| Education - 1850
...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
...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
...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
...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
...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
...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 - 147 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 - 136 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
...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 - 192 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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