| John Keill - 1723 - Liczba stron: 444
...Right Angle. Therefore the+jj.^^ other Angles BAD, ABD, are equal to one Right Angle. But the Angle ABF is alfo a Right Angle: Therefore the Angle ABF, is * equal to the Angles* jz. i. BAD, ABD; and if ABD, which is common, be taken away, then the Angle DBF remaining,... | |
| Robert Simson - 1762 - Liczba stron: 488
...that plane meets it. therefore the angle ABF is a right angle ; but the angle ABC, by the Hypothefis, is alfo a right angle ; therefore the angle ABF is...equal to the angle ABC, and they are both in the fame plane,which is impoffible. therefore the ftraight line BC is not above the plane in' which are BD and... | |
| Euclid - 1765 - Liczba stron: 492
...plans beneath, touches it : Therefore ABF is a right angle. But the angle ABC is alfo fupp.>fed to be a right angle: Therefore the angle ABF is equal to...angle ABC; and they are both .in the fame plane; which [by q. ax.] is impoffible. Therefore the right line EC is not above the plane beneath: Therefore the... | |
| Robert Simson - 1775 - Liczba stron: 534
...that plane meets it: Therefore the angle ABF is a right angle ; but the angle ABC, by the hypothefis, is alfo a right angle ; therefore the angle ABF is...angle ABC, and they are both in the fame plane, which is impomble : Therefore the ftraight line BC is not above the' plane in which are BD and BE: Wherefore... | |
| Euclid - 1781 - Liczba stron: 552
...that plane meets it: Therefore the angle ABF is a right angle ; but the angle ABC, by the hypothefis, is alfo a right angle ; therefore the angle ABF is...angle ABC, and they are both in the fame plane, which is impoflible : Therefore the ftraight line BC rs not above the plane in which are BD and BE : "Wherefore... | |
| Robert Simson - 1781 - Liczba stron: 534
...that plane meets it. therefore the angle ABF is a right angle ; but the angle ABC, by the Hypothefis, is alfo a right angle ; therefore the angle ABF is equal to the angle A11C, and they are both in the fame plane, which is impoftible. therefore the ftraight line BC is not... | |
| Euclid, John Playfair - 1795 - Liczba stron: 462
...that plane meets it : therefore the angle ABF is a right angle ; but the angle ABC, by the hypothefis, is alfo a right angle ; therefore the angle ABF is...angle ABC, and they are both in the fame plane, which is impofuble : — therefore the ftraight line BC is not above the plane in which are BD and BE : Wherefore... | |
| Alexander Ingram - 1799 - Liczba stron: 374
...plane, meets it ; therefore the angle ABF is a right angle : but the angle ABC, by the hypothefis, is alfo a right angle ; therefore the angle ABF is...angle ABC, and they are both in the fame plane ; which is impoffible : Therefore the ftraight line BC is not above the plane in which are a 3. n. b 4. it.... | |
| Robert Simson - 1804 - Liczba stron: 530
...that plane meets it. therefore the angle ABF is a right angle ; but the angle ABC, by the Hypothefis, is alfo a right ,angle; therefore the angle ABF is...angle ABC, and they are both in the fame plane, which is impoflibfe. therefore the ftraight line BC is not above the plane in which are BD and BE. wherefore... | |
| John Playfair - 1806 - Liczba stron: 320
...in that plane ; therefore the angle ABF is a right angle. But, by the Viypothesis, the angle ABC is a right angle ; therefore the angle ABF is equal to the angle ABC ; and they are both in -the same Suppl. plane, which is impossible. Therefore the straight line BC wv^/ is not above the plane... | |
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