| Robert Potts - 1868 - 434 σελίδες
...greater than a right angle ; but, by the hypothesis, it is less than a right angle ; which is absurd. Therefore the angles ABC, DEF are not unequal, that...equal : and the angle at A is equal to the angle at D : (hyp.) wherefore the remaining angle at C is equal to the remaining angle at F: (I. 32.) therefore... | |
| Euclides - 1874 - 342 σελίδες
...right angle ; but, by the hypothesis, it is less than a right angle ; which is absurd. Therefore 6. The angles ABC, DEF are not unequal, that is, they...equal ; and the angle at A is equal to the angle at D (hyp.) ; wherefore 7. The remaining angle at C is equal to the remaining angle atF(L 32); therefore... | |
| Robert Potts - 1876 - 446 σελίδες
...greater than a right angle ; but, by the hypothesis, it is less than a right angle ; which ia absurd. Therefore the angles ABC, DEF are not unequal, that...equal : and the angle at A is equal to the angle at D : (hyp.) wherefore the remaining angle at C is equal to the remaining angle a F: (I. 32.) therefore... | |
| Isaac Todhunter - 1880 - 426 σελίδες
...acute, by hypothesis; therefore the angle BOCia acute. But BOC was shewn to be obtuse; which is absurd. Therefore the angles ABC, DEF are not unequal; that is, they are equal. Therefore the triangles ABC, DEF are equal in all respects, by I. 4. Next, suppose the angles at O... | |
| Euclid, Isaac Todhunter - 1883 - 428 σελίδες
...angle at F is less than a right angle ; [Hypothesis. which is absurd. Therefore the angles ABC and DEF are not unequal ; that is, they are equal. And the angle at A is equal to the angle at D; [Hypothesis. therefore the remaining angle at C is equal to the remaining angle at F ; EUCLID'S ELEMENTS.... | |
| Euclid - 452 σελίδες
...angle DEF; therefore it is equal to it. But the angle at A is also equal to the angle at D ; therefore the remaining angle at C is equal to the remaining angle at F. [i. 32] Therefore the triangle ABC is equiangularwith the triangle DEF. But, again, let each of the... | |
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