 | Euclides - 1874 - 342 sider
...therefore 2. The angle ABFis a right angle. But the angle ABC is also a right angle (hyp.) ; therefore 3. The angle ABF is equal to the angle ABC, and they are both in the same plane ; which is impossible (1 Ax. 9) ; therefore 4. The straight line BC is not out of the plane... | |
 | Euclid - 1876 - 240 sider
...meets it ; therefore the angle ABF is a right angle : but the a.ngle ABC, by the hypothesis, ia 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 (d) : therefore the straight line BC is not above the plane in which... | |
 | Euclides - 1881 - 236 sider
...in that plane, meets it. Therefore the angle ABF 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 both in the same plane, which is (I. Ax. 9) impossible. Therefore the straight line BC is not out of the plane... | |
 | Euclid - 1908 - 576 sider
...reference meets it ; therefore the angle ABF is right. But, by hypothesis, the angle ABC is also right ; therefore the angle ABF is equal to the angle ABC. And they are in one plane : which is impossible. Therefore the straight line BC is not in a more elevated plane... | |
 | 562 sider
...reference meets it ; therefore the angle ABF is right. But, by hypothesis, the angle ABC is also right ; therefore the angle ABF is equal to the angle ABC. And they are in one plane : which is impossible. Therefore the straight line BC is not in a more elevated plane... | |
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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,... 
