 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...to the angle at F; therefore the angle at F is greater than a right angle ; but, by the hypothesis, it is less than a right angle ; which is absurd. Therefore the angles ABC, DEF me not unequal, that is, they are equal : and the angle at A is equal to the angle at D : (hyp.) wherefore... | |
 | Euclides - 1860 - 288 pages
...to the angle at F ; therefore the angle at F is greater than a right angle ; but, by the hypothesis, it is less than a right angle, 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;... | |
 | Euclides - 1864 - 448 pages
...to the angle at F; therefore the angle at .Pis greater than a right angle; but, by the hypothesis, it is less than a right angle ; which is absurd. Therefore...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 - 1865 - 402 pages
...right angle. But, by the hypothesis, it is less than a right angle; which is absurd ; therefore thc angles ABC, DEF, are not unequal, that is, they are...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; (L 32.) therefore... | |
 | Robert Potts - 1865 - 528 pages
...to the angle at F; therefore the angle at Fis greater than a right angle; Tbut, by the hypothesis, it is less than a right angle ; which is absurd. Therefore the angles ABC, DEF ax& not unequal, that is, they are equal : and the angle at A is equal to the angle at D : (hyp.) wherefore... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...angle BCG is acute, by hypothesis; therefore the angle BGC is acute. But BGC was shewn to be obtuse; which is absurd. Therefore the angles ABC, DEF are not unequal ; that is, they are equal. Therefore the triangles A BC, DEF are equal in all respects, by I. 4. Next, suppose the angles at C... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...ia acute, by hypothesis; therefore the angle BGC is acute. But BGC was shewn to be obtuse j which ia absurd. Therefore the angles ABC DEF are not unequal ; that is, they are equal. Therefore the triangles A BC, DEF are equal in all respects, by I. 4. ° Next, suppose the angles at... | |
 | Robert Potts - 1868 - 434 pages
...to the angle at F; therefore the angle at F is greater than a right angle ; but, by the hypothesis, it is less than a right angle ; which is absurd. Therefore...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 pages
...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 - Geometry - 1876 - 446 pages
...F is 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,...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... | |
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But by the hypothesis, it is less than a right angle ; which is absurd. Therefore the angles ABC, DEF are not unequal, that is, they are equal : And the angle at A is equal to the angle at D ; wherefore... 
