| Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...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 - Trigonometry - 1799 - 374 pages
...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 pages
...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 pages
...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...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 pages
...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 pages
...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...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 - Circle-squaring - 1819 - 350 pages
...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...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 - Mathematics - 1825 - 1046 pages
...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 - Euclid's Elements - 1826 - 326 pages
...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 - Geometry - 1830 - 584 pages
...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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