| Eucleides - 1860
...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 - 361 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
...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
...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... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 400 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 - 400 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 - 410 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
...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, Plane - 1876 - 403 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... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 400 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... | |
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