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the sceptic is another enemy of religion, who naturally provokes the indignation of all divines and graver philosophers; though it is certain, that no man ever met with any such absurd creature, or conversed with a man, who had no opinion or principle |
seventeen. the real limit to be observed in friendship is this: the characters of two friends must be stainless. there must be complete harmony of interests, purpose, and aims, without exception. |
this will suffice to show that the principles are neither one nor innumerable. |
def. x.-if at the vertex o of a trihedral angle o-abc we draw normals oa, ob, oc to the faces obc, oca, oab, respectively, in such a manner that oa will be on the same side of the plane obc as oa, c., the trihedral angle o-abc is called the supplementary |
iv. circles are said to touch one another when they meet, but do not intersect. there are two species of contact:- one. when each circle is external to the other. two. when one is inside the other. |
which involve an apparatus of pots and pans; and, if i am not mistaken, he nowhere mentions sweet sauces. |
then it will be proper to introduce this division, each portion of which will have many lines of argument suitable to it: in the first place, that there is no law with reference to which it is allowable to allege any reasons contrary to the law; in the |
he was a relative and a dear friend of my great-grandfather, dropides, as he himself says in many passages of his poems; and he told the story to critias, my grandfather, who remembered and repeated it to us. |
twenty four. if two angles have their legs respectively parallel, their bisectors are either parallel or perpendicular. |
things, which we would rather choose. but as soon as the mind regains the power to stop or continue, begin or forbear, any of these motions of the body without, or thoughts within, according as it thinks fit to prefer either to the other, we then consider |
such sentiments may be unjust, but they are widely spread; we constantly find them recurring in reviews and newspapers, and still oftener in private conversation. |
covenant transferreth any right; nor is obliging. for though a man may covenant thus, "unlesse i do so, or so, kill me;" he cannot covenant thus "unless i do so, or so, i will not resist you, when you come to kill me." |
in experience. in relation to the latter, nature and possible experience are quite the same, and as the conformity to law here depends upon the necessary connexion of appearances in experience (without which we cannot cognise any object whatever in the |
amongst other athenian captains who were now in command was philocles, he who persuaded the people to pass a decree to cut off the right thumb of the captives in the war, that they should not be able to hold the spear, though they might the oar. |
two. seneca. i have long been silently asking myself, my friend serenus, to what i should liken such a condition of mind, and i find that nothing more closely resembles it than the conduct of those who, after having recovered from a long and serious |
hence the sum of the lines ap, bp is equal to the sum of the lines ac, db; but ab is greater than the sum of ac and db; therefore ab is greater than the sum of ap, pb-that is, one side of a triangle greater than the sum of the other two-which i. xx. |
laws causes all manner of changes and infinite diseases and corruptions. now there is a second class of structures which are also natural, and this affords a second opportunity of observing diseases to him who would understand them. |
prop. seventeen. desire arising from the true knowledge of good and evil, in so far as such knowledge is concerned with what is contingent, can be controlled far more easily still, than desire for things that are present. |
ordering of the solemnity, and in whose house it was kept, suspecting his rival would offer foul play by these sorceries. which fear she communicated to me. |
this skin the divine power pierced all round with fire, and out of the punctures which were thus made the moisture issued forth, and the liquid and heat which was pure came away, and a mixed part which was composed of the same material as the skin, and |
seven. he was a man of very expensive habits, and on this account he used to go from city to city, and at times he would contrive the most amazing devices. |
his house had no porter, nor was he ever found in bed by any man, but early in the morning, standing or walking before his door, he received those who came to offer their salutations. |
let us take our start from this point. the impossible and the false have not the same significance. one use of 'impossible' and 'possible', and 'false' and 'true', is hypothetical. |
never have acquired the habit and the facility which i think i possess in always discovering new truths in proportion as i give myself to the search. |
dem.-since a : b :: c : d, we have ab cd. hence, multiplying each by m n- we get manb- mcnd-. |
pygmies, and they wrangle in the air as they fly; but the achaeans marched silently, in high heart, and minded to stand by one another. |
actions is far better and far more important than harmony of sounds. |
'alteration' stand and fall together. for if the change is 'alteration', then the substratum is a single element; i.e. all things which admit of change into one another have a single matter. |
true, he said; but then the multitude is seldom willing to congregate unless they get a little honey. |
there, i said, i think that you are beginning to go wrong. |
fifthly, it is a part of rationall worship, to speak considerately of god; for it argues a fear of him, and fear, is a confession of his power. |
and verily, ye famous wise ones, ye servants of the people! ye yourselves have advanced with the people's spirit and virtue-and the people by you! to your honour do i say it! |
again, in the case of circles and spheres and everything whose motion is confined within the space that it occupies, it is not true to say the motion can be nothing but rest, on the ground that such things in motion, themselves and their parts, will |
nineteen. see chapter seven, twenty seven and chapter eleven, twenty eight. |
and even when philomedes of lampra had got a decree passed, that all the athenians should stand to their arms, and be ready to follow phocion their general, he yet sat still and did nothing, until nicanor actually led his troops out from munychia, and |
corollary.--individual things are nothing but modifications of the attributes of god, or modes by which the attributes of god are expressed in a fixed and definite manner. the proof appears from prop. xv. and def. v. |
the second time that the cimbri and teutones came down with some hundreds of thousands, threatening death and destruction to all, when it was no small piece of service for a roman soldier to keep his ranks and obey his commander, sertorius undertook, |
but what is more extraordinary; many of the miracles were immediately proved upon the spot, before judges of unquestioned integrity, attested by witnesses of credit and distinction, in a learned age, and on the most eminent theatre that is now in the |
eighteen. now, what is the quality to look out for as a warrant for the stability and permanence of friendship? it is loyalty. nothing that lacks this can be stable. |
cleopatra would not open the door, but, looking from a sort of window, she let down ropes and cords, to which antony was fastened; and she and her two women, the only persons she had allowed to enter the monument, drew him up. |
the difference referred to applies to every style of writing as a whole, and it is also often met with in particular instances; for example, i read in a book that has just been published: i have not written to increase the number of existing books . |
et nihil hoc ad nos, qui coltu conjugioque corporis atque anim consistimus uniter apti. |
'quantum-in-general' does not come-to-be any more than 'animal' which is neither man nor any other of the specific forms of animal: what 'animal-in-general' is in coming-to-be, that 'quantum-in-general' is in growth. |
combination of natural causes. still, they leave us the capacity of choosing our life, maintaining that, the choice once made, there is a fixed sequence of events. |
ninety twenty six. again, when fortune smiles and the stream of life flows according to our wishes, let us diligently avoid all arrogance, haughtiness, and pride. |
x. two right lines cannot enclose a space. |
such is the argument which is believed to establish the necessity of atomic magnitudes: we must now show that it conceals a faulty inference, and exactly where it conceals it. |
upon libya, six thousand three hundred one does not very much abound in wild animals, but such as they have are one and all accounted by them sacred, some of them living with men and others not. |
euth. i suppose it is, but for the life of me i cannot make head or tail of my own admission. (thirty eight) |
we begin with the view of anaxagoras that all the homoeomerous bodies are elements. any one who adopts this view misapprehends the meaning of element. |
the third solid is a regular icosahedron, having twenty triangular equilateral bases, and therefore one hundred twenty rectangular scalene triangles. |
but we may likewise feel that something has been lost in their separation, and that the ancient philosophers who estimated the moral and intellectual wellbeing of mankind first, and the wealth of nations and individuals second, may have a salutary |
or (two) one kind of number must be like the first that was named, one like that which the mathematicians speak of, and that which we have named last must be a third kind. |
ruin everything. but i appeal to your own verdict, already recorded, in twenty one proof that i was justified in striking these men. |
what remedy? 'tis the place of my birth, and that of most of my ancestors; they have here fixed their affection and name. |
fishes; and whence these are in all likelihood produced, i think that i perceive. |
there is a point of diseased mellowness and effeminacy in the history of society, at which society itself takes the part of him who injures it, the part of the criminal, and does so, in fact, seriously and honestly. |
body; and there they bound it down like a wild animal which was chained up with man, and must be nourished if man was to exist. |
the triangles are equal; but the parallelogram al is double of the triangle cag xli. , because they are on the same base ag, and between the same parallels ag and one hundred fifty. |
the life of sparta was the life of a camp (laws), enforced even more rigidly in time of peace than in war; the citizens of sparta, like plato's, were forbidden to trade-they were to be soldiers and not shopkeepers. |
resolves itself into an exposition of the laws and forms of common life produced by the mind when developing itself as objective mind-a development in which the content of autonomous action loses its contingency and optionality. |
twenty nine. if the position of the common point in the last question be given, the three angles of the triangle xy z are given, and conversely. |
solomon, whose understanding was filled and enlarged with wisdom, seems to have other thoughts when he says, 'heaven, and the heaven of heavens, cannot contain thee.' |
if movement can exist without soul, and the before and after are attributes of movement, and time is these qua numerable. |
archias, with a smile, replied, "urgent business tomorrow," and so receiving the letter, he put it under his pillow, and returned to what he had been speaking of with phillidas; and these words of his are a proverb to this day amongst the greeks. |
that centre will be something primary and precious; but to the mere position we should give the last place rather than the first. |
listen then, socrates, to a tale of solon's, who, being the friend of dropidas my great-grandfather, told it to my grandfather critias, and he told me. |
whether would you run? by you yourselves, and mighty battles won, by my great sire, by his establish'd name, and early promise of my future fame; by my youth, emulous of equal right to share his honours-shun ignoble flight! |
i sought where-so the wind blows keenest. there i learned to dwell where no man dwells, on lonesome ice-lorn fell, and unlearned man and god and curse and prayer? became a ghost haunting the glaciers bare? |
but the seed and the doctor and the adviser, and generally the maker, are all sources whence the change or stationariness originates, while the others are causes in the sense of the end or the good of the rest; for 'that for the sake of which' means what |
if all of us who are with the danaans were to drive the trojans back and keep jove from helping them, he would have to sit there sulking alone on ida." |
in chariot-racing alone did the two sons of actor surpass me by crowding their horses in front of me, for they were angry at the way victory had gone, and at the greater part of the prizes remaining in the place in which they had been offered. |
and yet in fashioning two brothers god intends them, methinks, to be of more benefit to one another than either two hands, or two feet, or two eyes, or any other of those pairs which belong to man from his birth. |
neither was their entertainment such as just to keep them alive, but given them in abundance and for their enjoyment; for pacianus resolved to treat him with all imaginable kindness, and considering he was a young man, thought it well to gratify a little |
instincts, a defeminising? certainly, there are enough of idiotic friends and corrupters of woman among the learned asses of the masculine sex, who advise woman to defeminize herself in this manner, and to imitate all the stupidities from which "man" in |
again (three) the primary source of the change or coming to rest; e.g. the man who gave advice is a cause, the father is cause of the child, and generally what makes of what is made and what causes change of what is changed. |
plain and earnest representation of duty, which is more suited to human imperfection and to progress in goodness. |
which is undergoing locomotion from a to g cannot also simultaneously be undergoing locomotion from g to a: and since the latter locomotion is not simultaneous with the former but is still to be undergone, before it is undergone there must occur a state |
fifty five. if two circles touch in one hundred, and if five hundred be any point outside the circles at which their radii through one hundred subtend equal angles, if de, df be tangent from five hundred, de.df dc . |
for in the first place there are two senses in which motion of motion is conceivable. (one) the motion of which there is motion might be conceived as subject; e.g. a man is in motion because he changes from fair to dark. |
for a less agent will produce that movement in a less patient in an equal time, and the proportionate equivalent of that patient will be a finite quantity, since no proportion holds between finite and infinite. |
therefore did i ascend into these mountains, that i might finally have a festival for myself once more, as becometh an old pope and church-father: for know it, that i am the last pope!-a festival of pious recollections and divine services. |
seeing, then, that we have now prepared for our use the various classes of causes which are the material out of which the remainder of our discourse must be woven, just as wood is the material of the carpenter, let us revert in a few words to the point at |
i wish, above all things, that those who ought to do so would imitate his industry, and, next to that, i wish that they would not envy the exertions of another. |
but b and one hundred cannot belong to the same thing, because a follows one hundred; and so something impossible results. |
the difference is this much, that causes which are actually at work and particular exist and cease to exist simultaneously with their effect, e.g. |
we should only be able to say, "so common experience teaches us," but not "it must be so." they are valid as rules, through which, in general, experience is possible; and they instruct us respecting experience, and not by means of it. |
for indeed no lunatic seems to be so far out of his senses as to suppose that fire and ice are 'one': it is only between what is right and what seems right from habit, that some people are mad enough to see no difference. |
or when the egyptian says-'hereafter at our leisure we will take up the written documents and examine in detail the exact truth about these things'-what is this but a literary trick by which plato sets off his narrative? |
there is seldom any injustice to be repaired; in the meantime, the emperor, being satisfied that public outcry does not arise without cause, always discovers, through the seditious clamours which he punishes, just grievances to redress. |
for either structure did not originally produce the triangle of one size only, but some larger and some smaller, and there are as many sizes as there are species of the four elements. |
appropriated by the internal sense. but i must avoid prolixity, and leave the task of illustrating this by examples to the reader's own reflection. |
"pain will make even the innocent lie."--publius syrus, de dolore. |
the equal particles appear transparent; the larger contract, and the lesser dilate the sight. white is produced by the dilation, black by the contraction, of the particles of sight. |
contracts goes on to laws and constitutions, in utter recklessness, ending at last, socrates, by an overthrow of all rights, private as well as public. |
rob him of the glory of it; or that emulation and envy of philopoemen (who had signalized himself among the greeks upon all other occasions, but in that war especially had done wonders both for matter of courage and counsel, and whom the achaeans |
that the work was theirs, its beauty and excellence sufficiently declare; terence himself confesses as much, and i should take it ill from any one that would dispossess me of that belief. |
(five) i.e. "the least and the most fastidious of men." |
will be one: otherwise it will be the same but not one. and akin to this difficulty there is another; viz. is health one? |
so if this combination pleases you, if you are willing to proceed to a happy life thus accompanied, let virtue lead the way, let pleasure follow and hang about the body like a shadow: it is the part of a mind incapable of great things to hand two hundred |
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