 | Education Department,London - 1876 - 1010 pages
...formed whose sides arc parallel to those of the original triangle. 1. If a straight line falling on two other straight lines make the exterior angle equal to the interior and opposite angle on the same side of the line, the two straight lines shall be parallel to one another. 2. Parallelograms... | |
 | 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... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...to CD. Wherefore, if a straight line, &c. QEO PROPOSITION XXVIIL THEOREM. If a straight line falling upon two other straight lines, make the exterior angle equal to the interior auji opposite upon the same tide of the line ; or make the interior angles upon the tame side together... | |
 | 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... | |
 | Edward Atkins - 1876 - 130 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 also the two interior angles upon the same side together equal to two right angles. Let the straight... | |
 | 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... | |
 | 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
...upon two other straight lines make tlie exterior angle equal to the interior and opposite upon thr, same side of the line, or make the interior angles...the same side together equal to two right angles, tlie two Straight lines shall be parallel to one another. Let the straight line EF, which falls upon... | |
 | 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... | |
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If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another... 
