Book, Paragraph
1 I, 2 | more than one), then either two or three or four or some
2 I, 2 | substance and quantity, it is two, not one: if only substance,
3 I, 2 | Further, if each of the two parts is indivisibly one
4 I, 3 | substance. For each of the two parts must he in a different
5 I, 4 | physicists on the other hand have two modes of explanation.~The
6 I, 6 | whether the principles are two or three or more in number.~
7 I, 6 | to suppose them more than two. For it is difficult to
8 I, 6 | early thinkers made the two the active and the one the
9 I, 6 | contraries, there will be two contrarieties, and we shall
10 I, 6 | the contrarieties, being two, can generate from each
11 I, 6 | neither one nor more than two or three; but whether two
12 I, 6 | two or three; but whether two or three is, as I said,
13 I, 7 | does the compound of the two, namely "unmusical man".~
14 I, 7 | becomes that-the latter (b) in two senses, either the subject
15 I, 7 | numerically, though it is two in form. (For it is the
16 I, 7 | declare the principles to be two, and a sense in which they
17 I, 7 | contraries, but as it were two, nor yet precisely two,
18 I, 7 | were two, nor yet precisely two, since there is a difference
19 I, 7 | that the contraries must be two. (Yet in another way of
20 I, 7 | In what sense these are two, and in what sense more,
21 I, 8 | expressions may be taken in two senses, and so too, clearly,
22 I, 9 | we hold that there are two other principles, the one
23 II, 1 | earth or of a mixture of the two, they do have such an impulse,
24 II, 1 | The combination of the two, e.g. man, is not "nature"
25 II, 1 | should be added, are in two senses. For the privation
26 II, 2 | to state in each of the two cases the definitions of
27 II, 2 | mathematical.~Since "nature" has two senses, the form and the
28 II, 2 | difficulty. Since there are two natures, with which is the
29 II, 2 | investigate the combination of the two? But if the combination
30 II, 2 | if the combination of the two, then also each severally.
31 II, 2 | for the sake of which" has two senses: the distinction
32 II, 2 | matter and have knowledge are two, namely the art which uses
33 II, 5 | distinction between the two must be made later-for the
34 II, 7 | motion in a physical way are two, of which one is not physical,
35 II, 8 | And since "nature" means two things, the matter and the
36 II, 9 | a triangle should equal two right angles. But not conversely;
37 II, 9 | angles are not equal to two right angles, then the straight
38 II, 9 | triangle are not equal to two right angles.~The necessary
39 III, 1 | its subjects in either of two ways: namely (1) substance-the
40 III, 3 | both alike, just as one to two and two to one are the same
41 III, 3 | just as one to two and two to one are the same interval,
42 III, 3 | the word would be used in two senses.)~Now, in alternative (
43 III, 3 | learning, though they are two, in the learner), then,
44 III, 3 | absurdity, a thing will have two motions at the same time.
45 III, 3 | time. How will there be two alterations of quality in
46 III, 3 | identical actualization of two things which are different
47 III, 3 | There is nothing to prevent two things having one and the
48 III, 3 | is one distance between two things which are at a distance
49 III, 3 | from each other, that the two vectors AB and BA, are one
50 III, 4 | the same. But Plato has two infinites, the Great and
51 III, 5 | the abode of each of the two was plainly determinate,
52 III, 5 | particular quantity, e,g, two or three cubits; quantity
53 III, 6 | also made the infinites two in number, because it is
54 III, 6 | though he makes the infinites two, he does not use them. For
55 III, 6 | whole is not like joining two pieces of string; for it
56 III, 7 | at the indivisible: for "two" and "three" are merely
57 III, 8 | necessarily possible between any two things taken at random.~(
58 IV, 1 | if it were there would be two bodies in the same place.~(
59 IV, 2 | indeed it is one of these two things, matter or form.
60 IV, 3 | impossible. For each of two things will have to be both,
61 IV, 3 | itself even incidentally: for two things would at the same
62 IV, 4 | kind of change there are two species-locomotion on the
63 IV, 4 | all the portions of the two together will play the same
64 IV, 5 | have a place,~(3) Nor that two bodies should be in the
65 IV, 6 | it could, and there were two bodies in the same place,
66 IV, 6 | and it is impossible for two bodies to be together. A
67 IV, 7 | of body, or there may be two bodies in the same place (
68 IV, 8 | faster than another for two reasons, either because
69 IV, 8 | obvious, viz. that between any two movements there is a ratio (
70 IV, 8 | there is a ratio between any two times, so long as both are
71 IV, 8 | it? And if there can be two such things, why cannot
72 IV, 9 | comes to be each of the two.~For as the same matter
73 IV, 9 | dense and rare, and the two qualities have one matter.~
74 IV, 9 | same matter.] There are two types in each case, both
75 IV, 11 | pronounces that the "nows" are two, one before and one after,
76 IV, 11 | we must note, is used in two senses-both of what is counted
77 IV, 11 | using the one point as two, a pause is necessary, if
78 IV, 11 | use the middle point as two, so that on that analogy
79 IV, 11 | parts of the line-for it is two lines that are parts of
80 IV, 12 | of the word "number", is two. But of number as concrete,
81 IV, 12 | respect of multiplicity is two (or, if you like, one),
82 IV, 12 | number the minimum is one (or two); in point of extent there
83 IV, 12 | To be in time" is one of two things: (1) to exist when
84 IV, 13 | relation to the first of the two types of "now", e.g. "at
85 IV, 13 | and in the same respect two opposites. And time will
86 IV, 14 | a number of each of the two movements. Is there another
87 IV, 14 | then, and will there be two equal times at once? Surely
88 IV, 14 | alteration; still the time of the two changes is the same if their
89 IV, 14 | is the same number if the two numbers are equal, but not
90 IV, 14 | Therefore the number of two groups also-is the same
91 V, 1 | as contrary to either of two contraries: for the intermediate
92 V, 2 | the first place there are two senses in which motion of
93 V, 3 | is not "in succession" to two, nor is the first day of
94 V, 3 | if these extremities are two. This definition makes it
95 V, 3 | it is impossible for the two to be identical: for points
96 V, 3 | between the numbers one and two.~We have now defined what
97 V, 4 | there might be a case of two men being restored to health
98 V, 4 | that if the states are two then it follows simply from
99 V, 4 | also in point of number be two (for only that which is
100 V, 4 | than there is between any two things chosen at random
101 V, 4 | when the extremities of the two things are one. Now some
102 V, 4 | only when the ends of the two things are one. Hence motions
103 V, 5 | above. Thus we see that two motions are contrary to
104 V, 6 | clear that since there are two subjects between which motion
105 V, 6 | At the same time these two are also contrary to each
106 V, 6 | motion; and one of these two motions it must be. And (
107 V, 6 | i.e. the locomotions of the two are contrary to each other.
108 VI, 1 | For the extremities of two points can neither be one (
109 VI, 2 | follows that the quicker of two things traverses a greater
110 VI, 2 | quicker than B. Now since of two things that which changes
111 VI, 2 | finite time. For there are two senses in which length and
112 VI, 2 | that of the slower into the two indivisibles EZ, ZH. Then
113 VI, 2 | be similarly divided into two. Thus the indivisible will
114 VI, 3 | that belongs to each of the two times. But if this is so
115 VI, 4 | Now motion is divisible in two senses. In the first place
116 VI, 4 | corresponding to each of the two motions DG (say) and GE,
117 VI, 4 | corresponding to each of the two motions, we shall see that
118 VI, 5 | like relation between the two in each case.~One kind of
119 VI, 5 | indivisible.~But there are two senses of the expression "
120 VI, 5 | changed in neither of the two parts into which AD is divided,
121 VI, 5 | has changed in one of the two parts, the whole is not
122 VI, 5 | taken to be indivisible, two things without parts will
123 VI, 6 | changes time, and that in two senses: for the time in
124 VI, 6 | motion in neither of the two parts, it will be at rest
125 VI, 6 | motion in only one of the two parts of the time, ChRh
126 VI, 6 | intermediate between the two: for, as we saw, moments
127 VI, 6 | Then if GD is indivisible, two things without parts will
128 VI, 6 | reason of this is that no two things without parts can
129 VI, 7 | difference which of the two is the thing in motion;
130 VI, 7 | on to infinity. Thus the two results will coincide: the
131 VI, 7 | infinite? If either of the two is infinite, the other must
132 VI, 8 | to a stand in neither of two parts into which the time
133 VI, 8 | stand in only one of the two parts of the time, the whole
134 VI, 8 | not one point only but two at least being thus needed
135 VI, 9 | prescribed. These then are two of his arguments.~The third
136 VI, 9 | argument is that concerning the two rows of bodies, each row
137 VI, 9 | first G, since each of the two occupies an equal time in
138 VI, 9 | necessity be in one of the two opposites, it is never wholly
139 VI, 10 | be partly in each of the two: for then it would be divisible
140 VI, 10 | in a moment: for in the two questions-that of motion
141 VII, 2 | varieties of these last two, e.g. packing and combing:
142 VII, 2 | separate from one another the two things that are continuous:
143 VII, 2 | decrease respectively: and if two things are continuous with
144 VII, 3 | fact in neither of these two classes of things is there
145 VII, 4 | all commensurable and if two things to have the same
146 VII, 4 | motion is accomplished by two things in an equal time
147 VII, 4 | that the velocities of the two are equal? Now an affection
148 VII, 4 | so it is possible for the two to be equal. For if in the
149 VII, 4 | None the less, if the two motions are commensurable,
150 VII, 4 | each case the proportion of two to one), yet water and air
151 VII, 4 | one" is equivocal, so is "two". Otherwise why is it that
152 VII, 4 | of the attribute in the two cases is really one and
153 VII, 4 | the incommensurability of two things in respect of any
154 VII, 4 | attribute is different in the two cases. It would seem, however
155 VII, 4 | Must we then say that, if two things are to be commensurable
156 VII, 4 | Similarly in the case of motion: two things are of the same velocity
157 VII, 4 | of this we must say that two things are of equal velocity
158 VII, 4 | affection is different in the two cases, e.g. when the alterations
159 VII, 4 | whether, supposing that two alterations are of equal
160 VII, 4 | time there are produced two things that are the same
161 VII, 4 | specifically inseparable, e.g. two men (not merely generically
162 VII, 4 | generically inseparable as e.g. two animals). Similarly one
163 VII, 4 | product is different in the two cases. I state it thus because
164 VII, 5 | on the other hand we have two forces each of which separately
165 VII, 5 | separately moves one of two weights a given distance
166 VIII, 1 | must come about in one of two ways: either in the manner
167 VIII, 1 | others can produce either of two contrary motions: thus fire
168 VIII, 1 | knowledge may be directed to two contrary ends while remaining
169 VIII, 1 | predominance of each of the two forces lasts for an equal
170 VIII, 1 | has its angles equal to two right angles, but there
171 VIII, 3 | which comes between the two has to be included. The
172 VIII, 5 | come about in either of two ways. Either the movent
173 VIII, 5 | locally, in which case the two things must up to a certain
174 VIII, 5 | must be in motion in one of two ways: it is moved either
175 VIII, 5 | to consider which of the two, that which moves itself
176 VIII, 5 | the sense that each of the two parts is moved by the other
177 VIII, 5 | first place, if each of the two parts is to move the other,
178 VIII, 5 | we found that there are two kinds of movent, that which
179 VIII, 5 | else: and each of these two things, or at any rate one
180 VIII, 5 | nothing to prevent each of the two parts, or at any rate one
181 VIII, 6 | that fluctuate between the two and have the capacity of
182 VIII, 6 | nature of each of the other two kinds and show that there
183 VIII, 7 | the impossibility of the two processes being present
184 VIII, 8 | rectilinear or a compound of the two: consequently, if one of
185 VIII, 8 | consequently, if one of the former two is not continuous, that
186 VIII, 8 | straight line undergoes two contrary locomotions, since,
187 VIII, 8 | stands severally to the other two is both a starting-point
188 VIII, 8 | numerically one is theoretically two. We have further the distinction
189 VIII, 8 | points lying between the two extremes is potentially
190 VIII, 8 | to be there, so that the two things must have happened
191 VIII, 8 | at B, because it makes it two just as one might do in
192 VIII, 8 | ceasing to be there, and the two events will not be simultaneous,
193 VIII, 8 | one point thus serving as two: therefore H must have come
194 VIII, 8 | it stands in these same two respective relations to
195 VIII, 8 | respective relations to the two motions. Therefore that
196 VIII, 8 | continuous distance into two halves one point is treated
197 VIII, 8 | one point is treated as two, since we make it a starting-point
198 VIII, 8 | point must be reckoned as two: it will be the finishing-point
199 VIII, 8 | continuous whole but the two halves. Therefore to the
200 VIII, 8 | simultaneously undergoing two contrary motions, since
201 VIII, 8 | contrary motions, since the two motions that follow the
202 VIII, 8 | motion; then, inasmuch as the two motions that follow the
203 VIII, 8 | to undergo simultaneously two contrary motions, that which
204 VIII, 8 | yet will not be undergoing two contrary or opposite motions:
205 VIII, 8 | respect of place, as e.g. the two motions along the diameter
206 VIII, 8 | to undergo simultaneously two opposite motions. So, too,
207 VIII, 8 | traversed repeatedly and two contrary processes of change
208 VIII, 9 | rectilinear or a compound of the two: and the two former must
209 VIII, 9 | compound of the two: and the two former must be prior to
210 VIII, 9 | composite motion, in fact two motions, while if it does
211 VIII, 10| or partly-that is to say two of them or one of them-finite
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