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lyre, and making one general confusion; ignorantly affirming that music has no truth, and, whether good or bad, can only be judged of rightly by the pleasure of the hearer (compare republic). |
in all his conversation, far from all inhumanity, all boldness, and incivility, all greediness and impetuosity; never doing anything with such earnestness, and intention, that a man could say of him, that he did sweat about it: but contrariwise, all |
about the same time an excessive love of luxurious gratification involved nero in disgrace and danger. |
wherefore also the breast and the lungs, when they emit the breath, are replenished by the air which surrounds the body and which enters in through the pores of the flesh and is driven round in a circle; and again, the air which is sent away and passes |
mad pandarus steps forth, with vengeance vow'd for bitias' death, and threatens thus aloud: "these are not ardea's walls, nor this the town amata proffers with lavinia's crown: 'tis hostile earth you tread. |
phaedrus: i should like to know, socrates, whether the place is not somewhere here at which boreas is said to have carried off orithyia from the banks of the ilissus? |
streams among the trees of life, pavilions numberless, and sudden reared, celestial tabernacles, where they slept fanned with cool winds; save those, who, in their course, melodious hymns about the sovran throne alternate all night long: but not so waked |
that is why he separates them; for in thought they are separable from motion, and it makes no difference, nor does any falsity result, if they are separated. |
scarce had he finish'd, when, with speckled pride, a serpent from the tomb began to glide; his hugy bulk on sev'n high volumes roll'd; blue was his breadth of back, but streak'd with scaly gold: thus riding on his curls, he seem'd to pass a rolling fire |
since a house is of such-and-such a kind, certain things must necessarily come to be or be there already, or since health is this, these things must necessarily come to be or be there already. similarly if man is this, then these; if these, then those. |
est autem in hoc genere molestum, quod in maximis animis splendidissimisque ingeniis plerumque exsistunt honoris, imperii, potentiae, gloriae cupiditates. quo magis cavendum est, ne quid in eo genere peccetur. |
then first he seemed to have recovered his senses, and uttering, it is said, only these words, "what, into the camp too?" he laid aside his general's habit, and putting on such clothes as might best favor his flight, stole off. |
refusing to submit, to return to naupactus and make them the objects of a second expedition. |
this would be the most intelligible way, but it is not the usual one, which is as follows:-six : nine :: ten : fifteen. in this form it is called a proportion. hence a proportion consists of two ratios which are asserted by it to be equal. |
but the cry is all a lie; for no statesman ever could be unjustly put to death by the city of which he is the head. |
then one. a : c :: b : c, two. c : a :: c : b. dem.-since a b, dividing each by c, we have |
the hands' dispatch of two gardening so wide, and eve first to her husband thus began. |
and demetrius, the magnesian, in his treatise on people of the same name, says that he began to be the leader of the commonwealth, when harpalus arrived in athens, having fled from alexander. |
he had an intimate friend and admirer of the name of marcus favonius, much the same to cato as we are told apollodorus, the phalerian, was in old time to socrates, whose words used to throw him into perfect transports and ecstasies, getting into his head, |
ye have slain, ye have slain, o greeks, the all-wise nightingale, the favourite of the muses, guiltless all. |
this nation is distinguished by hardier frames, one hundred sixty eight compactness of limb, fierceness of countenance, and superior vigor of mind. |
a man may sometimes set aside meditations about eternal things, and for recreation turn to consider the truths of generation which are probable only; he will thus gain a pleasure not to be repented of, and secure for himself while he lives a wise and |
take a line, ace, infinite in one direction, e, and another line, bb, infinite in both directions. let ace describe a circle, revolving upon one hundred as centre. in its movement it will cut bb continuously for a certain time. |
in time she brought forth two boys, of more than human size and beauty, whom amulius, becoming yet more alarmed, commanded a servant to take and cast away; this man some call faustulus, others say faustulus was the man who brought them up. |
v. a segment of a circle is a figure bounded by a chord and one of the arcs into which it divides the circumference. |
in this second part one go hand in hand with my painter; but fall very short of him in the first and the better, my power of handling not being such, that i dare to offer at a rich piece, finely polished, and set off according to art. |
on the same principle there is no invisible sign of a visible object; for that which aids in the perception of something else must be visible. |
for delivering them from so great and imminent a danger. |
that night, it is related, about the middle of it, when the whole city was in a deep silence and general sadness, expecting the event of the next day, on a sudden was heard the sound of all sorts of instruments, and voices singing in tune, and the cry of |
further, it will follow that the intermediate bodies move downward in some cases quicker than earth: for air in sufficiently large quantity will contain a larger number of triangles or solids or particles. |
is true of spitting and of all other motions that proceed through the body, whether secretive or assimilative, the assimilative being forms of pulling, the secretive of pushing off. |
the second solid is composed of the same triangles, which unite as eight equilateral triangles, and make one solid angle out of four plane angles-six of these angles form a regular octahedron. |
and this latter proposition is a limiting case of the theorem given in proposition iii., cor. four, that "the line joining the centres of two intersecting circles bisects the common chord perpendicularly." |
when a man reckons without the use of words, which may be done in particular things, (as when upon the sight of any one thing, wee conjecture what was likely to have preceded, or is likely to follow upon it;) if that which he thought likely to follow, |
there is a fourth class of sensible things, having many intricate varieties, which must now be distinguished. |
cleinias: why, stranger, shall we, whose patience failed not when drinking or music were the themes of discourse, weary now of discoursing about the gods, and about divine things? |
it is the civill soveraign, that is to appoint judges, and interpreters of the canonicall scriptures; for it is he that maketh them laws. |
ac ab, and bc ab. but things which are equal to the same are equal to one another (axiom i.); therefore ac is equal to bc; therefore the three lines ab, bc, ca are equal to one another. hence the triangle abc is equilateral (def. |
elements ought to be mingled in the state, as wine should be mingled with water. the object at which we aim must therefore be left to the influence of public opinion. |
four. we admit that there is no perfect or ideal psychology. it is not a whole in the same sense in which chemistry, physiology, or mathematics are wholes: that is to say, it is not a connected unity of knowledge. |
how necessary, how logical, even how humanely desirable this was, let us consider for ourselves! |
their intermediate parts , yet the same motion , would be caused in the brain , as when the foot it self is ill affected , from whence 'twill necessarily follow, that the mind should perceive the same pain . and thus may we think of any other sense . |
causality of the reason. as submission to the law, therefore, that is, as a command (announcing constraint for the sensibly affected subject), it contains in it no pleasure, but on the contrary, so far, pain in the action. |
plato inscribed one of his dialogues with his name-parmenides, or an essay on ideas. he flourished about the sixty-ninth olympiad. |
jawbones to them below the face. and they framed the mouth, having teeth and tongue and lips, with a view to the necessary and the good; for food is a necessity, and the river of speech is the best of rivers. |
nor again can it be that some things are always at rest, others always in motion, and nothing sometimes at rest and sometimes in motion. this theory must be pronounced impossible on the same grounds as those previously mentioned: viz. |
reason, and not enthusiasm, is the true guide of man; he is only inspired when he is demented by some distemper or possession. the ancient saying, that 'only a man in his senses can judge of his own actions,' is approved by modern philosophy too. |
that proud honour claimed azazel as his right, a cherub tall: who forthwith from the glittering staff unfurled th' imperial ensign; which, full high advanced, shone like a meteor streaming to the wind, with gems and golden lustre rich emblazed, seraphic |
those who will take the pains to reflect with a little attention on the operations of the understanding, will find that this ready assent of the mind to some truths, depends not, either on native inscription, or the use of reason, but on a faculty of the |
when both the premisses assumed are affirmative, and the universal concerns the minor extreme, proof will be possible, but when it concerns the other extreme, impossible. |
such wonderful phenomena are attributable to the combination of certain conditions-the non-existence of a vacuum, the fact that objects push one another round, and that they change places, passing severally into their proper positions as they are divided |
six. in respect of honour and dishonour (b): |
for they are nothing but propositions by which all perception is (under certain universal conditions of intuition) subsumed under those pure concepts of the understanding. |
nicias now remained sole general, and with great prospects; for cities began to come over to alliance with him, and ships laden with corn from every coast came to the camp, everyone favoring when matters went well. |
trustworthy of all? in like manner you may know that the wise man, if no injury hurts him, is of a higher type than if none is offered to him, and i should call him a brave man whom war does not subdue and the violence of the enemy does not alarm, not him |
step into the mud and tread on thorns, and sometimes to be cut off for the good of the whole body; otherwise it is no longer a foot. we should think in some such way about ourselves also. what are you? a man. |
have, because somehow we ourselves too are very much under the dominion of chance. whereas he made the soul in origin and excellence prior to and older than the body, to be the ruler and mistress, of whom the body was to be the subject. |
mighty testimonies of his excellence, that in a short time he became celebrated in the mouths of all learned men. |
dense differs from rare in containing more matter in the same cubic area. a point, then, if it may be heavy or light, may be dense or rare. but the dense is divisible while a point is indivisible. |
they who encounter men with smartnesses of speech for the most part procure themselves hatred. i know not whether he be truly virtuous, but why should he show readiness of the tongue?' chap. five. |
they also say, that the most important privilege in man is, the being able to persuade his soul to either good or bad. and that men are happy when they have a good soul; yet, that they are never quiet, and that they never retain the same mind long. |
proof.--humility is pain arising from a man's contemplation of his own infirmities (def. of the emotions, xxvi.). but, in so far as a man knows himself by true reason, he is assumed to understand his essence, that is, his power (three. vii.). |
for the motions of a, b, and the others may be equal, or the motions of the others may be greater: but assuming what is conceivable, we find that whether they are equal or some are greater, in both cases the whole motion is infinite. |
also the vacuum which is made when the air is exhaled through the pores is filled up by the inhalation of breath through the mouth and nostrils. the explanation of this double phenomenon is as follows:-elements move towards their natural places. |
the foregoing proof may be abridged as follows:- because ed bisects ab at right angles, every point equally distant from, the points a, b must lie in ed i. x. ex. |
thus arises the following progression:-moon one, sun two, venus three, mercury four, mars eight, jupiter nine, saturn twenty seven. |
so the eginetans, exalted by great prosperity and calling to mind an ancient grudge against the athenians, then on the request of the thebans commenced a war against the athenians without notice: for while the athenians were intent on the boeotians, they |
this is one of the three; and the second is a mole in the sea about the harbour, going down to a depth of as much as fifty four twenty fathoms; and the length of the mole is more than two furlongs. |
jove new courage to the foe supplies, and arms against the town the partial deities. haste hence, my son; this fruitless labour end: haste, where your trembling spouse and sire attend: haste; and a mother's care your passage shall befriend.' |
remnant, the recurrence of day and night and of the seasons, the solid earth and the impalpable aether, were always present to them. |
thus pushing on is a form of pushing in which that which is causing motion away from itself follows up that which it pushes and continues to push it: pushing off occurs when the movent does not follow up the thing that it has moved: throwing when the |
he took care that they should be well fed, sharing his own meals with them, provided facilities for bathing, and employed every method of judicious indulgence to weld them into a loyal and homogenous body. |
and you must seek among yourselves too; for you will not find others better able to make the search. |
so far as they are affected by 'mutual replacement', all the members of the series are moved and impart motion simultaneously, so that their motions also cease simultaneously: but our present problem concerns the appearance of continuous motion in a |
it is other people's affairs that are to be decided, so that the judges, intent on their own satisfaction and listening with partiality, surrender themselves to the disputants instead of judging between them. |
what if your assertion, velleius, proves absolutely false, that no form occurs to us, in our contemplations on the deity, but the human? will you, notwithstanding that, persist in the defence of such an absurdity? |
has been said by us is probable, and will be rendered more probable by investigation. let us assume thus much. |
scipio. what do you at home? do you commit your affairs to the hands of many persons? |
but some times the accuser ought to seek to excite pity, and the advocate for the defence may aim at rousing indignation. |
he who has sat day and night, from year's end to year's end, alone with his soul in familiar discord and discourse, he who has become a cave-bear, or a treasure-seeker, or a treasure-guardian and dragon in his cave--it may be a labyrinth, but can also be |
four. in any right-angled triangle the square on the sum of the hypotenuse and perpendicular, from the right angle on the hypotenuse, exceeds the square on the sum of the sides by the square on the perpendicular. |
this euchenor had set sail for troy well knowing that it would be the death of him, for his good old father polyidus had often told him that he must either stay at home and die of a terrible disease, or go with the achaeans and perish at the hands of the |
the law of nature-strictly so called-is for that reason the predominance of the strong and the reign of force, and a state of nature a state of violence and wrong, of which nothing truer can be said than that one ought to depart from it. |
(four hundred) between the acute angle and the foot of the perpendicular on it from the opposite angle. |
or thus: draw a line bisecting ab at right angles. then this line i., cor. one must pass through the centre of each circle, and therefore xi. xii. must pass through each point of contact, which is impossible. hence two circles cannot have double contact. |
tsze-kung said, 'if it cannot be helped, and one of these must be dispensed with, which of the three should be foregone first?' 'the military equipment,' said the master. three. |
this then is the one species of the just. |
with the strength of his arm, and the excellent temper of the weapon, passed downward so far that his body being cut asunder fell in two pieces. |
as those to whom it comes before they call for it. |
twenty three. that that republic is arranged in the best manner which, being composed in due proportions of those three elements, the monarchical, the aristocratical, and the democratic, does not by punishment irritate a fierce and savage mind. |
generally that that which cannot come to be should be in process of coming to be, it follows that it is inconceivable that that which cannot complete a change should be in process of changing to that to which it cannot complete a change. |
again, because gf is parallel to cb, and ge intersects them, the angle egf is equal to ecb i. xxix. ; but ecb is right (const.); therefore egf is right, and gef has been proved to be half a right angle; therefore i. xxxii. |
def. ii.-the point o is called the centre of similitude of the figures. it is also called their double point. |
and they did in fact at that time create a very great and mighty movement; uniting with the ever-flowing stream in stirring up and violently shaking the courses of the soul, they completely stopped the revolution of the same by their opposing current, and |
finds a place in them, namely, argument; for stories, if they are to have novelty and interest, are soon exhausted, and jesting is likely to become insipid. |
yet how can void have a local movement or a place? for thus that into which void moves is till then void of a void. |
bd is equal to four hundred; but bd is equal to ac (const.); therefore ac is equal to four hundred, and therefore i. v. the angle cda is equal to a; but bda has been proved to be equal to the sum of cda and a. hence bda is double of a. |
those who object to him that he did this to be popular, and gain the applause of the vulgar, are confuted by the constant tenor of the rest of his actions, which all tended to uphold the interests of the nobility and the spartan policy, of which he gave |
ten. and those things indeed are attributed to persons, which when they are all collected together in one place, it will be the business of the accuser to use them as inducing a disapprobation of the person; for the fact itself has but little force unless |
(d) it is also possible when one is false. this may be either premiss indifferently. |
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