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this is repeated from eleven. seventeen. here i feel convinced that it is an interpolation, for it is evident that twenty ought to follow immediately on eighteen. |
for why the ladder? wouldst thou get in? to heart in-clamber? to mine own secretest conceptions in-clamber? shameless one! thou unknown one!-thief! what seekst thou by thy stealing? what seekst thou by thy hearkening? what seekst thou by thy torturing? |
in the sixth edition there is very little added or altered. |
thirty two. the radii of two circles are six and eight, and the distance between their centres ten; find the length of their common chord. |
desire of honours, if any of them entertain that passion: for in some states, though the commonalty have not the right of electing the magistrates, yet it is vested in part of that body chosen to represent them: and it is sufficient for the people at |
the dardanians were led by brave aeneas, whom venus bore to anchises, when she, goddess though she was, had lain with him upon the mountain slopes of ida. |
thrasea's freespokenness broke through the servility of the other senators. as soon as the consul allowed a division, they voted with him, with but few exceptions. |
now, when all the stars which were necessary to the creation of time had attained a motion suitable to them, and had become living creatures having bodies fastened by vital chains, and learnt their appointed task, moving in the motion of the diverse, |
and here we conceive the work of a philosopher to be something of this kind: he must adapt his wish ( greek: boulaesin ) to what is going on, so that neither any of the things which are taking place shall take place contrary to our wish, nor any of the |
figures that are congruent are said to be identically equal. |
similarly if the negative statement is transposed: the proof can be made by means of the same terms. also if the affirmative premiss is partially false, the negative wholly true, a true conclusion is possible. |
seeing, however, that we have already decided this matter to the best of our ability, we are entitled to treat our results as representing fact. |
two. let the sides ad, ef (figures (), ()) opposite to bc not terminate in the same point. |
upon the steps that lead down to the cell, turns away his face with the rest of the priests; the stairs are drawn up after she has gone down, and a quantity of earth is heaped up over the entrance to the cell, so as to prevent it from being distinguished |
that if the stars have a movement of their own, it will be one of these. but neither is observed. (one) suppose them to spin. they would then stay where they were, and not change their place, as, by observation and general consent, they do. |
i that the general will is indestructible two voting three elections four the roman comitia five the tribunate six the dictatorship seven the censorship eight civil religion nine conclusion |
now i admit the language about fathers and the rest of a man's relations. |
and further, if there is always something of this nature, a movent that is itself unmoved and eternal, then that which is first moved by it must be eternal. |
that which is coming to be and that which was previously there, while if it is incorporeal, there must be an extra-corporeal void. but we have already shown that this is impossible. |
but the plataeans, fearing that even thus they might not be able to hold out against the superior numbers of the enemy, had yet another invention. |
if a man happens to have bad neighbours or bad children, he will agree with any one who tells him, 'nothing is more annoying than having neighbours', or, 'nothing is more foolish than to be the parent of children.' |
now here and in lacedaemon the rules about love are perplexing, but in most cities they are simple and easily intelligible; in elis and boeotia, and in countries having no gifts of eloquence, they are very straightforward; the law is simply in favour of |
all the compound bodies-all of which exist in the region belonging to the central body-are composed of all the 'simple' bodies. for they all contain earth because every 'simple' body is to be found specially and most abundantly in its own place. |
but the changes we have mentioned are none of them corporeal. |
and these two, thus nurtured and educated, and having learned truly to know their own functions, will rule over the concupiscent, which in each of us is the largest part of the soul and by nature most insatiable of gain; over this they will keep guard, |
for such a preference implies that the body is more honourable than the soul; and this is false, for there is nothing of earthly birth which is more honourable than the heavenly, and he who thinks otherwise of the soul has no idea how greatly he |
his taunts infuriated the argives, and peneleos was more enraged than any of them. |
eleven. what is meant by escribed circles? |
but where are the orators among whom you find the latter? callicles admits that there are none remaining, but there were such in the days when themistocles, cimon, miltiades, and the great pericles were still alive. |
now wherein justice in this sense differs from virtue appears from what has been said: it is the same really, but the point of view is not the same: in so far as it has respect to one's neighbour it is justice, in so far as it is such and such a moral |
democritus, however, does seem not only to have thought carefully about all the problems, but also to be distinguished from the outset by his method. |
whom i show the least honour i lay no great stress upon my opinions; or of others i look upon death carelessly when i look upon it universally i love stout expressions amongst gentle men i love temperate and moderate natures i need not seek a fool from |
six. the middle points of the four sides of a convex quadrilateral, taken in order, are the angular points of a parallelogram whose area is equal to half the area of the quadrilateral. |
water in the case of the water-clock. and they adduce an amount of evidence to prove that air, when cut off and at rest, can bear a considerable weight. |
if, then, no cause or reason can be given, which prevents the existence of god, or which destroys his existence, we must certainly conclude that he necessarily does exist. |
analogy in modern times only points the way, and is immediately verified by experiment. |
the manners are clumsy and inferior; the hand of the rhetorician is apparent at every turn. yet noble sentiments are constantly recurring: the true note of roman patriotism-'we romans are a great people'-resounds through the whole work. |
but if they were so angry at this comparison, what would they say to the brutish and barbarous stupidity of those who, nowadays, compare him with ariosto? would not ariosto himself say? |
two. since agh and bgh are adjacent angles, their sum is equal to two right angles xiii. |
socrates: yes; and i have heard and said many things. |
one's business, wearied with living sooner than with working; shameful, too, to die in the act of receiving payments, amid the laughter of one's long-expectant heir. |
for being ravished with the sight of the princely gifts that were before him, and being tempted thereupon to challenge and aspire to things above him, he deigned not to accept the king's present as a reward for good news, but indignantly crying out and |
tsze-yu said, 'in serving a prince, frequent remonstrances lead to disgrace. between friends, frequent reproofs make the friendship distant.' |
else, when the motion of that which is pulling is quicker than the motion that would separate from one another the two things that are continuous: for it is this that causes one thing to be pulled on along with the other. |
but, secondly, some events are for the sake of something, others not. again, some of the former class are in accordance with deliberate intention, others not, but both are in the class of things which are for the sake of something. |
but he, apprehending the multitude of the enemy, and to avoid the shock of their elephants, dividing his forces, attacked their left wing himself, and commanded coenus to fall upon the right, which was performed with good success. |
this case the differences in the locomotion are merely differences of posture in that which is in motion.) we may say, therefore, that things are of equal velocity in an equal time they traverse the same magnitude: and when i call it 'the same' i mean |
cross'd the sands, he clos'd his wings, and stoop'd on libyan lands: where shepherds once were hous'd in homely sheds, now tow'rs within the clouds advance their heads. |
iv. magnitudes are said to have a ratio to one another when the less can be multiplied so as to exceed the greater. |
three. if from a, one of the points of intersection of two given circles, two chords acd, acd be drawn, cutting the circles in the points one hundred, five hundred; one hundred, five hundred, the triangles bcd, bcd, formed by joining these to the second |
we must also consider by whom it is said or done, to whom, when, by what means, or for what end; whether, for instance, it be to secure a greater good, or avert a greater evil. |
pectore si fratris gladium juguloque parentis condere me jubeas, gravidque in viscera partu conjugis, invita peragam tamen omnia dextra. lucan. i, three hundred seventy six. |
we may now say that our discourse about the nature of the universe has an end. |
hence eb eo. again, the triangles ebf, ogc are equiangular, because efb, ecb are equal, and ebf, ogc are each right. therefore, ef : eb :: oc : og; therefore ef.og eb.oc eo.oc. |
but, first of all, him, whom to love is to obey, and keep his great command; take heed lest passion sway thy judgement to do aught, which else free will would not admit: thine, and of all thy sons, the weal or woe in thee is placed; beware! |
it persuadeth me, i know not how, it toucheth me inwardly with a caressing hand, it constraineth me. yea, it constraineth me, so that my soul stretcheth itself out:- |
the trojan prince beheld him from afar, and dauntless undertook the doubtful war. collected in his strength, and like a rock, pois'd on his base, mezentius stood the shock. |
assuredly he was the deliverer of germany, one too who had defied rome, not in her early rise, as other kings and generals, but in the height of her empire's glory, had fought, indeed, indecisive battles, yet in war remained unconquered. |
disorders the whole inner nature of man; and when eager in the pursuit of some sort of learning or study, causes wasting; or again, when teaching or disputing in private or in public, and strifes and controversies arise, inflames and dissolves the |
but when all the watery part is suddenly drawn out by fire, a more brittle substance is formed, to which we give the name of pottery. |
present time is very short, so much so that to some it seems to be no time at all; for it is always in motion, and runs swiftly away: it ceases to exist before it comes, and can no more brook delay than can the universe or the host of heaven, whose |
every one may understand the origin of diseases. they may be occasioned by the disarrangement or disproportion of the elements out of which the body is framed. |
but as time is most usually supposed to be (three) motion and a kind of change, we must consider this view. |
the individual who answers to timocracy has some noticeable qualities. he is described as ill educated, but, like the spartan, a lover of literature; and although he is a harsh master to his servants he has no natural superiority over them. |
i remarked, moreover, with respect to experiments, that they become always more necessary the more one is advanced in knowledge; for, at the commencement, it is better to make use only of what is spontaneously presented to our senses, and of which we |
if, then, in the whole time dz has changed, in half the time there will be a part that has changed, less than and therefore prior to dz: and again there will be another part prior to this, and yet another, and so on to infinity. |
and whatever happened either in your country or in ours, or in any other region of which we are informed-if there were any actions noble or great or in any other way remarkable, they have all been written down by us of old, and are preserved in our |
air had come up; and the earth when compressed by the air into an indissoluble union with water becomes rock. the fairer sort is that which is made up of equal and similar parts and is transparent; that which has the opposite qualities is inferior. |
again we may use a complex expression for either and say, e.g. neither 'polyclitus' nor 'sculptor' but 'polyclitus, sculptor'. |
cor. one.-three collinear points cannot be concyclic. |
and the world, to each individual, means the part of it with which he comes in contact; his party, his sect, his church, his class of society: the man may be called, by comparison, almost liberal and large-minded to whom it means anything so comprehensive |
to accompany him to the confines of their country. |
two. ab bc : ab :: ab : a. this is evident by drawing through b a parallel to a. |
sol.-if ten be a right angle, describe a semicircle on the given line, and the thing required is done; for the angle in a semicircle is a right angle. |
elucidation of these propositions in the work from which they are taken: aphorisms on knowing and not-knowing, c. , by one hundred. f. g-l.: berlin one thousand eight hundred twenty nine. |
vices, who alone was interested in this burning, lying on his stomach and looking over the cellar wall at the still smouldering cinders beneath, muttering to himself, as is his wont. |
seven. if we join af, bf we find, as before, the rectangle af.fb equal to the rectangle contained by the radius and fi-that is, equal to the rectangle contained by the radius and the sum of cf and bg. |
but i (see how far i am from any horrible inclination towards,) praise you for having once in your life had a righteous intention; i return you thanks for not having revealed the matter; and i excuse you for not having accomplished your purpose. |
first the services of your various officers, pardon small faults, and raise to office men of virtue and talents.' two. chung-kung said, 'how shall i know the men of virtue and talent, so that i may raise them to office?' |
this is easily said, but see who will be so easily persuaded; and if it be so that a strong and lively faith draws along with it actions of the same kind, certainly this faith we so much brag of, is very light in this age of ours, unless the contempt it |
one hundred. other indians have on the contrary a manner of life as follows:-they neither kill any living thing nor do they sow any crops nor is it their custom to possess houses; but they feed on herbs, and they have a grain of the size of millet, in a |
the spontaneous on the other hand is found both in the lower animals and in many inanimate objects. we say, for example, that the horse came 'spontaneously', because, though his coming saved him, he did not come for the sake of safety. |
and neither the judges, nor samuel himselfe had an ordinary, but extraordinary calling to the government; and were obeyed by the israelites, not out of duty, but out of reverence to their favour with god, appearing in their wisdome, courage, or felicity. |
it is argument sufficient they were written after the captivity in babylon, that the history of them is continued till that time. |
yes, he said, i am quite aware that this is their way of talking. |
our enquiry will resolve itself at the outset into a consideration of the above-mentioned problem-what can be the reason why some things in the world at one time are in motion and at another are at rest again? |
they are sensible of a want of point in the dialogue and a general inferiority in the ideas, plan, manners, and style. |
was himself destroyed by a thunderbolt. now this has the form of a myth, but really signifies a declination of the bodies moving in the heavens around the earth, and a great conflagration of things upon the earth, which recurs after long intervals; at |
which pass current for the history of ancient rome, c., have taken the place of the pragmatising which detected psychological motives and associations. |
we have stated that all the 'elements' come-to-be out of any one of them; and we have explained the manner in which their mutual conversion takes place. let us nevertheless supplement our theory by the following speculations concerning them. |
cleinias: will you try to be a little plainer? |
but since some continua are easily divided and others less easily, and things which produce division differ similarly in the case with which they produce it, the explanation must be found in this fact. |
and state and prove corresponding theorems for the escribed circles. |
laelius. you have conducted me to this conclusion, and i entertain very nearly that opinion. |
now that scientific knowing is something of this sort is evident-witness both those who falsely claim it and those who actually possess it, since the former merely imagine themselves to be, while the latter are also actually, in the condition described. |
for explanations and examples, and other helps to intelligibility, aid us in the comprehension of parts , but they distract the attention, dissipate the mental power of the reader, and stand in the way of his forming a clear conception of the whole; as he |
we must conceive the same account to hold of action and passion as that which is true of 'being moved' and 'imparting motion'. for the 'mover', like the 'agent', has two meanings. |
not terrible, though terrour be in love and beauty, not approached by stronger hate, hate stronger, under show of love well feigned; the way which to her ruin now i tend. so spake the enemy of mankind, enclosed in serpent, inmate bad! |
of 'properties' the most 'arguable' are the essential and permanent and the relative. |
of the divine augustus was being sacrificed." then, by the torture of the slaves, her infamies were brought to light, and a motion of rubellius blandus was carried which outlawed her. drusus supported him, though others had proposed a milder sentence. |
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