 | John Playfair - 1844 - 338 sider
...is a right angle; but the angle ABC, by the hypothesis is also a right angle ; therefore the apgle ABF is equal to the angle ABC, and they are both in the same plane, which is impossible : therefore the straight line BC is not above the plane in which are... | |
 | Euclides - 1845 - 546 sider
...meets it ; therefore the angle ABF is a right angle : but the angle ABC, by the hypothesis, is also a right angle ; therefore the angle ABF is equal to the angle ABC, and they are both in the same plane, which is impossible ; (i. ax. 9-) therefore the straight line BC is not above the plane... | |
 | Euclid, John Playfair - 1846 - 334 sider
...meets it ; therefore the angle ABF is a right angle ; but the angle ABC, by the hypothesis is also a right angle ; therefore the angle ABF is equal to the angle ABC, and they are both in the same plane, which is impossible : therefore the straight line BC is not above the plane in which are... | |
 | Euclides - 1846 - 292 sider
...it in that plane, and therefore the angle ABIT is a right angle : But the angle ABC (Hyp,) is also a right angle ; therefore the angle ABF is equal to the angle ABC, and they are hoth in the same plane — which is impossible : Therefore the straight line BC is not without the... | |
 | Samuel Hunter Christie - 1847 - 172 sider
...meets it; therefore the angle ABF is a right angle : but the angle ABC, by the hypothesis, is also a right angle; therefore the angle ABF is equal to the angle ABC, and they are both in the same plane, which is (I. Ax. 9) impossible; therefore the straight line BC is not above the plane in... | |
 | Euclides - 1855 - 230 sider
...hypothesis, is also a right angle ; there(a) XI. 3. (6) XI. 4. (c) XI. Def. 3. (rf) I. Ax. 9. fore the angle ABF is equal to the angle ABC, and they are both in the same plane; which is impossible (d) : therefore the straight line BC is not above the plane in which... | |
 | Euclides - 1855 - 270 sider
...in that plane, meets it. Therefore the angle ABF is a right angle. But the angle ABС (Hyp.) is also a right angle. Therefore the angle ABF is equal to the angle ABС, and they are both in the same plane, which is (I. Ax. 9) impossible. Therefore the straight line... | |
 | Eucleides - 1860 - 396 sider
...hypothesis, is also a right angle ; there(a) XI. 3. (6. — 6) XI. 4. c) XI. Def. 3. d) I. Ax. 9. fore the angle ABF is equal to the angle ABC, and they are both in the same plane; which is impossible (d): therefore the straight line BC is not above the plane in which... | |
 | Robert Potts - 1865 - 528 sider
...meets it ; therefore the angle ABF is a right angle : but the angle ABC, by the hypothesis, is also a right angle; therefore the angle ABF is, equal to the angle ABC, and they are both in the same plane, which is impossible ; (i. ax. 9.) therefore the straight line BC is not above the plane... | |
 | Robert Potts - 1868 - 434 sider
...meets it ; therefore the angle ABFis a right angle : but the angle ABC, by the hypothesis, is also a right angle; therefore the angle ABF is equal to the angle ABC, and they are both in the same plane, which is impossible; (I. ax. 9.) therefore the straight line BC is not above the plane... | |
| |
ABC, and they are both in the same plane, which is impossible ; therefore the straight line BC is not above the plane in which are BD and BE: wherefore, the three straight lines BC, BD, BE are in one and the same plane. Therefore, if three straight lines,... 
