 | Education - 1850 - 488 pages
...angle is greater than cither of the interior opposite angles. SECTION II. 1. If a straight line falling upon two other straight lines, make the exterior angle...two straight lines shall be parallel to one another. 2. If one side of a triangle be produced, the exterior angle is equal to the two interior and opposite... | |
 | Education - 1851 - 502 pages
...line fall upon two parallel straight lines, it makes the alternate angles equal to each other: and the exterior angle equal to the interior and opposite upon the same side : and likewiie the two interior angles upon the same side together equal to two right angles. 2. In... | |
 | Euclides - 1852 - 152 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. Let the... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...line fall upon two parallel straight lines, it makes the alternate angles equal to one anotker ; 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. Let the... | |
 | Euclides - 1853 - 146 pages
...line fall upon two parallel straight lines, if 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. Let the... | |
 | Insurance - 1853 - 394 pages
...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. 30. Draw through a given point between two straight lines not parallel a straight line which shall... | |
 | Euclides - Geometry - 1853 - 176 pages
...fall upon two parallel straigM lines, ii makes the aliernate angles equal to one, another ; and tlie 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 rigM angles. LET the... | |
 | Euclid - Geometry - 1853 - 176 pages
...lines (AB and CD), both in the same plane, and form internal angles at the same side (BGH and GHD) equal to two right angles, the two straight lines shall be parallel. DEMONSTRATION. Becanse the angles BGH and GHD are equal to two right angles (a), and the angles AGH... | |
 | Popular educator - 1852 - 1272 pages
...straight lines AB and o D are parallel. QED PROPOSITION XXVIII.*-THEOREM. If a straight line falling upon two other straight lines, make the exterior angle equal to the interior and opposite angle upon the lame side of the straight line ; or make the two interior angles upon the tame side... | |
 | Thomas Lund - Geometry - 1854 - 520 pages
...as already proved. COR. 2. If the two interior angles on the same side of the intersecting line are together equal to two right angles, the two straight lines shall be parallel. For, since / BEF ± t BEG =two right angles (30), .-. / BEF + t BEG = t BEF + L EFD, and .-. L EEG=t... | |
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If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another... 
