Book,  Paragraph

1001  II,  13|         nothing in the observations to suggest that we are removed from
1002  II,  14|              of these extreme regions, suggesting that the common characteristic
1003  II,  5 |          difficulty just stated itself suggests, the distinction of prior
1004   I,  6 |          asserted or denied), but also suitably to our present purpose in
1005  II,  8 |           spherical-a shape which best suits the movement of the one
1006  II,  4 |                the triangle, being the sum of two right angles, to
1007  II,  8 |                movement is the sun, at sunrise or sunset, and this appearance
1008  II,  8 |              is the sun, at sunrise or sunset, and this appearance is
1009 III,  4 |               will in time exhaust the supply; and it is by such a process
1010  II,  9 |              air or fire, as every one supposes, their motion would necessarily
1011   I,  9 |                whatever is primary and supreme, is necessarily unchangeable.
1012  II,  14|            Hence one should not be too sure of the incredibility of
1013  II,  4 |         surface: for the division into surfaces is not just dividing a whole
1014  II,  13|           complacent mind that felt no surprise that, while a little bit
1015  II,  7 |              and if they are fired the surrounding air must be similarly affected.
1016 III,  7 |               suffer dissolution, the "suspension" of the triangles is unsatisfactory.
1017  IV,  5 |              common surface with it is swift enough to overpower the
1018  II,  4 |                a circle and moves more swiftly than anything else, it must
1019  IV,  4 |                In air, for instance, a talent’s weight of wood is heavier
1020   I,  10|                other hand, there is no temporal separation. It is clear
1021  II,  12|                 For instance, to throw ten thousand Coan throws with
1022  II,  13|                said, however great the tension, will not break under it,
1023  II,  4 |        Therefore the place in which it terminates will be a hollow place.
1024  II,  1 |               and our present argument testifies that it is indestructible
1025  II,  13|        preserved, and is attributed to Thales of Miletus. It was supposed
1026  II,  4 |                are yet contiguous with them-and if the surface of water
1027  II,  12|                directed to ends beyond them-while the perfectly conditioned
1028   I,  12|               which is generated to be thenceforward indestructible, or for a
1029 III,  8 |            offer corroboration of this theoretical conclusion. Just as in other
1030  II,  13|              lines of the indifference theory-but rather each corresponding
1031         | thereafter
1032 III,  2 |              will suppose, is a moving thing-as Empedocles says that it
1033  IV,  4 |            rises to the surface of all things-and we observe fire to move
1034  II,  12|           regard the zeal of one whose thirst after philosophy leads him
1035  II,  13|          though exceedingly hungry and thirsty, and both equally, yet being
1036 III,  2 |               Anaxagoras seems to have thoroughly grasped; for he starts his
1037   I,  5 |            truth is multiplied later a thousandfold. Admit, for instance, the
1038  IV,  6 |              and dusty materials which throng the air. With regard to
1039  II,  12|                throw ten thousand Coan throws with the dice would be impossible,
1040  II,  14|             driving the lesser forward till this goal is reached. In
1041 III,  7 |              of what was in it all the time-as though generation required
1042  II,  2 |             four, which have as good a title as they. There is no less
1043  IV,  4 |               and movement is a coming to-be in one place from another.
1044  II,  13|               vain tale told by many a tongue, poured from the mouths
1045   I,  9 |             removed. Whatever case you took it would be the same. The
1046   I,  5 |               truths of mathematics to totter. The reason is that a principle
1047   I,  11|                This, however, does not touch our argument. The maximum
1048  II,  14|            will not stop when its edge touches the centre. The greater
1049  II,  1 |               of the ancient and truly traditional theories, that there is
1050  II,  12|         running and wrestling and hard training, and there are yet others
1051 III,  1 |               entities, they naturally transferred what was true of them to
1052 III,  7 |              is obvious in any case of transformation. As the liquid is converted
1053 III,  2 |               In either case the force transmits the movement to the body
1054   I,  6 |               Further, a finite weight traverses any finite distance in a
1055   I,  4 |              also coupled together and treated as a unity in opposition
1056   I,  11|               of mind must result from treating as uniform in its use a
1057  IV,  2 |               be the lighter. And this treatment they consider a sufficient
1058  II,  9 |           necessarily cause a noise of tremendous strength and such a noise
1059  II,  8 |           excessive extension; and its tremor produces an appearance of
1060   I,  1 |                number they give is the triad. And so, having taken these
1061  II,  2 |               and left. We need not be troubled by the question, arising
1062   I,  5 |                is, causes the greatest truths of mathematics to totter.
1063  II,  13|         forcing their observations and trying to accommodate them to certain
1064  II,  14|                have to be passings and turnings of the fixed stars. Yet
1065   I,  11|           thousand stades will also be unable to walk a thousand and one.
1066 III,  4 |         implications of which are also unacceptable. The primary masses, according
1067  II,  9 |             Since, however, it appears unaccountable that we should not hear
1068  II,  11|          movement a shape particularly unadapted to movement. Such a shape
1069  II,  1 |            ungenerated. Further, it is unaffected by any mortal discomfort,
1070   I,  3 |            increase or diminution, but unaging and unalterable and unmodified,
1071   I,  7 |        original presuppositions remain unchallenged. For the primary movements
1072   I,  9 |                supreme, is necessarily unchangeable. This fact confirms what
1073  IV,  4 |                the difference of their uncompounded parts: that is to say, according
1074  II,  13|              presents to the air which underlies it; while the air, not having
1075 III,  7 |                the attitude of men who undertake the defence of a position
1076   I,  10|               the generated to persist undestroyed. (This is held in the Timaeus,
1077  II,  4 |           solids they leave the sphere undivided, as not possessing more
1078  II,  1 |     continuously. It must therefore be uneasy and devoid of all rational
1079   I,  6 |              has its weight equally or unequally distributed. For it must
1080  II,  13|               word "centre" were quite unequivocal, and the centre of the mathematical
1081  II,  6 |                one. If the movement is uneven, clearly there will be acceleration,
1082   I,  12|                 and the indestructible ungenearted, then each of them is coincident
1083 III,  7 |             knowledge of nature is the unimpeachable evidence of the senses as
1084   I,  5 |           question, either way, is not unimportant, but rather all-important,
1085   I,  9 |              all bones in indissoluble union. The possibility of another
1086 III,  8 |            functions of connecting and uniting being a mark of fire, while
1087         | unlikely
1088  II,  6 |            unnatural, being simple and unmixed and in its proper place
1089  II,  6 |          particularly unlikely to pass unobserved, since contrast makes observation
1090   I,  9 |            universe" and of "universe" unqualified. There is a difference,
1091  II,  2 |           right, the upper must be the unseen pole. For if it is the pole
1092 III,  8 |        substratum must be formless and unshapen-for thus the "all-receptive",
1093 III,  8 |                of the simple bodies is unsound, for the reason, first,
1094  II,  8 |                movement it is the most unsuitable, least of all resembling
1095  II,  6 |         definite minimum time which is unsurpassable, so, one might suppose,
1096  II,  14|              axis. That both views are untenable will be clear if we take
1097   I,  8 |                 in its own world, move upwards, and fire to the centre;
1098  IV,  1 |          downward movement. (The view, urged by some, that there is no
1099  IV,  1 |            have an up and down. Common usage is thus correct, though
1100         | using
1101  II,  13|                ample ether-such is the vain tale told by many a tongue,
1102  II,  12|         beneath the planet Mars, which vanished on its shadow side and came
1103 III,  7 |               liquid is converted into vapour or air the vessel which
1104 III,  1 |             Earlier speculation was at variance both with itself and with
1105 III,  2 |         motions too must be infinitely varied. For a finite number of
1106  II,  10|           stars depend, as regards the varieties of speed which they exhibit,
1107  II,  12|            primary motion is crowded a vast multitude of stars, while
1108   I,  3 |               and their parts and with vegetable bodies, and similarly also
1109  IV,  4 |             heavy in another, and vice versa. In air, for instance, a
1110  IV,  4 |               as heavy in another, and vice versa. In air, for instance,
1111 III,  4 |             There is, further, another view-that of Leucippus and Democritus
1112  II,  8 |               reaches them in its full vigour, but when it comes to the
1113  II,  9 |          bodies none of the effects of violent force, is easily given:
1114   I,  3 |             locomotion by being forced violently aside in an upward or downward
1115  II,  8 |                ray or in the object of vision.~(2) On the other hand,
1116  IV,  2 |             movement? Not, surely, its voidness: for it is not the void
1117  II,  11|               the moon as it waxes and wanes show for the most part a
1118  II,  11|                and, since nature is no wanton or random creator, clearly
1119  II,  13|               water in the case of the water-clock. And they adduce an amount
1120  II,  14|                would bring about not a waved surface, but rather compression
1121  II,  8 |             prolonged becomes weak and wavering. The same reason probably
1122 III,  7 |           change of shape, as the same wax takes the shape both of
1123  II,  11|             else should the moon as it waxes and wanes show for the most
1124  II,  8 |          excessively prolonged becomes weak and wavering. The same reason
1125  IV,  6 |              of the heavy thing is the weaker, will it ride upon the surface.~
1126  IV,  4 |                a bladder when inflated weighs more than when empty. A
1127  IV,  5 |               weight and lightness has weightwhereas earth has weight everywhere-but
1128  IV,  1 |                is over us. But if they went on to think of the world
1129  II,  1 |                so, the more eternal it were-and would be inconsistent with
1130  II,  1 |               that the world, by being whirled round, received a movement
1131  IV,  3 |                 attains health and not whiteness; and similar questions might
1132 III,  1 |           difference between white and whiter is white. Here the difference
1133         | whither
1134  II,  14|            alike, is the centre of the whole-whence the fact that it is now
1135  II,  4 |            contact with it must be, as wholes, spherical; and the bodies
1136  IV,  6 |               is because they cover so wide a surface and the greater
1137 III,  5 |               which spreads itself out widely is fine, and a thing composed
1138  II,  13|       flat-shaped bodies: for even the wind can scarcely move them because
1139 III,  1 |               could be no knowledge or wisdom without some such unchanging
1140   I,  8 |          direction which chance or the wishes of the mover may select.
1141  II,  4 |             out of planes seem to bear witness to the truth of this. Alone
1142  II,  13|           philosophy; and one may well wonder that the solutions offered
1143   I,  9 |               one thing, the bronze or wooden circle another. For when
1144  IV,  2 |                for instance, if one be wool and the other bronze), there
1145  II,  12|           others who however hard they worked themselves could never secure
1146   I,  4 |              is useless when it is not worn. But God and nature create
1147   I,  1 |                the number three in the worship of the Gods. Further, we
1148  II,  12|           another requires running and wrestling and hard training, and there
1149  IV,  2 |             that which is set forth in writing in the Timaeus, that the
1150 III,  7 |                ultimate principles are wrongly assumed: they had certain
1151  II,  13|              is infinite, saying, with Xenophanes of Colophon, that it has "
1152  II,  12|                been kept for very many years past, and from whom much
1153  II,  13|              place, the "Guardhouse of Zeus", as if the word "centre"