Book, Paragraph
1 I, 2 | Now we say that (a) the continuous is one or that (b) the indivisible
2 I, 2 | One is one in the sense of continuous, it is many, for the continuous
3 I, 2 | continuous, it is many, for the continuous is divisible ad infinitum.~
4 I, 2 | of wholes which are not continuous.) Further, if each of the
5 I, 3 | in the sense that it is continuous or in the sense that it
6 II, 2 | For if a thing undergoes a continuous change and there is a stage
7 II, 8 | are natural which, by a continuous movement originated from
8 III, 1 | class of things which are continuous; and the infinite presents
9 III, 1 | used in definitions of the continuous ("what is infinitely divisible
10 III, 1 | infinitely divisible is continuous"). Besides these, place,
11 III, 4 | say that the infinite is continuous by contact-compounded of
12 III, 7 | contrary holds. What is continuous is divided ad infinitum,
13 III, 7 | subject as such being what is continuous and sensible. All the other
14 IV, 5 | homogeneous substance which is continuous, the parts are potentially
15 IV, 6 | whole body, which remains continuous.~These people, then, have
16 IV, 7 | even in the rotation of continuous things, as in that of liquids.~
17 IV, 9 | themselves carry up what is continuous with them. Yet how can void
18 IV, 11 | something, and all magnitude is continuous. Therefore the movement
19 IV, 11 | Because the magnitude is continuous, the movement too must be
20 IV, 11 | the movement too must be continuous, and if the movement, then
21 IV, 11 | then, also is both made continuous by the "now" and divided
22 IV, 11 | before and after", and is continuous since it is an attribute
23 IV, 11 | an attribute of what is continuous.~
24 IV, 12 | as long or short. For as continuous it is long or short and
25 IV, 12 | because they are quanta and continuous and divisible. The movement
26 IV, 13 | from now to them is not continuous, but because they are not
27 IV, 14 | is simply the number of continuous movement, not of any particular
28 V, 3 | succession", "contiguous", and "continuous", and to show in what circumstances
29 V, 3 | touches is "contiguous". The "continuous" is a subdivision of the
30 V, 3 | contiguous: things are called continuous when the touching limits
31 V, 3 | succession", "contiguous" and "continuous": and we have shown in what
32 V, 4 | inquiry.~Since every motion is continuous, a motion that is one in
33 V, 4 | motion is divisible) be continuous, and a continuous motion
34 V, 4 | divisible) be continuous, and a continuous motion must be one. There
35 V, 4 | have consecutive but not continuous locomotion: for according
36 V, 4 | virtue of the time being continuous, but there can be continuity
37 V, 4 | motions themselves being continuous, that is when the end of
38 V, 4 | in an unqualified sense continuous and one must be specifically
39 V, 4 | stationariness is not one or continuous, and it is so interrupted
40 V, 4 | provided only that it is continuous.~And besides the cases already
41 V, 4 | while in virtue of being continuous it is one, is so in a lesser
42 V, 4 | the same cannot be one and continuous: for how should a motion
43 VI, 1 | 1~Now if the terms "continuous", "in contact", and "in
44 VI, 1 | defined above things being "continuous" if their extremities are
45 VI, 1 | between them-nothing that is continuous can be composed "of indivisibles":
46 VI, 1 | of points, the line being continuous and the point indivisible.
47 VI, 1 | Moreover, if that which is continuous is composed of points, these
48 VI, 1 | these points must be either continuous or in contact with one another:
49 VI, 1 | given above they cannot be continuous: and one thing can be in
50 VI, 1 | whole, they will not be continuous: for that which is continuous
51 VI, 1 | continuous: for that which is continuous has distinct parts: and
52 VI, 1 | composed. But, as we saw, no continuous thing is divisible into
53 VI, 1 | divisible, in which case it is continuous.~Moreover, it is plain that
54 VI, 1 | is plain that everything continuous is divisible into divisibles
55 VI, 1 | extremities of things that are continuous with one another are one
56 VI, 2 | impossible for anything continuous to be composed of indivisible
57 VI, 2 | follows that time also is continuous. By continuous I mean that
58 VI, 2 | time also is continuous. By continuous I mean that which is divisible
59 VI, 2 | this as the definition of continuous, it follows necessarily
60 VI, 2 | necessarily that time is continuous. For since it has been shown
61 VI, 2 | evident that all time must be continuous. And at the same time it
62 VI, 2 | that all magnitude is also continuous; for the divisions of which
63 VI, 2 | it plain that, if time is continuous, magnitude is continuous
64 VI, 2 | continuous, magnitude is continuous also, inasmuch as a thing
65 VI, 2 | time and generally anything continuous are called "infinite": they
66 VI, 2 | surface nor in fact anything continuous can be indivisible.~This
67 VI, 2 | therefore, that nothing continuous is without parts.~
68 VI, 3 | the other, because nothing continuous can be composed of things
69 VI, 3 | them, because everything continuous is such that there is something
70 VI, 4 | else: for a motion that is continuous must be the motion of things
71 VI, 4 | motion of things that are continuous. And the same result follows
72 VI, 4 | whole being-in motion is continuous.~The same reasoning will
73 VI, 5 | G and B, since change is continuous. Thus we have the result
74 VI, 5 | the change is in something continuous. It is evident, then, that
75 VI, 6 | what is changing changes is continuous. For suppose that a thing
76 VI, 6 | with respect to what is not continuous, changes, that is to say,
77 VI, 6 | is) that is divisible and continuous: though it is not always
78 VI, 6 | of the fact that they are continuous things: and so a thing cannot
79 VI, 8 | magnitude or in fact anything continuous: for everything continuous
80 VI, 8 | continuous: for everything continuous is divisible into an infinite
81 VII, 1 | either in contact with or continuous with that which moves it,
82 VII, 1 | and the movents must be continuous or in contact with one another,
83 VII, 2 | the two things that are continuous: for it is this that causes
84 VII, 2 | adjacent. Thus the air is continuous with that which causes the
85 VII, 2 | undergoes alteration is continuous with the air. Again, the
86 VII, 2 | air. Again, the colour is continuous with the light and the light
87 VII, 2 | causes decrease must be continuous with that which suffers
88 VII, 2 | respectively: and if two things are continuous with one another there can
89 VIII, 2 | same in virtue of being continuous and eternal: we shall have
90 VIII, 3 | out that there cannot be a continuous process either of increase
91 VIII, 3 | therefore, that alteration is continuous is an extravagant calling
92 VIII, 4 | Again, how can anything of continuous and naturally connected
93 VIII, 4 | far as a thing is one and continuous not merely in virtue of
94 VIII, 4 | does anything else that is continuous: in each case the movent
95 VIII, 5 | which it is in contact and continuous, as is clear in the case
96 VIII, 5 | essentially in motion is continuous. Now it is impossible that
97 VIII, 5 | which imparts motion is a continuous substance-that which is
98 VIII, 5 | motion but is unmoved is a continuous substance), or from B the
99 VIII, 6 | others are not and of the continuous process of change: and this
100 VIII, 6 | so, motion must also be continuous, because what is always
101 VIII, 6 | because what is always is continuous, whereas what is merely
102 VIII, 6 | merely in succession is not continuous. But further, if motion
103 VIII, 6 | But further, if motion is continuous, it is one: and it is one
104 VIII, 6 | whole motion will not be continuous but successive.~Moreover
105 VIII, 6 | animals are not always in continuous motion by their own agency:
106 VIII, 6 | impossible that it should cause continuous motion. So the necessity
107 VIII, 6 | be permanent, since it is continuous with the first principle. (
108 VIII, 7 | possible that there should be a continuous motion, and, if it is possible,
109 VIII, 7 | particular motion is primary and continuous, then it is this motion
110 VIII, 7 | necessarily one and the same and continuous and primary.~Now of the
111 VIII, 7 | may be continuously either continuous motion or successive motion,
112 VIII, 7 | better that it should be continuous rather than successive motion,
113 VIII, 7 | be possible: since, then, continuous motion is possible (this
114 VIII, 7 | and no other motion can be continuous except locomotion, locomotion
115 VIII, 7 | without the existence of the continuous motion imparted by the first
116 VIII, 7 | should be a motion that is continuous and eternal. Now it is clear
117 VIII, 7 | other than locomotion can be continuous. Every other motion and
118 VIII, 7 | the change will not be continuous, but a period of time will
119 VIII, 7 | prevents the change from being continuous: so, too, in our previous
120 VIII, 8 | motion that is single and continuous, and that this motion is
121 VIII, 8 | of the former two is not continuous, that which is composed
122 VIII, 8 | composed of them both cannot be continuous either. Now it is plain
123 VIII, 8 | rectilinear and finite it is not continuous locomotion: for the thing
124 VIII, 8 | already defined single and continuous motion to be motion of a
125 VIII, 8 | G: for even if they are continuous and there is no turning
126 VIII, 8 | rectilinear motion cannot be continuous is the fact that turning
127 VIII, 8 | but when its motion is continuous A cannot either have come
128 VIII, 8 | line Z, that A proceeds in continuous locomotion from the extreme
129 VIII, 8 | the motion of a thing is continuous, it is impossible to use
130 VIII, 8 | Consequently there cannot be a continuous rectilinear motion that
131 VIII, 8 | the act of dividing the continuous distance into two halves
132 VIII, 8 | distance nor the motion will be continuous: for motion if it is to
133 VIII, 8 | for motion if it is to be continuous must relate to what is continuous:
134 VIII, 8 | continuous must relate to what is continuous: and though what is continuous
135 VIII, 8 | continuous: and though what is continuous contains an infinite number
136 VIII, 8 | actual, we shall get not a continuous but an intermittent motion.
137 VIII, 8 | if we reckon not the one continuous whole but the two halves.
138 VIII, 8 | For in the course of a continuous motion the traveller has
139 VIII, 8 | Everything whose motion is continuous must, on arriving at any
140 VIII, 8 | motion in question is not continuous.~Our next argument has a
141 VIII, 8 | white and from white is a continuous process and the white does
142 VIII, 8 | prevent the motion being continuous and free from all intermission:
143 VIII, 8 | moment to moment can be continuous: but a motion that is repeatedly
144 VIII, 8 | So, too, there cannot be continuous motion in a semicircle or
145 VIII, 8 | kinds of motion cannot be continuous either: for in all of them
146 VIII, 9 | rotatory motion is single and continuous, and rectilinear motion
147 VIII, 10| rest, and the motion is not continuous but only appears so: for
148 VIII, 10| concerns the appearance of continuous motion in a single thing,
149 VIII, 10| positions that there must be continuous motion in the world of things,
150 VIII, 10| otherwise there will not be continuous motion but a consecutive
151 VIII, 10| series of motions. The only continuous motion, then, is that which
152 VIII, 10| movent: and this motion is continuous because the movent remains
153 VIII, 10| remains also invariable and continuous.~Now that these points are
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