| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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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