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| Alphabetical [« »] analytics 1 and 834 angle 11 angles 57 animal 50 animal-and 1 animal-biped-terrestrial 1 | Frequency [« »] 59 our 59 premiss 58 proof 57 angles 56 more 56 science 55 syllogism | Aristotle Posterior Analytics IntraText - Concordances angles |
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1 I, 1 | knew beforehand that the angles of every triangle are equal 2 I, 1 | triangle are equal to two right angles; but it was only at the 3 I, 1 | without qualification that its angles were equal to two right 4 I, 1 | were equal to two right angles? No: clearly he knows not 5 I, 4 | triangle as such has two right angles, for it is essentially equal 6 I, 4 | essentially equal to two right angles.~An attribute belongs commensurately 7 I, 4 | 1) the equality of its angles to two right angles is not 8 I, 4 | its angles to two right angles is not a commensurately 9 I, 4 | show that a figure has its angles equal to two right angles, 10 I, 4 | angles equal to two right angles, this attribute cannot be 11 I, 4 | square is a figure but its angles are not equal to two right 12 I, 4 | are not equal to two right angles. On the other hand, any 13 I, 4 | isosceles triangle has its angles equal to two right angles, 14 I, 4 | angles equal to two right angles, yet isosceles triangle 15 I, 4 | can be shown to have its angles equal to two right angles, 16 I, 4 | angles equal to two right angles, or to possess any other 17 I, 4 | is equality to two right angles a commensurately universal 18 I, 5 | parallelism depends not on these angles being equal to one another 19 I, 5 | would be thought to have its angles equal to two right angles 20 I, 5 | angles equal to two right angles qua isosceles. An instance 21 I, 5 | kind of triangle that its angles are equal to two right angles, 22 I, 5 | angles are equal to two right angles, whether by means of the 23 I, 5 | sophistically, that triangle has its angles equal to two right angles, 24 I, 5 | angles equal to two right angles, nor does one yet know that 25 I, 5 | differentiae proceeds. Thus the angles of a brazen isosceles triangle 26 I, 5 | triangle are equal to two right angles: but eliminate brazen and 27 I, 9 | the property of possessing angles equal to two right angles 28 I, 9 | angles equal to two right angles as belonging to that subject 29 I, 23| attribute of having their angles equal to two right angles 30 I, 23| angles equal to two right angles in virtue of a common middle; 31 I, 24| If equality to two right angles is attributable to its subject 32 I, 24| since equality to two right angles belongs to all triangles, 33 I, 24| isosceles which has its angles so related. It follows that 34 I, 24| when we learn that exterior angles are equal to four right 35 I, 24| are equal to four right angles because they are the exterior 36 I, 24| because they are the exterior angles of an isosceles, there still 37 I, 24| example, if one knows that the angles of all triangles are equal 38 I, 24| triangles are equal to two right angles, one knows in a sense-potentially-that 39 I, 24| sense-potentially-that the isosceles’ angles also are equal to two right 40 I, 24| also are equal to two right angles, even if one does not know 41 I, 31| that a triangle has its angles equal to two right angles, 42 I, 31| angles equal to two right angles, we should still be looking 43 II, 2 | attribute such as equal to right angles, or greater or less.~ 44 II, 3 | every triangle has its angles equal to two right angles". 45 II, 3 | angles equal to two right angles". An argument proving this 46 II, 3 | have been proved to possess angles equal to two right angles, 47 II, 3 | angles equal to two right angles, then this attribute has 48 II, 8 | necessitates: does it make the angles of a triangle equal or not 49 II, 8 | or not equal to two right angles? When we have found the 50 II, 11| B the half of two right angles, C the angle in a semicircle. 51 II, 11| for C is half of two right angles. Therefore it is the assumption 52 II, 11| B, the half of two right angles, from which it follows that 53 II, 17| sides and equality of the angles, in the case of colours 54 II, 17| the possession of external angles equal to four right angles 55 II, 17| angles equal to four right angles is an attribute wider than 56 II, 17| all figures whose external angles are equal to four right 57 II, 17| are equal to four right angles). And the middle likewise