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| Aristotle On the Heavens IntraText - Concordances (Hapax - words occurring once) |
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501 III, 2 | occurred under Love. "Many a head", says he, "came to birth 502 IV, 3 | in the case of the thing healed, when nothing stays the 503 IV, 4 | diseasedness is different from healthiness.~ 504 I, 10| Besides, those who have first heard the pleas of our adversaries 505 II, 9 | only the absurdity of our hearing nothing, the ground of which 506 I, 8 | cannot be more than one heaven-the further question mentioned 507 I, 3 | away from the centre. The heaviest thing will be that which 508 I, 6 | if there were, would it help us. For some finite body 509 III, 2 | movement of a body may be helped on in the same way. This 510 II, 2 | the other below; for two hemispheres are specially distinguished 511 II, 14| parts about the pillars of Hercules and the parts about India, 512 III, 1 | in the first instance by Hesiod and his followers, but afterwards 513 III, 8 | triangle, the square, and the hexagon, and only two solids, the 514 III, 2 | is constrained, what is hindering its motion? Something, which 515 I, 8 | constraint, its movement hither will be natural. And the 516 I, 12| ungenerated and has always hitherto existed to be destroyed. 517 III, 4 | things are not composed of homocomerous bodies. They do not pretend 518 II, 14| manifest alteration of the horizon. There is much change, I 519 II, 13| who, though exceedingly hungry and thirsty, and both equally, 520 I, 12| and "false" and "true", is hypothetical. It is impossible, for instance, 521 III, 1 | nature. They, however, had no idea of any form of being other 522 I, 3 | been expressing. The same ideas, one must believe, recur 523 IV, 1 | all round, with a centre identically related to each point on 524 I, 3 | we should be compelled to identify it with one of the bodies 525 | ie 526 I, 10| case by a parallel which is illusory. They say that in their 527 III, 1 | will serve, therefore, to illustrate the impossibility of the 528 IV, 2 | difficulties. Since, however, it imagines that these bodies which 529 IV, 3 | place. For motion is equally immediate in the case of nutriment, 530 II, 9 | force of its action must be immense. Indeed the reason why we 531 II, 9 | they not produce a sound immensely great? Starting from this 532 I, 7 | then, that A was heated, or impelled, or modified in any way, 533 I, 12| always exists is absolutely imperishable. It is also ungenerated, 534 II, 2 | of the poles, which, by implication, is length: for transverse 535 III, 2 | body by first, as it were, impregnating the air. That is why a body 536 IV, 2 | void, they say, which is imprisoned in bodies, lightens them 537 IV, 1 | inadequate. And the reason of its inadequacy is that men think that the 538 IV, 1 | is thus correct, though inadequate. And the reason of its inadequacy 539 II, 6 | incapacity is unnatural. The incapacities of animals, age, decay, 540 III, 8 | of the foreign body is an incident in the compacting of the 541 III, 8 | while the separating is incidental. For the expulsion of the 542 II, 13| might. It is what we are all inclined to do, to direct our inquiry 543 I, 6 | or not. If (a) they are incommensurable the same reasoning holds. 544 II, 4 | complete is prior to the incomplete, it follows on this ground 545 II, 8 | or two cases it might not inconceivably fall out so, but to imagine 546 IV, 3 | increase, when changed qua increasable, attains not health but 547 II, 14| should not be too sure of the incredibility of the view of those who 548 II, 8 | in the circles is quite incredible. For if, on the one and, 549 II, 6 | movement would be infinite and indefinite, but every movement, in 550 I, 10| been, or could have been, indefinitely repeated. But if this is 551 II, 14| Hercules and the parts about India, and that in this way the 552 II, 14| figure 400,000 stades. This indicates not only that the earth’ 553 II, 12| him to accept even slight indications where it is very difficult 554 II, 13| there is this necessity of indifference-on the analogy of the hair 555 II, 9 | moment of birth and is thus indistinguishable from its contrary silence, 556 III, 7 | because of the numerical inequality of the triangles which compose 557 III, 8 | still it remains quite inexplicable that a pyramid must needs 558 I, 2 | grounds, therefore, we may infer with confidence that there 559 I, 8 | evidence and the same necessary inferences, must be one only and no 560 II, 9 | the motion of bodies far inferior in size and in speed of 561 I, 9 | grounds, then, it might be inferred either that there are or 562 IV, 4 | fact that a bladder when inflated weighs more than when empty. 563 II, 10| which is least affected, the influence on the intermediate bodies 564 II, 10| body which is most strongly influenced, and the most remote, by 565 II, 13| that which is limited, see ing that the latter is the matter 566 II, 13| remain still. This view is ingenious but not true. The argument 567 III, 5 | fire is of bodies, or-more ingeniously-the position may be supported 568 I, 3 | time past, so far as our inherited records reach, no change 569 I, 4 | preponderant, the other would be inoperative. So that if both bodies 570 II, 13| opposition. Hence a good inquirer will be one who is ready 571 IV, 1 | it were) of movement, all inquirers avail themselves of these 572 III, 8 | of them. Any one then who insists upon an exact statement 573 II, 12| difficulty by any means insoluble. We may object that we have 574 III, 1 | things, and equally from an inspection of the instances of inquiry 575 IV, 6 | round or long-a needle, for instance-sink down; and sometimes a thing 576 II, 11| sphere, since it possesses no instrument of movement. Clearly then 577 III, 2 | case the air is as it were instrumental to the force. For air is 578 III, 5 | density and rarity, as instruments of generation, are equivalent 579 I, 7 | suppose it an object of intelligence, it will be in a place-since 580 III, 7 | which assume that even the intelligible is divisible, while they, 581 III, 6 | Empedocles seems to have intended, a divisible body which 582 II, 14| anything that which nature intends it to be, and which belongs 583 II, 9 | must needs reach us in an intensity many times that of thunder, 584 III, 1 | perceived. Others, perhaps intentionally, maintain precisely the 585 II, 3 | eternal: for contraries interact with one another and destroy 586 I, 7 | reaction have.~(3. There is no interaction between infinites.) Nor 587 II, 8 | revolving bodies: for the are intercepted by two radii will be larger 588 IV, 1 | require settlement in the interests of this inquiry, before 589 II, 13| opponents: and even when interrogating oneself one pushes the inquiry 590 II, 6 | but no alteration of their intervals is ever observed. Nor again 591 I, 11| being destroyed and changed intervenes or not; and (b) sometimes 592 I, 5 | the minimum which you have introduced, small as it is, causes 593 III, 4 | sciences, in addition to invalidating many common opinions and 594 I, 4 | along the diameter, since we invariably regard the distance between 595 I, 6 | compelled to move in a time inversely proportionate to its greatness, 596 III, 4 | by their combination and involution. Now this view in a sense 597 II, 10| the position of each, as involving the priority of some and 598 II, 13| therefore bound to stay where he is-even so, it still remains to 599 IV, 3 | belongs to bodies only when isolated from other bodies, and is 600 II, 13| great because the body which isolates it, the earth, is very large. 601 IV, 4 | rises to the surface of it-but heavier than fire, since 602 I, 9 | stronger than it to move it-since that would mean more divine-and 603 II, 13| lies at the centre. But the Italian philosophers known as Pythagoreans 604 IV | Book IV~ 605 II, 1 | relaxation of sleep. An Ixion’s lot must needs possess 606 II, 4 | let their extremities be joined by the straight line BC. 607 I, 4 | the straight line which joins them. It is no more satisfactory 608 II, 12| that its movement will be a joint product. Each sphere, in 609 II, 14| reaches the centre, and the jostling of parts greater and smaller 610 I, 5 | beginning. And if the time of a journey has a beginning, there must 611 II, 12| difficulty which may with equal justice be raised is this. Why is 612 I, 3 | the circular, nature seems justly to have exempted from contraries 613 I, 8 | follows from the supposed juxtaposition of the worlds. For either 614 I, 3 | increases upon contact with a kindred body, which is resolved 615 III, 8 | as well postulate that a knife or a saw divides things 616 III, 8 | saw divides things into knives or saws. It is also ridiculous 617 II, 8 | heavens have to move in one lace, and the stars are not required 618 I, 9 | divine-and it has no defect and lacks none of its proper excellences. 619 I, 8 | evident from the principles laid down in our discussion of 620 II, 2 | as right and left, a boy land below, front and back. Hence 621 III, 1 | similarly, in putting the lanes together, superficial contact 622 IV, 1 | own view of the matter.~Language recognizes (a) an absolute, ( 623 I, 10| must be a process and a lapse of time separating the two 624 III, 4 | another. The extrusion of the largest atoms is a process that 625 I, 1 | nature as (so to speak) laws of it, we make further use 626 III, 1 | that contact is linear by laying one along the other, though 627 II, 7 | themselves fired so strongly that leaden balls are melted; and if 628 II, 8 | such movement. For nature leaves nothing to chance, and would 629 II, 13| considerations some have been led to assert that the earth 630 II, 2 | its opposite, right and left-all these three oppositions 631 II, 2 | see, the movement will be leftward, which we deny to be the 632 II, 4 | if, for instance, it were lentiform, or oviform, in every case 633 IV, 3 | moved qua healable or qua liable to disease whether the motion 634 II, 13| not cut, but covers like a lid, the air beneath it. This 635 IV, 2 | is imprisoned in bodies, lightens them and sometimes makes 636 III, 4 | limited in number, though such limitation would necessitate no other 637 I, 11| possible is determined by a limiting maximum. Now perhaps the 638 I, 3 | suppose that immortal is linked with immortal and regard 639 III, 7 | of transformation. As the liquid is converted into vapour 640 II, 13| borrow from observations of liquids and of air, in which the 641 I, 9 | and most selfsufficient of lives. As a matter of fact, this 642 I, 9 | unalterable and unmodified, living the best and most selfsufficient 643 IV, 6 | long as they are round or long-a needle, for instance-sink 644 II, 10| revolution should take the longest time to complete its circle, 645 II, 5 | what kind of certainty is looked for, whether human merely 646 II, 13| earth the central position, looking for confirmation rather 647 II, 13| little bit of earth, let loose in mid-air moves and will 648 II, 1 | relaxation of sleep. An Ixion’s lot must needs possess it, without 649 I, 9 | centre or that which lies lowest. Naturally they could not 650 IV, 3 | which to some has been the main difficulty-the question 651 I, 5 | an infinite body, as the majority of the ancient philosophers 652 III, 2 | unnatural movements are manifold. The same may be shown, 653 II, 4 | with a finish which no manufactured thing nor anything else 654 III, 8 | connecting and uniting being a mark of fire, while the separating 655 II, 12| pass beneath the planet Mars, which vanished on its shadow 656 II, 9 | large vessel the motion of mast and poop should not make 657 III, 4 | substance was a sort of master-seed for each and every element. 658 III, 7 | required a vessel rather than a material-so that it involves no change 659 I, 11| to effect any part of the maximum-since we feel obliged in defining 660 I, 11| indestructible". These have many meanings, and though it may make 661 I, 4 | from B to A. But what is meant is still rectilinear motion. 662 II, 9 | observation that their speeds, as measured by their distances, are 663 I, 11| need not see the smaller measures contained in it, while, 664 IV, 2 | a stronger position for meeting the foregoing difficulties. 665 III, 1 | maintained the school of Melissus and Parmenides. But however 666 II, 9 | But, as we said before, melodious and poetical as the theory 667 II, 7 | strongly that leaden balls are melted; and if they are fired the 668 III, 1 | For how, except by the merest fiction, can they specify 669 IV, 2 | are involved in all other methods of distinction, whether 670 II, 13| the whole earth, free in midair, should show no movement 671 II, 6 | starting-point, and missiles midway between the two. But circular 672 II, 13| attributed to Thales of Miletus. It was supposed to stay 673 IV, 4 | of wood is heavier than a mina of lead, but in water the 674 I, 3 | believe, recur in men’s minds not once or twice but again 675 III, 4 | one who adopts this view misapprehends the meaning of element. 676 III, 4 | first place, they make the mistake already noticed. The principles 677 I, 3 | Anaxagoras, however, scandalously misuses this name, taking aither 678 III, 3 | like. Earth and fire are mixtures, composed of them and all 679 III, 8 | cuts things because of its mobility. The difference, then, will 680 III, 8 | Timaeus, will be best for modelling-so the elements should be conceived 681 II, 12| way, as a proof rather of modesty than of overconfidence.~ 682 I, 12| moment is alike and the moments are infinite in number, 683 II, 14| which the moon itself each month shows are of every kind 684 I, 7 | force is infinite. So the motive body also will be infinite. ( 685 II, 13| tongue, poured from the mouths of those who have seen but 686 II, 3 | is inconceivable that a movable body should be eternal, 687 II, 12| indeed, but at the cost of a multiplicity of movement.~As to the difficulty 688 II, 9 | we should not hear this music, they explain this by saying 689 II, 9 | are in the same ratios as musical concordances, they assert 690 I, 8 | our world. For if these names are used equivocally, if 691 IV, 6 | which are broad, while the narrow ones fall through, because 692 II, 14| But the spherical shape, necessitated by this argument, follows 693 II, 1 | persist eternally by the necessitation of a soul. For a soul could 694 III, 2 | came to birth without a neck." The answer to the view 695 IV, 6 | they are round or long-a needle, for instance-sink down; 696 II, 14| seen in Egypt and in the neighbourhood of Cyprus which are not 697 II, 13| one of the stars, creating night and day by its circular 698 II, 9 | produced upon us. Excessive noises, we know, shatter the solid 699 I, 12| time during which continued nonexistence is possible. And this is 700 II, 14| which are not seen in the northerly regions; and stars, which 701 II, 14| different, as one moves northward or southward. Indeed there 702 I, 9 | to be curvature in the nose or flesh, and flesh to be 703 I, 12| that to which being and not-being are both possible; for the 704 I, 12| always existing and of always not-existing. And "not always existing", 705 III, 4 | make the mistake already noticed. The principles which they 706 IV, 2 | than ours, have an air of novelty. It is apparent that there 707 IV, 3 | immediate in the case of nutriment, when nothing hinders, and 708 I, 11| predication will always remain obscure.~The word "ungenerated" 709 IV, 3 | thing, and in each it is observable that change proceeds from 710 III, 7 | Empedocles do, though without observing it themselves, is to reduce 711 II, 13| these moving bodies can obstruct it. Indeed, as in any case 712 IV, 3 | earth moves, when nothing obstructs it, towards its own place. 713 I, 7 | keep the proportion which obtains between the agents, greater 714 II, 14| of elephants, a species occurring in each of these extreme 715 II, 14| and that in this way the ocean is one. As further evidence 716 III, 8 | all possess angles, the octahedron and dodecahedron as well 717 II, 1 | their beginning, to others offering the goal. The ancients gave 718 II, 1 | we must not believe the old tale which says that the 719 II, 13| water. This, indeed, is the oldest theory that has been preserved, 720 II, 2 | be criticized, first, for omitting the more fundamental principles, 721 I, 4 | is an obvious tendency to oppose the straight line to the 722 III, 3 | becomes them. Now Anaxagoras opposes Empedocles’ view of the 723 I, 12| capacities to be actualized, opposites will be present together. ( 724 III, 5 | figures as fire is of bodies, or-more ingeniously-the position 725 II, 10| 10~With their order-I mean the position of each, 726 II, 4 | figures.~If, again, one orders figures according to their 727 II, 8 | has bestowed upon them no organ appropriate to such movement. 728 II, 8 | possible from things which have organs of movement. This is just 729 II, 9 | in spite of the grace and originality with which it has been stated, 730 III, 2 | But no natural fact can originate in chance. This is a point 731 II, 13| straight. Such an appearance ought not to make them doubt the 732 II, 14| concave-but in eclipses the outline is always curved: and, since 733 II, 13| natural place.~We have now outlined the views held as to the 734 II, 13| One must decide at the outset whether bodies have a natural 735 II, 12| rather of modesty than of overconfidence.~Of many such problems one 736 II, 8 | while caring for animals, overlook things so precious. Indeed, 737 II, 4 | instance, it were lentiform, or oviform, in every case we should 738 III, 8 | and motions, to which they paid particular attention in 739 II, 1 | live in such conditions painlessly or happily, since the movement 740 IV, 2 | number of triangles. But the palpable fact, on the contrary, is 741 II, 4 | since the whole revolves, palpably and by assumption, in a 742 I, 10| and dissolves is no more paradoxical than to make it eternal 743 III, 1 | the school of Melissus and Parmenides. But however excellent their 744 IV, 6 | which is therefore easily parted. And these considerations 745 IV, 2 | numerical superiority of equal parts-in precisely the same way, 746 I, 10| rather an arbitrator than a party to the dispute.~That the 747 II, 14| there would have to be passings and turnings of the fixed 748 I, 4 | path, while the circular paths which pass through the same 749 II, 13| causes that most writers pay attention: but there are 750 III, 8 | cold because instead of penetrating through the passages it 751 II, 13| difference of opinion. Most people-all, in fact, who regard the 752 | per 753 II, 1 | would be inconsistent with perfection. Hence we must not believe 754 II, 12| ends beyond them-while the perfectly conditioned has no need 755 II, 6 | and every time, but every performance has its definite minimum 756 I, 6 | finite, in which the infinite performs the motion, a finite weight 757 II, 12| in the divine principle permits. But the first heaven finds 758 III, 1 | except one single thing which persists as the basis of all these 759 I, 11| for instance, clear that a person who cannot walk a thousand 760 II, 1 | world. Hence it is well to persuade oneself of the truth of 761 IV, 4 | in our view the continent pertains to form and the contained 762 III, 5 | the pyramid is the most piercing of figures as fire is of 763 II, 14| between the parts about the pillars of Hercules and the parts 764 II, 4 | tends to collect in a hollow place-"hollow" meaning "nearer the centre". 765 I, 7 | intelligence, it will be in a place-since place is what "within" and " 766 II, 12| little to go upon, and are placed at so great a distance from 767 I, 10| held in the Timaeus, where Plato says that the heaven, though 768 I, 10| number the view is more plausible. But whether this is, or 769 I, 12| to say that a man who is playing the harp, but not singing, 770 I, 10| who have first heard the pleas of our adversaries will 771 IV, 2 | void, for instance, and the plenum-no reason can be given for 772 II, 9 | said before, melodious and poetical as the theory is, it cannot 773 II, 9 | vessel the motion of mast and poop should not make a great 774 II, 3 | contraries is the same. Also, the positive is prior to its privation ( 775 III, 8 | own a cube. Again, if the possession of angles makes a body produce 776 II, 5 | distinction of prior and posterior, which provides a reason 777 II, 10| priority of some and the posteriority of others, and their respective 778 III, 1 | of the other views may be postponed. But this last theory which 779 II, 13| tale told by many a tongue, poured from the mouths of those 780 I, 1 | Further, we use the terms in practice in this way. Of two things, 781 II, 13| that movement caused the pre-existent heavy and light things to 782 III, 2 | but in the absence of any pre-existing mass generation is impossible. 783 III, 6 | which is infinite, being preceded by the period of analysis. 784 III, 2 | cause of movement and each preceding term in the series is always 785 III, 7 | assumed: they had certain predetermined views, and were resolved 786 I, 11| its most proper use the predicate "indestructible" is given 787 I, 11| which is the ground of the predication will always remain obscure.~ 788 I, 12| since either E or F is predictable of everything. But of that 789 III, 8 | either of both functions or preferably of the combining function. 790 I, 3 | lightness or heaviness. As a preliminary we must explain in what 791 I, 2 | in the composition. These premises clearly give the conclusion 792 I, 4 | and if one of the two were preponderant, the other would be inoperative. 793 IV, 4 | or the other happens to preponderate the bodies will be heavy 794 II, 13| surface which the earth presents to the air which underlies 795 II, 13| oldest theory that has been preserved, and is attributed to Thales 796 II, 7 | upper body to be fire, the presumption being that a thing is composed 797 III, 4 | homocomerous bodies. They do not pretend that a face is composed 798 II, 14| The greater quantity must prevail until the body’s centre 799 I, 2 | it will be in virtue of a prevailing simple element), then there 800 I, 2 | of the simple body which prevails in the composition. Supposing, 801 II, 13| is for this same reason prevented from moving with the downward 802 II, 13| about it at a higher speed, prevents movement of the earth, as 803 II, 8 | wavering. The same reason probably accounts for the apparent 804 II, 12| overconfidence.~Of many such problems one of the strangest is 805 III, 6 | process of synthesis. For the processes of analysis and synthesis 806 I, 10| less open to the charge of procuring judgement by default. To 807 II, 8 | which makes selforiginated progression possible, and to have removed 808 II, 8 | that it has no dependent or projecting part, as a rectilinear figure 809 II, 4 | a moment because of the projection at the corners. Similarly, 810 I, 7 | which moves upward, can prolong its movement to infinity. 811 II, 8 | visual ray being excessively prolonged becomes weak and wavering. 812 III, 2 | produces upward motion, being propelled and set in motion by the 813 III, 8 | left the cold out, though properly either all or none should 814 I, 7 | times and masses varying proportionately. There is thus no finite 815 II, 8 | each star should be exactly proportioned to the size of its circle. 816 I, 9 | popular philosophy often propounds the view that whatever is 817 II, 5 | excessive zeal to try to provide an explanation of some things, 818 I, 5 | moving past it, less rapidly; provided that the speed of the latter 819 II, 5 | prior and posterior, which provides a reason and so solves our 820 II, 1 | those who differ from us in providing for its generation. If our 821 III, 4 | possible, consistently with proving what has to be proved. This 822 III, 5 | figures are composed of pryamids: but the finest body is 823 IV, 3 | are thought to be moved purely from without. Sometimes, 824 II, 3 | motion, though we have to pursue our inquiries at a distance-a 825 II, 13| These thinkers seem to push their inquiries some way 826 II, 13| of Colophon, that it has "pushed its roots to infinity",- 827 II, 13| interrogating oneself one pushes the inquiry only to the 828 III, 4 | while the sphere has eight pyramidal parts. The figures must 829 II, 2 | with those who are known as Pythagoreans-to whom indeed the view really 830 III, 7 | contain an infinity of finite quanta. When earth produces water 831 III, 5 | nature. For if all bodies are quantitatively commensurable, and the relative 832 II, 13| at rest.~In general, our quarrel with those who speak of 833 II, 14| similar movement from each quarter of the extremity to the 834 III, 6 | its contrary when it is quenched, and by itself when it dies 835 II, 14| the centre-but it might be questioned since both centres are the 836 II, 1 | round, received a movement quick enough to overpower its 837 I, 2 | it is the unnatural which quickest passes away. And so, if, 838 II, 8 | to the fixed stars it is quivering because of the distance 839 II, 14| evidence in favour of this they quote the case of elephants, a 840 I, 5 | angles to it, E, and a moving radius, CD. CD will never cease 841 IV, 2 | things, there was no need to raise the question why composite 842 IV, 6 | objection which he himself raises. His reply to the objection 843 I, 9 | eternal. We may begin by raising a difficulty. From one point 844 II, 11| since nature is no wanton or random creator, clearly she will 845 II, 9 | size, are moving with so rapid a motion, how should they 846 II, 1 | uneasy and devoid of all rational satisfaction; for it could 847 I, 7 | limit, while the action and reaction have.~(3. There is no interaction 848 IV, 2 | quantity of air the more readily it moves upward, and any 849 III, 2 | disorderly movement means in reality unnatural movement, since 850 I, 10| then destroyed, never to reappear; since before it came into 851 IV, 3 | off which the moving thing rebounded, as was explained in our 852 II, 13| the cause. Hence the sharp rebuke of Empedocles, in the words " 853 II, 1 | by being whirled round, received a movement quick enough 854 III, 1 | also their alterations and reciprocal transformations. It is obvious, 855 I, 4 | a straight line must be recognized as having the best claim 856 IV, 2 | no obvious suggestion for reconciling their views with the observed 857 I, 3 | so far as our inherited records reach, no change appears 858 I, 8 | change. For instance, to recover health is to change from 859 II, 1 | of mortal animals, take recreation in the bodily relaxation 860 I, 3 | ideas, one must believe, recur in men’s minds not once 861 III, 7 | observing it themselves, is to reduce the generation of elements 862 III, 5 | not an infinity and not reducible to one, they must be several 863 II, 12| itself, but only running or reduction of flesh, so that one or 864 I, 11| move or to lift weights, we refer always to the maximum. We 865 I, 8 | worlds. For either we must refuse to admit the identical nature 866 I, 5 | infinite line, therefore, refuses to complete the circle.~( 867 II, 12| first place this reason for regarding the arrangement as a natural 868 II, 10| several stars depend, as regards the varieties of speed which 869 III, 5 | prior to the element, a regress which continues infinitely, 870 I, 12| impossible. No capacity relates to being in the past, but 871 II, 1 | recreation in the bodily relaxation of sleep. An Ixion’s lot 872 I, 12| obvious from our former remarks, since between what always 873 II, 10| influenced, and the most remote, by reason of its distance, 874 III, 2 | but if so, we shall simply repeat the same argument; and either 875 III, 1 | a science unless you can replace them with others more convincing. 876 I, 7 | are dissimilar, they must represent either a finite or an infinite 877 II, 13| to treat our results as representing fact. Bodies, we say, which 878 III, 1 | mathematical sphere will reproduce themselves when it is applied 879 II, 8 | unsuitable, least of all resembling shapes which are self-moved, 880 III, 7 | Democritus say, or as those who resolve bodies into planes say, 881 III, 6 | destroying, that is, in resolving into smaller bodies, a body 882 II, 1 | possess it, without end or respite. If then, as we said, the 883 IV, 3 | change of themselves, ie. in response to a slight external movement 884 IV, 4 | while the air remains at rest-clearly this body is moving towards 885 II, 14| it is obvious that the resulting mass would be similar on 886 II, 13| spherical, so long as it retains its size. So far as their 887 II, 6 | eternal, and in length it returns upon itself without a break. 888 II, 12| as observation has itself revealed. For we have seen the moon, 889 I, 10| destructible. Let us start with a review of the theories of other 890 IV, 6 | thing is the weaker, will it ride upon the surface.~We have 891 II, 9 | noise, than a ship on a river moving with the stream. 892 II, 9 | thunder, for instance, splits rocks and the strongest of bodies. 893 II, 8 | clear that the stars do not roll. For rolling involves rotation: 894 II, 13| that it has "pushed its roots to infinity",-in order to 895 IV, 4 | to the extremity and thus rose to the surface of all moving 896 I, 2 | hand, the movement of the rotating bodies about the centre 897 I, 9 | be the same. The general rule is this: a thing whose essence 898 III, 2 | begins after the process ruled by Love: for he could not 899 II, 12| steps to enable himself to run, thus further increasing 900 I, 3 | derived from the fact that it "runs always" for an eternity 901 II, 1 | needs some Atlas to keep it safe-a tale composed, it would 902 IV, 4 | another body in which it sank: and if that had weight, 903 II, 1 | and devoid of all rational satisfaction; for it could not even, 904 II, 12| attempt to secure it but is satisfied to reach a point not far 905 III, 8 | divides things into knives or saws. It is also ridiculous to 906 III, 5 | an infinite body-so they say-bracing all the heavens.~Now those 907 I, 3 | time. Anaxagoras, however, scandalously misuses this name, taking 908 II, 13| bodies: for even the wind can scarcely move them because of their 909 I, 7 | that the total of all these scattered particles, say, of fire, 910 I, 3 | place either in the whole scheme of the outermost heaven 911 III, 1 | illusion. So maintained the school of Melissus and Parmenides. 912 IV, 3 | successive members of the scries are like one another: water, 913 I, 5 | rather all-important, to our search for the truth. It is this 914 I, 9 | which we take to be the seat of all that is divine. ( 915 II, 2 | Relatively, however, to the secondary revolution, I mean that 916 III, 3 | of them and all the other seeds, each consisting of a collection 917 II, 13| only constrained movement. Seeing, however, that we have already 918 II, 14| eclipses of the moon show segments shaped as we see them? As 919 I, 8 | wishes of the mover may select. Thus, too, fire and earth 920 II, 8 | resembling shapes which are self-moved, in that it has no dependent 921 II, 8 | does, the swiftest and most selfcontained motion, for forward movement 922 II, 9 | are spherical and are not selfmoved, has now been explained.~ 923 II, 8 | of everything which makes selforiginated progression possible, and 924 I, 9 | living the best and most selfsufficient of lives. As a matter of 925 II, 2 | locomotion from the right, sensemovement from in front (for front 926 I, 9 | composed of all physical and sensible body, because there neither 927 II, 9 | that no effect other than sensitive is produced upon us. Excessive 928 III, 8 | separating. For though it separates bodies different in kind, 929 I, 12| we car now proceed to the sequel. If there are thing! capable 930 II, 12| bodies, and as units with a serial order indeed but entirely 931 III, 1 | and the other terms of the series-and all things composed of them; 932 II, 13| that, as the sun rises and sets, the part concealed by the 933 II, 14| the stars, and others who, setting it at the centre, suppose 934 I, 11| us, for we may take it as settled that what is, in the strict 935 IV, 1 | questions which require settlement in the interests of this 936 IV, 3 | begin our own statement by settling a question which to some 937 IV, 4 | air. Now other bodies are severally light and heavy, and evidently 938 II, 12| Mars, which vanished on its shadow side and came forth by the 939 II, 14| of the moon show segments shaped as we see them? As it is, 940 II, 12| come as near to it as their share in the divine principle 941 II, 13| for the cause. Hence the sharp rebuke of Empedocles, in 942 | she 943 II, 8 | also admit that if stars shifted their position so as to 944 II, 12| forth by the bright and shining part. Similar accounts of 945 I, 4 | in the sense in which a shoe is useless when it is not 946 II, 13| upward and downward and sideways were all, they thought, 947 II, 2 | the diviner, or to some similarity to our own members, such 948 I, 12| follow that he can at once sit and stand, only that at 949 II, 1 | the bodily relaxation of sleep. An Ixion’s lot must needs 950 IV, 2 | bronze is heavier than a smaller-and this holds good of all homogeneous 951 II, 9 | accustomed to the noise of the smithy that it makes no difference 952 II, 13| now keeps its place, the so-called "whirling" movement by which 953 II, 13| constraint will not be the sole principle of motion or of 954 III, 1 | away, nothing having any solidity, except one single thing 955 II, 13| may well wonder that the solutions offered are not seen to 956 II, 5 | provides a reason and so solves our difficulty. Supposing 957 IV, 2 | body is no more equal to solving the problem before us. The 958 | somehow 959 II, 3 | deter us. The reason must be sought in the following facts. 960 II, 9 | a harmony, i.e. that the sounds they make are concordant, 961 II, 14| small change of position to south or north causes a manifest 962 II, 14| as one moves northward or southward. Indeed there are some stars 963 II, 2 | for two hemispheres are specially distinguished from all others 964 I, 2 | parts of the whole which are specifically distinct. Let us take this 965 III, 1 | merest fiction, can they specify the number and character 966 III, 1 | generation a fact or not? Earlier speculation was at variance both with 967 IV, 2 | light, because in common speech we distinguish a lighter 968 II, 8 | natural that both should be spherical-a shape which best suits the 969 II, 8 | observed. (1) Suppose them to spin. They would then stay where 970 II, 8 | itself, namely rolling and spinning, it follows that if the 971 II, 9 | of thunder, for instance, splits rocks and the strongest 972 II, 5 | be a matter of chance or spontaneity, and the heaven and its 973 III, 5 | composed of small parts is so spread out. In the end, then, they 974 III, 5 | parts coarse. For that which spreads itself out widely is fine, 975 IV, 3 | bodies are thought to have a spring of change within themselves, 976 I, 11| this, since he who sees a stade need not see the smaller 977 I, 11| talents or walk a hundred stades-though a power to effect the maximum 978 II, 14| the point from which they started, even if they are thrown 979 II, 2 | such as the parts of a statue possess; or we may take 980 I, 6 | own, more than one, though stopping short of infinity. First, 981 II, 13| at the extremities. It is strange, too, to ask about things 982 II, 12| such problems one of the strangest is the problem why we find 983 II, 9 | a river moving with the stream. Yet by the same argument 984 I, 11| settled that what is, in the strict sense, possible is determined 985 II, 8 | seems deliberately to have stripped them of everything which 986 II, 9 | instance, splits rocks and the strongest of bodies. But if the moving 987 III, 1 | cannot be held to speak as students of nature. There may be 988 III, 1 | higher inquiry than the study of nature. They, however, 989 II, 7 | is composed of the same stuff as that in which it is situated. 990 I, 3 | straight, the latter being subdivided into motion away from and 991 I, 1 | parts always capable of subdivision, and a body is that which 992 IV, 3 | within themselves, while the subjects of healing and increase 993 II, 2 | in other respects, which subsequently is included in a sphere. 994 I, 3 | that generation and decay subsist. Again, that which is subject 995 I, 9 | everything that is perceptible subsists, as we know, in matter. 996 II, 12| this good, but only some substitute for it. To succeed often 997 III, 6 | destructive process which succeeds in destroying, that is, 998 III, 7 | those elements which do suffer dissolution, the "suspension" 999 III, 2 | same way. This discussion suffices to show (1) that all bodies 1000 IV, 2 | treatment they consider a sufficient analysis also of the notions