| 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 - Geometry - 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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