text stringlengths 40 256 |
|---|
surely it is clear that both are contrary to it though not in the same sense: the natural motion of earth is contrary inasmuch as the motion of fire is also natural, whereas the upward motion of fire as being natural is contrary to the downward motion of |
dem.-cut off ae ac. join ed. then the triangles acd, aed are evidently congruent; therefore the angle edb is bisected; hence iii. ba : ae :: bd : de; or ba : ac :: bd : six hundred. |
if the magnitude abg is composed of the indivisibles a, b, g, each corresponding part of the motion dez of o over abg is indivisible. |
i divine thee well: thou hast become the enchanter of all the world; but for thyself thou hast no lie or artifice left,-thou art disenchanted to thyself! |
the process whereby what is of a certain quality changes to a condition of active existence is similar: thus the exercise of knowledge follows at once upon the possession of it unless something prevents it. |
the narrative related to ancient famous actions of the athenian people, and to one especially, which i will rehearse in honour of you and of the goddess. critias when he told this tale of the olden time, was ninety years old, i being not more than ten. |
"i further enjoin them to give all my books to hermarchus; and, if anything should happen to hermarchus before the children of metrodorus are grown up, then i desire that amynomachus and timocrates, shall take care that, provided they are well behaved, |
def.-the point o is called the orthocentre of the triangle abc. |
the parallelogram nine hundred is equal to de i. xliii. ; but al is equal to nine hundred i. xxxvi. , because they are on equal bases ac, cb, and between the same parallels; therefore al is equal to de. |
twelve. duration has never two parts together, expansion altogether. |
if it is meant that they are comparable in their amount, all the 'comparables' must possess an identical something whereby they are measured. if, e.g. |
but ye, when ye think on future fame, fancy it an immortality that ye are begetting for yourselves. why, if thou scannest the infinite spaces of eternity, what room hast thou left for rejoicing in the durability of thy name? |
they are the sexus sequior , the second sex in every respect, therefore their weaknesses should be spared, but to treat women with extreme reverence is ridiculous, and lowers us in their own eyes. |
for temperance, sobriety, and chastity, which we are wont to oppose to luxury, drunkenness, and lust, are not emotions or passive states, but indicate a power of the mind which moderates the last--named emotions. |
three. and he was very fond of the study of politics. and he was married. but he lived also with a courtesan, named nicarete, as onetor tells us somewhere. |
closer intimacy added to the warmth of our feelings. but though many great material advantages did ensue, they were not the source from which our affection proceeded. |
and if a second, a third, and so with the others successively. |
there is a sense, therefore, in which we must declare the principles to be two, and a sense in which they are three; a sense in which the contraries are the principles-say for example the musical and the unmusical, the hot and the cold, the tuned and the |
seriously than he at first intended. the sharpness of the assault so inflamed the rest of his forces who were left in the camp, that they could not hold from advancing to second it, which they performed with so much vigor, that the tyrians retired, and |
in this way that content is (one) an image or picture, liberated from its original immediacy and abstract singleness amongst other things, and received into the universality of the ego. |
some indian ceres or minerva must have been the inventor and bestower of it; and when the reign of poetry commences here, its leaves and string of nuts may be represented on our works of art. |
ask for the acts of gracchus, the sempronian laws will be brought forward; ask for those of sylla, you will have the cornelian laws. what more? in what acts did the third consulship of cnaeus pompeius consist? why, in his laws. |
athenian: reflect; may not banqueters and banquets be said to constitute a kind of meeting? |
allow him to remain for the whole of his life, let him go and persuade the city, and whatever they assent to at his instance shall take effect. |
he was intent on trying to get near hector, for he had set his heart on spearing him, but hector's horses were now hurrying him away. |
those who try to show that the void does not exist do not disprove what people really mean by it, but only their erroneous way of speaking; this is true of anaxagoras and of those who refute the existence of the void in this way. |
there is also a third or appetitive soul, which receives the commands of the immortal part, not immediately but mediately, through the liver, which reflects on its surface the admonitions and threats of the reason. |
prop. nine.-problem. from a given right line (ab) to cut off any part required (i.e. to cut off any required submultiple) |
thus bodily excellences such as health and a good state of body we regard as consisting in a blending of hot and cold elements within the body in due proportion, in relation either to one another or to the surrounding atmosphere: and in like manner we |
once more, then, at the commencement of my discourse, i call upon god, and beg him to be our saviour out of a strange and unwonted enquiry, and to bring us to the haven of probability. so now let us begin again. |
soon as the fatal news by fame was blown, and to her dames and to her daughter known, the sad lavinia rends her yellow hair and rosy cheeks; the rest her sorrow share: with shrieks the palace rings, and madness of despair. |
had it commonly used it. and unless they had done so, young societies could not have subsisted; without such nursing fathers tender and careful of the public weal, all governments would have sunk under the weakness and infirmities of their infancy, and |
subtle but impotent distinction of subjective and objective practical necessity; or of the existence of god, deduced from the conception of an ens realissimum -the contingency of the changeable, and the necessity of a prime mover, has ever been able to |
that is why people say that the figure is not the nature of a bed, but the wood is-if the bed sprouted not a bed but wood would come up. but even if the figure is art, then on the same principle the shape of man is his nature. for man is born from man. |
and experience proves that in every relation of life the just man is the loser and the unjust the gainer, especially where injustice is on the grand scale, which is quite another thing from the petty rogueries of swindlers and burglars and robbers of |
in my opinion, scarcely any life can be more blessed, not alone from its utility (for agriculture is beneficial to the whole human race), but also as much from the mere pleasure of the thing, to which i have already alluded, and from the rich abundance |
which this fraction expressed was in the ratio of two hundred fifty six to two hundred forty three (e.g. |
and to another person who reproached him on the same grounds, he said, "there were times when i did what i did not wish to, but that is not the case now." |
thy tacklings are loosed; they could not well strengthen their mast; they could not spread the sail: then is the prey of a great spoil divided; the lame take the prey. |
whereas the concepts of reason aim at the completeness, i.e., the collective unity of all possible experience, and thereby transcend every given experience. thus they become transcendent. |
there appeared sixty thousand roman foot, ten thousand horse, spaniards and gauls, who counted as romans; and, of other nations, horse and foot, thirty thousand. |
the distinction may be seen most clearly in the case of a revolving sphere, in which the velocities of the parts near the centre and of those on the surface are different from one another and from that of the whole; this implies that there is not one |
def. i.-homologous points in the planes of two similar figures are such, that lines drawn from them to the angular points of the two figures are proportional to the homologous sides of the two figures. |
many ways; disorders and inconveniences could not but multiply continually, till it became necessary to commit the dangerous trust of public authority to private persons, and the care of enforcing obedience to the deliberations of the people to the |
o ye, who learned are in stoic fables, ye who consign the wisest of all doctrines to your most sacred books; you say that virtue is the sole good; for that alone can save the life of man, and strongly fenced cities. |
is equal to the angle in the alternate segment; but the angle bae is equal to the angle ten (const.). therefore the angle ten is equal to the angle in the segment described on ab. |
alacrity and transport of courage, he overthrew the enemy, and shut up norbanus into the city of capua, with the loss of seven thousand of his men. |
sol.-draw the diagonals ac, bd intersecting in o (see diagram to proposition vi.). o is the centre of the required circle. |
hence motions may be consecutive or successive in virtue of the time being continuous, but there can be continuity only in virtue of the motions themselves being continuous, that is when the end of each is one with the end of the other. |
it is thus impossible for a thing to be moving to a place at which in its motion it can never by any possibility arrive. |
thus, if we take away either of the parallelograms ao, oc from the parallelogram ac, the remainder is called a gnomon. |
zeno, seeing chremonides, a young man whom he loved, draw near to sit down by him, suddenly started up; and cleanthes demanding of him the reason why he did so, "i hear," said he, "that physicians especially order repose, and forbid emotion in all |
o alienate from god, o spirit accursed, forsaken of all good! |
for a common topic either contains some amplification of a well understood thing,--as if any one were desirous to show that a man who has murdered his father is worthy of the very extremity of punishment; and this topic is not to be used except when the |
is the nature of things so reversed that a creature divine by right of reason can in no other way be splendid in his own eyes save by the possession of lifeless chattels? |
but there is no necessity for there being a void if there is movement. it is not in the least needed as a condition of movement in general, for a reason which, incidentally, escaped melissus; viz. that the full can suffer qualitative change. |
pausanias, who was sitting next, then takes up the tale:--he says that phaedrus should have distinguished the heavenly love from the earthly, before he praised either. |
every other motion and change is from an opposite to an opposite: thus for the processes of becoming and perishing the limits are the existent and the non-existent, for alteration the various pairs of contrary affections, and for increase and decrease |
for if i should tell him to write dion, and then another should come and propose to him not the name of dion but that of theon, what will be done? what will he write? |
moreover, it is plain that everything continuous is divisible into divisibles that are infinitely divisible: for if it were divisible into indivisibles, we should have an indivisible in contact with an indivisible, since the extremities of things that are |
he divided his army into two parts, and dispatched the first into lucania to oppose one of the consuls there, so that he should not come in to assist the other; the rest he led against manius curius, who had posted himself very advantageously near |
and clearchus answered: "my advice to you is to put this man out of the way as soon as may be, so that we may be saved the necessity of watching him, and have more leisure, as far as he is concerned, to requite the services of those whose friendship is |
the good soul, which has intercourse with the divine nature, passes into a holier and better place; and the evil soul, as she grows worse, changes her place for the worse. |
recurs less frequently to the mind. if we allow, that belief is nothing but a firmer and stronger conception of an object than what attends the mere fictions of the imagination, this operation may, perhaps, in some measure, be accounted for. |
and as it has been understood from the letters of quintus caepio brutus, proconsul, that the republic has been greatly benefited by the energy and valour of quintus hortensius, proconsul, and that all his counsels have been in harmony with those of |
for he had previously stated his opinion on it; but he maintained to the last that favorite maxim of his, of affirming nothing. |
for it is in contraries that generation and decay subsist. again, that which is subject to increase increases upon contact with a kindred body, which is resolved into its matter. but there is nothing out of which this body can have been generated. |
she has virtue for her end, which is not, as the schoolmen say, situate upon the summit of a perpendicular, rugged, inaccessible precipice: such as have approached her find her, quite on the contrary, to be seated in a fair, fruitful, and flourishing |
our epicureans cannot understand greek, nor the greeks latin: now, they are deaf reciprocally as to each other's language, and we are all truly deaf with regard to those innumerable languages which we do not understand. |
it is probable that the relation of the ideas to god or of god to the world was differently conceived by him at different times of his life. |
this was without doubt the largest army of athenians ever assembled, the state being still in the flower of her strength and yet unvisited by the plague. |
upon the score of their own interest, and have an action of manslaughter good against us; and if these fail to take cognisance of the fact, we are punished in the other world as deserters of our duty: |
ts'au kung calls this "the use of natural or inherent power." |
dominates to a certain extent over the other-the fixed stars keep the 'wanderers' of the inner circle in their courses, and a similar principle of fixedness or order appears to regulate the bodily constitution of man. |
hence time is not number in the sense in which there is 'number' of the same point because it is beginning and end, but rather as the extremities of a line form a number, and not as the parts of the line do so, both for the reason given (for we can use |
six. when is a figure said to be given in species? |
but if the object is to establish a particular negative proposition, we must find antecedents of the subject in question and attributes which cannot possibly belong to the predicate in question. |
prop. seventy. the free man, who lives among the ignorant, strives, as far as he can, to avoid receiving favours from them. |
to death began. o son, why sit we here each other viewing idly, while satan, our great author, thrives in other worlds, and happier seat provides for us, his offspring dear? |
quod siquis dicat, ergone populus tyrannicae crudelitati furori jugulum semper praebebit? |
defence of the sicilians, or julius in the prosecution of albucius in behalf of the sardinians). the activity of lucius fufius in the impeachment of manius aquilius is likewise famous. |
for, otherwise, we are compelled to confess that god understands an infinite number of creatable things, which he will never be able to create, for, if he created all that he understands, he would, according to this showing, exhaust his omnipotence, and |
but places always presuppose intuitions which are to limit or determine them; and we cannot conceive either space or time composed of constituent parts which are given before space or time. |
generation. that in which the elements severally grow up, and appear, and decay, is alone to be called by the name 'this' or 'that'; but that which is of a certain nature, hot or white, or anything which admits of opposite qualities, and all things that |
now whenever air comes into being out of water, light out of heavy, it goes to the upper place. it is forthwith light: becoming is at an end, and in that place it has being. |
lab'ring mind: "o goddess-born, resign'd in ev'ry state, with patience bear, with prudence push your fate. by suff'ring well, our fortune we subdue; fly when she frowns, and, when she calls, pursue. |
when the syracusans returned from catana, and stood in battle array before the city gates, he rapidly led up the athenians and fell on them and defeated them, but did not kill many, their horse hindering the pursuit. |
same. but in that place i understand by the former only that wisdom to which man (the stoic) lays claim; therefore i take it subjectively as an attribute alleged to belong to man. |
it is, therefore, necessary for it to be of iron, it we are to have a saw and perform the operation of sawing. what is necessary then, is necessary on a hypothesis; it is not a result necessarily determined by antecedents. |
unmeditated; such prompt eloquence flowed from their lips, in prose or numerous verse, more tuneable than needed lute or harp to add more sweetness; and they thus began. these are thy glorious works, parent of good, almighty! |
feel shame are those whose opinion of us matters to us. such persons are: those who admire us, those whom we admire, those by whom we wish to be admired, those with whom we are competing, and those whose opinion of us we respect. |
well, people who live in a crazy one hundred three dwelling must have some way of escape from it. some one will be said to have spoken ill of you: think whether you did not first speak ill of him: think of how many persons you have yourself spoken ill. |
greetings in houses of the most various character,-after all, how few people are they able to see out of so vast a city, divided among so many different ruling passions: how many will be moved by sloth, self-indulgence, or rudeness to deny them |
the fallacy of the reasoning lies in the assumption that a body occupies an equal time in passing with equal velocity a body that is in motion and a body of equal size that is at rest; which is false. |
now (i) those who assert there is one only, and then generate everything else by condensation and rarefaction, are in effect making their 'originative sources' two, viz. |
but the fact that the term 'potentially' is used in more than one sense is the reason why it is not evident whence such motions as the upward motion of fire and the downward motion of earth are derived. |
without being necessarily together. so natural junction is last in coming to be: for the extremities must necessarily come into contact if they are to be naturally joined: but things that are in contact are not all naturally joined, while there is no |
the only present for which he bowed was that of the flesh of sacrifice. chap. sixteen. one. in bed, he did not lie like a corpse. at home, he did not put on any formal deportment. two. |
for they will clamour, fight against, and destroy those, by whom all their lifetime before, they have been protected, and secured from injury. and if this be madnesse in the multitude, it is the same in every particular man. |
matter, being, the same, the eternal,-for any of these terms, being almost vacant of meaning, is equally suitable to express indefinite existence,-are compared or united with the other or diverse, and out of the union or comparison is elicited the idea of |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.