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the justification for gifts of money, therefore, is either necessity or expediency. fifty nine the golden mean is best. and in making them even in such cases, the rule of the golden mean is best. |
are the actions of the same person much diversified in the different periods of his life, from infancy to old age? |
fire, air, earth, and water are bodies and therefore solids, and solids are contained in planes, and plane rectilinear figures are made up of triangles. |
on the other hand it has been urged that if the earth goes round with the outer heaven and sun in twenty-four hours, there is no way of accounting for the alternation of day and night; since the equal motion of the earth and sun would have the effect of |
they indeed who hold the soul of man to be only a thin vital flame, or system of animal spirits, make it perishing and corruptible as the body; since there is nothing more easily dissipated than such a being, which it is naturally impossible should |
for, whereas the platonists argue that there must be atomic magnitudes 'because otherwise "the triangle" will be more than one', democritus would appear to have been convinced by arguments appropriate to the subject, i.e. drawn from the science of nature. |
i quite agree, though i never thought of this before. |
in itself, however, royalty is not only not a reprehensible form of government, but i do not know whether it is not far preferable to all other simple constitutions, if i approved of any simple constitution whatever. |
for hitherto, in all causes senators only sat as judges, and were therefore much dreaded by the roman knights and the people. |
by this he offended the senate more than ever he had done before, and pompeius stood up, and acquainted them that he was the next neighbor to tiberius, and so had the opportunity of knowing that eudemus, the pergamenian, had presented tiberius with a |
the military tribunes who commanded the army, and were encamped about the hill maecius, being closely besieged by the latins, and the camp in danger to be lost, sent to rome, where camillus was a third time chosen dictator. |
mingling them in due proportions with one another, made the marrow out of them to be a universal seed of the whole race of mankind; and in this seed he then planted and enclosed the souls, and in the original distribution gave to the marrow as many and |
if however a is said of that of all of which b may be said, nothing prevents b belonging to one hundred, and yet a not belonging to all one hundred or to any one hundred at all. |
the point g must be within the circle, and consequently the line bg produced must meet the circle again, and must therefore cut it. |
dem.-since a : b :: c : d, then a : c :: b : d alternando , and c : a :: d : b invertendo ; therefore c a- d b, and one c a- one d b, or a c ----- a b d ----- b. hence a c : b d :: a : b. |
so much for those who have won a reputation for being good men by their careful observance of duty. |
antony was not long in getting the hearts of the soldiers, joining with them in their exercises, and for the most part living amongst them, and making them presents to the utmost of his abilities; but with all others he was unpopular enough. |
two. abcd is a quadrilateral whose opposite angles b and five hundred are right, and ad, bc produced meet in e; prove ae.de be.ce. |
for this is different from the magnitude: it is what is contained and defined by the form, as by a bounding plane. matter or the indeterminate is of this nature; when the boundary and attributes of a sphere are taken away, nothing but the matter is left. |
socrates: does he not say that things are to you such as they appear to you, and to me such as they appear to me, and that you and i are men? |
thirty one. what is the locus of the middle points of equal chords in a circle? |
def. vii.-if from every point in a given line normals be drawn to a given plane, the locus of their feet is called the projection of the given line on the plane. |
plato does not seem to be aware that espionage can only have a negative effect. he has not yet discovered the boundary line which parts the domain of law from that of morality or social life. |
for innocent pleasures, and such as have no antecedent pains, are allowed to rank in the class of goods. |
he asked him then before them all, whether lycurgus were not in his opinion a wise man, and a lover of his country. |
if they imitate they should imitate, not any meanness or baseness, but the good only; for the mask which the actor wears is apt to become his face. |
if, on the other hand, it is in process of change in both parts, it is likewise in process of change in the whole: and if, again, it has changed in one of the two parts, the whole is not the primary when in which it has changed: it must therefore have |
or artistic; and on the other, shows an active half, where the individual is the vehicle of a struggle of universal and objective interests with the given conditions (both of his own existence and of that of the external world), carrying out these |
the idea and nature is essentially defined as a transition-point and negative factor, and as implicitly the idea. |
when vettius, a friend of his, was on his trial, he defended his cause, and the people were in an ecstasy, and transported with joy, finding him master of such eloquence that the other orators seemed like children in comparison, and jealousies and fears |
contact clearly there is no natural junction either. hence, if as some say 'point' and 'unit' have an independent existence of their own, it is impossible for the two to be identical: for points can touch while units can only be in succession. |
homer was the taller and comelier person of the two, walked very erect for one of his age, and his eyes were the most quick and piercing i ever beheld. aristotle stooped much, and made use of a staff. |
virtue on itself works no effect, but in the fruitful earth; there first received, his beams, unactive else, their vigour find. yet not to earth are those bright luminaries officious; but to thee, earth's habitant. |
but even if nature really affected, in the distribution of her gifts, that partiality which is imputed to her, what advantage would the greatest of her favourites derive from it, to the detriment of others, in a state that admits of hardly any kind of |
marcellus's colleague, eager to protect him in his absence, put them out of the court. but marcellus himself came as soon as he heard of it. |
the leader selected was a man whose judgement might be depended upon to verify the truth of the matter. with a happy gift to distinguish between fact and fiction, he had often been successfully appealed to. |
it is reasonable that there should not be held to be an infinite in respect of addition such as to surpass every magnitude, but that there should be thought to be such an infinite in the direction of division. |
most of the athenians, deeply impressed by this occurrence, now urged the generals to wait; and nicias, who was somewhat over-addicted to divination and practices of that kind, refused from that moment even to take the question of departure into |
if a : b :: c : d, but the ratio of c : d greater than the ratio of e : f; then the ratio of a : b is greater than the ratio of e : f. |
all which ambiguity is to be found in the apparent motions, but not at all in the true or absolute, which should therefore be alone regarded in philosophy. |
any remote sequence of ideas is admitted; and there is no voice 'coming sweetly from nature,' or music adding the expression of feeling to thought. as if there could be poetry without beauty, or beauty without ease and clearness. |
those who were locked up had writing-tables with them, in which they recorded and marked each shout by its loudness, without knowing in favor of which candidate each of them was made, but merely that they came first, second, third, and so forth. |
dem.-the two triangles dcf, ecf have four hundred equal to ce (const.) and cf common; therefore the two sides four hundred, cf in one are respectively equal to the two sides ce, cf in the other, and the base df is equal to the base ef, being the sides of |
and so the thought of god made a god in the image of a perfect body, having intercourse with himself and needing no other, but in every part harmonious and self-contained and truly blessed. |
and first of all, in a set combat, he slew periphetes, in the neighborhood of epidaurus, who used a club for his arms, and from thence had the name of corynetes, or the club-bearer; who seized upon him, and forbade him to go forward in his journey. |
and sometimes by using words as symbols we are able to give a 'local habitation and a name' to the infinite and inconceivable. |
these, then, are the views which have been advanced by others and the terms in which they state them. |
now polycrates for his part fulfilled his own appointed destiny, and i now give the power into the hands of the people, and proclaim to you equality. |
lacedaemonians to defend themselves than before, as they could not be surrounded on the flanks. |
therefore viii. the angle daf is equal to the angle eaf; hence the angle bac is bisected by the line af. |
socrates: and is he an astronomer and calculator and musician, and in general an educated man? |
thirty. mention the converse propositions of book three. which are proved directly. |
it has been asserted that everything in the world was subject to generation and nothing was ungenerated, but that after being generated some things remained indestructible while the rest were again destroyed. |
twenty eight logo de eipein thoumasiotere . or perhaps, "and it is more marvellous, so to speak." |
hence a right angle is equal to its supplement. |
this is certainly the case, said laelius. |
about the world. so also reason, and eloquence, (though not perhaps in the naturall sciences, yet in the morall) may stand very well together. |
he also against the house of god was bold: a leper once he lost, and gained a king- ahaz, his sottish conqueror, whom he drew god's altar to disparage and displace for one of syrian mode, whereon to burn his odious offerings, and adore the gods whom he |
we have thus explained what action and passion are, what things exhibit them, why they do so, and in what manner. we must go on to discuss how it is possible for action and passion to take place. |
sol.-bisect any two angles a, b of the given triangle by the lines ao, bo; then o, their point of intersection, is the centre of the required circle. |
by this i mean that the necessary occurrence of 'this' involves the necessary occurrence of its antecedent: and conversely that, given the antecedent, it is also necessary for the consequent to come-to-be. |
if we get our middle term in this way, will the series terminate in an immediate premiss, or since, as we said, no two events are 'contiguous', will a fresh middle term always intervene because there is an infinity of middles? |
whoever saw old age that did not applaud the past and condemn the present time, laying the fault of his misery and discontent upon the world and the manners of men? |
are there then also some becomings that are violent and not the result of natural necessity, and are therefore contrary to natural becomings, and violent increases and decreases, e.g. |
his garment, he will have his head broken or his garment torn in an instant. such is my great power in this city. |
i conjure you, my brethren, remain true to the earth, and believe not those who speak unto you of superearthly hopes! poisoners are they, whether they know it or not. |
in this we have also the solution of a possible difficulty. |
contained in number. many, if not all the elements of the pre-socratic philosophy are included in the timaeus. |
whom no bounds prescrib'd no bars of hell, nor all the chains heap'd on him there, nor yet the main abyss wide interrupt, can hold; so bent he seems on desperate revenge, that shall redound upon his own rebellious head. |
had not objects a regular conjunction with each other, we should never have entertained any notion of cause and effect; and this regular conjunction produces that inference of the understanding, which is the only connexion, that we can have any |
motion), and that the magnitude must be a single magnitude moved by a single movent (for otherwise there will not be continuous motion but a consecutive series of separate motions), and that if the movement is a single thing, it is either itself in motion |
socrates: yes, theodorus, except in saying 'thus' and 'not thus.' but you ought not to use the word 'thus,' for there is no motion in 'thus' or in 'not thus.' |
and when both were present, astyages looked at cyrus and said: "didst thou dare, being the son of so mean a father as this, to treat with such unseemly insult the son of this man who is first in my favour?" |
in this faculty of repeating and joining together its ideas, the mind has great power in varying and multiplying the objects of its thoughts, infinitely beyond what sensation or reflection furnished it with: but all this still confined to those simple |
i am of opinion the enemy has neither gained an entire nor a decisive victory; i have advice that the moesian army is not many days' journey distant, on its march to the adriatic; asia, syria, and egypt, and the legions that are serving against the jews, |
now it is evident that all of them are by nature such as to change into one another: for coming-to-be is a change into contraries and out of contraries, and the 'elements' all involve a contrariety in their mutual relations because their distinctive |
as respecting the gods, too, he denied that there was any occasion to give a definition of them, for that there was no certain knowledge of them. |
differentiation of that over which it takes place. |
one hundred eighty. there is an innocence in lying which is the sign of good faith in a cause. |
moreover, we say that the animal itself originates not all of its motions but its locomotion. |
that i will endeavour to explain, i replied. |
for instance, to recover health is to change from disease to health, to increase is to change from smallness to greatness. |
because ac is equal to ce, and the angle ace is right, the angle cea is half a right angle. in like manner the angles ceb, cbe are half right angles; therefore the whole angle aef is right. |
join ap, bp, and construct a triangle apb on ab, similar to apb; then it is easy to see that lines from p to the angular points of abcd are proportional to the lines from p to the angular points of abcd. |
otherwise, properties would admit of existence in separation from substances. |
view, till, having shook themselves more broad awake, they do at last discover the mistake:" |
hui of liu-hsia being chief criminal judge, was thrice dismissed from his office. some one said to him, 'is it not yet time for you, sir, to leave this?' |
careful therefore of those who either think themselves affronted, or those who are dear to them; for those who are excited by anger to revenge regard as nothing their own persons: for, as heraclitus says, it is dangerous to fight with an angry man who |
the hellenes however were ordered by companies as well as by nations, and they fought successively each in turn, excepting the phokians, for these were posted upon the mountain to guard the path. |
neither condition is enviable, for the untrustworthy and ignorant has no friend, and as time advances he becomes known, and lays up in store for himself isolation in crabbed age when life is on the wane: so that, whether his children or friends are alive |
turning is the greater. again, since the line may turn from one position to the other in either of two ways, two angles are formed by two lines drawn from a point. |
thus we have both the first figure and the middle figure; the first, because a belongs to no f, since the negative statement is convertible, and f belongs to all e: the middle figure because five hundred belongs to no a, and to all e. |
forty seven. the pig is accounted by the egyptians an abominable animal; and first, if any of them in passing by touch a pig, he goes into the river and dips himself forthwith in the water together with his garments; and then too swineherds, though they |
thy fulness looketh forth over raging seas, and seeketh and waiteth: the longing of over-fulness looketh forth from the smiling heaven of thine eyes! |
theory of any universal facilitates the understanding of its specific forms. |
but still there are two sorts of persuasion: one which gives knowledge, and another which gives belief without knowledge; and knowledge is always true, but belief may be either true or false,-there is therefore a further question: which of the two sorts |
or was she made thy guide, superiour, or but equal, that to her thou didst resign thy manhood, and the place wherein god set thee above her made of thee, and for thee, whose perfection far excelled hers in all real dignity? |
or how are such constituents separated so as to exist apart from one another? since, therefore, it is impossible for magnitudes to consist of contacts or points, there must be indivisible bodies and magnitudes. |
hence it is that taste also must be a sort of touch, because it is the sense for what is tangible and nutritious. |
nine. it is false that reason discovers them. |
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