 | Eucleides - 1860 - 396 pages
...same manner it may be shown that the angle at E is not greater than the angle ABC ; therefore they are equal, and the angle at A is equal to the angle at D, wherefore toe remaining angle at C is equal to the remaining angle at F ; and the. triangles ABC and DEF are... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...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 the remaining angle at C is equal to the remaining angle at F: (I. 32.) therefore... | |
 | Euclides - 1864 - 448 pages
...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 : (hyp.) wherefore the remaining angle at C is equal to the remaining angle at F: (I. 32.) therefore... | |
 | Euclides - 1865 - 402 pages
...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
...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 the remaining angle at C is equal to the remaining angle at F: (i. 32.) therefore... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...[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 ; therefore the... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...ABC is equal to the angle DEF. [Ax. 1. For the same reason, the angle ACB is equal to the angle DFE, and the angle at A is equal to the angle at D. Therefore the triangle ABC is equiangular to the triangle DEF. Wherefore, if the sides &c. QED PROPOSITION... | |
 | Robert Potts - 1868 - 434 pages
...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 : (hyp.) wherefore the remaining angle at C is equal to the remaining angle at F: (I. 32.) therefore... | |
 | Euclides - 1874 - 342 pages
...right angle ; which is absurd. Therefore 6. The 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 7. The remaining angle at C is equal to the remaining angle atF(L 32); therefore... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...than a right angle ; which ia 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 : (hyp.) wherefore the remaining angle at C is equal to the remaining angle a F: (I. 32.) therefore... | |
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D ; wherefore the remaining angle at C is equal to the remaining angle at F ; Therefore the triangle ABC is equiangular to the triangle DEF. 
