| Andrew Bell - Euclid's Elements - 1837 - 240 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... | |
| Euclid, Robert Simson - Geometry - 1838 - 416 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
...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 - 351 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
...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
...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
...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 - 317 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
...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 - 352 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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