 | Andrew Bell - Euclid's Elements - 1837 - 290 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... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...straight line, &c. QED PROP. XXVIII. THEOR. IF a straight line falling upon two other straight lines makes 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... | |
 | Euclides - 1838 - 264 pages
...and the exterior angle equal to the interior and opposite upon the tame side ; and likewise the two interior angles upon the same side together equal to two right angles. Let the straight line EF fall upon the parallel straight lines AB, CD : the alternate angles AGH, GHD... | |
 | Euclides - Geometry - 1841 - 378 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... | |
 | Chambers W. and R., ltd - 1842 - 744 pages
...the exterior angle equal to the interior and opposite angle upon the same side of the line, or makes the interior angles upon the same side together equal...two straight lines shall be parallel to one another. To make this more clear, it may be as well to subjoin an example. Let the straight line EF, which E»... | |
 | William Chambers, Robert Chambers - Encyclopedias and dictionaries - 1842 - 938 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. Now,... | |
 | Euclides - 1842 - 316 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... | |
 | John Playfair - Euclid's Elements - 1842 - 332 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... | |
 | Education - 1844 - 688 pages
...two straight lines cut one another the vertical angles shall be equal. 4. If a straight line, falling upon two other straight lines, make the exterior angle...same side of the line, or make the interior angles on the same side together equal to two right angles, the two straight lines shall be parallel. 5. If... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...the exterior angle equal to the interior and remote, upon the same side of that line ; and (2) if it make the interior angles upon the same side together equal to two right angles. Let the straight line EF, which falls upon the two straight lines, AB, CD, make the exterior angle... | |
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If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another... 
