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nothing, then, is gained even if we suppose eternal substances, as the believers in the forms do, unless there is to be in them some principle which can cause change; nay, even this is not enough, nor is another substance besides the forms enough; for if |
these principles have been analysed in the discussion of the movements of animals, for the reason that they are proper to animal nature. |
sol.-let o (fig. one) be the centre of the given circle. join op, cutting the circumference in one hundred. with o as centre, and op as radius, describe the circle ape. erect ca at right angles to op. join oa, intersecting the circle bcd in b. |
if everything that is in motion with the exception of things that move themselves is moved by something else, how is it that some things, e.g. things thrown, continue to be in motion when their movent is no longer in contact with them? |
the gods themselves are full of trouble and enmity and anger and other passions, which no way become or belong to even men that have any understanding. |
on the other hand he doctors or fails to doctor qua doctor. but we are using words most appropriately when we say that a doctor does something or undergoes something, or becomes something from being a doctor, if he does, undergoes, or becomes qua doctor. |
three. what more adverse decisions, o marcus antonius, can you want? caesar, who has levied an army against you, is extolled to the skies. |
four. in the same case, find the loci of the angular points of a square described on one of the sides. |
and one attalus in seneca says, that the memory of our lost friends is as grateful to us, as bitterness in wine, when too old, is to the palate: |
achilles looked at him sternly and said, "vex me, sir, no longer; one am of myself minded to give up the body of hector. my mother, daughter of the old man of the sea, came to me from jove to bid me deliver it to you. |
others, while agreeing as to the heads, say nevertheless that the body is not pushed down from the top of the cliff, but buried in the earth. this divinity to whom they sacrifice, the tauroi themselves say is iphigeneia the daughter of agamemnon. |
memory of my father, and mother, and brothers, and myself, and that my birth-day may be kept as it has been in the habit of being kept, on the tenth day of the month gamelion; and that the re-union of all the philosophers of our school, established in |
again, there is another point of view from which it will be clearly seen that locomotion is primary. as in the case of other things so too in the case of motion the word 'primary' may be used in several senses. |
the athenians would not let any of them go, but themselves called for heralds from the mainland, and after questions had been carried backwards and forwards two or three times, the last man that passed over from the lacedaemonians on the continent brought |
not. so out of sense-perception comes to be what we call memory, and out of frequently repeated memories of the same thing develops experience; for a number of memories constitute a single experience. from experience again-i.e. |
antony then convened the senate, and spoke in favor of an act of oblivion, and the appointment of brutus and cassius to provinces. these measures the senate passed; and resolved that all caesar's acts should remain in force. |
such for instance, is this idea: "man is a being of such and such a nature." at the same moment that we utter the word man, we conceive the figure of a man, in virtue of a preconception which we owe to the preceding operations of the senses. |
which every man cast in one, into a vessell marked for the affirmative, or negative; for divers cities had divers customes in that point. |
two kinds of motion were assigned to them-first, the revolution in the same and around the same, in peaceful unchanging thought of the same; and to this was added a forward motion which was under the control of the same. |
accomplished those things for them of which i speak; and when they had returned home they set up a temple dedicated to boreas by the river ilissos. |
that of the heavy and the light, the bodies are thought to have a spring of change within themselves, while the subjects of healing and increase are thought to be moved purely from without. sometimes, however, even they change of themselves, ie. |
some authors, however, of whom dioscorides is one (who wrote a treatise on the commonwealth of sparta), say that he was wounded indeed, but did not lose his eye with the blow; and that he built the temple in gratitude for the cure. |
the history of a tiberius or a nero makes us dread a like tyranny, were our monarchs freed from the restraints of laws and senates: but the observation of any fraud or cruelty in private life is sufficient, with the aid of a little thought, to give us the |
the vain person rejoices over every good opinion which he hears about himself (quite apart from the point of view of its usefulness, and equally regardless of its truth or falsehood), just as he suffers from every bad opinion: for he subjects himself to |
by their popular name of brigadiers. the guardians of the law shall propose as generals men who are natives of the city, and a selection from the candidates proposed shall be made by those who are or have been of the age for military service. |
may it not equally be led away from its true interests to the pursuit of pleasure or of something which is really harmful to it? |
now neptune had gone off to the ethiopians, who are at the world's end, and lie in two halves, the one looking west and the other east.one he had gone there to accept a hecatomb of sheep and oxen, and was enjoying himself at his festival; but the other |
while he was immolating, the tufted cap which the flamens wear had fallen from his head. |
accelerate, could be received with regret. he put on, however, in his countenance and demeanor, the semblance of grief: for he was now secured from an object of hatred, and could more easily conceal his joy than his fear. |
he will govern us vindictively in another. |
"there is nothing at first so grand, so admirable, which by degrees people do not regard with less admiration."--lucretius, ii. one thousand twenty seven |
near this salt hill is a mountain named atlas, which is small in circuit and rounded on every side; and so exceedingly lofty is it said to be, that it is not possible to see its summits, for clouds never leave them either in the summer or in the winter. |
which are the testing instruments of the tongue, reaching to the heart, and fall upon the moist, delicate portions of flesh-when, as they are dissolved, they contract and dry up the little veins, they are astringent if they are rougher, but if not so |
you, antiphon, would seem to suggest that happiness consists of luxury and extravagance; i hold a different creed. |
but may we say that things are always commensurable if the same terms are applied to them without equivocation? e.g. |
"they should have asked this question also, how relative terms are many and not one. but as it is, they inquire how there are many units besides the first one, but do not go on to inquire how there are many unequals besides the unequal. |
like some philosophers in modern times, who are accused of making a theory first and finding their facts afterwards, the advocates of either opinion never thought of applying either to themselves or to their adversaries the criterion of fact. |
five. divide a right angle into five equal parts. |
according to our general doctrine of sensation, parts of the body which are easily moved readily transmit the motion to the mind; but parts which are not easily moved have no effect upon the patient. |
the same is the case with those who drive the slower draught cattle, which, though brutal treatment and wretchedness is their lot from their birth, still, by excessive cruelty may be made to refuse to draw. |
meantime, people are very merry in a thousand other parts of the earth for all this? for my part, considering the licence and impunity that always attend such commotions, i wonder they are so moderate, and that there is no more mischief done. |
but when we come to a point we cannot make a distinction between it and its place. |
two. if one angle of a triangle be equal to the sum of the other two, the triangle can be divided into the sum of two isosceles triangles, and the base is equal to twice the line from its middle point to the opposite angle. |
eyes with fennel; the storks to give themselves clysters of sea-water; the elephants to draw not only out of their own bodies, and those of their companions, but out of the bodies of their masters too (witness the elephant of king porus whom alexander |
these are the consequences that result from a difference in the media; the following depend upon an excess of one moving body over another. |
equilateral triangles, if put together, make out of every three plane angles one solid angle, being that which is nearest to the most obtuse of plane angles; and out of the combination of these four angles arises the first solid form which distributes |
such, then, are the traditional theories, and it looks as if the statements of their advocates were in manifest conflict. |
for in the universe, which is a sphere, there is no opposition of above or below, and that which is to us above would be below to a man standing at the antipodes. |
can anything be so pliable, so wavering, as the mind of a man whose attitude depends not only on another's feeling and wish, but on his very looks and nods? |
of the sicels until it reached catana, while the fleet sailed along the coast with the slaves on board. |
it will be true to say now that this exists last year or in the past generally. |
"what," said he, "are you going to strike me again?" he used to say that the demagogues were the servants of the people; and garlands the blossoms of glory. having lighted a candle in the day time, he said, "i am looking for a man." |
from the knowledge of gods and men, would you do it? the condition, they say, is impossible. of course it is. but my question is, if that were possible which they declare to be impossible, what, pray, would one do? |
a similar inquiry is made by those who inquire into the number of existents: for they inquire whether the ultimate constituents of existing things are one or many, and if many, whether a finite or an infinite plurality. |
the book is not really what to most persons the title of it would imply, and belongs to an age which has passed away. but it contains many fine passages and thoughts which are for all time. |
for boethus leaves a great many criteria, such as intellect, sensation, appetite, and knowledge; but chrysippus dissents from his view, and in the first book of his treatise on reason, says, that sensation and preconception are the only criteria. |
his margites bears the same relation to comedy that the iliad and odyssey do to tragedy. |
the heavenly bodies are endowed with thought; the principles of the same and other exist in the universe as well as in the human mind. |
on the other hand, if they were created by me and received life at my hands, they would be on an equality with the gods. |
suppose some one to have defined 'medicine' as a science of reality'. |
and what do you say to his receiving the right hand of fellowship? |
reckoning, do not begin to number very early, nor proceed in it very far or steadily, till a good while after they are well furnished with good store of other ideas: and one may often observe them discourse and reason pretty well, and have very clear |
but the race of birds was created out of innocent light-minded men, who, although their minds were directed toward heaven, imagined, in their simplicity, that the clearest demonstration of the things above was to be obtained by sight; these were |
are no better-not that one mean to depreciate them; but every one can see that they are a tribe of imitators, and will imitate best and most easily the life in which they have been brought up; while that which is beyond the range of a man's education he |
one. given the base of a triangle and the vertical angle, find the locus- |
is two right angles; therefore the sum of the angles bgh, ghd is two right angles. |
they are divisible into kinds, as colour is divided into white and black, and they are divisible per accidens when that which has them is divisible. in this latter sense attributes which are simple are nevertheless divisible. |
for up to what limit is it divisible? and for what reason is part of the whole indivisible, i.e. a plenum, and part divided? further, they maintain, it is equally necessary to deny the existence of motion. |
but it would not be because there was no other region in which it could be carried along that it would remain at the centre, but because this is its nature. yet in this case also we may say that it fixes itself. |
if four magnitudes be proportional, the difference between the first and second : the second :: the difference between the third and fourth : the fourth (dividendo). |
for the nature of the universe, is the nature the common parent of all, and therefore piously to be observed of all things that are, and that which now is, to whatsoever first was, and gave it its being, hath relation of blood and kindred. |
dem.-let a : b :: c : d; then a- b c d; and if a be greater than b, a b- is greater than unity; therefore c d is greater than unity, and c is greater than d. |
maiander and pass by the city of callatebos, where men live whose trade it is to make honey of the tamarisk-tree and of wheat-flour. |
"alas, what a series of labors upon labors! if i am never to end my service as a soldier, nor to escape from this invidious greatness, and live at home in the country with my wife, i had better have been an unknown man." |
other uphill. moreover it does not as a matter of fact make any difference to the argument to say that the one motion must inevitably be quicker or slower than the other: for then the circumference can be greater or less than the straight line; and if so |
a thing is said to be prior to other things when, if it does not exist, the others will not exist, whereas it can exist without the others: and there is also priority in time and priority in perfection of existence. |
but the story of the ethiopian is very famous, who meeting the standard-bearer at the opening the gate of the camp, was cut to pieces by the soldiers, that took it for an ill omen. |
dem.-draw any secant ghk. then since ab and ef are parallel, the angle agh is equal to ghf xxix. . in like manner the angle ghf is equal to hkd xxix. . therefore the angle agk is equal to the angle gkd (axiom i.). hence xxvii. |
and he buried her in this cow; and her mother cut off the hands of the maids who had betrayed the daughter to her father; wherefore now the images of them have suffered that which the maids suffered in their life. |
coming-to-be presupposes your father's, his coming-to-be does not presuppose yours)? why, on the contrary, does this coming-to-be seem to constitute a rectilinear sequence? |
let them behold and see a man, that is a man indeed, living according to the true nature of man. if they cannot bear with me, let them kill me. for better were it to die, than so to live as they would have thee. |
everything else is composed-the compounds differing one from another according to the shapes, 'positions', and 'groupings' of their constituents.) |
this reason or cause must either be contained in the nature of the thing in question, or be external to it. for instance, the reason for the non--existence of a square circle is indicated in its nature, namely, because it would involve a contradiction. |
the remaining phenomena of the same kind there will be no difficulty in reasoning out by the method of probabilities. |
'to know or tell the origin of the other divinities is beyond us, and we must accept the traditions of the men of old time who affirm themselves to be the offspring of the gods-that is what they say-and they must surely have known their own ancestors. |
to be sure, he said; and he will be able to trust them best of all. |
athenian: he is a troublesome piece of goods, as has been often shown by the frequent revolts of the messenians, and the great mischiefs which happen in states having many slaves who speak the same language, and the numerous robberies and lawless life of |
occasionally we find certain solutions of problems which make strong beliefs for us; perhaps they are henceforth called "convictions." |
and it is not my eyes only, because i had all my life a personal experience of it, that never lose sight of it: it will shine to posterity also with undimmed glory. |
the trojans pressed forward in a dense body, with hector striding on at their head. before him went phoebus apollo shrouded in cloud about his shoulders. |
besides, you know not, while you here attend, th' unworthy fate of your unhappy friend: breathless he lies; and his unburied ghost, depriv'd of fun'ral rites, pollutes your host. |
and consequently men had need to be very circumspect, and wary, in obeying the voice of man, that pretending himself to be a prophet, requires us to obey god in that way, which he in gods name telleth us to be the way to happinesse. |
abstaining from a work by right prescribed never is meet! so to abstain doth spring from "darkness," and delusion teacheth it. abstaining from a work grievous to flesh, when one saith "'tis unpleasing!" this is null! |
the whole description is figurative, as plato himself implies when he speaks of a 'fountain of fire which we compare to the network of a creel.' he really means by this what we should describe as a state of heat or temperature in the interior of the body. |
on the other hand it may be doubted whether our present notions of property are not conventional, for they differ in different countries and in different states of society. |
moreover, you even sought to move his pity; you threw yourself at his feet as a suppliant; begging for what? to be a slave? |
and if we consider the matter in yet a third wa ly we shall get this same result as follows. |
content to know something of everything and nothing thoroughly, so as to please every party. |
wherefore also god in the beginning of creation made the body of the universe to consist of fire and earth. but two things cannot be rightly put together without a third; there must be some bond of union between them. |
addressed to arybas; one addressed to hephstion; two on geometry; seven books of verses. |
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