 | Richard Wormell - 1876 - 268 pages
...(c). " When a straight line, falling across two other straight lines, makes the two interior angles on the same side together equal to two right angles, the two straight lines are parallel." And conversely — (of). " When a straight line falls across two parallel straight lines... | |
 | Henry Major - 1876 - 784 pages
...line fall upon two parallel straight Hues, it makes the alternate angles equal to one another, and the exterior angle equal to the interior and opposite upon the same side; and likewise the two interior angles npon the same side together equal to two right angles. 3. Equal... | |
 | 1876 - 400 pages
...line fall upon two parallel straight lines, it makes the alternate angles equal to one another, and the exterior angle equal to the interior and opposite upon the same side ; and likewise the two interior angles upon the same side together equal to two right angles. AB is... | |
 | Edward Atkins - 1876 - 130 pages
...equal to the third angle EDF(I. 4). Therefore, if two triangles, &c. QED Proposition 27. — Theorem. If a straight line falling upon two other straight lines make the alternate angles equal to one another, these two straight lines shall be parallel. Let the straight... | |
 | Euclides, James Hamblin SMITH - 1876 - 382 pages
...side together equal to two right angles, and also the alternate angles equal to one another, and also the exterior angle equal to the interior and opposite upon the same tide. z T Let the st. line EF fall on the parallel st. lines AB, CD. Then must I. / s BGH, GHD together=two... | |
 | Edward Atkins - 1877 - 72 pages
...equal to the third angle EDF (I. 4). Therefore, if two triangles, <kc. QED Proposition 27. — Theorem. If a straight line falling upon two other straight lines make the alternate angles equal to one another, these two straight lines shall be parallel, Let the straight... | |
 | Euclides, James Hamblin Smith - 1879 - 376 pages
...26. PROPOSITION' XXVIII. THEOREM. If a straight line, falling upon two other straight lines, makt, the exterior angle equal to the interior and opposite...equal to two right angles; the two straight lines are parallel to one another. Let the st. line EF, falling on st. lines AB, CD, make I. L EGB = corresponding... | |
 | Euclides - 1879 - 146 pages
...parallel to the base or perpendicular to it. PROPOSITION XXVIII. THEOREM. If a straight line falling on two other straight lines •make the exterior angle equal to the interior and opposite on the same side of the line; or make the interior angles on fhe same side together equal to two right... | |
 | Moffatt and Paige - 1879 - 474 pages
...and the exterior angle equal to the interior and opposite angle upon the same side, and also the two interior angles upon the same side together equal to two right angles. Let the straight line EF fall upon the parallel straight lines AB,CD. Then, the alternate angles AGH,... | |
 | W J. Dickinson - Geometry - 1879 - 44 pages
...the exterior angle equal to the interior and opposite angle upon the same side, and likewise the two interior angles upon the same side together equal to two right angles. Same proposition. In the triangle ABC, AD bisecting the angle BAC meets EC in D, and DE, DF parallel... | |
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Wherefore, if a straight line, &c. QB D. PROPOSITION XXVIII. THEOB.—-If a straight line, falling upon two other straight lines, make the exterior angle equal to... 
