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another proof.--the potentiality of non--existence is a negation of power, and contrariwise the potentiality of existence is a power, as is obvious. |
in this battle the left wing was composed of the sciritae, who in a lacedaemonian army have always that post to themselves alone; next to these were the soldiers of brasidas from thrace, and the neodamodes with them; then came the lacedaemonians |
passed over in an equal time, then it follows that the time like the magnitude is finite. |
desires, and the opposite party assist the opposite ones. |
faithfull, but also the soules of reprobates, as a property naturally consequent to the essence of mankind, without other grace of god, but that which is universally given to all mankind; there are divers places, which at the first sight seem sufficiently |
if it is, then either it is not true that every state of rest is contrary to a motion or else coming to be and ceasing to be are motion. |
then penelope sprang up from her couch, threw her arms round euryclea, and wept for joy. |
he is thus distinct from the reason in the will, and capable of making the universal itself a particular and in that way a semblance. |
it is evident, therefore, that the coming-to-be of the 'simple' bodies will be cyclical; and that this cyclical method of transformation is the easiest, because the consecutive 'clements' contain interchangeable 'complementary factors'. |
but we will leave this point also to be elucidated at a later stage in our discussion. |
for this very proposition, "if he breathes, he is alive," "if it is day, it is light," is a proposition of such a nature that the latter statement appears of necessity to cohere with the preceding one. |
"the gentlemen of bordeaux," says he, "elected me mayor of their town while i was at a distance from france, and far from the thought of such a thing. |
that of any of the things which enter into her; she is the natural recipient of all impressions, and is stirred and informed by them, and appears different from time to time by reason of them. |
all that matters is the intervention of a time: it is this that prevents the change from being continuous: so, too, in our previous instances the important thing was not the relation of contrariety but the impossibility of the two processes being present |
for if you will be at pains to investigate, you will find that those who were then most cowardly are the ringleaders to-day in brutality and outrage. |
again, the figure ph is the square on pi, and therefore equal to the square on ac. hence the whole figure af, that is, the square on ad, is equal to four times the rectangle ab.bc, together with the square on ac. |
examples will elucidate this definition of motion. when the buildable, in so far as it is just that, is fully real, it is being built, and this is building. similarly, learning, doctoring, rolling, leaping, ripening, ageing. |
and is this true of all opposites? and are we convinced that all of them are generated out of opposites? |
in like manner, if a be equal to b, c is equal to d, and if less, less. |
for twenty eight days he continued strengthening his fortifications, and took care that spies should carry the intelligence to the enemy. |
with their victors, and from being many become one. |
with the same kind of motion, or with a different kind-either that which is heating, i mean, is itself in process of becoming hot, that which is making healthy in process of becoming healthy, and that which is causing locomotion in process of locomotion, |
would decline, and endeavor to avoid them, from feelings of respect and reverence for their station. |
the truth is that what desires the form is matter, as the female desires the male and the ugly the beautiful-only the ugly or the female not per se but per accidens. |
as being passed by other things or forced up by them); and since a multitude of small atoms are heavier than a few large ones, it will follow that much air or fire is heavier than a little water or earth, which is impossible. |
the march, closing up, and reserving their force within themselves for the push of the business, have a great advantage against those who are disordered, and who have already spent half their breath in running on precipitately to the charge? |
however, he began for the time to exert himself against pompey, attacked him sharply, and succeeded in having his own acts and decrees, which were repealed by pompey, reestablished, and with the assistance of cato, gained the superiority in the senate. |
aspect, a greek in his voice and language, and a lover of honor, were wonderfully pleased and attracted; and when they left him, they filled the cities, wherever they went, with favorable feelings for him, and with the belief that in him they might find |
the veteran soldiers, who, following his authority and command and name, had taken up arms in the cause of the republic, desired to be commanded by him. |
if nicias had run the risk with alcibiades, whether of the two should undergo the ostracism, he had either prevailed, and, his rival being expelled the city, he had remained secure; or, being overcome, he had avoided the utmost disasters, and preserved |
appointed number of days for embalming, and on the last of the days they let the cedar oil come out from the belly, which they before put in; and it has such power that it brings out with it the bowels and interior organs of the body dissolved; and the |
two hundred eighty four. to live in a vast and proud tranquility; always beyond... |
he made a bad choice; for, as has been said, not being able to choose his own pope, he could still prevent any one being made pope, and he ought never to have permitted any of those cardinals to be raised to the papacy whom he had injured, or who when |
much the same thing happens in the relation of the name to the formula. a name, e.g. 'round', means vaguely a sort of whole: its definition analyses this into its particular senses. |
thus, then, did they celebrate the funeral of hector tamer of horses. |
so it is also impossible for a finite force to reside in an infinite magnitude. |
apart and dispersed by the stress of weather; which mago and hicetes observing, they agreed to fall upon catana, from whence these supplies were brought in to the besieged, and accordingly put off from syracuse, taking with them the best soldiers in their |
justly deprived of his kingdom. but tarquin proudly replied he would admit no judge, much less porsenna, that had fallen away from his engagements; and porsenna, resenting this answer, and mistrusting the equity of his cause, moved also by the |
yearling heifers that have never yet felt the goad, in the temple of the goddess if she will take pity on the town, with the wives and little ones of the trojans, and keep the son of tydeus from off the goodly city of ilius, for he fights with fury, and |
now in this good course, let not other men's either wickedness, or opinion, or voice hinder thee: no, nor the sense of this thy pampered mass of flesh: for let that which suffers, look to itself. |
but surely the discovery of the new world was preceded by a prophetic anticipation of it, which, like the hope of a messiah, was entering into the hearts of men? |
double tree that bears the golden bough. thro' the green leafs the glitt'ring shadows glow; as, on the sacred oak, the wintry mistletoe, where the proud mother views her precious brood, and happier branches, which she never sow'd. |
and the first erection of houses shall be around these temples, where the ground is highest, in order to provide the safest and most defensible place of retreat for the guards. |
this is misleading, as it implies that it is, by convention, that the first ratio is greater than the second, whereas, in fact, such is not the case; for it follows from the hypothesis that the first ratio is greater than the second; and if it did not, it |
this is the leading thought in the timaeus, just as the idea of good is the leading thought of the republic, the one expression describing the personal, the other the impersonal good or god, differing in form rather than in substance, and both equally |
is used for purging away oil and earth, the other, salt, which harmonizes so well in combinations pleasing to the palate, and is, as the law testifies, a substance dear to the gods. |
got; bad fruit of knowledge, if this be to know; which leaves us naked thus, of honour void, of innocence, of faith, of purity, our wonted ornaments now soiled and stained, and in our faces evident the signs of foul concupiscence; whence evil store; even |
i am not inquiring how great a memory simonides thirteen may be said to have had, or theodectes, fourteen or that cineas fifteen who was sent to rome as ambassador from pyrrhus; or, in more modern times, charmadas; sixteen or, very lately, metrodorus |
and 'tis said amongst other things upon this subject, that, as the must fermenting in a vessel, works up to the top whatever it has in the bottom, so wine, in those who have drunk beyond measure, vents the most inward secrets: |
now other bodies are severally light and heavy, and evidently in them the attributes are due to the difference of their uncompounded parts: that is to say, according as the one or the other happens to preponderate the bodies will be heavy and light |
oh, i have found it, my brethren! here on the loftiest height bubbleth up for me the well of delight! and there is a life at whose waters none of the rabble drink with me! |
this investigation, which we cannot properly call a doctrine, but only a transcendental critique, because it aims not at the enlargement, but at the correction and guidance, of our knowledge, and is to serve as a touchstone of the worth or worthlessness |
is it not unjust that maidens of the highest birth should be roused at night to perform divine service, while fallen women enjoy the soundest sleep? |
two. if lines be drawn from a fixed point to all the points of the circumference of a given circle, the locus of all their points of bisection is a circle. |
after he had spent a hundred millions of sesterces on his kitchen, and had wasted on each single banquet a sum equal to so many presents from the reigning emperors, and the vast revenue which he drew from the capitol, being overburdened with debt, he then |
hence we have the following important and fundamental theorem:-two transformations can be made on any fraction without changing its value; namely, its terms can be either multiplied or divided by any whole number, and in either case the value of the new |
used to call the scourge of the orators; the sixth was a neapolitan, a philosopher of the academy, a disciple and favourite of melanthius, of rhode; the seventh was a milesian, a political writer; the eighth was a statuary. |
but if their own ears are so uncivilised and barbarous, will not the authority of even the most learned men influence them? |
by his adversarie, in every possible posture, or guard: the ability of the former, would be to the ability of the later, as prudence to sapience; both usefull; but the later infallible. |
as a general criticism we must urge that to postulate pores is superfluous. for if the agent produces no effect by touching the patient, neither will it produce any by passing through its pores. |
colours are flames which emanate from all bodies, having particles corresponding to the sense of sight. some of the particles are less and some larger, and some are equal to the parts of the sight. |
clearly, therefore, the first figure is the primary condition of knowledge. |
if the earth was generated, then, it must have been formed in this way, and so clearly its generation was spherical; and if it is ungenerated and has remained so always, its character must be that which the initial generation, if it had occurred, would |
propositions xiii., xiv. are particular cases of the following theorem:- |
such is what passed between montaigne and these two personages at that time; but when the essayist was leaving, and went to bid them farewell, they used very different language to him. |
forty seven reckoned for the march of an army. |
we have now explained why there is 'unqualified coming-to-be' (though it is a passingaway-of-something) and 'unqualified passingaway (though it is a coming-to-be-of-something). |
modes of predication. the reason in turn why motion is thought to be indefinite is that it cannot be classed simply as a potentiality or as an actuality-a thing that is merely capable of having a certain size is not undergoing change, nor yet a thing that |
as for those who agree with empedocles that the 'elements' of body are more than one, so that they are not transformed into one another-one may well wonder in what sense it is open to them to maintain that the 'elements' are comparable. |
"in general one might raise the question, to what kind of science it belongs to discuss the difficulties about the matter of the objects of mathematics. |
then we will once more entreat homer and the other poets not to depict achilles, who is the son of a goddess, first lying on his side, then on his back, and then on his face; then starting up and sailing in a frenzy along the shores of the barren sea; now |
the same stars always rise and set in the same parts of the earth. |
or thus: let a, a denote the areas of the triangles abc, acd, respectively, and p their common altitude; then two. i., cor. one , |
the whole may also be considered as a satire on those who spin pompous theories out of nothing. |
because there must be something at rest at the centre of the revolving body; and of that body no part can be at rest, either elsewhere or at the centre. it could do so only if the body's natural movement were towards the centre. |
three segments into which the diameter is divided by the chords. |
since then that which is moved, being a body, is nevertheless unchanging, how should the mover, which is incorporeal, be changed? |
neater: but others by the way in which they are handled, when either the peculiar names of things are taken, or else others which are added to the proper name, or new, or old-fashioned, or in some way or other modified and altered by the orator,--such as |
then if any one at all is to have the privilege of lying, the rulers of the state should be the persons; and they, in their dealings either with enemies or with their own citizens, may be allowed to lie for the public good. |
still remains an unsolved problem, notwithstanding all the attempts at coalition that have hitherto been made. |
teachers to understand the things, and to another to learn the proper language for them. |
and since that which imparts motion may be either a thing that is moved by something else or a thing that is unmoved, and that which is moved may be either a thing that imparts motion to something else or a thing that does not, that which moves itself |
strip him of his gown, his hood, and his latin, let him not batter our ears with aristotle, pure and simple, you will take him for one of us, or worse. |
aristippus, used to ridicule mathematics; for in the arts (he maintained), even in the industrial arts, e.g. |
for water is moist and cold while earth is cold and dry-so that, if the moist be overcome, there will be earth: and again, since fire is dry and hot while earth is cold and dry, fire will result from earth if the cold pass-away. |
since the negative statement is convertible, it will be possible for no a that b should belong to it: but a belongs to some one hundred; consequently b necessarily does not belong to some of the cs. |
whence does this proceed, that there are so few to be found who have maintained the same will and the same progress in our civil commotions, and that we see them one while move but a foot-pace, and another run full speed? |
returning home during his own consulship; for all things would have been at his disposal, at the head of so great an army. |
eight. abc is a right-angled triangle having ab ac: if ah be made equal to the difference between bc and ac, ab is divided in "extreme and mean ratio" at h. |
will duly honour his teachers. i had almost forgotten the opposite doctrine, theodorus, |
so much then for the question of the number and the nature of the principles. |
persons to each of those employments which we have already mentioned; or shall some of them be appropriated to particulars, and others of course common to all? |
our next point gives a convertible result: on the one hand, because rotation is the measure of motions it must be the primary motion (for all things are measured by what is primary): on the other hand, because rotation is the primary motion it is the |
in the foreground there is the feeling of plenitude, of power, which seeks to overflow, the happiness of high tension, the consciousness of a wealth which would fain give and bestow:--the noble man also helps the unfortunate, but not--or scarcely--out of |
another demonstration of this proposition may be got by producing the lines ha and dg to meet in i. then i. xliii. the points i, one hundred, f are collinear, and the proposition is evident. |
and not only do they think them such who enjoy honours conferred on them by the people, and who busy themselves with affairs of state, but also those who are orators, and philosophers, and poets, and historians; from whose sayings and writings authority |
and wherever a pair of contraries admit of an intermediate, motions to that intermediate must be held to be in a sense motions to one or other of the contraries: for the intermediate serves as a contrary for the purposes of the motion, in whichever |
a consideration of these points, then, gives adequate assurance of the truth of our contentions. |
severus, however, had such abilities that by maintaining the soldiers friendly to him, he was able to reign happily, although he oppressed the people, for his virtues made him so admirable in the sight both of the soldiers and the people that the latter |
besides these complex ideas of several single substances, as of man, horse, gold, violet, apple, c., the mind hath also complex collective ideas of substances; which i so call, because such ideas are made up of many particular substances considered |
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