 | Euclides - 1834 - 518 sider
...angles upon the same side together equal to two right angles. .'. it. CD : the alternate angles Aim, GHD shall be equal to one another ; and the exterior angle EGB shall be equal to the interior and opposite, upon the same side, GHD; and the two interior angles BGH, g ^. . GHD upon the same side,... | |
 | 1835 - 684 sider
...equal to one another, or the exterior angle equal to the interior and opposite upon the same side, or the two interior angles upon the same side together equal to two right angles, those two straight lines are parallel . . . cor. 13 (e) And conversely, if a straight line falls upon... | |
 | Euclid - 1835 - 540 sider
...the exterior angle equal to the interior and opposite upon the same side of the fine ; or makes the interior angles upon the same side together equal to two right angles ; the two straight lines are parallel to one another. Let the straight line EF, which J£ falls upon... | |
 | 1836 - 488 sider
...equal to one another ; and 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. XXX. Straight lines which are parallel to the same straight line are parallel to one another. XXXII.... | |
 | Euclides - 1837 - 112 sider
...equal to one another, and the exterior angle equal to the interior and opposite upon the same side; and the two interior angles upon the same side together equal to two right angles. Steps of the Demonstration. Suppose that Z AGH ^ GHD, and that AGH > GHD, Then prove, on that supposition,... | |
 | Euclid, James Thomson - 1837 - 410 sider
...one another ; (2.) the exterior angle equal to the interior and remote upon the same side ; and (3.) the two interior angles upon the same side together equal to two right angles, t Let the straight lines AB, CD be parallel, and let EF fall upon them ; then (1.) the alternate angles... | |
 | John Playfair - 1837 - 332 sider
...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 tu two right angles. Let the straight line EF fall upon the parallel straight lines AB, CD ; the alternate... | |
 | Andrew Bell - 1837 - 290 sider
...the exterior angle equal to the interior and opposite upon the same side of the line, or makes the interior angles upon the same side together equal to two right angles, the two straight lines shall be parallel to one another. Let the straight line EF, which falls upon... | |
 | Robert Simson - 1838 - 434 sider
...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...straight lines AB, CD ; the alternate angles, AGH, GHD are equal to one another; and the exterior angle EGB is equal to the interior and opposite upon the... | |
 | Euclides - 1841 - 378 sider
...makes the exterior angle equal to the interior and opposite upon the same side of the line: or make the interior angles upon the same side together equal to two right angles; the two straight lines shall be parallel to one another. Let the straight line EF, which falls upon... | |
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If a, straight 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... 
