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" But it was proved that the angle AGB is equal 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. "
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books - Page 248
by Euclid, Edmund Stone - 1765 - 464 pages
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 317 pages
...than a right angle, and the adjacent angle AGB must be greater than a right angle (13. 1.). But it was proved that the angle AGB is equal to the angle at...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 are...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853
...a right angle, and the adjacent angle AGB must be greater than a right angle (13. i.) : But it was proved that the angle AGB is equal to the angle at...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 are...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 147 pages
...than a right angle, and the adjacent angle agb must be greater than a right angle (i. 13). But it was proved that the angle agb is equal to the angle at...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 ab С, def...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...than a right angle, and the adjacent angle AGB must bo greater than a right angle (I. 13). But it was proved that the angle AGB is equal to the angle at...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...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 361 pages
...angle ; and therefore the adjacent angle AGB must be greater than a ria;>!t angle; (I. 13.) but it was proved that the angle AGB is equal to the angle at...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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 400 pages
...the adjacent angle AGB must be greater than a right angle. [I. 13. But the angle AGB was shewn to be equal to the angle at F; therefore the angle at F is greater than a right angle. But the angle at F is less than a right angle ; [Hypotkesw. which is absurd. Therefore the angles ABC and...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 400 pages
...AGB must be greater than a right angle. [I. 13. But the angle AGB was shewn to be equal to the angle therefore the angle at F is greater than a right angle. But the angle at F is less than a right angle ; [Hypothesis. which is absurd. Therefore the angles ABC...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 pages
...angle ; and therefore the adjacent angle AGB must be greater than a right angle; (I. 13.) but it was proved that the angle AGB is equal to the angle at...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 are...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...angle ; and therefore 4. The adjacent angle AGB must be greater than a right angle (I. 13) ; but it was proved that the angle AGB is equal to the angle at F; therefore • 6. The angle at F is greater than a right angle ; but, by the hypothesis, it is less than a right...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1876 - 403 pages
...adjacent angle A GB must be greater than a right angle; (I. 13.) but it was proved that the angle A GB is equal 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 ia absurd. Therefore the angles ABC, DEF are...
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