| John Playfair - 1795 - 400 sider
...that no other can be in the fame ftraight line with it but BD, which therefore is in the fame ftaight **line with CB. Wherefore, if at a point, &c. Q^ED PROP. XV.** THEO R. IF two ftraight lines cut one another, the vertical, or oppoftte angles (hall be equal. Let... | |
| Alexander Ingram - 1799 - 351 sider
...that no other can be in the fame ftraight line with it but BD, which therefore is in the fame ftraight **line with CB. Wherefore, if at a point, &c. Q^ED PROP. XV. THEOR. IF two** ftraight lines cut one another, the vertical, or oppojite, angles fliall be equal. Let the two ftraight... | |
| John Mason Good, Olinthus Gilbert Gregory - 1813
...to t«-o right angles, these two straight lines •hall be in one and the same straight line. Piop. **XV. Theor. If two straight lines cut one another, the vertical, or opposite, angles shall be equal.** Prop. XVt Theor. If one side of a triangle be produced, the exterior angle is greater than «jtherof... | |
| Euclides - 1814
...greater, which is impossible; therefore BE is not in the same straight line with BC. And, in like manner, **it may be demonstrated, that no other can be in the...in the same straight line with CB. Wherefore, if at** a'point, &e. QED For, if BD be not in the same straight line with GB, let Boo' I. BE be in the same... | |
| Euclides - 1816 - 528 sider
...greater, which is impossible ; therefore BE is not in the same straight line with BC. And, in like manner, **it may be demonstrated, that no other can be in the same straight ' line with it but BD,** whiph therefore is in the same straight line with CB. Wherefore, if at a point, &c. QED PROP. XV. THEOR.... | |
| John Playfair - 1819 - 317 sider
...greater, which is impossible ; therefore BE is not in the same straight line with BC. And in like manner, **it may be demonstrated, that no other can be in the...cut one another, the vertical, or opposite angles** arc equal. Let the two straight lines AB, CD cut one another in the point E : the angle AEC shall be... | |
| John Playfair - 1819 - 333 sider
...greater, which is impossible ; therefore BE is not in the same straight line with BC. And in like manner, **it may be demonstrated, that no other can be in the...Wherefore, if at a point, &c. QED PROP. XV. THEOR.** //" two straight lines cut one another, the -vertical, or opposite angles are equal. Let the two straight... | |
| Peter Nicholson - 1825 - 372 sider
...greater, which is impossible ; therefore BE is not in the same straight line with BC. And in like manner, **it may be demonstrated, that no other can be in the same straight line with it but BD, which** tlterefore is in the same straight line with CB. Wherefore, if at э point, &c. Q. £. D. Proposition... | |
| Euclid, John Playfair - 1826 - 320 sider
...manner, it may be demonstrated, that no other ean he in the same straight line with it but BD, whieh **therefore is in the same straight line with CB. Wherefore, if at a point,** is'e. QED PROP. XV. THEOR. If two straight lines eut one another, the vertieal, or opposite angles... | |
| Pierce Morton - 1830 - 272 sider
...one straight Une with another upon one side of it, are, together, equal to two right angles . . 5 (i) **If two straight lines cut one another, the vertical or opposite angles** are equal . . 5 (c) All the angles which are made upon one side of a straight line at the same point... | |
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