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remote habitations as a punishment of their outlandish ignorance. these are the laws by which animals pass into one another, now, as ever, changing as they lose or gain wisdom and folly. |
hath the time not long since passed for all such doubts? who may nowadays awaken such old slumbering, light-shunning things! |
as lepidus himself, out of modesty, declined to appoint, valerius naso, one of the ex-praetors, was chosen by lot and sent out. |
for growth is an increase, and diminution is a lessening, of the magnitude which is there already-that, indeed, is why the growing thing must possess some magnitude. |
great joy he promised to his thoughts, and new solace in her return, so long delayed: yet oft his heart, divine of something ill, misgave him; he the faltering measure felt; and forth to meet her went, the way she took that morn when first they parted: by |
moreover, where will the points be? and are they motionless or moving? and every contact is always a contact of two somethings, i.e. there is always something besides the contact or the division or the point. |
escaping should present itself. agis also, on being informed of the disaster, sent them a spartan of the name of thermon. |
having heard this the argives, it is said, considered it a great matter; and therefore at first they made no offer of help nor did they ask for any share; but afterwards, when the hellenes tried to get them on their side, then, since they knew well that |
thereat the soldiers were in high dudgeon, for the provisions they had brought with them had reached the lowest ebb, and there was no market to be had. |
the first instance which we saw of motion communicated by the shock of two billiard balls (to return to this obvious illustration) is exactly similar to any instance that may, at present, occur to us; except only, that we could not, at first, infer one |
and (ii) the same happens as in regard to number; for 'long and short', c., are attributes of magnitude, but magnitude does not consist of these, any more than the line consists of 'straight and curved', or solids of 'smooth and rough'. |
phaedimus king of the sidonians made me a present of it in the course of a visit that i paid him while i was on my return home. i should like to give it to you." |
chosen some by vote, others by lot; by which means there will be the same number of them also as was mentioned. |
outer circle of the fixed stars and the inner circle of the planets, divided according to certain musical intervals; he has also created time, the moving image of eternity, and space, existing by a sort of necessity and hardly distinguishable from matter. |
hence the sum of the angles forming the solid angle is less than four right angles. |
but when edicts from the same source tried to pronounce duelling itself an act of cowardice, as indeed it is, then, since common opinion does not regard it as such, the public took no notice of a decision on a point on which its mind was already made up. |
thus did he speak and the others all of them applauded his saying, and were for doing as he had said, but nestor's son antilochus stood up and claimed his rights from the son of peleus. |
his share of silence and speech, and drinking and music, will change his character into the opposite--such laws as will infuse into him a just and noble fear, which will take up arms at the approach of insolence, being that divine fear which we have |
glaucus, moreover, son of hippolochus, captain of the lycians, in hard hand-to-hand fight smote iphinous son of dexius on the shoulder, as he was springing on to his chariot behind his fleet mares; so he fell to earth from the car, and there was no life |
but now when i distinguish the wax from its outward adherents, and consider it as if it were naked, with it's coverings pull'd off, then i cannot but really perceive it with my mind, though yet perhaps my judgment may erre. |
but neither will it in any way affect the argument if there is not a similar accession of concurrent fragments from every side. |
then, o knight patroclus, with a deep sigh you answered, "achilles, son of peleus, foremost champion of the achaeans, do not be angry, but i weep for the disaster that has now befallen the argives. |
there was a door to which i found no key: there was a veil past which i could not see: some little talk awhile of me and thee there seemed--and then no more of thee and me. |
act-it would sometimes seem by a sort of make-believe-as if we were already there. but these moments of high enthusiasm are rare; and kant commends sobriety and warns against high-minded schwarmerei , or over-strained mysticism. |
if that be the case, however, 'a house must come to-be if foundations have come-to-be', as well as vice versa. for the antecedent was assumed to be so related to the consequent that, if the latter is to be, the antecedent must have come-tobe before it. |
finally, since there are three kinds of motion, the substratum and the goal of motion must be one or other of these, e.g. locomotion will have to be altered or to be locally moved. |
a ravine on the left, a mountain on the right, a pathway so perilous that the horses have to be roped together and the chariots carried in slings, no passage open in front, retreat cut off behind, no choice but to proceed in single file. |
for the middle sort of historians, of which the most part are, they spoil all; they will chew our meat for us; they take upon them to judge of, and consequently, to incline the history to their own fancy; for if the judgment lean to one side, a man cannot |
again, it may be shown in the following way that there can be no motion of a point or of any other indivisible. that which is in motion can never traverse a space greater than itself without first traversing a space equal to or less than itself. |
this being supposed, let us proceed to the next stage: in the likeness of what animal did the creator make the world? |
thus wishing to preserve the entire seed, he enclosed it in a stone-like casing, inserting joints, and using in the formation of them the power of the other or diverse as an intermediate nature, that they might have motion and flexure. |
chap. forty six. one. a youth of the village of ch'ueh was employed by confucius to carry the messages between him and his visitors. some one asked about him, saying, 'i suppose he has made great progress.' two. |
no determinate divisible thing has a single termination, whether it is continuously extended in one or in more than one dimension: but the 'now' is a termination, and it is possible to cut off a determinate time. further, if coincidence in time (i.e. |
particular. thus, we must be able to say which is the greater or lesser good, the greater or lesser act of justice or injustice; and so on. |
hangs me a golden chain from heaven, and lay hold of it all of you, gods and goddesses together-tug as you will, you will not drag jove the supreme counsellor from heaven to earth; but were i to pull at it myself i should draw you up with earth and sea |
xv. it will be proper to give here an explanation of the extended meaning of the word angle in modern geometry. this extension is necessary in trigonometry, in mechanics-in fact, in every application of geometry, and has been partly given in i. def. ix. |
note.--an example will put this point in a clearer light. |
do not know. my ears delight in a well-turned and properly finished period of words, and they like conciseness, and disapprove of redundancy. why do i say my ears? i have often seen a whole assembly raise a shout of approval at hearing a musical sentence. |
let us imagine the causes of every affection, whether of sense or not, to be of the following nature, remembering that we have already distinguished between the nature which is easy and which is hard to move; for this is the direction in which we must |
and next we have to determine what are the four most beautiful bodies which are unlike one another, and of which some are capable of resolution into one another; for having discovered thus much, we shall know the true origin of earth and fire and of the |
soon an inner world of ideas began to be unfolded, more absorbing, more overpowering, more abiding than the brightest of visible objects, which to the eye of the philosopher looking inward, seemed to pale before them, retaining only a faint and precarious |
this is incorrect, for even in this world of animals and plants the principles from which these come are complete; for it is a man that produces a man, and the seed is not first. |
but the chief ground of my satisfaction with thus method, was the assurance i had of thereby exercising my reason in all matters, if not with absolute perfection, at least with the greatest attainable by me: besides, i was conscious that by its use my |
twenty four. how many centres of similitude can two regular polygons of n sides each have? ans. n centres, which lie on a circle. |
nor is there motion in respect of agent and patient-in fact there can never be motion of mover and moved, because there cannot be motion of motion or becoming of becoming or in general change of change. |
however thou shalt not escape punishment now, for know that before this i had very long been desiring to find some occasion against thee." |
as to these fellows, if we attack them, i am sure you do not really expect them to await us; though, if we retreat, we know for certain they will be emboldened to pursue us. |
prop. fifty five. when the mind contemplates its own weakness, it feels pain thereat. |
with regard to the shape of each star, the most reasonable view is that they are spherical. |
violence of men. i easily grant, that civil government is the proper remedy for the inconveniencies of the state of nature, which must certainly be great, where men may be judges in their own case, since it is easy to be imagined, that he who was so |
if you are not well equipped with an argument against the assertion, look among the definitions, real or apparent, of the thing before you, and if one is not enough, draw upon several. |
they bestow more than ordinary pains in coating certain parts of their buildings with a kind of earth, so pure and shining that it gives the appearance of painting. |
all is lost when a man's position enables him to carry out whatever anger prompts him to do; nor can power long endure if it be exercised to the injury of many, for it becomes endangered as soon as common fear draws together those who bewail themselves |
and as fire lays hold of the inflammable, so the active principle of growth, dwelling in the growing thing that which is actually flesh), lays hold of an acceding food which is potentially flesh and converts it into actual flesh. |
it may be urged that man is essentially a social being, and that it is only in his relations to other such beings that his morality can find a sphere. the sphere of morality, according to dr. |
all therefore that can be done between two men not subject to civill power, is to put one another to swear by the god he feareth: which swearing or oath, is a forme of speech, added to a promise; by which he that promiseth, signifieth, that unlesse he |
particularly. so hardly was nicias believed to have suffered the calamity which he had often predicted. |
the amount removed is, it is true, divisible into a number of parts, but no one of these was set in motion separately: they were all set in motion together. |
horseback; those who deny it call it only the honor the tuscan did to her courage; a figure, however, on horseback stands in the via sacra, as you go to the palatium, which some say is the statue of cloelia, others of valeria. |
were concerned with the poems of homer, because argives and argos are celebrated in them almost everywhere; then secondly, since there was (as still there is) in the market-place itself of the sikyonians a hero-temple of adrastos the son of talaos, |
for had the king made it his business to discover a place, where having posted the grecians, he might encounter them with the least hazard, he would never have found out any other but that which was most remote from himself and those near him; of his |
but if fire is self-animated, unmixed with any other element, it must be sensitive, because it renders our bodies sensitive; and the same objection which i just now made will arise, that whatever is sensitive must necessarily be susceptible of pleasure |
manliness, which is closely related to the genius for war and conquest, and made its first entrance into germany in the person of the great frederick. |
let p and q be two consecutive points on the circumference. join cp, cq, pq; produce pq both ways. now since p and q are consecutive points, pq is a tangent (def. iii.). |
hence first arose your greek: heimarmene , as you call it, your fatal necessity; so that, whatever happens, you affirm that it flows from an eternal chain and continuance of causes. |
moreover, it was not till late that the short plot was discarded for one of greater compass, and the grotesque diction of the earlier satyric form for the stately manner of tragedy. |
if then the things which are independent of the will are neither good nor bad, and all things which do depend on the will are within our power, and no man can either take them from us or give them to us, if we do not choose, where is room left for |
being himself at the head of an expedition into those territories, he could observe those who voluntarily encountered risks; these he made rulers of the territory which he subjected, and afterwards honoured them with other gifts. |
that which is bound may be dissolved, but only an evil being would dissolve that which is harmonious and happy. and although you are not immortal you shall not die, for i will hold you together. |
i have spoken the truth; but i must express myself in clearer language, and this will be an arduous task for many reasons, and in particular because i must first raise questions concerning fire and the other elements, and determine what each of them is; |
"the movement of absolute morality runs through all the virtues, but settles fixedly in none." it is more than love to fatherland, and nation, and laws:-that still implies a relation to something and involves a difference. |
anicetus, without a pause, claimed for himself the consummation of the crime. at those words, nero declared that that day gave him empire, and that a freedman was the author of this mighty boon. |
socrates: but surely the wise and brave are the good, and the foolish and the cowardly are the bad? |
again: thus the middle-point becomes both a starting-point and a goal, the starting-point of the latter part and the finishing-point of the first part of the motion. this is the case e.g. |
thing according as it is capable of being restored to health or capable of being heated. |
occupied by it in passing each of the a's, because an equal time is occupied by both the first b and the first g in passing all the a's. this is the argument, but it presupposed the aforesaid fallacious assumption. |
therefore our mind, in so far as it has adequate ideas (three. def. ii.), is in certain cases necessarily active; this was our first point. |
i beseech and direct that thou often call to mind the friendship which was betwixt us; but i do not wish thee to mourn for me too much--an injunction which, so far as it is in my power, i lay on all my friends, since it might seem that by doing so they |
courage, and who, out of passion, would needs be fighting, calling them traitors to their country, and telling them they were not now to think of the glory of triumphs and trophies, but rather how they might repel such an impetuous tempest of war, and |
this is the part of geometry on which the oldest mathematical book in existence, namely, euclid's elements, is written, and is the subject of the present volume. |
there was no prophet in the time of moses, nor pretender to the spirit of god, but such as moses had approved, and authorized. |
defence. about seventy thousand citizens and allies, it appeared, fell in the places which i have mentioned. |
like the tale of troy, or the legend of the ten tribes (ewald, hist. of isr.), which perhaps originated in a few verses of two esdras, it has become famous, because it has coincided with a great historical fact. |
and glorious for conserving a state that is already established and secure. |
he pelted timocrates, the brother of his companion metrodorus, with whole volumes, because he disagreed with him in some trifling point of philosophy. |
and that the health from which we fell was so ill, that itself relieves the regret we should have for it. |
he further sealed up the gates of saturn's temple, so that the treasurers could neither take any money out from thence, or put any in. |
in a concave mirror the top and bottom are inverted, but this is no transposition. |
but it does not follow that this distinction between the principle of happiness and that of morality is an opposition between them, and pure practical reason does not require that we should renounce all claim to happiness, but only that the moment duty is |
neighborhood believe that they sometimes see specters, and hear alarming sounds. |
of experience and representing the lesson it teaches in a false light. if the youth was previously in the dark, he will now be led astray by a will-o'-the-wisp: and with a girl this is still more frequently the case. |
in magnitude, on the contrary, every assigned magnitude is surpassed in the direction of smallness, while in the other direction there is no infinite magnitude. the reason is that what is one is indivisible whatever it may be, e.g. |
illustration.-suppose a to be six inches; bd, five inches; de, four inches; ec, three inches; then bc will be twelve inches; and the rectangles will have the following values:- |
socrates: yes, my friend, if he is wicked. |
so after this we will go accurately into each and say how they are mean states: and in like manner also with respect to the intellectual excellences. |
if a man would cross a business, that he doubts some other would handsomely and effectually move, let him pretend to wish it well, and move it himself in such sort as may foil it. |
well thy appetite; lest sin surprise thee, and her black attendant death. |
water; and if it still continues, tickle your nose with something and sneeze; and if you sneeze once or twice, even the most violent hiccough is sure to go. i will do as you prescribe, said aristophanes, and now get on. |
phrase 'from spontaneity'. these 'spontaneous' events are said to be 'from chance' if they have the further characteristics of being the objects of deliberate intention and due to agents capable of that mode of action. |
dem.-on ab describe the square abdf i. xlvi. , and through one hundred draw ce parallel to af i. xxxi. . |
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