 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 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... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...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... | |
 | Euclides - Geometry - 1853 - 176 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... | |
 | Euclides - 1860 - 288 pages
...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... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 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... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 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... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 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... | |
 | Robert Potts - 1868 - 434 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... | |
 | Euclides - 1874 - 342 pages
...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... | |
 | Robert Potts - Geometry - 1876 - 446 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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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. 
