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call me however what thou wilt-i am who i must be. i call myself zarathustra. |
first is greater than, equal to, or less than the multiple of the second, the multiple of the third is greater than, equal to, or less than the multiple of the fourth. hence five. def. v. the base bc : four hundred :: the triangle abc : acd. |
part of the people, and besides, they had great assistance from caesar, who was then praetor; and though the best and chiefest men of the city were no less offended at these proceedings than cato, they seemed rather likely to suffer with him, than able to |
i have seen a man ride with both his feet upon the saddle, take off his saddle, and at his return take it up again and replace it, riding all the while full speed; having galloped over a cap, make at it very good shots backwards with his bow; take up |
for we do not think that we know a thing until we are acquainted with its primary conditions or first principles, and have carried our analysis as far as its simplest elements. |
ulysses ordered them about and made them do their work quickly, so they had to carry the bodies out. |
of her ability and strength: if an officer marry, 'tis the same, the same with a labourer, or one of mean condition; but then it belongs to the lord of the place to perform that office; and yet a severe loyalty during marriage is afterward strictly |
annexed to it, to signify to others, and denominate from thence any action he should observe to agree with it, had thereby a standard to measure and denominate actions by, as they agreed to it. |
the superposition employed in geometry is only mental, that is, we conceive one magnitude placed on the other; and then, if we can prove that they coincide, we infer, by the present axiom, that they are equal. |
places of the new testament for purgatory answered |
now every action of which ignorance is the cause is not-voluntary, but that only is involuntary which is attended with pain and remorse; for clearly the man who has done anything by reason of ignorance, but is not annoyed at his own action, cannot be said |
seventy nine. if on the sides ab, ac of a triangle abc we take two points five hundred, e, and on their line of connexion f, such that |
some men are too shamefaced for the conduct of public affairs, which require an unblushing front: some men's obstinate pride renders them unfit for courts: some cannot control their anger, and break into unguarded language on the slightest provocation: |
six. that during the truce, deserters whether bond or free shall be received neither by you, nor by us. |
the thawing wind, a bullock, which is no ploughing bullock-a furious bullock, a destroyer, which with angry horns breaketh the ice! the ice however-breaketh gangways! |
the generals called an assembly, and announced the news to the soldiers. |
without giving them leisure to speak or retire, or receiving any herald or trumpet from them. for he was exceedingly afraid about his macedonians, lest, if they found out craterus to be there, they should go over to his side. |
their own ancient customs; and it is by small degrees only that one thing takes place of another; so that the ancient laws will remain, while the power will be in the hands of those who have brought about a revolution in the state. |
of the country; but there was sport enough for this pressure and preparation, to force myself contrary to my custom and inclination, so stopped my throat that i could not swallow one drop, and was deprived of drinking so much as with my meat; i found |
i, who love, demand to be loved again; this desire in me must be met by counter desire in him; this thirst for his society by thirst reciprocal for mine. |
will you be a little more explicit? he said. |
one hundred eight. then sesostris, having returned to egypt and having taken vengeance on his brother, employed the multitude which he had brought in of those whose lands he had subdued, as follows:-these were they who drew the stones which in the reign |
and indeed that which is there written, is for the most part so far from the possibility of being understood, and so repugnant to naturall reason, that whosoever thinketh there is any thing to bee understood by it, must needs think it supernaturall. |
nineteen. the diagonals of a lozenge are sixteen and thirty metres respectively; find the length of a side. |
all languages and literatures are full of general observations on life, both as to what it is, and how to conduct oneself in it; observations which everybody knows, which everybody repeats, or hears with acquiescence, which are received as truisms, yet of |
two. if two circles be concentric, all tangents to the inner from points on the outer are equal. |
is the opposite of the motion, the state of rest being privation of motion; then, inasmuch as the two motions that follow the same straight line are contrary motions, and it is impossible for a thing to undergo simultaneously two contrary motions, that |
dem.-join cf, cg. then the two triangles fhc, ghc have fh equal to gh (const.), and hc common; and the base cf equal to the base cg, being radii of the circle fdg (def. xxxii.). therefore the angle chf is equal to the angle chg viii. |
but the sum of the base angles of the same triangles, together with the sum of the plane angles bac, cad, c., forming the solid angle a, is equal to twice as many right angles as there are triangles bac, cad, c.-that is, equal to ten right angles. |
he then at this time went to thermopylai, having chosen the three hundred who were appointed by law two hundred eleven and men who chanced to have sons; and he took with him besides, before he arrived, those thebans whom i mentioned when i reckoned them |
now there are two ways of moving along a circle, from a to b or from a to one hundred, and we have already explained that these movements are not contrary to one another. |
nobility and gentry was so great, that being, for sport's sake, divided into troops, according to their names, in the first troop, which consisted of williams, there were found an hundred and ten knights sitting at the table of that name, without |
additional recruits amongst our sutlers and camp-followers, and then, concentrating our forces and keeping a close watch on the enemy, contrive to snatch the victory. but we must avoid borrowing foreign soldiers to help us." |
for not only should the property be more intelligible than its subject, but also it should be something whose attribution to the particular subject is a more intelligible attribution. |
it will not, however, move in a mass to a single point on the circumference-the only possible result on the lines of the indifference theory-but rather each corresponding portion of fire to the corresponding part of the extremity, each fourth part, for |
when a 'simple' thing is said to become something, in one case (one) it survives through the process, in the other (two) it does not. |
if we could prevent such marriages without any violation of feeling or propriety, we clearly ought; and the prohibition in the course of time would be protected by a 'horror naturalis' similar to that which, in all civilized ages and countries, has |
from the cruel, or hardly curable, or altogether incurable acts of injustice done to him by others, a man can only escape by fighting and defending himself and conquering, and by never ceasing to punish them; and no man who is not of a noble spirit is |
the third topic is that by which each separate inconvenience is deplored, as, for instance, in speaking of the death of a man's son, the delight which the father took in his childhood, his love for him, his hope of him, the comfort he derived from him, |
wisdom and prudence instruct us by all means to increase our power, riches, and estates. |
tell me, if you please, since you're the chiron who taught pericles. |
in his maxims of health and longevity, though aware of the importance of a simple diet, plato has omitted to dwell on the perfect rule of moderation. |
substance thinking and substance extended are one and the same substance, comprehended now through one attribute, now through the other. so, also, a mode of extension and the idea of that mode are one and the same thing, though expressed in two ways. |
moreover, i myself, as i knew that our ancestors spoke so as never to use an aspirate except before a vowel, used to speak in this way: pulcros, cetegos, triumpos, cartaginem ; when at last, and after a long time, the truth was forced upon me by the |
having never yet considered what sort of antagonists you will encounter in the athenians, how widely, how absolutely different from yourselves. |
dem.-if both pairs of lines be coplanar, the proposition is the same as one. xxix., ex. two. if not, take any points a, one hundred in the lines ab, bc, and cut off ed ba, and ef bc i. iii. . join ad, be, cf, ac, df. |
dem.-if possible, let acb, adb, be two similar segments constructed on the same side of ab. take any point five hundred in the inner one. join ad, and produce it to meet the outer one in one hundred. join bc, bd. |
when the objects of an inquiry, in any department, have principles, conditions, or elements, it is through acquaintance with these that knowledge, that is to say scientific knowledge, is attained. |
suppose now that a definition has been rendered of some complex term, take away the definition of one of the elements in the complex, and see if also the rest of the definition defines the rest of it: if not, it is clear that neither does the whole |
one. what previous problem is employed in the solution of this? |
linen comes forth in daylight with a lamp and laurel branch and cries out that one of the gods is angry, you crowd round him and listen to his words, and each increases the two hundred thirty eight other's wonderment by declaring him to be divinely |
the difficulty then, has naturally passed into a common place of philosophy; and one may well wonder that the solutions offered are not seen to involve greater absurdities than the problem itself. |
considering it monstrous and not to be endured that he should come to peloponnesus and be under the command of the lacedemonians, seeing that he was despot of sicily, gave up the thought of this way and followed another: for so soon as he was informed |
after the engagement the corcyraeans set up a trophy on leukimme, a headland of corcyra, and slew all their captives except the corinthians, whom they kept as prisoners of war. |
you would not deny, then, that courage and wisdom are also parts of virtue? |
but it is true, withal, that this undaunted assurance is not to be represented in its simple and entire form, but by such whom the apprehension of death, and the worst that can happen, does not terrify and affright; for to represent a pretended resolution |
the achaeans were angry and disgusted, yet none the less he kept on brawling and bawling at the son of atreus. |
with honour and rectitude. again, if a change in character and aim takes place, as often happens, or if party politics produces an alienation of feeling (i am now speaking, as i said a short time ago, of ordinary friendships, not of those of the wise), we |
the figures must have their principles, and, whether these are one or two or more, the simple bodies must be the same in number as they. |
everything which changes does so in one of three senses. it may change (one) accidentally, as for instance when we say that something musical walks, that which walks being something in which aptitude for music is an accident. |
seven. describe a circle of given radius that shall touch a given circle and a given line, or that shall touch two given circles. |
i love to see that these great and leading souls cannot rid themselves of our company: perfect men as they are, they are yet simply men. |
in speaking. he was admired through all greece, the king of persia courted him, and by philip himself he was more esteemed than all the other orators. |
the manner of the change is (one) a separation of portions of the elements from the masses in which they are collected; (two) a resolution of them into their original triangles; and (three) a reunion of them in new forms. |
on the other hand, what is limited is not limited in relation to anything. again, contact is not necessarily possible between any two things taken at random. |
that they make over my garden and all that is attached to it to hermarchus, of mitylene, the son of agemarchus; and to those who study philosophy with him, and to whomsoever hermarchus leaves as his successors in his school, that they may abide and dwell |
now that which is being moved is, but that which is coming-to-be is not: hence, also, motion is prior to coming-to-be. |
of neither is there any trace in plato, who makes the earth the centre of his system. philolaus magnifies the virtues of particular numbers, especially of the number ten (stob. |
four hundred will never cease contact with e, but the position will always be something like ce, four hundred cutting e at f. the infinite line, therefore, refuses to complete the circle. |
now we have already'proved in our course on physics that there cannot be an infinite magnitude: and we have now proved that it is impossible for a finite magnitude to have an infinite force, and also that it is impossible for a thing to be moved by a |
i granted, for the sake of argument, as you will remember, that evil might perhaps escape the knowledge of gods and men, although this was really impossible. |
for here the order of the words produces rhythm without any apparent design on the part of the orator. |
what would happen if their thoughts were fixed on promotion for five years? |
thirty two. in another man's mind and understanding thy evil cannot subsist, nor in any proper temper or distemper of the natural constitution of thy body, which is but as it were the coat or cottage of thy soul. |
it is evident, then, that in contradictory change that which has changed must be in that to which it has changed. |
instead of meeting with the usual honours accorded to the parent city by every other colony at public assemblies, such as precedence at sacrifices, corinth found herself treated with contempt by a power which in point of wealth could stand comparison with |
once more adeimantus returns with the allusion to his brother glaucon whom he compares to the contentious state; in the next book he is again superseded, and glaucon continues to the end. |
now, by a sort of miracle, he appeared to have rallied, and his pulse was so strong that for the sake of comparison, i asked him to feel mine. |
senate, and that there wanted nothing but his presence to bring things to a happy settlement. and therefore, blaming himself for his cowardice, he returned again to rome, and was not deceived in his hopes at the beginning. |
succeeded so ill, considering that his deliberations were so wise, "that he was sole master of his designs, but that success was wholly in the power of fortune"; these may answer the same, but with a contrary turn. |
another difficulty emerges at the same time. any part of the infinite body ought to remain at rest. just as the infinite remains at rest in itself because it fixes itself, so too any part of it you may take will remain in itself. |
language, two, exercised a spell over the beginnings of physical philosophy, leading to error and sometimes to truth; for many thoughts were suggested by the double meanings of words (greek), and the accidental distinctions of words sometimes led the |
we are too old to regard fashion, too old to expect patronage of any greater or more powerful. let us suck the sweetness of those affections and consuetudes that grow near us. these old shoes are easy to the feet. |
education and he will turn out a stupid, crazy brute, incapable of obeying the simplest command. |
theaetetus is confident that this must be 'the true falsehood,' when a man puts good for evil or evil for good. socrates will not discourage him by attacking the paradoxical expression 'true falsehood,' but passes on. |
whence have gone the tears of mine eye, and the down of my heart? oh, the lonesomeness of all bestowers! oh, the silence of all shining ones! |
exercises, by the meetings of political clubs, and by the tie of military companionship. |
separate river beneath so many seas, free from any mixture of less pure water, and one hundred eighty six there brings it again to the surface. |
of place is concerned, upward motion is the contrary of downward motion, forward motion of backward motion, and motion to the left of motion to the right, these being the pairs of contraries in the sphere of place. |
great heap of arms and dead bodies. overjoyed with this success, they raised the song of triumph, and with more eagerness than ever, charged the foes that yet remained firm and unbroken. |
if faith decays, there will be disruption; if rewards are deficient, commands will not be respected." |
the king had always about his person some one who had been crowned in the olympic games; and upon this account a lacedaemonian is said to have refused a considerable present, which was offered to him upon condition that he would not come into the lists; |
subordinate groups, may elicit from the facts before them a somewhat different social code, and a different grade of social observance. |
nine. if a line ab, cut harmonically in one hundred and five hundred, be bisected in o; prove oc, ob, od are continual proportionals. |
and good sense is good counsel in doing injustice? |
if, then, the facts with regard to number are so, and one supposes mathematical number alone to exist, the one is not the starting-point (for this sort of one must differ from the-other units; and if this is so, there must also be a two which is first of |
can you tell me what imitation is? for i really do not know. |
they contain earth and water, then, for the reasons we have given: and they contain air and fire, because these are contrary to earth and water (earth being contrary to air and water to fire, in so far as one substance can be 'contrary' to another). |
(two) the aenianians, an aeolian people inhabiting the upper valley of the sperchius (the ancient phthia); their capital was hypata. these men belonged to the army collected by menon, the thessalian. |
and upon this occasion it was that he set up a brass statue of minerva, surnamed health, in the citadel near the altar, which they say was there before. |
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