1-500 | 501-1000 | 1001-1186
Book, Paragraph
1 I, 2 | Melissus assert, or (ii) in motion, as the physicists hold,
2 I, 2 | all or some of them, in motion which is indeed made plain
3 II, 1 | within itself a principle of motion and of stationariness (in
4 II, 1 | themselves a principle of motion or change.~Another account
5 II, 1 | in themselves a source of motion. (The combination of the
6 II, 2 | they are separable from motion, and it makes no difference,
7 II, 2 | figure", do not involve motion; not so "flesh" and "bone"
8 II, 3 | other the cause whence the motion comes. Some things cause
9 II, 4 | spontaneously, i.e. the motion that separated and arranged
10 II, 7 | things which do not involve motion, e.g. in mathematics, to
11 II, 7 | 2) to what initiated a motion, e.g. "why did they go to
12 II, 7 | while the primary source of motion is the same in species as
13 II, 7 | physics, for they cause motion not by possessing motion
14 II, 7 | motion not by possessing motion or a source of motion in
15 II, 7 | possessing motion or a source of motion in themselves, but being
16 II, 7 | themselves incapable of motion. Hence there are three branches
17 II, 7 | things which are incapable of motion, the second of things in
18 II, 7 | the second of things in motion, but indestructible, the
19 II, 7 | the principles which cause motion in a physical way are two,
20 II, 7 | as it has no principle of motion in itself. Of this kind
21 III, 1 | defined as a "principle of motion and change", and it is the
22 III, 1 | understand the meaning of "motion"; for if it were unknown,
23 III, 1 | determined the nature of motion, our next task will be to
24 III, 1 | are involved in it. Now motion is supposed to belong to
25 III, 1 | necessary conditions of motion.~Clearly, then, for these
26 III, 1 | begin then, as we said, with motion.~We may start by distinguishing (
27 III, 1 | there is no such thing as motion over and above the things.
28 III, 1 | predicates. Hence neither will motion and change have reference
29 III, 1 | there are as many types of motion or change as there are meanings
30 III, 1 | elucidate this definition of motion. When the buildable, in
31 III, 1 | Hence, too, what effects motion as a physical agent can
32 III, 1 | thing of this kind causes motion, it is itself also moved.
33 III, 1 | possible for a thing to cause motion, though it is itself incapable
34 III, 1 | but as movable, that is motion. What I mean by "as" is
35 III, 1 | bronze as bronze which is motion. For "to be bronze" and "
36 III, 1 | as bronze would have been motion. But they are not the same,
37 III, 1 | potential as potential that is motion. So this, precisely, is
38 III, 1 | So this, precisely, is motion.~Further it is evident that
39 III, 1 | Further it is evident that motion is an attribute of a thing
40 III, 1 | But building is a kind of motion, and the same account will
41 III, 2 | consider the accounts of motion that the others have given,
42 III, 2 | One could not easily put motion and change in another genus-this
43 III, 2 | people put it; they identify motion with or "inequality" or "
44 III, 2 | The reason why they put motion into these genera is that
45 III, 2 | The reason in turn why motion is thought to be indefinite
46 III, 2 | actually of a certain size, and motion is thought to be a sort
47 III, 2 | it is hard to grasp what motion is. It is necessary to class
48 III, 2 | is, which is capable of motion, and whose immobility is
49 III, 2 | rest-when a thing is subject to motion its immobility is rest.
50 III, 2 | on. Hence we can define motion as the fulfilment of the
51 III, 3 | has the power of causing motion; and the actuality of that
52 III, 3 | has the power of causing motion is not other than the actuality
53 III, 3 | thing is capable of causing motion because it can do this,
54 III, 3 | in alternative (b), the motion will be in the mover, for
55 III, 3 | moved, or, though having motion, it will not be moved.~If
56 III, 3 | to the same subject, the motion; for the "actualization
57 III, 3 | in definition.~What then Motion is, has been stated both
58 III, 3 | each of the other kinds of motion.~
59 III, 4 | with spatial magnitudes and motion and time, and each of these
60 IV, 1 | the sphinx?), and because "motion" in its most general and
61 IV, 2 | what has no reference to motion or the distinction of up
62 IV, 2 | indeterminate undergo change and motion along with the thing, and
63 IV, 4 | not been a special kind of motion, namely that with respect
64 IV, 6 | For it is maintained that motion would seem not to exist,
65 IV, 7 | reasons. For the fact of motion in respect of place comes
66 IV, 8 | why a thing once set in motion should stop anywhere; for
67 IV, 10 | usually supposed to be (3) motion and a kind of change, we
68 IV, 11 | before" and "after" in motion is identical in substratum
69 IV, 11 | identical in substratum with motion yet differs from it in definition,
70 IV, 11 | and is not identical with motion.~But we apprehend time only
71 IV, 11 | only when we have marked motion, marking it by "before"
72 IV, 11 | before" and "after" in motion that we say that time has
73 IV, 11 | as before and after in a motion nor as an identity but in
74 IV, 11 | because there has been no motion either. On the other hand,
75 IV, 11 | time is just this-number of motion in respect of "before" and "
76 IV, 11 | kinds of thing.) Just as motion is a perpetual succession,
77 IV, 11 | substratum is an identity: for motion, as was said, goes with
78 IV, 11 | time, as we maintain, with motion. Similarly, then, there
79 IV, 11 | which we are aware of the motion and of the "before and after"
80 IV, 11 | time corresponds to the motion. For it is by means of the
81 IV, 11 | the "before and after" the motion, and if we regard these
82 IV, 11 | knowable: for, similarly, motion is known because of that
83 IV, 11 | the moving body. For the motion or locomotion is made one
84 IV, 12 | time.~Time is a measure of motion and of being moved, and
85 IV, 12 | moved, and it measures the motion by determining a motion
86 IV, 12 | motion by determining a motion which will measure exactly
87 IV, 12 | measure exactly the whole motion, as the cubit does the length
88 IV, 12 | any more than to be in motion or in place means to co-exist
89 IV, 12 | place means to co-exist with motion or place. For if "to be
90 IV, 12 | is, and that which is in motion that there is motion when
91 IV, 12 | in motion that there is motion when it is.~Since what is "
92 IV, 12 | Since time is the measure of motion, it will be the measure
93 IV, 12 | moved, though what is in motion is necessarily moved. For
94 IV, 12 | necessarily moved. For time is not motion, but "number of motion":
95 IV, 12 | not motion, but "number of motion": and what is at rest, also,
96 IV, 12 | can be in the number of motion. Not everything that is
97 IV, 12 | everything that is not in motion can be said to be "at rest"-
98 IV, 12 | for it will measure their motion and rest respectively.~Hence
99 IV, 12 | quantity, but in so far as its motion has quantity. Thus none
100 IV, 12 | while time is the measure of motion and rest.~Plainly, then,
101 IV, 12 | directly the measure of motion and indirectly of other
102 IV, 12 | its existence in rest or motion. Those things therefore
103 IV, 13 | then fail? Surely not, if motion always exists. Is time then
104 IV, 13 | time is, in the same way as motion is. For if one and the same
105 IV, 13 | For if one and the same motion sometimes recurs, it will
106 IV, 14 | said, time is measured by motion as well as motion by time (
107 IV, 14 | measured by motion as well as motion by time (this being so because
108 IV, 14 | this being so because by a motion definite in time the quantity
109 IV, 14 | the quantity both of the motion and of the time is measured):
110 IV, 14 | with it, regular circular motion is above all else the measure,
111 V, 1 | case of a thing which is in motion neither accidentally nor
112 V, 1 | being itself directly in motion. Here we have a thing which
113 V, 1 | the particular variety of motion: for instance it may be
114 V, 1 | mover: (1) one thing causes motion accidentally, (2) another
115 V, 1 | something belonging to it causes motion), (3) another of itself
116 V, 1 | that which directly causes motion, and (b) on the other hand
117 V, 1 | other hand that which is in motion: further, we have (c) that
118 V, 1 | we have (c) that in which motion takes place, namely time,
119 V, 1 | which it proceeds: for every motion proceeds from something
120 V, 1 | that which is directly in motion being distinct from that
121 V, 1 | from that to which it is in motion and that from which it is
122 V, 1 | that from which it is in motion: for instance, we may take
123 V, 1 | first is that which is in motion, the second is that to which
124 V, 1 | second is that to which the motion proceeds, and the third
125 V, 1 | so, it is clear that the motion is in the wood, not in its
126 V, 1 | not in its form: for the motion is neither caused nor experienced
127 V, 1 | a moved, and a goal of motion. I do not include the starting-point
128 V, 1 | include the starting-point of motion: for it is the goal rather
129 V, 1 | than the starting-point of motion that gives its name to a
130 V, 1 | not-being.~Now a definition of motion has been given above, from
131 V, 1 | seen that every goal of motion, whether it be a form, an
132 V, 1 | there may be change to a motion. To this we may reply that
133 V, 1 | but whitening that is a motion. Here also the same distinctions
134 V, 1 | to be observed: a goal of motion may be so accidentally,
135 V, 1 | what sense a thing is in motion essentially, accidentally,
136 V, 1 | it is also clear that the motion is not in the form but in
137 V, 1 | but in that which is in motion, that is to say "the movable
138 V, 1 | senses: and there can be motion neither of that which "is
139 V, 1 | may nevertheless he in motion accidentally (for example
140 V, 1 | cannot in any sense be in motion: therefore it is impossible
141 V, 1 | that which is not to be in motion. This being so, it follows
142 V, 1 | that "becoming" cannot be a motion: for it is that which "is
143 V, 1 | which "is not" can be in motion: and it may be further objected
144 V, 1 | whereas everything which is in motion is in space, that which "
145 V, 1 | too, "perishing" is not a motion: for a motion has for its
146 V, 1 | is not a motion: for a motion has for its contrary either
147 V, 1 | contrary either another motion or rest, whereas "perishing"
148 V, 1 | becoming".~Since, then, every motion is a kind of change, and
149 V, 1 | from subject to subject is motion. And every such subject
150 V, 2 | of Substance there is no motion, because Substance has no
151 V, 2 | things that are. Nor is there motion in respect of Relation:
152 V, 2 | that in these cases the motion is accidental. Nor is there
153 V, 2 | accidental. Nor is there motion in respect of Agent and
154 V, 2 | fact there can never be motion of mover and moved, because
155 V, 2 | because there cannot be motion of motion or becoming of
156 V, 2 | there cannot be motion of motion or becoming of becoming
157 V, 2 | are two senses in which motion of motion is conceivable. (
158 V, 2 | senses in which motion of motion is conceivable. (1) The
159 V, 2 | is conceivable. (1) The motion of which there is motion
160 V, 2 | motion of which there is motion might be conceived as subject;
161 V, 2 | subject; e.g. a man is in motion because he changes from
162 V, 2 | it be that in this sense motion grows hot or cold, or changes
163 V, 2 | subject. Or (2) can there be motion of motion in the sense that
164 V, 2 | can there be motion of motion in the sense that some other
165 V, 2 | opposite, while the other, motion, is a change to a different
166 V, 2 | So, if there is to be motion of motion, that which is
167 V, 2 | there is to be motion of motion, that which is changing
168 V, 2 | capable of any particular motion, it is also capable of the
169 V, 2 | the corresponding contrary motion or the corresponding coming
170 V, 2 | correspondingly becomes motion or becoming? And again what
171 V, 2 | what is the goal of their motion? It must be the motion or
172 V, 2 | their motion? It must be the motion or becoming of something
173 V, 2 | there are three kinds of motion, the substratum and the
174 V, 2 | substratum and the goal of motion must be one or other of
175 V, 2 | of account.~Since, then, motion can belong neither to Being
176 V, 2 | remains that there can be motion only in respect of Quality,
177 V, 2 | have a pair of contraries. Motion in respect of Quality let
178 V, 2 | incapable of being acted on. Motion in respect of Quantity has
179 V, 2 | designated: that is to say motion in the direction of complete
180 V, 2 | complete magnitude is increase, motion in the contrary direction
181 V, 2 | contrary direction is decrease. Motion in respect of Place has
182 V, 2 | is alteration: for it is motion either from a contrary or
183 V, 2 | only these three kinds of motion.~The term "immovable" we
184 V, 2 | designed for and capable of motion, but is not in motion when,
185 V, 2 | of motion, but is not in motion when, where, and as it naturally
186 V, 2 | for rest is contrary to motion, so that rest will be negation
187 V, 2 | rest will be negation of motion in that which is capable
188 V, 2 | is capable of admitting motion.~The foregoing remarks are
189 V, 2 | the essential nature of motion and rest, the number of
190 V, 2 | the different varieties of motion.~
191 V, 3 | the material in which the motion takes place. This is manifestly
192 V, 4 | are many senses in which motion is said to be "one": for
193 V, 4 | term "one" in many senses.~Motion is one generically according
194 V, 4 | generically from locomotion.~Motion is one specifically when
195 V, 4 | species, it is clear that the motion will then in a sense be
196 V, 4 | be raised as to whether a motion is specifically one when
197 V, 4 | particular place: if this motion is specifically one, circular
198 V, 4 | specifically one, circular motion will be the same as rectilinear
199 V, 4 | the same as rectilinear motion, and rolling the same as
200 V, 4 | that if that in which the motion takes place is specifically
201 V, 4 | different from the straight) the motion itself is also different?
202 V, 4 | is meant by saying that motion is one generically or one
203 V, 4 | generically or one specifically.~Motion is one in an unqualified
204 V, 4 | clear what this kind of motion is. There are three classes
205 V, 4 | connexion with which we speak of motion, the "that which", the "
206 V, 4 | he something that is in motion, e.g. a man or gold, and
207 V, 4 | gold, and it must be in motion in something, e.g. a place
208 V, 4 | during something, for all motion takes place during a time.
209 V, 4 | is the thing in which the motion takes place that makes it
210 V, 4 | thing moved that makes the motion one in subject, and it is
211 V, 4 | this, that in which the motion takes place (the species)
212 V, 4 | unintermittent, and that which is in motion must be one-not in an accidental
213 V, 4 | inflammation of the eye, yet this motion is not really one, but only
214 V, 4 | numerically the same, then this motion too will be one: otherwise
215 V, 4 | contain them are obviously in motion and in flux? Thus if a person’
216 V, 4 | present inquiry.~Since every motion is continuous, a motion
217 V, 4 | motion is continuous, a motion that is one in an unqualified
218 V, 4 | sense must (since every motion is divisible) be continuous,
219 V, 4 | continuous, and a continuous motion must be one. There will
220 V, 4 | be continuity between any motion and any other indiscriminately
221 V, 4 | with the end of the other. Motion, therefore, that is in an
222 V, 4 | there is intermission of motion there must be rest, and
223 V, 4 | there must be rest, and a motion that includes intervals
224 V, 4 | one but many, so that a motion that is interrupted by stationariness
225 V, 4 | of time. And though of a motion that is not specifically
226 V, 4 | unintermittent) the time is one, the motion is specifically different,
227 V, 4 | cannot really be one, for motion that is one must be specifically
228 V, 4 | specifically one, though motion that is specifically one
229 V, 4 | what we mean when we call a motion one without qualification.~
230 V, 4 | qualification.~Further, a motion is also said to be one generically,
231 V, 4 | is one: and sometimes a motion even if incomplete is said
232 V, 4 | there is another in which a motion is said to be one, viz.
233 V, 4 | regular: for in a sense a motion that is irregular is not
234 V, 4 | degree. In every kind of motion we may have regularity or
235 V, 4 | difference that makes a motion irregular is sometimes to
236 V, 4 | found in its path: thus a motion cannot be regular if its
237 V, 4 | but in the manner of the motion: for in some cases the motion
238 V, 4 | motion: for in some cases the motion is differentiated by quickness
239 V, 4 | its velocity is uniform a motion is regular, if not it is
240 V, 4 | slowness are not species of motion nor do they constitute specific
241 V, 4 | specific differences of motion, because this distinction
242 V, 4 | the distinct species of motion. The same is true of heaviness
243 V, 4 | fire from itself. Irregular motion, therefore, while in virtue
244 V, 4 | contrary. And since every motion that is one can be both
245 V, 4 | continuous: for how should a motion composed of alteration and
246 V, 4 | locomotion be regular? If a motion is to be regular its parts
247 V, 5 | to the same thing, e.g. a motion from health and a motion
248 V, 5 | motion from health and a motion to health (where the opposition,
249 V, 5 | from contraries, e.g. a motion from health and a motion
250 V, 5 | motion from health and a motion from disease; or motions
251 V, 5 | respectively to contraries, e.g. a motion to health and a motion to
252 V, 5 | a motion to health and a motion to disease; or motions respectively
253 V, 5 | opposite contrary, e.g. a motion from health and a motion
254 V, 5 | motion from health and a motion to disease; or motions respectively
255 V, 5 | latter to the former, e.g. a motion from health to disease and
256 V, 5 | health to disease and a motion from disease to health:
257 V, 5 | opposite contrary, e.g. a motion from health and a motion
258 V, 5 | motion from health and a motion to disease, are not contrary
259 V, 5 | changing to disease.) Nor are motion respectively from a contrary
260 V, 5 | contrary motions, for a motion from a contrary is at the
261 V, 5 | contrary is at the same time a motion to a contrary or to an intermediate (
262 V, 5 | Moreover, each several motion takes its name rather from
263 V, 5 | starting-point of change, e.g. motion to health we call convalescence,
264 V, 5 | health we call convalescence, motion to disease sickening. Thus
265 V, 5 | then change differs from motion (motion being change from
266 V, 5 | change differs from motion (motion being change from a particular
267 V, 5 | latter to the former, e.g. a motion from health to disease and
268 V, 5 | health to disease and a motion from disease to health.
269 V, 5 | specified, is a change but not a motion. And in all cases of a thing
270 V, 5 | for the purposes of the motion, in whichever direction
271 V, 5 | change may be, e.g. grey in a motion from grey to white takes
272 V, 5 | as starting-point, in a motion from white to grey it takes
273 V, 5 | black as goal, and in a motion from black to grey it takes
274 V, 5 | other only when one is a motion from a contrary to the opposite
275 V, 5 | contrary and the other is a motion from the latter to the former.~
276 V, 6 | 6~But since a motion appears to have contrary
277 V, 6 | contrary to it not only another motion but also a state of rest,
278 V, 6 | determine how this is so. A motion has for its contrary in
279 V, 6 | sense of the term another motion, but it also has for an
280 V, 6 | rest is the privation of motion and the privation of anything
281 V, 6 | called its contrary), and motion of one kind has for its
282 V, 6 | of that kind, e.g. local motion has local rest. This statement,
283 V, 6 | remaining at a particular place motion from or motion to that place?
284 V, 6 | particular place motion from or motion to that place? It is surely
285 V, 6 | two subjects between which motion takes place, motion from
286 V, 6 | which motion takes place, motion from one of these (A) to
287 V, 6 | remaining in A while the reverse motion has for its opposite remaining
288 V, 6 | in disease, and (2) the motion to which it is contrary
289 V, 6 | absurd that its contrary motion should be that from disease
290 V, 6 | disease to health, since motion to that in which a thing
291 V, 6 | simultaneously with the motion; and one of these two motions
292 V, 6 | change to being), but no motion. So, too, of such things
293 V, 6 | of rest is contrary to a motion or else coming to be and
294 V, 6 | be and ceasing to be are motion. It is clear then that,
295 V, 6 | described above, e.g. upward motion and rest above are respectively
296 V, 6 | respectively contrary to downward motion and rest below, these being
297 V, 6 | unnaturally: and its natural motion is certainly contrary to
298 V, 6 | contrary to its unnatural motion. Similarly with remaining:
299 V, 6 | remaining above is contrary to motion from above downwards, and
300 V, 6 | comes unnaturally, this motion naturally. So the unnatural
301 V, 6 | contrary to its natural motion, just as we find a similar
302 V, 6 | similar contrariety in the motion of the same thing: one of
303 V, 6 | particular place is contrary to motion from that place. For when
304 V, 6 | is itself contrary to the motion from the state of rest to
305 V, 6 | the contraries rest and motion will be simultaneously predicable
306 V, 6 | whenever a thing is in motion, part of it is at the starting-point
307 V, 6 | changing: and consequently a motion finds its true contrary
308 V, 6 | contrary rather in another motion than in a state of rest.~
309 V, 6 | of rest.~With regard to motion and rest, then, we have
310 V, 6 | just as there is unnatural motion, so, too, a thing may be
311 V, 6 | natural and an unnatural motion, e.g. fire has a natural
312 V, 6 | fire has a natural upward motion and an unnatural downward
313 V, 6 | and an unnatural downward motion: is it, then, this unnatural
314 V, 6 | this unnatural downward motion or is it the natural downward
315 V, 6 | it the natural downward motion of earth that is contrary
316 V, 6 | contrary to the natural upward motion? Surely it is clear that
317 V, 6 | same sense: the natural motion of earth is contrary inasmuch
318 V, 6 | contrary inasmuch as the motion of fire is also natural,
319 V, 6 | natural, whereas the upward motion of fire as being natural
320 V, 6 | contrary to the downward motion of fire as being unnatural.
321 V, 6 | which a state of rest and a motion are opposites.]~ ~
322 VI, 1 | magnitude, to time, and to motion: either all of these are
323 VI, 1 | composed of indivisibles, the motion over that magnitude must
324 VI, 1 | corresponding part of the motion DEZ of O over ABG is indivisible.
325 VI, 1 | Therefore, since where there is motion there must be something
326 VI, 1 | be something that is in motion, and where there is something
327 VI, 1 | where there is something in motion there must be motion, therefore
328 VI, 1 | in motion there must be motion, therefore the being-moved
329 VI, 1 | So O traversed A when its motion was D, B when its motion
330 VI, 1 | motion was D, B when its motion was E, and G similarly when
331 VI, 1 | and G similarly when its motion was Z. Now a thing that
332 VI, 1 | Now a thing that is in motion from one place to another
333 VI, 1 | the moment when it was in motion both be in motion and at
334 VI, 1 | was in motion both be in motion and at the same time have
335 VI, 1 | time have completed its motion at the place to which it
336 VI, 1 | place to which it was in motion: e.g. if a man is walking
337 VI, 1 | virtue of the presence of the motion D. Consequently, if O actually
338 VI, 1 | of passing through, the motion must be divisible: for at
339 VI, 1 | will have completed its motion at the place to which it
340 VI, 1 | place to which it is in motion. And if a thing is in motion
341 VI, 1 | motion. And if a thing is in motion over the whole KBG and its
342 VI, 1 | over the whole KBG and its motion is the three D, E, and Z,
343 VI, 1 | and Z, and if it is not in motion at all over the partless
344 VI, 1 | A but has completed its motion over it, then the motion
345 VI, 1 | motion over it, then the motion will consist not of motions
346 VI, 1 | thing’s having completed a motion without being in motion:
347 VI, 1 | motion without being in motion: for on this assumption
348 VI, 1 | be either at rest or in motion, and O is therefore at rest
349 VI, 1 | and at the same time in motion: for, as we saw, O is in
350 VI, 1 | for, as we saw, O is in motion over the whole ABG and at
351 VI, 1 | of the presence in it of motion to be not in motion but
352 VI, 1 | it of motion to be not in motion but at rest, while if they
353 VI, 1 | it would be possible for motion to be composed of something
354 VI, 1 | motions.~And if length and motion are thus indivisible, it
355 VI, 2 | slower. Again, since the motion of anything must always
356 VI, 2 | a thing is slower if its motion occupies more time and of
357 VI, 2 | of equal velocity if its motion occupies an equal time,
358 VI, 2 | slower, it follows that the motion of the quicker can occupy
359 VI, 2 | slower.~And since every motion is in time and a motion
360 VI, 2 | motion is in time and a motion may occupy any time, and
361 VI, 2 | occupy any time, and the motion of everything that is in
362 VI, 2 | of everything that is in motion may be either quicker or
363 VI, 2 | or slower, both quicker motion and slower motion may occupy
364 VI, 2 | quicker motion and slower motion may occupy any time: and
365 VI, 2 | this period the thing in motion will pass over a certain
366 VI, 3 | show that nothing can be in motion in a present. For if this
367 VI, 3 | both quicker and slower motion in the present. Suppose
368 VI, 3 | therefore, for anything to be in motion in a present.~Nor can anything
369 VI, 3 | naturally designed to be in motion but is not in motion when,
370 VI, 3 | in motion but is not in motion when, where, or as it would
371 VI, 3 | naturally designed to be in motion in a present, it is clear
372 VI, 3 | possible for a thing to be in motion throughout one time and
373 VI, 3 | other, and that which is in motion or at rest for the whole
374 VI, 3 | whole of a time will be in motion or at rest as the case may
375 VI, 3 | naturally designed to be in motion or at rest: this being so,
376 VI, 3 | assumption that there can be motion or rest in a present will
377 VI, 3 | same time be at rest and in motion: for both the times have
378 VI, 3 | It follows then that the motion of that which is in motion
379 VI, 3 | motion of that which is in motion and the rest of that which
380 VI, 4 | changes must be divisible.~Now motion is divisible in two senses.
381 VI, 4 | parts of that which is in motion: e.g. if the whole AG is
382 VI, 4 | e.g. if the whole AG is in motion, there will be a motion
383 VI, 4 | motion, there will be a motion of AB and a motion of BG.
384 VI, 4 | be a motion of AB and a motion of BG. That being so, let
385 VI, 4 | being so, let DE be the motion of the part AB and EZ the
386 VI, 4 | of the part AB and EZ the motion of the part BG. Then the
387 VI, 4 | the whole DZ must be the motion of AG: for DZ must constitute
388 VI, 4 | for DZ must constitute the motion of AG inasmuch as DE and
389 VI, 4 | each of its parts. But the motion of a thing can never be
390 VI, 4 | never be constituted by the motion of something else: consequently
391 VI, 4 | consequently the whole motion is the motion of the whole
392 VI, 4 | the whole motion is the motion of the whole magnitude.~
393 VI, 4 | magnitude.~Again, since every motion is a motion of something,
394 VI, 4 | since every motion is a motion of something, and the whole
395 VI, 4 | something, and the whole motion DZ is not the motion of
396 VI, 4 | whole motion DZ is not the motion of either of the parts (
397 VI, 4 | the parts DE, EZ is the motion of one of the parts AB,
398 VI, 4 | anything else (for, the whole motion being the motion of a whole,
399 VI, 4 | the whole motion being the motion of a whole, the parts of
400 VI, 4 | whole, the parts of the motion are the motions of the parts
401 VI, 4 | else: for, as we saw, a motion that is one cannot be the
402 VI, 4 | that is one cannot be the motion of more things than one):
403 VI, 4 | since this is so, the whole motion will be the motion of the
404 VI, 4 | whole motion will be the motion of the magnitude ABG.~Again,
405 VI, 4 | ABG.~Again, if there is a motion of the whole other than
406 VI, 4 | EZ respectively: for the motion of that which is one must
407 VI, 4 | be one. So if the whole motion OI may be divided into the
408 VI, 4 | say KI, this will be a motion of nothing: for it can be
409 VI, 4 | nothing: for it can be the motion neither of the whole nor
410 VI, 4 | nor of the parts (as the motion of that which is one must
411 VI, 4 | of anything else: for a motion that is continuous must
412 VI, 4 | is continuous must be the motion of things that are continuous.
413 VI, 4 | is impossible, the whole motion must be the same as and
414 VI, 4 | meant by the division of motion according to the motions
415 VI, 4 | is divisible into parts.~Motion is also susceptible of another
416 VI, 4 | according to time. For since all motion is in time and all time
417 VI, 4 | divisible, and in less time the motion is less, it follows that
418 VI, 4 | less, it follows that every motion must be divisible according
419 VI, 4 | since everything that is in motion is in motion in a certain
420 VI, 4 | that is in motion is in motion in a certain sphere and
421 VI, 4 | a certain time and has a motion belonging to it, it follows
422 VI, 4 | follows that the time, the motion, the being-in-motion, the
423 VI, 4 | being-in-motion, the thing that is in motion, and the sphere of the motion
424 VI, 4 | motion, and the sphere of the motion must all be susceptible
425 VI, 4 | divisions (though spheres of motion are not all divisible in
426 VI, 4 | the time occupied by the motion B. Then if all the time
427 VI, 4 | been occupied by the whole motion, it will take less of the
428 VI, 4 | it will take less of the motion to occupy half the time,
429 VI, 4 | divisible similarly to the motion: for if the whole motion
430 VI, 4 | motion: for if the whole motion occupies all the time half
431 VI, 4 | occupies all the time half the motion will occupy half the time,
432 VI, 4 | the time, and less of the motion again will occupy less of
433 VI, 4 | corresponds to half the motion will be less than the whole
434 VI, 4 | corresponds to a quarter of the motion will be less again, and
435 VI, 4 | correspond to the whole motion (for if it were some other
436 VI, 4 | corresponded to the whole motion, there would be more than
437 VI, 4 | be more than one being-in motion corresponding to the same
438 VI, 4 | corresponding to the same motion), the argument being the
439 VI, 4 | whereby we showed that the motion of a thing is divisible
440 VI, 4 | separately the being-in motion corresponding to each of
441 VI, 4 | that the whole being-in motion is continuous.~The same
442 VI, 5 | that only in qualitative motion can there be anything essentially
443 VI, 6 | in which that which is in motion is in motion: and (as all
444 VI, 6 | which is in motion is in motion: and (as all time is divisible)
445 VI, 6 | time ChK it either is in motion or is not in motion, and
446 VI, 6 | is in motion or is not in motion, and the same is likewise
447 VI, 6 | time KRh. Then if it is in motion in neither of the two parts,
448 VI, 6 | impossible that it should be in motion in a time in no part of
449 VI, 6 | no part of which it is in motion. If on the other hand it
450 VI, 6 | the other hand it is in motion in only one of the two parts
451 VI, 6 | primary time in which it is in motion: for its motion will have
452 VI, 6 | it is in motion: for its motion will have reference to a
453 VI, 6 | must, then, have been in motion in any part of ChRh.~And
454 VI, 6 | that everything that is in motion must have been in motion
455 VI, 6 | motion must have been in motion before. For if that which
456 VI, 6 | For if that which is in motion has traversed the distance
457 VI, 6 | time a thing that is in motion with equal velocity and
458 VI, 6 | equal velocity and began its motion at the same time will have
459 VI, 6 | original thing that is in motion must have traversed the
460 VI, 6 | Hence that which is in motion must have been in motion
461 VI, 6 | motion must have been in motion before.~Again, if by taking
462 VI, 6 | are enabled to say that motion has taken place in the whole
463 VI, 6 | fact in any period of it, motion may likewise be said to
464 VI, 6 | point of division. Therefore motion will have taken place in
465 VI, 7 | 7~Now since the motion of everything that is in
466 VI, 7 | of everything that is in motion occupies a period of time,
467 VI, 7 | should undergo a finite motion in an infinite time, if
468 VI, 7 | to mean not that the same motion or a part of it is continually
469 VI, 7 | occupied by the whole finite motion. In all cases where a thing
470 VI, 7 | cases where a thing is in motion with uniform velocity it
471 VI, 7 | if we take a part of the motion which shall be a measure
472 VI, 7 | of the whole, the whole motion is completed in as many
473 VI, 7 | as there are parts of the motion. Consequently, since these
474 VI, 7 | a different part of the motion will always be completed
475 VI, 7 | it, whether the thing in motion changes with uniform velocity
476 VI, 7 | and whether the rate of motion increases or diminishes
477 VI, 7 | of the whole stretch of motion AB which shall be a measure
478 VI, 7 | AB. Now this part of the motion occupies a certain period
479 VI, 7 | hand the finite stretch of motion AB is a certain multiple
480 VI, 7 | of AE: consequently the motion AB must be accomplished
481 VI, 7 | with coming to rest as with motion. And so it is impossible
482 VI, 7 | be an infinite extent of motion or of coming to rest, whether
483 VI, 7 | coming to rest, whether the motion is regular or irregular.
484 VI, 7 | the two is the thing in motion; either case involves the
485 VI, 7 | infinite magnitude A is in motion a part of it, say GD, will
486 VI, 7 | infinite will have completed a motion over the finite and the
487 VI, 7 | to be impossible for the motion of the infinite over the
488 VI, 7 | there cannot be infinite motion: for what difference does
489 VI, 7 | make whether we take the motion or the magnitude to be infinite?
490 VI, 8 | Since everything to which motion or rest is natural is in
491 VI, 8 | or rest is natural is in motion or at rest in the natural
492 VI, 8 | coming to a stand, must be in motion: for if it is not in motion
493 VI, 8 | motion: for if it is not in motion it must be at rest: but
494 VI, 8 | period of time: for the motion of that which is in motion
495 VI, 8 | motion of that which is in motion occupies a period of time,
496 VI, 8 | has been shown to be in motion: consequently coming to
497 VI, 8 | used above about things in motion.~And just as there is no
498 VI, 8 | in which that which is in motion is in motion, so too there
499 VI, 8 | which is in motion is in motion, so too there is no primary
500 VI, 8 | stage either of being in motion or of coming to a stand.
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