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affection which an husband ought to pay to a virtuous, chaste wife; it takes off all petty differences, and will not permit their little quarrels to proceed to a rupture. |
every winter the liquid and trembling surface of the pond, which was so sensitive to every breath, and reflected every light and shadow, becomes solid to the depth of a foot or a foot and a half, so that it will support the heaviest teams, and perchance |
tigellinus, who was daily becoming more powerful and who thought that the wicked schemings which alone gave him strength, would be better liked if he could secure the emperor's complicity in guilt, dived into nero's most secret apprehensions, and, as soon |
long duration. this point being sufficiently proved, scipio returns to the principal discussion. |
athenian: i think that we must begin again as before, and first consider the habit of courage; and then we will go on and discuss another and then another form of virtue, if you please. |
and since a finite magnitude will not traverse an infinite in a finite time, it is clear that neither will an infinite traverse a finite in a finite time. |
if one thing is more apparent than another after reading the maxims of sun tzu, it is that their essence has been distilled from a large store of personal observation and experience. |
"but now supposing," said xenophon, "we fail of success, in spite of our endeavours; suppose any intimidation on the part of the lacedaemonians should arise; will you receive into your country any of us who may seek to find a refuge with you?" |
potions hast thou bewitched crassus, that he should march his army through a vast and deep desert, through ways which are rather fit for a captain of arabian robbers, than for the general of a roman army?" |
twenty four. the radii of two circles are four.twenty five and one.seventy five feet respectively, and the distance between their centres six.five feet; find the lengths of their direct and their transverse common tangents. |
the new intelligence which resulted from this development increased his superiority over other animals, by making him sensible of it. |
for the middle is what is defined, and what defines it is the limit, and that which contains or limits is more precious than that which is limited, see ing that the latter is the matter and the former the essence of the system. |
i possess decency, he possesses a tribuneship: he possesses a prtorship, i possess modesty. but i do not make acclamations where it is not becoming: i will not stand up where i ought not; for i am free, and a friend of god. and so i obey him willingly. |
nor should we fear the appearance of minuteness, if the law commands that all the vessels which a man possesses should have a common measure, when we consider generally that the divisions and variations of numbers have a use in respect of all the |
"who is pleased with what he is and desires nothing further." --martial, x. ii, eighteen. |
it is no wonder if this sort of accident frequently happen; for if imagination have any power in such things, it is so continually and vigorously bent upon this subject, that to the end it may not so often relapse into the same thought and violence of |
here and there one finds a passionate and exaggerated adoration of "pure forms" in philosophers as well as in artists: it is not to be doubted that whoever has need of the cult of the superficial to that extent, has at one time or another made an unlucky |
or again: let o be the centre (fig. two). join oa, ob oc, od. then the four triangles aob, boc, cod, doa are each isosceles. |
and the same argument applies to the universal nature which receives all bodies-that must be always called the same; for, while receiving all things, she never departs at all from her own nature, and never in any way, or at any time, assumes a form like |
yet here is this great weight of earth, and it is at rest. and again, from beneath one of these moving fragments of earth, before it falls, take away the earth, and it will continue its downward movement with nothing to stop it. |
and the various earthy and dusty materials which throng the air. with regard to these questions, it is wrong to accept the explanation offered by democritus. |
height of dignity and rule, showed her no compassion, but abolishing her democratic government, imposed on her the most cruel and lawless tyrants. |
in so far as they are products of art-have no innate impulse to change. |
he appears to have been the first person who wrote a treatise on natural philosophy, as phavorinus affirms, in his universal history; and he used to argue that the moon had the same nature for ever which she had at that moment. |
and secondly, the fact that the heavens do not break in pieces follows not only from this but also from the proof already given of the continuity of the whole. |
yet, strictly speaking-and the remark applies to ancient physics generally-this high a priori road was based upon a posteriori grounds. for there were no facts of which the ancients were so well assured by experience as facts of number. |
and do so; he can then take my master's pigs out when he has done breakfast in the morning. |
of rome meanwhile, so much as was left unoccupied by his mansion, was not built up, as it had been after its burning by the gauls, without any regularity or in any fashion, but with rows of streets according to measurement, with broad thoroughfares, with |
now connection is not an operation of mere sense and intuition, but is the product of a synthetical faculty of imagination, which determines the internal sense in respect of a relation of time. |
apparently, however, his spirit retreated and fled in advance and was in remote distances, and as it were "wandering on high mountain-ridges," as it standeth written, "'twixt two seas, |
the animal is a sort of 'world' to the particles of the blood which circulate in it. |
that being so, it is evident that, if the motion be single, both processes cannot occur since they are contrary to one another: for it is a law of nature that the same cause, provided it remain in the same condition, always produces the same effect, so |
the first stage in the objectivation of intelligence or in the evolution of personality is the constitution of mere, abstract, or strict right. it is the creation of institutions and uniformities, i.e. |
his conception of the origin of states is far truer in the laws than in the republic; but it must be remembered that here he is giving an historical, there an ideal picture of the growth of society. |
socrates: does not a man cease from his thirst and from his pleasure in drinking at the same time? |
twenty. the diagonal of a rectangle is four.twenty five perches, and its area is seven.fifty square perches; what are its dimensions? |
he advised, moreover, "to threaten no one; for that is a womanly trick. to be more prompt to go to one's friends in adversity than in prosperity. to make but a moderate display at one's marriage. not to speak evil of the dead. |
xi. designation of angles.-a particular angle in a figure is denoted by three letters, as bac, of which the middle one, a, is at the vertex, and the other two along the legs. the angle is then read bac. |
twenty four. the first are resemblances; the second thought to be resemblances, but are not, the third neither are nor are thought so. |
socrates is nowhere represented to us as a freethinker or sceptic. there is no reason to doubt his sincerity when he speculates on the possibility of seeing and knowing the heroes of the trojan war in another world. |
phaedrus: yes, indeed; that you did, and no mistake. |
(three) what naturally admits of being gone through, but is not actually gone through or does not actually reach an end. |
as, therefore, it must be presumed the cities of athens and lacedaemon were built for the athenians and lacedaemonians, and as everything there is said to belong to those people, so everything in the universe may with propriety be said to belong to the |
for teeth and all other natural things either invariably or normally come about in a given way; but of not one of the results of chance or spontaneity is this true. |
wretch, you should have commanded some other and baser army, and not been ruler over us to whom jove has allotted a life of hard fighting from youth to old age, till we every one of us perish. |
that we must not seek the universal laws of nature in nature by means of experience, but conversely must seek nature, as to its universal conformity to law, in the conditions of the possibility of experience, which lie in our sensibility and in our |
being from another. now tell a man that he should never make a deceitful promise, this is a rule which only concerns his will, whether the purposes he may have can be attained thereby or not; it is the volition only which is to be determined a priori by |
iii. a circle is said to be inscribed in a rectilineal figure when it touches each side of the figure. reciprocally, a circle is said to be circumscribed to a rectilineal figure when it passes through each angular point of the figure. |
and though it be true, that many eys see more then one; yet it is not to be understood of many counsellours; but then only, when the finall resolution is in one man. |
derived--rules which our reason is afterwards obliged to establish on other foundations, when by its successive developments it has been led to suppress nature itself. |
the motion begins to cease when the motive force produced in one member of the consecutive series is at each stage less than that possessed by the preceding member, and it finally ceases when one member no longer causes the next member to be a movent but |
form as that of flesh as if, e.g. 'moist' were to accede to 'dry' and, having acceded, were to be transformed and to become 'dry'. for in one sense 'like grows by like', but in another sense 'unlike grows by unlike'. |
oh what a splendid progress of yours was that in the months of april and may, when you attempted even to lead a colony to capua! how you made your escape from thence, or rather how you barely made your escape, we all know. |
so fared the foe and so fell back; but the hellenes, continuing their march in safety for the rest of that day, reached the river tigris. |
they may have them to use in the service of philosophy; as life advances and the intellect begins to mature, let them increase the gymnastics of the soul; but when the strength of our citizens fails and is past civil and military duties, then let them |
the distinction must be investigated once more, for it demands some explanation. |
however that may be, i was struck by the peculiar toughness of the steel which bore so many violent blows without being worn out. |
but in making the distribution, let the several possessors feel that their particular lots also belong to the whole city; and seeing that the earth is their parent, let them tend her more carefully than children do their mother. |
phocion never allowed himself from any feeling of personal hostility to do hurt to any fellow-citizen, nor, indeed, reputed any man his enemy, except so far as he could not but contend sharply with such as opposed the measures he urged for the public |
finally they determined to sail for himera, especially as the four athenian ships which nicias had at length sent off, on hearing that they were at locris, had not yet arrived at rhegium. |
what materials, what tools, what bars, what machines, what servants, were employed in so vast a work? how could the air, fire, water, and earth pay obedience and submit to the will of the architect? |
four. if four magnitudes be continual proportionals, the ratio of st : th is equal to the cube of the ratio of st : nd. this may be proved exactly like three. |
the first step taken by the two generals after their meeting was to send a herald to the camp on the mainland, to ask if they were disposed to avoid all risk and to order the men on the island to surrender themselves and their arms, to be kept in gentle |
always and in every case, whatever the terms to which it is added, in predication, e.g. 'it is not-good' or 'it is not-white' or in a word 'it is not-this'. but this also will be proved in the sequel. |
became a wise man to preserve an untroubled spirit in that manner. numenius is the only writer who asserts that he used to deliver positive dogmas. |
but ex hypothesi ab is in motion essentially and primarily. therefore if gb is not in motion ab will be at rest. but we have agreed that that which is at rest if something else is not in motion must be moved by something. |
consequently the pure conceptions of the understanding, even when they are applied to intuitions a priori (as in mathematics), produce cognition only in so far as these (and therefore the conceptions of the understanding by means of them) can be applied |
on this account one submit the following alternative proof, which, however, makes use of a new definition of the duplicate ratio of two lines, viz. the ratio of the squares (see annotations on five. def. x.) described on these lines. |
he had ordered payment to one of his friends of twenty-five myriads of money, or decies, as the romans call it, and his steward, wondering at the extravagance of the sum, laid all the silver in a heap, as he should pass by. |
but he, having comforted and encouraged them as well as he could, got on horseback, and being accompanied with ten of his friends and his son, then a youth, got away to the sea-side, and finding vessels there waiting off the shore, went on board of them |
for, as it is noted, by one of the fathers, christ's coat indeed had no seam, but the church's vesture was of divers colors; whereupon he saith, in veste varietas sit, scissura non sit; they be two things, unity and uniformity. |
gardens and other accessories that embellish a great fortune, and as, in comparison, of little moment. |
a maid servant brought them water in a beautiful golden ewer, and poured it into a silver basin for them to wash their hands, and she drew a clean table beside them; an upper servant brought them bread and offered them many good things of what there was |
it is said indeed that the number of the ships destroyed was three hundred, three thousand one, and more than twenty thousand men; for as this sea which is about athos is very full of sea monsters, some were seized by these and so perished, while others |
the 'substantial' union of hearts makes marriage an indivisible personal bond-monogamic marriage: the bodily conjunction is a sequel to the moral attachment. a further sequel is community of personal and private interests. |
but if that is what you really think has happened, you can render this whole scheme of ours null and void in an instant by exacting from him the money which is your due. |
proved itself the disciplinary means whereby the european spirit has attained its strength, its remorseless curiosity and subtle mobility; granted also that much irrecoverable strength and spirit had to be stifled, suffocated, and spoilt in the process |
as for aratus, he was in his behavior a true statesman, high-minded, and more intent upon the public than his private concerns, a bitter hater of tyrants, making the common good the rule and law of his friendships and enmities. |
soul, is pleasanter than the vicious life, and far superior in beauty and rectitude and excellence and reputation, and causes him who lives accordingly to be infinitely happier than the opposite. |
dem.-since the ratio c : b is greater than the ratio c : a, |
for it is possible for a man to be happy without any of these things; and also, it is upon the character of the use that is made of them, that happiness or unhappiness depends. |
now, logic in its turn may be considered as twofold-namely, as logic of the general, or of the particular use of the understanding. |
sixteen. the three perpendiculars at the middle points of the sides of a triangle are concurrent. hence prove that perpendiculars from the vertices on the opposite sides are concurrent see ex. two . |
successors of plato,-for the elucidation of it. |
let him therefore consider with himselfe, when taking a journey, he armes himselfe, and seeks to go well accompanied; when going to sleep, he locks his dores; when even in his house he locks his chests; and this when he knows there bee lawes, and publike |
an experienced king, artabanus knew that men do not necessarily feign hatred because they are false in friendship. |
now the head, the hand, and such things are substances, and it is possible to know their essential character definitely, but it does not necessarily follow that we should know that to which they are related. |
while he was pacifying the alpine regions, and subduing the enemies whom he found in the midst of the roman empire, while he was extending its boundaries beyond the rhine, the euphrates, and the danube, at rome itself the swords of murena, caepio, |
xi. all right angles are equal to one another. |
possess no forces which will be friendly and faithful to them. |
two. how many in the conclusion? name them. |
fifteen. "the wise man is but little favoured by fortune; but his reason procures him the greatest and most valuable goods, and these he does enjoy, and will enjoy the whole of his life. |
pompey, as others had done, to set the general's tent on fire. |
so arion being driven to a strait entreated them that, since they were so minded, they would allow him to take his stand in full minstrel's garb upon the deck twenty of the ship and sing; and he promised to put himself to death after he had sung. |
"either let us go over to his system, if it is better than ours, or let those who desire change have their leader and adviser taken from them. that sect of his gave birth to the tuberones and favonii, names hateful even to the old republic. |
thus he may abridge his travel, with much profit. |
he put the moon in the orbit which was nearest to the earth, the sun in that next, the morning star and mercury in the orbits which move opposite to the sun but with equal swiftness-this being the reason why they overtake and are overtaken by one another. |
how then will he who takes up a shield or other implement of war become a good fighter all in a day, whether with heavy-armed or any other kind of troops? |
object, like the figure, as in course of formation. |
are subjects of praise: a superiority he attributed also to a god and the chief good, on the ground that they form the standard to which everything besides is referred. |
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