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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... "
Elements of Geometry;: Containing the First Six Books of Euclid, with Two ... - Σελίδα 156
των Euclid, John Playfair - 1795 - 400 σελίδες
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

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...

The Elements of Euclid, containing the first six books, with a selection of ...

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...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

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...

The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

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...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

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....

The Thirteen Books of 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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