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two. the demonstration of this case is included in the foregoing. |
but after his death there was not one commander among the greeks that did anything considerable against the barbarians, and instead of uniting against their common enemies, the popular leaders and partisans of war animated them against one another to that |
twenty six. do you not observe, then, how the king sometimes degenerates into the despot, and how, by the fault of one individual, a form of government originally good is abused to the worst of purposes? |
similarly, we have also discussed 'alteration', and explained what 'altering' is and how it differs from coming-to-be and passing-away. but we have still to investigate the so-called 'elements' of bodies. |
for certainly it must needs be, that if the gods can help us in anything, they may in this kind also. but thou wilt say perchance, 'in those things the gods have given me my liberty: and it is in mine own power to do what i will.' |
but if by imitation i cannot attain to such excellence of character, in aspiration, at all events, i approach it as nearly as i can; for as i am kept by force of armed treason away from practical politics and from my practice at the bar, i am now leading |
there is perhaps a reason for it, some very great danger, about which the ascetic might wish to be more accurately informed through his secret interlocutors and visitors? |
cor. two.-if two equal lines be drawn from p to either the convex or concave circumference, the diameter through p bisects the angle between them, and the parts of them intercepted by the circle are equal. |
they tell us that oceanus and tethys were the children of earth and heaven; that phoreys, cronos, and rhea came in the next generation, and were followed by zeus and here, whose brothers and children are known to everybody. |
the archer that shoots over, misses as much as he that falls short, and 'tis equally troublesome to my sight, to look up at a great light, and to look down into a dark abyss. |
shall coincide with e. again, because the angle bac is equal to the angle edf, the line ac shall coincide with df; and since ac is equal to df (hyp.), the point one hundred shall coincide with f; and we have proved that the point b coincides with e. |
universe eternal, so far as might be. now the nature of the ideal being was everlasting, but to bestow this attribute in its fulness upon a creature was impossible. |
the passage over the infinite, then, cannot occupy a finite time, and the passage over the finite cannot occupy an infinite time: if the time is infinite the magnitude must be infinite also, and if the magnitude is infinite, so also is the time. |
he often appointed prizes, for which not only tragedians and musicians, pipers and harpers, but rhapsodists also, strove to outvie one another; and delighted in all manner of hunting and cudgel-playing, but never gave any encouragement to contests either |
now, a rational being's consciousness of the pleasantness of life uninterruptedly accompanying his whole existence is happiness; and the principle which makes this the supreme ground of determination of the will is the principle of self-love. |
athenian: or, to put the question in another way, making answer to ourselves: if, as most of these philosophers have the audacity to affirm, all things were at rest in one mass, which of the above-mentioned principles of motion would first spring up among |
in domestic politics, also, solon, in play, as it were, and by counterfeiting madness, induced the enterprise against salamis; whereas poplicola, in the very beginning, exposed himself to the greatest risk, took arms against tarquin, detected the |
are distinct persons still in reference to one another, and as such as governed by the laws of the society; yet in reference to the rest of mankind, they make one body, which is, as every member of it before was, still in the state of nature with the rest |
in like manner cae is right. hence bae cae, which is impossible. |
proof.--a man does not know himself except through the modifications of his body, and the ideas thereof (two. xix. and xxiii.). when, therefore, the mind is able to contemplate itself, it is thereby assumed to pass to a greater perfection, or (three. xi. |
nine. however, he sent for the sons of his sister, aristocreon and philocrates, and educated them; and he was the first person who ventured to hold a school in the open air in the lyceum, as the before mentioned demetrius relates. |
will be another place which is the place of the place, and many places will be coincident. |
(one) one- p one- p -one- p one r; (two) one p -one p p one- r, c.; (three) two p one r one r, c.; (four) two p one r one r, c. twelve. |
to your interpretation and bad "philology." it is no matter of fact, no "text," but rather just a naively humanitarian adjustment and perversion of meaning, with which you make abundant concessions to the democratic instincts of the modern soul! |
and suppose further, that when he saw their perplexity he said: 'do you desire to be wholly one; always day and night to be in one another's company? |
thirty three. if a, b, c, d denote the four sides, and five hundred, five hundred the diagonals of a quadrilateral; prove that the sides of the triangle, formed by joining the feet of the perpendiculars from any of its angular points on the sides of the |
one might raise the question whether a thing can be in itself, or whether nothing can be in itself-everything being either nowhere or in something else. |
thence he went to athens, and there, as a concession to our treaty with an allied and ancient city, he was attended only by a single lictor. |
in like manner the rectangle contained by ab and cb is equal to the figure four hundred. therefore the sum of the two rectangles ab.ac, ab.cb is equal to the square on ab. |
the designes of the authors of the religion of the heathen and therefore the first founders, and legislators of common-wealths amongst the gentiles, whose ends were only to keep the people in obedience, and peace, have in all places taken care; first, to |
some of the soldiers protested: the captains and generals had better not all go; it was better not to put too much confidence in tissaphernes. but clearchus insisted so strongly that finally it was arranged for five generals to go and twenty captains. |
me what i should say to him:--he wanted to know why you, who never before wrote a line of poetry, now that you are in prison are turning aesop's fables into verse, and also composing that hymn in honour of apollo. |
thus, if the line ab represent the integer, and if it be divided into four equal parts in the points one hundred, five hundred, e, then ac is fourteen; ad, twenty four; ae, thirty four. |
dejected;" and incidents that occurred appeared to show that the egyptian spoke truth. |
in considering the third kind of sense, hearing, we must speak of the causes in which it originates. |
grass; and again, an auburn colour mingles with the bitter matter when new flesh is decomposed by the fire which surrounds the internal flame;-to all which symptoms some physician perhaps, or rather some philosopher, who had the power of seeing in many |
the city shall be placed in a suitable situation, as nearly as possible in the centre of the country, and shall be divided into twelve wards. |
the false politician asks not what is true, but what is the opinion of the world-not what is right, but what is expedient. the only measures of which he approves are the measures which will pass. |
we see the same weight or body moving faster than another for two reasons, either because there is a difference in what it moves through, as between water, air, and earth, or because, other things being equal, the moving body differs from the other owing |
divisions that alone remains clear and distinct; as will easily appear to any one who will let his thoughts loose in the vast expansion of space, or divisibility of matter. |
whether therefore in sickness (if thou chance to sicken) or in what other kind of extremity soever, endeavour thou also to be in thy mind so affected, as he doth report of himself: not to depart from thy philosophy for anything that can befall thee, nor |
from the garden of the timaeus, as from the other dialogues of plato, we may still gather a few flowers and present them at parting to the reader. |
traditions akin to myths, he gained for his clients exemption from all public burdens. his pleading too procured for the colony of bononia, which had been ruined by a fire, a subvention of ten million sesterces. |
was unacquainted with his own strength and reputation, if he made use of any other forces against caesar than caesar's own; for such was the soldiers' hatred to caesar, and their love to pompey so great, that they would all come over to him upon his first |
overburdened by law ashamed to lay out as much thought and study upon it assurance they give us of the certainty of their drugs at least, if they do no good, they will do no harm at the most, but patch you up, and prop you a little attribute facility of |
proof.--pain diminishes or constrains a man's power of activity (three. xi. note), in other words (three. vii.), diminishes or constrains the effort, wherewith he endeavours to persist in his own being; therefore (three. |
to the motions of the soul answer the motions of the universe, and by the study of these the individual is restored to his original nature. |
and whichever of these qualities we find in the state, the one which is not found will be the residue? |
these, then, are the difficulties resulting from the supposition that any and every body, whatever its size, is divisible through and through. there is, besides, this further consideration. |
chrysippus, however, on this point contradicts himself; for he says in another place, that the most subtle portion of the ther, which is also called by the stoics the first god, is what is infused in a sensible manner into all the beings which are in the |
still we live meanly, like ants; though the fable tells us that we were long ago changed into men; like pygmies we fight with cranes; it is error upon error, and clout upon clout, and our best virtue has for its occasion a superfluous and evitable |
of the originally synthetical unity of apperception twelve |
of that which we call mortal race polycrates was the first; and he had great expectation of becoming ruler of ionia and of the islands. |
only the birds are still beyond him. and if man should yet learn to fly, alas! to what height-would his rapacity fly! |
the work of art therefore is just as much a work due to free option, and the artist is the master of the god. |
outside peloponnese the megarians, locrians, boeotians, phocians, ambraciots, leucadians, and anactorians. |
cor. two.-if either of the angles one hundred, f be right, the other must be right. |
that which is against the right of my freedom, i.e. make me a slave. |
the same ideas, one must believe, recur in men's minds not once or twice but again and again. |
observation.-proposition xxvi., being the converse of xxiv., has evidently been misplaced. the following would be a simpler enunciation:-"if two homothetic parallelograms have a common angle, they are about the same diagonal." |
for acceleration. again, it is inconceivable that the mover should first show incapacity for an infinite time, and capacity afterwards for another infinity. |
can keep off from the mind the pressure of ignoble and corrupting motives. |
he also foretold to the cretans the defeat of the lacedmonians by the arcadians, as has been said before. and, indeed, they were beaten at orchomenos. |
gfe is half a right angle, and therefore i. vi. ge is equal to gf. in like manner fd is equal to db. |
item, there is a saying that it is a good thing to have a good name, that is to say, credit and a good repute; but besides this, it is really convenient to have a well-sounding name, such as is easy of pronunciation and easy to be remembered, by reason |
bb. the "relative" totality of the "relative" relations of the individuals as independent persons to one another in a formal universality- civil society . |
in the case of man these points of dependence lose importance, just in proportion to his civilisation, and the more his whole frame of soul is based upon a substructure of mental freedom. |
when these envoys were on their way home, corbulo, to save them from being intercepted by the enemy's picquets after their passage of the euphrates, gave them an escort, and conducted them to the shores of the red sea, whence, avoiding parthian territory, |
now we have visual experience of the last term in this series, namely that which has the capacity of being in motion, but does not contain a motive principle, and also of that which is in motion but is moved by itself and not by anything else: it is |
and then, as a great secret, he told him, that he had heard from polynicus that if he once got into the clutches of the lacedaemonians, thibron was certain to put him to death. |
for, by our hypothesis, the anger caused by the slight is felt towards people who are not justified in slighting us, and our inferiors are not thus justified. |
twenty seven. what is the locus of the centres of all circles touching a given circle in a given point? |
but wee are to observe that this phrase, i beleeve in; as also the latine, credo in; and the greek, pisteno eis, are never used but in the writings of divines. |
when the combining constituents have been divided into parts so small, and have been juxtaposed in such a manner, that perception fails to discriminate them one from another, have they then 'been combined or ought we to say 'no, not until any and every |
thus was time made in the image of the eternal nature; and it was created together with the heavens, in order that if they were dissolved, it might perish with them. |
such then, and so numerous are the works of epicurus; the chief of which are the following. |
although there was a bright moon they saw each other only as men do by moonlight, that is to say, they could distinguish the form of the body, but could not tell for certain whether it was a friend or an enemy. |
hence a good inquirer will be one who is ready in bringing forward the objections proper to the genus, and that he will be when he has gained an understanding of all the differences. |
the unfortunate one, also, did not seem to notice that some one was beside him; on the contrary, he continually looked around with moving gestures, like one forsaken and isolated from all the world. |
might not the basket, stable-broom, mat-making, corn-parching, linen-spinning, and pottery business have thrived here, making the wilderness to blossom like the rose, and a numerous posterity have inherited the land of their fathers? |
but of this tree we may not taste nor touch; god so commanded, and left that command sole daughter of his voice; the rest, we live law to ourselves; our reason is our law. to whom the tempter guilefully replied. indeed! |
x. similar segments of circles are those that contain equal angles. |
further, man can only possess freedom when his whole being is unified in the pursuit of a single end; and, as his whole being can be unified only in pursuit of a rational end, which alone excludes contradiction, only moral acts, only men directing their |
again, because bag is the angle of a square it is a right angle: in like manner cak is a right angle. hence bag is equal to cak: to each add bac, and we get the angle cag equal to kab. again, since bg and ck are squares, ba is equal to ag, and ca to ak. |
these too, like most of the other affections, appear to be caused by certain contractions and dilations, but they have besides more of roughness and smoothness than is found in other affections; for whenever earthy particles enter into the small veins |
the warlike sparta called this chilo son, the wisest man of all the seven sages. |
lucullus soon after returned from the war in asia, the finishing of which, and thereby the glory of the whole, was thus, in all appearance, taken out of his hands by pompey. |
and on some fitting occasion, on some question of humanity or truth or right, even an ordinary man, from the natural rectitude of his disposition, may be found to take up arms against a whole tribe of politicians and lawyers, and be too much for them. |
and afterwards at thirty a further selection shall be made of those who are able to withdraw from the world of sense into the abstraction of ideas. |
it is in vain to get ourselves up as romantic, or classical, or christian, or florentine, or barocco, or "national," in moribus et artibus: it does not "clothe us"! |
shall i propose, then, that she be allowed to return from exile, but upon this condition only-that she make a defence of herself in lyrical or some other metre? |
things cannot be in motion. these and other similar arguments, then, should convince us that it is impossible either that all things are always in motion or that all things are always at rest. |
we should come home from far, from adventures, and perils, and discoveries every day, with new experience and character. |
again, since the lines bc, ef, bg are continual proportionals, bc : bg in the duplicate ratio of bc : ef five. def. x. ; but bc : bg :: triangle abc : abg. |
he determined, first to make trial of the volscians, whom he knew to be still vigorous and flourishing, both in men and treasure, and he imagined their force and power was not so much abated, as their spite and auger increased, by the late overthrows they |
is it not a hard thing to imagine that a couple of children cannot prate together of their sugar-plums and rattles and the rest of their little trinkets, till they have first tacked together numberless inconsistencies, and so framed in their minds |
through the thick forest, sweating, and at her utmost speed before the mighty monster-so, no man of the trojans could help isus and antiphus, for they were themselves flying in panic before the argives. |
how many contradictions are there to be found if a man pry narrowly into them! so many that the reconciling lawyers ought first to reconcile them every one to themselves. |
ponder this well in your minds, i bid you, corinthians, whose dwelling lies about fair peirene's spring and in craggy corinthos.' eighty three |
if a line (ab) be bisected (at one hundred) and divided into two unequal parts (at five hundred), the sum of the squares on the unequal parts (ad, db) is double the sum of the squares on half the line (ac), and on the segment (four hundred) between the |
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