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of the fusile kinds the fairest and heaviest is gold; this is hardened by filtration through rock, and is of a bright yellow colour. a shoot of gold which is darker and denser than the rest is called adamant. |
the fourth kind are the inhabitants of the waters; these are made out of the most senseless and ignorant and impure of men, whom god placed in the uttermost parts of the world in return for their utter ignorance, and caused them to respire water instead |
meditat. three. of god, and that there is a god. p. twenty seven. |
they argue that (i) if both the 'combined' constituents persist unaltered, they are no more 'combined' now than they were before, but are in the same condition: while (ii) if one has been destroyed, the constituents have not been 'combined'-on the |
o theodorus, do you think that there is any use in proceeding when the danger is so great? |
and being composed of the same, the other, and the essence, these three, and also divided and bound in harmonical proportion, and revolving within herself-the soul when touching anything which has essence, whether divided or undivided, is stirred to utter |
people to spend upon largesses and play-house allowances, and in erecting statues and temples. |
watching their opportunity to seize the empire at a disadvantage. which will he go to meet first? which part of the universal conspiracy will he first oppose? his victory will drag him through every country in the world. |
it is said rightly, too, that the number of the sheep and of the dogs is the same number if the two numbers are equal, but not the same decad or the same ten; just as the equilateral and the scalene are not the same triangle, yet they are the same figure, |
def. two.-a right line is said to be cut harmonically when it is divided internally and externally in any ratios that are equal in magnitude. |
yet, on the other hand, we are conscious that knowledge is independent of time, that truth is not a thing of yesterday or tomorrow, but an 'eternal now.' to the 'spectator of all time and all existence' the universe remains at rest. |
sons, nephews; and yet all these could not supply the comfort of friendship. |
when, on the other hand, the composition of the deliquescent particles is congenial to the tongue, and disposes the parts according to their nature, this remedial power in them is called sweet. |
experiment is obviously a help to observation: and so far as the latter is practicable, the former would seem to have a chance of introduction. |
so, when you have a homogeneous substance which is continuous, the parts are potentially in place: when the parts are separated, but in contact, like a heap, they are actually in place. |
and something similar happens when the disordered motions of the soul come into contact with any external thing; they say the same or the other in a manner which is the very opposite of the truth, and they are false and foolish, and have no guiding |
there are some too who ascribe this heavenly sphere and all the worlds to spontaneity. they say that the vortex arose spontaneously, i.e. the motion that separated and arranged in its present order all that exists. |
the same remark may be applied to the complexity of the appearances and occultations of the stars, which, if the outer heaven is supposed to be moving around the centre once in twenty-four hours, must be confined to the effects produced by the seven |
hence, if ab, four hundred meet on one side of o, they must also meet on the other side; but two right lines cannot enclose a space (axiom x.); therefore they do not meet at either side. hence they are parallel. |
is well there should be some outward correspondence between his expectation and his end." he began his speech as follows: "cleanor has spoken of the perjury and eight faithlessness of the barbarians, and you yourselves know them only too well, i fancy. |
so the lute player knows how to play, sings well, and has a fine dress, and yet he trembles when he enters on the stage; for these matters he understands, but he does not know what a crowd is, nor the shouts of a crowd, nor what ridicule is. |
but ab is coplanar with ad, bd eleven. ii. . therefore the lines ad, bd, four hundred are coplanar; and since the angles abd, bdc are right, the line ab is parallel to four hundred i. xxviii. . |
when they disguise and often alter the same story, according to their own fancy, 'tis very hard for them, at one time or another, to escape being trapped, by reason that the real truth of the thing, having first taken possession of the memory, and being |
body, but which nevertheless have a certain conformation plainly marked out and impressed upon the mind, which i call the notion of them. they often require to be explained by definition while we are arguing about them. |
but the second, which was presented by phocion, he received, understanding from the older macedonians how much philip had admired and esteemed him. |
whensoever therefore the legislative shall transgress this fundamental rule of society; and either by ambition, fear, folly or corruption, endeavour to grasp themselves, or put into the hands of any other, an absolute power over the lives, liberties, and |
judges that the opinions put forward really are of this sort. we should also base our arguments upon probabilities as well as upon certainties. |
consciousness has passed into self-consciousness. |
which, measured from either diagonal, have the same ratio to each other. twenty six. |
let not thy mind wander up and down, and heap together in her thoughts the many troubles and grievous calamities which thou art as subject unto as any other. |
again (two) a thing is said without qualification to change because something belonging to it changes, i.e. |
with them overthrow it. the conversion of an appropriate name which is drawn from the element 'accident' is an extremely precarious thing; for in the case of accidents and in no other it is possible for something to be true conditionally and not |
they serve, however, like identical propositions, as links in the chain of method, not as principles-for example, a a, the whole is equal to itself, or (a b) - a, the whole is greater than its part. |
now the relation of the ungenerated (e) to the generated (f) is the same as that of the indestructible (g) to the destructible (h). |
for these reasons, the people highly extolled him, and were ready upon all occasions to express their affection towards him. |
one. the two tangents pb, pd (fig. two) are equal to one another, because the square of each is equal to the square of op minus the square of the radius. |
for a soul could not live in such conditions painlessly or happily, since the movement involves constraint, being imposed on the first body, whose natural motion is different, and imposed continuously. |
seven. the sum of the two parallel sides of a trapezium is double the line joining the middle points of the two remaining sides. |
used--and that things which have a reason or explanation are knowable. |
for it acquires significance apart from this, though only for practical use, namely, through the moral law. |
treatises public, and drew up the catalogues that are now current. |
at such a pitch of vivacity, as to render these perceptions altogether undistinguishable. all the colours of poetry, however splendid, can never paint natural objects in such a manner as to make the description be taken for a real landskip. |
such are the arguments (and others of the kind) which may cause difficulty on this point. yet it is impossible that this should be the true view. |
all armies are alike in this: on going into action they get forced out rather on their right wing, and one and the other overlap with this adversary's left; because fear makes each man do his best to shelter his unarmed side with the shield of the man |
discussions has rendered unobservant of the facts are too ready to dogmatize on the basis of a few observations. |
what then will be the nature of its rest and of its movement, or where will they be? it will either be at home everywhere-then it will not be moved; or it will be moved everywhere-then it will not come to rest. |
thirty six. if two sides of a given triangle touch fixed circles, the third touches a fixed circle. |
the combination of happiness and something else which is not good may be more desirable than the combination of justice and courage. |
he further declared that all the military triumphs and disasters of the thousand years which had elapsed since sun tzu's death would, upon examination, be found to uphold and corroborate, in every particular, the maxims contained in his book. |
or favorites of men in authority: for indignation carrieth men, not onely against the actors, and authors of injustice; but against all power that is likely to protect them; as in the case of tarquin; when for the insolent act of one of his sonnes, he was |
delight, all kind of living creatures, new to sight, and strange two of far nobler shape, erect and tall, godlike erect, with native honour clad in naked majesty seemed lords of all: and worthy seemed; for in their looks divine the image of their glorious |
scaenicorum quidem mos tantam habet vetere disciplina verecundiam, ut in scaenam sine subligaculo prodeat nemo; verentur enim, ne, si quo casu evenerit, ut corporis partes quaedam aperiantur, aspiciantur non decore. |
so abraham, isaac, and jacob were alive by promise, then, when christ spake; but are not actually till the resurrection. and the history of dives and lazarus, make nothing against this, if wee take it (as it is) for a parable. |
but being forced to go round about, and through a very woody country, their lights failed them, and the soldiers lost their way. |
and on that account doth the noble one enjoin upon himself not to abash: bashfulness doth he enjoin on himself in presence of all sufferers. |
even if all phenomena are the result of natural forces, we must admit that there are many things in heaven and earth which are as well expressed under the image of mind or design as under any other. |
"volucrem sic laudamus equum, facili cui plurima palma fervet, et exsultat rauco victoria circo," |
so having formed this design he began forthwith to make trial of the oracles, both those of the hellenes and that in libya, sending messengers some to one place and some to another, some to go to delphi, others to abai of the phokians, and others to |
of late years, in the league against henry the third of france, and in many more occurrences. i think there be few princes that consider not this as injust, and inconvenient; but i wish they would all resolve to be kings, or subjects. |
live in the empire out of all authority and subjection, those of the ancient laws excepted, and might enjoy all liberty that was not prejudicial to these, being as impatient of commanding as of being commanded. |
who thro' the foes hast borne thy banish'd gods, restor'd them to their hearths, and old abodes; this is thy happy home, the clime where fate ordains thee to restore the trojan state. fear not! |
an affirmation is opposed to a denial in the sense which i denote by the term 'contradictory', when, while the subject remains the same, the affirmation is of universal character and the denial is not. |
there have been caught in walden pickerel, one weighing seven pounds, to say nothing of another which carried off a reel with great velocity, which the fisherman safely set down at eight pounds because he did not see him, perch and pouts, some of each |
now, when we abstract from a law all matter, i.e., every object of the will (as a determining principle), nothing is left but the mere form of a universal legislation. |
twenty seven. if , be the radii of two circles, touching each other at the centre of the inscribed circle of a triangle, and each touching the circumscribed circle, prove |
there is, indeed, some advantage in an equality of goods amongst the citizens to prevent seditions; and yet, to say truth, no very great one; for men of great abilities will stomach their being put upon a level with the rest of the community. |
on the other hand the total sum given below is precisely the sum of the separate items (after subtracting the one hundred forty talents used for the defence of kilikia), reduced in the proportion seventy eight:sixty; and this proves the necessity of the |
at stake, had been accused of being too prodigal of so many brave men's lives as were lost in africa, rather than submit to caesar after the battle of pharsalia had gone against them. |
in fact, the more we reflect, the more we find the difference between free and monarchical states to be this: in the former, everything is used for the public advantage; in the latter, the public forces and those of individuals are affected by each other, |
dem.-(one). let ab be the diameter, one hundred any point in the semicircle. join ac, cb. the angle acb is a right angle. |
twenty two. if a variable line, whose extremities rest on the circumferences of two given concentric circles, subtend a right angle at any fixed point, the locus of its middle point is a circle. |
method of discussion which we are at present employing. do not imagine, any more than i can bring myself to imagine, that i should be right in undertaking so great and difficult a task. |
he should also let all honours flow immediately from himself, but every censure from his subordinate officers and judges. |
have a cask with a hole in it. how then is there any equality here? you intrusted your affairs to a man who is faithful and modest, to a man who thinks that his own actions alone are injurious and (or) useful, and that nothing external is. |
likewise, so that in the whole time it will traverse a finite magnitude. |
a body, then, in which air preponderates over earth and water, may well be lighter than something in water and yet heavier than it in air, since such a body does not rise in air but rises to the surface in water. |
hence the two triangles cag, kab have the sides ca, ag in one respectively equal to the sides ka, ab in the other, and the contained angles cag, kab also equal. therefore iv. |
therefore, the law that we should promote the happiness of others does not arise from the assumption that this is an object of everyone's choice, but merely from this, that the form of universality which reason requires as the condition of giving to a |
next to nothing, as one may say, eighty four of his army: and whithersoever they came on the march and to whatever nation, they seized the crops of that people and used them for provisions; and if they found no crops, then they took the grass which was |
from this supply the achaeans bought their wine, some with bronze, some with iron, some with hides, some with whole heifers, and some again with captives. |
five. the best kind of revenge is, not to become like unto them. |
slower will divide the length. if, then, this alternation always holds good, and at every turn involves a division, it is evident that all time must be continuous. |
if you mean that there is nothing more beautiful, i agree with you; that there is nothing more adapted to our wants, i likewise agree with you: but if you mean that nothing is wiser than the world, i am by no means of your opinion. |
let o be the centre. join co, and produce it to meet the circle again in e. join de. now since o is the centre, the segment ace is greater than a semicircle; hence, by the first case, fig. (), the angle ace is equal to ade. |
and when, as has been mentioned before, the tripod was found near athens by some fishermen, the brazen tripod i mean, which bore the inscription-"for the wise;" then satyrus says that the damsels (but others, such as phanodicus, say that it was their |
"largus enim liquidi fons luminis, aetherius sol, irrigat assidue coelum candore recenti, suppeditatque novo confestim lumine lumen." |
meno: quite right; and that is just what i am saying about virtue--that there are other virtues as well as justice. |
-- "montaigne would here give us to understand, upon the authority of diodorus siculus, that pausanias' mother gave the first hint of the punishment that was to be inflicted on her son. |
"immediately after we had got past the island i saw a great wave from which spray was rising, and i heard a loud roaring sound. |
yet the spirit can for the time pervade and control every member and function of the body, and transmute what in form is the grossest sensuality into purity and devotion. |
(to pass to another definition.) they are not kings or rulers (he said) who hold the sceptre merely, or are chosen by fellows out of the street, (twelve) or are appointed by lot, or have stepped into office by violence or by fraud; but those who have the |
whose courage and fidelity he had on all occasions received full proof,) goes to view the place. the hill was covered with woods all over; on the top of it sat a scout concealed from the sight of the enemy, but having the roman camp exposed to his view. |
converse together without suspicion or offense. and from thenceforward humoring the king in all things according to his heart's desire, and finding fault with nothing that he did, she obtained great power with him, and was gratified in all her requests. |
when asked what he meant by "criminal fraud," as specified in these forms, he would reply: "pretending one thing and practising another"--a very felicitous definition, as one might expect from an expert in making them. |
prop. twenty seven.-theorem. if a right line (ef) intersecting two right lines (ab, four hundred) makes the alternate angles (aef, efd) equal to each other, these lines are parallel. |
sixteen five. longiores hoc loco sumus, quam necesse est. |
what have we in common with the rose-bud, which trembleth because a drop of dew hath formed upon it? |
for to exploit the state for selfish profit is not only immoral; it is criminal, infamous. |
it is not then the existence of air that needs to be proved, but the non-existence of an interval, different from the bodies, either separable or actual-an interval which divides the whole body so as to break its continuity, as democritus and leucippus |
where is to be found the third term, which is always requisite pure site in a synthetical proposition, which may connect in the same proposition conceptions which have no logical (analytical) connection with each other? |
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