| Euclides - 1846 - 292 pages
...the exterior angle cqual 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... | |
| Euclides - 1848 - 52 pages
...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. PROP. XXX. THEOREM. Straight lines which are parallel to the same straight line are parallel to each... | |
| Elias Loomis - Conic sections - 1849 - 252 pages
...exterior angle equal to the interior and opposite on the same side; and the two interior angles on the same side together equal to two right angles. Let the straight line EF intersect the two parallel lines AB, CD; the alternate angles AGH, GHD are gle EGB is equal to the... | |
| Euclid, Thomas Tate - 1849 - 120 pages
...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 egual to two right angles. Let the straight line EF fall upon the parallel straight lines AB, CD; the... | |
| Education - 1850 - 488 pages
...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. 2. If one side of a triangle be produced,... | |
| Education - 1851 - 502 pages
...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 a right-angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles... | |
| Euclides - 1852 - 152 pages
...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... | |
| Euclides - Geometry - 1853 - 178 pages
...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 straight line ef fall upon the parallel straight lines ab, С d ; the alternate... | |
| Insurance - 1853 - 394 pages
...to 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. 30. Draw through a given point between two straight lines not parallel a straight line which shall... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...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... | |
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