for if the natural motion is upward, it will be fire or air, and if downward, water or earth. further, this circular motion is necessarily primary. for the perfect is naturally prior to the imperfect, and the circle is a perfect thing. |
not correspond, at least not adequately, and consequently, whether we have been able to show its unquestionable validity with regard to all the objects of the sensible world just because they are mere appearances. |
he will go forth as to a colony, and will there rear up his offspring, handing on the torch of life to another generation. |
it has one peculiarly its own; but admitting it to consist of fire, or air, it does not affect the present question. |
it is now many years that men have resorted to the forest for fuel and the materials of the arts; the new englander and the new hollander, the parisian and the celt, the farmer and robinhood, goody blake and harry gill, in most parts of the world the |
concomitant attribute-plainly, i say, everything comes to be from both subject and form. for 'musical man' is composed (in a way) of 'man' and 'musical': you can analyse it into the definitions of its elements. |
exists should be of peculiar moment to our inquiry. the infinite, then, we must now discuss, opening the whole matter from the beginning. |
confucius gave him the daughter of his elder brother to wife. |
an old greyhound will trust the more fatiguing part of the chace to the younger, and will place himself so as to meet the hare in her doubles; nor are the conjectures, which he forms on this occasion, founded in any thing but his observation and |
he is beginning to feel the need of further divisions of knowledge; and is becoming aware that besides dialectic, mathematics, and the arts, there is another field which has been hitherto unexplored by him. |
possible to contradict any affirmation or denial. thus it is plain that every affirmation has an opposite denial, and similarly every denial an opposite affirmation. |
for tell me, theodorus, do you suppose that you yourself, or any other follower of protagoras, would contend that no one deems another ignorant or mistaken in his opinion? |
certainly he will, if he has true music in him. |
ninety nine. if two circles ten, y be so related that a triangle may be inscribed in ten and circumscribed about y , an infinite number of such triangles can be constructed. |
five. in attacking with fire, one should be prepared to meet five possible developments: |
not, even thine own, and plentitude of years have made of thee an old man and a fool. |
similarly (b) even for those who postulate a single matter of their 'elements' there is a certain difficulty in explaining how anything is to result from two of them taken together-e.g. from 'cold' and hot', or from fire and earth. |
either it self as 'tis in the brain, or it self as it is in the foot, or in any of the other forementioned intermediate parts, or lastly any other thing whatsoever; but none of these would have so much conduced to the conservation of the body . |
eighteen. explain the extended meaning of the word angle. |
it was a rich and beautiful city; every common man, and every man of rank, in imitation of the king, studied to enlarge and adorn it. |
ninety one. if the altitude of a triangle be equal to its base, the sum of the distances of the orthocentre from the base and from the middle point of the base is equal to half the base. |
thus one who comes within an ace of some great evil or great good is said to be fortunate or unfortunate. the mind affirms the essence of the attribute, ignoring the hair's breadth of difference. |
surveys the course of his whole life and makes the necessary preparations for its conduct. |
we must then first look at whatever others have said, and formulate the questions which require settlement in the interests of this inquiry, before we go on to state our own view of the matter. |
this process, as we affirm, the name-giver named inspiration and expiration. |
when standing at the antipodes of his former position, speak of the same point as above and below; for, as i was saying just now, to speak of the whole which is in the form of a globe as having one part above and another below is not like a sensible man. |
enough of the nature of man and of the body, and of training and education. the subject is a great one and cannot be adequately treated as an appendage to another. |
but is it not only when an equal motion is accomplished by two things in an equal time that the velocities of the two are equal? now an affection cannot be equal to a length. |
thirty five.) for the death of abner. this fasting of david, he saith, was for the obtaining of something for them at gods hands, after their death; because after he had fasted to procure the recovery of his owne child, assoone as he know it was dead, he |
sol.-bisect two adjacent angles a, b by the lines ao, bo. then o, the point of intersection of the bisectors, is the centre of the required circle. |
but since a throng of tumultuous passions hath assailed thy soul, since thou art distraught with anger, pain, and grief, strong remedies are not proper for thee in this thy present mood. |
fifty six. i however have an opinion about the matter as follows:-if the phenicians did in truth carry away the consecrated women and sold one of them into libya and the other into hellas, i suppose that in the country now called hellas, which was |
moreover in the hebrew scriptures the creation of the world is described, even more explicitly than in the timaeus, not as a single act, but as a work or process which occupied six days. |
and the same line of argument applies to all the other properties too: for the difficulty we have just raised confronts, as a necessary consequence, all who advocate 'indivisibles' (whether solids or planes), since their 'indivisibles' cannot become |
about them, and that from opinion comes persuasion, and not from the truth. |
way, because it is first. and it will belong to this to consider being qua being-both what it is and the attributes which belong to it qua being. |
come-to-be perpetually' is the closest approximation to eternal being. |
then, is power not to be reckoned in the category of good? why, can that which is plainly more efficacious than anything else be esteemed a thing feeble and void of strength? or is renown to be thought of no account? |
we have sufficient ground for rejecting all these theories in the single fact that we see some things that are sometimes in motion and sometimes at rest. |
itself, and needing no other friendship or acquaintance. having these purposes in view he created the world a blessed god. |
the doctor has a knowledge of health and also of bile and phlegm, in which health is realized, and the builder both of the form of the house and of the matter, namely that it is bricks and beams, and so forth): if this is so, it would be the part of |
socrates: i believe that he has a clever and ingenious case of this sort:--he supposes a feeble and valiant man to have assaulted a strong and cowardly one, and to have robbed him of his coat or of something or other; he is brought into court, and then |
prop. one.-problem. on a given finite right line (ab) to construct an equilateral triangle. |
four. of all triangles inscribed in a circle, the equilateral triangle has the maximum perimeter. |
went down, towards the time when men loose their oxen, the cicons got the better of us, and we lost half a dozen men from every ship we had; so we got away with those that were left. |
(five) a fifth rule is to express plurality, fewness, and unity by the correct wording, e.g. 'having come, they struck me (oi d elthontes etupton me).' |
"fortune is never simply complaisant (unmixed)." --quintus curtius, iv. fourteen |
whether, therefore, the substratum is or is not something, what comes-tobe emerges out of a 'not-being': so that a thing comes-to-be out of a not-being' just as much as it 'passes-away into what is not'. |
but if the fire above air is removed, it will not move upward to the place of fire, except by constraint; and in that way water also may be drawn up, when the upward movement of air which has had a common surface with it is swift enough to overpower the |
soc. and what sort of slavery do you take to be the worst? |
all that exceeds a simple death appears to me absolute cruelty. |
itself'-a point which has no parts or magnitude, which is nowhere, and nothing. this cannot be the archetype according to which god made the world, and is in reality, whether in plato or in kant, a mere negative residuum of human thought. |
qui fortiter emungit, elicit sanguinem; and where the wine-press is hard wrought, it yields a harsh wine, that tastes of the grape-stone. |
the subject, according to what it is, may make a man looked upon as learned and of good memory; but to judge in him the parts that are most his own and the most worthy, the vigour and beauty of his soul, one must first know what is his own and what is |
consulate to which it destined him. it is a common supposition that military men, habituated to the unscrupulous and summary processes of camps, where things are carried with a strong hand, are deficient in the address and subtlety of genius requisite in |
seven. the area of a quadrilateral is equal to the area of a triangle, having two sides equal to its diagonals, and the contained angle equal to that between the diagonals. |
the lance of turnus reach'd him as he hung, and pierc'd his plated arms, but pass'd along, and only raz'd the skin. |
attracted to it by the expectation of ulterior gain, but in the conviction that what it has to give us is from first to last included in the feeling itself. |
man is for woman a means: the purpose is always the child. but what is woman for man? |
but we shall hereafter have reason to observe, that although there is a general consistency of times and persons in the dialogues of plato, a precise dramatic date is an invention of his commentators (preface to republic). |
indeed, if it has in store any of what i may call the food of study and philosophy, nothing can be pleasanter than an old age of leisure. we were witnesses to one hundred. |
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