| Euclid, James Thomson - Geometry - 1837 - 410 pages
...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,** t Let the straight lines AB, CD be parallel, and let EF fall upon them ; then (1.) the alternate angles... | |
| Euclides - Euclid's Elements - 1837 - 112 pages
...equal to one another, and the exterior angle equal to the interior and opposite upon the same side; and **the two interior angles upon the same side together equal to two right angles.** Steps of the Demonstration. Suppose that Z AGH ^ GHD, and that AGH > GHD, Then prove, on that supposition,... | |
| Andrew Bell - Euclid's Elements - 1837 - 290 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 - 1838 - 264 pages
...angles equal to one another ; and the exterior angle equal to the interior and opposite upon the tame **side ; and likewise the two interior angles upon the...straight lines AB, CD : the alternate angles AGH, GHD** shall be equal to one another : and the exterior angle EGB shall be equal to the interior nnd opposite,... | |
| Euclides - Geometry - 1841 - 378 pages
...makes 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. Let the straight line EF, which falls upon... | |
| Euclides - 1842 - 316 pages
...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...are equal to one another ; and the exterior angle** EG в is equal to the interior and opposite, upon the same side, GHD; and the two interior angles BGH,... | |
| William Chambers, Robert Chambers - Encyclopedias and dictionaries - 1842 - 938 pages
...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...the same side together equal to two right angles.** Now, the assertion contained in this theorem is both easy of comprehension and evident to the senses... | |
| John Playfair - Euclid's Elements - 1842 - 332 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 are parallel to one another. Let the straight line EF, which falls upon the... | |
| Euclides - 1845 - 546 pages
...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...line EF fall upon the parallel straight lines AB, CD.** Then the alternate angles A GH, G HD shall be equal to one another ; the exterior angle EGB shall be... | |
| Euclid, James Thomson - Geometry - 1845 - 382 pages
...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,** t Let the straight lines AB, CD be parallel, and let EF fall upon them ; then (1) the alternate angles... | |
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