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in such sort that, as fruits and animals grow different, men are also more or less warlike, just, temperate, and docile; here given to wine, elsewhere to theft or uncleanness; here inclined to superstition, elsewhere to unbelief; in one place to liberty, |
but strictly it is not the cause-without qualification-of anything; for instance, a housebuilder is the cause of a house; incidentally, a fluteplayer may be so. |
small communities; besides, kings were appointed in return for the benefits they had conferred on mankind; but such actions are peculiar to good men: but when many persons equal in virtue appeared at the time, they brooked not a superiority, but sought |
if one proportion be given, from it an indefinite number of other proportions can be inferred, and a great part of the theory of proportion consists in proving the truth of these derived proportions. |
one thousand six hundred thirteen, p. one hundred twenty two. |
regard his own interest, but that of his subjects; and every one who knew this would choose rather to receive a benefit from another than to have the trouble of conferring one. |
the words of the athenian are attributed to the lacedaemonian and cretan, who are supposed to have made them their own, after the manner of the earlier dialogues. |
athenian: the next step will be that these persons who have met together, will select some arbiters, who will review the laws of all of them, and will publicly present such as they approve to the chiefs who lead the tribes, and who are in a manner their |
but i will go further and state to you the reasons of my confidence, that you on your side will desire our friendship. |
this teres is in no way related to tereus who married pandion's daughter procne from athens; nor indeed did they belong to the same part of thrace. |
meno: if you want to have one definition of them all, one know not what to say, but that virtue is the power of governing mankind. |
on the supposition of forms such as some assert, this must be the case, and equally on the view that no such entity has a separate existence. |
one one. quamquam te, marce fili, annum iam audientem cratippum, idque athenis, abundare oportet praeceptis institutisque philosophiae propter summam et doctoris auctoritatem et urbis, quorum alter te scientia augere potest, altera exemplis, tamen, ut |
for it alone is embraced by a single surface, while rectilinear solids have several. the sphere is among solids what the circle is among plane figures. |
individual whatever seems good to him; now different people have different notions, and it may chance contrary ones. |
in respect of time, therefore, no knowledge of ours is antecedent to experience, but begins with it. |
if a line (ef) be a tangent to a circle, and from the point of contact (a) a chord (ac) be drawn cutting the circle, the angles made by this line with the tangent are respectively equal to the angles in the alternate segments of the circle. |
on the one hand it may mean the primary when containing the completion of the process of change- the moment when it is correct to say 'it has changed': on the other hand it may mean the primary when containing the beginning of the process of change. |
deprives them of their property; for some of them soon get rich, others are removed from poverty); besides, their having the right of election and calling their magistrates to account for their conduct when they come out of office, will satisfy their |
bind him to mortality. what, then, is the difference between them? |
(four) again, if the capacity is present prior to the activity, it will be present for all time, even while the thing was as yet ungenerated and non-existent, throughout the infinite time in which it was capable of being generated. |
the purity men love is like the mists which envelop the earth, and not like the azure ether beyond. |
he himself found i no longer when one found his cot-but two wolves found i therein, which howled on account of his death,-for all animals loved him. then did i haste away. |
the first of these was jehan de jaureguy, who wounded the prince th march one thousand five hundred eighty two; the second, by whom the prince was killed th july one thousand five hundred eighty four., was balthazar gerard. |
-wandering 'twixt the past and the future as a heavy cloud." gradually, however, while the higher men held him in their arms, he came back to himself a little, and resisted with his hands the crowd of the honouring and caring ones; but he did not speak. |
he asked no questions as to how flesh or bones, or any of the other similar compound things, come-to-be; nor again did he examine the conditions under which 'alteration' or growth are attributable to things. |
that there were only five regular solids was already known to the ancients, and out of the surfaces which he has formed plato proceeds to generate the four first of the five. |
chap. eighteen. one. the duke of sheh asked tsze-lu about confucius, and tsze-lu did not answer him. two. |
the best kind of purification is painful, like similar cures in medicine, involving righteous punishment and inflicting death or exile in the last resort. |
he will point out that the knowable and the unknowable are not subjects of the same science: 'contraries' is universal relatively to these. and we have the third figure: for the particular term assumed is middle, e.g. the knowable and the unknowable. |
they accordingly came to terms and, accepting the proposal, made no movement; especially as the thebans offered none of them any violence. |
and as the night was stormy, and as i had lodged that night in the villa of publius valerius, my companion and intimate friend, and as i remained all the nest day at his house waiting for a fair wind, many of the citizens of the municipality of rhegium |
he should proceed thus because the attributes of the genera compounded of the infimae species will be clearly given by the definitions of the species; since the basic element of them all is the definition, i.e. |
positive cause drawing away the mind from other objects, but merely from the absence of a cause, which should determine the mind to pass from the contemplation of one object to the contemplation of another. |
the contrary, is sorry that he is not double, treble, or quadruple, and that he has not many souls and many wills, to confer them all upon this one object. |
again, 'being' has more than one sense, so that we must not regard the infinite as a 'this', such as a man or a horse, but must suppose it to exist in the sense in which we speak of the day or the games as existing things whose being has not come to them |
here we may end our discussion of the distinctions of parts created by the three dimensions and of the consequent differences of position. |
in the course of the mind's development we shall see this vanity appear as wickedness at that turning-point at which mind has reached its extreme immersion in its subjectivity and its most central contradiction. |
hearing is a blow which passes through the ear and ends in the region of the liver, being transmitted by means of the air, the brain, and the blood to the soul. the swifter sound is acute, the sound which moves slowly is grave. |
six. how does euclid generally prove converse propositions? |
with me along some strip of herbage strown that just divides the desert from the sown, where name of slave and sultan scarce is known, and pity sultan mahmud on his throne. |
different pursuits to different natures and the same to the same natures. |
but the cube also has a magnitude equal to that occupied by the void; a magnitude which, if it is also hot or cold, or heavy or light, is none the less different in essence from all its attributes, even if it is not separable from them; i mean the volume |
six. the distances between the vertices of a triangle and its orthocentre are respectively the doubles of the perpendiculars from the circumcentre on the sides. |
therefore it is the assumption of b, the half of two right angles, from which it follows that a is attributable to one hundred, i.e. that the angle in a semicircle is a right angle. |
for on the fourth day after perseus was vanquished at pydna, whilst the people at rome were seeing the horse-races, a report suddenly arose at the entrance of the theater that aemilius had defeated perseus in a great battle, and was reducing all macedonia |
twenty eight. if dd be the common tangent to the two circles, dd ab.ab. |
i am no more lonely than a single mullein or dandelion in a pasture, or a bean leaf, or sorrel, or a horse-fly, or a bumble-bee. |
if the world is believed to be one, it is impossible to suppose that it should be, as a whole, first generated and then destroyed, never to reappear; since before it came into being there was always present the combination prior to it, and that, we hold, |
it is silly to suppose that we may try to allot them separate spheres, under the impression that their diverse natures will maintain an attitude of tranquillity one to another and not break out in contradiction and battle. |
phbus, wherever thou strayest, far or near, delos was still of all thy haunts most dear. thither the robed ionians take their way with wife and child to keep thy holiday, invoke thy favour on each manly game, and dance and sing in honour of thy name. |
by yesterdays meditation i am cast into so great doubts , that i shall never forget them, and yet i know not how to answer them, but being plunged on a suddain into a deep gulf, i am so amazed that i can neither touch the bottome, nor swim at the top. |
for the infinite is in the category of quantity, whereas substance or quality or affection cannot be infinite except through a concomitant attribute, that is, if at the same time they are also quantities. |
thus in contradictory changes the positive or the negative, as the case may be, is the limit, e.g. |
reason;-just as physical disease is not an abstract, i.e. mere and total, loss of health (if it were that, it would be death), but a contradiction in it. |
we are led by plato himself to regard the timaeus, not as the centre or inmost shrine of the edifice, but as a detached building in a different style, framed, not after the socratic, but after some pythagorean model. |
hence it is clear that even among the things which are outside the necessary and the normal, there are some in connexion withwhich the phrase 'for the sake of something' is applicable. |
but if there cannot be in this way a sensible body which is infinite in the full sense, evidently there can no more be a body which is potentially infinite in respect of addition, except as the inverse of the infinite by division, as we have said. |
which we began, and then endeavour to add on a suitable ending to the beginning of our tale. |
i cannot understand it, for i saw mentor here myself yesterday morning, and yet he was then setting out for pylos." |
that which moves itself, therefore, must comprise something that imparts motion but is unmoved and something that is moved but does not necessarily move anything else: and each of these two things, or at any rate one of them, must be in contact with the |
as ennius saith, agreeing with the common belief; hence, too, hercules is considered so great and propitious a god among the greeks, and from them he was introduced among us, and his worship has extended even to the very ocean itself. |
and power of beginning motion, c., co-existing in some substance, we are able to frame the complex idea of an immaterial spirit. |
or to take (said he) a crowning instance: (two) with regard to ordinary possessions, however multifarious these may be, most people are at least acquainted with their number, but if you ask a man to enumerate his friends, who are not so very many after |
cor.-if a parallelogram be inscribed in a circle it is a rectangle. |
he thirty rolling years the crown shall wear, then from lavinium shall the seat transfer, and, with hard labour, alba longa build. |
"the glory of the spartans is extinguished by my plans. --"cicero, tusc. quaes., v. seventeen. |
subject to terrible and irresistible affections,-first of all, pleasure, the greatest incitement to evil; then, pain, which deters from good; also rashness and fear, two foolish counsellors, anger hard to be appeased, and hope easily led astray;-these |
if two triangles (abc, def) have two sides (ab, ac) of one respectively equal to two sides (de, df) of the other, and have also the base (bc) of one equal to the base (ef) of the other; then the two triangles shall be equal, and the angles of one shall be |
shadows? even so the dialectical faculty withdrawing from sense arrives by the pure intellect at the contemplation of the idea of good, and never rests but at the very end of the intellectual world. |
thou art so very weary? i carry thee thither; let just thine arm sink! and art thou thirsty-i should have something; but thy mouth would not like it to drink!- |
there are the stars, and they who can may read them. the astronomers forever comment on and observe them. they are not exhalations like our daily colloquies and vaporous breath. |
case. and thus much may be said about his trial. some people have fancied that he was very hostile to democritus, because he did not succeed in getting admission to him for the purposes of conversation. |
latin as my master himself, for i had no means of mixing it up with any other. |
the origin. the creation, in plato's sense, is really the creation of order; and the first step in giving order is the division of the heavens into an inner and outer circle of the other and the same, of the divisible and the indivisible, answering to the |
but if it is divisible in three dimensions it is every way divisible, while the other magnitudes are divisible in one dimension or in two alone: for the divisibility and continuity of magnitudes depend upon the number of the dimensions, one sort being |
he recognizes the danger of unsettling young men's minds by sudden changes of laws and principles, by destroying the sacredness of one set of ideas when there is nothing else to take their place. |
yes, he said; but what is right in this particular case, like everything else, requires to be explained; for community may be of many kinds. please, therefore, to say what sort of community you mean. |
some time later her own brother chances to arrive. the fact that the oracle for some reason ordered him to go there, is outside the general plan of the play. the purpose, again, of his coming is outside the action proper. |
herself, nevertheless motion is the characteristic fact of nature: moreover, the view is actually held by some that not merely some things but all things in the world are in motion and always in motion, though we cannot apprehend the fact by |
the first is the digression about the midwives, which is also a leading thought or continuous image, like the wave in the republic, appearing and reappearing at intervals. |
which is highly prized, and that many distinguished persons belong to the family, men and women, young and old. |
hence our first question is this: do these changes differ from one another solely because of a difference in their respective 'spheres'? in other words, do they differ because, while a change from this to that (viz. |
but all this language gotten, and augmented by adam and his posterity, was again lost at the tower of babel, when by the hand of god, every man was stricken for his rebellion, with an oblivion of his former language. |
therefore, since the movements are the same, the elements must also be the same everywhere. the particles of earth, then, in another world move naturally also to our centre and its fire to our circumference. |
penelope heard what he was saying and scolded the maid, "impudent baggage," said she, "i see how abominably you are behaving, and you shall smart for it. |
if a line (de) be parallel to a side (bc) of a triangle (abc), it divides the remaining sides, measured from the opposite angle (a), proportionally; and, conversely, if two sides of a triangle, measured from an angle, be cut proportionally, the line |
predicated, and the chaos or matter which has no perceptible qualities-between being in the abstract and nothing. |
hence, whenever there is action and passion between two things, that which underlies them must be a single something. |
i say nothing to one party that i may not, upon occasion, say to the other, with a little alteration of accent; and report nothing but things either indifferent or known, or what is of common consequence. |
now, there is no condition of men whatever who stand in so great need of true and free advice and warning, as they do: they sustain a public life, and have to satisfy the opinion of so many spectators, that, as those about them conceal from them whatever |
therefore the square on ab is equal to the sum of the squares on ac, cb, and twice the rectangle ac.cb. |
infranchisement of the years of discretion. |
how, then, can one believe idomeneus, who charges pericles as if he had by treachery procured the murder of ephialtes, the popular statesman, one who was his friend, and of his own party in all his political course, out of jealousy, forsooth, and envy of |
it chanced that i walked that way across the fields the following night, about the same hour, and hearing a low moaning at this spot, i drew near in the dark, and discovered the only survivor of the family that i know, the heir of both its virtues and its |
cor. two.-if the rectangle contained by the segments of one of two intersecting lines be equal to the rectangle contained by the segments of the other, the four extremities are concyclic. |
time, then, also is both made continuous by the 'now' and divided at it. for here too there is a correspondence with the locomotion and the moving body. |
and such a pilot and ruler will provide and prescribe for the interest of the sailor who is under him, and not for his own or the ruler's interest? |
if you tell such persons that they must first alter their habits, then they grow angry; they are charming people. 'charming,-nay, the very reverse.' evidently these gentlemen are not in your good graces, nor the state which is like them. |
this is what happens when tin is combined with bronze. for some things display a hesitating and ambiguous attitude towards one another-showing a slight tendency to combine and also an inclination to behave as 'receptive matter' and 'form' respectively. |
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