 | Euclid, John Playfair - 1795 - 462 Seiten
...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 - 374 Seiten
...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 - 1813 - 714 Seiten
...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 - 560 Seiten
...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 - 588 Seiten
...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 - 354 Seiten
...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 - 350 Seiten
...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 - 1046 Seiten
...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 - 326 Seiten
...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 - 584 Seiten
...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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ABD, the less to the greater, which is impossible ; therefore BE is not in the same straight line with BC. 
